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Plots.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plots.jl\n",
"\n",
"公式ドキュメントのサンプルはどれも難しすぎるように思う. そこで, できるだけ簡単な例を通してPlots.jlに親しむためのノートを作成した.\n",
"\n",
"© 2021 Shuhei Ohno\n",
"<br>Source: https://gist.github.com/ohno\n",
"<br>License: https://opensource.org/licenses/MIT"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## インストール\n",
"\n",
"Juliaの[パッケージモード](https://qiita.com/skiing_LAL10/items/0c0132a34629fbc8a91f)で`add Plots`を実行し, 事前にPlots.jlをインストールしておく必要がある. また, ノート上では`using Plots`を宣言する."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# using Pkg\n",
"# Pkg.add(\"Plots\")\n",
"using Plots"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ミニマル\n",
"\n",
"`plot()`に関数名を渡すことで描写できる. 特に指定しなければ(かなり滑らかな)折れ線グラフになる."
]
},
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"plot(sin)"
]
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{
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"自作関数を渡すこともできる. 関数の宣言方法は[こちら](https://qiita.com/phigasui/items/0f1becf4555d7f1fe728)を参考にするとよい."
]
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]
},
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},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"Y = [0, 1, 0, 2, 0, 4, 0, 8, 0, 4, 4]\n",
"\n",
"plot(X, Y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 追加オプション\n",
"\n",
"タイトルや軸ラベル, マーカーや線の色などを変更したい場合は以下のオプションを書き加えればよい.\n",
"\n",
"### 文字列\n",
"\n",
"|説明|省略形|オプション|引数例|\n",
"|:-|:-|:-|:-|\n",
"|タイトル||title|\"\", \"hello\"|\n",
"|凡例||label|\"\", \"hello\"|\n",
"|x軸ラベル||xlabel|\"\", \"hello\"|\n",
"|y軸ラベル||ylabel|\"\", \"hello\"|\n",
"|タイトルのフォントサイズ||titlefontsize|12, 18|\n",
"|凡例のフォントサイズ||legendfontsize|12, 18|\n",
"|軸の数字のフォントサイズ||tickfontsize|12, 18|\n",
"|軸ラベルのフォントサイズ||guidefont|12, 18|\n",
"|x軸ラベルのフォントサイズ||xguidefont|12, 18|\n",
"|y軸ラベルのフォントサイズ||yguidefont|12, 18|\n",
"\n",
"### 軸\n",
"\n",
"|説明|省略形|オプション|引数例|\n",
"|:-|:-|:-|:-|\n",
"|枠線と軸||framestyle|:box, :semi, :origin, :zerolines, :grid :none|\n",
"|x軸の表示||xshowaxis|true, false|\n",
"|y軸の表示||yshowaxis|true, false|\n",
"|x軸の描写範囲||xlims|(-1,1), (0,2π)|\n",
"|y軸の描写範囲||ylims|(-1,1), (0,2π)|\n",
"|x軸のスケール||xscale|:log10, :ln, :log2|\n",
"|y軸のスケール||yscale|:log10, :ln, :log2|\n",
"|x軸の目盛り位置||xticks|0:0.1:2, [1,3,4]|\n",
"|y軸の目盛り位置||yticks|0:0.1:2, [1,3,4]|\n",
"|x軸のグリッド線||xgrid|true, false|\n",
"|y軸のグリッド線||ygrid|true, false|\n",
"|x軸のマイナーグリッド線||xminorgrid|true, false|\n",
"|y軸のマイナーグリッド線||yminorgrid|true, false|\n",
"\n",
"\n",
"### デザイン\n",
"\n",
"|説明|省略形|オプション|引数例|\n",
"|:-|:-|:-|:-|\n",
"|グラフの種類|st|seriestype|:line, :scatter, :steppre, [etc.](https://docs.juliaplots.org/latest/generated/supported/#supported)|\n",
"|線の種類(実線, 破線等)|ls|linestyle|:solid, :dash, :dot, [etc.](https://docs.juliaplots.org/latest/generated/supported/#Line-Styles)|\n",
"|線の透明度|la|linealpha|0.0, 0.2, 0.5, 1.0|\n",
"|線の太さ|lw|linewidth|1, 2, 4|\n",
"|線の色|lc|linecolor|:red, :green, :blue, \"#FF0000\"|\n",
"|塗潰しの透明度|fa|fillalpha|0.0, 0.2, 0.5, 1.0|\n",
"|塗潰しの色|fc|fillcolor|:red, :green, :blue, \"#FF0000\"|\n",
"|マーカーの形||markershape|:circle, :square, :hexagon, [etc.](https://docs.juliaplots.org/latest/generated/supported/#Markers)|\n",
