{ "metadata": { "name": "", "signature": "sha256:ade74f6abe4851e1e20cbe32d1c3ad2d7c442952bdc9f632fb1b3c7fa364b561" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Test to generate 10 graphs (with randomly created colors) and plot them all on the same graph." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import math" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_large(*args, **kwargs):\n", " fig = plt.figure()\n", " fig.set_size_inches(14,8)\n", " plt.plot(*args, **kwargs)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "import random\n", "def random_color():\n", " \"\"\" Randomly generate colors in the form #aaccff. \"\"\"\n", " return '#' + ''.join([random.sample(list('abcdef'), 1)[0] for i in range(6)])\n", "\n", "def flatten(lst):\n", " return [item for sublist in lst for item in sublist]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "# The domain\n", "t = np.arange(0, 10, .1)\n", "\n", "# Generate graphs for y = a*x (for x in range(10))\n", "graphs = [[a * x for x in t] for a in range(10)]\n", "\n", "# Generate [t, graph, color] triplets\n", "graph_data = [[t, graph, random_color()] for graph in graphs]\n", "\n", "# Flatten list of lists to pass to plot as *args\n", "flattened_graph_data = flatten(graph_data)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_large(*flattened_graph_data)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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DAAMAADKDnssAwSU69FuiRYABAACpN9pzeaZydTuzTyZHg4vklMvs22La2N8yGwQYAACQ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\nuSJqoj1lcSsyt81h2gxNYImnLKgHpjCyWoJVKZk1zyv6Q4W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