{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\tHiroshi TAKEMOTO\n", "\t(take.pwave@gmail.com)\n", "\t

グラフの使い方

\n", "\t

\n", "\t\tSageでのグラフの使い方について、説明します。\n", "\t\tレファレンスマニュアル\n", "\t\tを参考にしながら見てください。\n", "\t

\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "

準備

\n", "

\n", "テーブル用のCSSの読み込み、jupyter用のdisplayメソッド、sage_utilを読み込みます。\n", "

\n", "" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%HTML\n", "" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# jupyter用のdisplayメソッド\n", "from IPython.display import display, Latex, HTML, Math, JSON\n", "# ユーティリティ\n", "load('script/sage_util.py')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

3次元多項式をもう一度

\n", "\tSageを使ってみよう\n", "\tでプロットした3次元多項式について、plot関数の使い方も含めて詳しくみてみましょう。\n", "\n", "\t

\n", "\t\tplotの呼び出しは、以下の形式で覚えると便利です。\n", "

\n",
    "plot(関数, [変数名, 最小, 最大], オプション)\n",
    "
\n", "\t\tオプションは、省略可能です。plotのオプションは、plot.optionsで知ることができます。\n", "\t\tそれ以外にもGraphicsのオプションも使えます。よく使うオプションを以下にしめします。\n", "\t\n", "\t\t\t\t\n", "\t

\n", "\n", "\t

\n", "\t\t3次元多項式の場合には、最初にプロットで使用する変数xをvar関数で定義します。\n", "\t\t次に関数fを定義します。今回はplotの結果をf_pltに代入していますので、最後に\n", "\t\tshow関数でf_pltを表示します。\n", "\t

\n", "\t

\n", "\t\tf_plt変数に代入することによって、後で他のグラフと重ね合わせて表示することが\n", "\t\tできます。\n", "\t

\n", "" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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yYeTnSy++KN1yi1SnjutqAACJgEA+jPfek9atkx54wHUlAIBEQevMn/A8qWVL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\nnP59QkcAAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = var('x')\n", "f = x^3 - x^2 - 2*x\n", "f_plt = plot(f, [x, -2.5, 2.5])\n", "show(f_plt, figsize=5) " ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "\n", "\t

\n", "\t\tplot.optionsを知るには、plot?でヘルプを表示したり、plot_optionsを表示するとよいでしょう。\n", "\t

\n", "" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'adaptive_recursion': 5,\n", " 'adaptive_tolerance': 0.01,\n", " 'alpha': 1,\n", " 'aspect_ratio': 'automatic',\n", " 'detect_poles': False,\n", " 'exclude': None,\n", " 'fill': False,\n", " 'fillalpha': 0.5,\n", " 'fillcolor': 'automatic',\n", " 'legend_label': None,\n", " 'plot_points': 200,\n", " 'rgbcolor': (0, 0, 1),\n", " 'thickness': 1}" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# plotのオプションを知る\n", "plot.options " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

接線を求める

\n", "\t

\n", "\t\t点$(x_0, y_0)$での接線の傾きは、関数fの微分の$x_0$での値から得ることができますので、\n", "\t\t接線の式は、以下のように求めることができます。\n", "$$\n", "\t\t(y - y_0) = f'(x_0) (x - x_0)\n", "$$\t\t\n", "\t\t$y_0$の値は、$f(x_0)$ですから、接線の式は以下のようになります。\n", "$$\n", "\t\ty = f'(x_0) (x - x_0) + f(x_0)\n", "$$\n", "\t

\n", "\t\n", "\t

\n", "\t\tこの計算をSageを使って計算してみましょう。まずSageの変数x0を定義し、y0にf(x=x0)の値を代入します。\n", "\t\tf1にfの微分をセットします。\n", "\t

\t\n", "" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "3*x^2 - 2*x - 2" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# (x0, y0)での接線を求める\n", "x0 = var('x0')\n", "y0 = f(x=x0)\n", "f1 = diff(f, x)\n", "show(f1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

\n", "\t\t材料がそろったので、接線の式を定義し表示します。確認のために$x_0 = 0$での式も表示します。\n", "\t

\n", "\t

\n", "\t\t$x_0 = 0$での接線は、原点を通り傾き-2と求まりました。\n", "\t

\n", "" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "x0^3 + (3*x0^2 - 2*x0 - 2)*(x - x0) - x0^2 - 2*x0" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "-2*x" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# x0 = 0での接線の式\n", "y = f1(x=x0)*(x - x0) + y0\n", "show(y)\n", "show(y(x0 = 0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

\n", "\t\tこの直線をプロットしてみましょう。\n", "\t\tx0=0での接線の式なので、plotの引数にはyではなく、y(x0=0)が渡されていることに注意してください。\n", "\t

\n", "\t

\n", "\t\t重ね合わせたときに区別できるように線の色を緑にします。線の色は、rgbcolorオプションで指定します。\n", "\t

\n", "" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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DrHazkDoyFbcKb0ERrsDmM5tFZ+kkDjKRDkpISEB6ejocHR1FpxBp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\n40F0mwAAAABJRU5ErkJggg==\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y_plt = plot(y(x0=0), [x, -2.5, 2.5], rgbcolor='green')\n", "show(y_plt, figsize=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

\n", "\t\t接線を計算したポイントを示すために、point関数を使って点を表示します。\n", "\t

\n", "\t

\n", "\t\tpoint関数の使い方は、以下の通りです。座標は、リストまたはタプル形式で与えます。\n", "

\n",
    "point(座標, オプション属性(pointsize, rgccolor, faceted等))\n",
    "
\n", "\t

\n", "" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# x = 0のポイントをセット\n", "pt = (0, f(x=0))\n", "pt_plt = point(pt, rgbcolor='red', pointsize=30)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

グラフの重ね合わせ

\n", "\t

\n", "\t\tSageのグラフ表示機能の最大の特徴は、重ね合わせです。\n", "\t\tこれまで計算した以下の結果を同時に表示してみましょう。\n", "\t\t

\t\t\n", "\t

\n", "\t

\n", "\t\t重ね合わせは至って簡単で上記の3つの変数を足し合わせて、showメソッドで表示するだけです。\n", "\t

\n", "" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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58CnIfmL8eHjuObMIyLXX2p5G3ERBDjzHC4+z4MtT7zkrzsFBQfYDH34IcXHw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\niAsoyCIiIi6gIIuIiLiAgiwiIuIC/w/lj7snV5aF3gAAAABJRU5ErkJggg==\n", "text/plain": [ "Graphics object consisting of 3 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(f_plt + y_plt + pt_plt).show(figsize=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "

インタラクティブ機能とアニメーション機能

\n", "\t

\n", "\t\tインタラクティブ機能とアニメーション機能は、SageMathカーネルでは動作しませんので、ここでは省略します。\n", "\t

\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

並べて表示

\n", "\t

\n", "\t\tSageのプロット結果は、縦に表示されてしまうため、結果を比較したときには不便です。\n", "\t

\n", "\t

\n", "\t\tこのような場合には、htmlコマンドにプロットしたいグラフのリストを渡すと、\n", "\t\t表形式に変換して表示してくれます。表示するグラフのオプションにfigsizeでグラフの\n", "\t\t大きさを小さくしておくとよいでしょう。\n", "\t

\n", "\t

\n", "\t\t以下にsin曲線とcos曲線の表示例を示します。\n", "\t

\n", "\n" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
sin曲線cos曲線
" ], "text/plain": [ "<__main__.Table2Html instance at 0x7f7357518b90>" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# グラフを並べて表示する\n", "sin_plt = plot(sin(x), [x, -pi, pi], rgbcolor= 'green', figsize=4)\n", "cos_plt = plot(cos(x), [x, -pi, pi], figsize=4)\n", "Table2Html([[_to_png(sin_plt), _to_png(cos_plt)]], header=[\"sin曲線\", \"cos曲線\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