"|マーカーの大きさ|ms|markersize|20|\n",
"|マーカーの透明度||markeralpha|0.0, 0.2, 0.5, 1.0||\n",
"|マーカーの色|mc|markercolor|:red, :green, :blue, \"#FF0000\"|\n",
"|マーカーの囲み線の太さ|msw|markerstrokewidth|1, 2, 4|\n",
"|マーカーの囲み線の透明度||markerstrokealpha|0.0, 0.2, 0.5, 1.0|\n",
"|マーカーの囲み線の色|msc|markerstrokecolor|:red, :green, :blue, \"#FF0000\"|\n",
"|マーカーの囲み線の種類(実線, 破線等)||markerstrokestyle|:solid, :dot|\n",
"|凡例の位置||legend|:bottomleft, :topright, [ect.](https://qiita.com/skiing_LAL10/items/ea028b82fd22fd114667)|\n",
"|凡例の背景の色||background_color_legend|:red, \"#FF0000\", nothing|\n",
"|凡例の枠線の色||foreground_color_legend|:red, \"#FF0000\", nothing|"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"基本的な文字列の指定と, 配色の指定について例を示す."
]
},
{
"cell_type": "code",
"execution_count": 189,
"metadata": {},
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"## 定義域と描写範囲\n",
"\n",
"関数を描写する場合の定義域とサンプル間隔は`-1:0.01:1`のように指定する. 描写範囲については`xlims=(min,max)`と`ylims=(min,max)`をそれぞれ指定する. 片方だけ指定してもよい."
]
},
{
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" 1250.11,1103.25 1251.84,1093.7 1253.56,1084.13 1255.29,1074.55 1257.02,1064.97 1258.74,1055.39 1260.47,1045.79 1262.2,1036.2 1263.93,1026.6 1265.65,1017 \n",
" 1267.38,1007.4 1269.11,997.796 1270.84,988.196 1272.56,978.598 1274.29,969.002 1276.02,959.41 1277.75,949.823 1279.47,940.242 1281.2,930.667 1282.93,921.101 \n",
" 1284.66,911.542 1286.38,901.994 1288.11,892.456 1289.84,882.929 1291.57,873.415 1293.29,863.914 1295.02,854.428 1296.75,844.957 1298.48,835.502 1300.2,826.064 \n",
" 1301.93,816.645 1303.66,807.244 1305.39,797.864 1307.11,788.504 1308.84,779.167 1310.57,769.852 1312.3,760.561 1314.02,751.295 1315.75,742.054 1317.48,732.84 \n",
" 1319.2,723.653 1320.93,714.495 1322.66,705.366 1324.39,696.267 1326.11,687.199 1327.84,678.163 1329.57,669.16 1331.3,660.191 1333.02,651.257 1334.75,642.359 \n",
" 1336.48,633.496 1338.21,624.672 1339.93,615.885 1341.66,607.138 1343.39,598.43 1345.12,589.764 1346.84,581.139 1348.57,572.557 1350.3,564.019 1352.03,555.525 \n",
" 1353.75,547.076 1355.48,538.673 1357.21,530.317 1358.94,522.008 1360.66,513.748 1362.39,505.538 1364.12,497.377 1365.85,489.268 1367.57,481.211 1369.3,473.206 \n",
" 1371.03,465.254 1372.75,457.357 1374.48,449.515 1376.21,441.728 1377.94,433.998 1379.66,426.326 1381.39,418.711 1383.12,411.156 1384.85,403.66 1386.57,396.224 \n",
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" 1405.58,318.626 1407.3,311.971 1409.03,305.385 1410.76,298.87 1412.49,292.426 1414.21,286.053 1415.94,279.752 1417.67,273.525 1419.4,267.37 1421.12,261.289 \n",
" 1422.85,255.284 1424.58,249.353 1426.31,243.498 1428.03,237.719 1429.76,232.018 1431.49,226.394 1433.21,220.848 1434.94,215.381 1436.67,209.993 1438.4,204.684 \n",
" 1440.12,199.456 1441.85,194.309 1443.58,189.243 1445.31,184.259 1447.03,179.357 1448.76,174.538 1450.49,169.802 1452.22,165.15 1453.94,160.583 1455.67,156.1 \n",
" 1457.4,151.702 1459.13,147.389 1460.85,143.163 1462.58,139.023 1464.31,134.97 1466.04,131.004 1467.76,127.126 1469.49,123.336 1471.22,119.634 1472.95,116.021 \n",
" 1474.67,112.497 1476.4,109.063 1478.13,105.718 1479.86,102.464 1481.58,99.2998 1483.31,96.2267 1485.04,93.2447 1486.77,90.3542 1488.49,87.5553 1490.22,84.8485 \n",
