{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\"AeroPython\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Clase 2b: Visualización con matplotlib" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_Después de estudiar la sintaxis de Python y empezar a manejar datos numéricos de manera un poco más profesional, ha llegado el momento de visualizarlos. Con la biblioteca **matplotlib** podemos crear gráficos de muy alta calidad y altamente personalizables._\n", "\n", "_matplotlib es una biblioteca muy potente que requiere tiempo de práctica para dominarla. Vamos a empezar por lo más sencillo._" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ¿Qué es matplotlib?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Estándar *de facto* para visualización en Python\n", "* Pretende ser similar a las funciones de visualización de MATLAB\n", "* Diferentes formas de usarla: interfaz `pyplot` y orientada a objetos" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lo primero que vamos a hacer es activar el modo *inline* - de esta manera las figuras aparecerán automáticamente incrustadas en el notebook." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Importamos los paquetes necesarios:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La biblioteca matplotlib es gigantesca y es difícil hacerse una idea global de todas sus posibilidades en una primera toma de contacto. Es recomendable tener a mano la documentación y la galería (http://matplotlib.org/gallery.html#pylab_examples):" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import HTML\n", "HTML('')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Si hacemos clic en cualquiera de las imágenes, accedemos al código fuente que la ha generado (ejemplo: http://matplotlib.org/examples/pylab_examples/annotation_demo.html):" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "HTML('')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interfaz pyplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La interfaz `pyplot` proporciona una serie de funciones que operan sobre un *estado global* - es decir, nosotros no especificamos sobre qué gráfica o ejes estamos actuando. Es una forma rápida y cómoda de crear gráficas pero perdemos parte del control." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Función `plot`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "El paquete `pyplot` se suele importar bajo el alias `plt`, de modo que todas las funciones se acceden a través de `plt.`. La función más básica es la función `plot`:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plt" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAXUAAAEACAYAAABMEua6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAFCJJREFUeJzt3XuQnXV9x/HPF5ZUKBAuodpA2lQGKzIWCEhRp/aorQ2O\n", "XAShYhtM7TjO1FYGwUtSOiwzhbYDttbplAFtbekYqQSkoETuB6EiJcmGRkkw3KYgbRFEpq06XPbb\n", "P85ZONmc3X3OeS6/y/N+zex4dvfwnK9nkw8Pn9/z/NbcXQCAPOwWegAAQHUIdQDICKEOABkh1AEg\n", "I4Q6AGSEUAeAjFQS6ma2u5lNmdkNVRwPADCeqs7Uz5b0gCQuegeAgEqHupkdIundkr4gyUpPBAAY\n", 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Naturalmente si especificamos dos listas ambas tienen que tener la misma longitud." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La tarea más habitual a la hora de trabajar con matplotlib es representar una función. Lo que tendremos que hacer es definir un dominio y evaluarla en dicho dominio. Por ejemplo:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ f(x) = e^{-x^2} $$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def f(x):\n", " return np.exp(-x ** 2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Definimos el dominio con la función `np.linspace`, que crea un vector de puntos equiespaciados:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x = np.linspace(-1, 3, 100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Y representamos la función:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEgCAYAAACn50TfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", 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label=\"Función f(x)\")\n", "plt.xlabel(\"Eje $x$\")\n", "plt.ylabel(\"$f(x)$\")\n", "plt.legend()\n", "plt.title(\"Función $f(x)$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notamos varias cosas:\n", "\n", "* Con diversas llamadas a funciones dentro de `plt.` se actualiza el gráfico *actual*. Esa es la forma de trabajar con la interfaz pyplot.\n", "* Podemos añadir etiquetas, y escribir $\\LaTeX$ en ellas. Tan solo hay que encerrarlo entre signos de dólar $$.\n", "* Añadiendo como argumento `label` podemos definir una leyenda." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Personalización" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La función `plot` acepta una serie de argumentos para personalizar el aspecto de la función. Con una letra podemos especificar el color, y con un símbolo el tipo de línea." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEACAYAAABI5zaHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xl8VOX1+PHPIeyIgLIjKkQKKIv4VYhQIbVAWOrW1oWK\n", "ikiLVQhWfqJlqXGjKl8RiBu1KBW+KFaRIhEIoiECBrSyRULYXAiLIiKLhiXJ8/sjExwms2dm7p07\n", "5/168XKWhzvHqznz5DznPleMMSillHKWalYHoJRSKvI0uSullANpcldKKQfS5K6UUg6kyV0ppRxI\n", "k7tSSjlQwOQuIq+IyDcistnPmBkisl1ENopIt8iGqJRSKlTBzNxfBQb4elNEBgEXGWPaAX8CXoxQ\n", "bEoppcIUMLkbYz4CDvkZci3wL9fYtUBDEWkWmfCUUkqFIxI191bAbrfnRcB5ETiuUkqpMEVqQVU8\n", "nuueBkopZaHqETjGHqC12/PzXK+dQUQ04SulVBiMMZ4T6IAiMXNfBNwOICIpwA/GmG+8DTTG2P7P\n", "ww8/HPPPnNC/PwZO/3nY7fEEH48f9vLc/RgrgfEer41PTmbl4sWOP59OjNHJcf7j039w6UuX0nRK\n", 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está disponible en la documentación de la función `plot` http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.plot." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Más personalización, pero a lo loco" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Desde matplotlib 1.4 se puede manipular fácilmente la apariencia de la gráfica usando **estilos**. Para ver qué estilos hay disponibles, escribiríamos `plt.style.available`." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "['pybonacci',\n", " 'grayscale',\n", " 'ggplot',\n", " 'dark_background',\n", " 'fivethirtyeight',\n", " 'bmh']" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plt.style.available" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No hay muchos pero podemos crear los nuestros. Para activar uno de ellos, usamos `plt.style.use`. ¡Aquí va el que uso yo! https://gist.github.com/Juanlu001/edb2bf7b583e7d56468a" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#plt.style.use(\"ggplot\") # Afecta a todos los plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
No he sido capaz de encontrar una manera fácil de volver a la apariencia por defecto en el notebook. A ver qué dicen los desarrolladores (https://github.com/ipython/ipython/issues/6707) ¡pero de momento si quieres volver a como estaba antes toca reiniciar el notebook!
