{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introducción a Matplotlib\n", "\n", "*Matplotlib* es probablemente el paquete de Python más utilizado para gráficos 2D. Proporciona una forma muy rápida de visualizar los datos de Python y figuras con calidad de publicación en muchos formatos. \n", "\n", "*pyplot* proporciona una interfaz de procedimiento de la biblioteca orientada a objetos. Se modela de forma similar a Matlab™. Por lo tanto, la mayoría de los comandos de ploteo en pyplot tiene análogos Matlab™ con argumentos similares." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Un gráfico simple\n", "\n", "Matplotlib viene con un conjunto de ajustes predeterminados que permiten la personalización de todo tipo de propiedades. Puede controlar los valores predeterminados de casi todas las propiedades en matplotlib: tamaño de la figura, dpi, ancho de línea, color y estilo, ejes, cuadrícula, propiedades de texto y de fuente y así sucesivamente." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_data = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n", "cos = np.cos(x_data)\n", "\n", "plt.plot(x_data, cos)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "3.1415926535897931" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_data = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n", "x_data[-1]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "3.1415926535897931" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_data = np.linspace(-np.pi, np.pi, 256)\n", "x_data[-1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dos dataset" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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dC+G2v/WFN2ynTdN63nt7GyzKQNrXb8++U/vIvJJptBS3ZOxYLeyXnl7ydSp+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\nqdGEGhVquHzu7t2hTh1YuND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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 2 * np.pi, 50)\n", "plt.plot(x, np.sin(x),\n", " x, np.sin(2 * x))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parámetros por defaults\n", "\n", "En la siguiente secuencia de comando, se han instanciado todos los ajustes básicos que influyen en el plot.\n", "\n", "Los valores que se han establecido explícitamente son sus valores predeterminados, pero ahora se puede jugar de forma interactiva con los estos valores." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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yTz1xGrquG+3wKvZqX7Rvb7wCePmy6iT2FFo5lLC9ckeUUVKwhVvQdZkdbqXd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\nOM6gQUZbPCVFdRLxKKRg21CZAmWoV7I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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a figure of size 8x6 inches, 80 dots per inch\n", "plt.figure(figsize=(8, 6), dpi=80)\n", "\n", "# Create a new subplot from a grid of 1x1\n", "plt.subplot(1, 1, 1)\n", "\n", "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n", "C, S = np.cos(X), np.sin(X)\n", "\n", "# Plot cosine with a blue continuous line of width 1 (pixels)\n", "plt.plot(X, C, color=\"blue\", linewidth=1.0, linestyle=\"-\")\n", "\n", "# Plot sine with a green continuous line of width 1 (pixels)\n", "plt.plot(X, S, color=\"green\", linewidth=1.0, linestyle=\"-\")\n", "\n", "# Set x limits\n", "plt.xlim(-4.0, 4.0)\n", "\n", "# Set x ticks\n", "plt.xticks(np.linspace(-4, 4, 9, endpoint=True))\n", "\n", "# Set y limits\n", "plt.ylim(-1.0, 1.0)\n", "\n", "# Set y ticks\n", "plt.yticks(np.linspace(-1, 1, 5, endpoint=True))\n", "\n", "# Save figure using 72 dots per inch\n", "# plt.savefig(\"exercice_2.png\", dpi=72)\n", "\n", "# Show result on screen\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Customising the look of lines.