" 1491.95,82.2338 1493.67,79.7117 1495.4,77.2824 1497.13,74.9461 1498.86,72.703 1500.58,70.5534 1502.31,68.4975 1504.04,66.5354 1505.77,64.6675 1507.49,62.8938 \n",
" 1509.22,61.2146 1510.95,59.63 1512.68,58.1401 1514.4,56.7452 1516.13,55.4454 1517.86,54.2407 1519.59,53.1314 1521.31,52.1175 1523.04,51.1991 1524.77,50.3764 \n",
" 1526.5,49.6493 1528.22,49.018 1529.95,48.4826 1531.68,48.043 1533.41,47.6994 1535.13,47.4517 1536.86,47.3001 1538.59,47.2444 1540.32,47.2848 1542.04,47.4211 \n",
" 1543.77,47.6535 1545.5,47.9818 1547.23,48.4061 1548.95,48.9263 1550.68,49.5423 1552.41,50.2541 1554.13,51.0617 1555.86,51.9648 1557.59,52.9635 1559.32,54.0577 \n",
" 1561.04,55.2472 1562.77,56.5318 1564.5,57.9116 1566.23,59.3864 1567.95,60.9559 1569.68,62.62 1571.41,64.3787 1573.14,66.2316 1574.86,68.1787 1576.59,70.2197 \n",
" 1578.32,72.3544 1580.05,74.5826 1581.77,76.9041 1583.5,79.3186 1585.23,81.826 1586.96,84.4259 1588.68,87.118 1590.41,89.9023 1592.14,92.7782 1593.87,95.7457 \n",
" 1595.59,98.8043 1597.32,101.954 1599.05,105.194 1600.78,108.524 1602.5,111.944 1604.23,115.454 1605.96,119.053 1607.68,122.74 1609.41,126.516 1611.14,130.381 \n",
" 1612.87,134.333 1614.59,138.372 1616.32,142.498 1618.05,146.711 1619.78,151.009 1621.5,155.394 1623.23,159.863 1624.96,164.417 1626.69,169.056 1628.41,173.778 \n",
" 1630.14,178.584 1631.87,183.473 1633.6,188.444 1635.32,193.497 1637.05,198.631 1638.78,203.846 1640.51,209.142 1642.23,214.517 1643.96,219.972 1645.69,225.505 \n",
" 1647.42,231.117 1649.14,236.806 1650.87,242.573 1652.6,248.415 1654.33,254.334 1656.05,260.328 1657.78,266.397 1659.51,272.539 1661.24,278.756 1662.96,285.045 \n",
" 1664.69,291.406 1666.42,297.839 1668.14,304.343 1669.87,310.917 1671.6,317.561 1673.33,324.274 1675.05,331.055 1676.78,337.904 1678.51,344.82 1680.24,351.802 \n",
" 1681.96,358.849 1683.69,365.962 1685.42,373.138 1687.15,380.378 1688.87,387.681 1690.6,395.046 1692.33,402.472 1694.06,409.958 1695.78,417.504 1697.51,425.109 \n",
" 1699.24,432.773 1700.97,440.493 1702.69,448.271 1704.42,456.104 1706.15,463.993 1707.88,471.936 1709.6,479.932 1711.33,487.981 1713.06,496.082 1714.79,504.235 \n",
" 1716.51,512.437 1718.24,520.689 1719.97,528.99 1721.7,537.339 1723.42,545.734 1725.15,554.176 1726.88,562.663 1728.6,571.195 1730.33,579.77 1732.06,588.388 \n",
" 1733.79,597.047 1735.51,605.748 1737.24,614.489 1738.97,623.27 1740.7,632.088 1742.42,640.945 1744.15,649.838 1745.88,658.766 1747.61,667.73 1749.33,676.727 \n",
" 1751.06,685.758 1752.79,694.82 1754.52,703.914 1756.24,713.039 1757.97,722.192 1759.7,731.375 1761.43,740.585 1763.15,749.821 1764.88,759.084 1766.61,768.371 \n",
" 1768.34,777.682 1770.06,787.016 1771.79,796.372 1773.52,805.749 1775.25,815.146 1776.97,824.563 1778.7,833.998 1780.43,843.45 1782.16,852.918 1783.88,862.402 \n",
" 1785.61,871.901 1787.34,881.413 1789.06,890.938 1790.79,900.474 1792.52,910.021 1794.25,919.578 1795.97,929.143 1797.7,938.717 1799.43,948.297 1801.16,957.883 \n",
" 1802.88,967.474 1804.61,977.069 1806.34,986.667 1808.07,996.267 1809.79,1005.87 1811.52,1015.47 1813.25,1025.07 1814.98,1034.67 1816.7,1044.27 1818.43,1053.86 \n",
