Newer
Older
Danilo Ferreira de Lima
committed
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
" // fig.ws.close()\n",
"};\n",
"\n",
"mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
" // Turn the data on the canvas into data in the output cell.\n",
" var width = this.canvas.width / this.ratio;\n",
" var dataURL = this.canvas.toDataURL();\n",
" this.cell_info[1]['text/html'] =\n",
" '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
"};\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function () {\n",
" // Tell IPython that the notebook contents must change.\n",
" IPython.notebook.set_dirty(true);\n",
" this.send_message('ack', {});\n",
" var fig = this;\n",
" // Wait a second, then push the new image to the DOM so\n",
" // that it is saved nicely (might be nice to debounce this).\n",
" setTimeout(function () {\n",
" fig.push_to_output();\n",
" }, 1000);\n",
"};\n",
"\n",
"mpl.figure.prototype._init_toolbar = function () {\n",
" var fig = this;\n",
"\n",
" var toolbar = document.createElement('div');\n",
" toolbar.classList = 'btn-toolbar';\n",
" this.root.appendChild(toolbar);\n",
"\n",
" function on_click_closure(name) {\n",
" return function (_event) {\n",
" return fig.toolbar_button_onclick(name);\n",
" };\n",
" }\n",
"\n",
" function on_mouseover_closure(tooltip) {\n",
" return function (event) {\n",
" if (!event.currentTarget.disabled) {\n",
" return fig.toolbar_button_onmouseover(tooltip);\n",
" }\n",
" };\n",
" }\n",
"\n",
" fig.buttons = {};\n",
" var buttonGroup = document.createElement('div');\n",
" buttonGroup.classList = 'btn-group';\n",
" var button;\n",
" for (var toolbar_ind in mpl.toolbar_items) {\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) {\n",
" /* Instead of a spacer, we start a new button group. */\n",
" if (buttonGroup.hasChildNodes()) {\n",
" toolbar.appendChild(buttonGroup);\n",
" }\n",
" buttonGroup = document.createElement('div');\n",
" buttonGroup.classList = 'btn-group';\n",
" continue;\n",
" }\n",
"\n",
" button = fig.buttons[name] = document.createElement('button');\n",
" button.classList = 'btn btn-default';\n",
" button.href = '#';\n",
" button.title = name;\n",
" button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
" button.addEventListener('click', on_click_closure(method_name));\n",
" button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
" buttonGroup.appendChild(button);\n",
" }\n",
"\n",
" if (buttonGroup.hasChildNodes()) {\n",
" toolbar.appendChild(buttonGroup);\n",
" }\n",
"\n",
" // Add the status bar.\n",
" var status_bar = document.createElement('span');\n",
" status_bar.classList = 'mpl-message pull-right';\n",
" toolbar.appendChild(status_bar);\n",
" this.message = status_bar;\n",
"\n",
" // Add the close button to the window.\n",
" var buttongrp = document.createElement('div');\n",
" buttongrp.classList = 'btn-group inline pull-right';\n",
" button = document.createElement('button');\n",
" button.classList = 'btn btn-mini btn-primary';\n",
" button.href = '#';\n",
" button.title = 'Stop Interaction';\n",
" button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
" button.addEventListener('click', function (_evt) {\n",
" fig.handle_close(fig, {});\n",
" });\n",
" button.addEventListener(\n",
" 'mouseover',\n",
" on_mouseover_closure('Stop Interaction')\n",
" );\n",
" buttongrp.appendChild(button);\n",
" var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
" titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
"};\n",
"\n",
"mpl.figure.prototype._remove_fig_handler = function (event) {\n",
" var fig = event.data.fig;\n",
" if (event.target !== this) {\n",
" // Ignore bubbled events from children.\n",
" return;\n",
" }\n",
" fig.close_ws(fig, {});\n",
"};\n",
"\n",
"mpl.figure.prototype._root_extra_style = function (el) {\n",
" el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
"};\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function (el) {\n",