\n", "x = np.linspace(0, 2 * np.pi, 50)\n", "plt.plot(x, np.sin(x), 'r-o',\n", " x, np.cos(x), 'g--')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Colores:\n", "* Azul – ‘b’\n", "* Verde – ‘g’\n", "* Rojo – ‘r’\n", "* Cyan – ‘c’\n", "* Magenta – ‘m’\n", "* Amarillo – ‘y’\n", "* Negro – ‘k’ (‘b’ se utiliza para el azul)\n", "* Blanco – ‘w’\n", "\n", "Lineas:\n", "* Linea sólida – ‘-‘\n", "* Linea rayas – ‘–‘\n", "* Punteada – ‘.’\n", "* Punta-raya – ‘-:’\n", "\n", "Marcadores:\n", "+ Punto – ‘.’\n", "+ Pixel – ‘,’\n", "+ Circulo – ‘o’\n", "+ Cuadrado – ‘s’\n", "+ Triangulo – ‘^’" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Límite de los ejes" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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QHSfBoqOhSBFrKl/16qrTCIdxYeNYe3wtvzT7RXWUJJOatPBKe/dCaCi0aaM6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\n7R2245fZT3UcIdzCyZPWRkDbtlmbcIi/SU06Hrr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a figure of size 8x6 inches, 80 dots per inch\n", "plt.figure(figsize=(8, 6), dpi=80)\n", "\n", "# Create a new subplot from a grid of 1x1\n", "plt.subplot(1, 1, 1)\n", "\n", "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n", "C, S = np.cos(X), np.sin(X)\n", "\n", "# Plot cosine with a blue continuous line of width 1 (pixels)\n", "plt.plot(X, C, color=\"blue\", linewidth=1.0, linestyle=\"-\")\n", "\n", "# Plot sine with a green continuous line of width 1 (pixels)\n", "plt.plot(X, S, color=\"green\", linewidth=1.0, linestyle=\"-\")\n", "\n", "# Set x ticks\n", "plt.xticks(np.linspace(-4, 4, 9, endpoint=True))\n", "# Set y ticks\n", "plt.yticks(np.linspace(-1, 1, 5, endpoint=True))\n", "\n", "plt.xlim(X.min() * 1.1, X.max() * 1.1)\n", "plt.ylim(C.min() * 1.1, C.max() * 1.1)\n", "\n", "plt.grid(True)\n", "\n", "# Save figure using 72 dots per inch\n", "# plt.savefig(\"exercice_2.png\", dpi=72)\n", "\n", "# Show result on screen\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "### Setting ticks" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1LBdn5tM0jV4hvaT1fA8pvsLlZGQYywJGuk9tcKj4vfEEFg+kYqGKqqM4TJ06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\nibibFF+b0DSN15u+zmcbPgOMPXvr1YM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a figure of size 8x6 inches, 80 dots per inch\n", "plt.figure(figsize=(8, 6), dpi=80)\n", "\n", "# Create a new subplot from a grid of 1x1\n", "plt.subplot(1, 1, 1)\n", "\n", "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n", "C, S = np.cos(X), np.sin(X)\n", "\n", "# Plot cosine with a blue continuous line of width 1 (pixels)\n", "plt.plot(X, C, color=\"blue\", linewidth=1.0, linestyle=\"-\")\n", "\n", "# Plot sine with a green continuous line of width 1 (pixels)\n", "plt.plot(X, S, color=\"green\", linewidth=1.0, linestyle=\"-\")\n", "\n", "# Set x limits\n", "plt.xlim(-4.0, 4.0)\n", "# Set y limits\n", "plt.ylim(-1.0, 1.0)\n", "\n", "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi])\n", "plt.yticks([-1, 0, +1])\n", "\n", "# Save figure using 72 dots per inch\n", "# plt.savefig(\"exercice_2.png\", dpi=72)\n", "\n", "# Show result on screen\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setting tick labels" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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nOok5hUWHobtbd+SyyyU6ikVw72btFM9bHD4lfLDuAu9sXsbCS4YTFgZ066Zs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\n6CQEsPCayk8/AcOaBOBu/E3svs5bWzU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SpFgAMoCFZhz0sPBmXilZlmMlSboH5QNwUXQg\ng8roDtZHluWZz/8sCQAkSWoMYKssy7csG9XQ7gHI8/z3zgDuC8xidFkZgfHzm0WyLF+EcjMDSZKa\nArgqy/KfHQZJkkbBZIMeFt5MkmV54PP//bfoLHqXw7b9X3ZBkyTJBUBjWZa/0ySsee0GUBvAegB1\nAWwRG8c4cjgC4+c3Z161C6LpBj0svKS67Lbtn/9AO/e31wYA+EGSJDsAzWRZZgHJnK0A2kmS1BOA\nLMvyJtGBjCK7IzB+flXxjx2dzDjo4TpeEqGULMuxUNqhL48amgPY/uIfJEkaAuU52T0Ad5//okyQ\nFR/Kshwhy/J40XkM7LUjMPDzq4VDAG6KDqE1bhlJuiFJ0khZln8WnYPohVeNeN/wWn5+KVPYaiZd\nkCSpBABOPiG9OQQgKaMX8fNLWcFWM+lFEwAbRYcgepksywmZnEXLzy9lGlvNREREFsQRLxERkQWx\n8BIREVkQCy8REZEFsfASERFZEAsvERGRBbHwEhERWRALLxERkQWx8BIREVnQ/wNNE+O/z5HrcgAA\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a