" 1820.16,1063.45 1821.89,1073.03 1823.61,1082.6 1825.34,1092.17 1827.07,1101.73 1828.8,1111.28 1830.52,1120.82 1832.25,1130.35 1833.98,1139.87 1835.71,1149.37 \n",
" 1837.43,1158.86 1839.16,1168.33 1840.89,1177.79 1842.61,1187.23 1844.34,1196.65 1846.07,1206.06 1847.8,1215.44 1849.52,1224.8 1851.25,1234.14 1852.98,1243.46 \n",
" 1854.71,1252.76 1856.43,1262.03 1858.16,1271.27 1859.89,1280.49 1861.62,1289.68 1863.34,1298.84 1865.07,1307.98 1866.8,1317.08 1868.53,1326.15 1870.25,1335.2 \n",
" 1871.98,1344.2 1873.71,1353.18 1875.44,1362.12 1877.16,1371.02 1878.89,1379.89 1880.62,1388.72 1882.35,1397.51 1884.07,1406.27 1885.8,1414.98 1887.53,1423.65 \n",
" 1889.26,1432.29 1890.98,1440.87 1892.71,1449.42 1894.44,1457.92 1896.17,1466.38 1897.89,1474.79 1899.62,1483.15 1901.35,1491.47 1903.07,1499.74 1904.8,1507.95 \n",
" 1906.53,1516.12 1908.26,1524.24 1909.98,1532.31 1911.71,1540.32 1913.44,1548.28 1915.17,1556.18 1916.89,1564.04 1918.62,1571.83 1920.35,1579.57 1922.08,1587.25 \n",
" 1923.8,1594.88 1925.53,1602.44 1927.26,1609.95 1928.99,1617.39 1930.71,1624.78 1932.44,1632.1 1934.17,1639.36 1935.9,1646.55 1937.62,1653.69 1939.35,1660.76 \n",
" 1941.08,1667.76 1942.81,1674.7 1944.53,1681.57 1946.26,1688.37 1947.99,1695.1 1949.72,1701.77 1951.44,1708.37 1953.17,1714.89 1954.9,1721.35 1956.63,1727.73 \n",
" 1958.35,1734.04 1960.08,1740.28 1961.81,1746.45 1963.53,1752.54 1965.26,1758.56 1966.99,1764.5 1968.72,1770.37 1970.44,1776.16 1972.17,1781.87 1973.9,1787.51 \n",
" 1975.63,1793.07 1977.35,1798.55 1979.08,1803.95 1980.81,1809.27 1982.54,1814.51 1984.26,1819.67 1985.99,1824.75 1987.72,1829.75 1989.45,1834.66 1991.17,1839.5 \n",
" 1992.9,1844.24 1994.63,1848.91 1996.36,1853.49 1998.08,1857.99 1999.81,1862.4 2001.54,1866.73 2003.27,1870.97 2004.99,1875.12 2006.72,1879.19 2008.45,1883.17 \n",
" 2010.18,1887.06 2011.9,1890.86 2013.63,1894.58 2015.36,1898.21 2017.08,1901.74 2018.81,1905.19 2020.54,1908.55 2022.27,1911.82 2023.99,1915 2025.72,1918.09 \n",
" 2027.45,1921.08 2029.18,1923.99 2030.9,1926.8 2032.63,1929.52 2034.36,1932.15 2036.09,1934.69 2037.81,1937.13 2039.54,1939.48 2041.27,1941.74 2043,1943.91 \n",
" 2044.72,1945.98 2046.45,1947.95 2048.18,1949.84 2049.91,1951.63 2051.63,1953.32 2053.36,1954.92 2055.09,1956.42 2056.82,1957.83 2058.54,1959.15 2060.27,1960.37 \n",
" 2062,1961.49 2063.73,1962.52 2065.45,1963.46 2067.18,1964.29 2068.91,1965.04 2070.64,1965.68 2072.36,1966.23 2074.09,1966.69 2075.82,1967.05 2077.54,1967.31 \n",
" 2079.27,1967.48 2081,1967.55 2082.73,1967.52 2084.45,1967.4 2086.18,1967.19 2087.91,1966.87 2089.64,1966.46 2091.36,1965.96 2093.09,1965.36 2094.82,1964.66 \n",
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" 2113.82,1950.7 2115.55,1948.87 2117.28,1946.93 2119,1944.91 2120.73,1942.79 2122.46,1940.57 2124.19,1938.27 2125.91,1935.87 2127.64,1933.38 2129.37,1930.79 \n",
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"source": [
"plot(-5:0.01:5, sin, xlims=(-2*pi,2*pi), ylims=(-0.5,1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 散布図\n",
"\n",
"散布図は`plot()`に`st=:scatter`というオプションを追加するか, `scatter()`を用いる. 基本的な使い方は`plot()`と同じである."
]
},
{
"cell_type": "code",
