{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%HTML\n",
""
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# python2.7カーネルでsageの関数を使う\n",
"%load_ext sage\n",
"# jupyter用のdisplayメソッド\n",
"from IPython.display import display, Latex, HTML, Math, JSON\n",
"# テンプレートエンジン\n",
"load('script/JinjaMagics.py')\n",
"# ユーティリティ\n",
"load('script/sage_util.py')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/plain": [
"<__main__.Graphics2Html instance at 0x7fac35a46248>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x = var('x')\n",
"f = x^3 - x^2 - 2*x\n",
"f_plt = plot(f, [x, -2.5, 2.5], figsize=5)\n",
"Graphics2Html(f_plt) "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$$3 \\, x^{2} - 2 \\, x - 2$$"
],
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"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",
"Math(latex(f1)) "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$$\\left[x_{0}^{3} + {\\left(3 \\, x_{0}^{2} - 2 \\, x_{0} - 2\\right)} {\\left(x - x_{0}\\right)} - x_{0}^{2} - 2 \\, x_{0}, -2 \\, x\\right]$$"
],
"text/plain": [
""
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# x0 = 0での接線の式\n",
"y = f1(x=x0)*(x - x0) + y0\n",
"Math(latex([y, y(x0 = 0)]))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/plain": [
"<__main__.Graphics2Html instance at 0x7fac35aeea28>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_plt = plot(y(x0=0), [x, -2.5, 2.5], rgbcolor='green', figsize=5)\n",
"Graphics2Html(y_plt) "
]
},
{
"cell_type": "code",
"execution_count": 7,
"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": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/plain": [
"<__main__.Graphics2Html instance at 0x7fac31347a28>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Graphics2Html((f_plt + y_plt + pt_plt))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# 与えられたx座標でのfと接線のグラフを返す関数を定義\n",
"def _MyGraph(x1):\n",
" y_plt = plot(y(x0=x1), [x, -2.5, 2.5], rgbcolor='green', figsize=5)\n",
" pt = (x1, f(x=x1)) # x0, y0の座標をセット\n",
" pt_plt = point(pt, rgbcolor='red', pointsize=30)\n",
" return (f_plt + y_plt + pt_plt) # f_pltは先の結果を再利用 "
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from __future__ import print_function\n",
"from ipywidgets import interact, interactive, fixed\n",
"import ipywidgets as widgets"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def f(x):\n",
" return x"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"ename": "ValueError",
"evalue": "10 cannot be transformed to a Widget",
"output_type": "error",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[1;31mValueError\u001b[0m Traceback (most recent call last)",
"\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mwidgets\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0minteract\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mf\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mx\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mInteger\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m10\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m;\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[1;32m/usr/lib/sagemath/local/lib/python2.7/site-packages/ipywidgets/widgets/interaction.pyc\u001b[0m in \u001b[0;36minteract\u001b[1;34m(__interact_f, **kwargs)\u001b[0m\n\u001b[0;32m 316\u001b[0m \u001b[1;31m# ...\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 317\u001b[0m \u001b[0mf\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0m__interact_f\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 318\u001b[1;33m \u001b[0mw\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0minteractive\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mf\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 319\u001b[0m \u001b[1;32mtry\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 320\u001b[0m \u001b[0mf\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mwidget\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mw\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;32m/usr/lib/sagemath/local/lib/python2.7/site-packages/ipywidgets/widgets/interaction.pyc\u001b[0m in \u001b[0;36minteractive\u001b[1;34m(__interact_f, **kwargs)\u001b[0m\n\u001b[0;32m 194\u001b[0m \u001b[0mgetcallargs\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mf\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[1;33m{\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m:\u001b[0m\u001b[0mv\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mn\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mv\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0m_\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mnew_kwargs\u001b[0m\u001b[1;33m}\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 195\u001b[0m \u001b[1;31m# Now build the widgets from the abbreviations.\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 196\u001b[1;33m \u001b[0mkwargs_widgets\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mextend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0m_widgets_from_abbreviations\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnew_kwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 197\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 198\u001b[0m \u001b[1;31m# This has to be done as an assignment, not using container.children.append,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;32m/usr/lib/sagemath/local/lib/python2.7/site-packages/ipywidgets/widgets/interaction.pyc\u001b[0m in \u001b[0;36m_widgets_from_abbreviations\u001b[1;34m(seq)\u001b[0m\n\u001b[0;32m 153\u001b[0m \u001b[0mresult\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 154\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mname\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mabbrev\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdefault\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mseq\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 155\u001b[1;33m \u001b[0mwidget\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0m_widget_from_abbrev\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mabbrev\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdefault\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 156\u001b[0m \u001b[1;32mif\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[0mwidget\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdescription\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 157\u001b[0m \u001b[0mwidget\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdescription\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mname\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;32m/usr/lib/sagemath/local/lib/python2.7/site-packages/ipywidgets/widgets/interaction.pyc\u001b[0m in \u001b[0;36m_widget_from_abbrev\u001b[1;34m(abbrev, default)\u001b[0m\n\u001b[0;32m 113\u001b[0m \u001b[1;32mpass\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 114\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mwidget\u001b[0m \u001b[1;32mis\u001b[0m \u001b[0mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 115\u001b[1;33m \u001b[1;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"%r cannot be transformed to a Widget\"\u001b[0m \u001b[1;33m%\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mabbrev\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 116\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mwidget\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 117\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;31mValueError\u001b[0m: 10 cannot be transformed to a Widget"
]
}
],
"source": [
"widgets.interact(f, x=10);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
}
},
"nbformat": 4,
"nbformat_minor": 0
}