{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Examples of plotting (multi-)colored lines" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting multi-colored lines may be achieved using `LineCollection`.\n", "These examples use a more simple interface by introducing a function `colorline`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "# %config InlineBackend.figure_format = 'retina' # Use for retina display resolution" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.kernel.zmq.pylab.backend_inline].\n", "For more information, type 'help(pylab)'.\n" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# Different styling for graphs (requires separate mpltools package)\n", "# from mpltools import style\n", "# style.use(\"ggplot\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Function definitions" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Topics: line, color, LineCollection, cmap, colorline, codex\n", "'''\n", "Defines a function colorline that draws a (multi-)colored 2D line with coordinates x and y.\n", "The color is taken from optional data in z, and creates a LineCollection.\n", "\n", "z can be:\n", "- empty, in which case a default coloring will be used based on the position along the input arrays\n", "- a single number, for a uniform color [this can also be accomplished with the usual plt.plot]\n", "- an array of the length of at least the same length as x, to color according to this data\n", "- an array of a smaller length, in which case the colors are repeated along the curve\n", "\n", "The function colorline returns the LineCollection created, which can be modified afterwards.\n", "\n", "See also: plt.streamplot\n", "'''\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.collections import LineCollection\n", "from matplotlib.colors import ListedColormap, BoundaryNorm\n", "\n", "\n", "# Data manipulation:\n", "\n", "def make_segments(x, y):\n", " '''\n", " Create list of line segments from x and y coordinates, in the correct format for LineCollection:\n", " an array of the form numlines x (points per line) x 2 (x and y) array\n", " '''\n", "\n", " points = np.array([x, y]).T.reshape(-1, 1, 2)\n", " segments = np.concatenate([points[:-1], points[1:]], axis=1)\n", " \n", " return segments\n", "\n", "\n", "# Interface to LineCollection:\n", "\n", "def colorline(x, y, z=None, cmap=plt.get_cmap('copper'), norm=plt.Normalize(0.0, 1.0), linewidth=3, alpha=1.0):\n", " '''\n", " Plot a colored line with coordinates x and y\n", " Optionally specify colors in the array z\n", " Optionally specify a colormap, a norm function and a line width\n", " '''\n", " \n", " # Default colors equally spaced on [0,1]:\n", " if z is None:\n", " z = np.linspace(0.0, 1.0, len(x))\n", " \n", " # Special case if a single number:\n", " if not hasattr(z, \"__iter__\"): # to check for numerical input -- this is a hack\n", " z = np.array([z])\n", " \n", " z = np.asarray(z)\n", " \n", " segments = make_segments(x, y)\n", " lc = LineCollection(segments, array=z, cmap=cmap, norm=norm, linewidth=linewidth, alpha=alpha)\n", " \n", " ax = plt.gca()\n", " ax.add_collection(lc)\n", " \n", " return lc\n", " \n", " \n", "def clear_frame(ax=None): \n", " # Taken from a post by Tony S Yu\n", " if ax is None: \n", " ax = plt.gca() \n", " ax.xaxis.set_visible(False) \n", " ax.yaxis.set_visible(False) \n", " for spine in ax.spines.itervalues(): \n", " spine.set_visible(False) " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 1: Sine wave colored by time (uses the defaults for colorline)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Sine wave colored by time\n", "\n", "x = np.linspace(0, 4.*np.pi, 1000)\n", "y = np.sin(x)\n", "\n", "fig, axes = plt.subplots()\n", "\n", "colorline(x, y)\n", "\n", "plt.xlim(x.min(), x.max())\n", "plt.ylim(-1.0, 1.0)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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S8ipui/XuhloY62NuqJvlmTE8Nek73/4OW1kLJmceBFcJj4j17kZL6OJ++dJF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\nkF0YPzR6pg99+cOr+JLO0nC8sEsyOEq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K4LEQvPcpqGXLLl++TGJi4sBjp9PJ0aNDHOOS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\nSZKkECSTuyRJUgj6PyV1ZFpmDpW+AAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2: Different colors for shifted sine waves" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Shifting a sine wave: Example modified from mpltools by Tony S Yu\n", "\n", "x = np.linspace(0, 4.*np.pi, 1000)\n", "y = np.sin(x)\n", "\n", "fig, axes = plt.subplots()\n", "\n", "N = 10\n", "for i in xrange(N):\n", " color = i / float(N)\n", " shift = 0.2 * i\n", " colorline(x-shift, y, color, cmap=\"cool\")\n", " \n", "plt.xlim(x.min(), x.max())\n", "plt.ylim(-1.0, 1.0)\n", "plt.show() " ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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L8FYOPgVsw1TIAt94hNf0k2alEci9A/hUaBT+ou799F+A7QcnB5F+qNoAI4ehuKgI3R+H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hFyWY/0BKi5YLE8fgTQvuXDYVBtDWB+0DkvX1BM0sC3YZDP7yQ21yxzTWLAven1P2A2qkDjdL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\nq4E5v4a4F8J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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 3: A polar function, plotted with a custom colored dash style" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Polar function:\n", "\n", "max_t = 6*np.pi\n", "theta = np.linspace(0, max_t, 1000)\n", "\n", "alpha = 0.3\n", "r = 1 + alpha*np.sin(7./3. * theta)\n", "\n", "x = r * np.sin(theta)\n", "y = r * np.cos(theta)\n", "\n", "colored_dashes = [0.1]*8 + [0.5]*4 + [0.8]*2 # uses Python list syntax\n", "\n", "fig, axes = plt.subplots(figsize=(6,6))\n", "\n", "colorline(x, y, colored_dashes, cmap='jet', linewidth=8) #, [0.3]*8+[0.4]*4+[0.5]*2)\n", "\n", "plt.xlim(x.min() - 0.1, x.max() + 0.1)\n", "plt.ylim(y.min() - 0.1, y.max() + 0.1)\n", "\n", "plt.axis('equal')\n", "clear_frame()\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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7BXfCBBm3G7/ggrip/v3v/SPBQELiTM5iEKL2QkZFO7c8tDAguJYQGDITtn8o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\nzzGOGrelkUYRRQCG6UsGF3EFV13QVQ1fR2GhxpNPu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kknIkVXIpFIOhEpuhKJRNKJSNGV\nSCSSTkSKrkQikXQiUnQlEomkE5GiK5FIJJ2IFF2JRCLpRKToSiQSSSciRVcikUg6ESm6EolE0on8\nf85yLWEG8W/0AAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 4: A non-periodic Lissajous curve, colored with a continuous palette and different line widths" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Non-periodic Lissajous curve\n", "\n", "max_t = 15.\n", "t = np.linspace(0, max_t, 5000)\n", "x = np.sin(t)\n", "y = np.sin(t * np.pi)\n", "\n", "fig, axes = plt.subplots(figsize=(6,6))\n", "\n", "lc = colorline(x, y, alpha=0.75, linewidth=t, cmap='coolwarm') \n", "# We can capture the LineCollection created to modify it later, e.g.:\n", "# lc.set_rasterized = False\n", "\n", "plt.xlim(x.min() - 0.1, x.max() + 0.1)\n", "plt.ylim(y.min() - 0.1, y.max() + 0.1)\n", "\n", "# plt.colorbar() # Does not work at the moment!\n", "plt.show()\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WEGzj4AkB1hZVdXBq92Uiwujvf4RUxSY8uKaN1dK6td6HOvSaKyN03vpdkn2P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7AAAg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CnvEWfvhyG6tfPhJxsMgQpgXwwfXFWvrucFuaa9YGaIYDzi6iU77MoaIE+hXkth8XpDXiazeg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\n5RTl17+CPTi5rMRx4Z1Dcf8zuK2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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5: $\\sin(1/x)$, colored according to its derivative and plotted using logarithmic spacing" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# sin(1/x), colored according to the value of its derivative\n", "\n", "# Use logarithmic spacing so that looks better:\n", "log_x = np.linspace(np.log(0.005), np.log(0.1), 5000)\n", "x = np.exp(log_x)\n", "\n", "y = 0.9 * np.sin(1. / x)\n", "\n", "# Use finite differences to calculate the derivative of y:\n", "y_deriv = (y[1:] - y[:-1]) / (x[1:] - x[:-1]) \n", "\n", "# Create a colormap for red, green and blue:\n", "cmap = ListedColormap(['r', 'g', 'b'])\n", "\n", "# Create a 'norm' (normalizing function) which maps data values to the interval [0,1]:\n", "norm = BoundaryNorm([-1000, -200, 200, 1000], cmap.N) # cmap.N is number of items in the colormap\n", "\n", "fig, axes = plt.subplots()\n", "\n", "colorline(x, y, y_deriv, cmap=cmap, norm=norm, linewidth=100.*x)\n", "# This works even though y_deriv is a different length -- wraps around\n", "\n", "plt.xlim(x.min(), x.max())\n", "plt.ylim(-1.0, 1.0)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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FiU7Z1i9ARwds2WqRvHwWTpxY8v4yGdndh9298PzzUeH98nj3Xfjww2gJxsjH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\nPLi2uljsOOTSaj1VCAYpRuI0B1LjG+5wm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