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para emplear un estilo solo a una porción del código, creamos un bloque `with plt.style.context(\"STYLE\")`:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEECAYAAADJSpQfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xl8VNX9//HXuZM9mSwTEkII+05QCUQRQVlDFWVT4etS\n", "rdLFam2tfuvPivVbWkptq1K11bZWlLbWtiiyqYhsgoKiYakQ9lXCkkAm+57c8/sjikQg68zcOzOf\n", "5+ORhwlzZ+bNNflwcu85n6O01hohhBABzbA6gBBCCO+TYi+EEEFAir0QQgQBKfZCCBEEpNgLIUQQ\n", "kGIvhBBBIKS5A1544QW2bdtGbGwsTz/99AWPefnll9m+fTvh4eHcd9999OjRw+NBhRBCtF2zI/sx\n", "Y8Ywa9asiz6+detW8vLyeO655/je977HSy+91KI3zsnJaXlKC0lOz/KHnP6QESSnpwV6zmaL/YAB\n", "A4iOjr7o49nZ2YwaNQqAPn36UF5eTlFRUbNvHOgn1tckp+f4Q0aQnJ4W6Dnbfc3e7XaTmJh49uvE\n", "xETcbnd7X1YIIYQHeeQGrXRcEEIIe1Mt6Y2Tn5/Pb3/72wveoH3xxRdJT09nxIgRAPz4xz9m9uzZ\n", 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Falling back to Bitstream Vera Sans\n", " (prop.get_family(), self.defaultFamily[fontext]))\n" ] }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEPCAYAAAC5sYRSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXl4E9XXx79p06ZJmqUbLSCLouwoKC6ACojrTxRQVARl\n", "EZRdQBFlkwIKLiCyuSEIigqCCogLILIqKi8IKqBssrelTZu0abYmmfePw0xauqRNMjNJej/PkyfT\n", "Zjr39GbmO2fuPfccBcdxHBgMBoMRVcTIbQCDwWAwQg8TdwaDwYhCmLgzGAxGFMLEncFgMKIQJu4M\n", "BoMRhTBxZzAYjCjEr7g7nU688cYb6Nu3L+bMmVPlfpMnT8aNN96IMWPGoKioKKSGMhgMBqP6+BV3\n", "t9uNuLg4NGnSBPv27at0v3nz5iEnJwc7duyARqPByy+/HFJDGQwGg1F9FNVdxPTll19i7dq1+Pzz\n", "zyv8vG3btli5ciVat26NvLw8tGnTBllZWSE1lsFgMBjVQxmqA505cwaNGjUCAKSmpqKoqAhOpxMq\n", "lSpUTciG1+uFzWaDyWRCbm4uiouLYbfbYbVaYTKZYLFY4HA44HK54HQ64XA4UFJSApvNhqKiItjt\n", "drjdbni9Xni9XuG4CoUCSqUSsbGxiI2NhUqlgk6ng16vh1qtRmJiIgwGAxITE6HT6aDT6aDVapGc\n", "nIyMjAwkJycjJiZ6pk2Ki4thNpthsVhQWFiI/Px8WCwW2Gw22Gw2OBwOWK1WWCwWFBcXw2q1wmaz\n", 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Para el color, a cada valor numérico se le asigna un color a través de un *mapa de colores*; ese mapa se puede cambiar con el argumento `cmap`. Esa correspondencia se puede visualizar llamando a la función `colorbar`." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAWEAAAEACAYAAABiV8coAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXVYVGkXwH/v0BaloCig2N3YyBprYXd319qrq67dtdaq\n", "u+pa2K7dgWJhd2GhIAqKQTPM3O8PXD4R0GFmSO/vee7zOPetcwXOnHve854jJElCRkZGRiZ1UKS2\n", "ADIyMjI/MrISlpGRkUlFZCUsIyMjk4rISlhGRkYmFZGVsIyMjEwqIithGRkZmVREJyUshDAVQngJ\n", "IW4IIe4JIWbqSzAZGRmZHwGha5ywECKTJElhQghD4CwwUpKks3qRTkZGRiaDo7M7QpKksM//NAYM\n", "gCBd55SRkZH5UdBZCQshFEKIG8Ab4JQkSfd0F0tGRkbmx0AflrBakqQyQB7ARQjhqrNUMjIyMj8I\n", "hvqaSJKkj0KIA0AFwOO/+0IIOTmFjIyMxkiSJHQZn1Sdo+t6uqKTEhZCZAeiJUn6IIQwA+oCk7/u\n", "l96SBE2aNIlJkyalthgak97kBVnmlCC9yQsghH70oWnZwRr1i7i+RC/r6YKulnAuYJ0QQkGMa2OD\n", 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"display_data" } ], "source": [ "plt.scatter(x, y, s=s, c=c, cmap=plt.cm.Oranges)\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "matplotlib trae por defecto muchos mapas de colores. En las SciPy Lecture Notes dan una lista de todos ellos (http://scipy-lectures.github.io/intro/matplotlib/matplotlib.html#colormaps)\n", "\n", "![matplotlib colormaps](../static/plot_colormaps.