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"metadata": {},
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{
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"source": [
"## ヒストグラム\n",
"\n",
"配列を渡すことで要素についてのヒストグラムを描くことができる. 下記では`normed=true`のオプションによって正規化された(総面積が1の)ヒストグラムを描いている."
]
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"metadata": {},
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}
],
"source": [
"X = [1, 2, 3, 3, 4, 5, 5]\n",
"\n",
"histogram(X, bins=range(0, 6, step=0.2), normed=true)"
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},
{
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"metadata": {},
"source": [
"一様分布の例："
]
},
{
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"metadata": {
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"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X = rand(10000)\n",
"\n",
"histogram(X, bins=range(0, 1, step=0.02), normed=true)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"正規分布の例："
]
},
{
"cell_type": "code",
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"metadata": {},
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"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X = randn(10000)\n",
"\n",
"histogram(X, bins=range(-5, 5, step=0.2), normed=true)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"2つの配列を渡して, 2次元ヒストグラムを描写することもできる. `c=:heat`のように配色を指定できる. 配色については[こちら](https://docs.juliaplots.org/latest/generated/colorschemes/#misc)を参照されたい."
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {},
"outputs": [
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},
"execution_count": 70,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X = randn(1000)\n",
"Y = randn(1000)\n",
"\n",
"histogram2d(X, Y, nbins=20, c=:heat)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ヒートマップ\n",
"\n",
"x軸とy軸それぞれの定義域と, 2変数関数`f`を渡せばよい. `c=:thermal`のように配色を指定できる. 配色については[こちら](https://docs.juliaplots.org/latest/generated/colorschemes/#misc)を参照されたい."
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
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},
"execution_count": 56,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"f(x,y) = x^2 + y^2\n",
"\n",
"heatmap(-3:0.01:3, -2:0.01:2, f, c=:thermal)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"2次元配列を渡すこともでてきる."
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {},
"outputs": [
{
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},
"execution_count": 73,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Z = randn(20,20)\n",
"\n",
"heatmap(Z)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"X軸とY軸に相当する1次元配列を渡すこともできる."
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [
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},
"execution_count": 74,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X = [0.1*i for i in 0:20]\n",
"Y = [0.1*i for i in 0:20]\n",
"Z = randn(21,21)\n",
"\n",
"heatmap(X, Y, Z)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3Dグラフ\n",
"\n",
"基本的な使い方は上記の`heatmap`を`surface`に置き換えるだけである."
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [
{
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