{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introducción a la Programación en MATLAB (C5)\n", "\n", "Mauricio Tejada\n", "\n", "ILADES - Universidad Alberto Hurtado\n", "\n", "Agosto 2017\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Contenidos\n", "\n", "- [Importando y Exportando Datos](#5.-Importando-y-Exportando-Datos)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Importando y Exportando Datos" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mientras trabajamos en Matlab, todo el espacio de trabajo se encuentra guardado en la memoria RAM del computador, por lo que al cerrar el programa toda esa memoria es liberada y la información eliminada.\n", "\n", "Matlab puede guardar el espacio de trabajo u objetos particulares en diversos formatos. \n", "\n", "El formato nativo de Matlab es `.mat`. \n", "\n", "- `save nombre_archivo` guarda todos los objetos del espacio de trabajo en el archivo `nombre_archivo.mat`.\n", "- `save nombre_archivo A B C ...` guarda los objetos `A`, `B` y `C` (...) del espacio de trabajo en el archivo `nombre_archivo.mat`.\n", "\n", "Nota: Todos los archivos serán guardados en el directorio de trabajo.\n", "\n", "- `load nombre_archivo` carga todos los objetos guardados en el archivo `nombre_archivo.mat` en el espacio de trabajo." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clear all;\n", "A = rand(2,2);\n", "B = rand(5,5);\n", "\n", "save matrices;\n", "save matA A;" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Name Size Bytes Class Attributes\n", "\n", " A 2x2 32 double \n", " B 5x5 200 double\n" ] } ], "source": [ "clear all;\n", "load matrices;\n", "\n", "whos;" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Name Size Bytes Class Attributes\n", "\n", " A 2x2 32 double\n" ] } ], "source": [ "clear all;\n", "load matA;\n", "\n", "whos;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Existen situaciones en que es útil guardar la información en archivos de texto (`txt`).\n", "\n", "- `save nombre_archivo.txt A -ascii` guarda el objeto `A` en el archivo `nombre_archivo.txt`.\n", "- `load nombre_archivo.txt` carga el objeto guardado en el archivo `nombre_archivo.txt` en el espacio de trabajo.\n", "\n", "Alternativamente se puede usar también:\n", "\n", "- `dlmwrite('nombre_archivo.txt',variable)` guarda el objeto `variable`.\n", "- `variable = importdata('nombre_archivo.txt')` carga el objeto y lo guarda en el espacio de trabajo como `variable`.\n", "\n", "A modelo de ejemplo vamos a crear una matriz de tamaño $100 \\times 5$ con números aleatorios extraídos de una distribución normal con media 100 y varianza 25) y los guardaremos en formato txt." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "datos = 100 + 5*randn(100,5);\n", "save datos.txt datos -ascii;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matlab también es capaz de guardar y leer datos desde Excel.\n", "\n", "- `xlswrite('nombre_archivo.xls',variable)` guarda el objeto `variable` en el archivo `nombre_archivo.xls`.\n", "- `variable = xlsread('nombre_archivo.xls')` carga el objeto y lo guarda en el espacio de trabajo como `variable`.\n", "\n", "Al importartar datos de Excel es también posible definir la hoja y el rango específicos de los cuales los datos serán importados.\n", "\n", "- `data = xlsread('nombre_archivo.xls','sheet','range')` con `sheet` el nombre de de la hoja de cálculo y `range` el rango de datos (ejemplo A1:C4). \n", "\n", "Por ejemplo, importemos información sobre el PIB de Chile." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "datos = xlsread('PIBChile.xlsx','Datos','A2:B57');\n", "\n", "tiempo = datos(:,1);\n", "pib = datos(:,2);" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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u3Jg1a9a+ffvo1gUA8DRm3ismuuoi+jvGVlRUJCUlRUREMCUeHh55eXm+vr5b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\nKcLyIX+MAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(tiempo,pib);\n", "title('PIB Real de Chile');\n", "ylabel('Miles de Millones de Pesos Encadenados');\n", "xlabel('Año');\n", "set(gca,'FontSize',8);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ahora computemos la tasa de crecimiento:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "T = length(pib);\n", "g = ((pib(2:T,1) - pib(1:T-1,1))./pib(1:T-1,1))*100;" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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wnrgNpaKvGOg8Vrfda/4ko3tN4Qskx4wGJ/n9Eg1aTeKsPegDCGIISB6NWV0i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\nd6BgIRU0f/58pYsgC9RLdVA1kFCY4xmfBWvXrl2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(tiempo(2:T),g);\n", "title('Crecimiento del PIB Real de Chile');\n", "ylabel('Porcentaje');\n", "xlabel('Año');\n", "set(gca,'FontSize',8);" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "crecprom =\n", "\n", " 4.1616\n" ] } ], "source": [ "crecprom = mean(g)" ] } ], "metadata": { "kernelspec": { "display_name": "Matlab", "language": "matlab", "name": "matlab" }, "language_info": { "file_extension": ".m", "help_links": [ { "text": "MetaKernel Magics", "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" } ], "mimetype": "text/x-octave", "name": "matlab", "version": "0.9.4" } }, "nbformat": 4, "nbformat_minor": 1 }