" // this is important to make the div 'focusable\n",
" el.setAttribute('tabindex', 0);\n",
" // reach out to IPython and tell the keyboard manager to turn it's self\n",
" // off when our div gets focus\n",
"\n",
" // location in version 3\n",
" if (IPython.notebook.keyboard_manager) {\n",
" IPython.notebook.keyboard_manager.register_events(el);\n",
" } else {\n",
" // location in version 2\n",
" IPython.keyboard_manager.register_events(el);\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
" var manager = IPython.notebook.keyboard_manager;\n",
" if (!manager) {\n",
" manager = IPython.keyboard_manager;\n",
" }\n",
"\n",
" // Check for shift+enter\n",
" if (event.shiftKey && event.which === 13) {\n",
" this.canvas_div.blur();\n",
" // select the cell after this one\n",
" var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
" IPython.notebook.select(index + 1);\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
" fig.ondownload(fig, null);\n",
"};\n",
"\n",
"mpl.find_output_cell = function (html_output) {\n",
" // Return the cell and output element which can be found *uniquely* in the notebook.\n",
" // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
" // IPython event is triggered only after the cells have been serialised, which for\n",
" // our purposes (turning an active figure into a static one), is too late.\n",
" var cells = IPython.notebook.get_cells();\n",
" var ncells = cells.length;\n",
" for (var i = 0; i < ncells; i++) {\n",
" var cell = cells[i];\n",
" if (cell.cell_type === 'code') {\n",
" for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
" var data = cell.output_area.outputs[j];\n",
" if (data.data) {\n",
" // IPython >= 3 moved mimebundle to data attribute of output\n",
" data = data.data;\n",
" }\n",
" if (data['text/html'] === html_output) {\n",
" return [cell, data, j];\n",
" }\n",
" }\n",
" }\n",
" }\n",
"};\n",
"\n",
"// Register the function which deals with the matplotlib target/channel.\n",
"// The kernel may be null if the page has been refreshed.\n",
"if (IPython.notebook.kernel !== null) {\n",
" IPython.notebook.kernel.comm_manager.register_target(\n",
" 'matplotlib',\n",
" mpl.mpl_figure_comm\n",
" );\n",
"}\n"
],
Danilo Ferreira de Lima
committed
"<IPython.core.display.Javascript object>"
Danilo Ferreira de Lima
committed
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"<img src=\"data:image/png;base64,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\" width=\"800\">"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
Danilo Ferreira de Lima
committed
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 8))\n",
"data.plot.scatter(x=\"x1\", y=\"x2\", alpha=0.3, ax=ax)\n",
"ax.set(xlabel=\"$x_1$\", ylabel=r\"$x_2$\", title=\"\")\n",
"plt.show()"
]
},
"id": "bba01cd6",
"metadata": {},
"source": [
"Clearly there is a strong correlation in this data. One could almost predict $y$ using $x$ alone by fitting a line in the $xy$-plane. Therefore, it may be easier to provide a representation on which only one variable is present but retaining the maximum information possible. This is possible using several methods, which rely on several underlying assumptions. Let us start with Principal Component Analysis.\n",
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
"\n",
"In Principal Component Analysis, we set ourselves the objective of maximizing the variance of the data in our new representation. That is, imagine our new representation is given by $p_1$ and $p_2$ and we define them such that $p$ is a linear combination of $x$. The criteria used to find how to make such a linear combination shall be that the variance of $p_1$ is maximal, when we want to find out how to combine $x_1$ and $x_2$ to obtain $p_1$. This can be similarly done for $p_2$ and any other component. Instead of finding $p$ directly for each sample, we will find the direction $u_1$ on which we should project $x$ using $u_1^T x$ to obtain the new space. As we are only interested in the direction of $u_1$, we define it as normalized vector, so $u_1^T u_1 = 1$.\n",
"\n",
"The mean data value is $\\overline{x} = \\frac{1}{N} \\sum_k x^{(k)}$, where $x^{(k)}$ refers to the vector $(x_1, x_2)$ for the $k$-th sample point. The mean of the projected data in this new dimension $u_1$ is $u_1^T \\overline{x}$. The variance of the projected data in the direction $u_1$ is:\n",
"\n",
"$\\frac{1}{N}\\sum_k\\left(u_1^T x^{(k)} - u_1^T \\overline{x}\\right) = u_1^T S u_1$,\n",
"\n",
"where $S = \\frac{1}{N}\\left(x^{(k)} - \\overline{x}\\right)\\left(x^{x(k)} - \\overline{x}\\right)^T$ is the covariance matrix of the data.\n",
"\n",
"We maximize the variance of the data projected in the direction $u_1$, while imposing a restriction on the maximization procedure, such that $u_1$ is normalized to 1. This can be done by maximizing the following function:\n",
"\n",
"$u_1^T S u_1 + \\lambda_1 (1 - u_1^T u_1)$,\n",
"\n",
"where $\\lambda_1$ is a Lagrange multiplier used to enforce the condition that $u_1^T u_1$ is 1.\n",
"\n",
"Calculating the derivative relative to $u_1$ and setting it to zero to find the maximum we see that:\n",
"\n",
"$S u_1 = \\lambda_1 u_1$,\n",
"\n",
"which is an eigenvalue problem! That is, the direction $u_1$, which maximizes the variance of the projected data is the eigenvector of the covariance matrix $S$. Moreover, if we multiply this equation by $u_1^T$ on the left and use $u_1^T u_1 = 1$, we obtain $\\lambda_1 = u_1^T S u_1$. That is, $\\lambda_1$ is the variance of the data projected in the direction $u_1$.\n",
"\n",
"This gives a simple recipe to find the directions with largest variance: we find the eigenvectors of the covariance matrix $S$ which have highest eigenvalues. By sorting the eigenvalues, we can easily choose which of the directions of the new representations are more important to analyse. We can also discard directions that have low eigenvalues, as they contribute little to the variations observed in the data.\n",
"\n",
"Naturally, we do not need to write the code to perform all those steps, as scikit-learn implements them for us:"
{
"cell_type": "code",
"execution_count": 6,
"id": "0837b3ff",
"metadata": {},
"outputs": [],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "8798f857",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.fit(data.loc[:, [\"x1\", \"x2\"]])"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "cc8fc1f1",
"metadata": {},
"outputs": [],
"source": [
"data_t = pca.transform(data.loc[:, [\"x1\", \"x2\"]])"
]
},
{
"cell_type": "code",
Danilo Ferreira de Lima
committed
"execution_count": 9,
"id": "88982b21",
"metadata": {},
"outputs": [],
"source": [
"data.loc[:, \"pca1\"] = data_t[:, 0]\n",
"data.loc[:, \"pca2\"] = data_t[:, 1]"
]
},
{
"cell_type": "markdown",
"id": "3ac27316",
"metadata": {},
"source": [
"We can start by plotting how the data looks like after this transformation."
]
},
{
"cell_type": "code",
Danilo Ferreira de Lima
committed
"execution_count": 10,
"id": "333581b5",
"metadata": {},
"outputs": [
{
"data": {
Danilo Ferreira de Lima
committed
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
"application/javascript": [
"/* Put everything inside the global mpl namespace */\n",
"/* global mpl */\n",
"window.mpl = {};\n",
"\n",
"mpl.get_websocket_type = function () {\n",
" if (typeof WebSocket !== 'undefined') {\n",
" return WebSocket;\n",
" } else if (typeof MozWebSocket !== 'undefined') {\n",
" return MozWebSocket;\n",
" } else {\n",
" alert(\n",
" 'Your browser does not have WebSocket support. ' +\n",
" 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
" 'Firefox 4 and 5 are also supported but you ' +\n",
" 'have to enable WebSockets in about:config.'\n",
" );\n",
" }\n",
"};\n",
"\n",
"mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
