{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\"AeroPython\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Introducción a la 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 importar los paquetes necesarios para trabajar." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "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": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 2, "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": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 3, "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": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plt" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot([0.0, 0.1, 0.2, 0.7, 0.9], [1, -2, 3, 4, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La función `plot` recibe una sola lista (si queremos especificar los valores *y*) o dos listas (si especificamos *x* e *y*). 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": 6, "metadata": {}, "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": 7, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(-1, 3, 100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Y representamos la función:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Función $f(x)$')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, f(x), 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": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, f(x), 'ro')\n", "plt.plot(x, 1 - f(x), 'g--')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Esto en realidad son códigos abreviados, que se corresponden con argumentos de la función `plot`:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, f(x), color='red', linestyle='', marker='o')\n", "plt.plot(x, 1 - f(x), c='g', ls='--')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La lista de posibles argumentos y abreviaturas 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": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['seaborn-whitegrid',\n", " 'seaborn-talk',\n", " 'seaborn-colorblind',\n", " 'seaborn-darkgrid',\n", " 'seaborn-deep',\n", " 'seaborn-notebook',\n", " 'seaborn-paper',\n", " 'seaborn-muted',\n", " 'seaborn',\n", " 'seaborn-ticks',\n", " '_classic_test',\n", " 'Solarize_Light2',\n", " 'ggplot',\n", " 'fivethirtyeight',\n", " 'classic',\n", " 'tableau-colorblind10',\n", " 'dark_background',\n", " 'grayscale',\n", " 'seaborn-bright',\n", " 'seaborn-dark-palette',\n", " 'seaborn-pastel',\n", " 'seaborn-poster',\n", " 'seaborn-dark',\n", " 'bmh',\n", " 'seaborn-white',\n", " 'fast']" ] }, "execution_count": 11, "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": 12, "metadata": {}, "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": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.style.context('ggplot'):\n", " plt.plot(x, f(x))\n", " plt.plot(x, 1 - f(x))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Y hay otro tipo de personalización más loca todavía:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.xkcd():\n", " plt.plot(x, f(x))\n", " plt.plot(x, 1 - f(x))\n", " plt.xlabel(\"Eje x\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "¡Nunca imitar a XKCD fue tan fácil! http://xkcd.com/353/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Otros tipo de gráficas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La función `scatter` muestra una nube de puntos, con posibilidad de variar también el tamaño y el color." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 100\n", "x = np.random.randn(N)\n", "y = np.random.randn(N)\n", "\n", "plt.scatter(x, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Con `s` y `c` podemos modificar el tamaño y el color respectivamente. 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": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "s = np.abs(50 + 50 * np.random.randn(N))\n", "c = np.random.randn(N)\n", "\n", "plt.scatter(x, y, s=s, c=c, cmap=plt.cm.Blues)\n", "plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "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](../images/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": {}, "outputs": [], "source": [ "def f(x, y):\n", " return x ** 2 - y ** 2" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-2, 2)\n", "y = np.linspace(-2, 2)\n", "xx, yy = np.meshgrid(x, y)\n", "zz = f(xx, yy)\n", "\n", "plt.contour(xx, yy, zz)\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La función `contourf` es casi idéntica pero rellena el espacio entre niveles. Podemos especificar manualmente estos niveles usando el cuarto argumento:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.contourf(xx, yy, zz, np.linspace(-4, 4, 100))\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para guardar las gráficas en archivos aparte podemos usar la función `plt.savefig`. matplotlib usará el tipo de archivo adecuado según la extensión que especifiquemos. 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": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Función coseno')" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1, 7, 1000)\n", "\n", "fig = plt.figure()\n", "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": {}, "outputs": [ { "data": { "image/png": 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H7FDqxIIDfJkyMoleLRrz0PT1zFmfaXUk5UGmrd7Ho7NT6dc6nE/vSqKhv2fMYqcFyiK/7VAD2oTz8Z1JBHnIDqVOLsjfh0/u6k3fVk3488xUZq7db3Uk5QE+Xb6Hv361iQvaRTDpjkSPmg9SC5QFpqxw7FAXtovgw9s9a4dSpxbo58PkO3szoE04j83eyBer9J5S6ux9+Msunvl6C5clRDLhtl4E+HpWW6IFqo5NWrqLv8117FAfeOAOpU4vwNebD29P5KL2ETw5ZxNTVuyxOpJyQ+8u3sEL36VxTZdo3rulJ/4+nteW1EiBEpErRWSbiOwQkSdqYp2e6N3FO3h+nmfvUKp6Any9+eC2XlyWEMnf5m7ho2W7rY6k3IQxhjcWZvDa/G1c36MZbw3rjq+H3ovsnF+ViHgD7wJXAQnAcBFJONf1ehJjDG8ucuxQg7vHePQOparP38ebd0f05KrOUTz37VYmLNlpdSTl4owxvPLDNt7+cTs3Jzbn9SHdPPpGmTXxypKAHcaYXcaYCmA6MKgG1usRjDG8Nn8bby7azk29mvPPm7t79A6lzoyfjxdvD+/BwK7RvPR9OuN/2m51JOWijDE8Py+ND5bs5JY+cbx8Q1eXvAtuTaqJoWPNgOOHI2UCff64kIiMAcYAxMXF1cBmXZ8xhhfmpTFp2W5G9Inj+UGd8fLwHUqdOV9vL94c6jiqfn1BBpU2w0OXtkVE9xXlYIzh2a+38OmKvdzZL55nrk2oF/tHTRSoE71L5n8eMGYiMBEgMTHxf37vaex2w9+/qX87lDo7Pt5eju4aL+GtH7dTYbPz2BXtdZ9R2O2Gp+Zu5otV+xh9XkuevLpjvdkvaqJAZQKxx/3cHKjXl8rb7YYn52xi+pr99W6HUmfP20t45cau+Pp48f7POymvtPP0QN136jOb3fDElxuZlZLJvRe25tF69qGlJgrUGqCtiLQEDgDDgBE1sF63ZLMbHpu9kS/XZXLfRW145PJ29WqHUufGy0t4YXBn/H28mPzrbipsNv5xnXYN10dVNjuPzt7InPUHePCStvWy2/ecC5QxpkpE7gPmA97AZGPMlnNO5oaqbHb+PDOVr1MP8ufL2vHAJW2tjqTckIjwt4EJ+Pl4MWHJLiqrDC/e0MXjT4ir/6qy2Xl4ZirfpB7kkcvacX89bUtqZH4dY8x3wHc1sS53VVFl58Hp6/l+cxaPX9mBey5sbXUk5cZEhCeu7IC/jzdvO89JvXZTVx0BWg9U2uw8MM3RljxxVQfGXVB/2xKdAK4GlFfZ+NPn61iUlsPTAxMYNaCl1ZGUBxAR/nxZO/x9vHht/jYqquy8qdfQebTyKhv3fbGehVuztS1BC9Q5K6u0MXZqCksycnlucGdu69vC6kjKw/zpojb4+3jx/Lw0Kmx2xo/oobOQeKCyShv3fJbC4m25/GNQJ25Pjrc6kuX0o9g5KK2oYuQna/hley6v3NhFi5OqNXef14p/DOrkuPPy1BTKKm1WR1I1qLSiitFT1rJ4Wy4vXt9Fi5OTFqizVFxexZ2T17ByVx7/HNKNob3rx8XHyjq3J8fz8g1dWJKRy6hP11BaUWV1JFUDCo5VcvtHq/l1x2Feu6krI/poW/IbLVBn4WhJBbd8uJKUfUd5a1gPbujZ3OpIqp4YlhTHP4d0Y8XOPO6cvIbici1S7iyvuJzhE1eSmpnP+BE9GZIYe/on1SNaoM5QVkEZN09YQVpWERNu7cW13WKsjqTqmRt6Nuft4T1I2XeUWyat4mhJhdWR1Fk4VHCMmyesYNfhYj68PZGru0RbHcnlaIE6A3vzSrjpg+UczD/Gp3clcWlCpNWRVD01sGsMH9zai7RDhdw8YQVZBWVWR1JnYM/hEm56fwXZheVMGdmHC9s3tTqSS9ICVU3pWYXc9MEKSsqrmDamL8mtm1gdSdVzlyVEMmVkEocKyrjx/eXsyi22OpKqhm1ZRQyZsILSiiq+GN2HpJZhVkdyWVqgqmHdvqMMnbASbxFmjk2ma/NGVkdSCoC+rZowfUxfyiptDPlgBZsPFFgdSZ3Chv35DJ24AgFtS6pBC9RpLN2ey62TVtEo0JdZ45JpGxlsdSSlfqdzs1BmjUsmwNebYRNXsnJXntWR1Aks3pbD8IkrCQ7wYfa4ftqWVIMWqFOYsz6Tuz5eQ1xYILPGJRMbFmh1JKVOqFVEQ2bfk0xUaAC3T17Nwq3ZVkdSx5m1dj93f7qWVhFBfHlPP+KaaFtSHVqgTsAYw3s/7+DhGan0jg9j5rhkmgYHWB1LqVOKDm3ArLHJdIwOYezUtXy2cq/Vkeo9Ywzjf9rOo7M30q91E2aM1bbkTGiB+gOb3fD03M28+sM2BnWP4dORSYQE+FodS6lqaRzkxxd3O0aFPfXvzbz0fRp2u8ffH9Ql2eyGv83dwusLMhjcPYaP7uhNQ3+dXe5M6Lt1nGMVNu6ftp5FadmMu6A1j13RXu/Do9xOkL8PE2/rxTNfb2HCkl0cOHqM14d0I8BX5++rK8cqbDw8YwM/bMli7PmtePzKDtqWnAUtUE45RWWMmZJCama+TtSo3J6PtxfPD+5MbFggL3+fTnZhGRNvS6RxkJ/V0TxedmEZo6esZdOBAv42MIGR9XxG8nOhXXzA5gMFDBr/K9uyivjg1l5anJRHEBHGXdCad4b3IHV/gV4rVQd+a0t25BQz8bZELU7nqN4XqO83HWLIB47rEmbfk8wVnaKsjqRUjbq2Wwyfj+7D0dIKBr/7K0sycq2O5JF+2OxoS7wEZo/rx2U608w5q7cFyhjD2z9u557P19EhOph/39efTjGhVsdSqlb0jg/j6/sGENOoAXd9vJqJv+zEGB08UROMMby7eAfjPvtvW5IQE2J1LI9QL89BFZdX8fiXG5m38RA39GjGizd00RPIyuPFhgXy1b39+MusVF78Lp2tBwt5+cauuu+fg6KySv4yK5X5W7K5rlsMr96k72dNqncFKiO7iHs+S2H34RKeuKoDY89vhYiOrlH1Q6CfD++O6Mm7i3fw+oIMduaW8N4tPfUi9LOQkV3EuKkp7D1SylPXdGTUgJbaltSwetXFN3fDAQaN/5WCY5V8dncfxl3QWncoVe+ICPdd3JYPb09kz+ESrnl7KfO3ZFkdy618nXqQQeN/pbCsii/u7sPd5+kH3dpQLwpUeZWNp/+9mQenb6BLs1DmPXAe/VqHWx1LKUtdlhDJvAfOIz48iLFTU/j7N1uoqLJbHcullVXa+NvczTwwbT0JMSHMe2AAfVrpnQ1qi8d38aVnFfLQ9A2kZxUx9vxWPHpFe3y860VdVuq04po45pl86bt0Pv51D+v2HuWd4T11rrgTSM8q5IFp68nILmbUgJY8fmUH/Hy0LalNYsVInsTERLN27dpa3Ybdbvh4+R5e+SGdkAAfXr2pKxd30GGfSp3MD5uzeHR2Kna74emBCQztHavdVjhG6X2yfA8vfZ9OSIAv/7y5Gxe0i7A6llsTkRRjTOLplvPII6hDBcd4dNZGlu04zKUdm/LyjV0Jb+hvdSylXNqVnaPo3CyEx2Zv5ImvNvHDlixeubErkSH1d3LTzKOlPDlnM79k5HJJh6a8elNXmmhbUmc86gjKbjd8tmovr/6wzTHp68AEhifpp0ClzoTdbpi6ci8vfZ+Gv483z16XwODuzerV39Fvbckr36djgL9e1YFb+7aoV+9BbaruEZTHFKiM7CKe+HIj6/blM6BNOC9c35kWTYJqdBtK1Se7D5fwyMwNrNuXT/82TXhuUGdaRTS0Olat25FTzF+/2siaPUc5r204L93QheaN9ZxcTao3BaqorJLxi3cwedlugvx9ePqaBG7oWb8+7SlVW2x2wxer9vLq/G2UV9oZd0Er7r2ojUdejFpYVslbi7bz6fI9BPp58/TABG7q1Vzbklrg8QXKZjfMWLOffy7YRl5JBTf2bM6TV3fQ/mGlakFOURkvfZfOnPUHaNaoAY9c3o7B3Zt5xC0k7HbDrJT9vPrDNo6UVjA0MZa/XNFez1vXIo8uUKn783n8y42kZxXRO74xTw9MoGvzRjWYUCl1Iit25vHid2lsOlBAx+gQnriqA+e3DXfLowxjDPO3ZPOvhRlsyy6iV4vGPHttJ7o01zk5a5tHj+IL8PWmrNLGe7f05KrOUW75x6GUO0pu3YS5f+rPt5sO8dr8dO6YvJqk+DDuuag1F7aLcIu/RbvdsHhbDv9alMHmA4W0igjineE9GNg12i3y1ydueQQFji4+bw/oXlDKXVVU2Zm2eh8TluzkYEEZHaNDGHdBK67qHO2SF7CWVdqYs/4AHy3bzY6cYmLDGvDgJe0Y3D1GL96vYx7dxaeUch0VVXbmbjjAB0t2sjO3hPCGfgxJjGVY71iXGEmbkV3ElymZzErJ5EhJBZ1iQhh9Xiuu6RqNrxYmS2iBUkrVKbvdsGR7Ll+s2sdP6TnY7IaklmFc1TmKKztHER3aoM6yHMg/xsItWcxZf4DUzAJ8vISLOjRlZP+W9G0Vpl15FquTAiUiQ4BngY5AkjGmWlVHC5RSni2roIxZa/fz7cZDbMsuAqB7bCPOaxtOcqsm9GzRuEaHqpeUV7Fu31FW7TrCj+k5pB0qBKBDVDBDEmMZ1D1GR+W5kLoqUB0BOzAB+IsWKKXUH+3MLeaHzVks3JrNxsx87Ab8vL1oF9WQhOgQOkaHEN8kiJhGDYhpFEBwgO8J12OMIb+0ktzicg7kH2NHdjEZ2UWkZRWSdqgIm93gJZDYIoxLE5pyScdIWteDC4vdUZ128YnIz2iBUkqdRlFZJWv2HGHVriNsPVTIloOFHCmp+N0yPl5CoJ83gX4+eHsJFTY7lTY7peU2Kmy/vx1IRLA/7SIb0iuuMYnxYfSIa3TSAqdch8sNMxeRMcAYgLi4uLrarFLKhQQH+HJxh8j/3FnAGENuUTn7jx7jYL7jq+BYJaUVNorLqzAG/HwEP28vGvj50DTYn4hgf6JCA2gT0ZDGQX4WvyJVm05boERkERB1gl/9nzFmbnU3ZIyZCEwExxFUtRMqpTyWiNA0JICmIQH0atHY6jjKxZy2QBljLq2LIEoppdTx9CIApZRSLulcR/FdD7wDRAD5wAZjzBXVeF4usPesN+wQDhw+x3XUJc1buzRv7XGnrKB5a1tN5G1hjDntbYktuVC3JojI2uqMAnEVmrd2ad7a405ZQfPWtrrMq118SimlXJIWKKWUUi7JnQvURKsDnCHNW7s0b+1xp6ygeWtbneV123NQSimlPJs7H0EppZTyYFqglFJKuSS3LlAiMkREtoiIXURcdpimiFwpIttEZIeIPGF1nlMRkckikiMim63OcjoiEisii0UkzbkfPGh1plMRkQARWS0iqc68f7c6U3WIiLeIrBeRb63OcjoiskdENonIBhFx6RmpRaSRiMwWkXTnPpxsdaaTEZH2zvf0t69CEXmo1rfrzuegzvZ2H3VJRLyBDOAyIBNYAww3xmy1NNhJiMj5QDEwxRjT2eo8pyIi0UC0MWadiAQDKcBgF35vBQgyxhSLiC+wDHjQGLPS4minJCJ/BhKBEGPMQKvznIqI7AESjTEuf+GriHwKLDXGTBIRPyDQGJNvda7TcbZpB4A+xphznXDhlNz6CMoYk2aM2WZ1jtNIAnYYY3YZYyqA6cAgizOdlDHmF+CI1TmqwxhzyBizzvl9EZAGNLM21ckZh2Lnj77OL5f+hCgizYFrgElWZ/EkIhICnA98BGCMqXCH4uR0CbCztosTuHmBchPNgP3H/ZyJCzei7kpE4oEewCprk5yas7tsA5ADLDTGuHRe4E3gMRw9Fe7AAAtEJMV5ix9X1QrIBT52dp9OEpEgq0NV0zBgWl1syOULlIgsEpHNJ/hy2aOQP5ATPObSn5rdjYg0BL4EHjLGFFqd51SMMTZjTHegOZAkIi7bjSoiA4EcY0yK1VnOQH9jTE/gKuBPzi5rV+QD9ATeN8b0AEoAlz4/DeDsirwOmFUX26uzGxaeLQ+43UcmEHvcz82BgxZl8TjOczlfAp8bY76yOk91GWPynXeivhJw1QEp/YHrRORqIAAIEZHPjDG3WpzrpIwxB53/5ojIHBxd7L9Ym+qEMoEE18y6AAAgAElEQVTM446gZ+MGBQpH4V9njMmui425/BGUB1gDtBWRls5PH8OAry3O5BGcgw4+AtKMMW9Yned0RCRCRBo5v28AXAqkW5vq5IwxfzXGNDfGxOPYb39y5eIkIkHOwTI4u8sux0WLvzEmC9gvIu2dD10CuOTgnj8YTh1174GbFygRuV5EMoFkYJ6IzLc60x8ZY6qA+4D5OE7izzTGbLE21cmJyDRgBdBeRDJFZJTVmU6hP3AbcPFxw1+vtjrUKUQDi0VkI44PLguNMS4/dNuNRALLRCQVWA3MM8b8YHGmU7kf+Ny5P3QHXrQ4zymJSCCO0ch11lPh1sPMlVJKeS63PoJSSinlubRAKaWUcklaoJRSSrkkLVBKKaVckhYopZRSLkkLlFJKKZekBUoppZRL0gKllFLKJWmBUkop5ZK0QCmllHJJWqCUUkq5JC1QSimlXJIWKKXOgIjcIiILTvB4WxFJFZEWVuRSyhPpbObKrYnIHhy3WbAd93C7325cV0cZQoG5wGhjzPa62q5Snk4LlHJrzgJ1tzFmkdVZlFI1S7v4lEcSkQudN7M8/rE9InKp8/tnRWSmiEwRkSIR2SIiicctGysiX4lIrojkich45+N3isiy45brJyJrRKTA+W+/4373s4g8JyK/OrexQETCT5F5kPOmi4UislNErnQ+HiMiX4vIERHZISKjj3tOkoisdT4nW0TeOO53fUVkuYjkO7sfL6xuNhG5zvme5DuX7XjG/wlKnSMtUKo+uw6YDjQCvgZ+K0LewLfAXiAeaOZc7ndEJAyYB7wNNAHewHFn5ybHLTYCuAtoCvgBfzlREBFJAqYAjzrznA/scf56GpAJxAA3AS+KyCXO370FvGWMCQFaAzOd62vmzPY8EObc7pciEnG6bCLSzrnNh4AI4DvgGxHxO1F2pWqLFijlCf7t/KSfLyL/PoPnLTPGfGeMsQFTgW7Ox5NwFINHjTElxpgyY8yyEzz/GmC7MWaqMabKGDMNSAeuPW6Zj40xGcaYYziKR/eTZBkFTDbGLDTG2I0xB4wx6SISCwwAHnfm2ABMwnGre4BKoI2IhBtjio0xK52P3wp853x9dmPMQmAtcHU1sg3Fcbv0hcaYSuB1oAHQD6XqkBYo5QkGG2MaOb8Gn8Hzso77vhQIEBEfIBbYa4ypOs3zY3AcZR1vL44jrpNto+FJ1hUL7DzJNo4YY4pOso1RQDsg3dnFOND5eAtgyHGFOx9HoYuuRrbfvS5jjB3Y/4fXpVSt87E6gFK1pAQI/O0HZ7ddxMkX/539QJyI+JymSB3EUQiOFwf8cCZBj9tm65NsI0xEgo8rUnHAAQDnqMHhIuIF3ADMdnYx7gemGmNGn2Cdp3MQ6PLbDyIiOArogbNYl1JnTY+glKfKwHFEdI2I+AJPAf7VfO5q4BDwsogEiUiAiPQ/wXLfAe1EZISI+IjIUCABx/mrM/URcJeIXCIiXiLSTEQ6GGP2A8uBl5w5uuI4avocQERuFZEI51FOvnNdNuAz4FoRuUJEvJ3PvVBEmlcjy0zgGmcWX+ARoNyZQ6k6owVKeSRjTAFwL47zNQdwHFFlnvJJ/32uDcd5pDbAPufzhp5guTxgII4GPA94DBhojDl8FnlX4xiw8C+gAFjCf4/OhuMYrHEQmAM84zynBHAlsEVEinEMmBjmPFe1HxgEPAnk4jiiepRq/M0bY7bhOIf1DnAYx3txrTGm4kxfl1LnQq+DUkop5ZL0CEoppZRL0gKllFLKJWmBUkop5ZK0QCmllHJJllwHFR4ebuLj463YtFJKKYulpKQcNsac9rrEGilQIjIZx3DbHGNM59MtHx8fz9q1a2ti00oppdyMiPxxBpYTqqkuvk9wXI+hlFJK1YgaOYIyxvwiIvE1sS53Zoyh8FgVWYVlZBWWkV9aQXmlnbIqG1U2Q4CvNwG+XgT6+dA0xJ/o0AAiGvrj462nApVS/2WMoai8ikP5ZRwqOEZhWRVlFTaOVdqwG4O/jzf+Pl4E+fsQGeJPZEgAEcH++HpYW1Jn56BEZAwwBiAuLq6uNltrjDHsOlzCmt1H2HKwkG1ZRWzLLqLgWOUZrcfbS4hvEkiHqBA6RAXTI64xvVo0poGfdy0lV0q5EmMMO3NLWLPnCFsPFpKe5WhPCstON1fx73l7CS3Dg2gfFUyHyGB6tWhMjzj3bktqbCYJ5xHUt9U5B5WYmGjc8RxUYVkli9NzWLg1m5W7jnC4uByAYH8f2kcF0z4qmJbhQUSGBBAZEkBYkB8Bvl4E+Hrj4yWUV9k5VmGjuLyKnKIysgrKOZh/jIzsItKzith3pBQAX2+ha/NGnN82gss7RdIhKhjHfJ1KKU9QWFbJT2k5LEr737akQ7SjLWkRFkRUaABRoQE0DvQlwNebQD8fBKiw2SmvtFNYVvmftuRAfinbsorJyP59W9KlWSgXtGvqUm2JiKQYYxJPu5wWqFMrrajiu01ZfJ16kBU7D1NpM0QE+zOgTThJLcNIahlGq/CgGvlPLyqrJGXvUVbtPsLKXXls2J+PMRAXFshVXaIY0iuWNk1PdrcGpZQrK62oYt7GQ8zbdIhfdzjakqbB/vRr3YS+rZrQp1UT4psE1khbUuhsS1bvPsKKnXmkZjrakuaNGzCwawxDEpvTOsK6tkQL1DnalFnAtDX7+GbDQYrKq2jRJJArO0VxeacoesQ2wsur9j+F5BaVsygtm/lbsli6/TA2u6FXi8bcnNicQd2bEeDrvofuStUXv7UlX284SHF5FbFhDbiqczRXdo6ie/O6a0t+TMvmhz+0JUMTY7mue0ydtyV1WqBEZBpwIRAOZOOYbfmjky3vqgXKGMPibTl8sGQXq3cfIcDXi6u7RDOsdxy94xtbemicU1TGnHUHmLF2P7tySwgL8uP25BbcnhxPWJDeiVspV2K3/9aW7GTNnqP4+3hxTddohifFkdjCNdqSWSmZ7MgppkmQH7cnx3Nbcos6a0vq/AjqTLhagbLbDd9sPMh7i3eyLbuI6NAARg1oyZDEWEIb+Fod73eMMazcdYRJS3fxY3oOAb5eDOsdx70XtaZpcIDV8ZSq1/7YlsSEBjDqvFbc1Ku5S7YlK3blMWnpbn5Kz8Hfx4vhSXXTlmiBqgZjDEsycnn1h21sPVRIu8iGjLugNdd2i3GL4Zrbs4uY+Msuvlp/AD9vL+7sH8+481sTGuhafwhKeTpjDD8725I0D2lLxp7fikaBtXNEpQXqNDZlFvD8vK2s2n2EuLBAHrm8Hdd2jamT/uCatudwCf9alMHXqQdp6O/DQ5e24/bkFm7xh6GUu9uYmc+L36Wxcpf7tyW7D5fwr4UZfLPR0ZY8fGk7bquFtkQL1EkUlFby2oJ0Pl+1jyZBfjxwSVuG9Y7Dz8f9G/O0Q4W89H06v2Tk0i6yIc9e14l+rcOtjqWUR8ovreC1+dv4YrWjLbn/4rYMT/KMtiQ9q5AX5qWxdPthR1tybSf6tam5tkQL1B8YY5iVksnL36eTX1rBHf3iefiydoQEeFZ3mDGGhVuzeW7eVvYfOcY1XaN55toEPT+lVA2x2w2z1znakoJjldzZL56HLm1LsKe3JV2cbUnIubclWqCOk3m0lMe/3MivO/Lo1aIxzw3qTEJMSJ1t3wpllTYmLNnFuz/voIGvN89cm8D1PZq5xEV6Srmr/UdKeWz2RlbsyiOxRWOeG9yZjtGe35ZM/GUX4xfvwN/HizeHdueSjpHntE4tUDg+AUxfs5/nv90KwJPXdGR47zi37Bs+Wztzi3ls9kZS9h7l4g5NeeH6zkSHNrA6llJuxRjDtNX7eWHeVkSEp67pyM2JsfWqLdl9uIS/f7OFZ67tRMvwoHNaV70vUIcKjvHY7I0s3X6Yfq2b8MqNXYkNC6zVbboqm93w6fI9vDo/HV9vL166oQsDu8ZYHUspt3Co4BiPf7mJXzJy6d/G0ZY0b1w/25KaUt0CZckNC2vboq3Z/GV2KuWVdp4b1Ilb+rSoV590/sjbSxg5oCWXdGzKQzM2cN8X61macZhnrksg0M8jdwGlaoS2JdbyqNapvMrGK99vY/Kvu+kUE8I7w3vQysL5plxNiyZBzBybzJuLMnjv552s2XuEt4f1oHOzUKujKeVSKqrsvPJDOh8tc7Ql40f0POduLXXmPKaLb29eCfd9sZ5NBwq4s188f726A/4+OlfdySzfeZiHZ2zgaEklz1yXwIikOB1AoRSOgRD3fbGO1ExtS2pLveriW7wthwemrcdLhAm39eKKTlFWR3J5/VqH88OD5/PQjA3835zNbNiXz3ODO+sEtKpeW7Q1m4dnbkCAD27tyZWdo62OVK+5dYEyxvDu4h38c2EGHaNCmHBbr3o7EOJsNA7yY/KdvXlrUQZv/7SDtKxC3r9F30NV/xhjGP/TDt5YlEHnmFDeu6Wn/h24ALe95Lm4vIp7PlvH6wsyuK5bDF/e0093qLPg7SX8+fL2TLo9kb15pVw7fhlLt+daHUupOlNSXsW9n6/jnwszGNy9GbPGJWtb4iLcskDtPlzC9e/+yoKtWTx1TUfeHNrdrW9r7AouTYjk6/sGEBkcwJ0fr2Hqij1WR1Kq1u3LK+XG95czf4ujLXnj5m7aze1C3LKL70hJOQXHKvlsVJ8anR+qvmsZHsSX9/bjwWnreXruFnbmlvDUNR3x0UlnlQdatSuPsZ+lYAx8OjKJ89pGWB1J/YHbjuIrq7TpJ51aYrMbXvwujY+W7ebC9hG8M7yHx80zpuq3uRsO8OisjcSGNeCjO3oTr0PI61R1R/G57UdjLU61x9tLeHpgAi9c35ml2w9z0/sryDxaanUspc7ZbwOrHpy+gR5xjfjqnv5anFyY2xYoVftu6dOCT+9K4mDBMa5/bzlbDxZaHUmps1Zps/PEl5t4bf42BnePYcqoJL25p4vTAqVOaUDbcL66px8+XsLQCStYvvOw1ZGUOmNFZZWM/GQNM9bu5/6L2/Cvod314ls3oAVKnVbbyGC+urcf0Y0CuHPyGr7deNDqSEpV2+HicoZNXMmKnXm8emNXHrm8vc6a4ia0QKlqiQ5twKyx/egWG8r909bzya+7rY6k1GntP1LKkA9WsDO3mA/vSOTm3rFWR1JnQAuUqrbQQF+mjurDZR0jefabrbzyQzpWjAJVqjoysou46YPl5BWX8/ndfbiofVOrI6kzpAVKnZEAX2/ev7UXI/rE8f7PO/nrV5uw2bVIKdeybt9RhnywAmNg5rhkerUIszqSOgtueaGuspa3l/DC4M6EBfoxfvEOSipsvHFzN3z1gl7lApZk5DJuagpNQ/z5bFQfnbbIjWmBUmdFRPjLFe0J8vfhlR/SOVZRxfgRPfX6NGWpbzce5OEZG2jTNJhPR/amaXCA1ZHUOdCPvOqc3HNha54b1IlFaTmM/GQNJeVVVkdS9dTslEwemLae7rGNmD6mrxYnD6AFSp2z25LjeePmbqzclcetH62ioLTS6kiqnvli1T4enZ1Kv9bhTBnZh9AGegGuJ9ACpWrEDT2b894tPdl8oIBhH67kcHG51ZFUPfHJr7t5cs4mLmwXwaQ7EvXOBh5EC5SqMVd2jmbSHb3ZfbiYmyesIKugzOpIysNNWLKTZ7/ZyhWdIplwW6KeA/UwWqBUjbqgXQRTRvYhu6CMYRNXcDD/mNWRlId6+8ftvPR9OgO7RjN+RE/8fLQ58zT6P6pqXFLLMKaM6kNecQVDJ65g/xGdCV3VHGMMr8/fxhsLM7ihZzPeGtZDL3HwUPq/qmpFrxaNmXp3HwpKKxk2cSX78rRIqXNnjOGFeWmMX7yD4UmxvH5TN7y9dF49T6UFStWa7rGN+GJ0X0oqqrh5wgp2Hy6xOpJyY3a74W9ztzBp2W7u7BfPi9d3wUuLk0fTAqVqVedmoXxxd18qbHaGTljBjpxiqyMpN2SzG56cs4mpK/cy5vxWPHNtgs5IXg/USIESkStFZJuI7BCRJ2pincpzJMSEMG10X+zGMGziCjKyi6yOpNxIlc3Oo7NSmb7GcS+nv17VQYtTPXHOBUpEvIF3gauABGC4iCSc63qVZ2kfFcz0Mcl4iTBs4kq9O6+qlkqbnYdmbOCr9Qd45LJ2ei+neqYmjqCSgB3GmF3GmApgOjCoBtarPEybpg2ZMTYZP28vRkxayeYDBVZHUi6sosrO/V+s59uNh3jy6g7cf0lbqyOpOlYTBaoZsP+4nzOdj/2OiIwRkbUisjY3N7cGNqvcUcvwIGaM7UuQnw8jPlxJ6v58qyMpF1ReZePez9fxw5Ys/jYwgTHnt7Y6krJATRSoEx1v/88NgowxE40xicaYxIiIiBrYrHJXLZoEMX1MX0IDfbl10ipS9h61OpJyIWWVNsZNTWFRWjbPDerEyAEtrY6kLFITBSoTOP4+ys2BgzWwXuXBYsMCmTEmmbCGftz+0SpW7z5idSTlAo5V2Bg9ZS0/Z+Ty0g1duC053upIykI1UaDWAG1FpKWI+AHDgK9rYL3Kw8U0asCMMclEhgZwx+TV/LrjsNWRlIVKK6oY+ckalu04zKs3dmV4UpzVkZTFzrlAGWOqgPuA+UAaMNMYs+Vc16vqh6jQAGaMSSYuLJC7PlnD4m05VkdSFigur+LOyWtYtTuPN27uxpDE2NM/SXm8GrkOyhjznTGmnTGmtTHmhZpYp6o/IoL9mTamL22bNmTMlLUs2JJldSRVh4rKKrlj8mpS9h3lrWE9uL5Hc6sjKRehM0kolxAW5McXd/elU0wo936+jm836mnM+qDgWCW3frSa1P35jB/eg2u7xVgdSbkQLVDKZYQG+jJ1VBI94hrxwLT1zFmfaXUkVYvySyu4ZdJKth4s4P1be3FVl2irIykXowVKuZTgAF8+HZlE31ZN+PPMVKav3md1JFUL8orLGf7hKjKyi5l4WyKXJURaHUm5IC1QyuUE+vkw+c7enN82gie+2sSUFXusjqRq0KGCY87Z7YuZdHsiF3VoanUk5aK0QCmXFODrzcTbe3FZQqTjFgtLd1kdSdWAfXmlDPlgBdmF5UwZ2Yfz2+lF++rktEApl+Xv4817t/Tkmi7RPD8vjfE/bbc6kjoH27OLuOmD5ZSUV/HF6D4ktQyzOpJycT5WB1DqVHy9vXhrWHf8fbx4fUEGxeU2Hr9SZ7R2N5syC7h98ip8vL2YMTaZdpHBVkdSbkALlHJ5Pt5evD6kG4H+3nywZCdHSyp44frO+HhrB4A7WLPnCCM/XkNIA18+v7sP8eFBVkdSbkILlHILXl7Cc4M6Exbkz9s/bif/WAVvDetBgK+31dHUKfySkcuYqWuJadSAz+/uQ3RoA6sjKTeiH0GV2xAR/nxZO565NoH5W7K56+M1FJVVWh1LncTcDQcY9ekaWoY3ZObYZC1O6oxpgVJu567+LXlzaHfW7DnCiA9Xcbi43OpI6g8mLd3Fg9M30KtFY2aM7Ut4Q3+rIyk3pAVKuaXBPZrx4e2JbM8p4uYPVpB5tNTqSAqw2w0vzNvK8/PSuLpLFJ/clURIgK/VsZSb0gKl3NZFHZry2ag+HC4u5/r3lust5C1WUWXn4Zkb+HDpbu5IbsE7w3vqOUJ1TrRAKbeWGB/G7Hv64eftxc0TVvBjWrbVkeql4vIqRn26hrkbDvLYle159rpOeHvppQDq3GiBUm6vXWQwc+7tR6uIIEZPWcvUFXusjlSvZB4t5ab3l7N8Zx6v3dSVey9so9epqRqhBUp5hKYhjhsfXtyhKU/P3cIL87ZitxurY3m89fuOMvjd5RzIP8Ynd/XWGw2qGqUFSnmMIH8fJtyWyB3JLfhw6W7u/XwdJeVVVsfyWN+kHmToxJUE+nkz595+nNdW59VTNUsLlPIo3l7Cs9d14umBCSzYmsWN7y9nX56O8KtJxhjeWrSd+6etp3vzRvz7T/1p01SnLlI1TwuU8jgiwqgBLfnkriQOFZRx3bvLWLb9sNWxPEJxeRX3fr6Ofy3K4MaezZl6dxJhQX5Wx1IeSguU8ljnt4vg6/v60zTYn9snr2LS0l0Yo+elztaOnGIGjV/Ggq3Z/N/VHXl9SFf8fXQYuao9WqCUR2vRJIiv7u3PZQmRPD8vjYdnbNDzUmfh+02HGDR+GfmllUwdlcTo81vpSD1V67RAKY/X0N+H92/pxSOXtePr1INcO34ZWw8WWh3LLVTa7Lz4XRr3fL6OtpHBfPvAAPq1Drc6lqontECpesHLS7j/krZ8fndfisuqGPzer3y2cq92+Z3C3rwSbnp/ORN/2cUtfeKYMbavTviq6pQWKFWvJLduwncPnkdyqyY89e/N/OmLdRSU6ozof/TVukyufmspuw+X8N4tPXnh+i56vknVOS1Qqt4Jb+jPx3f25omrOjB/SzaXv7mEn7flWB3LJRSUVvLQ9PX8eWYqnWJC+f6h87m6S7TVsVQ9pQVK1UteXsK4C1oz595+hAT4cufHa3jiy431+v5SC7Zkcem/lvDNxkM8fGk7po3pS7NG2qWnrKN31FX1Wtfmjfjm/gG8uWg7E3/ZydLth3nxhi5c0K7+zIqQV1zOs99s5ZvUg3SMDuHjO3vTuVmo1bGUQqw4SZyYmGjWrl1b59tV6lRS9h7l0dmp7Mot4arOUTw9MIEYDz6CsNkNM9bs57X56RSXV3H/xW2558LW+Hprx4qqXSKSYoxJPO1yWqCU+q/yKhsf/rKL8Yt3IAgPXNKWUQNa4ufjWY12yt6jPPv1FjYdKCCpZRjPDepM+yidrkjVDS1QSp2D/UdK+ce3W1m4NZvYsAY8cll7rusWg5eb3+NoX14p/1qUwZz1B4gKCeDJazpybddovehW1SktUErVgCUZubzyfTpbDxXSISqYx6/swIXtI9yuQc8qKOOdn7YzY81+vL2EkQNact9FbQjy19PQqu5Vt0Dp3qnUKVzQLoLz2oTzzcaD/HNBBnd9soYuzUIZe0Erruoc7fJ3jd1zuISPlu1m5tr92OyG4Ulx3HdxGyJDAqyOptRp6RGUUtVUUWXny3WZTPxlF7sPlxAXFsjI/vFc36M5oYG+Vsf7D2MMq3cfYfKvu1mwNRtfLy+u79GMP13UhrgmgVbHU0q7+JSqLTa7YeHWLD5YsosN+/Px9/Hi6i7RDO0dS1J8mGXnqbIKyvhyXSazUzLZfbiE0Aa+3Na3Bbf3a0HTYD1iUq6jTgqUiAwBngU6AknGmGpVHS1QylNsPlDA9DX7mLv+IEXlVTQN9ufyTpFc0SmKvq2a1PqQ7f1HSpm/JYsFW7NZu+cIdgNJLcO4OTGWq7tEEeinvfjK9dRVgeoI2IEJwF+0QKn66liFjQVbs/hhcxY/b8vlWKWNQD9verVoTN9WTUhs0ZgO0SGENjj7rsAqm509eaWk7s9n9e4jrNqdxx7n3YI7RAVzeUIk1/dsTsvwoJp6WUrVijoZJGGMSXNu7FxWo5Tba+DnzaDuzRjUvRnHKmws3Z7L0u2HWbU7j9fmb/vPcs0aNaBtZEOiQxsQFRJAZIg/gf4+NPD1JsDXiyqboazSRlmVjbziCrIKysgqLGP34RK25xRTUWUHILSBL73jw7gtOZ5LOzalRRMtSsrz1Nnxv4iMAcYAxMXF1dVmlapzDfy8ubxTFJd3igIcUwltzCwgPauI9KxCduQUsymzgLySitOuK8DXi6iQAGLDArkjuQXto0LoFBNC+8hgt78mS6nTOW2BEpFFQNQJfvV/xpi51d2QMWYiMBEcXXzVTqiUm2vS0J+LOjTlog5Nf/d4eZWN3KJyjlXYKKu0U1Zlw9fbC38fLwJ8vQkL9COkgY/2UKh667QFyhhzaV0EUaq+8ffxpnljHfat1Ml41gRjSimlPMY5FSgRuV5EMoFkYJ6IzK+ZWEoppeo7Sy7UFZFcYO85riYcOFwDceqK5q1dmrf2uFNW0Ly1rSbytjDGnPama5YUqJogImurM47eVWje2qV5a487ZQXNW9vqMq+eg1JKKeWStEAppZRySe5coCZaHeAMad7apXlrjztlBc1b2+osr9ueg1JKKeXZ3PkISimllAfTAqWUUsoluXWBEpEhIrJFROwi4rLDNEXkShHZJiI7ROQJq/OciohMFpEcEdlsdZbTEZFYEVksImnO/eBBqzOdiogEiMhqEUl15v271ZmqQ0S8RWS9iHxrdZbTEZE9IrJJRDaIiEvf00dEGonIbBFJd+7DyVZnOhkRae98T3/7KhSRh2p9u+58Dups70dVl0TEG8gALgMygTXAcGPMVkuDnYSInA8UA1OMMZ2tznMqIhINRBtj1olIMJACDHbh91aAIGNMsYj4AsuAB40xKy2Odkoi8mcgEQgxxgy0Os+piMgeINEY4/IXvorIp8BSY8wkEfEDAo0x+VbnOh1nm3YA6GOMOdcJF07JrY+gjDFpxphtp1/SUknADmPMLmNMBTAdGGRxppMyxvwCHLE6R3UYYw4ZY9Y5vy8C0oBm1qY6OeNQ7PzR1/nl0p8QRaQ5cA0wyeosnkREQoDzgY8AjDEV7lCcnC4BdtZ2cQI3L1Buohmw/7ifM3HhRtRdiUg80ANYZW2SU3N2l20AcoCFxhiXzgu8CTyGo6fCHRhggYikOO9B56paAbnAx87u00ki4i53nRwGTKuLDbl8gRKRRSKy+QRfLnsU8gcnupmPS39qdjci0hD4EnjIGFNodZ5TMcbYjDHdgeZAkoi4bDeqiAwEcowxKVZnOQP9jTE9gauAPzm7rF2RD9ATeN8Y0wMoAVz6/DSAsyvyOmBWXWyvzu6oe7Y84H5UmUDscT83Bw5alMXjOM/lfAl8boz5yuo81WWMyReRn4ErAVcdkNIfuE5ErgYCgBAR+cwYc6vFuU7KGHPQ+W+OiMzB0cX+i7WpTigTyDzuCHo2blCgcBT+dcaY7LrYmMsfQXmANUBbEWnp/PQxDPja4kwewTno4CMgzQnq3iQAAAEYSURBVBjzhtV5TkdEIkSkkfP7BsClwP+3d8coEUNRFIb/0+oCRLCwm9beTsHCHVhMZasLcAPuRAR7QRG0EQS7EQR7LVyEcC2SQoRJOXkZ/q9MdYsHJ7nvQD7GnWq5qrqoqp2q2qU7t48th1OSzb4sQ78uO6LR8K+qb+Azyax/dAg0We7554QVrfdg4gE1hf9RVdUPcAbc013i31TV+7hTLZfkGngBZkm+kpyOPdOAfWAOHPypvx6PPdSAbeApyRvdi8tDVTVf3Z6QLeA5yQJ4BW6r6m7kmYacA1f9edgDLkeeZ1CSDbo28so2FZOumUuS1tekv6AkSevLgJIkNcmAkiQ1yYCSJDXJgJIkNcmAkiQ1yYCSJDXpFyIN/cLmz3w/AAAAAElFTkSuQmCC\n", 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" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig.tight_layout()\n", "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)$$\n", "\n", "Siendo $f_1$ y $f_2$ argumentos de entrada (por defecto $10$ y $100$) y $t \\in [0, 0.5]$. Además, debe mostrar:\n", "\n", "* leyenda,\n", "* título \"Dos frecuencias\",\n", "* eje x \"Tiempo ($t$)\"\n", "\n", "y usar algún estilo de los disponibles." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def frecuencias(f1=10.0, f2=100.0):\n", " max_time = 0.5\n", " times = np.linspace(0, max_time, 1000)\n", " signal = np.sin(2 * np.pi * f1 * times) + np.sin(2 * np.pi * f2 * times)\n", " with plt.style.context(\"ggplot\"):\n", " plt.plot(signal, label=\"Señal\")\n", " plt.xlabel(\"Tiempo ($t$)\")\n", " plt.title(\"Dos frecuencias\")\n", " plt.legend()\n", "\n", "frecuencias()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Ejercicio**\n", "\n", "Representar las curvas de nivel de esta función:\n", "\n", "$$g(x, y) = \\cos{x} + \\sin^2{y}$$\n", "\n", "Para obtener este resultado:\n", "\n", "![Ejercicio](../images/ejercicio_contour.png)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Función $g(x, y) = \\\\cos{x} + \\\\sin^2{y}$')" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "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": [ "## 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", "####

¡Síguenos en Twitter!\n", "
\n", "###### Follow @AeroPython \n", "
\n", "###### Este notebook ha sido realizado por: Juan Luis Cano, y Álex Sáez \n", "
\n", "##### \"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": [ "---\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": null, "metadata": {}, "outputs": [], "source": [ "# Esta celda da el estilo al notebook\n", "from IPython.core.display import HTML\n", "css_file = '../styles/aeropython.css'\n", "HTML(open(css_file, \"r\").read())" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 1 }