figure of size 8x6 inches, 80 dots per inch\n", "plt.figure(figsize=(8, 6), dpi=80)\n", "\n", "# Create a new subplot from a grid of 1x1\n", "plt.subplot(1, 1, 1)\n", "\n", "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n", "C, S = np.cos(X), np.sin(X)\n", "\n", "# Plot cosine with a blue continuous line of width 1 (pixels)\n", "plt.plot(X, C, color=\"blue\", linewidth=1.0, linestyle=\"-\")\n", "\n", "# Plot sine with a green continuous line of width 1 (pixels)\n", "plt.plot(X, S, color=\"green\", linewidth=1.0, linestyle=\"-\")\n", "\n", "# Set x limits\n", "plt.xlim(-4.0, 4.0)\n", "# Set y limits\n", "plt.ylim(-1.0, 1.0)\n", "\n", "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n", " [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n", "plt.yticks([-1, 0, +1],\n", " [r'$-1$', r'$0$', r'$+1$'])\n", "\n", "# Save figure using 72 dots per inch\n", "# plt.savefig(\"exercice_2.png\", dpi=72)\n", "\n", "# Show result on screen\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Agregando leyendas" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Ok7kGDYqNpRdsQhU5YSulAsALwFXA2UBPpVSjozz1S631+ZFfjxf1uEIkQ7Qc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\nBCBSgGPDBpgwwW484vgkYWeKHj0IVTPJwn32mfx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a figure of size 8x6 inches, 80 dots per inch\n", "plt.figure(figsize=(8, 6), dpi=80)\n", "\n", "# Create a new subplot from a grid of 1x1\n", "plt.subplot(1, 1, 1)\n", "\n", "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n", "C, S = np.cos(X), np.sin(X)\n", "\n", "# Plot cosine with a blue continuous line of width 1 (pixels)\n", "plt.plot(X, C, color=\"blue\", linewidth=1.0, linestyle=\"-\")\n", "\n", "# Plot sine with a green continuous line of width 1 (pixels)\n", "plt.plot(X, S, color=\"green\", linewidth=1.0, linestyle=\"-\")\n", "\n", "# Set x limits\n", "plt.xlim(-4.0, 4.0)\n", "\n", "# Set x ticks\n", "plt.xticks(np.linspace(-4, 4, 9, endpoint=True))\n", "\n", "# Set y limits\n", "plt.ylim(-1.0, 1.0)\n", "\n", "# Set y ticks\n", "plt.yticks(np.linspace(-1, 1, 5, endpoint=True))\n", "\n", "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\", label=\"cosine\")\n", "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\", label=\"sine\")\n", "\n", "plt.legend(loc='upper left')\n", "\n", "# Save figure using 72 dots per inch\n", "# plt.savefig(\"exercice_2.png\", dpi=72)\n", "\n", "# Show result on screen\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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GmfGtt0qydtz771Mi6wAAz/Ek//6PJBNHFSuG9fD/A8BavCQyEUMkBLnCFsJB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\nIjY2loYNGxIbG8uWLVsyjxEVFUXv3r0ZPLjwFL+Ji4OaNc3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a figure of size 8x6 inches, 80 dots per inch\n", "plt.figure(figsize=(8, 6), dpi=80)\n", "\n", "# Create a new subplot from a grid of 1x1\n", "plt.subplot(1, 1, 1)\n", "\n", "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n", "C, S = np.cos(X), np.sin(X)\n", "\n", "# Plot cosine with a blue continuous line of width 1 (pixels)\n", "plt.plot(X, C, color=\"blue\", linewidth=1.0, linestyle=\"-\")\n", "\n", "# Plot sine with a green continuous line of width 1 (pixels)\n", "plt.plot(X, S, color=\"green\", linewidth=1.0, linestyle=\"-\")\n", "\n", "# Set x limits\n", "plt.xlim(-4.0, 4.0)\n", "\n", "# Set x ticks\n", "plt.xticks(np.linspace(-4, 4, 9, endpoint=True))\n", "\n", "# Set y limits\n", "plt.ylim(-1.0, 1.0)\n", "\n", "# Set y ticks\n", "plt.yticks(np.linspace(-1, 1, 5, endpoint=True))\n", "\n", "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\", label=\"cosine\")\n", "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\", label=\"sine\")\n", "\n", "plt.legend(loc='upper