" this.id = figure_id;\n",
"\n",
" this.ws = websocket;\n",
"\n",
" this.supports_binary = this.ws.binaryType !== undefined;\n",
"\n",
" if (!this.supports_binary) {\n",
" var warnings = document.getElementById('mpl-warnings');\n",
" if (warnings) {\n",
" warnings.style.display = 'block';\n",
" warnings.textContent =\n",
" 'This browser does not support binary websocket messages. ' +\n",
" 'Performance may be slow.';\n",
" }\n",
" }\n",
"\n",
" this.imageObj = new Image();\n",
"\n",
" this.context = undefined;\n",
" this.message = undefined;\n",
" this.canvas = undefined;\n",
" this.rubberband_canvas = undefined;\n",
" this.rubberband_context = undefined;\n",
" this.format_dropdown = undefined;\n",
"\n",
" this.image_mode = 'full';\n",
"\n",
" this.root = document.createElement('div');\n",
" this.root.setAttribute('style', 'display: inline-block');\n",
" this._root_extra_style(this.root);\n",
"\n",
" parent_element.appendChild(this.root);\n",
"\n",
" this._init_header(this);\n",
" this._init_canvas(this);\n",
" this._init_toolbar(this);\n",
"\n",
" var fig = this;\n",
"\n",
" this.waiting = false;\n",
"\n",
" this.ws.onopen = function () {\n",
" fig.send_message('supports_binary', { value: fig.supports_binary });\n",
" fig.send_message('send_image_mode', {});\n",
" if (fig.ratio !== 1) {\n",
" fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
" }\n",
" fig.send_message('refresh', {});\n",
" };\n",
"\n",
" this.imageObj.onload = function () {\n",
" if (fig.image_mode === 'full') {\n",
" // Full images could contain transparency (where diff images\n",
" // almost always do), so we need to clear the canvas so that\n",
" // there is no ghosting.\n",
" fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
" }\n",
" fig.context.drawImage(fig.imageObj, 0, 0);\n",
" };\n",
"\n",
" this.imageObj.onunload = function () {\n",
" fig.ws.close();\n",
" };\n",
"\n",
" this.ws.onmessage = this._make_on_message_function(this);\n",
"\n",
" this.ondownload = ondownload;\n",
"};\n",
"\n",
"mpl.figure.prototype._init_header = function () {\n",
" var titlebar = document.createElement('div');\n",
" titlebar.classList =\n",
" 'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
" var titletext = document.createElement('div');\n",
" titletext.classList = 'ui-dialog-title';\n",
" titletext.setAttribute(\n",
" 'style',\n",
" 'width: 100%; text-align: center; padding: 3px;'\n",
" );\n",
" titlebar.appendChild(titletext);\n",
" this.root.appendChild(titlebar);\n",
" this.header = titletext;\n",
"};\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
"\n",
"mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
"\n",
"mpl.figure.prototype._init_canvas = function () {\n",
" var fig = this;\n",
"\n",
" var canvas_div = (this.canvas_div = document.createElement('div'));\n",
" canvas_div.setAttribute(\n",
" 'style',\n",
" 'border: 1px solid #ddd;' +\n",
" 'box-sizing: content-box;' +\n",
" 'clear: both;' +\n",
" 'min-height: 1px;' +\n",
" 'min-width: 1px;' +\n",
" 'outline: 0;' +\n",
" 'overflow: hidden;' +\n",
" 'position: relative;' +\n",
" 'resize: both;'\n",
" );\n",
"\n",
" function on_keyboard_event_closure(name) {\n",
" return function (event) {\n",
" return fig.key_event(event, name);\n",
" };\n",
" }\n",
"\n",
" canvas_div.addEventListener(\n",
" 'keydown',\n",
" on_keyboard_event_closure('key_press')\n",
" );\n",
" canvas_div.addEventListener(\n",
" 'keyup',\n",
" on_keyboard_event_closure('key_release')\n",
" );\n",
"\n",
" this._canvas_extra_style(canvas_div);\n",
" this.root.appendChild(canvas_div);\n",
"\n",
" var canvas = (this.canvas = document.createElement('canvas'));\n",
" canvas.classList.add('mpl-canvas');\n",
" canvas.setAttribute('style', 'box-sizing: content-box;');\n",
"\n",
" this.context = canvas.getContext('2d');\n",
"\n",
" var backingStore =\n",
" this.context.backingStorePixelRatio ||\n",
" this.context.webkitBackingStorePixelRatio ||\n",
" this.context.mozBackingStorePixelRatio ||\n",
" this.context.msBackingStorePixelRatio ||\n",
" this.context.oBackingStorePixelRatio ||\n",
" this.context.backingStorePixelRatio ||\n",
" 1;\n",
"\n",
" this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
"\n",
" var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
" 'canvas'\n",
" ));\n",
" rubberband_canvas.setAttribute(\n",
" 'style',\n",
" 'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
" );\n",
"\n",
" // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
" if (this.ResizeObserver === undefined) {\n",
" if (window.ResizeObserver !== undefined) {\n",
" this.ResizeObserver = window.ResizeObserver;\n",
" } else {\n",
" var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
" this.ResizeObserver = obs.ResizeObserver;\n",
" }\n",
" }\n",
"\n",
" this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
" var nentries = entries.length;\n",
" for (var i = 0; i < nentries; i++) {\n",
" var entry = entries[i];\n",
" var width, height;\n",
" if (entry.contentBoxSize) {\n",
" if (entry.contentBoxSize instanceof Array) {\n",
" // Chrome 84 implements new version of spec.\n",
" width = entry.contentBoxSize[0].inlineSize;\n",
" height = entry.contentBoxSize[0].blockSize;\n",
" } else {\n",
" // Firefox implements old version of spec.\n",
" width = entry.contentBoxSize.inlineSize;\n",
" height = entry.contentBoxSize.blockSize;\n",
" }\n",
" } else {\n",
" // Chrome <84 implements even older version of spec.\n",
" width = entry.contentRect.width;\n",
" height = entry.contentRect.height;\n",
" }\n",
"\n",
" // Keep the size of the canvas and rubber band canvas in sync with\n",
" // the canvas container.\n",
" if (entry.devicePixelContentBoxSize) {\n",
" // Chrome 84 implements new version of spec.\n",
" canvas.setAttribute(\n",
" 'width',\n",
" entry.devicePixelContentBoxSize[0].inlineSize\n",
" );\n",
" canvas.setAttribute(\n",
" 'height',\n",
" entry.devicePixelContentBoxSize[0].blockSize\n",
" );\n",
" } else {\n",
" canvas.setAttribute('width', width * fig.ratio);\n",
" canvas.setAttribute('height', height * fig.ratio);\n",
" }\n",
" canvas.setAttribute(\n",
" 'style',\n",
" 'width: ' + width + 'px; height: ' + height + 'px;'\n",
" );\n",
"\n",
" rubberband_canvas.setAttribute('width', width);\n",
" rubberband_canvas.setAttribute('height', height);\n",
"\n",
" // And update the size in Python. We ignore the initial 0/0 size\n",
" // that occurs as the element is placed into the DOM, which should\n",
" // otherwise not happen due to the minimum size styling.\n",
" if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
" fig.request_resize(width, height);\n",
" }\n",
" }\n",
" });\n",
" this.resizeObserverInstance.observe(canvas_div);\n",
"\n",
" function on_mouse_event_closure(name) {\n",
" return function (event) {\n",
" return fig.mouse_event(event, name);\n",
" };\n",
" }\n",
"\n",
" rubberband_canvas.addEventListener(\n",
" 'mousedown',\n",
" on_mouse_event_closure('button_press')\n",
" );\n",
" rubberband_canvas.addEventListener(\n",
" 'mouseup',\n",
" on_mouse_event_closure('button_release')\n",
" );\n",
" // Throttle sequential mouse events to 1 every 20ms.\n",
" rubberband_canvas.addEventListener(\n",
" 'mousemove',\n",
" on_mouse_event_closure('motion_notify')\n",
" );\n",
"\n",
" rubberband_canvas.addEventListener(\n",
" 'mouseenter',\n",
" on_mouse_event_closure('figure_enter')\n",
" );\n",
" rubberband_canvas.addEventListener(\n",
" 'mouseleave',\n",
" on_mouse_event_closure('figure_leave')\n",
" );\n",
"\n",
" canvas_div.addEventListener('wheel', function (event) {\n",
" if (event.deltaY < 0) {\n",
" event.step = 1;\n",
" } else {\n",
" event.step = -1;\n",
" }\n",
" on_mouse_event_closure('scroll')(event);\n",
" });\n",
"\n",
" canvas_div.appendChild(canvas);\n",
" canvas_div.appendChild(rubberband_canvas);\n",
"\n",
" this.rubberband_context = rubberband_canvas.getContext('2d');\n",
" this.rubberband_context.strokeStyle = '#000000';\n",
"\n",
" this._resize_canvas = function (width, height, forward) {\n",
" if (forward) {\n",
" canvas_div.style.width = width + 'px';\n",
" canvas_div.style.height = height + 'px';\n",
" }\n",
" };\n",
"\n",
" // Disable right mouse context menu.\n",
" this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
" event.preventDefault();\n",
" return false;\n",
" });\n",
"\n",
" function set_focus() {\n",
" canvas.focus();\n",
" canvas_div.focus();\n",
" }\n",
"\n",
" window.setTimeout(set_focus, 100);\n",
"};\n",
"\n",
"mpl.figure.prototype._init_toolbar = function () {\n",
" var fig = this;\n",
"\n",
" var toolbar = document.createElement('div');\n",
" toolbar.classList = 'mpl-toolbar';\n",
" this.root.appendChild(toolbar);\n",
"\n",
" function on_click_closure(name) {\n",
" return function (_event) {\n",
" return fig.toolbar_button_onclick(name);\n",
" };\n",
" }\n",
"\n",
" function on_mouseover_closure(tooltip) {\n",
" return function (event) {\n",
" if (!event.currentTarget.disabled) {\n",
" return fig.toolbar_button_onmouseover(tooltip);\n",
" }\n",
" };\n",
" }\n",
"\n",
" fig.buttons = {};\n",
" var buttonGroup = document.createElement('div');\n",
" buttonGroup.classList = 'mpl-button-group';\n",
" for (var toolbar_ind in mpl.toolbar_items) {\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) {\n",
" /* Instead of a spacer, we start a new button group. */\n",
" if (buttonGroup.hasChildNodes()) {\n",
" toolbar.appendChild(buttonGroup);\n",
" }\n",
" buttonGroup = document.createElement('div');\n",
" buttonGroup.classList = 'mpl-button-group';\n",
" continue;\n",
" }\n",
"\n",
" var button = (fig.buttons[name] = document.createElement('button'));\n",
" button.classList = 'mpl-widget';\n",
" button.setAttribute('role', 'button');\n",
" button.setAttribute('aria-disabled', 'false');\n",
" button.addEventListener('click', on_click_closure(method_name));\n",
" button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
"\n",
" var icon_img = document.createElement('img');\n",
" icon_img.src = '_images/' + image + '.png';\n",
" icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
" icon_img.alt = tooltip;\n",
" button.appendChild(icon_img);\n",
"\n",
" buttonGroup.appendChild(button);\n",
" }\n",
"\n",
" if (buttonGroup.hasChildNodes()) {\n",
" toolbar.appendChild(buttonGroup);\n",
" }\n",
"\n",
" var fmt_picker = document.createElement('select');\n",
" fmt_picker.classList = 'mpl-widget';\n",
" toolbar.appendChild(fmt_picker);\n",
" this.format_dropdown = fmt_picker;\n",
"\n",
" for (var ind in mpl.extensions) {\n",
" var fmt = mpl.extensions[ind];\n",
" var option = document.createElement('option');\n",
" option.selected = fmt === mpl.default_extension;\n",
" option.innerHTML = fmt;\n",
" fmt_picker.appendChild(option);\n",
" }\n",
"\n",
" var status_bar = document.createElement('span');\n",
" status_bar.classList = 'mpl-message';\n",
" toolbar.appendChild(status_bar);\n",
" this.message = status_bar;\n",
"};\n",
"\n",
"mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
" // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
" // which will in turn request a refresh of the image.\n",
" this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
"};\n",
"\n",
"mpl.figure.prototype.send_message = function (type, properties) {\n",
" properties['type'] = type;\n",
" properties['figure_id'] = this.id;\n",
" this.ws.send(JSON.stringify(properties));\n",
"};\n",
"\n",
"mpl.figure.prototype.send_draw_message = function () {\n",
" if (!this.waiting) {\n",
" this.waiting = true;\n",
" this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
" var format_dropdown = fig.format_dropdown;\n",
" var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
" fig.ondownload(fig, format);\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
" var size = msg['size'];\n",
" if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
" fig._resize_canvas(size[0], size[1], msg['forward']);\n",
" fig.send_message('refresh', {});\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
" var x0 = msg['x0'] / fig.ratio;\n",
" var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
" var x1 = msg['x1'] / fig.ratio;\n",
" var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
" x0 = Math.floor(x0) + 0.5;\n",
" y0 = Math.floor(y0) + 0.5;\n",
" x1 = Math.floor(x1) + 0.5;\n",
" y1 = Math.floor(y1) + 0.5;\n",
" var min_x = Math.min(x0, x1);\n",
" var min_y = Math.min(y0, y1);\n",
" var width = Math.abs(x1 - x0);\n",
" var height = Math.abs(y1 - y0);\n",
"\n",
" fig.rubberband_context.clearRect(\n",
" 0,\n",
" 0,\n",
" fig.canvas.width / fig.ratio,\n",
" fig.canvas.height / fig.ratio\n",
" );\n",
"\n",
" fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
" // Updates the figure title.\n",
" fig.header.textContent = msg['label'];\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
" var cursor = msg['cursor'];\n",
" switch (cursor) {\n",
" case 0:\n",
" cursor = 'pointer';\n",
" break;\n",
" case 1:\n",
" cursor = 'default';\n",
" break;\n",
" case 2:\n",
" cursor = 'crosshair';\n",
" break;\n",
" case 3:\n",
" cursor = 'move';\n",
" break;\n",
" }\n",
" fig.rubberband_canvas.style.cursor = cursor;\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_message = function (fig, msg) {\n",
" fig.message.textContent = msg['message'];\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
" // Request the server to send over a new figure.\n",
" fig.send_draw_message();\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
" fig.image_mode = msg['mode'];\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
" for (var key in msg) {\n",
" if (!(key in fig.buttons)) {\n",
" continue;\n",
" }\n",
" fig.buttons[key].disabled = !msg[key];\n",
" fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
" if (msg['mode'] === 'PAN') {\n",
" fig.buttons['Pan'].classList.add('active');\n",
" fig.buttons['Zoom'].classList.remove('active');\n",
" } else if (msg['mode'] === 'ZOOM') {\n",
" fig.buttons['Pan'].classList.remove('active');\n",
" fig.buttons['Zoom'].classList.add('active');\n",
" } else {\n",
" fig.buttons['Pan'].classList.remove('active');\n",
" fig.buttons['Zoom'].classList.remove('active');\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function () {\n",
" // Called whenever the canvas gets updated.\n",
" this.send_message('ack', {});\n",
"};\n",
"\n",
"// A function to construct a web socket function for onmessage handling.\n",
"// Called in the figure constructor.\n",
"mpl.figure.prototype._make_on_message_function = function (fig) {\n",
" return function socket_on_message(evt) {\n",
" if (evt.data instanceof Blob) {\n",
" /* FIXME: We get \"Resource interpreted as Image but\n",
" * transferred with MIME type text/plain:\" errors on\n",
" * Chrome. But how to set the MIME type? It doesn't seem\n",
" * to be part of the websocket stream */\n",
" evt.data.type = 'image/png';\n",
"\n",
" /* Free the memory for the previous frames */\n",
" if (fig.imageObj.src) {\n",
" (window.URL || window.webkitURL).revokeObjectURL(\n",
" fig.imageObj.src\n",
" );\n",
" }\n",
"\n",
" fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
" evt.data\n",
" );\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" } else if (\n",
" typeof evt.data === 'string' &&\n",
" evt.data.slice(0, 21) === 'data:image/png;base64'\n",
" ) {\n",
" fig.imageObj.src = evt.data;\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
"\n",
" var msg = JSON.parse(evt.data);\n",
" var msg_type = msg['type'];\n",
"\n",
" // Call the \"handle_{type}\" callback, which takes\n",
" // the figure and JSON message as its only arguments.\n",
" try {\n",
" var callback = fig['handle_' + msg_type];\n",
" } catch (e) {\n",
" console.log(\n",
" \"No handler for the '\" + msg_type + \"' message type: \",\n",
" msg\n",
" );\n",
" return;\n",
" }\n",
"\n",
" if (callback) {\n",
" try {\n",
" // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
" callback(fig, msg);\n",
" } catch (e) {\n",
" console.log(\n",
" \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
" e,\n",
" e.stack,\n",
" msg\n",
" );\n",
" }\n",
" }\n",
" };\n",
"};\n",
"\n",
"// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
"mpl.findpos = function (e) {\n",
" //this section is from http://www.quirksmode.org/js/events_properties.html\n",
" var targ;\n",
" if (!e) {\n",
" e = window.event;\n",
" }\n",
" if (e.target) {\n",
" targ = e.target;\n",
" } else if (e.srcElement) {\n",
" targ = e.srcElement;\n",
" }\n",
" if (targ.nodeType === 3) {\n",
" // defeat Safari bug\n",
" targ = targ.parentNode;\n",
" }\n",
"\n",
" // pageX,Y are the mouse positions relative to the document\n",
" var boundingRect = targ.getBoundingClientRect();\n",
" var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
" var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
"\n",
" return { x: x, y: y };\n",
"};\n",
"\n",
"/*\n",
" * return a copy of an object with only non-object keys\n",
" * we need this to avoid circular references\n",
" * http://stackoverflow.com/a/24161582/3208463\n",
" */\n",
"function simpleKeys(original) {\n",
" return Object.keys(original).reduce(function (obj, key) {\n",
" if (typeof original[key] !== 'object') {\n",
" obj[key] = original[key];\n",
" }\n",
" return obj;\n",
" }, {});\n",
"}\n",
"\n",
"mpl.figure.prototype.mouse_event = function (event, name) {\n",
" var canvas_pos = mpl.findpos(event);\n",
"\n",
" if (name === 'button_press') {\n",
" this.canvas.focus();\n",
" this.canvas_div.focus();\n",
" }\n",
"\n",
" var x = canvas_pos.x * this.ratio;\n",
" var y = canvas_pos.y * this.ratio;\n",
"\n",
" this.send_message(name, {\n",
" x: x,\n",
" y: y,\n",
" button: event.button,\n",
" step: event.step,\n",
" guiEvent: simpleKeys(event),\n",
" });\n",
"\n",
" /* This prevents the web browser from automatically changing to\n",
" * the text insertion cursor when the button is pressed. We want\n",
" * to control all of the cursor setting manually through the\n",
" * 'cursor' event from matplotlib */\n",
" event.preventDefault();\n",
" return false;\n",
"};\n",
"\n",
"mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
" // Handle any extra behaviour associated with a key event\n",
"};\n",
"\n",
"mpl.figure.prototype.key_event = function (event, name) {\n",
" // Prevent repeat events\n",
" if (name === 'key_press') {\n",
" if (event.which === this._key) {\n",
" return;\n",
" } else {\n",
" this._key = event.which;\n",
" }\n",
" }\n",
" if (name === 'key_release') {\n",
" this._key = null;\n",
" }\n",
"\n",
" var value = '';\n",
" if (event.ctrlKey && event.which !== 17) {\n",
" value += 'ctrl+';\n",
" }\n",
" if (event.altKey && event.which !== 18) {\n",
" value += 'alt+';\n",
" }\n",
" if (event.shiftKey && event.which !== 16) {\n",
" value += 'shift+';\n",
" }\n",
"\n",
" value += 'k';\n",
" value += event.which.toString();\n",
"\n",
" this._key_event_extra(event, name);\n",
"\n",
" this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
" return false;\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
" if (name === 'download') {\n",
" this.handle_save(this, null);\n",
" } else {\n",
" this.send_message('toolbar_button', { name: name });\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
" this.message.textContent = tooltip;\n",
"};\n",
"\n",
"///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
"// prettier-ignore\n",
"var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
"mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
"\n",
"mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
"\n",
"mpl.default_extension = \"png\";/* global mpl */\n",
"\n",