リストプロット

\n", "\t

\n", "\t\tデータを表示するのに便利なのが、list_plot関数です。\n", "\t

\n", "\t

\n", "\t\tlist_plot関数は、以下のように使用します。\n", "

\n",
    "list_plot(プロットするリスト, オプション)\t\n",
    "
\t\t\n", "\t

\n", "\t

\n", "\t\tリストの要素に[x, y]形式で座標を指定すると分布図が表示されます。\n", "\t\tまた、plot関数でエラーで表示できない場合の代替手段としてlist_plot関数を使うこともあります。\n", "\t

\n", "\t

\n", "\t\t以下にデータ点のプロットの場合とデータを結ぶ場合の例を示します。\n", "\t

\n", "" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# データを結ぶ\n", "list_plot([1, 2, 4, 3, 6], plotjoined=True, figsize=5) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

\n", "\t\t異なるデータを同時に表示する場合には、rgbcolorオプションで色をセットしたり、\n", "\t\tlegen_labelでデータの種類をセットすると便利です。\n", "\t

\n", "" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# データ(座標)のプロット\n", "c1 = [[1,2],[1,4],[2,4]]\n", "c2 = [[2,1],[5,1],[4,2]]\n", "# プロットして分布を確認\n", "pl1 = list_plot(c1, rgbcolor='red', legend_label='c1')\n", "pl2 = list_plot(c2, rgbcolor ='blue', legend_label='c2')\n", "(pl1+pl2).show(xmin=0, xmax=5, ymin=0, figsize=5) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

関係を表示

\n", "\t

\n", "\t\tプロットしたい関数ではなく、条件などの関係式を表示したいときがあります。\n", "\t\tこのような場合には、implicit_plotを使うと便利です。\n", "\t

\n", "\t

\n", "\t\timplicit_plotの例として、単位円を表示してみます。\n", "\t\t単位円の条件は、以下のように与えられます。\n", "$$\n", "\t\tx^2 + y^2 = 1\n", "$$\t\t\n", "\t

\n", "\t

\n", "\t\tこれをimplicit_plotで表示すると以下のようになります。\n", "\t

\n", "\n" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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K8UjPPy8LKMyfr7oSIucVFADTp0uPmuho1dWYh1Mhn52dDYvFAn9//8se9/f3\nR3YlwzJvuukmJCUlYe3atfjggw9QWlqKmJgYZGVlOVOOx2nZEpg4EXjpJU5DTMb3xhvAiRPAnDmq\nKzEXh0J+2bJl8PHxgY+PDxo1aoSiGl71i46OxpgxYxAeHo7u3bsjJSUFfn5+SExMrNHrebIZM2RR\n42eeUV0JUc1lZwOzZsnUHewX71oOtckPHz4c0b/7HFVQUABN05CTk3PZ2XxOTg4iIyOrX4TNhsjI\nyCp75QBAWFgYLBYL7HY77HY7ACA+Ph7x8fEO7Il5+PpKs82jjwIPPwx06qS6IiLHTZ0K1KsHzJyp\nuhL1kpOTy6dtyczMRGZmJpyZmMDpaQ2CgoLw5JNP4oknngAgw2/9/f2xdOlSjBw5slqvUVpainbt\n2mHIkCF49dVXr7kNpzWoWHExEBUl89p8+60sMEJkFJs3Az16AIsXAxMmqK5Gn5ROazBp0iTMnj0b\nH3/8MX744QeMHTsWzZo1w/Dhw8u3SUhIwLRp08q/njVrFtatW4fDhw8jLS0No0ePxrFjxzCeqwLU\niM0mb5CdO4FFi1RXQ1R9hYXSRNOlC/Dgg6qrMSenu1A+9dRTuHjxIiZMmICzZ8+ie/fu+Oyzz1C3\nbt3ybY4fPw6v351enjlzBg899BCys7Nxww03ICoqCtu2bUObNm2cLcdjde0qZ0HTpgEjRsgC4ER6\nN2eOTF+wc6dMp02ux1koTSQvD2jbFoiIAP79by6yQPq2bx8QGQn83//J6G2qGGehJAAy53ZiIvDp\npxwJS/pWVCSD+Fq0kL7x5D4MeZMZOlQWF5k0SRY/JtKjF14A0tNlkr369VVXY24MeRN6/XXgD3+Q\nM6XiYtXVEF3u229llslnnmGX39rAkDehRo2A998Htm6VNxORXuTlyZxLt94qE5GR+zHkTeq222Q0\n7KxZwIYNqqshknnix4+Xlc2WLZOR2uR+TnehrG1xcXGw2WwePcq1uv76V+Drr+XMKS0NCAxUXRF5\nsgULgJUr5RYaqroaYygb/VrsRLsru1CaXE4O0LGjvKnWr5dRsUS17ZtvZKWnRx4B5s1TXY3xsAsl\nVcjfX86ctm+XRcCJaltmJjByJBATI4tzU+1iyHuArl2BN9+UKQ/eekt1NeRJLl6U+eFtNuBf/2I7\nvAqGa5OnmpkwAdi7V2arbNUK6NdPdUVkdqWlwNixwP790lxzxbITVEt4Ju9B5s6VcL/7bmDPHtXV\nkNk9/TRynQiMAAAQb0lEQVSQkgJ88IFMtUFqMOQ9SNlH5pYtgUGDgGPHVFdEZvX668Crr8r97yak\nJQUY8h7Gx0fmtqlbFxgwQNaIJXKlDz4AJk8GnnwSeOwx1dUQQ94DBQQAX34pg1IGDJBRiESusGYN\nkJAgt7/9TXU1BDDkPVZYGLBuHXD4MDB4MHD+vOqKyOi++AIYNQq44w7gnXc4P7xeGO4wxMXFITY2\ntnwNRKq58HA5o//xR2mjZ9BTTX35pbS99+8vzTU29ttzieTkZMTGxiIuLq7Gr8ERr4Tt26XXTfv2\nwCefANdfr7oiMpJPPwXuvFN+h1aulAW5ybU44pWc0rkz8NVXwE8/Ab1782IsVd+HH8oZ/MCBDHi9\nYsgTAJn6deNGGYLeowe7V1LV/v53IC5O2uE//JABr1cMeSoXHi4jEwsKZCoEDpiia9E0YOZM4MEH\ngYcfltWdOF2BfjHk6TJhYcC2bTIEvXt36YFDVKawUOaEf+454MUXZfpg9qLRNx4eukpAALBpk8wa\nOGgQJzUj8d//Su+Zf/4TWLoUmDoVsFhUV0VVYcjTNfn4AB9/DPz5z8DEiXJfWKi6KlLlxx+BLl1k\nkrv162X9YDIGhjxVyGYD5s8HFi+WwS29ewMnT6quimrbv/4lAd+wIfDdd7K0JBkHQ56qNGGCNN8c\nPgxERnLNWE9RWAhMmgTcc490k9y6FWjRQnVV5CjDhTxHvKrRtSvw/fdAu3ZA375y4c2JZSdJ5w4c\nALp1k4Vm3nhDRrE2bKi6Ks/DEa9U60pKgBdekC50MTFyEa55c9VVkatomhzTP/9ZelgtXw506qS6\nKuKIV6o1Xl7AjBnSfHP8uPStf/ddCQcytl9+kQVlEhJkmoK0NAa8GTDkqUZuu00GS40cKf2mhwzh\nKFmj0jS5uNquHfD118CqVcCSJdLDioyPIU811qiRnMV//LEEfrt2smB4SYnqyqi6jh2Ti6r33CPT\nWfz4o5zFk3kw5MlpQ4dK/+kxY2QloC5dgJ07VVdFlSksBF57DWjbFti1S9ZiXbmSi22bEUOeXKJx\nYxkZu3UrUFQkM1s+8ACQk6O6MrrS55/LtZSnnpJj9NNPstAHmRNDnlyqa1c5M1ywAFi9WubCefFF\n4OJF1ZXRDz/INBWDBgGBgXJhdf58aXYj82LIk8vZbDIVQkYGcP/90qc+LAxITJSzfKpdhw9Lj5kO\nHeSYrFwpUxOEh6uujGoDQ57cxtcXeP11aQ7o1Qv405+ANm2ApCSGfW04elSmAr7pJlme7403gH37\ngLvu4sRinoQhT27XsiXw/vtAejoQESHtwGFh0qTDZhzX++kn4L77gFatpDvk7NnAwYPAI48Adeuq\nro5qm+FCntMaGNctt0jo7Nkjo2UffxwICZHBVdnZqqszNk2TOYViY6XHzLp1wN/+Bhw5IhdYvb1V\nV0g1wWkNyNAOHwbmzZPmm8JCaUaYOFEGWrE5oXrOnZNPSW+9JX3c27cHJk8GRo/mWbuZcFoDMqTQ\nUGknPnECmDNHeuX06CFnoq+9xrP7imiaLNN4//3SS+axx4DWrWUx9j17pKmGAU9leCZPulFaKk0O\nf/+7DM4pLpaViOLjgREj2NVv716ZMOyDD+RTUEiIXN+47z6gWTPV1ZE7OZN/DHnSpdOngQ8/lKaI\nb74B6tWTwL/jDhlh6+enukL30zSZ3nn1avmjt2+fDDq76y5ZmalHD66v6ikMF/IfffQRFi9ejF27\nduH06dPYvXs3wqvotMuQ91zHj0vf7pQUYMsWeaxzZxnU06+f/NtmU1ujq+TmAqmp0uXxs89kJa4b\nbpALqnfdJX/o6tVTXSXVNsOF/Pvvv48jR44gKCgIDz74INLS0hjyVC05OcCnnwKffCJhePYscN11\nQPfucmYbEyPT4xqhN4mmyfWIrVvlj9fGjTIqFZDJ3gYOBAYPln2rU0dpqaSY4UK+zNGjRxEaGsoz\neaqRkhKZCG3DBgnIrVuB8+dlzvt27YCOHWWUZ3i4fN20qbpeO0VFstrSjz/KxdHdu4EdO36b26dl\nS6BnT+D222UtXbtdTZ2kT87kn0k+5JIn8vKSGS+7dAH+8hcJ/R9+ALZvl/D//nsgORm4dEm2v/56\nGYTVqpWsZhUSAgQFSQ+Vpk2lnb9BA8frKC2VTxS//CKhffKkNDEdPQocOiRTCRw+/NtyiQEB8sdn\n/Hj51BEdLY8RuQNDnkzDy0tG1EZEAA89JI8VF0vI/vQTsH+/nE0fOCDNIydOSED/Xt26cnGzYUO5\n1a0rTSVWqzSvlJTIWfmvv8po3XPn5NPDlZ+Hr7tO/og0by4LqoSFSdfQtm3lDwpRbXF7yC9btgwT\nJkwAAFgsFnz22Wfo1q1bjV8vLi4OtiuussXHxyM+Pt6pOsmcbDbg5pvldqWSEuDUKSArS+5PnwbO\nnJGz8osX5VZYKLeyELfZJPTr15d2fx8f+aPg6ws0aSLzsdvt8jgHdFFNJCcnXzWiv7jsY2ANuL1N\nPj8/Hzm/m1Tcbrej3v+6B7BNnoioarpuk2/YsCFatGhR4fctPN0hInIbJW3yZ86cwbFjx5CZmQlN\n07B//35omoaAgAD4c/0xIiKXUTJebu3atYiMjMSwYcNgsVgQHx+Pjh07IjExUUU5RESmxWkNiIh0\njrNQEhHRNTHkiYhMjCFPRGRiDHkiIhMz3LQGZSNeOcqViMyubPSrrke8ugp71xCRp2LvGiIiuiaG\nPBGRiTHkiYhMjCFPRGRiDHkiIhNjyBMRmRhDnojIxBjyREQmxhGvREQ6xRGvREQegCNeiYjomhjy\nREQmxpAnIjIxhjwRkYkx5ImITIwhT0RkYgx5IiITY8gTEZkYQ56IyMQ4rQERkU5xWgMiIg/AaQ2I\niOiaGPJERCbGkCciMjGGPBGRiTHkiYhMjCFPRGRiDHkiIhNjyBMRmRhHvBIR6RRHvBIReQCOeCUi\nomtiyBMRmRhDnojIxJwO+Y8++ggDBgxAkyZNYLVasWfPniqfs2TJElitVnh5ecFqtcJqtcLb29vZ\nUoiI6ApOh3x+fj66d++Ol19+GRaLpdrPa9y4MbKzs8tvR48edbYUIiK6gtNdKMeMGQMAOHr0KBzp\nqGOxWODn5+fsjyciokooa5O/cOECmjdvjhtvvBEjRozAvn37VJVCRGRaSkL+pptuQlJSEtauXYsP\nPvgApaWliImJQVZWlopyiIhMy6HmmmXLlmHChAkApLnls88+Q7du3Rz+odHR0YiOji7/umvXrrj5\n5puRmJiImTNnVvrcshGvvxcSEoI333zT4Tr0KDk52TQjec20L4C59sdM+wKYa38effTRq65ROjPi\nFZoDLly4oB08eLD8VlBQUP69I0eOaBaLRUtPT3fkJcuNHDlSu/feeyv8fl5engZAy8vLu+p7w4YN\nq9HP1CPui36ZaX/MtC+aZq79uda+VJZ/VXHoTL5hw4Zo0aJFhd93pHfN75WWluKHH37AkCFDavR8\nIiK6Nqfb5M+cOYP09HTs3bsXmqZh//79SE9PR05OTvk2CQkJmDZtWvnXs2bNwrp163D48GGkpaVh\n9OjROHbsGMaPH+9sOZVKTk5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"text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 関係を満たすグラフを表示する\n", "x, y = var('x y')\n", "i_plt = implicit_plot(x^2 + y^2 == 1, [x, -1.5, 1.5], [y, -1.5, 1.5])\n", "i_plt.show(aspect_ratio=1, figsize=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

パラメトリックプロット(媒介変数表示)

\n", "\t

\n", "\t\tx, yが時間変数t(パラメータ)によって表される場合、parametric_plot関数\n", "\t\tを使って表示すると簡単です。\n", "\t

\n", "\t

\n", "\t\tパラメトリックプロットの例として、以下のサイクロイド曲線をparametric_plot関数\n", "\t\tで表示してみます。\n", "\t\t\n", "$$\n", "\t\t\\begin{eqnarray}\n", "\t\t\tx = 2 (t - sin(t)) \\\\\n", "\t\t\ty = 2 (1 - cos(t))\n", "\t\t\\end{eqnarray}\n", "$$\n", "\t\t

\t\n", "" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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fvh1Hjx7Fm2++iXr16qkOTal58+bhvffeQ1xcHHJycrBgwQIsWLAAixcvVh2a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\n+J4hEDpMvZ0AAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 媒介変数表示\n", "t = var('t')\n", "x = 2*(t-sin(t))\n", "y = 2*(1-cos(t))\n", "# サイクロイドのプロット(パラメトリックプロットの例)\n", "parametric_plot([x, y], (t, 0, 2*pi), figsize=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

3次元グラフ

\n", "\t

\n", "\t\t3次元のグラフには、plot3d関数を使用します。重ね合わせは2次元のグラフと同じように使えます。\n", "\t

\n", "\t

\n", "\t\t表示された3次元図形はマウスで自由に拡大、回転することができます。(驚きました)\t\t\n", "\t

\n", "\n" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x, y = var('x y')\n", "plot3d(lambda x, y: sin(x*y), [x,-pi,pi], [y,-pi,pi])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

等高線図

\n", "\t

\n", "\t\t3次元情報を表示する場合によく使用する方法に投稿線図があります。\t\n", "\t

\n", "\t

\n", "\t\t投稿線図は、contour_plot関数を使って表示します。\n", "\t\t前のグラフと同じものをcontour_plot関数で表示すると以下のようになります。\n", "\t

\n", "" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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MzsoRs7xTDwCx8pMlGdpC5e+LxWK+vuhEIoGZmRkPeQ8bDGqi0Si2t7cd/uhm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\nCEcEGyslEglsbGwIEgeadjzuIB6GaB4ERidHR0em/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iFoBw4cOBhSOATtwIEDB0MKh6Ad\nOHDgYEjhELQDBw4cDCkcgnbgwIGDIYVD0A4cOHAwpHAI2oEDBw6GFA5BO3DgwMGQwiFoBw4cOBhS\nOATtwIEDB0OK/weM/sVy0fGVUQAAAABJRU5ErkJggg==\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "var('x y')\n", "contour_plot(sin(x*y), [x, -pi, pi], [y, -pi, pi], aspect_ratio=1, figsize=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

基本図形

\n", "\t計算結果の表示の他に、補足説明などのために基本図形を表示したい場合があります。

\n", "\t\n", "\t以下によく使う基本図形を以下に示します。\n", "\t

\t\n", "\n", "\n", "\t\n", "\t

\n", "\t円は以下のように表示します。\n", "
\n",
    "circle((座標), 半径)\n",
    "
\n", "\t\n", "\tcircleの例を以下に示します。座標は原点(0, 0)、半径は1です。\n", "" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Xf/zh4IxqE7n836mwsBCapiE7O/uSFkt2djaaN29e7ut6e3ujefPmN5zNQXS5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\nGiLSy5w5wKhRwOjRcqiqGZk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"text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "circle((0,0), 1, figsize=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

文字列

\n", "\t

\n", "\t\t次に文字列textです。表示する文字列には、$で囲んでlatexの数式を表示することもできます。\n", "\t\t残念ながら、日本語が含まれているとエラーまたは文字化けします。\n", "\t

\n", "\t

\n", "\t\ttextは以下の形式で使用します。文字列の中心が指定した座標になるようにプロットされます。\n", "

\n",
    "text(文字列, (座標))\n",
    "
\n", "\t\ttextの例を以下に示します。\t\t\n", "\t

\n", "" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1vOcMAIBhiDMAAIYhzgAAGIY4AwBgGOIMAIBhiDMAAIYhzgAAGIY4AwBgGOIM\nAIBhiDMAAIYhzgAAGIY4AwBgmP8DkFx2JKK5dAAAAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_plt = text('test', (1, 1))\n", "eq_plt = text('$f(x) = x^2 + 1$', (0.5,0.5))\n", "(test_plt + eq_plt).show(xmin=0, ymin=0, figsize=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

\n", "\t

\n", "\t\t線(line)は、指定された座標のリストを線で結びます。\n", "\t\tlineの使い方は、簡単です。\n", "

\n",
    "line([(開始座標), (終了座標)])\n",
    "
\t\t\n", "\t

\n", "\n", "\t

\n", "\t\t以下に例を示します。日本語が使えないため、タイトルをhtml関数で先に表示し、その後に図形を表示します。\n", "\t\tshow関数で表示領域を指定し、すべての図形が表示されるようにします。\t\t\n", "\t

\t\n", "" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1lcPVqjGQFeLELvfCMCazys/nhC4dMJAVsk3sSktTXYnezLD9IsOYzIwTuvTA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\nRK5CYII=\n", "text/plain": [ "Graphics object consisting of 3 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c = circle((0.5,0.5), 1, figsize=5)\n", "l = line([(0,0), (1, 1)])\n", "pt = point((0.5, 0.5), rgbcolor='white', pointsize=30, faceted=True)\n", "(c + l + pt).show(xmin=-1, xmax=2, figsize=5)" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
テスト
" ], "text/plain": [ "" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# HTMLに変換して結合すれば文字列と図形を合わせて表示できる\n", "HTML('
テスト
' + _to_png(c + l + pt))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\t

ポリゴンの塗りつぶし

\n", "\t

\n", "\t\tpolygon関数を使うとリストで指定した座標の図形を塗りつぶします。\n", "\t

\n", "" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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