{ "cells": [ { "cell_type": "markdown", "metadata": { "toc": "true" }, "source": [ "# Table of Contents\n", "

1  ノートブック内にGUIを置く: ipywidgets
1.1  ロジスティックマップの描画
1.2  interactの利用
1.3  Lorenz方程式に適用した例
1.3.1  ライブラリのインポート
1.3.2  描画部分を関数に
1.3.3  interact, interactiveの利用例
1.4  interact_manualの利用
1.5  ボタンクリックによるスタート(Envent Handler)
1.6  デコレータとして用いる方法
2  一般的なGUI
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# ノートブック内にGUIを置く: ipywidgets\n", "\n", "ノートブック内にGUI部品(ウィジェット)を置く機能がいくつか開発されている。\n", "\n", "簡易な利用法のひとつとして interact を紹介し、そのあとEvent Handlerの利用例を示す。" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## ロジスティックマップの描画\n", "\n", "マップの定義と描画部分を関数として作成\n", "マップのパラメータ$a$と繰り返し回数を引数として与える。" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "def logisticFunc(xin,a): # definition of the Logistic map\n", " return a*xin*(1-xin)\n", "\n", "def plotLogisticMap(a=3.2, iteration=20):\n", " '''\n", " Plotting package of 1-d maps\n", " args: parameter of map, number of iteration\n", " '''\n", " xn = 0.1 # initial value of the variable\n", " \n", " fig = plt.figure()\n", " axes = fig.add_subplot(1,1,1) # Alternatively you can simply use plt.plot()\n", " # draw y=x and f(x)\n", " x = np.arange(0,1.0,0.01)\n", " axes.plot(x, a*x*(1-x), 'r')\n", " axes.plot(x, x, 'k')\n", " axes.set_xlabel(\"$x_n$\")\n", " axes.set_ylabel(\"$x_{n+1}$\")\n", " axes.set_title(\"a=\" + str(a))\n", " # show map iterations\n", " xnext = logisticFunc(xn,a) \n", " axes.plot([xn,xn],[0,xnext])\n", " for i in range(iteration):\n", " axes.plot([xn,xnext],[xnext,xnext],\"b\")\n", " xn = xnext\n", " xnext = logisticFunc(xn,a)\n", " axes.plot([xn,xn], [xn,xnext],\"b\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "関数にパラメータ$a$と繰り返し回数を引数として与えれば描画される" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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OZMCAGrlzPiSPETgUB8HN4ckO8NlnTgfyGdn+qxMRncTEW8yaBdu3w/TpULy4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\ng1JKqavQ4qCUUiqDXF0cRKSDiPwiIvt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotLogisticMap(3.8, 30)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## interactの利用\n", "\n", "- ipywidgetsのinteract関数をインポート\n", "- interract関数の第1引数に実行する関数名、2つめ以降に実行する関数の引数の最大値、最小値、規定値を与える。\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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JDAYWA9uAecaYrSIyQEQG5G2zDfgG2AysBd42xiR5OltA++knmDABBg7UEaQB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\nOF0QSKvFaXHwtNxcGD0aunS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from ipywidgets import interact, fixed\n", "interact(plotLogisticMap, a=(0.0,4.0,0.02), iteration=(10,100,5))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Lorenz方程式に適用した例\n", "\n", "$$\n", "\\begin{eqnarray}\n", "\\frac{dx}{dt} &= \\sigma (y-x) \\\\\n", "\\frac{dy}{dt} &= -xz + rx - y\\\\\n", "\\frac{dz}{dt} &=xy -bz\n", "\\end{eqnarray}\n", "$$\n", "\n", "### ライブラリのインポート\n", "まずは、必要なライブラリをインポート" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "import numpy as np\n", "from scipy import integrate\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### 描画部分を関数に\n", "\n", "パラメータを引数にする。\n", "\n", "(注)interactiveの利用では、各widgetの状態が変化するごとに、関数が実行される。下のcalc_and_plotでは、引数でrunがTrueになったときのみ実行するように設定した。\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "\n", "def lorentz_deriv(x, t0, sigma=10., beta=8./3., rho=28.0):\n", " \"\"\"Compute the time-derivative of a Lorenz system.\"\"\"\n", " return (sigma * (x[1] - x[0]), x[0] * (rho - x[2]) - x[1], x[0] * x[1] - beta * x[2])\n", "\n", "def calc_and_plot(sigma, beta, rho, max_time=20, run=True) :\n", " \n", " if not run:\n", " return \"not run\"\n", " \n", " x0 = [1., 1., 1.] # starting vector\n", " t = np.linspace(0, max_time, max_time*100) # time step is fixed\n", " x_t = integrate.odeint(lorentz_deriv, x0, t, args=(sigma, beta, rho))\n", " fig =plt.figure(figsize=(12,5))\n", "\n", " ax1 =fig.add_subplot(1,2,1) # 1 in (1 row, 2 columns)\n", " ax1.plot(t,x_t[:,0], label = \"$x$\")\n", " ax1.plot(t,x_t[:,1], label = \"$y$\")\n", " ax1.plot(t,x_t[:,2], label = \"$z$\")\n", " ax1.legend(loc=2)\n", " \n", " ax2= fig.add_subplot(1,2,2,projection='3d') # Axes3D is required\n", " ax2.plot(x_t[:,0], x_t[:,1], x_t[:,2])\n", " plt.title('$\\sigma =' + str(sigma) + '$, $\\\\beta =' + str(beta) + '$, $\\\\rho =' + str(rho) + '$')\n", " plt.show()\n", " # return fig\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### interact, interactiveの利用例\n", "\n", "スライダによるパラメータの設定だけだと、そのどれかが変更されるごとに計算するので、コンピュータの能力によっては極端に反応が悪くなる。\n", "そのため、runのチェックボックスにチェックが入っているときのみ計算を実行するようにした。\n", "下の例のようにwidget名を省略するとスライダになる。詳しくは、http://ipywidgets.readthedocs.io/en/latest/examples/Widget%20Basics.html\n", "\n", "interactは即時的に実行される。\n", "interactiveは、たとえば w = interactive(引数列)のようにオブジェクトを作って、dipsplay(w)のようにそれを表示する。この程度のものではどちらでもよいと思う。\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "'not run'" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from ipywidgets import interact, interactive, Checkbox\n", "from IPython.display import clear_output, display, HTML\n", "\n", "interact(calc_and_plot, sigma=(0.0,20.0), beta=(0, 8.0), rho=(0.0, 40.0),max_time=(10,50,1), run=Checkbox(value=False))\n", "#display(w)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## interact_manualの利用\n", "\n", "A simpler method is to use \"interact_manual\" as mensioned Sec.1.\n", "If using \"interact_manual\", chackbox (the last argument of calc_and_plot) is not necessary." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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om4DHgFqSwYRvCiH+t6IoXwL+CNAs3f8hhHh2qTaqkRCJjF9nIvVJiKvxjGtS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fjDHqwmPd89ax6XrSyMc3s/6g9y7yvbGfKE+MxxpXzhxPJJQzREWeG+zZ3cu6mTnDQTf716OTWl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\nSSzZw+fuCeRM7DBKWRP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from ipywidgets import interact_manual\n", "interact_manual(calc_and_plot, sigma=(0.0,20.0), beta=(0, 8.0), rho=(0.0, 40.0),max_time=(10,50,1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ボタンクリックによるスタート(Envent Handler)\n", "\n", "interact_manualを使えば、特に必要はないかもしえないが、スタートボタンを押したときに計算を始めるようにするための一つの工夫を紹介する。\n", "\n", "(下のコードのなかのスライダなどのwidgetの引数指定は、役立つノウハウではあると思う。interact_manualを使った上の例に組み込んでみてもらいたい。)\n", "\n", "ボタンにイベントハンドラ(on_click)をつけて、クリック時に計算を開始するようにしてみる。\n", "計算に時間がかかるときはこの方法が便利\n", "(Javaなどのウィジェットにリスナーを定義するような感じ。)\n", "\n", "(以前に描いたプロットが消去できない。計算、描画部分をクラスとして記述しておいて、描画部分のインスタンスを保持しながら実行すればよいかもしれないが試していない。)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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ZmeO2Wq1nrOmFzAwvAolU+hea5gwbTznDOYrhUCKEw+TAarRyMHpwYSYpkUgk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\nB/0E2mFUo47OOHHiBEuWLOGVV15h2rRpLj1Wazk5OURGRjJx4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6rV4Vy/H1kZMJRAKYtWZshtgLYlBnOezFrDNTZIq5B06/M6NY7vZ1M7tkNjs6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ysjIyMjs7SEi5eZCi/C8fl87Nu3j46OoO3AZrNJE+nCFDMWnZrXqg+UWEVqlByXZeOFiu4JpSGb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\nKirOSuqGKIr09fWh0+mor69HFMXYSUtXV1fspGWuNznKrXxr165FpVIRD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oDllSWUCmME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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import ipywidgets as widgets\n", "from IPython.display import display\n", "from ipykernel.pylab.backend_inline import flush_figures\n", "\n", "present_fig = None\n", "\n", "set_sigma = widgets.FloatSlider(value= 10, min=0, max=20.0, step=0.1,\n", " description=\"sigma\", readout=True,\n", " readout_format='i', layout=widgets.Layout(width='50%'))\n", "set_beta = widgets.FloatSlider(value= 3.0, min=0, max=8.0, step=0.1,\n", " description='beta', readout=True,\n", " readout_format='i', layout=widgets.Layout(width='50%'))\n", "set_rho = widgets.FloatSlider(value= 10.0, min=0, max=40.0, step=0.1,\n", " description='rho', readout=True,\n", " readout_format='i', layout=widgets.Layout(width='50%'))\n", "set_max_time = widgets.FloatSlider(value= 20.0, min=10, max=50.0, step=1.0,\n", " description='max_time', readout=True,\n", " readout_format='i', layout=widgets.Layout(width='50%'))\n", "startBtn =widgets.Button(description='Run', disabled=False,icon='check')\n", "\n", "def run_by_button(dummy):\n", " # global present_fig\n", " #if present_fig is not None: # This doesn't work (?)\n", " # present_fig.clf()\n", " flush_figures() # doesn't work\n", " calc_and_plot(set_sigma.value, set_beta.value, set_rho.value, set_max_time.value)\n", "\n", "startBtn.on_click(run_by_button)\n", "\n", "display(set_sigma)\n", "display(set_beta)\n", "display(set_rho)\n", "display(set_max_time)\n", "display(startBtn)\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## デコレータとして用いる方法\n", "\n", "次のように、関数を呼ぶときの引数をスライダの現在値を渡すデコレータをつける方法もある。\n", "(@で始まるのは、デコレータと呼ばれ、その下で定義される関数の上に被せるものという意味。)\n", "\n", "引用元: http://qiita.com/tanemaki/items/e965cd9c25acbeed860c" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "from __future__ import print_function\n", "from IPython.html.widgets import interact, interactive, fixed\n", "from IPython.html import widgets\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "@interact(amp=(0.1, 4.0, 0.1), omega=(0.1, 4.0, 0.1), phase=(-np.pi, np.pi, 0.1), \n", " fn = {'sin': np.sin, 'cos': np.cos, 'tan': np.tan})\n", "def h(amp=1.0, omega=1.0, phase=0.0, fn=np.sin):\n", " domain=[-np.pi, np.pi]\n", " x = np.linspace(domain[0], domain[1], 100)\n", " y = amp * fn(omega * x + phase)\n", " plt.plot(x, y)\n", " plt.plot(-phase/omega, 0, 'or')\n", " plt.xlim(domain)\n", " plt.ylim([-4, 4])\n", "\n", "h()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# 一般的なGUI\n", "\n", "本格的なGUIを作成するには、ノートブックとは独立に独自のウィンドウ上に作成するライブラリを利用する.\n", "\n", "\n", "- Tkinter もっとも伝統的なGUI\n", " - http://docs.python.jp/2/library/tk.html\n", " - 次の節で例を示す\n", " - ライブラリ名は、python2では\"Tkinter\"、python3では\"tkinter\"であることに注意してほしい。\n", "- wxPython\n", "- PyQt\n", "- PyGTK\n", "詳しくは、http://docs.python.jp/2/library/othergui.html\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "次は、複数の非線形振動子が結合した系の振る舞いを調べる。\n", "[該当ページへ](coupledNonlinearOscillations.html)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.0" }, "latex_envs": { "bibliofile": "biblio.bib", "cite_by": "apalike", 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