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La función `contour` se utiliza para visualizar las curvas de nivel de funciones de dos variables y está muy ligada a la función `np.meshgrid`. Veamos un ejemplo:\n", "\n", "$$f(x) = x^2 - y^2$$" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def f(x, y):\n", " return x ** 2 - y ** 2" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAWEAAAEACAYAAABiV8coAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd4lEXXh+9J7wESepUuIAJSFSQUlSqgqKCgiIq9vL5+\n", "ltcC2Ds2VERBigoigqggPaIgHQLSmxBaIL1nk935/piNhJCEJM8829j7uvZKe/KbYdn8ntk5c84R\n", "Ukq8ePHixYtz8HH2BLx48eLlUsZrwl68ePHiRLwm7MWLFy9OxGvCXrx48eJEvCbsxYsXL07Ea8Je\n", "vHjx4kQMmbAQor4QYrUQYpcQ4m8hxGOlXPeREOKAECJOCNHeyJhevHjx4kyEEEFCiA1CiO1CiN1C\n", "iDeM6PkZnE8+8B8p5XYhRBiwRQixXEq5p8iEBwBNpZTNhBBdgM+ArgbH9eLFixenIKXMFUL0klJm\n", 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Podemos especificar manualmente estos niveles usando el cuarto argumento:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEACAYAAABI5zaHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJztvXu8ZVdV5/sdJKlTVamENGISgSARQUDxmhiTfFBMqSDh\n", "IQ+fpH0gKnKhUdpGDY/uNtg+QuMLRLzIQ/EF0oB0uIIQbQql1WBICIEkF8JDCZCEBklSqUpVJRn3\n", "j7XWOXPPPR9jrjXX3usU6/f5nM/Ze84xH3vtvX9r7N8cc0xRVWbMmDFjxtGFe6x7AjNmzJgxoz5m\n", "cp8xY8aMoxAzuc+YMWPGUYiZ3GfMmDHjKMRM7jNmzJhxFGIm9xkzZsw4CjGI3EXkNBF5j4h8REQ+\n", "LCI/G7F7uYh8TESuEpEzhow5Y8aMGVOAiBwjIleKyNsj9UHeE5HzReS6tu5Cp/xeInKpiHxURN4t\n", "IicNmd9Qz/0I8HOq+vXAucB/EJGHugYi8jjga1X1QcBPA78/cMwZM2bMmAKeC1wDLG0WivGeiBwD\n", "vAI4H3gYcIHDmc8HLlXVBwN/2z7vjUHkrqo3quoH28f7gWuB+3hmTwRe39pcBpwkIqcMGXfGjBkz\n", 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Veremos esto con más detalle cuando hablemos de la interfaz orientada a objetos." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Varias figuras" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podemos crear figuras con varios sistemas de ejes, pasando a `subplot` el número de filas y de columnas." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAXoAAAEKCAYAAAAcgp5RAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm81eP2wPHPatZAGqSSuiji5hZupQxHRKUBkTKEe3/G\n", "a8icDIWL67r3SjKESuIqIkpI6KRwSyWiQmmeNQ/ScNbvj/WN47TPOfucfc7+fvc+6/167Vd7+O79\n", "XadTaz/f51nP84iq4pxzLn2VCjsA55xzxcsTvXPOpTlP9M45l+Y80TvnXJrzRO+cc2nOE71zzqU5\n", "T/SuxBKRLSLSIMdzpUTkbRG5IpyonCt64nX0LipEZBFwELAneEqBRqq6KokxPASsVNWByTqnc8XN\n", 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"plt.subplot(211)\n", "plt.plot(x, np.sin(x))\n", "plt.grid(False)\n", "plt.title(\"Función seno\")\n", "\n", "plt.subplot(212)\n", "plt.plot(x, np.cos(x))\n", "plt.grid(False)\n", "plt.title(\"Función coseno\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
¿Cómo se ajusta el espacio entre gráficas para que no se solapen los textos? Buscamos en Google \"plt.subplot adjust\" en el primer resultado tenemos la respuesta http://stackoverflow.com/a/9827848
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Como hemos guardado la figura en una variable, puedo recuperarla más adelate y seguir editándola." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAasAAAEaCAYAAACvh3i9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm8lfP2wPHPapIGkpIGpFkUhZCLI0nSYCbcDFdyKbOL\n", "RLmZ3XDJ0A2RoRKlIrdBnQo/lauJBpImKikaHEN11u+P9cSRfU57n33OeZ6993q/XvvVHp59nlWd\n", "c9b+fp/1XV9RVZxzzrkoKxV2AM4559zueLJyzjkXeZ6snHPORZ4nK+ecc5Hnyco551zkebJyzjkX\n", "eZ6snCtGIrJFROru8lwpERkjIpeHE5VzqUd8nZXLJCKyHNgP2BE8pUAjVV1bgjHcB6xR1YEldU7n\n", "Up0nK5dRROQr4G+qOiXsWJxz8fNpQOewEZeInJLncT8ReTm4X1dEckWkm4isEJH1ItI7z7GlRKS3\n", "iCwVkc0i8rGI1A5eyxWResH9vUVkqIh8G5zvThGR4LXLROR9EXlERDaKyDIRaV9AvLeJyOrgfItF\n", "pE3wvIjI7UEs34nICBHZJ86/xx4i8riIfB3cHhORckX7L+1c4XiycplIYjynwS3v410dDzQCTgHu\n", 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"fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