left')\n", "\n", "t = 2 * np.pi / 3\n", "# linea\n", "plt.plot([t, t], [0, np.cos(t)], color='blue', linewidth=2.5, linestyle=\"--\")\n", "# punto\n", "plt.scatter([t, ], [np.cos(t), ], 50, color='blue')\n", "\n", "# texto\n", "plt.annotate(r'$sin(\\frac{2\\pi}{3})=\\frac{\\sqrt{3}}{2}$',\n", " xy=(t, np.sin(t)), xycoords='data',\n", " xytext=(+10, +30), textcoords='offset points', fontsize=16,\n", " arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n", "\n", "plt.plot([t, t],[0, np.sin(t)], color='red', linewidth=2.5, linestyle=\"--\")\n", "plt.scatter([t, ],[np.sin(t), ], 50, color='red')\n", "\n", "plt.annotate(r'$cos(\\frac{2\\pi}{3})=-\\frac{1}{2}$',\n", " xy=(t, np.cos(t)), xycoords='data',\n", " xytext=(-90, -50), textcoords='offset points', fontsize=16,\n", " arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n", "\n", "# Save figure using 72 dots per inch\n", "# plt.savefig(\"exercice_2.png\", dpi=72)\n", "\n", "# Show result on screen\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* 'figure points' : points from the lower left corner of the figure\n", "* 'figure pixels' : pixels from the lower left corner of the figure\n", "* 'figure fraction' : 0,0 is lower left of figure and 1,1 is upper, right\n", "* 'axes points' : points from lower left corner of axes\n", "* 'axes pixels' : pixels from lower left corner of axes\n", "* 'axes fraction' : 0,0 is lower left of axes and 1,1 is upper right\n", "* 'offset points' : Specify an offset (in points) from the xy value\n", "* 'data' : use the axes data coordinate system" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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2bNjAypUr2bx5M6mpqaSlpZGeng7AqlWr7jstdPny5bi4uOgrXrq7u3Pnzh2j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\nlpaioqIC5eXlKCwsxPvvv4/t27f3usChqamppkMVDCooCOG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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.patches as mpatches\n", "\n", "fig = plt.figure(1, figsize=(8,5))\n", "fig.clf()\n", "from mpl_toolkits.axes_grid.axes_grid import AxesGrid\n", "from mpl_toolkits.axes_grid.anchored_artists import AnchoredText\n", "\n", "#from matplotlib.font_manager import FontProperties\n", "\n", "def add_at(ax, t, loc=2):\n", " fp = dict(size=8)\n", " _at = AnchoredText(t, loc=loc, prop=fp)\n", " ax.add_artist(_at)\n", " return _at\n", "\n", "\n", "grid = AxesGrid(fig, 111, (3, 5), label_mode=\"1\", share_all=True)\n", "\n", "grid[0].set_autoscale_on(False)\n", "\n", "\n", "x1, y1 = 0.3, 0.3\n", "x2, y2 = 0.7, 0.7\n", "\n", "\n", "def demo_con_style(ax, connectionstyle, label=None):\n", "\n", " if label is None:\n", " label = connectionstyle\n", "\n", " x1, y1 = 0.3, 0.2\n", " x2, y2 = 0.8, 0.6\n", "\n", " ax.plot([x1, x2], [y1, y2], \".\")\n", " ax.annotate(\"\",\n", " xy=(x1, y1), xycoords='data',\n", " xytext=(x2, y2), textcoords='data',\n", " arrowprops=dict(arrowstyle=\"->\", #linestyle=\"dashed\",\n", " color=\"0.5\",\n", " shrinkA=5, shrinkB=5,\n", " patchA=None,\n", " patchB=None,\n", " connectionstyle=connectionstyle,\n", " ),\n", " )\n", "\n", " add_at(ax, label, loc=2)\n", "\n", "column = grid.axes_column[0]\n", "\n", "demo_con_style(column[0], \"angle3,angleA=90,angleB=0\",\n", " label=\"angle3,\\nangleA=90,\\nangleB=0\")\n", "demo_con_style(column[1], \"angle3,angleA=0,angleB=90\",\n", " label=\"angle3,\\nangleA=0,\\nangleB=90\")\n", "\n", "\n", "\n", "column = grid.axes_column[1]\n", "\n", "demo_con_style(column[0], \"arc3,rad=0.\")\n", "demo_con_style(column[1], \"arc3,rad=0.3\")\n", "demo_con_style(column[2], \"arc3,rad=-0.3\")\n", "\n", "\n", "\n", "column = grid.axes_column[2]\n", "\n", "demo_con_style(column[0], \"angle,angleA=-90,angleB=180,rad=0\",\n", " label=\"angle,\\nangleA=-90,\\nangleB=180,\\nrad=0\")\n", "demo_con_style(column[1], \"angle,angleA=-90,angleB=180,rad=5\",\n", " label=\"angle,\\nangleA=-90,\\nangleB=180,\\nrad=5\")\n", "demo_con_style(column[2], \"angle,angleA=-90,angleB=10,rad=5\",\n", " label=\"angle,\\nangleA=-90,\\nangleB=10,\\nrad=0\")\n", "\n", "\n", "column = grid.axes_column[3]\n", "\n", "demo_con_style(column[0], \"arc,angleA=-90,angleB=0,armA=30,armB=30,rad=0\",\n", " label=\"arc,\\nangleA=-90,\\nangleB=0,\\narmA=30,\\narmB=30,\\nrad=0\")\n", "demo_con_style(column[1], \"arc,angleA=-90,angleB=0,armA=30,armB=30,rad=5\",\n", " label=\"arc,\\nangleA=-90,\\nangleB=0,\\narmA=30,\\narmB=30,\\nrad=5\")\n", "demo_con_style(column[2], \"arc,angleA=-90,angleB=0,armA=0,armB=40,rad=0\",\n", " label=\"arc,\\nangleA=-90,\\nangleB=0,\\narmA=0,\\narmB=40,\\nrad=0\")\n", "\n", "\n", "column = grid.axes_column[4]\n", "\n", "demo_con_style(column[0], \"bar,fraction=0.3\",\n", " label=\"bar,\\nfraction=0.3\")\n", "demo_con_style(column[1], \"bar,fraction=-0.3\",\n", " label=\"bar,\\nfraction=-0.3\")\n", "demo_con_style(column[2], \"bar,angle=180,fraction=-0.2\",\n", " label=\"bar,\\nangle=180,\\nfraction=-0.2\")\n", "\n", "\n", "#demo_con_style(column[1], \"arc3,rad=0.3\")\n", "#demo_con_style(column[2], \"arc3,rad=-0.3\")\n", "\n", "\n", "grid[0].set_xlim(0, 1)\n", "grid[0].set_ylim(0, 1)\n", "grid.axes_llc.axis[\"bottom\"].toggle(ticklabels=False)\n", "grid.axes_llc.axis[\"left\"].toggle(ticklabels=False)\n", "fig.subplots_adjust(left=0.05, right=0.95, bottom=0.05, top=0.95)\n", "\n", "plt.draw()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Subplots\n", "\n", "Una \"figura\" en matplotlib significa toda la ventana de la interfaz de usuario. Dentro de esta figura puede haber \"subplots\".\n", "\n", "Hasta ahora hemos utilizado la figura implícita y ejes de la creación. Esto es útil para los trazados rápidos. Podemos tener más control sobre la visualización utilizando figura, subplots, y los ejes de forma explícita.\n", "\n", "Una figura es las ventanas de la interfaz gráfica de usuario que tiene \"Figura #\" como título. Las figuras están numerados a partir de 1 a diferencia de la forma normal Python a partir de 0. Esto es claramente el estilo de MATLAB. Existen varios parámetros que determinan lo que la cifra será similar a:\n", "\n", "|Argument \t|Default \t |Description |\n", "|-----------|-----------------|--------------------------------------------|\n", "|num \t |1 \t |number of figure |\n", "|figsize \t|figure.figsize |figure size in in inches (width, height) |\n", "|dpi \t |figure.dpi \t |resolution in dots per inch |\n", "|facecolor \t|figure.facecolor |color of the drawing background |\n", "|edgecolor \t|figure.edgecolor |color of edge around the drawing background |\n", "|frameon \t|True \t |draw figure frame or not |\n", "\n", "\n", "### Sintaxis subplot\n", "\n", " subplot(nrows, ncols, plot_number)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 4))\n", "plt.subplot(2, 1, 1)\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.text(0.5, 0.5, 'subplot(2,1,1)', ha='center', va='center',\n", " size=24, alpha=.5)\n", "\n", "plt.subplot(2, 1, 2)\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.text(0.5, 0.5, 'subplot(2,1,2)', ha='center', va='center',\n", " size=24, alpha=.5)\n", "\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 4))\n", "plt.subplot(1, 2, 1)\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.text(0.5, 0.5, 'subplot(1,2,1)', ha='center', va='center',\n", " size=24, alpha=.5)\n", "\n", "plt.subplot(1, 2, 2)\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.text(0.5, 0.5, 'subplot(1,2,2)', ha='center', va='center',\n", " size=24, alpha=.5)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 4))\n", "plt.subplot(2, 2, 1)\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.text(0.5, 0.5, 'subplot(2,2,1)', ha='center', va='center',\n", " size=20, alpha=.5)\n", "\n", "plt.subplot(2, 2, 2)\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.text(0.5, 0.5, 'subplot(2,2,2)', ha='center', va='center',\n", " size=20, alpha=.5)\n", "\n", "plt.subplot(2, 2, 3)\n", "plt.xticks(())\n", "plt.yticks(())\n", "\n", "plt.text(0.5, 0.5, 'subplot(2,2,3)', ha='center', va='center',\n", " size=20, alpha=.5)\n", "\n", "plt.subplot(2, 2, 4)\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.text(0.5, 0.5, 'subplot(2,2,4)', ha='center', va='center',\n", " size=20, alpha=.5)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Otros gráficos" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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fkL0I7wLQ4g/j+qsvlt9W0IX5RuzatUtPP/2sunW7X7Nnz841z/mXX35RsfAI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qXwj+JcvmyIVcvlwgDu5WfXj1ycSB3yQoXz53ZW2SOHf9JgKkQML7jaxBBFTWyvDHHx/L+edY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\nYH36ldOzwf9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.random.rand(1000)\n", "y = np.random.rand(1000)\n", "size = np.random.rand(1000) * 50\n", "colour = np.random.rand(1000)\n", "plt.scatter(x, y, size, colour)\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.mlab as mlab\n", "\n", "# example data\n", "mu = 100 # mean of distribution\n", "sigma = 15 # standard deviation of distribution\n", "x = mu + sigma * np.random.randn(10000)\n", "\n", "num_bins = 50\n", "# the histogram of the data\n", "n, bins, patches = plt.hist(x, num_bins, normed=1, facecolor='green', alpha=0.5)\n", "# add a 'best fit' line\n", "y = mlab.normpdf(bins, mu, sigma)\n", "plt.plot(bins, y, 'r--')\n", "plt.xlabel('Smarts')\n", "plt.ylabel('Probability')\n", "plt.title(r'Histogram of IQ: $\\mu=100$, $\\sigma=15$')\n", "\n", "# Tweak spacing to prevent clipping of ylabel\n", "plt.subplots_adjust(left=0.15)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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9X5/200cA3/XTAqzip5cAn/DTxwNH+unfA/v56S8Al/vpPwLvxSVH3AF8F/fd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\nW0uOKCfWkJaAThu60sY83fb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# fake data\n", "np.random.seed(937)\n", "data = np.random.lognormal(size=(37, 4), mean=1.5, sigma=1.75)\n", "labels = list('ABCD')\n", "fs = 10 # fontsize\n", "\n", "# demonstrate how to toggle the display of different elements:\n", "fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(6, 6))\n", "axes[0, 0].boxplot(data, labels=labels)\n", "axes[0, 0].set_title('Default', fontsize=fs)\n", "\n", "axes[0, 1].boxplot(data, labels=labels, showmeans=True)\n", "axes[0, 1].set_title('showmeans=True', fontsize=fs)\n", "\n", "axes[0, 2].boxplot(data, labels=labels, showmeans=True, meanline=True)\n", "axes[0, 2].set_title('showmeans=True,\\nmeanline=True', fontsize=fs)\n", "\n", "axes[1, 0].boxplot(data, labels=labels, showbox=False, showcaps=False)\n", "axes[1, 0].set_title('Tufte Style \\n(showbox=False,\\nshowcaps=False)', fontsize=fs)\n", "\n", "axes[1, 1].boxplot(data, labels=labels, notch=True, bootstrap=10000)\n", "axes[1, 1].set_title('notch=True,\\nbootstrap=10000', fontsize=fs)\n", "\n", "axes[1, 2].boxplot(data, labels=labels, showfliers=False)\n", "axes[1, 2].set_title('showfliers=False', fontsize=fs)\n", "\n", "for ax in axes.flatten():\n", " ax.set_yscale('log')\n", " ax.set_yticklabels([])\n", "\n", "fig.subplots_adjust(hspace=0.4)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ¿Más ejemplos?\n", "\n", "Mira la [galeria de matplotlib](http://matplotlib.org/gallery.html)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "" ], "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Este css es trabajo de @LorenaABarba y su grupo\n", "from IPython.core.display import HTML\n", "css_file = '../css/personal.css'\n", "HTML(open(css_file, \"r\").read())" ] } ], "metadata": { "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }