From c716ada214668fddfe8489e57dbe47ac32dd06f8 Mon Sep 17 00:00:00 2001
From: midonc <midonc@exflong10.desy.de>
Date: Mon, 22 Apr 2024 09:34:53 +0200
Subject: [PATCH] added fastXPCS from online cluster

---
 fastXPCS/__init__.py                      |    31 +
 fastXPCS/algos.py                         |   310 +
 fastXPCS/fastXPCS/cython/dense.c          | 23828 +++++++++++++++++++
 fastXPCS/fastXPCS/cython/dense.pyx        |   192 +
 fastXPCS/fastXPCS/cython/fxpcs_sparse.c   | 24982 ++++++++++++++++++++
 fastXPCS/fastXPCS/cython/fxpcs_sparse.pyx |   269 +
 fastXPCS/fastXPCS/cython/welford.c        | 20991 ++++++++++++++++
 fastXPCS/fastXPCS/cython/welford.pyx      |    34 +
 fastXPCS/processOnCPU.py                  |   310 +
 fastXPCS/setup.py                         |    48 +
 10 files changed, 70995 insertions(+)
 create mode 100644 fastXPCS/__init__.py
 create mode 100644 fastXPCS/algos.py
 create mode 100644 fastXPCS/fastXPCS/cython/dense.c
 create mode 100644 fastXPCS/fastXPCS/cython/dense.pyx
 create mode 100644 fastXPCS/fastXPCS/cython/fxpcs_sparse.c
 create mode 100644 fastXPCS/fastXPCS/cython/fxpcs_sparse.pyx
 create mode 100644 fastXPCS/fastXPCS/cython/welford.c
 create mode 100644 fastXPCS/fastXPCS/cython/welford.pyx
 create mode 100644 fastXPCS/processOnCPU.py
 create mode 100644 fastXPCS/setup.py

diff --git a/fastXPCS/__init__.py b/fastXPCS/__init__.py
new file mode 100644
index 0000000..37ceb39
--- /dev/null
+++ b/fastXPCS/__init__.py
@@ -0,0 +1,31 @@
+from .algos import WelfordAlg
+
+def read_stats(path, pulseIds, user_mask=None):
+    import numpy as np
+    import xarray as xr
+    from h5py import File
+
+    with File(path) as stats:
+        mean_pixelcell = []
+        for mod in range(16):
+            summed= np.zeros((len(pulseIds),512,128))
+            counts = 0
+            for file in stats[f'mod{mod:02d}'].keys():
+                _cnt = np.array(stats[f'mod{mod:02d}/'+file+'/count'])
+                summed += np.array(stats[f'mod{mod:02d}/'+file+'/mean/'])*_cnt
+                counts += _cnt
+            mean_pixelcell.append(summed/counts)
+
+        mean_pixelcell = xr.DataArray(
+            data = np.stack(mean_pixelcell),
+            dims = ['module','pulseId','dim_0','dim_1'],
+            coords = dict(
+                module = np.arange(16),
+                pulseId = pulseIds,
+                dim_0 = np.arange(512),
+                dim_1 = np.arange(128))).transpose('pulseId','module','dim_0','dim_1')
+
+    if user_mask is not None:
+        mean_pixelcell = mean_pixelcell.where(~user_mask[None, :, :, :])
+
+    return mean_pixelcell
diff --git a/fastXPCS/algos.py b/fastXPCS/algos.py
new file mode 100644
index 0000000..85cd33c
--- /dev/null
+++ b/fastXPCS/algos.py
@@ -0,0 +1,310 @@
+import time
+from dataclasses import dataclass
+
+import numpy as np
+from .welford import welford
+from .dense import ttcDense, ttcDense_int
+from .fxpcs_sparse import sparsify, twoTime, twoTimeSymmNorm
+
+class WelfordAlg:
+
+    def __init__(self, size, dtype=np.float32):
+        self.dtype = dtype
+        self.count   = np.zeros(size, dtype=dtype)
+        self.avg     = np.zeros(size, dtype=dtype)
+        self.var     = np.zeros(size, dtype=dtype)
+        
+    def update(self, x, mask=None, alpha=None):
+        x = x.astype(self.dtype)
+        cond = ~mask & (self.count == 0)
+        self.avg = np.where(~mask, self.avg, x)
+        self.var = np.where(~mask, self.var, 0.0)
+
+        alph_arr = np.where(self.count, 1/self.count, 0.0)
+        if alpha is not None:
+            alph_arr[:] = np.where(~mask, alpha, 0.0)
+        welford(x, self.avg, self.var, alph_arr)
+        self.count = np.where(~mask, self.count + 1, self.count)
+
+### MATH ON TRAINS 
+
+def do_stats(iterator, *args):
+    
+    tids = list()
+    
+    tid, img, cmsk = iterator.__next__()
+    tids.append(tid)
+    
+    wf = WelfordAlg(img.shape)
+
+    _msk = (cmsk > 0).astype(np.bool_)
+    wf.update(img, _msk)
+
+    for tid, img, cmsk in iterator:
+        tids.append(tid)
+        _msk = (cmsk > 0).astype(np.bool_)
+        wf.update(img, _msk) 
+    
+        #print(tid, wf.count.mean()) 
+        
+    return tids, wf.avg, wf.var, wf.count
+
+##############
+# DENSE TTC
+##############
+
+def do_dense(iterator, m):
+    
+#   all_ttcs_on = list()
+#   all_ttcs_off= list()
+
+    tids = list()
+    
+    tid, img, cmsk = iterator.__next__()
+    tids.append(tid)
+    j = 0
+
+    prevImg = np.ones_like(img, dtype=img.dtype)
+    prevMsk = np.ones_like(m, dtype=m.dtype)
+
+    _msk = (m & ~np.any(cmsk, axis=0) & prevMsk).astype(np.uint8)
+
+    ttc_on, ttc_off = ttcDense_int(img.reshape(img.shape[0], -1),
+               prevImg.reshape(img.shape[0], -1), _msk)
+    s_on = np.einsum( 'ia, ja -> ij', _msk.reshape(_msk.shape[0], -1), img.reshape(img.shape[0], -1), 
+                                optimize='optimal', dtype=np.int32)
+    s_cnt = _msk.sum((1,2))
+#   all_ttcs_on.append(ttc_on)
+#   all_ttcs_off.append(ttc_off)
+    all_ttcs_on =  np.zeros( [256] + list(ttc_on.shape), dtype=img.dtype )
+    all_ttcs_off=  np.zeros( [256] + list(ttc_off.shape), dtype=img.dtype )
+    all_s_on =  np.zeros( [256] + list(ttc_on.shape)[:2], dtype=img.dtype )
+    all_s_cnt=  np.zeros( [256, ttc_on.shape[0]], dtype=img.dtype )
+
+    all_ttcs_on[j]  = ttc_on.copy()
+    all_ttcs_off[j] = ttc_off.copy()
+    all_s_on[j] = s_on.copy()
+    all_s_cnt[j] = s_cnt.copy()
+
+    prevImg[:] = img
+    prevMsk[:] = ~np.any(cmsk, axis=0)
+    
+    for tid, img, cmsk in iterator:
+        j += 1
+        tids.append(tid)
+
+        _msk = (m & ~np.any(cmsk, axis=0) & prevMsk).astype(np.uint8)
+        ttc_on, ttc_off = ttcDense_int(img.reshape(img.shape[0], -1),
+                prevImg.reshape(img.shape[0], -1), _msk)
+        s_on = np.einsum( 'ia, ja -> ij', _msk.reshape(_msk.shape[0], -1), img.reshape(img.shape[0], -1), 
+                                    optimize='optimal', dtype=np.int32)
+        s_cnt = _msk.sum((1,2))
+    
+        all_ttcs_on[j]  = ttc_on.astype(np.float32).copy()
+        all_ttcs_off[j] = ttc_off.astype(np.float32).copy()
+        all_s_on[j] = s_on.copy()
+        all_s_cnt[j] = s_cnt.copy()
+        #print(tid, j, flush=True)
+        prevImg[:] = img
+        prevMsk[:] = ~np.any(cmsk, axis=0)
+    
+    dx, dy = np.diag_indices(img.shape[0])
+    all_ttcs_on = all_ttcs_on + np.swapaxes(all_ttcs_on,-2,-1)
+    all_ttcs_on[:,:, dx, dy] //= 2
+    all_ttcs_off = all_ttcs_off + np.swapaxes(all_ttcs_off,-2,-1)
+    all_ttcs_off[:,:, dx, dy] //= 2
+
+    return tids, all_ttcs_on[:j+1], all_ttcs_off[:j+1], all_s_on[:j+1], all_s_cnt[:j+1]
+
+##############
+# SPARSE TTC
+##############
+
+@dataclass
+class TTCdata:
+    user_q_mask = None
+    current_image = None
+    current_image_sparse = None
+    current_cal_mask = None
+    prev_image = None
+    prev_image_sparse = None
+    prev_mask = None
+    ttc_on = None
+    ttc_off = None
+    s_on = None
+    s_off = None
+    s_cnt = None
+
+def do_sparse_train(data: TTCdata):
+    if data.prev_image is None:
+        data.prev_image = np.ones_like(data.current_image)
+        data.prev_image_sparse = data.current_image_sparse # sparsify(data.prev_image.reshape(data.prev_image.shape[0], -1))
+        data.prev_mask = np.ones_like(data.user_q_mask)
+
+    start = time.time()
+    _msk = (data.user_q_mask & ~np.any(data.current_cal_mask, axis=0) & data.prev_mask).astype(np.uint8)
+    # print(f"Mask: {time.time() - start:.3f}")
+
+    _im = data.current_image.reshape(data.current_image.shape[0], -1)
+    start = time.time()
+    a = data.current_image_sparse # sparsify(_im)
+    # print(f"Sparsifying ({a.shape}): {time.time() - start:.3f}")
+    reps =  (_im > 0).sum(0).cumsum().astype(np.uint32)
+
+    _imPrev = data.prev_image.reshape(data.prev_image.shape[0], -1)
+    b = data.prev_image_sparse # sparsify(_imPrev)
+    start = time.time()
+    repsPrev =  (_imPrev > 0).sum(0).cumsum().astype(np.uint32)
+    # print(f"repsPrev: {time.time() - start:.3f}")
+
+    start = time.time()
+    data.s_cnt = _msk.sum((1,2))
+    # print(f"s_cnt: {data.s_cnt}")
+    ttc_on, ttc_off, s_on, s_off  = twoTime(a, reps, b, repsPrev,
+                                            _msk, data.current_image.shape[0])
+    # print(f"TTCF: {time.time() - start:.3f}")
+    data.ttc_on = ttc_on
+    data.ttc_off = ttc_off
+    data.s_on = s_on
+    data.s_off = s_off
+
+    data.prev_image = data.current_image
+    data.prev_image_sparse = data.current_image_sparse # a
+    data.prev_mask = ~np.any(data.current_cal_mask, axis=0)
+
+def do_sparse(iterator, m):
+    
+#   all_ttcs = list()
+
+    tids = list()
+
+    tid, img, cmsk = iterator.__next__()
+    tids.append(tid)
+    j = 0
+
+    ttc_data = TTCdata()
+    ttc_data.user_q_mask = m
+    ttc_data.current_image = img
+    ttc_data.current_cal_mask = cmsk
+
+    do_sparse_train(ttc_data)
+
+    ttc_on_shape = list(ttc_data.ttc_on.shape)
+    all_ttcs_on =  np.zeros( [256] + ttc_on_shape, dtype=img.dtype )
+    all_ttcs_off =  np.zeros( [256] + ttc_on_shape, dtype=img.dtype )
+    all_s_on = np.zeros( [256] + ttc_on_shape[:2], dtype=img.dtype )
+    all_s_off = np.zeros( [256] + ttc_on_shape[:2], dtype=img.dtype )
+    all_s_cnt = np.zeros( [256, ttc_on_shape[0]], dtype=img.dtype )
+
+    all_ttcs_on[j]  = ttc_data.ttc_on.copy()
+    all_ttcs_off[j]  = ttc_data.ttc_off.copy()
+    all_s_on[j]  = ttc_data.s_on.copy()
+    all_s_off[j]  = ttc_data.s_off.copy()
+    all_s_cnt[j]  = ttc_data.s_cnt.copy()
+    
+    for tid, img, cmsk in iterator:
+        j += 1
+        tids.append(tid)
+
+        ttc_data.current_image = img
+        ttc_data.current_cal_mask = cmsk
+
+        do_sparse_train(ttc_data)
+
+        all_ttcs_on[j]  = ttc_data.ttc_on.copy()
+        all_ttcs_off[j]  = ttc_data.ttc_off.copy()
+        all_s_on[j]  = ttc_data.s_on.copy()
+        all_s_off[j]  = ttc_data.s_off.copy()
+        all_s_cnt[j]  = ttc_data.s_cnt.copy()
+        
+    dx, dy = np.diag_indices(img.shape[0])
+    all_ttcs_on = all_ttcs_on + np.swapaxes(all_ttcs_on,-2,-1)
+    all_ttcs_on[:,:, dx, dy] //= 2
+
+    return tids, all_ttcs_on[:j+1], all_ttcs_off[:j+1], all_s_on[:j+1], all_s_off[:j+1], all_s_cnt[:j+1]
+
+##############
+# NUMPY EINSUM
+##############
+
+def do_traditional(iterator, m):
+    
+    tids = list()
+    
+    tid, img, cmsk  = iterator.__next__()
+    tids.append(tid)
+    j = 0
+
+    prevImg = np.ones_like(img, dtype=img.dtype)
+    prevCmsk = np.ones_like(cmsk, dtype=img.dtype)
+
+    ttc_on  = np.zeros( (m.shape[0], img.shape[0], img.shape[0]), dtype=img.dtype)
+    ttc_off = np.ones_like(ttc_on)
+    s_on = np.ones((m.shape[0], img.shape[0], ), dtype=img.dtype)
+    s_off = np.ones((m.shape[0], img.shape[0], ), dtype=img.dtype)
+    s_cnt = np.ones((m.shape[0]), dtype=img.dtype)
+
+    _ttc = np.zeros( (img.shape[0], img.shape[0]), dtype=img.dtype )
+
+    all_ttcs_on  = np.zeros( (256, m.shape[0], img.shape[0], img.shape[0]), dtype=img.dtype )
+    all_ttcs_off = np.ones_like(all_ttcs_on)
+    all_s_on = np.ones( (256, m.shape[0], img.shape[0], ), dtype=img.dtype )
+    all_s_off = np.ones( (256, m.shape[0], img.shape[0], ), dtype=img.dtype )
+    all_s_cnt = np.ones( (256, m.shape[0]), dtype=img.dtype )
+
+
+    for i, _m in enumerate(m):
+        _msk = (_m & ~(np.any(cmsk, axis=0)) & ~(np.any(prevCmsk, axis=0))).astype(_m.dtype)
+        _a = img[:, _msk].reshape(img.shape[0], -1)
+        _ttc = np.einsum( 'ia, ja -> ij', _a, _a, optimize='optimal', dtype=np.int32)
+        _s = np.nansum(_a,1)
+        ttc_on[i]  = _ttc 
+        s_on[i]  = _s
+        s_cnt[i]  = np.nansum(_msk)
+
+        _b = prevImg[:, _msk].reshape(img.shape[0], -1)
+        _ttc = np.einsum( 'ia, ja -> ij', _a, _b, optimize='optimal', dtype=np.int32)
+        ttc_off[i] = _ttc 
+        _s_off = np.nansum(_b,1)
+        s_off[i]  = _s_off
+
+    all_ttcs_on[j] = ttc_on.copy()
+    all_ttcs_off[j] = ttc_off.copy()
+    all_s_on[j] = s_on.copy()
+    all_s_off[j] = s_off.copy()
+    all_s_cnt[j] = s_cnt.copy()
+
+    prevImg[:] = img
+
+    for tid, img, cmsk in iterator:
+        j += 1
+        tids.append(tid)
+    
+        for i, _m in enumerate(m):
+            _msk = (_m & ~(np.any(cmsk, axis=0)) & ~(np.any(prevCmsk, axis=0))).astype(_m.dtype)
+            _a = img[:, _msk].reshape(img.shape[0], -1)
+            _ttc = np.einsum( 'ia, ja -> ij', _a, _a, optimize='optimal', dtype=np.int32)
+            _s = np.nansum(_a,1)
+            ttc_on[i]  = _ttc 
+            s_on[i]  = _s
+            s_cnt[i]  = np.nansum(_msk)
+
+
+            _b = prevImg[:, _msk].reshape(img.shape[0], -1)
+            _ttc = np.einsum( 'ia, ja -> ij', _a, _b, optimize='optimal', dtype=np.int32)
+            ttc_off[i] = _ttc 
+            _s_off = np.nansum(_b,1)
+            s_off[i]  = _s_off 
+
+        all_ttcs_on[j] = ttc_on.copy()
+        all_ttcs_off[j] = ttc_off.copy()
+        all_s_on[j] = s_on.copy()
+        all_s_off[j] = s_off.copy()
+        all_s_cnt[j] = s_cnt.copy()
+
+        #print(tid, j, flush=True)
+
+        prevImg[:] = img
+        prevCmsk[:] = cmsk
+        
+    return tids, all_ttcs_on[:j+1], all_ttcs_off[:j+1], all_s_on[:j+1], all_s_off[:j+1], all_s_cnt[:j+1]
diff --git a/fastXPCS/fastXPCS/cython/dense.c b/fastXPCS/fastXPCS/cython/dense.c
new file mode 100644
index 0000000..55af676
--- /dev/null
+++ b/fastXPCS/fastXPCS/cython/dense.c
@@ -0,0 +1,23828 @@
+/* Generated by Cython 0.29.24 */
+
+/* BEGIN: Cython Metadata
+{
+    "distutils": {
+        "include_dirs": [
+            ".",
+            "/scratch/midonc/karabo/extern/lib/python3.8/site-packages/numpy-1.21.4-py3.8-linux-x86_64.egg/numpy/core/include"
+        ],
+        "name": "dense",
+        "sources": [
+            "/home/midonc/git/fastxpcs/fastXPCS/cython/dense.pyx"
+        ]
+    },
+    "module_name": "dense"
+}
+END: Cython Metadata */
+
+#ifndef PY_SSIZE_T_CLEAN
+#define PY_SSIZE_T_CLEAN
+#endif /* PY_SSIZE_T_CLEAN */
+#include "Python.h"
+#ifndef Py_PYTHON_H
+    #error Python headers needed to compile C extensions, please install development version of Python.
+#elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
+    #error Cython requires Python 2.6+ or Python 3.3+.
+#else
+#define CYTHON_ABI "0_29_24"
+#define CYTHON_HEX_VERSION 0x001D18F0
+#define CYTHON_FUTURE_DIVISION 1
+#include <stddef.h>
+#ifndef offsetof
+  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
+#endif
+#if !defined(WIN32) && !defined(MS_WINDOWS)
+  #ifndef __stdcall
+    #define __stdcall
+  #endif
+  #ifndef __cdecl
+    #define __cdecl
+  #endif
+  #ifndef __fastcall
+    #define __fastcall
+  #endif
+#endif
+#ifndef DL_IMPORT
+  #define DL_IMPORT(t) t
+#endif
+#ifndef DL_EXPORT
+  #define DL_EXPORT(t) t
+#endif
+#define __PYX_COMMA ,
+#ifndef HAVE_LONG_LONG
+  #if PY_VERSION_HEX >= 0x02070000
+    #define HAVE_LONG_LONG
+  #endif
+#endif
+#ifndef PY_LONG_LONG
+  #define PY_LONG_LONG LONG_LONG
+#endif
+#ifndef Py_HUGE_VAL
+  #define Py_HUGE_VAL HUGE_VAL
+#endif
+#ifdef PYPY_VERSION
+  #define CYTHON_COMPILING_IN_PYPY 1
+  #define CYTHON_COMPILING_IN_PYSTON 0
+  #define CYTHON_COMPILING_IN_CPYTHON 0
+  #undef CYTHON_USE_TYPE_SLOTS
+  #define CYTHON_USE_TYPE_SLOTS 0
+  #undef CYTHON_USE_PYTYPE_LOOKUP
+  #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #if PY_VERSION_HEX < 0x03050000
+    #undef CYTHON_USE_ASYNC_SLOTS
+    #define CYTHON_USE_ASYNC_SLOTS 0
+  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
+    #define CYTHON_USE_ASYNC_SLOTS 1
+  #endif
+  #undef CYTHON_USE_PYLIST_INTERNALS
+  #define CYTHON_USE_PYLIST_INTERNALS 0
+  #undef CYTHON_USE_UNICODE_INTERNALS
+  #define CYTHON_USE_UNICODE_INTERNALS 0
+  #undef CYTHON_USE_UNICODE_WRITER
+  #define CYTHON_USE_UNICODE_WRITER 0
+  #undef CYTHON_USE_PYLONG_INTERNALS
+  #define CYTHON_USE_PYLONG_INTERNALS 0
+  #undef CYTHON_AVOID_BORROWED_REFS
+  #define CYTHON_AVOID_BORROWED_REFS 1
+  #undef CYTHON_ASSUME_SAFE_MACROS
+  #define CYTHON_ASSUME_SAFE_MACROS 0
+  #undef CYTHON_UNPACK_METHODS
+  #define CYTHON_UNPACK_METHODS 0
+  #undef CYTHON_FAST_THREAD_STATE
+  #define CYTHON_FAST_THREAD_STATE 0
+  #undef CYTHON_FAST_PYCALL
+  #define CYTHON_FAST_PYCALL 0
+  #undef CYTHON_PEP489_MULTI_PHASE_INIT
+  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
+  #undef CYTHON_USE_TP_FINALIZE
+  #define CYTHON_USE_TP_FINALIZE 0
+  #undef CYTHON_USE_DICT_VERSIONS
+  #define CYTHON_USE_DICT_VERSIONS 0
+  #undef CYTHON_USE_EXC_INFO_STACK
+  #define CYTHON_USE_EXC_INFO_STACK 0
+#elif defined(PYSTON_VERSION)
+  #define CYTHON_COMPILING_IN_PYPY 0
+  #define CYTHON_COMPILING_IN_PYSTON 1
+  #define CYTHON_COMPILING_IN_CPYTHON 0
+  #ifndef CYTHON_USE_TYPE_SLOTS
+    #define CYTHON_USE_TYPE_SLOTS 1
+  #endif
+  #undef CYTHON_USE_PYTYPE_LOOKUP
+  #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #undef CYTHON_USE_ASYNC_SLOTS
+  #define CYTHON_USE_ASYNC_SLOTS 0
+  #undef CYTHON_USE_PYLIST_INTERNALS
+  #define CYTHON_USE_PYLIST_INTERNALS 0
+  #ifndef CYTHON_USE_UNICODE_INTERNALS
+    #define CYTHON_USE_UNICODE_INTERNALS 1
+  #endif
+  #undef CYTHON_USE_UNICODE_WRITER
+  #define CYTHON_USE_UNICODE_WRITER 0
+  #undef CYTHON_USE_PYLONG_INTERNALS
+  #define CYTHON_USE_PYLONG_INTERNALS 0
+  #ifndef CYTHON_AVOID_BORROWED_REFS
+    #define CYTHON_AVOID_BORROWED_REFS 0
+  #endif
+  #ifndef CYTHON_ASSUME_SAFE_MACROS
+    #define CYTHON_ASSUME_SAFE_MACROS 1
+  #endif
+  #ifndef CYTHON_UNPACK_METHODS
+    #define CYTHON_UNPACK_METHODS 1
+  #endif
+  #undef CYTHON_FAST_THREAD_STATE
+  #define CYTHON_FAST_THREAD_STATE 0
+  #undef CYTHON_FAST_PYCALL
+  #define CYTHON_FAST_PYCALL 0
+  #undef CYTHON_PEP489_MULTI_PHASE_INIT
+  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
+  #undef CYTHON_USE_TP_FINALIZE
+  #define CYTHON_USE_TP_FINALIZE 0
+  #undef CYTHON_USE_DICT_VERSIONS
+  #define CYTHON_USE_DICT_VERSIONS 0
+  #undef CYTHON_USE_EXC_INFO_STACK
+  #define CYTHON_USE_EXC_INFO_STACK 0
+#else
+  #define CYTHON_COMPILING_IN_PYPY 0
+  #define CYTHON_COMPILING_IN_PYSTON 0
+  #define CYTHON_COMPILING_IN_CPYTHON 1
+  #ifndef CYTHON_USE_TYPE_SLOTS
+    #define CYTHON_USE_TYPE_SLOTS 1
+  #endif
+  #if PY_VERSION_HEX < 0x02070000
+    #undef CYTHON_USE_PYTYPE_LOOKUP
+    #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #elif !defined(CYTHON_USE_PYTYPE_LOOKUP)
+    #define CYTHON_USE_PYTYPE_LOOKUP 1
+  #endif
+  #if PY_MAJOR_VERSION < 3
+    #undef CYTHON_USE_ASYNC_SLOTS
+    #define CYTHON_USE_ASYNC_SLOTS 0
+  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
+    #define CYTHON_USE_ASYNC_SLOTS 1
+  #endif
+  #if PY_VERSION_HEX < 0x02070000
+    #undef CYTHON_USE_PYLONG_INTERNALS
+    #define CYTHON_USE_PYLONG_INTERNALS 0
+  #elif !defined(CYTHON_USE_PYLONG_INTERNALS)
+    #define CYTHON_USE_PYLONG_INTERNALS 1
+  #endif
+  #ifndef CYTHON_USE_PYLIST_INTERNALS
+    #define CYTHON_USE_PYLIST_INTERNALS 1
+  #endif
+  #ifndef CYTHON_USE_UNICODE_INTERNALS
+    #define CYTHON_USE_UNICODE_INTERNALS 1
+  #endif
+  #if PY_VERSION_HEX < 0x030300F0
+    #undef CYTHON_USE_UNICODE_WRITER
+    #define CYTHON_USE_UNICODE_WRITER 0
+  #elif !defined(CYTHON_USE_UNICODE_WRITER)
+    #define CYTHON_USE_UNICODE_WRITER 1
+  #endif
+  #ifndef CYTHON_AVOID_BORROWED_REFS
+    #define CYTHON_AVOID_BORROWED_REFS 0
+  #endif
+  #ifndef CYTHON_ASSUME_SAFE_MACROS
+    #define CYTHON_ASSUME_SAFE_MACROS 1
+  #endif
+  #ifndef CYTHON_UNPACK_METHODS
+    #define CYTHON_UNPACK_METHODS 1
+  #endif
+  #ifndef CYTHON_FAST_THREAD_STATE
+    #define CYTHON_FAST_THREAD_STATE 1
+  #endif
+  #ifndef CYTHON_FAST_PYCALL
+    #define CYTHON_FAST_PYCALL 1
+  #endif
+  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
+    #define CYTHON_PEP489_MULTI_PHASE_INIT (PY_VERSION_HEX >= 0x03050000)
+  #endif
+  #ifndef CYTHON_USE_TP_FINALIZE
+    #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1)
+  #endif
+  #ifndef CYTHON_USE_DICT_VERSIONS
+    #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1)
+  #endif
+  #ifndef CYTHON_USE_EXC_INFO_STACK
+    #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3)
+  #endif
+#endif
+#if !defined(CYTHON_FAST_PYCCALL)
+#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
+#endif
+#if CYTHON_USE_PYLONG_INTERNALS
+  #include "longintrepr.h"
+  #undef SHIFT
+  #undef BASE
+  #undef MASK
+  #ifdef SIZEOF_VOID_P
+    enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
+  #endif
+#endif
+#ifndef __has_attribute
+  #define __has_attribute(x) 0
+#endif
+#ifndef __has_cpp_attribute
+  #define __has_cpp_attribute(x) 0
+#endif
+#ifndef CYTHON_RESTRICT
+  #if defined(__GNUC__)
+    #define CYTHON_RESTRICT __restrict__
+  #elif defined(_MSC_VER) && _MSC_VER >= 1400
+    #define CYTHON_RESTRICT __restrict
+  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+    #define CYTHON_RESTRICT restrict
+  #else
+    #define CYTHON_RESTRICT
+  #endif
+#endif
+#ifndef CYTHON_UNUSED
+# if defined(__GNUC__)
+#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
+#     define CYTHON_UNUSED __attribute__ ((__unused__))
+#   else
+#     define CYTHON_UNUSED
+#   endif
+# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
+#   define CYTHON_UNUSED __attribute__ ((__unused__))
+# else
+#   define CYTHON_UNUSED
+# endif
+#endif
+#ifndef CYTHON_MAYBE_UNUSED_VAR
+#  if defined(__cplusplus)
+     template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
+#  else
+#    define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x)
+#  endif
+#endif
+#ifndef CYTHON_NCP_UNUSED
+# if CYTHON_COMPILING_IN_CPYTHON
+#  define CYTHON_NCP_UNUSED
+# else
+#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
+# endif
+#endif
+#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
+#ifdef _MSC_VER
+    #ifndef _MSC_STDINT_H_
+        #if _MSC_VER < 1300
+           typedef unsigned char     uint8_t;
+           typedef unsigned int      uint32_t;
+        #else
+           typedef unsigned __int8   uint8_t;
+           typedef unsigned __int32  uint32_t;
+        #endif
+    #endif
+#else
+   #include <stdint.h>
+#endif
+#ifndef CYTHON_FALLTHROUGH
+  #if defined(__cplusplus) && __cplusplus >= 201103L
+    #if __has_cpp_attribute(fallthrough)
+      #define CYTHON_FALLTHROUGH [[fallthrough]]
+    #elif __has_cpp_attribute(clang::fallthrough)
+      #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
+    #elif __has_cpp_attribute(gnu::fallthrough)
+      #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
+    #endif
+  #endif
+  #ifndef CYTHON_FALLTHROUGH
+    #if __has_attribute(fallthrough)
+      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
+    #else
+      #define CYTHON_FALLTHROUGH
+    #endif
+  #endif
+  #if defined(__clang__ ) && defined(__apple_build_version__)
+    #if __apple_build_version__ < 7000000
+      #undef  CYTHON_FALLTHROUGH
+      #define CYTHON_FALLTHROUGH
+    #endif
+  #endif
+#endif
+
+#ifndef CYTHON_INLINE
+  #if defined(__clang__)
+    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
+  #elif defined(__GNUC__)
+    #define CYTHON_INLINE __inline__
+  #elif defined(_MSC_VER)
+    #define CYTHON_INLINE __inline
+  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+    #define CYTHON_INLINE inline
+  #else
+    #define CYTHON_INLINE
+  #endif
+#endif
+
+#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
+  #define Py_OptimizeFlag 0
+#endif
+#define __PYX_BUILD_PY_SSIZE_T "n"
+#define CYTHON_FORMAT_SSIZE_T "z"
+#if PY_MAJOR_VERSION < 3
+  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
+  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
+          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+  #define __Pyx_DefaultClassType PyClass_Type
+#else
+  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
+#if PY_VERSION_HEX >= 0x030800A4 && PY_VERSION_HEX < 0x030800B2
+  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
+          PyCode_New(a, 0, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+#else
+  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
+          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+#endif
+  #define __Pyx_DefaultClassType PyType_Type
+#endif
+#ifndef Py_TPFLAGS_CHECKTYPES
+  #define Py_TPFLAGS_CHECKTYPES 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_INDEX
+  #define Py_TPFLAGS_HAVE_INDEX 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
+  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_FINALIZE
+  #define Py_TPFLAGS_HAVE_FINALIZE 0
+#endif
+#ifndef METH_STACKLESS
+  #define METH_STACKLESS 0
+#endif
+#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
+  #ifndef METH_FASTCALL
+     #define METH_FASTCALL 0x80
+  #endif
+  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
+  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
+                                                          Py_ssize_t nargs, PyObject *kwnames);
+#else
+  #define __Pyx_PyCFunctionFast _PyCFunctionFast
+  #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
+#endif
+#if CYTHON_FAST_PYCCALL
+#define __Pyx_PyFastCFunction_Check(func)\
+    ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)))))
+#else
+#define __Pyx_PyFastCFunction_Check(func) 0
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
+  #define PyObject_Malloc(s)   PyMem_Malloc(s)
+  #define PyObject_Free(p)     PyMem_Free(p)
+  #define PyObject_Realloc(p)  PyMem_Realloc(p)
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030400A1
+  #define PyMem_RawMalloc(n)           PyMem_Malloc(n)
+  #define PyMem_RawRealloc(p, n)       PyMem_Realloc(p, n)
+  #define PyMem_RawFree(p)             PyMem_Free(p)
+#endif
+#if CYTHON_COMPILING_IN_PYSTON
+  #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
+  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
+#else
+  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
+  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
+#endif
+#if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000
+  #define __Pyx_PyThreadState_Current PyThreadState_GET()
+#elif PY_VERSION_HEX >= 0x03060000
+  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
+#elif PY_VERSION_HEX >= 0x03000000
+  #define __Pyx_PyThreadState_Current PyThreadState_GET()
+#else
+  #define __Pyx_PyThreadState_Current _PyThreadState_Current
+#endif
+#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
+#include "pythread.h"
+#define Py_tss_NEEDS_INIT 0
+typedef int Py_tss_t;
+static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
+  *key = PyThread_create_key();
+  return 0;
+}
+static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
+  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
+  *key = Py_tss_NEEDS_INIT;
+  return key;
+}
+static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
+  PyObject_Free(key);
+}
+static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
+  return *key != Py_tss_NEEDS_INIT;
+}
+static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
+  PyThread_delete_key(*key);
+  *key = Py_tss_NEEDS_INIT;
+}
+static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
+  return PyThread_set_key_value(*key, value);
+}
+static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
+  return PyThread_get_key_value(*key);
+}
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
+#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
+#else
+#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
+#endif
+#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
+  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
+  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
+#else
+  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
+  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
+#define __Pyx_PyDict_GetItemStr(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
+#else
+#define __Pyx_PyDict_GetItemStr(dict, name)  PyDict_GetItem(dict, name)
+#endif
+#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
+  #define CYTHON_PEP393_ENABLED 1
+  #if defined(PyUnicode_IS_READY)
+  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
+                                              0 : _PyUnicode_Ready((PyObject *)(op)))
+  #else
+  #define __Pyx_PyUnicode_READY(op)       (0)
+  #endif
+  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
+  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
+  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
+  #define __Pyx_PyUnicode_KIND(u)         PyUnicode_KIND(u)
+  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
+  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
+  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
+  #if defined(PyUnicode_IS_READY) && defined(PyUnicode_GET_SIZE)
+  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
+  #else
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
+  #endif
+  #else
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
+  #endif
+#else
+  #define CYTHON_PEP393_ENABLED 0
+  #define PyUnicode_1BYTE_KIND  1
+  #define PyUnicode_2BYTE_KIND  2
+  #define PyUnicode_4BYTE_KIND  4
+  #define __Pyx_PyUnicode_READY(op)       (0)
+  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
+  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
+  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
+  #define __Pyx_PyUnicode_KIND(u)         (sizeof(Py_UNICODE))
+  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
+  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
+  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
+#endif
+#if CYTHON_COMPILING_IN_PYPY
+  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
+  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
+#else
+  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
+  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
+      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains)
+  #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
+  #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
+  #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
+#endif
+#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
+#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
+#if PY_MAJOR_VERSION >= 3
+  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
+#else
+  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
+#endif
+#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
+  #define PyObject_ASCII(o)            PyObject_Repr(o)
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyBaseString_Type            PyUnicode_Type
+  #define PyStringObject               PyUnicodeObject
+  #define PyString_Type                PyUnicode_Type
+  #define PyString_Check               PyUnicode_Check
+  #define PyString_CheckExact          PyUnicode_CheckExact
+#ifndef PyObject_Unicode
+  #define PyObject_Unicode             PyObject_Str
+#endif
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
+  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
+#else
+  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
+  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
+#endif
+#ifndef PySet_CheckExact
+  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
+#endif
+#if PY_VERSION_HEX >= 0x030900A4
+  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
+  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
+#else
+  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
+  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
+#endif
+#if CYTHON_ASSUME_SAFE_MACROS
+  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
+#else
+  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyIntObject                  PyLongObject
+  #define PyInt_Type                   PyLong_Type
+  #define PyInt_Check(op)              PyLong_Check(op)
+  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
+  #define PyInt_FromString             PyLong_FromString
+  #define PyInt_FromUnicode            PyLong_FromUnicode
+  #define PyInt_FromLong               PyLong_FromLong
+  #define PyInt_FromSize_t             PyLong_FromSize_t
+  #define PyInt_FromSsize_t            PyLong_FromSsize_t
+  #define PyInt_AsLong                 PyLong_AsLong
+  #define PyInt_AS_LONG                PyLong_AS_LONG
+  #define PyInt_AsSsize_t              PyLong_AsSsize_t
+  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
+  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
+  #define PyNumber_Int                 PyNumber_Long
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyBoolObject                 PyLongObject
+#endif
+#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
+  #ifndef PyUnicode_InternFromString
+    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
+  #endif
+#endif
+#if PY_VERSION_HEX < 0x030200A4
+  typedef long Py_hash_t;
+  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
+  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
+#else
+  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
+  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
+#else
+  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
+#endif
+#if CYTHON_USE_ASYNC_SLOTS
+  #if PY_VERSION_HEX >= 0x030500B1
+    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
+    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
+  #else
+    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
+  #endif
+#else
+  #define __Pyx_PyType_AsAsync(obj) NULL
+#endif
+#ifndef __Pyx_PyAsyncMethodsStruct
+    typedef struct {
+        unaryfunc am_await;
+        unaryfunc am_aiter;
+        unaryfunc am_anext;
+    } __Pyx_PyAsyncMethodsStruct;
+#endif
+
+#if defined(WIN32) || defined(MS_WINDOWS)
+  #define _USE_MATH_DEFINES
+#endif
+#include <math.h>
+#ifdef NAN
+#define __PYX_NAN() ((float) NAN)
+#else
+static CYTHON_INLINE float __PYX_NAN() {
+  float value;
+  memset(&value, 0xFF, sizeof(value));
+  return value;
+}
+#endif
+#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
+#define __Pyx_truncl trunc
+#else
+#define __Pyx_truncl truncl
+#endif
+
+#define __PYX_MARK_ERR_POS(f_index, lineno) \
+    { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__; (void)__pyx_clineno; }
+#define __PYX_ERR(f_index, lineno, Ln_error) \
+    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }
+
+#ifndef __PYX_EXTERN_C
+  #ifdef __cplusplus
+    #define __PYX_EXTERN_C extern "C"
+  #else
+    #define __PYX_EXTERN_C extern
+  #endif
+#endif
+
+#define __PYX_HAVE__dense
+#define __PYX_HAVE_API__dense
+/* Early includes */
+#include "pythread.h"
+#include <string.h>
+#include <stdlib.h>
+#include <stdio.h>
+#include "pystate.h"
+#ifdef _OPENMP
+#include <omp.h>
+#endif /* _OPENMP */
+
+#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
+#define CYTHON_WITHOUT_ASSERTIONS
+#endif
+
+typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
+                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;
+
+#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
+#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
+#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
+#define __PYX_DEFAULT_STRING_ENCODING ""
+#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
+#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
+#define __Pyx_uchar_cast(c) ((unsigned char)c)
+#define __Pyx_long_cast(x) ((long)x)
+#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
+    (sizeof(type) < sizeof(Py_ssize_t))  ||\
+    (sizeof(type) > sizeof(Py_ssize_t) &&\
+          likely(v < (type)PY_SSIZE_T_MAX ||\
+                 v == (type)PY_SSIZE_T_MAX)  &&\
+          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
+                                v == (type)PY_SSIZE_T_MIN)))  ||\
+    (sizeof(type) == sizeof(Py_ssize_t) &&\
+          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
+                               v == (type)PY_SSIZE_T_MAX)))  )
+static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
+    return (size_t) i < (size_t) limit;
+}
+#if defined (__cplusplus) && __cplusplus >= 201103L
+    #include <cstdlib>
+    #define __Pyx_sst_abs(value) std::abs(value)
+#elif SIZEOF_INT >= SIZEOF_SIZE_T
+    #define __Pyx_sst_abs(value) abs(value)
+#elif SIZEOF_LONG >= SIZEOF_SIZE_T
+    #define __Pyx_sst_abs(value) labs(value)
+#elif defined (_MSC_VER)
+    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
+#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+    #define __Pyx_sst_abs(value) llabs(value)
+#elif defined (__GNUC__)
+    #define __Pyx_sst_abs(value) __builtin_llabs(value)
+#else
+    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
+#endif
+static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
+static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
+#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
+#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
+#define __Pyx_PyBytes_FromString        PyBytes_FromString
+#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
+static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
+#if PY_MAJOR_VERSION < 3
+    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
+    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
+#else
+    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
+    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
+#endif
+#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
+#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
+#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
+#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
+#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
+static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
+    const Py_UNICODE *u_end = u;
+    while (*u_end++) ;
+    return (size_t)(u_end - u - 1);
+}
+#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
+#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
+#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
+#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
+#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
+static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
+static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
+static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
+static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
+#define __Pyx_PySequence_Tuple(obj)\
+    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
+static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
+static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
+#if CYTHON_ASSUME_SAFE_MACROS
+#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
+#else
+#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
+#endif
+#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
+#if PY_MAJOR_VERSION >= 3
+#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
+#else
+#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
+#endif
+#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
+#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+static int __Pyx_sys_getdefaultencoding_not_ascii;
+static int __Pyx_init_sys_getdefaultencoding_params(void) {
+    PyObject* sys;
+    PyObject* default_encoding = NULL;
+    PyObject* ascii_chars_u = NULL;
+    PyObject* ascii_chars_b = NULL;
+    const char* default_encoding_c;
+    sys = PyImport_ImportModule("sys");
+    if (!sys) goto bad;
+    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
+    Py_DECREF(sys);
+    if (!default_encoding) goto bad;
+    default_encoding_c = PyBytes_AsString(default_encoding);
+    if (!default_encoding_c) goto bad;
+    if (strcmp(default_encoding_c, "ascii") == 0) {
+        __Pyx_sys_getdefaultencoding_not_ascii = 0;
+    } else {
+        char ascii_chars[128];
+        int c;
+        for (c = 0; c < 128; c++) {
+            ascii_chars[c] = c;
+        }
+        __Pyx_sys_getdefaultencoding_not_ascii = 1;
+        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
+        if (!ascii_chars_u) goto bad;
+        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
+        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
+            PyErr_Format(
+                PyExc_ValueError,
+                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
+                default_encoding_c);
+            goto bad;
+        }
+        Py_DECREF(ascii_chars_u);
+        Py_DECREF(ascii_chars_b);
+    }
+    Py_DECREF(default_encoding);
+    return 0;
+bad:
+    Py_XDECREF(default_encoding);
+    Py_XDECREF(ascii_chars_u);
+    Py_XDECREF(ascii_chars_b);
+    return -1;
+}
+#endif
+#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
+#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
+#else
+#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
+#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+static char* __PYX_DEFAULT_STRING_ENCODING;
+static int __Pyx_init_sys_getdefaultencoding_params(void) {
+    PyObject* sys;
+    PyObject* default_encoding = NULL;
+    char* default_encoding_c;
+    sys = PyImport_ImportModule("sys");
+    if (!sys) goto bad;
+    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
+    Py_DECREF(sys);
+    if (!default_encoding) goto bad;
+    default_encoding_c = PyBytes_AsString(default_encoding);
+    if (!default_encoding_c) goto bad;
+    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
+    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
+    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
+    Py_DECREF(default_encoding);
+    return 0;
+bad:
+    Py_XDECREF(default_encoding);
+    return -1;
+}
+#endif
+#endif
+
+
+/* Test for GCC > 2.95 */
+#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
+  #define likely(x)   __builtin_expect(!!(x), 1)
+  #define unlikely(x) __builtin_expect(!!(x), 0)
+#else /* !__GNUC__ or GCC < 2.95 */
+  #define likely(x)   (x)
+  #define unlikely(x) (x)
+#endif /* __GNUC__ */
+static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
+
+static PyObject *__pyx_m = NULL;
+static PyObject *__pyx_d;
+static PyObject *__pyx_b;
+static PyObject *__pyx_cython_runtime = NULL;
+static PyObject *__pyx_empty_tuple;
+static PyObject *__pyx_empty_bytes;
+static PyObject *__pyx_empty_unicode;
+static int __pyx_lineno;
+static int __pyx_clineno = 0;
+static const char * __pyx_cfilenm= __FILE__;
+static const char *__pyx_filename;
+
+/* Header.proto */
+#if !defined(CYTHON_CCOMPLEX)
+  #if defined(__cplusplus)
+    #define CYTHON_CCOMPLEX 1
+  #elif defined(_Complex_I)
+    #define CYTHON_CCOMPLEX 1
+  #else
+    #define CYTHON_CCOMPLEX 0
+  #endif
+#endif
+#if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    #include <complex>
+  #else
+    #include <complex.h>
+  #endif
+#endif
+#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
+  #undef _Complex_I
+  #define _Complex_I 1.0fj
+#endif
+
+
+static const char *__pyx_f[] = {
+  "fastXPCS/cython/dense.pyx",
+  "stringsource",
+};
+/* MemviewSliceStruct.proto */
+struct __pyx_memoryview_obj;
+typedef struct {
+  struct __pyx_memoryview_obj *memview;
+  char *data;
+  Py_ssize_t shape[8];
+  Py_ssize_t strides[8];
+  Py_ssize_t suboffsets[8];
+} __Pyx_memviewslice;
+#define __Pyx_MemoryView_Len(m)  (m.shape[0])
+
+/* Atomics.proto */
+#include <pythread.h>
+#ifndef CYTHON_ATOMICS
+    #define CYTHON_ATOMICS 1
+#endif
+#define __pyx_atomic_int_type int
+#if CYTHON_ATOMICS && __GNUC__ >= 4 && (__GNUC_MINOR__ > 1 ||\
+                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL >= 2)) &&\
+                    !defined(__i386__)
+    #define __pyx_atomic_incr_aligned(value, lock) __sync_fetch_and_add(value, 1)
+    #define __pyx_atomic_decr_aligned(value, lock) __sync_fetch_and_sub(value, 1)
+    #ifdef __PYX_DEBUG_ATOMICS
+        #warning "Using GNU atomics"
+    #endif
+#elif CYTHON_ATOMICS && defined(_MSC_VER) && 0
+    #include <Windows.h>
+    #undef __pyx_atomic_int_type
+    #define __pyx_atomic_int_type LONG
+    #define __pyx_atomic_incr_aligned(value, lock) InterlockedIncrement(value)
+    #define __pyx_atomic_decr_aligned(value, lock) InterlockedDecrement(value)
+    #ifdef __PYX_DEBUG_ATOMICS
+        #pragma message ("Using MSVC atomics")
+    #endif
+#elif CYTHON_ATOMICS && (defined(__ICC) || defined(__INTEL_COMPILER)) && 0
+    #define __pyx_atomic_incr_aligned(value, lock) _InterlockedIncrement(value)
+    #define __pyx_atomic_decr_aligned(value, lock) _InterlockedDecrement(value)
+    #ifdef __PYX_DEBUG_ATOMICS
+        #warning "Using Intel atomics"
+    #endif
+#else
+    #undef CYTHON_ATOMICS
+    #define CYTHON_ATOMICS 0
+    #ifdef __PYX_DEBUG_ATOMICS
+        #warning "Not using atomics"
+    #endif
+#endif
+typedef volatile __pyx_atomic_int_type __pyx_atomic_int;
+#if CYTHON_ATOMICS
+    #define __pyx_add_acquisition_count(memview)\
+             __pyx_atomic_incr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
+    #define __pyx_sub_acquisition_count(memview)\
+            __pyx_atomic_decr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
+#else
+    #define __pyx_add_acquisition_count(memview)\
+            __pyx_add_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
+    #define __pyx_sub_acquisition_count(memview)\
+            __pyx_sub_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
+#endif
+
+/* ForceInitThreads.proto */
+#ifndef __PYX_FORCE_INIT_THREADS
+  #define __PYX_FORCE_INIT_THREADS 0
+#endif
+
+/* NoFastGil.proto */
+#define __Pyx_PyGILState_Ensure PyGILState_Ensure
+#define __Pyx_PyGILState_Release PyGILState_Release
+#define __Pyx_FastGIL_Remember()
+#define __Pyx_FastGIL_Forget()
+#define __Pyx_FastGilFuncInit()
+
+/* BufferFormatStructs.proto */
+#define IS_UNSIGNED(type) (((type) -1) > 0)
+struct __Pyx_StructField_;
+#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
+typedef struct {
+  const char* name;
+  struct __Pyx_StructField_* fields;
+  size_t size;
+  size_t arraysize[8];
+  int ndim;
+  char typegroup;
+  char is_unsigned;
+  int flags;
+} __Pyx_TypeInfo;
+typedef struct __Pyx_StructField_ {
+  __Pyx_TypeInfo* type;
+  const char* name;
+  size_t offset;
+} __Pyx_StructField;
+typedef struct {
+  __Pyx_StructField* field;
+  size_t parent_offset;
+} __Pyx_BufFmt_StackElem;
+typedef struct {
+  __Pyx_StructField root;
+  __Pyx_BufFmt_StackElem* head;
+  size_t fmt_offset;
+  size_t new_count, enc_count;
+  size_t struct_alignment;
+  int is_complex;
+  char enc_type;
+  char new_packmode;
+  char enc_packmode;
+  char is_valid_array;
+} __Pyx_BufFmt_Context;
+
+
+/* "scipy/linalg/cython_blas.pxd":15
+ * # The original libraries should be linked directly.
+ * 
+ * ctypedef float s             # <<<<<<<<<<<<<<
+ * ctypedef double d
+ * ctypedef float complex c
+ */
+typedef float __pyx_t_5scipy_6linalg_11cython_blas_s;
+
+/* "scipy/linalg/cython_blas.pxd":16
+ * 
+ * ctypedef float s
+ * ctypedef double d             # <<<<<<<<<<<<<<
+ * ctypedef float complex c
+ * ctypedef double complex z
+ */
+typedef double __pyx_t_5scipy_6linalg_11cython_blas_d;
+/* Declarations.proto */
+#if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    typedef ::std::complex< float > __pyx_t_float_complex;
+  #else
+    typedef float _Complex __pyx_t_float_complex;
+  #endif
+#else
+    typedef struct { float real, imag; } __pyx_t_float_complex;
+#endif
+static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);
+
+/* Declarations.proto */
+#if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    typedef ::std::complex< double > __pyx_t_double_complex;
+  #else
+    typedef double _Complex __pyx_t_double_complex;
+  #endif
+#else
+    typedef struct { double real, imag; } __pyx_t_double_complex;
+#endif
+static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);
+
+
+/*--- Type declarations ---*/
+struct __pyx_array_obj;
+struct __pyx_MemviewEnum_obj;
+struct __pyx_memoryview_obj;
+struct __pyx_memoryviewslice_obj;
+
+/* "View.MemoryView":105
+ * 
+ * @cname("__pyx_array")
+ * cdef class array:             # <<<<<<<<<<<<<<
+ * 
+ *     cdef:
+ */
+struct __pyx_array_obj {
+  PyObject_HEAD
+  struct __pyx_vtabstruct_array *__pyx_vtab;
+  char *data;
+  Py_ssize_t len;
+  char *format;
+  int ndim;
+  Py_ssize_t *_shape;
+  Py_ssize_t *_strides;
+  Py_ssize_t itemsize;
+  PyObject *mode;
+  PyObject *_format;
+  void (*callback_free_data)(void *);
+  int free_data;
+  int dtype_is_object;
+};
+
+
+/* "View.MemoryView":279
+ * 
+ * @cname('__pyx_MemviewEnum')
+ * cdef class Enum(object):             # <<<<<<<<<<<<<<
+ *     cdef object name
+ *     def __init__(self, name):
+ */
+struct __pyx_MemviewEnum_obj {
+  PyObject_HEAD
+  PyObject *name;
+};
+
+
+/* "View.MemoryView":330
+ * 
+ * @cname('__pyx_memoryview')
+ * cdef class memoryview(object):             # <<<<<<<<<<<<<<
+ * 
+ *     cdef object obj
+ */
+struct __pyx_memoryview_obj {
+  PyObject_HEAD
+  struct __pyx_vtabstruct_memoryview *__pyx_vtab;
+  PyObject *obj;
+  PyObject *_size;
+  PyObject *_array_interface;
+  PyThread_type_lock lock;
+  __pyx_atomic_int acquisition_count[2];
+  __pyx_atomic_int *acquisition_count_aligned_p;
+  Py_buffer view;
+  int flags;
+  int dtype_is_object;
+  __Pyx_TypeInfo *typeinfo;
+};
+
+
+/* "View.MemoryView":965
+ * 
+ * @cname('__pyx_memoryviewslice')
+ * cdef class _memoryviewslice(memoryview):             # <<<<<<<<<<<<<<
+ *     "Internal class for passing memoryview slices to Python"
+ * 
+ */
+struct __pyx_memoryviewslice_obj {
+  struct __pyx_memoryview_obj __pyx_base;
+  __Pyx_memviewslice from_slice;
+  PyObject *from_object;
+  PyObject *(*to_object_func)(char *);
+  int (*to_dtype_func)(char *, PyObject *);
+};
+
+
+
+/* "View.MemoryView":105
+ * 
+ * @cname("__pyx_array")
+ * cdef class array:             # <<<<<<<<<<<<<<
+ * 
+ *     cdef:
+ */
+
+struct __pyx_vtabstruct_array {
+  PyObject *(*get_memview)(struct __pyx_array_obj *);
+};
+static struct __pyx_vtabstruct_array *__pyx_vtabptr_array;
+
+
+/* "View.MemoryView":330
+ * 
+ * @cname('__pyx_memoryview')
+ * cdef class memoryview(object):             # <<<<<<<<<<<<<<
+ * 
+ *     cdef object obj
+ */
+
+struct __pyx_vtabstruct_memoryview {
+  char *(*get_item_pointer)(struct __pyx_memoryview_obj *, PyObject *);
+  PyObject *(*is_slice)(struct __pyx_memoryview_obj *, PyObject *);
+  PyObject *(*setitem_slice_assignment)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);
+  PyObject *(*setitem_slice_assign_scalar)(struct __pyx_memoryview_obj *, struct __pyx_memoryview_obj *, PyObject *);
+  PyObject *(*setitem_indexed)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);
+  PyObject *(*convert_item_to_object)(struct __pyx_memoryview_obj *, char *);
+  PyObject *(*assign_item_from_object)(struct __pyx_memoryview_obj *, char *, PyObject *);
+};
+static struct __pyx_vtabstruct_memoryview *__pyx_vtabptr_memoryview;
+
+
+/* "View.MemoryView":965
+ * 
+ * @cname('__pyx_memoryviewslice')
+ * cdef class _memoryviewslice(memoryview):             # <<<<<<<<<<<<<<
+ *     "Internal class for passing memoryview slices to Python"
+ * 
+ */
+
+struct __pyx_vtabstruct__memoryviewslice {
+  struct __pyx_vtabstruct_memoryview __pyx_base;
+};
+static struct __pyx_vtabstruct__memoryviewslice *__pyx_vtabptr__memoryviewslice;
+
+/* --- Runtime support code (head) --- */
+/* Refnanny.proto */
+#ifndef CYTHON_REFNANNY
+  #define CYTHON_REFNANNY 0
+#endif
+#if CYTHON_REFNANNY
+  typedef struct {
+    void (*INCREF)(void*, PyObject*, int);
+    void (*DECREF)(void*, PyObject*, int);
+    void (*GOTREF)(void*, PyObject*, int);
+    void (*GIVEREF)(void*, PyObject*, int);
+    void* (*SetupContext)(const char*, int, const char*);
+    void (*FinishContext)(void**);
+  } __Pyx_RefNannyAPIStruct;
+  static __Pyx_RefNannyAPIStruct *__Pyx_RefNanny = NULL;
+  static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname);
+  #define __Pyx_RefNannyDeclarations void *__pyx_refnanny = NULL;
+#ifdef WITH_THREAD
+  #define __Pyx_RefNannySetupContext(name, acquire_gil)\
+          if (acquire_gil) {\
+              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();\
+              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__);\
+              PyGILState_Release(__pyx_gilstate_save);\
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+              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__);\
+          }
+#else
+  #define __Pyx_RefNannySetupContext(name, acquire_gil)\
+          __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__)
+#endif
+  #define __Pyx_RefNannyFinishContext()\
+          __Pyx_RefNanny->FinishContext(&__pyx_refnanny)
+  #define __Pyx_INCREF(r)  __Pyx_RefNanny->INCREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
+  #define __Pyx_DECREF(r)  __Pyx_RefNanny->DECREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
+  #define __Pyx_GOTREF(r)  __Pyx_RefNanny->GOTREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
+  #define __Pyx_GIVEREF(r) __Pyx_RefNanny->GIVEREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
+  #define __Pyx_XINCREF(r)  do { if((r) != NULL) {__Pyx_INCREF(r); }} while(0)
+  #define __Pyx_XDECREF(r)  do { if((r) != NULL) {__Pyx_DECREF(r); }} while(0)
+  #define __Pyx_XGOTREF(r)  do { if((r) != NULL) {__Pyx_GOTREF(r); }} while(0)
+  #define __Pyx_XGIVEREF(r) do { if((r) != NULL) {__Pyx_GIVEREF(r);}} while(0)
+#else
+  #define __Pyx_RefNannyDeclarations
+  #define __Pyx_RefNannySetupContext(name, acquire_gil)
+  #define __Pyx_RefNannyFinishContext()
+  #define __Pyx_INCREF(r) Py_INCREF(r)
+  #define __Pyx_DECREF(r) Py_DECREF(r)
+  #define __Pyx_GOTREF(r)
+  #define __Pyx_GIVEREF(r)
+  #define __Pyx_XINCREF(r) Py_XINCREF(r)
+  #define __Pyx_XDECREF(r) Py_XDECREF(r)
+  #define __Pyx_XGOTREF(r)
+  #define __Pyx_XGIVEREF(r)
+#endif
+#define __Pyx_XDECREF_SET(r, v) do {\
+        PyObject *tmp = (PyObject *) r;\
+        r = v; __Pyx_XDECREF(tmp);\
+    } while (0)
+#define __Pyx_DECREF_SET(r, v) do {\
+        PyObject *tmp = (PyObject *) r;\
+        r = v; __Pyx_DECREF(tmp);\
+    } while (0)
+#define __Pyx_CLEAR(r)    do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
+#define __Pyx_XCLEAR(r)   do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0)
+
+/* PyObjectGetAttrStr.proto */
+#if CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
+#else
+#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
+#endif
+
+/* GetBuiltinName.proto */
+static PyObject *__Pyx_GetBuiltinName(PyObject *name);
+
+/* PyDictVersioning.proto */
+#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
+#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
+#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
+#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
+    (version_var) = __PYX_GET_DICT_VERSION(dict);\
+    (cache_var) = (value);
+#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
+    static PY_UINT64_T __pyx_dict_version = 0;\
+    static PyObject *__pyx_dict_cached_value = NULL;\
+    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
+        (VAR) = __pyx_dict_cached_value;\
+    } else {\
+        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
+        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
+    }\
+}
+static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
+static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
+static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
+#else
+#define __PYX_GET_DICT_VERSION(dict)  (0)
+#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
+#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
+#endif
+
+/* GetModuleGlobalName.proto */
+#if CYTHON_USE_DICT_VERSIONS
+#define __Pyx_GetModuleGlobalName(var, name)  {\
+    static PY_UINT64_T __pyx_dict_version = 0;\
+    static PyObject *__pyx_dict_cached_value = NULL;\
+    (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_d))) ?\
+        (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\
+        __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
+}
+#define __Pyx_GetModuleGlobalNameUncached(var, name)  {\
+    PY_UINT64_T __pyx_dict_version;\
+    PyObject *__pyx_dict_cached_value;\
+    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
+}
+static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
+#else
+#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
+#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
+static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
+#endif
+
+/* PyObjectCall.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
+#else
+#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
+#endif
+
+/* PyCFunctionFastCall.proto */
+#if CYTHON_FAST_PYCCALL
+static CYTHON_INLINE PyObject *__Pyx_PyCFunction_FastCall(PyObject *func, PyObject **args, Py_ssize_t nargs);
+#else
+#define __Pyx_PyCFunction_FastCall(func, args, nargs)  (assert(0), NULL)
+#endif
+
+/* PyFunctionFastCall.proto */
+#if CYTHON_FAST_PYCALL
+#define __Pyx_PyFunction_FastCall(func, args, nargs)\
+    __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL)
+#if 1 || PY_VERSION_HEX < 0x030600B1
+static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
+#else
+#define __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs) _PyFunction_FastCallDict(func, args, nargs, kwargs)
+#endif
+#define __Pyx_BUILD_ASSERT_EXPR(cond)\
+    (sizeof(char [1 - 2*!(cond)]) - 1)
+#ifndef Py_MEMBER_SIZE
+#define Py_MEMBER_SIZE(type, member) sizeof(((type *)0)->member)
+#endif
+  static size_t __pyx_pyframe_localsplus_offset = 0;
+  #include "frameobject.h"
+  #define __Pxy_PyFrame_Initialize_Offsets()\
+    ((void)__Pyx_BUILD_ASSERT_EXPR(sizeof(PyFrameObject) == offsetof(PyFrameObject, f_localsplus) + Py_MEMBER_SIZE(PyFrameObject, f_localsplus)),\
+     (void)(__pyx_pyframe_localsplus_offset = ((size_t)PyFrame_Type.tp_basicsize) - Py_MEMBER_SIZE(PyFrameObject, f_localsplus)))
+  #define __Pyx_PyFrame_GetLocalsplus(frame)\
+    (assert(__pyx_pyframe_localsplus_offset), (PyObject **)(((char *)(frame)) + __pyx_pyframe_localsplus_offset))
+#endif
+
+/* PyObjectCall2Args.proto */
+static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);
+
+/* PyObjectCallMethO.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
+#endif
+
+/* PyObjectCallOneArg.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);
+
+/* PyObjectCallNoArg.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
+#else
+#define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL)
+#endif
+
+/* MemviewSliceInit.proto */
+#define __Pyx_BUF_MAX_NDIMS %(BUF_MAX_NDIMS)d
+#define __Pyx_MEMVIEW_DIRECT   1
+#define __Pyx_MEMVIEW_PTR      2
+#define __Pyx_MEMVIEW_FULL     4
+#define __Pyx_MEMVIEW_CONTIG   8
+#define __Pyx_MEMVIEW_STRIDED  16
+#define __Pyx_MEMVIEW_FOLLOW   32
+#define __Pyx_IS_C_CONTIG 1
+#define __Pyx_IS_F_CONTIG 2
+static int __Pyx_init_memviewslice(
+                struct __pyx_memoryview_obj *memview,
+                int ndim,
+                __Pyx_memviewslice *memviewslice,
+                int memview_is_new_reference);
+static CYTHON_INLINE int __pyx_add_acquisition_count_locked(
+    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);
+static CYTHON_INLINE int __pyx_sub_acquisition_count_locked(
+    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);
+#define __pyx_get_slice_count_pointer(memview) (memview->acquisition_count_aligned_p)
+#define __pyx_get_slice_count(memview) (*__pyx_get_slice_count_pointer(memview))
+#define __PYX_INC_MEMVIEW(slice, have_gil) __Pyx_INC_MEMVIEW(slice, have_gil, __LINE__)
+#define __PYX_XDEC_MEMVIEW(slice, have_gil) __Pyx_XDEC_MEMVIEW(slice, have_gil, __LINE__)
+static CYTHON_INLINE void __Pyx_INC_MEMVIEW(__Pyx_memviewslice *, int, int);
+static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *, int, int);
+
+/* RaiseArgTupleInvalid.proto */
+static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
+    Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found);
+
+/* RaiseDoubleKeywords.proto */
+static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);
+
+/* ParseKeywords.proto */
+static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
+    PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,\
+    const char* function_name);
+
+/* None.proto */
+static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);
+
+/* ArgTypeTest.proto */
+#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
+    ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\
+        __Pyx__ArgTypeTest(obj, type, name, exact))
+static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);
+
+/* PyThreadStateGet.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
+#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
+#define __Pyx_PyErr_Occurred()  __pyx_tstate->curexc_type
+#else
+#define __Pyx_PyThreadState_declare
+#define __Pyx_PyThreadState_assign
+#define __Pyx_PyErr_Occurred()  PyErr_Occurred()
+#endif
+
+/* PyErrFetchRestore.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
+#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
+#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
+#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
+#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
+static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#if CYTHON_COMPILING_IN_CPYTHON
+#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
+#else
+#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
+#endif
+#else
+#define __Pyx_PyErr_Clear() PyErr_Clear()
+#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
+#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
+#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
+#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
+#endif
+
+/* RaiseException.proto */
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
+
+/* IncludeStringH.proto */
+#include <string.h>
+
+/* BytesEquals.proto */
+static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);
+
+/* UnicodeEquals.proto */
+static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);
+
+/* StrEquals.proto */
+#if PY_MAJOR_VERSION >= 3
+#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
+#else
+#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
+#endif
+
+/* None.proto */
+static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t, Py_ssize_t);
+
+/* UnaryNegOverflows.proto */
+#define UNARY_NEG_WOULD_OVERFLOW(x)\
+        (((x) < 0) & ((unsigned long)(x) == 0-(unsigned long)(x)))
+
+static CYTHON_UNUSED int __pyx_array_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
+static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *); /*proto*/
+/* GetAttr.proto */
+static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);
+
+/* GetItemInt.proto */
+#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
+    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
+    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\
+    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\
+               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
+#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
+    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
+    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
+    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
+                                                              int wraparound, int boundscheck);
+#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
+    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
+    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
+    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
+                                                              int wraparound, int boundscheck);
+static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
+                                                     int is_list, int wraparound, int boundscheck);
+
+/* ObjectGetItem.proto */
+#if CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key);
+#else
+#define __Pyx_PyObject_GetItem(obj, key)  PyObject_GetItem(obj, key)
+#endif
+
+/* decode_c_string_utf16.proto */
+static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16(const char *s, Py_ssize_t size, const char *errors) {
+    int byteorder = 0;
+    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
+}
+static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16LE(const char *s, Py_ssize_t size, const char *errors) {
+    int byteorder = -1;
+    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
+}
+static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16BE(const char *s, Py_ssize_t size, const char *errors) {
+    int byteorder = 1;
+    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
+}
+
+/* decode_c_string.proto */
+static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
+         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
+         const char* encoding, const char* errors,
+         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));
+
+/* PyErrExceptionMatches.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
+static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
+#else
+#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
+#endif
+
+/* GetAttr3.proto */
+static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);
+
+/* RaiseTooManyValuesToUnpack.proto */
+static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);
+
+/* RaiseNeedMoreValuesToUnpack.proto */
+static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);
+
+/* RaiseNoneIterError.proto */
+static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);
+
+/* ExtTypeTest.proto */
+static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);
+
+/* GetTopmostException.proto */
+#if CYTHON_USE_EXC_INFO_STACK
+static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
+#endif
+
+/* SaveResetException.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
+#else
+#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
+#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
+#endif
+
+/* GetException.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
+static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#else
+static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
+#endif
+
+/* SwapException.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#else
+static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
+#endif
+
+/* Import.proto */
+static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);
+
+/* FastTypeChecks.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
+static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
+#else
+#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
+#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
+#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
+#endif
+#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
+
+static CYTHON_UNUSED int __pyx_memoryview_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
+/* ListCompAppend.proto */
+#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
+static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
+    PyListObject* L = (PyListObject*) list;
+    Py_ssize_t len = Py_SIZE(list);
+    if (likely(L->allocated > len)) {
+        Py_INCREF(x);
+        PyList_SET_ITEM(list, len, x);
+        __Pyx_SET_SIZE(list, len + 1);
+        return 0;
+    }
+    return PyList_Append(list, x);
+}
+#else
+#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
+#endif
+
+/* PyIntBinop.proto */
+#if !CYTHON_COMPILING_IN_PYPY
+static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
+#else
+#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace, zerodivision_check)\
+    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
+#endif
+
+/* ListExtend.proto */
+static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v) {
+#if CYTHON_COMPILING_IN_CPYTHON
+    PyObject* none = _PyList_Extend((PyListObject*)L, v);
+    if (unlikely(!none))
+        return -1;
+    Py_DECREF(none);
+    return 0;
+#else
+    return PyList_SetSlice(L, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, v);
+#endif
+}
+
+/* ListAppend.proto */
+#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
+static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
+    PyListObject* L = (PyListObject*) list;
+    Py_ssize_t len = Py_SIZE(list);
+    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
+        Py_INCREF(x);
+        PyList_SET_ITEM(list, len, x);
+        __Pyx_SET_SIZE(list, len + 1);
+        return 0;
+    }
+    return PyList_Append(list, x);
+}
+#else
+#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
+#endif
+
+/* None.proto */
+static CYTHON_INLINE long __Pyx_div_long(long, long);
+
+/* ImportFrom.proto */
+static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);
+
+/* HasAttr.proto */
+static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);
+
+/* PyObject_GenericGetAttrNoDict.proto */
+#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
+#else
+#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
+#endif
+
+/* PyObject_GenericGetAttr.proto */
+#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
+static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
+#else
+#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
+#endif
+
+/* SetVTable.proto */
+static int __Pyx_SetVtable(PyObject *dict, void *vtable);
+
+/* PyObjectGetAttrStrNoError.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);
+
+/* SetupReduce.proto */
+static int __Pyx_setup_reduce(PyObject* type_obj);
+
+/* CLineInTraceback.proto */
+#ifdef CYTHON_CLINE_IN_TRACEBACK
+#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
+#else
+static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
+#endif
+
+/* CodeObjectCache.proto */
+typedef struct {
+    PyCodeObject* code_object;
+    int code_line;
+} __Pyx_CodeObjectCacheEntry;
+struct __Pyx_CodeObjectCache {
+    int count;
+    int max_count;
+    __Pyx_CodeObjectCacheEntry* entries;
+};
+static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
+static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
+static PyCodeObject *__pyx_find_code_object(int code_line);
+static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);
+
+/* AddTraceback.proto */
+static void __Pyx_AddTraceback(const char *funcname, int c_line,
+                               int py_line, const char *filename);
+
+#if PY_MAJOR_VERSION < 3
+    static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
+    static void __Pyx_ReleaseBuffer(Py_buffer *view);
+#else
+    #define __Pyx_GetBuffer PyObject_GetBuffer
+    #define __Pyx_ReleaseBuffer PyBuffer_Release
+#endif
+
+
+/* BufferStructDeclare.proto */
+typedef struct {
+  Py_ssize_t shape, strides, suboffsets;
+} __Pyx_Buf_DimInfo;
+typedef struct {
+  size_t refcount;
+  Py_buffer pybuffer;
+} __Pyx_Buffer;
+typedef struct {
+  __Pyx_Buffer *rcbuffer;
+  char *data;
+  __Pyx_Buf_DimInfo diminfo[8];
+} __Pyx_LocalBuf_ND;
+
+/* MemviewSliceIsContig.proto */
+static int __pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim);
+
+/* OverlappingSlices.proto */
+static int __pyx_slices_overlap(__Pyx_memviewslice *slice1,
+                                __Pyx_memviewslice *slice2,
+                                int ndim, size_t itemsize);
+
+/* Capsule.proto */
+static CYTHON_INLINE PyObject *__pyx_capsule_create(void *p, const char *sig);
+
+/* IsLittleEndian.proto */
+static CYTHON_INLINE int __Pyx_Is_Little_Endian(void);
+
+/* BufferFormatCheck.proto */
+static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts);
+static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
+                              __Pyx_BufFmt_StackElem* stack,
+                              __Pyx_TypeInfo* type);
+
+/* TypeInfoCompare.proto */
+static int __pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b);
+
+/* MemviewSliceValidateAndInit.proto */
+static int __Pyx_ValidateAndInit_memviewslice(
+                int *axes_specs,
+                int c_or_f_flag,
+                int buf_flags,
+                int ndim,
+                __Pyx_TypeInfo *dtype,
+                __Pyx_BufFmt_StackElem stack[],
+                __Pyx_memviewslice *memviewslice,
+                PyObject *original_obj);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_float(PyObject *, int writable_flag);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_char(PyObject *, int writable_flag);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_int(PyObject *, int writable_flag);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_float(PyObject *, int writable_flag);
+
+/* GCCDiagnostics.proto */
+#if defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
+#define __Pyx_HAS_GCC_DIAGNOSTIC
+#endif
+
+/* MemviewDtypeToObject.proto */
+static CYTHON_INLINE PyObject *__pyx_memview_get_float(const char *itemp);
+static CYTHON_INLINE int __pyx_memview_set_float(const char *itemp, PyObject *obj);
+
+/* MemviewDtypeToObject.proto */
+static CYTHON_INLINE PyObject *__pyx_memview_get_char(const char *itemp);
+static CYTHON_INLINE int __pyx_memview_set_char(const char *itemp, PyObject *obj);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_int(PyObject *, int writable_flag);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_char(PyObject *, int writable_flag);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_int(PyObject *, int writable_flag);
+
+/* MemviewDtypeToObject.proto */
+static CYTHON_INLINE PyObject *__pyx_memview_get_int(const char *itemp);
+static CYTHON_INLINE int __pyx_memview_set_int(const char *itemp, PyObject *obj);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_d_dc_float(PyObject *, int writable_flag);
+
+/* RealImag.proto */
+#if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    #define __Pyx_CREAL(z) ((z).real())
+    #define __Pyx_CIMAG(z) ((z).imag())
+  #else
+    #define __Pyx_CREAL(z) (__real__(z))
+    #define __Pyx_CIMAG(z) (__imag__(z))
+  #endif
+#else
+    #define __Pyx_CREAL(z) ((z).real)
+    #define __Pyx_CIMAG(z) ((z).imag)
+#endif
+#if defined(__cplusplus) && CYTHON_CCOMPLEX\
+        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
+    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
+    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
+#else
+    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
+    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
+#endif
+
+/* Arithmetic.proto */
+#if CYTHON_CCOMPLEX
+    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
+    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
+    #define __Pyx_c_diff_float(a, b) ((a)-(b))
+    #define __Pyx_c_prod_float(a, b) ((a)*(b))
+    #define __Pyx_c_quot_float(a, b) ((a)/(b))
+    #define __Pyx_c_neg_float(a)     (-(a))
+  #ifdef __cplusplus
+    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
+    #define __Pyx_c_conj_float(z)    (::std::conj(z))
+    #if 1
+        #define __Pyx_c_abs_float(z)     (::std::abs(z))
+        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
+    #endif
+  #else
+    #define __Pyx_c_is_zero_float(z) ((z)==0)
+    #define __Pyx_c_conj_float(z)    (conjf(z))
+    #if 1
+        #define __Pyx_c_abs_float(z)     (cabsf(z))
+        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
+    #endif
+ #endif
+#else
+    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
+    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
+    #if 1
+        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
+        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    #endif
+#endif
+
+/* Arithmetic.proto */
+#if CYTHON_CCOMPLEX
+    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
+    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
+    #define __Pyx_c_diff_double(a, b) ((a)-(b))
+    #define __Pyx_c_prod_double(a, b) ((a)*(b))
+    #define __Pyx_c_quot_double(a, b) ((a)/(b))
+    #define __Pyx_c_neg_double(a)     (-(a))
+  #ifdef __cplusplus
+    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
+    #define __Pyx_c_conj_double(z)    (::std::conj(z))
+    #if 1
+        #define __Pyx_c_abs_double(z)     (::std::abs(z))
+        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
+    #endif
+  #else
+    #define __Pyx_c_is_zero_double(z) ((z)==0)
+    #define __Pyx_c_conj_double(z)    (conj(z))
+    #if 1
+        #define __Pyx_c_abs_double(z)     (cabs(z))
+        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
+    #endif
+ #endif
+#else
+    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
+    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
+    #if 1
+        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
+        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    #endif
+#endif
+
+/* MemviewSliceCopyTemplate.proto */
+static __Pyx_memviewslice
+__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
+                                 const char *mode, int ndim,
+                                 size_t sizeof_dtype, int contig_flag,
+                                 int dtype_is_object);
+
+/* CIntToPy.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);
+
+/* CIntToPy.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_char(char value);
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *);
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);
+
+/* CIntToPy.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);
+
+/* CheckBinaryVersion.proto */
+static int __Pyx_check_binary_version(void);
+
+/* FunctionImport.proto */
+static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig);
+
+/* InitStrings.proto */
+static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
+
+static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *__pyx_v_self); /* proto*/
+static char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto*/
+static PyObject *__pyx_memoryview_is_slice(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj); /* proto*/
+static PyObject *__pyx_memoryview_setitem_slice_assignment(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_dst, PyObject *__pyx_v_src); /* proto*/
+static PyObject *__pyx_memoryview_setitem_slice_assign_scalar(struct __pyx_memoryview_obj *__pyx_v_self, struct __pyx_memoryview_obj *__pyx_v_dst, PyObject *__pyx_v_value); /* proto*/
+static PyObject *__pyx_memoryview_setitem_indexed(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto*/
+static PyObject *__pyx_memoryview_convert_item_to_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
+static PyObject *__pyx_memoryview_assign_item_from_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
+static PyObject *__pyx_memoryviewslice_convert_item_to_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
+static PyObject *__pyx_memoryviewslice_assign_item_from_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
+
+/* Module declarations from 'cython.view' */
+
+/* Module declarations from 'cython' */
+
+/* Module declarations from 'scipy.linalg.cython_blas' */
+static void (*__pyx_f_5scipy_6linalg_11cython_blas_ssyr)(char *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
+static void (*__pyx_f_5scipy_6linalg_11cython_blas_ssyr2)(char *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
+
+/* Module declarations from 'dense' */
+static PyTypeObject *__pyx_array_type = 0;
+static PyTypeObject *__pyx_MemviewEnum_type = 0;
+static PyTypeObject *__pyx_memoryview_type = 0;
+static PyTypeObject *__pyx_memoryviewslice_type = 0;
+static PyObject *generic = 0;
+static PyObject *strided = 0;
+static PyObject *indirect = 0;
+static PyObject *contiguous = 0;
+static PyObject *indirect_contiguous = 0;
+static int __pyx_memoryview_thread_locks_used;
+static PyThread_type_lock __pyx_memoryview_thread_locks[8];
+static PyObject *__pyx_f_5dense_ttcDense(__Pyx_memviewslice, __Pyx_memviewslice, __Pyx_memviewslice, int __pyx_skip_dispatch); /*proto*/
+static PyObject *__pyx_f_5dense__ttc_upd(int, int *, int *, int *, int *, int, int); /*proto*/
+static PyObject *__pyx_f_5dense_ttcDense_int(__Pyx_memviewslice, __Pyx_memviewslice, __Pyx_memviewslice, int __pyx_skip_dispatch); /*proto*/
+static PyObject *__pyx_f_5dense_ttcDenseSymmNorm(__Pyx_memviewslice, __Pyx_memviewslice, int __pyx_skip_dispatch); /*proto*/
+static struct __pyx_array_obj *__pyx_array_new(PyObject *, Py_ssize_t, char *, char *, char *); /*proto*/
+static void *__pyx_align_pointer(void *, size_t); /*proto*/
+static PyObject *__pyx_memoryview_new(PyObject *, int, int, __Pyx_TypeInfo *); /*proto*/
+static CYTHON_INLINE int __pyx_memoryview_check(PyObject *); /*proto*/
+static PyObject *_unellipsify(PyObject *, int); /*proto*/
+static PyObject *assert_direct_dimensions(Py_ssize_t *, int); /*proto*/
+static struct __pyx_memoryview_obj *__pyx_memview_slice(struct __pyx_memoryview_obj *, PyObject *); /*proto*/
+static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int, int); /*proto*/
+static char *__pyx_pybuffer_index(Py_buffer *, char *, Py_ssize_t, Py_ssize_t); /*proto*/
+static int __pyx_memslice_transpose(__Pyx_memviewslice *); /*proto*/
+static PyObject *__pyx_memoryview_fromslice(__Pyx_memviewslice, int, PyObject *(*)(char *), int (*)(char *, PyObject *), int); /*proto*/
+static __Pyx_memviewslice *__pyx_memoryview_get_slice_from_memoryview(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
+static void __pyx_memoryview_slice_copy(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
+static PyObject *__pyx_memoryview_copy_object(struct __pyx_memoryview_obj *); /*proto*/
+static PyObject *__pyx_memoryview_copy_object_from_slice(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
+static Py_ssize_t abs_py_ssize_t(Py_ssize_t); /*proto*/
+static char __pyx_get_best_slice_order(__Pyx_memviewslice *, int); /*proto*/
+static void _copy_strided_to_strided(char *, Py_ssize_t *, char *, Py_ssize_t *, Py_ssize_t *, Py_ssize_t *, int, size_t); /*proto*/
+static void copy_strided_to_strided(__Pyx_memviewslice *, __Pyx_memviewslice *, int, size_t); /*proto*/
+static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *, int); /*proto*/
+static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *, Py_ssize_t *, Py_ssize_t, int, char); /*proto*/
+static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *, __Pyx_memviewslice *, char, int); /*proto*/
+static int __pyx_memoryview_err_extents(int, Py_ssize_t, Py_ssize_t); /*proto*/
+static int __pyx_memoryview_err_dim(PyObject *, char *, int); /*proto*/
+static int __pyx_memoryview_err(PyObject *, char *); /*proto*/
+static int __pyx_memoryview_copy_contents(__Pyx_memviewslice, __Pyx_memviewslice, int, int, int); /*proto*/
+static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *, int, int); /*proto*/
+static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *, int, int, int); /*proto*/
+static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
+static void __pyx_memoryview_refcount_objects_in_slice(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
+static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *, int, size_t, void *, int); /*proto*/
+static void __pyx_memoryview__slice_assign_scalar(char *, Py_ssize_t *, Py_ssize_t *, int, size_t, void *); /*proto*/
+static PyObject *__pyx_unpickle_Enum__set_state(struct __pyx_MemviewEnum_obj *, PyObject *); /*proto*/
+static __Pyx_TypeInfo __Pyx_TypeInfo_float = { "float", NULL, sizeof(float), { 0 }, 0, 'R', 0, 0 };
+static __Pyx_TypeInfo __Pyx_TypeInfo_char = { "char", NULL, sizeof(char), { 0 }, 0, 'H', IS_UNSIGNED(char), 0 };
+static __Pyx_TypeInfo __Pyx_TypeInfo_int = { "int", NULL, sizeof(int), { 0 }, 0, IS_UNSIGNED(int) ? 'U' : 'I', IS_UNSIGNED(int), 0 };
+#define __Pyx_MODULE_NAME "dense"
+extern int __pyx_module_is_main_dense;
+int __pyx_module_is_main_dense = 0;
+
+/* Implementation of 'dense' */
+static PyObject *__pyx_builtin_range;
+static PyObject *__pyx_builtin_ValueError;
+static PyObject *__pyx_builtin_MemoryError;
+static PyObject *__pyx_builtin_enumerate;
+static PyObject *__pyx_builtin_TypeError;
+static PyObject *__pyx_builtin_Ellipsis;
+static PyObject *__pyx_builtin_id;
+static PyObject *__pyx_builtin_IndexError;
+static const char __pyx_k_O[] = "O";
+static const char __pyx_k_c[] = "c";
+static const char __pyx_k_id[] = "id";
+static const char __pyx_k_np[] = "np";
+static const char __pyx_k_any[] = "any";
+static const char __pyx_k_new[] = "__new__";
+static const char __pyx_k_obj[] = "obj";
+static const char __pyx_k_axis[] = "axis";
+static const char __pyx_k_base[] = "base";
+static const char __pyx_k_data[] = "data";
+static const char __pyx_k_dict[] = "__dict__";
+static const char __pyx_k_int8[] = "int8";
+static const char __pyx_k_main[] = "__main__";
+static const char __pyx_k_mask[] = "mask";
+static const char __pyx_k_mode[] = "mode";
+static const char __pyx_k_name[] = "name";
+static const char __pyx_k_ndim[] = "ndim";
+static const char __pyx_k_pack[] = "pack";
+static const char __pyx_k_size[] = "size";
+static const char __pyx_k_step[] = "step";
+static const char __pyx_k_stop[] = "stop";
+static const char __pyx_k_test[] = "__test__";
+static const char __pyx_k_ASCII[] = "ASCII";
+static const char __pyx_k_class[] = "__class__";
+static const char __pyx_k_dtype[] = "dtype";
+static const char __pyx_k_error[] = "error";
+static const char __pyx_k_flags[] = "flags";
+static const char __pyx_k_int32[] = "int32";
+static const char __pyx_k_numpy[] = "numpy";
+static const char __pyx_k_range[] = "range";
+static const char __pyx_k_ravel[] = "ravel";
+static const char __pyx_k_shape[] = "shape";
+static const char __pyx_k_start[] = "start";
+static const char __pyx_k_zeros[] = "zeros";
+static const char __pyx_k_argmax[] = "argmax";
+static const char __pyx_k_astype[] = "astype";
+static const char __pyx_k_encode[] = "encode";
+static const char __pyx_k_format[] = "format";
+static const char __pyx_k_import[] = "__import__";
+static const char __pyx_k_name_2[] = "__name__";
+static const char __pyx_k_pickle[] = "pickle";
+static const char __pyx_k_reduce[] = "__reduce__";
+static const char __pyx_k_struct[] = "struct";
+static const char __pyx_k_unpack[] = "unpack";
+static const char __pyx_k_update[] = "update";
+static const char __pyx_k_asarray[] = "asarray";
+static const char __pyx_k_float32[] = "float32";
+static const char __pyx_k_fortran[] = "fortran";
+static const char __pyx_k_memview[] = "memview";
+static const char __pyx_k_prevDat[] = "prevDat";
+static const char __pyx_k_Ellipsis[] = "Ellipsis";
+static const char __pyx_k_getstate[] = "__getstate__";
+static const char __pyx_k_itemsize[] = "itemsize";
+static const char __pyx_k_pyx_type[] = "__pyx_type";
+static const char __pyx_k_setstate[] = "__setstate__";
+static const char __pyx_k_TypeError[] = "TypeError";
+static const char __pyx_k_enumerate[] = "enumerate";
+static const char __pyx_k_pyx_state[] = "__pyx_state";
+static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
+static const char __pyx_k_IndexError[] = "IndexError";
+static const char __pyx_k_ValueError[] = "ValueError";
+static const char __pyx_k_pyx_result[] = "__pyx_result";
+static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
+static const char __pyx_k_zeros_like[] = "zeros_like";
+static const char __pyx_k_MemoryError[] = "MemoryError";
+static const char __pyx_k_PickleError[] = "PickleError";
+static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
+static const char __pyx_k_stringsource[] = "stringsource";
+static const char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";
+static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
+static const char __pyx_k_View_MemoryView[] = "View.MemoryView";
+static const char __pyx_k_allocate_buffer[] = "allocate_buffer";
+static const char __pyx_k_dtype_is_object[] = "dtype_is_object";
+static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
+static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
+static const char __pyx_k_pyx_unpickle_Enum[] = "__pyx_unpickle_Enum";
+static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
+static const char __pyx_k_strided_and_direct[] = "<strided and direct>";
+static const char __pyx_k_strided_and_indirect[] = "<strided and indirect>";
+static const char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";
+static const char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";
+static const char __pyx_k_MemoryView_of_r_at_0x_x[] = "<MemoryView of %r at 0x%x>";
+static const char __pyx_k_contiguous_and_indirect[] = "<contiguous and indirect>";
+static const char __pyx_k_Cannot_index_with_type_s[] = "Cannot index with type '%s'";
+static const char __pyx_k_Invalid_shape_in_axis_d_d[] = "Invalid shape in axis %d: %d.";
+static const char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
+static const char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";
+static const char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";
+static const char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";
+static const char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";
+static const char __pyx_k_Cannot_assign_to_read_only_memor[] = "Cannot assign to read-only memoryview";
+static const char __pyx_k_Cannot_create_writable_memory_vi[] = "Cannot create writable memory view from read-only memoryview";
+static const char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
+static const char __pyx_k_Incompatible_checksums_s_vs_0xb0[] = "Incompatible checksums (%s vs 0xb068931 = (name))";
+static const char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
+static const char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got %s";
+static const char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %d)";
+static const char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
+static const char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %d and %d)";
+static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
+static const char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";
+static PyObject *__pyx_n_s_ASCII;
+static PyObject *__pyx_kp_s_Buffer_view_does_not_expose_stri;
+static PyObject *__pyx_kp_s_Can_only_create_a_buffer_that_is;
+static PyObject *__pyx_kp_s_Cannot_assign_to_read_only_memor;
+static PyObject *__pyx_kp_s_Cannot_create_writable_memory_vi;
+static PyObject *__pyx_kp_s_Cannot_index_with_type_s;
+static PyObject *__pyx_n_s_Ellipsis;
+static PyObject *__pyx_kp_s_Empty_shape_tuple_for_cython_arr;
+static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xb0;
+static PyObject *__pyx_n_s_IndexError;
+static PyObject *__pyx_kp_s_Indirect_dimensions_not_supporte;
+static PyObject *__pyx_kp_s_Invalid_mode_expected_c_or_fortr;
+static PyObject *__pyx_kp_s_Invalid_shape_in_axis_d_d;
+static PyObject *__pyx_n_s_MemoryError;
+static PyObject *__pyx_kp_s_MemoryView_of_r_at_0x_x;
+static PyObject *__pyx_kp_s_MemoryView_of_r_object;
+static PyObject *__pyx_n_b_O;
+static PyObject *__pyx_kp_s_Out_of_bounds_on_buffer_access_a;
+static PyObject *__pyx_n_s_PickleError;
+static PyObject *__pyx_n_s_TypeError;
+static PyObject *__pyx_kp_s_Unable_to_convert_item_to_object;
+static PyObject *__pyx_n_s_ValueError;
+static PyObject *__pyx_n_s_View_MemoryView;
+static PyObject *__pyx_n_s_allocate_buffer;
+static PyObject *__pyx_n_s_any;
+static PyObject *__pyx_n_s_argmax;
+static PyObject *__pyx_n_s_asarray;
+static PyObject *__pyx_n_s_astype;
+static PyObject *__pyx_n_s_axis;
+static PyObject *__pyx_n_s_base;
+static PyObject *__pyx_n_s_c;
+static PyObject *__pyx_n_u_c;
+static PyObject *__pyx_n_s_class;
+static PyObject *__pyx_n_s_cline_in_traceback;
+static PyObject *__pyx_kp_s_contiguous_and_direct;
+static PyObject *__pyx_kp_s_contiguous_and_indirect;
+static PyObject *__pyx_n_s_data;
+static PyObject *__pyx_n_s_dict;
+static PyObject *__pyx_n_s_dtype;
+static PyObject *__pyx_n_s_dtype_is_object;
+static PyObject *__pyx_n_s_encode;
+static PyObject *__pyx_n_s_enumerate;
+static PyObject *__pyx_n_s_error;
+static PyObject *__pyx_n_s_flags;
+static PyObject *__pyx_n_s_float32;
+static PyObject *__pyx_n_s_format;
+static PyObject *__pyx_n_s_fortran;
+static PyObject *__pyx_n_u_fortran;
+static PyObject *__pyx_n_s_getstate;
+static PyObject *__pyx_kp_s_got_differing_extents_in_dimensi;
+static PyObject *__pyx_n_s_id;
+static PyObject *__pyx_n_s_import;
+static PyObject *__pyx_n_s_int32;
+static PyObject *__pyx_n_s_int8;
+static PyObject *__pyx_n_s_itemsize;
+static PyObject *__pyx_kp_s_itemsize_0_for_cython_array;
+static PyObject *__pyx_n_s_main;
+static PyObject *__pyx_n_s_mask;
+static PyObject *__pyx_n_s_memview;
+static PyObject *__pyx_n_s_mode;
+static PyObject *__pyx_n_s_name;
+static PyObject *__pyx_n_s_name_2;
+static PyObject *__pyx_n_s_ndim;
+static PyObject *__pyx_n_s_new;
+static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
+static PyObject *__pyx_n_s_np;
+static PyObject *__pyx_n_s_numpy;
+static PyObject *__pyx_n_s_obj;
+static PyObject *__pyx_n_s_pack;
+static PyObject *__pyx_n_s_pickle;
+static PyObject *__pyx_n_s_prevDat;
+static PyObject *__pyx_n_s_pyx_PickleError;
+static PyObject *__pyx_n_s_pyx_checksum;
+static PyObject *__pyx_n_s_pyx_getbuffer;
+static PyObject *__pyx_n_s_pyx_result;
+static PyObject *__pyx_n_s_pyx_state;
+static PyObject *__pyx_n_s_pyx_type;
+static PyObject *__pyx_n_s_pyx_unpickle_Enum;
+static PyObject *__pyx_n_s_pyx_vtable;
+static PyObject *__pyx_n_s_range;
+static PyObject *__pyx_n_s_ravel;
+static PyObject *__pyx_n_s_reduce;
+static PyObject *__pyx_n_s_reduce_cython;
+static PyObject *__pyx_n_s_reduce_ex;
+static PyObject *__pyx_n_s_setstate;
+static PyObject *__pyx_n_s_setstate_cython;
+static PyObject *__pyx_n_s_shape;
+static PyObject *__pyx_n_s_size;
+static PyObject *__pyx_n_s_start;
+static PyObject *__pyx_n_s_step;
+static PyObject *__pyx_n_s_stop;
+static PyObject *__pyx_kp_s_strided_and_direct;
+static PyObject *__pyx_kp_s_strided_and_direct_or_indirect;
+static PyObject *__pyx_kp_s_strided_and_indirect;
+static PyObject *__pyx_kp_s_stringsource;
+static PyObject *__pyx_n_s_struct;
+static PyObject *__pyx_n_s_test;
+static PyObject *__pyx_kp_s_unable_to_allocate_array_data;
+static PyObject *__pyx_kp_s_unable_to_allocate_shape_and_str;
+static PyObject *__pyx_n_s_unpack;
+static PyObject *__pyx_n_s_update;
+static PyObject *__pyx_n_s_zeros;
+static PyObject *__pyx_n_s_zeros_like;
+static PyObject *__pyx_pf_5dense_ttcDense(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_data, __Pyx_memviewslice __pyx_v_prevDat, __Pyx_memviewslice __pyx_v_mask); /* proto */
+static PyObject *__pyx_pf_5dense_2ttcDense_int(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_data, __Pyx_memviewslice __pyx_v_prevDat, __Pyx_memviewslice __pyx_v_mask); /* proto */
+static PyObject *__pyx_pf_5dense_4ttcDenseSymmNorm(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_data, __Pyx_memviewslice __pyx_v_mask); /* proto */
+static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */
+static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
+static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */
+static Py_ssize_t __pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__len__(struct __pyx_array_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
+static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
+static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_12__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */
+static PyObject *__pyx_pf___pyx_array___reduce_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_array_2__setstate_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
+static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
+static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_MemviewEnum___reduce_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_MemviewEnum_2__setstate_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
+static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview___cinit__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj, int __pyx_v_flags, int __pyx_v_dtype_is_object); /* proto */
+static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_4__getitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto */
+static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_6__setitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */
+static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_5shape___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_7strides___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_10suboffsets___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4ndim___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_8itemsize___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_6nbytes___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4size___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static Py_ssize_t __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_10__len__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_14__str__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_16is_c_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_18is_f_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_20copy(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
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+ *         if PyIndex_Check(index):             # <<<<<<<<<<<<<<
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+ */
+      goto __pyx_L6;
+    }
+
+    /* "View.MemoryView":754
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+ *                 False)
+ *         elif index is None:             # <<<<<<<<<<<<<<
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+ *             p_dst.strides[new_ndim] = 0
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+    __pyx_t_1 = (__pyx_t_2 != 0);
+    if (__pyx_t_1) {
+
+      /* "View.MemoryView":755
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+ *             p_dst.shape[new_ndim] = 1             # <<<<<<<<<<<<<<
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+ *             p_dst.suboffsets[new_ndim] = -1
+ */
+      (__pyx_v_p_dst->shape[__pyx_v_new_ndim]) = 1;
+
+      /* "View.MemoryView":756
+ *         elif index is None:
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+ *             p_dst.strides[new_ndim] = 0             # <<<<<<<<<<<<<<
+ *             p_dst.suboffsets[new_ndim] = -1
+ *             new_ndim += 1
+ */
+      (__pyx_v_p_dst->strides[__pyx_v_new_ndim]) = 0;
+
+      /* "View.MemoryView":757
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+ *             p_dst.strides[new_ndim] = 0
+ *             p_dst.suboffsets[new_ndim] = -1             # <<<<<<<<<<<<<<
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+ *         else:
+ */
+      (__pyx_v_p_dst->suboffsets[__pyx_v_new_ndim]) = -1L;
+
+      /* "View.MemoryView":758
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+ *             p_dst.strides[new_ndim] = 0
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+      goto __pyx_L6;
+    }
+
+    /* "View.MemoryView":760
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+ *             step = index.step or 0
+ */
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+        __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
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+      __pyx_t_10 = 0;
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+
+      /* "View.MemoryView":761
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+ */
+      __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_n_s_stop); if (unlikely(!__pyx_t_9)) __PYX_ERR(1, 761, __pyx_L1_error)
+      __Pyx_GOTREF(__pyx_t_9);
+      __pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_t_9); if (unlikely(__pyx_t_1 < 0)) __PYX_ERR(1, 761, __pyx_L1_error)
+      if (!__pyx_t_1) {
+        __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
+      } else {
+        __pyx_t_12 = __Pyx_PyIndex_AsSsize_t(__pyx_t_9); if (unlikely((__pyx_t_12 == (Py_ssize_t)-1) && PyErr_Occurred())) __PYX_ERR(1, 761, __pyx_L1_error)
+        __pyx_t_10 = __pyx_t_12;
+        __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
+        goto __pyx_L9_bool_binop_done;
+      }
+      __pyx_t_10 = 0;
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+      __pyx_v_stop = __pyx_t_10;
+
+      /* "View.MemoryView":762
+ *             start = index.start or 0
+ *             stop = index.stop or 0
+ *             step = index.step or 0             # <<<<<<<<<<<<<<
+ * 
+ *             have_start = index.start is not None
+ */
+      __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_n_s_step); if (unlikely(!__pyx_t_9)) __PYX_ERR(1, 762, __pyx_L1_error)
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+      __pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_t_9); if (unlikely(__pyx_t_1 < 0)) __PYX_ERR(1, 762, __pyx_L1_error)
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+        __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
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+        __pyx_t_10 = __pyx_t_12;
+        __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
+        goto __pyx_L11_bool_binop_done;
+      }
+      __pyx_t_10 = 0;
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+
+      /* "View.MemoryView":764
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+ * 
+ *             have_start = index.start is not None             # <<<<<<<<<<<<<<
+ *             have_stop = index.stop is not None
+ *             have_step = index.step is not None
+ */
+      __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_n_s_start); if (unlikely(!__pyx_t_9)) __PYX_ERR(1, 764, __pyx_L1_error)
+      __Pyx_GOTREF(__pyx_t_9);
+      __pyx_t_1 = (__pyx_t_9 != Py_None);
+      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
+      __pyx_v_have_start = __pyx_t_1;
+
+      /* "View.MemoryView":765
+ * 
+ *             have_start = index.start is not None
+ *             have_stop = index.stop is not None             # <<<<<<<<<<<<<<
+ *             have_step = index.step is not None
+ * 
+ */
+      __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_n_s_stop); if (unlikely(!__pyx_t_9)) __PYX_ERR(1, 765, __pyx_L1_error)
+      __Pyx_GOTREF(__pyx_t_9);
+      __pyx_t_1 = (__pyx_t_9 != Py_None);
+      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
+      __pyx_v_have_stop = __pyx_t_1;
+
+      /* "View.MemoryView":766
+ *             have_start = index.start is not None
+ *             have_stop = index.stop is not None
+ *             have_step = index.step is not None             # <<<<<<<<<<<<<<
+ * 
+ *             slice_memviewslice(
+ */
+      __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_n_s_step); if (unlikely(!__pyx_t_9)) __PYX_ERR(1, 766, __pyx_L1_error)
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+      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
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+
+      /* "View.MemoryView":768
+ *             have_step = index.step is not None
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+ *             slice_memviewslice(             # <<<<<<<<<<<<<<
+ *                 p_dst, p_src.shape[dim], p_src.strides[dim], p_src.suboffsets[dim],
+ *                 dim, new_ndim, p_suboffset_dim,
+ */
+      __pyx_t_11 = __pyx_memoryview_slice_memviewslice(__pyx_v_p_dst, (__pyx_v_p_src->shape[__pyx_v_dim]), (__pyx_v_p_src->strides[__pyx_v_dim]), (__pyx_v_p_src->suboffsets[__pyx_v_dim]), __pyx_v_dim, __pyx_v_new_ndim, __pyx_v_p_suboffset_dim, __pyx_v_start, __pyx_v_stop, __pyx_v_step, __pyx_v_have_start, __pyx_v_have_stop, __pyx_v_have_step, 1); if (unlikely(__pyx_t_11 == ((int)-1))) __PYX_ERR(1, 768, __pyx_L1_error)
+
+      /* "View.MemoryView":774
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+ *                 True)
+ *             new_ndim += 1             # <<<<<<<<<<<<<<
+ * 
+ *     if isinstance(memview, _memoryviewslice):
+ */
+      __pyx_v_new_ndim = (__pyx_v_new_ndim + 1);
+    }
+    __pyx_L6:;
+
+    /* "View.MemoryView":746
+ *     cdef bint have_start, have_stop, have_step
+ * 
+ *     for dim, index in enumerate(indices):             # <<<<<<<<<<<<<<
+ *         if PyIndex_Check(index):
+ *             slice_memviewslice(
+ */
+  }
+  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
+
+  /* "View.MemoryView":776
+ *             new_ndim += 1
+ * 
+ *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
+ *         return memoryview_fromslice(dst, new_ndim,
+ *                                     memviewsliceobj.to_object_func,
+ */
+  __pyx_t_1 = __Pyx_TypeCheck(((PyObject *)__pyx_v_memview), __pyx_memoryviewslice_type); 
+  __pyx_t_2 = (__pyx_t_1 != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":777
+ * 
+ *     if isinstance(memview, _memoryviewslice):
+ *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<
+ *                                     memviewsliceobj.to_object_func,
+ *                                     memviewsliceobj.to_dtype_func,
+ */
+    __Pyx_XDECREF(((PyObject *)__pyx_r));
+
+    /* "View.MemoryView":778
+ *     if isinstance(memview, _memoryviewslice):
+ *         return memoryview_fromslice(dst, new_ndim,
+ *                                     memviewsliceobj.to_object_func,             # <<<<<<<<<<<<<<
+ *                                     memviewsliceobj.to_dtype_func,
+ *                                     memview.dtype_is_object)
+ */
+    if (unlikely(!__pyx_v_memviewsliceobj)) { __Pyx_RaiseUnboundLocalError("memviewsliceobj"); __PYX_ERR(1, 778, __pyx_L1_error) }
+
+    /* "View.MemoryView":779
+ *         return memoryview_fromslice(dst, new_ndim,
+ *                                     memviewsliceobj.to_object_func,
+ *                                     memviewsliceobj.to_dtype_func,             # <<<<<<<<<<<<<<
+ *                                     memview.dtype_is_object)
+ *     else:
+ */
+    if (unlikely(!__pyx_v_memviewsliceobj)) { __Pyx_RaiseUnboundLocalError("memviewsliceobj"); __PYX_ERR(1, 779, __pyx_L1_error) }
+
+    /* "View.MemoryView":777
+ * 
+ *     if isinstance(memview, _memoryviewslice):
+ *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<
+ *                                     memviewsliceobj.to_object_func,
+ *                                     memviewsliceobj.to_dtype_func,
+ */
+    __pyx_t_3 = __pyx_memoryview_fromslice(__pyx_v_dst, __pyx_v_new_ndim, __pyx_v_memviewsliceobj->to_object_func, __pyx_v_memviewsliceobj->to_dtype_func, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_3)) __PYX_ERR(1, 777, __pyx_L1_error)
+    __Pyx_GOTREF(__pyx_t_3);
+    if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_memoryview_type))))) __PYX_ERR(1, 777, __pyx_L1_error)
+    __pyx_r = ((struct __pyx_memoryview_obj *)__pyx_t_3);
+    __pyx_t_3 = 0;
+    goto __pyx_L0;
+
+    /* "View.MemoryView":776
+ *             new_ndim += 1
+ * 
+ *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
+ *         return memoryview_fromslice(dst, new_ndim,
+ *                                     memviewsliceobj.to_object_func,
+ */
+  }
+
+  /* "View.MemoryView":782
+ *                                     memview.dtype_is_object)
+ *     else:
+ *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<
+ *                                     memview.dtype_is_object)
+ * 
+ */
+  /*else*/ {
+    __Pyx_XDECREF(((PyObject *)__pyx_r));
+
+    /* "View.MemoryView":783
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+ *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,
+ *                                     memview.dtype_is_object)             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+    __pyx_t_3 = __pyx_memoryview_fromslice(__pyx_v_dst, __pyx_v_new_ndim, NULL, NULL, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_3)) __PYX_ERR(1, 782, __pyx_L1_error)
+    __Pyx_GOTREF(__pyx_t_3);
+
+    /* "View.MemoryView":782
+ *                                     memview.dtype_is_object)
+ *     else:
+ *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<
+ *                                     memview.dtype_is_object)
+ * 
+ */
+    if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_memoryview_type))))) __PYX_ERR(1, 782, __pyx_L1_error)
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+    __pyx_t_3 = 0;
+    goto __pyx_L0;
+  }
+
+  /* "View.MemoryView":710
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+ * @cname('__pyx_memview_slice')
+ * cdef memoryview memview_slice(memoryview memview, object indices):             # <<<<<<<<<<<<<<
+ *     cdef int new_ndim = 0, suboffset_dim = -1, dim
+ *     cdef bint negative_step
+ */
+
+  /* function exit code */
+  __pyx_L1_error:;
+  __Pyx_XDECREF(__pyx_t_3);
+  __Pyx_XDECREF(__pyx_t_9);
+  __Pyx_AddTraceback("View.MemoryView.memview_slice", __pyx_clineno, __pyx_lineno, __pyx_filename);
+  __pyx_r = 0;
+  __pyx_L0:;
+  __Pyx_XDECREF((PyObject *)__pyx_v_memviewsliceobj);
+  __Pyx_XDECREF(__pyx_v_index);
+  __Pyx_XGIVEREF((PyObject *)__pyx_r);
+  __Pyx_RefNannyFinishContext();
+  return __pyx_r;
+}
+
+/* "View.MemoryView":807
+ * 
+ * @cname('__pyx_memoryview_slice_memviewslice')
+ * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
+ *         __Pyx_memviewslice *dst,
+ *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
+ */
+
+static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *__pyx_v_dst, Py_ssize_t __pyx_v_shape, Py_ssize_t __pyx_v_stride, Py_ssize_t __pyx_v_suboffset, int __pyx_v_dim, int __pyx_v_new_ndim, int *__pyx_v_suboffset_dim, Py_ssize_t __pyx_v_start, Py_ssize_t __pyx_v_stop, Py_ssize_t __pyx_v_step, int __pyx_v_have_start, int __pyx_v_have_stop, int __pyx_v_have_step, int __pyx_v_is_slice) {
+  Py_ssize_t __pyx_v_new_shape;
+  int __pyx_v_negative_step;
+  int __pyx_r;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  int __pyx_lineno = 0;
+  const char *__pyx_filename = NULL;
+  int __pyx_clineno = 0;
+
+  /* "View.MemoryView":827
+ *     cdef bint negative_step
+ * 
+ *     if not is_slice:             # <<<<<<<<<<<<<<
+ * 
+ *         if start < 0:
+ */
+  __pyx_t_1 = ((!(__pyx_v_is_slice != 0)) != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":829
+ *     if not is_slice:
+ * 
+ *         if start < 0:             # <<<<<<<<<<<<<<
+ *             start += shape
+ *         if not 0 <= start < shape:
+ */
+    __pyx_t_1 = ((__pyx_v_start < 0) != 0);
+    if (__pyx_t_1) {
+
+      /* "View.MemoryView":830
+ * 
+ *         if start < 0:
+ *             start += shape             # <<<<<<<<<<<<<<
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+ *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
+ */
+      __pyx_v_start = (__pyx_v_start + __pyx_v_shape);
+
+      /* "View.MemoryView":829
+ *     if not is_slice:
+ * 
+ *         if start < 0:             # <<<<<<<<<<<<<<
+ *             start += shape
+ *         if not 0 <= start < shape:
+ */
+    }
+
+    /* "View.MemoryView":831
+ *         if start < 0:
+ *             start += shape
+ *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
+ *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
+ *     else:
+ */
+    __pyx_t_1 = (0 <= __pyx_v_start);
+    if (__pyx_t_1) {
+      __pyx_t_1 = (__pyx_v_start < __pyx_v_shape);
+    }
+    __pyx_t_2 = ((!(__pyx_t_1 != 0)) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":832
+ *             start += shape
+ *         if not 0 <= start < shape:
+ *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)             # <<<<<<<<<<<<<<
+ *     else:
+ * 
+ */
+      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"Index out of bounds (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 832, __pyx_L1_error)
+
+      /* "View.MemoryView":831
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+ *             start += shape
+ *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
+ *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
+ *     else:
+ */
+    }
+
+    /* "View.MemoryView":827
+ *     cdef bint negative_step
+ * 
+ *     if not is_slice:             # <<<<<<<<<<<<<<
+ * 
+ *         if start < 0:
+ */
+    goto __pyx_L3;
+  }
+
+  /* "View.MemoryView":835
+ *     else:
+ * 
+ *         negative_step = have_step != 0 and step < 0             # <<<<<<<<<<<<<<
+ * 
+ *         if have_step and step == 0:
+ */
+  /*else*/ {
+    __pyx_t_1 = ((__pyx_v_have_step != 0) != 0);
+    if (__pyx_t_1) {
+    } else {
+      __pyx_t_2 = __pyx_t_1;
+      goto __pyx_L6_bool_binop_done;
+    }
+    __pyx_t_1 = ((__pyx_v_step < 0) != 0);
+    __pyx_t_2 = __pyx_t_1;
+    __pyx_L6_bool_binop_done:;
+    __pyx_v_negative_step = __pyx_t_2;
+
+    /* "View.MemoryView":837
+ *         negative_step = have_step != 0 and step < 0
+ * 
+ *         if have_step and step == 0:             # <<<<<<<<<<<<<<
+ *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
+ * 
+ */
+    __pyx_t_1 = (__pyx_v_have_step != 0);
+    if (__pyx_t_1) {
+    } else {
+      __pyx_t_2 = __pyx_t_1;
+      goto __pyx_L9_bool_binop_done;
+    }
+    __pyx_t_1 = ((__pyx_v_step == 0) != 0);
+    __pyx_t_2 = __pyx_t_1;
+    __pyx_L9_bool_binop_done:;
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":838
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+ *         if have_step and step == 0:
+ *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Step may not be zero (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 838, __pyx_L1_error)
+
+      /* "View.MemoryView":837
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+ * 
+ *         if have_step and step == 0:             # <<<<<<<<<<<<<<
+ *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
+ * 
+ */
+    }
+
+    /* "View.MemoryView":841
+ * 
+ * 
+ *         if have_start:             # <<<<<<<<<<<<<<
+ *             if start < 0:
+ *                 start += shape
+ */
+    __pyx_t_2 = (__pyx_v_have_start != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":842
+ * 
+ *         if have_start:
+ *             if start < 0:             # <<<<<<<<<<<<<<
+ *                 start += shape
+ *                 if start < 0:
+ */
+      __pyx_t_2 = ((__pyx_v_start < 0) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":843
+ *         if have_start:
+ *             if start < 0:
+ *                 start += shape             # <<<<<<<<<<<<<<
+ *                 if start < 0:
+ *                     start = 0
+ */
+        __pyx_v_start = (__pyx_v_start + __pyx_v_shape);
+
+        /* "View.MemoryView":844
+ *             if start < 0:
+ *                 start += shape
+ *                 if start < 0:             # <<<<<<<<<<<<<<
+ *                     start = 0
+ *             elif start >= shape:
+ */
+        __pyx_t_2 = ((__pyx_v_start < 0) != 0);
+        if (__pyx_t_2) {
+
+          /* "View.MemoryView":845
+ *                 start += shape
+ *                 if start < 0:
+ *                     start = 0             # <<<<<<<<<<<<<<
+ *             elif start >= shape:
+ *                 if negative_step:
+ */
+          __pyx_v_start = 0;
+
+          /* "View.MemoryView":844
+ *             if start < 0:
+ *                 start += shape
+ *                 if start < 0:             # <<<<<<<<<<<<<<
+ *                     start = 0
+ *             elif start >= shape:
+ */
+        }
+
+        /* "View.MemoryView":842
+ * 
+ *         if have_start:
+ *             if start < 0:             # <<<<<<<<<<<<<<
+ *                 start += shape
+ *                 if start < 0:
+ */
+        goto __pyx_L12;
+      }
+
+      /* "View.MemoryView":846
+ *                 if start < 0:
+ *                     start = 0
+ *             elif start >= shape:             # <<<<<<<<<<<<<<
+ *                 if negative_step:
+ *                     start = shape - 1
+ */
+      __pyx_t_2 = ((__pyx_v_start >= __pyx_v_shape) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":847
+ *                     start = 0
+ *             elif start >= shape:
+ *                 if negative_step:             # <<<<<<<<<<<<<<
+ *                     start = shape - 1
+ *                 else:
+ */
+        __pyx_t_2 = (__pyx_v_negative_step != 0);
+        if (__pyx_t_2) {
+
+          /* "View.MemoryView":848
+ *             elif start >= shape:
+ *                 if negative_step:
+ *                     start = shape - 1             # <<<<<<<<<<<<<<
+ *                 else:
+ *                     start = shape
+ */
+          __pyx_v_start = (__pyx_v_shape - 1);
+
+          /* "View.MemoryView":847
+ *                     start = 0
+ *             elif start >= shape:
+ *                 if negative_step:             # <<<<<<<<<<<<<<
+ *                     start = shape - 1
+ *                 else:
+ */
+          goto __pyx_L14;
+        }
+
+        /* "View.MemoryView":850
+ *                     start = shape - 1
+ *                 else:
+ *                     start = shape             # <<<<<<<<<<<<<<
+ *         else:
+ *             if negative_step:
+ */
+        /*else*/ {
+          __pyx_v_start = __pyx_v_shape;
+        }
+        __pyx_L14:;
+
+        /* "View.MemoryView":846
+ *                 if start < 0:
+ *                     start = 0
+ *             elif start >= shape:             # <<<<<<<<<<<<<<
+ *                 if negative_step:
+ *                     start = shape - 1
+ */
+      }
+      __pyx_L12:;
+
+      /* "View.MemoryView":841
+ * 
+ * 
+ *         if have_start:             # <<<<<<<<<<<<<<
+ *             if start < 0:
+ *                 start += shape
+ */
+      goto __pyx_L11;
+    }
+
+    /* "View.MemoryView":852
+ *                     start = shape
+ *         else:
+ *             if negative_step:             # <<<<<<<<<<<<<<
+ *                 start = shape - 1
+ *             else:
+ */
+    /*else*/ {
+      __pyx_t_2 = (__pyx_v_negative_step != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":853
+ *         else:
+ *             if negative_step:
+ *                 start = shape - 1             # <<<<<<<<<<<<<<
+ *             else:
+ *                 start = 0
+ */
+        __pyx_v_start = (__pyx_v_shape - 1);
+
+        /* "View.MemoryView":852
+ *                     start = shape
+ *         else:
+ *             if negative_step:             # <<<<<<<<<<<<<<
+ *                 start = shape - 1
+ *             else:
+ */
+        goto __pyx_L15;
+      }
+
+      /* "View.MemoryView":855
+ *                 start = shape - 1
+ *             else:
+ *                 start = 0             # <<<<<<<<<<<<<<
+ * 
+ *         if have_stop:
+ */
+      /*else*/ {
+        __pyx_v_start = 0;
+      }
+      __pyx_L15:;
+    }
+    __pyx_L11:;
+
+    /* "View.MemoryView":857
+ *                 start = 0
+ * 
+ *         if have_stop:             # <<<<<<<<<<<<<<
+ *             if stop < 0:
+ *                 stop += shape
+ */
+    __pyx_t_2 = (__pyx_v_have_stop != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":858
+ * 
+ *         if have_stop:
+ *             if stop < 0:             # <<<<<<<<<<<<<<
+ *                 stop += shape
+ *                 if stop < 0:
+ */
+      __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":859
+ *         if have_stop:
+ *             if stop < 0:
+ *                 stop += shape             # <<<<<<<<<<<<<<
+ *                 if stop < 0:
+ *                     stop = 0
+ */
+        __pyx_v_stop = (__pyx_v_stop + __pyx_v_shape);
+
+        /* "View.MemoryView":860
+ *             if stop < 0:
+ *                 stop += shape
+ *                 if stop < 0:             # <<<<<<<<<<<<<<
+ *                     stop = 0
+ *             elif stop > shape:
+ */
+        __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
+        if (__pyx_t_2) {
+
+          /* "View.MemoryView":861
+ *                 stop += shape
+ *                 if stop < 0:
+ *                     stop = 0             # <<<<<<<<<<<<<<
+ *             elif stop > shape:
+ *                 stop = shape
+ */
+          __pyx_v_stop = 0;
+
+          /* "View.MemoryView":860
+ *             if stop < 0:
+ *                 stop += shape
+ *                 if stop < 0:             # <<<<<<<<<<<<<<
+ *                     stop = 0
+ *             elif stop > shape:
+ */
+        }
+
+        /* "View.MemoryView":858
+ * 
+ *         if have_stop:
+ *             if stop < 0:             # <<<<<<<<<<<<<<
+ *                 stop += shape
+ *                 if stop < 0:
+ */
+        goto __pyx_L17;
+      }
+
+      /* "View.MemoryView":862
+ *                 if stop < 0:
+ *                     stop = 0
+ *             elif stop > shape:             # <<<<<<<<<<<<<<
+ *                 stop = shape
+ *         else:
+ */
+      __pyx_t_2 = ((__pyx_v_stop > __pyx_v_shape) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":863
+ *                     stop = 0
+ *             elif stop > shape:
+ *                 stop = shape             # <<<<<<<<<<<<<<
+ *         else:
+ *             if negative_step:
+ */
+        __pyx_v_stop = __pyx_v_shape;
+
+        /* "View.MemoryView":862
+ *                 if stop < 0:
+ *                     stop = 0
+ *             elif stop > shape:             # <<<<<<<<<<<<<<
+ *                 stop = shape
+ *         else:
+ */
+      }
+      __pyx_L17:;
+
+      /* "View.MemoryView":857
+ *                 start = 0
+ * 
+ *         if have_stop:             # <<<<<<<<<<<<<<
+ *             if stop < 0:
+ *                 stop += shape
+ */
+      goto __pyx_L16;
+    }
+
+    /* "View.MemoryView":865
+ *                 stop = shape
+ *         else:
+ *             if negative_step:             # <<<<<<<<<<<<<<
+ *                 stop = -1
+ *             else:
+ */
+    /*else*/ {
+      __pyx_t_2 = (__pyx_v_negative_step != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":866
+ *         else:
+ *             if negative_step:
+ *                 stop = -1             # <<<<<<<<<<<<<<
+ *             else:
+ *                 stop = shape
+ */
+        __pyx_v_stop = -1L;
+
+        /* "View.MemoryView":865
+ *                 stop = shape
+ *         else:
+ *             if negative_step:             # <<<<<<<<<<<<<<
+ *                 stop = -1
+ *             else:
+ */
+        goto __pyx_L19;
+      }
+
+      /* "View.MemoryView":868
+ *                 stop = -1
+ *             else:
+ *                 stop = shape             # <<<<<<<<<<<<<<
+ * 
+ *         if not have_step:
+ */
+      /*else*/ {
+        __pyx_v_stop = __pyx_v_shape;
+      }
+      __pyx_L19:;
+    }
+    __pyx_L16:;
+
+    /* "View.MemoryView":870
+ *                 stop = shape
+ * 
+ *         if not have_step:             # <<<<<<<<<<<<<<
+ *             step = 1
+ * 
+ */
+    __pyx_t_2 = ((!(__pyx_v_have_step != 0)) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":871
+ * 
+ *         if not have_step:
+ *             step = 1             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+      __pyx_v_step = 1;
+
+      /* "View.MemoryView":870
+ *                 stop = shape
+ * 
+ *         if not have_step:             # <<<<<<<<<<<<<<
+ *             step = 1
+ * 
+ */
+    }
+
+    /* "View.MemoryView":875
+ * 
+ *         with cython.cdivision(True):
+ *             new_shape = (stop - start) // step             # <<<<<<<<<<<<<<
+ * 
+ *             if (stop - start) - step * new_shape:
+ */
+    __pyx_v_new_shape = ((__pyx_v_stop - __pyx_v_start) / __pyx_v_step);
+
+    /* "View.MemoryView":877
+ *             new_shape = (stop - start) // step
+ * 
+ *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
+ *                 new_shape += 1
+ * 
+ */
+    __pyx_t_2 = (((__pyx_v_stop - __pyx_v_start) - (__pyx_v_step * __pyx_v_new_shape)) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":878
+ * 
+ *             if (stop - start) - step * new_shape:
+ *                 new_shape += 1             # <<<<<<<<<<<<<<
+ * 
+ *         if new_shape < 0:
+ */
+      __pyx_v_new_shape = (__pyx_v_new_shape + 1);
+
+      /* "View.MemoryView":877
+ *             new_shape = (stop - start) // step
+ * 
+ *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
+ *                 new_shape += 1
+ * 
+ */
+    }
+
+    /* "View.MemoryView":880
+ *                 new_shape += 1
+ * 
+ *         if new_shape < 0:             # <<<<<<<<<<<<<<
+ *             new_shape = 0
+ * 
+ */
+    __pyx_t_2 = ((__pyx_v_new_shape < 0) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":881
+ * 
+ *         if new_shape < 0:
+ *             new_shape = 0             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+      __pyx_v_new_shape = 0;
+
+      /* "View.MemoryView":880
+ *                 new_shape += 1
+ * 
+ *         if new_shape < 0:             # <<<<<<<<<<<<<<
+ *             new_shape = 0
+ * 
+ */
+    }
+
+    /* "View.MemoryView":884
+ * 
+ * 
+ *         dst.strides[new_ndim] = stride * step             # <<<<<<<<<<<<<<
+ *         dst.shape[new_ndim] = new_shape
+ *         dst.suboffsets[new_ndim] = suboffset
+ */
+    (__pyx_v_dst->strides[__pyx_v_new_ndim]) = (__pyx_v_stride * __pyx_v_step);
+
+    /* "View.MemoryView":885
+ * 
+ *         dst.strides[new_ndim] = stride * step
+ *         dst.shape[new_ndim] = new_shape             # <<<<<<<<<<<<<<
+ *         dst.suboffsets[new_ndim] = suboffset
+ * 
+ */
+    (__pyx_v_dst->shape[__pyx_v_new_ndim]) = __pyx_v_new_shape;
+
+    /* "View.MemoryView":886
+ *         dst.strides[new_ndim] = stride * step
+ *         dst.shape[new_ndim] = new_shape
+ *         dst.suboffsets[new_ndim] = suboffset             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+    (__pyx_v_dst->suboffsets[__pyx_v_new_ndim]) = __pyx_v_suboffset;
+  }
+  __pyx_L3:;
+
+  /* "View.MemoryView":889
+ * 
+ * 
+ *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
+ *         dst.data += start * stride
+ *     else:
+ */
+  __pyx_t_2 = (((__pyx_v_suboffset_dim[0]) < 0) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":890
+ * 
+ *     if suboffset_dim[0] < 0:
+ *         dst.data += start * stride             # <<<<<<<<<<<<<<
+ *     else:
+ *         dst.suboffsets[suboffset_dim[0]] += start * stride
+ */
+    __pyx_v_dst->data = (__pyx_v_dst->data + (__pyx_v_start * __pyx_v_stride));
+
+    /* "View.MemoryView":889
+ * 
+ * 
+ *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
+ *         dst.data += start * stride
+ *     else:
+ */
+    goto __pyx_L23;
+  }
+
+  /* "View.MemoryView":892
+ *         dst.data += start * stride
+ *     else:
+ *         dst.suboffsets[suboffset_dim[0]] += start * stride             # <<<<<<<<<<<<<<
+ * 
+ *     if suboffset >= 0:
+ */
+  /*else*/ {
+    __pyx_t_3 = (__pyx_v_suboffset_dim[0]);
+    (__pyx_v_dst->suboffsets[__pyx_t_3]) = ((__pyx_v_dst->suboffsets[__pyx_t_3]) + (__pyx_v_start * __pyx_v_stride));
+  }
+  __pyx_L23:;
+
+  /* "View.MemoryView":894
+ *         dst.suboffsets[suboffset_dim[0]] += start * stride
+ * 
+ *     if suboffset >= 0:             # <<<<<<<<<<<<<<
+ *         if not is_slice:
+ *             if new_ndim == 0:
+ */
+  __pyx_t_2 = ((__pyx_v_suboffset >= 0) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":895
+ * 
+ *     if suboffset >= 0:
+ *         if not is_slice:             # <<<<<<<<<<<<<<
+ *             if new_ndim == 0:
+ *                 dst.data = (<char **> dst.data)[0] + suboffset
+ */
+    __pyx_t_2 = ((!(__pyx_v_is_slice != 0)) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":896
+ *     if suboffset >= 0:
+ *         if not is_slice:
+ *             if new_ndim == 0:             # <<<<<<<<<<<<<<
+ *                 dst.data = (<char **> dst.data)[0] + suboffset
+ *             else:
+ */
+      __pyx_t_2 = ((__pyx_v_new_ndim == 0) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":897
+ *         if not is_slice:
+ *             if new_ndim == 0:
+ *                 dst.data = (<char **> dst.data)[0] + suboffset             # <<<<<<<<<<<<<<
+ *             else:
+ *                 _err_dim(IndexError, "All dimensions preceding dimension %d "
+ */
+        __pyx_v_dst->data = ((((char **)__pyx_v_dst->data)[0]) + __pyx_v_suboffset);
+
+        /* "View.MemoryView":896
+ *     if suboffset >= 0:
+ *         if not is_slice:
+ *             if new_ndim == 0:             # <<<<<<<<<<<<<<
+ *                 dst.data = (<char **> dst.data)[0] + suboffset
+ *             else:
+ */
+        goto __pyx_L26;
+      }
+
+      /* "View.MemoryView":899
+ *                 dst.data = (<char **> dst.data)[0] + suboffset
+ *             else:
+ *                 _err_dim(IndexError, "All dimensions preceding dimension %d "             # <<<<<<<<<<<<<<
+ *                                      "must be indexed and not sliced", dim)
+ *         else:
+ */
+      /*else*/ {
+
+        /* "View.MemoryView":900
+ *             else:
+ *                 _err_dim(IndexError, "All dimensions preceding dimension %d "
+ *                                      "must be indexed and not sliced", dim)             # <<<<<<<<<<<<<<
+ *         else:
+ *             suboffset_dim[0] = new_ndim
+ */
+        __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"All dimensions preceding dimension %d must be indexed and not sliced"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 899, __pyx_L1_error)
+      }
+      __pyx_L26:;
+
+      /* "View.MemoryView":895
+ * 
+ *     if suboffset >= 0:
+ *         if not is_slice:             # <<<<<<<<<<<<<<
+ *             if new_ndim == 0:
+ *                 dst.data = (<char **> dst.data)[0] + suboffset
+ */
+      goto __pyx_L25;
+    }
+
+    /* "View.MemoryView":902
+ *                                      "must be indexed and not sliced", dim)
+ *         else:
+ *             suboffset_dim[0] = new_ndim             # <<<<<<<<<<<<<<
+ * 
+ *     return 0
+ */
+    /*else*/ {
+      (__pyx_v_suboffset_dim[0]) = __pyx_v_new_ndim;
+    }
+    __pyx_L25:;
+
+    /* "View.MemoryView":894
+ *         dst.suboffsets[suboffset_dim[0]] += start * stride
+ * 
+ *     if suboffset >= 0:             # <<<<<<<<<<<<<<
+ *         if not is_slice:
+ *             if new_ndim == 0:
+ */
+  }
+
+  /* "View.MemoryView":904
+ *             suboffset_dim[0] = new_ndim
+ * 
+ *     return 0             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  __pyx_r = 0;
+  goto __pyx_L0;
+
+  /* "View.MemoryView":807
+ * 
+ * @cname('__pyx_memoryview_slice_memviewslice')
+ * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
+ *         __Pyx_memviewslice *dst,
+ *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
+ */
+
+  /* function exit code */
+  __pyx_L1_error:;
+  {
+    #ifdef WITH_THREAD
+    PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
+    #endif
+    __Pyx_AddTraceback("View.MemoryView.slice_memviewslice", __pyx_clineno, __pyx_lineno, __pyx_filename);
+    #ifdef WITH_THREAD
+    __Pyx_PyGILState_Release(__pyx_gilstate_save);
+    #endif
+  }
+  __pyx_r = -1;
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+/* "View.MemoryView":910
+ * 
+ * @cname('__pyx_pybuffer_index')
+ * cdef char *pybuffer_index(Py_buffer *view, char *bufp, Py_ssize_t index,             # <<<<<<<<<<<<<<
+ *                           Py_ssize_t dim) except NULL:
+ *     cdef Py_ssize_t shape, stride, suboffset = -1
+ */
+
+static char *__pyx_pybuffer_index(Py_buffer *__pyx_v_view, char *__pyx_v_bufp, Py_ssize_t __pyx_v_index, Py_ssize_t __pyx_v_dim) {
+  Py_ssize_t __pyx_v_shape;
+  Py_ssize_t __pyx_v_stride;
+  Py_ssize_t __pyx_v_suboffset;
+  Py_ssize_t __pyx_v_itemsize;
+  char *__pyx_v_resultp;
+  char *__pyx_r;
+  __Pyx_RefNannyDeclarations
+  Py_ssize_t __pyx_t_1;
+  int __pyx_t_2;
+  PyObject *__pyx_t_3 = NULL;
+  PyObject *__pyx_t_4 = NULL;
+  int __pyx_lineno = 0;
+  const char *__pyx_filename = NULL;
+  int __pyx_clineno = 0;
+  __Pyx_RefNannySetupContext("pybuffer_index", 0);
+
+  /* "View.MemoryView":912
+ * cdef char *pybuffer_index(Py_buffer *view, char *bufp, Py_ssize_t index,
+ *                           Py_ssize_t dim) except NULL:
+ *     cdef Py_ssize_t shape, stride, suboffset = -1             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t itemsize = view.itemsize
+ *     cdef char *resultp
+ */
+  __pyx_v_suboffset = -1L;
+
+  /* "View.MemoryView":913
+ *                           Py_ssize_t dim) except NULL:
+ *     cdef Py_ssize_t shape, stride, suboffset = -1
+ *     cdef Py_ssize_t itemsize = view.itemsize             # <<<<<<<<<<<<<<
+ *     cdef char *resultp
+ * 
+ */
+  __pyx_t_1 = __pyx_v_view->itemsize;
+  __pyx_v_itemsize = __pyx_t_1;
+
+  /* "View.MemoryView":916
+ *     cdef char *resultp
+ * 
+ *     if view.ndim == 0:             # <<<<<<<<<<<<<<
+ *         shape = view.len / itemsize
+ *         stride = itemsize
+ */
+  __pyx_t_2 = ((__pyx_v_view->ndim == 0) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":917
+ * 
+ *     if view.ndim == 0:
+ *         shape = view.len / itemsize             # <<<<<<<<<<<<<<
+ *         stride = itemsize
+ *     else:
+ */
+    if (unlikely(__pyx_v_itemsize == 0)) {
+      PyErr_SetString(PyExc_ZeroDivisionError, "integer division or modulo by zero");
+      __PYX_ERR(1, 917, __pyx_L1_error)
+    }
+    else if (sizeof(Py_ssize_t) == sizeof(long) && (!(((Py_ssize_t)-1) > 0)) && unlikely(__pyx_v_itemsize == (Py_ssize_t)-1)  && unlikely(UNARY_NEG_WOULD_OVERFLOW(__pyx_v_view->len))) {
+      PyErr_SetString(PyExc_OverflowError, "value too large to perform division");
+      __PYX_ERR(1, 917, __pyx_L1_error)
+    }
+    __pyx_v_shape = __Pyx_div_Py_ssize_t(__pyx_v_view->len, __pyx_v_itemsize);
+
+    /* "View.MemoryView":918
+ *     if view.ndim == 0:
+ *         shape = view.len / itemsize
+ *         stride = itemsize             # <<<<<<<<<<<<<<
+ *     else:
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+ * 
+ */
+  __pyx_t_5 = __pyx_memoryview_fromslice((__pyx_v_memviewslice[0]), __pyx_v_memview->view.ndim, __pyx_v_to_object_func, __pyx_v_to_dtype_func, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_5)) __PYX_ERR(1, 1101, __pyx_L1_error)
+  __Pyx_GOTREF(__pyx_t_5);
+  __pyx_r = __pyx_t_5;
+  __pyx_t_5 = 0;
+  goto __pyx_L0;
+
+  /* "View.MemoryView":1087
+ * 
+ * @cname('__pyx_memoryview_copy_object_from_slice')
+ * cdef memoryview_copy_from_slice(memoryview memview, __Pyx_memviewslice *memviewslice):             # <<<<<<<<<<<<<<
+ *     """
+ *     Create a new memoryview object from a given memoryview object and slice.
+ */
+
+  /* function exit code */
+  __pyx_L1_error:;
+  __Pyx_XDECREF(__pyx_t_5);
+  __Pyx_AddTraceback("View.MemoryView.memoryview_copy_from_slice", __pyx_clineno, __pyx_lineno, __pyx_filename);
+  __pyx_r = 0;
+  __pyx_L0:;
+  __Pyx_XGIVEREF(__pyx_r);
+  __Pyx_RefNannyFinishContext();
+  return __pyx_r;
+}
+
+/* "View.MemoryView":1109
+ * 
+ * 
+ * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:             # <<<<<<<<<<<<<<
+ *     if arg < 0:
+ *         return -arg
+ */
+
+static Py_ssize_t abs_py_ssize_t(Py_ssize_t __pyx_v_arg) {
+  Py_ssize_t __pyx_r;
+  int __pyx_t_1;
+
+  /* "View.MemoryView":1110
+ * 
+ * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:
+ *     if arg < 0:             # <<<<<<<<<<<<<<
+ *         return -arg
+ *     else:
+ */
+  __pyx_t_1 = ((__pyx_v_arg < 0) != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":1111
+ * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:
+ *     if arg < 0:
+ *         return -arg             # <<<<<<<<<<<<<<
+ *     else:
+ *         return arg
+ */
+    __pyx_r = (-__pyx_v_arg);
+    goto __pyx_L0;
+
+    /* "View.MemoryView":1110
+ * 
+ * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:
+ *     if arg < 0:             # <<<<<<<<<<<<<<
+ *         return -arg
+ *     else:
+ */
+  }
+
+  /* "View.MemoryView":1113
+ *         return -arg
+ *     else:
+ *         return arg             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_get_best_slice_order')
+ */
+  /*else*/ {
+    __pyx_r = __pyx_v_arg;
+    goto __pyx_L0;
+  }
+
+  /* "View.MemoryView":1109
+ * 
+ * 
+ * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:             # <<<<<<<<<<<<<<
+ *     if arg < 0:
+ *         return -arg
+ */
+
+  /* function exit code */
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+/* "View.MemoryView":1116
+ * 
+ * @cname('__pyx_get_best_slice_order')
+ * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<
+ *     """
+ *     Figure out the best memory access order for a given slice.
+ */
+
+static char __pyx_get_best_slice_order(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim) {
+  int __pyx_v_i;
+  Py_ssize_t __pyx_v_c_stride;
+  Py_ssize_t __pyx_v_f_stride;
+  char __pyx_r;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  int __pyx_t_4;
+
+  /* "View.MemoryView":1121
+ *     """
+ *     cdef int i
+ *     cdef Py_ssize_t c_stride = 0             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t f_stride = 0
+ * 
+ */
+  __pyx_v_c_stride = 0;
+
+  /* "View.MemoryView":1122
+ *     cdef int i
+ *     cdef Py_ssize_t c_stride = 0
+ *     cdef Py_ssize_t f_stride = 0             # <<<<<<<<<<<<<<
+ * 
+ *     for i in range(ndim - 1, -1, -1):
+ */
+  __pyx_v_f_stride = 0;
+
+  /* "View.MemoryView":1124
+ *     cdef Py_ssize_t f_stride = 0
+ * 
+ *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
+ *         if mslice.shape[i] > 1:
+ *             c_stride = mslice.strides[i]
+ */
+  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1; __pyx_t_1-=1) {
+    __pyx_v_i = __pyx_t_1;
+
+    /* "View.MemoryView":1125
+ * 
+ *     for i in range(ndim - 1, -1, -1):
+ *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
+ *             c_stride = mslice.strides[i]
+ *             break
+ */
+    __pyx_t_2 = (((__pyx_v_mslice->shape[__pyx_v_i]) > 1) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1126
+ *     for i in range(ndim - 1, -1, -1):
+ *         if mslice.shape[i] > 1:
+ *             c_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
+ *             break
+ * 
+ */
+      __pyx_v_c_stride = (__pyx_v_mslice->strides[__pyx_v_i]);
+
+      /* "View.MemoryView":1127
+ *         if mslice.shape[i] > 1:
+ *             c_stride = mslice.strides[i]
+ *             break             # <<<<<<<<<<<<<<
+ * 
+ *     for i in range(ndim):
+ */
+      goto __pyx_L4_break;
+
+      /* "View.MemoryView":1125
+ * 
+ *     for i in range(ndim - 1, -1, -1):
+ *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
+ *             c_stride = mslice.strides[i]
+ *             break
+ */
+    }
+  }
+  __pyx_L4_break:;
+
+  /* "View.MemoryView":1129
+ *             break
+ * 
+ *     for i in range(ndim):             # <<<<<<<<<<<<<<
+ *         if mslice.shape[i] > 1:
+ *             f_stride = mslice.strides[i]
+ */
+  __pyx_t_1 = __pyx_v_ndim;
+  __pyx_t_3 = __pyx_t_1;
+  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
+    __pyx_v_i = __pyx_t_4;
+
+    /* "View.MemoryView":1130
+ * 
+ *     for i in range(ndim):
+ *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
+ *             f_stride = mslice.strides[i]
+ *             break
+ */
+    __pyx_t_2 = (((__pyx_v_mslice->shape[__pyx_v_i]) > 1) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1131
+ *     for i in range(ndim):
+ *         if mslice.shape[i] > 1:
+ *             f_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
+ *             break
+ * 
+ */
+      __pyx_v_f_stride = (__pyx_v_mslice->strides[__pyx_v_i]);
+
+      /* "View.MemoryView":1132
+ *         if mslice.shape[i] > 1:
+ *             f_stride = mslice.strides[i]
+ *             break             # <<<<<<<<<<<<<<
+ * 
+ *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
+ */
+      goto __pyx_L7_break;
+
+      /* "View.MemoryView":1130
+ * 
+ *     for i in range(ndim):
+ *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
+ *             f_stride = mslice.strides[i]
+ *             break
+ */
+    }
+  }
+  __pyx_L7_break:;
+
+  /* "View.MemoryView":1134
+ *             break
+ * 
+ *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
+ *         return 'C'
+ *     else:
+ */
+  __pyx_t_2 = ((abs_py_ssize_t(__pyx_v_c_stride) <= abs_py_ssize_t(__pyx_v_f_stride)) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":1135
+ * 
+ *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
+ *         return 'C'             # <<<<<<<<<<<<<<
+ *     else:
+ *         return 'F'
+ */
+    __pyx_r = 'C';
+    goto __pyx_L0;
+
+    /* "View.MemoryView":1134
+ *             break
+ * 
+ *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
+ *         return 'C'
+ *     else:
+ */
+  }
+
+  /* "View.MemoryView":1137
+ *         return 'C'
+ *     else:
+ *         return 'F'             # <<<<<<<<<<<<<<
+ * 
+ * @cython.cdivision(True)
+ */
+  /*else*/ {
+    __pyx_r = 'F';
+    goto __pyx_L0;
+  }
+
+  /* "View.MemoryView":1116
+ * 
+ * @cname('__pyx_get_best_slice_order')
+ * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<
+ *     """
+ *     Figure out the best memory access order for a given slice.
+ */
+
+  /* function exit code */
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+/* "View.MemoryView":1140
+ * 
+ * @cython.cdivision(True)
+ * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
+ *                                    char *dst_data, Py_ssize_t *dst_strides,
+ *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
+ */
+
+static void _copy_strided_to_strided(char *__pyx_v_src_data, Py_ssize_t *__pyx_v_src_strides, char *__pyx_v_dst_data, Py_ssize_t *__pyx_v_dst_strides, Py_ssize_t *__pyx_v_src_shape, Py_ssize_t *__pyx_v_dst_shape, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
+  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
+  CYTHON_UNUSED Py_ssize_t __pyx_v_src_extent;
+  Py_ssize_t __pyx_v_dst_extent;
+  Py_ssize_t __pyx_v_src_stride;
+  Py_ssize_t __pyx_v_dst_stride;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  Py_ssize_t __pyx_t_4;
+  Py_ssize_t __pyx_t_5;
+  Py_ssize_t __pyx_t_6;
+
+  /* "View.MemoryView":1147
+ * 
+ *     cdef Py_ssize_t i
+ *     cdef Py_ssize_t src_extent = src_shape[0]             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t dst_extent = dst_shape[0]
+ *     cdef Py_ssize_t src_stride = src_strides[0]
+ */
+  __pyx_v_src_extent = (__pyx_v_src_shape[0]);
+
+  /* "View.MemoryView":1148
+ *     cdef Py_ssize_t i
+ *     cdef Py_ssize_t src_extent = src_shape[0]
+ *     cdef Py_ssize_t dst_extent = dst_shape[0]             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t src_stride = src_strides[0]
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]
+ */
+  __pyx_v_dst_extent = (__pyx_v_dst_shape[0]);
+
+  /* "View.MemoryView":1149
+ *     cdef Py_ssize_t src_extent = src_shape[0]
+ *     cdef Py_ssize_t dst_extent = dst_shape[0]
+ *     cdef Py_ssize_t src_stride = src_strides[0]             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]
+ * 
+ */
+  __pyx_v_src_stride = (__pyx_v_src_strides[0]);
+
+  /* "View.MemoryView":1150
+ *     cdef Py_ssize_t dst_extent = dst_shape[0]
+ *     cdef Py_ssize_t src_stride = src_strides[0]
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]             # <<<<<<<<<<<<<<
+ * 
+ *     if ndim == 1:
+ */
+  __pyx_v_dst_stride = (__pyx_v_dst_strides[0]);
+
+  /* "View.MemoryView":1152
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]
+ * 
+ *     if ndim == 1:             # <<<<<<<<<<<<<<
+ *        if (src_stride > 0 and dst_stride > 0 and
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ */
+  __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":1153
+ * 
+ *     if ndim == 1:
+ *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ */
+    __pyx_t_2 = ((__pyx_v_src_stride > 0) != 0);
+    if (__pyx_t_2) {
+    } else {
+      __pyx_t_1 = __pyx_t_2;
+      goto __pyx_L5_bool_binop_done;
+    }
+    __pyx_t_2 = ((__pyx_v_dst_stride > 0) != 0);
+    if (__pyx_t_2) {
+    } else {
+      __pyx_t_1 = __pyx_t_2;
+      goto __pyx_L5_bool_binop_done;
+    }
+
+    /* "View.MemoryView":1154
+ *     if ndim == 1:
+ *        if (src_stride > 0 and dst_stride > 0 and
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):             # <<<<<<<<<<<<<<
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ *        else:
+ */
+    __pyx_t_2 = (((size_t)__pyx_v_src_stride) == __pyx_v_itemsize);
+    if (__pyx_t_2) {
+      __pyx_t_2 = (__pyx_v_itemsize == ((size_t)__pyx_v_dst_stride));
+    }
+    __pyx_t_3 = (__pyx_t_2 != 0);
+    __pyx_t_1 = __pyx_t_3;
+    __pyx_L5_bool_binop_done:;
+
+    /* "View.MemoryView":1153
+ * 
+ *     if ndim == 1:
+ *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ */
+    if (__pyx_t_1) {
+
+      /* "View.MemoryView":1155
+ *        if (src_stride > 0 and dst_stride > 0 and
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)             # <<<<<<<<<<<<<<
+ *        else:
+ *            for i in range(dst_extent):
+ */
+      (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * __pyx_v_dst_extent)));
+
+      /* "View.MemoryView":1153
+ * 
+ *     if ndim == 1:
+ *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ */
+      goto __pyx_L4;
+    }
+
+    /* "View.MemoryView":1157
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ *        else:
+ *            for i in range(dst_extent):             # <<<<<<<<<<<<<<
+ *                memcpy(dst_data, src_data, itemsize)
+ *                src_data += src_stride
+ */
+    /*else*/ {
+      __pyx_t_4 = __pyx_v_dst_extent;
+      __pyx_t_5 = __pyx_t_4;
+      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
+        __pyx_v_i = __pyx_t_6;
+
+        /* "View.MemoryView":1158
+ *        else:
+ *            for i in range(dst_extent):
+ *                memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<
+ *                src_data += src_stride
+ *                dst_data += dst_stride
+ */
+        (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize));
+
+        /* "View.MemoryView":1159
+ *            for i in range(dst_extent):
+ *                memcpy(dst_data, src_data, itemsize)
+ *                src_data += src_stride             # <<<<<<<<<<<<<<
+ *                dst_data += dst_stride
+ *     else:
+ */
+        __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);
+
+        /* "View.MemoryView":1160
+ *                memcpy(dst_data, src_data, itemsize)
+ *                src_data += src_stride
+ *                dst_data += dst_stride             # <<<<<<<<<<<<<<
+ *     else:
+ *         for i in range(dst_extent):
+ */
+        __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
+      }
+    }
+    __pyx_L4:;
+
+    /* "View.MemoryView":1152
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]
+ * 
+ *     if ndim == 1:             # <<<<<<<<<<<<<<
+ *        if (src_stride > 0 and dst_stride > 0 and
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ */
+    goto __pyx_L3;
+  }
+
+  /* "View.MemoryView":1162
+ *                dst_data += dst_stride
+ *     else:
+ *         for i in range(dst_extent):             # <<<<<<<<<<<<<<
+ *             _copy_strided_to_strided(src_data, src_strides + 1,
+ *                                      dst_data, dst_strides + 1,
+ */
+  /*else*/ {
+    __pyx_t_4 = __pyx_v_dst_extent;
+    __pyx_t_5 = __pyx_t_4;
+    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
+      __pyx_v_i = __pyx_t_6;
+
+      /* "View.MemoryView":1163
+ *     else:
+ *         for i in range(dst_extent):
+ *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<
+ *                                      dst_data, dst_strides + 1,
+ *                                      src_shape + 1, dst_shape + 1,
+ */
+      _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);
+
+      /* "View.MemoryView":1167
+ *                                      src_shape + 1, dst_shape + 1,
+ *                                      ndim - 1, itemsize)
+ *             src_data += src_stride             # <<<<<<<<<<<<<<
+ *             dst_data += dst_stride
+ * 
+ */
+      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);
+
+      /* "View.MemoryView":1168
+ *                                      ndim - 1, itemsize)
+ *             src_data += src_stride
+ *             dst_data += dst_stride             # <<<<<<<<<<<<<<
+ * 
+ * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,
+ */
+      __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
+    }
+  }
+  __pyx_L3:;
+
+  /* "View.MemoryView":1140
+ * 
+ * @cython.cdivision(True)
+ * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
+ *                                    char *dst_data, Py_ssize_t *dst_strides,
+ *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
+ */
+
+  /* function exit code */
+}
+
+/* "View.MemoryView":1170
+ *             dst_data += dst_stride
+ * 
+ * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
+ *                                   __Pyx_memviewslice *dst,
+ *                                   int ndim, size_t itemsize) nogil:
+ */
+
+static void copy_strided_to_strided(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
+
+  /* "View.MemoryView":1173
+ *                                   __Pyx_memviewslice *dst,
+ *                                   int ndim, size_t itemsize) nogil:
+ *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<
+ *                              src.shape, dst.shape, ndim, itemsize)
+ * 
+ */
+  _copy_strided_to_strided(__pyx_v_src->data, __pyx_v_src->strides, __pyx_v_dst->data, __pyx_v_dst->strides, __pyx_v_src->shape, __pyx_v_dst->shape, __pyx_v_ndim, __pyx_v_itemsize);
+
+  /* "View.MemoryView":1170
+ *             dst_data += dst_stride
+ * 
+ * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
+ *                                   __Pyx_memviewslice *dst,
+ *                                   int ndim, size_t itemsize) nogil:
+ */
+
+  /* function exit code */
+}
+
+/* "View.MemoryView":1177
+ * 
+ * @cname('__pyx_memoryview_slice_get_size')
+ * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
+ *     "Return the size of the memory occupied by the slice in number of bytes"
+ *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
+ */
+
+static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *__pyx_v_src, int __pyx_v_ndim) {
+  Py_ssize_t __pyx_v_shape;
+  Py_ssize_t __pyx_v_size;
+  Py_ssize_t __pyx_r;
+  Py_ssize_t __pyx_t_1;
+  Py_ssize_t *__pyx_t_2;
+  Py_ssize_t *__pyx_t_3;
+  Py_ssize_t *__pyx_t_4;
+
+  /* "View.MemoryView":1179
+ * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:
+ *     "Return the size of the memory occupied by the slice in number of bytes"
+ *     cdef Py_ssize_t shape, size = src.memview.view.itemsize             # <<<<<<<<<<<<<<
+ * 
+ *     for shape in src.shape[:ndim]:
+ */
+  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
+  __pyx_v_size = __pyx_t_1;
+
+  /* "View.MemoryView":1181
+ *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
+ * 
+ *     for shape in src.shape[:ndim]:             # <<<<<<<<<<<<<<
+ *         size *= shape
+ * 
+ */
+  __pyx_t_3 = (__pyx_v_src->shape + __pyx_v_ndim);
+  for (__pyx_t_4 = __pyx_v_src->shape; __pyx_t_4 < __pyx_t_3; __pyx_t_4++) {
+    __pyx_t_2 = __pyx_t_4;
+    __pyx_v_shape = (__pyx_t_2[0]);
+
+    /* "View.MemoryView":1182
+ * 
+ *     for shape in src.shape[:ndim]:
+ *         size *= shape             # <<<<<<<<<<<<<<
+ * 
+ *     return size
+ */
+    __pyx_v_size = (__pyx_v_size * __pyx_v_shape);
+  }
+
+  /* "View.MemoryView":1184
+ *         size *= shape
+ * 
+ *     return size             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_fill_contig_strides_array')
+ */
+  __pyx_r = __pyx_v_size;
+  goto __pyx_L0;
+
+  /* "View.MemoryView":1177
+ * 
+ * @cname('__pyx_memoryview_slice_get_size')
+ * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
+ *     "Return the size of the memory occupied by the slice in number of bytes"
+ *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
+ */
+
+  /* function exit code */
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+/* "View.MemoryView":1187
+ * 
+ * @cname('__pyx_fill_contig_strides_array')
+ * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
+ *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
+ *                 int ndim, char order) nogil:
+ */
+
+static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, Py_ssize_t __pyx_v_stride, int __pyx_v_ndim, char __pyx_v_order) {
+  int __pyx_v_idx;
+  Py_ssize_t __pyx_r;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  int __pyx_t_4;
+
+  /* "View.MemoryView":1196
+ *     cdef int idx
+ * 
+ *     if order == 'F':             # <<<<<<<<<<<<<<
+ *         for idx in range(ndim):
+ *             strides[idx] = stride
+ */
+  __pyx_t_1 = ((__pyx_v_order == 'F') != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":1197
+ * 
+ *     if order == 'F':
+ *         for idx in range(ndim):             # <<<<<<<<<<<<<<
+ *             strides[idx] = stride
+ *             stride *= shape[idx]
+ */
+    __pyx_t_2 = __pyx_v_ndim;
+    __pyx_t_3 = __pyx_t_2;
+    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
+      __pyx_v_idx = __pyx_t_4;
+
+      /* "View.MemoryView":1198
+ *     if order == 'F':
+ *         for idx in range(ndim):
+ *             strides[idx] = stride             # <<<<<<<<<<<<<<
+ *             stride *= shape[idx]
+ *     else:
+ */
+      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;
+
+      /* "View.MemoryView":1199
+ *         for idx in range(ndim):
+ *             strides[idx] = stride
+ *             stride *= shape[idx]             # <<<<<<<<<<<<<<
+ *     else:
+ *         for idx in range(ndim - 1, -1, -1):
+ */
+      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
+    }
+
+    /* "View.MemoryView":1196
+ *     cdef int idx
+ * 
+ *     if order == 'F':             # <<<<<<<<<<<<<<
+ *         for idx in range(ndim):
+ *             strides[idx] = stride
+ */
+    goto __pyx_L3;
+  }
+
+  /* "View.MemoryView":1201
+ *             stride *= shape[idx]
+ *     else:
+ *         for idx in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
+ *             strides[idx] = stride
+ *             stride *= shape[idx]
+ */
+  /*else*/ {
+    for (__pyx_t_2 = (__pyx_v_ndim - 1); __pyx_t_2 > -1; __pyx_t_2-=1) {
+      __pyx_v_idx = __pyx_t_2;
+
+      /* "View.MemoryView":1202
+ *     else:
+ *         for idx in range(ndim - 1, -1, -1):
+ *             strides[idx] = stride             # <<<<<<<<<<<<<<
+ *             stride *= shape[idx]
+ * 
+ */
+      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;
+
+      /* "View.MemoryView":1203
+ *         for idx in range(ndim - 1, -1, -1):
+ *             strides[idx] = stride
+ *             stride *= shape[idx]             # <<<<<<<<<<<<<<
+ * 
+ *     return stride
+ */
+      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
+    }
+  }
+  __pyx_L3:;
+
+  /* "View.MemoryView":1205
+ *             stride *= shape[idx]
+ * 
+ *     return stride             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_memoryview_copy_data_to_temp')
+ */
+  __pyx_r = __pyx_v_stride;
+  goto __pyx_L0;
+
+  /* "View.MemoryView":1187
+ * 
+ * @cname('__pyx_fill_contig_strides_array')
+ * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
+ *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
+ *                 int ndim, char order) nogil:
+ */
+
+  /* function exit code */
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+/* "View.MemoryView":1208
+ * 
+ * @cname('__pyx_memoryview_copy_data_to_temp')
+ * cdef void *copy_data_to_temp(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
+ *                              __Pyx_memviewslice *tmpslice,
+ *                              char order,
+ */
+
+static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_tmpslice, char __pyx_v_order, int __pyx_v_ndim) {
+  int __pyx_v_i;
+  void *__pyx_v_result;
+  size_t __pyx_v_itemsize;
+  size_t __pyx_v_size;
+  void *__pyx_r;
+  Py_ssize_t __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  struct __pyx_memoryview_obj *__pyx_t_4;
+  int __pyx_t_5;
+  int __pyx_t_6;
+  int __pyx_lineno = 0;
+  const char *__pyx_filename = NULL;
+  int __pyx_clineno = 0;
+
+  /* "View.MemoryView":1219
+ *     cdef void *result
+ * 
+ *     cdef size_t itemsize = src.memview.view.itemsize             # <<<<<<<<<<<<<<
+ *     cdef size_t size = slice_get_size(src, ndim)
+ * 
+ */
+  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
+  __pyx_v_itemsize = __pyx_t_1;
+
+  /* "View.MemoryView":1220
+ * 
+ *     cdef size_t itemsize = src.memview.view.itemsize
+ *     cdef size_t size = slice_get_size(src, ndim)             # <<<<<<<<<<<<<<
+ * 
+ *     result = malloc(size)
+ */
+  __pyx_v_size = __pyx_memoryview_slice_get_size(__pyx_v_src, __pyx_v_ndim);
+
+  /* "View.MemoryView":1222
+ *     cdef size_t size = slice_get_size(src, ndim)
+ * 
+ *     result = malloc(size)             # <<<<<<<<<<<<<<
+ *     if not result:
+ *         _err(MemoryError, NULL)
+ */
+  __pyx_v_result = malloc(__pyx_v_size);
+
+  /* "View.MemoryView":1223
+ * 
+ *     result = malloc(size)
+ *     if not result:             # <<<<<<<<<<<<<<
+ *         _err(MemoryError, NULL)
+ * 
+ */
+  __pyx_t_2 = ((!(__pyx_v_result != 0)) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":1224
+ *     result = malloc(size)
+ *     if not result:
+ *         _err(MemoryError, NULL)             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
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+
+    /* "View.MemoryView":1223
+ * 
+ *     result = malloc(size)
+ *     if not result:             # <<<<<<<<<<<<<<
+ *         _err(MemoryError, NULL)
+ * 
+ */
+  }
+
+  /* "View.MemoryView":1227
+ * 
+ * 
+ *     tmpslice.data = <char *> result             # <<<<<<<<<<<<<<
+ *     tmpslice.memview = src.memview
+ *     for i in range(ndim):
+ */
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+
+  /* "View.MemoryView":1228
+ * 
+ *     tmpslice.data = <char *> result
+ *     tmpslice.memview = src.memview             # <<<<<<<<<<<<<<
+ *     for i in range(ndim):
+ *         tmpslice.shape[i] = src.shape[i]
+ */
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+  /* "View.MemoryView":1229
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+ *     tmpslice.memview = src.memview
+ *     for i in range(ndim):             # <<<<<<<<<<<<<<
+ *         tmpslice.shape[i] = src.shape[i]
+ *         tmpslice.suboffsets[i] = -1
+ */
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+    __pyx_v_i = __pyx_t_6;
+
+    /* "View.MemoryView":1230
+ *     tmpslice.memview = src.memview
+ *     for i in range(ndim):
+ *         tmpslice.shape[i] = src.shape[i]             # <<<<<<<<<<<<<<
+ *         tmpslice.suboffsets[i] = -1
+ * 
+ */
+    (__pyx_v_tmpslice->shape[__pyx_v_i]) = (__pyx_v_src->shape[__pyx_v_i]);
+
+    /* "View.MemoryView":1231
+ *     for i in range(ndim):
+ *         tmpslice.shape[i] = src.shape[i]
+ *         tmpslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
+ * 
+ *     fill_contig_strides_array(&tmpslice.shape[0], &tmpslice.strides[0], itemsize,
+ */
+    (__pyx_v_tmpslice->suboffsets[__pyx_v_i]) = -1L;
+  }
+
+  /* "View.MemoryView":1233
+ *         tmpslice.suboffsets[i] = -1
+ * 
+ *     fill_contig_strides_array(&tmpslice.shape[0], &tmpslice.strides[0], itemsize,             # <<<<<<<<<<<<<<
+ *                               ndim, order)
+ * 
+ */
+  (void)(__pyx_fill_contig_strides_array((&(__pyx_v_tmpslice->shape[0])), (&(__pyx_v_tmpslice->strides[0])), __pyx_v_itemsize, __pyx_v_ndim, __pyx_v_order));
+
+  /* "View.MemoryView":1237
+ * 
+ * 
+ *     for i in range(ndim):             # <<<<<<<<<<<<<<
+ *         if tmpslice.shape[i] == 1:
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+ */
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+  __pyx_t_5 = __pyx_t_3;
+  for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
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+
+    /* "View.MemoryView":1238
+ * 
+ *     for i in range(ndim):
+ *         if tmpslice.shape[i] == 1:             # <<<<<<<<<<<<<<
+ *             tmpslice.strides[i] = 0
+ * 
+ */
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+
+      /* "View.MemoryView":1239
+ *     for i in range(ndim):
+ *         if tmpslice.shape[i] == 1:
+ *             tmpslice.strides[i] = 0             # <<<<<<<<<<<<<<
+ * 
+ *     if slice_is_contig(src[0], order, ndim):
+ */
+      (__pyx_v_tmpslice->strides[__pyx_v_i]) = 0;
+
+      /* "View.MemoryView":1238
+ * 
+ *     for i in range(ndim):
+ *         if tmpslice.shape[i] == 1:             # <<<<<<<<<<<<<<
+ *             tmpslice.strides[i] = 0
+ * 
+ */
+    }
+  }
+
+  /* "View.MemoryView":1241
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+ * 
+ *     if slice_is_contig(src[0], order, ndim):             # <<<<<<<<<<<<<<
+ *         memcpy(result, src.data, size)
+ *     else:
+ */
+  __pyx_t_2 = (__pyx_memviewslice_is_contig((__pyx_v_src[0]), __pyx_v_order, __pyx_v_ndim) != 0);
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+ */
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+ * 
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+ */
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+ * 
+ */
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+    /* "View.MemoryView":1287
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+ */
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+    __pyx_v_src = __pyx_v_tmp;
+
+    /* "View.MemoryView":1302
+ *             _err_dim(ValueError, "Dimension %d is not direct", i)
+ * 
+ *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
+ * 
+ *         if not slice_is_contig(src, order, ndim):
+ */
+  }
+
+  /* "View.MemoryView":1310
+ *         src = tmp
+ * 
+ *     if not broadcasting:             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  __pyx_t_2 = ((!(__pyx_v_broadcasting != 0)) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":1313
+ * 
+ * 
+ *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):
+ */
+    __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'C', __pyx_v_ndim) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1314
+ * 
+ *         if slice_is_contig(src, 'C', ndim):
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)             # <<<<<<<<<<<<<<
+ *         elif slice_is_contig(src, 'F', ndim):
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ */
+      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'C', __pyx_v_ndim);
+
+      /* "View.MemoryView":1313
+ * 
+ * 
+ *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):
+ */
+      goto __pyx_L12;
+    }
+
+    /* "View.MemoryView":1315
+ *         if slice_is_contig(src, 'C', ndim):
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ * 
+ */
+    __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'F', __pyx_v_ndim) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1316
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)             # <<<<<<<<<<<<<<
+ * 
+ *         if direct_copy:
+ */
+      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'F', __pyx_v_ndim);
+
+      /* "View.MemoryView":1315
+ *         if slice_is_contig(src, 'C', ndim):
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ * 
+ */
+    }
+    __pyx_L12:;
+
+    /* "View.MemoryView":1318
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ * 
+ *         if direct_copy:             # <<<<<<<<<<<<<<
+ * 
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)
+ */
+    __pyx_t_2 = (__pyx_v_direct_copy != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1320
+ *         if direct_copy:
+ * 
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
+ *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)
+ */
+      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);
+
+      /* "View.MemoryView":1321
+ * 
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)
+ *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))             # <<<<<<<<<<<<<<
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)
+ *             free(tmpdata)
+ */
+      (void)(memcpy(__pyx_v_dst.data, __pyx_v_src.data, __pyx_memoryview_slice_get_size((&__pyx_v_src), __pyx_v_ndim)));
+
+      /* "View.MemoryView":1322
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)
+ *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
+ *             free(tmpdata)
+ *             return 0
+ */
+      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);
+
+      /* "View.MemoryView":1323
+ *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)
+ *             free(tmpdata)             # <<<<<<<<<<<<<<
+ *             return 0
+ * 
+ */
+      free(__pyx_v_tmpdata);
+
+      /* "View.MemoryView":1324
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)
+ *             free(tmpdata)
+ *             return 0             # <<<<<<<<<<<<<<
+ * 
+ *     if order == 'F' == get_best_order(&dst, ndim):
+ */
+      __pyx_r = 0;
+      goto __pyx_L0;
+
+      /* "View.MemoryView":1318
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ * 
+ *         if direct_copy:             # <<<<<<<<<<<<<<
+ * 
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)
+ */
+    }
+
+    /* "View.MemoryView":1310
+ *         src = tmp
+ * 
+ *     if not broadcasting:             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  }
+
+  /* "View.MemoryView":1326
+ *             return 0
+ * 
+ *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  __pyx_t_2 = (__pyx_v_order == 'F');
+  if (__pyx_t_2) {
+    __pyx_t_2 = ('F' == __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim));
+  }
+  __pyx_t_8 = (__pyx_t_2 != 0);
+  if (__pyx_t_8) {
+
+    /* "View.MemoryView":1329
+ * 
+ * 
+ *         transpose_memslice(&src)             # <<<<<<<<<<<<<<
+ *         transpose_memslice(&dst)
+ * 
+ */
+    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_src)); if (unlikely(__pyx_t_5 == ((int)0))) __PYX_ERR(1, 1329, __pyx_L1_error)
+
+    /* "View.MemoryView":1330
+ * 
+ *         transpose_memslice(&src)
+ *         transpose_memslice(&dst)             # <<<<<<<<<<<<<<
+ * 
+ *     refcount_copying(&dst, dtype_is_object, ndim, False)
+ */
+    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_dst)); if (unlikely(__pyx_t_5 == ((int)0))) __PYX_ERR(1, 1330, __pyx_L1_error)
+
+    /* "View.MemoryView":1326
+ *             return 0
+ * 
+ *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  }
+
+  /* "View.MemoryView":1332
+ *         transpose_memslice(&dst)
+ * 
+ *     refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
+ *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
+ *     refcount_copying(&dst, dtype_is_object, ndim, True)
+ */
+  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);
+
+  /* "View.MemoryView":1333
+ * 
+ *     refcount_copying(&dst, dtype_is_object, ndim, False)
+ *     copy_strided_to_strided(&src, &dst, ndim, itemsize)             # <<<<<<<<<<<<<<
+ *     refcount_copying(&dst, dtype_is_object, ndim, True)
+ * 
+ */
+  copy_strided_to_strided((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize);
+
+  /* "View.MemoryView":1334
+ *     refcount_copying(&dst, dtype_is_object, ndim, False)
+ *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
+ *     refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
+ * 
+ *     free(tmpdata)
+ */
+  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);
+
+  /* "View.MemoryView":1336
+ *     refcount_copying(&dst, dtype_is_object, ndim, True)
+ * 
+ *     free(tmpdata)             # <<<<<<<<<<<<<<
+ *     return 0
+ * 
+ */
+  free(__pyx_v_tmpdata);
+
+  /* "View.MemoryView":1337
+ * 
+ *     free(tmpdata)
+ *     return 0             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_memoryview_broadcast_leading')
+ */
+  __pyx_r = 0;
+  goto __pyx_L0;
+
+  /* "View.MemoryView":1268
+ * 
+ * @cname('__pyx_memoryview_copy_contents')
+ * cdef int memoryview_copy_contents(__Pyx_memviewslice src,             # <<<<<<<<<<<<<<
+ *                                   __Pyx_memviewslice dst,
+ *                                   int src_ndim, int dst_ndim,
+ */
+
+  /* function exit code */
+  __pyx_L1_error:;
+  {
+    #ifdef WITH_THREAD
+    PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
+    #endif
+    __Pyx_AddTraceback("View.MemoryView.memoryview_copy_contents", __pyx_clineno, __pyx_lineno, __pyx_filename);
+    #ifdef WITH_THREAD
+    __Pyx_PyGILState_Release(__pyx_gilstate_save);
+    #endif
+  }
+  __pyx_r = -1;
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+/* "View.MemoryView":1340
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+ * @cname('__pyx_memoryview_broadcast_leading')
+ * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
+ *                             int ndim,
+ *                             int ndim_other) nogil:
+ */
+
+static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim, int __pyx_v_ndim_other) {
+  int __pyx_v_i;
+  int __pyx_v_offset;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
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+  /* "View.MemoryView":1344
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+ *     cdef int offset = ndim_other - ndim             # <<<<<<<<<<<<<<
+ * 
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+ */
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+
+  /* "View.MemoryView":1346
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+ * 
+ *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
+ *         mslice.shape[i + offset] = mslice.shape[i]
+ *         mslice.strides[i + offset] = mslice.strides[i]
+ */
+  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1; __pyx_t_1-=1) {
+    __pyx_v_i = __pyx_t_1;
+
+    /* "View.MemoryView":1347
+ * 
+ *     for i in range(ndim - 1, -1, -1):
+ *         mslice.shape[i + offset] = mslice.shape[i]             # <<<<<<<<<<<<<<
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+ *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
+ */
+    (__pyx_v_mslice->shape[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->shape[__pyx_v_i]);
+
+    /* "View.MemoryView":1348
+ *     for i in range(ndim - 1, -1, -1):
+ *         mslice.shape[i + offset] = mslice.shape[i]
+ *         mslice.strides[i + offset] = mslice.strides[i]             # <<<<<<<<<<<<<<
+ *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
+ * 
+ */
+    (__pyx_v_mslice->strides[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->strides[__pyx_v_i]);
+
+    /* "View.MemoryView":1349
+ *         mslice.shape[i + offset] = mslice.shape[i]
+ *         mslice.strides[i + offset] = mslice.strides[i]
+ *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]             # <<<<<<<<<<<<<<
+ * 
+ *     for i in range(offset):
+ */
+    (__pyx_v_mslice->suboffsets[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->suboffsets[__pyx_v_i]);
+  }
+
+  /* "View.MemoryView":1351
+ *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
+ * 
+ *     for i in range(offset):             # <<<<<<<<<<<<<<
+ *         mslice.shape[i] = 1
+ *         mslice.strides[i] = mslice.strides[0]
+ */
+  __pyx_t_1 = __pyx_v_offset;
+  __pyx_t_2 = __pyx_t_1;
+  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
+    __pyx_v_i = __pyx_t_3;
+
+    /* "View.MemoryView":1352
+ * 
+ *     for i in range(offset):
+ *         mslice.shape[i] = 1             # <<<<<<<<<<<<<<
+ *         mslice.strides[i] = mslice.strides[0]
+ *         mslice.suboffsets[i] = -1
+ */
+    (__pyx_v_mslice->shape[__pyx_v_i]) = 1;
+
+    /* "View.MemoryView":1353
+ *     for i in range(offset):
+ *         mslice.shape[i] = 1
+ *         mslice.strides[i] = mslice.strides[0]             # <<<<<<<<<<<<<<
+ *         mslice.suboffsets[i] = -1
+ * 
+ */
+    (__pyx_v_mslice->strides[__pyx_v_i]) = (__pyx_v_mslice->strides[0]);
+
+    /* "View.MemoryView":1354
+ *         mslice.shape[i] = 1
+ *         mslice.strides[i] = mslice.strides[0]
+ *         mslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+    (__pyx_v_mslice->suboffsets[__pyx_v_i]) = -1L;
+  }
+
+  /* "View.MemoryView":1340
+ * 
+ * @cname('__pyx_memoryview_broadcast_leading')
+ * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
+ *                             int ndim,
+ *                             int ndim_other) nogil:
+ */
+
+  /* function exit code */
+}
+
+/* "View.MemoryView":1362
+ * 
+ * @cname('__pyx_memoryview_refcount_copying')
+ * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object,             # <<<<<<<<<<<<<<
+ *                            int ndim, bint inc) nogil:
+ * 
+ */
+
+static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_dtype_is_object, int __pyx_v_ndim, int __pyx_v_inc) {
+  int __pyx_t_1;
+
+  /* "View.MemoryView":1366
+ * 
+ * 
+ *     if dtype_is_object:             # <<<<<<<<<<<<<<
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+ *                                            dst.strides, ndim, inc)
+ */
+  __pyx_t_1 = (__pyx_v_dtype_is_object != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":1367
+ * 
+ *     if dtype_is_object:
+ *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,             # <<<<<<<<<<<<<<
+ *                                            dst.strides, ndim, inc)
+ * 
+ */
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+
+    /* "View.MemoryView":1366
+ * 
+ * 
+ *     if dtype_is_object:             # <<<<<<<<<<<<<<
+ *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,
+ *                                            dst.strides, ndim, inc)
+ */
+  }
+
+  /* "View.MemoryView":1362
+ * 
+ * @cname('__pyx_memoryview_refcount_copying')
+ * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object,             # <<<<<<<<<<<<<<
+ *                            int ndim, bint inc) nogil:
+ * 
+ */
+
+  /* function exit code */
+}
+
+/* "View.MemoryView":1371
+ * 
+ * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')
+ * cdef void refcount_objects_in_slice_with_gil(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
+ *                                              Py_ssize_t *strides, int ndim,
+ *                                              bint inc) with gil:
+ */
+
+static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {
+  __Pyx_RefNannyDeclarations
+  #ifdef WITH_THREAD
+  PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
+  #endif
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+ *                                              bint inc) with gil:
+ *     refcount_objects_in_slice(data, shape, strides, ndim, inc)             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_memoryview_refcount_objects_in_slice')
+ */
+  __pyx_memoryview_refcount_objects_in_slice(__pyx_v_data, __pyx_v_shape, __pyx_v_strides, __pyx_v_ndim, __pyx_v_inc);
+
+  /* "View.MemoryView":1371
+ * 
+ * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')
+ * cdef void refcount_objects_in_slice_with_gil(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
+ *                                              Py_ssize_t *strides, int ndim,
+ *                                              bint inc) with gil:
+ */
+
+  /* function exit code */
+  __Pyx_RefNannyFinishContext();
+  #ifdef WITH_THREAD
+  __Pyx_PyGILState_Release(__pyx_gilstate_save);
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+ * @cname('__pyx_memoryview_refcount_objects_in_slice')
+ * cdef void refcount_objects_in_slice(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
+ *                                     Py_ssize_t *strides, int ndim, bint inc):
+ *     cdef Py_ssize_t i
+ */
+
+static void __pyx_memoryview_refcount_objects_in_slice(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {
+  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
+  __Pyx_RefNannyDeclarations
+  Py_ssize_t __pyx_t_1;
+  Py_ssize_t __pyx_t_2;
+  Py_ssize_t __pyx_t_3;
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+ *         if ndim == 1:
+ *             if inc:
+ */
+  __pyx_t_1 = (__pyx_v_shape[0]);
+  __pyx_t_2 = __pyx_t_1;
+  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
+    __pyx_v_i = __pyx_t_3;
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+    __pyx_t_4 = ((__pyx_v_ndim == 1) != 0);
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+      /* "View.MemoryView":1383
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+ *         if ndim == 1:
+ *             if inc:             # <<<<<<<<<<<<<<
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+ *                 Py_INCREF((<PyObject **> data)[0])             # <<<<<<<<<<<<<<
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+ *                 Py_INCREF((<PyObject **> data)[0])
+ *             else:
+ */
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+      }
+
+      /* "View.MemoryView":1386
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+ *                 Py_DECREF((<PyObject **> data)[0])             # <<<<<<<<<<<<<<
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+ *             refcount_objects_in_slice(data, shape + 1, strides + 1,
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+      }
+      __pyx_L6:;
+
+      /* "View.MemoryView":1382
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+  0, /*tp_richcompare*/
+  0, /*tp_weaklistoffset*/
+  0, /*tp_iter*/
+  0, /*tp_iternext*/
+  __pyx_methods_Enum, /*tp_methods*/
+  0, /*tp_members*/
+  0, /*tp_getset*/
+  0, /*tp_base*/
+  0, /*tp_dict*/
+  0, /*tp_descr_get*/
+  0, /*tp_descr_set*/
+  0, /*tp_dictoffset*/
+  __pyx_MemviewEnum___init__, /*tp_init*/
+  0, /*tp_alloc*/
+  __pyx_tp_new_Enum, /*tp_new*/
+  0, /*tp_free*/
+  0, /*tp_is_gc*/
+  0, /*tp_bases*/
+  0, /*tp_mro*/
+  0, /*tp_cache*/
+  0, /*tp_subclasses*/
+  0, /*tp_weaklist*/
+  0, /*tp_del*/
+  0, /*tp_version_tag*/
+  #if PY_VERSION_HEX >= 0x030400a1
+  0, /*tp_finalize*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b1
+  0, /*tp_vectorcall*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
+  0, /*tp_print*/
+  #endif
+};
+static struct __pyx_vtabstruct_memoryview __pyx_vtable_memoryview;
+
+static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k) {
+  struct __pyx_memoryview_obj *p;
+  PyObject *o;
+  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
+    o = (*t->tp_alloc)(t, 0);
+  } else {
+    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
+  }
+  if (unlikely(!o)) return 0;
+  p = ((struct __pyx_memoryview_obj *)o);
+  p->__pyx_vtab = __pyx_vtabptr_memoryview;
+  p->obj = Py_None; Py_INCREF(Py_None);
+  p->_size = Py_None; Py_INCREF(Py_None);
+  p->_array_interface = Py_None; Py_INCREF(Py_None);
+  p->view.obj = NULL;
+  if (unlikely(__pyx_memoryview___cinit__(o, a, k) < 0)) goto bad;
+  return o;
+  bad:
+  Py_DECREF(o); o = 0;
+  return NULL;
+}
+
+static void __pyx_tp_dealloc_memoryview(PyObject *o) {
+  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
+  #if CYTHON_USE_TP_FINALIZE
+  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
+    if (PyObject_CallFinalizerFromDealloc(o)) return;
+  }
+  #endif
+  PyObject_GC_UnTrack(o);
+  {
+    PyObject *etype, *eval, *etb;
+    PyErr_Fetch(&etype, &eval, &etb);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
+    __pyx_memoryview___dealloc__(o);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
+    PyErr_Restore(etype, eval, etb);
+  }
+  Py_CLEAR(p->obj);
+  Py_CLEAR(p->_size);
+  Py_CLEAR(p->_array_interface);
+  (*Py_TYPE(o)->tp_free)(o);
+}
+
+static int __pyx_tp_traverse_memoryview(PyObject *o, visitproc v, void *a) {
+  int e;
+  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
+  if (p->obj) {
+    e = (*v)(p->obj, a); if (e) return e;
+  }
+  if (p->_size) {
+    e = (*v)(p->_size, a); if (e) return e;
+  }
+  if (p->_array_interface) {
+    e = (*v)(p->_array_interface, a); if (e) return e;
+  }
+  if (p->view.obj) {
+    e = (*v)(p->view.obj, a); if (e) return e;
+  }
+  return 0;
+}
+
+static int __pyx_tp_clear_memoryview(PyObject *o) {
+  PyObject* tmp;
+  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
+  tmp = ((PyObject*)p->obj);
+  p->obj = Py_None; Py_INCREF(Py_None);
+  Py_XDECREF(tmp);
+  tmp = ((PyObject*)p->_size);
+  p->_size = Py_None; Py_INCREF(Py_None);
+  Py_XDECREF(tmp);
+  tmp = ((PyObject*)p->_array_interface);
+  p->_array_interface = Py_None; Py_INCREF(Py_None);
+  Py_XDECREF(tmp);
+  Py_CLEAR(p->view.obj);
+  return 0;
+}
+static PyObject *__pyx_sq_item_memoryview(PyObject *o, Py_ssize_t i) {
+  PyObject *r;
+  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
+  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
+  Py_DECREF(x);
+  return r;
+}
+
+static int __pyx_mp_ass_subscript_memoryview(PyObject *o, PyObject *i, PyObject *v) {
+  if (v) {
+    return __pyx_memoryview___setitem__(o, i, v);
+  }
+  else {
+    PyErr_Format(PyExc_NotImplementedError,
+      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
+    return -1;
+  }
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_T(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_1T_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_base(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_4base_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_shape(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_5shape_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_strides(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_7strides_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_suboffsets(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_10suboffsets_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_ndim(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_4ndim_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_itemsize(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_8itemsize_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_nbytes(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_6nbytes_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_size(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_4size_1__get__(o);
+}
+
+static PyMethodDef __pyx_methods_memoryview[] = {
+  {"is_c_contig", (PyCFunction)__pyx_memoryview_is_c_contig, METH_NOARGS, 0},
+  {"is_f_contig", (PyCFunction)__pyx_memoryview_is_f_contig, METH_NOARGS, 0},
+  {"copy", (PyCFunction)__pyx_memoryview_copy, METH_NOARGS, 0},
+  {"copy_fortran", (PyCFunction)__pyx_memoryview_copy_fortran, METH_NOARGS, 0},
+  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_1__reduce_cython__, METH_NOARGS, 0},
+  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_3__setstate_cython__, METH_O, 0},
+  {0, 0, 0, 0}
+};
+
+static struct PyGetSetDef __pyx_getsets_memoryview[] = {
+  {(char *)"T", __pyx_getprop___pyx_memoryview_T, 0, (char *)0, 0},
+  {(char *)"base", __pyx_getprop___pyx_memoryview_base, 0, (char *)0, 0},
+  {(char *)"shape", __pyx_getprop___pyx_memoryview_shape, 0, (char *)0, 0},
+  {(char *)"strides", __pyx_getprop___pyx_memoryview_strides, 0, (char *)0, 0},
+  {(char *)"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, (char *)0, 0},
+  {(char *)"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, (char *)0, 0},
+  {(char *)"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, (char *)0, 0},
+  {(char *)"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, (char *)0, 0},
+  {(char *)"size", __pyx_getprop___pyx_memoryview_size, 0, (char *)0, 0},
+  {0, 0, 0, 0, 0}
+};
+
+static PySequenceMethods __pyx_tp_as_sequence_memoryview = {
+  __pyx_memoryview___len__, /*sq_length*/
+  0, /*sq_concat*/
+  0, /*sq_repeat*/
+  __pyx_sq_item_memoryview, /*sq_item*/
+  0, /*sq_slice*/
+  0, /*sq_ass_item*/
+  0, /*sq_ass_slice*/
+  0, /*sq_contains*/
+  0, /*sq_inplace_concat*/
+  0, /*sq_inplace_repeat*/
+};
+
+static PyMappingMethods __pyx_tp_as_mapping_memoryview = {
+  __pyx_memoryview___len__, /*mp_length*/
+  __pyx_memoryview___getitem__, /*mp_subscript*/
+  __pyx_mp_ass_subscript_memoryview, /*mp_ass_subscript*/
+};
+
+static PyBufferProcs __pyx_tp_as_buffer_memoryview = {
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getreadbuffer*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getwritebuffer*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getsegcount*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getcharbuffer*/
+  #endif
+  __pyx_memoryview_getbuffer, /*bf_getbuffer*/
+  0, /*bf_releasebuffer*/
+};
+
+static PyTypeObject __pyx_type___pyx_memoryview = {
+  PyVarObject_HEAD_INIT(0, 0)
+  "dense.memoryview", /*tp_name*/
+  sizeof(struct __pyx_memoryview_obj), /*tp_basicsize*/
+  0, /*tp_itemsize*/
+  __pyx_tp_dealloc_memoryview, /*tp_dealloc*/
+  #if PY_VERSION_HEX < 0x030800b4
+  0, /*tp_print*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4
+  0, /*tp_vectorcall_offset*/
+  #endif
+  0, /*tp_getattr*/
+  0, /*tp_setattr*/
+  #if PY_MAJOR_VERSION < 3
+  0, /*tp_compare*/
+  #endif
+  #if PY_MAJOR_VERSION >= 3
+  0, /*tp_as_async*/
+  #endif
+  __pyx_memoryview___repr__, /*tp_repr*/
+  0, /*tp_as_number*/
+  &__pyx_tp_as_sequence_memoryview, /*tp_as_sequence*/
+  &__pyx_tp_as_mapping_memoryview, /*tp_as_mapping*/
+  0, /*tp_hash*/
+  0, /*tp_call*/
+  __pyx_memoryview___str__, /*tp_str*/
+  0, /*tp_getattro*/
+  0, /*tp_setattro*/
+  &__pyx_tp_as_buffer_memoryview, /*tp_as_buffer*/
+  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
+  0, /*tp_doc*/
+  __pyx_tp_traverse_memoryview, /*tp_traverse*/
+  __pyx_tp_clear_memoryview, /*tp_clear*/
+  0, /*tp_richcompare*/
+  0, /*tp_weaklistoffset*/
+  0, /*tp_iter*/
+  0, /*tp_iternext*/
+  __pyx_methods_memoryview, /*tp_methods*/
+  0, /*tp_members*/
+  __pyx_getsets_memoryview, /*tp_getset*/
+  0, /*tp_base*/
+  0, /*tp_dict*/
+  0, /*tp_descr_get*/
+  0, /*tp_descr_set*/
+  0, /*tp_dictoffset*/
+  0, /*tp_init*/
+  0, /*tp_alloc*/
+  __pyx_tp_new_memoryview, /*tp_new*/
+  0, /*tp_free*/
+  0, /*tp_is_gc*/
+  0, /*tp_bases*/
+  0, /*tp_mro*/
+  0, /*tp_cache*/
+  0, /*tp_subclasses*/
+  0, /*tp_weaklist*/
+  0, /*tp_del*/
+  0, /*tp_version_tag*/
+  #if PY_VERSION_HEX >= 0x030400a1
+  0, /*tp_finalize*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b1
+  0, /*tp_vectorcall*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
+  0, /*tp_print*/
+  #endif
+};
+static struct __pyx_vtabstruct__memoryviewslice __pyx_vtable__memoryviewslice;
+
+static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k) {
+  struct __pyx_memoryviewslice_obj *p;
+  PyObject *o = __pyx_tp_new_memoryview(t, a, k);
+  if (unlikely(!o)) return 0;
+  p = ((struct __pyx_memoryviewslice_obj *)o);
+  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_memoryview*)__pyx_vtabptr__memoryviewslice;
+  p->from_object = Py_None; Py_INCREF(Py_None);
+  p->from_slice.memview = NULL;
+  return o;
+}
+
+static void __pyx_tp_dealloc__memoryviewslice(PyObject *o) {
+  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
+  #if CYTHON_USE_TP_FINALIZE
+  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
+    if (PyObject_CallFinalizerFromDealloc(o)) return;
+  }
+  #endif
+  PyObject_GC_UnTrack(o);
+  {
+    PyObject *etype, *eval, *etb;
+    PyErr_Fetch(&etype, &eval, &etb);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
+    __pyx_memoryviewslice___dealloc__(o);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
+    PyErr_Restore(etype, eval, etb);
+  }
+  Py_CLEAR(p->from_object);
+  PyObject_GC_Track(o);
+  __pyx_tp_dealloc_memoryview(o);
+}
+
+static int __pyx_tp_traverse__memoryviewslice(PyObject *o, visitproc v, void *a) {
+  int e;
+  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
+  e = __pyx_tp_traverse_memoryview(o, v, a); if (e) return e;
+  if (p->from_object) {
+    e = (*v)(p->from_object, a); if (e) return e;
+  }
+  return 0;
+}
+
+static int __pyx_tp_clear__memoryviewslice(PyObject *o) {
+  PyObject* tmp;
+  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
+  __pyx_tp_clear_memoryview(o);
+  tmp = ((PyObject*)p->from_object);
+  p->from_object = Py_None; Py_INCREF(Py_None);
+  Py_XDECREF(tmp);
+  __PYX_XDEC_MEMVIEW(&p->from_slice, 1);
+  return 0;
+}
+
+static PyObject *__pyx_getprop___pyx_memoryviewslice_base(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_16_memoryviewslice_4base_1__get__(o);
+}
+
+static PyMethodDef __pyx_methods__memoryviewslice[] = {
+  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_1__reduce_cython__, METH_NOARGS, 0},
+  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_3__setstate_cython__, METH_O, 0},
+  {0, 0, 0, 0}
+};
+
+static struct PyGetSetDef __pyx_getsets__memoryviewslice[] = {
+  {(char *)"base", __pyx_getprop___pyx_memoryviewslice_base, 0, (char *)0, 0},
+  {0, 0, 0, 0, 0}
+};
+
+static PyTypeObject __pyx_type___pyx_memoryviewslice = {
+  PyVarObject_HEAD_INIT(0, 0)
+  "dense._memoryviewslice", /*tp_name*/
+  sizeof(struct __pyx_memoryviewslice_obj), /*tp_basicsize*/
+  0, /*tp_itemsize*/
+  __pyx_tp_dealloc__memoryviewslice, /*tp_dealloc*/
+  #if PY_VERSION_HEX < 0x030800b4
+  0, /*tp_print*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4
+  0, /*tp_vectorcall_offset*/
+  #endif
+  0, /*tp_getattr*/
+  0, /*tp_setattr*/
+  #if PY_MAJOR_VERSION < 3
+  0, /*tp_compare*/
+  #endif
+  #if PY_MAJOR_VERSION >= 3
+  0, /*tp_as_async*/
+  #endif
+  #if CYTHON_COMPILING_IN_PYPY
+  __pyx_memoryview___repr__, /*tp_repr*/
+  #else
+  0, /*tp_repr*/
+  #endif
+  0, /*tp_as_number*/
+  0, /*tp_as_sequence*/
+  0, /*tp_as_mapping*/
+  0, /*tp_hash*/
+  0, /*tp_call*/
+  #if CYTHON_COMPILING_IN_PYPY
+  __pyx_memoryview___str__, /*tp_str*/
+  #else
+  0, /*tp_str*/
+  #endif
+  0, /*tp_getattro*/
+  0, /*tp_setattro*/
+  0, /*tp_as_buffer*/
+  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
+  "Internal class for passing memoryview slices to Python", /*tp_doc*/
+  __pyx_tp_traverse__memoryviewslice, /*tp_traverse*/
+  __pyx_tp_clear__memoryviewslice, /*tp_clear*/
+  0, /*tp_richcompare*/
+  0, /*tp_weaklistoffset*/
+  0, /*tp_iter*/
+  0, /*tp_iternext*/
+  __pyx_methods__memoryviewslice, /*tp_methods*/
+  0, /*tp_members*/
+  __pyx_getsets__memoryviewslice, /*tp_getset*/
+  0, /*tp_base*/
+  0, /*tp_dict*/
+  0, /*tp_descr_get*/
+  0, /*tp_descr_set*/
+  0, /*tp_dictoffset*/
+  0, /*tp_init*/
+  0, /*tp_alloc*/
+  __pyx_tp_new__memoryviewslice, /*tp_new*/
+  0, /*tp_free*/
+  0, /*tp_is_gc*/
+  0, /*tp_bases*/
+  0, /*tp_mro*/
+  0, /*tp_cache*/
+  0, /*tp_subclasses*/
+  0, /*tp_weaklist*/
+  0, /*tp_del*/
+  0, /*tp_version_tag*/
+  #if PY_VERSION_HEX >= 0x030400a1
+  0, /*tp_finalize*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b1
+  0, /*tp_vectorcall*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
+  0, /*tp_print*/
+  #endif
+};
+
+static PyMethodDef __pyx_methods[] = {
+  {"ttcDense", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5dense_1ttcDense, METH_VARARGS|METH_KEYWORDS, 0},
+  {"ttcDense_int", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5dense_3ttcDense_int, METH_VARARGS|METH_KEYWORDS, 0},
+  {"ttcDenseSymmNorm", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5dense_5ttcDenseSymmNorm, METH_VARARGS|METH_KEYWORDS, 0},
+  {0, 0, 0, 0}
+};
+
+#if PY_MAJOR_VERSION >= 3
+#if CYTHON_PEP489_MULTI_PHASE_INIT
+static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def); /*proto*/
+static int __pyx_pymod_exec_dense(PyObject* module); /*proto*/
+static PyModuleDef_Slot __pyx_moduledef_slots[] = {
+  {Py_mod_create, (void*)__pyx_pymod_create},
+  {Py_mod_exec, (void*)__pyx_pymod_exec_dense},
+  {0, NULL}
+};
+#endif
+
+static struct PyModuleDef __pyx_moduledef = {
+    PyModuleDef_HEAD_INIT,
+    "dense",
+    0, /* m_doc */
+  #if CYTHON_PEP489_MULTI_PHASE_INIT
+    0, /* m_size */
+  #else
+    -1, /* m_size */
+  #endif
+    __pyx_methods /* m_methods */,
+  #if CYTHON_PEP489_MULTI_PHASE_INIT
+    __pyx_moduledef_slots, /* m_slots */
+  #else
+    NULL, /* m_reload */
+  #endif
+    NULL, /* m_traverse */
+    NULL, /* m_clear */
+    NULL /* m_free */
+};
+#endif
+#ifndef CYTHON_SMALL_CODE
+#if defined(__clang__)
+    #define CYTHON_SMALL_CODE
+#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
+    #define CYTHON_SMALL_CODE __attribute__((cold))
+#else
+    #define CYTHON_SMALL_CODE
+#endif
+#endif
+
+static __Pyx_StringTabEntry __pyx_string_tab[] = {
+  {&__pyx_n_s_ASCII, __pyx_k_ASCII, sizeof(__pyx_k_ASCII), 0, 0, 1, 1},
+  {&__pyx_kp_s_Buffer_view_does_not_expose_stri, __pyx_k_Buffer_view_does_not_expose_stri, sizeof(__pyx_k_Buffer_view_does_not_expose_stri), 0, 0, 1, 0},
+  {&__pyx_kp_s_Can_only_create_a_buffer_that_is, __pyx_k_Can_only_create_a_buffer_that_is, sizeof(__pyx_k_Can_only_create_a_buffer_that_is), 0, 0, 1, 0},
+  {&__pyx_kp_s_Cannot_assign_to_read_only_memor, __pyx_k_Cannot_assign_to_read_only_memor, sizeof(__pyx_k_Cannot_assign_to_read_only_memor), 0, 0, 1, 0},
+  {&__pyx_kp_s_Cannot_create_writable_memory_vi, __pyx_k_Cannot_create_writable_memory_vi, sizeof(__pyx_k_Cannot_create_writable_memory_vi), 0, 0, 1, 0},
+  {&__pyx_kp_s_Cannot_index_with_type_s, __pyx_k_Cannot_index_with_type_s, sizeof(__pyx_k_Cannot_index_with_type_s), 0, 0, 1, 0},
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+}
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+#define __Pyx_PyMODINIT_FUNC PyMODINIT_FUNC
+#elif PY_MAJOR_VERSION < 3
+#ifdef __cplusplus
+#define __Pyx_PyMODINIT_FUNC extern "C" void
+#else
+#define __Pyx_PyMODINIT_FUNC void
+#endif
+#else
+#ifdef __cplusplus
+#define __Pyx_PyMODINIT_FUNC extern "C" PyObject *
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+#define __Pyx_PyMODINIT_FUNC PyObject *
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+}
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+}
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+    if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "parent", "__package__", 1) < 0)) goto bad;
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+}
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+    assert(nargs >= 0);
+    assert(nargs == 0 || args != NULL);
+    /* _PyCFunction_FastCallDict() must not be called with an exception set,
+       because it may clear it (directly or indirectly) and so the
+       caller loses its exception */
+    assert(!PyErr_Occurred());
+    if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
+        return (*((__Pyx_PyCFunctionFastWithKeywords)(void*)meth)) (self, args, nargs, NULL);
+    } else {
+        return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs);
+    }
+}
+#endif
+
+/* PyFunctionFastCall */
+#if CYTHON_FAST_PYCALL
+static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
+                                               PyObject *globals) {
+    PyFrameObject *f;
+    PyThreadState *tstate = __Pyx_PyThreadState_Current;
+    PyObject **fastlocals;
+    Py_ssize_t i;
+    PyObject *result;
+    assert(globals != NULL);
+    /* XXX Perhaps we should create a specialized
+       PyFrame_New() that doesn't take locals, but does
+       take builtins without sanity checking them.
+       */
+    assert(tstate != NULL);
+    f = PyFrame_New(tstate, co, globals, NULL);
+    if (f == NULL) {
+        return NULL;
+    }
+    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
+    for (i = 0; i < na; i++) {
+        Py_INCREF(*args);
+        fastlocals[i] = *args++;
+    }
+    result = PyEval_EvalFrameEx(f,0);
+    ++tstate->recursion_depth;
+    Py_DECREF(f);
+    --tstate->recursion_depth;
+    return result;
+}
+#if 1 || PY_VERSION_HEX < 0x030600B1
+static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
+    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
+    PyObject *globals = PyFunction_GET_GLOBALS(func);
+    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
+    PyObject *closure;
+#if PY_MAJOR_VERSION >= 3
+    PyObject *kwdefs;
+#endif
+    PyObject *kwtuple, **k;
+    PyObject **d;
+    Py_ssize_t nd;
+    Py_ssize_t nk;
+    PyObject *result;
+    assert(kwargs == NULL || PyDict_Check(kwargs));
+    nk = kwargs ? PyDict_Size(kwargs) : 0;
+    if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
+        return NULL;
+    }
+    if (
+#if PY_MAJOR_VERSION >= 3
+            co->co_kwonlyargcount == 0 &&
+#endif
+            likely(kwargs == NULL || nk == 0) &&
+            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
+        if (argdefs == NULL && co->co_argcount == nargs) {
+            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
+            goto done;
+        }
+        else if (nargs == 0 && argdefs != NULL
+                 && co->co_argcount == Py_SIZE(argdefs)) {
+            /* function called with no arguments, but all parameters have
+               a default value: use default values as arguments .*/
+            args = &PyTuple_GET_ITEM(argdefs, 0);
+            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
+            goto done;
+        }
+    }
+    if (kwargs != NULL) {
+        Py_ssize_t pos, i;
+        kwtuple = PyTuple_New(2 * nk);
+        if (kwtuple == NULL) {
+            result = NULL;
+            goto done;
+        }
+        k = &PyTuple_GET_ITEM(kwtuple, 0);
+        pos = i = 0;
+        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
+            Py_INCREF(k[i]);
+            Py_INCREF(k[i+1]);
+            i += 2;
+        }
+        nk = i / 2;
+    }
+    else {
+        kwtuple = NULL;
+        k = NULL;
+    }
+    closure = PyFunction_GET_CLOSURE(func);
+#if PY_MAJOR_VERSION >= 3
+    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
+#endif
+    if (argdefs != NULL) {
+        d = &PyTuple_GET_ITEM(argdefs, 0);
+        nd = Py_SIZE(argdefs);
+    }
+    else {
+        d = NULL;
+        nd = 0;
+    }
+#if PY_MAJOR_VERSION >= 3
+    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
+                               args, (int)nargs,
+                               k, (int)nk,
+                               d, (int)nd, kwdefs, closure);
+#else
+    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
+                               args, (int)nargs,
+                               k, (int)nk,
+                               d, (int)nd, closure);
+#endif
+    Py_XDECREF(kwtuple);
+done:
+    Py_LeaveRecursiveCall();
+    return result;
+}
+#endif
+#endif
+
+/* PyObjectCall2Args */
+static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
+    PyObject *args, *result = NULL;
+    #if CYTHON_FAST_PYCALL
+    if (PyFunction_Check(function)) {
+        PyObject *args[2] = {arg1, arg2};
+        return __Pyx_PyFunction_FastCall(function, args, 2);
+    }
+    #endif
+    #if CYTHON_FAST_PYCCALL
+    if (__Pyx_PyFastCFunction_Check(function)) {
+        PyObject *args[2] = {arg1, arg2};
+        return __Pyx_PyCFunction_FastCall(function, args, 2);
+    }
+    #endif
+    args = PyTuple_New(2);
+    if (unlikely(!args)) goto done;
+    Py_INCREF(arg1);
+    PyTuple_SET_ITEM(args, 0, arg1);
+    Py_INCREF(arg2);
+    PyTuple_SET_ITEM(args, 1, arg2);
+    Py_INCREF(function);
+    result = __Pyx_PyObject_Call(function, args, NULL);
+    Py_DECREF(args);
+    Py_DECREF(function);
+done:
+    return result;
+}
+
+/* PyObjectCallMethO */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
+    PyObject *self, *result;
+    PyCFunction cfunc;
+    cfunc = PyCFunction_GET_FUNCTION(func);
+    self = PyCFunction_GET_SELF(func);
+    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
+        return NULL;
+    result = cfunc(self, arg);
+    Py_LeaveRecursiveCall();
+    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
+        PyErr_SetString(
+            PyExc_SystemError,
+            "NULL result without error in PyObject_Call");
+    }
+    return result;
+}
+#endif
+
+/* PyObjectCallOneArg */
+#if CYTHON_COMPILING_IN_CPYTHON
+static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
+    PyObject *result;
+    PyObject *args = PyTuple_New(1);
+    if (unlikely(!args)) return NULL;
+    Py_INCREF(arg);
+    PyTuple_SET_ITEM(args, 0, arg);
+    result = __Pyx_PyObject_Call(func, args, NULL);
+    Py_DECREF(args);
+    return result;
+}
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
+#if CYTHON_FAST_PYCALL
+    if (PyFunction_Check(func)) {
+        return __Pyx_PyFunction_FastCall(func, &arg, 1);
+    }
+#endif
+    if (likely(PyCFunction_Check(func))) {
+        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
+            return __Pyx_PyObject_CallMethO(func, arg);
+#if CYTHON_FAST_PYCCALL
+        } else if (__Pyx_PyFastCFunction_Check(func)) {
+            return __Pyx_PyCFunction_FastCall(func, &arg, 1);
+#endif
+        }
+    }
+    return __Pyx__PyObject_CallOneArg(func, arg);
+}
+#else
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
+    PyObject *result;
+    PyObject *args = PyTuple_Pack(1, arg);
+    if (unlikely(!args)) return NULL;
+    result = __Pyx_PyObject_Call(func, args, NULL);
+    Py_DECREF(args);
+    return result;
+}
+#endif
+
+/* PyObjectCallNoArg */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
+#if CYTHON_FAST_PYCALL
+    if (PyFunction_Check(func)) {
+        return __Pyx_PyFunction_FastCall(func, NULL, 0);
+    }
+#endif
+#ifdef __Pyx_CyFunction_USED
+    if (likely(PyCFunction_Check(func) || __Pyx_CyFunction_Check(func)))
+#else
+    if (likely(PyCFunction_Check(func)))
+#endif
+    {
+        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
+            return __Pyx_PyObject_CallMethO(func, NULL);
+        }
+    }
+    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
+}
+#endif
+
+/* MemviewSliceInit */
+static int
+__Pyx_init_memviewslice(struct __pyx_memoryview_obj *memview,
+                        int ndim,
+                        __Pyx_memviewslice *memviewslice,
+                        int memview_is_new_reference)
+{
+    __Pyx_RefNannyDeclarations
+    int i, retval=-1;
+    Py_buffer *buf = &memview->view;
+    __Pyx_RefNannySetupContext("init_memviewslice", 0);
+    if (unlikely(memviewslice->memview || memviewslice->data)) {
+        PyErr_SetString(PyExc_ValueError,
+            "memviewslice is already initialized!");
+        goto fail;
+    }
+    if (buf->strides) {
+        for (i = 0; i < ndim; i++) {
+            memviewslice->strides[i] = buf->strides[i];
+        }
+    } else {
+        Py_ssize_t stride = buf->itemsize;
+        for (i = ndim - 1; i >= 0; i--) {
+            memviewslice->strides[i] = stride;
+            stride *= buf->shape[i];
+        }
+    }
+    for (i = 0; i < ndim; i++) {
+        memviewslice->shape[i]   = buf->shape[i];
+        if (buf->suboffsets) {
+            memviewslice->suboffsets[i] = buf->suboffsets[i];
+        } else {
+            memviewslice->suboffsets[i] = -1;
+        }
+    }
+    memviewslice->memview = memview;
+    memviewslice->data = (char *)buf->buf;
+    if (__pyx_add_acquisition_count(memview) == 0 && !memview_is_new_reference) {
+        Py_INCREF(memview);
+    }
+    retval = 0;
+    goto no_fail;
+fail:
+    memviewslice->memview = 0;
+    memviewslice->data = 0;
+    retval = -1;
+no_fail:
+    __Pyx_RefNannyFinishContext();
+    return retval;
+}
+#ifndef Py_NO_RETURN
+#define Py_NO_RETURN
+#endif
+static void __pyx_fatalerror(const char *fmt, ...) Py_NO_RETURN {
+    va_list vargs;
+    char msg[200];
+#ifdef HAVE_STDARG_PROTOTYPES
+    va_start(vargs, fmt);
+#else
+    va_start(vargs);
+#endif
+    vsnprintf(msg, 200, fmt, vargs);
+    va_end(vargs);
+    Py_FatalError(msg);
+}
+static CYTHON_INLINE int
+__pyx_add_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
+                                   PyThread_type_lock lock)
+{
+    int result;
+    PyThread_acquire_lock(lock, 1);
+    result = (*acquisition_count)++;
+    PyThread_release_lock(lock);
+    return result;
+}
+static CYTHON_INLINE int
+__pyx_sub_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
+                                   PyThread_type_lock lock)
+{
+    int result;
+    PyThread_acquire_lock(lock, 1);
+    result = (*acquisition_count)--;
+    PyThread_release_lock(lock);
+    return result;
+}
+static CYTHON_INLINE void
+__Pyx_INC_MEMVIEW(__Pyx_memviewslice *memslice, int have_gil, int lineno)
+{
+    int first_time;
+    struct __pyx_memoryview_obj *memview = memslice->memview;
+    if (unlikely(!memview || (PyObject *) memview == Py_None))
+        return;
+    if (unlikely(__pyx_get_slice_count(memview) < 0))
+        __pyx_fatalerror("Acquisition count is %d (line %d)",
+                         __pyx_get_slice_count(memview), lineno);
+    first_time = __pyx_add_acquisition_count(memview) == 0;
+    if (unlikely(first_time)) {
+        if (have_gil) {
+            Py_INCREF((PyObject *) memview);
+        } else {
+            PyGILState_STATE _gilstate = PyGILState_Ensure();
+            Py_INCREF((PyObject *) memview);
+            PyGILState_Release(_gilstate);
+        }
+    }
+}
+static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *memslice,
+                                             int have_gil, int lineno) {
+    int last_time;
+    struct __pyx_memoryview_obj *memview = memslice->memview;
+    if (unlikely(!memview || (PyObject *) memview == Py_None)) {
+        memslice->memview = NULL;
+        return;
+    }
+    if (unlikely(__pyx_get_slice_count(memview) <= 0))
+        __pyx_fatalerror("Acquisition count is %d (line %d)",
+                         __pyx_get_slice_count(memview), lineno);
+    last_time = __pyx_sub_acquisition_count(memview) == 1;
+    memslice->data = NULL;
+    if (unlikely(last_time)) {
+        if (have_gil) {
+            Py_CLEAR(memslice->memview);
+        } else {
+            PyGILState_STATE _gilstate = PyGILState_Ensure();
+            Py_CLEAR(memslice->memview);
+            PyGILState_Release(_gilstate);
+        }
+    } else {
+        memslice->memview = NULL;
+    }
+}
+
+/* RaiseArgTupleInvalid */
+static void __Pyx_RaiseArgtupleInvalid(
+    const char* func_name,
+    int exact,
+    Py_ssize_t num_min,
+    Py_ssize_t num_max,
+    Py_ssize_t num_found)
+{
+    Py_ssize_t num_expected;
+    const char *more_or_less;
+    if (num_found < num_min) {
+        num_expected = num_min;
+        more_or_less = "at least";
+    } else {
+        num_expected = num_max;
+        more_or_less = "at most";
+    }
+    if (exact) {
+        more_or_less = "exactly";
+    }
+    PyErr_Format(PyExc_TypeError,
+                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
+                 func_name, more_or_less, num_expected,
+                 (num_expected == 1) ? "" : "s", num_found);
+}
+
+/* RaiseDoubleKeywords */
+static void __Pyx_RaiseDoubleKeywordsError(
+    const char* func_name,
+    PyObject* kw_name)
+{
+    PyErr_Format(PyExc_TypeError,
+        #if PY_MAJOR_VERSION >= 3
+        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
+        #else
+        "%s() got multiple values for keyword argument '%s'", func_name,
+        PyString_AsString(kw_name));
+        #endif
+}
+
+/* ParseKeywords */
+static int __Pyx_ParseOptionalKeywords(
+    PyObject *kwds,
+    PyObject **argnames[],
+    PyObject *kwds2,
+    PyObject *values[],
+    Py_ssize_t num_pos_args,
+    const char* function_name)
+{
+    PyObject *key = 0, *value = 0;
+    Py_ssize_t pos = 0;
+    PyObject*** name;
+    PyObject*** first_kw_arg = argnames + num_pos_args;
+    while (PyDict_Next(kwds, &pos, &key, &value)) {
+        name = first_kw_arg;
+        while (*name && (**name != key)) name++;
+        if (*name) {
+            values[name-argnames] = value;
+            continue;
+        }
+        name = first_kw_arg;
+        #if PY_MAJOR_VERSION < 3
+        if (likely(PyString_Check(key))) {
+            while (*name) {
+                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
+                        && _PyString_Eq(**name, key)) {
+                    values[name-argnames] = value;
+                    break;
+                }
+                name++;
+            }
+            if (*name) continue;
+            else {
+                PyObject*** argname = argnames;
+                while (argname != first_kw_arg) {
+                    if ((**argname == key) || (
+                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
+                             && _PyString_Eq(**argname, key))) {
+                        goto arg_passed_twice;
+                    }
+                    argname++;
+                }
+            }
+        } else
+        #endif
+        if (likely(PyUnicode_Check(key))) {
+            while (*name) {
+                int cmp = (**name == key) ? 0 :
+                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
+                    (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
+                #endif
+                    PyUnicode_Compare(**name, key);
+                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
+                if (cmp == 0) {
+                    values[name-argnames] = value;
+                    break;
+                }
+                name++;
+            }
+            if (*name) continue;
+            else {
+                PyObject*** argname = argnames;
+                while (argname != first_kw_arg) {
+                    int cmp = (**argname == key) ? 0 :
+                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
+                        (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
+                    #endif
+                        PyUnicode_Compare(**argname, key);
+                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
+                    if (cmp == 0) goto arg_passed_twice;
+                    argname++;
+                }
+            }
+        } else
+            goto invalid_keyword_type;
+        if (kwds2) {
+            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
+        } else {
+            goto invalid_keyword;
+        }
+    }
+    return 0;
+arg_passed_twice:
+    __Pyx_RaiseDoubleKeywordsError(function_name, key);
+    goto bad;
+invalid_keyword_type:
+    PyErr_Format(PyExc_TypeError,
+        "%.200s() keywords must be strings", function_name);
+    goto bad;
+invalid_keyword:
+    PyErr_Format(PyExc_TypeError,
+    #if PY_MAJOR_VERSION < 3
+        "%.200s() got an unexpected keyword argument '%.200s'",
+        function_name, PyString_AsString(key));
+    #else
+        "%s() got an unexpected keyword argument '%U'",
+        function_name, key);
+    #endif
+bad:
+    return -1;
+}
+
+/* None */
+static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
+    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
+}
+
+/* ArgTypeTest */
+static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
+{
+    if (unlikely(!type)) {
+        PyErr_SetString(PyExc_SystemError, "Missing type object");
+        return 0;
+    }
+    else if (exact) {
+        #if PY_MAJOR_VERSION == 2
+        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
+        #endif
+    }
+    else {
+        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
+    }
+    PyErr_Format(PyExc_TypeError,
+        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
+        name, type->tp_name, Py_TYPE(obj)->tp_name);
+    return 0;
+}
+
+/* PyErrFetchRestore */
+#if CYTHON_FAST_THREAD_STATE
+static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    tmp_type = tstate->curexc_type;
+    tmp_value = tstate->curexc_value;
+    tmp_tb = tstate->curexc_traceback;
+    tstate->curexc_type = type;
+    tstate->curexc_value = value;
+    tstate->curexc_traceback = tb;
+    Py_XDECREF(tmp_type);
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(tmp_tb);
+}
+static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
+    *type = tstate->curexc_type;
+    *value = tstate->curexc_value;
+    *tb = tstate->curexc_traceback;
+    tstate->curexc_type = 0;
+    tstate->curexc_value = 0;
+    tstate->curexc_traceback = 0;
+}
+#endif
+
+/* RaiseException */
+#if PY_MAJOR_VERSION < 3
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
+                        CYTHON_UNUSED PyObject *cause) {
+    __Pyx_PyThreadState_declare
+    Py_XINCREF(type);
+    if (!value || value == Py_None)
+        value = NULL;
+    else
+        Py_INCREF(value);
+    if (!tb || tb == Py_None)
+        tb = NULL;
+    else {
+        Py_INCREF(tb);
+        if (!PyTraceBack_Check(tb)) {
+            PyErr_SetString(PyExc_TypeError,
+                "raise: arg 3 must be a traceback or None");
+            goto raise_error;
+        }
+    }
+    if (PyType_Check(type)) {
+#if CYTHON_COMPILING_IN_PYPY
+        if (!value) {
+            Py_INCREF(Py_None);
+            value = Py_None;
+        }
+#endif
+        PyErr_NormalizeException(&type, &value, &tb);
+    } else {
+        if (value) {
+            PyErr_SetString(PyExc_TypeError,
+                "instance exception may not have a separate value");
+            goto raise_error;
+        }
+        value = type;
+        type = (PyObject*) Py_TYPE(type);
+        Py_INCREF(type);
+        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
+            PyErr_SetString(PyExc_TypeError,
+                "raise: exception class must be a subclass of BaseException");
+            goto raise_error;
+        }
+    }
+    __Pyx_PyThreadState_assign
+    __Pyx_ErrRestore(type, value, tb);
+    return;
+raise_error:
+    Py_XDECREF(value);
+    Py_XDECREF(type);
+    Py_XDECREF(tb);
+    return;
+}
+#else
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
+    PyObject* owned_instance = NULL;
+    if (tb == Py_None) {
+        tb = 0;
+    } else if (tb && !PyTraceBack_Check(tb)) {
+        PyErr_SetString(PyExc_TypeError,
+            "raise: arg 3 must be a traceback or None");
+        goto bad;
+    }
+    if (value == Py_None)
+        value = 0;
+    if (PyExceptionInstance_Check(type)) {
+        if (value) {
+            PyErr_SetString(PyExc_TypeError,
+                "instance exception may not have a separate value");
+            goto bad;
+        }
+        value = type;
+        type = (PyObject*) Py_TYPE(value);
+    } else if (PyExceptionClass_Check(type)) {
+        PyObject *instance_class = NULL;
+        if (value && PyExceptionInstance_Check(value)) {
+            instance_class = (PyObject*) Py_TYPE(value);
+            if (instance_class != type) {
+                int is_subclass = PyObject_IsSubclass(instance_class, type);
+                if (!is_subclass) {
+                    instance_class = NULL;
+                } else if (unlikely(is_subclass == -1)) {
+                    goto bad;
+                } else {
+                    type = instance_class;
+                }
+            }
+        }
+        if (!instance_class) {
+            PyObject *args;
+            if (!value)
+                args = PyTuple_New(0);
+            else if (PyTuple_Check(value)) {
+                Py_INCREF(value);
+                args = value;
+            } else
+                args = PyTuple_Pack(1, value);
+            if (!args)
+                goto bad;
+            owned_instance = PyObject_Call(type, args, NULL);
+            Py_DECREF(args);
+            if (!owned_instance)
+                goto bad;
+            value = owned_instance;
+            if (!PyExceptionInstance_Check(value)) {
+                PyErr_Format(PyExc_TypeError,
+                             "calling %R should have returned an instance of "
+                             "BaseException, not %R",
+                             type, Py_TYPE(value));
+                goto bad;
+            }
+        }
+    } else {
+        PyErr_SetString(PyExc_TypeError,
+            "raise: exception class must be a subclass of BaseException");
+        goto bad;
+    }
+    if (cause) {
+        PyObject *fixed_cause;
+        if (cause == Py_None) {
+            fixed_cause = NULL;
+        } else if (PyExceptionClass_Check(cause)) {
+            fixed_cause = PyObject_CallObject(cause, NULL);
+            if (fixed_cause == NULL)
+                goto bad;
+        } else if (PyExceptionInstance_Check(cause)) {
+            fixed_cause = cause;
+            Py_INCREF(fixed_cause);
+        } else {
+            PyErr_SetString(PyExc_TypeError,
+                            "exception causes must derive from "
+                            "BaseException");
+            goto bad;
+        }
+        PyException_SetCause(value, fixed_cause);
+    }
+    PyErr_SetObject(type, value);
+    if (tb) {
+#if CYTHON_COMPILING_IN_PYPY
+        PyObject *tmp_type, *tmp_value, *tmp_tb;
+        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
+        Py_INCREF(tb);
+        PyErr_Restore(tmp_type, tmp_value, tb);
+        Py_XDECREF(tmp_tb);
+#else
+        PyThreadState *tstate = __Pyx_PyThreadState_Current;
+        PyObject* tmp_tb = tstate->curexc_traceback;
+        if (tb != tmp_tb) {
+            Py_INCREF(tb);
+            tstate->curexc_traceback = tb;
+            Py_XDECREF(tmp_tb);
+        }
+#endif
+    }
+bad:
+    Py_XDECREF(owned_instance);
+    return;
+}
+#endif
+
+/* BytesEquals */
+static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
+#if CYTHON_COMPILING_IN_PYPY
+    return PyObject_RichCompareBool(s1, s2, equals);
+#else
+    if (s1 == s2) {
+        return (equals == Py_EQ);
+    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
+        const char *ps1, *ps2;
+        Py_ssize_t length = PyBytes_GET_SIZE(s1);
+        if (length != PyBytes_GET_SIZE(s2))
+            return (equals == Py_NE);
+        ps1 = PyBytes_AS_STRING(s1);
+        ps2 = PyBytes_AS_STRING(s2);
+        if (ps1[0] != ps2[0]) {
+            return (equals == Py_NE);
+        } else if (length == 1) {
+            return (equals == Py_EQ);
+        } else {
+            int result;
+#if CYTHON_USE_UNICODE_INTERNALS
+            Py_hash_t hash1, hash2;
+            hash1 = ((PyBytesObject*)s1)->ob_shash;
+            hash2 = ((PyBytesObject*)s2)->ob_shash;
+            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
+                return (equals == Py_NE);
+            }
+#endif
+            result = memcmp(ps1, ps2, (size_t)length);
+            return (equals == Py_EQ) ? (result == 0) : (result != 0);
+        }
+    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
+        return (equals == Py_NE);
+    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
+        return (equals == Py_NE);
+    } else {
+        int result;
+        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
+        if (!py_result)
+            return -1;
+        result = __Pyx_PyObject_IsTrue(py_result);
+        Py_DECREF(py_result);
+        return result;
+    }
+#endif
+}
+
+/* UnicodeEquals */
+static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
+#if CYTHON_COMPILING_IN_PYPY
+    return PyObject_RichCompareBool(s1, s2, equals);
+#else
+#if PY_MAJOR_VERSION < 3
+    PyObject* owned_ref = NULL;
+#endif
+    int s1_is_unicode, s2_is_unicode;
+    if (s1 == s2) {
+        goto return_eq;
+    }
+    s1_is_unicode = PyUnicode_CheckExact(s1);
+    s2_is_unicode = PyUnicode_CheckExact(s2);
+#if PY_MAJOR_VERSION < 3
+    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
+        owned_ref = PyUnicode_FromObject(s2);
+        if (unlikely(!owned_ref))
+            return -1;
+        s2 = owned_ref;
+        s2_is_unicode = 1;
+    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
+        owned_ref = PyUnicode_FromObject(s1);
+        if (unlikely(!owned_ref))
+            return -1;
+        s1 = owned_ref;
+        s1_is_unicode = 1;
+    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
+        return __Pyx_PyBytes_Equals(s1, s2, equals);
+    }
+#endif
+    if (s1_is_unicode & s2_is_unicode) {
+        Py_ssize_t length;
+        int kind;
+        void *data1, *data2;
+        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
+            return -1;
+        length = __Pyx_PyUnicode_GET_LENGTH(s1);
+        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
+            goto return_ne;
+        }
+#if CYTHON_USE_UNICODE_INTERNALS
+        {
+            Py_hash_t hash1, hash2;
+        #if CYTHON_PEP393_ENABLED
+            hash1 = ((PyASCIIObject*)s1)->hash;
+            hash2 = ((PyASCIIObject*)s2)->hash;
+        #else
+            hash1 = ((PyUnicodeObject*)s1)->hash;
+            hash2 = ((PyUnicodeObject*)s2)->hash;
+        #endif
+            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
+                goto return_ne;
+            }
+        }
+#endif
+        kind = __Pyx_PyUnicode_KIND(s1);
+        if (kind != __Pyx_PyUnicode_KIND(s2)) {
+            goto return_ne;
+        }
+        data1 = __Pyx_PyUnicode_DATA(s1);
+        data2 = __Pyx_PyUnicode_DATA(s2);
+        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
+            goto return_ne;
+        } else if (length == 1) {
+            goto return_eq;
+        } else {
+            int result = memcmp(data1, data2, (size_t)(length * kind));
+            #if PY_MAJOR_VERSION < 3
+            Py_XDECREF(owned_ref);
+            #endif
+            return (equals == Py_EQ) ? (result == 0) : (result != 0);
+        }
+    } else if ((s1 == Py_None) & s2_is_unicode) {
+        goto return_ne;
+    } else if ((s2 == Py_None) & s1_is_unicode) {
+        goto return_ne;
+    } else {
+        int result;
+        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
+        #if PY_MAJOR_VERSION < 3
+        Py_XDECREF(owned_ref);
+        #endif
+        if (!py_result)
+            return -1;
+        result = __Pyx_PyObject_IsTrue(py_result);
+        Py_DECREF(py_result);
+        return result;
+    }
+return_eq:
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(owned_ref);
+    #endif
+    return (equals == Py_EQ);
+return_ne:
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(owned_ref);
+    #endif
+    return (equals == Py_NE);
+#endif
+}
+
+/* None */
+static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t a, Py_ssize_t b) {
+    Py_ssize_t q = a / b;
+    Py_ssize_t r = a - q*b;
+    q -= ((r != 0) & ((r ^ b) < 0));
+    return q;
+}
+
+/* GetAttr */
+static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
+#if CYTHON_USE_TYPE_SLOTS
+#if PY_MAJOR_VERSION >= 3
+    if (likely(PyUnicode_Check(n)))
+#else
+    if (likely(PyString_Check(n)))
+#endif
+        return __Pyx_PyObject_GetAttrStr(o, n);
+#endif
+    return PyObject_GetAttr(o, n);
+}
+
+/* GetItemInt */
+static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
+    PyObject *r;
+    if (!j) return NULL;
+    r = PyObject_GetItem(o, j);
+    Py_DECREF(j);
+    return r;
+}
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
+                                                              CYTHON_NCP_UNUSED int wraparound,
+                                                              CYTHON_NCP_UNUSED int boundscheck) {
+#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
+    Py_ssize_t wrapped_i = i;
+    if (wraparound & unlikely(i < 0)) {
+        wrapped_i += PyList_GET_SIZE(o);
+    }
+    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
+        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
+        Py_INCREF(r);
+        return r;
+    }
+    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
+#else
+    return PySequence_GetItem(o, i);
+#endif
+}
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
+                                                              CYTHON_NCP_UNUSED int wraparound,
+                                                              CYTHON_NCP_UNUSED int boundscheck) {
+#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
+    Py_ssize_t wrapped_i = i;
+    if (wraparound & unlikely(i < 0)) {
+        wrapped_i += PyTuple_GET_SIZE(o);
+    }
+    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
+        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
+        Py_INCREF(r);
+        return r;
+    }
+    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
+#else
+    return PySequence_GetItem(o, i);
+#endif
+}
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
+                                                     CYTHON_NCP_UNUSED int wraparound,
+                                                     CYTHON_NCP_UNUSED int boundscheck) {
+#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
+    if (is_list || PyList_CheckExact(o)) {
+        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
+        if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
+            PyObject *r = PyList_GET_ITEM(o, n);
+            Py_INCREF(r);
+            return r;
+        }
+    }
+    else if (PyTuple_CheckExact(o)) {
+        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
+        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
+            PyObject *r = PyTuple_GET_ITEM(o, n);
+            Py_INCREF(r);
+            return r;
+        }
+    } else {
+        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
+        if (likely(m && m->sq_item)) {
+            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
+                Py_ssize_t l = m->sq_length(o);
+                if (likely(l >= 0)) {
+                    i += l;
+                } else {
+                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
+                        return NULL;
+                    PyErr_Clear();
+                }
+            }
+            return m->sq_item(o, i);
+        }
+    }
+#else
+    if (is_list || PySequence_Check(o)) {
+        return PySequence_GetItem(o, i);
+    }
+#endif
+    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
+}
+
+/* ObjectGetItem */
+#if CYTHON_USE_TYPE_SLOTS
+static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
+    PyObject *runerr;
+    Py_ssize_t key_value;
+    PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
+    if (unlikely(!(m && m->sq_item))) {
+        PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
+        return NULL;
+    }
+    key_value = __Pyx_PyIndex_AsSsize_t(index);
+    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
+        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
+    }
+    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
+        PyErr_Clear();
+        PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
+    }
+    return NULL;
+}
+static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
+    PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
+    if (likely(m && m->mp_subscript)) {
+        return m->mp_subscript(obj, key);
+    }
+    return __Pyx_PyObject_GetIndex(obj, key);
+}
+#endif
+
+/* decode_c_string */
+static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
+         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
+         const char* encoding, const char* errors,
+         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
+    Py_ssize_t length;
+    if (unlikely((start < 0) | (stop < 0))) {
+        size_t slen = strlen(cstring);
+        if (unlikely(slen > (size_t) PY_SSIZE_T_MAX)) {
+            PyErr_SetString(PyExc_OverflowError,
+                            "c-string too long to convert to Python");
+            return NULL;
+        }
+        length = (Py_ssize_t) slen;
+        if (start < 0) {
+            start += length;
+            if (start < 0)
+                start = 0;
+        }
+        if (stop < 0)
+            stop += length;
+    }
+    if (unlikely(stop <= start))
+        return __Pyx_NewRef(__pyx_empty_unicode);
+    length = stop - start;
+    cstring += start;
+    if (decode_func) {
+        return decode_func(cstring, length, errors);
+    } else {
+        return PyUnicode_Decode(cstring, length, encoding, errors);
+    }
+}
+
+/* PyErrExceptionMatches */
+#if CYTHON_FAST_THREAD_STATE
+static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
+    Py_ssize_t i, n;
+    n = PyTuple_GET_SIZE(tuple);
+#if PY_MAJOR_VERSION >= 3
+    for (i=0; i<n; i++) {
+        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
+    }
+#endif
+    for (i=0; i<n; i++) {
+        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
+    }
+    return 0;
+}
+static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
+    PyObject *exc_type = tstate->curexc_type;
+    if (exc_type == err) return 1;
+    if (unlikely(!exc_type)) return 0;
+    if (unlikely(PyTuple_Check(err)))
+        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
+    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
+}
+#endif
+
+/* GetAttr3 */
+static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
+    __Pyx_PyThreadState_declare
+    __Pyx_PyThreadState_assign
+    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
+        return NULL;
+    __Pyx_PyErr_Clear();
+    Py_INCREF(d);
+    return d;
+}
+static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
+    PyObject *r = __Pyx_GetAttr(o, n);
+    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
+}
+
+/* RaiseTooManyValuesToUnpack */
+static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
+    PyErr_Format(PyExc_ValueError,
+                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
+}
+
+/* RaiseNeedMoreValuesToUnpack */
+static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
+    PyErr_Format(PyExc_ValueError,
+                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
+                 index, (index == 1) ? "" : "s");
+}
+
+/* RaiseNoneIterError */
+static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
+    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
+}
+
+/* ExtTypeTest */
+static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
+    if (unlikely(!type)) {
+        PyErr_SetString(PyExc_SystemError, "Missing type object");
+        return 0;
+    }
+    if (likely(__Pyx_TypeCheck(obj, type)))
+        return 1;
+    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
+                 Py_TYPE(obj)->tp_name, type->tp_name);
+    return 0;
+}
+
+/* GetTopmostException */
+#if CYTHON_USE_EXC_INFO_STACK
+static _PyErr_StackItem *
+__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
+{
+    _PyErr_StackItem *exc_info = tstate->exc_info;
+    while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
+           exc_info->previous_item != NULL)
+    {
+        exc_info = exc_info->previous_item;
+    }
+    return exc_info;
+}
+#endif
+
+/* SaveResetException */
+#if CYTHON_FAST_THREAD_STATE
+static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
+    #if CYTHON_USE_EXC_INFO_STACK
+    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
+    *type = exc_info->exc_type;
+    *value = exc_info->exc_value;
+    *tb = exc_info->exc_traceback;
+    #else
+    *type = tstate->exc_type;
+    *value = tstate->exc_value;
+    *tb = tstate->exc_traceback;
+    #endif
+    Py_XINCREF(*type);
+    Py_XINCREF(*value);
+    Py_XINCREF(*tb);
+}
+static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    #if CYTHON_USE_EXC_INFO_STACK
+    _PyErr_StackItem *exc_info = tstate->exc_info;
+    tmp_type = exc_info->exc_type;
+    tmp_value = exc_info->exc_value;
+    tmp_tb = exc_info->exc_traceback;
+    exc_info->exc_type = type;
+    exc_info->exc_value = value;
+    exc_info->exc_traceback = tb;
+    #else
+    tmp_type = tstate->exc_type;
+    tmp_value = tstate->exc_value;
+    tmp_tb = tstate->exc_traceback;
+    tstate->exc_type = type;
+    tstate->exc_value = value;
+    tstate->exc_traceback = tb;
+    #endif
+    Py_XDECREF(tmp_type);
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(tmp_tb);
+}
+#endif
+
+/* GetException */
+#if CYTHON_FAST_THREAD_STATE
+static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
+#else
+static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
+#endif
+{
+    PyObject *local_type, *local_value, *local_tb;
+#if CYTHON_FAST_THREAD_STATE
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    local_type = tstate->curexc_type;
+    local_value = tstate->curexc_value;
+    local_tb = tstate->curexc_traceback;
+    tstate->curexc_type = 0;
+    tstate->curexc_value = 0;
+    tstate->curexc_traceback = 0;
+#else
+    PyErr_Fetch(&local_type, &local_value, &local_tb);
+#endif
+    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
+#if CYTHON_FAST_THREAD_STATE
+    if (unlikely(tstate->curexc_type))
+#else
+    if (unlikely(PyErr_Occurred()))
+#endif
+        goto bad;
+    #if PY_MAJOR_VERSION >= 3
+    if (local_tb) {
+        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
+            goto bad;
+    }
+    #endif
+    Py_XINCREF(local_tb);
+    Py_XINCREF(local_type);
+    Py_XINCREF(local_value);
+    *type = local_type;
+    *value = local_value;
+    *tb = local_tb;
+#if CYTHON_FAST_THREAD_STATE
+    #if CYTHON_USE_EXC_INFO_STACK
+    {
+        _PyErr_StackItem *exc_info = tstate->exc_info;
+        tmp_type = exc_info->exc_type;
+        tmp_value = exc_info->exc_value;
+        tmp_tb = exc_info->exc_traceback;
+        exc_info->exc_type = local_type;
+        exc_info->exc_value = local_value;
+        exc_info->exc_traceback = local_tb;
+    }
+    #else
+    tmp_type = tstate->exc_type;
+    tmp_value = tstate->exc_value;
+    tmp_tb = tstate->exc_traceback;
+    tstate->exc_type = local_type;
+    tstate->exc_value = local_value;
+    tstate->exc_traceback = local_tb;
+    #endif
+    Py_XDECREF(tmp_type);
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(tmp_tb);
+#else
+    PyErr_SetExcInfo(local_type, local_value, local_tb);
+#endif
+    return 0;
+bad:
+    *type = 0;
+    *value = 0;
+    *tb = 0;
+    Py_XDECREF(local_type);
+    Py_XDECREF(local_value);
+    Py_XDECREF(local_tb);
+    return -1;
+}
+
+/* SwapException */
+#if CYTHON_FAST_THREAD_STATE
+static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    #if CYTHON_USE_EXC_INFO_STACK
+    _PyErr_StackItem *exc_info = tstate->exc_info;
+    tmp_type = exc_info->exc_type;
+    tmp_value = exc_info->exc_value;
+    tmp_tb = exc_info->exc_traceback;
+    exc_info->exc_type = *type;
+    exc_info->exc_value = *value;
+    exc_info->exc_traceback = *tb;
+    #else
+    tmp_type = tstate->exc_type;
+    tmp_value = tstate->exc_value;
+    tmp_tb = tstate->exc_traceback;
+    tstate->exc_type = *type;
+    tstate->exc_value = *value;
+    tstate->exc_traceback = *tb;
+    #endif
+    *type = tmp_type;
+    *value = tmp_value;
+    *tb = tmp_tb;
+}
+#else
+static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
+    PyErr_SetExcInfo(*type, *value, *tb);
+    *type = tmp_type;
+    *value = tmp_value;
+    *tb = tmp_tb;
+}
+#endif
+
+/* Import */
+static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
+    PyObject *empty_list = 0;
+    PyObject *module = 0;
+    PyObject *global_dict = 0;
+    PyObject *empty_dict = 0;
+    PyObject *list;
+    #if PY_MAJOR_VERSION < 3
+    PyObject *py_import;
+    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
+    if (!py_import)
+        goto bad;
+    #endif
+    if (from_list)
+        list = from_list;
+    else {
+        empty_list = PyList_New(0);
+        if (!empty_list)
+            goto bad;
+        list = empty_list;
+    }
+    global_dict = PyModule_GetDict(__pyx_m);
+    if (!global_dict)
+        goto bad;
+    empty_dict = PyDict_New();
+    if (!empty_dict)
+        goto bad;
+    {
+        #if PY_MAJOR_VERSION >= 3
+        if (level == -1) {
+            if ((1) && (strchr(__Pyx_MODULE_NAME, '.'))) {
+                module = PyImport_ImportModuleLevelObject(
+                    name, global_dict, empty_dict, list, 1);
+                if (!module) {
+                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
+                        goto bad;
+                    PyErr_Clear();
+                }
+            }
+            level = 0;
+        }
+        #endif
+        if (!module) {
+            #if PY_MAJOR_VERSION < 3
+            PyObject *py_level = PyInt_FromLong(level);
+            if (!py_level)
+                goto bad;
+            module = PyObject_CallFunctionObjArgs(py_import,
+                name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
+            Py_DECREF(py_level);
+            #else
+            module = PyImport_ImportModuleLevelObject(
+                name, global_dict, empty_dict, list, level);
+            #endif
+        }
+    }
+bad:
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(py_import);
+    #endif
+    Py_XDECREF(empty_list);
+    Py_XDECREF(empty_dict);
+    return module;
+}
+
+/* FastTypeChecks */
+#if CYTHON_COMPILING_IN_CPYTHON
+static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
+    while (a) {
+        a = a->tp_base;
+        if (a == b)
+            return 1;
+    }
+    return b == &PyBaseObject_Type;
+}
+static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
+    PyObject *mro;
+    if (a == b) return 1;
+    mro = a->tp_mro;
+    if (likely(mro)) {
+        Py_ssize_t i, n;
+        n = PyTuple_GET_SIZE(mro);
+        for (i = 0; i < n; i++) {
+            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
+                return 1;
+        }
+        return 0;
+    }
+    return __Pyx_InBases(a, b);
+}
+#if PY_MAJOR_VERSION == 2
+static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
+    PyObject *exception, *value, *tb;
+    int res;
+    __Pyx_PyThreadState_declare
+    __Pyx_PyThreadState_assign
+    __Pyx_ErrFetch(&exception, &value, &tb);
+    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
+    if (unlikely(res == -1)) {
+        PyErr_WriteUnraisable(err);
+        res = 0;
+    }
+    if (!res) {
+        res = PyObject_IsSubclass(err, exc_type2);
+        if (unlikely(res == -1)) {
+            PyErr_WriteUnraisable(err);
+            res = 0;
+        }
+    }
+    __Pyx_ErrRestore(exception, value, tb);
+    return res;
+}
+#else
+static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
+    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
+    if (!res) {
+        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
+    }
+    return res;
+}
+#endif
+static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
+    Py_ssize_t i, n;
+    assert(PyExceptionClass_Check(exc_type));
+    n = PyTuple_GET_SIZE(tuple);
+#if PY_MAJOR_VERSION >= 3
+    for (i=0; i<n; i++) {
+        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
+    }
+#endif
+    for (i=0; i<n; i++) {
+        PyObject *t = PyTuple_GET_ITEM(tuple, i);
+        #if PY_MAJOR_VERSION < 3
+        if (likely(exc_type == t)) return 1;
+        #endif
+        if (likely(PyExceptionClass_Check(t))) {
+            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
+        } else {
+        }
+    }
+    return 0;
+}
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
+    if (likely(err == exc_type)) return 1;
+    if (likely(PyExceptionClass_Check(err))) {
+        if (likely(PyExceptionClass_Check(exc_type))) {
+            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
+        } else if (likely(PyTuple_Check(exc_type))) {
+            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
+        } else {
+        }
+    }
+    return PyErr_GivenExceptionMatches(err, exc_type);
+}
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
+    assert(PyExceptionClass_Check(exc_type1));
+    assert(PyExceptionClass_Check(exc_type2));
+    if (likely(err == exc_type1 || err == exc_type2)) return 1;
+    if (likely(PyExceptionClass_Check(err))) {
+        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
+    }
+    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
+}
+#endif
+
+/* PyIntBinop */
+#if !CYTHON_COMPILING_IN_PYPY
+static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
+    (void)inplace;
+    (void)zerodivision_check;
+    #if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_CheckExact(op1))) {
+        const long b = intval;
+        long x;
+        long a = PyInt_AS_LONG(op1);
+            x = (long)((unsigned long)a + b);
+            if (likely((x^a) >= 0 || (x^b) >= 0))
+                return PyInt_FromLong(x);
+            return PyLong_Type.tp_as_number->nb_add(op1, op2);
+    }
+    #endif
+    #if CYTHON_USE_PYLONG_INTERNALS
+    if (likely(PyLong_CheckExact(op1))) {
+        const long b = intval;
+        long a, x;
+#ifdef HAVE_LONG_LONG
+        const PY_LONG_LONG llb = intval;
+        PY_LONG_LONG lla, llx;
+#endif
+        const digit* digits = ((PyLongObject*)op1)->ob_digit;
+        const Py_ssize_t size = Py_SIZE(op1);
+        if (likely(__Pyx_sst_abs(size) <= 1)) {
+            a = likely(size) ? digits[0] : 0;
+            if (size == -1) a = -a;
+        } else {
+            switch (size) {
+                case -2:
+                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
+                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case 2:
+                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
+                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case -3:
+                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
+                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case 3:
+                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
+                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case -4:
+                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
+                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case 4:
+                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
+                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
+            }
+        }
+                x = a + b;
+            return PyLong_FromLong(x);
+#ifdef HAVE_LONG_LONG
+        long_long:
+                llx = lla + llb;
+            return PyLong_FromLongLong(llx);
+#endif
+        
+        
+    }
+    #endif
+    if (PyFloat_CheckExact(op1)) {
+        const long b = intval;
+        double a = PyFloat_AS_DOUBLE(op1);
+            double result;
+            PyFPE_START_PROTECT("add", return NULL)
+            result = ((double)a) + (double)b;
+            PyFPE_END_PROTECT(result)
+            return PyFloat_FromDouble(result);
+    }
+    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
+}
+#endif
+
+/* None */
+static CYTHON_INLINE long __Pyx_div_long(long a, long b) {
+    long q = a / b;
+    long r = a - q*b;
+    q -= ((r != 0) & ((r ^ b) < 0));
+    return q;
+}
+
+/* ImportFrom */
+static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
+    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
+    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
+        PyErr_Format(PyExc_ImportError,
+        #if PY_MAJOR_VERSION < 3
+            "cannot import name %.230s", PyString_AS_STRING(name));
+        #else
+            "cannot import name %S", name);
+        #endif
+    }
+    return value;
+}
+
+/* HasAttr */
+static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
+    PyObject *r;
+    if (unlikely(!__Pyx_PyBaseString_Check(n))) {
+        PyErr_SetString(PyExc_TypeError,
+                        "hasattr(): attribute name must be string");
+        return -1;
+    }
+    r = __Pyx_GetAttr(o, n);
+    if (unlikely(!r)) {
+        PyErr_Clear();
+        return 0;
+    } else {
+        Py_DECREF(r);
+        return 1;
+    }
+}
+
+/* PyObject_GenericGetAttrNoDict */
+#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
+static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
+    PyErr_Format(PyExc_AttributeError,
+#if PY_MAJOR_VERSION >= 3
+                 "'%.50s' object has no attribute '%U'",
+                 tp->tp_name, attr_name);
+#else
+                 "'%.50s' object has no attribute '%.400s'",
+                 tp->tp_name, PyString_AS_STRING(attr_name));
+#endif
+    return NULL;
+}
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
+    PyObject *descr;
+    PyTypeObject *tp = Py_TYPE(obj);
+    if (unlikely(!PyString_Check(attr_name))) {
+        return PyObject_GenericGetAttr(obj, attr_name);
+    }
+    assert(!tp->tp_dictoffset);
+    descr = _PyType_Lookup(tp, attr_name);
+    if (unlikely(!descr)) {
+        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
+    }
+    Py_INCREF(descr);
+    #if PY_MAJOR_VERSION < 3
+    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
+    #endif
+    {
+        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
+        if (unlikely(f)) {
+            PyObject *res = f(descr, obj, (PyObject *)tp);
+            Py_DECREF(descr);
+            return res;
+        }
+    }
+    return descr;
+}
+#endif
+
+/* PyObject_GenericGetAttr */
+#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
+static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
+    if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
+        return PyObject_GenericGetAttr(obj, attr_name);
+    }
+    return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
+}
+#endif
+
+/* SetVTable */
+static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
+#if PY_VERSION_HEX >= 0x02070000
+    PyObject *ob = PyCapsule_New(vtable, 0, 0);
+#else
+    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
+#endif
+    if (!ob)
+        goto bad;
+    if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
+        goto bad;
+    Py_DECREF(ob);
+    return 0;
+bad:
+    Py_XDECREF(ob);
+    return -1;
+}
+
+/* PyObjectGetAttrStrNoError */
+static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
+    __Pyx_PyThreadState_declare
+    __Pyx_PyThreadState_assign
+    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
+        __Pyx_PyErr_Clear();
+}
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
+    PyObject *result;
+#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
+    PyTypeObject* tp = Py_TYPE(obj);
+    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
+        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
+    }
+#endif
+    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
+    if (unlikely(!result)) {
+        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
+    }
+    return result;
+}
+
+/* SetupReduce */
+static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
+  int ret;
+  PyObject *name_attr;
+  name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name_2);
+  if (likely(name_attr)) {
+      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
+  } else {
+      ret = -1;
+  }
+  if (unlikely(ret < 0)) {
+      PyErr_Clear();
+      ret = 0;
+  }
+  Py_XDECREF(name_attr);
+  return ret;
+}
+static int __Pyx_setup_reduce(PyObject* type_obj) {
+    int ret = 0;
+    PyObject *object_reduce = NULL;
+    PyObject *object_reduce_ex = NULL;
+    PyObject *reduce = NULL;
+    PyObject *reduce_ex = NULL;
+    PyObject *reduce_cython = NULL;
+    PyObject *setstate = NULL;
+    PyObject *setstate_cython = NULL;
+#if CYTHON_USE_PYTYPE_LOOKUP
+    if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
+#else
+    if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
+#endif
+#if CYTHON_USE_PYTYPE_LOOKUP
+    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
+#else
+    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
+#endif
+    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
+    if (reduce_ex == object_reduce_ex) {
+#if CYTHON_USE_PYTYPE_LOOKUP
+        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
+#else
+        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
+#endif
+        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
+        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
+            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);
+            if (likely(reduce_cython)) {
+                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
+                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
+            } else if (reduce == object_reduce || PyErr_Occurred()) {
+                goto __PYX_BAD;
+            }
+            setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
+            if (!setstate) PyErr_Clear();
+            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
+                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);
+                if (likely(setstate_cython)) {
+                    ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
+                    ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
+                } else if (!setstate || PyErr_Occurred()) {
+                    goto __PYX_BAD;
+                }
+            }
+            PyType_Modified((PyTypeObject*)type_obj);
+        }
+    }
+    goto __PYX_GOOD;
+__PYX_BAD:
+    if (!PyErr_Occurred())
+        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
+    ret = -1;
+__PYX_GOOD:
+#if !CYTHON_USE_PYTYPE_LOOKUP
+    Py_XDECREF(object_reduce);
+    Py_XDECREF(object_reduce_ex);
+#endif
+    Py_XDECREF(reduce);
+    Py_XDECREF(reduce_ex);
+    Py_XDECREF(reduce_cython);
+    Py_XDECREF(setstate);
+    Py_XDECREF(setstate_cython);
+    return ret;
+}
+
+/* CLineInTraceback */
+#ifndef CYTHON_CLINE_IN_TRACEBACK
+static int __Pyx_CLineForTraceback(CYTHON_NCP_UNUSED PyThreadState *tstate, int c_line) {
+    PyObject *use_cline;
+    PyObject *ptype, *pvalue, *ptraceback;
+#if CYTHON_COMPILING_IN_CPYTHON
+    PyObject **cython_runtime_dict;
+#endif
+    if (unlikely(!__pyx_cython_runtime)) {
+        return c_line;
+    }
+    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
+#if CYTHON_COMPILING_IN_CPYTHON
+    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
+    if (likely(cython_runtime_dict)) {
+        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
+            use_cline, *cython_runtime_dict,
+            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
+    } else
+#endif
+    {
+      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
+      if (use_cline_obj) {
+        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
+        Py_DECREF(use_cline_obj);
+      } else {
+        PyErr_Clear();
+        use_cline = NULL;
+      }
+    }
+    if (!use_cline) {
+        c_line = 0;
+        PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
+    }
+    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
+        c_line = 0;
+    }
+    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
+    return c_line;
+}
+#endif
+
+/* CodeObjectCache */
+static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
+    int start = 0, mid = 0, end = count - 1;
+    if (end >= 0 && code_line > entries[end].code_line) {
+        return count;
+    }
+    while (start < end) {
+        mid = start + (end - start) / 2;
+        if (code_line < entries[mid].code_line) {
+            end = mid;
+        } else if (code_line > entries[mid].code_line) {
+             start = mid + 1;
+        } else {
+            return mid;
+        }
+    }
+    if (code_line <= entries[mid].code_line) {
+        return mid;
+    } else {
+        return mid + 1;
+    }
+}
+static PyCodeObject *__pyx_find_code_object(int code_line) {
+    PyCodeObject* code_object;
+    int pos;
+    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
+        return NULL;
+    }
+    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
+    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
+        return NULL;
+    }
+    code_object = __pyx_code_cache.entries[pos].code_object;
+    Py_INCREF(code_object);
+    return code_object;
+}
+static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
+    int pos, i;
+    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
+    if (unlikely(!code_line)) {
+        return;
+    }
+    if (unlikely(!entries)) {
+        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
+        if (likely(entries)) {
+            __pyx_code_cache.entries = entries;
+            __pyx_code_cache.max_count = 64;
+            __pyx_code_cache.count = 1;
+            entries[0].code_line = code_line;
+            entries[0].code_object = code_object;
+            Py_INCREF(code_object);
+        }
+        return;
+    }
+    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
+    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
+        PyCodeObject* tmp = entries[pos].code_object;
+        entries[pos].code_object = code_object;
+        Py_DECREF(tmp);
+        return;
+    }
+    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
+        int new_max = __pyx_code_cache.max_count + 64;
+        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
+            __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
+        if (unlikely(!entries)) {
+            return;
+        }
+        __pyx_code_cache.entries = entries;
+        __pyx_code_cache.max_count = new_max;
+    }
+    for (i=__pyx_code_cache.count; i>pos; i--) {
+        entries[i] = entries[i-1];
+    }
+    entries[pos].code_line = code_line;
+    entries[pos].code_object = code_object;
+    __pyx_code_cache.count++;
+    Py_INCREF(code_object);
+}
+
+/* AddTraceback */
+#include "compile.h"
+#include "frameobject.h"
+#include "traceback.h"
+static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
+            const char *funcname, int c_line,
+            int py_line, const char *filename) {
+    PyCodeObject *py_code = 0;
+    PyObject *py_srcfile = 0;
+    PyObject *py_funcname = 0;
+    #if PY_MAJOR_VERSION < 3
+    py_srcfile = PyString_FromString(filename);
+    #else
+    py_srcfile = PyUnicode_FromString(filename);
+    #endif
+    if (!py_srcfile) goto bad;
+    if (c_line) {
+        #if PY_MAJOR_VERSION < 3
+        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
+        #else
+        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
+        #endif
+    }
+    else {
+        #if PY_MAJOR_VERSION < 3
+        py_funcname = PyString_FromString(funcname);
+        #else
+        py_funcname = PyUnicode_FromString(funcname);
+        #endif
+    }
+    if (!py_funcname) goto bad;
+    py_code = __Pyx_PyCode_New(
+        0,
+        0,
+        0,
+        0,
+        0,
+        __pyx_empty_bytes, /*PyObject *code,*/
+        __pyx_empty_tuple, /*PyObject *consts,*/
+        __pyx_empty_tuple, /*PyObject *names,*/
+        __pyx_empty_tuple, /*PyObject *varnames,*/
+        __pyx_empty_tuple, /*PyObject *freevars,*/
+        __pyx_empty_tuple, /*PyObject *cellvars,*/
+        py_srcfile,   /*PyObject *filename,*/
+        py_funcname,  /*PyObject *name,*/
+        py_line,
+        __pyx_empty_bytes  /*PyObject *lnotab*/
+    );
+    Py_DECREF(py_srcfile);
+    Py_DECREF(py_funcname);
+    return py_code;
+bad:
+    Py_XDECREF(py_srcfile);
+    Py_XDECREF(py_funcname);
+    return NULL;
+}
+static void __Pyx_AddTraceback(const char *funcname, int c_line,
+                               int py_line, const char *filename) {
+    PyCodeObject *py_code = 0;
+    PyFrameObject *py_frame = 0;
+    PyThreadState *tstate = __Pyx_PyThreadState_Current;
+    if (c_line) {
+        c_line = __Pyx_CLineForTraceback(tstate, c_line);
+    }
+    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
+    if (!py_code) {
+        py_code = __Pyx_CreateCodeObjectForTraceback(
+            funcname, c_line, py_line, filename);
+        if (!py_code) goto bad;
+        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
+    }
+    py_frame = PyFrame_New(
+        tstate,            /*PyThreadState *tstate,*/
+        py_code,           /*PyCodeObject *code,*/
+        __pyx_d,    /*PyObject *globals,*/
+        0                  /*PyObject *locals*/
+    );
+    if (!py_frame) goto bad;
+    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
+    PyTraceBack_Here(py_frame);
+bad:
+    Py_XDECREF(py_code);
+    Py_XDECREF(py_frame);
+}
+
+#if PY_MAJOR_VERSION < 3
+static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
+    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
+        if (__Pyx_TypeCheck(obj, __pyx_array_type)) return __pyx_array_getbuffer(obj, view, flags);
+        if (__Pyx_TypeCheck(obj, __pyx_memoryview_type)) return __pyx_memoryview_getbuffer(obj, view, flags);
+    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
+    return -1;
+}
+static void __Pyx_ReleaseBuffer(Py_buffer *view) {
+    PyObject *obj = view->obj;
+    if (!obj) return;
+    if (PyObject_CheckBuffer(obj)) {
+        PyBuffer_Release(view);
+        return;
+    }
+    if ((0)) {}
+    view->obj = NULL;
+    Py_DECREF(obj);
+}
+#endif
+
+
+/* MemviewSliceIsContig */
+static int
+__pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim)
+{
+    int i, index, step, start;
+    Py_ssize_t itemsize = mvs.memview->view.itemsize;
+    if (order == 'F') {
+        step = 1;
+        start = 0;
+    } else {
+        step = -1;
+        start = ndim - 1;
+    }
+    for (i = 0; i < ndim; i++) {
+        index = start + step * i;
+        if (mvs.suboffsets[index] >= 0 || mvs.strides[index] != itemsize)
+            return 0;
+        itemsize *= mvs.shape[index];
+    }
+    return 1;
+}
+
+/* OverlappingSlices */
+static void
+__pyx_get_array_memory_extents(__Pyx_memviewslice *slice,
+                               void **out_start, void **out_end,
+                               int ndim, size_t itemsize)
+{
+    char *start, *end;
+    int i;
+    start = end = slice->data;
+    for (i = 0; i < ndim; i++) {
+        Py_ssize_t stride = slice->strides[i];
+        Py_ssize_t extent = slice->shape[i];
+        if (extent == 0) {
+            *out_start = *out_end = start;
+            return;
+        } else {
+            if (stride > 0)
+                end += stride * (extent - 1);
+            else
+                start += stride * (extent - 1);
+        }
+    }
+    *out_start = start;
+    *out_end = end + itemsize;
+}
+static int
+__pyx_slices_overlap(__Pyx_memviewslice *slice1,
+                     __Pyx_memviewslice *slice2,
+                     int ndim, size_t itemsize)
+{
+    void *start1, *end1, *start2, *end2;
+    __pyx_get_array_memory_extents(slice1, &start1, &end1, ndim, itemsize);
+    __pyx_get_array_memory_extents(slice2, &start2, &end2, ndim, itemsize);
+    return (start1 < end2) && (start2 < end1);
+}
+
+/* Capsule */
+static CYTHON_INLINE PyObject *
+__pyx_capsule_create(void *p, CYTHON_UNUSED const char *sig)
+{
+    PyObject *cobj;
+#if PY_VERSION_HEX >= 0x02070000
+    cobj = PyCapsule_New(p, sig, NULL);
+#else
+    cobj = PyCObject_FromVoidPtr(p, NULL);
+#endif
+    return cobj;
+}
+
+/* IsLittleEndian */
+static CYTHON_INLINE int __Pyx_Is_Little_Endian(void)
+{
+  union {
+    uint32_t u32;
+    uint8_t u8[4];
+  } S;
+  S.u32 = 0x01020304;
+  return S.u8[0] == 4;
+}
+
+/* BufferFormatCheck */
+static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
+                              __Pyx_BufFmt_StackElem* stack,
+                              __Pyx_TypeInfo* type) {
+  stack[0].field = &ctx->root;
+  stack[0].parent_offset = 0;
+  ctx->root.type = type;
+  ctx->root.name = "buffer dtype";
+  ctx->root.offset = 0;
+  ctx->head = stack;
+  ctx->head->field = &ctx->root;
+  ctx->fmt_offset = 0;
+  ctx->head->parent_offset = 0;
+  ctx->new_packmode = '@';
+  ctx->enc_packmode = '@';
+  ctx->new_count = 1;
+  ctx->enc_count = 0;
+  ctx->enc_type = 0;
+  ctx->is_complex = 0;
+  ctx->is_valid_array = 0;
+  ctx->struct_alignment = 0;
+  while (type->typegroup == 'S') {
+    ++ctx->head;
+    ctx->head->field = type->fields;
+    ctx->head->parent_offset = 0;
+    type = type->fields->type;
+  }
+}
+static int __Pyx_BufFmt_ParseNumber(const char** ts) {
+    int count;
+    const char* t = *ts;
+    if (*t < '0' || *t > '9') {
+      return -1;
+    } else {
+        count = *t++ - '0';
+        while (*t >= '0' && *t <= '9') {
+            count *= 10;
+            count += *t++ - '0';
+        }
+    }
+    *ts = t;
+    return count;
+}
+static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
+    int number = __Pyx_BufFmt_ParseNumber(ts);
+    if (number == -1)
+        PyErr_Format(PyExc_ValueError,\
+                     "Does not understand character buffer dtype format string ('%c')", **ts);
+    return number;
+}
+static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
+  PyErr_Format(PyExc_ValueError,
+               "Unexpected format string character: '%c'", ch);
+}
+static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
+  switch (ch) {
+    case '?': return "'bool'";
+    case 'c': return "'char'";
+    case 'b': return "'signed char'";
+    case 'B': return "'unsigned char'";
+    case 'h': return "'short'";
+    case 'H': return "'unsigned short'";
+    case 'i': return "'int'";
+    case 'I': return "'unsigned int'";
+    case 'l': return "'long'";
+    case 'L': return "'unsigned long'";
+    case 'q': return "'long long'";
+    case 'Q': return "'unsigned long long'";
+    case 'f': return (is_complex ? "'complex float'" : "'float'");
+    case 'd': return (is_complex ? "'complex double'" : "'double'");
+    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
+    case 'T': return "a struct";
+    case 'O': return "Python object";
+    case 'P': return "a pointer";
+    case 's': case 'p': return "a string";
+    case 0: return "end";
+    default: return "unparseable format string";
+  }
+}
+static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return 2;
+    case 'i': case 'I': case 'l': case 'L': return 4;
+    case 'q': case 'Q': return 8;
+    case 'f': return (is_complex ? 8 : 4);
+    case 'd': return (is_complex ? 16 : 8);
+    case 'g': {
+      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
+      return 0;
+    }
+    case 'O': case 'P': return sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(short);
+    case 'i': case 'I': return sizeof(int);
+    case 'l': case 'L': return sizeof(long);
+    #ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
+    #endif
+    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
+    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
+    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
+    case 'O': case 'P': return sizeof(void*);
+    default: {
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+  }
+}
+typedef struct { char c; short x; } __Pyx_st_short;
+typedef struct { char c; int x; } __Pyx_st_int;
+typedef struct { char c; long x; } __Pyx_st_long;
+typedef struct { char c; float x; } __Pyx_st_float;
+typedef struct { char c; double x; } __Pyx_st_double;
+typedef struct { char c; long double x; } __Pyx_st_longdouble;
+typedef struct { char c; void *x; } __Pyx_st_void_p;
+#ifdef HAVE_LONG_LONG
+typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
+#endif
+static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
+    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
+    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
+#ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
+#endif
+    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
+    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
+    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
+    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+/* These are for computing the padding at the end of the struct to align
+   on the first member of the struct. This will probably the same as above,
+   but we don't have any guarantees.
+ */
+typedef struct { short x; char c; } __Pyx_pad_short;
+typedef struct { int x; char c; } __Pyx_pad_int;
+typedef struct { long x; char c; } __Pyx_pad_long;
+typedef struct { float x; char c; } __Pyx_pad_float;
+typedef struct { double x; char c; } __Pyx_pad_double;
+typedef struct { long double x; char c; } __Pyx_pad_longdouble;
+typedef struct { void *x; char c; } __Pyx_pad_void_p;
+#ifdef HAVE_LONG_LONG
+typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
+#endif
+static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
+    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
+    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
+#ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
+#endif
+    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
+    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
+    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
+    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
+  switch (ch) {
+    case 'c':
+        return 'H';
+    case 'b': case 'h': case 'i':
+    case 'l': case 'q': case 's': case 'p':
+        return 'I';
+    case '?': case 'B': case 'H': case 'I': case 'L': case 'Q':
+        return 'U';
+    case 'f': case 'd': case 'g':
+        return (is_complex ? 'C' : 'R');
+    case 'O':
+        return 'O';
+    case 'P':
+        return 'P';
+    default: {
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+  }
+}
+static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
+  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
+    const char* expected;
+    const char* quote;
+    if (ctx->head == NULL) {
+      expected = "end";
+      quote = "";
+    } else {
+      expected = ctx->head->field->type->name;
+      quote = "'";
+    }
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer dtype mismatch, expected %s%s%s but got %s",
+                 quote, expected, quote,
+                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
+  } else {
+    __Pyx_StructField* field = ctx->head->field;
+    __Pyx_StructField* parent = (ctx->head - 1)->field;
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
+                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
+                 parent->type->name, field->name);
+  }
+}
+static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
+  char group;
+  size_t size, offset, arraysize = 1;
+  if (ctx->enc_type == 0) return 0;
+  if (ctx->head->field->type->arraysize[0]) {
+    int i, ndim = 0;
+    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
+        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
+        ndim = 1;
+        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
+            PyErr_Format(PyExc_ValueError,
+                         "Expected a dimension of size %zu, got %zu",
+                         ctx->head->field->type->arraysize[0], ctx->enc_count);
+            return -1;
+        }
+    }
+    if (!ctx->is_valid_array) {
+      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
+                   ctx->head->field->type->ndim, ndim);
+      return -1;
+    }
+    for (i = 0; i < ctx->head->field->type->ndim; i++) {
+      arraysize *= ctx->head->field->type->arraysize[i];
+    }
+    ctx->is_valid_array = 0;
+    ctx->enc_count = 1;
+  }
+  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
+  do {
+    __Pyx_StructField* field = ctx->head->field;
+    __Pyx_TypeInfo* type = field->type;
+    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
+      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
+    } else {
+      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
+    }
+    if (ctx->enc_packmode == '@') {
+      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
+      size_t align_mod_offset;
+      if (align_at == 0) return -1;
+      align_mod_offset = ctx->fmt_offset % align_at;
+      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
+      if (ctx->struct_alignment == 0)
+          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
+                                                                 ctx->is_complex);
+    }
+    if (type->size != size || type->typegroup != group) {
+      if (type->typegroup == 'C' && type->fields != NULL) {
+        size_t parent_offset = ctx->head->parent_offset + field->offset;
+        ++ctx->head;
+        ctx->head->field = type->fields;
+        ctx->head->parent_offset = parent_offset;
+        continue;
+      }
+      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
+      } else {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return -1;
+      }
+    }
+    offset = ctx->head->parent_offset + field->offset;
+    if (ctx->fmt_offset != offset) {
+      PyErr_Format(PyExc_ValueError,
+                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
+                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
+      return -1;
+    }
+    ctx->fmt_offset += size;
+    if (arraysize)
+      ctx->fmt_offset += (arraysize - 1) * size;
+    --ctx->enc_count;
+    while (1) {
+      if (field == &ctx->root) {
+        ctx->head = NULL;
+        if (ctx->enc_count != 0) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return -1;
+        }
+        break;
+      }
+      ctx->head->field = ++field;
+      if (field->type == NULL) {
+        --ctx->head;
+        field = ctx->head->field;
+        continue;
+      } else if (field->type->typegroup == 'S') {
+        size_t parent_offset = ctx->head->parent_offset + field->offset;
+        if (field->type->fields->type == NULL) continue;
+        field = field->type->fields;
+        ++ctx->head;
+        ctx->head->field = field;
+        ctx->head->parent_offset = parent_offset;
+        break;
+      } else {
+        break;
+      }
+    }
+  } while (ctx->enc_count);
+  ctx->enc_type = 0;
+  ctx->is_complex = 0;
+  return 0;
+}
+static PyObject *
+__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
+{
+    const char *ts = *tsp;
+    int i = 0, number, ndim;
+    ++ts;
+    if (ctx->new_count != 1) {
+        PyErr_SetString(PyExc_ValueError,
+                        "Cannot handle repeated arrays in format string");
+        return NULL;
+    }
+    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+    ndim = ctx->head->field->type->ndim;
+    while (*ts && *ts != ')') {
+        switch (*ts) {
+            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
+            default:  break;
+        }
+        number = __Pyx_BufFmt_ExpectNumber(&ts);
+        if (number == -1) return NULL;
+        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
+            return PyErr_Format(PyExc_ValueError,
+                        "Expected a dimension of size %zu, got %d",
+                        ctx->head->field->type->arraysize[i], number);
+        if (*ts != ',' && *ts != ')')
+            return PyErr_Format(PyExc_ValueError,
+                                "Expected a comma in format string, got '%c'", *ts);
+        if (*ts == ',') ts++;
+        i++;
+    }
+    if (i != ndim)
+        return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
+                            ctx->head->field->type->ndim, i);
+    if (!*ts) {
+        PyErr_SetString(PyExc_ValueError,
+                        "Unexpected end of format string, expected ')'");
+        return NULL;
+    }
+    ctx->is_valid_array = 1;
+    ctx->new_count = 1;
+    *tsp = ++ts;
+    return Py_None;
+}
+static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
+  int got_Z = 0;
+  while (1) {
+    switch(*ts) {
+      case 0:
+        if (ctx->enc_type != 0 && ctx->head == NULL) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return NULL;
+        }
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        if (ctx->head != NULL) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return NULL;
+        }
+        return ts;
+      case ' ':
+      case '\r':
+      case '\n':
+        ++ts;
+        break;
+      case '<':
+        if (!__Pyx_Is_Little_Endian()) {
+          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
+          return NULL;
+        }
+        ctx->new_packmode = '=';
+        ++ts;
+        break;
+      case '>':
+      case '!':
+        if (__Pyx_Is_Little_Endian()) {
+          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
+          return NULL;
+        }
+        ctx->new_packmode = '=';
+        ++ts;
+        break;
+      case '=':
+      case '@':
+      case '^':
+        ctx->new_packmode = *ts++;
+        break;
+      case 'T':
+        {
+          const char* ts_after_sub;
+          size_t i, struct_count = ctx->new_count;
+          size_t struct_alignment = ctx->struct_alignment;
+          ctx->new_count = 1;
+          ++ts;
+          if (*ts != '{') {
+            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
+            return NULL;
+          }
+          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+          ctx->enc_type = 0;
+          ctx->enc_count = 0;
+          ctx->struct_alignment = 0;
+          ++ts;
+          ts_after_sub = ts;
+          for (i = 0; i != struct_count; ++i) {
+            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
+            if (!ts_after_sub) return NULL;
+          }
+          ts = ts_after_sub;
+          if (struct_alignment) ctx->struct_alignment = struct_alignment;
+        }
+        break;
+      case '}':
+        {
+          size_t alignment = ctx->struct_alignment;
+          ++ts;
+          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+          ctx->enc_type = 0;
+          if (alignment && ctx->fmt_offset % alignment) {
+            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
+          }
+        }
+        return ts;
+      case 'x':
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        ctx->fmt_offset += ctx->new_count;
+        ctx->new_count = 1;
+        ctx->enc_count = 0;
+        ctx->enc_type = 0;
+        ctx->enc_packmode = ctx->new_packmode;
+        ++ts;
+        break;
+      case 'Z':
+        got_Z = 1;
+        ++ts;
+        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
+          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
+          return NULL;
+        }
+        CYTHON_FALLTHROUGH;
+      case '?': case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
+      case 'l': case 'L': case 'q': case 'Q':
+      case 'f': case 'd': case 'g':
+      case 'O': case 'p':
+        if ((ctx->enc_type == *ts) && (got_Z == ctx->is_complex) &&
+            (ctx->enc_packmode == ctx->new_packmode) && (!ctx->is_valid_array)) {
+          ctx->enc_count += ctx->new_count;
+          ctx->new_count = 1;
+          got_Z = 0;
+          ++ts;
+          break;
+        }
+        CYTHON_FALLTHROUGH;
+      case 's':
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        ctx->enc_count = ctx->new_count;
+        ctx->enc_packmode = ctx->new_packmode;
+        ctx->enc_type = *ts;
+        ctx->is_complex = got_Z;
+        ++ts;
+        ctx->new_count = 1;
+        got_Z = 0;
+        break;
+      case ':':
+        ++ts;
+        while(*ts != ':') ++ts;
+        ++ts;
+        break;
+      case '(':
+        if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
+        break;
+      default:
+        {
+          int number = __Pyx_BufFmt_ExpectNumber(&ts);
+          if (number == -1) return NULL;
+          ctx->new_count = (size_t)number;
+        }
+    }
+  }
+}
+
+/* TypeInfoCompare */
+  static int
+__pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b)
+{
+    int i;
+    if (!a || !b)
+        return 0;
+    if (a == b)
+        return 1;
+    if (a->size != b->size || a->typegroup != b->typegroup ||
+            a->is_unsigned != b->is_unsigned || a->ndim != b->ndim) {
+        if (a->typegroup == 'H' || b->typegroup == 'H') {
+            return a->size == b->size;
+        } else {
+            return 0;
+        }
+    }
+    if (a->ndim) {
+        for (i = 0; i < a->ndim; i++)
+            if (a->arraysize[i] != b->arraysize[i])
+                return 0;
+    }
+    if (a->typegroup == 'S') {
+        if (a->flags != b->flags)
+            return 0;
+        if (a->fields || b->fields) {
+            if (!(a->fields && b->fields))
+                return 0;
+            for (i = 0; a->fields[i].type && b->fields[i].type; i++) {
+                __Pyx_StructField *field_a = a->fields + i;
+                __Pyx_StructField *field_b = b->fields + i;
+                if (field_a->offset != field_b->offset ||
+                    !__pyx_typeinfo_cmp(field_a->type, field_b->type))
+                    return 0;
+            }
+            return !a->fields[i].type && !b->fields[i].type;
+        }
+    }
+    return 1;
+}
+
+/* MemviewSliceValidateAndInit */
+  static int
+__pyx_check_strides(Py_buffer *buf, int dim, int ndim, int spec)
+{
+    if (buf->shape[dim] <= 1)
+        return 1;
+    if (buf->strides) {
+        if (spec & __Pyx_MEMVIEW_CONTIG) {
+            if (spec & (__Pyx_MEMVIEW_PTR|__Pyx_MEMVIEW_FULL)) {
+                if (unlikely(buf->strides[dim] != sizeof(void *))) {
+                    PyErr_Format(PyExc_ValueError,
+                                 "Buffer is not indirectly contiguous "
+                                 "in dimension %d.", dim);
+                    goto fail;
+                }
+            } else if (unlikely(buf->strides[dim] != buf->itemsize)) {
+                PyErr_SetString(PyExc_ValueError,
+                                "Buffer and memoryview are not contiguous "
+                                "in the same dimension.");
+                goto fail;
+            }
+        }
+        if (spec & __Pyx_MEMVIEW_FOLLOW) {
+            Py_ssize_t stride = buf->strides[dim];
+            if (stride < 0)
+                stride = -stride;
+            if (unlikely(stride < buf->itemsize)) {
+                PyErr_SetString(PyExc_ValueError,
+                                "Buffer and memoryview are not contiguous "
+                                "in the same dimension.");
+                goto fail;
+            }
+        }
+    } else {
+        if (unlikely(spec & __Pyx_MEMVIEW_CONTIG && dim != ndim - 1)) {
+            PyErr_Format(PyExc_ValueError,
+                         "C-contiguous buffer is not contiguous in "
+                         "dimension %d", dim);
+            goto fail;
+        } else if (unlikely(spec & (__Pyx_MEMVIEW_PTR))) {
+            PyErr_Format(PyExc_ValueError,
+                         "C-contiguous buffer is not indirect in "
+                         "dimension %d", dim);
+            goto fail;
+        } else if (unlikely(buf->suboffsets)) {
+            PyErr_SetString(PyExc_ValueError,
+                            "Buffer exposes suboffsets but no strides");
+            goto fail;
+        }
+    }
+    return 1;
+fail:
+    return 0;
+}
+static int
+__pyx_check_suboffsets(Py_buffer *buf, int dim, CYTHON_UNUSED int ndim, int spec)
+{
+    if (spec & __Pyx_MEMVIEW_DIRECT) {
+        if (unlikely(buf->suboffsets && buf->suboffsets[dim] >= 0)) {
+            PyErr_Format(PyExc_ValueError,
+                         "Buffer not compatible with direct access "
+                         "in dimension %d.", dim);
+            goto fail;
+        }
+    }
+    if (spec & __Pyx_MEMVIEW_PTR) {
+        if (unlikely(!buf->suboffsets || (buf->suboffsets[dim] < 0))) {
+            PyErr_Format(PyExc_ValueError,
+                         "Buffer is not indirectly accessible "
+                         "in dimension %d.", dim);
+            goto fail;
+        }
+    }
+    return 1;
+fail:
+    return 0;
+}
+static int
+__pyx_verify_contig(Py_buffer *buf, int ndim, int c_or_f_flag)
+{
+    int i;
+    if (c_or_f_flag & __Pyx_IS_F_CONTIG) {
+        Py_ssize_t stride = 1;
+        for (i = 0; i < ndim; i++) {
+            if (unlikely(stride * buf->itemsize != buf->strides[i]  &&  buf->shape[i] > 1)) {
+                PyErr_SetString(PyExc_ValueError,
+                    "Buffer not fortran contiguous.");
+                goto fail;
+            }
+            stride = stride * buf->shape[i];
+        }
+    } else if (c_or_f_flag & __Pyx_IS_C_CONTIG) {
+        Py_ssize_t stride = 1;
+        for (i = ndim - 1; i >- 1; i--) {
+            if (unlikely(stride * buf->itemsize != buf->strides[i]  &&  buf->shape[i] > 1)) {
+                PyErr_SetString(PyExc_ValueError,
+                    "Buffer not C contiguous.");
+                goto fail;
+            }
+            stride = stride * buf->shape[i];
+        }
+    }
+    return 1;
+fail:
+    return 0;
+}
+static int __Pyx_ValidateAndInit_memviewslice(
+                int *axes_specs,
+                int c_or_f_flag,
+                int buf_flags,
+                int ndim,
+                __Pyx_TypeInfo *dtype,
+                __Pyx_BufFmt_StackElem stack[],
+                __Pyx_memviewslice *memviewslice,
+                PyObject *original_obj)
+{
+    struct __pyx_memoryview_obj *memview, *new_memview;
+    __Pyx_RefNannyDeclarations
+    Py_buffer *buf;
+    int i, spec = 0, retval = -1;
+    __Pyx_BufFmt_Context ctx;
+    int from_memoryview = __pyx_memoryview_check(original_obj);
+    __Pyx_RefNannySetupContext("ValidateAndInit_memviewslice", 0);
+    if (from_memoryview && __pyx_typeinfo_cmp(dtype, ((struct __pyx_memoryview_obj *)
+                                                            original_obj)->typeinfo)) {
+        memview = (struct __pyx_memoryview_obj *) original_obj;
+        new_memview = NULL;
+    } else {
+        memview = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
+                                            original_obj, buf_flags, 0, dtype);
+        new_memview = memview;
+        if (unlikely(!memview))
+            goto fail;
+    }
+    buf = &memview->view;
+    if (unlikely(buf->ndim != ndim)) {
+        PyErr_Format(PyExc_ValueError,
+                "Buffer has wrong number of dimensions (expected %d, got %d)",
+                ndim, buf->ndim);
+        goto fail;
+    }
+    if (new_memview) {
+        __Pyx_BufFmt_Init(&ctx, stack, dtype);
+        if (unlikely(!__Pyx_BufFmt_CheckString(&ctx, buf->format))) goto fail;
+    }
+    if (unlikely((unsigned) buf->itemsize != dtype->size)) {
+        PyErr_Format(PyExc_ValueError,
+                     "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "u byte%s) "
+                     "does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "u byte%s)",
+                     buf->itemsize,
+                     (buf->itemsize > 1) ? "s" : "",
+                     dtype->name,
+                     dtype->size,
+                     (dtype->size > 1) ? "s" : "");
+        goto fail;
+    }
+    if (buf->len > 0) {
+        for (i = 0; i < ndim; i++) {
+            spec = axes_specs[i];
+            if (unlikely(!__pyx_check_strides(buf, i, ndim, spec)))
+                goto fail;
+            if (unlikely(!__pyx_check_suboffsets(buf, i, ndim, spec)))
+                goto fail;
+        }
+        if (unlikely(buf->strides && !__pyx_verify_contig(buf, ndim, c_or_f_flag)))
+            goto fail;
+    }
+    if (unlikely(__Pyx_init_memviewslice(memview, ndim, memviewslice,
+                                         new_memview != NULL) == -1)) {
+        goto fail;
+    }
+    retval = 0;
+    goto no_fail;
+fail:
+    Py_XDECREF(new_memview);
+    retval = -1;
+no_fail:
+    __Pyx_RefNannyFinishContext();
+    return retval;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_float(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
+                                                 &__Pyx_TypeInfo_float, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_char(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 3,
+                                                 &__Pyx_TypeInfo_char, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_int(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
+                                                 &__Pyx_TypeInfo_int, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_float(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 3,
+                                                 &__Pyx_TypeInfo_float, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* MemviewDtypeToObject */
+  static CYTHON_INLINE PyObject *__pyx_memview_get_float(const char *itemp) {
+    return (PyObject *) PyFloat_FromDouble(*(float *) itemp);
+}
+static CYTHON_INLINE int __pyx_memview_set_float(const char *itemp, PyObject *obj) {
+    float value = __pyx_PyFloat_AsFloat(obj);
+    if ((value == (float)-1) && PyErr_Occurred())
+        return 0;
+    *(float *) itemp = value;
+    return 1;
+}
+
+/* CIntFromPyVerify */
+  #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
+    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
+#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
+    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
+#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
+    {\
+        func_type value = func_value;\
+        if (sizeof(target_type) < sizeof(func_type)) {\
+            if (unlikely(value != (func_type) (target_type) value)) {\
+                func_type zero = 0;\
+                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
+                    return (target_type) -1;\
+                if (is_unsigned && unlikely(value < zero))\
+                    goto raise_neg_overflow;\
+                else\
+                    goto raise_overflow;\
+            }\
+        }\
+        return (target_type) value;\
+    }
+
+/* MemviewDtypeToObject */
+  static CYTHON_INLINE PyObject *__pyx_memview_get_char(const char *itemp) {
+    return (PyObject *) __Pyx_PyInt_From_char(*(char *) itemp);
+}
+static CYTHON_INLINE int __pyx_memview_set_char(const char *itemp, PyObject *obj) {
+    char value = __Pyx_PyInt_As_char(obj);
+    if ((value == (char)-1) && PyErr_Occurred())
+        return 0;
+    *(char *) itemp = value;
+    return 1;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_int(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
+                                                 &__Pyx_TypeInfo_int, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_char(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
+                                                 &__Pyx_TypeInfo_char, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_int(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 3,
+                                                 &__Pyx_TypeInfo_int, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* MemviewDtypeToObject */
+  static CYTHON_INLINE PyObject *__pyx_memview_get_int(const char *itemp) {
+    return (PyObject *) __Pyx_PyInt_From_int(*(int *) itemp);
+}
+static CYTHON_INLINE int __pyx_memview_set_int(const char *itemp, PyObject *obj) {
+    int value = __Pyx_PyInt_As_int(obj);
+    if ((value == (int)-1) && PyErr_Occurred())
+        return 0;
+    *(int *) itemp = value;
+    return 1;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_d_dc_float(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 4,
+                                                 &__Pyx_TypeInfo_float, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* Declarations */
+  #if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
+      return ::std::complex< float >(x, y);
+    }
+  #else
+    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
+      return x + y*(__pyx_t_float_complex)_Complex_I;
+    }
+  #endif
+#else
+    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
+      __pyx_t_float_complex z;
+      z.real = x;
+      z.imag = y;
+      return z;
+    }
+#endif
+
+/* Arithmetic */
+  #if CYTHON_CCOMPLEX
+#else
+    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+       return (a.real == b.real) && (a.imag == b.imag);
+    }
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        __pyx_t_float_complex z;
+        z.real = a.real + b.real;
+        z.imag = a.imag + b.imag;
+        return z;
+    }
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        __pyx_t_float_complex z;
+        z.real = a.real - b.real;
+        z.imag = a.imag - b.imag;
+        return z;
+    }
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        __pyx_t_float_complex z;
+        z.real = a.real * b.real - a.imag * b.imag;
+        z.imag = a.real * b.imag + a.imag * b.real;
+        return z;
+    }
+    #if 1
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        if (b.imag == 0) {
+            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
+        } else if (fabsf(b.real) >= fabsf(b.imag)) {
+            if (b.real == 0 && b.imag == 0) {
+                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
+            } else {
+                float r = b.imag / b.real;
+                float s = (float)(1.0) / (b.real + b.imag * r);
+                return __pyx_t_float_complex_from_parts(
+                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
+            }
+        } else {
+            float r = b.real / b.imag;
+            float s = (float)(1.0) / (b.imag + b.real * r);
+            return __pyx_t_float_complex_from_parts(
+                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
+        }
+    }
+    #else
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        if (b.imag == 0) {
+            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
+        } else {
+            float denom = b.real * b.real + b.imag * b.imag;
+            return __pyx_t_float_complex_from_parts(
+                (a.real * b.real + a.imag * b.imag) / denom,
+                (a.imag * b.real - a.real * b.imag) / denom);
+        }
+    }
+    #endif
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
+        __pyx_t_float_complex z;
+        z.real = -a.real;
+        z.imag = -a.imag;
+        return z;
+    }
+    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
+       return (a.real == 0) && (a.imag == 0);
+    }
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
+        __pyx_t_float_complex z;
+        z.real =  a.real;
+        z.imag = -a.imag;
+        return z;
+    }
+    #if 1
+        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
+          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
+            return sqrtf(z.real*z.real + z.imag*z.imag);
+          #else
+            return hypotf(z.real, z.imag);
+          #endif
+        }
+        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+            __pyx_t_float_complex z;
+            float r, lnr, theta, z_r, z_theta;
+            if (b.imag == 0 && b.real == (int)b.real) {
+                if (b.real < 0) {
+                    float denom = a.real * a.real + a.imag * a.imag;
+                    a.real = a.real / denom;
+                    a.imag = -a.imag / denom;
+                    b.real = -b.real;
+                }
+                switch ((int)b.real) {
+                    case 0:
+                        z.real = 1;
+                        z.imag = 0;
+                        return z;
+                    case 1:
+                        return a;
+                    case 2:
+                        return __Pyx_c_prod_float(a, a);
+                    case 3:
+                        z = __Pyx_c_prod_float(a, a);
+                        return __Pyx_c_prod_float(z, a);
+                    case 4:
+                        z = __Pyx_c_prod_float(a, a);
+                        return __Pyx_c_prod_float(z, z);
+                }
+            }
+            if (a.imag == 0) {
+                if (a.real == 0) {
+                    return a;
+                } else if (b.imag == 0) {
+                    z.real = powf(a.real, b.real);
+                    z.imag = 0;
+                    return z;
+                } else if (a.real > 0) {
+                    r = a.real;
+                    theta = 0;
+                } else {
+                    r = -a.real;
+                    theta = atan2f(0.0, -1.0);
+                }
+            } else {
+                r = __Pyx_c_abs_float(a);
+                theta = atan2f(a.imag, a.real);
+            }
+            lnr = logf(r);
+            z_r = expf(lnr * b.real - theta * b.imag);
+            z_theta = theta * b.real + lnr * b.imag;
+            z.real = z_r * cosf(z_theta);
+            z.imag = z_r * sinf(z_theta);
+            return z;
+        }
+    #endif
+#endif
+
+/* Declarations */
+  #if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
+      return ::std::complex< double >(x, y);
+    }
+  #else
+    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
+      return x + y*(__pyx_t_double_complex)_Complex_I;
+    }
+  #endif
+#else
+    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
+      __pyx_t_double_complex z;
+      z.real = x;
+      z.imag = y;
+      return z;
+    }
+#endif
+
+/* Arithmetic */
+  #if CYTHON_CCOMPLEX
+#else
+    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+       return (a.real == b.real) && (a.imag == b.imag);
+    }
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        __pyx_t_double_complex z;
+        z.real = a.real + b.real;
+        z.imag = a.imag + b.imag;
+        return z;
+    }
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        __pyx_t_double_complex z;
+        z.real = a.real - b.real;
+        z.imag = a.imag - b.imag;
+        return z;
+    }
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        __pyx_t_double_complex z;
+        z.real = a.real * b.real - a.imag * b.imag;
+        z.imag = a.real * b.imag + a.imag * b.real;
+        return z;
+    }
+    #if 1
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        if (b.imag == 0) {
+            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
+        } else if (fabs(b.real) >= fabs(b.imag)) {
+            if (b.real == 0 && b.imag == 0) {
+                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
+            } else {
+                double r = b.imag / b.real;
+                double s = (double)(1.0) / (b.real + b.imag * r);
+                return __pyx_t_double_complex_from_parts(
+                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
+            }
+        } else {
+            double r = b.real / b.imag;
+            double s = (double)(1.0) / (b.imag + b.real * r);
+            return __pyx_t_double_complex_from_parts(
+                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
+        }
+    }
+    #else
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        if (b.imag == 0) {
+            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
+        } else {
+            double denom = b.real * b.real + b.imag * b.imag;
+            return __pyx_t_double_complex_from_parts(
+                (a.real * b.real + a.imag * b.imag) / denom,
+                (a.imag * b.real - a.real * b.imag) / denom);
+        }
+    }
+    #endif
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
+        __pyx_t_double_complex z;
+        z.real = -a.real;
+        z.imag = -a.imag;
+        return z;
+    }
+    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
+       return (a.real == 0) && (a.imag == 0);
+    }
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
+        __pyx_t_double_complex z;
+        z.real =  a.real;
+        z.imag = -a.imag;
+        return z;
+    }
+    #if 1
+        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
+          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
+            return sqrt(z.real*z.real + z.imag*z.imag);
+          #else
+            return hypot(z.real, z.imag);
+          #endif
+        }
+        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+            __pyx_t_double_complex z;
+            double r, lnr, theta, z_r, z_theta;
+            if (b.imag == 0 && b.real == (int)b.real) {
+                if (b.real < 0) {
+                    double denom = a.real * a.real + a.imag * a.imag;
+                    a.real = a.real / denom;
+                    a.imag = -a.imag / denom;
+                    b.real = -b.real;
+                }
+                switch ((int)b.real) {
+                    case 0:
+                        z.real = 1;
+                        z.imag = 0;
+                        return z;
+                    case 1:
+                        return a;
+                    case 2:
+                        return __Pyx_c_prod_double(a, a);
+                    case 3:
+                        z = __Pyx_c_prod_double(a, a);
+                        return __Pyx_c_prod_double(z, a);
+                    case 4:
+                        z = __Pyx_c_prod_double(a, a);
+                        return __Pyx_c_prod_double(z, z);
+                }
+            }
+            if (a.imag == 0) {
+                if (a.real == 0) {
+                    return a;
+                } else if (b.imag == 0) {
+                    z.real = pow(a.real, b.real);
+                    z.imag = 0;
+                    return z;
+                } else if (a.real > 0) {
+                    r = a.real;
+                    theta = 0;
+                } else {
+                    r = -a.real;
+                    theta = atan2(0.0, -1.0);
+                }
+            } else {
+                r = __Pyx_c_abs_double(a);
+                theta = atan2(a.imag, a.real);
+            }
+            lnr = log(r);
+            z_r = exp(lnr * b.real - theta * b.imag);
+            z_theta = theta * b.real + lnr * b.imag;
+            z.real = z_r * cos(z_theta);
+            z.imag = z_r * sin(z_theta);
+            return z;
+        }
+    #endif
+#endif
+
+/* MemviewSliceCopyTemplate */
+  static __Pyx_memviewslice
+__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
+                                 const char *mode, int ndim,
+                                 size_t sizeof_dtype, int contig_flag,
+                                 int dtype_is_object)
+{
+    __Pyx_RefNannyDeclarations
+    int i;
+    __Pyx_memviewslice new_mvs = { 0, 0, { 0 }, { 0 }, { 0 } };
+    struct __pyx_memoryview_obj *from_memview = from_mvs->memview;
+    Py_buffer *buf = &from_memview->view;
+    PyObject *shape_tuple = NULL;
+    PyObject *temp_int = NULL;
+    struct __pyx_array_obj *array_obj = NULL;
+    struct __pyx_memoryview_obj *memview_obj = NULL;
+    __Pyx_RefNannySetupContext("__pyx_memoryview_copy_new_contig", 0);
+    for (i = 0; i < ndim; i++) {
+        if (unlikely(from_mvs->suboffsets[i] >= 0)) {
+            PyErr_Format(PyExc_ValueError, "Cannot copy memoryview slice with "
+                                           "indirect dimensions (axis %d)", i);
+            goto fail;
+        }
+    }
+    shape_tuple = PyTuple_New(ndim);
+    if (unlikely(!shape_tuple)) {
+        goto fail;
+    }
+    __Pyx_GOTREF(shape_tuple);
+    for(i = 0; i < ndim; i++) {
+        temp_int = PyInt_FromSsize_t(from_mvs->shape[i]);
+        if(unlikely(!temp_int)) {
+            goto fail;
+        } else {
+            PyTuple_SET_ITEM(shape_tuple, i, temp_int);
+            temp_int = NULL;
+        }
+    }
+    array_obj = __pyx_array_new(shape_tuple, sizeof_dtype, buf->format, (char *) mode, NULL);
+    if (unlikely(!array_obj)) {
+        goto fail;
+    }
+    __Pyx_GOTREF(array_obj);
+    memview_obj = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
+                                    (PyObject *) array_obj, contig_flag,
+                                    dtype_is_object,
+                                    from_mvs->memview->typeinfo);
+    if (unlikely(!memview_obj))
+        goto fail;
+    if (unlikely(__Pyx_init_memviewslice(memview_obj, ndim, &new_mvs, 1) < 0))
+        goto fail;
+    if (unlikely(__pyx_memoryview_copy_contents(*from_mvs, new_mvs, ndim, ndim,
+                                                dtype_is_object) < 0))
+        goto fail;
+    goto no_fail;
+fail:
+    __Pyx_XDECREF(new_mvs.memview);
+    new_mvs.memview = NULL;
+    new_mvs.data = NULL;
+no_fail:
+    __Pyx_XDECREF(shape_tuple);
+    __Pyx_XDECREF(temp_int);
+    __Pyx_XDECREF(array_obj);
+    __Pyx_RefNannyFinishContext();
+    return new_mvs;
+}
+
+/* CIntToPy */
+  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const int neg_one = (int) -1, const_zero = (int) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+    if (is_unsigned) {
+        if (sizeof(int) < sizeof(long)) {
+            return PyInt_FromLong((long) value);
+        } else if (sizeof(int) <= sizeof(unsigned long)) {
+            return PyLong_FromUnsignedLong((unsigned long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
+#endif
+        }
+    } else {
+        if (sizeof(int) <= sizeof(long)) {
+            return PyInt_FromLong((long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
+            return PyLong_FromLongLong((PY_LONG_LONG) value);
+#endif
+        }
+    }
+    {
+        int one = 1; int little = (int)*(unsigned char *)&one;
+        unsigned char *bytes = (unsigned char *)&value;
+        return _PyLong_FromByteArray(bytes, sizeof(int),
+                                     little, !is_unsigned);
+    }
+}
+
+/* CIntToPy */
+  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_char(char value) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const char neg_one = (char) -1, const_zero = (char) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+    if (is_unsigned) {
+        if (sizeof(char) < sizeof(long)) {
+            return PyInt_FromLong((long) value);
+        } else if (sizeof(char) <= sizeof(unsigned long)) {
+            return PyLong_FromUnsignedLong((unsigned long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(char) <= sizeof(unsigned PY_LONG_LONG)) {
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
+#endif
+        }
+    } else {
+        if (sizeof(char) <= sizeof(long)) {
+            return PyInt_FromLong((long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(char) <= sizeof(PY_LONG_LONG)) {
+            return PyLong_FromLongLong((PY_LONG_LONG) value);
+#endif
+        }
+    }
+    {
+        int one = 1; int little = (int)*(unsigned char *)&one;
+        unsigned char *bytes = (unsigned char *)&value;
+        return _PyLong_FromByteArray(bytes, sizeof(char),
+                                     little, !is_unsigned);
+    }
+}
+
+/* CIntFromPy */
+  static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *x) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const char neg_one = (char) -1, const_zero = (char) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if (sizeof(char) < sizeof(long)) {
+            __PYX_VERIFY_RETURN_INT(char, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (char) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (char) 0;
+                case  1: __PYX_VERIFY_RETURN_INT(char, digit, digits[0])
+                case 2:
+                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) >= 2 * PyLong_SHIFT) {
+                            return (char) (((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) >= 3 * PyLong_SHIFT) {
+                            return (char) (((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) >= 4 * PyLong_SHIFT) {
+                            return (char) (((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
+                        }
+                    }
+                    break;
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (char) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if (sizeof(char) <= sizeof(unsigned long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(char) <= sizeof(unsigned PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (char) 0;
+                case -1: __PYX_VERIFY_RETURN_INT(char, sdigit, (sdigit) (-(sdigit)digits[0]))
+                case  1: __PYX_VERIFY_RETURN_INT(char,  digit, +digits[0])
+                case -2:
+                    if (8 * sizeof(char) - 1 > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
+                            return (char) (((char)-1)*(((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case 2:
+                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
+                            return (char) ((((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case -3:
+                    if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
+                            return (char) (((char)-1)*(((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
+                            return (char) ((((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case -4:
+                    if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
+                            return (char) (((char)-1)*(((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
+                            return (char) ((((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+            }
+#endif
+            if (sizeof(char) <= sizeof(long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(char, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(char) <= sizeof(PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(char, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
+            PyErr_SetString(PyExc_RuntimeError,
+                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
+#else
+            char val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+ #if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+ #endif
+            if (likely(v)) {
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                int ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                              bytes, sizeof(val),
+                                              is_little, !is_unsigned);
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+#endif
+            return (char) -1;
+        }
+    } else {
+        char val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (char) -1;
+        val = __Pyx_PyInt_As_char(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to char");
+    return (char) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to char");
+    return (char) -1;
+}
+
+/* CIntFromPy */
+  static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const int neg_one = (int) -1, const_zero = (int) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if (sizeof(int) < sizeof(long)) {
+            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (int) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (int) 0;
+                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
+                case 2:
+                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
+                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
+                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
+                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                        }
+                    }
+                    break;
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (int) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if (sizeof(int) <= sizeof(unsigned long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (int) 0;
+                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
+                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
+                case -2:
+                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
+                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case 2:
+                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
+                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case -3:
+                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
+                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
+                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case -4:
+                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
+                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
+                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+            }
+#endif
+            if (sizeof(int) <= sizeof(long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
+            PyErr_SetString(PyExc_RuntimeError,
+                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
+#else
+            int val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+ #if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+ #endif
+            if (likely(v)) {
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                int ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                              bytes, sizeof(val),
+                                              is_little, !is_unsigned);
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+#endif
+            return (int) -1;
+        }
+    } else {
+        int val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (int) -1;
+        val = __Pyx_PyInt_As_int(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to int");
+    return (int) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to int");
+    return (int) -1;
+}
+
+/* CIntToPy */
+  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const long neg_one = (long) -1, const_zero = (long) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+    if (is_unsigned) {
+        if (sizeof(long) < sizeof(long)) {
+            return PyInt_FromLong((long) value);
+        } else if (sizeof(long) <= sizeof(unsigned long)) {
+            return PyLong_FromUnsignedLong((unsigned long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
+#endif
+        }
+    } else {
+        if (sizeof(long) <= sizeof(long)) {
+            return PyInt_FromLong((long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
+            return PyLong_FromLongLong((PY_LONG_LONG) value);
+#endif
+        }
+    }
+    {
+        int one = 1; int little = (int)*(unsigned char *)&one;
+        unsigned char *bytes = (unsigned char *)&value;
+        return _PyLong_FromByteArray(bytes, sizeof(long),
+                                     little, !is_unsigned);
+    }
+}
+
+/* CIntFromPy */
+  static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const long neg_one = (long) -1, const_zero = (long) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if (sizeof(long) < sizeof(long)) {
+            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (long) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (long) 0;
+                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
+                case 2:
+                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
+                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
+                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
+                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                        }
+                    }
+                    break;
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (long) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if (sizeof(long) <= sizeof(unsigned long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (long) 0;
+                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
+                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
+                case -2:
+                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case 2:
+                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case -3:
+                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case -4:
+                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+            }
+#endif
+            if (sizeof(long) <= sizeof(long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
+            PyErr_SetString(PyExc_RuntimeError,
+                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
+#else
+            long val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+ #if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+ #endif
+            if (likely(v)) {
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                int ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                              bytes, sizeof(val),
+                                              is_little, !is_unsigned);
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+#endif
+            return (long) -1;
+        }
+    } else {
+        long val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (long) -1;
+        val = __Pyx_PyInt_As_long(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to long");
+    return (long) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to long");
+    return (long) -1;
+}
+
+/* CheckBinaryVersion */
+  static int __Pyx_check_binary_version(void) {
+    char ctversion[4], rtversion[4];
+    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
+    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
+    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
+        char message[200];
+        PyOS_snprintf(message, sizeof(message),
+                      "compiletime version %s of module '%.100s' "
+                      "does not match runtime version %s",
+                      ctversion, __Pyx_MODULE_NAME, rtversion);
+        return PyErr_WarnEx(NULL, message, 1);
+    }
+    return 0;
+}
+
+/* FunctionImport */
+  #ifndef __PYX_HAVE_RT_ImportFunction
+#define __PYX_HAVE_RT_ImportFunction
+static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig) {
+    PyObject *d = 0;
+    PyObject *cobj = 0;
+    union {
+        void (*fp)(void);
+        void *p;
+    } tmp;
+    d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
+    if (!d)
+        goto bad;
+    cobj = PyDict_GetItemString(d, funcname);
+    if (!cobj) {
+        PyErr_Format(PyExc_ImportError,
+            "%.200s does not export expected C function %.200s",
+                PyModule_GetName(module), funcname);
+        goto bad;
+    }
+#if PY_VERSION_HEX >= 0x02070000
+    if (!PyCapsule_IsValid(cobj, sig)) {
+        PyErr_Format(PyExc_TypeError,
+            "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
+             PyModule_GetName(module), funcname, sig, PyCapsule_GetName(cobj));
+        goto bad;
+    }
+    tmp.p = PyCapsule_GetPointer(cobj, sig);
+#else
+    {const char *desc, *s1, *s2;
+    desc = (const char *)PyCObject_GetDesc(cobj);
+    if (!desc)
+        goto bad;
+    s1 = desc; s2 = sig;
+    while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
+    if (*s1 != *s2) {
+        PyErr_Format(PyExc_TypeError,
+            "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
+             PyModule_GetName(module), funcname, sig, desc);
+        goto bad;
+    }
+    tmp.p = PyCObject_AsVoidPtr(cobj);}
+#endif
+    *f = tmp.fp;
+    if (!(*f))
+        goto bad;
+    Py_DECREF(d);
+    return 0;
+bad:
+    Py_XDECREF(d);
+    return -1;
+}
+#endif
+
+/* InitStrings */
+  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
+    while (t->p) {
+        #if PY_MAJOR_VERSION < 3
+        if (t->is_unicode) {
+            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
+        } else if (t->intern) {
+            *t->p = PyString_InternFromString(t->s);
+        } else {
+            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
+        }
+        #else
+        if (t->is_unicode | t->is_str) {
+            if (t->intern) {
+                *t->p = PyUnicode_InternFromString(t->s);
+            } else if (t->encoding) {
+                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
+            } else {
+                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
+            }
+        } else {
+            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
+        }
+        #endif
+        if (!*t->p)
+            return -1;
+        if (PyObject_Hash(*t->p) == -1)
+            return -1;
+        ++t;
+    }
+    return 0;
+}
+
+static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
+    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
+}
+static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
+    Py_ssize_t ignore;
+    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
+}
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+#if !CYTHON_PEP393_ENABLED
+static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+    char* defenc_c;
+    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
+    if (!defenc) return NULL;
+    defenc_c = PyBytes_AS_STRING(defenc);
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+    {
+        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
+        char* c;
+        for (c = defenc_c; c < end; c++) {
+            if ((unsigned char) (*c) >= 128) {
+                PyUnicode_AsASCIIString(o);
+                return NULL;
+            }
+        }
+    }
+#endif
+    *length = PyBytes_GET_SIZE(defenc);
+    return defenc_c;
+}
+#else
+static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+    if (likely(PyUnicode_IS_ASCII(o))) {
+        *length = PyUnicode_GET_LENGTH(o);
+        return PyUnicode_AsUTF8(o);
+    } else {
+        PyUnicode_AsASCIIString(o);
+        return NULL;
+    }
+#else
+    return PyUnicode_AsUTF8AndSize(o, length);
+#endif
+}
+#endif
+#endif
+static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+    if (
+#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+            __Pyx_sys_getdefaultencoding_not_ascii &&
+#endif
+            PyUnicode_Check(o)) {
+        return __Pyx_PyUnicode_AsStringAndSize(o, length);
+    } else
+#endif
+#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
+    if (PyByteArray_Check(o)) {
+        *length = PyByteArray_GET_SIZE(o);
+        return PyByteArray_AS_STRING(o);
+    } else
+#endif
+    {
+        char* result;
+        int r = PyBytes_AsStringAndSize(o, &result, length);
+        if (unlikely(r < 0)) {
+            return NULL;
+        } else {
+            return result;
+        }
+    }
+}
+static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
+   int is_true = x == Py_True;
+   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
+   else return PyObject_IsTrue(x);
+}
+static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
+    int retval;
+    if (unlikely(!x)) return -1;
+    retval = __Pyx_PyObject_IsTrue(x);
+    Py_DECREF(x);
+    return retval;
+}
+static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
+#if PY_MAJOR_VERSION >= 3
+    if (PyLong_Check(result)) {
+        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
+                "__int__ returned non-int (type %.200s).  "
+                "The ability to return an instance of a strict subclass of int "
+                "is deprecated, and may be removed in a future version of Python.",
+                Py_TYPE(result)->tp_name)) {
+            Py_DECREF(result);
+            return NULL;
+        }
+        return result;
+    }
+#endif
+    PyErr_Format(PyExc_TypeError,
+                 "__%.4s__ returned non-%.4s (type %.200s)",
+                 type_name, type_name, Py_TYPE(result)->tp_name);
+    Py_DECREF(result);
+    return NULL;
+}
+static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
+#if CYTHON_USE_TYPE_SLOTS
+  PyNumberMethods *m;
+#endif
+  const char *name = NULL;
+  PyObject *res = NULL;
+#if PY_MAJOR_VERSION < 3
+  if (likely(PyInt_Check(x) || PyLong_Check(x)))
+#else
+  if (likely(PyLong_Check(x)))
+#endif
+    return __Pyx_NewRef(x);
+#if CYTHON_USE_TYPE_SLOTS
+  m = Py_TYPE(x)->tp_as_number;
+  #if PY_MAJOR_VERSION < 3
+  if (m && m->nb_int) {
+    name = "int";
+    res = m->nb_int(x);
+  }
+  else if (m && m->nb_long) {
+    name = "long";
+    res = m->nb_long(x);
+  }
+  #else
+  if (likely(m && m->nb_int)) {
+    name = "int";
+    res = m->nb_int(x);
+  }
+  #endif
+#else
+  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
+    res = PyNumber_Int(x);
+  }
+#endif
+  if (likely(res)) {
+#if PY_MAJOR_VERSION < 3
+    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
+#else
+    if (unlikely(!PyLong_CheckExact(res))) {
+#endif
+        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
+    }
+  }
+  else if (!PyErr_Occurred()) {
+    PyErr_SetString(PyExc_TypeError,
+                    "an integer is required");
+  }
+  return res;
+}
+static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
+  Py_ssize_t ival;
+  PyObject *x;
+#if PY_MAJOR_VERSION < 3
+  if (likely(PyInt_CheckExact(b))) {
+    if (sizeof(Py_ssize_t) >= sizeof(long))
+        return PyInt_AS_LONG(b);
+    else
+        return PyInt_AsSsize_t(b);
+  }
+#endif
+  if (likely(PyLong_CheckExact(b))) {
+    #if CYTHON_USE_PYLONG_INTERNALS
+    const digit* digits = ((PyLongObject*)b)->ob_digit;
+    const Py_ssize_t size = Py_SIZE(b);
+    if (likely(__Pyx_sst_abs(size) <= 1)) {
+        ival = likely(size) ? digits[0] : 0;
+        if (size == -1) ival = -ival;
+        return ival;
+    } else {
+      switch (size) {
+         case 2:
+           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -2:
+           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case 3:
+           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -3:
+           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case 4:
+           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -4:
+           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+      }
+    }
+    #endif
+    return PyLong_AsSsize_t(b);
+  }
+  x = PyNumber_Index(b);
+  if (!x) return -1;
+  ival = PyInt_AsSsize_t(x);
+  Py_DECREF(x);
+  return ival;
+}
+static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
+  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
+}
+static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
+    return PyInt_FromSize_t(ival);
+}
+
+
+#endif /* Py_PYTHON_H */
diff --git a/fastXPCS/fastXPCS/cython/dense.pyx b/fastXPCS/fastXPCS/cython/dense.pyx
new file mode 100644
index 0000000..c97a537
--- /dev/null
+++ b/fastXPCS/fastXPCS/cython/dense.pyx
@@ -0,0 +1,192 @@
+cimport cython
+
+import numpy as np
+from scipy.linalg.cython_blas cimport ssyr, ssyr2
+
+@cython.boundscheck(False)
+@cython.wraparound(False)
+@cython.nonecheck(False)
+@cython.cdivision(True)
+cpdef ttcDense(float[:,::1] data, 
+               float[:,::1] prevDat, 
+               char[:,:,::1]  mask):
+    
+    cdef int i, j, k, m
+    
+    cdef int dim = data.shape[0]
+    cdef int n_reg = mask.shape[0]
+    
+
+#   cdef int n_trn = data.shape[0]
+    cdef int n_pix = data.shape[1]
+    
+    cdef float[:,:,::1] A = np.zeros(( n_reg, dim, dim), dtype=np.float32)
+    cdef float[:,:,::1] B = np.zeros_like(A)
+     
+    cdef int one = 1
+    cdef float fac = 1., half=0.5
+
+    cdef int[::1]  ixmsk = np.argmax(mask, axis=0).ravel().astype(np.int32)
+    cdef char[::1] cond = np.any(mask, axis=0).ravel().astype(np.int8)
+    
+#   for i in range(n_trn):
+    for j in range(n_pix):
+        
+        if cond[j]:
+            m = ixmsk[j]
+
+            ssyr(
+            "L",
+            &dim,
+            &fac,
+            &data[0 , j],
+            &n_pix,
+            &A[m,0,0],
+            &dim
+            )
+
+            ssyr2(
+            "L",
+            &dim,
+            &half,
+            &data[ 0 , j],
+            &n_pix,
+            &prevDat[ 0 , j],
+            &n_pix,
+            &B[m,0,0],
+            &dim
+            )
+                
+    
+    return np.asarray(A), np.asarray(B)
+
+@cython.boundscheck(False)
+@cython.wraparound(False)
+@cython.nonecheck(False)
+@cython.cdivision(True)
+cdef _ttc_upd(int val,
+              int* data, 
+              int* prevDat, 
+              int* A,
+              int* B,
+              int size,
+              int stride):
+
+    cdef int l, v2
+
+    for l in range(size):
+        v2 = data[l * stride]
+        A[l] += val * v2
+
+        v2 = prevDat[l * stride]
+        B[l] += val * v2
+
+@cython.boundscheck(False)
+@cython.wraparound(False)
+@cython.nonecheck(False)
+@cython.cdivision(True)
+cpdef ttcDense_int(int[:,::1] data, 
+                   int[:,::1] prevDat, 
+                   char[:,:,::1]  mask):
+    
+    cdef int i, j, k, m, l
+    cdef int v1, v2
+    
+    cdef int dim = data.shape[0]
+    cdef int n_reg = mask.shape[0]
+    
+
+#   cdef int n_trn = data.shape[0]
+    cdef int n_pix = data.shape[1]
+    
+    cdef int[:,:,::1] A = np.zeros(( n_reg, dim, dim), dtype=np.int32)
+    cdef int[:,:,::1] B = np.zeros_like(A)
+     
+    cdef int[::1]  ixmsk = np.argmax(mask, axis=0).ravel().astype(np.int32)
+    cdef char[::1] cond = np.any(mask, axis=0).ravel().astype(np.int8)
+    
+    for j in range(n_pix):
+        
+        if cond[j]:
+            m = ixmsk[j]
+
+            for k in range(dim):
+                v1 = data[k, j]
+
+                if v1:
+                    _ttc_upd(v1,
+                            &data[0,j],
+                            &prevDat[0,j],
+                            &A[m,k,0],
+                            &B[m,k,0],
+                            dim,
+                            n_pix)
+
+
+    
+    return np.asarray(A), np.asarray(B)
+
+
+
+
+@cython.boundscheck(False)
+@cython.wraparound(False)
+@cython.nonecheck(False)
+@cython.cdivision(True)
+cpdef ttcDenseSymmNorm(float[:,:,::1] data, 
+                       char[:,:,::1] mask):
+    
+    cdef int i, j, k, l, m
+    
+    cdef int dim = data.shape[1]
+    cdef int n_reg = mask.shape[0]
+    
+
+    cdef int n_trn = data.shape[0]
+    cdef int n_pix = data.shape[2]
+    
+    cdef float[:,:,:,::1] A = np.zeros((n_trn, n_reg, dim, dim), dtype=np.float32)
+    cdef float[:,::1]    _a = np.zeros((dim, dim),               dtype=np.float32 )
+    cdef float[:,:,::1]   N = np.zeros((n_trn, n_reg, dim),      dtype=np.float32)
+     
+    cdef int one = 1
+    cdef float fac = 1.
+    cdef float cs_left, cs_rght, nrm
+
+    cdef int[::1] ixmsk = np.argmax(mask, axis=0).ravel().astype(np.int32)
+    cdef char[::1] cond = np.any(mask, axis=0).ravel().astype(np.int8)
+    
+    for i in range(n_trn):
+        for j in range(n_pix):
+            
+            if cond[j]:
+                m = ixmsk[j]
+                
+                _a[:] = 0
+
+                ssyr(
+                "L",
+                &dim,
+                &fac,
+                &data[i, 0 , j],
+                &n_pix,
+                &_a[0,0],
+                &dim
+                )
+                
+                cs_left = 0
+                cs_rght = 0
+                for k in range(dim):
+                    cs_left += data[i, k,     j]
+                    cs_rght += data[i, dim-k-1, j]
+                    
+                    if cs_left and cs_rght:
+                        nrm =  ((k+1) * (k+1)) / (cs_left * cs_rght)
+                    else:
+                        nrm = 0
+                    
+                    for l in range(k+1):
+                        
+                        A[i,m,l,dim-k+l-1] += nrm *  _a[l, dim-k+l-1]
+    
+    return np.asarray(A)
diff --git a/fastXPCS/fastXPCS/cython/fxpcs_sparse.c b/fastXPCS/fastXPCS/cython/fxpcs_sparse.c
new file mode 100644
index 0000000..e44fe77
--- /dev/null
+++ b/fastXPCS/fastXPCS/cython/fxpcs_sparse.c
@@ -0,0 +1,24982 @@
+/* Generated by Cython 0.29.24 */
+
+/* BEGIN: Cython Metadata
+{
+    "distutils": {
+        "include_dirs": [
+            ".",
+            "/scratch/midonc/karabo/extern/lib/python3.8/site-packages/numpy-1.21.4-py3.8-linux-x86_64.egg/numpy/core/include"
+        ],
+        "name": "fxpcs_sparse",
+        "sources": [
+            "/home/midonc/git/fastxpcs/fastXPCS/cython/fxpcs_sparse.pyx"
+        ]
+    },
+    "module_name": "fxpcs_sparse"
+}
+END: Cython Metadata */
+
+#ifndef PY_SSIZE_T_CLEAN
+#define PY_SSIZE_T_CLEAN
+#endif /* PY_SSIZE_T_CLEAN */
+#include "Python.h"
+#ifndef Py_PYTHON_H
+    #error Python headers needed to compile C extensions, please install development version of Python.
+#elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
+    #error Cython requires Python 2.6+ or Python 3.3+.
+#else
+#define CYTHON_ABI "0_29_24"
+#define CYTHON_HEX_VERSION 0x001D18F0
+#define CYTHON_FUTURE_DIVISION 1
+#include <stddef.h>
+#ifndef offsetof
+  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
+#endif
+#if !defined(WIN32) && !defined(MS_WINDOWS)
+  #ifndef __stdcall
+    #define __stdcall
+  #endif
+  #ifndef __cdecl
+    #define __cdecl
+  #endif
+  #ifndef __fastcall
+    #define __fastcall
+  #endif
+#endif
+#ifndef DL_IMPORT
+  #define DL_IMPORT(t) t
+#endif
+#ifndef DL_EXPORT
+  #define DL_EXPORT(t) t
+#endif
+#define __PYX_COMMA ,
+#ifndef HAVE_LONG_LONG
+  #if PY_VERSION_HEX >= 0x02070000
+    #define HAVE_LONG_LONG
+  #endif
+#endif
+#ifndef PY_LONG_LONG
+  #define PY_LONG_LONG LONG_LONG
+#endif
+#ifndef Py_HUGE_VAL
+  #define Py_HUGE_VAL HUGE_VAL
+#endif
+#ifdef PYPY_VERSION
+  #define CYTHON_COMPILING_IN_PYPY 1
+  #define CYTHON_COMPILING_IN_PYSTON 0
+  #define CYTHON_COMPILING_IN_CPYTHON 0
+  #undef CYTHON_USE_TYPE_SLOTS
+  #define CYTHON_USE_TYPE_SLOTS 0
+  #undef CYTHON_USE_PYTYPE_LOOKUP
+  #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #if PY_VERSION_HEX < 0x03050000
+    #undef CYTHON_USE_ASYNC_SLOTS
+    #define CYTHON_USE_ASYNC_SLOTS 0
+  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
+    #define CYTHON_USE_ASYNC_SLOTS 1
+  #endif
+  #undef CYTHON_USE_PYLIST_INTERNALS
+  #define CYTHON_USE_PYLIST_INTERNALS 0
+  #undef CYTHON_USE_UNICODE_INTERNALS
+  #define CYTHON_USE_UNICODE_INTERNALS 0
+  #undef CYTHON_USE_UNICODE_WRITER
+  #define CYTHON_USE_UNICODE_WRITER 0
+  #undef CYTHON_USE_PYLONG_INTERNALS
+  #define CYTHON_USE_PYLONG_INTERNALS 0
+  #undef CYTHON_AVOID_BORROWED_REFS
+  #define CYTHON_AVOID_BORROWED_REFS 1
+  #undef CYTHON_ASSUME_SAFE_MACROS
+  #define CYTHON_ASSUME_SAFE_MACROS 0
+  #undef CYTHON_UNPACK_METHODS
+  #define CYTHON_UNPACK_METHODS 0
+  #undef CYTHON_FAST_THREAD_STATE
+  #define CYTHON_FAST_THREAD_STATE 0
+  #undef CYTHON_FAST_PYCALL
+  #define CYTHON_FAST_PYCALL 0
+  #undef CYTHON_PEP489_MULTI_PHASE_INIT
+  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
+  #undef CYTHON_USE_TP_FINALIZE
+  #define CYTHON_USE_TP_FINALIZE 0
+  #undef CYTHON_USE_DICT_VERSIONS
+  #define CYTHON_USE_DICT_VERSIONS 0
+  #undef CYTHON_USE_EXC_INFO_STACK
+  #define CYTHON_USE_EXC_INFO_STACK 0
+#elif defined(PYSTON_VERSION)
+  #define CYTHON_COMPILING_IN_PYPY 0
+  #define CYTHON_COMPILING_IN_PYSTON 1
+  #define CYTHON_COMPILING_IN_CPYTHON 0
+  #ifndef CYTHON_USE_TYPE_SLOTS
+    #define CYTHON_USE_TYPE_SLOTS 1
+  #endif
+  #undef CYTHON_USE_PYTYPE_LOOKUP
+  #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #undef CYTHON_USE_ASYNC_SLOTS
+  #define CYTHON_USE_ASYNC_SLOTS 0
+  #undef CYTHON_USE_PYLIST_INTERNALS
+  #define CYTHON_USE_PYLIST_INTERNALS 0
+  #ifndef CYTHON_USE_UNICODE_INTERNALS
+    #define CYTHON_USE_UNICODE_INTERNALS 1
+  #endif
+  #undef CYTHON_USE_UNICODE_WRITER
+  #define CYTHON_USE_UNICODE_WRITER 0
+  #undef CYTHON_USE_PYLONG_INTERNALS
+  #define CYTHON_USE_PYLONG_INTERNALS 0
+  #ifndef CYTHON_AVOID_BORROWED_REFS
+    #define CYTHON_AVOID_BORROWED_REFS 0
+  #endif
+  #ifndef CYTHON_ASSUME_SAFE_MACROS
+    #define CYTHON_ASSUME_SAFE_MACROS 1
+  #endif
+  #ifndef CYTHON_UNPACK_METHODS
+    #define CYTHON_UNPACK_METHODS 1
+  #endif
+  #undef CYTHON_FAST_THREAD_STATE
+  #define CYTHON_FAST_THREAD_STATE 0
+  #undef CYTHON_FAST_PYCALL
+  #define CYTHON_FAST_PYCALL 0
+  #undef CYTHON_PEP489_MULTI_PHASE_INIT
+  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
+  #undef CYTHON_USE_TP_FINALIZE
+  #define CYTHON_USE_TP_FINALIZE 0
+  #undef CYTHON_USE_DICT_VERSIONS
+  #define CYTHON_USE_DICT_VERSIONS 0
+  #undef CYTHON_USE_EXC_INFO_STACK
+  #define CYTHON_USE_EXC_INFO_STACK 0
+#else
+  #define CYTHON_COMPILING_IN_PYPY 0
+  #define CYTHON_COMPILING_IN_PYSTON 0
+  #define CYTHON_COMPILING_IN_CPYTHON 1
+  #ifndef CYTHON_USE_TYPE_SLOTS
+    #define CYTHON_USE_TYPE_SLOTS 1
+  #endif
+  #if PY_VERSION_HEX < 0x02070000
+    #undef CYTHON_USE_PYTYPE_LOOKUP
+    #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #elif !defined(CYTHON_USE_PYTYPE_LOOKUP)
+    #define CYTHON_USE_PYTYPE_LOOKUP 1
+  #endif
+  #if PY_MAJOR_VERSION < 3
+    #undef CYTHON_USE_ASYNC_SLOTS
+    #define CYTHON_USE_ASYNC_SLOTS 0
+  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
+    #define CYTHON_USE_ASYNC_SLOTS 1
+  #endif
+  #if PY_VERSION_HEX < 0x02070000
+    #undef CYTHON_USE_PYLONG_INTERNALS
+    #define CYTHON_USE_PYLONG_INTERNALS 0
+  #elif !defined(CYTHON_USE_PYLONG_INTERNALS)
+    #define CYTHON_USE_PYLONG_INTERNALS 1
+  #endif
+  #ifndef CYTHON_USE_PYLIST_INTERNALS
+    #define CYTHON_USE_PYLIST_INTERNALS 1
+  #endif
+  #ifndef CYTHON_USE_UNICODE_INTERNALS
+    #define CYTHON_USE_UNICODE_INTERNALS 1
+  #endif
+  #if PY_VERSION_HEX < 0x030300F0
+    #undef CYTHON_USE_UNICODE_WRITER
+    #define CYTHON_USE_UNICODE_WRITER 0
+  #elif !defined(CYTHON_USE_UNICODE_WRITER)
+    #define CYTHON_USE_UNICODE_WRITER 1
+  #endif
+  #ifndef CYTHON_AVOID_BORROWED_REFS
+    #define CYTHON_AVOID_BORROWED_REFS 0
+  #endif
+  #ifndef CYTHON_ASSUME_SAFE_MACROS
+    #define CYTHON_ASSUME_SAFE_MACROS 1
+  #endif
+  #ifndef CYTHON_UNPACK_METHODS
+    #define CYTHON_UNPACK_METHODS 1
+  #endif
+  #ifndef CYTHON_FAST_THREAD_STATE
+    #define CYTHON_FAST_THREAD_STATE 1
+  #endif
+  #ifndef CYTHON_FAST_PYCALL
+    #define CYTHON_FAST_PYCALL 1
+  #endif
+  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
+    #define CYTHON_PEP489_MULTI_PHASE_INIT (PY_VERSION_HEX >= 0x03050000)
+  #endif
+  #ifndef CYTHON_USE_TP_FINALIZE
+    #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1)
+  #endif
+  #ifndef CYTHON_USE_DICT_VERSIONS
+    #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1)
+  #endif
+  #ifndef CYTHON_USE_EXC_INFO_STACK
+    #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3)
+  #endif
+#endif
+#if !defined(CYTHON_FAST_PYCCALL)
+#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
+#endif
+#if CYTHON_USE_PYLONG_INTERNALS
+  #include "longintrepr.h"
+  #undef SHIFT
+  #undef BASE
+  #undef MASK
+  #ifdef SIZEOF_VOID_P
+    enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
+  #endif
+#endif
+#ifndef __has_attribute
+  #define __has_attribute(x) 0
+#endif
+#ifndef __has_cpp_attribute
+  #define __has_cpp_attribute(x) 0
+#endif
+#ifndef CYTHON_RESTRICT
+  #if defined(__GNUC__)
+    #define CYTHON_RESTRICT __restrict__
+  #elif defined(_MSC_VER) && _MSC_VER >= 1400
+    #define CYTHON_RESTRICT __restrict
+  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+    #define CYTHON_RESTRICT restrict
+  #else
+    #define CYTHON_RESTRICT
+  #endif
+#endif
+#ifndef CYTHON_UNUSED
+# if defined(__GNUC__)
+#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
+#     define CYTHON_UNUSED __attribute__ ((__unused__))
+#   else
+#     define CYTHON_UNUSED
+#   endif
+# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
+#   define CYTHON_UNUSED __attribute__ ((__unused__))
+# else
+#   define CYTHON_UNUSED
+# endif
+#endif
+#ifndef CYTHON_MAYBE_UNUSED_VAR
+#  if defined(__cplusplus)
+     template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
+#  else
+#    define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x)
+#  endif
+#endif
+#ifndef CYTHON_NCP_UNUSED
+# if CYTHON_COMPILING_IN_CPYTHON
+#  define CYTHON_NCP_UNUSED
+# else
+#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
+# endif
+#endif
+#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
+#ifdef _MSC_VER
+    #ifndef _MSC_STDINT_H_
+        #if _MSC_VER < 1300
+           typedef unsigned char     uint8_t;
+           typedef unsigned int      uint32_t;
+        #else
+           typedef unsigned __int8   uint8_t;
+           typedef unsigned __int32  uint32_t;
+        #endif
+    #endif
+#else
+   #include <stdint.h>
+#endif
+#ifndef CYTHON_FALLTHROUGH
+  #if defined(__cplusplus) && __cplusplus >= 201103L
+    #if __has_cpp_attribute(fallthrough)
+      #define CYTHON_FALLTHROUGH [[fallthrough]]
+    #elif __has_cpp_attribute(clang::fallthrough)
+      #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
+    #elif __has_cpp_attribute(gnu::fallthrough)
+      #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
+    #endif
+  #endif
+  #ifndef CYTHON_FALLTHROUGH
+    #if __has_attribute(fallthrough)
+      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
+    #else
+      #define CYTHON_FALLTHROUGH
+    #endif
+  #endif
+  #if defined(__clang__ ) && defined(__apple_build_version__)
+    #if __apple_build_version__ < 7000000
+      #undef  CYTHON_FALLTHROUGH
+      #define CYTHON_FALLTHROUGH
+    #endif
+  #endif
+#endif
+
+#ifndef CYTHON_INLINE
+  #if defined(__clang__)
+    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
+  #elif defined(__GNUC__)
+    #define CYTHON_INLINE __inline__
+  #elif defined(_MSC_VER)
+    #define CYTHON_INLINE __inline
+  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+    #define CYTHON_INLINE inline
+  #else
+    #define CYTHON_INLINE
+  #endif
+#endif
+
+#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
+  #define Py_OptimizeFlag 0
+#endif
+#define __PYX_BUILD_PY_SSIZE_T "n"
+#define CYTHON_FORMAT_SSIZE_T "z"
+#if PY_MAJOR_VERSION < 3
+  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
+  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
+          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+  #define __Pyx_DefaultClassType PyClass_Type
+#else
+  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
+#if PY_VERSION_HEX >= 0x030800A4 && PY_VERSION_HEX < 0x030800B2
+  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
+          PyCode_New(a, 0, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+#else
+  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
+          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+#endif
+  #define __Pyx_DefaultClassType PyType_Type
+#endif
+#ifndef Py_TPFLAGS_CHECKTYPES
+  #define Py_TPFLAGS_CHECKTYPES 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_INDEX
+  #define Py_TPFLAGS_HAVE_INDEX 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
+  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_FINALIZE
+  #define Py_TPFLAGS_HAVE_FINALIZE 0
+#endif
+#ifndef METH_STACKLESS
+  #define METH_STACKLESS 0
+#endif
+#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
+  #ifndef METH_FASTCALL
+     #define METH_FASTCALL 0x80
+  #endif
+  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
+  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
+                                                          Py_ssize_t nargs, PyObject *kwnames);
+#else
+  #define __Pyx_PyCFunctionFast _PyCFunctionFast
+  #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
+#endif
+#if CYTHON_FAST_PYCCALL
+#define __Pyx_PyFastCFunction_Check(func)\
+    ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)))))
+#else
+#define __Pyx_PyFastCFunction_Check(func) 0
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
+  #define PyObject_Malloc(s)   PyMem_Malloc(s)
+  #define PyObject_Free(p)     PyMem_Free(p)
+  #define PyObject_Realloc(p)  PyMem_Realloc(p)
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030400A1
+  #define PyMem_RawMalloc(n)           PyMem_Malloc(n)
+  #define PyMem_RawRealloc(p, n)       PyMem_Realloc(p, n)
+  #define PyMem_RawFree(p)             PyMem_Free(p)
+#endif
+#if CYTHON_COMPILING_IN_PYSTON
+  #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
+  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
+#else
+  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
+  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
+#endif
+#if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000
+  #define __Pyx_PyThreadState_Current PyThreadState_GET()
+#elif PY_VERSION_HEX >= 0x03060000
+  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
+#elif PY_VERSION_HEX >= 0x03000000
+  #define __Pyx_PyThreadState_Current PyThreadState_GET()
+#else
+  #define __Pyx_PyThreadState_Current _PyThreadState_Current
+#endif
+#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
+#include "pythread.h"
+#define Py_tss_NEEDS_INIT 0
+typedef int Py_tss_t;
+static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
+  *key = PyThread_create_key();
+  return 0;
+}
+static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
+  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
+  *key = Py_tss_NEEDS_INIT;
+  return key;
+}
+static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
+  PyObject_Free(key);
+}
+static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
+  return *key != Py_tss_NEEDS_INIT;
+}
+static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
+  PyThread_delete_key(*key);
+  *key = Py_tss_NEEDS_INIT;
+}
+static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
+  return PyThread_set_key_value(*key, value);
+}
+static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
+  return PyThread_get_key_value(*key);
+}
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
+#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
+#else
+#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
+#endif
+#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
+  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
+  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
+#else
+  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
+  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
+#define __Pyx_PyDict_GetItemStr(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
+#else
+#define __Pyx_PyDict_GetItemStr(dict, name)  PyDict_GetItem(dict, name)
+#endif
+#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
+  #define CYTHON_PEP393_ENABLED 1
+  #if defined(PyUnicode_IS_READY)
+  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
+                                              0 : _PyUnicode_Ready((PyObject *)(op)))
+  #else
+  #define __Pyx_PyUnicode_READY(op)       (0)
+  #endif
+  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
+  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
+  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
+  #define __Pyx_PyUnicode_KIND(u)         PyUnicode_KIND(u)
+  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
+  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
+  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
+  #if defined(PyUnicode_IS_READY) && defined(PyUnicode_GET_SIZE)
+  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
+  #else
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
+  #endif
+  #else
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
+  #endif
+#else
+  #define CYTHON_PEP393_ENABLED 0
+  #define PyUnicode_1BYTE_KIND  1
+  #define PyUnicode_2BYTE_KIND  2
+  #define PyUnicode_4BYTE_KIND  4
+  #define __Pyx_PyUnicode_READY(op)       (0)
+  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
+  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
+  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
+  #define __Pyx_PyUnicode_KIND(u)         (sizeof(Py_UNICODE))
+  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
+  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
+  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
+#endif
+#if CYTHON_COMPILING_IN_PYPY
+  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
+  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
+#else
+  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
+  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
+      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains)
+  #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
+  #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
+  #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
+#endif
+#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
+#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
+#if PY_MAJOR_VERSION >= 3
+  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
+#else
+  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
+#endif
+#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
+  #define PyObject_ASCII(o)            PyObject_Repr(o)
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyBaseString_Type            PyUnicode_Type
+  #define PyStringObject               PyUnicodeObject
+  #define PyString_Type                PyUnicode_Type
+  #define PyString_Check               PyUnicode_Check
+  #define PyString_CheckExact          PyUnicode_CheckExact
+#ifndef PyObject_Unicode
+  #define PyObject_Unicode             PyObject_Str
+#endif
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
+  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
+#else
+  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
+  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
+#endif
+#ifndef PySet_CheckExact
+  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
+#endif
+#if PY_VERSION_HEX >= 0x030900A4
+  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
+  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
+#else
+  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
+  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
+#endif
+#if CYTHON_ASSUME_SAFE_MACROS
+  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
+#else
+  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyIntObject                  PyLongObject
+  #define PyInt_Type                   PyLong_Type
+  #define PyInt_Check(op)              PyLong_Check(op)
+  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
+  #define PyInt_FromString             PyLong_FromString
+  #define PyInt_FromUnicode            PyLong_FromUnicode
+  #define PyInt_FromLong               PyLong_FromLong
+  #define PyInt_FromSize_t             PyLong_FromSize_t
+  #define PyInt_FromSsize_t            PyLong_FromSsize_t
+  #define PyInt_AsLong                 PyLong_AsLong
+  #define PyInt_AS_LONG                PyLong_AS_LONG
+  #define PyInt_AsSsize_t              PyLong_AsSsize_t
+  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
+  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
+  #define PyNumber_Int                 PyNumber_Long
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyBoolObject                 PyLongObject
+#endif
+#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
+  #ifndef PyUnicode_InternFromString
+    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
+  #endif
+#endif
+#if PY_VERSION_HEX < 0x030200A4
+  typedef long Py_hash_t;
+  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
+  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
+#else
+  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
+  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
+#else
+  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
+#endif
+#if CYTHON_USE_ASYNC_SLOTS
+  #if PY_VERSION_HEX >= 0x030500B1
+    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
+    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
+  #else
+    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
+  #endif
+#else
+  #define __Pyx_PyType_AsAsync(obj) NULL
+#endif
+#ifndef __Pyx_PyAsyncMethodsStruct
+    typedef struct {
+        unaryfunc am_await;
+        unaryfunc am_aiter;
+        unaryfunc am_anext;
+    } __Pyx_PyAsyncMethodsStruct;
+#endif
+
+#if defined(WIN32) || defined(MS_WINDOWS)
+  #define _USE_MATH_DEFINES
+#endif
+#include <math.h>
+#ifdef NAN
+#define __PYX_NAN() ((float) NAN)
+#else
+static CYTHON_INLINE float __PYX_NAN() {
+  float value;
+  memset(&value, 0xFF, sizeof(value));
+  return value;
+}
+#endif
+#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
+#define __Pyx_truncl trunc
+#else
+#define __Pyx_truncl truncl
+#endif
+
+#define __PYX_MARK_ERR_POS(f_index, lineno) \
+    { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__; (void)__pyx_clineno; }
+#define __PYX_ERR(f_index, lineno, Ln_error) \
+    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }
+
+#ifndef __PYX_EXTERN_C
+  #ifdef __cplusplus
+    #define __PYX_EXTERN_C extern "C"
+  #else
+    #define __PYX_EXTERN_C extern
+  #endif
+#endif
+
+#define __PYX_HAVE__fxpcs_sparse
+#define __PYX_HAVE_API__fxpcs_sparse
+/* Early includes */
+#include "pythread.h"
+#include <string.h>
+#include <stdlib.h>
+#include <stdio.h>
+#include "pystate.h"
+#ifdef _OPENMP
+#include <omp.h>
+#endif /* _OPENMP */
+
+#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
+#define CYTHON_WITHOUT_ASSERTIONS
+#endif
+
+typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
+                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;
+
+#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
+#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
+#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
+#define __PYX_DEFAULT_STRING_ENCODING ""
+#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
+#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
+#define __Pyx_uchar_cast(c) ((unsigned char)c)
+#define __Pyx_long_cast(x) ((long)x)
+#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
+    (sizeof(type) < sizeof(Py_ssize_t))  ||\
+    (sizeof(type) > sizeof(Py_ssize_t) &&\
+          likely(v < (type)PY_SSIZE_T_MAX ||\
+                 v == (type)PY_SSIZE_T_MAX)  &&\
+          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
+                                v == (type)PY_SSIZE_T_MIN)))  ||\
+    (sizeof(type) == sizeof(Py_ssize_t) &&\
+          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
+                               v == (type)PY_SSIZE_T_MAX)))  )
+static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
+    return (size_t) i < (size_t) limit;
+}
+#if defined (__cplusplus) && __cplusplus >= 201103L
+    #include <cstdlib>
+    #define __Pyx_sst_abs(value) std::abs(value)
+#elif SIZEOF_INT >= SIZEOF_SIZE_T
+    #define __Pyx_sst_abs(value) abs(value)
+#elif SIZEOF_LONG >= SIZEOF_SIZE_T
+    #define __Pyx_sst_abs(value) labs(value)
+#elif defined (_MSC_VER)
+    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
+#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+    #define __Pyx_sst_abs(value) llabs(value)
+#elif defined (__GNUC__)
+    #define __Pyx_sst_abs(value) __builtin_llabs(value)
+#else
+    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
+#endif
+static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
+static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
+#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
+#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
+#define __Pyx_PyBytes_FromString        PyBytes_FromString
+#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
+static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
+#if PY_MAJOR_VERSION < 3
+    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
+    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
+#else
+    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
+    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
+#endif
+#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
+#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
+#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
+#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
+#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
+static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
+    const Py_UNICODE *u_end = u;
+    while (*u_end++) ;
+    return (size_t)(u_end - u - 1);
+}
+#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
+#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
+#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
+#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
+#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
+static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
+static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
+static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
+static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
+#define __Pyx_PySequence_Tuple(obj)\
+    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
+static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
+static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
+#if CYTHON_ASSUME_SAFE_MACROS
+#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
+#else
+#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
+#endif
+#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
+#if PY_MAJOR_VERSION >= 3
+#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
+#else
+#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
+#endif
+#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
+#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+static int __Pyx_sys_getdefaultencoding_not_ascii;
+static int __Pyx_init_sys_getdefaultencoding_params(void) {
+    PyObject* sys;
+    PyObject* default_encoding = NULL;
+    PyObject* ascii_chars_u = NULL;
+    PyObject* ascii_chars_b = NULL;
+    const char* default_encoding_c;
+    sys = PyImport_ImportModule("sys");
+    if (!sys) goto bad;
+    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
+    Py_DECREF(sys);
+    if (!default_encoding) goto bad;
+    default_encoding_c = PyBytes_AsString(default_encoding);
+    if (!default_encoding_c) goto bad;
+    if (strcmp(default_encoding_c, "ascii") == 0) {
+        __Pyx_sys_getdefaultencoding_not_ascii = 0;
+    } else {
+        char ascii_chars[128];
+        int c;
+        for (c = 0; c < 128; c++) {
+            ascii_chars[c] = c;
+        }
+        __Pyx_sys_getdefaultencoding_not_ascii = 1;
+        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
+        if (!ascii_chars_u) goto bad;
+        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
+        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
+            PyErr_Format(
+                PyExc_ValueError,
+                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
+                default_encoding_c);
+            goto bad;
+        }
+        Py_DECREF(ascii_chars_u);
+        Py_DECREF(ascii_chars_b);
+    }
+    Py_DECREF(default_encoding);
+    return 0;
+bad:
+    Py_XDECREF(default_encoding);
+    Py_XDECREF(ascii_chars_u);
+    Py_XDECREF(ascii_chars_b);
+    return -1;
+}
+#endif
+#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
+#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
+#else
+#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
+#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+static char* __PYX_DEFAULT_STRING_ENCODING;
+static int __Pyx_init_sys_getdefaultencoding_params(void) {
+    PyObject* sys;
+    PyObject* default_encoding = NULL;
+    char* default_encoding_c;
+    sys = PyImport_ImportModule("sys");
+    if (!sys) goto bad;
+    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
+    Py_DECREF(sys);
+    if (!default_encoding) goto bad;
+    default_encoding_c = PyBytes_AsString(default_encoding);
+    if (!default_encoding_c) goto bad;
+    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
+    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
+    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
+    Py_DECREF(default_encoding);
+    return 0;
+bad:
+    Py_XDECREF(default_encoding);
+    return -1;
+}
+#endif
+#endif
+
+
+/* Test for GCC > 2.95 */
+#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
+  #define likely(x)   __builtin_expect(!!(x), 1)
+  #define unlikely(x) __builtin_expect(!!(x), 0)
+#else /* !__GNUC__ or GCC < 2.95 */
+  #define likely(x)   (x)
+  #define unlikely(x) (x)
+#endif /* __GNUC__ */
+static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
+
+static PyObject *__pyx_m = NULL;
+static PyObject *__pyx_d;
+static PyObject *__pyx_b;
+static PyObject *__pyx_cython_runtime = NULL;
+static PyObject *__pyx_empty_tuple;
+static PyObject *__pyx_empty_bytes;
+static PyObject *__pyx_empty_unicode;
+static int __pyx_lineno;
+static int __pyx_clineno = 0;
+static const char * __pyx_cfilenm= __FILE__;
+static const char *__pyx_filename;
+
+
+static const char *__pyx_f[] = {
+  "fastXPCS/cython/fxpcs_sparse.pyx",
+  "stringsource",
+};
+/* MemviewSliceStruct.proto */
+struct __pyx_memoryview_obj;
+typedef struct {
+  struct __pyx_memoryview_obj *memview;
+  char *data;
+  Py_ssize_t shape[8];
+  Py_ssize_t strides[8];
+  Py_ssize_t suboffsets[8];
+} __Pyx_memviewslice;
+#define __Pyx_MemoryView_Len(m)  (m.shape[0])
+
+/* Atomics.proto */
+#include <pythread.h>
+#ifndef CYTHON_ATOMICS
+    #define CYTHON_ATOMICS 1
+#endif
+#define __pyx_atomic_int_type int
+#if CYTHON_ATOMICS && __GNUC__ >= 4 && (__GNUC_MINOR__ > 1 ||\
+                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL >= 2)) &&\
+                    !defined(__i386__)
+    #define __pyx_atomic_incr_aligned(value, lock) __sync_fetch_and_add(value, 1)
+    #define __pyx_atomic_decr_aligned(value, lock) __sync_fetch_and_sub(value, 1)
+    #ifdef __PYX_DEBUG_ATOMICS
+        #warning "Using GNU atomics"
+    #endif
+#elif CYTHON_ATOMICS && defined(_MSC_VER) && 0
+    #include <Windows.h>
+    #undef __pyx_atomic_int_type
+    #define __pyx_atomic_int_type LONG
+    #define __pyx_atomic_incr_aligned(value, lock) InterlockedIncrement(value)
+    #define __pyx_atomic_decr_aligned(value, lock) InterlockedDecrement(value)
+    #ifdef __PYX_DEBUG_ATOMICS
+        #pragma message ("Using MSVC atomics")
+    #endif
+#elif CYTHON_ATOMICS && (defined(__ICC) || defined(__INTEL_COMPILER)) && 0
+    #define __pyx_atomic_incr_aligned(value, lock) _InterlockedIncrement(value)
+    #define __pyx_atomic_decr_aligned(value, lock) _InterlockedDecrement(value)
+    #ifdef __PYX_DEBUG_ATOMICS
+        #warning "Using Intel atomics"
+    #endif
+#else
+    #undef CYTHON_ATOMICS
+    #define CYTHON_ATOMICS 0
+    #ifdef __PYX_DEBUG_ATOMICS
+        #warning "Not using atomics"
+    #endif
+#endif
+typedef volatile __pyx_atomic_int_type __pyx_atomic_int;
+#if CYTHON_ATOMICS
+    #define __pyx_add_acquisition_count(memview)\
+             __pyx_atomic_incr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
+    #define __pyx_sub_acquisition_count(memview)\
+            __pyx_atomic_decr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
+#else
+    #define __pyx_add_acquisition_count(memview)\
+            __pyx_add_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
+    #define __pyx_sub_acquisition_count(memview)\
+            __pyx_sub_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
+#endif
+
+/* ForceInitThreads.proto */
+#ifndef __PYX_FORCE_INIT_THREADS
+  #define __PYX_FORCE_INIT_THREADS 0
+#endif
+
+/* NoFastGil.proto */
+#define __Pyx_PyGILState_Ensure PyGILState_Ensure
+#define __Pyx_PyGILState_Release PyGILState_Release
+#define __Pyx_FastGIL_Remember()
+#define __Pyx_FastGIL_Forget()
+#define __Pyx_FastGilFuncInit()
+
+/* BufferFormatStructs.proto */
+#define IS_UNSIGNED(type) (((type) -1) > 0)
+struct __Pyx_StructField_;
+#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
+typedef struct {
+  const char* name;
+  struct __Pyx_StructField_* fields;
+  size_t size;
+  size_t arraysize[8];
+  int ndim;
+  char typegroup;
+  char is_unsigned;
+  int flags;
+} __Pyx_TypeInfo;
+typedef struct __Pyx_StructField_ {
+  __Pyx_TypeInfo* type;
+  const char* name;
+  size_t offset;
+} __Pyx_StructField;
+typedef struct {
+  __Pyx_StructField* field;
+  size_t parent_offset;
+} __Pyx_BufFmt_StackElem;
+typedef struct {
+  __Pyx_StructField root;
+  __Pyx_BufFmt_StackElem* head;
+  size_t fmt_offset;
+  size_t new_count, enc_count;
+  size_t struct_alignment;
+  int is_complex;
+  char enc_type;
+  char new_packmode;
+  char enc_packmode;
+  char is_valid_array;
+} __Pyx_BufFmt_Context;
+
+
+/*--- Type declarations ---*/
+struct __pyx_array_obj;
+struct __pyx_MemviewEnum_obj;
+struct __pyx_memoryview_obj;
+struct __pyx_memoryviewslice_obj;
+
+/* "View.MemoryView":105
+ * 
+ * @cname("__pyx_array")
+ * cdef class array:             # <<<<<<<<<<<<<<
+ * 
+ *     cdef:
+ */
+struct __pyx_array_obj {
+  PyObject_HEAD
+  struct __pyx_vtabstruct_array *__pyx_vtab;
+  char *data;
+  Py_ssize_t len;
+  char *format;
+  int ndim;
+  Py_ssize_t *_shape;
+  Py_ssize_t *_strides;
+  Py_ssize_t itemsize;
+  PyObject *mode;
+  PyObject *_format;
+  void (*callback_free_data)(void *);
+  int free_data;
+  int dtype_is_object;
+};
+
+
+/* "View.MemoryView":279
+ * 
+ * @cname('__pyx_MemviewEnum')
+ * cdef class Enum(object):             # <<<<<<<<<<<<<<
+ *     cdef object name
+ *     def __init__(self, name):
+ */
+struct __pyx_MemviewEnum_obj {
+  PyObject_HEAD
+  PyObject *name;
+};
+
+
+/* "View.MemoryView":330
+ * 
+ * @cname('__pyx_memoryview')
+ * cdef class memoryview(object):             # <<<<<<<<<<<<<<
+ * 
+ *     cdef object obj
+ */
+struct __pyx_memoryview_obj {
+  PyObject_HEAD
+  struct __pyx_vtabstruct_memoryview *__pyx_vtab;
+  PyObject *obj;
+  PyObject *_size;
+  PyObject *_array_interface;
+  PyThread_type_lock lock;
+  __pyx_atomic_int acquisition_count[2];
+  __pyx_atomic_int *acquisition_count_aligned_p;
+  Py_buffer view;
+  int flags;
+  int dtype_is_object;
+  __Pyx_TypeInfo *typeinfo;
+};
+
+
+/* "View.MemoryView":965
+ * 
+ * @cname('__pyx_memoryviewslice')
+ * cdef class _memoryviewslice(memoryview):             # <<<<<<<<<<<<<<
+ *     "Internal class for passing memoryview slices to Python"
+ * 
+ */
+struct __pyx_memoryviewslice_obj {
+  struct __pyx_memoryview_obj __pyx_base;
+  __Pyx_memviewslice from_slice;
+  PyObject *from_object;
+  PyObject *(*to_object_func)(char *);
+  int (*to_dtype_func)(char *, PyObject *);
+};
+
+
+
+/* "View.MemoryView":105
+ * 
+ * @cname("__pyx_array")
+ * cdef class array:             # <<<<<<<<<<<<<<
+ * 
+ *     cdef:
+ */
+
+struct __pyx_vtabstruct_array {
+  PyObject *(*get_memview)(struct __pyx_array_obj *);
+};
+static struct __pyx_vtabstruct_array *__pyx_vtabptr_array;
+
+
+/* "View.MemoryView":330
+ * 
+ * @cname('__pyx_memoryview')
+ * cdef class memoryview(object):             # <<<<<<<<<<<<<<
+ * 
+ *     cdef object obj
+ */
+
+struct __pyx_vtabstruct_memoryview {
+  char *(*get_item_pointer)(struct __pyx_memoryview_obj *, PyObject *);
+  PyObject *(*is_slice)(struct __pyx_memoryview_obj *, PyObject *);
+  PyObject *(*setitem_slice_assignment)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);
+  PyObject *(*setitem_slice_assign_scalar)(struct __pyx_memoryview_obj *, struct __pyx_memoryview_obj *, PyObject *);
+  PyObject *(*setitem_indexed)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);
+  PyObject *(*convert_item_to_object)(struct __pyx_memoryview_obj *, char *);
+  PyObject *(*assign_item_from_object)(struct __pyx_memoryview_obj *, char *, PyObject *);
+};
+static struct __pyx_vtabstruct_memoryview *__pyx_vtabptr_memoryview;
+
+
+/* "View.MemoryView":965
+ * 
+ * @cname('__pyx_memoryviewslice')
+ * cdef class _memoryviewslice(memoryview):             # <<<<<<<<<<<<<<
+ *     "Internal class for passing memoryview slices to Python"
+ * 
+ */
+
+struct __pyx_vtabstruct__memoryviewslice {
+  struct __pyx_vtabstruct_memoryview __pyx_base;
+};
+static struct __pyx_vtabstruct__memoryviewslice *__pyx_vtabptr__memoryviewslice;
+
+/* --- Runtime support code (head) --- */
+/* Refnanny.proto */
+#ifndef CYTHON_REFNANNY
+  #define CYTHON_REFNANNY 0
+#endif
+#if CYTHON_REFNANNY
+  typedef struct {
+    void (*INCREF)(void*, PyObject*, int);
+    void (*DECREF)(void*, PyObject*, int);
+    void (*GOTREF)(void*, PyObject*, int);
+    void (*GIVEREF)(void*, PyObject*, int);
+    void* (*SetupContext)(const char*, int, const char*);
+    void (*FinishContext)(void**);
+  } __Pyx_RefNannyAPIStruct;
+  static __Pyx_RefNannyAPIStruct *__Pyx_RefNanny = NULL;
+  static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname);
+  #define __Pyx_RefNannyDeclarations void *__pyx_refnanny = NULL;
+#ifdef WITH_THREAD
+  #define __Pyx_RefNannySetupContext(name, acquire_gil)\
+          if (acquire_gil) {\
+              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();\
+              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__);\
+              PyGILState_Release(__pyx_gilstate_save);\
+          } else {\
+              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__);\
+          }
+#else
+  #define __Pyx_RefNannySetupContext(name, acquire_gil)\
+          __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__)
+#endif
+  #define __Pyx_RefNannyFinishContext()\
+          __Pyx_RefNanny->FinishContext(&__pyx_refnanny)
+  #define __Pyx_INCREF(r)  __Pyx_RefNanny->INCREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
+  #define __Pyx_DECREF(r)  __Pyx_RefNanny->DECREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
+  #define __Pyx_GOTREF(r)  __Pyx_RefNanny->GOTREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
+  #define __Pyx_GIVEREF(r) __Pyx_RefNanny->GIVEREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
+  #define __Pyx_XINCREF(r)  do { if((r) != NULL) {__Pyx_INCREF(r); }} while(0)
+  #define __Pyx_XDECREF(r)  do { if((r) != NULL) {__Pyx_DECREF(r); }} while(0)
+  #define __Pyx_XGOTREF(r)  do { if((r) != NULL) {__Pyx_GOTREF(r); }} while(0)
+  #define __Pyx_XGIVEREF(r) do { if((r) != NULL) {__Pyx_GIVEREF(r);}} while(0)
+#else
+  #define __Pyx_RefNannyDeclarations
+  #define __Pyx_RefNannySetupContext(name, acquire_gil)
+  #define __Pyx_RefNannyFinishContext()
+  #define __Pyx_INCREF(r) Py_INCREF(r)
+  #define __Pyx_DECREF(r) Py_DECREF(r)
+  #define __Pyx_GOTREF(r)
+  #define __Pyx_GIVEREF(r)
+  #define __Pyx_XINCREF(r) Py_XINCREF(r)
+  #define __Pyx_XDECREF(r) Py_XDECREF(r)
+  #define __Pyx_XGOTREF(r)
+  #define __Pyx_XGIVEREF(r)
+#endif
+#define __Pyx_XDECREF_SET(r, v) do {\
+        PyObject *tmp = (PyObject *) r;\
+        r = v; __Pyx_XDECREF(tmp);\
+    } while (0)
+#define __Pyx_DECREF_SET(r, v) do {\
+        PyObject *tmp = (PyObject *) r;\
+        r = v; __Pyx_DECREF(tmp);\
+    } while (0)
+#define __Pyx_CLEAR(r)    do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
+#define __Pyx_XCLEAR(r)   do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0)
+
+/* PyObjectGetAttrStr.proto */
+#if CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
+#else
+#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
+#endif
+
+/* GetBuiltinName.proto */
+static PyObject *__Pyx_GetBuiltinName(PyObject *name);
+
+/* ListAppend.proto */
+#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
+static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
+    PyListObject* L = (PyListObject*) list;
+    Py_ssize_t len = Py_SIZE(list);
+    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
+        Py_INCREF(x);
+        PyList_SET_ITEM(list, len, x);
+        __Pyx_SET_SIZE(list, len + 1);
+        return 0;
+    }
+    return PyList_Append(list, x);
+}
+#else
+#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
+#endif
+
+/* PyDictVersioning.proto */
+#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
+#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
+#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
+#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
+    (version_var) = __PYX_GET_DICT_VERSION(dict);\
+    (cache_var) = (value);
+#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
+    static PY_UINT64_T __pyx_dict_version = 0;\
+    static PyObject *__pyx_dict_cached_value = NULL;\
+    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
+        (VAR) = __pyx_dict_cached_value;\
+    } else {\
+        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
+        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
+    }\
+}
+static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
+static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
+static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
+#else
+#define __PYX_GET_DICT_VERSION(dict)  (0)
+#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
+#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
+#endif
+
+/* GetModuleGlobalName.proto */
+#if CYTHON_USE_DICT_VERSIONS
+#define __Pyx_GetModuleGlobalName(var, name)  {\
+    static PY_UINT64_T __pyx_dict_version = 0;\
+    static PyObject *__pyx_dict_cached_value = NULL;\
+    (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_d))) ?\
+        (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\
+        __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
+}
+#define __Pyx_GetModuleGlobalNameUncached(var, name)  {\
+    PY_UINT64_T __pyx_dict_version;\
+    PyObject *__pyx_dict_cached_value;\
+    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
+}
+static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
+#else
+#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
+#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
+static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
+#endif
+
+/* PyObjectCall.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
+#else
+#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
+#endif
+
+/* MemviewSliceInit.proto */
+#define __Pyx_BUF_MAX_NDIMS %(BUF_MAX_NDIMS)d
+#define __Pyx_MEMVIEW_DIRECT   1
+#define __Pyx_MEMVIEW_PTR      2
+#define __Pyx_MEMVIEW_FULL     4
+#define __Pyx_MEMVIEW_CONTIG   8
+#define __Pyx_MEMVIEW_STRIDED  16
+#define __Pyx_MEMVIEW_FOLLOW   32
+#define __Pyx_IS_C_CONTIG 1
+#define __Pyx_IS_F_CONTIG 2
+static int __Pyx_init_memviewslice(
+                struct __pyx_memoryview_obj *memview,
+                int ndim,
+                __Pyx_memviewslice *memviewslice,
+                int memview_is_new_reference);
+static CYTHON_INLINE int __pyx_add_acquisition_count_locked(
+    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);
+static CYTHON_INLINE int __pyx_sub_acquisition_count_locked(
+    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);
+#define __pyx_get_slice_count_pointer(memview) (memview->acquisition_count_aligned_p)
+#define __pyx_get_slice_count(memview) (*__pyx_get_slice_count_pointer(memview))
+#define __PYX_INC_MEMVIEW(slice, have_gil) __Pyx_INC_MEMVIEW(slice, have_gil, __LINE__)
+#define __PYX_XDEC_MEMVIEW(slice, have_gil) __Pyx_XDEC_MEMVIEW(slice, have_gil, __LINE__)
+static CYTHON_INLINE void __Pyx_INC_MEMVIEW(__Pyx_memviewslice *, int, int);
+static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *, int, int);
+
+/* RaiseArgTupleInvalid.proto */
+static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
+    Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found);
+
+/* RaiseDoubleKeywords.proto */
+static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);
+
+/* ParseKeywords.proto */
+static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
+    PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,\
+    const char* function_name);
+
+/* BufferIndexError.proto */
+static void __Pyx_RaiseBufferIndexError(int axis);
+
+/* ArgTypeTest.proto */
+#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
+    ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\
+        __Pyx__ArgTypeTest(obj, type, name, exact))
+static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);
+
+/* PyCFunctionFastCall.proto */
+#if CYTHON_FAST_PYCCALL
+static CYTHON_INLINE PyObject *__Pyx_PyCFunction_FastCall(PyObject *func, PyObject **args, Py_ssize_t nargs);
+#else
+#define __Pyx_PyCFunction_FastCall(func, args, nargs)  (assert(0), NULL)
+#endif
+
+/* PyFunctionFastCall.proto */
+#if CYTHON_FAST_PYCALL
+#define __Pyx_PyFunction_FastCall(func, args, nargs)\
+    __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL)
+#if 1 || PY_VERSION_HEX < 0x030600B1
+static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
+#else
+#define __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs) _PyFunction_FastCallDict(func, args, nargs, kwargs)
+#endif
+#define __Pyx_BUILD_ASSERT_EXPR(cond)\
+    (sizeof(char [1 - 2*!(cond)]) - 1)
+#ifndef Py_MEMBER_SIZE
+#define Py_MEMBER_SIZE(type, member) sizeof(((type *)0)->member)
+#endif
+  static size_t __pyx_pyframe_localsplus_offset = 0;
+  #include "frameobject.h"
+  #define __Pxy_PyFrame_Initialize_Offsets()\
+    ((void)__Pyx_BUILD_ASSERT_EXPR(sizeof(PyFrameObject) == offsetof(PyFrameObject, f_localsplus) + Py_MEMBER_SIZE(PyFrameObject, f_localsplus)),\
+     (void)(__pyx_pyframe_localsplus_offset = ((size_t)PyFrame_Type.tp_basicsize) - Py_MEMBER_SIZE(PyFrameObject, f_localsplus)))
+  #define __Pyx_PyFrame_GetLocalsplus(frame)\
+    (assert(__pyx_pyframe_localsplus_offset), (PyObject **)(((char *)(frame)) + __pyx_pyframe_localsplus_offset))
+#endif
+
+/* PyObjectCall2Args.proto */
+static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);
+
+/* PyObjectCallMethO.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
+#endif
+
+/* PyObjectCallOneArg.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);
+
+/* PyObjectCallNoArg.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
+#else
+#define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL)
+#endif
+
+/* PyIntCompare.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);
+
+/* PyIntBinop.proto */
+#if !CYTHON_COMPILING_IN_PYPY
+static PyObject* __Pyx_PyInt_SubtractObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
+#else
+#define __Pyx_PyInt_SubtractObjC(op1, op2, intval, inplace, zerodivision_check)\
+    (inplace ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2))
+#endif
+
+/* PyThreadStateGet.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
+#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
+#define __Pyx_PyErr_Occurred()  __pyx_tstate->curexc_type
+#else
+#define __Pyx_PyThreadState_declare
+#define __Pyx_PyThreadState_assign
+#define __Pyx_PyErr_Occurred()  PyErr_Occurred()
+#endif
+
+/* PyErrFetchRestore.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
+#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
+#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
+#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
+#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
+static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#if CYTHON_COMPILING_IN_CPYTHON
+#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
+#else
+#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
+#endif
+#else
+#define __Pyx_PyErr_Clear() PyErr_Clear()
+#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
+#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
+#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
+#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
+#endif
+
+/* RaiseException.proto */
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
+
+/* IncludeStringH.proto */
+#include <string.h>
+
+/* BytesEquals.proto */
+static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);
+
+/* UnicodeEquals.proto */
+static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);
+
+/* StrEquals.proto */
+#if PY_MAJOR_VERSION >= 3
+#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
+#else
+#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
+#endif
+
+/* None.proto */
+static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t, Py_ssize_t);
+
+/* UnaryNegOverflows.proto */
+#define UNARY_NEG_WOULD_OVERFLOW(x)\
+        (((x) < 0) & ((unsigned long)(x) == 0-(unsigned long)(x)))
+
+static CYTHON_UNUSED int __pyx_array_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
+static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *); /*proto*/
+/* GetAttr.proto */
+static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);
+
+/* GetItemInt.proto */
+#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
+    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
+    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\
+    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\
+               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
+#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
+    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
+    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
+    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
+                                                              int wraparound, int boundscheck);
+#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
+    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
+    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
+    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
+                                                              int wraparound, int boundscheck);
+static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
+                                                     int is_list, int wraparound, int boundscheck);
+
+/* ObjectGetItem.proto */
+#if CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key);
+#else
+#define __Pyx_PyObject_GetItem(obj, key)  PyObject_GetItem(obj, key)
+#endif
+
+/* decode_c_string_utf16.proto */
+static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16(const char *s, Py_ssize_t size, const char *errors) {
+    int byteorder = 0;
+    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
+}
+static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16LE(const char *s, Py_ssize_t size, const char *errors) {
+    int byteorder = -1;
+    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
+}
+static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16BE(const char *s, Py_ssize_t size, const char *errors) {
+    int byteorder = 1;
+    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
+}
+
+/* decode_c_string.proto */
+static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
+         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
+         const char* encoding, const char* errors,
+         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));
+
+/* PyErrExceptionMatches.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
+static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
+#else
+#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
+#endif
+
+/* GetAttr3.proto */
+static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);
+
+/* RaiseTooManyValuesToUnpack.proto */
+static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);
+
+/* RaiseNeedMoreValuesToUnpack.proto */
+static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);
+
+/* RaiseNoneIterError.proto */
+static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);
+
+/* ExtTypeTest.proto */
+static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);
+
+/* GetTopmostException.proto */
+#if CYTHON_USE_EXC_INFO_STACK
+static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
+#endif
+
+/* SaveResetException.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
+#else
+#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
+#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
+#endif
+
+/* GetException.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
+static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#else
+static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
+#endif
+
+/* SwapException.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#else
+static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
+#endif
+
+/* Import.proto */
+static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);
+
+/* FastTypeChecks.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
+static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
+#else
+#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
+#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
+#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
+#endif
+#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
+
+static CYTHON_UNUSED int __pyx_memoryview_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
+/* ListCompAppend.proto */
+#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
+static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
+    PyListObject* L = (PyListObject*) list;
+    Py_ssize_t len = Py_SIZE(list);
+    if (likely(L->allocated > len)) {
+        Py_INCREF(x);
+        PyList_SET_ITEM(list, len, x);
+        __Pyx_SET_SIZE(list, len + 1);
+        return 0;
+    }
+    return PyList_Append(list, x);
+}
+#else
+#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
+#endif
+
+/* PyIntBinop.proto */
+#if !CYTHON_COMPILING_IN_PYPY
+static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
+#else
+#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace, zerodivision_check)\
+    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
+#endif
+
+/* ListExtend.proto */
+static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v) {
+#if CYTHON_COMPILING_IN_CPYTHON
+    PyObject* none = _PyList_Extend((PyListObject*)L, v);
+    if (unlikely(!none))
+        return -1;
+    Py_DECREF(none);
+    return 0;
+#else
+    return PyList_SetSlice(L, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, v);
+#endif
+}
+
+/* None.proto */
+static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);
+
+/* None.proto */
+static CYTHON_INLINE long __Pyx_div_long(long, long);
+
+/* ImportFrom.proto */
+static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);
+
+/* HasAttr.proto */
+static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);
+
+/* PyObject_GenericGetAttrNoDict.proto */
+#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
+#else
+#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
+#endif
+
+/* PyObject_GenericGetAttr.proto */
+#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
+static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
+#else
+#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
+#endif
+
+/* SetVTable.proto */
+static int __Pyx_SetVtable(PyObject *dict, void *vtable);
+
+/* PyObjectGetAttrStrNoError.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);
+
+/* SetupReduce.proto */
+static int __Pyx_setup_reduce(PyObject* type_obj);
+
+/* CLineInTraceback.proto */
+#ifdef CYTHON_CLINE_IN_TRACEBACK
+#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
+#else
+static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
+#endif
+
+/* CodeObjectCache.proto */
+typedef struct {
+    PyCodeObject* code_object;
+    int code_line;
+} __Pyx_CodeObjectCacheEntry;
+struct __Pyx_CodeObjectCache {
+    int count;
+    int max_count;
+    __Pyx_CodeObjectCacheEntry* entries;
+};
+static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
+static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
+static PyCodeObject *__pyx_find_code_object(int code_line);
+static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);
+
+/* AddTraceback.proto */
+static void __Pyx_AddTraceback(const char *funcname, int c_line,
+                               int py_line, const char *filename);
+
+#if PY_MAJOR_VERSION < 3
+    static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
+    static void __Pyx_ReleaseBuffer(Py_buffer *view);
+#else
+    #define __Pyx_GetBuffer PyObject_GetBuffer
+    #define __Pyx_ReleaseBuffer PyBuffer_Release
+#endif
+
+
+/* BufferStructDeclare.proto */
+typedef struct {
+  Py_ssize_t shape, strides, suboffsets;
+} __Pyx_Buf_DimInfo;
+typedef struct {
+  size_t refcount;
+  Py_buffer pybuffer;
+} __Pyx_Buffer;
+typedef struct {
+  __Pyx_Buffer *rcbuffer;
+  char *data;
+  __Pyx_Buf_DimInfo diminfo[8];
+} __Pyx_LocalBuf_ND;
+
+/* MemviewSliceIsContig.proto */
+static int __pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim);
+
+/* OverlappingSlices.proto */
+static int __pyx_slices_overlap(__Pyx_memviewslice *slice1,
+                                __Pyx_memviewslice *slice2,
+                                int ndim, size_t itemsize);
+
+/* Capsule.proto */
+static CYTHON_INLINE PyObject *__pyx_capsule_create(void *p, const char *sig);
+
+/* IsLittleEndian.proto */
+static CYTHON_INLINE int __Pyx_Is_Little_Endian(void);
+
+/* BufferFormatCheck.proto */
+static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts);
+static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
+                              __Pyx_BufFmt_StackElem* stack,
+                              __Pyx_TypeInfo* type);
+
+/* TypeInfoCompare.proto */
+static int __pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b);
+
+/* MemviewSliceValidateAndInit.proto */
+static int __Pyx_ValidateAndInit_memviewslice(
+                int *axes_specs,
+                int c_or_f_flag,
+                int buf_flags,
+                int ndim,
+                __Pyx_TypeInfo *dtype,
+                __Pyx_BufFmt_StackElem stack[],
+                __Pyx_memviewslice *memviewslice,
+                PyObject *original_obj);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_int(PyObject *, int writable_flag);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_unsigned_int(PyObject *, int writable_flag);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_unsigned_int(PyObject *, int writable_flag);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_char(PyObject *, int writable_flag);
+
+/* GCCDiagnostics.proto */
+#if defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
+#define __Pyx_HAS_GCC_DIAGNOSTIC
+#endif
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_float(PyObject *, int writable_flag);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_short(PyObject *, int writable_flag);
+
+/* MemviewDtypeToObject.proto */
+static CYTHON_INLINE PyObject *__pyx_memview_get_unsigned_int(const char *itemp);
+static CYTHON_INLINE int __pyx_memview_set_unsigned_int(const char *itemp, PyObject *obj);
+
+/* MemviewDtypeToObject.proto */
+static CYTHON_INLINE PyObject *__pyx_memview_get_short(const char *itemp);
+static CYTHON_INLINE int __pyx_memview_set_short(const char *itemp, PyObject *obj);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_int(PyObject *, int writable_flag);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_int(PyObject *, int writable_flag);
+
+/* MemviewDtypeToObject.proto */
+static CYTHON_INLINE PyObject *__pyx_memview_get_char(const char *itemp);
+static CYTHON_INLINE int __pyx_memview_set_char(const char *itemp, PyObject *obj);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_char(PyObject *, int writable_flag);
+
+/* MemviewDtypeToObject.proto */
+static CYTHON_INLINE PyObject *__pyx_memview_get_int(const char *itemp);
+static CYTHON_INLINE int __pyx_memview_set_int(const char *itemp, PyObject *obj);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_float(PyObject *, int writable_flag);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_float(PyObject *, int writable_flag);
+
+/* MemviewDtypeToObject.proto */
+static CYTHON_INLINE PyObject *__pyx_memview_get_float(const char *itemp);
+static CYTHON_INLINE int __pyx_memview_set_float(const char *itemp, PyObject *obj);
+
+/* MemviewSliceCopyTemplate.proto */
+static __Pyx_memviewslice
+__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
+                                 const char *mode, int ndim,
+                                 size_t sizeof_dtype, int contig_flag,
+                                 int dtype_is_object);
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);
+
+/* CIntToPy.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);
+
+/* CIntToPy.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_unsigned_int(unsigned int value);
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE unsigned int __Pyx_PyInt_As_unsigned_int(PyObject *);
+
+/* CIntToPy.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_short(short value);
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE short __Pyx_PyInt_As_short(PyObject *);
+
+/* CIntToPy.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_char(char value);
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *);
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);
+
+/* CIntToPy.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
+
+/* CheckBinaryVersion.proto */
+static int __Pyx_check_binary_version(void);
+
+/* InitStrings.proto */
+static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
+
+static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *__pyx_v_self); /* proto*/
+static char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto*/
+static PyObject *__pyx_memoryview_is_slice(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj); /* proto*/
+static PyObject *__pyx_memoryview_setitem_slice_assignment(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_dst, PyObject *__pyx_v_src); /* proto*/
+static PyObject *__pyx_memoryview_setitem_slice_assign_scalar(struct __pyx_memoryview_obj *__pyx_v_self, struct __pyx_memoryview_obj *__pyx_v_dst, PyObject *__pyx_v_value); /* proto*/
+static PyObject *__pyx_memoryview_setitem_indexed(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto*/
+static PyObject *__pyx_memoryview_convert_item_to_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
+static PyObject *__pyx_memoryview_assign_item_from_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
+static PyObject *__pyx_memoryviewslice_convert_item_to_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
+static PyObject *__pyx_memoryviewslice_assign_item_from_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
+
+/* Module declarations from 'cython.view' */
+
+/* Module declarations from 'cython' */
+
+/* Module declarations from 'fxpcs_sparse' */
+static PyTypeObject *__pyx_array_type = 0;
+static PyTypeObject *__pyx_MemviewEnum_type = 0;
+static PyTypeObject *__pyx_memoryview_type = 0;
+static PyTypeObject *__pyx_memoryviewslice_type = 0;
+static PyObject *generic = 0;
+static PyObject *strided = 0;
+static PyObject *indirect = 0;
+static PyObject *contiguous = 0;
+static PyObject *indirect_contiguous = 0;
+static int __pyx_memoryview_thread_locks_used;
+static PyThread_type_lock __pyx_memoryview_thread_locks[8];
+static struct __pyx_array_obj *__pyx_array_new(PyObject *, Py_ssize_t, char *, char *, char *); /*proto*/
+static void *__pyx_align_pointer(void *, size_t); /*proto*/
+static PyObject *__pyx_memoryview_new(PyObject *, int, int, __Pyx_TypeInfo *); /*proto*/
+static CYTHON_INLINE int __pyx_memoryview_check(PyObject *); /*proto*/
+static PyObject *_unellipsify(PyObject *, int); /*proto*/
+static PyObject *assert_direct_dimensions(Py_ssize_t *, int); /*proto*/
+static struct __pyx_memoryview_obj *__pyx_memview_slice(struct __pyx_memoryview_obj *, PyObject *); /*proto*/
+static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int, int); /*proto*/
+static char *__pyx_pybuffer_index(Py_buffer *, char *, Py_ssize_t, Py_ssize_t); /*proto*/
+static int __pyx_memslice_transpose(__Pyx_memviewslice *); /*proto*/
+static PyObject *__pyx_memoryview_fromslice(__Pyx_memviewslice, int, PyObject *(*)(char *), int (*)(char *, PyObject *), int); /*proto*/
+static __Pyx_memviewslice *__pyx_memoryview_get_slice_from_memoryview(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
+static void __pyx_memoryview_slice_copy(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
+static PyObject *__pyx_memoryview_copy_object(struct __pyx_memoryview_obj *); /*proto*/
+static PyObject *__pyx_memoryview_copy_object_from_slice(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
+static Py_ssize_t abs_py_ssize_t(Py_ssize_t); /*proto*/
+static char __pyx_get_best_slice_order(__Pyx_memviewslice *, int); /*proto*/
+static void _copy_strided_to_strided(char *, Py_ssize_t *, char *, Py_ssize_t *, Py_ssize_t *, Py_ssize_t *, int, size_t); /*proto*/
+static void copy_strided_to_strided(__Pyx_memviewslice *, __Pyx_memviewslice *, int, size_t); /*proto*/
+static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *, int); /*proto*/
+static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *, Py_ssize_t *, Py_ssize_t, int, char); /*proto*/
+static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *, __Pyx_memviewslice *, char, int); /*proto*/
+static int __pyx_memoryview_err_extents(int, Py_ssize_t, Py_ssize_t); /*proto*/
+static int __pyx_memoryview_err_dim(PyObject *, char *, int); /*proto*/
+static int __pyx_memoryview_err(PyObject *, char *); /*proto*/
+static int __pyx_memoryview_copy_contents(__Pyx_memviewslice, __Pyx_memviewslice, int, int, int); /*proto*/
+static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *, int, int); /*proto*/
+static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *, int, int, int); /*proto*/
+static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
+static void __pyx_memoryview_refcount_objects_in_slice(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
+static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *, int, size_t, void *, int); /*proto*/
+static void __pyx_memoryview__slice_assign_scalar(char *, Py_ssize_t *, Py_ssize_t *, int, size_t, void *); /*proto*/
+static PyObject *__pyx_unpickle_Enum__set_state(struct __pyx_MemviewEnum_obj *, PyObject *); /*proto*/
+static __Pyx_TypeInfo __Pyx_TypeInfo_int = { "int", NULL, sizeof(int), { 0 }, 0, IS_UNSIGNED(int) ? 'U' : 'I', IS_UNSIGNED(int), 0 };
+static __Pyx_TypeInfo __Pyx_TypeInfo_unsigned_int = { "unsigned int", NULL, sizeof(unsigned int), { 0 }, 0, IS_UNSIGNED(unsigned int) ? 'U' : 'I', IS_UNSIGNED(unsigned int), 0 };
+static __Pyx_TypeInfo __Pyx_TypeInfo_char = { "char", NULL, sizeof(char), { 0 }, 0, 'H', IS_UNSIGNED(char), 0 };
+static __Pyx_TypeInfo __Pyx_TypeInfo_float = { "float", NULL, sizeof(float), { 0 }, 0, 'R', 0, 0 };
+static __Pyx_TypeInfo __Pyx_TypeInfo_short = { "short", NULL, sizeof(short), { 0 }, 0, IS_UNSIGNED(short) ? 'U' : 'I', IS_UNSIGNED(short), 0 };
+#define __Pyx_MODULE_NAME "fxpcs_sparse"
+extern int __pyx_module_is_main_fxpcs_sparse;
+int __pyx_module_is_main_fxpcs_sparse = 0;
+
+/* Implementation of 'fxpcs_sparse' */
+static PyObject *__pyx_builtin_range;
+static PyObject *__pyx_builtin_ValueError;
+static PyObject *__pyx_builtin_MemoryError;
+static PyObject *__pyx_builtin_enumerate;
+static PyObject *__pyx_builtin_TypeError;
+static PyObject *__pyx_builtin_Ellipsis;
+static PyObject *__pyx_builtin_id;
+static PyObject *__pyx_builtin_IndexError;
+static const char __pyx_k_A[] = "A";
+static const char __pyx_k_O[] = "O";
+static const char __pyx_k_a[] = "a";
+static const char __pyx_k_b[] = "b";
+static const char __pyx_k_c[] = "c";
+static const char __pyx_k_i[] = "i";
+static const char __pyx_k_j[] = "j";
+static const char __pyx_k_k[] = "k";
+static const char __pyx_k_l[] = "l";
+static const char __pyx_k_m[] = "m";
+static const char __pyx_k_n[] = "n";
+static const char __pyx_k_r[] = "r";
+static const char __pyx_k_v[] = "v";
+static const char __pyx_k_id[] = "id";
+static const char __pyx_k_j1[] = "j1";
+static const char __pyx_k_j2[] = "j2";
+static const char __pyx_k_k1[] = "k1";
+static const char __pyx_k_k2[] = "k2";
+static const char __pyx_k_np[] = "np";
+static const char __pyx_k_rP[] = "rP";
+static const char __pyx_k_s1[] = "s1";
+static const char __pyx_k_s2[] = "s2";
+static const char __pyx_k_any[] = "any";
+static const char __pyx_k_avg[] = "avg";
+static const char __pyx_k_col[] = "col";
+static const char __pyx_k_dim[] = "dim";
+static const char __pyx_k_idx[] = "idx";
+static const char __pyx_k_new[] = "__new__";
+static const char __pyx_k_nrm[] = "nrm";
+static const char __pyx_k_obj[] = "obj";
+static const char __pyx_k_out[] = "out";
+static const char __pyx_k_row[] = "row";
+static const char __pyx_k_ttc[] = "ttc";
+static const char __pyx_k_val[] = "val";
+static const char __pyx_k_axis[] = "axis";
+static const char __pyx_k_base[] = "base";
+static const char __pyx_k_cell[] = "cell";
+static const char __pyx_k_col1[] = "col1";
+static const char __pyx_k_col2[] = "col2";
+static const char __pyx_k_cond[] = "cond";
+static const char __pyx_k_data[] = "data";
+static const char __pyx_k_dict[] = "__dict__";
+static const char __pyx_k_elem[] = "elem";
+static const char __pyx_k_int8[] = "int8";
+static const char __pyx_k_main[] = "__main__";
+static const char __pyx_k_mask[] = "mask";
+static const char __pyx_k_mode[] = "mode";
+static const char __pyx_k_name[] = "name";
+static const char __pyx_k_ndim[] = "ndim";
+static const char __pyx_k_pack[] = "pack";
+static const char __pyx_k_reps[] = "reps";
+static const char __pyx_k_rmax[] = "rmax";
+static const char __pyx_k_rmin[] = "rmin";
+static const char __pyx_k_row1[] = "row1";
+static const char __pyx_k_row2[] = "row2";
+static const char __pyx_k_s_on[] = "s_on";
+static const char __pyx_k_size[] = "size";
+static const char __pyx_k_step[] = "step";
+static const char __pyx_k_stop[] = "stop";
+static const char __pyx_k_test[] = "__test__";
+static const char __pyx_k_val1[] = "val1";
+static const char __pyx_k_val2[] = "val2";
+static const char __pyx_k_ASCII[] = "ASCII";
+static const char __pyx_k_class[] = "__class__";
+static const char __pyx_k_dtype[] = "dtype";
+static const char __pyx_k_error[] = "error";
+static const char __pyx_k_flags[] = "flags";
+static const char __pyx_k_int16[] = "int16";
+static const char __pyx_k_int32[] = "int32";
+static const char __pyx_k_ixmsk[] = "ixmsk";
+static const char __pyx_k_lst_r[] = "lst_r";
+static const char __pyx_k_n_reg[] = "n_reg";
+static const char __pyx_k_numpy[] = "numpy";
+static const char __pyx_k_range[] = "range";
+static const char __pyx_k_ravel[] = "ravel";
+static const char __pyx_k_s_cnt[] = "s_cnt";
+static const char __pyx_k_s_off[] = "s_off";
+static const char __pyx_k_shape[] = "shape";
+static const char __pyx_k_start[] = "start";
+static const char __pyx_k_zeros[] = "zeros";
+static const char __pyx_k_argmax[] = "argmax";
+static const char __pyx_k_astype[] = "astype";
+static const char __pyx_k_encode[] = "encode";
+static const char __pyx_k_format[] = "format";
+static const char __pyx_k_import[] = "__import__";
+static const char __pyx_k_ix_old[] = "ix_old";
+static const char __pyx_k_lst_rP[] = "lst_rP";
+static const char __pyx_k_name_2[] = "__name__";
+static const char __pyx_k_pickle[] = "pickle";
+static const char __pyx_k_pixels[] = "pixels";
+static const char __pyx_k_reduce[] = "__reduce__";
+static const char __pyx_k_struct[] = "struct";
+static const char __pyx_k_ttc_on[] = "ttc_on";
+static const char __pyx_k_uint32[] = "uint32";
+static const char __pyx_k_unpack[] = "unpack";
+static const char __pyx_k_update[] = "update";
+static const char __pyx_k_asarray[] = "asarray";
+static const char __pyx_k_densify[] = "densify";
+static const char __pyx_k_float32[] = "float32";
+static const char __pyx_k_fortran[] = "fortran";
+static const char __pyx_k_indices[] = "indices";
+static const char __pyx_k_memview[] = "memview";
+static const char __pyx_k_ttc_off[] = "ttc_off";
+static const char __pyx_k_twoTime[] = "twoTime";
+static const char __pyx_k_Ellipsis[] = "Ellipsis";
+static const char __pyx_k_getstate[] = "__getstate__";
+static const char __pyx_k_itemsize[] = "itemsize";
+static const char __pyx_k_pyx_type[] = "__pyx_type";
+static const char __pyx_k_setstate[] = "__setstate__";
+static const char __pyx_k_sparsify[] = "sparsify";
+static const char __pyx_k_TypeError[] = "TypeError";
+static const char __pyx_k_enumerate[] = "enumerate";
+static const char __pyx_k_pyx_state[] = "__pyx_state";
+static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
+static const char __pyx_k_reps_prev[] = "reps_prev";
+static const char __pyx_k_sparsify2[] = "sparsify2";
+static const char __pyx_k_IndexError[] = "IndexError";
+static const char __pyx_k_ValueError[] = "ValueError";
+static const char __pyx_k_pyx_result[] = "__pyx_result";
+static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
+static const char __pyx_k_MemoryError[] = "MemoryError";
+static const char __pyx_k_PickleError[] = "PickleError";
+static const char __pyx_k_fxpcs_sparse[] = "fxpcs_sparse";
+static const char __pyx_k_indices_prev[] = "indices_prev";
+static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
+static const char __pyx_k_stringsource[] = "stringsource";
+static const char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";
+static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
+static const char __pyx_k_View_MemoryView[] = "View.MemoryView";
+static const char __pyx_k_allocate_buffer[] = "allocate_buffer";
+static const char __pyx_k_dtype_is_object[] = "dtype_is_object";
+static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
+static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
+static const char __pyx_k_twoTimeSymmNorm[] = "twoTimeSymmNorm";
+static const char __pyx_k_pyx_unpickle_Enum[] = "__pyx_unpickle_Enum";
+static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
+static const char __pyx_k_strided_and_direct[] = "<strided and direct>";
+static const char __pyx_k_strided_and_indirect[] = "<strided and indirect>";
+static const char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";
+static const char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";
+static const char __pyx_k_MemoryView_of_r_at_0x_x[] = "<MemoryView of %r at 0x%x>";
+static const char __pyx_k_contiguous_and_indirect[] = "<contiguous and indirect>";
+static const char __pyx_k_Cannot_index_with_type_s[] = "Cannot index with type '%s'";
+static const char __pyx_k_Invalid_shape_in_axis_d_d[] = "Invalid shape in axis %d: %d.";
+static const char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
+static const char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";
+static const char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";
+static const char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";
+static const char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";
+static const char __pyx_k_Cannot_assign_to_read_only_memor[] = "Cannot assign to read-only memoryview";
+static const char __pyx_k_Cannot_create_writable_memory_vi[] = "Cannot create writable memory view from read-only memoryview";
+static const char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
+static const char __pyx_k_Incompatible_checksums_s_vs_0xb0[] = "Incompatible checksums (%s vs 0xb068931 = (name))";
+static const char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
+static const char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got %s";
+static const char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %d)";
+static const char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
+static const char __pyx_k_fastXPCS_cython_fxpcs_sparse_pyx[] = "fastXPCS/cython/fxpcs_sparse.pyx";
+static const char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %d and %d)";
+static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
+static const char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";
+static PyObject *__pyx_n_s_A;
+static PyObject *__pyx_n_s_ASCII;
+static PyObject *__pyx_kp_s_Buffer_view_does_not_expose_stri;
+static PyObject *__pyx_kp_s_Can_only_create_a_buffer_that_is;
+static PyObject *__pyx_kp_s_Cannot_assign_to_read_only_memor;
+static PyObject *__pyx_kp_s_Cannot_create_writable_memory_vi;
+static PyObject *__pyx_kp_s_Cannot_index_with_type_s;
+static PyObject *__pyx_n_s_Ellipsis;
+static PyObject *__pyx_kp_s_Empty_shape_tuple_for_cython_arr;
+static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xb0;
+static PyObject *__pyx_n_s_IndexError;
+static PyObject *__pyx_kp_s_Indirect_dimensions_not_supporte;
+static PyObject *__pyx_kp_s_Invalid_mode_expected_c_or_fortr;
+static PyObject *__pyx_kp_s_Invalid_shape_in_axis_d_d;
+static PyObject *__pyx_n_s_MemoryError;
+static PyObject *__pyx_kp_s_MemoryView_of_r_at_0x_x;
+static PyObject *__pyx_kp_s_MemoryView_of_r_object;
+static PyObject *__pyx_n_b_O;
+static PyObject *__pyx_kp_s_Out_of_bounds_on_buffer_access_a;
+static PyObject *__pyx_n_s_PickleError;
+static PyObject *__pyx_n_s_TypeError;
+static PyObject *__pyx_kp_s_Unable_to_convert_item_to_object;
+static PyObject *__pyx_n_s_ValueError;
+static PyObject *__pyx_n_s_View_MemoryView;
+static PyObject *__pyx_n_s_a;
+static PyObject *__pyx_n_s_allocate_buffer;
+static PyObject *__pyx_n_s_any;
+static PyObject *__pyx_n_s_argmax;
+static PyObject *__pyx_n_s_asarray;
+static PyObject *__pyx_n_s_astype;
+static PyObject *__pyx_n_s_avg;
+static PyObject *__pyx_n_s_axis;
+static PyObject *__pyx_n_s_b;
+static PyObject *__pyx_n_s_base;
+static PyObject *__pyx_n_s_c;
+static PyObject *__pyx_n_u_c;
+static PyObject *__pyx_n_s_cell;
+static PyObject *__pyx_n_s_class;
+static PyObject *__pyx_n_s_cline_in_traceback;
+static PyObject *__pyx_n_s_col;
+static PyObject *__pyx_n_s_col1;
+static PyObject *__pyx_n_s_col2;
+static PyObject *__pyx_n_s_cond;
+static PyObject *__pyx_kp_s_contiguous_and_direct;
+static PyObject *__pyx_kp_s_contiguous_and_indirect;
+static PyObject *__pyx_n_s_data;
+static PyObject *__pyx_n_s_densify;
+static PyObject *__pyx_n_s_dict;
+static PyObject *__pyx_n_s_dim;
+static PyObject *__pyx_n_s_dtype;
+static PyObject *__pyx_n_s_dtype_is_object;
+static PyObject *__pyx_n_s_elem;
+static PyObject *__pyx_n_s_encode;
+static PyObject *__pyx_n_s_enumerate;
+static PyObject *__pyx_n_s_error;
+static PyObject *__pyx_kp_s_fastXPCS_cython_fxpcs_sparse_pyx;
+static PyObject *__pyx_n_s_flags;
+static PyObject *__pyx_n_s_float32;
+static PyObject *__pyx_n_s_format;
+static PyObject *__pyx_n_s_fortran;
+static PyObject *__pyx_n_u_fortran;
+static PyObject *__pyx_n_s_fxpcs_sparse;
+static PyObject *__pyx_n_s_getstate;
+static PyObject *__pyx_kp_s_got_differing_extents_in_dimensi;
+static PyObject *__pyx_n_s_i;
+static PyObject *__pyx_n_s_id;
+static PyObject *__pyx_n_s_idx;
+static PyObject *__pyx_n_s_import;
+static PyObject *__pyx_n_s_indices;
+static PyObject *__pyx_n_s_indices_prev;
+static PyObject *__pyx_n_s_int16;
+static PyObject *__pyx_n_s_int32;
+static PyObject *__pyx_n_s_int8;
+static PyObject *__pyx_n_s_itemsize;
+static PyObject *__pyx_kp_s_itemsize_0_for_cython_array;
+static PyObject *__pyx_n_s_ix_old;
+static PyObject *__pyx_n_s_ixmsk;
+static PyObject *__pyx_n_s_j;
+static PyObject *__pyx_n_s_j1;
+static PyObject *__pyx_n_s_j2;
+static PyObject *__pyx_n_s_k;
+static PyObject *__pyx_n_s_k1;
+static PyObject *__pyx_n_s_k2;
+static PyObject *__pyx_n_s_l;
+static PyObject *__pyx_n_s_lst_r;
+static PyObject *__pyx_n_s_lst_rP;
+static PyObject *__pyx_n_s_m;
+static PyObject *__pyx_n_s_main;
+static PyObject *__pyx_n_s_mask;
+static PyObject *__pyx_n_s_memview;
+static PyObject *__pyx_n_s_mode;
+static PyObject *__pyx_n_s_n;
+static PyObject *__pyx_n_s_n_reg;
+static PyObject *__pyx_n_s_name;
+static PyObject *__pyx_n_s_name_2;
+static PyObject *__pyx_n_s_ndim;
+static PyObject *__pyx_n_s_new;
+static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
+static PyObject *__pyx_n_s_np;
+static PyObject *__pyx_n_s_nrm;
+static PyObject *__pyx_n_s_numpy;
+static PyObject *__pyx_n_s_obj;
+static PyObject *__pyx_n_s_out;
+static PyObject *__pyx_n_s_pack;
+static PyObject *__pyx_n_s_pickle;
+static PyObject *__pyx_n_s_pixels;
+static PyObject *__pyx_n_s_pyx_PickleError;
+static PyObject *__pyx_n_s_pyx_checksum;
+static PyObject *__pyx_n_s_pyx_getbuffer;
+static PyObject *__pyx_n_s_pyx_result;
+static PyObject *__pyx_n_s_pyx_state;
+static PyObject *__pyx_n_s_pyx_type;
+static PyObject *__pyx_n_s_pyx_unpickle_Enum;
+static PyObject *__pyx_n_s_pyx_vtable;
+static PyObject *__pyx_n_s_r;
+static PyObject *__pyx_n_s_rP;
+static PyObject *__pyx_n_s_range;
+static PyObject *__pyx_n_s_ravel;
+static PyObject *__pyx_n_s_reduce;
+static PyObject *__pyx_n_s_reduce_cython;
+static PyObject *__pyx_n_s_reduce_ex;
+static PyObject *__pyx_n_s_reps;
+static PyObject *__pyx_n_s_reps_prev;
+static PyObject *__pyx_n_s_rmax;
+static PyObject *__pyx_n_s_rmin;
+static PyObject *__pyx_n_s_row;
+static PyObject *__pyx_n_s_row1;
+static PyObject *__pyx_n_s_row2;
+static PyObject *__pyx_n_s_s1;
+static PyObject *__pyx_n_s_s2;
+static PyObject *__pyx_n_s_s_cnt;
+static PyObject *__pyx_n_s_s_off;
+static PyObject *__pyx_n_s_s_on;
+static PyObject *__pyx_n_s_setstate;
+static PyObject *__pyx_n_s_setstate_cython;
+static PyObject *__pyx_n_s_shape;
+static PyObject *__pyx_n_s_size;
+static PyObject *__pyx_n_s_sparsify;
+static PyObject *__pyx_n_s_sparsify2;
+static PyObject *__pyx_n_s_start;
+static PyObject *__pyx_n_s_step;
+static PyObject *__pyx_n_s_stop;
+static PyObject *__pyx_kp_s_strided_and_direct;
+static PyObject *__pyx_kp_s_strided_and_direct_or_indirect;
+static PyObject *__pyx_kp_s_strided_and_indirect;
+static PyObject *__pyx_kp_s_stringsource;
+static PyObject *__pyx_n_s_struct;
+static PyObject *__pyx_n_s_test;
+static PyObject *__pyx_n_s_ttc;
+static PyObject *__pyx_n_s_ttc_off;
+static PyObject *__pyx_n_s_ttc_on;
+static PyObject *__pyx_n_s_twoTime;
+static PyObject *__pyx_n_s_twoTimeSymmNorm;
+static PyObject *__pyx_n_s_uint32;
+static PyObject *__pyx_kp_s_unable_to_allocate_array_data;
+static PyObject *__pyx_kp_s_unable_to_allocate_shape_and_str;
+static PyObject *__pyx_n_s_unpack;
+static PyObject *__pyx_n_s_update;
+static PyObject *__pyx_n_s_v;
+static PyObject *__pyx_n_s_val;
+static PyObject *__pyx_n_s_val1;
+static PyObject *__pyx_n_s_val2;
+static PyObject *__pyx_n_s_zeros;
+static PyObject *__pyx_pf_12fxpcs_sparse_sparsify(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_data); /* proto */
+static PyObject *__pyx_pf_12fxpcs_sparse_2sparsify2(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_pixels, __Pyx_memviewslice __pyx_v_indices, __Pyx_memviewslice __pyx_v_out); /* proto */
+static PyObject *__pyx_pf_12fxpcs_sparse_4densify(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_indices, PyObject *__pyx_v_size); /* proto */
+static PyObject *__pyx_pf_12fxpcs_sparse_6twoTime(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_indices, __Pyx_memviewslice __pyx_v_reps, CYTHON_UNUSED __Pyx_memviewslice __pyx_v_indices_prev, __Pyx_memviewslice __pyx_v_reps_prev, __Pyx_memviewslice __pyx_v_mask, int __pyx_v_dim); /* proto */
+static PyObject *__pyx_pf_12fxpcs_sparse_8twoTimeSymmNorm(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_indices, __Pyx_memviewslice __pyx_v_reps, __Pyx_memviewslice __pyx_v_mask, __Pyx_memviewslice __pyx_v_avg, int __pyx_v_dim); /* proto */
+static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */
+static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
+static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */
+static Py_ssize_t __pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__len__(struct __pyx_array_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
+static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
+static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_12__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */
+static PyObject *__pyx_pf___pyx_array___reduce_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_array_2__setstate_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
+static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
+static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_MemviewEnum___reduce_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_MemviewEnum_2__setstate_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
+static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview___cinit__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj, int __pyx_v_flags, int __pyx_v_dtype_is_object); /* proto */
+static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_4__getitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto */
+static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_6__setitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */
+static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_5shape___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_7strides___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_10suboffsets___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4ndim___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_8itemsize___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_6nbytes___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4size___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static Py_ssize_t __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_10__len__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_14__str__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_16is_c_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_18is_f_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_20copy(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_22copy_fortran(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_memoryview___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_memoryview_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
+static void __pyx_memoryviewslice___pyx_pf_15View_dot_MemoryView_16_memoryviewslice___dealloc__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_16_memoryviewslice_4base___get__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_memoryviewslice___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_memoryviewslice_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView___pyx_unpickle_Enum(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
+static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
+static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
+static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
+static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
+static PyObject *__pyx_int_0;
+static PyObject *__pyx_int_1;
+static PyObject *__pyx_int_184977713;
+static PyObject *__pyx_int_neg_1;
+static PyObject *__pyx_tuple_;
+static PyObject *__pyx_tuple__2;
+static PyObject *__pyx_tuple__3;
+static PyObject *__pyx_tuple__4;
+static PyObject *__pyx_tuple__5;
+static PyObject *__pyx_tuple__6;
+static PyObject *__pyx_tuple__7;
+static PyObject *__pyx_tuple__8;
+static PyObject *__pyx_tuple__9;
+static PyObject *__pyx_slice__15;
+static PyObject *__pyx_tuple__10;
+static PyObject *__pyx_tuple__11;
+static PyObject *__pyx_tuple__12;
+static PyObject *__pyx_tuple__13;
+static PyObject *__pyx_tuple__14;
+static PyObject *__pyx_tuple__16;
+static PyObject *__pyx_tuple__17;
+static PyObject *__pyx_tuple__18;
+static PyObject *__pyx_tuple__19;
+static PyObject *__pyx_tuple__21;
+static PyObject *__pyx_tuple__23;
+static PyObject *__pyx_tuple__25;
+static PyObject *__pyx_tuple__27;
+static PyObject *__pyx_tuple__29;
+static PyObject *__pyx_tuple__30;
+static PyObject *__pyx_tuple__31;
+static PyObject *__pyx_tuple__32;
+static PyObject *__pyx_tuple__33;
+static PyObject *__pyx_tuple__34;
+static PyObject *__pyx_codeobj__20;
+static PyObject *__pyx_codeobj__22;
+static PyObject *__pyx_codeobj__24;
+static PyObject *__pyx_codeobj__26;
+static PyObject *__pyx_codeobj__28;
+static PyObject *__pyx_codeobj__35;
+/* Late includes */
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+/* "fxpcs_sparse.pyx":6
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+ * def sparsify( int[:,::1] data):             # <<<<<<<<<<<<<<
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+/* Python wrapper */
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+  int __pyx_v_i;
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+        goto __pyx_L11_bool_binop_done;
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+      __pyx_t_10 = 0;
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+      __pyx_v_step = __pyx_t_10;
+
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+ * 
+ *             have_start = index.start is not None             # <<<<<<<<<<<<<<
+ *             have_stop = index.stop is not None
+ *             have_step = index.step is not None
+ */
+      __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_n_s_start); if (unlikely(!__pyx_t_9)) __PYX_ERR(1, 764, __pyx_L1_error)
+      __Pyx_GOTREF(__pyx_t_9);
+      __pyx_t_1 = (__pyx_t_9 != Py_None);
+      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
+      __pyx_v_have_start = __pyx_t_1;
+
+      /* "View.MemoryView":765
+ * 
+ *             have_start = index.start is not None
+ *             have_stop = index.stop is not None             # <<<<<<<<<<<<<<
+ *             have_step = index.step is not None
+ * 
+ */
+      __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_n_s_stop); if (unlikely(!__pyx_t_9)) __PYX_ERR(1, 765, __pyx_L1_error)
+      __Pyx_GOTREF(__pyx_t_9);
+      __pyx_t_1 = (__pyx_t_9 != Py_None);
+      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
+      __pyx_v_have_stop = __pyx_t_1;
+
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+ *             have_start = index.start is not None
+ *             have_stop = index.stop is not None
+ *             have_step = index.step is not None             # <<<<<<<<<<<<<<
+ * 
+ *             slice_memviewslice(
+ */
+      __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_n_s_step); if (unlikely(!__pyx_t_9)) __PYX_ERR(1, 766, __pyx_L1_error)
+      __Pyx_GOTREF(__pyx_t_9);
+      __pyx_t_1 = (__pyx_t_9 != Py_None);
+      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
+      __pyx_v_have_step = __pyx_t_1;
+
+      /* "View.MemoryView":768
+ *             have_step = index.step is not None
+ * 
+ *             slice_memviewslice(             # <<<<<<<<<<<<<<
+ *                 p_dst, p_src.shape[dim], p_src.strides[dim], p_src.suboffsets[dim],
+ *                 dim, new_ndim, p_suboffset_dim,
+ */
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+
+      /* "View.MemoryView":774
+ *                 have_start, have_stop, have_step,
+ *                 True)
+ *             new_ndim += 1             # <<<<<<<<<<<<<<
+ * 
+ *     if isinstance(memview, _memoryviewslice):
+ */
+      __pyx_v_new_ndim = (__pyx_v_new_ndim + 1);
+    }
+    __pyx_L6:;
+
+    /* "View.MemoryView":746
+ *     cdef bint have_start, have_stop, have_step
+ * 
+ *     for dim, index in enumerate(indices):             # <<<<<<<<<<<<<<
+ *         if PyIndex_Check(index):
+ *             slice_memviewslice(
+ */
+  }
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+
+  /* "View.MemoryView":776
+ *             new_ndim += 1
+ * 
+ *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
+ *         return memoryview_fromslice(dst, new_ndim,
+ *                                     memviewsliceobj.to_object_func,
+ */
+  __pyx_t_1 = __Pyx_TypeCheck(((PyObject *)__pyx_v_memview), __pyx_memoryviewslice_type); 
+  __pyx_t_2 = (__pyx_t_1 != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":777
+ * 
+ *     if isinstance(memview, _memoryviewslice):
+ *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<
+ *                                     memviewsliceobj.to_object_func,
+ *                                     memviewsliceobj.to_dtype_func,
+ */
+    __Pyx_XDECREF(((PyObject *)__pyx_r));
+
+    /* "View.MemoryView":778
+ *     if isinstance(memview, _memoryviewslice):
+ *         return memoryview_fromslice(dst, new_ndim,
+ *                                     memviewsliceobj.to_object_func,             # <<<<<<<<<<<<<<
+ *                                     memviewsliceobj.to_dtype_func,
+ *                                     memview.dtype_is_object)
+ */
+    if (unlikely(!__pyx_v_memviewsliceobj)) { __Pyx_RaiseUnboundLocalError("memviewsliceobj"); __PYX_ERR(1, 778, __pyx_L1_error) }
+
+    /* "View.MemoryView":779
+ *         return memoryview_fromslice(dst, new_ndim,
+ *                                     memviewsliceobj.to_object_func,
+ *                                     memviewsliceobj.to_dtype_func,             # <<<<<<<<<<<<<<
+ *                                     memview.dtype_is_object)
+ *     else:
+ */
+    if (unlikely(!__pyx_v_memviewsliceobj)) { __Pyx_RaiseUnboundLocalError("memviewsliceobj"); __PYX_ERR(1, 779, __pyx_L1_error) }
+
+    /* "View.MemoryView":777
+ * 
+ *     if isinstance(memview, _memoryviewslice):
+ *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<
+ *                                     memviewsliceobj.to_object_func,
+ *                                     memviewsliceobj.to_dtype_func,
+ */
+    __pyx_t_3 = __pyx_memoryview_fromslice(__pyx_v_dst, __pyx_v_new_ndim, __pyx_v_memviewsliceobj->to_object_func, __pyx_v_memviewsliceobj->to_dtype_func, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_3)) __PYX_ERR(1, 777, __pyx_L1_error)
+    __Pyx_GOTREF(__pyx_t_3);
+    if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_memoryview_type))))) __PYX_ERR(1, 777, __pyx_L1_error)
+    __pyx_r = ((struct __pyx_memoryview_obj *)__pyx_t_3);
+    __pyx_t_3 = 0;
+    goto __pyx_L0;
+
+    /* "View.MemoryView":776
+ *             new_ndim += 1
+ * 
+ *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
+ *         return memoryview_fromslice(dst, new_ndim,
+ *                                     memviewsliceobj.to_object_func,
+ */
+  }
+
+  /* "View.MemoryView":782
+ *                                     memview.dtype_is_object)
+ *     else:
+ *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<
+ *                                     memview.dtype_is_object)
+ * 
+ */
+  /*else*/ {
+    __Pyx_XDECREF(((PyObject *)__pyx_r));
+
+    /* "View.MemoryView":783
+ *     else:
+ *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,
+ *                                     memview.dtype_is_object)             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+    __pyx_t_3 = __pyx_memoryview_fromslice(__pyx_v_dst, __pyx_v_new_ndim, NULL, NULL, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_3)) __PYX_ERR(1, 782, __pyx_L1_error)
+    __Pyx_GOTREF(__pyx_t_3);
+
+    /* "View.MemoryView":782
+ *                                     memview.dtype_is_object)
+ *     else:
+ *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<
+ *                                     memview.dtype_is_object)
+ * 
+ */
+    if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_memoryview_type))))) __PYX_ERR(1, 782, __pyx_L1_error)
+    __pyx_r = ((struct __pyx_memoryview_obj *)__pyx_t_3);
+    __pyx_t_3 = 0;
+    goto __pyx_L0;
+  }
+
+  /* "View.MemoryView":710
+ * 
+ * @cname('__pyx_memview_slice')
+ * cdef memoryview memview_slice(memoryview memview, object indices):             # <<<<<<<<<<<<<<
+ *     cdef int new_ndim = 0, suboffset_dim = -1, dim
+ *     cdef bint negative_step
+ */
+
+  /* function exit code */
+  __pyx_L1_error:;
+  __Pyx_XDECREF(__pyx_t_3);
+  __Pyx_XDECREF(__pyx_t_9);
+  __Pyx_AddTraceback("View.MemoryView.memview_slice", __pyx_clineno, __pyx_lineno, __pyx_filename);
+  __pyx_r = 0;
+  __pyx_L0:;
+  __Pyx_XDECREF((PyObject *)__pyx_v_memviewsliceobj);
+  __Pyx_XDECREF(__pyx_v_index);
+  __Pyx_XGIVEREF((PyObject *)__pyx_r);
+  __Pyx_RefNannyFinishContext();
+  return __pyx_r;
+}
+
+/* "View.MemoryView":807
+ * 
+ * @cname('__pyx_memoryview_slice_memviewslice')
+ * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
+ *         __Pyx_memviewslice *dst,
+ *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
+ */
+
+static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *__pyx_v_dst, Py_ssize_t __pyx_v_shape, Py_ssize_t __pyx_v_stride, Py_ssize_t __pyx_v_suboffset, int __pyx_v_dim, int __pyx_v_new_ndim, int *__pyx_v_suboffset_dim, Py_ssize_t __pyx_v_start, Py_ssize_t __pyx_v_stop, Py_ssize_t __pyx_v_step, int __pyx_v_have_start, int __pyx_v_have_stop, int __pyx_v_have_step, int __pyx_v_is_slice) {
+  Py_ssize_t __pyx_v_new_shape;
+  int __pyx_v_negative_step;
+  int __pyx_r;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  int __pyx_lineno = 0;
+  const char *__pyx_filename = NULL;
+  int __pyx_clineno = 0;
+
+  /* "View.MemoryView":827
+ *     cdef bint negative_step
+ * 
+ *     if not is_slice:             # <<<<<<<<<<<<<<
+ * 
+ *         if start < 0:
+ */
+  __pyx_t_1 = ((!(__pyx_v_is_slice != 0)) != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":829
+ *     if not is_slice:
+ * 
+ *         if start < 0:             # <<<<<<<<<<<<<<
+ *             start += shape
+ *         if not 0 <= start < shape:
+ */
+    __pyx_t_1 = ((__pyx_v_start < 0) != 0);
+    if (__pyx_t_1) {
+
+      /* "View.MemoryView":830
+ * 
+ *         if start < 0:
+ *             start += shape             # <<<<<<<<<<<<<<
+ *         if not 0 <= start < shape:
+ *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
+ */
+      __pyx_v_start = (__pyx_v_start + __pyx_v_shape);
+
+      /* "View.MemoryView":829
+ *     if not is_slice:
+ * 
+ *         if start < 0:             # <<<<<<<<<<<<<<
+ *             start += shape
+ *         if not 0 <= start < shape:
+ */
+    }
+
+    /* "View.MemoryView":831
+ *         if start < 0:
+ *             start += shape
+ *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
+ *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
+ *     else:
+ */
+    __pyx_t_1 = (0 <= __pyx_v_start);
+    if (__pyx_t_1) {
+      __pyx_t_1 = (__pyx_v_start < __pyx_v_shape);
+    }
+    __pyx_t_2 = ((!(__pyx_t_1 != 0)) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":832
+ *             start += shape
+ *         if not 0 <= start < shape:
+ *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)             # <<<<<<<<<<<<<<
+ *     else:
+ * 
+ */
+      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"Index out of bounds (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 832, __pyx_L1_error)
+
+      /* "View.MemoryView":831
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+ *             start += shape
+ *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
+ *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
+ *     else:
+ */
+    }
+
+    /* "View.MemoryView":827
+ *     cdef bint negative_step
+ * 
+ *     if not is_slice:             # <<<<<<<<<<<<<<
+ * 
+ *         if start < 0:
+ */
+    goto __pyx_L3;
+  }
+
+  /* "View.MemoryView":835
+ *     else:
+ * 
+ *         negative_step = have_step != 0 and step < 0             # <<<<<<<<<<<<<<
+ * 
+ *         if have_step and step == 0:
+ */
+  /*else*/ {
+    __pyx_t_1 = ((__pyx_v_have_step != 0) != 0);
+    if (__pyx_t_1) {
+    } else {
+      __pyx_t_2 = __pyx_t_1;
+      goto __pyx_L6_bool_binop_done;
+    }
+    __pyx_t_1 = ((__pyx_v_step < 0) != 0);
+    __pyx_t_2 = __pyx_t_1;
+    __pyx_L6_bool_binop_done:;
+    __pyx_v_negative_step = __pyx_t_2;
+
+    /* "View.MemoryView":837
+ *         negative_step = have_step != 0 and step < 0
+ * 
+ *         if have_step and step == 0:             # <<<<<<<<<<<<<<
+ *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
+ * 
+ */
+    __pyx_t_1 = (__pyx_v_have_step != 0);
+    if (__pyx_t_1) {
+    } else {
+      __pyx_t_2 = __pyx_t_1;
+      goto __pyx_L9_bool_binop_done;
+    }
+    __pyx_t_1 = ((__pyx_v_step == 0) != 0);
+    __pyx_t_2 = __pyx_t_1;
+    __pyx_L9_bool_binop_done:;
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":838
+ * 
+ *         if have_step and step == 0:
+ *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Step may not be zero (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 838, __pyx_L1_error)
+
+      /* "View.MemoryView":837
+ *         negative_step = have_step != 0 and step < 0
+ * 
+ *         if have_step and step == 0:             # <<<<<<<<<<<<<<
+ *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
+ * 
+ */
+    }
+
+    /* "View.MemoryView":841
+ * 
+ * 
+ *         if have_start:             # <<<<<<<<<<<<<<
+ *             if start < 0:
+ *                 start += shape
+ */
+    __pyx_t_2 = (__pyx_v_have_start != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":842
+ * 
+ *         if have_start:
+ *             if start < 0:             # <<<<<<<<<<<<<<
+ *                 start += shape
+ *                 if start < 0:
+ */
+      __pyx_t_2 = ((__pyx_v_start < 0) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":843
+ *         if have_start:
+ *             if start < 0:
+ *                 start += shape             # <<<<<<<<<<<<<<
+ *                 if start < 0:
+ *                     start = 0
+ */
+        __pyx_v_start = (__pyx_v_start + __pyx_v_shape);
+
+        /* "View.MemoryView":844
+ *             if start < 0:
+ *                 start += shape
+ *                 if start < 0:             # <<<<<<<<<<<<<<
+ *                     start = 0
+ *             elif start >= shape:
+ */
+        __pyx_t_2 = ((__pyx_v_start < 0) != 0);
+        if (__pyx_t_2) {
+
+          /* "View.MemoryView":845
+ *                 start += shape
+ *                 if start < 0:
+ *                     start = 0             # <<<<<<<<<<<<<<
+ *             elif start >= shape:
+ *                 if negative_step:
+ */
+          __pyx_v_start = 0;
+
+          /* "View.MemoryView":844
+ *             if start < 0:
+ *                 start += shape
+ *                 if start < 0:             # <<<<<<<<<<<<<<
+ *                     start = 0
+ *             elif start >= shape:
+ */
+        }
+
+        /* "View.MemoryView":842
+ * 
+ *         if have_start:
+ *             if start < 0:             # <<<<<<<<<<<<<<
+ *                 start += shape
+ *                 if start < 0:
+ */
+        goto __pyx_L12;
+      }
+
+      /* "View.MemoryView":846
+ *                 if start < 0:
+ *                     start = 0
+ *             elif start >= shape:             # <<<<<<<<<<<<<<
+ *                 if negative_step:
+ *                     start = shape - 1
+ */
+      __pyx_t_2 = ((__pyx_v_start >= __pyx_v_shape) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":847
+ *                     start = 0
+ *             elif start >= shape:
+ *                 if negative_step:             # <<<<<<<<<<<<<<
+ *                     start = shape - 1
+ *                 else:
+ */
+        __pyx_t_2 = (__pyx_v_negative_step != 0);
+        if (__pyx_t_2) {
+
+          /* "View.MemoryView":848
+ *             elif start >= shape:
+ *                 if negative_step:
+ *                     start = shape - 1             # <<<<<<<<<<<<<<
+ *                 else:
+ *                     start = shape
+ */
+          __pyx_v_start = (__pyx_v_shape - 1);
+
+          /* "View.MemoryView":847
+ *                     start = 0
+ *             elif start >= shape:
+ *                 if negative_step:             # <<<<<<<<<<<<<<
+ *                     start = shape - 1
+ *                 else:
+ */
+          goto __pyx_L14;
+        }
+
+        /* "View.MemoryView":850
+ *                     start = shape - 1
+ *                 else:
+ *                     start = shape             # <<<<<<<<<<<<<<
+ *         else:
+ *             if negative_step:
+ */
+        /*else*/ {
+          __pyx_v_start = __pyx_v_shape;
+        }
+        __pyx_L14:;
+
+        /* "View.MemoryView":846
+ *                 if start < 0:
+ *                     start = 0
+ *             elif start >= shape:             # <<<<<<<<<<<<<<
+ *                 if negative_step:
+ *                     start = shape - 1
+ */
+      }
+      __pyx_L12:;
+
+      /* "View.MemoryView":841
+ * 
+ * 
+ *         if have_start:             # <<<<<<<<<<<<<<
+ *             if start < 0:
+ *                 start += shape
+ */
+      goto __pyx_L11;
+    }
+
+    /* "View.MemoryView":852
+ *                     start = shape
+ *         else:
+ *             if negative_step:             # <<<<<<<<<<<<<<
+ *                 start = shape - 1
+ *             else:
+ */
+    /*else*/ {
+      __pyx_t_2 = (__pyx_v_negative_step != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":853
+ *         else:
+ *             if negative_step:
+ *                 start = shape - 1             # <<<<<<<<<<<<<<
+ *             else:
+ *                 start = 0
+ */
+        __pyx_v_start = (__pyx_v_shape - 1);
+
+        /* "View.MemoryView":852
+ *                     start = shape
+ *         else:
+ *             if negative_step:             # <<<<<<<<<<<<<<
+ *                 start = shape - 1
+ *             else:
+ */
+        goto __pyx_L15;
+      }
+
+      /* "View.MemoryView":855
+ *                 start = shape - 1
+ *             else:
+ *                 start = 0             # <<<<<<<<<<<<<<
+ * 
+ *         if have_stop:
+ */
+      /*else*/ {
+        __pyx_v_start = 0;
+      }
+      __pyx_L15:;
+    }
+    __pyx_L11:;
+
+    /* "View.MemoryView":857
+ *                 start = 0
+ * 
+ *         if have_stop:             # <<<<<<<<<<<<<<
+ *             if stop < 0:
+ *                 stop += shape
+ */
+    __pyx_t_2 = (__pyx_v_have_stop != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":858
+ * 
+ *         if have_stop:
+ *             if stop < 0:             # <<<<<<<<<<<<<<
+ *                 stop += shape
+ *                 if stop < 0:
+ */
+      __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
+      if (__pyx_t_2) {
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+        /* "View.MemoryView":859
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+        /* "View.MemoryView":860
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+ *                     stop = 0
+ *             elif stop > shape:
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+        __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
+        if (__pyx_t_2) {
+
+          /* "View.MemoryView":861
+ *                 stop += shape
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+ *                     stop = 0             # <<<<<<<<<<<<<<
+ *             elif stop > shape:
+ *                 stop = shape
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+          __pyx_v_stop = 0;
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+          /* "View.MemoryView":860
+ *             if stop < 0:
+ *                 stop += shape
+ *                 if stop < 0:             # <<<<<<<<<<<<<<
+ *                     stop = 0
+ *             elif stop > shape:
+ */
+        }
+
+        /* "View.MemoryView":858
+ * 
+ *         if have_stop:
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+ *                 stop += shape
+ *                 if stop < 0:
+ */
+        goto __pyx_L17;
+      }
+
+      /* "View.MemoryView":862
+ *                 if stop < 0:
+ *                     stop = 0
+ *             elif stop > shape:             # <<<<<<<<<<<<<<
+ *                 stop = shape
+ *         else:
+ */
+      __pyx_t_2 = ((__pyx_v_stop > __pyx_v_shape) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":863
+ *                     stop = 0
+ *             elif stop > shape:
+ *                 stop = shape             # <<<<<<<<<<<<<<
+ *         else:
+ *             if negative_step:
+ */
+        __pyx_v_stop = __pyx_v_shape;
+
+        /* "View.MemoryView":862
+ *                 if stop < 0:
+ *                     stop = 0
+ *             elif stop > shape:             # <<<<<<<<<<<<<<
+ *                 stop = shape
+ *         else:
+ */
+      }
+      __pyx_L17:;
+
+      /* "View.MemoryView":857
+ *                 start = 0
+ * 
+ *         if have_stop:             # <<<<<<<<<<<<<<
+ *             if stop < 0:
+ *                 stop += shape
+ */
+      goto __pyx_L16;
+    }
+
+    /* "View.MemoryView":865
+ *                 stop = shape
+ *         else:
+ *             if negative_step:             # <<<<<<<<<<<<<<
+ *                 stop = -1
+ *             else:
+ */
+    /*else*/ {
+      __pyx_t_2 = (__pyx_v_negative_step != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":866
+ *         else:
+ *             if negative_step:
+ *                 stop = -1             # <<<<<<<<<<<<<<
+ *             else:
+ *                 stop = shape
+ */
+        __pyx_v_stop = -1L;
+
+        /* "View.MemoryView":865
+ *                 stop = shape
+ *         else:
+ *             if negative_step:             # <<<<<<<<<<<<<<
+ *                 stop = -1
+ *             else:
+ */
+        goto __pyx_L19;
+      }
+
+      /* "View.MemoryView":868
+ *                 stop = -1
+ *             else:
+ *                 stop = shape             # <<<<<<<<<<<<<<
+ * 
+ *         if not have_step:
+ */
+      /*else*/ {
+        __pyx_v_stop = __pyx_v_shape;
+      }
+      __pyx_L19:;
+    }
+    __pyx_L16:;
+
+    /* "View.MemoryView":870
+ *                 stop = shape
+ * 
+ *         if not have_step:             # <<<<<<<<<<<<<<
+ *             step = 1
+ * 
+ */
+    __pyx_t_2 = ((!(__pyx_v_have_step != 0)) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":871
+ * 
+ *         if not have_step:
+ *             step = 1             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+      __pyx_v_step = 1;
+
+      /* "View.MemoryView":870
+ *                 stop = shape
+ * 
+ *         if not have_step:             # <<<<<<<<<<<<<<
+ *             step = 1
+ * 
+ */
+    }
+
+    /* "View.MemoryView":875
+ * 
+ *         with cython.cdivision(True):
+ *             new_shape = (stop - start) // step             # <<<<<<<<<<<<<<
+ * 
+ *             if (stop - start) - step * new_shape:
+ */
+    __pyx_v_new_shape = ((__pyx_v_stop - __pyx_v_start) / __pyx_v_step);
+
+    /* "View.MemoryView":877
+ *             new_shape = (stop - start) // step
+ * 
+ *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
+ *                 new_shape += 1
+ * 
+ */
+    __pyx_t_2 = (((__pyx_v_stop - __pyx_v_start) - (__pyx_v_step * __pyx_v_new_shape)) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":878
+ * 
+ *             if (stop - start) - step * new_shape:
+ *                 new_shape += 1             # <<<<<<<<<<<<<<
+ * 
+ *         if new_shape < 0:
+ */
+      __pyx_v_new_shape = (__pyx_v_new_shape + 1);
+
+      /* "View.MemoryView":877
+ *             new_shape = (stop - start) // step
+ * 
+ *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
+ *                 new_shape += 1
+ * 
+ */
+    }
+
+    /* "View.MemoryView":880
+ *                 new_shape += 1
+ * 
+ *         if new_shape < 0:             # <<<<<<<<<<<<<<
+ *             new_shape = 0
+ * 
+ */
+    __pyx_t_2 = ((__pyx_v_new_shape < 0) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":881
+ * 
+ *         if new_shape < 0:
+ *             new_shape = 0             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+      __pyx_v_new_shape = 0;
+
+      /* "View.MemoryView":880
+ *                 new_shape += 1
+ * 
+ *         if new_shape < 0:             # <<<<<<<<<<<<<<
+ *             new_shape = 0
+ * 
+ */
+    }
+
+    /* "View.MemoryView":884
+ * 
+ * 
+ *         dst.strides[new_ndim] = stride * step             # <<<<<<<<<<<<<<
+ *         dst.shape[new_ndim] = new_shape
+ *         dst.suboffsets[new_ndim] = suboffset
+ */
+    (__pyx_v_dst->strides[__pyx_v_new_ndim]) = (__pyx_v_stride * __pyx_v_step);
+
+    /* "View.MemoryView":885
+ * 
+ *         dst.strides[new_ndim] = stride * step
+ *         dst.shape[new_ndim] = new_shape             # <<<<<<<<<<<<<<
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+ * 
+ */
+    (__pyx_v_dst->shape[__pyx_v_new_ndim]) = __pyx_v_new_shape;
+
+    /* "View.MemoryView":886
+ *         dst.strides[new_ndim] = stride * step
+ *         dst.shape[new_ndim] = new_shape
+ *         dst.suboffsets[new_ndim] = suboffset             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+    (__pyx_v_dst->suboffsets[__pyx_v_new_ndim]) = __pyx_v_suboffset;
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+  __pyx_L3:;
+
+  /* "View.MemoryView":889
+ * 
+ * 
+ *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
+ *         dst.data += start * stride
+ *     else:
+ */
+  __pyx_t_2 = (((__pyx_v_suboffset_dim[0]) < 0) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":890
+ * 
+ *     if suboffset_dim[0] < 0:
+ *         dst.data += start * stride             # <<<<<<<<<<<<<<
+ *     else:
+ *         dst.suboffsets[suboffset_dim[0]] += start * stride
+ */
+    __pyx_v_dst->data = (__pyx_v_dst->data + (__pyx_v_start * __pyx_v_stride));
+
+    /* "View.MemoryView":889
+ * 
+ * 
+ *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
+ *         dst.data += start * stride
+ *     else:
+ */
+    goto __pyx_L23;
+  }
+
+  /* "View.MemoryView":892
+ *         dst.data += start * stride
+ *     else:
+ *         dst.suboffsets[suboffset_dim[0]] += start * stride             # <<<<<<<<<<<<<<
+ * 
+ *     if suboffset >= 0:
+ */
+  /*else*/ {
+    __pyx_t_3 = (__pyx_v_suboffset_dim[0]);
+    (__pyx_v_dst->suboffsets[__pyx_t_3]) = ((__pyx_v_dst->suboffsets[__pyx_t_3]) + (__pyx_v_start * __pyx_v_stride));
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+  __pyx_L23:;
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+  /* "View.MemoryView":894
+ *         dst.suboffsets[suboffset_dim[0]] += start * stride
+ * 
+ *     if suboffset >= 0:             # <<<<<<<<<<<<<<
+ *         if not is_slice:
+ *             if new_ndim == 0:
+ */
+  __pyx_t_2 = ((__pyx_v_suboffset >= 0) != 0);
+  if (__pyx_t_2) {
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+    /* "View.MemoryView":895
+ * 
+ *     if suboffset >= 0:
+ *         if not is_slice:             # <<<<<<<<<<<<<<
+ *             if new_ndim == 0:
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+ */
+    __pyx_t_2 = ((!(__pyx_v_is_slice != 0)) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":896
+ *     if suboffset >= 0:
+ *         if not is_slice:
+ *             if new_ndim == 0:             # <<<<<<<<<<<<<<
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+ *             else:
+ */
+      __pyx_t_2 = ((__pyx_v_new_ndim == 0) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":897
+ *         if not is_slice:
+ *             if new_ndim == 0:
+ *                 dst.data = (<char **> dst.data)[0] + suboffset             # <<<<<<<<<<<<<<
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+ */
+        __pyx_v_dst->data = ((((char **)__pyx_v_dst->data)[0]) + __pyx_v_suboffset);
+
+        /* "View.MemoryView":896
+ *     if suboffset >= 0:
+ *         if not is_slice:
+ *             if new_ndim == 0:             # <<<<<<<<<<<<<<
+ *                 dst.data = (<char **> dst.data)[0] + suboffset
+ *             else:
+ */
+        goto __pyx_L26;
+      }
+
+      /* "View.MemoryView":899
+ *                 dst.data = (<char **> dst.data)[0] + suboffset
+ *             else:
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+ */
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+        /* "View.MemoryView":900
+ *             else:
+ *                 _err_dim(IndexError, "All dimensions preceding dimension %d "
+ *                                      "must be indexed and not sliced", dim)             # <<<<<<<<<<<<<<
+ *         else:
+ *             suboffset_dim[0] = new_ndim
+ */
+        __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"All dimensions preceding dimension %d must be indexed and not sliced"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 899, __pyx_L1_error)
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+      __pyx_L26:;
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+      /* "View.MemoryView":895
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+ *     if suboffset >= 0:
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+    /* "View.MemoryView":894
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+ *     if suboffset >= 0:             # <<<<<<<<<<<<<<
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+ */
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+ *     return 0             # <<<<<<<<<<<<<<
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+ * 
+ */
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+  goto __pyx_L0;
+
+  /* "View.MemoryView":807
+ * 
+ * @cname('__pyx_memoryview_slice_memviewslice')
+ * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
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+ *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
+ */
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+  /* function exit code */
+  __pyx_L1_error:;
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+    PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
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+    __Pyx_AddTraceback("View.MemoryView.slice_memviewslice", __pyx_clineno, __pyx_lineno, __pyx_filename);
+    #ifdef WITH_THREAD
+    __Pyx_PyGILState_Release(__pyx_gilstate_save);
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+  }
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+/* "View.MemoryView":910
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+ * @cname('__pyx_pybuffer_index')
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+ */
+
+static char *__pyx_pybuffer_index(Py_buffer *__pyx_v_view, char *__pyx_v_bufp, Py_ssize_t __pyx_v_index, Py_ssize_t __pyx_v_dim) {
+  Py_ssize_t __pyx_v_shape;
+  Py_ssize_t __pyx_v_stride;
+  Py_ssize_t __pyx_v_suboffset;
+  Py_ssize_t __pyx_v_itemsize;
+  char *__pyx_v_resultp;
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+  __Pyx_RefNannyDeclarations
+  Py_ssize_t __pyx_t_1;
+  int __pyx_t_2;
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+  PyObject *__pyx_t_4 = NULL;
+  int __pyx_lineno = 0;
+  const char *__pyx_filename = NULL;
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+ *                           Py_ssize_t dim) except NULL:
+ *     cdef Py_ssize_t shape, stride, suboffset = -1             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t itemsize = view.itemsize
+ *     cdef char *resultp
+ */
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+
+  /* "View.MemoryView":913
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+ *     cdef Py_ssize_t shape, stride, suboffset = -1
+ *     cdef Py_ssize_t itemsize = view.itemsize             # <<<<<<<<<<<<<<
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+ * 
+ */
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+  /* "View.MemoryView":916
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+ * 
+ *     if view.ndim == 0:             # <<<<<<<<<<<<<<
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+ */
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+  if (__pyx_t_2) {
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+ *     if view.ndim == 0:
+ *         shape = view.len / itemsize             # <<<<<<<<<<<<<<
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+      PyErr_SetString(PyExc_OverflowError, "value too large to perform division");
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+
+    /* "View.MemoryView":916
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+ *     if view.ndim == 0:             # <<<<<<<<<<<<<<
+ *         shape = view.len / itemsize
+ *         stride = itemsize
+ */
+    goto __pyx_L3;
+  }
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+  /* "View.MemoryView":920
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+ *     else:
+ *         shape = view.shape[dim]             # <<<<<<<<<<<<<<
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+ */
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+    __pyx_v_shape = (__pyx_v_view->shape[__pyx_v_dim]);
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+    /* "View.MemoryView":921
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+    /* "View.MemoryView":922
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+ *         if view.suboffsets != NULL:             # <<<<<<<<<<<<<<
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+
+      /* "View.MemoryView":922
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+ *         if view.suboffsets != NULL:             # <<<<<<<<<<<<<<
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+ */
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+ *     if index < 0:             # <<<<<<<<<<<<<<
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+ */
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+ *     if index < 0:
+ *         index += view.shape[dim]             # <<<<<<<<<<<<<<
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+ *             raise IndexError("Out of bounds on buffer access (axis %d)" % dim)
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+ *         index += view.shape[dim]
+ *         if index < 0:             # <<<<<<<<<<<<<<
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+ */
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+      /* "View.MemoryView":927
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+ */
+    }
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+    /* "View.MemoryView":925
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+ */
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+ *     if index >= shape:
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+    __pyx_t_3 = PyInt_FromSsize_t(__pyx_v_dim); if (unlikely(!__pyx_t_3)) __PYX_ERR(1, 931, __pyx_L1_error)
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+    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
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+    /* "View.MemoryView":930
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+
+    /* "View.MemoryView":1130
+ * 
+ *     for i in range(ndim):
+ *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
+ *             f_stride = mslice.strides[i]
+ *             break
+ */
+    __pyx_t_2 = (((__pyx_v_mslice->shape[__pyx_v_i]) > 1) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1131
+ *     for i in range(ndim):
+ *         if mslice.shape[i] > 1:
+ *             f_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
+ *             break
+ * 
+ */
+      __pyx_v_f_stride = (__pyx_v_mslice->strides[__pyx_v_i]);
+
+      /* "View.MemoryView":1132
+ *         if mslice.shape[i] > 1:
+ *             f_stride = mslice.strides[i]
+ *             break             # <<<<<<<<<<<<<<
+ * 
+ *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
+ */
+      goto __pyx_L7_break;
+
+      /* "View.MemoryView":1130
+ * 
+ *     for i in range(ndim):
+ *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
+ *             f_stride = mslice.strides[i]
+ *             break
+ */
+    }
+  }
+  __pyx_L7_break:;
+
+  /* "View.MemoryView":1134
+ *             break
+ * 
+ *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
+ *         return 'C'
+ *     else:
+ */
+  __pyx_t_2 = ((abs_py_ssize_t(__pyx_v_c_stride) <= abs_py_ssize_t(__pyx_v_f_stride)) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":1135
+ * 
+ *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
+ *         return 'C'             # <<<<<<<<<<<<<<
+ *     else:
+ *         return 'F'
+ */
+    __pyx_r = 'C';
+    goto __pyx_L0;
+
+    /* "View.MemoryView":1134
+ *             break
+ * 
+ *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
+ *         return 'C'
+ *     else:
+ */
+  }
+
+  /* "View.MemoryView":1137
+ *         return 'C'
+ *     else:
+ *         return 'F'             # <<<<<<<<<<<<<<
+ * 
+ * @cython.cdivision(True)
+ */
+  /*else*/ {
+    __pyx_r = 'F';
+    goto __pyx_L0;
+  }
+
+  /* "View.MemoryView":1116
+ * 
+ * @cname('__pyx_get_best_slice_order')
+ * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<
+ *     """
+ *     Figure out the best memory access order for a given slice.
+ */
+
+  /* function exit code */
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+/* "View.MemoryView":1140
+ * 
+ * @cython.cdivision(True)
+ * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
+ *                                    char *dst_data, Py_ssize_t *dst_strides,
+ *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
+ */
+
+static void _copy_strided_to_strided(char *__pyx_v_src_data, Py_ssize_t *__pyx_v_src_strides, char *__pyx_v_dst_data, Py_ssize_t *__pyx_v_dst_strides, Py_ssize_t *__pyx_v_src_shape, Py_ssize_t *__pyx_v_dst_shape, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
+  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
+  CYTHON_UNUSED Py_ssize_t __pyx_v_src_extent;
+  Py_ssize_t __pyx_v_dst_extent;
+  Py_ssize_t __pyx_v_src_stride;
+  Py_ssize_t __pyx_v_dst_stride;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  Py_ssize_t __pyx_t_4;
+  Py_ssize_t __pyx_t_5;
+  Py_ssize_t __pyx_t_6;
+
+  /* "View.MemoryView":1147
+ * 
+ *     cdef Py_ssize_t i
+ *     cdef Py_ssize_t src_extent = src_shape[0]             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t dst_extent = dst_shape[0]
+ *     cdef Py_ssize_t src_stride = src_strides[0]
+ */
+  __pyx_v_src_extent = (__pyx_v_src_shape[0]);
+
+  /* "View.MemoryView":1148
+ *     cdef Py_ssize_t i
+ *     cdef Py_ssize_t src_extent = src_shape[0]
+ *     cdef Py_ssize_t dst_extent = dst_shape[0]             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t src_stride = src_strides[0]
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]
+ */
+  __pyx_v_dst_extent = (__pyx_v_dst_shape[0]);
+
+  /* "View.MemoryView":1149
+ *     cdef Py_ssize_t src_extent = src_shape[0]
+ *     cdef Py_ssize_t dst_extent = dst_shape[0]
+ *     cdef Py_ssize_t src_stride = src_strides[0]             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]
+ * 
+ */
+  __pyx_v_src_stride = (__pyx_v_src_strides[0]);
+
+  /* "View.MemoryView":1150
+ *     cdef Py_ssize_t dst_extent = dst_shape[0]
+ *     cdef Py_ssize_t src_stride = src_strides[0]
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]             # <<<<<<<<<<<<<<
+ * 
+ *     if ndim == 1:
+ */
+  __pyx_v_dst_stride = (__pyx_v_dst_strides[0]);
+
+  /* "View.MemoryView":1152
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]
+ * 
+ *     if ndim == 1:             # <<<<<<<<<<<<<<
+ *        if (src_stride > 0 and dst_stride > 0 and
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ */
+  __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":1153
+ * 
+ *     if ndim == 1:
+ *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ */
+    __pyx_t_2 = ((__pyx_v_src_stride > 0) != 0);
+    if (__pyx_t_2) {
+    } else {
+      __pyx_t_1 = __pyx_t_2;
+      goto __pyx_L5_bool_binop_done;
+    }
+    __pyx_t_2 = ((__pyx_v_dst_stride > 0) != 0);
+    if (__pyx_t_2) {
+    } else {
+      __pyx_t_1 = __pyx_t_2;
+      goto __pyx_L5_bool_binop_done;
+    }
+
+    /* "View.MemoryView":1154
+ *     if ndim == 1:
+ *        if (src_stride > 0 and dst_stride > 0 and
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):             # <<<<<<<<<<<<<<
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ *        else:
+ */
+    __pyx_t_2 = (((size_t)__pyx_v_src_stride) == __pyx_v_itemsize);
+    if (__pyx_t_2) {
+      __pyx_t_2 = (__pyx_v_itemsize == ((size_t)__pyx_v_dst_stride));
+    }
+    __pyx_t_3 = (__pyx_t_2 != 0);
+    __pyx_t_1 = __pyx_t_3;
+    __pyx_L5_bool_binop_done:;
+
+    /* "View.MemoryView":1153
+ * 
+ *     if ndim == 1:
+ *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ */
+    if (__pyx_t_1) {
+
+      /* "View.MemoryView":1155
+ *        if (src_stride > 0 and dst_stride > 0 and
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)             # <<<<<<<<<<<<<<
+ *        else:
+ *            for i in range(dst_extent):
+ */
+      (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * __pyx_v_dst_extent)));
+
+      /* "View.MemoryView":1153
+ * 
+ *     if ndim == 1:
+ *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ */
+      goto __pyx_L4;
+    }
+
+    /* "View.MemoryView":1157
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ *        else:
+ *            for i in range(dst_extent):             # <<<<<<<<<<<<<<
+ *                memcpy(dst_data, src_data, itemsize)
+ *                src_data += src_stride
+ */
+    /*else*/ {
+      __pyx_t_4 = __pyx_v_dst_extent;
+      __pyx_t_5 = __pyx_t_4;
+      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
+        __pyx_v_i = __pyx_t_6;
+
+        /* "View.MemoryView":1158
+ *        else:
+ *            for i in range(dst_extent):
+ *                memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<
+ *                src_data += src_stride
+ *                dst_data += dst_stride
+ */
+        (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize));
+
+        /* "View.MemoryView":1159
+ *            for i in range(dst_extent):
+ *                memcpy(dst_data, src_data, itemsize)
+ *                src_data += src_stride             # <<<<<<<<<<<<<<
+ *                dst_data += dst_stride
+ *     else:
+ */
+        __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);
+
+        /* "View.MemoryView":1160
+ *                memcpy(dst_data, src_data, itemsize)
+ *                src_data += src_stride
+ *                dst_data += dst_stride             # <<<<<<<<<<<<<<
+ *     else:
+ *         for i in range(dst_extent):
+ */
+        __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
+      }
+    }
+    __pyx_L4:;
+
+    /* "View.MemoryView":1152
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]
+ * 
+ *     if ndim == 1:             # <<<<<<<<<<<<<<
+ *        if (src_stride > 0 and dst_stride > 0 and
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ */
+    goto __pyx_L3;
+  }
+
+  /* "View.MemoryView":1162
+ *                dst_data += dst_stride
+ *     else:
+ *         for i in range(dst_extent):             # <<<<<<<<<<<<<<
+ *             _copy_strided_to_strided(src_data, src_strides + 1,
+ *                                      dst_data, dst_strides + 1,
+ */
+  /*else*/ {
+    __pyx_t_4 = __pyx_v_dst_extent;
+    __pyx_t_5 = __pyx_t_4;
+    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
+      __pyx_v_i = __pyx_t_6;
+
+      /* "View.MemoryView":1163
+ *     else:
+ *         for i in range(dst_extent):
+ *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<
+ *                                      dst_data, dst_strides + 1,
+ *                                      src_shape + 1, dst_shape + 1,
+ */
+      _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);
+
+      /* "View.MemoryView":1167
+ *                                      src_shape + 1, dst_shape + 1,
+ *                                      ndim - 1, itemsize)
+ *             src_data += src_stride             # <<<<<<<<<<<<<<
+ *             dst_data += dst_stride
+ * 
+ */
+      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);
+
+      /* "View.MemoryView":1168
+ *                                      ndim - 1, itemsize)
+ *             src_data += src_stride
+ *             dst_data += dst_stride             # <<<<<<<<<<<<<<
+ * 
+ * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,
+ */
+      __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
+    }
+  }
+  __pyx_L3:;
+
+  /* "View.MemoryView":1140
+ * 
+ * @cython.cdivision(True)
+ * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
+ *                                    char *dst_data, Py_ssize_t *dst_strides,
+ *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
+ */
+
+  /* function exit code */
+}
+
+/* "View.MemoryView":1170
+ *             dst_data += dst_stride
+ * 
+ * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
+ *                                   __Pyx_memviewslice *dst,
+ *                                   int ndim, size_t itemsize) nogil:
+ */
+
+static void copy_strided_to_strided(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
+
+  /* "View.MemoryView":1173
+ *                                   __Pyx_memviewslice *dst,
+ *                                   int ndim, size_t itemsize) nogil:
+ *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<
+ *                              src.shape, dst.shape, ndim, itemsize)
+ * 
+ */
+  _copy_strided_to_strided(__pyx_v_src->data, __pyx_v_src->strides, __pyx_v_dst->data, __pyx_v_dst->strides, __pyx_v_src->shape, __pyx_v_dst->shape, __pyx_v_ndim, __pyx_v_itemsize);
+
+  /* "View.MemoryView":1170
+ *             dst_data += dst_stride
+ * 
+ * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
+ *                                   __Pyx_memviewslice *dst,
+ *                                   int ndim, size_t itemsize) nogil:
+ */
+
+  /* function exit code */
+}
+
+/* "View.MemoryView":1177
+ * 
+ * @cname('__pyx_memoryview_slice_get_size')
+ * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
+ *     "Return the size of the memory occupied by the slice in number of bytes"
+ *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
+ */
+
+static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *__pyx_v_src, int __pyx_v_ndim) {
+  Py_ssize_t __pyx_v_shape;
+  Py_ssize_t __pyx_v_size;
+  Py_ssize_t __pyx_r;
+  Py_ssize_t __pyx_t_1;
+  Py_ssize_t *__pyx_t_2;
+  Py_ssize_t *__pyx_t_3;
+  Py_ssize_t *__pyx_t_4;
+
+  /* "View.MemoryView":1179
+ * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:
+ *     "Return the size of the memory occupied by the slice in number of bytes"
+ *     cdef Py_ssize_t shape, size = src.memview.view.itemsize             # <<<<<<<<<<<<<<
+ * 
+ *     for shape in src.shape[:ndim]:
+ */
+  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
+  __pyx_v_size = __pyx_t_1;
+
+  /* "View.MemoryView":1181
+ *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
+ * 
+ *     for shape in src.shape[:ndim]:             # <<<<<<<<<<<<<<
+ *         size *= shape
+ * 
+ */
+  __pyx_t_3 = (__pyx_v_src->shape + __pyx_v_ndim);
+  for (__pyx_t_4 = __pyx_v_src->shape; __pyx_t_4 < __pyx_t_3; __pyx_t_4++) {
+    __pyx_t_2 = __pyx_t_4;
+    __pyx_v_shape = (__pyx_t_2[0]);
+
+    /* "View.MemoryView":1182
+ * 
+ *     for shape in src.shape[:ndim]:
+ *         size *= shape             # <<<<<<<<<<<<<<
+ * 
+ *     return size
+ */
+    __pyx_v_size = (__pyx_v_size * __pyx_v_shape);
+  }
+
+  /* "View.MemoryView":1184
+ *         size *= shape
+ * 
+ *     return size             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_fill_contig_strides_array')
+ */
+  __pyx_r = __pyx_v_size;
+  goto __pyx_L0;
+
+  /* "View.MemoryView":1177
+ * 
+ * @cname('__pyx_memoryview_slice_get_size')
+ * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
+ *     "Return the size of the memory occupied by the slice in number of bytes"
+ *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
+ */
+
+  /* function exit code */
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+/* "View.MemoryView":1187
+ * 
+ * @cname('__pyx_fill_contig_strides_array')
+ * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
+ *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
+ *                 int ndim, char order) nogil:
+ */
+
+static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, Py_ssize_t __pyx_v_stride, int __pyx_v_ndim, char __pyx_v_order) {
+  int __pyx_v_idx;
+  Py_ssize_t __pyx_r;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  int __pyx_t_4;
+
+  /* "View.MemoryView":1196
+ *     cdef int idx
+ * 
+ *     if order == 'F':             # <<<<<<<<<<<<<<
+ *         for idx in range(ndim):
+ *             strides[idx] = stride
+ */
+  __pyx_t_1 = ((__pyx_v_order == 'F') != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":1197
+ * 
+ *     if order == 'F':
+ *         for idx in range(ndim):             # <<<<<<<<<<<<<<
+ *             strides[idx] = stride
+ *             stride *= shape[idx]
+ */
+    __pyx_t_2 = __pyx_v_ndim;
+    __pyx_t_3 = __pyx_t_2;
+    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
+      __pyx_v_idx = __pyx_t_4;
+
+      /* "View.MemoryView":1198
+ *     if order == 'F':
+ *         for idx in range(ndim):
+ *             strides[idx] = stride             # <<<<<<<<<<<<<<
+ *             stride *= shape[idx]
+ *     else:
+ */
+      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;
+
+      /* "View.MemoryView":1199
+ *         for idx in range(ndim):
+ *             strides[idx] = stride
+ *             stride *= shape[idx]             # <<<<<<<<<<<<<<
+ *     else:
+ *         for idx in range(ndim - 1, -1, -1):
+ */
+      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
+    }
+
+    /* "View.MemoryView":1196
+ *     cdef int idx
+ * 
+ *     if order == 'F':             # <<<<<<<<<<<<<<
+ *         for idx in range(ndim):
+ *             strides[idx] = stride
+ */
+    goto __pyx_L3;
+  }
+
+  /* "View.MemoryView":1201
+ *             stride *= shape[idx]
+ *     else:
+ *         for idx in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
+ *             strides[idx] = stride
+ *             stride *= shape[idx]
+ */
+  /*else*/ {
+    for (__pyx_t_2 = (__pyx_v_ndim - 1); __pyx_t_2 > -1; __pyx_t_2-=1) {
+      __pyx_v_idx = __pyx_t_2;
+
+      /* "View.MemoryView":1202
+ *     else:
+ *         for idx in range(ndim - 1, -1, -1):
+ *             strides[idx] = stride             # <<<<<<<<<<<<<<
+ *             stride *= shape[idx]
+ * 
+ */
+      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;
+
+      /* "View.MemoryView":1203
+ *         for idx in range(ndim - 1, -1, -1):
+ *             strides[idx] = stride
+ *             stride *= shape[idx]             # <<<<<<<<<<<<<<
+ * 
+ *     return stride
+ */
+      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
+    }
+  }
+  __pyx_L3:;
+
+  /* "View.MemoryView":1205
+ *             stride *= shape[idx]
+ * 
+ *     return stride             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_memoryview_copy_data_to_temp')
+ */
+  __pyx_r = __pyx_v_stride;
+  goto __pyx_L0;
+
+  /* "View.MemoryView":1187
+ * 
+ * @cname('__pyx_fill_contig_strides_array')
+ * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
+ *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
+ *                 int ndim, char order) nogil:
+ */
+
+  /* function exit code */
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+/* "View.MemoryView":1208
+ * 
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+ */
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+  int __pyx_t_2;
+  int __pyx_t_3;
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+  int __pyx_t_6;
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+    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
+    if (unlikely(!__pyx_t_2)) __PYX_ERR(1, 1263, __pyx_L1_error)
+    __Pyx_GOTREF(__pyx_t_2);
+    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
+    __Pyx_Raise(__pyx_t_2, 0, 0, 0);
+    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
+    __PYX_ERR(1, 1263, __pyx_L1_error)
+
+    /* "View.MemoryView":1262
+ * @cname('__pyx_memoryview_err')
+ * cdef int _err(object error, char *msg) except -1 with gil:
+ *     if msg != NULL:             # <<<<<<<<<<<<<<
+ *         raise error(msg.decode('ascii'))
+ *     else:
+ */
+  }
+
+  /* "View.MemoryView":1265
+ *         raise error(msg.decode('ascii'))
+ *     else:
+ *         raise error             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_memoryview_copy_contents')
+ */
+  /*else*/ {
+    __Pyx_Raise(__pyx_v_error, 0, 0, 0);
+    __PYX_ERR(1, 1265, __pyx_L1_error)
+  }
+
+  /* "View.MemoryView":1261
+ * 
+ * @cname('__pyx_memoryview_err')
+ * cdef int _err(object error, char *msg) except -1 with gil:             # <<<<<<<<<<<<<<
+ *     if msg != NULL:
+ *         raise error(msg.decode('ascii'))
+ */
+
+  /* function exit code */
+  __pyx_L1_error:;
+  __Pyx_XDECREF(__pyx_t_2);
+  __Pyx_XDECREF(__pyx_t_3);
+  __Pyx_XDECREF(__pyx_t_4);
+  __Pyx_XDECREF(__pyx_t_5);
+  __Pyx_AddTraceback("View.MemoryView._err", __pyx_clineno, __pyx_lineno, __pyx_filename);
+  __pyx_r = -1;
+  __Pyx_XDECREF(__pyx_v_error);
+  __Pyx_RefNannyFinishContext();
+  #ifdef WITH_THREAD
+  __Pyx_PyGILState_Release(__pyx_gilstate_save);
+  #endif
+  return __pyx_r;
+}
+
+/* "View.MemoryView":1268
+ * 
+ * @cname('__pyx_memoryview_copy_contents')
+ * cdef int memoryview_copy_contents(__Pyx_memviewslice src,             # <<<<<<<<<<<<<<
+ *                                   __Pyx_memviewslice dst,
+ *                                   int src_ndim, int dst_ndim,
+ */
+
+static int __pyx_memoryview_copy_contents(__Pyx_memviewslice __pyx_v_src, __Pyx_memviewslice __pyx_v_dst, int __pyx_v_src_ndim, int __pyx_v_dst_ndim, int __pyx_v_dtype_is_object) {
+  void *__pyx_v_tmpdata;
+  size_t __pyx_v_itemsize;
+  int __pyx_v_i;
+  char __pyx_v_order;
+  int __pyx_v_broadcasting;
+  int __pyx_v_direct_copy;
+  __Pyx_memviewslice __pyx_v_tmp;
+  int __pyx_v_ndim;
+  int __pyx_r;
+  Py_ssize_t __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  int __pyx_t_4;
+  int __pyx_t_5;
+  int __pyx_t_6;
+  void *__pyx_t_7;
+  int __pyx_t_8;
+  int __pyx_lineno = 0;
+  const char *__pyx_filename = NULL;
+  int __pyx_clineno = 0;
+
+  /* "View.MemoryView":1276
+ *     Check for overlapping memory and verify the shapes.
+ *     """
+ *     cdef void *tmpdata = NULL             # <<<<<<<<<<<<<<
+ *     cdef size_t itemsize = src.memview.view.itemsize
+ *     cdef int i
+ */
+  __pyx_v_tmpdata = NULL;
+
+  /* "View.MemoryView":1277
+ *     """
+ *     cdef void *tmpdata = NULL
+ *     cdef size_t itemsize = src.memview.view.itemsize             # <<<<<<<<<<<<<<
+ *     cdef int i
+ *     cdef char order = get_best_order(&src, src_ndim)
+ */
+  __pyx_t_1 = __pyx_v_src.memview->view.itemsize;
+  __pyx_v_itemsize = __pyx_t_1;
+
+  /* "View.MemoryView":1279
+ *     cdef size_t itemsize = src.memview.view.itemsize
+ *     cdef int i
+ *     cdef char order = get_best_order(&src, src_ndim)             # <<<<<<<<<<<<<<
+ *     cdef bint broadcasting = False
+ *     cdef bint direct_copy = False
+ */
+  __pyx_v_order = __pyx_get_best_slice_order((&__pyx_v_src), __pyx_v_src_ndim);
+
+  /* "View.MemoryView":1280
+ *     cdef int i
+ *     cdef char order = get_best_order(&src, src_ndim)
+ *     cdef bint broadcasting = False             # <<<<<<<<<<<<<<
+ *     cdef bint direct_copy = False
+ *     cdef __Pyx_memviewslice tmp
+ */
+  __pyx_v_broadcasting = 0;
+
+  /* "View.MemoryView":1281
+ *     cdef char order = get_best_order(&src, src_ndim)
+ *     cdef bint broadcasting = False
+ *     cdef bint direct_copy = False             # <<<<<<<<<<<<<<
+ *     cdef __Pyx_memviewslice tmp
+ * 
+ */
+  __pyx_v_direct_copy = 0;
+
+  /* "View.MemoryView":1284
+ *     cdef __Pyx_memviewslice tmp
+ * 
+ *     if src_ndim < dst_ndim:             # <<<<<<<<<<<<<<
+ *         broadcast_leading(&src, src_ndim, dst_ndim)
+ *     elif dst_ndim < src_ndim:
+ */
+  __pyx_t_2 = ((__pyx_v_src_ndim < __pyx_v_dst_ndim) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":1285
+ * 
+ *     if src_ndim < dst_ndim:
+ *         broadcast_leading(&src, src_ndim, dst_ndim)             # <<<<<<<<<<<<<<
+ *     elif dst_ndim < src_ndim:
+ *         broadcast_leading(&dst, dst_ndim, src_ndim)
+ */
+    __pyx_memoryview_broadcast_leading((&__pyx_v_src), __pyx_v_src_ndim, __pyx_v_dst_ndim);
+
+    /* "View.MemoryView":1284
+ *     cdef __Pyx_memviewslice tmp
+ * 
+ *     if src_ndim < dst_ndim:             # <<<<<<<<<<<<<<
+ *         broadcast_leading(&src, src_ndim, dst_ndim)
+ *     elif dst_ndim < src_ndim:
+ */
+    goto __pyx_L3;
+  }
+
+  /* "View.MemoryView":1286
+ *     if src_ndim < dst_ndim:
+ *         broadcast_leading(&src, src_ndim, dst_ndim)
+ *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
+ *         broadcast_leading(&dst, dst_ndim, src_ndim)
+ * 
+ */
+  __pyx_t_2 = ((__pyx_v_dst_ndim < __pyx_v_src_ndim) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":1287
+ *         broadcast_leading(&src, src_ndim, dst_ndim)
+ *     elif dst_ndim < src_ndim:
+ *         broadcast_leading(&dst, dst_ndim, src_ndim)             # <<<<<<<<<<<<<<
+ * 
+ *     cdef int ndim = max(src_ndim, dst_ndim)
+ */
+    __pyx_memoryview_broadcast_leading((&__pyx_v_dst), __pyx_v_dst_ndim, __pyx_v_src_ndim);
+
+    /* "View.MemoryView":1286
+ *     if src_ndim < dst_ndim:
+ *         broadcast_leading(&src, src_ndim, dst_ndim)
+ *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
+ *         broadcast_leading(&dst, dst_ndim, src_ndim)
+ * 
+ */
+  }
+  __pyx_L3:;
+
+  /* "View.MemoryView":1289
+ *         broadcast_leading(&dst, dst_ndim, src_ndim)
+ * 
+ *     cdef int ndim = max(src_ndim, dst_ndim)             # <<<<<<<<<<<<<<
+ * 
+ *     for i in range(ndim):
+ */
+  __pyx_t_3 = __pyx_v_dst_ndim;
+  __pyx_t_4 = __pyx_v_src_ndim;
+  if (((__pyx_t_3 > __pyx_t_4) != 0)) {
+    __pyx_t_5 = __pyx_t_3;
+  } else {
+    __pyx_t_5 = __pyx_t_4;
+  }
+  __pyx_v_ndim = __pyx_t_5;
+
+  /* "View.MemoryView":1291
+ *     cdef int ndim = max(src_ndim, dst_ndim)
+ * 
+ *     for i in range(ndim):             # <<<<<<<<<<<<<<
+ *         if src.shape[i] != dst.shape[i]:
+ *             if src.shape[i] == 1:
+ */
+  __pyx_t_5 = __pyx_v_ndim;
+  __pyx_t_3 = __pyx_t_5;
+  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
+    __pyx_v_i = __pyx_t_4;
+
+    /* "View.MemoryView":1292
+ * 
+ *     for i in range(ndim):
+ *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
+ *             if src.shape[i] == 1:
+ *                 broadcasting = True
+ */
+    __pyx_t_2 = (((__pyx_v_src.shape[__pyx_v_i]) != (__pyx_v_dst.shape[__pyx_v_i])) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1293
+ *     for i in range(ndim):
+ *         if src.shape[i] != dst.shape[i]:
+ *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
+ *                 broadcasting = True
+ *                 src.strides[i] = 0
+ */
+      __pyx_t_2 = (((__pyx_v_src.shape[__pyx_v_i]) == 1) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":1294
+ *         if src.shape[i] != dst.shape[i]:
+ *             if src.shape[i] == 1:
+ *                 broadcasting = True             # <<<<<<<<<<<<<<
+ *                 src.strides[i] = 0
+ *             else:
+ */
+        __pyx_v_broadcasting = 1;
+
+        /* "View.MemoryView":1295
+ *             if src.shape[i] == 1:
+ *                 broadcasting = True
+ *                 src.strides[i] = 0             # <<<<<<<<<<<<<<
+ *             else:
+ *                 _err_extents(i, dst.shape[i], src.shape[i])
+ */
+        (__pyx_v_src.strides[__pyx_v_i]) = 0;
+
+        /* "View.MemoryView":1293
+ *     for i in range(ndim):
+ *         if src.shape[i] != dst.shape[i]:
+ *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
+ *                 broadcasting = True
+ *                 src.strides[i] = 0
+ */
+        goto __pyx_L7;
+      }
+
+      /* "View.MemoryView":1297
+ *                 src.strides[i] = 0
+ *             else:
+ *                 _err_extents(i, dst.shape[i], src.shape[i])             # <<<<<<<<<<<<<<
+ * 
+ *         if src.suboffsets[i] >= 0:
+ */
+      /*else*/ {
+        __pyx_t_6 = __pyx_memoryview_err_extents(__pyx_v_i, (__pyx_v_dst.shape[__pyx_v_i]), (__pyx_v_src.shape[__pyx_v_i])); if (unlikely(__pyx_t_6 == ((int)-1))) __PYX_ERR(1, 1297, __pyx_L1_error)
+      }
+      __pyx_L7:;
+
+      /* "View.MemoryView":1292
+ * 
+ *     for i in range(ndim):
+ *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
+ *             if src.shape[i] == 1:
+ *                 broadcasting = True
+ */
+    }
+
+    /* "View.MemoryView":1299
+ *                 _err_extents(i, dst.shape[i], src.shape[i])
+ * 
+ *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
+ *             _err_dim(ValueError, "Dimension %d is not direct", i)
+ * 
+ */
+    __pyx_t_2 = (((__pyx_v_src.suboffsets[__pyx_v_i]) >= 0) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1300
+ * 
+ *         if src.suboffsets[i] >= 0:
+ *             _err_dim(ValueError, "Dimension %d is not direct", i)             # <<<<<<<<<<<<<<
+ * 
+ *     if slices_overlap(&src, &dst, ndim, itemsize):
+ */
+      __pyx_t_6 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Dimension %d is not direct"), __pyx_v_i); if (unlikely(__pyx_t_6 == ((int)-1))) __PYX_ERR(1, 1300, __pyx_L1_error)
+
+      /* "View.MemoryView":1299
+ *                 _err_extents(i, dst.shape[i], src.shape[i])
+ * 
+ *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
+ *             _err_dim(ValueError, "Dimension %d is not direct", i)
+ * 
+ */
+    }
+  }
+
+  /* "View.MemoryView":1302
+ *             _err_dim(ValueError, "Dimension %d is not direct", i)
+ * 
+ *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
+ * 
+ *         if not slice_is_contig(src, order, ndim):
+ */
+  __pyx_t_2 = (__pyx_slices_overlap((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":1304
+ *     if slices_overlap(&src, &dst, ndim, itemsize):
+ * 
+ *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
+ *             order = get_best_order(&dst, ndim)
+ * 
+ */
+    __pyx_t_2 = ((!(__pyx_memviewslice_is_contig(__pyx_v_src, __pyx_v_order, __pyx_v_ndim) != 0)) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1305
+ * 
+ *         if not slice_is_contig(src, order, ndim):
+ *             order = get_best_order(&dst, ndim)             # <<<<<<<<<<<<<<
+ * 
+ *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
+ */
+      __pyx_v_order = __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim);
+
+      /* "View.MemoryView":1304
+ *     if slices_overlap(&src, &dst, ndim, itemsize):
+ * 
+ *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
+ *             order = get_best_order(&dst, ndim)
+ * 
+ */
+    }
+
+    /* "View.MemoryView":1307
+ *             order = get_best_order(&dst, ndim)
+ * 
+ *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)             # <<<<<<<<<<<<<<
+ *         src = tmp
+ * 
+ */
+    __pyx_t_7 = __pyx_memoryview_copy_data_to_temp((&__pyx_v_src), (&__pyx_v_tmp), __pyx_v_order, __pyx_v_ndim); if (unlikely(__pyx_t_7 == ((void *)NULL))) __PYX_ERR(1, 1307, __pyx_L1_error)
+    __pyx_v_tmpdata = __pyx_t_7;
+
+    /* "View.MemoryView":1308
+ * 
+ *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
+ *         src = tmp             # <<<<<<<<<<<<<<
+ * 
+ *     if not broadcasting:
+ */
+    __pyx_v_src = __pyx_v_tmp;
+
+    /* "View.MemoryView":1302
+ *             _err_dim(ValueError, "Dimension %d is not direct", i)
+ * 
+ *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
+ * 
+ *         if not slice_is_contig(src, order, ndim):
+ */
+  }
+
+  /* "View.MemoryView":1310
+ *         src = tmp
+ * 
+ *     if not broadcasting:             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  __pyx_t_2 = ((!(__pyx_v_broadcasting != 0)) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":1313
+ * 
+ * 
+ *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):
+ */
+    __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'C', __pyx_v_ndim) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1314
+ * 
+ *         if slice_is_contig(src, 'C', ndim):
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)             # <<<<<<<<<<<<<<
+ *         elif slice_is_contig(src, 'F', ndim):
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ */
+      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'C', __pyx_v_ndim);
+
+      /* "View.MemoryView":1313
+ * 
+ * 
+ *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):
+ */
+      goto __pyx_L12;
+    }
+
+    /* "View.MemoryView":1315
+ *         if slice_is_contig(src, 'C', ndim):
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ * 
+ */
+    __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'F', __pyx_v_ndim) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1316
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)             # <<<<<<<<<<<<<<
+ * 
+ *         if direct_copy:
+ */
+      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'F', __pyx_v_ndim);
+
+      /* "View.MemoryView":1315
+ *         if slice_is_contig(src, 'C', ndim):
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ * 
+ */
+    }
+    __pyx_L12:;
+
+    /* "View.MemoryView":1318
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ * 
+ *         if direct_copy:             # <<<<<<<<<<<<<<
+ * 
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)
+ */
+    __pyx_t_2 = (__pyx_v_direct_copy != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1320
+ *         if direct_copy:
+ * 
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
+ *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)
+ */
+      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);
+
+      /* "View.MemoryView":1321
+ * 
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)
+ *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))             # <<<<<<<<<<<<<<
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)
+ *             free(tmpdata)
+ */
+      (void)(memcpy(__pyx_v_dst.data, __pyx_v_src.data, __pyx_memoryview_slice_get_size((&__pyx_v_src), __pyx_v_ndim)));
+
+      /* "View.MemoryView":1322
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)
+ *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
+ *             free(tmpdata)
+ *             return 0
+ */
+      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);
+
+      /* "View.MemoryView":1323
+ *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)
+ *             free(tmpdata)             # <<<<<<<<<<<<<<
+ *             return 0
+ * 
+ */
+      free(__pyx_v_tmpdata);
+
+      /* "View.MemoryView":1324
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)
+ *             free(tmpdata)
+ *             return 0             # <<<<<<<<<<<<<<
+ * 
+ *     if order == 'F' == get_best_order(&dst, ndim):
+ */
+      __pyx_r = 0;
+      goto __pyx_L0;
+
+      /* "View.MemoryView":1318
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ * 
+ *         if direct_copy:             # <<<<<<<<<<<<<<
+ * 
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)
+ */
+    }
+
+    /* "View.MemoryView":1310
+ *         src = tmp
+ * 
+ *     if not broadcasting:             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  }
+
+  /* "View.MemoryView":1326
+ *             return 0
+ * 
+ *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  __pyx_t_2 = (__pyx_v_order == 'F');
+  if (__pyx_t_2) {
+    __pyx_t_2 = ('F' == __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim));
+  }
+  __pyx_t_8 = (__pyx_t_2 != 0);
+  if (__pyx_t_8) {
+
+    /* "View.MemoryView":1329
+ * 
+ * 
+ *         transpose_memslice(&src)             # <<<<<<<<<<<<<<
+ *         transpose_memslice(&dst)
+ * 
+ */
+    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_src)); if (unlikely(__pyx_t_5 == ((int)0))) __PYX_ERR(1, 1329, __pyx_L1_error)
+
+    /* "View.MemoryView":1330
+ * 
+ *         transpose_memslice(&src)
+ *         transpose_memslice(&dst)             # <<<<<<<<<<<<<<
+ * 
+ *     refcount_copying(&dst, dtype_is_object, ndim, False)
+ */
+    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_dst)); if (unlikely(__pyx_t_5 == ((int)0))) __PYX_ERR(1, 1330, __pyx_L1_error)
+
+    /* "View.MemoryView":1326
+ *             return 0
+ * 
+ *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  }
+
+  /* "View.MemoryView":1332
+ *         transpose_memslice(&dst)
+ * 
+ *     refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
+ *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
+ *     refcount_copying(&dst, dtype_is_object, ndim, True)
+ */
+  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);
+
+  /* "View.MemoryView":1333
+ * 
+ *     refcount_copying(&dst, dtype_is_object, ndim, False)
+ *     copy_strided_to_strided(&src, &dst, ndim, itemsize)             # <<<<<<<<<<<<<<
+ *     refcount_copying(&dst, dtype_is_object, ndim, True)
+ * 
+ */
+  copy_strided_to_strided((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize);
+
+  /* "View.MemoryView":1334
+ *     refcount_copying(&dst, dtype_is_object, ndim, False)
+ *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
+ *     refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
+ * 
+ *     free(tmpdata)
+ */
+  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);
+
+  /* "View.MemoryView":1336
+ *     refcount_copying(&dst, dtype_is_object, ndim, True)
+ * 
+ *     free(tmpdata)             # <<<<<<<<<<<<<<
+ *     return 0
+ * 
+ */
+  free(__pyx_v_tmpdata);
+
+  /* "View.MemoryView":1337
+ * 
+ *     free(tmpdata)
+ *     return 0             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_memoryview_broadcast_leading')
+ */
+  __pyx_r = 0;
+  goto __pyx_L0;
+
+  /* "View.MemoryView":1268
+ * 
+ * @cname('__pyx_memoryview_copy_contents')
+ * cdef int memoryview_copy_contents(__Pyx_memviewslice src,             # <<<<<<<<<<<<<<
+ *                                   __Pyx_memviewslice dst,
+ *                                   int src_ndim, int dst_ndim,
+ */
+
+  /* function exit code */
+  __pyx_L1_error:;
+  {
+    #ifdef WITH_THREAD
+    PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
+    #endif
+    __Pyx_AddTraceback("View.MemoryView.memoryview_copy_contents", __pyx_clineno, __pyx_lineno, __pyx_filename);
+    #ifdef WITH_THREAD
+    __Pyx_PyGILState_Release(__pyx_gilstate_save);
+    #endif
+  }
+  __pyx_r = -1;
+  __pyx_L0:;
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+}
+
+/* "View.MemoryView":1340
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+ * @cname('__pyx_memoryview_broadcast_leading')
+ * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
+ *                             int ndim,
+ *                             int ndim_other) nogil:
+ */
+
+static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim, int __pyx_v_ndim_other) {
+  int __pyx_v_i;
+  int __pyx_v_offset;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
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+  /* "View.MemoryView":1344
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+ *     cdef int offset = ndim_other - ndim             # <<<<<<<<<<<<<<
+ * 
+ *     for i in range(ndim - 1, -1, -1):
+ */
+  __pyx_v_offset = (__pyx_v_ndim_other - __pyx_v_ndim);
+
+  /* "View.MemoryView":1346
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+ * 
+ *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
+ *         mslice.shape[i + offset] = mslice.shape[i]
+ *         mslice.strides[i + offset] = mslice.strides[i]
+ */
+  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1; __pyx_t_1-=1) {
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+
+    /* "View.MemoryView":1347
+ * 
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+ *         mslice.shape[i + offset] = mslice.shape[i]             # <<<<<<<<<<<<<<
+ *         mslice.strides[i + offset] = mslice.strides[i]
+ *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
+ */
+    (__pyx_v_mslice->shape[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->shape[__pyx_v_i]);
+
+    /* "View.MemoryView":1348
+ *     for i in range(ndim - 1, -1, -1):
+ *         mslice.shape[i + offset] = mslice.shape[i]
+ *         mslice.strides[i + offset] = mslice.strides[i]             # <<<<<<<<<<<<<<
+ *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
+ * 
+ */
+    (__pyx_v_mslice->strides[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->strides[__pyx_v_i]);
+
+    /* "View.MemoryView":1349
+ *         mslice.shape[i + offset] = mslice.shape[i]
+ *         mslice.strides[i + offset] = mslice.strides[i]
+ *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]             # <<<<<<<<<<<<<<
+ * 
+ *     for i in range(offset):
+ */
+    (__pyx_v_mslice->suboffsets[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->suboffsets[__pyx_v_i]);
+  }
+
+  /* "View.MemoryView":1351
+ *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
+ * 
+ *     for i in range(offset):             # <<<<<<<<<<<<<<
+ *         mslice.shape[i] = 1
+ *         mslice.strides[i] = mslice.strides[0]
+ */
+  __pyx_t_1 = __pyx_v_offset;
+  __pyx_t_2 = __pyx_t_1;
+  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
+    __pyx_v_i = __pyx_t_3;
+
+    /* "View.MemoryView":1352
+ * 
+ *     for i in range(offset):
+ *         mslice.shape[i] = 1             # <<<<<<<<<<<<<<
+ *         mslice.strides[i] = mslice.strides[0]
+ *         mslice.suboffsets[i] = -1
+ */
+    (__pyx_v_mslice->shape[__pyx_v_i]) = 1;
+
+    /* "View.MemoryView":1353
+ *     for i in range(offset):
+ *         mslice.shape[i] = 1
+ *         mslice.strides[i] = mslice.strides[0]             # <<<<<<<<<<<<<<
+ *         mslice.suboffsets[i] = -1
+ * 
+ */
+    (__pyx_v_mslice->strides[__pyx_v_i]) = (__pyx_v_mslice->strides[0]);
+
+    /* "View.MemoryView":1354
+ *         mslice.shape[i] = 1
+ *         mslice.strides[i] = mslice.strides[0]
+ *         mslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+    (__pyx_v_mslice->suboffsets[__pyx_v_i]) = -1L;
+  }
+
+  /* "View.MemoryView":1340
+ * 
+ * @cname('__pyx_memoryview_broadcast_leading')
+ * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
+ *                             int ndim,
+ *                             int ndim_other) nogil:
+ */
+
+  /* function exit code */
+}
+
+/* "View.MemoryView":1362
+ * 
+ * @cname('__pyx_memoryview_refcount_copying')
+ * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object,             # <<<<<<<<<<<<<<
+ *                            int ndim, bint inc) nogil:
+ * 
+ */
+
+static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_dtype_is_object, int __pyx_v_ndim, int __pyx_v_inc) {
+  int __pyx_t_1;
+
+  /* "View.MemoryView":1366
+ * 
+ * 
+ *     if dtype_is_object:             # <<<<<<<<<<<<<<
+ *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,
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+ */
+  __pyx_t_1 = (__pyx_v_dtype_is_object != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":1367
+ * 
+ *     if dtype_is_object:
+ *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,             # <<<<<<<<<<<<<<
+ *                                            dst.strides, ndim, inc)
+ * 
+ */
+    __pyx_memoryview_refcount_objects_in_slice_with_gil(__pyx_v_dst->data, __pyx_v_dst->shape, __pyx_v_dst->strides, __pyx_v_ndim, __pyx_v_inc);
+
+    /* "View.MemoryView":1366
+ * 
+ * 
+ *     if dtype_is_object:             # <<<<<<<<<<<<<<
+ *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,
+ *                                            dst.strides, ndim, inc)
+ */
+  }
+
+  /* "View.MemoryView":1362
+ * 
+ * @cname('__pyx_memoryview_refcount_copying')
+ * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object,             # <<<<<<<<<<<<<<
+ *                            int ndim, bint inc) nogil:
+ * 
+ */
+
+  /* function exit code */
+}
+
+/* "View.MemoryView":1371
+ * 
+ * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')
+ * cdef void refcount_objects_in_slice_with_gil(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
+ *                                              Py_ssize_t *strides, int ndim,
+ *                                              bint inc) with gil:
+ */
+
+static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {
+  __Pyx_RefNannyDeclarations
+  #ifdef WITH_THREAD
+  PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
+  #endif
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+ *                                              Py_ssize_t *strides, int ndim,
+ *                                              bint inc) with gil:
+ *     refcount_objects_in_slice(data, shape, strides, ndim, inc)             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_memoryview_refcount_objects_in_slice')
+ */
+  __pyx_memoryview_refcount_objects_in_slice(__pyx_v_data, __pyx_v_shape, __pyx_v_strides, __pyx_v_ndim, __pyx_v_inc);
+
+  /* "View.MemoryView":1371
+ * 
+ * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')
+ * cdef void refcount_objects_in_slice_with_gil(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
+ *                                              Py_ssize_t *strides, int ndim,
+ *                                              bint inc) with gil:
+ */
+
+  /* function exit code */
+  __Pyx_RefNannyFinishContext();
+  #ifdef WITH_THREAD
+  __Pyx_PyGILState_Release(__pyx_gilstate_save);
+  #endif
+}
+
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+ * @cname('__pyx_memoryview_refcount_objects_in_slice')
+ * cdef void refcount_objects_in_slice(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
+ *                                     Py_ssize_t *strides, int ndim, bint inc):
+ *     cdef Py_ssize_t i
+ */
+
+static void __pyx_memoryview_refcount_objects_in_slice(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {
+  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
+  __Pyx_RefNannyDeclarations
+  Py_ssize_t __pyx_t_1;
+  Py_ssize_t __pyx_t_2;
+  Py_ssize_t __pyx_t_3;
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+ *         if ndim == 1:
+ *             if inc:
+ */
+  __pyx_t_1 = (__pyx_v_shape[0]);
+  __pyx_t_2 = __pyx_t_1;
+  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
+    __pyx_v_i = __pyx_t_3;
+
+    /* "View.MemoryView":1382
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+ *     for i in range(shape[0]):
+ *         if ndim == 1:             # <<<<<<<<<<<<<<
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+ *                 Py_INCREF((<PyObject **> data)[0])
+ */
+    __pyx_t_4 = ((__pyx_v_ndim == 1) != 0);
+    if (__pyx_t_4) {
+
+      /* "View.MemoryView":1383
+ *     for i in range(shape[0]):
+ *         if ndim == 1:
+ *             if inc:             # <<<<<<<<<<<<<<
+ *                 Py_INCREF((<PyObject **> data)[0])
+ *             else:
+ */
+      __pyx_t_4 = (__pyx_v_inc != 0);
+      if (__pyx_t_4) {
+
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+ *                 Py_INCREF((<PyObject **> data)[0])             # <<<<<<<<<<<<<<
+ *             else:
+ *                 Py_DECREF((<PyObject **> data)[0])
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+        Py_INCREF((((PyObject **)__pyx_v_data)[0]));
+
+        /* "View.MemoryView":1383
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+ *         if ndim == 1:
+ *             if inc:             # <<<<<<<<<<<<<<
+ *                 Py_INCREF((<PyObject **> data)[0])
+ *             else:
+ */
+        goto __pyx_L6;
+      }
+
+      /* "View.MemoryView":1386
+ *                 Py_INCREF((<PyObject **> data)[0])
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+ *                 Py_DECREF((<PyObject **> data)[0])             # <<<<<<<<<<<<<<
+ *         else:
+ *             refcount_objects_in_slice(data, shape + 1, strides + 1,
+ */
+      /*else*/ {
+        Py_DECREF((((PyObject **)__pyx_v_data)[0]));
+      }
+      __pyx_L6:;
+
+      /* "View.MemoryView":1382
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+ *     for i in range(shape[0]):
+ *         if ndim == 1:             # <<<<<<<<<<<<<<
+ *             if inc:
+ *                 Py_INCREF((<PyObject **> data)[0])
+ */
+      goto __pyx_L5;
+    }
+
+    /* "View.MemoryView":1388
+ *                 Py_DECREF((<PyObject **> data)[0])
+ *         else:
+ *             refcount_objects_in_slice(data, shape + 1, strides + 1,             # <<<<<<<<<<<<<<
+ *                                       ndim - 1, inc)
+ * 
+ */
+    /*else*/ {
+
+      /* "View.MemoryView":1389
+ *         else:
+ *             refcount_objects_in_slice(data, shape + 1, strides + 1,
+ *                                       ndim - 1, inc)             # <<<<<<<<<<<<<<
+ * 
+ *         data += strides[0]
+ */
+      __pyx_memoryview_refcount_objects_in_slice(__pyx_v_data, (__pyx_v_shape + 1), (__pyx_v_strides + 1), (__pyx_v_ndim - 1), __pyx_v_inc);
+    }
+    __pyx_L5:;
+
+    /* "View.MemoryView":1391
+ *                                       ndim - 1, inc)
+ * 
+ *         data += strides[0]             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+    __pyx_v_data = (__pyx_v_data + (__pyx_v_strides[0]));
+  }
+
+  /* "View.MemoryView":1377
+ * 
+ * @cname('__pyx_memoryview_refcount_objects_in_slice')
+ * cdef void refcount_objects_in_slice(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
+ *                                     Py_ssize_t *strides, int ndim, bint inc):
+ *     cdef Py_ssize_t i
+ */
+
+  /* function exit code */
+  __Pyx_RefNannyFinishContext();
+}
+
+/* "View.MemoryView":1397
+ * 
+ * @cname('__pyx_memoryview_slice_assign_scalar')
+ * cdef void slice_assign_scalar(__Pyx_memviewslice *dst, int ndim,             # <<<<<<<<<<<<<<
+ *                               size_t itemsize, void *item,
+ *                               bint dtype_is_object) nogil:
+ */
+
+static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize, void *__pyx_v_item, int __pyx_v_dtype_is_object) {
+
+  /* "View.MemoryView":1400
+ *                               size_t itemsize, void *item,
+ *                               bint dtype_is_object) nogil:
+ *     refcount_copying(dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
+ *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim,
+ *                          itemsize, item)
+ */
+  __pyx_memoryview_refcount_copying(__pyx_v_dst, __pyx_v_dtype_is_object, __pyx_v_ndim, 0);
+
+  /* "View.MemoryView":1401
+ *                               bint dtype_is_object) nogil:
+ *     refcount_copying(dst, dtype_is_object, ndim, False)
+ *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim,             # <<<<<<<<<<<<<<
+ *                          itemsize, item)
+ *     refcount_copying(dst, dtype_is_object, ndim, True)
+ */
+  __pyx_memoryview__slice_assign_scalar(__pyx_v_dst->data, __pyx_v_dst->shape, __pyx_v_dst->strides, __pyx_v_ndim, __pyx_v_itemsize, __pyx_v_item);
+
+  /* "View.MemoryView":1403
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+ * 
+ * 
+ */
+  __pyx_memoryview_refcount_copying(__pyx_v_dst, __pyx_v_dtype_is_object, __pyx_v_ndim, 1);
+
+  /* "View.MemoryView":1397
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+ * @cname('__pyx_memoryview_slice_assign_scalar')
+ * cdef void slice_assign_scalar(__Pyx_memviewslice *dst, int ndim,             # <<<<<<<<<<<<<<
+ *                               size_t itemsize, void *item,
+ *                               bint dtype_is_object) nogil:
+ */
+
+  /* function exit code */
+}
+
+/* "View.MemoryView":1407
+ * 
+ * @cname('__pyx_memoryview__slice_assign_scalar')
+ * cdef void _slice_assign_scalar(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
+ *                               Py_ssize_t *strides, int ndim,
+ *                               size_t itemsize, void *item) nogil:
+ */
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+static void __pyx_memoryview__slice_assign_scalar(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, size_t __pyx_v_itemsize, void *__pyx_v_item) {
+  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
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+  Py_ssize_t __pyx_v_extent;
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+  Py_ssize_t __pyx_t_2;
+  Py_ssize_t __pyx_t_3;
+  Py_ssize_t __pyx_t_4;
+
+  /* "View.MemoryView":1411
+ *                               size_t itemsize, void *item) nogil:
+ *     cdef Py_ssize_t i
+ *     cdef Py_ssize_t stride = strides[0]             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t extent = shape[0]
+ * 
+ */
+  __pyx_v_stride = (__pyx_v_strides[0]);
+
+  /* "View.MemoryView":1412
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+ *     cdef Py_ssize_t stride = strides[0]
+ *     cdef Py_ssize_t extent = shape[0]             # <<<<<<<<<<<<<<
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+ *     if ndim == 1:
+ */
+  __pyx_v_extent = (__pyx_v_shape[0]);
+
+  /* "View.MemoryView":1414
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+ * 
+ *     if ndim == 1:             # <<<<<<<<<<<<<<
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+  __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":1415
+ * 
+ *     if ndim == 1:
+ *         for i in range(extent):             # <<<<<<<<<<<<<<
+ *             memcpy(data, item, itemsize)
+ *             data += stride
+ */
+    __pyx_t_2 = __pyx_v_extent;
+    __pyx_t_3 = __pyx_t_2;
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+      __pyx_v_i = __pyx_t_4;
+
+      /* "View.MemoryView":1416
+ *     if ndim == 1:
+ *         for i in range(extent):
+ *             memcpy(data, item, itemsize)             # <<<<<<<<<<<<<<
+ *             data += stride
+ *     else:
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+      (void)(memcpy(__pyx_v_data, __pyx_v_item, __pyx_v_itemsize));
+
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+    /* "(tree fragment)":14
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+ *     if len(__pyx_state) > 1 and hasattr(__pyx_result, '__dict__'):
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+    if (unlikely(__pyx_v___pyx_state == Py_None)) {
+      PyErr_SetString(PyExc_TypeError, "'NoneType' object is not subscriptable");
+      __PYX_ERR(1, 14, __pyx_L1_error)
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+    __Pyx_GOTREF(__pyx_t_6);
+    __pyx_t_8 = NULL;
+    if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_7))) {
+      __pyx_t_8 = PyMethod_GET_SELF(__pyx_t_7);
+      if (likely(__pyx_t_8)) {
+        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_7);
+        __Pyx_INCREF(__pyx_t_8);
+        __Pyx_INCREF(function);
+        __Pyx_DECREF_SET(__pyx_t_7, function);
+      }
+    }
+    __pyx_t_1 = (__pyx_t_8) ? __Pyx_PyObject_Call2Args(__pyx_t_7, __pyx_t_8, __pyx_t_6) : __Pyx_PyObject_CallOneArg(__pyx_t_7, __pyx_t_6);
+    __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
+    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
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+    __Pyx_GOTREF(__pyx_t_1);
+    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
+    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
+
+    /* "(tree fragment)":13
+ * cdef __pyx_unpickle_Enum__set_state(Enum __pyx_result, tuple __pyx_state):
+ *     __pyx_result.name = __pyx_state[0]
+ *     if len(__pyx_state) > 1 and hasattr(__pyx_result, '__dict__'):             # <<<<<<<<<<<<<<
+ *         __pyx_result.__dict__.update(__pyx_state[1])
+ */
+  }
+
+  /* "(tree fragment)":11
+ *         __pyx_unpickle_Enum__set_state(<Enum> __pyx_result, __pyx_state)
+ *     return __pyx_result
+ * cdef __pyx_unpickle_Enum__set_state(Enum __pyx_result, tuple __pyx_state):             # <<<<<<<<<<<<<<
+ *     __pyx_result.name = __pyx_state[0]
+ *     if len(__pyx_state) > 1 and hasattr(__pyx_result, '__dict__'):
+ */
+
+  /* function exit code */
+  __pyx_r = Py_None; __Pyx_INCREF(Py_None);
+  goto __pyx_L0;
+  __pyx_L1_error:;
+  __Pyx_XDECREF(__pyx_t_1);
+  __Pyx_XDECREF(__pyx_t_6);
+  __Pyx_XDECREF(__pyx_t_7);
+  __Pyx_XDECREF(__pyx_t_8);
+  __Pyx_AddTraceback("View.MemoryView.__pyx_unpickle_Enum__set_state", __pyx_clineno, __pyx_lineno, __pyx_filename);
+  __pyx_r = 0;
+  __pyx_L0:;
+  __Pyx_XGIVEREF(__pyx_r);
+  __Pyx_RefNannyFinishContext();
+  return __pyx_r;
+}
+static struct __pyx_vtabstruct_array __pyx_vtable_array;
+
+static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k) {
+  struct __pyx_array_obj *p;
+  PyObject *o;
+  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
+    o = (*t->tp_alloc)(t, 0);
+  } else {
+    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
+  }
+  if (unlikely(!o)) return 0;
+  p = ((struct __pyx_array_obj *)o);
+  p->__pyx_vtab = __pyx_vtabptr_array;
+  p->mode = ((PyObject*)Py_None); Py_INCREF(Py_None);
+  p->_format = ((PyObject*)Py_None); Py_INCREF(Py_None);
+  if (unlikely(__pyx_array___cinit__(o, a, k) < 0)) goto bad;
+  return o;
+  bad:
+  Py_DECREF(o); o = 0;
+  return NULL;
+}
+
+static void __pyx_tp_dealloc_array(PyObject *o) {
+  struct __pyx_array_obj *p = (struct __pyx_array_obj *)o;
+  #if CYTHON_USE_TP_FINALIZE
+  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
+    if (PyObject_CallFinalizerFromDealloc(o)) return;
+  }
+  #endif
+  {
+    PyObject *etype, *eval, *etb;
+    PyErr_Fetch(&etype, &eval, &etb);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
+    __pyx_array___dealloc__(o);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
+    PyErr_Restore(etype, eval, etb);
+  }
+  Py_CLEAR(p->mode);
+  Py_CLEAR(p->_format);
+  (*Py_TYPE(o)->tp_free)(o);
+}
+static PyObject *__pyx_sq_item_array(PyObject *o, Py_ssize_t i) {
+  PyObject *r;
+  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
+  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
+  Py_DECREF(x);
+  return r;
+}
+
+static int __pyx_mp_ass_subscript_array(PyObject *o, PyObject *i, PyObject *v) {
+  if (v) {
+    return __pyx_array___setitem__(o, i, v);
+  }
+  else {
+    PyErr_Format(PyExc_NotImplementedError,
+      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
+    return -1;
+  }
+}
+
+static PyObject *__pyx_tp_getattro_array(PyObject *o, PyObject *n) {
+  PyObject *v = __Pyx_PyObject_GenericGetAttr(o, n);
+  if (!v && PyErr_ExceptionMatches(PyExc_AttributeError)) {
+    PyErr_Clear();
+    v = __pyx_array___getattr__(o, n);
+  }
+  return v;
+}
+
+static PyObject *__pyx_getprop___pyx_array_memview(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_5array_7memview_1__get__(o);
+}
+
+static PyMethodDef __pyx_methods_array[] = {
+  {"__getattr__", (PyCFunction)__pyx_array___getattr__, METH_O|METH_COEXIST, 0},
+  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_array_1__reduce_cython__, METH_NOARGS, 0},
+  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_array_3__setstate_cython__, METH_O, 0},
+  {0, 0, 0, 0}
+};
+
+static struct PyGetSetDef __pyx_getsets_array[] = {
+  {(char *)"memview", __pyx_getprop___pyx_array_memview, 0, (char *)0, 0},
+  {0, 0, 0, 0, 0}
+};
+
+static PySequenceMethods __pyx_tp_as_sequence_array = {
+  __pyx_array___len__, /*sq_length*/
+  0, /*sq_concat*/
+  0, /*sq_repeat*/
+  __pyx_sq_item_array, /*sq_item*/
+  0, /*sq_slice*/
+  0, /*sq_ass_item*/
+  0, /*sq_ass_slice*/
+  0, /*sq_contains*/
+  0, /*sq_inplace_concat*/
+  0, /*sq_inplace_repeat*/
+};
+
+static PyMappingMethods __pyx_tp_as_mapping_array = {
+  __pyx_array___len__, /*mp_length*/
+  __pyx_array___getitem__, /*mp_subscript*/
+  __pyx_mp_ass_subscript_array, /*mp_ass_subscript*/
+};
+
+static PyBufferProcs __pyx_tp_as_buffer_array = {
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getreadbuffer*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getwritebuffer*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getsegcount*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getcharbuffer*/
+  #endif
+  __pyx_array_getbuffer, /*bf_getbuffer*/
+  0, /*bf_releasebuffer*/
+};
+
+static PyTypeObject __pyx_type___pyx_array = {
+  PyVarObject_HEAD_INIT(0, 0)
+  "fxpcs_sparse.array", /*tp_name*/
+  sizeof(struct __pyx_array_obj), /*tp_basicsize*/
+  0, /*tp_itemsize*/
+  __pyx_tp_dealloc_array, /*tp_dealloc*/
+  #if PY_VERSION_HEX < 0x030800b4
+  0, /*tp_print*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4
+  0, /*tp_vectorcall_offset*/
+  #endif
+  0, /*tp_getattr*/
+  0, /*tp_setattr*/
+  #if PY_MAJOR_VERSION < 3
+  0, /*tp_compare*/
+  #endif
+  #if PY_MAJOR_VERSION >= 3
+  0, /*tp_as_async*/
+  #endif
+  0, /*tp_repr*/
+  0, /*tp_as_number*/
+  &__pyx_tp_as_sequence_array, /*tp_as_sequence*/
+  &__pyx_tp_as_mapping_array, /*tp_as_mapping*/
+  0, /*tp_hash*/
+  0, /*tp_call*/
+  0, /*tp_str*/
+  __pyx_tp_getattro_array, /*tp_getattro*/
+  0, /*tp_setattro*/
+  &__pyx_tp_as_buffer_array, /*tp_as_buffer*/
+  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
+  0, /*tp_doc*/
+  0, /*tp_traverse*/
+  0, /*tp_clear*/
+  0, /*tp_richcompare*/
+  0, /*tp_weaklistoffset*/
+  0, /*tp_iter*/
+  0, /*tp_iternext*/
+  __pyx_methods_array, /*tp_methods*/
+  0, /*tp_members*/
+  __pyx_getsets_array, /*tp_getset*/
+  0, /*tp_base*/
+  0, /*tp_dict*/
+  0, /*tp_descr_get*/
+  0, /*tp_descr_set*/
+  0, /*tp_dictoffset*/
+  0, /*tp_init*/
+  0, /*tp_alloc*/
+  __pyx_tp_new_array, /*tp_new*/
+  0, /*tp_free*/
+  0, /*tp_is_gc*/
+  0, /*tp_bases*/
+  0, /*tp_mro*/
+  0, /*tp_cache*/
+  0, /*tp_subclasses*/
+  0, /*tp_weaklist*/
+  0, /*tp_del*/
+  0, /*tp_version_tag*/
+  #if PY_VERSION_HEX >= 0x030400a1
+  0, /*tp_finalize*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b1
+  0, /*tp_vectorcall*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
+  0, /*tp_print*/
+  #endif
+};
+
+static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
+  struct __pyx_MemviewEnum_obj *p;
+  PyObject *o;
+  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
+    o = (*t->tp_alloc)(t, 0);
+  } else {
+    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
+  }
+  if (unlikely(!o)) return 0;
+  p = ((struct __pyx_MemviewEnum_obj *)o);
+  p->name = Py_None; Py_INCREF(Py_None);
+  return o;
+}
+
+static void __pyx_tp_dealloc_Enum(PyObject *o) {
+  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
+  #if CYTHON_USE_TP_FINALIZE
+  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
+    if (PyObject_CallFinalizerFromDealloc(o)) return;
+  }
+  #endif
+  PyObject_GC_UnTrack(o);
+  Py_CLEAR(p->name);
+  (*Py_TYPE(o)->tp_free)(o);
+}
+
+static int __pyx_tp_traverse_Enum(PyObject *o, visitproc v, void *a) {
+  int e;
+  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
+  if (p->name) {
+    e = (*v)(p->name, a); if (e) return e;
+  }
+  return 0;
+}
+
+static int __pyx_tp_clear_Enum(PyObject *o) {
+  PyObject* tmp;
+  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
+  tmp = ((PyObject*)p->name);
+  p->name = Py_None; Py_INCREF(Py_None);
+  Py_XDECREF(tmp);
+  return 0;
+}
+
+static PyMethodDef __pyx_methods_Enum[] = {
+  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_1__reduce_cython__, METH_NOARGS, 0},
+  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_3__setstate_cython__, METH_O, 0},
+  {0, 0, 0, 0}
+};
+
+static PyTypeObject __pyx_type___pyx_MemviewEnum = {
+  PyVarObject_HEAD_INIT(0, 0)
+  "fxpcs_sparse.Enum", /*tp_name*/
+  sizeof(struct __pyx_MemviewEnum_obj), /*tp_basicsize*/
+  0, /*tp_itemsize*/
+  __pyx_tp_dealloc_Enum, /*tp_dealloc*/
+  #if PY_VERSION_HEX < 0x030800b4
+  0, /*tp_print*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4
+  0, /*tp_vectorcall_offset*/
+  #endif
+  0, /*tp_getattr*/
+  0, /*tp_setattr*/
+  #if PY_MAJOR_VERSION < 3
+  0, /*tp_compare*/
+  #endif
+  #if PY_MAJOR_VERSION >= 3
+  0, /*tp_as_async*/
+  #endif
+  __pyx_MemviewEnum___repr__, /*tp_repr*/
+  0, /*tp_as_number*/
+  0, /*tp_as_sequence*/
+  0, /*tp_as_mapping*/
+  0, /*tp_hash*/
+  0, /*tp_call*/
+  0, /*tp_str*/
+  0, /*tp_getattro*/
+  0, /*tp_setattro*/
+  0, /*tp_as_buffer*/
+  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
+  0, /*tp_doc*/
+  __pyx_tp_traverse_Enum, /*tp_traverse*/
+  __pyx_tp_clear_Enum, /*tp_clear*/
+  0, /*tp_richcompare*/
+  0, /*tp_weaklistoffset*/
+  0, /*tp_iter*/
+  0, /*tp_iternext*/
+  __pyx_methods_Enum, /*tp_methods*/
+  0, /*tp_members*/
+  0, /*tp_getset*/
+  0, /*tp_base*/
+  0, /*tp_dict*/
+  0, /*tp_descr_get*/
+  0, /*tp_descr_set*/
+  0, /*tp_dictoffset*/
+  __pyx_MemviewEnum___init__, /*tp_init*/
+  0, /*tp_alloc*/
+  __pyx_tp_new_Enum, /*tp_new*/
+  0, /*tp_free*/
+  0, /*tp_is_gc*/
+  0, /*tp_bases*/
+  0, /*tp_mro*/
+  0, /*tp_cache*/
+  0, /*tp_subclasses*/
+  0, /*tp_weaklist*/
+  0, /*tp_del*/
+  0, /*tp_version_tag*/
+  #if PY_VERSION_HEX >= 0x030400a1
+  0, /*tp_finalize*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b1
+  0, /*tp_vectorcall*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
+  0, /*tp_print*/
+  #endif
+};
+static struct __pyx_vtabstruct_memoryview __pyx_vtable_memoryview;
+
+static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k) {
+  struct __pyx_memoryview_obj *p;
+  PyObject *o;
+  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
+    o = (*t->tp_alloc)(t, 0);
+  } else {
+    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
+  }
+  if (unlikely(!o)) return 0;
+  p = ((struct __pyx_memoryview_obj *)o);
+  p->__pyx_vtab = __pyx_vtabptr_memoryview;
+  p->obj = Py_None; Py_INCREF(Py_None);
+  p->_size = Py_None; Py_INCREF(Py_None);
+  p->_array_interface = Py_None; Py_INCREF(Py_None);
+  p->view.obj = NULL;
+  if (unlikely(__pyx_memoryview___cinit__(o, a, k) < 0)) goto bad;
+  return o;
+  bad:
+  Py_DECREF(o); o = 0;
+  return NULL;
+}
+
+static void __pyx_tp_dealloc_memoryview(PyObject *o) {
+  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
+  #if CYTHON_USE_TP_FINALIZE
+  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
+    if (PyObject_CallFinalizerFromDealloc(o)) return;
+  }
+  #endif
+  PyObject_GC_UnTrack(o);
+  {
+    PyObject *etype, *eval, *etb;
+    PyErr_Fetch(&etype, &eval, &etb);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
+    __pyx_memoryview___dealloc__(o);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
+    PyErr_Restore(etype, eval, etb);
+  }
+  Py_CLEAR(p->obj);
+  Py_CLEAR(p->_size);
+  Py_CLEAR(p->_array_interface);
+  (*Py_TYPE(o)->tp_free)(o);
+}
+
+static int __pyx_tp_traverse_memoryview(PyObject *o, visitproc v, void *a) {
+  int e;
+  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
+  if (p->obj) {
+    e = (*v)(p->obj, a); if (e) return e;
+  }
+  if (p->_size) {
+    e = (*v)(p->_size, a); if (e) return e;
+  }
+  if (p->_array_interface) {
+    e = (*v)(p->_array_interface, a); if (e) return e;
+  }
+  if (p->view.obj) {
+    e = (*v)(p->view.obj, a); if (e) return e;
+  }
+  return 0;
+}
+
+static int __pyx_tp_clear_memoryview(PyObject *o) {
+  PyObject* tmp;
+  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
+  tmp = ((PyObject*)p->obj);
+  p->obj = Py_None; Py_INCREF(Py_None);
+  Py_XDECREF(tmp);
+  tmp = ((PyObject*)p->_size);
+  p->_size = Py_None; Py_INCREF(Py_None);
+  Py_XDECREF(tmp);
+  tmp = ((PyObject*)p->_array_interface);
+  p->_array_interface = Py_None; Py_INCREF(Py_None);
+  Py_XDECREF(tmp);
+  Py_CLEAR(p->view.obj);
+  return 0;
+}
+static PyObject *__pyx_sq_item_memoryview(PyObject *o, Py_ssize_t i) {
+  PyObject *r;
+  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
+  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
+  Py_DECREF(x);
+  return r;
+}
+
+static int __pyx_mp_ass_subscript_memoryview(PyObject *o, PyObject *i, PyObject *v) {
+  if (v) {
+    return __pyx_memoryview___setitem__(o, i, v);
+  }
+  else {
+    PyErr_Format(PyExc_NotImplementedError,
+      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
+    return -1;
+  }
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_T(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_1T_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_base(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_4base_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_shape(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_5shape_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_strides(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_7strides_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_suboffsets(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_10suboffsets_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_ndim(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_4ndim_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_itemsize(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_8itemsize_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_nbytes(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_6nbytes_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_size(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_4size_1__get__(o);
+}
+
+static PyMethodDef __pyx_methods_memoryview[] = {
+  {"is_c_contig", (PyCFunction)__pyx_memoryview_is_c_contig, METH_NOARGS, 0},
+  {"is_f_contig", (PyCFunction)__pyx_memoryview_is_f_contig, METH_NOARGS, 0},
+  {"copy", (PyCFunction)__pyx_memoryview_copy, METH_NOARGS, 0},
+  {"copy_fortran", (PyCFunction)__pyx_memoryview_copy_fortran, METH_NOARGS, 0},
+  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_1__reduce_cython__, METH_NOARGS, 0},
+  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_3__setstate_cython__, METH_O, 0},
+  {0, 0, 0, 0}
+};
+
+static struct PyGetSetDef __pyx_getsets_memoryview[] = {
+  {(char *)"T", __pyx_getprop___pyx_memoryview_T, 0, (char *)0, 0},
+  {(char *)"base", __pyx_getprop___pyx_memoryview_base, 0, (char *)0, 0},
+  {(char *)"shape", __pyx_getprop___pyx_memoryview_shape, 0, (char *)0, 0},
+  {(char *)"strides", __pyx_getprop___pyx_memoryview_strides, 0, (char *)0, 0},
+  {(char *)"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, (char *)0, 0},
+  {(char *)"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, (char *)0, 0},
+  {(char *)"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, (char *)0, 0},
+  {(char *)"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, (char *)0, 0},
+  {(char *)"size", __pyx_getprop___pyx_memoryview_size, 0, (char *)0, 0},
+  {0, 0, 0, 0, 0}
+};
+
+static PySequenceMethods __pyx_tp_as_sequence_memoryview = {
+  __pyx_memoryview___len__, /*sq_length*/
+  0, /*sq_concat*/
+  0, /*sq_repeat*/
+  __pyx_sq_item_memoryview, /*sq_item*/
+  0, /*sq_slice*/
+  0, /*sq_ass_item*/
+  0, /*sq_ass_slice*/
+  0, /*sq_contains*/
+  0, /*sq_inplace_concat*/
+  0, /*sq_inplace_repeat*/
+};
+
+static PyMappingMethods __pyx_tp_as_mapping_memoryview = {
+  __pyx_memoryview___len__, /*mp_length*/
+  __pyx_memoryview___getitem__, /*mp_subscript*/
+  __pyx_mp_ass_subscript_memoryview, /*mp_ass_subscript*/
+};
+
+static PyBufferProcs __pyx_tp_as_buffer_memoryview = {
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getreadbuffer*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getwritebuffer*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getsegcount*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getcharbuffer*/
+  #endif
+  __pyx_memoryview_getbuffer, /*bf_getbuffer*/
+  0, /*bf_releasebuffer*/
+};
+
+static PyTypeObject __pyx_type___pyx_memoryview = {
+  PyVarObject_HEAD_INIT(0, 0)
+  "fxpcs_sparse.memoryview", /*tp_name*/
+  sizeof(struct __pyx_memoryview_obj), /*tp_basicsize*/
+  0, /*tp_itemsize*/
+  __pyx_tp_dealloc_memoryview, /*tp_dealloc*/
+  #if PY_VERSION_HEX < 0x030800b4
+  0, /*tp_print*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4
+  0, /*tp_vectorcall_offset*/
+  #endif
+  0, /*tp_getattr*/
+  0, /*tp_setattr*/
+  #if PY_MAJOR_VERSION < 3
+  0, /*tp_compare*/
+  #endif
+  #if PY_MAJOR_VERSION >= 3
+  0, /*tp_as_async*/
+  #endif
+  __pyx_memoryview___repr__, /*tp_repr*/
+  0, /*tp_as_number*/
+  &__pyx_tp_as_sequence_memoryview, /*tp_as_sequence*/
+  &__pyx_tp_as_mapping_memoryview, /*tp_as_mapping*/
+  0, /*tp_hash*/
+  0, /*tp_call*/
+  __pyx_memoryview___str__, /*tp_str*/
+  0, /*tp_getattro*/
+  0, /*tp_setattro*/
+  &__pyx_tp_as_buffer_memoryview, /*tp_as_buffer*/
+  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
+  0, /*tp_doc*/
+  __pyx_tp_traverse_memoryview, /*tp_traverse*/
+  __pyx_tp_clear_memoryview, /*tp_clear*/
+  0, /*tp_richcompare*/
+  0, /*tp_weaklistoffset*/
+  0, /*tp_iter*/
+  0, /*tp_iternext*/
+  __pyx_methods_memoryview, /*tp_methods*/
+  0, /*tp_members*/
+  __pyx_getsets_memoryview, /*tp_getset*/
+  0, /*tp_base*/
+  0, /*tp_dict*/
+  0, /*tp_descr_get*/
+  0, /*tp_descr_set*/
+  0, /*tp_dictoffset*/
+  0, /*tp_init*/
+  0, /*tp_alloc*/
+  __pyx_tp_new_memoryview, /*tp_new*/
+  0, /*tp_free*/
+  0, /*tp_is_gc*/
+  0, /*tp_bases*/
+  0, /*tp_mro*/
+  0, /*tp_cache*/
+  0, /*tp_subclasses*/
+  0, /*tp_weaklist*/
+  0, /*tp_del*/
+  0, /*tp_version_tag*/
+  #if PY_VERSION_HEX >= 0x030400a1
+  0, /*tp_finalize*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b1
+  0, /*tp_vectorcall*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
+  0, /*tp_print*/
+  #endif
+};
+static struct __pyx_vtabstruct__memoryviewslice __pyx_vtable__memoryviewslice;
+
+static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k) {
+  struct __pyx_memoryviewslice_obj *p;
+  PyObject *o = __pyx_tp_new_memoryview(t, a, k);
+  if (unlikely(!o)) return 0;
+  p = ((struct __pyx_memoryviewslice_obj *)o);
+  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_memoryview*)__pyx_vtabptr__memoryviewslice;
+  p->from_object = Py_None; Py_INCREF(Py_None);
+  p->from_slice.memview = NULL;
+  return o;
+}
+
+static void __pyx_tp_dealloc__memoryviewslice(PyObject *o) {
+  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
+  #if CYTHON_USE_TP_FINALIZE
+  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
+    if (PyObject_CallFinalizerFromDealloc(o)) return;
+  }
+  #endif
+  PyObject_GC_UnTrack(o);
+  {
+    PyObject *etype, *eval, *etb;
+    PyErr_Fetch(&etype, &eval, &etb);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
+    __pyx_memoryviewslice___dealloc__(o);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
+    PyErr_Restore(etype, eval, etb);
+  }
+  Py_CLEAR(p->from_object);
+  PyObject_GC_Track(o);
+  __pyx_tp_dealloc_memoryview(o);
+}
+
+static int __pyx_tp_traverse__memoryviewslice(PyObject *o, visitproc v, void *a) {
+  int e;
+  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
+  e = __pyx_tp_traverse_memoryview(o, v, a); if (e) return e;
+  if (p->from_object) {
+    e = (*v)(p->from_object, a); if (e) return e;
+  }
+  return 0;
+}
+
+static int __pyx_tp_clear__memoryviewslice(PyObject *o) {
+  PyObject* tmp;
+  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
+  __pyx_tp_clear_memoryview(o);
+  tmp = ((PyObject*)p->from_object);
+  p->from_object = Py_None; Py_INCREF(Py_None);
+  Py_XDECREF(tmp);
+  __PYX_XDEC_MEMVIEW(&p->from_slice, 1);
+  return 0;
+}
+
+static PyObject *__pyx_getprop___pyx_memoryviewslice_base(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_16_memoryviewslice_4base_1__get__(o);
+}
+
+static PyMethodDef __pyx_methods__memoryviewslice[] = {
+  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_1__reduce_cython__, METH_NOARGS, 0},
+  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_3__setstate_cython__, METH_O, 0},
+  {0, 0, 0, 0}
+};
+
+static struct PyGetSetDef __pyx_getsets__memoryviewslice[] = {
+  {(char *)"base", __pyx_getprop___pyx_memoryviewslice_base, 0, (char *)0, 0},
+  {0, 0, 0, 0, 0}
+};
+
+static PyTypeObject __pyx_type___pyx_memoryviewslice = {
+  PyVarObject_HEAD_INIT(0, 0)
+  "fxpcs_sparse._memoryviewslice", /*tp_name*/
+  sizeof(struct __pyx_memoryviewslice_obj), /*tp_basicsize*/
+  0, /*tp_itemsize*/
+  __pyx_tp_dealloc__memoryviewslice, /*tp_dealloc*/
+  #if PY_VERSION_HEX < 0x030800b4
+  0, /*tp_print*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4
+  0, /*tp_vectorcall_offset*/
+  #endif
+  0, /*tp_getattr*/
+  0, /*tp_setattr*/
+  #if PY_MAJOR_VERSION < 3
+  0, /*tp_compare*/
+  #endif
+  #if PY_MAJOR_VERSION >= 3
+  0, /*tp_as_async*/
+  #endif
+  #if CYTHON_COMPILING_IN_PYPY
+  __pyx_memoryview___repr__, /*tp_repr*/
+  #else
+  0, /*tp_repr*/
+  #endif
+  0, /*tp_as_number*/
+  0, /*tp_as_sequence*/
+  0, /*tp_as_mapping*/
+  0, /*tp_hash*/
+  0, /*tp_call*/
+  #if CYTHON_COMPILING_IN_PYPY
+  __pyx_memoryview___str__, /*tp_str*/
+  #else
+  0, /*tp_str*/
+  #endif
+  0, /*tp_getattro*/
+  0, /*tp_setattro*/
+  0, /*tp_as_buffer*/
+  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
+  "Internal class for passing memoryview slices to Python", /*tp_doc*/
+  __pyx_tp_traverse__memoryviewslice, /*tp_traverse*/
+  __pyx_tp_clear__memoryviewslice, /*tp_clear*/
+  0, /*tp_richcompare*/
+  0, /*tp_weaklistoffset*/
+  0, /*tp_iter*/
+  0, /*tp_iternext*/
+  __pyx_methods__memoryviewslice, /*tp_methods*/
+  0, /*tp_members*/
+  __pyx_getsets__memoryviewslice, /*tp_getset*/
+  0, /*tp_base*/
+  0, /*tp_dict*/
+  0, /*tp_descr_get*/
+  0, /*tp_descr_set*/
+  0, /*tp_dictoffset*/
+  0, /*tp_init*/
+  0, /*tp_alloc*/
+  __pyx_tp_new__memoryviewslice, /*tp_new*/
+  0, /*tp_free*/
+  0, /*tp_is_gc*/
+  0, /*tp_bases*/
+  0, /*tp_mro*/
+  0, /*tp_cache*/
+  0, /*tp_subclasses*/
+  0, /*tp_weaklist*/
+  0, /*tp_del*/
+  0, /*tp_version_tag*/
+  #if PY_VERSION_HEX >= 0x030400a1
+  0, /*tp_finalize*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b1
+  0, /*tp_vectorcall*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
+  0, /*tp_print*/
+  #endif
+};
+
+static PyMethodDef __pyx_methods[] = {
+  {0, 0, 0, 0}
+};
+
+#if PY_MAJOR_VERSION >= 3
+#if CYTHON_PEP489_MULTI_PHASE_INIT
+static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def); /*proto*/
+static int __pyx_pymod_exec_fxpcs_sparse(PyObject* module); /*proto*/
+static PyModuleDef_Slot __pyx_moduledef_slots[] = {
+  {Py_mod_create, (void*)__pyx_pymod_create},
+  {Py_mod_exec, (void*)__pyx_pymod_exec_fxpcs_sparse},
+  {0, NULL}
+};
+#endif
+
+static struct PyModuleDef __pyx_moduledef = {
+    PyModuleDef_HEAD_INIT,
+    "fxpcs_sparse",
+    0, /* m_doc */
+  #if CYTHON_PEP489_MULTI_PHASE_INIT
+    0, /* m_size */
+  #else
+    -1, /* m_size */
+  #endif
+    __pyx_methods /* m_methods */,
+  #if CYTHON_PEP489_MULTI_PHASE_INIT
+    __pyx_moduledef_slots, /* m_slots */
+  #else
+    NULL, /* m_reload */
+  #endif
+    NULL, /* m_traverse */
+    NULL, /* m_clear */
+    NULL /* m_free */
+};
+#endif
+#ifndef CYTHON_SMALL_CODE
+#if defined(__clang__)
+    #define CYTHON_SMALL_CODE
+#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
+    #define CYTHON_SMALL_CODE __attribute__((cold))
+#else
+    #define CYTHON_SMALL_CODE
+#endif
+#endif
+
+static __Pyx_StringTabEntry __pyx_string_tab[] = {
+  {&__pyx_n_s_A, __pyx_k_A, sizeof(__pyx_k_A), 0, 0, 1, 1},
+  {&__pyx_n_s_ASCII, __pyx_k_ASCII, sizeof(__pyx_k_ASCII), 0, 0, 1, 1},
+  {&__pyx_kp_s_Buffer_view_does_not_expose_stri, __pyx_k_Buffer_view_does_not_expose_stri, sizeof(__pyx_k_Buffer_view_does_not_expose_stri), 0, 0, 1, 0},
+  {&__pyx_kp_s_Can_only_create_a_buffer_that_is, __pyx_k_Can_only_create_a_buffer_that_is, sizeof(__pyx_k_Can_only_create_a_buffer_that_is), 0, 0, 1, 0},
+  {&__pyx_kp_s_Cannot_assign_to_read_only_memor, __pyx_k_Cannot_assign_to_read_only_memor, sizeof(__pyx_k_Cannot_assign_to_read_only_memor), 0, 0, 1, 0},
+  {&__pyx_kp_s_Cannot_create_writable_memory_vi, __pyx_k_Cannot_create_writable_memory_vi, sizeof(__pyx_k_Cannot_create_writable_memory_vi), 0, 0, 1, 0},
+  {&__pyx_kp_s_Cannot_index_with_type_s, __pyx_k_Cannot_index_with_type_s, sizeof(__pyx_k_Cannot_index_with_type_s), 0, 0, 1, 0},
+  {&__pyx_n_s_Ellipsis, __pyx_k_Ellipsis, sizeof(__pyx_k_Ellipsis), 0, 0, 1, 1},
+  {&__pyx_kp_s_Empty_shape_tuple_for_cython_arr, __pyx_k_Empty_shape_tuple_for_cython_arr, sizeof(__pyx_k_Empty_shape_tuple_for_cython_arr), 0, 0, 1, 0},
+  {&__pyx_kp_s_Incompatible_checksums_s_vs_0xb0, __pyx_k_Incompatible_checksums_s_vs_0xb0, sizeof(__pyx_k_Incompatible_checksums_s_vs_0xb0), 0, 0, 1, 0},
+  {&__pyx_n_s_IndexError, __pyx_k_IndexError, sizeof(__pyx_k_IndexError), 0, 0, 1, 1},
+  {&__pyx_kp_s_Indirect_dimensions_not_supporte, __pyx_k_Indirect_dimensions_not_supporte, sizeof(__pyx_k_Indirect_dimensions_not_supporte), 0, 0, 1, 0},
+  {&__pyx_kp_s_Invalid_mode_expected_c_or_fortr, __pyx_k_Invalid_mode_expected_c_or_fortr, sizeof(__pyx_k_Invalid_mode_expected_c_or_fortr), 0, 0, 1, 0},
+  {&__pyx_kp_s_Invalid_shape_in_axis_d_d, __pyx_k_Invalid_shape_in_axis_d_d, sizeof(__pyx_k_Invalid_shape_in_axis_d_d), 0, 0, 1, 0},
+  {&__pyx_n_s_MemoryError, __pyx_k_MemoryError, sizeof(__pyx_k_MemoryError), 0, 0, 1, 1},
+  {&__pyx_kp_s_MemoryView_of_r_at_0x_x, __pyx_k_MemoryView_of_r_at_0x_x, sizeof(__pyx_k_MemoryView_of_r_at_0x_x), 0, 0, 1, 0},
+  {&__pyx_kp_s_MemoryView_of_r_object, __pyx_k_MemoryView_of_r_object, sizeof(__pyx_k_MemoryView_of_r_object), 0, 0, 1, 0},
+  {&__pyx_n_b_O, __pyx_k_O, sizeof(__pyx_k_O), 0, 0, 0, 1},
+  {&__pyx_kp_s_Out_of_bounds_on_buffer_access_a, __pyx_k_Out_of_bounds_on_buffer_access_a, sizeof(__pyx_k_Out_of_bounds_on_buffer_access_a), 0, 0, 1, 0},
+  {&__pyx_n_s_PickleError, __pyx_k_PickleError, sizeof(__pyx_k_PickleError), 0, 0, 1, 1},
+  {&__pyx_n_s_TypeError, __pyx_k_TypeError, sizeof(__pyx_k_TypeError), 0, 0, 1, 1},
+  {&__pyx_kp_s_Unable_to_convert_item_to_object, __pyx_k_Unable_to_convert_item_to_object, sizeof(__pyx_k_Unable_to_convert_item_to_object), 0, 0, 1, 0},
+  {&__pyx_n_s_ValueError, __pyx_k_ValueError, sizeof(__pyx_k_ValueError), 0, 0, 1, 1},
+  {&__pyx_n_s_View_MemoryView, __pyx_k_View_MemoryView, sizeof(__pyx_k_View_MemoryView), 0, 0, 1, 1},
+  {&__pyx_n_s_a, __pyx_k_a, sizeof(__pyx_k_a), 0, 0, 1, 1},
+  {&__pyx_n_s_allocate_buffer, __pyx_k_allocate_buffer, sizeof(__pyx_k_allocate_buffer), 0, 0, 1, 1},
+  {&__pyx_n_s_any, __pyx_k_any, sizeof(__pyx_k_any), 0, 0, 1, 1},
+  {&__pyx_n_s_argmax, __pyx_k_argmax, sizeof(__pyx_k_argmax), 0, 0, 1, 1},
+  {&__pyx_n_s_asarray, __pyx_k_asarray, sizeof(__pyx_k_asarray), 0, 0, 1, 1},
+  {&__pyx_n_s_astype, __pyx_k_astype, sizeof(__pyx_k_astype), 0, 0, 1, 1},
+  {&__pyx_n_s_avg, __pyx_k_avg, sizeof(__pyx_k_avg), 0, 0, 1, 1},
+  {&__pyx_n_s_axis, __pyx_k_axis, sizeof(__pyx_k_axis), 0, 0, 1, 1},
+  {&__pyx_n_s_b, __pyx_k_b, sizeof(__pyx_k_b), 0, 0, 1, 1},
+  {&__pyx_n_s_base, __pyx_k_base, sizeof(__pyx_k_base), 0, 0, 1, 1},
+  {&__pyx_n_s_c, __pyx_k_c, sizeof(__pyx_k_c), 0, 0, 1, 1},
+  {&__pyx_n_u_c, __pyx_k_c, sizeof(__pyx_k_c), 0, 1, 0, 1},
+  {&__pyx_n_s_cell, __pyx_k_cell, sizeof(__pyx_k_cell), 0, 0, 1, 1},
+  {&__pyx_n_s_class, __pyx_k_class, sizeof(__pyx_k_class), 0, 0, 1, 1},
+  {&__pyx_n_s_cline_in_traceback, __pyx_k_cline_in_traceback, sizeof(__pyx_k_cline_in_traceback), 0, 0, 1, 1},
+  {&__pyx_n_s_col, __pyx_k_col, sizeof(__pyx_k_col), 0, 0, 1, 1},
+  {&__pyx_n_s_col1, __pyx_k_col1, sizeof(__pyx_k_col1), 0, 0, 1, 1},
+  {&__pyx_n_s_col2, __pyx_k_col2, sizeof(__pyx_k_col2), 0, 0, 1, 1},
+  {&__pyx_n_s_cond, __pyx_k_cond, sizeof(__pyx_k_cond), 0, 0, 1, 1},
+  {&__pyx_kp_s_contiguous_and_direct, __pyx_k_contiguous_and_direct, sizeof(__pyx_k_contiguous_and_direct), 0, 0, 1, 0},
+  {&__pyx_kp_s_contiguous_and_indirect, __pyx_k_contiguous_and_indirect, sizeof(__pyx_k_contiguous_and_indirect), 0, 0, 1, 0},
+  {&__pyx_n_s_data, __pyx_k_data, sizeof(__pyx_k_data), 0, 0, 1, 1},
+  {&__pyx_n_s_densify, __pyx_k_densify, sizeof(__pyx_k_densify), 0, 0, 1, 1},
+  {&__pyx_n_s_dict, __pyx_k_dict, sizeof(__pyx_k_dict), 0, 0, 1, 1},
+  {&__pyx_n_s_dim, __pyx_k_dim, sizeof(__pyx_k_dim), 0, 0, 1, 1},
+  {&__pyx_n_s_dtype, __pyx_k_dtype, sizeof(__pyx_k_dtype), 0, 0, 1, 1},
+  {&__pyx_n_s_dtype_is_object, __pyx_k_dtype_is_object, sizeof(__pyx_k_dtype_is_object), 0, 0, 1, 1},
+  {&__pyx_n_s_elem, __pyx_k_elem, sizeof(__pyx_k_elem), 0, 0, 1, 1},
+  {&__pyx_n_s_encode, __pyx_k_encode, sizeof(__pyx_k_encode), 0, 0, 1, 1},
+  {&__pyx_n_s_enumerate, __pyx_k_enumerate, sizeof(__pyx_k_enumerate), 0, 0, 1, 1},
+  {&__pyx_n_s_error, __pyx_k_error, sizeof(__pyx_k_error), 0, 0, 1, 1},
+  {&__pyx_kp_s_fastXPCS_cython_fxpcs_sparse_pyx, __pyx_k_fastXPCS_cython_fxpcs_sparse_pyx, sizeof(__pyx_k_fastXPCS_cython_fxpcs_sparse_pyx), 0, 0, 1, 0},
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+ * cdef int __pyx_memoryview_thread_locks_used = 0
+ * cdef PyThread_type_lock[THREAD_LOCKS_PREALLOCATED] __pyx_memoryview_thread_locks = [             # <<<<<<<<<<<<<<
+ *     PyThread_allocate_lock(),
+ *     PyThread_allocate_lock(),
+ */
+  __pyx_t_2[0] = PyThread_allocate_lock();
+  __pyx_t_2[1] = PyThread_allocate_lock();
+  __pyx_t_2[2] = PyThread_allocate_lock();
+  __pyx_t_2[3] = PyThread_allocate_lock();
+  __pyx_t_2[4] = PyThread_allocate_lock();
+  __pyx_t_2[5] = PyThread_allocate_lock();
+  __pyx_t_2[6] = PyThread_allocate_lock();
+  __pyx_t_2[7] = PyThread_allocate_lock();
+  memcpy(&(__pyx_memoryview_thread_locks[0]), __pyx_t_2, sizeof(__pyx_memoryview_thread_locks[0]) * (8));
+
+  /* "View.MemoryView":549
+ *         info.obj = self
+ * 
+ *     __pyx_getbuffer = capsule(<void *> &__pyx_memoryview_getbuffer, "getbuffer(obj, view, flags)")             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  __pyx_t_1 = __pyx_capsule_create(((void *)(&__pyx_memoryview_getbuffer)), ((char *)"getbuffer(obj, view, flags)")); if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 549, __pyx_L1_error)
+  __Pyx_GOTREF(__pyx_t_1);
+  if (PyDict_SetItem((PyObject *)__pyx_memoryview_type->tp_dict, __pyx_n_s_pyx_getbuffer, __pyx_t_1) < 0) __PYX_ERR(1, 549, __pyx_L1_error)
+  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
+  PyType_Modified(__pyx_memoryview_type);
+
+  /* "View.MemoryView":995
+ *         return self.from_object
+ * 
+ *     __pyx_getbuffer = capsule(<void *> &__pyx_memoryview_getbuffer, "getbuffer(obj, view, flags)")             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  __pyx_t_1 = __pyx_capsule_create(((void *)(&__pyx_memoryview_getbuffer)), ((char *)"getbuffer(obj, view, flags)")); if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 995, __pyx_L1_error)
+  __Pyx_GOTREF(__pyx_t_1);
+  if (PyDict_SetItem((PyObject *)__pyx_memoryviewslice_type->tp_dict, __pyx_n_s_pyx_getbuffer, __pyx_t_1) < 0) __PYX_ERR(1, 995, __pyx_L1_error)
+  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
+  PyType_Modified(__pyx_memoryviewslice_type);
+
+  /* "(tree fragment)":1
+ * def __pyx_unpickle_Enum(__pyx_type, long __pyx_checksum, __pyx_state):             # <<<<<<<<<<<<<<
+ *     cdef object __pyx_PickleError
+ *     cdef object __pyx_result
+ */
+  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_15View_dot_MemoryView_1__pyx_unpickle_Enum, NULL, __pyx_n_s_View_MemoryView); if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 1, __pyx_L1_error)
+  __Pyx_GOTREF(__pyx_t_1);
+  if (PyDict_SetItem(__pyx_d, __pyx_n_s_pyx_unpickle_Enum, __pyx_t_1) < 0) __PYX_ERR(1, 1, __pyx_L1_error)
+  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
+
+  /* "(tree fragment)":11
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+ *     return __pyx_result
+ * cdef __pyx_unpickle_Enum__set_state(Enum __pyx_result, tuple __pyx_state):             # <<<<<<<<<<<<<<
+ *     __pyx_result.name = __pyx_state[0]
+ *     if len(__pyx_state) > 1 and hasattr(__pyx_result, '__dict__'):
+ */
+
+  /*--- Wrapped vars code ---*/
+
+  goto __pyx_L0;
+  __pyx_L1_error:;
+  __Pyx_XDECREF(__pyx_t_1);
+  if (__pyx_m) {
+    if (__pyx_d) {
+      __Pyx_AddTraceback("init fxpcs_sparse", __pyx_clineno, __pyx_lineno, __pyx_filename);
+    }
+    Py_CLEAR(__pyx_m);
+  } else if (!PyErr_Occurred()) {
+    PyErr_SetString(PyExc_ImportError, "init fxpcs_sparse");
+  }
+  __pyx_L0:;
+  __Pyx_RefNannyFinishContext();
+  #if CYTHON_PEP489_MULTI_PHASE_INIT
+  return (__pyx_m != NULL) ? 0 : -1;
+  #elif PY_MAJOR_VERSION >= 3
+  return __pyx_m;
+  #else
+  return;
+  #endif
+}
+
+/* --- Runtime support code --- */
+/* Refnanny */
+#if CYTHON_REFNANNY
+static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
+    PyObject *m = NULL, *p = NULL;
+    void *r = NULL;
+    m = PyImport_ImportModule(modname);
+    if (!m) goto end;
+    p = PyObject_GetAttrString(m, "RefNannyAPI");
+    if (!p) goto end;
+    r = PyLong_AsVoidPtr(p);
+end:
+    Py_XDECREF(p);
+    Py_XDECREF(m);
+    return (__Pyx_RefNannyAPIStruct *)r;
+}
+#endif
+
+/* PyObjectGetAttrStr */
+#if CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
+    PyTypeObject* tp = Py_TYPE(obj);
+    if (likely(tp->tp_getattro))
+        return tp->tp_getattro(obj, attr_name);
+#if PY_MAJOR_VERSION < 3
+    if (likely(tp->tp_getattr))
+        return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
+#endif
+    return PyObject_GetAttr(obj, attr_name);
+}
+#endif
+
+/* GetBuiltinName */
+static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
+    PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
+    if (unlikely(!result)) {
+        PyErr_Format(PyExc_NameError,
+#if PY_MAJOR_VERSION >= 3
+            "name '%U' is not defined", name);
+#else
+            "name '%.200s' is not defined", PyString_AS_STRING(name));
+#endif
+    }
+    return result;
+}
+
+/* PyDictVersioning */
+#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
+    PyObject *dict = Py_TYPE(obj)->tp_dict;
+    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
+}
+static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
+    PyObject **dictptr = NULL;
+    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
+    if (offset) {
+#if CYTHON_COMPILING_IN_CPYTHON
+        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
+#else
+        dictptr = _PyObject_GetDictPtr(obj);
+#endif
+    }
+    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
+}
+static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
+    PyObject *dict = Py_TYPE(obj)->tp_dict;
+    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
+        return 0;
+    return obj_dict_version == __Pyx_get_object_dict_version(obj);
+}
+#endif
+
+/* GetModuleGlobalName */
+#if CYTHON_USE_DICT_VERSIONS
+static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
+#else
+static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
+#endif
+{
+    PyObject *result;
+#if !CYTHON_AVOID_BORROWED_REFS
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
+    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
+    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
+    if (likely(result)) {
+        return __Pyx_NewRef(result);
+    } else if (unlikely(PyErr_Occurred())) {
+        return NULL;
+    }
+#else
+    result = PyDict_GetItem(__pyx_d, name);
+    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
+    if (likely(result)) {
+        return __Pyx_NewRef(result);
+    }
+#endif
+#else
+    result = PyObject_GetItem(__pyx_d, name);
+    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
+    if (likely(result)) {
+        return __Pyx_NewRef(result);
+    }
+    PyErr_Clear();
+#endif
+    return __Pyx_GetBuiltinName(name);
+}
+
+/* PyObjectCall */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
+    PyObject *result;
+    ternaryfunc call = Py_TYPE(func)->tp_call;
+    if (unlikely(!call))
+        return PyObject_Call(func, arg, kw);
+    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
+        return NULL;
+    result = (*call)(func, arg, kw);
+    Py_LeaveRecursiveCall();
+    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
+        PyErr_SetString(
+            PyExc_SystemError,
+            "NULL result without error in PyObject_Call");
+    }
+    return result;
+}
+#endif
+
+/* MemviewSliceInit */
+static int
+__Pyx_init_memviewslice(struct __pyx_memoryview_obj *memview,
+                        int ndim,
+                        __Pyx_memviewslice *memviewslice,
+                        int memview_is_new_reference)
+{
+    __Pyx_RefNannyDeclarations
+    int i, retval=-1;
+    Py_buffer *buf = &memview->view;
+    __Pyx_RefNannySetupContext("init_memviewslice", 0);
+    if (unlikely(memviewslice->memview || memviewslice->data)) {
+        PyErr_SetString(PyExc_ValueError,
+            "memviewslice is already initialized!");
+        goto fail;
+    }
+    if (buf->strides) {
+        for (i = 0; i < ndim; i++) {
+            memviewslice->strides[i] = buf->strides[i];
+        }
+    } else {
+        Py_ssize_t stride = buf->itemsize;
+        for (i = ndim - 1; i >= 0; i--) {
+            memviewslice->strides[i] = stride;
+            stride *= buf->shape[i];
+        }
+    }
+    for (i = 0; i < ndim; i++) {
+        memviewslice->shape[i]   = buf->shape[i];
+        if (buf->suboffsets) {
+            memviewslice->suboffsets[i] = buf->suboffsets[i];
+        } else {
+            memviewslice->suboffsets[i] = -1;
+        }
+    }
+    memviewslice->memview = memview;
+    memviewslice->data = (char *)buf->buf;
+    if (__pyx_add_acquisition_count(memview) == 0 && !memview_is_new_reference) {
+        Py_INCREF(memview);
+    }
+    retval = 0;
+    goto no_fail;
+fail:
+    memviewslice->memview = 0;
+    memviewslice->data = 0;
+    retval = -1;
+no_fail:
+    __Pyx_RefNannyFinishContext();
+    return retval;
+}
+#ifndef Py_NO_RETURN
+#define Py_NO_RETURN
+#endif
+static void __pyx_fatalerror(const char *fmt, ...) Py_NO_RETURN {
+    va_list vargs;
+    char msg[200];
+#ifdef HAVE_STDARG_PROTOTYPES
+    va_start(vargs, fmt);
+#else
+    va_start(vargs);
+#endif
+    vsnprintf(msg, 200, fmt, vargs);
+    va_end(vargs);
+    Py_FatalError(msg);
+}
+static CYTHON_INLINE int
+__pyx_add_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
+                                   PyThread_type_lock lock)
+{
+    int result;
+    PyThread_acquire_lock(lock, 1);
+    result = (*acquisition_count)++;
+    PyThread_release_lock(lock);
+    return result;
+}
+static CYTHON_INLINE int
+__pyx_sub_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
+                                   PyThread_type_lock lock)
+{
+    int result;
+    PyThread_acquire_lock(lock, 1);
+    result = (*acquisition_count)--;
+    PyThread_release_lock(lock);
+    return result;
+}
+static CYTHON_INLINE void
+__Pyx_INC_MEMVIEW(__Pyx_memviewslice *memslice, int have_gil, int lineno)
+{
+    int first_time;
+    struct __pyx_memoryview_obj *memview = memslice->memview;
+    if (unlikely(!memview || (PyObject *) memview == Py_None))
+        return;
+    if (unlikely(__pyx_get_slice_count(memview) < 0))
+        __pyx_fatalerror("Acquisition count is %d (line %d)",
+                         __pyx_get_slice_count(memview), lineno);
+    first_time = __pyx_add_acquisition_count(memview) == 0;
+    if (unlikely(first_time)) {
+        if (have_gil) {
+            Py_INCREF((PyObject *) memview);
+        } else {
+            PyGILState_STATE _gilstate = PyGILState_Ensure();
+            Py_INCREF((PyObject *) memview);
+            PyGILState_Release(_gilstate);
+        }
+    }
+}
+static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *memslice,
+                                             int have_gil, int lineno) {
+    int last_time;
+    struct __pyx_memoryview_obj *memview = memslice->memview;
+    if (unlikely(!memview || (PyObject *) memview == Py_None)) {
+        memslice->memview = NULL;
+        return;
+    }
+    if (unlikely(__pyx_get_slice_count(memview) <= 0))
+        __pyx_fatalerror("Acquisition count is %d (line %d)",
+                         __pyx_get_slice_count(memview), lineno);
+    last_time = __pyx_sub_acquisition_count(memview) == 1;
+    memslice->data = NULL;
+    if (unlikely(last_time)) {
+        if (have_gil) {
+            Py_CLEAR(memslice->memview);
+        } else {
+            PyGILState_STATE _gilstate = PyGILState_Ensure();
+            Py_CLEAR(memslice->memview);
+            PyGILState_Release(_gilstate);
+        }
+    } else {
+        memslice->memview = NULL;
+    }
+}
+
+/* RaiseArgTupleInvalid */
+static void __Pyx_RaiseArgtupleInvalid(
+    const char* func_name,
+    int exact,
+    Py_ssize_t num_min,
+    Py_ssize_t num_max,
+    Py_ssize_t num_found)
+{
+    Py_ssize_t num_expected;
+    const char *more_or_less;
+    if (num_found < num_min) {
+        num_expected = num_min;
+        more_or_less = "at least";
+    } else {
+        num_expected = num_max;
+        more_or_less = "at most";
+    }
+    if (exact) {
+        more_or_less = "exactly";
+    }
+    PyErr_Format(PyExc_TypeError,
+                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
+                 func_name, more_or_less, num_expected,
+                 (num_expected == 1) ? "" : "s", num_found);
+}
+
+/* RaiseDoubleKeywords */
+static void __Pyx_RaiseDoubleKeywordsError(
+    const char* func_name,
+    PyObject* kw_name)
+{
+    PyErr_Format(PyExc_TypeError,
+        #if PY_MAJOR_VERSION >= 3
+        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
+        #else
+        "%s() got multiple values for keyword argument '%s'", func_name,
+        PyString_AsString(kw_name));
+        #endif
+}
+
+/* ParseKeywords */
+static int __Pyx_ParseOptionalKeywords(
+    PyObject *kwds,
+    PyObject **argnames[],
+    PyObject *kwds2,
+    PyObject *values[],
+    Py_ssize_t num_pos_args,
+    const char* function_name)
+{
+    PyObject *key = 0, *value = 0;
+    Py_ssize_t pos = 0;
+    PyObject*** name;
+    PyObject*** first_kw_arg = argnames + num_pos_args;
+    while (PyDict_Next(kwds, &pos, &key, &value)) {
+        name = first_kw_arg;
+        while (*name && (**name != key)) name++;
+        if (*name) {
+            values[name-argnames] = value;
+            continue;
+        }
+        name = first_kw_arg;
+        #if PY_MAJOR_VERSION < 3
+        if (likely(PyString_Check(key))) {
+            while (*name) {
+                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
+                        && _PyString_Eq(**name, key)) {
+                    values[name-argnames] = value;
+                    break;
+                }
+                name++;
+            }
+            if (*name) continue;
+            else {
+                PyObject*** argname = argnames;
+                while (argname != first_kw_arg) {
+                    if ((**argname == key) || (
+                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
+                             && _PyString_Eq(**argname, key))) {
+                        goto arg_passed_twice;
+                    }
+                    argname++;
+                }
+            }
+        } else
+        #endif
+        if (likely(PyUnicode_Check(key))) {
+            while (*name) {
+                int cmp = (**name == key) ? 0 :
+                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
+                    (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
+                #endif
+                    PyUnicode_Compare(**name, key);
+                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
+                if (cmp == 0) {
+                    values[name-argnames] = value;
+                    break;
+                }
+                name++;
+            }
+            if (*name) continue;
+            else {
+                PyObject*** argname = argnames;
+                while (argname != first_kw_arg) {
+                    int cmp = (**argname == key) ? 0 :
+                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
+                        (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
+                    #endif
+                        PyUnicode_Compare(**argname, key);
+                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
+                    if (cmp == 0) goto arg_passed_twice;
+                    argname++;
+                }
+            }
+        } else
+            goto invalid_keyword_type;
+        if (kwds2) {
+            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
+        } else {
+            goto invalid_keyword;
+        }
+    }
+    return 0;
+arg_passed_twice:
+    __Pyx_RaiseDoubleKeywordsError(function_name, key);
+    goto bad;
+invalid_keyword_type:
+    PyErr_Format(PyExc_TypeError,
+        "%.200s() keywords must be strings", function_name);
+    goto bad;
+invalid_keyword:
+    PyErr_Format(PyExc_TypeError,
+    #if PY_MAJOR_VERSION < 3
+        "%.200s() got an unexpected keyword argument '%.200s'",
+        function_name, PyString_AsString(key));
+    #else
+        "%s() got an unexpected keyword argument '%U'",
+        function_name, key);
+    #endif
+bad:
+    return -1;
+}
+
+/* BufferIndexError */
+static void __Pyx_RaiseBufferIndexError(int axis) {
+  PyErr_Format(PyExc_IndexError,
+     "Out of bounds on buffer access (axis %d)", axis);
+}
+
+/* ArgTypeTest */
+static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
+{
+    if (unlikely(!type)) {
+        PyErr_SetString(PyExc_SystemError, "Missing type object");
+        return 0;
+    }
+    else if (exact) {
+        #if PY_MAJOR_VERSION == 2
+        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
+        #endif
+    }
+    else {
+        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
+    }
+    PyErr_Format(PyExc_TypeError,
+        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
+        name, type->tp_name, Py_TYPE(obj)->tp_name);
+    return 0;
+}
+
+/* PyCFunctionFastCall */
+#if CYTHON_FAST_PYCCALL
+static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
+    PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
+    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
+    PyObject *self = PyCFunction_GET_SELF(func);
+    int flags = PyCFunction_GET_FLAGS(func);
+    assert(PyCFunction_Check(func));
+    assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)));
+    assert(nargs >= 0);
+    assert(nargs == 0 || args != NULL);
+    /* _PyCFunction_FastCallDict() must not be called with an exception set,
+       because it may clear it (directly or indirectly) and so the
+       caller loses its exception */
+    assert(!PyErr_Occurred());
+    if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
+        return (*((__Pyx_PyCFunctionFastWithKeywords)(void*)meth)) (self, args, nargs, NULL);
+    } else {
+        return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs);
+    }
+}
+#endif
+
+/* PyFunctionFastCall */
+#if CYTHON_FAST_PYCALL
+static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
+                                               PyObject *globals) {
+    PyFrameObject *f;
+    PyThreadState *tstate = __Pyx_PyThreadState_Current;
+    PyObject **fastlocals;
+    Py_ssize_t i;
+    PyObject *result;
+    assert(globals != NULL);
+    /* XXX Perhaps we should create a specialized
+       PyFrame_New() that doesn't take locals, but does
+       take builtins without sanity checking them.
+       */
+    assert(tstate != NULL);
+    f = PyFrame_New(tstate, co, globals, NULL);
+    if (f == NULL) {
+        return NULL;
+    }
+    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
+    for (i = 0; i < na; i++) {
+        Py_INCREF(*args);
+        fastlocals[i] = *args++;
+    }
+    result = PyEval_EvalFrameEx(f,0);
+    ++tstate->recursion_depth;
+    Py_DECREF(f);
+    --tstate->recursion_depth;
+    return result;
+}
+#if 1 || PY_VERSION_HEX < 0x030600B1
+static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
+    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
+    PyObject *globals = PyFunction_GET_GLOBALS(func);
+    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
+    PyObject *closure;
+#if PY_MAJOR_VERSION >= 3
+    PyObject *kwdefs;
+#endif
+    PyObject *kwtuple, **k;
+    PyObject **d;
+    Py_ssize_t nd;
+    Py_ssize_t nk;
+    PyObject *result;
+    assert(kwargs == NULL || PyDict_Check(kwargs));
+    nk = kwargs ? PyDict_Size(kwargs) : 0;
+    if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
+        return NULL;
+    }
+    if (
+#if PY_MAJOR_VERSION >= 3
+            co->co_kwonlyargcount == 0 &&
+#endif
+            likely(kwargs == NULL || nk == 0) &&
+            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
+        if (argdefs == NULL && co->co_argcount == nargs) {
+            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
+            goto done;
+        }
+        else if (nargs == 0 && argdefs != NULL
+                 && co->co_argcount == Py_SIZE(argdefs)) {
+            /* function called with no arguments, but all parameters have
+               a default value: use default values as arguments .*/
+            args = &PyTuple_GET_ITEM(argdefs, 0);
+            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
+            goto done;
+        }
+    }
+    if (kwargs != NULL) {
+        Py_ssize_t pos, i;
+        kwtuple = PyTuple_New(2 * nk);
+        if (kwtuple == NULL) {
+            result = NULL;
+            goto done;
+        }
+        k = &PyTuple_GET_ITEM(kwtuple, 0);
+        pos = i = 0;
+        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
+            Py_INCREF(k[i]);
+            Py_INCREF(k[i+1]);
+            i += 2;
+        }
+        nk = i / 2;
+    }
+    else {
+        kwtuple = NULL;
+        k = NULL;
+    }
+    closure = PyFunction_GET_CLOSURE(func);
+#if PY_MAJOR_VERSION >= 3
+    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
+#endif
+    if (argdefs != NULL) {
+        d = &PyTuple_GET_ITEM(argdefs, 0);
+        nd = Py_SIZE(argdefs);
+    }
+    else {
+        d = NULL;
+        nd = 0;
+    }
+#if PY_MAJOR_VERSION >= 3
+    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
+                               args, (int)nargs,
+                               k, (int)nk,
+                               d, (int)nd, kwdefs, closure);
+#else
+    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
+                               args, (int)nargs,
+                               k, (int)nk,
+                               d, (int)nd, closure);
+#endif
+    Py_XDECREF(kwtuple);
+done:
+    Py_LeaveRecursiveCall();
+    return result;
+}
+#endif
+#endif
+
+/* PyObjectCall2Args */
+static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
+    PyObject *args, *result = NULL;
+    #if CYTHON_FAST_PYCALL
+    if (PyFunction_Check(function)) {
+        PyObject *args[2] = {arg1, arg2};
+        return __Pyx_PyFunction_FastCall(function, args, 2);
+    }
+    #endif
+    #if CYTHON_FAST_PYCCALL
+    if (__Pyx_PyFastCFunction_Check(function)) {
+        PyObject *args[2] = {arg1, arg2};
+        return __Pyx_PyCFunction_FastCall(function, args, 2);
+    }
+    #endif
+    args = PyTuple_New(2);
+    if (unlikely(!args)) goto done;
+    Py_INCREF(arg1);
+    PyTuple_SET_ITEM(args, 0, arg1);
+    Py_INCREF(arg2);
+    PyTuple_SET_ITEM(args, 1, arg2);
+    Py_INCREF(function);
+    result = __Pyx_PyObject_Call(function, args, NULL);
+    Py_DECREF(args);
+    Py_DECREF(function);
+done:
+    return result;
+}
+
+/* PyObjectCallMethO */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
+    PyObject *self, *result;
+    PyCFunction cfunc;
+    cfunc = PyCFunction_GET_FUNCTION(func);
+    self = PyCFunction_GET_SELF(func);
+    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
+        return NULL;
+    result = cfunc(self, arg);
+    Py_LeaveRecursiveCall();
+    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
+        PyErr_SetString(
+            PyExc_SystemError,
+            "NULL result without error in PyObject_Call");
+    }
+    return result;
+}
+#endif
+
+/* PyObjectCallOneArg */
+#if CYTHON_COMPILING_IN_CPYTHON
+static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
+    PyObject *result;
+    PyObject *args = PyTuple_New(1);
+    if (unlikely(!args)) return NULL;
+    Py_INCREF(arg);
+    PyTuple_SET_ITEM(args, 0, arg);
+    result = __Pyx_PyObject_Call(func, args, NULL);
+    Py_DECREF(args);
+    return result;
+}
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
+#if CYTHON_FAST_PYCALL
+    if (PyFunction_Check(func)) {
+        return __Pyx_PyFunction_FastCall(func, &arg, 1);
+    }
+#endif
+    if (likely(PyCFunction_Check(func))) {
+        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
+            return __Pyx_PyObject_CallMethO(func, arg);
+#if CYTHON_FAST_PYCCALL
+        } else if (__Pyx_PyFastCFunction_Check(func)) {
+            return __Pyx_PyCFunction_FastCall(func, &arg, 1);
+#endif
+        }
+    }
+    return __Pyx__PyObject_CallOneArg(func, arg);
+}
+#else
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
+    PyObject *result;
+    PyObject *args = PyTuple_Pack(1, arg);
+    if (unlikely(!args)) return NULL;
+    result = __Pyx_PyObject_Call(func, args, NULL);
+    Py_DECREF(args);
+    return result;
+}
+#endif
+
+/* PyObjectCallNoArg */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
+#if CYTHON_FAST_PYCALL
+    if (PyFunction_Check(func)) {
+        return __Pyx_PyFunction_FastCall(func, NULL, 0);
+    }
+#endif
+#ifdef __Pyx_CyFunction_USED
+    if (likely(PyCFunction_Check(func) || __Pyx_CyFunction_Check(func)))
+#else
+    if (likely(PyCFunction_Check(func)))
+#endif
+    {
+        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
+            return __Pyx_PyObject_CallMethO(func, NULL);
+        }
+    }
+    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
+}
+#endif
+
+/* PyIntCompare */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long inplace) {
+    if (op1 == op2) {
+        Py_RETURN_TRUE;
+    }
+    #if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_CheckExact(op1))) {
+        const long b = intval;
+        long a = PyInt_AS_LONG(op1);
+        if (a == b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
+    }
+    #endif
+    #if CYTHON_USE_PYLONG_INTERNALS
+    if (likely(PyLong_CheckExact(op1))) {
+        int unequal;
+        unsigned long uintval;
+        Py_ssize_t size = Py_SIZE(op1);
+        const digit* digits = ((PyLongObject*)op1)->ob_digit;
+        if (intval == 0) {
+            if (size == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
+        } else if (intval < 0) {
+            if (size >= 0)
+                Py_RETURN_FALSE;
+            intval = -intval;
+            size = -size;
+        } else {
+            if (size <= 0)
+                Py_RETURN_FALSE;
+        }
+        uintval = (unsigned long) intval;
+#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
+        if (uintval >> (PyLong_SHIFT * 4)) {
+            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
+                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
+        } else
+#endif
+#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
+        if (uintval >> (PyLong_SHIFT * 3)) {
+            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
+                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
+        } else
+#endif
+#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
+        if (uintval >> (PyLong_SHIFT * 2)) {
+            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
+                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
+        } else
+#endif
+#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
+        if (uintval >> (PyLong_SHIFT * 1)) {
+            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
+                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
+        } else
+#endif
+            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
+        if (unequal == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
+    }
+    #endif
+    if (PyFloat_CheckExact(op1)) {
+        const long b = intval;
+        double a = PyFloat_AS_DOUBLE(op1);
+        if ((double)a == (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
+    }
+    return (
+        PyObject_RichCompare(op1, op2, Py_EQ));
+}
+
+/* PyIntBinop */
+#if !CYTHON_COMPILING_IN_PYPY
+static PyObject* __Pyx_PyInt_SubtractObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
+    (void)inplace;
+    (void)zerodivision_check;
+    #if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_CheckExact(op1))) {
+        const long b = intval;
+        long x;
+        long a = PyInt_AS_LONG(op1);
+            x = (long)((unsigned long)a - b);
+            if (likely((x^a) >= 0 || (x^~b) >= 0))
+                return PyInt_FromLong(x);
+            return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
+    }
+    #endif
+    #if CYTHON_USE_PYLONG_INTERNALS
+    if (likely(PyLong_CheckExact(op1))) {
+        const long b = intval;
+        long a, x;
+#ifdef HAVE_LONG_LONG
+        const PY_LONG_LONG llb = intval;
+        PY_LONG_LONG lla, llx;
+#endif
+        const digit* digits = ((PyLongObject*)op1)->ob_digit;
+        const Py_ssize_t size = Py_SIZE(op1);
+        if (likely(__Pyx_sst_abs(size) <= 1)) {
+            a = likely(size) ? digits[0] : 0;
+            if (size == -1) a = -a;
+        } else {
+            switch (size) {
+                case -2:
+                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
+                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case 2:
+                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
+                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case -3:
+                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
+                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case 3:
+                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
+                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case -4:
+                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
+                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case 4:
+                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
+                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                default: return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
+            }
+        }
+                x = a - b;
+            return PyLong_FromLong(x);
+#ifdef HAVE_LONG_LONG
+        long_long:
+                llx = lla - llb;
+            return PyLong_FromLongLong(llx);
+#endif
+        
+        
+    }
+    #endif
+    if (PyFloat_CheckExact(op1)) {
+        const long b = intval;
+        double a = PyFloat_AS_DOUBLE(op1);
+            double result;
+            PyFPE_START_PROTECT("subtract", return NULL)
+            result = ((double)a) - (double)b;
+            PyFPE_END_PROTECT(result)
+            return PyFloat_FromDouble(result);
+    }
+    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
+}
+#endif
+
+/* PyErrFetchRestore */
+#if CYTHON_FAST_THREAD_STATE
+static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    tmp_type = tstate->curexc_type;
+    tmp_value = tstate->curexc_value;
+    tmp_tb = tstate->curexc_traceback;
+    tstate->curexc_type = type;
+    tstate->curexc_value = value;
+    tstate->curexc_traceback = tb;
+    Py_XDECREF(tmp_type);
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(tmp_tb);
+}
+static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
+    *type = tstate->curexc_type;
+    *value = tstate->curexc_value;
+    *tb = tstate->curexc_traceback;
+    tstate->curexc_type = 0;
+    tstate->curexc_value = 0;
+    tstate->curexc_traceback = 0;
+}
+#endif
+
+/* RaiseException */
+#if PY_MAJOR_VERSION < 3
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
+                        CYTHON_UNUSED PyObject *cause) {
+    __Pyx_PyThreadState_declare
+    Py_XINCREF(type);
+    if (!value || value == Py_None)
+        value = NULL;
+    else
+        Py_INCREF(value);
+    if (!tb || tb == Py_None)
+        tb = NULL;
+    else {
+        Py_INCREF(tb);
+        if (!PyTraceBack_Check(tb)) {
+            PyErr_SetString(PyExc_TypeError,
+                "raise: arg 3 must be a traceback or None");
+            goto raise_error;
+        }
+    }
+    if (PyType_Check(type)) {
+#if CYTHON_COMPILING_IN_PYPY
+        if (!value) {
+            Py_INCREF(Py_None);
+            value = Py_None;
+        }
+#endif
+        PyErr_NormalizeException(&type, &value, &tb);
+    } else {
+        if (value) {
+            PyErr_SetString(PyExc_TypeError,
+                "instance exception may not have a separate value");
+            goto raise_error;
+        }
+        value = type;
+        type = (PyObject*) Py_TYPE(type);
+        Py_INCREF(type);
+        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
+            PyErr_SetString(PyExc_TypeError,
+                "raise: exception class must be a subclass of BaseException");
+            goto raise_error;
+        }
+    }
+    __Pyx_PyThreadState_assign
+    __Pyx_ErrRestore(type, value, tb);
+    return;
+raise_error:
+    Py_XDECREF(value);
+    Py_XDECREF(type);
+    Py_XDECREF(tb);
+    return;
+}
+#else
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
+    PyObject* owned_instance = NULL;
+    if (tb == Py_None) {
+        tb = 0;
+    } else if (tb && !PyTraceBack_Check(tb)) {
+        PyErr_SetString(PyExc_TypeError,
+            "raise: arg 3 must be a traceback or None");
+        goto bad;
+    }
+    if (value == Py_None)
+        value = 0;
+    if (PyExceptionInstance_Check(type)) {
+        if (value) {
+            PyErr_SetString(PyExc_TypeError,
+                "instance exception may not have a separate value");
+            goto bad;
+        }
+        value = type;
+        type = (PyObject*) Py_TYPE(value);
+    } else if (PyExceptionClass_Check(type)) {
+        PyObject *instance_class = NULL;
+        if (value && PyExceptionInstance_Check(value)) {
+            instance_class = (PyObject*) Py_TYPE(value);
+            if (instance_class != type) {
+                int is_subclass = PyObject_IsSubclass(instance_class, type);
+                if (!is_subclass) {
+                    instance_class = NULL;
+                } else if (unlikely(is_subclass == -1)) {
+                    goto bad;
+                } else {
+                    type = instance_class;
+                }
+            }
+        }
+        if (!instance_class) {
+            PyObject *args;
+            if (!value)
+                args = PyTuple_New(0);
+            else if (PyTuple_Check(value)) {
+                Py_INCREF(value);
+                args = value;
+            } else
+                args = PyTuple_Pack(1, value);
+            if (!args)
+                goto bad;
+            owned_instance = PyObject_Call(type, args, NULL);
+            Py_DECREF(args);
+            if (!owned_instance)
+                goto bad;
+            value = owned_instance;
+            if (!PyExceptionInstance_Check(value)) {
+                PyErr_Format(PyExc_TypeError,
+                             "calling %R should have returned an instance of "
+                             "BaseException, not %R",
+                             type, Py_TYPE(value));
+                goto bad;
+            }
+        }
+    } else {
+        PyErr_SetString(PyExc_TypeError,
+            "raise: exception class must be a subclass of BaseException");
+        goto bad;
+    }
+    if (cause) {
+        PyObject *fixed_cause;
+        if (cause == Py_None) {
+            fixed_cause = NULL;
+        } else if (PyExceptionClass_Check(cause)) {
+            fixed_cause = PyObject_CallObject(cause, NULL);
+            if (fixed_cause == NULL)
+                goto bad;
+        } else if (PyExceptionInstance_Check(cause)) {
+            fixed_cause = cause;
+            Py_INCREF(fixed_cause);
+        } else {
+            PyErr_SetString(PyExc_TypeError,
+                            "exception causes must derive from "
+                            "BaseException");
+            goto bad;
+        }
+        PyException_SetCause(value, fixed_cause);
+    }
+    PyErr_SetObject(type, value);
+    if (tb) {
+#if CYTHON_COMPILING_IN_PYPY
+        PyObject *tmp_type, *tmp_value, *tmp_tb;
+        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
+        Py_INCREF(tb);
+        PyErr_Restore(tmp_type, tmp_value, tb);
+        Py_XDECREF(tmp_tb);
+#else
+        PyThreadState *tstate = __Pyx_PyThreadState_Current;
+        PyObject* tmp_tb = tstate->curexc_traceback;
+        if (tb != tmp_tb) {
+            Py_INCREF(tb);
+            tstate->curexc_traceback = tb;
+            Py_XDECREF(tmp_tb);
+        }
+#endif
+    }
+bad:
+    Py_XDECREF(owned_instance);
+    return;
+}
+#endif
+
+/* BytesEquals */
+static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
+#if CYTHON_COMPILING_IN_PYPY
+    return PyObject_RichCompareBool(s1, s2, equals);
+#else
+    if (s1 == s2) {
+        return (equals == Py_EQ);
+    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
+        const char *ps1, *ps2;
+        Py_ssize_t length = PyBytes_GET_SIZE(s1);
+        if (length != PyBytes_GET_SIZE(s2))
+            return (equals == Py_NE);
+        ps1 = PyBytes_AS_STRING(s1);
+        ps2 = PyBytes_AS_STRING(s2);
+        if (ps1[0] != ps2[0]) {
+            return (equals == Py_NE);
+        } else if (length == 1) {
+            return (equals == Py_EQ);
+        } else {
+            int result;
+#if CYTHON_USE_UNICODE_INTERNALS
+            Py_hash_t hash1, hash2;
+            hash1 = ((PyBytesObject*)s1)->ob_shash;
+            hash2 = ((PyBytesObject*)s2)->ob_shash;
+            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
+                return (equals == Py_NE);
+            }
+#endif
+            result = memcmp(ps1, ps2, (size_t)length);
+            return (equals == Py_EQ) ? (result == 0) : (result != 0);
+        }
+    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
+        return (equals == Py_NE);
+    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
+        return (equals == Py_NE);
+    } else {
+        int result;
+        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
+        if (!py_result)
+            return -1;
+        result = __Pyx_PyObject_IsTrue(py_result);
+        Py_DECREF(py_result);
+        return result;
+    }
+#endif
+}
+
+/* UnicodeEquals */
+static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
+#if CYTHON_COMPILING_IN_PYPY
+    return PyObject_RichCompareBool(s1, s2, equals);
+#else
+#if PY_MAJOR_VERSION < 3
+    PyObject* owned_ref = NULL;
+#endif
+    int s1_is_unicode, s2_is_unicode;
+    if (s1 == s2) {
+        goto return_eq;
+    }
+    s1_is_unicode = PyUnicode_CheckExact(s1);
+    s2_is_unicode = PyUnicode_CheckExact(s2);
+#if PY_MAJOR_VERSION < 3
+    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
+        owned_ref = PyUnicode_FromObject(s2);
+        if (unlikely(!owned_ref))
+            return -1;
+        s2 = owned_ref;
+        s2_is_unicode = 1;
+    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
+        owned_ref = PyUnicode_FromObject(s1);
+        if (unlikely(!owned_ref))
+            return -1;
+        s1 = owned_ref;
+        s1_is_unicode = 1;
+    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
+        return __Pyx_PyBytes_Equals(s1, s2, equals);
+    }
+#endif
+    if (s1_is_unicode & s2_is_unicode) {
+        Py_ssize_t length;
+        int kind;
+        void *data1, *data2;
+        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
+            return -1;
+        length = __Pyx_PyUnicode_GET_LENGTH(s1);
+        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
+            goto return_ne;
+        }
+#if CYTHON_USE_UNICODE_INTERNALS
+        {
+            Py_hash_t hash1, hash2;
+        #if CYTHON_PEP393_ENABLED
+            hash1 = ((PyASCIIObject*)s1)->hash;
+            hash2 = ((PyASCIIObject*)s2)->hash;
+        #else
+            hash1 = ((PyUnicodeObject*)s1)->hash;
+            hash2 = ((PyUnicodeObject*)s2)->hash;
+        #endif
+            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
+                goto return_ne;
+            }
+        }
+#endif
+        kind = __Pyx_PyUnicode_KIND(s1);
+        if (kind != __Pyx_PyUnicode_KIND(s2)) {
+            goto return_ne;
+        }
+        data1 = __Pyx_PyUnicode_DATA(s1);
+        data2 = __Pyx_PyUnicode_DATA(s2);
+        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
+            goto return_ne;
+        } else if (length == 1) {
+            goto return_eq;
+        } else {
+            int result = memcmp(data1, data2, (size_t)(length * kind));
+            #if PY_MAJOR_VERSION < 3
+            Py_XDECREF(owned_ref);
+            #endif
+            return (equals == Py_EQ) ? (result == 0) : (result != 0);
+        }
+    } else if ((s1 == Py_None) & s2_is_unicode) {
+        goto return_ne;
+    } else if ((s2 == Py_None) & s1_is_unicode) {
+        goto return_ne;
+    } else {
+        int result;
+        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
+        #if PY_MAJOR_VERSION < 3
+        Py_XDECREF(owned_ref);
+        #endif
+        if (!py_result)
+            return -1;
+        result = __Pyx_PyObject_IsTrue(py_result);
+        Py_DECREF(py_result);
+        return result;
+    }
+return_eq:
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(owned_ref);
+    #endif
+    return (equals == Py_EQ);
+return_ne:
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(owned_ref);
+    #endif
+    return (equals == Py_NE);
+#endif
+}
+
+/* None */
+static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t a, Py_ssize_t b) {
+    Py_ssize_t q = a / b;
+    Py_ssize_t r = a - q*b;
+    q -= ((r != 0) & ((r ^ b) < 0));
+    return q;
+}
+
+/* GetAttr */
+static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
+#if CYTHON_USE_TYPE_SLOTS
+#if PY_MAJOR_VERSION >= 3
+    if (likely(PyUnicode_Check(n)))
+#else
+    if (likely(PyString_Check(n)))
+#endif
+        return __Pyx_PyObject_GetAttrStr(o, n);
+#endif
+    return PyObject_GetAttr(o, n);
+}
+
+/* GetItemInt */
+static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
+    PyObject *r;
+    if (!j) return NULL;
+    r = PyObject_GetItem(o, j);
+    Py_DECREF(j);
+    return r;
+}
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
+                                                              CYTHON_NCP_UNUSED int wraparound,
+                                                              CYTHON_NCP_UNUSED int boundscheck) {
+#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
+    Py_ssize_t wrapped_i = i;
+    if (wraparound & unlikely(i < 0)) {
+        wrapped_i += PyList_GET_SIZE(o);
+    }
+    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
+        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
+        Py_INCREF(r);
+        return r;
+    }
+    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
+#else
+    return PySequence_GetItem(o, i);
+#endif
+}
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
+                                                              CYTHON_NCP_UNUSED int wraparound,
+                                                              CYTHON_NCP_UNUSED int boundscheck) {
+#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
+    Py_ssize_t wrapped_i = i;
+    if (wraparound & unlikely(i < 0)) {
+        wrapped_i += PyTuple_GET_SIZE(o);
+    }
+    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
+        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
+        Py_INCREF(r);
+        return r;
+    }
+    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
+#else
+    return PySequence_GetItem(o, i);
+#endif
+}
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
+                                                     CYTHON_NCP_UNUSED int wraparound,
+                                                     CYTHON_NCP_UNUSED int boundscheck) {
+#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
+    if (is_list || PyList_CheckExact(o)) {
+        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
+        if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
+            PyObject *r = PyList_GET_ITEM(o, n);
+            Py_INCREF(r);
+            return r;
+        }
+    }
+    else if (PyTuple_CheckExact(o)) {
+        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
+        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
+            PyObject *r = PyTuple_GET_ITEM(o, n);
+            Py_INCREF(r);
+            return r;
+        }
+    } else {
+        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
+        if (likely(m && m->sq_item)) {
+            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
+                Py_ssize_t l = m->sq_length(o);
+                if (likely(l >= 0)) {
+                    i += l;
+                } else {
+                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
+                        return NULL;
+                    PyErr_Clear();
+                }
+            }
+            return m->sq_item(o, i);
+        }
+    }
+#else
+    if (is_list || PySequence_Check(o)) {
+        return PySequence_GetItem(o, i);
+    }
+#endif
+    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
+}
+
+/* ObjectGetItem */
+#if CYTHON_USE_TYPE_SLOTS
+static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
+    PyObject *runerr;
+    Py_ssize_t key_value;
+    PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
+    if (unlikely(!(m && m->sq_item))) {
+        PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
+        return NULL;
+    }
+    key_value = __Pyx_PyIndex_AsSsize_t(index);
+    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
+        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
+    }
+    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
+        PyErr_Clear();
+        PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
+    }
+    return NULL;
+}
+static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
+    PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
+    if (likely(m && m->mp_subscript)) {
+        return m->mp_subscript(obj, key);
+    }
+    return __Pyx_PyObject_GetIndex(obj, key);
+}
+#endif
+
+/* decode_c_string */
+static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
+         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
+         const char* encoding, const char* errors,
+         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
+    Py_ssize_t length;
+    if (unlikely((start < 0) | (stop < 0))) {
+        size_t slen = strlen(cstring);
+        if (unlikely(slen > (size_t) PY_SSIZE_T_MAX)) {
+            PyErr_SetString(PyExc_OverflowError,
+                            "c-string too long to convert to Python");
+            return NULL;
+        }
+        length = (Py_ssize_t) slen;
+        if (start < 0) {
+            start += length;
+            if (start < 0)
+                start = 0;
+        }
+        if (stop < 0)
+            stop += length;
+    }
+    if (unlikely(stop <= start))
+        return __Pyx_NewRef(__pyx_empty_unicode);
+    length = stop - start;
+    cstring += start;
+    if (decode_func) {
+        return decode_func(cstring, length, errors);
+    } else {
+        return PyUnicode_Decode(cstring, length, encoding, errors);
+    }
+}
+
+/* PyErrExceptionMatches */
+#if CYTHON_FAST_THREAD_STATE
+static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
+    Py_ssize_t i, n;
+    n = PyTuple_GET_SIZE(tuple);
+#if PY_MAJOR_VERSION >= 3
+    for (i=0; i<n; i++) {
+        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
+    }
+#endif
+    for (i=0; i<n; i++) {
+        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
+    }
+    return 0;
+}
+static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
+    PyObject *exc_type = tstate->curexc_type;
+    if (exc_type == err) return 1;
+    if (unlikely(!exc_type)) return 0;
+    if (unlikely(PyTuple_Check(err)))
+        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
+    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
+}
+#endif
+
+/* GetAttr3 */
+static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
+    __Pyx_PyThreadState_declare
+    __Pyx_PyThreadState_assign
+    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
+        return NULL;
+    __Pyx_PyErr_Clear();
+    Py_INCREF(d);
+    return d;
+}
+static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
+    PyObject *r = __Pyx_GetAttr(o, n);
+    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
+}
+
+/* RaiseTooManyValuesToUnpack */
+static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
+    PyErr_Format(PyExc_ValueError,
+                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
+}
+
+/* RaiseNeedMoreValuesToUnpack */
+static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
+    PyErr_Format(PyExc_ValueError,
+                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
+                 index, (index == 1) ? "" : "s");
+}
+
+/* RaiseNoneIterError */
+static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
+    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
+}
+
+/* ExtTypeTest */
+static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
+    if (unlikely(!type)) {
+        PyErr_SetString(PyExc_SystemError, "Missing type object");
+        return 0;
+    }
+    if (likely(__Pyx_TypeCheck(obj, type)))
+        return 1;
+    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
+                 Py_TYPE(obj)->tp_name, type->tp_name);
+    return 0;
+}
+
+/* GetTopmostException */
+#if CYTHON_USE_EXC_INFO_STACK
+static _PyErr_StackItem *
+__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
+{
+    _PyErr_StackItem *exc_info = tstate->exc_info;
+    while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
+           exc_info->previous_item != NULL)
+    {
+        exc_info = exc_info->previous_item;
+    }
+    return exc_info;
+}
+#endif
+
+/* SaveResetException */
+#if CYTHON_FAST_THREAD_STATE
+static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
+    #if CYTHON_USE_EXC_INFO_STACK
+    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
+    *type = exc_info->exc_type;
+    *value = exc_info->exc_value;
+    *tb = exc_info->exc_traceback;
+    #else
+    *type = tstate->exc_type;
+    *value = tstate->exc_value;
+    *tb = tstate->exc_traceback;
+    #endif
+    Py_XINCREF(*type);
+    Py_XINCREF(*value);
+    Py_XINCREF(*tb);
+}
+static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    #if CYTHON_USE_EXC_INFO_STACK
+    _PyErr_StackItem *exc_info = tstate->exc_info;
+    tmp_type = exc_info->exc_type;
+    tmp_value = exc_info->exc_value;
+    tmp_tb = exc_info->exc_traceback;
+    exc_info->exc_type = type;
+    exc_info->exc_value = value;
+    exc_info->exc_traceback = tb;
+    #else
+    tmp_type = tstate->exc_type;
+    tmp_value = tstate->exc_value;
+    tmp_tb = tstate->exc_traceback;
+    tstate->exc_type = type;
+    tstate->exc_value = value;
+    tstate->exc_traceback = tb;
+    #endif
+    Py_XDECREF(tmp_type);
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(tmp_tb);
+}
+#endif
+
+/* GetException */
+#if CYTHON_FAST_THREAD_STATE
+static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
+#else
+static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
+#endif
+{
+    PyObject *local_type, *local_value, *local_tb;
+#if CYTHON_FAST_THREAD_STATE
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    local_type = tstate->curexc_type;
+    local_value = tstate->curexc_value;
+    local_tb = tstate->curexc_traceback;
+    tstate->curexc_type = 0;
+    tstate->curexc_value = 0;
+    tstate->curexc_traceback = 0;
+#else
+    PyErr_Fetch(&local_type, &local_value, &local_tb);
+#endif
+    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
+#if CYTHON_FAST_THREAD_STATE
+    if (unlikely(tstate->curexc_type))
+#else
+    if (unlikely(PyErr_Occurred()))
+#endif
+        goto bad;
+    #if PY_MAJOR_VERSION >= 3
+    if (local_tb) {
+        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
+            goto bad;
+    }
+    #endif
+    Py_XINCREF(local_tb);
+    Py_XINCREF(local_type);
+    Py_XINCREF(local_value);
+    *type = local_type;
+    *value = local_value;
+    *tb = local_tb;
+#if CYTHON_FAST_THREAD_STATE
+    #if CYTHON_USE_EXC_INFO_STACK
+    {
+        _PyErr_StackItem *exc_info = tstate->exc_info;
+        tmp_type = exc_info->exc_type;
+        tmp_value = exc_info->exc_value;
+        tmp_tb = exc_info->exc_traceback;
+        exc_info->exc_type = local_type;
+        exc_info->exc_value = local_value;
+        exc_info->exc_traceback = local_tb;
+    }
+    #else
+    tmp_type = tstate->exc_type;
+    tmp_value = tstate->exc_value;
+    tmp_tb = tstate->exc_traceback;
+    tstate->exc_type = local_type;
+    tstate->exc_value = local_value;
+    tstate->exc_traceback = local_tb;
+    #endif
+    Py_XDECREF(tmp_type);
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(tmp_tb);
+#else
+    PyErr_SetExcInfo(local_type, local_value, local_tb);
+#endif
+    return 0;
+bad:
+    *type = 0;
+    *value = 0;
+    *tb = 0;
+    Py_XDECREF(local_type);
+    Py_XDECREF(local_value);
+    Py_XDECREF(local_tb);
+    return -1;
+}
+
+/* SwapException */
+#if CYTHON_FAST_THREAD_STATE
+static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    #if CYTHON_USE_EXC_INFO_STACK
+    _PyErr_StackItem *exc_info = tstate->exc_info;
+    tmp_type = exc_info->exc_type;
+    tmp_value = exc_info->exc_value;
+    tmp_tb = exc_info->exc_traceback;
+    exc_info->exc_type = *type;
+    exc_info->exc_value = *value;
+    exc_info->exc_traceback = *tb;
+    #else
+    tmp_type = tstate->exc_type;
+    tmp_value = tstate->exc_value;
+    tmp_tb = tstate->exc_traceback;
+    tstate->exc_type = *type;
+    tstate->exc_value = *value;
+    tstate->exc_traceback = *tb;
+    #endif
+    *type = tmp_type;
+    *value = tmp_value;
+    *tb = tmp_tb;
+}
+#else
+static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
+    PyErr_SetExcInfo(*type, *value, *tb);
+    *type = tmp_type;
+    *value = tmp_value;
+    *tb = tmp_tb;
+}
+#endif
+
+/* Import */
+static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
+    PyObject *empty_list = 0;
+    PyObject *module = 0;
+    PyObject *global_dict = 0;
+    PyObject *empty_dict = 0;
+    PyObject *list;
+    #if PY_MAJOR_VERSION < 3
+    PyObject *py_import;
+    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
+    if (!py_import)
+        goto bad;
+    #endif
+    if (from_list)
+        list = from_list;
+    else {
+        empty_list = PyList_New(0);
+        if (!empty_list)
+            goto bad;
+        list = empty_list;
+    }
+    global_dict = PyModule_GetDict(__pyx_m);
+    if (!global_dict)
+        goto bad;
+    empty_dict = PyDict_New();
+    if (!empty_dict)
+        goto bad;
+    {
+        #if PY_MAJOR_VERSION >= 3
+        if (level == -1) {
+            if ((1) && (strchr(__Pyx_MODULE_NAME, '.'))) {
+                module = PyImport_ImportModuleLevelObject(
+                    name, global_dict, empty_dict, list, 1);
+                if (!module) {
+                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
+                        goto bad;
+                    PyErr_Clear();
+                }
+            }
+            level = 0;
+        }
+        #endif
+        if (!module) {
+            #if PY_MAJOR_VERSION < 3
+            PyObject *py_level = PyInt_FromLong(level);
+            if (!py_level)
+                goto bad;
+            module = PyObject_CallFunctionObjArgs(py_import,
+                name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
+            Py_DECREF(py_level);
+            #else
+            module = PyImport_ImportModuleLevelObject(
+                name, global_dict, empty_dict, list, level);
+            #endif
+        }
+    }
+bad:
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(py_import);
+    #endif
+    Py_XDECREF(empty_list);
+    Py_XDECREF(empty_dict);
+    return module;
+}
+
+/* FastTypeChecks */
+#if CYTHON_COMPILING_IN_CPYTHON
+static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
+    while (a) {
+        a = a->tp_base;
+        if (a == b)
+            return 1;
+    }
+    return b == &PyBaseObject_Type;
+}
+static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
+    PyObject *mro;
+    if (a == b) return 1;
+    mro = a->tp_mro;
+    if (likely(mro)) {
+        Py_ssize_t i, n;
+        n = PyTuple_GET_SIZE(mro);
+        for (i = 0; i < n; i++) {
+            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
+                return 1;
+        }
+        return 0;
+    }
+    return __Pyx_InBases(a, b);
+}
+#if PY_MAJOR_VERSION == 2
+static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
+    PyObject *exception, *value, *tb;
+    int res;
+    __Pyx_PyThreadState_declare
+    __Pyx_PyThreadState_assign
+    __Pyx_ErrFetch(&exception, &value, &tb);
+    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
+    if (unlikely(res == -1)) {
+        PyErr_WriteUnraisable(err);
+        res = 0;
+    }
+    if (!res) {
+        res = PyObject_IsSubclass(err, exc_type2);
+        if (unlikely(res == -1)) {
+            PyErr_WriteUnraisable(err);
+            res = 0;
+        }
+    }
+    __Pyx_ErrRestore(exception, value, tb);
+    return res;
+}
+#else
+static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
+    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
+    if (!res) {
+        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
+    }
+    return res;
+}
+#endif
+static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
+    Py_ssize_t i, n;
+    assert(PyExceptionClass_Check(exc_type));
+    n = PyTuple_GET_SIZE(tuple);
+#if PY_MAJOR_VERSION >= 3
+    for (i=0; i<n; i++) {
+        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
+    }
+#endif
+    for (i=0; i<n; i++) {
+        PyObject *t = PyTuple_GET_ITEM(tuple, i);
+        #if PY_MAJOR_VERSION < 3
+        if (likely(exc_type == t)) return 1;
+        #endif
+        if (likely(PyExceptionClass_Check(t))) {
+            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
+        } else {
+        }
+    }
+    return 0;
+}
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
+    if (likely(err == exc_type)) return 1;
+    if (likely(PyExceptionClass_Check(err))) {
+        if (likely(PyExceptionClass_Check(exc_type))) {
+            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
+        } else if (likely(PyTuple_Check(exc_type))) {
+            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
+        } else {
+        }
+    }
+    return PyErr_GivenExceptionMatches(err, exc_type);
+}
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
+    assert(PyExceptionClass_Check(exc_type1));
+    assert(PyExceptionClass_Check(exc_type2));
+    if (likely(err == exc_type1 || err == exc_type2)) return 1;
+    if (likely(PyExceptionClass_Check(err))) {
+        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
+    }
+    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
+}
+#endif
+
+/* PyIntBinop */
+#if !CYTHON_COMPILING_IN_PYPY
+static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
+    (void)inplace;
+    (void)zerodivision_check;
+    #if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_CheckExact(op1))) {
+        const long b = intval;
+        long x;
+        long a = PyInt_AS_LONG(op1);
+            x = (long)((unsigned long)a + b);
+            if (likely((x^a) >= 0 || (x^b) >= 0))
+                return PyInt_FromLong(x);
+            return PyLong_Type.tp_as_number->nb_add(op1, op2);
+    }
+    #endif
+    #if CYTHON_USE_PYLONG_INTERNALS
+    if (likely(PyLong_CheckExact(op1))) {
+        const long b = intval;
+        long a, x;
+#ifdef HAVE_LONG_LONG
+        const PY_LONG_LONG llb = intval;
+        PY_LONG_LONG lla, llx;
+#endif
+        const digit* digits = ((PyLongObject*)op1)->ob_digit;
+        const Py_ssize_t size = Py_SIZE(op1);
+        if (likely(__Pyx_sst_abs(size) <= 1)) {
+            a = likely(size) ? digits[0] : 0;
+            if (size == -1) a = -a;
+        } else {
+            switch (size) {
+                case -2:
+                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
+                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case 2:
+                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
+                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case -3:
+                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
+                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case 3:
+                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
+                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case -4:
+                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
+                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case 4:
+                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
+                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
+            }
+        }
+                x = a + b;
+            return PyLong_FromLong(x);
+#ifdef HAVE_LONG_LONG
+        long_long:
+                llx = lla + llb;
+            return PyLong_FromLongLong(llx);
+#endif
+        
+        
+    }
+    #endif
+    if (PyFloat_CheckExact(op1)) {
+        const long b = intval;
+        double a = PyFloat_AS_DOUBLE(op1);
+            double result;
+            PyFPE_START_PROTECT("add", return NULL)
+            result = ((double)a) + (double)b;
+            PyFPE_END_PROTECT(result)
+            return PyFloat_FromDouble(result);
+    }
+    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
+}
+#endif
+
+/* None */
+static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
+    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
+}
+
+/* None */
+static CYTHON_INLINE long __Pyx_div_long(long a, long b) {
+    long q = a / b;
+    long r = a - q*b;
+    q -= ((r != 0) & ((r ^ b) < 0));
+    return q;
+}
+
+/* ImportFrom */
+static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
+    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
+    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
+        PyErr_Format(PyExc_ImportError,
+        #if PY_MAJOR_VERSION < 3
+            "cannot import name %.230s", PyString_AS_STRING(name));
+        #else
+            "cannot import name %S", name);
+        #endif
+    }
+    return value;
+}
+
+/* HasAttr */
+static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
+    PyObject *r;
+    if (unlikely(!__Pyx_PyBaseString_Check(n))) {
+        PyErr_SetString(PyExc_TypeError,
+                        "hasattr(): attribute name must be string");
+        return -1;
+    }
+    r = __Pyx_GetAttr(o, n);
+    if (unlikely(!r)) {
+        PyErr_Clear();
+        return 0;
+    } else {
+        Py_DECREF(r);
+        return 1;
+    }
+}
+
+/* PyObject_GenericGetAttrNoDict */
+#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
+static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
+    PyErr_Format(PyExc_AttributeError,
+#if PY_MAJOR_VERSION >= 3
+                 "'%.50s' object has no attribute '%U'",
+                 tp->tp_name, attr_name);
+#else
+                 "'%.50s' object has no attribute '%.400s'",
+                 tp->tp_name, PyString_AS_STRING(attr_name));
+#endif
+    return NULL;
+}
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
+    PyObject *descr;
+    PyTypeObject *tp = Py_TYPE(obj);
+    if (unlikely(!PyString_Check(attr_name))) {
+        return PyObject_GenericGetAttr(obj, attr_name);
+    }
+    assert(!tp->tp_dictoffset);
+    descr = _PyType_Lookup(tp, attr_name);
+    if (unlikely(!descr)) {
+        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
+    }
+    Py_INCREF(descr);
+    #if PY_MAJOR_VERSION < 3
+    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
+    #endif
+    {
+        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
+        if (unlikely(f)) {
+            PyObject *res = f(descr, obj, (PyObject *)tp);
+            Py_DECREF(descr);
+            return res;
+        }
+    }
+    return descr;
+}
+#endif
+
+/* PyObject_GenericGetAttr */
+#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
+static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
+    if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
+        return PyObject_GenericGetAttr(obj, attr_name);
+    }
+    return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
+}
+#endif
+
+/* SetVTable */
+static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
+#if PY_VERSION_HEX >= 0x02070000
+    PyObject *ob = PyCapsule_New(vtable, 0, 0);
+#else
+    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
+#endif
+    if (!ob)
+        goto bad;
+    if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
+        goto bad;
+    Py_DECREF(ob);
+    return 0;
+bad:
+    Py_XDECREF(ob);
+    return -1;
+}
+
+/* PyObjectGetAttrStrNoError */
+static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
+    __Pyx_PyThreadState_declare
+    __Pyx_PyThreadState_assign
+    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
+        __Pyx_PyErr_Clear();
+}
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
+    PyObject *result;
+#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
+    PyTypeObject* tp = Py_TYPE(obj);
+    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
+        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
+    }
+#endif
+    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
+    if (unlikely(!result)) {
+        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
+    }
+    return result;
+}
+
+/* SetupReduce */
+static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
+  int ret;
+  PyObject *name_attr;
+  name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name_2);
+  if (likely(name_attr)) {
+      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
+  } else {
+      ret = -1;
+  }
+  if (unlikely(ret < 0)) {
+      PyErr_Clear();
+      ret = 0;
+  }
+  Py_XDECREF(name_attr);
+  return ret;
+}
+static int __Pyx_setup_reduce(PyObject* type_obj) {
+    int ret = 0;
+    PyObject *object_reduce = NULL;
+    PyObject *object_reduce_ex = NULL;
+    PyObject *reduce = NULL;
+    PyObject *reduce_ex = NULL;
+    PyObject *reduce_cython = NULL;
+    PyObject *setstate = NULL;
+    PyObject *setstate_cython = NULL;
+#if CYTHON_USE_PYTYPE_LOOKUP
+    if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
+#else
+    if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
+#endif
+#if CYTHON_USE_PYTYPE_LOOKUP
+    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
+#else
+    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
+#endif
+    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
+    if (reduce_ex == object_reduce_ex) {
+#if CYTHON_USE_PYTYPE_LOOKUP
+        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
+#else
+        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
+#endif
+        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
+        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
+            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);
+            if (likely(reduce_cython)) {
+                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
+                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
+            } else if (reduce == object_reduce || PyErr_Occurred()) {
+                goto __PYX_BAD;
+            }
+            setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
+            if (!setstate) PyErr_Clear();
+            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
+                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);
+                if (likely(setstate_cython)) {
+                    ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
+                    ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
+                } else if (!setstate || PyErr_Occurred()) {
+                    goto __PYX_BAD;
+                }
+            }
+            PyType_Modified((PyTypeObject*)type_obj);
+        }
+    }
+    goto __PYX_GOOD;
+__PYX_BAD:
+    if (!PyErr_Occurred())
+        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
+    ret = -1;
+__PYX_GOOD:
+#if !CYTHON_USE_PYTYPE_LOOKUP
+    Py_XDECREF(object_reduce);
+    Py_XDECREF(object_reduce_ex);
+#endif
+    Py_XDECREF(reduce);
+    Py_XDECREF(reduce_ex);
+    Py_XDECREF(reduce_cython);
+    Py_XDECREF(setstate);
+    Py_XDECREF(setstate_cython);
+    return ret;
+}
+
+/* CLineInTraceback */
+#ifndef CYTHON_CLINE_IN_TRACEBACK
+static int __Pyx_CLineForTraceback(CYTHON_NCP_UNUSED PyThreadState *tstate, int c_line) {
+    PyObject *use_cline;
+    PyObject *ptype, *pvalue, *ptraceback;
+#if CYTHON_COMPILING_IN_CPYTHON
+    PyObject **cython_runtime_dict;
+#endif
+    if (unlikely(!__pyx_cython_runtime)) {
+        return c_line;
+    }
+    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
+#if CYTHON_COMPILING_IN_CPYTHON
+    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
+    if (likely(cython_runtime_dict)) {
+        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
+            use_cline, *cython_runtime_dict,
+            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
+    } else
+#endif
+    {
+      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
+      if (use_cline_obj) {
+        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
+        Py_DECREF(use_cline_obj);
+      } else {
+        PyErr_Clear();
+        use_cline = NULL;
+      }
+    }
+    if (!use_cline) {
+        c_line = 0;
+        PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
+    }
+    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
+        c_line = 0;
+    }
+    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
+    return c_line;
+}
+#endif
+
+/* CodeObjectCache */
+static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
+    int start = 0, mid = 0, end = count - 1;
+    if (end >= 0 && code_line > entries[end].code_line) {
+        return count;
+    }
+    while (start < end) {
+        mid = start + (end - start) / 2;
+        if (code_line < entries[mid].code_line) {
+            end = mid;
+        } else if (code_line > entries[mid].code_line) {
+             start = mid + 1;
+        } else {
+            return mid;
+        }
+    }
+    if (code_line <= entries[mid].code_line) {
+        return mid;
+    } else {
+        return mid + 1;
+    }
+}
+static PyCodeObject *__pyx_find_code_object(int code_line) {
+    PyCodeObject* code_object;
+    int pos;
+    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
+        return NULL;
+    }
+    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
+    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
+        return NULL;
+    }
+    code_object = __pyx_code_cache.entries[pos].code_object;
+    Py_INCREF(code_object);
+    return code_object;
+}
+static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
+    int pos, i;
+    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
+    if (unlikely(!code_line)) {
+        return;
+    }
+    if (unlikely(!entries)) {
+        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
+        if (likely(entries)) {
+            __pyx_code_cache.entries = entries;
+            __pyx_code_cache.max_count = 64;
+            __pyx_code_cache.count = 1;
+            entries[0].code_line = code_line;
+            entries[0].code_object = code_object;
+            Py_INCREF(code_object);
+        }
+        return;
+    }
+    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
+    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
+        PyCodeObject* tmp = entries[pos].code_object;
+        entries[pos].code_object = code_object;
+        Py_DECREF(tmp);
+        return;
+    }
+    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
+        int new_max = __pyx_code_cache.max_count + 64;
+        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
+            __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
+        if (unlikely(!entries)) {
+            return;
+        }
+        __pyx_code_cache.entries = entries;
+        __pyx_code_cache.max_count = new_max;
+    }
+    for (i=__pyx_code_cache.count; i>pos; i--) {
+        entries[i] = entries[i-1];
+    }
+    entries[pos].code_line = code_line;
+    entries[pos].code_object = code_object;
+    __pyx_code_cache.count++;
+    Py_INCREF(code_object);
+}
+
+/* AddTraceback */
+#include "compile.h"
+#include "frameobject.h"
+#include "traceback.h"
+static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
+            const char *funcname, int c_line,
+            int py_line, const char *filename) {
+    PyCodeObject *py_code = 0;
+    PyObject *py_srcfile = 0;
+    PyObject *py_funcname = 0;
+    #if PY_MAJOR_VERSION < 3
+    py_srcfile = PyString_FromString(filename);
+    #else
+    py_srcfile = PyUnicode_FromString(filename);
+    #endif
+    if (!py_srcfile) goto bad;
+    if (c_line) {
+        #if PY_MAJOR_VERSION < 3
+        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
+        #else
+        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
+        #endif
+    }
+    else {
+        #if PY_MAJOR_VERSION < 3
+        py_funcname = PyString_FromString(funcname);
+        #else
+        py_funcname = PyUnicode_FromString(funcname);
+        #endif
+    }
+    if (!py_funcname) goto bad;
+    py_code = __Pyx_PyCode_New(
+        0,
+        0,
+        0,
+        0,
+        0,
+        __pyx_empty_bytes, /*PyObject *code,*/
+        __pyx_empty_tuple, /*PyObject *consts,*/
+        __pyx_empty_tuple, /*PyObject *names,*/
+        __pyx_empty_tuple, /*PyObject *varnames,*/
+        __pyx_empty_tuple, /*PyObject *freevars,*/
+        __pyx_empty_tuple, /*PyObject *cellvars,*/
+        py_srcfile,   /*PyObject *filename,*/
+        py_funcname,  /*PyObject *name,*/
+        py_line,
+        __pyx_empty_bytes  /*PyObject *lnotab*/
+    );
+    Py_DECREF(py_srcfile);
+    Py_DECREF(py_funcname);
+    return py_code;
+bad:
+    Py_XDECREF(py_srcfile);
+    Py_XDECREF(py_funcname);
+    return NULL;
+}
+static void __Pyx_AddTraceback(const char *funcname, int c_line,
+                               int py_line, const char *filename) {
+    PyCodeObject *py_code = 0;
+    PyFrameObject *py_frame = 0;
+    PyThreadState *tstate = __Pyx_PyThreadState_Current;
+    if (c_line) {
+        c_line = __Pyx_CLineForTraceback(tstate, c_line);
+    }
+    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
+    if (!py_code) {
+        py_code = __Pyx_CreateCodeObjectForTraceback(
+            funcname, c_line, py_line, filename);
+        if (!py_code) goto bad;
+        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
+    }
+    py_frame = PyFrame_New(
+        tstate,            /*PyThreadState *tstate,*/
+        py_code,           /*PyCodeObject *code,*/
+        __pyx_d,    /*PyObject *globals,*/
+        0                  /*PyObject *locals*/
+    );
+    if (!py_frame) goto bad;
+    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
+    PyTraceBack_Here(py_frame);
+bad:
+    Py_XDECREF(py_code);
+    Py_XDECREF(py_frame);
+}
+
+#if PY_MAJOR_VERSION < 3
+static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
+    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
+        if (__Pyx_TypeCheck(obj, __pyx_array_type)) return __pyx_array_getbuffer(obj, view, flags);
+        if (__Pyx_TypeCheck(obj, __pyx_memoryview_type)) return __pyx_memoryview_getbuffer(obj, view, flags);
+    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
+    return -1;
+}
+static void __Pyx_ReleaseBuffer(Py_buffer *view) {
+    PyObject *obj = view->obj;
+    if (!obj) return;
+    if (PyObject_CheckBuffer(obj)) {
+        PyBuffer_Release(view);
+        return;
+    }
+    if ((0)) {}
+    view->obj = NULL;
+    Py_DECREF(obj);
+}
+#endif
+
+
+/* MemviewSliceIsContig */
+static int
+__pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim)
+{
+    int i, index, step, start;
+    Py_ssize_t itemsize = mvs.memview->view.itemsize;
+    if (order == 'F') {
+        step = 1;
+        start = 0;
+    } else {
+        step = -1;
+        start = ndim - 1;
+    }
+    for (i = 0; i < ndim; i++) {
+        index = start + step * i;
+        if (mvs.suboffsets[index] >= 0 || mvs.strides[index] != itemsize)
+            return 0;
+        itemsize *= mvs.shape[index];
+    }
+    return 1;
+}
+
+/* OverlappingSlices */
+static void
+__pyx_get_array_memory_extents(__Pyx_memviewslice *slice,
+                               void **out_start, void **out_end,
+                               int ndim, size_t itemsize)
+{
+    char *start, *end;
+    int i;
+    start = end = slice->data;
+    for (i = 0; i < ndim; i++) {
+        Py_ssize_t stride = slice->strides[i];
+        Py_ssize_t extent = slice->shape[i];
+        if (extent == 0) {
+            *out_start = *out_end = start;
+            return;
+        } else {
+            if (stride > 0)
+                end += stride * (extent - 1);
+            else
+                start += stride * (extent - 1);
+        }
+    }
+    *out_start = start;
+    *out_end = end + itemsize;
+}
+static int
+__pyx_slices_overlap(__Pyx_memviewslice *slice1,
+                     __Pyx_memviewslice *slice2,
+                     int ndim, size_t itemsize)
+{
+    void *start1, *end1, *start2, *end2;
+    __pyx_get_array_memory_extents(slice1, &start1, &end1, ndim, itemsize);
+    __pyx_get_array_memory_extents(slice2, &start2, &end2, ndim, itemsize);
+    return (start1 < end2) && (start2 < end1);
+}
+
+/* Capsule */
+static CYTHON_INLINE PyObject *
+__pyx_capsule_create(void *p, CYTHON_UNUSED const char *sig)
+{
+    PyObject *cobj;
+#if PY_VERSION_HEX >= 0x02070000
+    cobj = PyCapsule_New(p, sig, NULL);
+#else
+    cobj = PyCObject_FromVoidPtr(p, NULL);
+#endif
+    return cobj;
+}
+
+/* IsLittleEndian */
+static CYTHON_INLINE int __Pyx_Is_Little_Endian(void)
+{
+  union {
+    uint32_t u32;
+    uint8_t u8[4];
+  } S;
+  S.u32 = 0x01020304;
+  return S.u8[0] == 4;
+}
+
+/* BufferFormatCheck */
+static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
+                              __Pyx_BufFmt_StackElem* stack,
+                              __Pyx_TypeInfo* type) {
+  stack[0].field = &ctx->root;
+  stack[0].parent_offset = 0;
+  ctx->root.type = type;
+  ctx->root.name = "buffer dtype";
+  ctx->root.offset = 0;
+  ctx->head = stack;
+  ctx->head->field = &ctx->root;
+  ctx->fmt_offset = 0;
+  ctx->head->parent_offset = 0;
+  ctx->new_packmode = '@';
+  ctx->enc_packmode = '@';
+  ctx->new_count = 1;
+  ctx->enc_count = 0;
+  ctx->enc_type = 0;
+  ctx->is_complex = 0;
+  ctx->is_valid_array = 0;
+  ctx->struct_alignment = 0;
+  while (type->typegroup == 'S') {
+    ++ctx->head;
+    ctx->head->field = type->fields;
+    ctx->head->parent_offset = 0;
+    type = type->fields->type;
+  }
+}
+static int __Pyx_BufFmt_ParseNumber(const char** ts) {
+    int count;
+    const char* t = *ts;
+    if (*t < '0' || *t > '9') {
+      return -1;
+    } else {
+        count = *t++ - '0';
+        while (*t >= '0' && *t <= '9') {
+            count *= 10;
+            count += *t++ - '0';
+        }
+    }
+    *ts = t;
+    return count;
+}
+static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
+    int number = __Pyx_BufFmt_ParseNumber(ts);
+    if (number == -1)
+        PyErr_Format(PyExc_ValueError,\
+                     "Does not understand character buffer dtype format string ('%c')", **ts);
+    return number;
+}
+static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
+  PyErr_Format(PyExc_ValueError,
+               "Unexpected format string character: '%c'", ch);
+}
+static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
+  switch (ch) {
+    case '?': return "'bool'";
+    case 'c': return "'char'";
+    case 'b': return "'signed char'";
+    case 'B': return "'unsigned char'";
+    case 'h': return "'short'";
+    case 'H': return "'unsigned short'";
+    case 'i': return "'int'";
+    case 'I': return "'unsigned int'";
+    case 'l': return "'long'";
+    case 'L': return "'unsigned long'";
+    case 'q': return "'long long'";
+    case 'Q': return "'unsigned long long'";
+    case 'f': return (is_complex ? "'complex float'" : "'float'");
+    case 'd': return (is_complex ? "'complex double'" : "'double'");
+    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
+    case 'T': return "a struct";
+    case 'O': return "Python object";
+    case 'P': return "a pointer";
+    case 's': case 'p': return "a string";
+    case 0: return "end";
+    default: return "unparseable format string";
+  }
+}
+static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return 2;
+    case 'i': case 'I': case 'l': case 'L': return 4;
+    case 'q': case 'Q': return 8;
+    case 'f': return (is_complex ? 8 : 4);
+    case 'd': return (is_complex ? 16 : 8);
+    case 'g': {
+      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
+      return 0;
+    }
+    case 'O': case 'P': return sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(short);
+    case 'i': case 'I': return sizeof(int);
+    case 'l': case 'L': return sizeof(long);
+    #ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
+    #endif
+    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
+    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
+    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
+    case 'O': case 'P': return sizeof(void*);
+    default: {
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+  }
+}
+typedef struct { char c; short x; } __Pyx_st_short;
+typedef struct { char c; int x; } __Pyx_st_int;
+typedef struct { char c; long x; } __Pyx_st_long;
+typedef struct { char c; float x; } __Pyx_st_float;
+typedef struct { char c; double x; } __Pyx_st_double;
+typedef struct { char c; long double x; } __Pyx_st_longdouble;
+typedef struct { char c; void *x; } __Pyx_st_void_p;
+#ifdef HAVE_LONG_LONG
+typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
+#endif
+static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
+    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
+    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
+#ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
+#endif
+    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
+    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
+    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
+    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+/* These are for computing the padding at the end of the struct to align
+   on the first member of the struct. This will probably the same as above,
+   but we don't have any guarantees.
+ */
+typedef struct { short x; char c; } __Pyx_pad_short;
+typedef struct { int x; char c; } __Pyx_pad_int;
+typedef struct { long x; char c; } __Pyx_pad_long;
+typedef struct { float x; char c; } __Pyx_pad_float;
+typedef struct { double x; char c; } __Pyx_pad_double;
+typedef struct { long double x; char c; } __Pyx_pad_longdouble;
+typedef struct { void *x; char c; } __Pyx_pad_void_p;
+#ifdef HAVE_LONG_LONG
+typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
+#endif
+static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
+    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
+    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
+#ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
+#endif
+    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
+    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
+    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
+    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
+  switch (ch) {
+    case 'c':
+        return 'H';
+    case 'b': case 'h': case 'i':
+    case 'l': case 'q': case 's': case 'p':
+        return 'I';
+    case '?': case 'B': case 'H': case 'I': case 'L': case 'Q':
+        return 'U';
+    case 'f': case 'd': case 'g':
+        return (is_complex ? 'C' : 'R');
+    case 'O':
+        return 'O';
+    case 'P':
+        return 'P';
+    default: {
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+  }
+}
+static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
+  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
+    const char* expected;
+    const char* quote;
+    if (ctx->head == NULL) {
+      expected = "end";
+      quote = "";
+    } else {
+      expected = ctx->head->field->type->name;
+      quote = "'";
+    }
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer dtype mismatch, expected %s%s%s but got %s",
+                 quote, expected, quote,
+                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
+  } else {
+    __Pyx_StructField* field = ctx->head->field;
+    __Pyx_StructField* parent = (ctx->head - 1)->field;
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
+                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
+                 parent->type->name, field->name);
+  }
+}
+static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
+  char group;
+  size_t size, offset, arraysize = 1;
+  if (ctx->enc_type == 0) return 0;
+  if (ctx->head->field->type->arraysize[0]) {
+    int i, ndim = 0;
+    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
+        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
+        ndim = 1;
+        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
+            PyErr_Format(PyExc_ValueError,
+                         "Expected a dimension of size %zu, got %zu",
+                         ctx->head->field->type->arraysize[0], ctx->enc_count);
+            return -1;
+        }
+    }
+    if (!ctx->is_valid_array) {
+      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
+                   ctx->head->field->type->ndim, ndim);
+      return -1;
+    }
+    for (i = 0; i < ctx->head->field->type->ndim; i++) {
+      arraysize *= ctx->head->field->type->arraysize[i];
+    }
+    ctx->is_valid_array = 0;
+    ctx->enc_count = 1;
+  }
+  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
+  do {
+    __Pyx_StructField* field = ctx->head->field;
+    __Pyx_TypeInfo* type = field->type;
+    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
+      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
+    } else {
+      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
+    }
+    if (ctx->enc_packmode == '@') {
+      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
+      size_t align_mod_offset;
+      if (align_at == 0) return -1;
+      align_mod_offset = ctx->fmt_offset % align_at;
+      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
+      if (ctx->struct_alignment == 0)
+          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
+                                                                 ctx->is_complex);
+    }
+    if (type->size != size || type->typegroup != group) {
+      if (type->typegroup == 'C' && type->fields != NULL) {
+        size_t parent_offset = ctx->head->parent_offset + field->offset;
+        ++ctx->head;
+        ctx->head->field = type->fields;
+        ctx->head->parent_offset = parent_offset;
+        continue;
+      }
+      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
+      } else {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return -1;
+      }
+    }
+    offset = ctx->head->parent_offset + field->offset;
+    if (ctx->fmt_offset != offset) {
+      PyErr_Format(PyExc_ValueError,
+                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
+                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
+      return -1;
+    }
+    ctx->fmt_offset += size;
+    if (arraysize)
+      ctx->fmt_offset += (arraysize - 1) * size;
+    --ctx->enc_count;
+    while (1) {
+      if (field == &ctx->root) {
+        ctx->head = NULL;
+        if (ctx->enc_count != 0) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return -1;
+        }
+        break;
+      }
+      ctx->head->field = ++field;
+      if (field->type == NULL) {
+        --ctx->head;
+        field = ctx->head->field;
+        continue;
+      } else if (field->type->typegroup == 'S') {
+        size_t parent_offset = ctx->head->parent_offset + field->offset;
+        if (field->type->fields->type == NULL) continue;
+        field = field->type->fields;
+        ++ctx->head;
+        ctx->head->field = field;
+        ctx->head->parent_offset = parent_offset;
+        break;
+      } else {
+        break;
+      }
+    }
+  } while (ctx->enc_count);
+  ctx->enc_type = 0;
+  ctx->is_complex = 0;
+  return 0;
+}
+static PyObject *
+__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
+{
+    const char *ts = *tsp;
+    int i = 0, number, ndim;
+    ++ts;
+    if (ctx->new_count != 1) {
+        PyErr_SetString(PyExc_ValueError,
+                        "Cannot handle repeated arrays in format string");
+        return NULL;
+    }
+    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+    ndim = ctx->head->field->type->ndim;
+    while (*ts && *ts != ')') {
+        switch (*ts) {
+            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
+            default:  break;
+        }
+        number = __Pyx_BufFmt_ExpectNumber(&ts);
+        if (number == -1) return NULL;
+        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
+            return PyErr_Format(PyExc_ValueError,
+                        "Expected a dimension of size %zu, got %d",
+                        ctx->head->field->type->arraysize[i], number);
+        if (*ts != ',' && *ts != ')')
+            return PyErr_Format(PyExc_ValueError,
+                                "Expected a comma in format string, got '%c'", *ts);
+        if (*ts == ',') ts++;
+        i++;
+    }
+    if (i != ndim)
+        return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
+                            ctx->head->field->type->ndim, i);
+    if (!*ts) {
+        PyErr_SetString(PyExc_ValueError,
+                        "Unexpected end of format string, expected ')'");
+        return NULL;
+    }
+    ctx->is_valid_array = 1;
+    ctx->new_count = 1;
+    *tsp = ++ts;
+    return Py_None;
+}
+static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
+  int got_Z = 0;
+  while (1) {
+    switch(*ts) {
+      case 0:
+        if (ctx->enc_type != 0 && ctx->head == NULL) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return NULL;
+        }
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        if (ctx->head != NULL) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return NULL;
+        }
+        return ts;
+      case ' ':
+      case '\r':
+      case '\n':
+        ++ts;
+        break;
+      case '<':
+        if (!__Pyx_Is_Little_Endian()) {
+          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
+          return NULL;
+        }
+        ctx->new_packmode = '=';
+        ++ts;
+        break;
+      case '>':
+      case '!':
+        if (__Pyx_Is_Little_Endian()) {
+          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
+          return NULL;
+        }
+        ctx->new_packmode = '=';
+        ++ts;
+        break;
+      case '=':
+      case '@':
+      case '^':
+        ctx->new_packmode = *ts++;
+        break;
+      case 'T':
+        {
+          const char* ts_after_sub;
+          size_t i, struct_count = ctx->new_count;
+          size_t struct_alignment = ctx->struct_alignment;
+          ctx->new_count = 1;
+          ++ts;
+          if (*ts != '{') {
+            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
+            return NULL;
+          }
+          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+          ctx->enc_type = 0;
+          ctx->enc_count = 0;
+          ctx->struct_alignment = 0;
+          ++ts;
+          ts_after_sub = ts;
+          for (i = 0; i != struct_count; ++i) {
+            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
+            if (!ts_after_sub) return NULL;
+          }
+          ts = ts_after_sub;
+          if (struct_alignment) ctx->struct_alignment = struct_alignment;
+        }
+        break;
+      case '}':
+        {
+          size_t alignment = ctx->struct_alignment;
+          ++ts;
+          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+          ctx->enc_type = 0;
+          if (alignment && ctx->fmt_offset % alignment) {
+            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
+          }
+        }
+        return ts;
+      case 'x':
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        ctx->fmt_offset += ctx->new_count;
+        ctx->new_count = 1;
+        ctx->enc_count = 0;
+        ctx->enc_type = 0;
+        ctx->enc_packmode = ctx->new_packmode;
+        ++ts;
+        break;
+      case 'Z':
+        got_Z = 1;
+        ++ts;
+        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
+          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
+          return NULL;
+        }
+        CYTHON_FALLTHROUGH;
+      case '?': case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
+      case 'l': case 'L': case 'q': case 'Q':
+      case 'f': case 'd': case 'g':
+      case 'O': case 'p':
+        if ((ctx->enc_type == *ts) && (got_Z == ctx->is_complex) &&
+            (ctx->enc_packmode == ctx->new_packmode) && (!ctx->is_valid_array)) {
+          ctx->enc_count += ctx->new_count;
+          ctx->new_count = 1;
+          got_Z = 0;
+          ++ts;
+          break;
+        }
+        CYTHON_FALLTHROUGH;
+      case 's':
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        ctx->enc_count = ctx->new_count;
+        ctx->enc_packmode = ctx->new_packmode;
+        ctx->enc_type = *ts;
+        ctx->is_complex = got_Z;
+        ++ts;
+        ctx->new_count = 1;
+        got_Z = 0;
+        break;
+      case ':':
+        ++ts;
+        while(*ts != ':') ++ts;
+        ++ts;
+        break;
+      case '(':
+        if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
+        break;
+      default:
+        {
+          int number = __Pyx_BufFmt_ExpectNumber(&ts);
+          if (number == -1) return NULL;
+          ctx->new_count = (size_t)number;
+        }
+    }
+  }
+}
+
+/* TypeInfoCompare */
+  static int
+__pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b)
+{
+    int i;
+    if (!a || !b)
+        return 0;
+    if (a == b)
+        return 1;
+    if (a->size != b->size || a->typegroup != b->typegroup ||
+            a->is_unsigned != b->is_unsigned || a->ndim != b->ndim) {
+        if (a->typegroup == 'H' || b->typegroup == 'H') {
+            return a->size == b->size;
+        } else {
+            return 0;
+        }
+    }
+    if (a->ndim) {
+        for (i = 0; i < a->ndim; i++)
+            if (a->arraysize[i] != b->arraysize[i])
+                return 0;
+    }
+    if (a->typegroup == 'S') {
+        if (a->flags != b->flags)
+            return 0;
+        if (a->fields || b->fields) {
+            if (!(a->fields && b->fields))
+                return 0;
+            for (i = 0; a->fields[i].type && b->fields[i].type; i++) {
+                __Pyx_StructField *field_a = a->fields + i;
+                __Pyx_StructField *field_b = b->fields + i;
+                if (field_a->offset != field_b->offset ||
+                    !__pyx_typeinfo_cmp(field_a->type, field_b->type))
+                    return 0;
+            }
+            return !a->fields[i].type && !b->fields[i].type;
+        }
+    }
+    return 1;
+}
+
+/* MemviewSliceValidateAndInit */
+  static int
+__pyx_check_strides(Py_buffer *buf, int dim, int ndim, int spec)
+{
+    if (buf->shape[dim] <= 1)
+        return 1;
+    if (buf->strides) {
+        if (spec & __Pyx_MEMVIEW_CONTIG) {
+            if (spec & (__Pyx_MEMVIEW_PTR|__Pyx_MEMVIEW_FULL)) {
+                if (unlikely(buf->strides[dim] != sizeof(void *))) {
+                    PyErr_Format(PyExc_ValueError,
+                                 "Buffer is not indirectly contiguous "
+                                 "in dimension %d.", dim);
+                    goto fail;
+                }
+            } else if (unlikely(buf->strides[dim] != buf->itemsize)) {
+                PyErr_SetString(PyExc_ValueError,
+                                "Buffer and memoryview are not contiguous "
+                                "in the same dimension.");
+                goto fail;
+            }
+        }
+        if (spec & __Pyx_MEMVIEW_FOLLOW) {
+            Py_ssize_t stride = buf->strides[dim];
+            if (stride < 0)
+                stride = -stride;
+            if (unlikely(stride < buf->itemsize)) {
+                PyErr_SetString(PyExc_ValueError,
+                                "Buffer and memoryview are not contiguous "
+                                "in the same dimension.");
+                goto fail;
+            }
+        }
+    } else {
+        if (unlikely(spec & __Pyx_MEMVIEW_CONTIG && dim != ndim - 1)) {
+            PyErr_Format(PyExc_ValueError,
+                         "C-contiguous buffer is not contiguous in "
+                         "dimension %d", dim);
+            goto fail;
+        } else if (unlikely(spec & (__Pyx_MEMVIEW_PTR))) {
+            PyErr_Format(PyExc_ValueError,
+                         "C-contiguous buffer is not indirect in "
+                         "dimension %d", dim);
+            goto fail;
+        } else if (unlikely(buf->suboffsets)) {
+            PyErr_SetString(PyExc_ValueError,
+                            "Buffer exposes suboffsets but no strides");
+            goto fail;
+        }
+    }
+    return 1;
+fail:
+    return 0;
+}
+static int
+__pyx_check_suboffsets(Py_buffer *buf, int dim, CYTHON_UNUSED int ndim, int spec)
+{
+    if (spec & __Pyx_MEMVIEW_DIRECT) {
+        if (unlikely(buf->suboffsets && buf->suboffsets[dim] >= 0)) {
+            PyErr_Format(PyExc_ValueError,
+                         "Buffer not compatible with direct access "
+                         "in dimension %d.", dim);
+            goto fail;
+        }
+    }
+    if (spec & __Pyx_MEMVIEW_PTR) {
+        if (unlikely(!buf->suboffsets || (buf->suboffsets[dim] < 0))) {
+            PyErr_Format(PyExc_ValueError,
+                         "Buffer is not indirectly accessible "
+                         "in dimension %d.", dim);
+            goto fail;
+        }
+    }
+    return 1;
+fail:
+    return 0;
+}
+static int
+__pyx_verify_contig(Py_buffer *buf, int ndim, int c_or_f_flag)
+{
+    int i;
+    if (c_or_f_flag & __Pyx_IS_F_CONTIG) {
+        Py_ssize_t stride = 1;
+        for (i = 0; i < ndim; i++) {
+            if (unlikely(stride * buf->itemsize != buf->strides[i]  &&  buf->shape[i] > 1)) {
+                PyErr_SetString(PyExc_ValueError,
+                    "Buffer not fortran contiguous.");
+                goto fail;
+            }
+            stride = stride * buf->shape[i];
+        }
+    } else if (c_or_f_flag & __Pyx_IS_C_CONTIG) {
+        Py_ssize_t stride = 1;
+        for (i = ndim - 1; i >- 1; i--) {
+            if (unlikely(stride * buf->itemsize != buf->strides[i]  &&  buf->shape[i] > 1)) {
+                PyErr_SetString(PyExc_ValueError,
+                    "Buffer not C contiguous.");
+                goto fail;
+            }
+            stride = stride * buf->shape[i];
+        }
+    }
+    return 1;
+fail:
+    return 0;
+}
+static int __Pyx_ValidateAndInit_memviewslice(
+                int *axes_specs,
+                int c_or_f_flag,
+                int buf_flags,
+                int ndim,
+                __Pyx_TypeInfo *dtype,
+                __Pyx_BufFmt_StackElem stack[],
+                __Pyx_memviewslice *memviewslice,
+                PyObject *original_obj)
+{
+    struct __pyx_memoryview_obj *memview, *new_memview;
+    __Pyx_RefNannyDeclarations
+    Py_buffer *buf;
+    int i, spec = 0, retval = -1;
+    __Pyx_BufFmt_Context ctx;
+    int from_memoryview = __pyx_memoryview_check(original_obj);
+    __Pyx_RefNannySetupContext("ValidateAndInit_memviewslice", 0);
+    if (from_memoryview && __pyx_typeinfo_cmp(dtype, ((struct __pyx_memoryview_obj *)
+                                                            original_obj)->typeinfo)) {
+        memview = (struct __pyx_memoryview_obj *) original_obj;
+        new_memview = NULL;
+    } else {
+        memview = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
+                                            original_obj, buf_flags, 0, dtype);
+        new_memview = memview;
+        if (unlikely(!memview))
+            goto fail;
+    }
+    buf = &memview->view;
+    if (unlikely(buf->ndim != ndim)) {
+        PyErr_Format(PyExc_ValueError,
+                "Buffer has wrong number of dimensions (expected %d, got %d)",
+                ndim, buf->ndim);
+        goto fail;
+    }
+    if (new_memview) {
+        __Pyx_BufFmt_Init(&ctx, stack, dtype);
+        if (unlikely(!__Pyx_BufFmt_CheckString(&ctx, buf->format))) goto fail;
+    }
+    if (unlikely((unsigned) buf->itemsize != dtype->size)) {
+        PyErr_Format(PyExc_ValueError,
+                     "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "u byte%s) "
+                     "does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "u byte%s)",
+                     buf->itemsize,
+                     (buf->itemsize > 1) ? "s" : "",
+                     dtype->name,
+                     dtype->size,
+                     (dtype->size > 1) ? "s" : "");
+        goto fail;
+    }
+    if (buf->len > 0) {
+        for (i = 0; i < ndim; i++) {
+            spec = axes_specs[i];
+            if (unlikely(!__pyx_check_strides(buf, i, ndim, spec)))
+                goto fail;
+            if (unlikely(!__pyx_check_suboffsets(buf, i, ndim, spec)))
+                goto fail;
+        }
+        if (unlikely(buf->strides && !__pyx_verify_contig(buf, ndim, c_or_f_flag)))
+            goto fail;
+    }
+    if (unlikely(__Pyx_init_memviewslice(memview, ndim, memviewslice,
+                                         new_memview != NULL) == -1)) {
+        goto fail;
+    }
+    retval = 0;
+    goto no_fail;
+fail:
+    Py_XDECREF(new_memview);
+    retval = -1;
+no_fail:
+    __Pyx_RefNannyFinishContext();
+    return retval;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_int(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
+                                                 &__Pyx_TypeInfo_int, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_unsigned_int(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
+                                                 &__Pyx_TypeInfo_unsigned_int, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_unsigned_int(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
+                                                 &__Pyx_TypeInfo_unsigned_int, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_char(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 3,
+                                                 &__Pyx_TypeInfo_char, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* CIntFromPyVerify */
+  #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
+    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
+#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
+    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
+#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
+    {\
+        func_type value = func_value;\
+        if (sizeof(target_type) < sizeof(func_type)) {\
+            if (unlikely(value != (func_type) (target_type) value)) {\
+                func_type zero = 0;\
+                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
+                    return (target_type) -1;\
+                if (is_unsigned && unlikely(value < zero))\
+                    goto raise_neg_overflow;\
+                else\
+                    goto raise_overflow;\
+            }\
+        }\
+        return (target_type) value;\
+    }
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_float(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
+                                                 &__Pyx_TypeInfo_float, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_short(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
+                                                 &__Pyx_TypeInfo_short, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* MemviewDtypeToObject */
+  static CYTHON_INLINE PyObject *__pyx_memview_get_unsigned_int(const char *itemp) {
+    return (PyObject *) __Pyx_PyInt_From_unsigned_int(*(unsigned int *) itemp);
+}
+static CYTHON_INLINE int __pyx_memview_set_unsigned_int(const char *itemp, PyObject *obj) {
+    unsigned int value = __Pyx_PyInt_As_unsigned_int(obj);
+    if ((value == (unsigned int)-1) && PyErr_Occurred())
+        return 0;
+    *(unsigned int *) itemp = value;
+    return 1;
+}
+
+/* MemviewDtypeToObject */
+  static CYTHON_INLINE PyObject *__pyx_memview_get_short(const char *itemp) {
+    return (PyObject *) __Pyx_PyInt_From_short(*(short *) itemp);
+}
+static CYTHON_INLINE int __pyx_memview_set_short(const char *itemp, PyObject *obj) {
+    short value = __Pyx_PyInt_As_short(obj);
+    if ((value == (short)-1) && PyErr_Occurred())
+        return 0;
+    *(short *) itemp = value;
+    return 1;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_int(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 3,
+                                                 &__Pyx_TypeInfo_int, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_int(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
+                                                 &__Pyx_TypeInfo_int, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* MemviewDtypeToObject */
+  static CYTHON_INLINE PyObject *__pyx_memview_get_char(const char *itemp) {
+    return (PyObject *) __Pyx_PyInt_From_char(*(char *) itemp);
+}
+static CYTHON_INLINE int __pyx_memview_set_char(const char *itemp, PyObject *obj) {
+    char value = __Pyx_PyInt_As_char(obj);
+    if ((value == (char)-1) && PyErr_Occurred())
+        return 0;
+    *(char *) itemp = value;
+    return 1;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_char(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
+                                                 &__Pyx_TypeInfo_char, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* MemviewDtypeToObject */
+  static CYTHON_INLINE PyObject *__pyx_memview_get_int(const char *itemp) {
+    return (PyObject *) __Pyx_PyInt_From_int(*(int *) itemp);
+}
+static CYTHON_INLINE int __pyx_memview_set_int(const char *itemp, PyObject *obj) {
+    int value = __Pyx_PyInt_As_int(obj);
+    if ((value == (int)-1) && PyErr_Occurred())
+        return 0;
+    *(int *) itemp = value;
+    return 1;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_float(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 3,
+                                                 &__Pyx_TypeInfo_float, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_float(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
+                                                 &__Pyx_TypeInfo_float, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* MemviewDtypeToObject */
+  static CYTHON_INLINE PyObject *__pyx_memview_get_float(const char *itemp) {
+    return (PyObject *) PyFloat_FromDouble(*(float *) itemp);
+}
+static CYTHON_INLINE int __pyx_memview_set_float(const char *itemp, PyObject *obj) {
+    float value = __pyx_PyFloat_AsFloat(obj);
+    if ((value == (float)-1) && PyErr_Occurred())
+        return 0;
+    *(float *) itemp = value;
+    return 1;
+}
+
+/* MemviewSliceCopyTemplate */
+  static __Pyx_memviewslice
+__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
+                                 const char *mode, int ndim,
+                                 size_t sizeof_dtype, int contig_flag,
+                                 int dtype_is_object)
+{
+    __Pyx_RefNannyDeclarations
+    int i;
+    __Pyx_memviewslice new_mvs = { 0, 0, { 0 }, { 0 }, { 0 } };
+    struct __pyx_memoryview_obj *from_memview = from_mvs->memview;
+    Py_buffer *buf = &from_memview->view;
+    PyObject *shape_tuple = NULL;
+    PyObject *temp_int = NULL;
+    struct __pyx_array_obj *array_obj = NULL;
+    struct __pyx_memoryview_obj *memview_obj = NULL;
+    __Pyx_RefNannySetupContext("__pyx_memoryview_copy_new_contig", 0);
+    for (i = 0; i < ndim; i++) {
+        if (unlikely(from_mvs->suboffsets[i] >= 0)) {
+            PyErr_Format(PyExc_ValueError, "Cannot copy memoryview slice with "
+                                           "indirect dimensions (axis %d)", i);
+            goto fail;
+        }
+    }
+    shape_tuple = PyTuple_New(ndim);
+    if (unlikely(!shape_tuple)) {
+        goto fail;
+    }
+    __Pyx_GOTREF(shape_tuple);
+    for(i = 0; i < ndim; i++) {
+        temp_int = PyInt_FromSsize_t(from_mvs->shape[i]);
+        if(unlikely(!temp_int)) {
+            goto fail;
+        } else {
+            PyTuple_SET_ITEM(shape_tuple, i, temp_int);
+            temp_int = NULL;
+        }
+    }
+    array_obj = __pyx_array_new(shape_tuple, sizeof_dtype, buf->format, (char *) mode, NULL);
+    if (unlikely(!array_obj)) {
+        goto fail;
+    }
+    __Pyx_GOTREF(array_obj);
+    memview_obj = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
+                                    (PyObject *) array_obj, contig_flag,
+                                    dtype_is_object,
+                                    from_mvs->memview->typeinfo);
+    if (unlikely(!memview_obj))
+        goto fail;
+    if (unlikely(__Pyx_init_memviewslice(memview_obj, ndim, &new_mvs, 1) < 0))
+        goto fail;
+    if (unlikely(__pyx_memoryview_copy_contents(*from_mvs, new_mvs, ndim, ndim,
+                                                dtype_is_object) < 0))
+        goto fail;
+    goto no_fail;
+fail:
+    __Pyx_XDECREF(new_mvs.memview);
+    new_mvs.memview = NULL;
+    new_mvs.data = NULL;
+no_fail:
+    __Pyx_XDECREF(shape_tuple);
+    __Pyx_XDECREF(temp_int);
+    __Pyx_XDECREF(array_obj);
+    __Pyx_RefNannyFinishContext();
+    return new_mvs;
+}
+
+/* CIntFromPy */
+  static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const int neg_one = (int) -1, const_zero = (int) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if (sizeof(int) < sizeof(long)) {
+            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (int) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (int) 0;
+                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
+                case 2:
+                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
+                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
+                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
+                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                        }
+                    }
+                    break;
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (int) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if (sizeof(int) <= sizeof(unsigned long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (int) 0;
+                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
+                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
+                case -2:
+                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
+                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case 2:
+                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
+                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case -3:
+                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
+                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
+                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case -4:
+                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
+                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
+                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+            }
+#endif
+            if (sizeof(int) <= sizeof(long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
+            PyErr_SetString(PyExc_RuntimeError,
+                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
+#else
+            int val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+ #if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+ #endif
+            if (likely(v)) {
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                int ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                              bytes, sizeof(val),
+                                              is_little, !is_unsigned);
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+#endif
+            return (int) -1;
+        }
+    } else {
+        int val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (int) -1;
+        val = __Pyx_PyInt_As_int(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to int");
+    return (int) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to int");
+    return (int) -1;
+}
+
+/* CIntToPy */
+  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const int neg_one = (int) -1, const_zero = (int) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+    if (is_unsigned) {
+        if (sizeof(int) < sizeof(long)) {
+            return PyInt_FromLong((long) value);
+        } else if (sizeof(int) <= sizeof(unsigned long)) {
+            return PyLong_FromUnsignedLong((unsigned long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
+#endif
+        }
+    } else {
+        if (sizeof(int) <= sizeof(long)) {
+            return PyInt_FromLong((long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
+            return PyLong_FromLongLong((PY_LONG_LONG) value);
+#endif
+        }
+    }
+    {
+        int one = 1; int little = (int)*(unsigned char *)&one;
+        unsigned char *bytes = (unsigned char *)&value;
+        return _PyLong_FromByteArray(bytes, sizeof(int),
+                                     little, !is_unsigned);
+    }
+}
+
+/* CIntToPy */
+  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_unsigned_int(unsigned int value) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const unsigned int neg_one = (unsigned int) -1, const_zero = (unsigned int) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+    if (is_unsigned) {
+        if (sizeof(unsigned int) < sizeof(long)) {
+            return PyInt_FromLong((long) value);
+        } else if (sizeof(unsigned int) <= sizeof(unsigned long)) {
+            return PyLong_FromUnsignedLong((unsigned long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(unsigned int) <= sizeof(unsigned PY_LONG_LONG)) {
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
+#endif
+        }
+    } else {
+        if (sizeof(unsigned int) <= sizeof(long)) {
+            return PyInt_FromLong((long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(unsigned int) <= sizeof(PY_LONG_LONG)) {
+            return PyLong_FromLongLong((PY_LONG_LONG) value);
+#endif
+        }
+    }
+    {
+        int one = 1; int little = (int)*(unsigned char *)&one;
+        unsigned char *bytes = (unsigned char *)&value;
+        return _PyLong_FromByteArray(bytes, sizeof(unsigned int),
+                                     little, !is_unsigned);
+    }
+}
+
+/* CIntFromPy */
+  static CYTHON_INLINE unsigned int __Pyx_PyInt_As_unsigned_int(PyObject *x) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const unsigned int neg_one = (unsigned int) -1, const_zero = (unsigned int) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if (sizeof(unsigned int) < sizeof(long)) {
+            __PYX_VERIFY_RETURN_INT(unsigned int, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (unsigned int) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (unsigned int) 0;
+                case  1: __PYX_VERIFY_RETURN_INT(unsigned int, digit, digits[0])
+                case 2:
+                    if (8 * sizeof(unsigned int) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(unsigned int) >= 2 * PyLong_SHIFT) {
+                            return (unsigned int) (((((unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0]));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(unsigned int) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(unsigned int) >= 3 * PyLong_SHIFT) {
+                            return (unsigned int) (((((((unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0]));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(unsigned int) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(unsigned int) >= 4 * PyLong_SHIFT) {
+                            return (unsigned int) (((((((((unsigned int)digits[3]) << PyLong_SHIFT) | (unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0]));
+                        }
+                    }
+                    break;
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (unsigned int) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if (sizeof(unsigned int) <= sizeof(unsigned long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(unsigned int, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(unsigned int) <= sizeof(unsigned PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(unsigned int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (unsigned int) 0;
+                case -1: __PYX_VERIFY_RETURN_INT(unsigned int, sdigit, (sdigit) (-(sdigit)digits[0]))
+                case  1: __PYX_VERIFY_RETURN_INT(unsigned int,  digit, +digits[0])
+                case -2:
+                    if (8 * sizeof(unsigned int) - 1 > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(unsigned int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(unsigned int) - 1 > 2 * PyLong_SHIFT) {
+                            return (unsigned int) (((unsigned int)-1)*(((((unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
+                        }
+                    }
+                    break;
+                case 2:
+                    if (8 * sizeof(unsigned int) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(unsigned int) - 1 > 2 * PyLong_SHIFT) {
+                            return (unsigned int) ((((((unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
+                        }
+                    }
+                    break;
+                case -3:
+                    if (8 * sizeof(unsigned int) - 1 > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(unsigned int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(unsigned int) - 1 > 3 * PyLong_SHIFT) {
+                            return (unsigned int) (((unsigned int)-1)*(((((((unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(unsigned int) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(unsigned int) - 1 > 3 * PyLong_SHIFT) {
+                            return (unsigned int) ((((((((unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
+                        }
+                    }
+                    break;
+                case -4:
+                    if (8 * sizeof(unsigned int) - 1 > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(unsigned int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(unsigned int) - 1 > 4 * PyLong_SHIFT) {
+                            return (unsigned int) (((unsigned int)-1)*(((((((((unsigned int)digits[3]) << PyLong_SHIFT) | (unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(unsigned int) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(unsigned int) - 1 > 4 * PyLong_SHIFT) {
+                            return (unsigned int) ((((((((((unsigned int)digits[3]) << PyLong_SHIFT) | (unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
+                        }
+                    }
+                    break;
+            }
+#endif
+            if (sizeof(unsigned int) <= sizeof(long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(unsigned int, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(unsigned int) <= sizeof(PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(unsigned int, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
+            PyErr_SetString(PyExc_RuntimeError,
+                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
+#else
+            unsigned int val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+ #if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+ #endif
+            if (likely(v)) {
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                int ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                              bytes, sizeof(val),
+                                              is_little, !is_unsigned);
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+#endif
+            return (unsigned int) -1;
+        }
+    } else {
+        unsigned int val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (unsigned int) -1;
+        val = __Pyx_PyInt_As_unsigned_int(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to unsigned int");
+    return (unsigned int) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to unsigned int");
+    return (unsigned int) -1;
+}
+
+/* CIntToPy */
+  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_short(short value) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const short neg_one = (short) -1, const_zero = (short) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+    if (is_unsigned) {
+        if (sizeof(short) < sizeof(long)) {
+            return PyInt_FromLong((long) value);
+        } else if (sizeof(short) <= sizeof(unsigned long)) {
+            return PyLong_FromUnsignedLong((unsigned long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(short) <= sizeof(unsigned PY_LONG_LONG)) {
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
+#endif
+        }
+    } else {
+        if (sizeof(short) <= sizeof(long)) {
+            return PyInt_FromLong((long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(short) <= sizeof(PY_LONG_LONG)) {
+            return PyLong_FromLongLong((PY_LONG_LONG) value);
+#endif
+        }
+    }
+    {
+        int one = 1; int little = (int)*(unsigned char *)&one;
+        unsigned char *bytes = (unsigned char *)&value;
+        return _PyLong_FromByteArray(bytes, sizeof(short),
+                                     little, !is_unsigned);
+    }
+}
+
+/* CIntFromPy */
+  static CYTHON_INLINE short __Pyx_PyInt_As_short(PyObject *x) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const short neg_one = (short) -1, const_zero = (short) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if (sizeof(short) < sizeof(long)) {
+            __PYX_VERIFY_RETURN_INT(short, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (short) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (short) 0;
+                case  1: __PYX_VERIFY_RETURN_INT(short, digit, digits[0])
+                case 2:
+                    if (8 * sizeof(short) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(short) >= 2 * PyLong_SHIFT) {
+                            return (short) (((((short)digits[1]) << PyLong_SHIFT) | (short)digits[0]));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(short) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(short) >= 3 * PyLong_SHIFT) {
+                            return (short) (((((((short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0]));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(short) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(short) >= 4 * PyLong_SHIFT) {
+                            return (short) (((((((((short)digits[3]) << PyLong_SHIFT) | (short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0]));
+                        }
+                    }
+                    break;
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (short) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if (sizeof(short) <= sizeof(unsigned long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(short, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(short) <= sizeof(unsigned PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(short, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (short) 0;
+                case -1: __PYX_VERIFY_RETURN_INT(short, sdigit, (sdigit) (-(sdigit)digits[0]))
+                case  1: __PYX_VERIFY_RETURN_INT(short,  digit, +digits[0])
+                case -2:
+                    if (8 * sizeof(short) - 1 > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(short, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(short) - 1 > 2 * PyLong_SHIFT) {
+                            return (short) (((short)-1)*(((((short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
+                        }
+                    }
+                    break;
+                case 2:
+                    if (8 * sizeof(short) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(short) - 1 > 2 * PyLong_SHIFT) {
+                            return (short) ((((((short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
+                        }
+                    }
+                    break;
+                case -3:
+                    if (8 * sizeof(short) - 1 > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(short, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(short) - 1 > 3 * PyLong_SHIFT) {
+                            return (short) (((short)-1)*(((((((short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(short) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(short) - 1 > 3 * PyLong_SHIFT) {
+                            return (short) ((((((((short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
+                        }
+                    }
+                    break;
+                case -4:
+                    if (8 * sizeof(short) - 1 > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(short, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(short) - 1 > 4 * PyLong_SHIFT) {
+                            return (short) (((short)-1)*(((((((((short)digits[3]) << PyLong_SHIFT) | (short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(short) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(short) - 1 > 4 * PyLong_SHIFT) {
+                            return (short) ((((((((((short)digits[3]) << PyLong_SHIFT) | (short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
+                        }
+                    }
+                    break;
+            }
+#endif
+            if (sizeof(short) <= sizeof(long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(short, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(short) <= sizeof(PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(short, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
+            PyErr_SetString(PyExc_RuntimeError,
+                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
+#else
+            short val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+ #if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+ #endif
+            if (likely(v)) {
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                int ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                              bytes, sizeof(val),
+                                              is_little, !is_unsigned);
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+#endif
+            return (short) -1;
+        }
+    } else {
+        short val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (short) -1;
+        val = __Pyx_PyInt_As_short(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to short");
+    return (short) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to short");
+    return (short) -1;
+}
+
+/* CIntToPy */
+  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_char(char value) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const char neg_one = (char) -1, const_zero = (char) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+    if (is_unsigned) {
+        if (sizeof(char) < sizeof(long)) {
+            return PyInt_FromLong((long) value);
+        } else if (sizeof(char) <= sizeof(unsigned long)) {
+            return PyLong_FromUnsignedLong((unsigned long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(char) <= sizeof(unsigned PY_LONG_LONG)) {
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
+#endif
+        }
+    } else {
+        if (sizeof(char) <= sizeof(long)) {
+            return PyInt_FromLong((long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(char) <= sizeof(PY_LONG_LONG)) {
+            return PyLong_FromLongLong((PY_LONG_LONG) value);
+#endif
+        }
+    }
+    {
+        int one = 1; int little = (int)*(unsigned char *)&one;
+        unsigned char *bytes = (unsigned char *)&value;
+        return _PyLong_FromByteArray(bytes, sizeof(char),
+                                     little, !is_unsigned);
+    }
+}
+
+/* CIntFromPy */
+  static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *x) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const char neg_one = (char) -1, const_zero = (char) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if (sizeof(char) < sizeof(long)) {
+            __PYX_VERIFY_RETURN_INT(char, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (char) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (char) 0;
+                case  1: __PYX_VERIFY_RETURN_INT(char, digit, digits[0])
+                case 2:
+                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) >= 2 * PyLong_SHIFT) {
+                            return (char) (((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) >= 3 * PyLong_SHIFT) {
+                            return (char) (((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) >= 4 * PyLong_SHIFT) {
+                            return (char) (((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
+                        }
+                    }
+                    break;
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (char) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if (sizeof(char) <= sizeof(unsigned long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(char) <= sizeof(unsigned PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (char) 0;
+                case -1: __PYX_VERIFY_RETURN_INT(char, sdigit, (sdigit) (-(sdigit)digits[0]))
+                case  1: __PYX_VERIFY_RETURN_INT(char,  digit, +digits[0])
+                case -2:
+                    if (8 * sizeof(char) - 1 > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
+                            return (char) (((char)-1)*(((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case 2:
+                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
+                            return (char) ((((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case -3:
+                    if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
+                            return (char) (((char)-1)*(((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
+                            return (char) ((((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case -4:
+                    if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
+                            return (char) (((char)-1)*(((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
+                            return (char) ((((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+            }
+#endif
+            if (sizeof(char) <= sizeof(long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(char, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(char) <= sizeof(PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(char, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
+            PyErr_SetString(PyExc_RuntimeError,
+                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
+#else
+            char val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+ #if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+ #endif
+            if (likely(v)) {
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                int ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                              bytes, sizeof(val),
+                                              is_little, !is_unsigned);
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+#endif
+            return (char) -1;
+        }
+    } else {
+        char val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (char) -1;
+        val = __Pyx_PyInt_As_char(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to char");
+    return (char) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to char");
+    return (char) -1;
+}
+
+/* CIntFromPy */
+  static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const long neg_one = (long) -1, const_zero = (long) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if (sizeof(long) < sizeof(long)) {
+            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (long) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (long) 0;
+                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
+                case 2:
+                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
+                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
+                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
+                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                        }
+                    }
+                    break;
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (long) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if (sizeof(long) <= sizeof(unsigned long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (long) 0;
+                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
+                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
+                case -2:
+                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case 2:
+                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case -3:
+                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case -4:
+                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+            }
+#endif
+            if (sizeof(long) <= sizeof(long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
+            PyErr_SetString(PyExc_RuntimeError,
+                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
+#else
+            long val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+ #if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+ #endif
+            if (likely(v)) {
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                int ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                              bytes, sizeof(val),
+                                              is_little, !is_unsigned);
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+#endif
+            return (long) -1;
+        }
+    } else {
+        long val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (long) -1;
+        val = __Pyx_PyInt_As_long(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to long");
+    return (long) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to long");
+    return (long) -1;
+}
+
+/* CIntToPy */
+  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const long neg_one = (long) -1, const_zero = (long) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+    if (is_unsigned) {
+        if (sizeof(long) < sizeof(long)) {
+            return PyInt_FromLong((long) value);
+        } else if (sizeof(long) <= sizeof(unsigned long)) {
+            return PyLong_FromUnsignedLong((unsigned long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
+#endif
+        }
+    } else {
+        if (sizeof(long) <= sizeof(long)) {
+            return PyInt_FromLong((long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
+            return PyLong_FromLongLong((PY_LONG_LONG) value);
+#endif
+        }
+    }
+    {
+        int one = 1; int little = (int)*(unsigned char *)&one;
+        unsigned char *bytes = (unsigned char *)&value;
+        return _PyLong_FromByteArray(bytes, sizeof(long),
+                                     little, !is_unsigned);
+    }
+}
+
+/* CheckBinaryVersion */
+  static int __Pyx_check_binary_version(void) {
+    char ctversion[4], rtversion[4];
+    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
+    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
+    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
+        char message[200];
+        PyOS_snprintf(message, sizeof(message),
+                      "compiletime version %s of module '%.100s' "
+                      "does not match runtime version %s",
+                      ctversion, __Pyx_MODULE_NAME, rtversion);
+        return PyErr_WarnEx(NULL, message, 1);
+    }
+    return 0;
+}
+
+/* InitStrings */
+  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
+    while (t->p) {
+        #if PY_MAJOR_VERSION < 3
+        if (t->is_unicode) {
+            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
+        } else if (t->intern) {
+            *t->p = PyString_InternFromString(t->s);
+        } else {
+            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
+        }
+        #else
+        if (t->is_unicode | t->is_str) {
+            if (t->intern) {
+                *t->p = PyUnicode_InternFromString(t->s);
+            } else if (t->encoding) {
+                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
+            } else {
+                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
+            }
+        } else {
+            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
+        }
+        #endif
+        if (!*t->p)
+            return -1;
+        if (PyObject_Hash(*t->p) == -1)
+            return -1;
+        ++t;
+    }
+    return 0;
+}
+
+static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
+    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
+}
+static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
+    Py_ssize_t ignore;
+    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
+}
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+#if !CYTHON_PEP393_ENABLED
+static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+    char* defenc_c;
+    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
+    if (!defenc) return NULL;
+    defenc_c = PyBytes_AS_STRING(defenc);
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+    {
+        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
+        char* c;
+        for (c = defenc_c; c < end; c++) {
+            if ((unsigned char) (*c) >= 128) {
+                PyUnicode_AsASCIIString(o);
+                return NULL;
+            }
+        }
+    }
+#endif
+    *length = PyBytes_GET_SIZE(defenc);
+    return defenc_c;
+}
+#else
+static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+    if (likely(PyUnicode_IS_ASCII(o))) {
+        *length = PyUnicode_GET_LENGTH(o);
+        return PyUnicode_AsUTF8(o);
+    } else {
+        PyUnicode_AsASCIIString(o);
+        return NULL;
+    }
+#else
+    return PyUnicode_AsUTF8AndSize(o, length);
+#endif
+}
+#endif
+#endif
+static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+    if (
+#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+            __Pyx_sys_getdefaultencoding_not_ascii &&
+#endif
+            PyUnicode_Check(o)) {
+        return __Pyx_PyUnicode_AsStringAndSize(o, length);
+    } else
+#endif
+#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
+    if (PyByteArray_Check(o)) {
+        *length = PyByteArray_GET_SIZE(o);
+        return PyByteArray_AS_STRING(o);
+    } else
+#endif
+    {
+        char* result;
+        int r = PyBytes_AsStringAndSize(o, &result, length);
+        if (unlikely(r < 0)) {
+            return NULL;
+        } else {
+            return result;
+        }
+    }
+}
+static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
+   int is_true = x == Py_True;
+   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
+   else return PyObject_IsTrue(x);
+}
+static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
+    int retval;
+    if (unlikely(!x)) return -1;
+    retval = __Pyx_PyObject_IsTrue(x);
+    Py_DECREF(x);
+    return retval;
+}
+static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
+#if PY_MAJOR_VERSION >= 3
+    if (PyLong_Check(result)) {
+        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
+                "__int__ returned non-int (type %.200s).  "
+                "The ability to return an instance of a strict subclass of int "
+                "is deprecated, and may be removed in a future version of Python.",
+                Py_TYPE(result)->tp_name)) {
+            Py_DECREF(result);
+            return NULL;
+        }
+        return result;
+    }
+#endif
+    PyErr_Format(PyExc_TypeError,
+                 "__%.4s__ returned non-%.4s (type %.200s)",
+                 type_name, type_name, Py_TYPE(result)->tp_name);
+    Py_DECREF(result);
+    return NULL;
+}
+static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
+#if CYTHON_USE_TYPE_SLOTS
+  PyNumberMethods *m;
+#endif
+  const char *name = NULL;
+  PyObject *res = NULL;
+#if PY_MAJOR_VERSION < 3
+  if (likely(PyInt_Check(x) || PyLong_Check(x)))
+#else
+  if (likely(PyLong_Check(x)))
+#endif
+    return __Pyx_NewRef(x);
+#if CYTHON_USE_TYPE_SLOTS
+  m = Py_TYPE(x)->tp_as_number;
+  #if PY_MAJOR_VERSION < 3
+  if (m && m->nb_int) {
+    name = "int";
+    res = m->nb_int(x);
+  }
+  else if (m && m->nb_long) {
+    name = "long";
+    res = m->nb_long(x);
+  }
+  #else
+  if (likely(m && m->nb_int)) {
+    name = "int";
+    res = m->nb_int(x);
+  }
+  #endif
+#else
+  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
+    res = PyNumber_Int(x);
+  }
+#endif
+  if (likely(res)) {
+#if PY_MAJOR_VERSION < 3
+    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
+#else
+    if (unlikely(!PyLong_CheckExact(res))) {
+#endif
+        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
+    }
+  }
+  else if (!PyErr_Occurred()) {
+    PyErr_SetString(PyExc_TypeError,
+                    "an integer is required");
+  }
+  return res;
+}
+static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
+  Py_ssize_t ival;
+  PyObject *x;
+#if PY_MAJOR_VERSION < 3
+  if (likely(PyInt_CheckExact(b))) {
+    if (sizeof(Py_ssize_t) >= sizeof(long))
+        return PyInt_AS_LONG(b);
+    else
+        return PyInt_AsSsize_t(b);
+  }
+#endif
+  if (likely(PyLong_CheckExact(b))) {
+    #if CYTHON_USE_PYLONG_INTERNALS
+    const digit* digits = ((PyLongObject*)b)->ob_digit;
+    const Py_ssize_t size = Py_SIZE(b);
+    if (likely(__Pyx_sst_abs(size) <= 1)) {
+        ival = likely(size) ? digits[0] : 0;
+        if (size == -1) ival = -ival;
+        return ival;
+    } else {
+      switch (size) {
+         case 2:
+           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -2:
+           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case 3:
+           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -3:
+           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case 4:
+           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -4:
+           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+      }
+    }
+    #endif
+    return PyLong_AsSsize_t(b);
+  }
+  x = PyNumber_Index(b);
+  if (!x) return -1;
+  ival = PyInt_AsSsize_t(x);
+  Py_DECREF(x);
+  return ival;
+}
+static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
+  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
+}
+static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
+    return PyInt_FromSize_t(ival);
+}
+
+
+#endif /* Py_PYTHON_H */
diff --git a/fastXPCS/fastXPCS/cython/fxpcs_sparse.pyx b/fastXPCS/fastXPCS/cython/fxpcs_sparse.pyx
new file mode 100644
index 0000000..1fdebcd
--- /dev/null
+++ b/fastXPCS/fastXPCS/cython/fxpcs_sparse.pyx
@@ -0,0 +1,269 @@
+cimport cython
+import numpy as np
+
+@cython.boundscheck(False)
+@cython.wraparound(False)
+def sparsify( int[:,::1] data):
+    
+    cdef int k = data.shape[0]
+    cdef int l = data.shape[1]
+    
+    cdef int i, j
+    
+    cdef list indices = []
+    
+    cdef int a
+    cdef unsigned int b
+    
+    ix_old = -1
+    
+    for j in range(l):
+        for i in range(k):
+
+            a = data[i,j]
+            if a:
+                b  = 0           #    16 bit         9 bit     7 bit
+                b |= (j << 16)   ####pixel#######  ###cell##  #count#
+                b |= (i << 7)
+                
+                b |=  (a & 0x7F)
+                
+                indices.append(b)
+                
+                
+                
+    return np.asarray(indices, dtype=np.uint32) 
+
+@cython.wraparound(False)
+def sparsify2(unsigned int[::1] pixels, unsigned int[:, ::1] indices, unsigned int[::1] out):
+    cdef unsigned int elem, cell, idx
+
+    for i in range(pixels.shape[0]):
+        cell = indices[1, i]
+        idx = indices[0, i]
+
+        elem = 0
+        elem |= (idx << 16)
+        elem |= (cell << 7)
+        elem |= (pixels[i] & 0x7F)
+        out[i] = elem
+
+@cython.boundscheck(False)
+@cython.wraparound(False)
+def densify( unsigned int[::1] indices,
+             tuple  size):
+    cdef int i, j
+    
+    cdef short[:,::1] A = np.zeros(size, dtype=np.int16)
+    
+    cdef int col,  val
+    cdef int  row
+    
+    for i in range(len(indices)):
+        val  = indices[i]
+        row  = (val >> 7) & 0x1FF
+        col = val >> 16
+        val &= 0x7F
+
+        A[row, col] = val
+        
+    return np.asarray(A)
+            
+    
+# @cython.boundscheck(False)
+@cython.wraparound(False)
+def twoTime( unsigned int[::1] indices,
+             unsigned int[::1] reps,
+             unsigned int[::1] indices_prev,
+             unsigned int[::1] reps_prev,
+             char[:,:,::1] mask,
+             int dim):
+    cdef unsigned int i=0, j=0, k=0
+    
+    cdef unsigned int n_reg = mask.shape[0]
+    cdef int[:,:,::1] ttc_on  = np.zeros( (n_reg, dim, dim), dtype=np.int32)
+    cdef int[:,:,::1] ttc_off = np.zeros( (n_reg, dim, dim), dtype=np.int32)
+    cdef int[:,::1]   s_on  = np.zeros( (n_reg, dim, ), dtype=np.int32)
+    cdef int[:,::1]   s_off = np.zeros( (n_reg, dim, ), dtype=np.int32)
+    cdef int[::1]     s_cnt = np.zeros( (n_reg, ), dtype=np.int32)
+    
+    cdef unsigned int col,  val, v, rmax, rmin, lst_r=0
+    cdef unsigned int rP, lst_rP = 0
+    cdef unsigned int  row, row2, val2, m
+
+    cdef int[::1] ixmsk = np.argmax(mask, axis=0).ravel().astype(np.int32)
+    cdef char[::1] cond = np.any(mask, axis=0).ravel().astype(np.int8)
+    
+    
+    
+    for j in range(reps.shape[0]):
+        r = reps[j]
+        rmax = 0 if r ==0 else r - 1
+        rmin = min(lst_r, rmax)
+        
+        val = indices[rmin]
+        
+        col = val >> 16
+
+        # prevImg
+        rP = reps_prev[j]
+
+#       rmax = 0 if rP ==0 else rP - 1
+#       rmin = min(lst_rP, rmax)
+
+#       val = indices_prev[rmin]
+#       if r and rP:
+#           assert col == (val >> 16)
+
+        if cond[col]:
+            m = ixmsk[col]
+            i = lst_r
+            while i < r:
+                val = indices[i]
+                row  = (val >> 7) & 0x1FF
+                val &= 0x7F
+
+                s_on[m,row] += val
+
+                k = i
+                while k <r:
+                    val2 = indices[k]
+                    row2  = (val2 >> 7) & 0x1FF
+                    val2 &= 0x7F
+
+                    ttc_on[m, row, row2] += val * val2
+
+                    k += 1
+
+                # prevImg
+                k = lst_rP
+                while False: # k < rP:
+                    val2 = indices_prev[k]
+                    if (val2 >> 16) == col:
+                        row2  = (val2 >> 7) & 0x1FF
+                        val2 &= 0x7F
+
+                        v = val * val2
+                        ttc_off[m, row, row2] += v
+#                       ttc_off[m, row2, row] += v
+
+                    k += 1
+
+                        
+                i += 1
+
+            i = lst_rP
+            while False: # i < rP:
+                val2 = indices_prev[i]
+                row2  = (val2 >> 7) & 0x1FF
+                val2 &= 0x7F
+                s_off[m,row2] += val2
+
+                i += 1
+
+
+        lst_r = r
+        lst_rP = rP
+            
+        
+    return np.asarray(ttc_on), np.asarray(ttc_off), np.asarray(s_on), np.asarray(s_off)
+
+
+@cython.boundscheck(False)
+@cython.wraparound(False)
+@cython.cdivision(True)
+def twoTimeSymmNorm( unsigned int[::1] indices,
+                     unsigned int[::1] reps,
+                     char[:,:,::1] mask,
+                     float[:,::1] avg,
+                     int dim):
+    cdef unsigned int i=0, j=0, k=0, k1, k2, m
+    
+    cdef int n_reg = mask.shape[0]
+    cdef float[:,:,::1] ttc = np.zeros( (n_reg, dim, dim), dtype=np.float32)
+    cdef float[::1]   nrm = np.zeros( dim, dtype=np.float32 ) 
+    
+    
+    cdef int[::1] ixmsk = np.argmax(mask, axis=0).ravel().astype(np.int32)
+    cdef char[::1] cond = np.any(mask, axis=0).ravel().astype(np.int8)
+    
+    
+    cdef unsigned int col,  val1, val2, r, rmax, rmin, lst_r = 0, col1, col2
+    cdef unsigned int  row1, row2
+    
+    cdef unsigned int j1, j2
+    
+    cdef float v, s1, s2, n
+    
+    
+    
+    for j in range(reps.shape[0]):
+        r = reps[j]
+        rmax = 0 if r ==0 else r - 1
+        rmin = min(lst_r, rmax)
+        
+        k1 = rmin
+        k2 = rmax
+        
+        val1 = indices[k1]
+        row1  = (val1 >> 7) & 0x1FF
+        val2 = indices[k2]
+        row2  = (val2 >> 7) & 0x1FF
+        
+        s1 = 0
+        s2 = 0
+        
+        col = val1 >> 16
+        
+        if cond[col]:
+            m = ixmsk[col]
+            for i in range(dim):
+                
+#                 if i == row1:
+#                     v = val1 & 0x7F
+#                     k1 = min(k1+1, rmax)
+#                     val1 = indices[k1]
+#                     row1  = (val1 >> 7) & 0x1FF
+#                 else: v = 0
+                v = avg[i, col]
+                s1 += (v-s1)/(i+1)    
+
+#                 if (dim-1-i) == row2:
+#                     v = val2 & 0x7F
+#                     k2 = max(rmin, k2-1)
+#                     val2 = indices[k2]
+#                     row2  = (val2 >> 7) & 0x1FF
+#                 else: v = 0
+
+                v = avg[dim-1-i, col]
+
+                s2 += (v-s2)/(i+1)
+
+                n = s1 * s2
+                nrm[dim-1-i] = 1/n if n > 0 else 0 
+
+            i = lst_r
+
+            while i < r:
+                val1 = indices[i]
+                col1 = val1 >> 16
+                row1  = (val1 >> 7) & 0x1FF
+                val1 &= 0x7F
+                k = i
+                while k <r:
+                    val2 = indices[k]
+                    col2 = val2 >> 16
+                    row2  = (val2 >> 7) & 0x1FF
+                    val2 &= 0x7F
+                    
+                    n = nrm[ row2 - row1 ] 
+                    ttc[m, row1, row2] += val1 * val2 * n
+
+                    k += 1
+
+                i += 1
+            
+            
+        lst_r = r
+        
+    return np.asarray(ttc)
diff --git a/fastXPCS/fastXPCS/cython/welford.c b/fastXPCS/fastXPCS/cython/welford.c
new file mode 100644
index 0000000..4f9593b
--- /dev/null
+++ b/fastXPCS/fastXPCS/cython/welford.c
@@ -0,0 +1,20991 @@
+/* Generated by Cython 0.29.24 */
+
+/* BEGIN: Cython Metadata
+{
+    "distutils": {
+        "include_dirs": [
+            ".",
+            "/scratch/midonc/karabo/extern/lib/python3.8/site-packages/numpy-1.21.4-py3.8-linux-x86_64.egg/numpy/core/include"
+        ],
+        "name": "welford",
+        "sources": [
+            "/home/midonc/git/fastxpcs/fastXPCS/cython/welford.pyx"
+        ]
+    },
+    "module_name": "welford"
+}
+END: Cython Metadata */
+
+#ifndef PY_SSIZE_T_CLEAN
+#define PY_SSIZE_T_CLEAN
+#endif /* PY_SSIZE_T_CLEAN */
+#include "Python.h"
+#ifndef Py_PYTHON_H
+    #error Python headers needed to compile C extensions, please install development version of Python.
+#elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
+    #error Cython requires Python 2.6+ or Python 3.3+.
+#else
+#define CYTHON_ABI "0_29_24"
+#define CYTHON_HEX_VERSION 0x001D18F0
+#define CYTHON_FUTURE_DIVISION 1
+#include <stddef.h>
+#ifndef offsetof
+  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
+#endif
+#if !defined(WIN32) && !defined(MS_WINDOWS)
+  #ifndef __stdcall
+    #define __stdcall
+  #endif
+  #ifndef __cdecl
+    #define __cdecl
+  #endif
+  #ifndef __fastcall
+    #define __fastcall
+  #endif
+#endif
+#ifndef DL_IMPORT
+  #define DL_IMPORT(t) t
+#endif
+#ifndef DL_EXPORT
+  #define DL_EXPORT(t) t
+#endif
+#define __PYX_COMMA ,
+#ifndef HAVE_LONG_LONG
+  #if PY_VERSION_HEX >= 0x02070000
+    #define HAVE_LONG_LONG
+  #endif
+#endif
+#ifndef PY_LONG_LONG
+  #define PY_LONG_LONG LONG_LONG
+#endif
+#ifndef Py_HUGE_VAL
+  #define Py_HUGE_VAL HUGE_VAL
+#endif
+#ifdef PYPY_VERSION
+  #define CYTHON_COMPILING_IN_PYPY 1
+  #define CYTHON_COMPILING_IN_PYSTON 0
+  #define CYTHON_COMPILING_IN_CPYTHON 0
+  #undef CYTHON_USE_TYPE_SLOTS
+  #define CYTHON_USE_TYPE_SLOTS 0
+  #undef CYTHON_USE_PYTYPE_LOOKUP
+  #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #if PY_VERSION_HEX < 0x03050000
+    #undef CYTHON_USE_ASYNC_SLOTS
+    #define CYTHON_USE_ASYNC_SLOTS 0
+  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
+    #define CYTHON_USE_ASYNC_SLOTS 1
+  #endif
+  #undef CYTHON_USE_PYLIST_INTERNALS
+  #define CYTHON_USE_PYLIST_INTERNALS 0
+  #undef CYTHON_USE_UNICODE_INTERNALS
+  #define CYTHON_USE_UNICODE_INTERNALS 0
+  #undef CYTHON_USE_UNICODE_WRITER
+  #define CYTHON_USE_UNICODE_WRITER 0
+  #undef CYTHON_USE_PYLONG_INTERNALS
+  #define CYTHON_USE_PYLONG_INTERNALS 0
+  #undef CYTHON_AVOID_BORROWED_REFS
+  #define CYTHON_AVOID_BORROWED_REFS 1
+  #undef CYTHON_ASSUME_SAFE_MACROS
+  #define CYTHON_ASSUME_SAFE_MACROS 0
+  #undef CYTHON_UNPACK_METHODS
+  #define CYTHON_UNPACK_METHODS 0
+  #undef CYTHON_FAST_THREAD_STATE
+  #define CYTHON_FAST_THREAD_STATE 0
+  #undef CYTHON_FAST_PYCALL
+  #define CYTHON_FAST_PYCALL 0
+  #undef CYTHON_PEP489_MULTI_PHASE_INIT
+  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
+  #undef CYTHON_USE_TP_FINALIZE
+  #define CYTHON_USE_TP_FINALIZE 0
+  #undef CYTHON_USE_DICT_VERSIONS
+  #define CYTHON_USE_DICT_VERSIONS 0
+  #undef CYTHON_USE_EXC_INFO_STACK
+  #define CYTHON_USE_EXC_INFO_STACK 0
+#elif defined(PYSTON_VERSION)
+  #define CYTHON_COMPILING_IN_PYPY 0
+  #define CYTHON_COMPILING_IN_PYSTON 1
+  #define CYTHON_COMPILING_IN_CPYTHON 0
+  #ifndef CYTHON_USE_TYPE_SLOTS
+    #define CYTHON_USE_TYPE_SLOTS 1
+  #endif
+  #undef CYTHON_USE_PYTYPE_LOOKUP
+  #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #undef CYTHON_USE_ASYNC_SLOTS
+  #define CYTHON_USE_ASYNC_SLOTS 0
+  #undef CYTHON_USE_PYLIST_INTERNALS
+  #define CYTHON_USE_PYLIST_INTERNALS 0
+  #ifndef CYTHON_USE_UNICODE_INTERNALS
+    #define CYTHON_USE_UNICODE_INTERNALS 1
+  #endif
+  #undef CYTHON_USE_UNICODE_WRITER
+  #define CYTHON_USE_UNICODE_WRITER 0
+  #undef CYTHON_USE_PYLONG_INTERNALS
+  #define CYTHON_USE_PYLONG_INTERNALS 0
+  #ifndef CYTHON_AVOID_BORROWED_REFS
+    #define CYTHON_AVOID_BORROWED_REFS 0
+  #endif
+  #ifndef CYTHON_ASSUME_SAFE_MACROS
+    #define CYTHON_ASSUME_SAFE_MACROS 1
+  #endif
+  #ifndef CYTHON_UNPACK_METHODS
+    #define CYTHON_UNPACK_METHODS 1
+  #endif
+  #undef CYTHON_FAST_THREAD_STATE
+  #define CYTHON_FAST_THREAD_STATE 0
+  #undef CYTHON_FAST_PYCALL
+  #define CYTHON_FAST_PYCALL 0
+  #undef CYTHON_PEP489_MULTI_PHASE_INIT
+  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
+  #undef CYTHON_USE_TP_FINALIZE
+  #define CYTHON_USE_TP_FINALIZE 0
+  #undef CYTHON_USE_DICT_VERSIONS
+  #define CYTHON_USE_DICT_VERSIONS 0
+  #undef CYTHON_USE_EXC_INFO_STACK
+  #define CYTHON_USE_EXC_INFO_STACK 0
+#else
+  #define CYTHON_COMPILING_IN_PYPY 0
+  #define CYTHON_COMPILING_IN_PYSTON 0
+  #define CYTHON_COMPILING_IN_CPYTHON 1
+  #ifndef CYTHON_USE_TYPE_SLOTS
+    #define CYTHON_USE_TYPE_SLOTS 1
+  #endif
+  #if PY_VERSION_HEX < 0x02070000
+    #undef CYTHON_USE_PYTYPE_LOOKUP
+    #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #elif !defined(CYTHON_USE_PYTYPE_LOOKUP)
+    #define CYTHON_USE_PYTYPE_LOOKUP 1
+  #endif
+  #if PY_MAJOR_VERSION < 3
+    #undef CYTHON_USE_ASYNC_SLOTS
+    #define CYTHON_USE_ASYNC_SLOTS 0
+  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
+    #define CYTHON_USE_ASYNC_SLOTS 1
+  #endif
+  #if PY_VERSION_HEX < 0x02070000
+    #undef CYTHON_USE_PYLONG_INTERNALS
+    #define CYTHON_USE_PYLONG_INTERNALS 0
+  #elif !defined(CYTHON_USE_PYLONG_INTERNALS)
+    #define CYTHON_USE_PYLONG_INTERNALS 1
+  #endif
+  #ifndef CYTHON_USE_PYLIST_INTERNALS
+    #define CYTHON_USE_PYLIST_INTERNALS 1
+  #endif
+  #ifndef CYTHON_USE_UNICODE_INTERNALS
+    #define CYTHON_USE_UNICODE_INTERNALS 1
+  #endif
+  #if PY_VERSION_HEX < 0x030300F0
+    #undef CYTHON_USE_UNICODE_WRITER
+    #define CYTHON_USE_UNICODE_WRITER 0
+  #elif !defined(CYTHON_USE_UNICODE_WRITER)
+    #define CYTHON_USE_UNICODE_WRITER 1
+  #endif
+  #ifndef CYTHON_AVOID_BORROWED_REFS
+    #define CYTHON_AVOID_BORROWED_REFS 0
+  #endif
+  #ifndef CYTHON_ASSUME_SAFE_MACROS
+    #define CYTHON_ASSUME_SAFE_MACROS 1
+  #endif
+  #ifndef CYTHON_UNPACK_METHODS
+    #define CYTHON_UNPACK_METHODS 1
+  #endif
+  #ifndef CYTHON_FAST_THREAD_STATE
+    #define CYTHON_FAST_THREAD_STATE 1
+  #endif
+  #ifndef CYTHON_FAST_PYCALL
+    #define CYTHON_FAST_PYCALL 1
+  #endif
+  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
+    #define CYTHON_PEP489_MULTI_PHASE_INIT (PY_VERSION_HEX >= 0x03050000)
+  #endif
+  #ifndef CYTHON_USE_TP_FINALIZE
+    #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1)
+  #endif
+  #ifndef CYTHON_USE_DICT_VERSIONS
+    #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1)
+  #endif
+  #ifndef CYTHON_USE_EXC_INFO_STACK
+    #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3)
+  #endif
+#endif
+#if !defined(CYTHON_FAST_PYCCALL)
+#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
+#endif
+#if CYTHON_USE_PYLONG_INTERNALS
+  #include "longintrepr.h"
+  #undef SHIFT
+  #undef BASE
+  #undef MASK
+  #ifdef SIZEOF_VOID_P
+    enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
+  #endif
+#endif
+#ifndef __has_attribute
+  #define __has_attribute(x) 0
+#endif
+#ifndef __has_cpp_attribute
+  #define __has_cpp_attribute(x) 0
+#endif
+#ifndef CYTHON_RESTRICT
+  #if defined(__GNUC__)
+    #define CYTHON_RESTRICT __restrict__
+  #elif defined(_MSC_VER) && _MSC_VER >= 1400
+    #define CYTHON_RESTRICT __restrict
+  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+    #define CYTHON_RESTRICT restrict
+  #else
+    #define CYTHON_RESTRICT
+  #endif
+#endif
+#ifndef CYTHON_UNUSED
+# if defined(__GNUC__)
+#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
+#     define CYTHON_UNUSED __attribute__ ((__unused__))
+#   else
+#     define CYTHON_UNUSED
+#   endif
+# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
+#   define CYTHON_UNUSED __attribute__ ((__unused__))
+# else
+#   define CYTHON_UNUSED
+# endif
+#endif
+#ifndef CYTHON_MAYBE_UNUSED_VAR
+#  if defined(__cplusplus)
+     template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
+#  else
+#    define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x)
+#  endif
+#endif
+#ifndef CYTHON_NCP_UNUSED
+# if CYTHON_COMPILING_IN_CPYTHON
+#  define CYTHON_NCP_UNUSED
+# else
+#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
+# endif
+#endif
+#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
+#ifdef _MSC_VER
+    #ifndef _MSC_STDINT_H_
+        #if _MSC_VER < 1300
+           typedef unsigned char     uint8_t;
+           typedef unsigned int      uint32_t;
+        #else
+           typedef unsigned __int8   uint8_t;
+           typedef unsigned __int32  uint32_t;
+        #endif
+    #endif
+#else
+   #include <stdint.h>
+#endif
+#ifndef CYTHON_FALLTHROUGH
+  #if defined(__cplusplus) && __cplusplus >= 201103L
+    #if __has_cpp_attribute(fallthrough)
+      #define CYTHON_FALLTHROUGH [[fallthrough]]
+    #elif __has_cpp_attribute(clang::fallthrough)
+      #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
+    #elif __has_cpp_attribute(gnu::fallthrough)
+      #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
+    #endif
+  #endif
+  #ifndef CYTHON_FALLTHROUGH
+    #if __has_attribute(fallthrough)
+      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
+    #else
+      #define CYTHON_FALLTHROUGH
+    #endif
+  #endif
+  #if defined(__clang__ ) && defined(__apple_build_version__)
+    #if __apple_build_version__ < 7000000
+      #undef  CYTHON_FALLTHROUGH
+      #define CYTHON_FALLTHROUGH
+    #endif
+  #endif
+#endif
+
+#ifndef CYTHON_INLINE
+  #if defined(__clang__)
+    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
+  #elif defined(__GNUC__)
+    #define CYTHON_INLINE __inline__
+  #elif defined(_MSC_VER)
+    #define CYTHON_INLINE __inline
+  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+    #define CYTHON_INLINE inline
+  #else
+    #define CYTHON_INLINE
+  #endif
+#endif
+
+#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
+  #define Py_OptimizeFlag 0
+#endif
+#define __PYX_BUILD_PY_SSIZE_T "n"
+#define CYTHON_FORMAT_SSIZE_T "z"
+#if PY_MAJOR_VERSION < 3
+  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
+  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
+          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+  #define __Pyx_DefaultClassType PyClass_Type
+#else
+  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
+#if PY_VERSION_HEX >= 0x030800A4 && PY_VERSION_HEX < 0x030800B2
+  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
+          PyCode_New(a, 0, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+#else
+  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
+          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+#endif
+  #define __Pyx_DefaultClassType PyType_Type
+#endif
+#ifndef Py_TPFLAGS_CHECKTYPES
+  #define Py_TPFLAGS_CHECKTYPES 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_INDEX
+  #define Py_TPFLAGS_HAVE_INDEX 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
+  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_FINALIZE
+  #define Py_TPFLAGS_HAVE_FINALIZE 0
+#endif
+#ifndef METH_STACKLESS
+  #define METH_STACKLESS 0
+#endif
+#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
+  #ifndef METH_FASTCALL
+     #define METH_FASTCALL 0x80
+  #endif
+  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
+  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
+                                                          Py_ssize_t nargs, PyObject *kwnames);
+#else
+  #define __Pyx_PyCFunctionFast _PyCFunctionFast
+  #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
+#endif
+#if CYTHON_FAST_PYCCALL
+#define __Pyx_PyFastCFunction_Check(func)\
+    ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)))))
+#else
+#define __Pyx_PyFastCFunction_Check(func) 0
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
+  #define PyObject_Malloc(s)   PyMem_Malloc(s)
+  #define PyObject_Free(p)     PyMem_Free(p)
+  #define PyObject_Realloc(p)  PyMem_Realloc(p)
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030400A1
+  #define PyMem_RawMalloc(n)           PyMem_Malloc(n)
+  #define PyMem_RawRealloc(p, n)       PyMem_Realloc(p, n)
+  #define PyMem_RawFree(p)             PyMem_Free(p)
+#endif
+#if CYTHON_COMPILING_IN_PYSTON
+  #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
+  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
+#else
+  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
+  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
+#endif
+#if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000
+  #define __Pyx_PyThreadState_Current PyThreadState_GET()
+#elif PY_VERSION_HEX >= 0x03060000
+  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
+#elif PY_VERSION_HEX >= 0x03000000
+  #define __Pyx_PyThreadState_Current PyThreadState_GET()
+#else
+  #define __Pyx_PyThreadState_Current _PyThreadState_Current
+#endif
+#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
+#include "pythread.h"
+#define Py_tss_NEEDS_INIT 0
+typedef int Py_tss_t;
+static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
+  *key = PyThread_create_key();
+  return 0;
+}
+static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
+  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
+  *key = Py_tss_NEEDS_INIT;
+  return key;
+}
+static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
+  PyObject_Free(key);
+}
+static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
+  return *key != Py_tss_NEEDS_INIT;
+}
+static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
+  PyThread_delete_key(*key);
+  *key = Py_tss_NEEDS_INIT;
+}
+static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
+  return PyThread_set_key_value(*key, value);
+}
+static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
+  return PyThread_get_key_value(*key);
+}
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
+#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
+#else
+#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
+#endif
+#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
+  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
+  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
+#else
+  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
+  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
+#define __Pyx_PyDict_GetItemStr(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
+#else
+#define __Pyx_PyDict_GetItemStr(dict, name)  PyDict_GetItem(dict, name)
+#endif
+#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
+  #define CYTHON_PEP393_ENABLED 1
+  #if defined(PyUnicode_IS_READY)
+  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
+                                              0 : _PyUnicode_Ready((PyObject *)(op)))
+  #else
+  #define __Pyx_PyUnicode_READY(op)       (0)
+  #endif
+  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
+  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
+  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
+  #define __Pyx_PyUnicode_KIND(u)         PyUnicode_KIND(u)
+  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
+  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
+  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
+  #if defined(PyUnicode_IS_READY) && defined(PyUnicode_GET_SIZE)
+  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
+  #else
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
+  #endif
+  #else
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
+  #endif
+#else
+  #define CYTHON_PEP393_ENABLED 0
+  #define PyUnicode_1BYTE_KIND  1
+  #define PyUnicode_2BYTE_KIND  2
+  #define PyUnicode_4BYTE_KIND  4
+  #define __Pyx_PyUnicode_READY(op)       (0)
+  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
+  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
+  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
+  #define __Pyx_PyUnicode_KIND(u)         (sizeof(Py_UNICODE))
+  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
+  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
+  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
+#endif
+#if CYTHON_COMPILING_IN_PYPY
+  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
+  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
+#else
+  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
+  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
+      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains)
+  #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
+  #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
+  #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
+#endif
+#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
+#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
+#if PY_MAJOR_VERSION >= 3
+  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
+#else
+  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
+#endif
+#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
+  #define PyObject_ASCII(o)            PyObject_Repr(o)
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyBaseString_Type            PyUnicode_Type
+  #define PyStringObject               PyUnicodeObject
+  #define PyString_Type                PyUnicode_Type
+  #define PyString_Check               PyUnicode_Check
+  #define PyString_CheckExact          PyUnicode_CheckExact
+#ifndef PyObject_Unicode
+  #define PyObject_Unicode             PyObject_Str
+#endif
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
+  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
+#else
+  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
+  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
+#endif
+#ifndef PySet_CheckExact
+  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
+#endif
+#if PY_VERSION_HEX >= 0x030900A4
+  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
+  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
+#else
+  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
+  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
+#endif
+#if CYTHON_ASSUME_SAFE_MACROS
+  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
+#else
+  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyIntObject                  PyLongObject
+  #define PyInt_Type                   PyLong_Type
+  #define PyInt_Check(op)              PyLong_Check(op)
+  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
+  #define PyInt_FromString             PyLong_FromString
+  #define PyInt_FromUnicode            PyLong_FromUnicode
+  #define PyInt_FromLong               PyLong_FromLong
+  #define PyInt_FromSize_t             PyLong_FromSize_t
+  #define PyInt_FromSsize_t            PyLong_FromSsize_t
+  #define PyInt_AsLong                 PyLong_AsLong
+  #define PyInt_AS_LONG                PyLong_AS_LONG
+  #define PyInt_AsSsize_t              PyLong_AsSsize_t
+  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
+  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
+  #define PyNumber_Int                 PyNumber_Long
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyBoolObject                 PyLongObject
+#endif
+#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
+  #ifndef PyUnicode_InternFromString
+    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
+  #endif
+#endif
+#if PY_VERSION_HEX < 0x030200A4
+  typedef long Py_hash_t;
+  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
+  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
+#else
+  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
+  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
+#else
+  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
+#endif
+#if CYTHON_USE_ASYNC_SLOTS
+  #if PY_VERSION_HEX >= 0x030500B1
+    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
+    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
+  #else
+    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
+  #endif
+#else
+  #define __Pyx_PyType_AsAsync(obj) NULL
+#endif
+#ifndef __Pyx_PyAsyncMethodsStruct
+    typedef struct {
+        unaryfunc am_await;
+        unaryfunc am_aiter;
+        unaryfunc am_anext;
+    } __Pyx_PyAsyncMethodsStruct;
+#endif
+
+#if defined(WIN32) || defined(MS_WINDOWS)
+  #define _USE_MATH_DEFINES
+#endif
+#include <math.h>
+#ifdef NAN
+#define __PYX_NAN() ((float) NAN)
+#else
+static CYTHON_INLINE float __PYX_NAN() {
+  float value;
+  memset(&value, 0xFF, sizeof(value));
+  return value;
+}
+#endif
+#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
+#define __Pyx_truncl trunc
+#else
+#define __Pyx_truncl truncl
+#endif
+
+#define __PYX_MARK_ERR_POS(f_index, lineno) \
+    { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__; (void)__pyx_clineno; }
+#define __PYX_ERR(f_index, lineno, Ln_error) \
+    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }
+
+#ifndef __PYX_EXTERN_C
+  #ifdef __cplusplus
+    #define __PYX_EXTERN_C extern "C"
+  #else
+    #define __PYX_EXTERN_C extern
+  #endif
+#endif
+
+#define __PYX_HAVE__welford
+#define __PYX_HAVE_API__welford
+/* Early includes */
+#include "pythread.h"
+#include <string.h>
+#include <stdlib.h>
+#include <stdio.h>
+#include "pystate.h"
+#ifdef _OPENMP
+#include <omp.h>
+#endif /* _OPENMP */
+
+#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
+#define CYTHON_WITHOUT_ASSERTIONS
+#endif
+
+typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
+                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;
+
+#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
+#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
+#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
+#define __PYX_DEFAULT_STRING_ENCODING ""
+#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
+#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
+#define __Pyx_uchar_cast(c) ((unsigned char)c)
+#define __Pyx_long_cast(x) ((long)x)
+#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
+    (sizeof(type) < sizeof(Py_ssize_t))  ||\
+    (sizeof(type) > sizeof(Py_ssize_t) &&\
+          likely(v < (type)PY_SSIZE_T_MAX ||\
+                 v == (type)PY_SSIZE_T_MAX)  &&\
+          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
+                                v == (type)PY_SSIZE_T_MIN)))  ||\
+    (sizeof(type) == sizeof(Py_ssize_t) &&\
+          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
+                               v == (type)PY_SSIZE_T_MAX)))  )
+static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
+    return (size_t) i < (size_t) limit;
+}
+#if defined (__cplusplus) && __cplusplus >= 201103L
+    #include <cstdlib>
+    #define __Pyx_sst_abs(value) std::abs(value)
+#elif SIZEOF_INT >= SIZEOF_SIZE_T
+    #define __Pyx_sst_abs(value) abs(value)
+#elif SIZEOF_LONG >= SIZEOF_SIZE_T
+    #define __Pyx_sst_abs(value) labs(value)
+#elif defined (_MSC_VER)
+    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
+#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+    #define __Pyx_sst_abs(value) llabs(value)
+#elif defined (__GNUC__)
+    #define __Pyx_sst_abs(value) __builtin_llabs(value)
+#else
+    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
+#endif
+static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
+static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
+#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
+#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
+#define __Pyx_PyBytes_FromString        PyBytes_FromString
+#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
+static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
+#if PY_MAJOR_VERSION < 3
+    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
+    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
+#else
+    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
+    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
+#endif
+#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
+#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
+#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
+#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
+#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
+static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
+    const Py_UNICODE *u_end = u;
+    while (*u_end++) ;
+    return (size_t)(u_end - u - 1);
+}
+#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
+#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
+#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
+#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
+#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
+static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
+static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
+static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
+static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
+#define __Pyx_PySequence_Tuple(obj)\
+    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
+static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
+static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
+#if CYTHON_ASSUME_SAFE_MACROS
+#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
+#else
+#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
+#endif
+#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
+#if PY_MAJOR_VERSION >= 3
+#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
+#else
+#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
+#endif
+#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
+#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+static int __Pyx_sys_getdefaultencoding_not_ascii;
+static int __Pyx_init_sys_getdefaultencoding_params(void) {
+    PyObject* sys;
+    PyObject* default_encoding = NULL;
+    PyObject* ascii_chars_u = NULL;
+    PyObject* ascii_chars_b = NULL;
+    const char* default_encoding_c;
+    sys = PyImport_ImportModule("sys");
+    if (!sys) goto bad;
+    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
+    Py_DECREF(sys);
+    if (!default_encoding) goto bad;
+    default_encoding_c = PyBytes_AsString(default_encoding);
+    if (!default_encoding_c) goto bad;
+    if (strcmp(default_encoding_c, "ascii") == 0) {
+        __Pyx_sys_getdefaultencoding_not_ascii = 0;
+    } else {
+        char ascii_chars[128];
+        int c;
+        for (c = 0; c < 128; c++) {
+            ascii_chars[c] = c;
+        }
+        __Pyx_sys_getdefaultencoding_not_ascii = 1;
+        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
+        if (!ascii_chars_u) goto bad;
+        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
+        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
+            PyErr_Format(
+                PyExc_ValueError,
+                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
+                default_encoding_c);
+            goto bad;
+        }
+        Py_DECREF(ascii_chars_u);
+        Py_DECREF(ascii_chars_b);
+    }
+    Py_DECREF(default_encoding);
+    return 0;
+bad:
+    Py_XDECREF(default_encoding);
+    Py_XDECREF(ascii_chars_u);
+    Py_XDECREF(ascii_chars_b);
+    return -1;
+}
+#endif
+#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
+#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
+#else
+#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
+#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+static char* __PYX_DEFAULT_STRING_ENCODING;
+static int __Pyx_init_sys_getdefaultencoding_params(void) {
+    PyObject* sys;
+    PyObject* default_encoding = NULL;
+    char* default_encoding_c;
+    sys = PyImport_ImportModule("sys");
+    if (!sys) goto bad;
+    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
+    Py_DECREF(sys);
+    if (!default_encoding) goto bad;
+    default_encoding_c = PyBytes_AsString(default_encoding);
+    if (!default_encoding_c) goto bad;
+    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
+    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
+    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
+    Py_DECREF(default_encoding);
+    return 0;
+bad:
+    Py_XDECREF(default_encoding);
+    return -1;
+}
+#endif
+#endif
+
+
+/* Test for GCC > 2.95 */
+#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
+  #define likely(x)   __builtin_expect(!!(x), 1)
+  #define unlikely(x) __builtin_expect(!!(x), 0)
+#else /* !__GNUC__ or GCC < 2.95 */
+  #define likely(x)   (x)
+  #define unlikely(x) (x)
+#endif /* __GNUC__ */
+static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
+
+static PyObject *__pyx_m = NULL;
+static PyObject *__pyx_d;
+static PyObject *__pyx_b;
+static PyObject *__pyx_cython_runtime = NULL;
+static PyObject *__pyx_empty_tuple;
+static PyObject *__pyx_empty_bytes;
+static PyObject *__pyx_empty_unicode;
+static int __pyx_lineno;
+static int __pyx_clineno = 0;
+static const char * __pyx_cfilenm= __FILE__;
+static const char *__pyx_filename;
+
+
+static const char *__pyx_f[] = {
+  "fastXPCS/cython/welford.pyx",
+  "stringsource",
+};
+/* MemviewSliceStruct.proto */
+struct __pyx_memoryview_obj;
+typedef struct {
+  struct __pyx_memoryview_obj *memview;
+  char *data;
+  Py_ssize_t shape[8];
+  Py_ssize_t strides[8];
+  Py_ssize_t suboffsets[8];
+} __Pyx_memviewslice;
+#define __Pyx_MemoryView_Len(m)  (m.shape[0])
+
+/* Atomics.proto */
+#include <pythread.h>
+#ifndef CYTHON_ATOMICS
+    #define CYTHON_ATOMICS 1
+#endif
+#define __pyx_atomic_int_type int
+#if CYTHON_ATOMICS && __GNUC__ >= 4 && (__GNUC_MINOR__ > 1 ||\
+                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL >= 2)) &&\
+                    !defined(__i386__)
+    #define __pyx_atomic_incr_aligned(value, lock) __sync_fetch_and_add(value, 1)
+    #define __pyx_atomic_decr_aligned(value, lock) __sync_fetch_and_sub(value, 1)
+    #ifdef __PYX_DEBUG_ATOMICS
+        #warning "Using GNU atomics"
+    #endif
+#elif CYTHON_ATOMICS && defined(_MSC_VER) && 0
+    #include <Windows.h>
+    #undef __pyx_atomic_int_type
+    #define __pyx_atomic_int_type LONG
+    #define __pyx_atomic_incr_aligned(value, lock) InterlockedIncrement(value)
+    #define __pyx_atomic_decr_aligned(value, lock) InterlockedDecrement(value)
+    #ifdef __PYX_DEBUG_ATOMICS
+        #pragma message ("Using MSVC atomics")
+    #endif
+#elif CYTHON_ATOMICS && (defined(__ICC) || defined(__INTEL_COMPILER)) && 0
+    #define __pyx_atomic_incr_aligned(value, lock) _InterlockedIncrement(value)
+    #define __pyx_atomic_decr_aligned(value, lock) _InterlockedDecrement(value)
+    #ifdef __PYX_DEBUG_ATOMICS
+        #warning "Using Intel atomics"
+    #endif
+#else
+    #undef CYTHON_ATOMICS
+    #define CYTHON_ATOMICS 0
+    #ifdef __PYX_DEBUG_ATOMICS
+        #warning "Not using atomics"
+    #endif
+#endif
+typedef volatile __pyx_atomic_int_type __pyx_atomic_int;
+#if CYTHON_ATOMICS
+    #define __pyx_add_acquisition_count(memview)\
+             __pyx_atomic_incr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
+    #define __pyx_sub_acquisition_count(memview)\
+            __pyx_atomic_decr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
+#else
+    #define __pyx_add_acquisition_count(memview)\
+            __pyx_add_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
+    #define __pyx_sub_acquisition_count(memview)\
+            __pyx_sub_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
+#endif
+
+/* ForceInitThreads.proto */
+#ifndef __PYX_FORCE_INIT_THREADS
+  #define __PYX_FORCE_INIT_THREADS 0
+#endif
+
+/* NoFastGil.proto */
+#define __Pyx_PyGILState_Ensure PyGILState_Ensure
+#define __Pyx_PyGILState_Release PyGILState_Release
+#define __Pyx_FastGIL_Remember()
+#define __Pyx_FastGIL_Forget()
+#define __Pyx_FastGilFuncInit()
+
+/* BufferFormatStructs.proto */
+#define IS_UNSIGNED(type) (((type) -1) > 0)
+struct __Pyx_StructField_;
+#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
+typedef struct {
+  const char* name;
+  struct __Pyx_StructField_* fields;
+  size_t size;
+  size_t arraysize[8];
+  int ndim;
+  char typegroup;
+  char is_unsigned;
+  int flags;
+} __Pyx_TypeInfo;
+typedef struct __Pyx_StructField_ {
+  __Pyx_TypeInfo* type;
+  const char* name;
+  size_t offset;
+} __Pyx_StructField;
+typedef struct {
+  __Pyx_StructField* field;
+  size_t parent_offset;
+} __Pyx_BufFmt_StackElem;
+typedef struct {
+  __Pyx_StructField root;
+  __Pyx_BufFmt_StackElem* head;
+  size_t fmt_offset;
+  size_t new_count, enc_count;
+  size_t struct_alignment;
+  int is_complex;
+  char enc_type;
+  char new_packmode;
+  char enc_packmode;
+  char is_valid_array;
+} __Pyx_BufFmt_Context;
+
+
+/*--- Type declarations ---*/
+struct __pyx_array_obj;
+struct __pyx_MemviewEnum_obj;
+struct __pyx_memoryview_obj;
+struct __pyx_memoryviewslice_obj;
+
+/* "View.MemoryView":105
+ * 
+ * @cname("__pyx_array")
+ * cdef class array:             # <<<<<<<<<<<<<<
+ * 
+ *     cdef:
+ */
+struct __pyx_array_obj {
+  PyObject_HEAD
+  struct __pyx_vtabstruct_array *__pyx_vtab;
+  char *data;
+  Py_ssize_t len;
+  char *format;
+  int ndim;
+  Py_ssize_t *_shape;
+  Py_ssize_t *_strides;
+  Py_ssize_t itemsize;
+  PyObject *mode;
+  PyObject *_format;
+  void (*callback_free_data)(void *);
+  int free_data;
+  int dtype_is_object;
+};
+
+
+/* "View.MemoryView":279
+ * 
+ * @cname('__pyx_MemviewEnum')
+ * cdef class Enum(object):             # <<<<<<<<<<<<<<
+ *     cdef object name
+ *     def __init__(self, name):
+ */
+struct __pyx_MemviewEnum_obj {
+  PyObject_HEAD
+  PyObject *name;
+};
+
+
+/* "View.MemoryView":330
+ * 
+ * @cname('__pyx_memoryview')
+ * cdef class memoryview(object):             # <<<<<<<<<<<<<<
+ * 
+ *     cdef object obj
+ */
+struct __pyx_memoryview_obj {
+  PyObject_HEAD
+  struct __pyx_vtabstruct_memoryview *__pyx_vtab;
+  PyObject *obj;
+  PyObject *_size;
+  PyObject *_array_interface;
+  PyThread_type_lock lock;
+  __pyx_atomic_int acquisition_count[2];
+  __pyx_atomic_int *acquisition_count_aligned_p;
+  Py_buffer view;
+  int flags;
+  int dtype_is_object;
+  __Pyx_TypeInfo *typeinfo;
+};
+
+
+/* "View.MemoryView":965
+ * 
+ * @cname('__pyx_memoryviewslice')
+ * cdef class _memoryviewslice(memoryview):             # <<<<<<<<<<<<<<
+ *     "Internal class for passing memoryview slices to Python"
+ * 
+ */
+struct __pyx_memoryviewslice_obj {
+  struct __pyx_memoryview_obj __pyx_base;
+  __Pyx_memviewslice from_slice;
+  PyObject *from_object;
+  PyObject *(*to_object_func)(char *);
+  int (*to_dtype_func)(char *, PyObject *);
+};
+
+
+
+/* "View.MemoryView":105
+ * 
+ * @cname("__pyx_array")
+ * cdef class array:             # <<<<<<<<<<<<<<
+ * 
+ *     cdef:
+ */
+
+struct __pyx_vtabstruct_array {
+  PyObject *(*get_memview)(struct __pyx_array_obj *);
+};
+static struct __pyx_vtabstruct_array *__pyx_vtabptr_array;
+
+
+/* "View.MemoryView":330
+ * 
+ * @cname('__pyx_memoryview')
+ * cdef class memoryview(object):             # <<<<<<<<<<<<<<
+ * 
+ *     cdef object obj
+ */
+
+struct __pyx_vtabstruct_memoryview {
+  char *(*get_item_pointer)(struct __pyx_memoryview_obj *, PyObject *);
+  PyObject *(*is_slice)(struct __pyx_memoryview_obj *, PyObject *);
+  PyObject *(*setitem_slice_assignment)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);
+  PyObject *(*setitem_slice_assign_scalar)(struct __pyx_memoryview_obj *, struct __pyx_memoryview_obj *, PyObject *);
+  PyObject *(*setitem_indexed)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);
+  PyObject *(*convert_item_to_object)(struct __pyx_memoryview_obj *, char *);
+  PyObject *(*assign_item_from_object)(struct __pyx_memoryview_obj *, char *, PyObject *);
+};
+static struct __pyx_vtabstruct_memoryview *__pyx_vtabptr_memoryview;
+
+
+/* "View.MemoryView":965
+ * 
+ * @cname('__pyx_memoryviewslice')
+ * cdef class _memoryviewslice(memoryview):             # <<<<<<<<<<<<<<
+ *     "Internal class for passing memoryview slices to Python"
+ * 
+ */
+
+struct __pyx_vtabstruct__memoryviewslice {
+  struct __pyx_vtabstruct_memoryview __pyx_base;
+};
+static struct __pyx_vtabstruct__memoryviewslice *__pyx_vtabptr__memoryviewslice;
+
+/* --- Runtime support code (head) --- */
+/* Refnanny.proto */
+#ifndef CYTHON_REFNANNY
+  #define CYTHON_REFNANNY 0
+#endif
+#if CYTHON_REFNANNY
+  typedef struct {
+    void (*INCREF)(void*, PyObject*, int);
+    void (*DECREF)(void*, PyObject*, int);
+    void (*GOTREF)(void*, PyObject*, int);
+    void (*GIVEREF)(void*, PyObject*, int);
+    void* (*SetupContext)(const char*, int, const char*);
+    void (*FinishContext)(void**);
+  } __Pyx_RefNannyAPIStruct;
+  static __Pyx_RefNannyAPIStruct *__Pyx_RefNanny = NULL;
+  static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname);
+  #define __Pyx_RefNannyDeclarations void *__pyx_refnanny = NULL;
+#ifdef WITH_THREAD
+  #define __Pyx_RefNannySetupContext(name, acquire_gil)\
+          if (acquire_gil) {\
+              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();\
+              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__);\
+              PyGILState_Release(__pyx_gilstate_save);\
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+              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__);\
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+#else
+  #define __Pyx_RefNannySetupContext(name, acquire_gil)\
+          __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__)
+#endif
+  #define __Pyx_RefNannyFinishContext()\
+          __Pyx_RefNanny->FinishContext(&__pyx_refnanny)
+  #define __Pyx_INCREF(r)  __Pyx_RefNanny->INCREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
+  #define __Pyx_DECREF(r)  __Pyx_RefNanny->DECREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
+  #define __Pyx_GOTREF(r)  __Pyx_RefNanny->GOTREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
+  #define __Pyx_GIVEREF(r) __Pyx_RefNanny->GIVEREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
+  #define __Pyx_XINCREF(r)  do { if((r) != NULL) {__Pyx_INCREF(r); }} while(0)
+  #define __Pyx_XDECREF(r)  do { if((r) != NULL) {__Pyx_DECREF(r); }} while(0)
+  #define __Pyx_XGOTREF(r)  do { if((r) != NULL) {__Pyx_GOTREF(r); }} while(0)
+  #define __Pyx_XGIVEREF(r) do { if((r) != NULL) {__Pyx_GIVEREF(r);}} while(0)
+#else
+  #define __Pyx_RefNannyDeclarations
+  #define __Pyx_RefNannySetupContext(name, acquire_gil)
+  #define __Pyx_RefNannyFinishContext()
+  #define __Pyx_INCREF(r) Py_INCREF(r)
+  #define __Pyx_DECREF(r) Py_DECREF(r)
+  #define __Pyx_GOTREF(r)
+  #define __Pyx_GIVEREF(r)
+  #define __Pyx_XINCREF(r) Py_XINCREF(r)
+  #define __Pyx_XDECREF(r) Py_XDECREF(r)
+  #define __Pyx_XGOTREF(r)
+  #define __Pyx_XGIVEREF(r)
+#endif
+#define __Pyx_XDECREF_SET(r, v) do {\
+        PyObject *tmp = (PyObject *) r;\
+        r = v; __Pyx_XDECREF(tmp);\
+    } while (0)
+#define __Pyx_DECREF_SET(r, v) do {\
+        PyObject *tmp = (PyObject *) r;\
+        r = v; __Pyx_DECREF(tmp);\
+    } while (0)
+#define __Pyx_CLEAR(r)    do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
+#define __Pyx_XCLEAR(r)   do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0)
+
+/* PyObjectGetAttrStr.proto */
+#if CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
+#else
+#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
+#endif
+
+/* GetBuiltinName.proto */
+static PyObject *__Pyx_GetBuiltinName(PyObject *name);
+
+/* RaiseArgTupleInvalid.proto */
+static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
+    Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found);
+
+/* RaiseDoubleKeywords.proto */
+static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);
+
+/* ParseKeywords.proto */
+static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
+    PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,\
+    const char* function_name);
+
+/* MemviewSliceInit.proto */
+#define __Pyx_BUF_MAX_NDIMS %(BUF_MAX_NDIMS)d
+#define __Pyx_MEMVIEW_DIRECT   1
+#define __Pyx_MEMVIEW_PTR      2
+#define __Pyx_MEMVIEW_FULL     4
+#define __Pyx_MEMVIEW_CONTIG   8
+#define __Pyx_MEMVIEW_STRIDED  16
+#define __Pyx_MEMVIEW_FOLLOW   32
+#define __Pyx_IS_C_CONTIG 1
+#define __Pyx_IS_F_CONTIG 2
+static int __Pyx_init_memviewslice(
+                struct __pyx_memoryview_obj *memview,
+                int ndim,
+                __Pyx_memviewslice *memviewslice,
+                int memview_is_new_reference);
+static CYTHON_INLINE int __pyx_add_acquisition_count_locked(
+    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);
+static CYTHON_INLINE int __pyx_sub_acquisition_count_locked(
+    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);
+#define __pyx_get_slice_count_pointer(memview) (memview->acquisition_count_aligned_p)
+#define __pyx_get_slice_count(memview) (*__pyx_get_slice_count_pointer(memview))
+#define __PYX_INC_MEMVIEW(slice, have_gil) __Pyx_INC_MEMVIEW(slice, have_gil, __LINE__)
+#define __PYX_XDEC_MEMVIEW(slice, have_gil) __Pyx_XDEC_MEMVIEW(slice, have_gil, __LINE__)
+static CYTHON_INLINE void __Pyx_INC_MEMVIEW(__Pyx_memviewslice *, int, int);
+static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *, int, int);
+
+/* ArgTypeTest.proto */
+#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
+    ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\
+        __Pyx__ArgTypeTest(obj, type, name, exact))
+static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);
+
+/* PyObjectCall.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
+#else
+#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
+#endif
+
+/* PyThreadStateGet.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
+#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
+#define __Pyx_PyErr_Occurred()  __pyx_tstate->curexc_type
+#else
+#define __Pyx_PyThreadState_declare
+#define __Pyx_PyThreadState_assign
+#define __Pyx_PyErr_Occurred()  PyErr_Occurred()
+#endif
+
+/* PyErrFetchRestore.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
+#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
+#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
+#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
+#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
+static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#if CYTHON_COMPILING_IN_CPYTHON
+#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
+#else
+#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
+#endif
+#else
+#define __Pyx_PyErr_Clear() PyErr_Clear()
+#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
+#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
+#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
+#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
+#endif
+
+/* RaiseException.proto */
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
+
+/* PyCFunctionFastCall.proto */
+#if CYTHON_FAST_PYCCALL
+static CYTHON_INLINE PyObject *__Pyx_PyCFunction_FastCall(PyObject *func, PyObject **args, Py_ssize_t nargs);
+#else
+#define __Pyx_PyCFunction_FastCall(func, args, nargs)  (assert(0), NULL)
+#endif
+
+/* PyFunctionFastCall.proto */
+#if CYTHON_FAST_PYCALL
+#define __Pyx_PyFunction_FastCall(func, args, nargs)\
+    __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL)
+#if 1 || PY_VERSION_HEX < 0x030600B1
+static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
+#else
+#define __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs) _PyFunction_FastCallDict(func, args, nargs, kwargs)
+#endif
+#define __Pyx_BUILD_ASSERT_EXPR(cond)\
+    (sizeof(char [1 - 2*!(cond)]) - 1)
+#ifndef Py_MEMBER_SIZE
+#define Py_MEMBER_SIZE(type, member) sizeof(((type *)0)->member)
+#endif
+  static size_t __pyx_pyframe_localsplus_offset = 0;
+  #include "frameobject.h"
+  #define __Pxy_PyFrame_Initialize_Offsets()\
+    ((void)__Pyx_BUILD_ASSERT_EXPR(sizeof(PyFrameObject) == offsetof(PyFrameObject, f_localsplus) + Py_MEMBER_SIZE(PyFrameObject, f_localsplus)),\
+     (void)(__pyx_pyframe_localsplus_offset = ((size_t)PyFrame_Type.tp_basicsize) - Py_MEMBER_SIZE(PyFrameObject, f_localsplus)))
+  #define __Pyx_PyFrame_GetLocalsplus(frame)\
+    (assert(__pyx_pyframe_localsplus_offset), (PyObject **)(((char *)(frame)) + __pyx_pyframe_localsplus_offset))
+#endif
+
+/* PyObjectCall2Args.proto */
+static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);
+
+/* PyObjectCallMethO.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
+#endif
+
+/* PyObjectCallOneArg.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);
+
+/* IncludeStringH.proto */
+#include <string.h>
+
+/* BytesEquals.proto */
+static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);
+
+/* UnicodeEquals.proto */
+static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);
+
+/* StrEquals.proto */
+#if PY_MAJOR_VERSION >= 3
+#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
+#else
+#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
+#endif
+
+/* None.proto */
+static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t, Py_ssize_t);
+
+/* UnaryNegOverflows.proto */
+#define UNARY_NEG_WOULD_OVERFLOW(x)\
+        (((x) < 0) & ((unsigned long)(x) == 0-(unsigned long)(x)))
+
+static CYTHON_UNUSED int __pyx_array_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
+static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *); /*proto*/
+/* GetAttr.proto */
+static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);
+
+/* GetItemInt.proto */
+#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
+    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
+    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\
+    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\
+               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
+#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
+    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
+    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
+    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
+                                                              int wraparound, int boundscheck);
+#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
+    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
+    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
+    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
+                                                              int wraparound, int boundscheck);
+static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
+                                                     int is_list, int wraparound, int boundscheck);
+
+/* ObjectGetItem.proto */
+#if CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key);
+#else
+#define __Pyx_PyObject_GetItem(obj, key)  PyObject_GetItem(obj, key)
+#endif
+
+/* decode_c_string_utf16.proto */
+static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16(const char *s, Py_ssize_t size, const char *errors) {
+    int byteorder = 0;
+    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
+}
+static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16LE(const char *s, Py_ssize_t size, const char *errors) {
+    int byteorder = -1;
+    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
+}
+static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16BE(const char *s, Py_ssize_t size, const char *errors) {
+    int byteorder = 1;
+    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
+}
+
+/* decode_c_string.proto */
+static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
+         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
+         const char* encoding, const char* errors,
+         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));
+
+/* PyErrExceptionMatches.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
+static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
+#else
+#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
+#endif
+
+/* GetAttr3.proto */
+static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);
+
+/* PyDictVersioning.proto */
+#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
+#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
+#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
+#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
+    (version_var) = __PYX_GET_DICT_VERSION(dict);\
+    (cache_var) = (value);
+#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
+    static PY_UINT64_T __pyx_dict_version = 0;\
+    static PyObject *__pyx_dict_cached_value = NULL;\
+    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
+        (VAR) = __pyx_dict_cached_value;\
+    } else {\
+        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
+        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
+    }\
+}
+static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
+static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
+static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
+#else
+#define __PYX_GET_DICT_VERSION(dict)  (0)
+#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
+#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
+#endif
+
+/* GetModuleGlobalName.proto */
+#if CYTHON_USE_DICT_VERSIONS
+#define __Pyx_GetModuleGlobalName(var, name)  {\
+    static PY_UINT64_T __pyx_dict_version = 0;\
+    static PyObject *__pyx_dict_cached_value = NULL;\
+    (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_d))) ?\
+        (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\
+        __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
+}
+#define __Pyx_GetModuleGlobalNameUncached(var, name)  {\
+    PY_UINT64_T __pyx_dict_version;\
+    PyObject *__pyx_dict_cached_value;\
+    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
+}
+static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
+#else
+#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
+#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
+static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
+#endif
+
+/* RaiseTooManyValuesToUnpack.proto */
+static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);
+
+/* RaiseNeedMoreValuesToUnpack.proto */
+static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);
+
+/* RaiseNoneIterError.proto */
+static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);
+
+/* ExtTypeTest.proto */
+static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);
+
+/* GetTopmostException.proto */
+#if CYTHON_USE_EXC_INFO_STACK
+static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
+#endif
+
+/* SaveResetException.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
+#else
+#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
+#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
+#endif
+
+/* GetException.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
+static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#else
+static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
+#endif
+
+/* SwapException.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#else
+static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
+#endif
+
+/* Import.proto */
+static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);
+
+/* FastTypeChecks.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
+static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
+#else
+#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
+#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
+#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
+#endif
+#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
+
+static CYTHON_UNUSED int __pyx_memoryview_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
+/* ListCompAppend.proto */
+#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
+static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
+    PyListObject* L = (PyListObject*) list;
+    Py_ssize_t len = Py_SIZE(list);
+    if (likely(L->allocated > len)) {
+        Py_INCREF(x);
+        PyList_SET_ITEM(list, len, x);
+        __Pyx_SET_SIZE(list, len + 1);
+        return 0;
+    }
+    return PyList_Append(list, x);
+}
+#else
+#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
+#endif
+
+/* PyIntBinop.proto */
+#if !CYTHON_COMPILING_IN_PYPY
+static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
+#else
+#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace, zerodivision_check)\
+    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
+#endif
+
+/* ListExtend.proto */
+static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v) {
+#if CYTHON_COMPILING_IN_CPYTHON
+    PyObject* none = _PyList_Extend((PyListObject*)L, v);
+    if (unlikely(!none))
+        return -1;
+    Py_DECREF(none);
+    return 0;
+#else
+    return PyList_SetSlice(L, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, v);
+#endif
+}
+
+/* ListAppend.proto */
+#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
+static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
+    PyListObject* L = (PyListObject*) list;
+    Py_ssize_t len = Py_SIZE(list);
+    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
+        Py_INCREF(x);
+        PyList_SET_ITEM(list, len, x);
+        __Pyx_SET_SIZE(list, len + 1);
+        return 0;
+    }
+    return PyList_Append(list, x);
+}
+#else
+#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
+#endif
+
+/* None.proto */
+static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);
+
+/* None.proto */
+static CYTHON_INLINE long __Pyx_div_long(long, long);
+
+/* ImportFrom.proto */
+static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);
+
+/* HasAttr.proto */
+static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);
+
+/* PyObject_GenericGetAttrNoDict.proto */
+#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
+#else
+#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
+#endif
+
+/* PyObject_GenericGetAttr.proto */
+#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
+static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
+#else
+#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
+#endif
+
+/* SetVTable.proto */
+static int __Pyx_SetVtable(PyObject *dict, void *vtable);
+
+/* PyObjectGetAttrStrNoError.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);
+
+/* SetupReduce.proto */
+static int __Pyx_setup_reduce(PyObject* type_obj);
+
+/* CLineInTraceback.proto */
+#ifdef CYTHON_CLINE_IN_TRACEBACK
+#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
+#else
+static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
+#endif
+
+/* CodeObjectCache.proto */
+typedef struct {
+    PyCodeObject* code_object;
+    int code_line;
+} __Pyx_CodeObjectCacheEntry;
+struct __Pyx_CodeObjectCache {
+    int count;
+    int max_count;
+    __Pyx_CodeObjectCacheEntry* entries;
+};
+static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
+static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
+static PyCodeObject *__pyx_find_code_object(int code_line);
+static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);
+
+/* AddTraceback.proto */
+static void __Pyx_AddTraceback(const char *funcname, int c_line,
+                               int py_line, const char *filename);
+
+#if PY_MAJOR_VERSION < 3
+    static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
+    static void __Pyx_ReleaseBuffer(Py_buffer *view);
+#else
+    #define __Pyx_GetBuffer PyObject_GetBuffer
+    #define __Pyx_ReleaseBuffer PyBuffer_Release
+#endif
+
+
+/* BufferStructDeclare.proto */
+typedef struct {
+  Py_ssize_t shape, strides, suboffsets;
+} __Pyx_Buf_DimInfo;
+typedef struct {
+  size_t refcount;
+  Py_buffer pybuffer;
+} __Pyx_Buffer;
+typedef struct {
+  __Pyx_Buffer *rcbuffer;
+  char *data;
+  __Pyx_Buf_DimInfo diminfo[8];
+} __Pyx_LocalBuf_ND;
+
+/* MemviewSliceIsContig.proto */
+static int __pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim);
+
+/* OverlappingSlices.proto */
+static int __pyx_slices_overlap(__Pyx_memviewslice *slice1,
+                                __Pyx_memviewslice *slice2,
+                                int ndim, size_t itemsize);
+
+/* Capsule.proto */
+static CYTHON_INLINE PyObject *__pyx_capsule_create(void *p, const char *sig);
+
+/* IsLittleEndian.proto */
+static CYTHON_INLINE int __Pyx_Is_Little_Endian(void);
+
+/* BufferFormatCheck.proto */
+static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts);
+static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
+                              __Pyx_BufFmt_StackElem* stack,
+                              __Pyx_TypeInfo* type);
+
+/* TypeInfoCompare.proto */
+static int __pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b);
+
+/* MemviewSliceValidateAndInit.proto */
+static int __Pyx_ValidateAndInit_memviewslice(
+                int *axes_specs,
+                int c_or_f_flag,
+                int buf_flags,
+                int ndim,
+                __Pyx_TypeInfo *dtype,
+                __Pyx_BufFmt_StackElem stack[],
+                __Pyx_memviewslice *memviewslice,
+                PyObject *original_obj);
+
+/* ObjectToMemviewSlice.proto */
+static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_float(PyObject *, int writable_flag);
+
+/* GCCDiagnostics.proto */
+#if defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
+#define __Pyx_HAS_GCC_DIAGNOSTIC
+#endif
+
+/* MemviewSliceCopyTemplate.proto */
+static __Pyx_memviewslice
+__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
+                                 const char *mode, int ndim,
+                                 size_t sizeof_dtype, int contig_flag,
+                                 int dtype_is_object);
+
+/* CIntToPy.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);
+
+/* CIntToPy.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *);
+
+/* CheckBinaryVersion.proto */
+static int __Pyx_check_binary_version(void);
+
+/* InitStrings.proto */
+static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
+
+static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *__pyx_v_self); /* proto*/
+static char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto*/
+static PyObject *__pyx_memoryview_is_slice(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj); /* proto*/
+static PyObject *__pyx_memoryview_setitem_slice_assignment(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_dst, PyObject *__pyx_v_src); /* proto*/
+static PyObject *__pyx_memoryview_setitem_slice_assign_scalar(struct __pyx_memoryview_obj *__pyx_v_self, struct __pyx_memoryview_obj *__pyx_v_dst, PyObject *__pyx_v_value); /* proto*/
+static PyObject *__pyx_memoryview_setitem_indexed(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto*/
+static PyObject *__pyx_memoryview_convert_item_to_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
+static PyObject *__pyx_memoryview_assign_item_from_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
+static PyObject *__pyx_memoryviewslice_convert_item_to_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
+static PyObject *__pyx_memoryviewslice_assign_item_from_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
+
+/* Module declarations from 'cython.view' */
+
+/* Module declarations from 'cython' */
+
+/* Module declarations from 'welford' */
+static PyTypeObject *__pyx_array_type = 0;
+static PyTypeObject *__pyx_MemviewEnum_type = 0;
+static PyTypeObject *__pyx_memoryview_type = 0;
+static PyTypeObject *__pyx_memoryviewslice_type = 0;
+static PyObject *generic = 0;
+static PyObject *strided = 0;
+static PyObject *indirect = 0;
+static PyObject *contiguous = 0;
+static PyObject *indirect_contiguous = 0;
+static int __pyx_memoryview_thread_locks_used;
+static PyThread_type_lock __pyx_memoryview_thread_locks[8];
+static PyObject *__pyx_f_7welford__wf(float *, float *, float *, float *, int); /*proto*/
+static struct __pyx_array_obj *__pyx_array_new(PyObject *, Py_ssize_t, char *, char *, char *); /*proto*/
+static void *__pyx_align_pointer(void *, size_t); /*proto*/
+static PyObject *__pyx_memoryview_new(PyObject *, int, int, __Pyx_TypeInfo *); /*proto*/
+static CYTHON_INLINE int __pyx_memoryview_check(PyObject *); /*proto*/
+static PyObject *_unellipsify(PyObject *, int); /*proto*/
+static PyObject *assert_direct_dimensions(Py_ssize_t *, int); /*proto*/
+static struct __pyx_memoryview_obj *__pyx_memview_slice(struct __pyx_memoryview_obj *, PyObject *); /*proto*/
+static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int, int); /*proto*/
+static char *__pyx_pybuffer_index(Py_buffer *, char *, Py_ssize_t, Py_ssize_t); /*proto*/
+static int __pyx_memslice_transpose(__Pyx_memviewslice *); /*proto*/
+static PyObject *__pyx_memoryview_fromslice(__Pyx_memviewslice, int, PyObject *(*)(char *), int (*)(char *, PyObject *), int); /*proto*/
+static __Pyx_memviewslice *__pyx_memoryview_get_slice_from_memoryview(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
+static void __pyx_memoryview_slice_copy(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
+static PyObject *__pyx_memoryview_copy_object(struct __pyx_memoryview_obj *); /*proto*/
+static PyObject *__pyx_memoryview_copy_object_from_slice(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
+static Py_ssize_t abs_py_ssize_t(Py_ssize_t); /*proto*/
+static char __pyx_get_best_slice_order(__Pyx_memviewslice *, int); /*proto*/
+static void _copy_strided_to_strided(char *, Py_ssize_t *, char *, Py_ssize_t *, Py_ssize_t *, Py_ssize_t *, int, size_t); /*proto*/
+static void copy_strided_to_strided(__Pyx_memviewslice *, __Pyx_memviewslice *, int, size_t); /*proto*/
+static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *, int); /*proto*/
+static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *, Py_ssize_t *, Py_ssize_t, int, char); /*proto*/
+static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *, __Pyx_memviewslice *, char, int); /*proto*/
+static int __pyx_memoryview_err_extents(int, Py_ssize_t, Py_ssize_t); /*proto*/
+static int __pyx_memoryview_err_dim(PyObject *, char *, int); /*proto*/
+static int __pyx_memoryview_err(PyObject *, char *); /*proto*/
+static int __pyx_memoryview_copy_contents(__Pyx_memviewslice, __Pyx_memviewslice, int, int, int); /*proto*/
+static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *, int, int); /*proto*/
+static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *, int, int, int); /*proto*/
+static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
+static void __pyx_memoryview_refcount_objects_in_slice(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
+static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *, int, size_t, void *, int); /*proto*/
+static void __pyx_memoryview__slice_assign_scalar(char *, Py_ssize_t *, Py_ssize_t *, int, size_t, void *); /*proto*/
+static PyObject *__pyx_unpickle_Enum__set_state(struct __pyx_MemviewEnum_obj *, PyObject *); /*proto*/
+static __Pyx_TypeInfo __Pyx_TypeInfo_float = { "float", NULL, sizeof(float), { 0 }, 0, 'R', 0, 0 };
+#define __Pyx_MODULE_NAME "welford"
+extern int __pyx_module_is_main_welford;
+int __pyx_module_is_main_welford = 0;
+
+/* Implementation of 'welford' */
+static PyObject *__pyx_builtin_range;
+static PyObject *__pyx_builtin_ValueError;
+static PyObject *__pyx_builtin_MemoryError;
+static PyObject *__pyx_builtin_enumerate;
+static PyObject *__pyx_builtin_TypeError;
+static PyObject *__pyx_builtin_Ellipsis;
+static PyObject *__pyx_builtin_id;
+static PyObject *__pyx_builtin_IndexError;
+static const char __pyx_k_O[] = "O";
+static const char __pyx_k_c[] = "c";
+static const char __pyx_k_x[] = "x";
+static const char __pyx_k_id[] = "id";
+static const char __pyx_k_avg[] = "avg";
+static const char __pyx_k_new[] = "__new__";
+static const char __pyx_k_obj[] = "obj";
+static const char __pyx_k_var[] = "var";
+static const char __pyx_k_base[] = "base";
+static const char __pyx_k_dict[] = "__dict__";
+static const char __pyx_k_main[] = "__main__";
+static const char __pyx_k_mode[] = "mode";
+static const char __pyx_k_name[] = "name";
+static const char __pyx_k_ndim[] = "ndim";
+static const char __pyx_k_pack[] = "pack";
+static const char __pyx_k_size[] = "size";
+static const char __pyx_k_step[] = "step";
+static const char __pyx_k_stop[] = "stop";
+static const char __pyx_k_test[] = "__test__";
+static const char __pyx_k_ASCII[] = "ASCII";
+static const char __pyx_k_alpha[] = "alpha";
+static const char __pyx_k_class[] = "__class__";
+static const char __pyx_k_error[] = "error";
+static const char __pyx_k_flags[] = "flags";
+static const char __pyx_k_range[] = "range";
+static const char __pyx_k_shape[] = "shape";
+static const char __pyx_k_start[] = "start";
+static const char __pyx_k_encode[] = "encode";
+static const char __pyx_k_format[] = "format";
+static const char __pyx_k_import[] = "__import__";
+static const char __pyx_k_name_2[] = "__name__";
+static const char __pyx_k_pickle[] = "pickle";
+static const char __pyx_k_reduce[] = "__reduce__";
+static const char __pyx_k_struct[] = "struct";
+static const char __pyx_k_unpack[] = "unpack";
+static const char __pyx_k_update[] = "update";
+static const char __pyx_k_fortran[] = "fortran";
+static const char __pyx_k_memview[] = "memview";
+static const char __pyx_k_welford[] = "welford";
+static const char __pyx_k_Ellipsis[] = "Ellipsis";
+static const char __pyx_k_getstate[] = "__getstate__";
+static const char __pyx_k_itemsize[] = "itemsize";
+static const char __pyx_k_pyx_type[] = "__pyx_type";
+static const char __pyx_k_setstate[] = "__setstate__";
+static const char __pyx_k_TypeError[] = "TypeError";
+static const char __pyx_k_enumerate[] = "enumerate";
+static const char __pyx_k_pyx_state[] = "__pyx_state";
+static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
+static const char __pyx_k_IndexError[] = "IndexError";
+static const char __pyx_k_ValueError[] = "ValueError";
+static const char __pyx_k_pyx_result[] = "__pyx_result";
+static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
+static const char __pyx_k_MemoryError[] = "MemoryError";
+static const char __pyx_k_PickleError[] = "PickleError";
+static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
+static const char __pyx_k_stringsource[] = "stringsource";
+static const char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";
+static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
+static const char __pyx_k_View_MemoryView[] = "View.MemoryView";
+static const char __pyx_k_allocate_buffer[] = "allocate_buffer";
+static const char __pyx_k_dtype_is_object[] = "dtype_is_object";
+static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
+static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
+static const char __pyx_k_pyx_unpickle_Enum[] = "__pyx_unpickle_Enum";
+static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
+static const char __pyx_k_strided_and_direct[] = "<strided and direct>";
+static const char __pyx_k_strided_and_indirect[] = "<strided and indirect>";
+static const char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";
+static const char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";
+static const char __pyx_k_MemoryView_of_r_at_0x_x[] = "<MemoryView of %r at 0x%x>";
+static const char __pyx_k_contiguous_and_indirect[] = "<contiguous and indirect>";
+static const char __pyx_k_Cannot_index_with_type_s[] = "Cannot index with type '%s'";
+static const char __pyx_k_Invalid_shape_in_axis_d_d[] = "Invalid shape in axis %d: %d.";
+static const char __pyx_k_fastXPCS_cython_welford_pyx[] = "fastXPCS/cython/welford.pyx";
+static const char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
+static const char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";
+static const char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";
+static const char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";
+static const char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";
+static const char __pyx_k_Cannot_assign_to_read_only_memor[] = "Cannot assign to read-only memoryview";
+static const char __pyx_k_Cannot_create_writable_memory_vi[] = "Cannot create writable memory view from read-only memoryview";
+static const char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
+static const char __pyx_k_Incompatible_checksums_s_vs_0xb0[] = "Incompatible checksums (%s vs 0xb068931 = (name))";
+static const char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
+static const char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got %s";
+static const char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %d)";
+static const char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
+static const char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %d and %d)";
+static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
+static const char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";
+static PyObject *__pyx_n_s_ASCII;
+static PyObject *__pyx_kp_s_Buffer_view_does_not_expose_stri;
+static PyObject *__pyx_kp_s_Can_only_create_a_buffer_that_is;
+static PyObject *__pyx_kp_s_Cannot_assign_to_read_only_memor;
+static PyObject *__pyx_kp_s_Cannot_create_writable_memory_vi;
+static PyObject *__pyx_kp_s_Cannot_index_with_type_s;
+static PyObject *__pyx_n_s_Ellipsis;
+static PyObject *__pyx_kp_s_Empty_shape_tuple_for_cython_arr;
+static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xb0;
+static PyObject *__pyx_n_s_IndexError;
+static PyObject *__pyx_kp_s_Indirect_dimensions_not_supporte;
+static PyObject *__pyx_kp_s_Invalid_mode_expected_c_or_fortr;
+static PyObject *__pyx_kp_s_Invalid_shape_in_axis_d_d;
+static PyObject *__pyx_n_s_MemoryError;
+static PyObject *__pyx_kp_s_MemoryView_of_r_at_0x_x;
+static PyObject *__pyx_kp_s_MemoryView_of_r_object;
+static PyObject *__pyx_n_b_O;
+static PyObject *__pyx_kp_s_Out_of_bounds_on_buffer_access_a;
+static PyObject *__pyx_n_s_PickleError;
+static PyObject *__pyx_n_s_TypeError;
+static PyObject *__pyx_kp_s_Unable_to_convert_item_to_object;
+static PyObject *__pyx_n_s_ValueError;
+static PyObject *__pyx_n_s_View_MemoryView;
+static PyObject *__pyx_n_s_allocate_buffer;
+static PyObject *__pyx_n_s_alpha;
+static PyObject *__pyx_n_s_avg;
+static PyObject *__pyx_n_s_base;
+static PyObject *__pyx_n_s_c;
+static PyObject *__pyx_n_u_c;
+static PyObject *__pyx_n_s_class;
+static PyObject *__pyx_n_s_cline_in_traceback;
+static PyObject *__pyx_kp_s_contiguous_and_direct;
+static PyObject *__pyx_kp_s_contiguous_and_indirect;
+static PyObject *__pyx_n_s_dict;
+static PyObject *__pyx_n_s_dtype_is_object;
+static PyObject *__pyx_n_s_encode;
+static PyObject *__pyx_n_s_enumerate;
+static PyObject *__pyx_n_s_error;
+static PyObject *__pyx_kp_s_fastXPCS_cython_welford_pyx;
+static PyObject *__pyx_n_s_flags;
+static PyObject *__pyx_n_s_format;
+static PyObject *__pyx_n_s_fortran;
+static PyObject *__pyx_n_u_fortran;
+static PyObject *__pyx_n_s_getstate;
+static PyObject *__pyx_kp_s_got_differing_extents_in_dimensi;
+static PyObject *__pyx_n_s_id;
+static PyObject *__pyx_n_s_import;
+static PyObject *__pyx_n_s_itemsize;
+static PyObject *__pyx_kp_s_itemsize_0_for_cython_array;
+static PyObject *__pyx_n_s_main;
+static PyObject *__pyx_n_s_memview;
+static PyObject *__pyx_n_s_mode;
+static PyObject *__pyx_n_s_name;
+static PyObject *__pyx_n_s_name_2;
+static PyObject *__pyx_n_s_ndim;
+static PyObject *__pyx_n_s_new;
+static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
+static PyObject *__pyx_n_s_obj;
+static PyObject *__pyx_n_s_pack;
+static PyObject *__pyx_n_s_pickle;
+static PyObject *__pyx_n_s_pyx_PickleError;
+static PyObject *__pyx_n_s_pyx_checksum;
+static PyObject *__pyx_n_s_pyx_getbuffer;
+static PyObject *__pyx_n_s_pyx_result;
+static PyObject *__pyx_n_s_pyx_state;
+static PyObject *__pyx_n_s_pyx_type;
+static PyObject *__pyx_n_s_pyx_unpickle_Enum;
+static PyObject *__pyx_n_s_pyx_vtable;
+static PyObject *__pyx_n_s_range;
+static PyObject *__pyx_n_s_reduce;
+static PyObject *__pyx_n_s_reduce_cython;
+static PyObject *__pyx_n_s_reduce_ex;
+static PyObject *__pyx_n_s_setstate;
+static PyObject *__pyx_n_s_setstate_cython;
+static PyObject *__pyx_n_s_shape;
+static PyObject *__pyx_n_s_size;
+static PyObject *__pyx_n_s_start;
+static PyObject *__pyx_n_s_step;
+static PyObject *__pyx_n_s_stop;
+static PyObject *__pyx_kp_s_strided_and_direct;
+static PyObject *__pyx_kp_s_strided_and_direct_or_indirect;
+static PyObject *__pyx_kp_s_strided_and_indirect;
+static PyObject *__pyx_kp_s_stringsource;
+static PyObject *__pyx_n_s_struct;
+static PyObject *__pyx_n_s_test;
+static PyObject *__pyx_kp_s_unable_to_allocate_array_data;
+static PyObject *__pyx_kp_s_unable_to_allocate_shape_and_str;
+static PyObject *__pyx_n_s_unpack;
+static PyObject *__pyx_n_s_update;
+static PyObject *__pyx_n_s_var;
+static PyObject *__pyx_n_s_welford;
+static PyObject *__pyx_n_s_x;
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+static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */
+static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
+static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */
+static Py_ssize_t __pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__len__(struct __pyx_array_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
+static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
+static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_12__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */
+static PyObject *__pyx_pf___pyx_array___reduce_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_array_2__setstate_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
+static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
+static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_MemviewEnum___reduce_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_MemviewEnum_2__setstate_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
+static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview___cinit__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj, int __pyx_v_flags, int __pyx_v_dtype_is_object); /* proto */
+static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_4__getitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto */
+static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_6__setitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */
+static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_5shape___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_7strides___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_10suboffsets___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4ndim___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_8itemsize___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_6nbytes___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4size___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static Py_ssize_t __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_10__len__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_14__str__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_16is_c_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_18is_f_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_20copy(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_22copy_fortran(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_memoryview___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_memoryview_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
+static void __pyx_memoryviewslice___pyx_pf_15View_dot_MemoryView_16_memoryviewslice___dealloc__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView_16_memoryviewslice_4base___get__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_memoryviewslice___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
+static PyObject *__pyx_pf___pyx_memoryviewslice_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
+static PyObject *__pyx_pf_15View_dot_MemoryView___pyx_unpickle_Enum(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
+static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
+static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
+static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
+static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
+static PyObject *__pyx_int_0;
+static PyObject *__pyx_int_1;
+static PyObject *__pyx_int_184977713;
+static PyObject *__pyx_int_neg_1;
+static PyObject *__pyx_tuple_;
+static PyObject *__pyx_tuple__2;
+static PyObject *__pyx_tuple__3;
+static PyObject *__pyx_tuple__4;
+static PyObject *__pyx_tuple__5;
+static PyObject *__pyx_tuple__6;
+static PyObject *__pyx_tuple__7;
+static PyObject *__pyx_tuple__8;
+static PyObject *__pyx_tuple__9;
+static PyObject *__pyx_slice__15;
+static PyObject *__pyx_tuple__10;
+static PyObject *__pyx_tuple__11;
+static PyObject *__pyx_tuple__12;
+static PyObject *__pyx_tuple__13;
+static PyObject *__pyx_tuple__14;
+static PyObject *__pyx_tuple__16;
+static PyObject *__pyx_tuple__17;
+static PyObject *__pyx_tuple__18;
+static PyObject *__pyx_tuple__19;
+static PyObject *__pyx_tuple__21;
+static PyObject *__pyx_tuple__22;
+static PyObject *__pyx_tuple__23;
+static PyObject *__pyx_tuple__24;
+static PyObject *__pyx_tuple__25;
+static PyObject *__pyx_tuple__26;
+static PyObject *__pyx_codeobj__20;
+static PyObject *__pyx_codeobj__27;
+/* Late includes */
+
+/* "welford.pyx":5
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+ * @cython.wraparound(False)
+ * def welford (float[:,:,::1] x,             # <<<<<<<<<<<<<<
+ *              float[:,:,::1] avg,
+ *              float[:,:,::1] var,
+ */
+
+/* Python wrapper */
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+  __Pyx_memviewslice __pyx_v_var = { 0, 0, { 0 }, { 0 }, { 0 } };
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+ *             have_start = index.start is not None
+ *             have_stop = index.stop is not None             # <<<<<<<<<<<<<<
+ *             have_step = index.step is not None
+ * 
+ */
+      __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_n_s_stop); if (unlikely(!__pyx_t_9)) __PYX_ERR(1, 765, __pyx_L1_error)
+      __Pyx_GOTREF(__pyx_t_9);
+      __pyx_t_1 = (__pyx_t_9 != Py_None);
+      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
+      __pyx_v_have_stop = __pyx_t_1;
+
+      /* "View.MemoryView":766
+ *             have_start = index.start is not None
+ *             have_stop = index.stop is not None
+ *             have_step = index.step is not None             # <<<<<<<<<<<<<<
+ * 
+ *             slice_memviewslice(
+ */
+      __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_n_s_step); if (unlikely(!__pyx_t_9)) __PYX_ERR(1, 766, __pyx_L1_error)
+      __Pyx_GOTREF(__pyx_t_9);
+      __pyx_t_1 = (__pyx_t_9 != Py_None);
+      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
+      __pyx_v_have_step = __pyx_t_1;
+
+      /* "View.MemoryView":768
+ *             have_step = index.step is not None
+ * 
+ *             slice_memviewslice(             # <<<<<<<<<<<<<<
+ *                 p_dst, p_src.shape[dim], p_src.strides[dim], p_src.suboffsets[dim],
+ *                 dim, new_ndim, p_suboffset_dim,
+ */
+      __pyx_t_11 = __pyx_memoryview_slice_memviewslice(__pyx_v_p_dst, (__pyx_v_p_src->shape[__pyx_v_dim]), (__pyx_v_p_src->strides[__pyx_v_dim]), (__pyx_v_p_src->suboffsets[__pyx_v_dim]), __pyx_v_dim, __pyx_v_new_ndim, __pyx_v_p_suboffset_dim, __pyx_v_start, __pyx_v_stop, __pyx_v_step, __pyx_v_have_start, __pyx_v_have_stop, __pyx_v_have_step, 1); if (unlikely(__pyx_t_11 == ((int)-1))) __PYX_ERR(1, 768, __pyx_L1_error)
+
+      /* "View.MemoryView":774
+ *                 have_start, have_stop, have_step,
+ *                 True)
+ *             new_ndim += 1             # <<<<<<<<<<<<<<
+ * 
+ *     if isinstance(memview, _memoryviewslice):
+ */
+      __pyx_v_new_ndim = (__pyx_v_new_ndim + 1);
+    }
+    __pyx_L6:;
+
+    /* "View.MemoryView":746
+ *     cdef bint have_start, have_stop, have_step
+ * 
+ *     for dim, index in enumerate(indices):             # <<<<<<<<<<<<<<
+ *         if PyIndex_Check(index):
+ *             slice_memviewslice(
+ */
+  }
+  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
+
+  /* "View.MemoryView":776
+ *             new_ndim += 1
+ * 
+ *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
+ *         return memoryview_fromslice(dst, new_ndim,
+ *                                     memviewsliceobj.to_object_func,
+ */
+  __pyx_t_1 = __Pyx_TypeCheck(((PyObject *)__pyx_v_memview), __pyx_memoryviewslice_type); 
+  __pyx_t_2 = (__pyx_t_1 != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":777
+ * 
+ *     if isinstance(memview, _memoryviewslice):
+ *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<
+ *                                     memviewsliceobj.to_object_func,
+ *                                     memviewsliceobj.to_dtype_func,
+ */
+    __Pyx_XDECREF(((PyObject *)__pyx_r));
+
+    /* "View.MemoryView":778
+ *     if isinstance(memview, _memoryviewslice):
+ *         return memoryview_fromslice(dst, new_ndim,
+ *                                     memviewsliceobj.to_object_func,             # <<<<<<<<<<<<<<
+ *                                     memviewsliceobj.to_dtype_func,
+ *                                     memview.dtype_is_object)
+ */
+    if (unlikely(!__pyx_v_memviewsliceobj)) { __Pyx_RaiseUnboundLocalError("memviewsliceobj"); __PYX_ERR(1, 778, __pyx_L1_error) }
+
+    /* "View.MemoryView":779
+ *         return memoryview_fromslice(dst, new_ndim,
+ *                                     memviewsliceobj.to_object_func,
+ *                                     memviewsliceobj.to_dtype_func,             # <<<<<<<<<<<<<<
+ *                                     memview.dtype_is_object)
+ *     else:
+ */
+    if (unlikely(!__pyx_v_memviewsliceobj)) { __Pyx_RaiseUnboundLocalError("memviewsliceobj"); __PYX_ERR(1, 779, __pyx_L1_error) }
+
+    /* "View.MemoryView":777
+ * 
+ *     if isinstance(memview, _memoryviewslice):
+ *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<
+ *                                     memviewsliceobj.to_object_func,
+ *                                     memviewsliceobj.to_dtype_func,
+ */
+    __pyx_t_3 = __pyx_memoryview_fromslice(__pyx_v_dst, __pyx_v_new_ndim, __pyx_v_memviewsliceobj->to_object_func, __pyx_v_memviewsliceobj->to_dtype_func, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_3)) __PYX_ERR(1, 777, __pyx_L1_error)
+    __Pyx_GOTREF(__pyx_t_3);
+    if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_memoryview_type))))) __PYX_ERR(1, 777, __pyx_L1_error)
+    __pyx_r = ((struct __pyx_memoryview_obj *)__pyx_t_3);
+    __pyx_t_3 = 0;
+    goto __pyx_L0;
+
+    /* "View.MemoryView":776
+ *             new_ndim += 1
+ * 
+ *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
+ *         return memoryview_fromslice(dst, new_ndim,
+ *                                     memviewsliceobj.to_object_func,
+ */
+  }
+
+  /* "View.MemoryView":782
+ *                                     memview.dtype_is_object)
+ *     else:
+ *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<
+ *                                     memview.dtype_is_object)
+ * 
+ */
+  /*else*/ {
+    __Pyx_XDECREF(((PyObject *)__pyx_r));
+
+    /* "View.MemoryView":783
+ *     else:
+ *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,
+ *                                     memview.dtype_is_object)             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+    __pyx_t_3 = __pyx_memoryview_fromslice(__pyx_v_dst, __pyx_v_new_ndim, NULL, NULL, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_3)) __PYX_ERR(1, 782, __pyx_L1_error)
+    __Pyx_GOTREF(__pyx_t_3);
+
+    /* "View.MemoryView":782
+ *                                     memview.dtype_is_object)
+ *     else:
+ *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<
+ *                                     memview.dtype_is_object)
+ * 
+ */
+    if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_memoryview_type))))) __PYX_ERR(1, 782, __pyx_L1_error)
+    __pyx_r = ((struct __pyx_memoryview_obj *)__pyx_t_3);
+    __pyx_t_3 = 0;
+    goto __pyx_L0;
+  }
+
+  /* "View.MemoryView":710
+ * 
+ * @cname('__pyx_memview_slice')
+ * cdef memoryview memview_slice(memoryview memview, object indices):             # <<<<<<<<<<<<<<
+ *     cdef int new_ndim = 0, suboffset_dim = -1, dim
+ *     cdef bint negative_step
+ */
+
+  /* function exit code */
+  __pyx_L1_error:;
+  __Pyx_XDECREF(__pyx_t_3);
+  __Pyx_XDECREF(__pyx_t_9);
+  __Pyx_AddTraceback("View.MemoryView.memview_slice", __pyx_clineno, __pyx_lineno, __pyx_filename);
+  __pyx_r = 0;
+  __pyx_L0:;
+  __Pyx_XDECREF((PyObject *)__pyx_v_memviewsliceobj);
+  __Pyx_XDECREF(__pyx_v_index);
+  __Pyx_XGIVEREF((PyObject *)__pyx_r);
+  __Pyx_RefNannyFinishContext();
+  return __pyx_r;
+}
+
+/* "View.MemoryView":807
+ * 
+ * @cname('__pyx_memoryview_slice_memviewslice')
+ * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
+ *         __Pyx_memviewslice *dst,
+ *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
+ */
+
+static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *__pyx_v_dst, Py_ssize_t __pyx_v_shape, Py_ssize_t __pyx_v_stride, Py_ssize_t __pyx_v_suboffset, int __pyx_v_dim, int __pyx_v_new_ndim, int *__pyx_v_suboffset_dim, Py_ssize_t __pyx_v_start, Py_ssize_t __pyx_v_stop, Py_ssize_t __pyx_v_step, int __pyx_v_have_start, int __pyx_v_have_stop, int __pyx_v_have_step, int __pyx_v_is_slice) {
+  Py_ssize_t __pyx_v_new_shape;
+  int __pyx_v_negative_step;
+  int __pyx_r;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  int __pyx_lineno = 0;
+  const char *__pyx_filename = NULL;
+  int __pyx_clineno = 0;
+
+  /* "View.MemoryView":827
+ *     cdef bint negative_step
+ * 
+ *     if not is_slice:             # <<<<<<<<<<<<<<
+ * 
+ *         if start < 0:
+ */
+  __pyx_t_1 = ((!(__pyx_v_is_slice != 0)) != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":829
+ *     if not is_slice:
+ * 
+ *         if start < 0:             # <<<<<<<<<<<<<<
+ *             start += shape
+ *         if not 0 <= start < shape:
+ */
+    __pyx_t_1 = ((__pyx_v_start < 0) != 0);
+    if (__pyx_t_1) {
+
+      /* "View.MemoryView":830
+ * 
+ *         if start < 0:
+ *             start += shape             # <<<<<<<<<<<<<<
+ *         if not 0 <= start < shape:
+ *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
+ */
+      __pyx_v_start = (__pyx_v_start + __pyx_v_shape);
+
+      /* "View.MemoryView":829
+ *     if not is_slice:
+ * 
+ *         if start < 0:             # <<<<<<<<<<<<<<
+ *             start += shape
+ *         if not 0 <= start < shape:
+ */
+    }
+
+    /* "View.MemoryView":831
+ *         if start < 0:
+ *             start += shape
+ *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
+ *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
+ *     else:
+ */
+    __pyx_t_1 = (0 <= __pyx_v_start);
+    if (__pyx_t_1) {
+      __pyx_t_1 = (__pyx_v_start < __pyx_v_shape);
+    }
+    __pyx_t_2 = ((!(__pyx_t_1 != 0)) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":832
+ *             start += shape
+ *         if not 0 <= start < shape:
+ *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)             # <<<<<<<<<<<<<<
+ *     else:
+ * 
+ */
+      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"Index out of bounds (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 832, __pyx_L1_error)
+
+      /* "View.MemoryView":831
+ *         if start < 0:
+ *             start += shape
+ *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
+ *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
+ *     else:
+ */
+    }
+
+    /* "View.MemoryView":827
+ *     cdef bint negative_step
+ * 
+ *     if not is_slice:             # <<<<<<<<<<<<<<
+ * 
+ *         if start < 0:
+ */
+    goto __pyx_L3;
+  }
+
+  /* "View.MemoryView":835
+ *     else:
+ * 
+ *         negative_step = have_step != 0 and step < 0             # <<<<<<<<<<<<<<
+ * 
+ *         if have_step and step == 0:
+ */
+  /*else*/ {
+    __pyx_t_1 = ((__pyx_v_have_step != 0) != 0);
+    if (__pyx_t_1) {
+    } else {
+      __pyx_t_2 = __pyx_t_1;
+      goto __pyx_L6_bool_binop_done;
+    }
+    __pyx_t_1 = ((__pyx_v_step < 0) != 0);
+    __pyx_t_2 = __pyx_t_1;
+    __pyx_L6_bool_binop_done:;
+    __pyx_v_negative_step = __pyx_t_2;
+
+    /* "View.MemoryView":837
+ *         negative_step = have_step != 0 and step < 0
+ * 
+ *         if have_step and step == 0:             # <<<<<<<<<<<<<<
+ *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
+ * 
+ */
+    __pyx_t_1 = (__pyx_v_have_step != 0);
+    if (__pyx_t_1) {
+    } else {
+      __pyx_t_2 = __pyx_t_1;
+      goto __pyx_L9_bool_binop_done;
+    }
+    __pyx_t_1 = ((__pyx_v_step == 0) != 0);
+    __pyx_t_2 = __pyx_t_1;
+    __pyx_L9_bool_binop_done:;
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":838
+ * 
+ *         if have_step and step == 0:
+ *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Step may not be zero (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 838, __pyx_L1_error)
+
+      /* "View.MemoryView":837
+ *         negative_step = have_step != 0 and step < 0
+ * 
+ *         if have_step and step == 0:             # <<<<<<<<<<<<<<
+ *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
+ * 
+ */
+    }
+
+    /* "View.MemoryView":841
+ * 
+ * 
+ *         if have_start:             # <<<<<<<<<<<<<<
+ *             if start < 0:
+ *                 start += shape
+ */
+    __pyx_t_2 = (__pyx_v_have_start != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":842
+ * 
+ *         if have_start:
+ *             if start < 0:             # <<<<<<<<<<<<<<
+ *                 start += shape
+ *                 if start < 0:
+ */
+      __pyx_t_2 = ((__pyx_v_start < 0) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":843
+ *         if have_start:
+ *             if start < 0:
+ *                 start += shape             # <<<<<<<<<<<<<<
+ *                 if start < 0:
+ *                     start = 0
+ */
+        __pyx_v_start = (__pyx_v_start + __pyx_v_shape);
+
+        /* "View.MemoryView":844
+ *             if start < 0:
+ *                 start += shape
+ *                 if start < 0:             # <<<<<<<<<<<<<<
+ *                     start = 0
+ *             elif start >= shape:
+ */
+        __pyx_t_2 = ((__pyx_v_start < 0) != 0);
+        if (__pyx_t_2) {
+
+          /* "View.MemoryView":845
+ *                 start += shape
+ *                 if start < 0:
+ *                     start = 0             # <<<<<<<<<<<<<<
+ *             elif start >= shape:
+ *                 if negative_step:
+ */
+          __pyx_v_start = 0;
+
+          /* "View.MemoryView":844
+ *             if start < 0:
+ *                 start += shape
+ *                 if start < 0:             # <<<<<<<<<<<<<<
+ *                     start = 0
+ *             elif start >= shape:
+ */
+        }
+
+        /* "View.MemoryView":842
+ * 
+ *         if have_start:
+ *             if start < 0:             # <<<<<<<<<<<<<<
+ *                 start += shape
+ *                 if start < 0:
+ */
+        goto __pyx_L12;
+      }
+
+      /* "View.MemoryView":846
+ *                 if start < 0:
+ *                     start = 0
+ *             elif start >= shape:             # <<<<<<<<<<<<<<
+ *                 if negative_step:
+ *                     start = shape - 1
+ */
+      __pyx_t_2 = ((__pyx_v_start >= __pyx_v_shape) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":847
+ *                     start = 0
+ *             elif start >= shape:
+ *                 if negative_step:             # <<<<<<<<<<<<<<
+ *                     start = shape - 1
+ *                 else:
+ */
+        __pyx_t_2 = (__pyx_v_negative_step != 0);
+        if (__pyx_t_2) {
+
+          /* "View.MemoryView":848
+ *             elif start >= shape:
+ *                 if negative_step:
+ *                     start = shape - 1             # <<<<<<<<<<<<<<
+ *                 else:
+ *                     start = shape
+ */
+          __pyx_v_start = (__pyx_v_shape - 1);
+
+          /* "View.MemoryView":847
+ *                     start = 0
+ *             elif start >= shape:
+ *                 if negative_step:             # <<<<<<<<<<<<<<
+ *                     start = shape - 1
+ *                 else:
+ */
+          goto __pyx_L14;
+        }
+
+        /* "View.MemoryView":850
+ *                     start = shape - 1
+ *                 else:
+ *                     start = shape             # <<<<<<<<<<<<<<
+ *         else:
+ *             if negative_step:
+ */
+        /*else*/ {
+          __pyx_v_start = __pyx_v_shape;
+        }
+        __pyx_L14:;
+
+        /* "View.MemoryView":846
+ *                 if start < 0:
+ *                     start = 0
+ *             elif start >= shape:             # <<<<<<<<<<<<<<
+ *                 if negative_step:
+ *                     start = shape - 1
+ */
+      }
+      __pyx_L12:;
+
+      /* "View.MemoryView":841
+ * 
+ * 
+ *         if have_start:             # <<<<<<<<<<<<<<
+ *             if start < 0:
+ *                 start += shape
+ */
+      goto __pyx_L11;
+    }
+
+    /* "View.MemoryView":852
+ *                     start = shape
+ *         else:
+ *             if negative_step:             # <<<<<<<<<<<<<<
+ *                 start = shape - 1
+ *             else:
+ */
+    /*else*/ {
+      __pyx_t_2 = (__pyx_v_negative_step != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":853
+ *         else:
+ *             if negative_step:
+ *                 start = shape - 1             # <<<<<<<<<<<<<<
+ *             else:
+ *                 start = 0
+ */
+        __pyx_v_start = (__pyx_v_shape - 1);
+
+        /* "View.MemoryView":852
+ *                     start = shape
+ *         else:
+ *             if negative_step:             # <<<<<<<<<<<<<<
+ *                 start = shape - 1
+ *             else:
+ */
+        goto __pyx_L15;
+      }
+
+      /* "View.MemoryView":855
+ *                 start = shape - 1
+ *             else:
+ *                 start = 0             # <<<<<<<<<<<<<<
+ * 
+ *         if have_stop:
+ */
+      /*else*/ {
+        __pyx_v_start = 0;
+      }
+      __pyx_L15:;
+    }
+    __pyx_L11:;
+
+    /* "View.MemoryView":857
+ *                 start = 0
+ * 
+ *         if have_stop:             # <<<<<<<<<<<<<<
+ *             if stop < 0:
+ *                 stop += shape
+ */
+    __pyx_t_2 = (__pyx_v_have_stop != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":858
+ * 
+ *         if have_stop:
+ *             if stop < 0:             # <<<<<<<<<<<<<<
+ *                 stop += shape
+ *                 if stop < 0:
+ */
+      __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":859
+ *         if have_stop:
+ *             if stop < 0:
+ *                 stop += shape             # <<<<<<<<<<<<<<
+ *                 if stop < 0:
+ *                     stop = 0
+ */
+        __pyx_v_stop = (__pyx_v_stop + __pyx_v_shape);
+
+        /* "View.MemoryView":860
+ *             if stop < 0:
+ *                 stop += shape
+ *                 if stop < 0:             # <<<<<<<<<<<<<<
+ *                     stop = 0
+ *             elif stop > shape:
+ */
+        __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
+        if (__pyx_t_2) {
+
+          /* "View.MemoryView":861
+ *                 stop += shape
+ *                 if stop < 0:
+ *                     stop = 0             # <<<<<<<<<<<<<<
+ *             elif stop > shape:
+ *                 stop = shape
+ */
+          __pyx_v_stop = 0;
+
+          /* "View.MemoryView":860
+ *             if stop < 0:
+ *                 stop += shape
+ *                 if stop < 0:             # <<<<<<<<<<<<<<
+ *                     stop = 0
+ *             elif stop > shape:
+ */
+        }
+
+        /* "View.MemoryView":858
+ * 
+ *         if have_stop:
+ *             if stop < 0:             # <<<<<<<<<<<<<<
+ *                 stop += shape
+ *                 if stop < 0:
+ */
+        goto __pyx_L17;
+      }
+
+      /* "View.MemoryView":862
+ *                 if stop < 0:
+ *                     stop = 0
+ *             elif stop > shape:             # <<<<<<<<<<<<<<
+ *                 stop = shape
+ *         else:
+ */
+      __pyx_t_2 = ((__pyx_v_stop > __pyx_v_shape) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":863
+ *                     stop = 0
+ *             elif stop > shape:
+ *                 stop = shape             # <<<<<<<<<<<<<<
+ *         else:
+ *             if negative_step:
+ */
+        __pyx_v_stop = __pyx_v_shape;
+
+        /* "View.MemoryView":862
+ *                 if stop < 0:
+ *                     stop = 0
+ *             elif stop > shape:             # <<<<<<<<<<<<<<
+ *                 stop = shape
+ *         else:
+ */
+      }
+      __pyx_L17:;
+
+      /* "View.MemoryView":857
+ *                 start = 0
+ * 
+ *         if have_stop:             # <<<<<<<<<<<<<<
+ *             if stop < 0:
+ *                 stop += shape
+ */
+      goto __pyx_L16;
+    }
+
+    /* "View.MemoryView":865
+ *                 stop = shape
+ *         else:
+ *             if negative_step:             # <<<<<<<<<<<<<<
+ *                 stop = -1
+ *             else:
+ */
+    /*else*/ {
+      __pyx_t_2 = (__pyx_v_negative_step != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":866
+ *         else:
+ *             if negative_step:
+ *                 stop = -1             # <<<<<<<<<<<<<<
+ *             else:
+ *                 stop = shape
+ */
+        __pyx_v_stop = -1L;
+
+        /* "View.MemoryView":865
+ *                 stop = shape
+ *         else:
+ *             if negative_step:             # <<<<<<<<<<<<<<
+ *                 stop = -1
+ *             else:
+ */
+        goto __pyx_L19;
+      }
+
+      /* "View.MemoryView":868
+ *                 stop = -1
+ *             else:
+ *                 stop = shape             # <<<<<<<<<<<<<<
+ * 
+ *         if not have_step:
+ */
+      /*else*/ {
+        __pyx_v_stop = __pyx_v_shape;
+      }
+      __pyx_L19:;
+    }
+    __pyx_L16:;
+
+    /* "View.MemoryView":870
+ *                 stop = shape
+ * 
+ *         if not have_step:             # <<<<<<<<<<<<<<
+ *             step = 1
+ * 
+ */
+    __pyx_t_2 = ((!(__pyx_v_have_step != 0)) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":871
+ * 
+ *         if not have_step:
+ *             step = 1             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+      __pyx_v_step = 1;
+
+      /* "View.MemoryView":870
+ *                 stop = shape
+ * 
+ *         if not have_step:             # <<<<<<<<<<<<<<
+ *             step = 1
+ * 
+ */
+    }
+
+    /* "View.MemoryView":875
+ * 
+ *         with cython.cdivision(True):
+ *             new_shape = (stop - start) // step             # <<<<<<<<<<<<<<
+ * 
+ *             if (stop - start) - step * new_shape:
+ */
+    __pyx_v_new_shape = ((__pyx_v_stop - __pyx_v_start) / __pyx_v_step);
+
+    /* "View.MemoryView":877
+ *             new_shape = (stop - start) // step
+ * 
+ *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
+ *                 new_shape += 1
+ * 
+ */
+    __pyx_t_2 = (((__pyx_v_stop - __pyx_v_start) - (__pyx_v_step * __pyx_v_new_shape)) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":878
+ * 
+ *             if (stop - start) - step * new_shape:
+ *                 new_shape += 1             # <<<<<<<<<<<<<<
+ * 
+ *         if new_shape < 0:
+ */
+      __pyx_v_new_shape = (__pyx_v_new_shape + 1);
+
+      /* "View.MemoryView":877
+ *             new_shape = (stop - start) // step
+ * 
+ *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
+ *                 new_shape += 1
+ * 
+ */
+    }
+
+    /* "View.MemoryView":880
+ *                 new_shape += 1
+ * 
+ *         if new_shape < 0:             # <<<<<<<<<<<<<<
+ *             new_shape = 0
+ * 
+ */
+    __pyx_t_2 = ((__pyx_v_new_shape < 0) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":881
+ * 
+ *         if new_shape < 0:
+ *             new_shape = 0             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+      __pyx_v_new_shape = 0;
+
+      /* "View.MemoryView":880
+ *                 new_shape += 1
+ * 
+ *         if new_shape < 0:             # <<<<<<<<<<<<<<
+ *             new_shape = 0
+ * 
+ */
+    }
+
+    /* "View.MemoryView":884
+ * 
+ * 
+ *         dst.strides[new_ndim] = stride * step             # <<<<<<<<<<<<<<
+ *         dst.shape[new_ndim] = new_shape
+ *         dst.suboffsets[new_ndim] = suboffset
+ */
+    (__pyx_v_dst->strides[__pyx_v_new_ndim]) = (__pyx_v_stride * __pyx_v_step);
+
+    /* "View.MemoryView":885
+ * 
+ *         dst.strides[new_ndim] = stride * step
+ *         dst.shape[new_ndim] = new_shape             # <<<<<<<<<<<<<<
+ *         dst.suboffsets[new_ndim] = suboffset
+ * 
+ */
+    (__pyx_v_dst->shape[__pyx_v_new_ndim]) = __pyx_v_new_shape;
+
+    /* "View.MemoryView":886
+ *         dst.strides[new_ndim] = stride * step
+ *         dst.shape[new_ndim] = new_shape
+ *         dst.suboffsets[new_ndim] = suboffset             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+    (__pyx_v_dst->suboffsets[__pyx_v_new_ndim]) = __pyx_v_suboffset;
+  }
+  __pyx_L3:;
+
+  /* "View.MemoryView":889
+ * 
+ * 
+ *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
+ *         dst.data += start * stride
+ *     else:
+ */
+  __pyx_t_2 = (((__pyx_v_suboffset_dim[0]) < 0) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":890
+ * 
+ *     if suboffset_dim[0] < 0:
+ *         dst.data += start * stride             # <<<<<<<<<<<<<<
+ *     else:
+ *         dst.suboffsets[suboffset_dim[0]] += start * stride
+ */
+    __pyx_v_dst->data = (__pyx_v_dst->data + (__pyx_v_start * __pyx_v_stride));
+
+    /* "View.MemoryView":889
+ * 
+ * 
+ *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
+ *         dst.data += start * stride
+ *     else:
+ */
+    goto __pyx_L23;
+  }
+
+  /* "View.MemoryView":892
+ *         dst.data += start * stride
+ *     else:
+ *         dst.suboffsets[suboffset_dim[0]] += start * stride             # <<<<<<<<<<<<<<
+ * 
+ *     if suboffset >= 0:
+ */
+  /*else*/ {
+    __pyx_t_3 = (__pyx_v_suboffset_dim[0]);
+    (__pyx_v_dst->suboffsets[__pyx_t_3]) = ((__pyx_v_dst->suboffsets[__pyx_t_3]) + (__pyx_v_start * __pyx_v_stride));
+  }
+  __pyx_L23:;
+
+  /* "View.MemoryView":894
+ *         dst.suboffsets[suboffset_dim[0]] += start * stride
+ * 
+ *     if suboffset >= 0:             # <<<<<<<<<<<<<<
+ *         if not is_slice:
+ *             if new_ndim == 0:
+ */
+  __pyx_t_2 = ((__pyx_v_suboffset >= 0) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":895
+ * 
+ *     if suboffset >= 0:
+ *         if not is_slice:             # <<<<<<<<<<<<<<
+ *             if new_ndim == 0:
+ *                 dst.data = (<char **> dst.data)[0] + suboffset
+ */
+    __pyx_t_2 = ((!(__pyx_v_is_slice != 0)) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":896
+ *     if suboffset >= 0:
+ *         if not is_slice:
+ *             if new_ndim == 0:             # <<<<<<<<<<<<<<
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+ *             else:
+ */
+      __pyx_t_2 = ((__pyx_v_new_ndim == 0) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":897
+ *         if not is_slice:
+ *             if new_ndim == 0:
+ *                 dst.data = (<char **> dst.data)[0] + suboffset             # <<<<<<<<<<<<<<
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+ */
+        __pyx_v_dst->data = ((((char **)__pyx_v_dst->data)[0]) + __pyx_v_suboffset);
+
+        /* "View.MemoryView":896
+ *     if suboffset >= 0:
+ *         if not is_slice:
+ *             if new_ndim == 0:             # <<<<<<<<<<<<<<
+ *                 dst.data = (<char **> dst.data)[0] + suboffset
+ *             else:
+ */
+        goto __pyx_L26;
+      }
+
+      /* "View.MemoryView":899
+ *                 dst.data = (<char **> dst.data)[0] + suboffset
+ *             else:
+ *                 _err_dim(IndexError, "All dimensions preceding dimension %d "             # <<<<<<<<<<<<<<
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+ */
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+        /* "View.MemoryView":900
+ *             else:
+ *                 _err_dim(IndexError, "All dimensions preceding dimension %d "
+ *                                      "must be indexed and not sliced", dim)             # <<<<<<<<<<<<<<
+ *         else:
+ *             suboffset_dim[0] = new_ndim
+ */
+        __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"All dimensions preceding dimension %d must be indexed and not sliced"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 899, __pyx_L1_error)
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+      __pyx_L26:;
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+      /* "View.MemoryView":895
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+ *     if suboffset >= 0:
+ *         if not is_slice:             # <<<<<<<<<<<<<<
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+ */
+      goto __pyx_L25;
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+ *             suboffset_dim[0] = new_ndim             # <<<<<<<<<<<<<<
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+ */
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+    /* "View.MemoryView":894
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+ *     if suboffset >= 0:             # <<<<<<<<<<<<<<
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+ *             if new_ndim == 0:
+ */
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+  /* "View.MemoryView":904
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+ *     return 0             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
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+  goto __pyx_L0;
+
+  /* "View.MemoryView":807
+ * 
+ * @cname('__pyx_memoryview_slice_memviewslice')
+ * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
+ *         __Pyx_memviewslice *dst,
+ *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
+ */
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+  /* function exit code */
+  __pyx_L1_error:;
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+    PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
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+    __Pyx_AddTraceback("View.MemoryView.slice_memviewslice", __pyx_clineno, __pyx_lineno, __pyx_filename);
+    #ifdef WITH_THREAD
+    __Pyx_PyGILState_Release(__pyx_gilstate_save);
+    #endif
+  }
+  __pyx_r = -1;
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+/* "View.MemoryView":910
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+ * @cname('__pyx_pybuffer_index')
+ * cdef char *pybuffer_index(Py_buffer *view, char *bufp, Py_ssize_t index,             # <<<<<<<<<<<<<<
+ *                           Py_ssize_t dim) except NULL:
+ *     cdef Py_ssize_t shape, stride, suboffset = -1
+ */
+
+static char *__pyx_pybuffer_index(Py_buffer *__pyx_v_view, char *__pyx_v_bufp, Py_ssize_t __pyx_v_index, Py_ssize_t __pyx_v_dim) {
+  Py_ssize_t __pyx_v_shape;
+  Py_ssize_t __pyx_v_stride;
+  Py_ssize_t __pyx_v_suboffset;
+  Py_ssize_t __pyx_v_itemsize;
+  char *__pyx_v_resultp;
+  char *__pyx_r;
+  __Pyx_RefNannyDeclarations
+  Py_ssize_t __pyx_t_1;
+  int __pyx_t_2;
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+  PyObject *__pyx_t_4 = NULL;
+  int __pyx_lineno = 0;
+  const char *__pyx_filename = NULL;
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+  /* "View.MemoryView":912
+ * cdef char *pybuffer_index(Py_buffer *view, char *bufp, Py_ssize_t index,
+ *                           Py_ssize_t dim) except NULL:
+ *     cdef Py_ssize_t shape, stride, suboffset = -1             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t itemsize = view.itemsize
+ *     cdef char *resultp
+ */
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+
+  /* "View.MemoryView":913
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+ *     cdef Py_ssize_t shape, stride, suboffset = -1
+ *     cdef Py_ssize_t itemsize = view.itemsize             # <<<<<<<<<<<<<<
+ *     cdef char *resultp
+ * 
+ */
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+  __pyx_v_itemsize = __pyx_t_1;
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+  /* "View.MemoryView":916
+ *     cdef char *resultp
+ * 
+ *     if view.ndim == 0:             # <<<<<<<<<<<<<<
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+ *         stride = itemsize
+ */
+  __pyx_t_2 = ((__pyx_v_view->ndim == 0) != 0);
+  if (__pyx_t_2) {
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+    /* "View.MemoryView":917
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+ *     if view.ndim == 0:
+ *         shape = view.len / itemsize             # <<<<<<<<<<<<<<
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+      PyErr_SetString(PyExc_OverflowError, "value too large to perform division");
+      __PYX_ERR(1, 917, __pyx_L1_error)
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+    /* "View.MemoryView":918
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+ *         stride = itemsize             # <<<<<<<<<<<<<<
+ *     else:
+ *         shape = view.shape[dim]
+ */
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+
+    /* "View.MemoryView":916
+ *     cdef char *resultp
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+ *     if view.ndim == 0:             # <<<<<<<<<<<<<<
+ *         shape = view.len / itemsize
+ *         stride = itemsize
+ */
+    goto __pyx_L3;
+  }
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+  /* "View.MemoryView":920
+ *         stride = itemsize
+ *     else:
+ *         shape = view.shape[dim]             # <<<<<<<<<<<<<<
+ *         stride = view.strides[dim]
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+ */
+  /*else*/ {
+    __pyx_v_shape = (__pyx_v_view->shape[__pyx_v_dim]);
+
+    /* "View.MemoryView":921
+ *     else:
+ *         shape = view.shape[dim]
+ *         stride = view.strides[dim]             # <<<<<<<<<<<<<<
+ *         if view.suboffsets != NULL:
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+ */
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+
+    /* "View.MemoryView":922
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+ *         if view.suboffsets != NULL:             # <<<<<<<<<<<<<<
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+ */
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+    if (__pyx_t_2) {
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+      /* "View.MemoryView":923
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+ */
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+
+      /* "View.MemoryView":922
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+ *         stride = view.strides[dim]
+ *         if view.suboffsets != NULL:             # <<<<<<<<<<<<<<
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+ */
+    }
+  }
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+  /* "View.MemoryView":925
+ *             suboffset = view.suboffsets[dim]
+ * 
+ *     if index < 0:             # <<<<<<<<<<<<<<
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+ */
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+ *     if index < 0:
+ *         index += view.shape[dim]             # <<<<<<<<<<<<<<
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+ *             raise IndexError("Out of bounds on buffer access (axis %d)" % dim)
+ */
+    __pyx_v_index = (__pyx_v_index + (__pyx_v_view->shape[__pyx_v_dim]));
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+    /* "View.MemoryView":927
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+ *         index += view.shape[dim]
+ *         if index < 0:             # <<<<<<<<<<<<<<
+ *             raise IndexError("Out of bounds on buffer access (axis %d)" % dim)
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+ */
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+    if (unlikely(__pyx_t_2)) {
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+      /* "View.MemoryView":928
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+ *             raise IndexError("Out of bounds on buffer access (axis %d)" % dim)             # <<<<<<<<<<<<<<
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+      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
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+      /* "View.MemoryView":927
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+ *         if index < 0:             # <<<<<<<<<<<<<<
+ *             raise IndexError("Out of bounds on buffer access (axis %d)" % dim)
+ * 
+ */
+    }
+
+    /* "View.MemoryView":925
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+ *     if index < 0:             # <<<<<<<<<<<<<<
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+ */
+  }
+
+  /* "View.MemoryView":930
+ *             raise IndexError("Out of bounds on buffer access (axis %d)" % dim)
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+ *     if index >= shape:             # <<<<<<<<<<<<<<
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+ */
+  __pyx_t_2 = ((__pyx_v_index >= __pyx_v_shape) != 0);
+  if (unlikely(__pyx_t_2)) {
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+    /* "View.MemoryView":931
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+ *     if index >= shape:
+ *         raise IndexError("Out of bounds on buffer access (axis %d)" % dim)             # <<<<<<<<<<<<<<
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+    __pyx_t_3 = PyInt_FromSsize_t(__pyx_v_dim); if (unlikely(!__pyx_t_3)) __PYX_ERR(1, 931, __pyx_L1_error)
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+    __pyx_t_4 = __Pyx_PyString_Format(__pyx_kp_s_Out_of_bounds_on_buffer_access_a, __pyx_t_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(1, 931, __pyx_L1_error)
+    __Pyx_GOTREF(__pyx_t_4);
+    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
+    __pyx_t_3 = __Pyx_PyObject_CallOneArg(__pyx_builtin_IndexError, __pyx_t_4); if (unlikely(!__pyx_t_3)) __PYX_ERR(1, 931, __pyx_L1_error)
+    __Pyx_GOTREF(__pyx_t_3);
+    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
+    __Pyx_Raise(__pyx_t_3, 0, 0, 0);
+    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
+    __PYX_ERR(1, 931, __pyx_L1_error)
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+    /* "View.MemoryView":930
+ *             raise IndexError("Out of bounds on buffer access (axis %d)" % dim)
+ * 
+ *     if index >= shape:             # <<<<<<<<<<<<<<
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+ * 
+ */
+  }
+
+  /* "View.MemoryView":933
+ *         raise IndexError("Out of bounds on buffer access (axis %d)" % dim)
+ * 
+ *     resultp = bufp + index * stride             # <<<<<<<<<<<<<<
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+ *         resultp = (<char **> resultp)[0] + suboffset
+ */
+  __pyx_v_resultp = (__pyx_v_bufp + (__pyx_v_index * __pyx_v_stride));
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+  /* "View.MemoryView":934
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+ *     resultp = bufp + index * stride
+ *     if suboffset >= 0:             # <<<<<<<<<<<<<<
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+ */
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+ *     if suboffset >= 0:
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+ *             break             # <<<<<<<<<<<<<<
+ * 
+ *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
+ */
+      goto __pyx_L7_break;
+
+      /* "View.MemoryView":1130
+ * 
+ *     for i in range(ndim):
+ *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
+ *             f_stride = mslice.strides[i]
+ *             break
+ */
+    }
+  }
+  __pyx_L7_break:;
+
+  /* "View.MemoryView":1134
+ *             break
+ * 
+ *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
+ *         return 'C'
+ *     else:
+ */
+  __pyx_t_2 = ((abs_py_ssize_t(__pyx_v_c_stride) <= abs_py_ssize_t(__pyx_v_f_stride)) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":1135
+ * 
+ *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
+ *         return 'C'             # <<<<<<<<<<<<<<
+ *     else:
+ *         return 'F'
+ */
+    __pyx_r = 'C';
+    goto __pyx_L0;
+
+    /* "View.MemoryView":1134
+ *             break
+ * 
+ *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
+ *         return 'C'
+ *     else:
+ */
+  }
+
+  /* "View.MemoryView":1137
+ *         return 'C'
+ *     else:
+ *         return 'F'             # <<<<<<<<<<<<<<
+ * 
+ * @cython.cdivision(True)
+ */
+  /*else*/ {
+    __pyx_r = 'F';
+    goto __pyx_L0;
+  }
+
+  /* "View.MemoryView":1116
+ * 
+ * @cname('__pyx_get_best_slice_order')
+ * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<
+ *     """
+ *     Figure out the best memory access order for a given slice.
+ */
+
+  /* function exit code */
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+/* "View.MemoryView":1140
+ * 
+ * @cython.cdivision(True)
+ * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
+ *                                    char *dst_data, Py_ssize_t *dst_strides,
+ *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
+ */
+
+static void _copy_strided_to_strided(char *__pyx_v_src_data, Py_ssize_t *__pyx_v_src_strides, char *__pyx_v_dst_data, Py_ssize_t *__pyx_v_dst_strides, Py_ssize_t *__pyx_v_src_shape, Py_ssize_t *__pyx_v_dst_shape, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
+  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
+  CYTHON_UNUSED Py_ssize_t __pyx_v_src_extent;
+  Py_ssize_t __pyx_v_dst_extent;
+  Py_ssize_t __pyx_v_src_stride;
+  Py_ssize_t __pyx_v_dst_stride;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  Py_ssize_t __pyx_t_4;
+  Py_ssize_t __pyx_t_5;
+  Py_ssize_t __pyx_t_6;
+
+  /* "View.MemoryView":1147
+ * 
+ *     cdef Py_ssize_t i
+ *     cdef Py_ssize_t src_extent = src_shape[0]             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t dst_extent = dst_shape[0]
+ *     cdef Py_ssize_t src_stride = src_strides[0]
+ */
+  __pyx_v_src_extent = (__pyx_v_src_shape[0]);
+
+  /* "View.MemoryView":1148
+ *     cdef Py_ssize_t i
+ *     cdef Py_ssize_t src_extent = src_shape[0]
+ *     cdef Py_ssize_t dst_extent = dst_shape[0]             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t src_stride = src_strides[0]
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]
+ */
+  __pyx_v_dst_extent = (__pyx_v_dst_shape[0]);
+
+  /* "View.MemoryView":1149
+ *     cdef Py_ssize_t src_extent = src_shape[0]
+ *     cdef Py_ssize_t dst_extent = dst_shape[0]
+ *     cdef Py_ssize_t src_stride = src_strides[0]             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]
+ * 
+ */
+  __pyx_v_src_stride = (__pyx_v_src_strides[0]);
+
+  /* "View.MemoryView":1150
+ *     cdef Py_ssize_t dst_extent = dst_shape[0]
+ *     cdef Py_ssize_t src_stride = src_strides[0]
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]             # <<<<<<<<<<<<<<
+ * 
+ *     if ndim == 1:
+ */
+  __pyx_v_dst_stride = (__pyx_v_dst_strides[0]);
+
+  /* "View.MemoryView":1152
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]
+ * 
+ *     if ndim == 1:             # <<<<<<<<<<<<<<
+ *        if (src_stride > 0 and dst_stride > 0 and
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ */
+  __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":1153
+ * 
+ *     if ndim == 1:
+ *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ */
+    __pyx_t_2 = ((__pyx_v_src_stride > 0) != 0);
+    if (__pyx_t_2) {
+    } else {
+      __pyx_t_1 = __pyx_t_2;
+      goto __pyx_L5_bool_binop_done;
+    }
+    __pyx_t_2 = ((__pyx_v_dst_stride > 0) != 0);
+    if (__pyx_t_2) {
+    } else {
+      __pyx_t_1 = __pyx_t_2;
+      goto __pyx_L5_bool_binop_done;
+    }
+
+    /* "View.MemoryView":1154
+ *     if ndim == 1:
+ *        if (src_stride > 0 and dst_stride > 0 and
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):             # <<<<<<<<<<<<<<
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ *        else:
+ */
+    __pyx_t_2 = (((size_t)__pyx_v_src_stride) == __pyx_v_itemsize);
+    if (__pyx_t_2) {
+      __pyx_t_2 = (__pyx_v_itemsize == ((size_t)__pyx_v_dst_stride));
+    }
+    __pyx_t_3 = (__pyx_t_2 != 0);
+    __pyx_t_1 = __pyx_t_3;
+    __pyx_L5_bool_binop_done:;
+
+    /* "View.MemoryView":1153
+ * 
+ *     if ndim == 1:
+ *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ */
+    if (__pyx_t_1) {
+
+      /* "View.MemoryView":1155
+ *        if (src_stride > 0 and dst_stride > 0 and
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)             # <<<<<<<<<<<<<<
+ *        else:
+ *            for i in range(dst_extent):
+ */
+      (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * __pyx_v_dst_extent)));
+
+      /* "View.MemoryView":1153
+ * 
+ *     if ndim == 1:
+ *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ */
+      goto __pyx_L4;
+    }
+
+    /* "View.MemoryView":1157
+ *            memcpy(dst_data, src_data, itemsize * dst_extent)
+ *        else:
+ *            for i in range(dst_extent):             # <<<<<<<<<<<<<<
+ *                memcpy(dst_data, src_data, itemsize)
+ *                src_data += src_stride
+ */
+    /*else*/ {
+      __pyx_t_4 = __pyx_v_dst_extent;
+      __pyx_t_5 = __pyx_t_4;
+      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
+        __pyx_v_i = __pyx_t_6;
+
+        /* "View.MemoryView":1158
+ *        else:
+ *            for i in range(dst_extent):
+ *                memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<
+ *                src_data += src_stride
+ *                dst_data += dst_stride
+ */
+        (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize));
+
+        /* "View.MemoryView":1159
+ *            for i in range(dst_extent):
+ *                memcpy(dst_data, src_data, itemsize)
+ *                src_data += src_stride             # <<<<<<<<<<<<<<
+ *                dst_data += dst_stride
+ *     else:
+ */
+        __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);
+
+        /* "View.MemoryView":1160
+ *                memcpy(dst_data, src_data, itemsize)
+ *                src_data += src_stride
+ *                dst_data += dst_stride             # <<<<<<<<<<<<<<
+ *     else:
+ *         for i in range(dst_extent):
+ */
+        __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
+      }
+    }
+    __pyx_L4:;
+
+    /* "View.MemoryView":1152
+ *     cdef Py_ssize_t dst_stride = dst_strides[0]
+ * 
+ *     if ndim == 1:             # <<<<<<<<<<<<<<
+ *        if (src_stride > 0 and dst_stride > 0 and
+ *            <size_t> src_stride == itemsize == <size_t> dst_stride):
+ */
+    goto __pyx_L3;
+  }
+
+  /* "View.MemoryView":1162
+ *                dst_data += dst_stride
+ *     else:
+ *         for i in range(dst_extent):             # <<<<<<<<<<<<<<
+ *             _copy_strided_to_strided(src_data, src_strides + 1,
+ *                                      dst_data, dst_strides + 1,
+ */
+  /*else*/ {
+    __pyx_t_4 = __pyx_v_dst_extent;
+    __pyx_t_5 = __pyx_t_4;
+    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
+      __pyx_v_i = __pyx_t_6;
+
+      /* "View.MemoryView":1163
+ *     else:
+ *         for i in range(dst_extent):
+ *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<
+ *                                      dst_data, dst_strides + 1,
+ *                                      src_shape + 1, dst_shape + 1,
+ */
+      _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);
+
+      /* "View.MemoryView":1167
+ *                                      src_shape + 1, dst_shape + 1,
+ *                                      ndim - 1, itemsize)
+ *             src_data += src_stride             # <<<<<<<<<<<<<<
+ *             dst_data += dst_stride
+ * 
+ */
+      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);
+
+      /* "View.MemoryView":1168
+ *                                      ndim - 1, itemsize)
+ *             src_data += src_stride
+ *             dst_data += dst_stride             # <<<<<<<<<<<<<<
+ * 
+ * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,
+ */
+      __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
+    }
+  }
+  __pyx_L3:;
+
+  /* "View.MemoryView":1140
+ * 
+ * @cython.cdivision(True)
+ * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
+ *                                    char *dst_data, Py_ssize_t *dst_strides,
+ *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
+ */
+
+  /* function exit code */
+}
+
+/* "View.MemoryView":1170
+ *             dst_data += dst_stride
+ * 
+ * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
+ *                                   __Pyx_memviewslice *dst,
+ *                                   int ndim, size_t itemsize) nogil:
+ */
+
+static void copy_strided_to_strided(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
+
+  /* "View.MemoryView":1173
+ *                                   __Pyx_memviewslice *dst,
+ *                                   int ndim, size_t itemsize) nogil:
+ *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<
+ *                              src.shape, dst.shape, ndim, itemsize)
+ * 
+ */
+  _copy_strided_to_strided(__pyx_v_src->data, __pyx_v_src->strides, __pyx_v_dst->data, __pyx_v_dst->strides, __pyx_v_src->shape, __pyx_v_dst->shape, __pyx_v_ndim, __pyx_v_itemsize);
+
+  /* "View.MemoryView":1170
+ *             dst_data += dst_stride
+ * 
+ * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
+ *                                   __Pyx_memviewslice *dst,
+ *                                   int ndim, size_t itemsize) nogil:
+ */
+
+  /* function exit code */
+}
+
+/* "View.MemoryView":1177
+ * 
+ * @cname('__pyx_memoryview_slice_get_size')
+ * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
+ *     "Return the size of the memory occupied by the slice in number of bytes"
+ *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
+ */
+
+static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *__pyx_v_src, int __pyx_v_ndim) {
+  Py_ssize_t __pyx_v_shape;
+  Py_ssize_t __pyx_v_size;
+  Py_ssize_t __pyx_r;
+  Py_ssize_t __pyx_t_1;
+  Py_ssize_t *__pyx_t_2;
+  Py_ssize_t *__pyx_t_3;
+  Py_ssize_t *__pyx_t_4;
+
+  /* "View.MemoryView":1179
+ * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:
+ *     "Return the size of the memory occupied by the slice in number of bytes"
+ *     cdef Py_ssize_t shape, size = src.memview.view.itemsize             # <<<<<<<<<<<<<<
+ * 
+ *     for shape in src.shape[:ndim]:
+ */
+  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
+  __pyx_v_size = __pyx_t_1;
+
+  /* "View.MemoryView":1181
+ *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
+ * 
+ *     for shape in src.shape[:ndim]:             # <<<<<<<<<<<<<<
+ *         size *= shape
+ * 
+ */
+  __pyx_t_3 = (__pyx_v_src->shape + __pyx_v_ndim);
+  for (__pyx_t_4 = __pyx_v_src->shape; __pyx_t_4 < __pyx_t_3; __pyx_t_4++) {
+    __pyx_t_2 = __pyx_t_4;
+    __pyx_v_shape = (__pyx_t_2[0]);
+
+    /* "View.MemoryView":1182
+ * 
+ *     for shape in src.shape[:ndim]:
+ *         size *= shape             # <<<<<<<<<<<<<<
+ * 
+ *     return size
+ */
+    __pyx_v_size = (__pyx_v_size * __pyx_v_shape);
+  }
+
+  /* "View.MemoryView":1184
+ *         size *= shape
+ * 
+ *     return size             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_fill_contig_strides_array')
+ */
+  __pyx_r = __pyx_v_size;
+  goto __pyx_L0;
+
+  /* "View.MemoryView":1177
+ * 
+ * @cname('__pyx_memoryview_slice_get_size')
+ * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
+ *     "Return the size of the memory occupied by the slice in number of bytes"
+ *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
+ */
+
+  /* function exit code */
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+/* "View.MemoryView":1187
+ * 
+ * @cname('__pyx_fill_contig_strides_array')
+ * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
+ *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
+ *                 int ndim, char order) nogil:
+ */
+
+static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, Py_ssize_t __pyx_v_stride, int __pyx_v_ndim, char __pyx_v_order) {
+  int __pyx_v_idx;
+  Py_ssize_t __pyx_r;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  int __pyx_t_4;
+
+  /* "View.MemoryView":1196
+ *     cdef int idx
+ * 
+ *     if order == 'F':             # <<<<<<<<<<<<<<
+ *         for idx in range(ndim):
+ *             strides[idx] = stride
+ */
+  __pyx_t_1 = ((__pyx_v_order == 'F') != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":1197
+ * 
+ *     if order == 'F':
+ *         for idx in range(ndim):             # <<<<<<<<<<<<<<
+ *             strides[idx] = stride
+ *             stride *= shape[idx]
+ */
+    __pyx_t_2 = __pyx_v_ndim;
+    __pyx_t_3 = __pyx_t_2;
+    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
+      __pyx_v_idx = __pyx_t_4;
+
+      /* "View.MemoryView":1198
+ *     if order == 'F':
+ *         for idx in range(ndim):
+ *             strides[idx] = stride             # <<<<<<<<<<<<<<
+ *             stride *= shape[idx]
+ *     else:
+ */
+      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;
+
+      /* "View.MemoryView":1199
+ *         for idx in range(ndim):
+ *             strides[idx] = stride
+ *             stride *= shape[idx]             # <<<<<<<<<<<<<<
+ *     else:
+ *         for idx in range(ndim - 1, -1, -1):
+ */
+      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
+    }
+
+    /* "View.MemoryView":1196
+ *     cdef int idx
+ * 
+ *     if order == 'F':             # <<<<<<<<<<<<<<
+ *         for idx in range(ndim):
+ *             strides[idx] = stride
+ */
+    goto __pyx_L3;
+  }
+
+  /* "View.MemoryView":1201
+ *             stride *= shape[idx]
+ *     else:
+ *         for idx in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
+ *             strides[idx] = stride
+ *             stride *= shape[idx]
+ */
+  /*else*/ {
+    for (__pyx_t_2 = (__pyx_v_ndim - 1); __pyx_t_2 > -1; __pyx_t_2-=1) {
+      __pyx_v_idx = __pyx_t_2;
+
+      /* "View.MemoryView":1202
+ *     else:
+ *         for idx in range(ndim - 1, -1, -1):
+ *             strides[idx] = stride             # <<<<<<<<<<<<<<
+ *             stride *= shape[idx]
+ * 
+ */
+      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;
+
+      /* "View.MemoryView":1203
+ *         for idx in range(ndim - 1, -1, -1):
+ *             strides[idx] = stride
+ *             stride *= shape[idx]             # <<<<<<<<<<<<<<
+ * 
+ *     return stride
+ */
+      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
+    }
+  }
+  __pyx_L3:;
+
+  /* "View.MemoryView":1205
+ *             stride *= shape[idx]
+ * 
+ *     return stride             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_memoryview_copy_data_to_temp')
+ */
+  __pyx_r = __pyx_v_stride;
+  goto __pyx_L0;
+
+  /* "View.MemoryView":1187
+ * 
+ * @cname('__pyx_fill_contig_strides_array')
+ * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
+ *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
+ *                 int ndim, char order) nogil:
+ */
+
+  /* function exit code */
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+/* "View.MemoryView":1208
+ * 
+ * @cname('__pyx_memoryview_copy_data_to_temp')
+ * cdef void *copy_data_to_temp(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
+ *                              __Pyx_memviewslice *tmpslice,
+ *                              char order,
+ */
+
+static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_tmpslice, char __pyx_v_order, int __pyx_v_ndim) {
+  int __pyx_v_i;
+  void *__pyx_v_result;
+  size_t __pyx_v_itemsize;
+  size_t __pyx_v_size;
+  void *__pyx_r;
+  Py_ssize_t __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  struct __pyx_memoryview_obj *__pyx_t_4;
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+  /* "View.MemoryView":1265
+ *         raise error(msg.decode('ascii'))
+ *     else:
+ *         raise error             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_memoryview_copy_contents')
+ */
+  /*else*/ {
+    __Pyx_Raise(__pyx_v_error, 0, 0, 0);
+    __PYX_ERR(1, 1265, __pyx_L1_error)
+  }
+
+  /* "View.MemoryView":1261
+ * 
+ * @cname('__pyx_memoryview_err')
+ * cdef int _err(object error, char *msg) except -1 with gil:             # <<<<<<<<<<<<<<
+ *     if msg != NULL:
+ *         raise error(msg.decode('ascii'))
+ */
+
+  /* function exit code */
+  __pyx_L1_error:;
+  __Pyx_XDECREF(__pyx_t_2);
+  __Pyx_XDECREF(__pyx_t_3);
+  __Pyx_XDECREF(__pyx_t_4);
+  __Pyx_XDECREF(__pyx_t_5);
+  __Pyx_AddTraceback("View.MemoryView._err", __pyx_clineno, __pyx_lineno, __pyx_filename);
+  __pyx_r = -1;
+  __Pyx_XDECREF(__pyx_v_error);
+  __Pyx_RefNannyFinishContext();
+  #ifdef WITH_THREAD
+  __Pyx_PyGILState_Release(__pyx_gilstate_save);
+  #endif
+  return __pyx_r;
+}
+
+/* "View.MemoryView":1268
+ * 
+ * @cname('__pyx_memoryview_copy_contents')
+ * cdef int memoryview_copy_contents(__Pyx_memviewslice src,             # <<<<<<<<<<<<<<
+ *                                   __Pyx_memviewslice dst,
+ *                                   int src_ndim, int dst_ndim,
+ */
+
+static int __pyx_memoryview_copy_contents(__Pyx_memviewslice __pyx_v_src, __Pyx_memviewslice __pyx_v_dst, int __pyx_v_src_ndim, int __pyx_v_dst_ndim, int __pyx_v_dtype_is_object) {
+  void *__pyx_v_tmpdata;
+  size_t __pyx_v_itemsize;
+  int __pyx_v_i;
+  char __pyx_v_order;
+  int __pyx_v_broadcasting;
+  int __pyx_v_direct_copy;
+  __Pyx_memviewslice __pyx_v_tmp;
+  int __pyx_v_ndim;
+  int __pyx_r;
+  Py_ssize_t __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  int __pyx_t_4;
+  int __pyx_t_5;
+  int __pyx_t_6;
+  void *__pyx_t_7;
+  int __pyx_t_8;
+  int __pyx_lineno = 0;
+  const char *__pyx_filename = NULL;
+  int __pyx_clineno = 0;
+
+  /* "View.MemoryView":1276
+ *     Check for overlapping memory and verify the shapes.
+ *     """
+ *     cdef void *tmpdata = NULL             # <<<<<<<<<<<<<<
+ *     cdef size_t itemsize = src.memview.view.itemsize
+ *     cdef int i
+ */
+  __pyx_v_tmpdata = NULL;
+
+  /* "View.MemoryView":1277
+ *     """
+ *     cdef void *tmpdata = NULL
+ *     cdef size_t itemsize = src.memview.view.itemsize             # <<<<<<<<<<<<<<
+ *     cdef int i
+ *     cdef char order = get_best_order(&src, src_ndim)
+ */
+  __pyx_t_1 = __pyx_v_src.memview->view.itemsize;
+  __pyx_v_itemsize = __pyx_t_1;
+
+  /* "View.MemoryView":1279
+ *     cdef size_t itemsize = src.memview.view.itemsize
+ *     cdef int i
+ *     cdef char order = get_best_order(&src, src_ndim)             # <<<<<<<<<<<<<<
+ *     cdef bint broadcasting = False
+ *     cdef bint direct_copy = False
+ */
+  __pyx_v_order = __pyx_get_best_slice_order((&__pyx_v_src), __pyx_v_src_ndim);
+
+  /* "View.MemoryView":1280
+ *     cdef int i
+ *     cdef char order = get_best_order(&src, src_ndim)
+ *     cdef bint broadcasting = False             # <<<<<<<<<<<<<<
+ *     cdef bint direct_copy = False
+ *     cdef __Pyx_memviewslice tmp
+ */
+  __pyx_v_broadcasting = 0;
+
+  /* "View.MemoryView":1281
+ *     cdef char order = get_best_order(&src, src_ndim)
+ *     cdef bint broadcasting = False
+ *     cdef bint direct_copy = False             # <<<<<<<<<<<<<<
+ *     cdef __Pyx_memviewslice tmp
+ * 
+ */
+  __pyx_v_direct_copy = 0;
+
+  /* "View.MemoryView":1284
+ *     cdef __Pyx_memviewslice tmp
+ * 
+ *     if src_ndim < dst_ndim:             # <<<<<<<<<<<<<<
+ *         broadcast_leading(&src, src_ndim, dst_ndim)
+ *     elif dst_ndim < src_ndim:
+ */
+  __pyx_t_2 = ((__pyx_v_src_ndim < __pyx_v_dst_ndim) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":1285
+ * 
+ *     if src_ndim < dst_ndim:
+ *         broadcast_leading(&src, src_ndim, dst_ndim)             # <<<<<<<<<<<<<<
+ *     elif dst_ndim < src_ndim:
+ *         broadcast_leading(&dst, dst_ndim, src_ndim)
+ */
+    __pyx_memoryview_broadcast_leading((&__pyx_v_src), __pyx_v_src_ndim, __pyx_v_dst_ndim);
+
+    /* "View.MemoryView":1284
+ *     cdef __Pyx_memviewslice tmp
+ * 
+ *     if src_ndim < dst_ndim:             # <<<<<<<<<<<<<<
+ *         broadcast_leading(&src, src_ndim, dst_ndim)
+ *     elif dst_ndim < src_ndim:
+ */
+    goto __pyx_L3;
+  }
+
+  /* "View.MemoryView":1286
+ *     if src_ndim < dst_ndim:
+ *         broadcast_leading(&src, src_ndim, dst_ndim)
+ *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
+ *         broadcast_leading(&dst, dst_ndim, src_ndim)
+ * 
+ */
+  __pyx_t_2 = ((__pyx_v_dst_ndim < __pyx_v_src_ndim) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":1287
+ *         broadcast_leading(&src, src_ndim, dst_ndim)
+ *     elif dst_ndim < src_ndim:
+ *         broadcast_leading(&dst, dst_ndim, src_ndim)             # <<<<<<<<<<<<<<
+ * 
+ *     cdef int ndim = max(src_ndim, dst_ndim)
+ */
+    __pyx_memoryview_broadcast_leading((&__pyx_v_dst), __pyx_v_dst_ndim, __pyx_v_src_ndim);
+
+    /* "View.MemoryView":1286
+ *     if src_ndim < dst_ndim:
+ *         broadcast_leading(&src, src_ndim, dst_ndim)
+ *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
+ *         broadcast_leading(&dst, dst_ndim, src_ndim)
+ * 
+ */
+  }
+  __pyx_L3:;
+
+  /* "View.MemoryView":1289
+ *         broadcast_leading(&dst, dst_ndim, src_ndim)
+ * 
+ *     cdef int ndim = max(src_ndim, dst_ndim)             # <<<<<<<<<<<<<<
+ * 
+ *     for i in range(ndim):
+ */
+  __pyx_t_3 = __pyx_v_dst_ndim;
+  __pyx_t_4 = __pyx_v_src_ndim;
+  if (((__pyx_t_3 > __pyx_t_4) != 0)) {
+    __pyx_t_5 = __pyx_t_3;
+  } else {
+    __pyx_t_5 = __pyx_t_4;
+  }
+  __pyx_v_ndim = __pyx_t_5;
+
+  /* "View.MemoryView":1291
+ *     cdef int ndim = max(src_ndim, dst_ndim)
+ * 
+ *     for i in range(ndim):             # <<<<<<<<<<<<<<
+ *         if src.shape[i] != dst.shape[i]:
+ *             if src.shape[i] == 1:
+ */
+  __pyx_t_5 = __pyx_v_ndim;
+  __pyx_t_3 = __pyx_t_5;
+  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
+    __pyx_v_i = __pyx_t_4;
+
+    /* "View.MemoryView":1292
+ * 
+ *     for i in range(ndim):
+ *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
+ *             if src.shape[i] == 1:
+ *                 broadcasting = True
+ */
+    __pyx_t_2 = (((__pyx_v_src.shape[__pyx_v_i]) != (__pyx_v_dst.shape[__pyx_v_i])) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1293
+ *     for i in range(ndim):
+ *         if src.shape[i] != dst.shape[i]:
+ *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
+ *                 broadcasting = True
+ *                 src.strides[i] = 0
+ */
+      __pyx_t_2 = (((__pyx_v_src.shape[__pyx_v_i]) == 1) != 0);
+      if (__pyx_t_2) {
+
+        /* "View.MemoryView":1294
+ *         if src.shape[i] != dst.shape[i]:
+ *             if src.shape[i] == 1:
+ *                 broadcasting = True             # <<<<<<<<<<<<<<
+ *                 src.strides[i] = 0
+ *             else:
+ */
+        __pyx_v_broadcasting = 1;
+
+        /* "View.MemoryView":1295
+ *             if src.shape[i] == 1:
+ *                 broadcasting = True
+ *                 src.strides[i] = 0             # <<<<<<<<<<<<<<
+ *             else:
+ *                 _err_extents(i, dst.shape[i], src.shape[i])
+ */
+        (__pyx_v_src.strides[__pyx_v_i]) = 0;
+
+        /* "View.MemoryView":1293
+ *     for i in range(ndim):
+ *         if src.shape[i] != dst.shape[i]:
+ *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
+ *                 broadcasting = True
+ *                 src.strides[i] = 0
+ */
+        goto __pyx_L7;
+      }
+
+      /* "View.MemoryView":1297
+ *                 src.strides[i] = 0
+ *             else:
+ *                 _err_extents(i, dst.shape[i], src.shape[i])             # <<<<<<<<<<<<<<
+ * 
+ *         if src.suboffsets[i] >= 0:
+ */
+      /*else*/ {
+        __pyx_t_6 = __pyx_memoryview_err_extents(__pyx_v_i, (__pyx_v_dst.shape[__pyx_v_i]), (__pyx_v_src.shape[__pyx_v_i])); if (unlikely(__pyx_t_6 == ((int)-1))) __PYX_ERR(1, 1297, __pyx_L1_error)
+      }
+      __pyx_L7:;
+
+      /* "View.MemoryView":1292
+ * 
+ *     for i in range(ndim):
+ *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
+ *             if src.shape[i] == 1:
+ *                 broadcasting = True
+ */
+    }
+
+    /* "View.MemoryView":1299
+ *                 _err_extents(i, dst.shape[i], src.shape[i])
+ * 
+ *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
+ *             _err_dim(ValueError, "Dimension %d is not direct", i)
+ * 
+ */
+    __pyx_t_2 = (((__pyx_v_src.suboffsets[__pyx_v_i]) >= 0) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1300
+ * 
+ *         if src.suboffsets[i] >= 0:
+ *             _err_dim(ValueError, "Dimension %d is not direct", i)             # <<<<<<<<<<<<<<
+ * 
+ *     if slices_overlap(&src, &dst, ndim, itemsize):
+ */
+      __pyx_t_6 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Dimension %d is not direct"), __pyx_v_i); if (unlikely(__pyx_t_6 == ((int)-1))) __PYX_ERR(1, 1300, __pyx_L1_error)
+
+      /* "View.MemoryView":1299
+ *                 _err_extents(i, dst.shape[i], src.shape[i])
+ * 
+ *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
+ *             _err_dim(ValueError, "Dimension %d is not direct", i)
+ * 
+ */
+    }
+  }
+
+  /* "View.MemoryView":1302
+ *             _err_dim(ValueError, "Dimension %d is not direct", i)
+ * 
+ *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
+ * 
+ *         if not slice_is_contig(src, order, ndim):
+ */
+  __pyx_t_2 = (__pyx_slices_overlap((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":1304
+ *     if slices_overlap(&src, &dst, ndim, itemsize):
+ * 
+ *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
+ *             order = get_best_order(&dst, ndim)
+ * 
+ */
+    __pyx_t_2 = ((!(__pyx_memviewslice_is_contig(__pyx_v_src, __pyx_v_order, __pyx_v_ndim) != 0)) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1305
+ * 
+ *         if not slice_is_contig(src, order, ndim):
+ *             order = get_best_order(&dst, ndim)             # <<<<<<<<<<<<<<
+ * 
+ *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
+ */
+      __pyx_v_order = __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim);
+
+      /* "View.MemoryView":1304
+ *     if slices_overlap(&src, &dst, ndim, itemsize):
+ * 
+ *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
+ *             order = get_best_order(&dst, ndim)
+ * 
+ */
+    }
+
+    /* "View.MemoryView":1307
+ *             order = get_best_order(&dst, ndim)
+ * 
+ *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)             # <<<<<<<<<<<<<<
+ *         src = tmp
+ * 
+ */
+    __pyx_t_7 = __pyx_memoryview_copy_data_to_temp((&__pyx_v_src), (&__pyx_v_tmp), __pyx_v_order, __pyx_v_ndim); if (unlikely(__pyx_t_7 == ((void *)NULL))) __PYX_ERR(1, 1307, __pyx_L1_error)
+    __pyx_v_tmpdata = __pyx_t_7;
+
+    /* "View.MemoryView":1308
+ * 
+ *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
+ *         src = tmp             # <<<<<<<<<<<<<<
+ * 
+ *     if not broadcasting:
+ */
+    __pyx_v_src = __pyx_v_tmp;
+
+    /* "View.MemoryView":1302
+ *             _err_dim(ValueError, "Dimension %d is not direct", i)
+ * 
+ *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
+ * 
+ *         if not slice_is_contig(src, order, ndim):
+ */
+  }
+
+  /* "View.MemoryView":1310
+ *         src = tmp
+ * 
+ *     if not broadcasting:             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  __pyx_t_2 = ((!(__pyx_v_broadcasting != 0)) != 0);
+  if (__pyx_t_2) {
+
+    /* "View.MemoryView":1313
+ * 
+ * 
+ *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):
+ */
+    __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'C', __pyx_v_ndim) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1314
+ * 
+ *         if slice_is_contig(src, 'C', ndim):
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)             # <<<<<<<<<<<<<<
+ *         elif slice_is_contig(src, 'F', ndim):
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ */
+      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'C', __pyx_v_ndim);
+
+      /* "View.MemoryView":1313
+ * 
+ * 
+ *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):
+ */
+      goto __pyx_L12;
+    }
+
+    /* "View.MemoryView":1315
+ *         if slice_is_contig(src, 'C', ndim):
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ * 
+ */
+    __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'F', __pyx_v_ndim) != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1316
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)             # <<<<<<<<<<<<<<
+ * 
+ *         if direct_copy:
+ */
+      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'F', __pyx_v_ndim);
+
+      /* "View.MemoryView":1315
+ *         if slice_is_contig(src, 'C', ndim):
+ *             direct_copy = slice_is_contig(dst, 'C', ndim)
+ *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ * 
+ */
+    }
+    __pyx_L12:;
+
+    /* "View.MemoryView":1318
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ * 
+ *         if direct_copy:             # <<<<<<<<<<<<<<
+ * 
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)
+ */
+    __pyx_t_2 = (__pyx_v_direct_copy != 0);
+    if (__pyx_t_2) {
+
+      /* "View.MemoryView":1320
+ *         if direct_copy:
+ * 
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
+ *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)
+ */
+      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);
+
+      /* "View.MemoryView":1321
+ * 
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)
+ *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))             # <<<<<<<<<<<<<<
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)
+ *             free(tmpdata)
+ */
+      (void)(memcpy(__pyx_v_dst.data, __pyx_v_src.data, __pyx_memoryview_slice_get_size((&__pyx_v_src), __pyx_v_ndim)));
+
+      /* "View.MemoryView":1322
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)
+ *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
+ *             free(tmpdata)
+ *             return 0
+ */
+      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);
+
+      /* "View.MemoryView":1323
+ *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)
+ *             free(tmpdata)             # <<<<<<<<<<<<<<
+ *             return 0
+ * 
+ */
+      free(__pyx_v_tmpdata);
+
+      /* "View.MemoryView":1324
+ *             refcount_copying(&dst, dtype_is_object, ndim, True)
+ *             free(tmpdata)
+ *             return 0             # <<<<<<<<<<<<<<
+ * 
+ *     if order == 'F' == get_best_order(&dst, ndim):
+ */
+      __pyx_r = 0;
+      goto __pyx_L0;
+
+      /* "View.MemoryView":1318
+ *             direct_copy = slice_is_contig(dst, 'F', ndim)
+ * 
+ *         if direct_copy:             # <<<<<<<<<<<<<<
+ * 
+ *             refcount_copying(&dst, dtype_is_object, ndim, False)
+ */
+    }
+
+    /* "View.MemoryView":1310
+ *         src = tmp
+ * 
+ *     if not broadcasting:             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  }
+
+  /* "View.MemoryView":1326
+ *             return 0
+ * 
+ *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  __pyx_t_2 = (__pyx_v_order == 'F');
+  if (__pyx_t_2) {
+    __pyx_t_2 = ('F' == __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim));
+  }
+  __pyx_t_8 = (__pyx_t_2 != 0);
+  if (__pyx_t_8) {
+
+    /* "View.MemoryView":1329
+ * 
+ * 
+ *         transpose_memslice(&src)             # <<<<<<<<<<<<<<
+ *         transpose_memslice(&dst)
+ * 
+ */
+    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_src)); if (unlikely(__pyx_t_5 == ((int)0))) __PYX_ERR(1, 1329, __pyx_L1_error)
+
+    /* "View.MemoryView":1330
+ * 
+ *         transpose_memslice(&src)
+ *         transpose_memslice(&dst)             # <<<<<<<<<<<<<<
+ * 
+ *     refcount_copying(&dst, dtype_is_object, ndim, False)
+ */
+    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_dst)); if (unlikely(__pyx_t_5 == ((int)0))) __PYX_ERR(1, 1330, __pyx_L1_error)
+
+    /* "View.MemoryView":1326
+ *             return 0
+ * 
+ *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  }
+
+  /* "View.MemoryView":1332
+ *         transpose_memslice(&dst)
+ * 
+ *     refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
+ *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
+ *     refcount_copying(&dst, dtype_is_object, ndim, True)
+ */
+  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);
+
+  /* "View.MemoryView":1333
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+ *     refcount_copying(&dst, dtype_is_object, ndim, False)
+ *     copy_strided_to_strided(&src, &dst, ndim, itemsize)             # <<<<<<<<<<<<<<
+ *     refcount_copying(&dst, dtype_is_object, ndim, True)
+ * 
+ */
+  copy_strided_to_strided((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize);
+
+  /* "View.MemoryView":1334
+ *     refcount_copying(&dst, dtype_is_object, ndim, False)
+ *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
+ *     refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
+ * 
+ *     free(tmpdata)
+ */
+  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);
+
+  /* "View.MemoryView":1336
+ *     refcount_copying(&dst, dtype_is_object, ndim, True)
+ * 
+ *     free(tmpdata)             # <<<<<<<<<<<<<<
+ *     return 0
+ * 
+ */
+  free(__pyx_v_tmpdata);
+
+  /* "View.MemoryView":1337
+ * 
+ *     free(tmpdata)
+ *     return 0             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_memoryview_broadcast_leading')
+ */
+  __pyx_r = 0;
+  goto __pyx_L0;
+
+  /* "View.MemoryView":1268
+ * 
+ * @cname('__pyx_memoryview_copy_contents')
+ * cdef int memoryview_copy_contents(__Pyx_memviewslice src,             # <<<<<<<<<<<<<<
+ *                                   __Pyx_memviewslice dst,
+ *                                   int src_ndim, int dst_ndim,
+ */
+
+  /* function exit code */
+  __pyx_L1_error:;
+  {
+    #ifdef WITH_THREAD
+    PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
+    #endif
+    __Pyx_AddTraceback("View.MemoryView.memoryview_copy_contents", __pyx_clineno, __pyx_lineno, __pyx_filename);
+    #ifdef WITH_THREAD
+    __Pyx_PyGILState_Release(__pyx_gilstate_save);
+    #endif
+  }
+  __pyx_r = -1;
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+
+/* "View.MemoryView":1340
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+ * @cname('__pyx_memoryview_broadcast_leading')
+ * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
+ *                             int ndim,
+ *                             int ndim_other) nogil:
+ */
+
+static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim, int __pyx_v_ndim_other) {
+  int __pyx_v_i;
+  int __pyx_v_offset;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
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+  /* "View.MemoryView":1344
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+ *     cdef int offset = ndim_other - ndim             # <<<<<<<<<<<<<<
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+ *     for i in range(ndim - 1, -1, -1):
+ */
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+
+  /* "View.MemoryView":1346
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+ * 
+ *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
+ *         mslice.shape[i + offset] = mslice.shape[i]
+ *         mslice.strides[i + offset] = mslice.strides[i]
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+  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1; __pyx_t_1-=1) {
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+
+    /* "View.MemoryView":1347
+ * 
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+ *         mslice.shape[i + offset] = mslice.shape[i]             # <<<<<<<<<<<<<<
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+ *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
+ */
+    (__pyx_v_mslice->shape[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->shape[__pyx_v_i]);
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+    /* "View.MemoryView":1348
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+ *         mslice.shape[i + offset] = mslice.shape[i]
+ *         mslice.strides[i + offset] = mslice.strides[i]             # <<<<<<<<<<<<<<
+ *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
+ * 
+ */
+    (__pyx_v_mslice->strides[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->strides[__pyx_v_i]);
+
+    /* "View.MemoryView":1349
+ *         mslice.shape[i + offset] = mslice.shape[i]
+ *         mslice.strides[i + offset] = mslice.strides[i]
+ *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]             # <<<<<<<<<<<<<<
+ * 
+ *     for i in range(offset):
+ */
+    (__pyx_v_mslice->suboffsets[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->suboffsets[__pyx_v_i]);
+  }
+
+  /* "View.MemoryView":1351
+ *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
+ * 
+ *     for i in range(offset):             # <<<<<<<<<<<<<<
+ *         mslice.shape[i] = 1
+ *         mslice.strides[i] = mslice.strides[0]
+ */
+  __pyx_t_1 = __pyx_v_offset;
+  __pyx_t_2 = __pyx_t_1;
+  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
+    __pyx_v_i = __pyx_t_3;
+
+    /* "View.MemoryView":1352
+ * 
+ *     for i in range(offset):
+ *         mslice.shape[i] = 1             # <<<<<<<<<<<<<<
+ *         mslice.strides[i] = mslice.strides[0]
+ *         mslice.suboffsets[i] = -1
+ */
+    (__pyx_v_mslice->shape[__pyx_v_i]) = 1;
+
+    /* "View.MemoryView":1353
+ *     for i in range(offset):
+ *         mslice.shape[i] = 1
+ *         mslice.strides[i] = mslice.strides[0]             # <<<<<<<<<<<<<<
+ *         mslice.suboffsets[i] = -1
+ * 
+ */
+    (__pyx_v_mslice->strides[__pyx_v_i]) = (__pyx_v_mslice->strides[0]);
+
+    /* "View.MemoryView":1354
+ *         mslice.shape[i] = 1
+ *         mslice.strides[i] = mslice.strides[0]
+ *         mslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+    (__pyx_v_mslice->suboffsets[__pyx_v_i]) = -1L;
+  }
+
+  /* "View.MemoryView":1340
+ * 
+ * @cname('__pyx_memoryview_broadcast_leading')
+ * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
+ *                             int ndim,
+ *                             int ndim_other) nogil:
+ */
+
+  /* function exit code */
+}
+
+/* "View.MemoryView":1362
+ * 
+ * @cname('__pyx_memoryview_refcount_copying')
+ * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object,             # <<<<<<<<<<<<<<
+ *                            int ndim, bint inc) nogil:
+ * 
+ */
+
+static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_dtype_is_object, int __pyx_v_ndim, int __pyx_v_inc) {
+  int __pyx_t_1;
+
+  /* "View.MemoryView":1366
+ * 
+ * 
+ *     if dtype_is_object:             # <<<<<<<<<<<<<<
+ *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,
+ *                                            dst.strides, ndim, inc)
+ */
+  __pyx_t_1 = (__pyx_v_dtype_is_object != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":1367
+ * 
+ *     if dtype_is_object:
+ *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,             # <<<<<<<<<<<<<<
+ *                                            dst.strides, ndim, inc)
+ * 
+ */
+    __pyx_memoryview_refcount_objects_in_slice_with_gil(__pyx_v_dst->data, __pyx_v_dst->shape, __pyx_v_dst->strides, __pyx_v_ndim, __pyx_v_inc);
+
+    /* "View.MemoryView":1366
+ * 
+ * 
+ *     if dtype_is_object:             # <<<<<<<<<<<<<<
+ *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,
+ *                                            dst.strides, ndim, inc)
+ */
+  }
+
+  /* "View.MemoryView":1362
+ * 
+ * @cname('__pyx_memoryview_refcount_copying')
+ * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object,             # <<<<<<<<<<<<<<
+ *                            int ndim, bint inc) nogil:
+ * 
+ */
+
+  /* function exit code */
+}
+
+/* "View.MemoryView":1371
+ * 
+ * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')
+ * cdef void refcount_objects_in_slice_with_gil(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
+ *                                              Py_ssize_t *strides, int ndim,
+ *                                              bint inc) with gil:
+ */
+
+static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {
+  __Pyx_RefNannyDeclarations
+  #ifdef WITH_THREAD
+  PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
+  #endif
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+ *                                              Py_ssize_t *strides, int ndim,
+ *                                              bint inc) with gil:
+ *     refcount_objects_in_slice(data, shape, strides, ndim, inc)             # <<<<<<<<<<<<<<
+ * 
+ * @cname('__pyx_memoryview_refcount_objects_in_slice')
+ */
+  __pyx_memoryview_refcount_objects_in_slice(__pyx_v_data, __pyx_v_shape, __pyx_v_strides, __pyx_v_ndim, __pyx_v_inc);
+
+  /* "View.MemoryView":1371
+ * 
+ * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')
+ * cdef void refcount_objects_in_slice_with_gil(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
+ *                                              Py_ssize_t *strides, int ndim,
+ *                                              bint inc) with gil:
+ */
+
+  /* function exit code */
+  __Pyx_RefNannyFinishContext();
+  #ifdef WITH_THREAD
+  __Pyx_PyGILState_Release(__pyx_gilstate_save);
+  #endif
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+ * 
+ * @cname('__pyx_memoryview_refcount_objects_in_slice')
+ * cdef void refcount_objects_in_slice(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
+ *                                     Py_ssize_t *strides, int ndim, bint inc):
+ *     cdef Py_ssize_t i
+ */
+
+static void __pyx_memoryview_refcount_objects_in_slice(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {
+  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
+  __Pyx_RefNannyDeclarations
+  Py_ssize_t __pyx_t_1;
+  Py_ssize_t __pyx_t_2;
+  Py_ssize_t __pyx_t_3;
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+  /* "View.MemoryView":1381
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+ *     for i in range(shape[0]):             # <<<<<<<<<<<<<<
+ *         if ndim == 1:
+ *             if inc:
+ */
+  __pyx_t_1 = (__pyx_v_shape[0]);
+  __pyx_t_2 = __pyx_t_1;
+  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
+    __pyx_v_i = __pyx_t_3;
+
+    /* "View.MemoryView":1382
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+ *     for i in range(shape[0]):
+ *         if ndim == 1:             # <<<<<<<<<<<<<<
+ *             if inc:
+ *                 Py_INCREF((<PyObject **> data)[0])
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+    __pyx_t_4 = ((__pyx_v_ndim == 1) != 0);
+    if (__pyx_t_4) {
+
+      /* "View.MemoryView":1383
+ *     for i in range(shape[0]):
+ *         if ndim == 1:
+ *             if inc:             # <<<<<<<<<<<<<<
+ *                 Py_INCREF((<PyObject **> data)[0])
+ *             else:
+ */
+      __pyx_t_4 = (__pyx_v_inc != 0);
+      if (__pyx_t_4) {
+
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+ *             if inc:
+ *                 Py_INCREF((<PyObject **> data)[0])             # <<<<<<<<<<<<<<
+ *             else:
+ *                 Py_DECREF((<PyObject **> data)[0])
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+        Py_INCREF((((PyObject **)__pyx_v_data)[0]));
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+ *         if ndim == 1:
+ *             if inc:             # <<<<<<<<<<<<<<
+ *                 Py_INCREF((<PyObject **> data)[0])
+ *             else:
+ */
+        goto __pyx_L6;
+      }
+
+      /* "View.MemoryView":1386
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+ *                 Py_DECREF((<PyObject **> data)[0])             # <<<<<<<<<<<<<<
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+ *             refcount_objects_in_slice(data, shape + 1, strides + 1,
+ */
+      /*else*/ {
+        Py_DECREF((((PyObject **)__pyx_v_data)[0]));
+      }
+      __pyx_L6:;
+
+      /* "View.MemoryView":1382
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+ *     for i in range(shape[0]):
+ *         if ndim == 1:             # <<<<<<<<<<<<<<
+ *             if inc:
+ *                 Py_INCREF((<PyObject **> data)[0])
+ */
+      goto __pyx_L5;
+    }
+
+    /* "View.MemoryView":1388
+ *                 Py_DECREF((<PyObject **> data)[0])
+ *         else:
+ *             refcount_objects_in_slice(data, shape + 1, strides + 1,             # <<<<<<<<<<<<<<
+ *                                       ndim - 1, inc)
+ * 
+ */
+    /*else*/ {
+
+      /* "View.MemoryView":1389
+ *         else:
+ *             refcount_objects_in_slice(data, shape + 1, strides + 1,
+ *                                       ndim - 1, inc)             # <<<<<<<<<<<<<<
+ * 
+ *         data += strides[0]
+ */
+      __pyx_memoryview_refcount_objects_in_slice(__pyx_v_data, (__pyx_v_shape + 1), (__pyx_v_strides + 1), (__pyx_v_ndim - 1), __pyx_v_inc);
+    }
+    __pyx_L5:;
+
+    /* "View.MemoryView":1391
+ *                                       ndim - 1, inc)
+ * 
+ *         data += strides[0]             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+    __pyx_v_data = (__pyx_v_data + (__pyx_v_strides[0]));
+  }
+
+  /* "View.MemoryView":1377
+ * 
+ * @cname('__pyx_memoryview_refcount_objects_in_slice')
+ * cdef void refcount_objects_in_slice(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
+ *                                     Py_ssize_t *strides, int ndim, bint inc):
+ *     cdef Py_ssize_t i
+ */
+
+  /* function exit code */
+  __Pyx_RefNannyFinishContext();
+}
+
+/* "View.MemoryView":1397
+ * 
+ * @cname('__pyx_memoryview_slice_assign_scalar')
+ * cdef void slice_assign_scalar(__Pyx_memviewslice *dst, int ndim,             # <<<<<<<<<<<<<<
+ *                               size_t itemsize, void *item,
+ *                               bint dtype_is_object) nogil:
+ */
+
+static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize, void *__pyx_v_item, int __pyx_v_dtype_is_object) {
+
+  /* "View.MemoryView":1400
+ *                               size_t itemsize, void *item,
+ *                               bint dtype_is_object) nogil:
+ *     refcount_copying(dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
+ *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim,
+ *                          itemsize, item)
+ */
+  __pyx_memoryview_refcount_copying(__pyx_v_dst, __pyx_v_dtype_is_object, __pyx_v_ndim, 0);
+
+  /* "View.MemoryView":1401
+ *                               bint dtype_is_object) nogil:
+ *     refcount_copying(dst, dtype_is_object, ndim, False)
+ *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim,             # <<<<<<<<<<<<<<
+ *                          itemsize, item)
+ *     refcount_copying(dst, dtype_is_object, ndim, True)
+ */
+  __pyx_memoryview__slice_assign_scalar(__pyx_v_dst->data, __pyx_v_dst->shape, __pyx_v_dst->strides, __pyx_v_ndim, __pyx_v_itemsize, __pyx_v_item);
+
+  /* "View.MemoryView":1403
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+ *                          itemsize, item)
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+ * 
+ * 
+ */
+  __pyx_memoryview_refcount_copying(__pyx_v_dst, __pyx_v_dtype_is_object, __pyx_v_ndim, 1);
+
+  /* "View.MemoryView":1397
+ * 
+ * @cname('__pyx_memoryview_slice_assign_scalar')
+ * cdef void slice_assign_scalar(__Pyx_memviewslice *dst, int ndim,             # <<<<<<<<<<<<<<
+ *                               size_t itemsize, void *item,
+ *                               bint dtype_is_object) nogil:
+ */
+
+  /* function exit code */
+}
+
+/* "View.MemoryView":1407
+ * 
+ * @cname('__pyx_memoryview__slice_assign_scalar')
+ * cdef void _slice_assign_scalar(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
+ *                               Py_ssize_t *strides, int ndim,
+ *                               size_t itemsize, void *item) nogil:
+ */
+
+static void __pyx_memoryview__slice_assign_scalar(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, size_t __pyx_v_itemsize, void *__pyx_v_item) {
+  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
+  Py_ssize_t __pyx_v_stride;
+  Py_ssize_t __pyx_v_extent;
+  int __pyx_t_1;
+  Py_ssize_t __pyx_t_2;
+  Py_ssize_t __pyx_t_3;
+  Py_ssize_t __pyx_t_4;
+
+  /* "View.MemoryView":1411
+ *                               size_t itemsize, void *item) nogil:
+ *     cdef Py_ssize_t i
+ *     cdef Py_ssize_t stride = strides[0]             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t extent = shape[0]
+ * 
+ */
+  __pyx_v_stride = (__pyx_v_strides[0]);
+
+  /* "View.MemoryView":1412
+ *     cdef Py_ssize_t i
+ *     cdef Py_ssize_t stride = strides[0]
+ *     cdef Py_ssize_t extent = shape[0]             # <<<<<<<<<<<<<<
+ * 
+ *     if ndim == 1:
+ */
+  __pyx_v_extent = (__pyx_v_shape[0]);
+
+  /* "View.MemoryView":1414
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+ * 
+ *     if ndim == 1:             # <<<<<<<<<<<<<<
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+ */
+  __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);
+  if (__pyx_t_1) {
+
+    /* "View.MemoryView":1415
+ * 
+ *     if ndim == 1:
+ *         for i in range(extent):             # <<<<<<<<<<<<<<
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+ *             data += stride
+ */
+    __pyx_t_2 = __pyx_v_extent;
+    __pyx_t_3 = __pyx_t_2;
+    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
+      __pyx_v_i = __pyx_t_4;
+
+      /* "View.MemoryView":1416
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+ *             memcpy(data, item, itemsize)             # <<<<<<<<<<<<<<
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+ *     else:
+ */
+      (void)(memcpy(__pyx_v_data, __pyx_v_item, __pyx_v_itemsize));
+
+      /* "View.MemoryView":1417
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+ *             data += stride             # <<<<<<<<<<<<<<
+ *     else:
+ *         for i in range(extent):
+ */
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+    }
+
+    /* "View.MemoryView":1414
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+ *     if ndim == 1:             # <<<<<<<<<<<<<<
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+    goto __pyx_L3;
+  }
+
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+    }
+    __pyx_t_6 = __Pyx_GetItemInt_Tuple(__pyx_v___pyx_state, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_6)) __PYX_ERR(1, 14, __pyx_L1_error)
+    __Pyx_GOTREF(__pyx_t_6);
+    __pyx_t_8 = NULL;
+    if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_7))) {
+      __pyx_t_8 = PyMethod_GET_SELF(__pyx_t_7);
+      if (likely(__pyx_t_8)) {
+        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_7);
+        __Pyx_INCREF(__pyx_t_8);
+        __Pyx_INCREF(function);
+        __Pyx_DECREF_SET(__pyx_t_7, function);
+      }
+    }
+    __pyx_t_1 = (__pyx_t_8) ? __Pyx_PyObject_Call2Args(__pyx_t_7, __pyx_t_8, __pyx_t_6) : __Pyx_PyObject_CallOneArg(__pyx_t_7, __pyx_t_6);
+    __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
+    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
+    if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 14, __pyx_L1_error)
+    __Pyx_GOTREF(__pyx_t_1);
+    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
+    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
+
+    /* "(tree fragment)":13
+ * cdef __pyx_unpickle_Enum__set_state(Enum __pyx_result, tuple __pyx_state):
+ *     __pyx_result.name = __pyx_state[0]
+ *     if len(__pyx_state) > 1 and hasattr(__pyx_result, '__dict__'):             # <<<<<<<<<<<<<<
+ *         __pyx_result.__dict__.update(__pyx_state[1])
+ */
+  }
+
+  /* "(tree fragment)":11
+ *         __pyx_unpickle_Enum__set_state(<Enum> __pyx_result, __pyx_state)
+ *     return __pyx_result
+ * cdef __pyx_unpickle_Enum__set_state(Enum __pyx_result, tuple __pyx_state):             # <<<<<<<<<<<<<<
+ *     __pyx_result.name = __pyx_state[0]
+ *     if len(__pyx_state) > 1 and hasattr(__pyx_result, '__dict__'):
+ */
+
+  /* function exit code */
+  __pyx_r = Py_None; __Pyx_INCREF(Py_None);
+  goto __pyx_L0;
+  __pyx_L1_error:;
+  __Pyx_XDECREF(__pyx_t_1);
+  __Pyx_XDECREF(__pyx_t_6);
+  __Pyx_XDECREF(__pyx_t_7);
+  __Pyx_XDECREF(__pyx_t_8);
+  __Pyx_AddTraceback("View.MemoryView.__pyx_unpickle_Enum__set_state", __pyx_clineno, __pyx_lineno, __pyx_filename);
+  __pyx_r = 0;
+  __pyx_L0:;
+  __Pyx_XGIVEREF(__pyx_r);
+  __Pyx_RefNannyFinishContext();
+  return __pyx_r;
+}
+static struct __pyx_vtabstruct_array __pyx_vtable_array;
+
+static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k) {
+  struct __pyx_array_obj *p;
+  PyObject *o;
+  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
+    o = (*t->tp_alloc)(t, 0);
+  } else {
+    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
+  }
+  if (unlikely(!o)) return 0;
+  p = ((struct __pyx_array_obj *)o);
+  p->__pyx_vtab = __pyx_vtabptr_array;
+  p->mode = ((PyObject*)Py_None); Py_INCREF(Py_None);
+  p->_format = ((PyObject*)Py_None); Py_INCREF(Py_None);
+  if (unlikely(__pyx_array___cinit__(o, a, k) < 0)) goto bad;
+  return o;
+  bad:
+  Py_DECREF(o); o = 0;
+  return NULL;
+}
+
+static void __pyx_tp_dealloc_array(PyObject *o) {
+  struct __pyx_array_obj *p = (struct __pyx_array_obj *)o;
+  #if CYTHON_USE_TP_FINALIZE
+  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
+    if (PyObject_CallFinalizerFromDealloc(o)) return;
+  }
+  #endif
+  {
+    PyObject *etype, *eval, *etb;
+    PyErr_Fetch(&etype, &eval, &etb);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
+    __pyx_array___dealloc__(o);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
+    PyErr_Restore(etype, eval, etb);
+  }
+  Py_CLEAR(p->mode);
+  Py_CLEAR(p->_format);
+  (*Py_TYPE(o)->tp_free)(o);
+}
+static PyObject *__pyx_sq_item_array(PyObject *o, Py_ssize_t i) {
+  PyObject *r;
+  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
+  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
+  Py_DECREF(x);
+  return r;
+}
+
+static int __pyx_mp_ass_subscript_array(PyObject *o, PyObject *i, PyObject *v) {
+  if (v) {
+    return __pyx_array___setitem__(o, i, v);
+  }
+  else {
+    PyErr_Format(PyExc_NotImplementedError,
+      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
+    return -1;
+  }
+}
+
+static PyObject *__pyx_tp_getattro_array(PyObject *o, PyObject *n) {
+  PyObject *v = __Pyx_PyObject_GenericGetAttr(o, n);
+  if (!v && PyErr_ExceptionMatches(PyExc_AttributeError)) {
+    PyErr_Clear();
+    v = __pyx_array___getattr__(o, n);
+  }
+  return v;
+}
+
+static PyObject *__pyx_getprop___pyx_array_memview(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_5array_7memview_1__get__(o);
+}
+
+static PyMethodDef __pyx_methods_array[] = {
+  {"__getattr__", (PyCFunction)__pyx_array___getattr__, METH_O|METH_COEXIST, 0},
+  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_array_1__reduce_cython__, METH_NOARGS, 0},
+  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_array_3__setstate_cython__, METH_O, 0},
+  {0, 0, 0, 0}
+};
+
+static struct PyGetSetDef __pyx_getsets_array[] = {
+  {(char *)"memview", __pyx_getprop___pyx_array_memview, 0, (char *)0, 0},
+  {0, 0, 0, 0, 0}
+};
+
+static PySequenceMethods __pyx_tp_as_sequence_array = {
+  __pyx_array___len__, /*sq_length*/
+  0, /*sq_concat*/
+  0, /*sq_repeat*/
+  __pyx_sq_item_array, /*sq_item*/
+  0, /*sq_slice*/
+  0, /*sq_ass_item*/
+  0, /*sq_ass_slice*/
+  0, /*sq_contains*/
+  0, /*sq_inplace_concat*/
+  0, /*sq_inplace_repeat*/
+};
+
+static PyMappingMethods __pyx_tp_as_mapping_array = {
+  __pyx_array___len__, /*mp_length*/
+  __pyx_array___getitem__, /*mp_subscript*/
+  __pyx_mp_ass_subscript_array, /*mp_ass_subscript*/
+};
+
+static PyBufferProcs __pyx_tp_as_buffer_array = {
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getreadbuffer*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getwritebuffer*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getsegcount*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getcharbuffer*/
+  #endif
+  __pyx_array_getbuffer, /*bf_getbuffer*/
+  0, /*bf_releasebuffer*/
+};
+
+static PyTypeObject __pyx_type___pyx_array = {
+  PyVarObject_HEAD_INIT(0, 0)
+  "welford.array", /*tp_name*/
+  sizeof(struct __pyx_array_obj), /*tp_basicsize*/
+  0, /*tp_itemsize*/
+  __pyx_tp_dealloc_array, /*tp_dealloc*/
+  #if PY_VERSION_HEX < 0x030800b4
+  0, /*tp_print*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4
+  0, /*tp_vectorcall_offset*/
+  #endif
+  0, /*tp_getattr*/
+  0, /*tp_setattr*/
+  #if PY_MAJOR_VERSION < 3
+  0, /*tp_compare*/
+  #endif
+  #if PY_MAJOR_VERSION >= 3
+  0, /*tp_as_async*/
+  #endif
+  0, /*tp_repr*/
+  0, /*tp_as_number*/
+  &__pyx_tp_as_sequence_array, /*tp_as_sequence*/
+  &__pyx_tp_as_mapping_array, /*tp_as_mapping*/
+  0, /*tp_hash*/
+  0, /*tp_call*/
+  0, /*tp_str*/
+  __pyx_tp_getattro_array, /*tp_getattro*/
+  0, /*tp_setattro*/
+  &__pyx_tp_as_buffer_array, /*tp_as_buffer*/
+  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
+  0, /*tp_doc*/
+  0, /*tp_traverse*/
+  0, /*tp_clear*/
+  0, /*tp_richcompare*/
+  0, /*tp_weaklistoffset*/
+  0, /*tp_iter*/
+  0, /*tp_iternext*/
+  __pyx_methods_array, /*tp_methods*/
+  0, /*tp_members*/
+  __pyx_getsets_array, /*tp_getset*/
+  0, /*tp_base*/
+  0, /*tp_dict*/
+  0, /*tp_descr_get*/
+  0, /*tp_descr_set*/
+  0, /*tp_dictoffset*/
+  0, /*tp_init*/
+  0, /*tp_alloc*/
+  __pyx_tp_new_array, /*tp_new*/
+  0, /*tp_free*/
+  0, /*tp_is_gc*/
+  0, /*tp_bases*/
+  0, /*tp_mro*/
+  0, /*tp_cache*/
+  0, /*tp_subclasses*/
+  0, /*tp_weaklist*/
+  0, /*tp_del*/
+  0, /*tp_version_tag*/
+  #if PY_VERSION_HEX >= 0x030400a1
+  0, /*tp_finalize*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b1
+  0, /*tp_vectorcall*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
+  0, /*tp_print*/
+  #endif
+};
+
+static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
+  struct __pyx_MemviewEnum_obj *p;
+  PyObject *o;
+  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
+    o = (*t->tp_alloc)(t, 0);
+  } else {
+    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
+  }
+  if (unlikely(!o)) return 0;
+  p = ((struct __pyx_MemviewEnum_obj *)o);
+  p->name = Py_None; Py_INCREF(Py_None);
+  return o;
+}
+
+static void __pyx_tp_dealloc_Enum(PyObject *o) {
+  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
+  #if CYTHON_USE_TP_FINALIZE
+  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
+    if (PyObject_CallFinalizerFromDealloc(o)) return;
+  }
+  #endif
+  PyObject_GC_UnTrack(o);
+  Py_CLEAR(p->name);
+  (*Py_TYPE(o)->tp_free)(o);
+}
+
+static int __pyx_tp_traverse_Enum(PyObject *o, visitproc v, void *a) {
+  int e;
+  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
+  if (p->name) {
+    e = (*v)(p->name, a); if (e) return e;
+  }
+  return 0;
+}
+
+static int __pyx_tp_clear_Enum(PyObject *o) {
+  PyObject* tmp;
+  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
+  tmp = ((PyObject*)p->name);
+  p->name = Py_None; Py_INCREF(Py_None);
+  Py_XDECREF(tmp);
+  return 0;
+}
+
+static PyMethodDef __pyx_methods_Enum[] = {
+  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_1__reduce_cython__, METH_NOARGS, 0},
+  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_3__setstate_cython__, METH_O, 0},
+  {0, 0, 0, 0}
+};
+
+static PyTypeObject __pyx_type___pyx_MemviewEnum = {
+  PyVarObject_HEAD_INIT(0, 0)
+  "welford.Enum", /*tp_name*/
+  sizeof(struct __pyx_MemviewEnum_obj), /*tp_basicsize*/
+  0, /*tp_itemsize*/
+  __pyx_tp_dealloc_Enum, /*tp_dealloc*/
+  #if PY_VERSION_HEX < 0x030800b4
+  0, /*tp_print*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4
+  0, /*tp_vectorcall_offset*/
+  #endif
+  0, /*tp_getattr*/
+  0, /*tp_setattr*/
+  #if PY_MAJOR_VERSION < 3
+  0, /*tp_compare*/
+  #endif
+  #if PY_MAJOR_VERSION >= 3
+  0, /*tp_as_async*/
+  #endif
+  __pyx_MemviewEnum___repr__, /*tp_repr*/
+  0, /*tp_as_number*/
+  0, /*tp_as_sequence*/
+  0, /*tp_as_mapping*/
+  0, /*tp_hash*/
+  0, /*tp_call*/
+  0, /*tp_str*/
+  0, /*tp_getattro*/
+  0, /*tp_setattro*/
+  0, /*tp_as_buffer*/
+  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
+  0, /*tp_doc*/
+  __pyx_tp_traverse_Enum, /*tp_traverse*/
+  __pyx_tp_clear_Enum, /*tp_clear*/
+  0, /*tp_richcompare*/
+  0, /*tp_weaklistoffset*/
+  0, /*tp_iter*/
+  0, /*tp_iternext*/
+  __pyx_methods_Enum, /*tp_methods*/
+  0, /*tp_members*/
+  0, /*tp_getset*/
+  0, /*tp_base*/
+  0, /*tp_dict*/
+  0, /*tp_descr_get*/
+  0, /*tp_descr_set*/
+  0, /*tp_dictoffset*/
+  __pyx_MemviewEnum___init__, /*tp_init*/
+  0, /*tp_alloc*/
+  __pyx_tp_new_Enum, /*tp_new*/
+  0, /*tp_free*/
+  0, /*tp_is_gc*/
+  0, /*tp_bases*/
+  0, /*tp_mro*/
+  0, /*tp_cache*/
+  0, /*tp_subclasses*/
+  0, /*tp_weaklist*/
+  0, /*tp_del*/
+  0, /*tp_version_tag*/
+  #if PY_VERSION_HEX >= 0x030400a1
+  0, /*tp_finalize*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b1
+  0, /*tp_vectorcall*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
+  0, /*tp_print*/
+  #endif
+};
+static struct __pyx_vtabstruct_memoryview __pyx_vtable_memoryview;
+
+static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k) {
+  struct __pyx_memoryview_obj *p;
+  PyObject *o;
+  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
+    o = (*t->tp_alloc)(t, 0);
+  } else {
+    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
+  }
+  if (unlikely(!o)) return 0;
+  p = ((struct __pyx_memoryview_obj *)o);
+  p->__pyx_vtab = __pyx_vtabptr_memoryview;
+  p->obj = Py_None; Py_INCREF(Py_None);
+  p->_size = Py_None; Py_INCREF(Py_None);
+  p->_array_interface = Py_None; Py_INCREF(Py_None);
+  p->view.obj = NULL;
+  if (unlikely(__pyx_memoryview___cinit__(o, a, k) < 0)) goto bad;
+  return o;
+  bad:
+  Py_DECREF(o); o = 0;
+  return NULL;
+}
+
+static void __pyx_tp_dealloc_memoryview(PyObject *o) {
+  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
+  #if CYTHON_USE_TP_FINALIZE
+  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
+    if (PyObject_CallFinalizerFromDealloc(o)) return;
+  }
+  #endif
+  PyObject_GC_UnTrack(o);
+  {
+    PyObject *etype, *eval, *etb;
+    PyErr_Fetch(&etype, &eval, &etb);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
+    __pyx_memoryview___dealloc__(o);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
+    PyErr_Restore(etype, eval, etb);
+  }
+  Py_CLEAR(p->obj);
+  Py_CLEAR(p->_size);
+  Py_CLEAR(p->_array_interface);
+  (*Py_TYPE(o)->tp_free)(o);
+}
+
+static int __pyx_tp_traverse_memoryview(PyObject *o, visitproc v, void *a) {
+  int e;
+  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
+  if (p->obj) {
+    e = (*v)(p->obj, a); if (e) return e;
+  }
+  if (p->_size) {
+    e = (*v)(p->_size, a); if (e) return e;
+  }
+  if (p->_array_interface) {
+    e = (*v)(p->_array_interface, a); if (e) return e;
+  }
+  if (p->view.obj) {
+    e = (*v)(p->view.obj, a); if (e) return e;
+  }
+  return 0;
+}
+
+static int __pyx_tp_clear_memoryview(PyObject *o) {
+  PyObject* tmp;
+  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
+  tmp = ((PyObject*)p->obj);
+  p->obj = Py_None; Py_INCREF(Py_None);
+  Py_XDECREF(tmp);
+  tmp = ((PyObject*)p->_size);
+  p->_size = Py_None; Py_INCREF(Py_None);
+  Py_XDECREF(tmp);
+  tmp = ((PyObject*)p->_array_interface);
+  p->_array_interface = Py_None; Py_INCREF(Py_None);
+  Py_XDECREF(tmp);
+  Py_CLEAR(p->view.obj);
+  return 0;
+}
+static PyObject *__pyx_sq_item_memoryview(PyObject *o, Py_ssize_t i) {
+  PyObject *r;
+  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
+  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
+  Py_DECREF(x);
+  return r;
+}
+
+static int __pyx_mp_ass_subscript_memoryview(PyObject *o, PyObject *i, PyObject *v) {
+  if (v) {
+    return __pyx_memoryview___setitem__(o, i, v);
+  }
+  else {
+    PyErr_Format(PyExc_NotImplementedError,
+      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
+    return -1;
+  }
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_T(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_1T_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_base(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_4base_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_shape(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_5shape_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_strides(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_7strides_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_suboffsets(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_10suboffsets_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_ndim(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_4ndim_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_itemsize(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_8itemsize_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_nbytes(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_6nbytes_1__get__(o);
+}
+
+static PyObject *__pyx_getprop___pyx_memoryview_size(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_10memoryview_4size_1__get__(o);
+}
+
+static PyMethodDef __pyx_methods_memoryview[] = {
+  {"is_c_contig", (PyCFunction)__pyx_memoryview_is_c_contig, METH_NOARGS, 0},
+  {"is_f_contig", (PyCFunction)__pyx_memoryview_is_f_contig, METH_NOARGS, 0},
+  {"copy", (PyCFunction)__pyx_memoryview_copy, METH_NOARGS, 0},
+  {"copy_fortran", (PyCFunction)__pyx_memoryview_copy_fortran, METH_NOARGS, 0},
+  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_1__reduce_cython__, METH_NOARGS, 0},
+  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_3__setstate_cython__, METH_O, 0},
+  {0, 0, 0, 0}
+};
+
+static struct PyGetSetDef __pyx_getsets_memoryview[] = {
+  {(char *)"T", __pyx_getprop___pyx_memoryview_T, 0, (char *)0, 0},
+  {(char *)"base", __pyx_getprop___pyx_memoryview_base, 0, (char *)0, 0},
+  {(char *)"shape", __pyx_getprop___pyx_memoryview_shape, 0, (char *)0, 0},
+  {(char *)"strides", __pyx_getprop___pyx_memoryview_strides, 0, (char *)0, 0},
+  {(char *)"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, (char *)0, 0},
+  {(char *)"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, (char *)0, 0},
+  {(char *)"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, (char *)0, 0},
+  {(char *)"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, (char *)0, 0},
+  {(char *)"size", __pyx_getprop___pyx_memoryview_size, 0, (char *)0, 0},
+  {0, 0, 0, 0, 0}
+};
+
+static PySequenceMethods __pyx_tp_as_sequence_memoryview = {
+  __pyx_memoryview___len__, /*sq_length*/
+  0, /*sq_concat*/
+  0, /*sq_repeat*/
+  __pyx_sq_item_memoryview, /*sq_item*/
+  0, /*sq_slice*/
+  0, /*sq_ass_item*/
+  0, /*sq_ass_slice*/
+  0, /*sq_contains*/
+  0, /*sq_inplace_concat*/
+  0, /*sq_inplace_repeat*/
+};
+
+static PyMappingMethods __pyx_tp_as_mapping_memoryview = {
+  __pyx_memoryview___len__, /*mp_length*/
+  __pyx_memoryview___getitem__, /*mp_subscript*/
+  __pyx_mp_ass_subscript_memoryview, /*mp_ass_subscript*/
+};
+
+static PyBufferProcs __pyx_tp_as_buffer_memoryview = {
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getreadbuffer*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getwritebuffer*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getsegcount*/
+  #endif
+  #if PY_MAJOR_VERSION < 3
+  0, /*bf_getcharbuffer*/
+  #endif
+  __pyx_memoryview_getbuffer, /*bf_getbuffer*/
+  0, /*bf_releasebuffer*/
+};
+
+static PyTypeObject __pyx_type___pyx_memoryview = {
+  PyVarObject_HEAD_INIT(0, 0)
+  "welford.memoryview", /*tp_name*/
+  sizeof(struct __pyx_memoryview_obj), /*tp_basicsize*/
+  0, /*tp_itemsize*/
+  __pyx_tp_dealloc_memoryview, /*tp_dealloc*/
+  #if PY_VERSION_HEX < 0x030800b4
+  0, /*tp_print*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4
+  0, /*tp_vectorcall_offset*/
+  #endif
+  0, /*tp_getattr*/
+  0, /*tp_setattr*/
+  #if PY_MAJOR_VERSION < 3
+  0, /*tp_compare*/
+  #endif
+  #if PY_MAJOR_VERSION >= 3
+  0, /*tp_as_async*/
+  #endif
+  __pyx_memoryview___repr__, /*tp_repr*/
+  0, /*tp_as_number*/
+  &__pyx_tp_as_sequence_memoryview, /*tp_as_sequence*/
+  &__pyx_tp_as_mapping_memoryview, /*tp_as_mapping*/
+  0, /*tp_hash*/
+  0, /*tp_call*/
+  __pyx_memoryview___str__, /*tp_str*/
+  0, /*tp_getattro*/
+  0, /*tp_setattro*/
+  &__pyx_tp_as_buffer_memoryview, /*tp_as_buffer*/
+  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
+  0, /*tp_doc*/
+  __pyx_tp_traverse_memoryview, /*tp_traverse*/
+  __pyx_tp_clear_memoryview, /*tp_clear*/
+  0, /*tp_richcompare*/
+  0, /*tp_weaklistoffset*/
+  0, /*tp_iter*/
+  0, /*tp_iternext*/
+  __pyx_methods_memoryview, /*tp_methods*/
+  0, /*tp_members*/
+  __pyx_getsets_memoryview, /*tp_getset*/
+  0, /*tp_base*/
+  0, /*tp_dict*/
+  0, /*tp_descr_get*/
+  0, /*tp_descr_set*/
+  0, /*tp_dictoffset*/
+  0, /*tp_init*/
+  0, /*tp_alloc*/
+  __pyx_tp_new_memoryview, /*tp_new*/
+  0, /*tp_free*/
+  0, /*tp_is_gc*/
+  0, /*tp_bases*/
+  0, /*tp_mro*/
+  0, /*tp_cache*/
+  0, /*tp_subclasses*/
+  0, /*tp_weaklist*/
+  0, /*tp_del*/
+  0, /*tp_version_tag*/
+  #if PY_VERSION_HEX >= 0x030400a1
+  0, /*tp_finalize*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b1
+  0, /*tp_vectorcall*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
+  0, /*tp_print*/
+  #endif
+};
+static struct __pyx_vtabstruct__memoryviewslice __pyx_vtable__memoryviewslice;
+
+static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k) {
+  struct __pyx_memoryviewslice_obj *p;
+  PyObject *o = __pyx_tp_new_memoryview(t, a, k);
+  if (unlikely(!o)) return 0;
+  p = ((struct __pyx_memoryviewslice_obj *)o);
+  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_memoryview*)__pyx_vtabptr__memoryviewslice;
+  p->from_object = Py_None; Py_INCREF(Py_None);
+  p->from_slice.memview = NULL;
+  return o;
+}
+
+static void __pyx_tp_dealloc__memoryviewslice(PyObject *o) {
+  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
+  #if CYTHON_USE_TP_FINALIZE
+  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
+    if (PyObject_CallFinalizerFromDealloc(o)) return;
+  }
+  #endif
+  PyObject_GC_UnTrack(o);
+  {
+    PyObject *etype, *eval, *etb;
+    PyErr_Fetch(&etype, &eval, &etb);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
+    __pyx_memoryviewslice___dealloc__(o);
+    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
+    PyErr_Restore(etype, eval, etb);
+  }
+  Py_CLEAR(p->from_object);
+  PyObject_GC_Track(o);
+  __pyx_tp_dealloc_memoryview(o);
+}
+
+static int __pyx_tp_traverse__memoryviewslice(PyObject *o, visitproc v, void *a) {
+  int e;
+  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
+  e = __pyx_tp_traverse_memoryview(o, v, a); if (e) return e;
+  if (p->from_object) {
+    e = (*v)(p->from_object, a); if (e) return e;
+  }
+  return 0;
+}
+
+static int __pyx_tp_clear__memoryviewslice(PyObject *o) {
+  PyObject* tmp;
+  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
+  __pyx_tp_clear_memoryview(o);
+  tmp = ((PyObject*)p->from_object);
+  p->from_object = Py_None; Py_INCREF(Py_None);
+  Py_XDECREF(tmp);
+  __PYX_XDEC_MEMVIEW(&p->from_slice, 1);
+  return 0;
+}
+
+static PyObject *__pyx_getprop___pyx_memoryviewslice_base(PyObject *o, CYTHON_UNUSED void *x) {
+  return __pyx_pw_15View_dot_MemoryView_16_memoryviewslice_4base_1__get__(o);
+}
+
+static PyMethodDef __pyx_methods__memoryviewslice[] = {
+  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_1__reduce_cython__, METH_NOARGS, 0},
+  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_3__setstate_cython__, METH_O, 0},
+  {0, 0, 0, 0}
+};
+
+static struct PyGetSetDef __pyx_getsets__memoryviewslice[] = {
+  {(char *)"base", __pyx_getprop___pyx_memoryviewslice_base, 0, (char *)0, 0},
+  {0, 0, 0, 0, 0}
+};
+
+static PyTypeObject __pyx_type___pyx_memoryviewslice = {
+  PyVarObject_HEAD_INIT(0, 0)
+  "welford._memoryviewslice", /*tp_name*/
+  sizeof(struct __pyx_memoryviewslice_obj), /*tp_basicsize*/
+  0, /*tp_itemsize*/
+  __pyx_tp_dealloc__memoryviewslice, /*tp_dealloc*/
+  #if PY_VERSION_HEX < 0x030800b4
+  0, /*tp_print*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4
+  0, /*tp_vectorcall_offset*/
+  #endif
+  0, /*tp_getattr*/
+  0, /*tp_setattr*/
+  #if PY_MAJOR_VERSION < 3
+  0, /*tp_compare*/
+  #endif
+  #if PY_MAJOR_VERSION >= 3
+  0, /*tp_as_async*/
+  #endif
+  #if CYTHON_COMPILING_IN_PYPY
+  __pyx_memoryview___repr__, /*tp_repr*/
+  #else
+  0, /*tp_repr*/
+  #endif
+  0, /*tp_as_number*/
+  0, /*tp_as_sequence*/
+  0, /*tp_as_mapping*/
+  0, /*tp_hash*/
+  0, /*tp_call*/
+  #if CYTHON_COMPILING_IN_PYPY
+  __pyx_memoryview___str__, /*tp_str*/
+  #else
+  0, /*tp_str*/
+  #endif
+  0, /*tp_getattro*/
+  0, /*tp_setattro*/
+  0, /*tp_as_buffer*/
+  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
+  "Internal class for passing memoryview slices to Python", /*tp_doc*/
+  __pyx_tp_traverse__memoryviewslice, /*tp_traverse*/
+  __pyx_tp_clear__memoryviewslice, /*tp_clear*/
+  0, /*tp_richcompare*/
+  0, /*tp_weaklistoffset*/
+  0, /*tp_iter*/
+  0, /*tp_iternext*/
+  __pyx_methods__memoryviewslice, /*tp_methods*/
+  0, /*tp_members*/
+  __pyx_getsets__memoryviewslice, /*tp_getset*/
+  0, /*tp_base*/
+  0, /*tp_dict*/
+  0, /*tp_descr_get*/
+  0, /*tp_descr_set*/
+  0, /*tp_dictoffset*/
+  0, /*tp_init*/
+  0, /*tp_alloc*/
+  __pyx_tp_new__memoryviewslice, /*tp_new*/
+  0, /*tp_free*/
+  0, /*tp_is_gc*/
+  0, /*tp_bases*/
+  0, /*tp_mro*/
+  0, /*tp_cache*/
+  0, /*tp_subclasses*/
+  0, /*tp_weaklist*/
+  0, /*tp_del*/
+  0, /*tp_version_tag*/
+  #if PY_VERSION_HEX >= 0x030400a1
+  0, /*tp_finalize*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b1
+  0, /*tp_vectorcall*/
+  #endif
+  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
+  0, /*tp_print*/
+  #endif
+};
+
+static PyMethodDef __pyx_methods[] = {
+  {0, 0, 0, 0}
+};
+
+#if PY_MAJOR_VERSION >= 3
+#if CYTHON_PEP489_MULTI_PHASE_INIT
+static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def); /*proto*/
+static int __pyx_pymod_exec_welford(PyObject* module); /*proto*/
+static PyModuleDef_Slot __pyx_moduledef_slots[] = {
+  {Py_mod_create, (void*)__pyx_pymod_create},
+  {Py_mod_exec, (void*)__pyx_pymod_exec_welford},
+  {0, NULL}
+};
+#endif
+
+static struct PyModuleDef __pyx_moduledef = {
+    PyModuleDef_HEAD_INIT,
+    "welford",
+    0, /* m_doc */
+  #if CYTHON_PEP489_MULTI_PHASE_INIT
+    0, /* m_size */
+  #else
+    -1, /* m_size */
+  #endif
+    __pyx_methods /* m_methods */,
+  #if CYTHON_PEP489_MULTI_PHASE_INIT
+    __pyx_moduledef_slots, /* m_slots */
+  #else
+    NULL, /* m_reload */
+  #endif
+    NULL, /* m_traverse */
+    NULL, /* m_clear */
+    NULL /* m_free */
+};
+#endif
+#ifndef CYTHON_SMALL_CODE
+#if defined(__clang__)
+    #define CYTHON_SMALL_CODE
+#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
+    #define CYTHON_SMALL_CODE __attribute__((cold))
+#else
+    #define CYTHON_SMALL_CODE
+#endif
+#endif
+
+static __Pyx_StringTabEntry __pyx_string_tab[] = {
+  {&__pyx_n_s_ASCII, __pyx_k_ASCII, sizeof(__pyx_k_ASCII), 0, 0, 1, 1},
+  {&__pyx_kp_s_Buffer_view_does_not_expose_stri, __pyx_k_Buffer_view_does_not_expose_stri, sizeof(__pyx_k_Buffer_view_does_not_expose_stri), 0, 0, 1, 0},
+  {&__pyx_kp_s_Can_only_create_a_buffer_that_is, __pyx_k_Can_only_create_a_buffer_that_is, sizeof(__pyx_k_Can_only_create_a_buffer_that_is), 0, 0, 1, 0},
+  {&__pyx_kp_s_Cannot_assign_to_read_only_memor, __pyx_k_Cannot_assign_to_read_only_memor, sizeof(__pyx_k_Cannot_assign_to_read_only_memor), 0, 0, 1, 0},
+  {&__pyx_kp_s_Cannot_create_writable_memory_vi, __pyx_k_Cannot_create_writable_memory_vi, sizeof(__pyx_k_Cannot_create_writable_memory_vi), 0, 0, 1, 0},
+  {&__pyx_kp_s_Cannot_index_with_type_s, __pyx_k_Cannot_index_with_type_s, sizeof(__pyx_k_Cannot_index_with_type_s), 0, 0, 1, 0},
+  {&__pyx_n_s_Ellipsis, __pyx_k_Ellipsis, sizeof(__pyx_k_Ellipsis), 0, 0, 1, 1},
+  {&__pyx_kp_s_Empty_shape_tuple_for_cython_arr, __pyx_k_Empty_shape_tuple_for_cython_arr, sizeof(__pyx_k_Empty_shape_tuple_for_cython_arr), 0, 0, 1, 0},
+  {&__pyx_kp_s_Incompatible_checksums_s_vs_0xb0, __pyx_k_Incompatible_checksums_s_vs_0xb0, sizeof(__pyx_k_Incompatible_checksums_s_vs_0xb0), 0, 0, 1, 0},
+  {&__pyx_n_s_IndexError, __pyx_k_IndexError, sizeof(__pyx_k_IndexError), 0, 0, 1, 1},
+  {&__pyx_kp_s_Indirect_dimensions_not_supporte, __pyx_k_Indirect_dimensions_not_supporte, sizeof(__pyx_k_Indirect_dimensions_not_supporte), 0, 0, 1, 0},
+  {&__pyx_kp_s_Invalid_mode_expected_c_or_fortr, __pyx_k_Invalid_mode_expected_c_or_fortr, sizeof(__pyx_k_Invalid_mode_expected_c_or_fortr), 0, 0, 1, 0},
+  {&__pyx_kp_s_Invalid_shape_in_axis_d_d, __pyx_k_Invalid_shape_in_axis_d_d, sizeof(__pyx_k_Invalid_shape_in_axis_d_d), 0, 0, 1, 0},
+  {&__pyx_n_s_MemoryError, __pyx_k_MemoryError, sizeof(__pyx_k_MemoryError), 0, 0, 1, 1},
+  {&__pyx_kp_s_MemoryView_of_r_at_0x_x, __pyx_k_MemoryView_of_r_at_0x_x, sizeof(__pyx_k_MemoryView_of_r_at_0x_x), 0, 0, 1, 0},
+  {&__pyx_kp_s_MemoryView_of_r_object, __pyx_k_MemoryView_of_r_object, sizeof(__pyx_k_MemoryView_of_r_object), 0, 0, 1, 0},
+  {&__pyx_n_b_O, __pyx_k_O, sizeof(__pyx_k_O), 0, 0, 0, 1},
+  {&__pyx_kp_s_Out_of_bounds_on_buffer_access_a, __pyx_k_Out_of_bounds_on_buffer_access_a, sizeof(__pyx_k_Out_of_bounds_on_buffer_access_a), 0, 0, 1, 0},
+  {&__pyx_n_s_PickleError, __pyx_k_PickleError, sizeof(__pyx_k_PickleError), 0, 0, 1, 1},
+  {&__pyx_n_s_TypeError, __pyx_k_TypeError, sizeof(__pyx_k_TypeError), 0, 0, 1, 1},
+  {&__pyx_kp_s_Unable_to_convert_item_to_object, __pyx_k_Unable_to_convert_item_to_object, sizeof(__pyx_k_Unable_to_convert_item_to_object), 0, 0, 1, 0},
+  {&__pyx_n_s_ValueError, __pyx_k_ValueError, sizeof(__pyx_k_ValueError), 0, 0, 1, 1},
+  {&__pyx_n_s_View_MemoryView, __pyx_k_View_MemoryView, sizeof(__pyx_k_View_MemoryView), 0, 0, 1, 1},
+  {&__pyx_n_s_allocate_buffer, __pyx_k_allocate_buffer, sizeof(__pyx_k_allocate_buffer), 0, 0, 1, 1},
+  {&__pyx_n_s_alpha, __pyx_k_alpha, sizeof(__pyx_k_alpha), 0, 0, 1, 1},
+  {&__pyx_n_s_avg, __pyx_k_avg, sizeof(__pyx_k_avg), 0, 0, 1, 1},
+  {&__pyx_n_s_base, __pyx_k_base, sizeof(__pyx_k_base), 0, 0, 1, 1},
+  {&__pyx_n_s_c, __pyx_k_c, sizeof(__pyx_k_c), 0, 0, 1, 1},
+  {&__pyx_n_u_c, __pyx_k_c, sizeof(__pyx_k_c), 0, 1, 0, 1},
+  {&__pyx_n_s_class, __pyx_k_class, sizeof(__pyx_k_class), 0, 0, 1, 1},
+  {&__pyx_n_s_cline_in_traceback, __pyx_k_cline_in_traceback, sizeof(__pyx_k_cline_in_traceback), 0, 0, 1, 1},
+  {&__pyx_kp_s_contiguous_and_direct, __pyx_k_contiguous_and_direct, sizeof(__pyx_k_contiguous_and_direct), 0, 0, 1, 0},
+  {&__pyx_kp_s_contiguous_and_indirect, __pyx_k_contiguous_and_indirect, sizeof(__pyx_k_contiguous_and_indirect), 0, 0, 1, 0},
+  {&__pyx_n_s_dict, __pyx_k_dict, sizeof(__pyx_k_dict), 0, 0, 1, 1},
+  {&__pyx_n_s_dtype_is_object, __pyx_k_dtype_is_object, sizeof(__pyx_k_dtype_is_object), 0, 0, 1, 1},
+  {&__pyx_n_s_encode, __pyx_k_encode, sizeof(__pyx_k_encode), 0, 0, 1, 1},
+  {&__pyx_n_s_enumerate, __pyx_k_enumerate, sizeof(__pyx_k_enumerate), 0, 0, 1, 1},
+  {&__pyx_n_s_error, __pyx_k_error, sizeof(__pyx_k_error), 0, 0, 1, 1},
+  {&__pyx_kp_s_fastXPCS_cython_welford_pyx, __pyx_k_fastXPCS_cython_welford_pyx, sizeof(__pyx_k_fastXPCS_cython_welford_pyx), 0, 0, 1, 0},
+  {&__pyx_n_s_flags, __pyx_k_flags, sizeof(__pyx_k_flags), 0, 0, 1, 1},
+  {&__pyx_n_s_format, __pyx_k_format, sizeof(__pyx_k_format), 0, 0, 1, 1},
+  {&__pyx_n_s_fortran, __pyx_k_fortran, sizeof(__pyx_k_fortran), 0, 0, 1, 1},
+  {&__pyx_n_u_fortran, __pyx_k_fortran, sizeof(__pyx_k_fortran), 0, 1, 0, 1},
+  {&__pyx_n_s_getstate, __pyx_k_getstate, sizeof(__pyx_k_getstate), 0, 0, 1, 1},
+  {&__pyx_kp_s_got_differing_extents_in_dimensi, __pyx_k_got_differing_extents_in_dimensi, sizeof(__pyx_k_got_differing_extents_in_dimensi), 0, 0, 1, 0},
+  {&__pyx_n_s_id, __pyx_k_id, sizeof(__pyx_k_id), 0, 0, 1, 1},
+  {&__pyx_n_s_import, __pyx_k_import, sizeof(__pyx_k_import), 0, 0, 1, 1},
+  {&__pyx_n_s_itemsize, __pyx_k_itemsize, sizeof(__pyx_k_itemsize), 0, 0, 1, 1},
+  {&__pyx_kp_s_itemsize_0_for_cython_array, __pyx_k_itemsize_0_for_cython_array, sizeof(__pyx_k_itemsize_0_for_cython_array), 0, 0, 1, 0},
+  {&__pyx_n_s_main, __pyx_k_main, sizeof(__pyx_k_main), 0, 0, 1, 1},
+  {&__pyx_n_s_memview, __pyx_k_memview, sizeof(__pyx_k_memview), 0, 0, 1, 1},
+  {&__pyx_n_s_mode, __pyx_k_mode, sizeof(__pyx_k_mode), 0, 0, 1, 1},
+  {&__pyx_n_s_name, __pyx_k_name, sizeof(__pyx_k_name), 0, 0, 1, 1},
+  {&__pyx_n_s_name_2, __pyx_k_name_2, sizeof(__pyx_k_name_2), 0, 0, 1, 1},
+  {&__pyx_n_s_ndim, __pyx_k_ndim, sizeof(__pyx_k_ndim), 0, 0, 1, 1},
+  {&__pyx_n_s_new, __pyx_k_new, sizeof(__pyx_k_new), 0, 0, 1, 1},
+  {&__pyx_kp_s_no_default___reduce___due_to_non, __pyx_k_no_default___reduce___due_to_non, sizeof(__pyx_k_no_default___reduce___due_to_non), 0, 0, 1, 0},
+  {&__pyx_n_s_obj, __pyx_k_obj, sizeof(__pyx_k_obj), 0, 0, 1, 1},
+  {&__pyx_n_s_pack, __pyx_k_pack, sizeof(__pyx_k_pack), 0, 0, 1, 1},
+  {&__pyx_n_s_pickle, __pyx_k_pickle, sizeof(__pyx_k_pickle), 0, 0, 1, 1},
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+
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+#define __Pyx_PyMODINIT_FUNC PyMODINIT_FUNC
+#elif PY_MAJOR_VERSION < 3
+#ifdef __cplusplus
+#define __Pyx_PyMODINIT_FUNC extern "C" void
+#else
+#define __Pyx_PyMODINIT_FUNC void
+#endif
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+#ifdef __cplusplus
+#define __Pyx_PyMODINIT_FUNC extern "C" PyObject *
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+#define __Pyx_PyMODINIT_FUNC PyObject *
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+
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+__Pyx_PyMODINIT_FUNC initwelford(void) CYTHON_SMALL_CODE; /*proto*/
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+}
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+}
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+}
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+ * cdef indirect = Enum("<strided and indirect>")             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  __pyx_t_1 = __Pyx_PyObject_Call(((PyObject *)__pyx_MemviewEnum_type), __pyx_tuple__23, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 288, __pyx_L1_error)
+  __Pyx_GOTREF(__pyx_t_1);
+  __Pyx_XGOTREF(indirect);
+  __Pyx_DECREF_SET(indirect, __pyx_t_1);
+  __Pyx_GIVEREF(__pyx_t_1);
+  __pyx_t_1 = 0;
+
+  /* "View.MemoryView":291
+ * 
+ * 
+ * cdef contiguous = Enum("<contiguous and direct>")             # <<<<<<<<<<<<<<
+ * cdef indirect_contiguous = Enum("<contiguous and indirect>")
+ * 
+ */
+  __pyx_t_1 = __Pyx_PyObject_Call(((PyObject *)__pyx_MemviewEnum_type), __pyx_tuple__24, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 291, __pyx_L1_error)
+  __Pyx_GOTREF(__pyx_t_1);
+  __Pyx_XGOTREF(contiguous);
+  __Pyx_DECREF_SET(contiguous, __pyx_t_1);
+  __Pyx_GIVEREF(__pyx_t_1);
+  __pyx_t_1 = 0;
+
+  /* "View.MemoryView":292
+ * 
+ * cdef contiguous = Enum("<contiguous and direct>")
+ * cdef indirect_contiguous = Enum("<contiguous and indirect>")             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  __pyx_t_1 = __Pyx_PyObject_Call(((PyObject *)__pyx_MemviewEnum_type), __pyx_tuple__25, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 292, __pyx_L1_error)
+  __Pyx_GOTREF(__pyx_t_1);
+  __Pyx_XGOTREF(indirect_contiguous);
+  __Pyx_DECREF_SET(indirect_contiguous, __pyx_t_1);
+  __Pyx_GIVEREF(__pyx_t_1);
+  __pyx_t_1 = 0;
+
+  /* "View.MemoryView":316
+ * 
+ * DEF THREAD_LOCKS_PREALLOCATED = 8
+ * cdef int __pyx_memoryview_thread_locks_used = 0             # <<<<<<<<<<<<<<
+ * cdef PyThread_type_lock[THREAD_LOCKS_PREALLOCATED] __pyx_memoryview_thread_locks = [
+ *     PyThread_allocate_lock(),
+ */
+  __pyx_memoryview_thread_locks_used = 0;
+
+  /* "View.MemoryView":317
+ * DEF THREAD_LOCKS_PREALLOCATED = 8
+ * cdef int __pyx_memoryview_thread_locks_used = 0
+ * cdef PyThread_type_lock[THREAD_LOCKS_PREALLOCATED] __pyx_memoryview_thread_locks = [             # <<<<<<<<<<<<<<
+ *     PyThread_allocate_lock(),
+ *     PyThread_allocate_lock(),
+ */
+  __pyx_t_2[0] = PyThread_allocate_lock();
+  __pyx_t_2[1] = PyThread_allocate_lock();
+  __pyx_t_2[2] = PyThread_allocate_lock();
+  __pyx_t_2[3] = PyThread_allocate_lock();
+  __pyx_t_2[4] = PyThread_allocate_lock();
+  __pyx_t_2[5] = PyThread_allocate_lock();
+  __pyx_t_2[6] = PyThread_allocate_lock();
+  __pyx_t_2[7] = PyThread_allocate_lock();
+  memcpy(&(__pyx_memoryview_thread_locks[0]), __pyx_t_2, sizeof(__pyx_memoryview_thread_locks[0]) * (8));
+
+  /* "View.MemoryView":549
+ *         info.obj = self
+ * 
+ *     __pyx_getbuffer = capsule(<void *> &__pyx_memoryview_getbuffer, "getbuffer(obj, view, flags)")             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  __pyx_t_1 = __pyx_capsule_create(((void *)(&__pyx_memoryview_getbuffer)), ((char *)"getbuffer(obj, view, flags)")); if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 549, __pyx_L1_error)
+  __Pyx_GOTREF(__pyx_t_1);
+  if (PyDict_SetItem((PyObject *)__pyx_memoryview_type->tp_dict, __pyx_n_s_pyx_getbuffer, __pyx_t_1) < 0) __PYX_ERR(1, 549, __pyx_L1_error)
+  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
+  PyType_Modified(__pyx_memoryview_type);
+
+  /* "View.MemoryView":995
+ *         return self.from_object
+ * 
+ *     __pyx_getbuffer = capsule(<void *> &__pyx_memoryview_getbuffer, "getbuffer(obj, view, flags)")             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  __pyx_t_1 = __pyx_capsule_create(((void *)(&__pyx_memoryview_getbuffer)), ((char *)"getbuffer(obj, view, flags)")); if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 995, __pyx_L1_error)
+  __Pyx_GOTREF(__pyx_t_1);
+  if (PyDict_SetItem((PyObject *)__pyx_memoryviewslice_type->tp_dict, __pyx_n_s_pyx_getbuffer, __pyx_t_1) < 0) __PYX_ERR(1, 995, __pyx_L1_error)
+  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
+  PyType_Modified(__pyx_memoryviewslice_type);
+
+  /* "(tree fragment)":1
+ * def __pyx_unpickle_Enum(__pyx_type, long __pyx_checksum, __pyx_state):             # <<<<<<<<<<<<<<
+ *     cdef object __pyx_PickleError
+ *     cdef object __pyx_result
+ */
+  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_15View_dot_MemoryView_1__pyx_unpickle_Enum, NULL, __pyx_n_s_View_MemoryView); if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 1, __pyx_L1_error)
+  __Pyx_GOTREF(__pyx_t_1);
+  if (PyDict_SetItem(__pyx_d, __pyx_n_s_pyx_unpickle_Enum, __pyx_t_1) < 0) __PYX_ERR(1, 1, __pyx_L1_error)
+  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
+
+  /* "(tree fragment)":11
+ *         __pyx_unpickle_Enum__set_state(<Enum> __pyx_result, __pyx_state)
+ *     return __pyx_result
+ * cdef __pyx_unpickle_Enum__set_state(Enum __pyx_result, tuple __pyx_state):             # <<<<<<<<<<<<<<
+ *     __pyx_result.name = __pyx_state[0]
+ *     if len(__pyx_state) > 1 and hasattr(__pyx_result, '__dict__'):
+ */
+
+  /*--- Wrapped vars code ---*/
+
+  goto __pyx_L0;
+  __pyx_L1_error:;
+  __Pyx_XDECREF(__pyx_t_1);
+  if (__pyx_m) {
+    if (__pyx_d) {
+      __Pyx_AddTraceback("init welford", __pyx_clineno, __pyx_lineno, __pyx_filename);
+    }
+    Py_CLEAR(__pyx_m);
+  } else if (!PyErr_Occurred()) {
+    PyErr_SetString(PyExc_ImportError, "init welford");
+  }
+  __pyx_L0:;
+  __Pyx_RefNannyFinishContext();
+  #if CYTHON_PEP489_MULTI_PHASE_INIT
+  return (__pyx_m != NULL) ? 0 : -1;
+  #elif PY_MAJOR_VERSION >= 3
+  return __pyx_m;
+  #else
+  return;
+  #endif
+}
+
+/* --- Runtime support code --- */
+/* Refnanny */
+#if CYTHON_REFNANNY
+static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
+    PyObject *m = NULL, *p = NULL;
+    void *r = NULL;
+    m = PyImport_ImportModule(modname);
+    if (!m) goto end;
+    p = PyObject_GetAttrString(m, "RefNannyAPI");
+    if (!p) goto end;
+    r = PyLong_AsVoidPtr(p);
+end:
+    Py_XDECREF(p);
+    Py_XDECREF(m);
+    return (__Pyx_RefNannyAPIStruct *)r;
+}
+#endif
+
+/* PyObjectGetAttrStr */
+#if CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
+    PyTypeObject* tp = Py_TYPE(obj);
+    if (likely(tp->tp_getattro))
+        return tp->tp_getattro(obj, attr_name);
+#if PY_MAJOR_VERSION < 3
+    if (likely(tp->tp_getattr))
+        return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
+#endif
+    return PyObject_GetAttr(obj, attr_name);
+}
+#endif
+
+/* GetBuiltinName */
+static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
+    PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
+    if (unlikely(!result)) {
+        PyErr_Format(PyExc_NameError,
+#if PY_MAJOR_VERSION >= 3
+            "name '%U' is not defined", name);
+#else
+            "name '%.200s' is not defined", PyString_AS_STRING(name));
+#endif
+    }
+    return result;
+}
+
+/* RaiseArgTupleInvalid */
+static void __Pyx_RaiseArgtupleInvalid(
+    const char* func_name,
+    int exact,
+    Py_ssize_t num_min,
+    Py_ssize_t num_max,
+    Py_ssize_t num_found)
+{
+    Py_ssize_t num_expected;
+    const char *more_or_less;
+    if (num_found < num_min) {
+        num_expected = num_min;
+        more_or_less = "at least";
+    } else {
+        num_expected = num_max;
+        more_or_less = "at most";
+    }
+    if (exact) {
+        more_or_less = "exactly";
+    }
+    PyErr_Format(PyExc_TypeError,
+                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
+                 func_name, more_or_less, num_expected,
+                 (num_expected == 1) ? "" : "s", num_found);
+}
+
+/* RaiseDoubleKeywords */
+static void __Pyx_RaiseDoubleKeywordsError(
+    const char* func_name,
+    PyObject* kw_name)
+{
+    PyErr_Format(PyExc_TypeError,
+        #if PY_MAJOR_VERSION >= 3
+        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
+        #else
+        "%s() got multiple values for keyword argument '%s'", func_name,
+        PyString_AsString(kw_name));
+        #endif
+}
+
+/* ParseKeywords */
+static int __Pyx_ParseOptionalKeywords(
+    PyObject *kwds,
+    PyObject **argnames[],
+    PyObject *kwds2,
+    PyObject *values[],
+    Py_ssize_t num_pos_args,
+    const char* function_name)
+{
+    PyObject *key = 0, *value = 0;
+    Py_ssize_t pos = 0;
+    PyObject*** name;
+    PyObject*** first_kw_arg = argnames + num_pos_args;
+    while (PyDict_Next(kwds, &pos, &key, &value)) {
+        name = first_kw_arg;
+        while (*name && (**name != key)) name++;
+        if (*name) {
+            values[name-argnames] = value;
+            continue;
+        }
+        name = first_kw_arg;
+        #if PY_MAJOR_VERSION < 3
+        if (likely(PyString_Check(key))) {
+            while (*name) {
+                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
+                        && _PyString_Eq(**name, key)) {
+                    values[name-argnames] = value;
+                    break;
+                }
+                name++;
+            }
+            if (*name) continue;
+            else {
+                PyObject*** argname = argnames;
+                while (argname != first_kw_arg) {
+                    if ((**argname == key) || (
+                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
+                             && _PyString_Eq(**argname, key))) {
+                        goto arg_passed_twice;
+                    }
+                    argname++;
+                }
+            }
+        } else
+        #endif
+        if (likely(PyUnicode_Check(key))) {
+            while (*name) {
+                int cmp = (**name == key) ? 0 :
+                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
+                    (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
+                #endif
+                    PyUnicode_Compare(**name, key);
+                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
+                if (cmp == 0) {
+                    values[name-argnames] = value;
+                    break;
+                }
+                name++;
+            }
+            if (*name) continue;
+            else {
+                PyObject*** argname = argnames;
+                while (argname != first_kw_arg) {
+                    int cmp = (**argname == key) ? 0 :
+                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
+                        (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
+                    #endif
+                        PyUnicode_Compare(**argname, key);
+                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
+                    if (cmp == 0) goto arg_passed_twice;
+                    argname++;
+                }
+            }
+        } else
+            goto invalid_keyword_type;
+        if (kwds2) {
+            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
+        } else {
+            goto invalid_keyword;
+        }
+    }
+    return 0;
+arg_passed_twice:
+    __Pyx_RaiseDoubleKeywordsError(function_name, key);
+    goto bad;
+invalid_keyword_type:
+    PyErr_Format(PyExc_TypeError,
+        "%.200s() keywords must be strings", function_name);
+    goto bad;
+invalid_keyword:
+    PyErr_Format(PyExc_TypeError,
+    #if PY_MAJOR_VERSION < 3
+        "%.200s() got an unexpected keyword argument '%.200s'",
+        function_name, PyString_AsString(key));
+    #else
+        "%s() got an unexpected keyword argument '%U'",
+        function_name, key);
+    #endif
+bad:
+    return -1;
+}
+
+/* MemviewSliceInit */
+static int
+__Pyx_init_memviewslice(struct __pyx_memoryview_obj *memview,
+                        int ndim,
+                        __Pyx_memviewslice *memviewslice,
+                        int memview_is_new_reference)
+{
+    __Pyx_RefNannyDeclarations
+    int i, retval=-1;
+    Py_buffer *buf = &memview->view;
+    __Pyx_RefNannySetupContext("init_memviewslice", 0);
+    if (unlikely(memviewslice->memview || memviewslice->data)) {
+        PyErr_SetString(PyExc_ValueError,
+            "memviewslice is already initialized!");
+        goto fail;
+    }
+    if (buf->strides) {
+        for (i = 0; i < ndim; i++) {
+            memviewslice->strides[i] = buf->strides[i];
+        }
+    } else {
+        Py_ssize_t stride = buf->itemsize;
+        for (i = ndim - 1; i >= 0; i--) {
+            memviewslice->strides[i] = stride;
+            stride *= buf->shape[i];
+        }
+    }
+    for (i = 0; i < ndim; i++) {
+        memviewslice->shape[i]   = buf->shape[i];
+        if (buf->suboffsets) {
+            memviewslice->suboffsets[i] = buf->suboffsets[i];
+        } else {
+            memviewslice->suboffsets[i] = -1;
+        }
+    }
+    memviewslice->memview = memview;
+    memviewslice->data = (char *)buf->buf;
+    if (__pyx_add_acquisition_count(memview) == 0 && !memview_is_new_reference) {
+        Py_INCREF(memview);
+    }
+    retval = 0;
+    goto no_fail;
+fail:
+    memviewslice->memview = 0;
+    memviewslice->data = 0;
+    retval = -1;
+no_fail:
+    __Pyx_RefNannyFinishContext();
+    return retval;
+}
+#ifndef Py_NO_RETURN
+#define Py_NO_RETURN
+#endif
+static void __pyx_fatalerror(const char *fmt, ...) Py_NO_RETURN {
+    va_list vargs;
+    char msg[200];
+#ifdef HAVE_STDARG_PROTOTYPES
+    va_start(vargs, fmt);
+#else
+    va_start(vargs);
+#endif
+    vsnprintf(msg, 200, fmt, vargs);
+    va_end(vargs);
+    Py_FatalError(msg);
+}
+static CYTHON_INLINE int
+__pyx_add_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
+                                   PyThread_type_lock lock)
+{
+    int result;
+    PyThread_acquire_lock(lock, 1);
+    result = (*acquisition_count)++;
+    PyThread_release_lock(lock);
+    return result;
+}
+static CYTHON_INLINE int
+__pyx_sub_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
+                                   PyThread_type_lock lock)
+{
+    int result;
+    PyThread_acquire_lock(lock, 1);
+    result = (*acquisition_count)--;
+    PyThread_release_lock(lock);
+    return result;
+}
+static CYTHON_INLINE void
+__Pyx_INC_MEMVIEW(__Pyx_memviewslice *memslice, int have_gil, int lineno)
+{
+    int first_time;
+    struct __pyx_memoryview_obj *memview = memslice->memview;
+    if (unlikely(!memview || (PyObject *) memview == Py_None))
+        return;
+    if (unlikely(__pyx_get_slice_count(memview) < 0))
+        __pyx_fatalerror("Acquisition count is %d (line %d)",
+                         __pyx_get_slice_count(memview), lineno);
+    first_time = __pyx_add_acquisition_count(memview) == 0;
+    if (unlikely(first_time)) {
+        if (have_gil) {
+            Py_INCREF((PyObject *) memview);
+        } else {
+            PyGILState_STATE _gilstate = PyGILState_Ensure();
+            Py_INCREF((PyObject *) memview);
+            PyGILState_Release(_gilstate);
+        }
+    }
+}
+static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *memslice,
+                                             int have_gil, int lineno) {
+    int last_time;
+    struct __pyx_memoryview_obj *memview = memslice->memview;
+    if (unlikely(!memview || (PyObject *) memview == Py_None)) {
+        memslice->memview = NULL;
+        return;
+    }
+    if (unlikely(__pyx_get_slice_count(memview) <= 0))
+        __pyx_fatalerror("Acquisition count is %d (line %d)",
+                         __pyx_get_slice_count(memview), lineno);
+    last_time = __pyx_sub_acquisition_count(memview) == 1;
+    memslice->data = NULL;
+    if (unlikely(last_time)) {
+        if (have_gil) {
+            Py_CLEAR(memslice->memview);
+        } else {
+            PyGILState_STATE _gilstate = PyGILState_Ensure();
+            Py_CLEAR(memslice->memview);
+            PyGILState_Release(_gilstate);
+        }
+    } else {
+        memslice->memview = NULL;
+    }
+}
+
+/* ArgTypeTest */
+static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
+{
+    if (unlikely(!type)) {
+        PyErr_SetString(PyExc_SystemError, "Missing type object");
+        return 0;
+    }
+    else if (exact) {
+        #if PY_MAJOR_VERSION == 2
+        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
+        #endif
+    }
+    else {
+        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
+    }
+    PyErr_Format(PyExc_TypeError,
+        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
+        name, type->tp_name, Py_TYPE(obj)->tp_name);
+    return 0;
+}
+
+/* PyObjectCall */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
+    PyObject *result;
+    ternaryfunc call = Py_TYPE(func)->tp_call;
+    if (unlikely(!call))
+        return PyObject_Call(func, arg, kw);
+    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
+        return NULL;
+    result = (*call)(func, arg, kw);
+    Py_LeaveRecursiveCall();
+    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
+        PyErr_SetString(
+            PyExc_SystemError,
+            "NULL result without error in PyObject_Call");
+    }
+    return result;
+}
+#endif
+
+/* PyErrFetchRestore */
+#if CYTHON_FAST_THREAD_STATE
+static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    tmp_type = tstate->curexc_type;
+    tmp_value = tstate->curexc_value;
+    tmp_tb = tstate->curexc_traceback;
+    tstate->curexc_type = type;
+    tstate->curexc_value = value;
+    tstate->curexc_traceback = tb;
+    Py_XDECREF(tmp_type);
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(tmp_tb);
+}
+static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
+    *type = tstate->curexc_type;
+    *value = tstate->curexc_value;
+    *tb = tstate->curexc_traceback;
+    tstate->curexc_type = 0;
+    tstate->curexc_value = 0;
+    tstate->curexc_traceback = 0;
+}
+#endif
+
+/* RaiseException */
+#if PY_MAJOR_VERSION < 3
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
+                        CYTHON_UNUSED PyObject *cause) {
+    __Pyx_PyThreadState_declare
+    Py_XINCREF(type);
+    if (!value || value == Py_None)
+        value = NULL;
+    else
+        Py_INCREF(value);
+    if (!tb || tb == Py_None)
+        tb = NULL;
+    else {
+        Py_INCREF(tb);
+        if (!PyTraceBack_Check(tb)) {
+            PyErr_SetString(PyExc_TypeError,
+                "raise: arg 3 must be a traceback or None");
+            goto raise_error;
+        }
+    }
+    if (PyType_Check(type)) {
+#if CYTHON_COMPILING_IN_PYPY
+        if (!value) {
+            Py_INCREF(Py_None);
+            value = Py_None;
+        }
+#endif
+        PyErr_NormalizeException(&type, &value, &tb);
+    } else {
+        if (value) {
+            PyErr_SetString(PyExc_TypeError,
+                "instance exception may not have a separate value");
+            goto raise_error;
+        }
+        value = type;
+        type = (PyObject*) Py_TYPE(type);
+        Py_INCREF(type);
+        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
+            PyErr_SetString(PyExc_TypeError,
+                "raise: exception class must be a subclass of BaseException");
+            goto raise_error;
+        }
+    }
+    __Pyx_PyThreadState_assign
+    __Pyx_ErrRestore(type, value, tb);
+    return;
+raise_error:
+    Py_XDECREF(value);
+    Py_XDECREF(type);
+    Py_XDECREF(tb);
+    return;
+}
+#else
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
+    PyObject* owned_instance = NULL;
+    if (tb == Py_None) {
+        tb = 0;
+    } else if (tb && !PyTraceBack_Check(tb)) {
+        PyErr_SetString(PyExc_TypeError,
+            "raise: arg 3 must be a traceback or None");
+        goto bad;
+    }
+    if (value == Py_None)
+        value = 0;
+    if (PyExceptionInstance_Check(type)) {
+        if (value) {
+            PyErr_SetString(PyExc_TypeError,
+                "instance exception may not have a separate value");
+            goto bad;
+        }
+        value = type;
+        type = (PyObject*) Py_TYPE(value);
+    } else if (PyExceptionClass_Check(type)) {
+        PyObject *instance_class = NULL;
+        if (value && PyExceptionInstance_Check(value)) {
+            instance_class = (PyObject*) Py_TYPE(value);
+            if (instance_class != type) {
+                int is_subclass = PyObject_IsSubclass(instance_class, type);
+                if (!is_subclass) {
+                    instance_class = NULL;
+                } else if (unlikely(is_subclass == -1)) {
+                    goto bad;
+                } else {
+                    type = instance_class;
+                }
+            }
+        }
+        if (!instance_class) {
+            PyObject *args;
+            if (!value)
+                args = PyTuple_New(0);
+            else if (PyTuple_Check(value)) {
+                Py_INCREF(value);
+                args = value;
+            } else
+                args = PyTuple_Pack(1, value);
+            if (!args)
+                goto bad;
+            owned_instance = PyObject_Call(type, args, NULL);
+            Py_DECREF(args);
+            if (!owned_instance)
+                goto bad;
+            value = owned_instance;
+            if (!PyExceptionInstance_Check(value)) {
+                PyErr_Format(PyExc_TypeError,
+                             "calling %R should have returned an instance of "
+                             "BaseException, not %R",
+                             type, Py_TYPE(value));
+                goto bad;
+            }
+        }
+    } else {
+        PyErr_SetString(PyExc_TypeError,
+            "raise: exception class must be a subclass of BaseException");
+        goto bad;
+    }
+    if (cause) {
+        PyObject *fixed_cause;
+        if (cause == Py_None) {
+            fixed_cause = NULL;
+        } else if (PyExceptionClass_Check(cause)) {
+            fixed_cause = PyObject_CallObject(cause, NULL);
+            if (fixed_cause == NULL)
+                goto bad;
+        } else if (PyExceptionInstance_Check(cause)) {
+            fixed_cause = cause;
+            Py_INCREF(fixed_cause);
+        } else {
+            PyErr_SetString(PyExc_TypeError,
+                            "exception causes must derive from "
+                            "BaseException");
+            goto bad;
+        }
+        PyException_SetCause(value, fixed_cause);
+    }
+    PyErr_SetObject(type, value);
+    if (tb) {
+#if CYTHON_COMPILING_IN_PYPY
+        PyObject *tmp_type, *tmp_value, *tmp_tb;
+        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
+        Py_INCREF(tb);
+        PyErr_Restore(tmp_type, tmp_value, tb);
+        Py_XDECREF(tmp_tb);
+#else
+        PyThreadState *tstate = __Pyx_PyThreadState_Current;
+        PyObject* tmp_tb = tstate->curexc_traceback;
+        if (tb != tmp_tb) {
+            Py_INCREF(tb);
+            tstate->curexc_traceback = tb;
+            Py_XDECREF(tmp_tb);
+        }
+#endif
+    }
+bad:
+    Py_XDECREF(owned_instance);
+    return;
+}
+#endif
+
+/* PyCFunctionFastCall */
+#if CYTHON_FAST_PYCCALL
+static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
+    PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
+    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
+    PyObject *self = PyCFunction_GET_SELF(func);
+    int flags = PyCFunction_GET_FLAGS(func);
+    assert(PyCFunction_Check(func));
+    assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)));
+    assert(nargs >= 0);
+    assert(nargs == 0 || args != NULL);
+    /* _PyCFunction_FastCallDict() must not be called with an exception set,
+       because it may clear it (directly or indirectly) and so the
+       caller loses its exception */
+    assert(!PyErr_Occurred());
+    if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
+        return (*((__Pyx_PyCFunctionFastWithKeywords)(void*)meth)) (self, args, nargs, NULL);
+    } else {
+        return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs);
+    }
+}
+#endif
+
+/* PyFunctionFastCall */
+#if CYTHON_FAST_PYCALL
+static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
+                                               PyObject *globals) {
+    PyFrameObject *f;
+    PyThreadState *tstate = __Pyx_PyThreadState_Current;
+    PyObject **fastlocals;
+    Py_ssize_t i;
+    PyObject *result;
+    assert(globals != NULL);
+    /* XXX Perhaps we should create a specialized
+       PyFrame_New() that doesn't take locals, but does
+       take builtins without sanity checking them.
+       */
+    assert(tstate != NULL);
+    f = PyFrame_New(tstate, co, globals, NULL);
+    if (f == NULL) {
+        return NULL;
+    }
+    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
+    for (i = 0; i < na; i++) {
+        Py_INCREF(*args);
+        fastlocals[i] = *args++;
+    }
+    result = PyEval_EvalFrameEx(f,0);
+    ++tstate->recursion_depth;
+    Py_DECREF(f);
+    --tstate->recursion_depth;
+    return result;
+}
+#if 1 || PY_VERSION_HEX < 0x030600B1
+static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
+    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
+    PyObject *globals = PyFunction_GET_GLOBALS(func);
+    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
+    PyObject *closure;
+#if PY_MAJOR_VERSION >= 3
+    PyObject *kwdefs;
+#endif
+    PyObject *kwtuple, **k;
+    PyObject **d;
+    Py_ssize_t nd;
+    Py_ssize_t nk;
+    PyObject *result;
+    assert(kwargs == NULL || PyDict_Check(kwargs));
+    nk = kwargs ? PyDict_Size(kwargs) : 0;
+    if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
+        return NULL;
+    }
+    if (
+#if PY_MAJOR_VERSION >= 3
+            co->co_kwonlyargcount == 0 &&
+#endif
+            likely(kwargs == NULL || nk == 0) &&
+            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
+        if (argdefs == NULL && co->co_argcount == nargs) {
+            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
+            goto done;
+        }
+        else if (nargs == 0 && argdefs != NULL
+                 && co->co_argcount == Py_SIZE(argdefs)) {
+            /* function called with no arguments, but all parameters have
+               a default value: use default values as arguments .*/
+            args = &PyTuple_GET_ITEM(argdefs, 0);
+            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
+            goto done;
+        }
+    }
+    if (kwargs != NULL) {
+        Py_ssize_t pos, i;
+        kwtuple = PyTuple_New(2 * nk);
+        if (kwtuple == NULL) {
+            result = NULL;
+            goto done;
+        }
+        k = &PyTuple_GET_ITEM(kwtuple, 0);
+        pos = i = 0;
+        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
+            Py_INCREF(k[i]);
+            Py_INCREF(k[i+1]);
+            i += 2;
+        }
+        nk = i / 2;
+    }
+    else {
+        kwtuple = NULL;
+        k = NULL;
+    }
+    closure = PyFunction_GET_CLOSURE(func);
+#if PY_MAJOR_VERSION >= 3
+    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
+#endif
+    if (argdefs != NULL) {
+        d = &PyTuple_GET_ITEM(argdefs, 0);
+        nd = Py_SIZE(argdefs);
+    }
+    else {
+        d = NULL;
+        nd = 0;
+    }
+#if PY_MAJOR_VERSION >= 3
+    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
+                               args, (int)nargs,
+                               k, (int)nk,
+                               d, (int)nd, kwdefs, closure);
+#else
+    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
+                               args, (int)nargs,
+                               k, (int)nk,
+                               d, (int)nd, closure);
+#endif
+    Py_XDECREF(kwtuple);
+done:
+    Py_LeaveRecursiveCall();
+    return result;
+}
+#endif
+#endif
+
+/* PyObjectCall2Args */
+static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
+    PyObject *args, *result = NULL;
+    #if CYTHON_FAST_PYCALL
+    if (PyFunction_Check(function)) {
+        PyObject *args[2] = {arg1, arg2};
+        return __Pyx_PyFunction_FastCall(function, args, 2);
+    }
+    #endif
+    #if CYTHON_FAST_PYCCALL
+    if (__Pyx_PyFastCFunction_Check(function)) {
+        PyObject *args[2] = {arg1, arg2};
+        return __Pyx_PyCFunction_FastCall(function, args, 2);
+    }
+    #endif
+    args = PyTuple_New(2);
+    if (unlikely(!args)) goto done;
+    Py_INCREF(arg1);
+    PyTuple_SET_ITEM(args, 0, arg1);
+    Py_INCREF(arg2);
+    PyTuple_SET_ITEM(args, 1, arg2);
+    Py_INCREF(function);
+    result = __Pyx_PyObject_Call(function, args, NULL);
+    Py_DECREF(args);
+    Py_DECREF(function);
+done:
+    return result;
+}
+
+/* PyObjectCallMethO */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
+    PyObject *self, *result;
+    PyCFunction cfunc;
+    cfunc = PyCFunction_GET_FUNCTION(func);
+    self = PyCFunction_GET_SELF(func);
+    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
+        return NULL;
+    result = cfunc(self, arg);
+    Py_LeaveRecursiveCall();
+    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
+        PyErr_SetString(
+            PyExc_SystemError,
+            "NULL result without error in PyObject_Call");
+    }
+    return result;
+}
+#endif
+
+/* PyObjectCallOneArg */
+#if CYTHON_COMPILING_IN_CPYTHON
+static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
+    PyObject *result;
+    PyObject *args = PyTuple_New(1);
+    if (unlikely(!args)) return NULL;
+    Py_INCREF(arg);
+    PyTuple_SET_ITEM(args, 0, arg);
+    result = __Pyx_PyObject_Call(func, args, NULL);
+    Py_DECREF(args);
+    return result;
+}
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
+#if CYTHON_FAST_PYCALL
+    if (PyFunction_Check(func)) {
+        return __Pyx_PyFunction_FastCall(func, &arg, 1);
+    }
+#endif
+    if (likely(PyCFunction_Check(func))) {
+        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
+            return __Pyx_PyObject_CallMethO(func, arg);
+#if CYTHON_FAST_PYCCALL
+        } else if (__Pyx_PyFastCFunction_Check(func)) {
+            return __Pyx_PyCFunction_FastCall(func, &arg, 1);
+#endif
+        }
+    }
+    return __Pyx__PyObject_CallOneArg(func, arg);
+}
+#else
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
+    PyObject *result;
+    PyObject *args = PyTuple_Pack(1, arg);
+    if (unlikely(!args)) return NULL;
+    result = __Pyx_PyObject_Call(func, args, NULL);
+    Py_DECREF(args);
+    return result;
+}
+#endif
+
+/* BytesEquals */
+static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
+#if CYTHON_COMPILING_IN_PYPY
+    return PyObject_RichCompareBool(s1, s2, equals);
+#else
+    if (s1 == s2) {
+        return (equals == Py_EQ);
+    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
+        const char *ps1, *ps2;
+        Py_ssize_t length = PyBytes_GET_SIZE(s1);
+        if (length != PyBytes_GET_SIZE(s2))
+            return (equals == Py_NE);
+        ps1 = PyBytes_AS_STRING(s1);
+        ps2 = PyBytes_AS_STRING(s2);
+        if (ps1[0] != ps2[0]) {
+            return (equals == Py_NE);
+        } else if (length == 1) {
+            return (equals == Py_EQ);
+        } else {
+            int result;
+#if CYTHON_USE_UNICODE_INTERNALS
+            Py_hash_t hash1, hash2;
+            hash1 = ((PyBytesObject*)s1)->ob_shash;
+            hash2 = ((PyBytesObject*)s2)->ob_shash;
+            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
+                return (equals == Py_NE);
+            }
+#endif
+            result = memcmp(ps1, ps2, (size_t)length);
+            return (equals == Py_EQ) ? (result == 0) : (result != 0);
+        }
+    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
+        return (equals == Py_NE);
+    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
+        return (equals == Py_NE);
+    } else {
+        int result;
+        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
+        if (!py_result)
+            return -1;
+        result = __Pyx_PyObject_IsTrue(py_result);
+        Py_DECREF(py_result);
+        return result;
+    }
+#endif
+}
+
+/* UnicodeEquals */
+static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
+#if CYTHON_COMPILING_IN_PYPY
+    return PyObject_RichCompareBool(s1, s2, equals);
+#else
+#if PY_MAJOR_VERSION < 3
+    PyObject* owned_ref = NULL;
+#endif
+    int s1_is_unicode, s2_is_unicode;
+    if (s1 == s2) {
+        goto return_eq;
+    }
+    s1_is_unicode = PyUnicode_CheckExact(s1);
+    s2_is_unicode = PyUnicode_CheckExact(s2);
+#if PY_MAJOR_VERSION < 3
+    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
+        owned_ref = PyUnicode_FromObject(s2);
+        if (unlikely(!owned_ref))
+            return -1;
+        s2 = owned_ref;
+        s2_is_unicode = 1;
+    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
+        owned_ref = PyUnicode_FromObject(s1);
+        if (unlikely(!owned_ref))
+            return -1;
+        s1 = owned_ref;
+        s1_is_unicode = 1;
+    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
+        return __Pyx_PyBytes_Equals(s1, s2, equals);
+    }
+#endif
+    if (s1_is_unicode & s2_is_unicode) {
+        Py_ssize_t length;
+        int kind;
+        void *data1, *data2;
+        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
+            return -1;
+        length = __Pyx_PyUnicode_GET_LENGTH(s1);
+        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
+            goto return_ne;
+        }
+#if CYTHON_USE_UNICODE_INTERNALS
+        {
+            Py_hash_t hash1, hash2;
+        #if CYTHON_PEP393_ENABLED
+            hash1 = ((PyASCIIObject*)s1)->hash;
+            hash2 = ((PyASCIIObject*)s2)->hash;
+        #else
+            hash1 = ((PyUnicodeObject*)s1)->hash;
+            hash2 = ((PyUnicodeObject*)s2)->hash;
+        #endif
+            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
+                goto return_ne;
+            }
+        }
+#endif
+        kind = __Pyx_PyUnicode_KIND(s1);
+        if (kind != __Pyx_PyUnicode_KIND(s2)) {
+            goto return_ne;
+        }
+        data1 = __Pyx_PyUnicode_DATA(s1);
+        data2 = __Pyx_PyUnicode_DATA(s2);
+        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
+            goto return_ne;
+        } else if (length == 1) {
+            goto return_eq;
+        } else {
+            int result = memcmp(data1, data2, (size_t)(length * kind));
+            #if PY_MAJOR_VERSION < 3
+            Py_XDECREF(owned_ref);
+            #endif
+            return (equals == Py_EQ) ? (result == 0) : (result != 0);
+        }
+    } else if ((s1 == Py_None) & s2_is_unicode) {
+        goto return_ne;
+    } else if ((s2 == Py_None) & s1_is_unicode) {
+        goto return_ne;
+    } else {
+        int result;
+        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
+        #if PY_MAJOR_VERSION < 3
+        Py_XDECREF(owned_ref);
+        #endif
+        if (!py_result)
+            return -1;
+        result = __Pyx_PyObject_IsTrue(py_result);
+        Py_DECREF(py_result);
+        return result;
+    }
+return_eq:
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(owned_ref);
+    #endif
+    return (equals == Py_EQ);
+return_ne:
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(owned_ref);
+    #endif
+    return (equals == Py_NE);
+#endif
+}
+
+/* None */
+static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t a, Py_ssize_t b) {
+    Py_ssize_t q = a / b;
+    Py_ssize_t r = a - q*b;
+    q -= ((r != 0) & ((r ^ b) < 0));
+    return q;
+}
+
+/* GetAttr */
+static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
+#if CYTHON_USE_TYPE_SLOTS
+#if PY_MAJOR_VERSION >= 3
+    if (likely(PyUnicode_Check(n)))
+#else
+    if (likely(PyString_Check(n)))
+#endif
+        return __Pyx_PyObject_GetAttrStr(o, n);
+#endif
+    return PyObject_GetAttr(o, n);
+}
+
+/* GetItemInt */
+static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
+    PyObject *r;
+    if (!j) return NULL;
+    r = PyObject_GetItem(o, j);
+    Py_DECREF(j);
+    return r;
+}
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
+                                                              CYTHON_NCP_UNUSED int wraparound,
+                                                              CYTHON_NCP_UNUSED int boundscheck) {
+#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
+    Py_ssize_t wrapped_i = i;
+    if (wraparound & unlikely(i < 0)) {
+        wrapped_i += PyList_GET_SIZE(o);
+    }
+    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
+        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
+        Py_INCREF(r);
+        return r;
+    }
+    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
+#else
+    return PySequence_GetItem(o, i);
+#endif
+}
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
+                                                              CYTHON_NCP_UNUSED int wraparound,
+                                                              CYTHON_NCP_UNUSED int boundscheck) {
+#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
+    Py_ssize_t wrapped_i = i;
+    if (wraparound & unlikely(i < 0)) {
+        wrapped_i += PyTuple_GET_SIZE(o);
+    }
+    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
+        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
+        Py_INCREF(r);
+        return r;
+    }
+    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
+#else
+    return PySequence_GetItem(o, i);
+#endif
+}
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
+                                                     CYTHON_NCP_UNUSED int wraparound,
+                                                     CYTHON_NCP_UNUSED int boundscheck) {
+#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
+    if (is_list || PyList_CheckExact(o)) {
+        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
+        if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
+            PyObject *r = PyList_GET_ITEM(o, n);
+            Py_INCREF(r);
+            return r;
+        }
+    }
+    else if (PyTuple_CheckExact(o)) {
+        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
+        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
+            PyObject *r = PyTuple_GET_ITEM(o, n);
+            Py_INCREF(r);
+            return r;
+        }
+    } else {
+        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
+        if (likely(m && m->sq_item)) {
+            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
+                Py_ssize_t l = m->sq_length(o);
+                if (likely(l >= 0)) {
+                    i += l;
+                } else {
+                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
+                        return NULL;
+                    PyErr_Clear();
+                }
+            }
+            return m->sq_item(o, i);
+        }
+    }
+#else
+    if (is_list || PySequence_Check(o)) {
+        return PySequence_GetItem(o, i);
+    }
+#endif
+    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
+}
+
+/* ObjectGetItem */
+#if CYTHON_USE_TYPE_SLOTS
+static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
+    PyObject *runerr;
+    Py_ssize_t key_value;
+    PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
+    if (unlikely(!(m && m->sq_item))) {
+        PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
+        return NULL;
+    }
+    key_value = __Pyx_PyIndex_AsSsize_t(index);
+    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
+        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
+    }
+    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
+        PyErr_Clear();
+        PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
+    }
+    return NULL;
+}
+static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
+    PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
+    if (likely(m && m->mp_subscript)) {
+        return m->mp_subscript(obj, key);
+    }
+    return __Pyx_PyObject_GetIndex(obj, key);
+}
+#endif
+
+/* decode_c_string */
+static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
+         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
+         const char* encoding, const char* errors,
+         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
+    Py_ssize_t length;
+    if (unlikely((start < 0) | (stop < 0))) {
+        size_t slen = strlen(cstring);
+        if (unlikely(slen > (size_t) PY_SSIZE_T_MAX)) {
+            PyErr_SetString(PyExc_OverflowError,
+                            "c-string too long to convert to Python");
+            return NULL;
+        }
+        length = (Py_ssize_t) slen;
+        if (start < 0) {
+            start += length;
+            if (start < 0)
+                start = 0;
+        }
+        if (stop < 0)
+            stop += length;
+    }
+    if (unlikely(stop <= start))
+        return __Pyx_NewRef(__pyx_empty_unicode);
+    length = stop - start;
+    cstring += start;
+    if (decode_func) {
+        return decode_func(cstring, length, errors);
+    } else {
+        return PyUnicode_Decode(cstring, length, encoding, errors);
+    }
+}
+
+/* PyErrExceptionMatches */
+#if CYTHON_FAST_THREAD_STATE
+static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
+    Py_ssize_t i, n;
+    n = PyTuple_GET_SIZE(tuple);
+#if PY_MAJOR_VERSION >= 3
+    for (i=0; i<n; i++) {
+        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
+    }
+#endif
+    for (i=0; i<n; i++) {
+        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
+    }
+    return 0;
+}
+static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
+    PyObject *exc_type = tstate->curexc_type;
+    if (exc_type == err) return 1;
+    if (unlikely(!exc_type)) return 0;
+    if (unlikely(PyTuple_Check(err)))
+        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
+    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
+}
+#endif
+
+/* GetAttr3 */
+static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
+    __Pyx_PyThreadState_declare
+    __Pyx_PyThreadState_assign
+    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
+        return NULL;
+    __Pyx_PyErr_Clear();
+    Py_INCREF(d);
+    return d;
+}
+static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
+    PyObject *r = __Pyx_GetAttr(o, n);
+    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
+}
+
+/* PyDictVersioning */
+#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
+    PyObject *dict = Py_TYPE(obj)->tp_dict;
+    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
+}
+static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
+    PyObject **dictptr = NULL;
+    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
+    if (offset) {
+#if CYTHON_COMPILING_IN_CPYTHON
+        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
+#else
+        dictptr = _PyObject_GetDictPtr(obj);
+#endif
+    }
+    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
+}
+static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
+    PyObject *dict = Py_TYPE(obj)->tp_dict;
+    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
+        return 0;
+    return obj_dict_version == __Pyx_get_object_dict_version(obj);
+}
+#endif
+
+/* GetModuleGlobalName */
+#if CYTHON_USE_DICT_VERSIONS
+static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
+#else
+static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
+#endif
+{
+    PyObject *result;
+#if !CYTHON_AVOID_BORROWED_REFS
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
+    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
+    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
+    if (likely(result)) {
+        return __Pyx_NewRef(result);
+    } else if (unlikely(PyErr_Occurred())) {
+        return NULL;
+    }
+#else
+    result = PyDict_GetItem(__pyx_d, name);
+    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
+    if (likely(result)) {
+        return __Pyx_NewRef(result);
+    }
+#endif
+#else
+    result = PyObject_GetItem(__pyx_d, name);
+    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
+    if (likely(result)) {
+        return __Pyx_NewRef(result);
+    }
+    PyErr_Clear();
+#endif
+    return __Pyx_GetBuiltinName(name);
+}
+
+/* RaiseTooManyValuesToUnpack */
+static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
+    PyErr_Format(PyExc_ValueError,
+                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
+}
+
+/* RaiseNeedMoreValuesToUnpack */
+static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
+    PyErr_Format(PyExc_ValueError,
+                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
+                 index, (index == 1) ? "" : "s");
+}
+
+/* RaiseNoneIterError */
+static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
+    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
+}
+
+/* ExtTypeTest */
+static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
+    if (unlikely(!type)) {
+        PyErr_SetString(PyExc_SystemError, "Missing type object");
+        return 0;
+    }
+    if (likely(__Pyx_TypeCheck(obj, type)))
+        return 1;
+    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
+                 Py_TYPE(obj)->tp_name, type->tp_name);
+    return 0;
+}
+
+/* GetTopmostException */
+#if CYTHON_USE_EXC_INFO_STACK
+static _PyErr_StackItem *
+__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
+{
+    _PyErr_StackItem *exc_info = tstate->exc_info;
+    while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
+           exc_info->previous_item != NULL)
+    {
+        exc_info = exc_info->previous_item;
+    }
+    return exc_info;
+}
+#endif
+
+/* SaveResetException */
+#if CYTHON_FAST_THREAD_STATE
+static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
+    #if CYTHON_USE_EXC_INFO_STACK
+    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
+    *type = exc_info->exc_type;
+    *value = exc_info->exc_value;
+    *tb = exc_info->exc_traceback;
+    #else
+    *type = tstate->exc_type;
+    *value = tstate->exc_value;
+    *tb = tstate->exc_traceback;
+    #endif
+    Py_XINCREF(*type);
+    Py_XINCREF(*value);
+    Py_XINCREF(*tb);
+}
+static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    #if CYTHON_USE_EXC_INFO_STACK
+    _PyErr_StackItem *exc_info = tstate->exc_info;
+    tmp_type = exc_info->exc_type;
+    tmp_value = exc_info->exc_value;
+    tmp_tb = exc_info->exc_traceback;
+    exc_info->exc_type = type;
+    exc_info->exc_value = value;
+    exc_info->exc_traceback = tb;
+    #else
+    tmp_type = tstate->exc_type;
+    tmp_value = tstate->exc_value;
+    tmp_tb = tstate->exc_traceback;
+    tstate->exc_type = type;
+    tstate->exc_value = value;
+    tstate->exc_traceback = tb;
+    #endif
+    Py_XDECREF(tmp_type);
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(tmp_tb);
+}
+#endif
+
+/* GetException */
+#if CYTHON_FAST_THREAD_STATE
+static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
+#else
+static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
+#endif
+{
+    PyObject *local_type, *local_value, *local_tb;
+#if CYTHON_FAST_THREAD_STATE
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    local_type = tstate->curexc_type;
+    local_value = tstate->curexc_value;
+    local_tb = tstate->curexc_traceback;
+    tstate->curexc_type = 0;
+    tstate->curexc_value = 0;
+    tstate->curexc_traceback = 0;
+#else
+    PyErr_Fetch(&local_type, &local_value, &local_tb);
+#endif
+    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
+#if CYTHON_FAST_THREAD_STATE
+    if (unlikely(tstate->curexc_type))
+#else
+    if (unlikely(PyErr_Occurred()))
+#endif
+        goto bad;
+    #if PY_MAJOR_VERSION >= 3
+    if (local_tb) {
+        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
+            goto bad;
+    }
+    #endif
+    Py_XINCREF(local_tb);
+    Py_XINCREF(local_type);
+    Py_XINCREF(local_value);
+    *type = local_type;
+    *value = local_value;
+    *tb = local_tb;
+#if CYTHON_FAST_THREAD_STATE
+    #if CYTHON_USE_EXC_INFO_STACK
+    {
+        _PyErr_StackItem *exc_info = tstate->exc_info;
+        tmp_type = exc_info->exc_type;
+        tmp_value = exc_info->exc_value;
+        tmp_tb = exc_info->exc_traceback;
+        exc_info->exc_type = local_type;
+        exc_info->exc_value = local_value;
+        exc_info->exc_traceback = local_tb;
+    }
+    #else
+    tmp_type = tstate->exc_type;
+    tmp_value = tstate->exc_value;
+    tmp_tb = tstate->exc_traceback;
+    tstate->exc_type = local_type;
+    tstate->exc_value = local_value;
+    tstate->exc_traceback = local_tb;
+    #endif
+    Py_XDECREF(tmp_type);
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(tmp_tb);
+#else
+    PyErr_SetExcInfo(local_type, local_value, local_tb);
+#endif
+    return 0;
+bad:
+    *type = 0;
+    *value = 0;
+    *tb = 0;
+    Py_XDECREF(local_type);
+    Py_XDECREF(local_value);
+    Py_XDECREF(local_tb);
+    return -1;
+}
+
+/* SwapException */
+#if CYTHON_FAST_THREAD_STATE
+static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    #if CYTHON_USE_EXC_INFO_STACK
+    _PyErr_StackItem *exc_info = tstate->exc_info;
+    tmp_type = exc_info->exc_type;
+    tmp_value = exc_info->exc_value;
+    tmp_tb = exc_info->exc_traceback;
+    exc_info->exc_type = *type;
+    exc_info->exc_value = *value;
+    exc_info->exc_traceback = *tb;
+    #else
+    tmp_type = tstate->exc_type;
+    tmp_value = tstate->exc_value;
+    tmp_tb = tstate->exc_traceback;
+    tstate->exc_type = *type;
+    tstate->exc_value = *value;
+    tstate->exc_traceback = *tb;
+    #endif
+    *type = tmp_type;
+    *value = tmp_value;
+    *tb = tmp_tb;
+}
+#else
+static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
+    PyErr_SetExcInfo(*type, *value, *tb);
+    *type = tmp_type;
+    *value = tmp_value;
+    *tb = tmp_tb;
+}
+#endif
+
+/* Import */
+static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
+    PyObject *empty_list = 0;
+    PyObject *module = 0;
+    PyObject *global_dict = 0;
+    PyObject *empty_dict = 0;
+    PyObject *list;
+    #if PY_MAJOR_VERSION < 3
+    PyObject *py_import;
+    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
+    if (!py_import)
+        goto bad;
+    #endif
+    if (from_list)
+        list = from_list;
+    else {
+        empty_list = PyList_New(0);
+        if (!empty_list)
+            goto bad;
+        list = empty_list;
+    }
+    global_dict = PyModule_GetDict(__pyx_m);
+    if (!global_dict)
+        goto bad;
+    empty_dict = PyDict_New();
+    if (!empty_dict)
+        goto bad;
+    {
+        #if PY_MAJOR_VERSION >= 3
+        if (level == -1) {
+            if ((1) && (strchr(__Pyx_MODULE_NAME, '.'))) {
+                module = PyImport_ImportModuleLevelObject(
+                    name, global_dict, empty_dict, list, 1);
+                if (!module) {
+                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
+                        goto bad;
+                    PyErr_Clear();
+                }
+            }
+            level = 0;
+        }
+        #endif
+        if (!module) {
+            #if PY_MAJOR_VERSION < 3
+            PyObject *py_level = PyInt_FromLong(level);
+            if (!py_level)
+                goto bad;
+            module = PyObject_CallFunctionObjArgs(py_import,
+                name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
+            Py_DECREF(py_level);
+            #else
+            module = PyImport_ImportModuleLevelObject(
+                name, global_dict, empty_dict, list, level);
+            #endif
+        }
+    }
+bad:
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(py_import);
+    #endif
+    Py_XDECREF(empty_list);
+    Py_XDECREF(empty_dict);
+    return module;
+}
+
+/* FastTypeChecks */
+#if CYTHON_COMPILING_IN_CPYTHON
+static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
+    while (a) {
+        a = a->tp_base;
+        if (a == b)
+            return 1;
+    }
+    return b == &PyBaseObject_Type;
+}
+static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
+    PyObject *mro;
+    if (a == b) return 1;
+    mro = a->tp_mro;
+    if (likely(mro)) {
+        Py_ssize_t i, n;
+        n = PyTuple_GET_SIZE(mro);
+        for (i = 0; i < n; i++) {
+            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
+                return 1;
+        }
+        return 0;
+    }
+    return __Pyx_InBases(a, b);
+}
+#if PY_MAJOR_VERSION == 2
+static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
+    PyObject *exception, *value, *tb;
+    int res;
+    __Pyx_PyThreadState_declare
+    __Pyx_PyThreadState_assign
+    __Pyx_ErrFetch(&exception, &value, &tb);
+    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
+    if (unlikely(res == -1)) {
+        PyErr_WriteUnraisable(err);
+        res = 0;
+    }
+    if (!res) {
+        res = PyObject_IsSubclass(err, exc_type2);
+        if (unlikely(res == -1)) {
+            PyErr_WriteUnraisable(err);
+            res = 0;
+        }
+    }
+    __Pyx_ErrRestore(exception, value, tb);
+    return res;
+}
+#else
+static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
+    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
+    if (!res) {
+        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
+    }
+    return res;
+}
+#endif
+static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
+    Py_ssize_t i, n;
+    assert(PyExceptionClass_Check(exc_type));
+    n = PyTuple_GET_SIZE(tuple);
+#if PY_MAJOR_VERSION >= 3
+    for (i=0; i<n; i++) {
+        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
+    }
+#endif
+    for (i=0; i<n; i++) {
+        PyObject *t = PyTuple_GET_ITEM(tuple, i);
+        #if PY_MAJOR_VERSION < 3
+        if (likely(exc_type == t)) return 1;
+        #endif
+        if (likely(PyExceptionClass_Check(t))) {
+            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
+        } else {
+        }
+    }
+    return 0;
+}
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
+    if (likely(err == exc_type)) return 1;
+    if (likely(PyExceptionClass_Check(err))) {
+        if (likely(PyExceptionClass_Check(exc_type))) {
+            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
+        } else if (likely(PyTuple_Check(exc_type))) {
+            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
+        } else {
+        }
+    }
+    return PyErr_GivenExceptionMatches(err, exc_type);
+}
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
+    assert(PyExceptionClass_Check(exc_type1));
+    assert(PyExceptionClass_Check(exc_type2));
+    if (likely(err == exc_type1 || err == exc_type2)) return 1;
+    if (likely(PyExceptionClass_Check(err))) {
+        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
+    }
+    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
+}
+#endif
+
+/* PyIntBinop */
+#if !CYTHON_COMPILING_IN_PYPY
+static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
+    (void)inplace;
+    (void)zerodivision_check;
+    #if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_CheckExact(op1))) {
+        const long b = intval;
+        long x;
+        long a = PyInt_AS_LONG(op1);
+            x = (long)((unsigned long)a + b);
+            if (likely((x^a) >= 0 || (x^b) >= 0))
+                return PyInt_FromLong(x);
+            return PyLong_Type.tp_as_number->nb_add(op1, op2);
+    }
+    #endif
+    #if CYTHON_USE_PYLONG_INTERNALS
+    if (likely(PyLong_CheckExact(op1))) {
+        const long b = intval;
+        long a, x;
+#ifdef HAVE_LONG_LONG
+        const PY_LONG_LONG llb = intval;
+        PY_LONG_LONG lla, llx;
+#endif
+        const digit* digits = ((PyLongObject*)op1)->ob_digit;
+        const Py_ssize_t size = Py_SIZE(op1);
+        if (likely(__Pyx_sst_abs(size) <= 1)) {
+            a = likely(size) ? digits[0] : 0;
+            if (size == -1) a = -a;
+        } else {
+            switch (size) {
+                case -2:
+                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
+                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case 2:
+                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
+                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case -3:
+                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
+                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case 3:
+                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
+                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case -4:
+                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
+                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                case 4:
+                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
+                        break;
+#ifdef HAVE_LONG_LONG
+                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
+                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
+                        goto long_long;
+#endif
+                    }
+                    CYTHON_FALLTHROUGH;
+                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
+            }
+        }
+                x = a + b;
+            return PyLong_FromLong(x);
+#ifdef HAVE_LONG_LONG
+        long_long:
+                llx = lla + llb;
+            return PyLong_FromLongLong(llx);
+#endif
+        
+        
+    }
+    #endif
+    if (PyFloat_CheckExact(op1)) {
+        const long b = intval;
+        double a = PyFloat_AS_DOUBLE(op1);
+            double result;
+            PyFPE_START_PROTECT("add", return NULL)
+            result = ((double)a) + (double)b;
+            PyFPE_END_PROTECT(result)
+            return PyFloat_FromDouble(result);
+    }
+    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
+}
+#endif
+
+/* None */
+static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
+    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
+}
+
+/* None */
+static CYTHON_INLINE long __Pyx_div_long(long a, long b) {
+    long q = a / b;
+    long r = a - q*b;
+    q -= ((r != 0) & ((r ^ b) < 0));
+    return q;
+}
+
+/* ImportFrom */
+static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
+    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
+    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
+        PyErr_Format(PyExc_ImportError,
+        #if PY_MAJOR_VERSION < 3
+            "cannot import name %.230s", PyString_AS_STRING(name));
+        #else
+            "cannot import name %S", name);
+        #endif
+    }
+    return value;
+}
+
+/* HasAttr */
+static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
+    PyObject *r;
+    if (unlikely(!__Pyx_PyBaseString_Check(n))) {
+        PyErr_SetString(PyExc_TypeError,
+                        "hasattr(): attribute name must be string");
+        return -1;
+    }
+    r = __Pyx_GetAttr(o, n);
+    if (unlikely(!r)) {
+        PyErr_Clear();
+        return 0;
+    } else {
+        Py_DECREF(r);
+        return 1;
+    }
+}
+
+/* PyObject_GenericGetAttrNoDict */
+#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
+static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
+    PyErr_Format(PyExc_AttributeError,
+#if PY_MAJOR_VERSION >= 3
+                 "'%.50s' object has no attribute '%U'",
+                 tp->tp_name, attr_name);
+#else
+                 "'%.50s' object has no attribute '%.400s'",
+                 tp->tp_name, PyString_AS_STRING(attr_name));
+#endif
+    return NULL;
+}
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
+    PyObject *descr;
+    PyTypeObject *tp = Py_TYPE(obj);
+    if (unlikely(!PyString_Check(attr_name))) {
+        return PyObject_GenericGetAttr(obj, attr_name);
+    }
+    assert(!tp->tp_dictoffset);
+    descr = _PyType_Lookup(tp, attr_name);
+    if (unlikely(!descr)) {
+        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
+    }
+    Py_INCREF(descr);
+    #if PY_MAJOR_VERSION < 3
+    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
+    #endif
+    {
+        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
+        if (unlikely(f)) {
+            PyObject *res = f(descr, obj, (PyObject *)tp);
+            Py_DECREF(descr);
+            return res;
+        }
+    }
+    return descr;
+}
+#endif
+
+/* PyObject_GenericGetAttr */
+#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
+static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
+    if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
+        return PyObject_GenericGetAttr(obj, attr_name);
+    }
+    return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
+}
+#endif
+
+/* SetVTable */
+static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
+#if PY_VERSION_HEX >= 0x02070000
+    PyObject *ob = PyCapsule_New(vtable, 0, 0);
+#else
+    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
+#endif
+    if (!ob)
+        goto bad;
+    if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
+        goto bad;
+    Py_DECREF(ob);
+    return 0;
+bad:
+    Py_XDECREF(ob);
+    return -1;
+}
+
+/* PyObjectGetAttrStrNoError */
+static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
+    __Pyx_PyThreadState_declare
+    __Pyx_PyThreadState_assign
+    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
+        __Pyx_PyErr_Clear();
+}
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
+    PyObject *result;
+#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
+    PyTypeObject* tp = Py_TYPE(obj);
+    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
+        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
+    }
+#endif
+    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
+    if (unlikely(!result)) {
+        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
+    }
+    return result;
+}
+
+/* SetupReduce */
+static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
+  int ret;
+  PyObject *name_attr;
+  name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name_2);
+  if (likely(name_attr)) {
+      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
+  } else {
+      ret = -1;
+  }
+  if (unlikely(ret < 0)) {
+      PyErr_Clear();
+      ret = 0;
+  }
+  Py_XDECREF(name_attr);
+  return ret;
+}
+static int __Pyx_setup_reduce(PyObject* type_obj) {
+    int ret = 0;
+    PyObject *object_reduce = NULL;
+    PyObject *object_reduce_ex = NULL;
+    PyObject *reduce = NULL;
+    PyObject *reduce_ex = NULL;
+    PyObject *reduce_cython = NULL;
+    PyObject *setstate = NULL;
+    PyObject *setstate_cython = NULL;
+#if CYTHON_USE_PYTYPE_LOOKUP
+    if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
+#else
+    if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
+#endif
+#if CYTHON_USE_PYTYPE_LOOKUP
+    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
+#else
+    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
+#endif
+    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
+    if (reduce_ex == object_reduce_ex) {
+#if CYTHON_USE_PYTYPE_LOOKUP
+        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
+#else
+        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
+#endif
+        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
+        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
+            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);
+            if (likely(reduce_cython)) {
+                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
+                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
+            } else if (reduce == object_reduce || PyErr_Occurred()) {
+                goto __PYX_BAD;
+            }
+            setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
+            if (!setstate) PyErr_Clear();
+            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
+                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);
+                if (likely(setstate_cython)) {
+                    ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
+                    ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
+                } else if (!setstate || PyErr_Occurred()) {
+                    goto __PYX_BAD;
+                }
+            }
+            PyType_Modified((PyTypeObject*)type_obj);
+        }
+    }
+    goto __PYX_GOOD;
+__PYX_BAD:
+    if (!PyErr_Occurred())
+        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
+    ret = -1;
+__PYX_GOOD:
+#if !CYTHON_USE_PYTYPE_LOOKUP
+    Py_XDECREF(object_reduce);
+    Py_XDECREF(object_reduce_ex);
+#endif
+    Py_XDECREF(reduce);
+    Py_XDECREF(reduce_ex);
+    Py_XDECREF(reduce_cython);
+    Py_XDECREF(setstate);
+    Py_XDECREF(setstate_cython);
+    return ret;
+}
+
+/* CLineInTraceback */
+#ifndef CYTHON_CLINE_IN_TRACEBACK
+static int __Pyx_CLineForTraceback(CYTHON_NCP_UNUSED PyThreadState *tstate, int c_line) {
+    PyObject *use_cline;
+    PyObject *ptype, *pvalue, *ptraceback;
+#if CYTHON_COMPILING_IN_CPYTHON
+    PyObject **cython_runtime_dict;
+#endif
+    if (unlikely(!__pyx_cython_runtime)) {
+        return c_line;
+    }
+    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
+#if CYTHON_COMPILING_IN_CPYTHON
+    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
+    if (likely(cython_runtime_dict)) {
+        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
+            use_cline, *cython_runtime_dict,
+            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
+    } else
+#endif
+    {
+      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
+      if (use_cline_obj) {
+        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
+        Py_DECREF(use_cline_obj);
+      } else {
+        PyErr_Clear();
+        use_cline = NULL;
+      }
+    }
+    if (!use_cline) {
+        c_line = 0;
+        PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
+    }
+    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
+        c_line = 0;
+    }
+    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
+    return c_line;
+}
+#endif
+
+/* CodeObjectCache */
+static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
+    int start = 0, mid = 0, end = count - 1;
+    if (end >= 0 && code_line > entries[end].code_line) {
+        return count;
+    }
+    while (start < end) {
+        mid = start + (end - start) / 2;
+        if (code_line < entries[mid].code_line) {
+            end = mid;
+        } else if (code_line > entries[mid].code_line) {
+             start = mid + 1;
+        } else {
+            return mid;
+        }
+    }
+    if (code_line <= entries[mid].code_line) {
+        return mid;
+    } else {
+        return mid + 1;
+    }
+}
+static PyCodeObject *__pyx_find_code_object(int code_line) {
+    PyCodeObject* code_object;
+    int pos;
+    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
+        return NULL;
+    }
+    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
+    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
+        return NULL;
+    }
+    code_object = __pyx_code_cache.entries[pos].code_object;
+    Py_INCREF(code_object);
+    return code_object;
+}
+static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
+    int pos, i;
+    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
+    if (unlikely(!code_line)) {
+        return;
+    }
+    if (unlikely(!entries)) {
+        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
+        if (likely(entries)) {
+            __pyx_code_cache.entries = entries;
+            __pyx_code_cache.max_count = 64;
+            __pyx_code_cache.count = 1;
+            entries[0].code_line = code_line;
+            entries[0].code_object = code_object;
+            Py_INCREF(code_object);
+        }
+        return;
+    }
+    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
+    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
+        PyCodeObject* tmp = entries[pos].code_object;
+        entries[pos].code_object = code_object;
+        Py_DECREF(tmp);
+        return;
+    }
+    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
+        int new_max = __pyx_code_cache.max_count + 64;
+        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
+            __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
+        if (unlikely(!entries)) {
+            return;
+        }
+        __pyx_code_cache.entries = entries;
+        __pyx_code_cache.max_count = new_max;
+    }
+    for (i=__pyx_code_cache.count; i>pos; i--) {
+        entries[i] = entries[i-1];
+    }
+    entries[pos].code_line = code_line;
+    entries[pos].code_object = code_object;
+    __pyx_code_cache.count++;
+    Py_INCREF(code_object);
+}
+
+/* AddTraceback */
+#include "compile.h"
+#include "frameobject.h"
+#include "traceback.h"
+static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
+            const char *funcname, int c_line,
+            int py_line, const char *filename) {
+    PyCodeObject *py_code = 0;
+    PyObject *py_srcfile = 0;
+    PyObject *py_funcname = 0;
+    #if PY_MAJOR_VERSION < 3
+    py_srcfile = PyString_FromString(filename);
+    #else
+    py_srcfile = PyUnicode_FromString(filename);
+    #endif
+    if (!py_srcfile) goto bad;
+    if (c_line) {
+        #if PY_MAJOR_VERSION < 3
+        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
+        #else
+        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
+        #endif
+    }
+    else {
+        #if PY_MAJOR_VERSION < 3
+        py_funcname = PyString_FromString(funcname);
+        #else
+        py_funcname = PyUnicode_FromString(funcname);
+        #endif
+    }
+    if (!py_funcname) goto bad;
+    py_code = __Pyx_PyCode_New(
+        0,
+        0,
+        0,
+        0,
+        0,
+        __pyx_empty_bytes, /*PyObject *code,*/
+        __pyx_empty_tuple, /*PyObject *consts,*/
+        __pyx_empty_tuple, /*PyObject *names,*/
+        __pyx_empty_tuple, /*PyObject *varnames,*/
+        __pyx_empty_tuple, /*PyObject *freevars,*/
+        __pyx_empty_tuple, /*PyObject *cellvars,*/
+        py_srcfile,   /*PyObject *filename,*/
+        py_funcname,  /*PyObject *name,*/
+        py_line,
+        __pyx_empty_bytes  /*PyObject *lnotab*/
+    );
+    Py_DECREF(py_srcfile);
+    Py_DECREF(py_funcname);
+    return py_code;
+bad:
+    Py_XDECREF(py_srcfile);
+    Py_XDECREF(py_funcname);
+    return NULL;
+}
+static void __Pyx_AddTraceback(const char *funcname, int c_line,
+                               int py_line, const char *filename) {
+    PyCodeObject *py_code = 0;
+    PyFrameObject *py_frame = 0;
+    PyThreadState *tstate = __Pyx_PyThreadState_Current;
+    if (c_line) {
+        c_line = __Pyx_CLineForTraceback(tstate, c_line);
+    }
+    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
+    if (!py_code) {
+        py_code = __Pyx_CreateCodeObjectForTraceback(
+            funcname, c_line, py_line, filename);
+        if (!py_code) goto bad;
+        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
+    }
+    py_frame = PyFrame_New(
+        tstate,            /*PyThreadState *tstate,*/
+        py_code,           /*PyCodeObject *code,*/
+        __pyx_d,    /*PyObject *globals,*/
+        0                  /*PyObject *locals*/
+    );
+    if (!py_frame) goto bad;
+    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
+    PyTraceBack_Here(py_frame);
+bad:
+    Py_XDECREF(py_code);
+    Py_XDECREF(py_frame);
+}
+
+#if PY_MAJOR_VERSION < 3
+static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
+    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
+        if (__Pyx_TypeCheck(obj, __pyx_array_type)) return __pyx_array_getbuffer(obj, view, flags);
+        if (__Pyx_TypeCheck(obj, __pyx_memoryview_type)) return __pyx_memoryview_getbuffer(obj, view, flags);
+    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
+    return -1;
+}
+static void __Pyx_ReleaseBuffer(Py_buffer *view) {
+    PyObject *obj = view->obj;
+    if (!obj) return;
+    if (PyObject_CheckBuffer(obj)) {
+        PyBuffer_Release(view);
+        return;
+    }
+    if ((0)) {}
+    view->obj = NULL;
+    Py_DECREF(obj);
+}
+#endif
+
+
+/* MemviewSliceIsContig */
+static int
+__pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim)
+{
+    int i, index, step, start;
+    Py_ssize_t itemsize = mvs.memview->view.itemsize;
+    if (order == 'F') {
+        step = 1;
+        start = 0;
+    } else {
+        step = -1;
+        start = ndim - 1;
+    }
+    for (i = 0; i < ndim; i++) {
+        index = start + step * i;
+        if (mvs.suboffsets[index] >= 0 || mvs.strides[index] != itemsize)
+            return 0;
+        itemsize *= mvs.shape[index];
+    }
+    return 1;
+}
+
+/* OverlappingSlices */
+static void
+__pyx_get_array_memory_extents(__Pyx_memviewslice *slice,
+                               void **out_start, void **out_end,
+                               int ndim, size_t itemsize)
+{
+    char *start, *end;
+    int i;
+    start = end = slice->data;
+    for (i = 0; i < ndim; i++) {
+        Py_ssize_t stride = slice->strides[i];
+        Py_ssize_t extent = slice->shape[i];
+        if (extent == 0) {
+            *out_start = *out_end = start;
+            return;
+        } else {
+            if (stride > 0)
+                end += stride * (extent - 1);
+            else
+                start += stride * (extent - 1);
+        }
+    }
+    *out_start = start;
+    *out_end = end + itemsize;
+}
+static int
+__pyx_slices_overlap(__Pyx_memviewslice *slice1,
+                     __Pyx_memviewslice *slice2,
+                     int ndim, size_t itemsize)
+{
+    void *start1, *end1, *start2, *end2;
+    __pyx_get_array_memory_extents(slice1, &start1, &end1, ndim, itemsize);
+    __pyx_get_array_memory_extents(slice2, &start2, &end2, ndim, itemsize);
+    return (start1 < end2) && (start2 < end1);
+}
+
+/* Capsule */
+static CYTHON_INLINE PyObject *
+__pyx_capsule_create(void *p, CYTHON_UNUSED const char *sig)
+{
+    PyObject *cobj;
+#if PY_VERSION_HEX >= 0x02070000
+    cobj = PyCapsule_New(p, sig, NULL);
+#else
+    cobj = PyCObject_FromVoidPtr(p, NULL);
+#endif
+    return cobj;
+}
+
+/* IsLittleEndian */
+static CYTHON_INLINE int __Pyx_Is_Little_Endian(void)
+{
+  union {
+    uint32_t u32;
+    uint8_t u8[4];
+  } S;
+  S.u32 = 0x01020304;
+  return S.u8[0] == 4;
+}
+
+/* BufferFormatCheck */
+static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
+                              __Pyx_BufFmt_StackElem* stack,
+                              __Pyx_TypeInfo* type) {
+  stack[0].field = &ctx->root;
+  stack[0].parent_offset = 0;
+  ctx->root.type = type;
+  ctx->root.name = "buffer dtype";
+  ctx->root.offset = 0;
+  ctx->head = stack;
+  ctx->head->field = &ctx->root;
+  ctx->fmt_offset = 0;
+  ctx->head->parent_offset = 0;
+  ctx->new_packmode = '@';
+  ctx->enc_packmode = '@';
+  ctx->new_count = 1;
+  ctx->enc_count = 0;
+  ctx->enc_type = 0;
+  ctx->is_complex = 0;
+  ctx->is_valid_array = 0;
+  ctx->struct_alignment = 0;
+  while (type->typegroup == 'S') {
+    ++ctx->head;
+    ctx->head->field = type->fields;
+    ctx->head->parent_offset = 0;
+    type = type->fields->type;
+  }
+}
+static int __Pyx_BufFmt_ParseNumber(const char** ts) {
+    int count;
+    const char* t = *ts;
+    if (*t < '0' || *t > '9') {
+      return -1;
+    } else {
+        count = *t++ - '0';
+        while (*t >= '0' && *t <= '9') {
+            count *= 10;
+            count += *t++ - '0';
+        }
+    }
+    *ts = t;
+    return count;
+}
+static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
+    int number = __Pyx_BufFmt_ParseNumber(ts);
+    if (number == -1)
+        PyErr_Format(PyExc_ValueError,\
+                     "Does not understand character buffer dtype format string ('%c')", **ts);
+    return number;
+}
+static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
+  PyErr_Format(PyExc_ValueError,
+               "Unexpected format string character: '%c'", ch);
+}
+static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
+  switch (ch) {
+    case '?': return "'bool'";
+    case 'c': return "'char'";
+    case 'b': return "'signed char'";
+    case 'B': return "'unsigned char'";
+    case 'h': return "'short'";
+    case 'H': return "'unsigned short'";
+    case 'i': return "'int'";
+    case 'I': return "'unsigned int'";
+    case 'l': return "'long'";
+    case 'L': return "'unsigned long'";
+    case 'q': return "'long long'";
+    case 'Q': return "'unsigned long long'";
+    case 'f': return (is_complex ? "'complex float'" : "'float'");
+    case 'd': return (is_complex ? "'complex double'" : "'double'");
+    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
+    case 'T': return "a struct";
+    case 'O': return "Python object";
+    case 'P': return "a pointer";
+    case 's': case 'p': return "a string";
+    case 0: return "end";
+    default: return "unparseable format string";
+  }
+}
+static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return 2;
+    case 'i': case 'I': case 'l': case 'L': return 4;
+    case 'q': case 'Q': return 8;
+    case 'f': return (is_complex ? 8 : 4);
+    case 'd': return (is_complex ? 16 : 8);
+    case 'g': {
+      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
+      return 0;
+    }
+    case 'O': case 'P': return sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(short);
+    case 'i': case 'I': return sizeof(int);
+    case 'l': case 'L': return sizeof(long);
+    #ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
+    #endif
+    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
+    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
+    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
+    case 'O': case 'P': return sizeof(void*);
+    default: {
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+  }
+}
+typedef struct { char c; short x; } __Pyx_st_short;
+typedef struct { char c; int x; } __Pyx_st_int;
+typedef struct { char c; long x; } __Pyx_st_long;
+typedef struct { char c; float x; } __Pyx_st_float;
+typedef struct { char c; double x; } __Pyx_st_double;
+typedef struct { char c; long double x; } __Pyx_st_longdouble;
+typedef struct { char c; void *x; } __Pyx_st_void_p;
+#ifdef HAVE_LONG_LONG
+typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
+#endif
+static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
+    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
+    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
+#ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
+#endif
+    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
+    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
+    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
+    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+/* These are for computing the padding at the end of the struct to align
+   on the first member of the struct. This will probably the same as above,
+   but we don't have any guarantees.
+ */
+typedef struct { short x; char c; } __Pyx_pad_short;
+typedef struct { int x; char c; } __Pyx_pad_int;
+typedef struct { long x; char c; } __Pyx_pad_long;
+typedef struct { float x; char c; } __Pyx_pad_float;
+typedef struct { double x; char c; } __Pyx_pad_double;
+typedef struct { long double x; char c; } __Pyx_pad_longdouble;
+typedef struct { void *x; char c; } __Pyx_pad_void_p;
+#ifdef HAVE_LONG_LONG
+typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
+#endif
+static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
+    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
+    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
+#ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
+#endif
+    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
+    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
+    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
+    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
+  switch (ch) {
+    case 'c':
+        return 'H';
+    case 'b': case 'h': case 'i':
+    case 'l': case 'q': case 's': case 'p':
+        return 'I';
+    case '?': case 'B': case 'H': case 'I': case 'L': case 'Q':
+        return 'U';
+    case 'f': case 'd': case 'g':
+        return (is_complex ? 'C' : 'R');
+    case 'O':
+        return 'O';
+    case 'P':
+        return 'P';
+    default: {
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+  }
+}
+static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
+  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
+    const char* expected;
+    const char* quote;
+    if (ctx->head == NULL) {
+      expected = "end";
+      quote = "";
+    } else {
+      expected = ctx->head->field->type->name;
+      quote = "'";
+    }
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer dtype mismatch, expected %s%s%s but got %s",
+                 quote, expected, quote,
+                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
+  } else {
+    __Pyx_StructField* field = ctx->head->field;
+    __Pyx_StructField* parent = (ctx->head - 1)->field;
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
+                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
+                 parent->type->name, field->name);
+  }
+}
+static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
+  char group;
+  size_t size, offset, arraysize = 1;
+  if (ctx->enc_type == 0) return 0;
+  if (ctx->head->field->type->arraysize[0]) {
+    int i, ndim = 0;
+    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
+        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
+        ndim = 1;
+        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
+            PyErr_Format(PyExc_ValueError,
+                         "Expected a dimension of size %zu, got %zu",
+                         ctx->head->field->type->arraysize[0], ctx->enc_count);
+            return -1;
+        }
+    }
+    if (!ctx->is_valid_array) {
+      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
+                   ctx->head->field->type->ndim, ndim);
+      return -1;
+    }
+    for (i = 0; i < ctx->head->field->type->ndim; i++) {
+      arraysize *= ctx->head->field->type->arraysize[i];
+    }
+    ctx->is_valid_array = 0;
+    ctx->enc_count = 1;
+  }
+  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
+  do {
+    __Pyx_StructField* field = ctx->head->field;
+    __Pyx_TypeInfo* type = field->type;
+    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
+      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
+    } else {
+      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
+    }
+    if (ctx->enc_packmode == '@') {
+      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
+      size_t align_mod_offset;
+      if (align_at == 0) return -1;
+      align_mod_offset = ctx->fmt_offset % align_at;
+      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
+      if (ctx->struct_alignment == 0)
+          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
+                                                                 ctx->is_complex);
+    }
+    if (type->size != size || type->typegroup != group) {
+      if (type->typegroup == 'C' && type->fields != NULL) {
+        size_t parent_offset = ctx->head->parent_offset + field->offset;
+        ++ctx->head;
+        ctx->head->field = type->fields;
+        ctx->head->parent_offset = parent_offset;
+        continue;
+      }
+      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
+      } else {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return -1;
+      }
+    }
+    offset = ctx->head->parent_offset + field->offset;
+    if (ctx->fmt_offset != offset) {
+      PyErr_Format(PyExc_ValueError,
+                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
+                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
+      return -1;
+    }
+    ctx->fmt_offset += size;
+    if (arraysize)
+      ctx->fmt_offset += (arraysize - 1) * size;
+    --ctx->enc_count;
+    while (1) {
+      if (field == &ctx->root) {
+        ctx->head = NULL;
+        if (ctx->enc_count != 0) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return -1;
+        }
+        break;
+      }
+      ctx->head->field = ++field;
+      if (field->type == NULL) {
+        --ctx->head;
+        field = ctx->head->field;
+        continue;
+      } else if (field->type->typegroup == 'S') {
+        size_t parent_offset = ctx->head->parent_offset + field->offset;
+        if (field->type->fields->type == NULL) continue;
+        field = field->type->fields;
+        ++ctx->head;
+        ctx->head->field = field;
+        ctx->head->parent_offset = parent_offset;
+        break;
+      } else {
+        break;
+      }
+    }
+  } while (ctx->enc_count);
+  ctx->enc_type = 0;
+  ctx->is_complex = 0;
+  return 0;
+}
+static PyObject *
+__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
+{
+    const char *ts = *tsp;
+    int i = 0, number, ndim;
+    ++ts;
+    if (ctx->new_count != 1) {
+        PyErr_SetString(PyExc_ValueError,
+                        "Cannot handle repeated arrays in format string");
+        return NULL;
+    }
+    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+    ndim = ctx->head->field->type->ndim;
+    while (*ts && *ts != ')') {
+        switch (*ts) {
+            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
+            default:  break;
+        }
+        number = __Pyx_BufFmt_ExpectNumber(&ts);
+        if (number == -1) return NULL;
+        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
+            return PyErr_Format(PyExc_ValueError,
+                        "Expected a dimension of size %zu, got %d",
+                        ctx->head->field->type->arraysize[i], number);
+        if (*ts != ',' && *ts != ')')
+            return PyErr_Format(PyExc_ValueError,
+                                "Expected a comma in format string, got '%c'", *ts);
+        if (*ts == ',') ts++;
+        i++;
+    }
+    if (i != ndim)
+        return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
+                            ctx->head->field->type->ndim, i);
+    if (!*ts) {
+        PyErr_SetString(PyExc_ValueError,
+                        "Unexpected end of format string, expected ')'");
+        return NULL;
+    }
+    ctx->is_valid_array = 1;
+    ctx->new_count = 1;
+    *tsp = ++ts;
+    return Py_None;
+}
+static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
+  int got_Z = 0;
+  while (1) {
+    switch(*ts) {
+      case 0:
+        if (ctx->enc_type != 0 && ctx->head == NULL) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return NULL;
+        }
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        if (ctx->head != NULL) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return NULL;
+        }
+        return ts;
+      case ' ':
+      case '\r':
+      case '\n':
+        ++ts;
+        break;
+      case '<':
+        if (!__Pyx_Is_Little_Endian()) {
+          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
+          return NULL;
+        }
+        ctx->new_packmode = '=';
+        ++ts;
+        break;
+      case '>':
+      case '!':
+        if (__Pyx_Is_Little_Endian()) {
+          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
+          return NULL;
+        }
+        ctx->new_packmode = '=';
+        ++ts;
+        break;
+      case '=':
+      case '@':
+      case '^':
+        ctx->new_packmode = *ts++;
+        break;
+      case 'T':
+        {
+          const char* ts_after_sub;
+          size_t i, struct_count = ctx->new_count;
+          size_t struct_alignment = ctx->struct_alignment;
+          ctx->new_count = 1;
+          ++ts;
+          if (*ts != '{') {
+            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
+            return NULL;
+          }
+          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+          ctx->enc_type = 0;
+          ctx->enc_count = 0;
+          ctx->struct_alignment = 0;
+          ++ts;
+          ts_after_sub = ts;
+          for (i = 0; i != struct_count; ++i) {
+            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
+            if (!ts_after_sub) return NULL;
+          }
+          ts = ts_after_sub;
+          if (struct_alignment) ctx->struct_alignment = struct_alignment;
+        }
+        break;
+      case '}':
+        {
+          size_t alignment = ctx->struct_alignment;
+          ++ts;
+          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+          ctx->enc_type = 0;
+          if (alignment && ctx->fmt_offset % alignment) {
+            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
+          }
+        }
+        return ts;
+      case 'x':
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        ctx->fmt_offset += ctx->new_count;
+        ctx->new_count = 1;
+        ctx->enc_count = 0;
+        ctx->enc_type = 0;
+        ctx->enc_packmode = ctx->new_packmode;
+        ++ts;
+        break;
+      case 'Z':
+        got_Z = 1;
+        ++ts;
+        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
+          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
+          return NULL;
+        }
+        CYTHON_FALLTHROUGH;
+      case '?': case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
+      case 'l': case 'L': case 'q': case 'Q':
+      case 'f': case 'd': case 'g':
+      case 'O': case 'p':
+        if ((ctx->enc_type == *ts) && (got_Z == ctx->is_complex) &&
+            (ctx->enc_packmode == ctx->new_packmode) && (!ctx->is_valid_array)) {
+          ctx->enc_count += ctx->new_count;
+          ctx->new_count = 1;
+          got_Z = 0;
+          ++ts;
+          break;
+        }
+        CYTHON_FALLTHROUGH;
+      case 's':
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        ctx->enc_count = ctx->new_count;
+        ctx->enc_packmode = ctx->new_packmode;
+        ctx->enc_type = *ts;
+        ctx->is_complex = got_Z;
+        ++ts;
+        ctx->new_count = 1;
+        got_Z = 0;
+        break;
+      case ':':
+        ++ts;
+        while(*ts != ':') ++ts;
+        ++ts;
+        break;
+      case '(':
+        if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
+        break;
+      default:
+        {
+          int number = __Pyx_BufFmt_ExpectNumber(&ts);
+          if (number == -1) return NULL;
+          ctx->new_count = (size_t)number;
+        }
+    }
+  }
+}
+
+/* TypeInfoCompare */
+  static int
+__pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b)
+{
+    int i;
+    if (!a || !b)
+        return 0;
+    if (a == b)
+        return 1;
+    if (a->size != b->size || a->typegroup != b->typegroup ||
+            a->is_unsigned != b->is_unsigned || a->ndim != b->ndim) {
+        if (a->typegroup == 'H' || b->typegroup == 'H') {
+            return a->size == b->size;
+        } else {
+            return 0;
+        }
+    }
+    if (a->ndim) {
+        for (i = 0; i < a->ndim; i++)
+            if (a->arraysize[i] != b->arraysize[i])
+                return 0;
+    }
+    if (a->typegroup == 'S') {
+        if (a->flags != b->flags)
+            return 0;
+        if (a->fields || b->fields) {
+            if (!(a->fields && b->fields))
+                return 0;
+            for (i = 0; a->fields[i].type && b->fields[i].type; i++) {
+                __Pyx_StructField *field_a = a->fields + i;
+                __Pyx_StructField *field_b = b->fields + i;
+                if (field_a->offset != field_b->offset ||
+                    !__pyx_typeinfo_cmp(field_a->type, field_b->type))
+                    return 0;
+            }
+            return !a->fields[i].type && !b->fields[i].type;
+        }
+    }
+    return 1;
+}
+
+/* MemviewSliceValidateAndInit */
+  static int
+__pyx_check_strides(Py_buffer *buf, int dim, int ndim, int spec)
+{
+    if (buf->shape[dim] <= 1)
+        return 1;
+    if (buf->strides) {
+        if (spec & __Pyx_MEMVIEW_CONTIG) {
+            if (spec & (__Pyx_MEMVIEW_PTR|__Pyx_MEMVIEW_FULL)) {
+                if (unlikely(buf->strides[dim] != sizeof(void *))) {
+                    PyErr_Format(PyExc_ValueError,
+                                 "Buffer is not indirectly contiguous "
+                                 "in dimension %d.", dim);
+                    goto fail;
+                }
+            } else if (unlikely(buf->strides[dim] != buf->itemsize)) {
+                PyErr_SetString(PyExc_ValueError,
+                                "Buffer and memoryview are not contiguous "
+                                "in the same dimension.");
+                goto fail;
+            }
+        }
+        if (spec & __Pyx_MEMVIEW_FOLLOW) {
+            Py_ssize_t stride = buf->strides[dim];
+            if (stride < 0)
+                stride = -stride;
+            if (unlikely(stride < buf->itemsize)) {
+                PyErr_SetString(PyExc_ValueError,
+                                "Buffer and memoryview are not contiguous "
+                                "in the same dimension.");
+                goto fail;
+            }
+        }
+    } else {
+        if (unlikely(spec & __Pyx_MEMVIEW_CONTIG && dim != ndim - 1)) {
+            PyErr_Format(PyExc_ValueError,
+                         "C-contiguous buffer is not contiguous in "
+                         "dimension %d", dim);
+            goto fail;
+        } else if (unlikely(spec & (__Pyx_MEMVIEW_PTR))) {
+            PyErr_Format(PyExc_ValueError,
+                         "C-contiguous buffer is not indirect in "
+                         "dimension %d", dim);
+            goto fail;
+        } else if (unlikely(buf->suboffsets)) {
+            PyErr_SetString(PyExc_ValueError,
+                            "Buffer exposes suboffsets but no strides");
+            goto fail;
+        }
+    }
+    return 1;
+fail:
+    return 0;
+}
+static int
+__pyx_check_suboffsets(Py_buffer *buf, int dim, CYTHON_UNUSED int ndim, int spec)
+{
+    if (spec & __Pyx_MEMVIEW_DIRECT) {
+        if (unlikely(buf->suboffsets && buf->suboffsets[dim] >= 0)) {
+            PyErr_Format(PyExc_ValueError,
+                         "Buffer not compatible with direct access "
+                         "in dimension %d.", dim);
+            goto fail;
+        }
+    }
+    if (spec & __Pyx_MEMVIEW_PTR) {
+        if (unlikely(!buf->suboffsets || (buf->suboffsets[dim] < 0))) {
+            PyErr_Format(PyExc_ValueError,
+                         "Buffer is not indirectly accessible "
+                         "in dimension %d.", dim);
+            goto fail;
+        }
+    }
+    return 1;
+fail:
+    return 0;
+}
+static int
+__pyx_verify_contig(Py_buffer *buf, int ndim, int c_or_f_flag)
+{
+    int i;
+    if (c_or_f_flag & __Pyx_IS_F_CONTIG) {
+        Py_ssize_t stride = 1;
+        for (i = 0; i < ndim; i++) {
+            if (unlikely(stride * buf->itemsize != buf->strides[i]  &&  buf->shape[i] > 1)) {
+                PyErr_SetString(PyExc_ValueError,
+                    "Buffer not fortran contiguous.");
+                goto fail;
+            }
+            stride = stride * buf->shape[i];
+        }
+    } else if (c_or_f_flag & __Pyx_IS_C_CONTIG) {
+        Py_ssize_t stride = 1;
+        for (i = ndim - 1; i >- 1; i--) {
+            if (unlikely(stride * buf->itemsize != buf->strides[i]  &&  buf->shape[i] > 1)) {
+                PyErr_SetString(PyExc_ValueError,
+                    "Buffer not C contiguous.");
+                goto fail;
+            }
+            stride = stride * buf->shape[i];
+        }
+    }
+    return 1;
+fail:
+    return 0;
+}
+static int __Pyx_ValidateAndInit_memviewslice(
+                int *axes_specs,
+                int c_or_f_flag,
+                int buf_flags,
+                int ndim,
+                __Pyx_TypeInfo *dtype,
+                __Pyx_BufFmt_StackElem stack[],
+                __Pyx_memviewslice *memviewslice,
+                PyObject *original_obj)
+{
+    struct __pyx_memoryview_obj *memview, *new_memview;
+    __Pyx_RefNannyDeclarations
+    Py_buffer *buf;
+    int i, spec = 0, retval = -1;
+    __Pyx_BufFmt_Context ctx;
+    int from_memoryview = __pyx_memoryview_check(original_obj);
+    __Pyx_RefNannySetupContext("ValidateAndInit_memviewslice", 0);
+    if (from_memoryview && __pyx_typeinfo_cmp(dtype, ((struct __pyx_memoryview_obj *)
+                                                            original_obj)->typeinfo)) {
+        memview = (struct __pyx_memoryview_obj *) original_obj;
+        new_memview = NULL;
+    } else {
+        memview = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
+                                            original_obj, buf_flags, 0, dtype);
+        new_memview = memview;
+        if (unlikely(!memview))
+            goto fail;
+    }
+    buf = &memview->view;
+    if (unlikely(buf->ndim != ndim)) {
+        PyErr_Format(PyExc_ValueError,
+                "Buffer has wrong number of dimensions (expected %d, got %d)",
+                ndim, buf->ndim);
+        goto fail;
+    }
+    if (new_memview) {
+        __Pyx_BufFmt_Init(&ctx, stack, dtype);
+        if (unlikely(!__Pyx_BufFmt_CheckString(&ctx, buf->format))) goto fail;
+    }
+    if (unlikely((unsigned) buf->itemsize != dtype->size)) {
+        PyErr_Format(PyExc_ValueError,
+                     "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "u byte%s) "
+                     "does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "u byte%s)",
+                     buf->itemsize,
+                     (buf->itemsize > 1) ? "s" : "",
+                     dtype->name,
+                     dtype->size,
+                     (dtype->size > 1) ? "s" : "");
+        goto fail;
+    }
+    if (buf->len > 0) {
+        for (i = 0; i < ndim; i++) {
+            spec = axes_specs[i];
+            if (unlikely(!__pyx_check_strides(buf, i, ndim, spec)))
+                goto fail;
+            if (unlikely(!__pyx_check_suboffsets(buf, i, ndim, spec)))
+                goto fail;
+        }
+        if (unlikely(buf->strides && !__pyx_verify_contig(buf, ndim, c_or_f_flag)))
+            goto fail;
+    }
+    if (unlikely(__Pyx_init_memviewslice(memview, ndim, memviewslice,
+                                         new_memview != NULL) == -1)) {
+        goto fail;
+    }
+    retval = 0;
+    goto no_fail;
+fail:
+    Py_XDECREF(new_memview);
+    retval = -1;
+no_fail:
+    __Pyx_RefNannyFinishContext();
+    return retval;
+}
+
+/* ObjectToMemviewSlice */
+  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_float(PyObject *obj, int writable_flag) {
+    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
+    __Pyx_BufFmt_StackElem stack[1];
+    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
+    int retcode;
+    if (obj == Py_None) {
+        result.memview = (struct __pyx_memoryview_obj *) Py_None;
+        return result;
+    }
+    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
+                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 3,
+                                                 &__Pyx_TypeInfo_float, stack,
+                                                 &result, obj);
+    if (unlikely(retcode == -1))
+        goto __pyx_fail;
+    return result;
+__pyx_fail:
+    result.memview = NULL;
+    result.data = NULL;
+    return result;
+}
+
+/* CIntFromPyVerify */
+  #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
+    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
+#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
+    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
+#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
+    {\
+        func_type value = func_value;\
+        if (sizeof(target_type) < sizeof(func_type)) {\
+            if (unlikely(value != (func_type) (target_type) value)) {\
+                func_type zero = 0;\
+                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
+                    return (target_type) -1;\
+                if (is_unsigned && unlikely(value < zero))\
+                    goto raise_neg_overflow;\
+                else\
+                    goto raise_overflow;\
+            }\
+        }\
+        return (target_type) value;\
+    }
+
+/* MemviewSliceCopyTemplate */
+  static __Pyx_memviewslice
+__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
+                                 const char *mode, int ndim,
+                                 size_t sizeof_dtype, int contig_flag,
+                                 int dtype_is_object)
+{
+    __Pyx_RefNannyDeclarations
+    int i;
+    __Pyx_memviewslice new_mvs = { 0, 0, { 0 }, { 0 }, { 0 } };
+    struct __pyx_memoryview_obj *from_memview = from_mvs->memview;
+    Py_buffer *buf = &from_memview->view;
+    PyObject *shape_tuple = NULL;
+    PyObject *temp_int = NULL;
+    struct __pyx_array_obj *array_obj = NULL;
+    struct __pyx_memoryview_obj *memview_obj = NULL;
+    __Pyx_RefNannySetupContext("__pyx_memoryview_copy_new_contig", 0);
+    for (i = 0; i < ndim; i++) {
+        if (unlikely(from_mvs->suboffsets[i] >= 0)) {
+            PyErr_Format(PyExc_ValueError, "Cannot copy memoryview slice with "
+                                           "indirect dimensions (axis %d)", i);
+            goto fail;
+        }
+    }
+    shape_tuple = PyTuple_New(ndim);
+    if (unlikely(!shape_tuple)) {
+        goto fail;
+    }
+    __Pyx_GOTREF(shape_tuple);
+    for(i = 0; i < ndim; i++) {
+        temp_int = PyInt_FromSsize_t(from_mvs->shape[i]);
+        if(unlikely(!temp_int)) {
+            goto fail;
+        } else {
+            PyTuple_SET_ITEM(shape_tuple, i, temp_int);
+            temp_int = NULL;
+        }
+    }
+    array_obj = __pyx_array_new(shape_tuple, sizeof_dtype, buf->format, (char *) mode, NULL);
+    if (unlikely(!array_obj)) {
+        goto fail;
+    }
+    __Pyx_GOTREF(array_obj);
+    memview_obj = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
+                                    (PyObject *) array_obj, contig_flag,
+                                    dtype_is_object,
+                                    from_mvs->memview->typeinfo);
+    if (unlikely(!memview_obj))
+        goto fail;
+    if (unlikely(__Pyx_init_memviewslice(memview_obj, ndim, &new_mvs, 1) < 0))
+        goto fail;
+    if (unlikely(__pyx_memoryview_copy_contents(*from_mvs, new_mvs, ndim, ndim,
+                                                dtype_is_object) < 0))
+        goto fail;
+    goto no_fail;
+fail:
+    __Pyx_XDECREF(new_mvs.memview);
+    new_mvs.memview = NULL;
+    new_mvs.data = NULL;
+no_fail:
+    __Pyx_XDECREF(shape_tuple);
+    __Pyx_XDECREF(temp_int);
+    __Pyx_XDECREF(array_obj);
+    __Pyx_RefNannyFinishContext();
+    return new_mvs;
+}
+
+/* CIntToPy */
+  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const int neg_one = (int) -1, const_zero = (int) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+    if (is_unsigned) {
+        if (sizeof(int) < sizeof(long)) {
+            return PyInt_FromLong((long) value);
+        } else if (sizeof(int) <= sizeof(unsigned long)) {
+            return PyLong_FromUnsignedLong((unsigned long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
+#endif
+        }
+    } else {
+        if (sizeof(int) <= sizeof(long)) {
+            return PyInt_FromLong((long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
+            return PyLong_FromLongLong((PY_LONG_LONG) value);
+#endif
+        }
+    }
+    {
+        int one = 1; int little = (int)*(unsigned char *)&one;
+        unsigned char *bytes = (unsigned char *)&value;
+        return _PyLong_FromByteArray(bytes, sizeof(int),
+                                     little, !is_unsigned);
+    }
+}
+
+/* CIntFromPy */
+  static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const int neg_one = (int) -1, const_zero = (int) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if (sizeof(int) < sizeof(long)) {
+            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (int) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (int) 0;
+                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
+                case 2:
+                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
+                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
+                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
+                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                        }
+                    }
+                    break;
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (int) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if (sizeof(int) <= sizeof(unsigned long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (int) 0;
+                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
+                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
+                case -2:
+                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
+                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case 2:
+                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
+                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case -3:
+                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
+                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
+                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case -4:
+                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
+                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
+                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+            }
+#endif
+            if (sizeof(int) <= sizeof(long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
+            PyErr_SetString(PyExc_RuntimeError,
+                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
+#else
+            int val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+ #if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+ #endif
+            if (likely(v)) {
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                int ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                              bytes, sizeof(val),
+                                              is_little, !is_unsigned);
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+#endif
+            return (int) -1;
+        }
+    } else {
+        int val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (int) -1;
+        val = __Pyx_PyInt_As_int(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to int");
+    return (int) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to int");
+    return (int) -1;
+}
+
+/* CIntFromPy */
+  static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const long neg_one = (long) -1, const_zero = (long) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if (sizeof(long) < sizeof(long)) {
+            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (long) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (long) 0;
+                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
+                case 2:
+                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
+                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
+                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
+                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                        }
+                    }
+                    break;
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (long) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if (sizeof(long) <= sizeof(unsigned long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (long) 0;
+                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
+                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
+                case -2:
+                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case 2:
+                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case -3:
+                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case -4:
+                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+            }
+#endif
+            if (sizeof(long) <= sizeof(long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
+            PyErr_SetString(PyExc_RuntimeError,
+                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
+#else
+            long val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+ #if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+ #endif
+            if (likely(v)) {
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                int ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                              bytes, sizeof(val),
+                                              is_little, !is_unsigned);
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+#endif
+            return (long) -1;
+        }
+    } else {
+        long val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (long) -1;
+        val = __Pyx_PyInt_As_long(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to long");
+    return (long) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to long");
+    return (long) -1;
+}
+
+/* CIntToPy */
+  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const long neg_one = (long) -1, const_zero = (long) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+    if (is_unsigned) {
+        if (sizeof(long) < sizeof(long)) {
+            return PyInt_FromLong((long) value);
+        } else if (sizeof(long) <= sizeof(unsigned long)) {
+            return PyLong_FromUnsignedLong((unsigned long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
+#endif
+        }
+    } else {
+        if (sizeof(long) <= sizeof(long)) {
+            return PyInt_FromLong((long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
+            return PyLong_FromLongLong((PY_LONG_LONG) value);
+#endif
+        }
+    }
+    {
+        int one = 1; int little = (int)*(unsigned char *)&one;
+        unsigned char *bytes = (unsigned char *)&value;
+        return _PyLong_FromByteArray(bytes, sizeof(long),
+                                     little, !is_unsigned);
+    }
+}
+
+/* CIntFromPy */
+  static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *x) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const char neg_one = (char) -1, const_zero = (char) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if (sizeof(char) < sizeof(long)) {
+            __PYX_VERIFY_RETURN_INT(char, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (char) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (char) 0;
+                case  1: __PYX_VERIFY_RETURN_INT(char, digit, digits[0])
+                case 2:
+                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) >= 2 * PyLong_SHIFT) {
+                            return (char) (((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) >= 3 * PyLong_SHIFT) {
+                            return (char) (((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) >= 4 * PyLong_SHIFT) {
+                            return (char) (((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
+                        }
+                    }
+                    break;
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (char) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if (sizeof(char) <= sizeof(unsigned long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(char) <= sizeof(unsigned PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (char) 0;
+                case -1: __PYX_VERIFY_RETURN_INT(char, sdigit, (sdigit) (-(sdigit)digits[0]))
+                case  1: __PYX_VERIFY_RETURN_INT(char,  digit, +digits[0])
+                case -2:
+                    if (8 * sizeof(char) - 1 > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
+                            return (char) (((char)-1)*(((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case 2:
+                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
+                            return (char) ((((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case -3:
+                    if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
+                            return (char) (((char)-1)*(((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
+                            return (char) ((((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case -4:
+                    if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
+                            return (char) (((char)-1)*(((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
+                            return (char) ((((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
+                        }
+                    }
+                    break;
+            }
+#endif
+            if (sizeof(char) <= sizeof(long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(char, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(char) <= sizeof(PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(char, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
+            PyErr_SetString(PyExc_RuntimeError,
+                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
+#else
+            char val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+ #if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+ #endif
+            if (likely(v)) {
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                int ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                              bytes, sizeof(val),
+                                              is_little, !is_unsigned);
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+#endif
+            return (char) -1;
+        }
+    } else {
+        char val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (char) -1;
+        val = __Pyx_PyInt_As_char(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to char");
+    return (char) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to char");
+    return (char) -1;
+}
+
+/* CheckBinaryVersion */
+  static int __Pyx_check_binary_version(void) {
+    char ctversion[4], rtversion[4];
+    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
+    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
+    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
+        char message[200];
+        PyOS_snprintf(message, sizeof(message),
+                      "compiletime version %s of module '%.100s' "
+                      "does not match runtime version %s",
+                      ctversion, __Pyx_MODULE_NAME, rtversion);
+        return PyErr_WarnEx(NULL, message, 1);
+    }
+    return 0;
+}
+
+/* InitStrings */
+  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
+    while (t->p) {
+        #if PY_MAJOR_VERSION < 3
+        if (t->is_unicode) {
+            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
+        } else if (t->intern) {
+            *t->p = PyString_InternFromString(t->s);
+        } else {
+            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
+        }
+        #else
+        if (t->is_unicode | t->is_str) {
+            if (t->intern) {
+                *t->p = PyUnicode_InternFromString(t->s);
+            } else if (t->encoding) {
+                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
+            } else {
+                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
+            }
+        } else {
+            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
+        }
+        #endif
+        if (!*t->p)
+            return -1;
+        if (PyObject_Hash(*t->p) == -1)
+            return -1;
+        ++t;
+    }
+    return 0;
+}
+
+static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
+    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
+}
+static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
+    Py_ssize_t ignore;
+    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
+}
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+#if !CYTHON_PEP393_ENABLED
+static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+    char* defenc_c;
+    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
+    if (!defenc) return NULL;
+    defenc_c = PyBytes_AS_STRING(defenc);
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+    {
+        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
+        char* c;
+        for (c = defenc_c; c < end; c++) {
+            if ((unsigned char) (*c) >= 128) {
+                PyUnicode_AsASCIIString(o);
+                return NULL;
+            }
+        }
+    }
+#endif
+    *length = PyBytes_GET_SIZE(defenc);
+    return defenc_c;
+}
+#else
+static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+    if (likely(PyUnicode_IS_ASCII(o))) {
+        *length = PyUnicode_GET_LENGTH(o);
+        return PyUnicode_AsUTF8(o);
+    } else {
+        PyUnicode_AsASCIIString(o);
+        return NULL;
+    }
+#else
+    return PyUnicode_AsUTF8AndSize(o, length);
+#endif
+}
+#endif
+#endif
+static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+    if (
+#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+            __Pyx_sys_getdefaultencoding_not_ascii &&
+#endif
+            PyUnicode_Check(o)) {
+        return __Pyx_PyUnicode_AsStringAndSize(o, length);
+    } else
+#endif
+#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
+    if (PyByteArray_Check(o)) {
+        *length = PyByteArray_GET_SIZE(o);
+        return PyByteArray_AS_STRING(o);
+    } else
+#endif
+    {
+        char* result;
+        int r = PyBytes_AsStringAndSize(o, &result, length);
+        if (unlikely(r < 0)) {
+            return NULL;
+        } else {
+            return result;
+        }
+    }
+}
+static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
+   int is_true = x == Py_True;
+   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
+   else return PyObject_IsTrue(x);
+}
+static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
+    int retval;
+    if (unlikely(!x)) return -1;
+    retval = __Pyx_PyObject_IsTrue(x);
+    Py_DECREF(x);
+    return retval;
+}
+static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
+#if PY_MAJOR_VERSION >= 3
+    if (PyLong_Check(result)) {
+        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
+                "__int__ returned non-int (type %.200s).  "
+                "The ability to return an instance of a strict subclass of int "
+                "is deprecated, and may be removed in a future version of Python.",
+                Py_TYPE(result)->tp_name)) {
+            Py_DECREF(result);
+            return NULL;
+        }
+        return result;
+    }
+#endif
+    PyErr_Format(PyExc_TypeError,
+                 "__%.4s__ returned non-%.4s (type %.200s)",
+                 type_name, type_name, Py_TYPE(result)->tp_name);
+    Py_DECREF(result);
+    return NULL;
+}
+static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
+#if CYTHON_USE_TYPE_SLOTS
+  PyNumberMethods *m;
+#endif
+  const char *name = NULL;
+  PyObject *res = NULL;
+#if PY_MAJOR_VERSION < 3
+  if (likely(PyInt_Check(x) || PyLong_Check(x)))
+#else
+  if (likely(PyLong_Check(x)))
+#endif
+    return __Pyx_NewRef(x);
+#if CYTHON_USE_TYPE_SLOTS
+  m = Py_TYPE(x)->tp_as_number;
+  #if PY_MAJOR_VERSION < 3
+  if (m && m->nb_int) {
+    name = "int";
+    res = m->nb_int(x);
+  }
+  else if (m && m->nb_long) {
+    name = "long";
+    res = m->nb_long(x);
+  }
+  #else
+  if (likely(m && m->nb_int)) {
+    name = "int";
+    res = m->nb_int(x);
+  }
+  #endif
+#else
+  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
+    res = PyNumber_Int(x);
+  }
+#endif
+  if (likely(res)) {
+#if PY_MAJOR_VERSION < 3
+    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
+#else
+    if (unlikely(!PyLong_CheckExact(res))) {
+#endif
+        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
+    }
+  }
+  else if (!PyErr_Occurred()) {
+    PyErr_SetString(PyExc_TypeError,
+                    "an integer is required");
+  }
+  return res;
+}
+static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
+  Py_ssize_t ival;
+  PyObject *x;
+#if PY_MAJOR_VERSION < 3
+  if (likely(PyInt_CheckExact(b))) {
+    if (sizeof(Py_ssize_t) >= sizeof(long))
+        return PyInt_AS_LONG(b);
+    else
+        return PyInt_AsSsize_t(b);
+  }
+#endif
+  if (likely(PyLong_CheckExact(b))) {
+    #if CYTHON_USE_PYLONG_INTERNALS
+    const digit* digits = ((PyLongObject*)b)->ob_digit;
+    const Py_ssize_t size = Py_SIZE(b);
+    if (likely(__Pyx_sst_abs(size) <= 1)) {
+        ival = likely(size) ? digits[0] : 0;
+        if (size == -1) ival = -ival;
+        return ival;
+    } else {
+      switch (size) {
+         case 2:
+           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -2:
+           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case 3:
+           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -3:
+           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case 4:
+           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -4:
+           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+      }
+    }
+    #endif
+    return PyLong_AsSsize_t(b);
+  }
+  x = PyNumber_Index(b);
+  if (!x) return -1;
+  ival = PyInt_AsSsize_t(x);
+  Py_DECREF(x);
+  return ival;
+}
+static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
+  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
+}
+static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
+    return PyInt_FromSize_t(ival);
+}
+
+
+#endif /* Py_PYTHON_H */
diff --git a/fastXPCS/fastXPCS/cython/welford.pyx b/fastXPCS/fastXPCS/cython/welford.pyx
new file mode 100644
index 0000000..dcd343b
--- /dev/null
+++ b/fastXPCS/fastXPCS/cython/welford.pyx
@@ -0,0 +1,34 @@
+import cython
+
+@cython.boundscheck(False)
+@cython.wraparound(False)  
+def welford (float[:,:,::1] x,
+             float[:,:,::1] avg,
+             float[:,:,::1] var,
+             float[:,:,::1] alpha):
+
+    cdef int size = avg.shape[0] * avg.shape[1] * avg.shape[2]
+    
+    _wf(&x[0,0,0], &avg[0,0,0], &var[0,0,0], &alpha[0,0,0], size)
+                   
+    
+@cython.boundscheck(False)
+@cython.wraparound(False)    
+cdef _wf(float* x,
+         float* avg,
+         float* var,
+         float* alpha, 
+         int    size):
+    cdef float delta, al, oneNegAl# = 1 - alpha
+    cdef int i
+    
+    
+    for i in range(size):
+        al = alpha[i]
+        oneNegAl = 1 - al
+        delta = x[i] - avg[i]
+        avg[i] += al * delta
+        var[i] = oneNegAl * (var[i] + al * delta * delta)
+    
+    
+
diff --git a/fastXPCS/processOnCPU.py b/fastXPCS/processOnCPU.py
new file mode 100644
index 0000000..4532182
--- /dev/null
+++ b/fastXPCS/processOnCPU.py
@@ -0,0 +1,310 @@
+import os, sys
+from time import time
+from pathlib import Path
+from datetime import datetime
+from h5py import File
+
+from concurrent.futures import ProcessPoolExecutor
+    
+import numpy as np
+from extra_data import open_run
+
+from .algos import WelfordAlg, do_stats, do_dense, do_sparse, do_traditional
+
+
+from argparse import ArgumentParser, Namespace
+
+
+runtypes = { 'stats'           : '00',
+            'denseTTC'         : '1a',
+            'denseTTCSymmNorm' : '1b',
+            'sparseTTC'        : '2a',
+            'sparseTTCSymmNorm': '2b',
+            'traditional'      : '3' 
+        }
+
+trainMath = { 'stats'            : (do_stats, ['tids', 'mean', 'var', 'count']),
+              'denseTTC'         : (do_dense, ['tids', 'ttc_on', 'ttc_off', 's_on', 's_cnt']),
+              'denseTTCSymmNorm' : '1b',
+              'sparseTTC'        : (do_sparse, ['tids', 'ttc_on', 'ttc_off', 's_on', 's_off', 's_cnt']),
+#             'sparseTTCSymmNorm': '2b',
+              'traditional'      : (do_traditional, ['tids', 'ttc_on', 'ttc_off', 's_on', 's_off', 's_cnt'])
+            }
+
+
+
+
+pars = ArgumentParser(prog='processOnCPU')
+
+
+pars.add_argument('--user', default='braussef')
+
+pars.add_argument('--proposal', '-p', dest='proposal', default=2853, type=int )
+pars.add_argument('--runs',     '-r', dest='runs',     default=[70], type=int,
+                   nargs='*')
+pars.add_argument('--type',     '-t', dest='type',     default='stats', 
+                  choices=list(runtypes) )   
+
+
+pars.add_argument('--cal_mask',     '-cmsk', dest='cal_mask',
+                  action="store_true")  # load/use mask from calibration pipeline
+
+pars.add_argument('--photonize',     '-phot', dest='photonize',
+                  action="store_true")  # photonize data
+pars.add_argument('--debug',     '-dbg', dest='debug',
+                  action="store_true")  # serialize for debugging
+pars.add_argument('--aggregate-modules',     '-agg', dest='agg', default=False,
+                  action="store_true")  
+
+pars.add_argument('--energy',     '-e', dest='eng',     default=9.0,
+                  type=float )                                    
+pars.add_argument('--adu_per_keV',     '-adu', dest='adu_per_keV',     default=1.0,
+                  type=float )             
+
+pars.add_argument('--skip_after',     '-sm', dest='skip_after',     default=256,
+                  type=int )             
+
+
+pars.add_argument('--filter_trains',     '-ft', dest='filter_trains',     
+                  action="store_true")  #  process only trainIds in good_trains.npy
+
+pars.add_argument('--out_dir',     '-d', dest='out_dir',     default=None,
+                  type=str )                   
+
+pars.add_argument('--pulse_slice', dest='pulse_slice', default=[0, 352, 1], type=int, nargs=3)
+
+
+
+def getModNo(hdf_file):
+    return int([frag for frag in hdf_file.split('-') if 'AGIPD' in frag][0][-2:])
+
+def getFileNo(hdf_file):
+    return int([frag.split('.')[0][-4:] for frag in hdf_file.split('-') if 'S000' in frag][0])
+
+
+def sliceTrains(hdf_file, module_number, args, good_trains):
+#   global usr_mask, good_trains
+    
+    i    = 0
+    tIds = np.unique(hdf_file['INSTRUMENT/MID_DET_AGIPD1M-1/DET/%iCH0:xtdf/image/trainId'% module_number][()])
+    tIds = tIds[tIds>0]
+    det  = hdf_file['INSTRUMENT/MID_DET_AGIPD1M-1/DET/%iCH0:xtdf/image/data'      % module_number]
+    
+    if args.cal_mask:
+        cmsk = hdf_file['INSTRUMENT/MID_DET_AGIPD1M-1/DET/%iCH0:xtdf/image/mask'  % module_number]
+    
+    nTrains = len(tIds)
+    nCells  = len(det) // nTrains
+    #print(hdf_file,module_number,nTrains,nCells)
+    #return
+
+    #if nCells not in [64, 352]: return None
+    
+    a = np.zeros( (nCells, 512, 128), dtype=det.dtype ) 
+    b = np.zeros( (nCells, 512, 128), dtype=det.dtype ) 
+        
+    #print('skip after '+str(args.skip_after))
+    
+    while i < nTrains and i <=args.skip_after:
+        tid = tIds[i]
+
+        if tid in good_trains:
+            det.read_direct(a, source_sel=np.s_[i*nCells : (i+1)*nCells, :, :])
+
+            if args.photonize:
+                _a  = a / args.eng
+                _a /= args.adu_per_keV
+                _a = np.rint(_a) # `rint` does the same thing as `round`, but faster!
+                _a[_a<0] = 0
+                _a = _a[slice(*args.pulse_slice)].astype('int32').copy()
+
+            else:
+                _a = a[slice(*args.pulse_slice)] .astype('int32').copy() 
+
+            if args.cal_mask:
+                cmsk.read_direct(b, source_sel=np.s_[i*nCells : (i+1)*nCells, :, :])
+
+            _b = (b>0)[slice(*args.pulse_slice)].astype(bool).copy()
+            
+            yield tid, _a, _b
+        
+        i += 1
+        
+        
+
+def parallel_read(hdf_file, args, masks, good_trains):
+#   global args, masks
+    
+    print(hdf_file)
+    f = File(hdf_file)
+    modNo = getModNo(hdf_file)
+    fNo   = getFileNo(hdf_file)
+    
+    it = sliceTrains(f, modNo, args, good_trains)
+
+    tic = time()
+    mtype = bool if args.type == 'traditional' else np.int8
+    m = masks[modNo].astype(mtype).copy()
+    
+    do_math, keys = trainMath[args.type]
+    
+    if np.any(m):
+        try:
+            res = do_math(it, m)
+        except StopIteration:
+            res = None
+
+    else:
+        res = None
+
+    toc = time()
+
+    print(f'Done with {hdf_file:s} after {toc-tic} secs')
+
+    return (modNo, fNo), res, toc - tic
+
+
+def run_analysis(args: Namespace):
+    home_dir = '/beegfs/desy/user'
+
+    for r in args.runs:
+
+        print(args.cal_mask)
+        print(args.filter_trains)
+        
+        
+        if args.out_dir is None:
+            proc_dir = f'xpcs/p{args.proposal:4d}/r{r:04d}/'
+
+            path = '/'.join([home_dir, args.user, proc_dir])
+            print(path)
+        else:
+            path = args.out_dir
+
+        path = Path(path)
+
+        if not path.exists():
+            path.mkdir(parents=True, exist_ok=True)
+        
+        print(path)
+
+        _, keys = trainMath[args.type]
+        if args.type == 'stats':
+            masks = np.ones( (16, 1, 512, 128) ) 
+        else:
+            masks = np.load(path / 'all_masks.npy').swapaxes(0,1).copy()
+            
+
+        run = open_run(proposal=args.proposal, run=r, data='all')
+        
+        
+        if args.filter_trains:
+            good_trains_path = path / "good_trains.npy"
+            print(f"Loading good trains from {good_trains_path}")
+            good_trains = np.load(good_trains_path)
+        else:
+            good_trains = run.train_ids
+        
+        all_files =  [f.filename for f in run.files if 'AGIPD' in f.filename and 'CTRL' not in f.filename]  
+
+        log = open(path / 'log.txt', 'w')
+        log.write(f'Starting at {str(datetime.now()):s}\n')
+        log.write( 'Running on ' + os.environ['HOSTNAME'] + ' with ' + str(os.cpu_count()) + ' cores \n' ) 
+        log.write( str(len(all_files)) + ' files in total \n' ) 
+
+
+
+        walltime = time()
+        
+        print('debug is '+str(args.debug))
+
+        if args.debug:
+            for F in all_files:
+                parallel_read(F, args, masks, good_trains)
+
+        else:
+            from itertools import repeat
+            with ProcessPoolExecutor( os.cpu_count()) as exc:
+                res = exc.map(parallel_read, all_files, repeat(args), repeat(masks), repeat(good_trains), )
+
+
+        walltime = time() - walltime
+        log.write(f'WALL TIME is {walltime:6.1f} secs\n')
+        log.write(f'Finished at {str(datetime.now()):s}\n')
+        log.close()
+
+        values  = dict()
+        timings = dict()
+       
+
+        for k,v,t in res: #(modNo, fNo), res, toc - tic
+            if v is not None:
+                values[k] = v
+                timings[k] = t
+              
+
+### sum over modules
+        if args.agg:
+            print(timings)
+            all_data = dict()
+
+            for k in keys:
+                all_data[k] = dict()
+
+
+            for k in sorted(values):
+                mod, fNo = k
+                mod, fNo = f'mod{mod:02d}', f'file{fNo:02d}'
+
+                for j, v in zip(keys, values[k]):
+                    if not isinstance(v, np.ndarray):
+                        v = np.asarray(v, dtype=v[0].dtype)
+                    if not fNo in all_data[j]:
+                        all_data[j][fNo] = v
+                    elif j != 'tids':
+                        all_data[j][fNo] += v
+
+            with File(path / f'output_{runtypes[args.type]:s}_{args.type:s}.h5', 'w') as f:
+                for j in sorted(all_data):
+                    dset = all_data[j]
+                    v = np.concatenate(list(dset.values()))
+                    d = f.create_dataset(j, shape=v.shape, dtype=v.dtype)
+                    d[:] = v
+#                   d = f.create_dataset('tictoc', dtype=np.float32, shape=1)
+#                   d[:] = timings[k]
+
+### don't sum
+        else:
+            with File(path / f'output_{runtypes[args.type]:s}_{args.type:s}.h5', 'w') as f:
+                for k in sorted(values):
+                    mod, fNo = k
+                    mod, fNo = f'mod{mod:02d}', f'file{fNo:02d}'
+
+                    if mod not in f.keys():
+                        f.create_group(mod)
+
+                    m = f[mod]
+
+                    if fNo not in m.keys():
+                        m.create_group(fNo)
+
+                    for j, v in zip(keys, values[k]):
+
+                        if not isinstance(v, np.ndarray):
+                            v = np.asarray(v, dtype=v[0].dtype)
+                        d = m[fNo].create_dataset(j, shape = v.shape, dtype=v.dtype)
+                        d[:] = v
+
+                    d = m[fNo].create_dataset('tictoc', dtype=np.float32, shape=1)
+                    d[:] = timings[k]
+
+
+
+
+if __name__ == '__main__':
+    args = pars.parse_args()
+
+    run_analysis(args)
+
+
+
diff --git a/fastXPCS/setup.py b/fastXPCS/setup.py
new file mode 100644
index 0000000..293f66f
--- /dev/null
+++ b/fastXPCS/setup.py
@@ -0,0 +1,48 @@
+import os, sys
+
+from Cython.Build import build_ext, cythonize
+from setuptools import setup, Extension, find_packages
+
+def ext_modules():
+    import numpy as np
+
+    include_dirs = ['.', np.get_include()]
+    root_dir = os.path.abspath(os.path.dirname(__file__))
+    root_dir += "/fastXPCS/cython/"
+    dense_ext = Extension(
+        "dense",
+        sources=[root_dir + "dense.pyx"],
+        include_dirs=include_dirs,
+    )
+    sparse_ext = Extension(
+        "fxpcs_sparse",
+        sources=[root_dir + "fxpcs_sparse.pyx"],
+        include_dirs=include_dirs
+    )
+
+    wf_ext = Extension(
+        "welford",
+        sources=[root_dir + "welford.pyx"],
+        include_dirs=include_dirs
+    )
+
+
+    exts = [dense_ext, sparse_ext, wf_ext]
+
+    return cythonize(exts, language_level=3)
+
+REQUIREMENTS = [
+    "h5py",
+    "numpy",
+    "cython",
+]
+
+setup(
+    name="fastXPCS",
+    packages=find_packages(),
+    ext_package="fastXPCS",
+    ext_modules=ext_modules(),
+    cmdclass={"build_ext" : build_ext},
+    zip_safe=False,
+    install_requires=REQUIREMENTS
+)
-- 
GitLab