Si queremos manipular la figura una vez hemos abandonado la celda donde la hemos definido, tendríamos que utilizar la interfaz orientada a objetos de matplotlib. Es un poco lioso porque algunas funciones cambian de nombre, así que en este curso no la vamos a ver. Si te interesa puedes ver los notebooks de la primera edición, donde sí la introdujimos.\n", "\n", "https://github.com/AeroPython/Curso_AeroPython/releases/tag/v1.0
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Ejercicio**\n", "\n", "Crear una función que represente gráficamente esta expresión:\n", "\n", "$$\\sin(2 \\pi f_1 t) + \\sin(2 \\pi f_2 t)$$\n", "\n", "Siendo $f_1$ y $f_2$ argumentos de entrada (por defecto $10$ y $100$) y $t \\in [0, 0.5]$. Además, debe mostrar:\n", "\n", "* leyenda,\n", "* título \"Dos frecuencias\",\n", "* eje x \"Tiempo ($t$)\"\n", "\n", "y usar algún estilo de los disponibles." ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAYcAAAElCAYAAAAPyi6bAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXmUHNV9NvzU1sv01MwwAiEQn2NZ4Bcx8cFSiB0DRiBb\n", "Do4d1qDz5sMJfPYBIgGGLDgYvOdzMGBjDNhgRwZsPscOdmwMcYCXEMxqQwSSD4wXITYjgZCQNDM9\n", "vdR6vz+qbvWtu1T3bD3do37O4aDp6qXqV7d+y/NbrkYIIeihhx566KEHBvp8n0APPfTQQw+dh55x\n", "6KGHHnroQUDPOPTQQw899CCgZxx66KGHHnoQ0DMOPfTQQw89COgZhx566KGHHgT0jEMPCxKf/OQn\n", "cfDBB0PXdXz3u9+d79NpC37+859D13W89tpr830qPSwAaL0+hx5mG+eee26ikE3TxODgII488kic\n", "csopuPDCC9HX1zenv//kk0/iPe95D+6++268613vwsDAAAqFwpz+ZifA8zzs27cPBx10EDRNm+/T\n", "6aHL0YscepgTnHDCCdi5cyd+//vf4+c//znOPvts3HTTTVi1ahV27do1p7/9/PPPQ9d1fPjDH8bi\n", 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"cell_type": "code", "execution_count": 68, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAXUAAAGNCAYAAADuPOG8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXVYVcv3h9+hGxQBEcHu7u7u7u7uxrp2d9c177X72t3d\n", "rdgCiqDSfeb3xwG/6CX2Bryiv/M+z3mUc6b2ic+eWbPWGiGlRIcOHTp0/B7o/ewB6NChQ4eO5EMn\n", "6jp06NDxG6ETdR06dOj4jdCJug4dOnT8RuhEXYcOHTp+I3SirkOHDh2/ETpR16FDh47fCIOfPQAd\n", "OnSoRwiRDcgL5Af2Sylv/uQh6Ugh6GbqOn44QohMydSOoxDCLDna+g2oC7gDc4GhP3ksOlIQOlH/\n", "f4QQ4r4Qonwsz6cRQtwSQhT4AX1mBkomU3MfgeHJ1NYvjZRynpTyKuAMvPzZ49GRctCJ+k9ECPFK\n", "CBEkhPCPevgJIdL+qP6klHmllGe/G4MBsA7oJaW88wO67SGl3JwcDUkpI4ADQoj2ydFeSkQIoSeE\n", "cFOxumkETPmRY9Lxa6ET9Z+LBOpKKS2jHlZSyvf/6QCkjJBS1pVSXk7utqNm/u+Ss00p5TWganK2\n", "+aMRQvRRWlZKqQGGoeB9E0LUBxYCTokfnY7fDZ2op0CEEJoos0X03+uEEJNi/P1KCDFECHFHCPFF\n", 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"NTQ0NKoRmlPX0NDQqEb8HwxDbc3Ga5YHAAAAAElFTkSuQmCC\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def g(x, y):\n", " return np.cos(x) + np.sin(y) ** 2\n", "\n", "# Necesitamos muchos puntos en la malla, para que cuando se\n", "# crucen las líneas no se vean irregularidades\n", "x = np.linspace(-2, 3, 1000)\n", "y = np.linspace(-2, 3, 1000)\n", "\n", "xx, yy = np.meshgrid(x, y)\n", "\n", "zz = g(xx, yy)\n", "\n", "# Podemos ajustar el tamaño de la figura con figsize\n", "fig = plt.figure(figsize=(6, 6))\n", "\n", "# Ajustamos para que tenga 13 niveles y que use el colormap Spectral\n", "# Tenemos que asignar la salida a la variable cs para luego crear el colorbar\n", "cs = plt.contourf(xx, yy, zz, np.linspace(-1, 2, 13), cmap=plt.cm.Spectral)\n", "\n", "# Creamos la barra de colores\n", "plt.colorbar()\n", "\n", "# Con `colors='k'` dibujamos todas las líneas negras\n", "# Asignamos la salida a la variable cs2 para crear las etiquetas\n", "cs = plt.contour(xx, yy, zz, np.linspace(-1, 2, 13), colors='k')\n", "\n", "# Creamos las etiquetas sobre las líneas\n", "plt.clabel(cs)\n", "\n", "# Ponemos las etiquetas de los ejes\n", "plt.xlabel(\"Eje x\")\n", "plt.ylabel(\"Eje y\")\n", "plt.title(r\"Función $g(x, y) = \\cos{x} + \\sin^2{y}$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### El truco final: componentes interactivos" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No tenemos mucho tiempo pero vamos a ver algo interesante que se ha introducido hace poco en el notebook: **componentes interactivos**." ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAYcAAAElCAYAAAAPyi6bAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXuUJFWVN/o7kRH5qKyoqq6G7gb6Ki3goild2D2IoyAv\n", "7RkcHUQY+n6zcAaWXsHmIYzzoQg+GOdjQFEGAQWdFhz5UAfnKoIO8DEM8hAFgW4u1qhN8xBopBu6\n", 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"6eCFF17Apk2bUs23QIFhUFgOBVY8DMPAtddei3/4h3/AVVddBcdxsHbtWvzpn/5p4t/xlgIhRPj5\n", "nHPOwRe/+MWQrXTRRRcBACzLwmc+8xncfvvt2LdvH1avXo2rrroqEnRmOO+88/DpT38anU4HpVIJ\n", "9XodY2Nj+PGPf4yZmRkAwJNPPomZmZmCxlpgpCiS4AoUSAndORX//M//jMnJSbz//e9X/v6zn/0s\n", "rrjiCqxbt07LeAUKDILCcihQ4Ahjx44dib+//vrrRzSTAgV6KGIOBQoUKFAggsKtVKBAgQIFIigs\n", "hwIFChQoEEEhHAoUKFCgQASFcChQoECBAhEUwqFAgQIFCkRQCIcCBQoUKBBBIRwKFChQoEAEhXAo\n", "UKBAgQIRFMKhQIECBQpE8P8DOytXBdByl9MAAAAASUVORK5CYII=\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.html.widgets import interactive\n", "\n", "interactive(frecuencias, f1=(10.0,200.0), f2=(10.0,200.0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Referencias" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Guía de matplotlib para principiantes http://matplotlib.org/users/beginner.html\n", "* Tutorial de matplotlib en español http://pybonacci.org/tag/tutorial-matplotlib-pyplot/\n", "* Referencia rápida de matplotlib http://scipy-lectures.github.io/intro/matplotlib/matplotlib.html#quick-references" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "Clase en vídeo, parte del [Curso de Python para científicos e ingenieros](http://cacheme.org/curso-online-python-cientifico-ingenieros/) grabado en la Escuela Politécnica Superior de la Universidad de Alicante." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import YouTubeVideo\n", "\n", "YouTubeVideo(\"h-rXAfqddHE\", width=560, height=315, list=\"PLGBbVX_WvN7bMwYe7wWV5TZt1a58jTggB\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Si te ha gustado esta clase:\n", "\n", "Tweet\n", "\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "####

¡Síguenos en Twitter!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Follow @AeroPython " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### \"Licencia
Curso AeroPython por Juan Luis Cano Rodriguez y Alejandro Sáez Mollejo se distribuye bajo una Licencia Creative Commons Atribución 4.0 Internacional." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "_Las siguientes celdas contienen configuración del Notebook_\n", "\n", "_Para visualizar y utlizar los enlaces a Twitter el notebook debe ejecutarse como [seguro](http://ipython.org/ipython-doc/dev/notebook/security.html)_\n", "\n", " File > Trusted Notebook" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "Follow @AeroPython\n", "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%html\n", "Follow @AeroPython\n", "" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "El estilo se ha aplicado =)\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Esta celda da el estilo al notebook\n", "from IPython.core.display import HTML\n", "css_file = '../static/styles/style.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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }