{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# matplotlib - 2D and 3D plotting in Python" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adapted by John Jasa (johnjasa@umich.edu) from work by J.R. Johansson (jrjohansson at gmail.com)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# This line configures matplotlib to show figures embedded in the notebook, \n", "# instead of opening a new window for each figure. More about that later. \n", "# If you are using an old version of IPython, try using '%pylab inline' instead.\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib is an excellent 2D and 3D graphics library for generating scientific figures. Some of the many advantages of this library include:\n", "\n", "* Easy to get started\n", "* Support for $\\LaTeX$ formatted labels and texts\n", "* Great control of every element in a figure, including figure size and DPI. \n", "* High-quality output in many formats, including PNG, PDF, SVG, EPS, and PGF.\n", "* GUI for interactively exploring figures *and* support for headless generation of figure files (useful for batch jobs).\n", "\n", "One of the key features of matplotlib that I would like to emphasize, and that I think makes matplotlib highly suitable for generating figures for scientific publications is that all aspects of the figure can be controlled *programmatically*. This is important for reproducibility and convenient when one needs to regenerate the figure with updated data or change its appearance. \n", "\n", "More information at the Matplotlib web page: http://matplotlib.org/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To get started using Matplotlib in a Python program, either include the symbols from the `pylab` module (the easy way):" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pylab import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "or import the `matplotlib.pyplot` module under the name `plt` (the tidy way):" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import matplotlib\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MATLAB-like API" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The easiest way to get started with plotting using matplotlib is often to use the MATLAB-like API provided by matplotlib. \n", "\n", "It is designed to be compatible with MATLAB's plotting functions, so it is easy to get started with if you are familiar with MATLAB.\n", "\n", "To use this API from matplotlib, we need to include the symbols in the `pylab` module: " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pylab import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A simple figure with MATLAB-like plotting API:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x = np.linspace(0, 5, 10)\n", "y = x ** 2" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcec0743a90>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure()\n", "plot(x, y, 'r')\n", "xlabel('x')\n", "ylabel('y')\n", "title('title')\n", "show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most of the plotting related functions in MATLAB are covered by the `pylab` module. For example, subplot and color/symbol selection:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcec069a550>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "subplot(1,2,1)\n", "plot(x, y, 'r--')\n", "subplot(1,2,2)\n", "plot(y, x, 'g*-');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The good thing about the pylab MATLAB-style API is that it is easy to get started with if you are familiar with MATLAB, and it has a minumum of coding overhead for simple plots. \n", "\n", "However, I'd encourrage not using the MATLAB compatible API for anything but the simplest figures.\n", "\n", "Instead, I recommend learning and using matplotlib's object-oriented plotting API. It is remarkably powerful. For advanced figures with subplots, insets and other components it is very nice to work with. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The matplotlib object-oriented API" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The main idea with object-oriented programming is to have objects that one can apply functions and actions on, and no object or program states should be global (such as the MATLAB-like API). The real advantage of this approach becomes apparent when more than one figure is created, or when a figure contains more than one subplot. \n", "\n", "To use the object-oriented API we start out very much like in the previous example, but instead of creating a new global figure instance we store a reference to the newly created figure instance in the `fig` variable, and from it we create a new axis instance `axes` using the `add_axes` method in the `Figure` class instance `fig`:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebe19d590>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # left, bottom, width, height (range 0 to 1)\n", "\n", "axes.plot(x, y, 'r')\n", "\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although a little bit more code is involved, the advantage is that we now have full control of where the plot axes are placed, and we can easily add more than one axis to the figure:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebdb846d0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "\n", "axes1 = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # main axes\n", "axes2 = fig.add_axes([0.2, 0.5, 0.4, 0.3]) # inset axes\n", "\n", "# main figure\n", "axes1.plot(x, y, 'r')\n", "axes1.set_xlabel('x')\n", "axes1.set_ylabel('y')\n", "axes1.set_title('title')\n", "\n", "# insert\n", "axes2.plot(y, x, 'g')\n", "axes2.set_xlabel('y')\n", "axes2.set_ylabel('x')\n", "axes2.set_title('insert title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we don't care about being explicit about where our plot axes are placed in the figure canvas, then we can use one of the many axis layout managers in matplotlib. My favorite is `subplots`, which can be used like this:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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UVUG3bqHx79EjdlXSRLsMAHe/eSc/W5DbckSkYC1bFm7aPn8+HHxwaPy/+c3YVclu0FpA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\nSSJNogAQaSQz24O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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebdb8d550>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots()\n", "\n", "axes.plot(x, y, 'r')\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title('title');" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd93ea90>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(nrows=1, ncols=2)\n", "\n", "for ax in axes:\n", " ax.plot(x, y, 'r')\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", " ax.set_title('title')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That was easy, but it isn't so pretty with overlapping figure axes and labels, right?\n", "\n", "We can deal with that by using the `fig.tight_layout` method, which automatically adjusts the positions of the axes on the figure canvas so that there is no overlapping content:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebdbeb410>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(nrows=1, ncols=2)\n", "\n", "for ax in axes:\n", " ax.plot(x, y, 'r')\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", " ax.set_title('title')\n", " \n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure size, aspect ratio and DPI" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib allows the aspect ratio, DPI and figure size to be specified when the `Figure` object is created, using the `figsize` and `dpi` keyword arguments. `figsize` is a tuple of the width and height of the figure in inches, and `dpi` is the dots-per-inch (pixel per inch). To create an 800x400 pixel, 100 dots-per-inch figure, we can do: " ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd967fd0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8,4), dpi=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same arguments can also be passed to layout managers, such as the `subplots` function:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebdc30e50>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(figsize=(12,3))\n", "\n", "axes.plot(x, y, 'r')\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Saving figures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To save a figure to a file we can use the `savefig` method in the `Figure` class:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "fig.savefig(\"filename.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we can also optionally specify the DPI and choose between different output formats:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "fig.savefig(\"filename.png\", dpi=200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### What formats are available and which ones should be used for best quality?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib can generate high-quality output in a number formats, including PNG, JPG, EPS, SVG, PGF and PDF. For scientific papers, I recommend using PDF whenever possible. (LaTeX documents compiled with `pdflatex` can include PDFs using the `includegraphics` command). In some cases, PGF can also be good alternative." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Legends, labels and titles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have covered the basics of how to create a figure canvas and add axes instances to the canvas, let's look at how decorate a figure with titles, axis labels, and legends." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure titles**\n", "\n", "A title can be added to each axis instance in a figure. To set the title, use the `set_title` method in the axes instance:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ax.set_title(\"title\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Axis labels**\n", "\n", "Similarly, with the methods `set_xlabel` and `set_ylabel`, we can set the labels of the X and Y axes:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Legends**\n", "\n", "Legends for curves in a figure can be added in two ways. One method is to use the `legend` method of the axis object and pass a list/tuple of legend texts for the previously defined curves:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ax.legend([\"curve1\", \"curve2\", \"curve3\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The method described above follows the MATLAB API. It is somewhat prone to errors and unflexible if curves are added to or removed from the figure (resulting in a wrongly labelled curve).\n", "\n", "A better method is to use the `label=\"label text\"` keyword argument when plots or other objects are added to the figure, and then using the `legend` method without arguments to add the legend to the figure: " ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ax.plot(x, x**2, label=\"curve1\")\n", "ax.plot(x, x**3, label=\"curve2\")\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The advantage with this method is that if curves are added or removed from the figure, the legend is automatically updated accordingly.\n", "\n", "The `legend` function takes an optional keyword argument `loc` that can be used to specify where in the figure the legend is to be drawn. The allowed values of `loc` are numerical codes for the various places the legend can be drawn. See http://matplotlib.org/users/legend_guide.html#legend-location for details. Some of the most common `loc` values are:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "<matplotlib.legend.Legend at 0x7fcebd7eaa10>" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax.legend(loc=0) # let matplotlib decide the optimal location\n", "ax.legend(loc=1) # upper right corner\n", "ax.legend(loc=2) # upper left corner\n", "ax.legend(loc=3) # lower left corner\n", "ax.legend(loc=4) # lower right corner\n", "# .. many more options are available" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following figure shows how to use the figure title, axis labels and legends described above:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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il8/5+NeX/2L8h+M5kHOABtUaMOOGGVza7FKvS5MQUjCISLHW7VrHLbNu4bO0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\n1WsHkE+fRT59Fvk2bNjQvCT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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd80b810>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=\"y = x**2\")\n", "ax.plot(x, x**3, label=\"y = x**3\")\n", "ax.legend(loc=2); # upper left corner\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Formatting text: LaTeX, fontsize, font family" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure above is functional, but it does not (yet) satisfy the criteria for a figure used in a publication. First and foremost, we need to have LaTeX formatted text, and second, we need to be able to adjust the font size to appear right in a publication.\n", "\n", "Matplotlib has great support for LaTeX. All we need to do is to use dollar signs encapsulate LaTeX in any text (legend, title, label, etc.). For example, `\"$y=x^3$\"`.\n", "\n", "But here we can run into a slightly subtle problem with LaTeX code and Python text strings. In LaTeX, we frequently use the backslash in commands, for example `\\alpha` to produce the symbol $\\alpha$. But the backslash already has a meaning in Python strings (the escape code character). To avoid Python messing up our latex code, we need to use \"raw\" text strings. Raw text strings are prepended with an '`r`', like `r\"\\alpha\"` or `r'\\alpha'` instead of `\"\\alpha\"` or `'\\alpha'`:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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NqFO+KfWrNOXsGnWo1cSIvajwL/+YGF2EJhLpwjE4TmlFWgp/XnBJ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\nAAAASUVORK5CYII=\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd846450>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$', fontsize=18)\n", "ax.set_ylabel(r'$y$', fontsize=18)\n", "ax.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also change the global font size and font family, which applies to all text elements in a figure (tick labels, axis labels and titles, legends, etc.):" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Update the matplotlib configuration parameters:\n", "matplotlib.rcParams.update({'font.size': 18, 'font.family': 'serif'})" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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OOCEWV+7VGWNMGWTmZDL4/cEkpSdxSatLmH75dLdLCqpwC6B4nCHU3QvuFJEI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\nPaPnj+b7pO8BuKXLLTzX7zn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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd80b3d0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$')\n", "ax.set_ylabel(r'$y$')\n", "ax.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A good choice of global fonts are the STIX fonts: " ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Update the matplotlib configuration parameters:\n", "matplotlib.rcParams.update({'font.size': 18, 'font.family': 'STIXGeneral', 'mathtext.fontset': 'stix'})" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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PMcYEjZFzRvLtrm9pVK0Rn9z0CRFhEW6XFPQKc/bXkkK+1pfA3rMrxxhjgsOU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\nWKyqd7lYnjFFZrMUG+MSEakHLAZeU9W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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd035e90>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$')\n", "ax.set_ylabel(r'$y$')\n", "ax.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or, alternatively, we can request that matplotlib uses LaTeX to render the text elements in the figure:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [], "source": [ "matplotlib.rcParams.update({'font.size': 18, 'text.usetex': True})" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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HcMsrtwAANvx0A2acPsPiiuzF/4/sgoKCPf091pYn4FW1rpfNbgCVMILDXzwA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\n//r9LtsnOyYjb0beiJ90sa3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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd712a50>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$')\n", "ax.set_ylabel(r'$y$')\n", "ax.set_title('title');" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# restore\n", "matplotlib.rcParams.update({'font.size': 12, 'font.family': 'sans', 'text.usetex': False})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setting colors, linewidths, linetypes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Colors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With matplotlib, we can define the colors of lines and other graphical elements in a number of ways. First of all, we can use the MATLAB-like syntax where `'b'` means blue, `'g'` means green, etc. The MATLAB API for selecting line styles are also supported: where, for example, 'b.-' means a blue line with dots:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[<matplotlib.lines.Line2D at 0x7fcebd625910>]" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# MATLAB style line color and style \n", "ax.plot(x, x**2, 'b.-') # blue line with dots\n", "ax.plot(x, x**3, 'g--') # green dashed line" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also define colors by their names or RGB hex codes and optionally provide an alpha value using the `color` and `alpha` keyword arguments:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[<matplotlib.lines.Line2D at 0x7fcebdbcf750>]" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd80b090>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x+1, color=\"red\", alpha=0.5) # half-transparant red\n", "ax.plot(x, x+2, color=\"#1155dd\") # RGB hex code for a bluish color\n", "ax.plot(x, x+3, color=\"#15cc55\") # RGB hex code for a greenish color" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Line and marker styles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To change the line width, we can use the `linewidth` or `lw` keyword argument. The line style can be selected using the `linestyle` or `ls` keyword arguments:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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vrzQPrf/LlmQGegdyw3CkKlLfXcFwAlqUfxQSIhLw16W/MKrdKP3+Ad4BWJi0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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebdab5450>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,6))\n", "\n", "ax.plot(x, x+1, color=\"blue\", linewidth=0.25)\n", "ax.plot(x, x+2, color=\"blue\", linewidth=0.50)\n", "ax.plot(x, x+3, color=\"blue\", linewidth=1.00)\n", "ax.plot(x, x+4, color=\"blue\", linewidth=2.00)\n", "\n", "# possible linestype options ‘-‘, ‘--’, ‘-.’, ‘:’, ‘steps’\n", "ax.plot(x, x+5, color=\"red\", lw=2, linestyle='-')\n", "ax.plot(x, x+6, color=\"red\", lw=2, ls='-.')\n", "ax.plot(x, x+7, color=\"red\", lw=2, ls=':')\n", "\n", "# custom dash\n", "line, = ax.plot(x, x+8, color=\"black\", lw=1.50)\n", "line.set_dashes([5, 10, 15, 10]) # format: line length, space length, ...\n", "\n", "# possible marker symbols: marker = '+', 'o', '*', 's', ',', '.', '1', '2', '3', '4', ...\n", "ax.plot(x, x+ 9, color=\"green\", lw=2, ls='--', marker='+')\n", "ax.plot(x, x+10, color=\"green\", lw=2, ls='--', marker='o')\n", "ax.plot(x, x+11, color=\"green\", lw=2, ls='--', marker='s')\n", "ax.plot(x, x+12, color=\"green\", lw=2, ls='--', marker='1')\n", "\n", "# marker size and color\n", "ax.plot(x, x+13, color=\"purple\", lw=1, ls='-', marker='o', markersize=2)\n", "ax.plot(x, x+14, color=\"purple\", lw=1, ls='-', marker='o', markersize=4)\n", "ax.plot(x, x+15, color=\"purple\", lw=1, ls='-', marker='o', markersize=8, markerfacecolor=\"red\")\n", "ax.plot(x, x+16, color=\"purple\", lw=1, ls='-', marker='s', markersize=8, \n", " markerfacecolor=\"yellow\", markeredgewidth=2, markeredgecolor=\"blue\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Control over axis appearance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The appearance of the axes is an important aspect of a figure that we often need to modify to make a publication quality graphics. We need to be able to control where the ticks and labels are placed, modify the font size and possibly the labels used on the axes. In this section we will look at controling those properties in a matplotlib figure." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Plot range" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first thing we might want to configure is the ranges of the axes. We can do this using the `set_ylim` and `set_xlim` methods in the axis object, or `axis('tight')` for automatrically getting \"tightly fitted\" axes ranges:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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AB2Ay8CnQTESuEpFE4HEgTVWX+ZnZ5M+4ReNYu2stjSo34rJGl/kdxxyDVaCN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\nm6i2Zw+88IL72bsXROCmm+CJJ6Bu3fA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BB3D5shlr1MjkNz/1FJSR8HUZYqAFy5l1YBZT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\n4j6hKCmp8SoInk5RzEB/AqQAwUBrYI1S6qDW+nj2Jx08eJBQD22TtPn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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebda3fd10>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n", "\n", "axes[0].plot(x, x**2, x, x**3)\n", "axes[0].set_title(\"default axes ranges\")\n", "\n", "axes[1].plot(x, x**2, x, x**3)\n", "axes[1].axis('tight')\n", "axes[1].set_title(\"tight axes\")\n", "\n", "axes[2].plot(x, x**2, x, x**3)\n", "axes[2].set_ylim([0, 60])\n", "axes[2].set_xlim([2, 5])\n", "axes[2].set_title(\"custom axes range\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Logarithmic scale" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also possible to set a logarithmic scale for one or both axes. This functionality is in fact only one application of a more general transformation system in Matplotlib. Each of the axes' scales are set seperately using `set_xscale` and `set_yscale` methods which accept one parameter (with the value \"log\" in this case):" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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OS5mFqGshXpzORlSBZOuRrYyMHsm0NdNISE4AbLmXyKaRNC7X2OHonOe12YjG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\nbCxcdNHQXqucHHfqNcaY6SwUSz98AIy55Laqvg4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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebdc8db10>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10,4))\n", " \n", "axes[0].plot(x, x**2, x, np.exp(x))\n", "axes[0].set_title(\"Normal scale\")\n", "\n", "axes[1].plot(x, x**2, x, np.exp(x))\n", "axes[1].set_yscale(\"log\")\n", "axes[1].set_title(\"Logarithmic scale (y)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Placement of ticks and custom tick labels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can explicitly determine where we want the axis ticks with `set_xticks` and `set_yticks`, which both take a list of values for where on the axis the ticks are to be placed. We can also use the `set_xticklabels` and `set_yticklabels` methods to provide a list of custom text labels for each tick location:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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BSQns2AGZmc5SGwpxIiJN1No9a5m1ehaz18xmT8EeACJMBCNOHEFaShpX9L1C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\nxsQDf8S5lioKOAn4DbAR+NR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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebcd92c90>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 4))\n", "\n", "ax.plot(x, x**2, x, x**3, lw=2)\n", "\n", "ax.set_xticks([1, 2, 3, 4, 5])\n", "ax.set_xticklabels([r'$\\alpha$', r'$\\beta$', r'$\\gamma$', r'$\\delta$', r'$\\epsilon$'], fontsize=18)\n", "\n", "yticks = [0, 50, 100, 150]\n", "ax.set_yticks(yticks)\n", "ax.set_yticklabels([\"$%.1f$\" % y for y in yticks], fontsize=18); # use LaTeX formatted labels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are a number of more advanced methods for controlling major and minor tick placement in matplotlib figures, such as automatic placement according to different policies. See http://matplotlib.org/api/ticker_api.html for details." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Scientific notation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With large numbers on axes, it is often better use scientific notation:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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V3m3lSu9+61a4/fbwtqGwF2kFCksKeWb1M9y19C4+3/k5AEltkrhyxJXccNIN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\nAElFTkSuQmCC\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fcebdb1f190>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", " \n", "ax.plot(x, x**2, x, np.exp(x))\n", "ax.set_title(\"scientific notation\")\n", "\n", "ax.set_yticks([0, 50, 100, 150])\n", "\n", "from matplotlib import ticker\n", "formatter = ticker.ScalarFormatter(useMathText=True)\n", "formatter.set_scientific(True) \n", "formatter.set_powerlimits((-1,1)) \n", "ax.yaxis.set_major_formatter(formatter) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axis number and axis label spacing" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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EJNpV3Rr2kmGX0KNTD7/LUXCIiESzwrJCnvnyGcD/RvEqCg4RkSj2ytJX2FO8h7GHjGVU\nn1F+lwMoOEREopZzrvpmTdFytAEKDhGRqDVvwzyWbF1Cz049ufCoC/0up1pEg8PMJpvZF2ZWbGbP\nhkw7zcxWmFmBmX1sZv1Cpv/BzHaY2XYz+30k6xYR8UPV0cZ1o64jOSnZ52pqRPqIYyPwG+CZ4JFm\n1h2YAdwNdAMWAdODpl8PnAMMA4YDZ5vZdRGqWUQk4jblb2LGihkkWiLXj7re73JqiWhwOOfeds69\nC+wKmXQBsMw5N9M5VwrcAxxjZhmB6VcADzjnNjvnNgN/Bq6KUNkiIhH35KInKa8s57wjz+PQ9EP9\nLqeWaGnjGAosqRpwzhUC3wTG7zc98HooIiJxqLSi1NdbwzYmWoIjFdgbMi4PSKtnel5gnIhI3Jm5\nYiZbCrYwtOdQTj7sZL/L2U+S3wUEFACdQ8alA/n1TE8PjKtTdnY2WVlZ1cOZmZlkZma2RJ0iIq2u\nugtuK98aNisrq9a+ctGiRf2bsly0BMdy4MqqATNLAQYBy4KmHwMsDAyPCIyr04gRIxQUIhKTsrdk\nM2/DPDond+ay4Ze16nuFfqm+9957c5uyXKS74yaaWQcgEUgys2QzSwTeAoaa2flmlgz8Csh2zq0J\nLPoiMMXM+phZX2AK8FwkaxcRiYSqW8NePeJqUttH5xn5SLdx/BwoBO4ALg28vts5twMYB/wOr8fV\naGBC1ULOuWnAe8BSvIbxd51zT0W2dBGR1rWraBd/X/p3AG4ac5PP1dQvoqeqnHP3AvfWM20OMKSB\nZe8E7myl0kREfPfcl89RVF7EGYPOIKN7RuML+CRaelWJiLRpFZUVPL7wcQAmj5nsczUNU3CIiESB\nWd/MYt3udfTv0p8zB5/pdzkNUnCIiESBaLo1bGMUHCIiPluzcw2zvplFh6QO/Pex/+13OY1ScIiI\n+OzxL7y2jYlHT6R7p+4+V9M4BYeIiI8KSgt4Ltv7Wdrk46K7UbyKgkNExEd//+rv7C3Zy/cP/T4j\nDx7pdzlNouAQEfGJc666UTyabg3bGAWHiIhP/v3tv1m2bRm9U3oz7qhxfpfTZAoOERGfVF0F9/pR\n19M+sb3P1TSdgkNExAcb8zYyc8VMkhKSuH50dN0atjEKDhERH0xbNI0KV8H5R55Pn7Q+fpcTFgWH\niEiElZSXRPWtYRuj4BARibAZK2awbd82hvUaxon9TvS7nLApOEREIixSt4ZtLQoOEZEI+vTbT5n/\n3XzSk9O5dNilfpfTLAoOEZEI2VO8h8vfuhzwjjZS2qf4XFHzKDhERCLAOcd1711H7p5cRh08il+c\n9Au/S2o2BYeISAQ8vfhp3vj6DVLbp/Laha+RnJTsd0nNpuAQEWlly7ct59ZZtwIw7axpHN7tcJ8r\nOjAKDhGRVlRYVsj4N8dTXF7M1SOuZuKwiX6XdMCaHBxm9pCZjWjNYkRE4s3ts25n+fblHNH9CB79\nr0f9LqdFhHPEkQh8ZGbLzOwOMzuktYoSEYkHry9/nScXP0lyYjLTL5wes72oQjU5OJxztwJ9gDuB\nEcAKM5ttZleYWWprFSgiEotydudw7XvXAvDgGQ9yzEHH+FxRywmrjcM5V+Gc+4dz7hJgLNATeB7Y\nYmZPm1nfVqhRRCSmlFWUMWHGBPJK8jj/yPO5cfSNfpfUosIKDjPrbGbXmNlc4BPgc+BEYAhQAHzY\n8iWKiMSWu+fczYKNC+iX3o9nznkmJi8r0pCkps5oZm8CZ+AFxt+At51zJUHTpwB7W7xCEZEYMuub\nWfzpP38i0RJ55YJX6Nqxq98ltbgmBwfwGXCzc25LXROdc5Vm1rtlyhIRiT2b8zdzxVtXAPDrU37N\nCf1O8Lmi1tHk4HDO/bkJ8xQeWDkiIrGporKCy966jO2F2/nhwB9y5w/u9LukVqMfAIqItIA/zPsD\nc3Lm0CulFy+d/xIJFr+71/j9ZCIiETLv23n8cu4vAXjxvBc5KPUgnytqXQoOEZEDsKtoFxNnTqTC\nVfCz7/+MMw4/w++SWp2CQ0SkmZxzTHp3Et/u/Zbv9f0e9516n98lRYSCQ0SkmZ5Y+ARvrXyLzsmd\neXXcq7RLbOd3SRGh4BARaYYlW5Yw5aMpADx99tMM6DrA54oiR8EhIhKmgtICxr85npKKEq4beR0X\nDb3I75IiSsEhIhKmWz68hVU7VzG051Ae+vFDfpcTcQoOEZEwvPzVyzyf/Twdkzoy/cLpdGrXye+S\nIk7BISLSRGt2ruHG970r3T7y40cY2muozxX5Q8EhItIEJeUlTJgxgYLSAi4eejGTRk7yuyTfKDhE\nRJrgztl3snjzYgZ0GcCTZz0Zd5dKD4eCQ0SkEe+teo+HP3+YpIQkXrvwNdI7pPtdkq8UHCIiDfgu\n7zuufudqAO4/7X6O63uczxX5T8EhIlKPisoKLp15KTuLdvLjw3/MlOOn+F1SVFBwiIjU475P7uOT\n9Z9wUOpBvHDeC3F9qfRwaCuIiNThX7n/4tef/BrDePn8l+mV0svvkqKGgkNEJMSOwh1MnDmRSlfJ\nXSfexWkDT/O7pKii4BARCeKc46q3r2JT/iZOOPQE7sm8x++Soo6CQ0QkyCOfP8L7a96nS4cuvDLu\nFZISkvwuKeooOEREAhZtWsTP/vkzAJ4951n6pffzuaLopOAQEQHySvIY/+Z4yirLmDxmMucPOd/v\nkqKWgkNE2jznHDe+fyNrd69leO/h/Pn0P/tdUlRTcIhIm/fCkhd4ZekrdGrXiekXTqdDUge/S4pq\nCg4RadNW7ljJ5A8mA/D4mY9zZI8jfa4o+ik4RKTNKi4vZvyb4yksK+Sy4ZdxxTFX+F1STFBwiEib\nNfWjqXy19SsO73Y4j5/5eJu+VHo4FBwi0ibNXDGTxxc+TruEdky/cDppyWl+lxQzFBwi0uas37Oe\na969BoA//ehPjDx4pM8VxRYFh4i0KWUVZVwy4xL2FO/hrIyzuPV7t/pdUsxRcIhIm3JP1j3M/24+\nfdP68ty5z6ldoxmiKjjMLMvMiswsz8zyzWxF0LTTzGyFmRWY2cdmpmsBiEhYZq+bzf2f3k+CJfD3\nC/5Oj049/C4pJkVVcAAOuMk519k5l+acGwJgZt2BGcDdQDdgETDdvzJFJNZsLdjK5W9djsPxy5N+\nycn9T/a7pJgVbcEBUNdx4wXAMufcTOdcKXAPcIyZZUS0MhGJSZWukivfvpItBVs4+bCT+flJP/e7\npJgWjcFxv5ltM7N/m1nVV4KhwJKqGZxzhcA3gfEiIg164D8P8NHaj+jesTsvX/AyiQmJfpcU06Lt\nQvM/A74GSoFLgHfNbASQCmwLmTcPUMdrEWnQ5999zl1z7gLg+fOe55DOh/hcUeyLquBwzn0RNPii\nmU0AfgIUAJ1DZk8H8utaT3Z2NllZWdXDmZmZZGZmtmitIhL99hTvYcKMCZRXlnP72Ns5K+Msv0uK\nKllZWbX2lYsWLerflOWiKjgasBy4smrAzFKAQYHx+xkxYoSCQqSNW71zNeNeH0funlxGHTyK+0+7\n3++Sok7ol+p77703tynLRU0bh5mlm9npZpZsZolmdilwIvAh8BYw1MzON7Nk4FdAtnNutZ81i0h0\nemflO4x5agzLti3jiO5H8MZFb5CclOx3WXEjaoIDaAfch9eWsR2YDJzrnFvrnNsBjAN+B+wCRgMT\n/CpURKJTRWUFd318F+dNP4+8kjzGDRnHgmsXMKDrAL9LiytRc6oqEA7HNTB9DjAkchWJSCzZvm87\nE2dOZPa62SRYAn/44R+YevxU/TK8FURNcIiINNeCjQu48PUL2ZC3gV4pvXht3GucMuAUv8uKWwoO\nEYlZzjmeXPQkt866ldKKUsYeMpY3LnpDXW5bmYJDRGJSUVkRN31wE89nPw/A5DGTefCMB2mf2N7f\nwtoABYeIxJyc3TmMe30cX275ko5JHZl21jQuP+Zyv8tqMxQcIhJTPlzzIZfOvJTdxbsZ1HUQM8fP\nZHjv4X6X1aZEU3dcEZF6VbpK7s26l5+88hN2F+/m7IyzWXjdQoWGD3TEISJRb1fRLi5/63I+WPMB\nhnHfKffxfyf+Hwmm775+UHCISFT7cvOXjHt9HDl7cujWsRuvXPAKZxx+ht9ltWkKDhGJWi9kv8AN\n799AcXkxow4exZsXv0n/Lv39LqvNU3CISNQpKS/htlm38bdFfwNg0rGTePTMR+mQ1MHnygQUHCIS\nZTbs3cCFb1zIgo0LSE5M5q9n/pVJIyf5XZYEUXCISNT4eN3HTJgxgR2FO+iX3o8ZF89gdJ/Rfpcl\nIdQlQUR855zj95/+ntNfPp0dhTs4fdDpLLpukUIjSumIQ0R8tbd4L1e9cxVvr3wbgJ+f+HPuybxH\n9wWPYgoOEfHNsm3LuGD6BazZtYb05HReOv8lzj7ibL/LkkYoOETEF68ufZVJ702isKyQ4b2HM+Pi\nGRze7XC/y5ImUBuHiERUWUUZt826jYkzJ1JYVshlwy9j/jXzFRoxREccIhIxm/M3c9EbFzFvwzza\nJbTjoTMe4qYxN+kufTFGwSEiEfHJ+k+4+I2L2bpvK33S+vDmRW9y/KHH+12WNIOCQ0RalXOOhz97\nmP/95/9S4SrI7J/Ja+Neo3dqb79Lk2ZScIhIqykoLWDSu5OYvnw6AP/7/f/ld6f9jqQE7Xpimf71\nRKRVrNqxigtev4Cvt39NavtUnj/3ecYdNc7vsqQFKDhEpMXNXDGTq96+ivzSfIb0GMLM8TM5sseR\nfpclLUTdcUWkxZRXlnPHP+9g3OvjyC/N56KjLuLzSZ8rNOKMjjhEpEVszt/MpTMvZW7uXBItkT/+\n6I/cPvZ2dbWNQwo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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebcecc2d0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# distance between x and y axis and the numbers on the axes\n", "matplotlib.rcParams['xtick.major.pad'] = 5\n", "matplotlib.rcParams['ytick.major.pad'] = 5\n", "\n", "fig, ax = plt.subplots(1, 1)\n", " \n", "ax.plot(x, x**2, x, np.exp(x))\n", "ax.set_yticks([0, 50, 100, 150])\n", "\n", "ax.set_title(\"label and axis spacing\")\n", "\n", "# padding between axis label and axis numbers\n", "ax.xaxis.labelpad = 5\n", "ax.yaxis.labelpad = 5\n", "\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\");" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# restore defaults\n", "matplotlib.rcParams['xtick.major.pad'] = 3\n", "matplotlib.rcParams['ytick.major.pad'] = 3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Axis position adjustments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unfortunately, when saving figures the labels are sometimes clipped, and it can be necessary to adjust the positions of axes a little bit. This can be done using `subplots_adjust`:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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IGgoCkTp8zkfO9pza4Z53v3mXKt+BawOmdkrl20O+zbRh/k/9w7oPi4jTOzjn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\n6WekwgAAAABJRU5ErkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd800fd0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", " \n", "ax.plot(x, x**2, x, np.exp(x))\n", "ax.set_yticks([0, 50, 100, 150])\n", "\n", "ax.set_title(\"title\")\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "\n", "fig.subplots_adjust(left=0.15, right=.9, bottom=0.1, top=0.9);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axis grid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the `grid` method in the axis object, we can turn on and off grid lines. We can also customize the appearance of the grid lines using the same keyword arguments as the `plot` function:" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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apH4JUXf9a+W/+O3wb3SO7szzVzxvSQxVHaP1HK5Pen8H7iz5/Vmt9RHgZuAlXGf09AKG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\nUlPL1q916yC/3GXvIiNdR7D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GnrrgeDZP9evDpEmJjBp1ci6Bxk6NvJ1yWbduXazVMVTR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\nrkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fcebcfd9a50>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10,3))\n", "\n", "# default grid appearance\n", "axes[0].plot(x, x**2, x, x**3, lw=2)\n", "axes[0].grid(True)\n", "\n", "# custom grid appearance\n", "axes[1].plot(x, x**2, x, x**3, lw=2)\n", "axes[1].grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axis spines" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also change the properties of axis spines:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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, "text/plain": [ "<matplotlib.figure.Figure at 0x7fcebcf85810>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6,2))\n", "\n", "ax.spines['bottom'].set_color('blue')\n", "ax.spines['top'].set_color('blue')\n", "\n", "ax.spines['left'].set_color('red')\n", "ax.spines['left'].set_linewidth(2)\n", "\n", "# turn off axis spine to the right\n", "ax.spines['right'].set_color(\"none\")\n", "ax.yaxis.tick_left() # only ticks on the left side" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Twin axes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sometimes it is useful to have dual x or y axes in a figure; for example, when plotting curves with different units together. Matplotlib supports this with the `twinx` and `twiny` functions:" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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9tAX11luw555BR+TgOyBhm15iSX4XAaNVuQ/4MXLsd1UmAKcDuwGd4xOecy7s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\nf4/q3LhHIXIIlvAuB/YBcoA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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd729e90>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots()\n", "\n", "ax1.plot(x, x**2, lw=2, color=\"blue\")\n", "ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n", "for label in ax1.get_yticklabels():\n", " label.set_color(\"blue\")\n", " \n", "ax2 = ax1.twinx()\n", "ax2.plot(x, x**3, lw=2, color=\"red\")\n", "ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n", "for label in ax2.get_yticklabels():\n", " label.set_color(\"red\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axes where x and y is zero" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebcffef10>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.spines['right'].set_color('none')\n", "ax.spines['top'].set_color('none')\n", "\n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.spines['bottom'].set_position(('data',0)) # set position of x spine to x=0\n", "\n", "ax.yaxis.set_ticks_position('left')\n", "ax.spines['left'].set_position(('data',0)) # set position of y spine to y=0\n", "\n", "xx = np.linspace(-0.75, 1., 100)\n", "ax.plot(xx, xx**3);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Other 2D plot styles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition to the regular `plot` method, there are a number of other functions for generating different kind of plots. See the matplotlib plot gallery for a complete list of available plot types: http://matplotlib.org/gallery.html. Some of the more useful ones are show below:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n = np.array([0,1,2,3,4,5])" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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WiosXBdspY4wxxhifWfBsfFFUVMSSJYsiFgxavrMxxhhjMo8Fz8Y3RUVFFjAbY4wxJqNZ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\nsWLrCob0HkL3nO5Bd6nNQhriYO1BDh8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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebcde5190>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 4, figsize=(12,3))\n", "\n", "axes[0].scatter(xx, xx + 0.25*np.random.randn(len(xx)))\n", "axes[0].set_title(\"scatter\")\n", "\n", "axes[1].step(n, n**2, lw=2)\n", "axes[1].set_title(\"step\")\n", "\n", "axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n", "axes[2].set_title(\"bar\")\n", "\n", "axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);\n", "axes[3].set_title(\"fill_between\");" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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05ptEvr4NCZ6SAKGB57WhbVuiCROIbJUrtVrtsNMfgiA0mtc///lPCggIIMYY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\n47WNIipKv1rqwfHs30/k71/7rnv3Jqq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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebcd42410>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# polar plot using add_axes and polar projection\n", "fig = plt.figure()\n", "ax = fig.add_axes([0.0, 0.0, .6, .6], polar=True)\n", "t = np.linspace(0, 2 * np.pi, 100)\n", "ax.plot(t, t, color='blue', lw=3);" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Bo/yH/6JFi9Y2rDFmZtZnapr+Iek64Ajg9IjYVUh/i6RpSg4BvgA8EBGV0eSb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\nk4NqMzMzM7M6Oag2MzMzM6vT/wMTMwvEt/VAeAAAAABJRU5ErkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd477890>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# A histogram\n", "n = np.random.randn(100000)\n", "fig, axes = plt.subplots(1, 2, figsize=(12,4))\n", "\n", "axes[0].hist(n)\n", "axes[0].set_title(\"Default histogram\")\n", "axes[0].set_xlim((min(n), max(n)))\n", "\n", "axes[1].hist(n, cumulative=True, bins=50)\n", "axes[1].set_title(\"Cumulative detailed histogram\")\n", "axes[1].set_xlim((min(n), max(n)));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Text annotation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Annotating text in matplotlib figures can be done using the `text` function. It supports LaTeX formatting just like axis label texts and titles:" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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sfGxjlq+1m9WOhJQENgzewHvb3qNn7Z5ExkfS544+7Dqzi57f9qRumbr0q98P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\ne61csXJ0rdGVbjW70fn2zlQ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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd477290>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(xx, xx**2, xx, xx**3)\n", "\n", "ax.text(0.15, 0.2, r\"$y=x^2$\", fontsize=20, color=\"blue\")\n", "ax.text(0.65, 0.1, r\"$y=x^3$\", fontsize=20, color=\"green\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figures with multiple subplots and insets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Axes can be added to a matplotlib Figure canvas manually using `fig.add_axes` or using a sub-figure layout manager such as `subplots`, `subplot2grid`, or `gridspec`:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### subplots" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd477d90>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 3)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### subplot2grid" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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NhnoauEzSHCWuJBn0XiwyaCsv54uZNStvte9VwF0kBRDfJFMAkeSb76KI2AHc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\nZmZWCh6QzMysFP4/zcjnEVUi4EsAAAAASUVORK5CYII=\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fcebcf6efd0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax1 = plt.subplot2grid((3,3), (0,0), colspan=3)\n", "ax2 = plt.subplot2grid((3,3), (1,0), colspan=2)\n", "ax3 = plt.subplot2grid((3,3), (1,2), rowspan=2)\n", "ax4 = plt.subplot2grid((3,3), (2,0))\n", "ax5 = plt.subplot2grid((3,3), (2,1))\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### gridspec" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import matplotlib.gridspec as gridspec" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5Poi73bOO2SYPbpHUdV538xpTfcbzp6f/R12+r62597UpGHM8Z/dIekLS0h7Gu0bSU5IO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\nnOtl3gf12i/veGZ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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebcf6e150>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "\n", "gs = gridspec.GridSpec(2, 3, height_ratios=[2,1], width_ratios=[1,2,1])\n", "for g in gs:\n", " ax = fig.add_subplot(g)\n", " \n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### add_axes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Manually adding axes with `add_axes` is useful for adding insets to figures:" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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KoHqDaFq+ab5rfRTKICkeydix8h97xw65mZqUFFlQEORj0aL5O/68E/Nov6Q9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\nQopBXUAkKAWLispRq4IPi+1iPYKebq1YDxUsWtf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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebce8b9d0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(xx, xx**2, xx, xx**3)\n", "fig.tight_layout()\n", "\n", "# inset\n", "inset_ax = fig.add_axes([0.2, 0.55, 0.35, 0.35]) # X, Y, width, height\n", "\n", "inset_ax.plot(xx, xx**2, xx, xx**3)\n", "inset_ax.set_title('zoom near origin')\n", "\n", "# set axis range\n", "inset_ax.set_xlim(-.2, .2)\n", "inset_ax.set_ylim(-.005, .01)\n", "\n", "# set axis tick locations\n", "inset_ax.set_yticks([0, 0.005, 0.01])\n", "inset_ax.set_xticks([-0.1,0,.1]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Colormap and contour figures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Colormaps and contour figures are useful for plotting functions of two variables. In most of these functions we will use a colormap to encode one dimension of the data. There are a number of predefined colormaps. It is relatively straightforward to define custom colormaps. For a list of pre-defined colormaps, see: http://www.scipy.org/Cookbook/Matplotlib/Show_colormaps" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [], "source": [ "alpha = 0.7\n", "phi_ext = 2 * np.pi * 0.5\n", "\n", "def flux_qubit_potential(phi_m, phi_p):\n", " return 2 + alpha - 2 * np.cos(phi_p) * np.cos(phi_m) - alpha * np.cos(phi_ext - 2*phi_p)" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [], "source": [ "phi_m = np.linspace(0, 2*np.pi, 100)\n", "phi_p = np.linspace(0, 2*np.pi, 100)\n", "X,Y = np.meshgrid(phi_p, phi_m)\n", "Z = flux_qubit_potential(X, Y).T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### pcolor" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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DkALDty66VWDr6q2oiyfLyBxrYpbL251smGXEzJjn+zUTyYYUBIf2Zdm0Y3NdAYii5muc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\n4zhOZtyIHcdxMuNG7DiOk5l/AQGFCq0Qv3ERAAAAAElFTkSuQmCC\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fcebcd7f090>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "p = ax.pcolor(X/(2*np.pi), Y/(2*np.pi), Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n", "cb = fig.colorbar(p, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### imshow" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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LiBXaCotL1gdjIVSskNKRwwJOrQiYPE5HLW2EdQB1NvSLwaChA9CSKeTr8Nip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\nTizLii0GEGJ6jWnBSmF7POtM2o4yWgjVJ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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebceb9fd0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "im = ax.imshow(Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])\n", "im.set_interpolation('bilinear')\n", "\n", "cb = fig.colorbar(im, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### contour" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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GsDIZ7HQGO5vDLZeRto2cAmXmmgj8zKEjnNzy6oTH+ZoaCc2dQ3DeHELz5hJe1EVk6WJC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\nMZJmkcIfIeh1MpwwSOQmJ3wA4Q1ahJ9NAGovJT1kKWmMseG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rCP9sf5xDFyN4nDqPrG9V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yAl7vm3EXrb74w660TFVPqR/e2Dujr4a9Bqp9yQRH85hOFGNMxA1jQPEX+yf8hnXNM0KgtS83gJ\nPfwhUjt/QXrX8yS3PYkV7SNwz7smlWXqFMIwCN77Hoypc0m8+F9kj+3G7DpH8K3vxTVl9uiuLYRq\nkB6sV/eoYEzK/nZkf4fKwgo1qMD8BF1QbwjCl2ZObY2T/UP+eVDpcKHGim67pJRkD79GctuTyHwW\n4QsSeuvv4J6ztCLXn4iQUpLe9bzayQC+tW/Fv+5to55Tmc9g9w6lxOL2o9VPR3jHtjhNSoktJaYt\nsW31vS3lJcoKAJomlD9VFFPkxi4/epD4w03KdZCKIgc6kImIyh4bRZxJCI1Aoegt/svvkznwCnY6\nQeit77thg7nepasxmqYTf+67WJFOoj/6PL6VW5RRNsrPLIRABOuRgTrlLo71FgLz/YqDDLfapQVq\nJ5zRMinvtpQScinksLS3QRR0rkWosexuVNeCNdBD4sWfkG87AYB7/q0Etzx6Q5e1SylJbX+K9N6X\nQQgCmx/Fd+udo76mjPWoTCmpUmJFXeViKsNh2ZKcaZE1LXKmTc6yMW37CnJ3AgEYhWCaW1fZFR5D\nq2i1pHB50JvnqgSDyAXIZ7E7T426EAjAs2gFwhci/vQ3yJ3cTyybIfzwh29Y0jcap1L7O39Kaudz\npN94mfSeF8i1Hia45TfLEl67HMrVU4Pur1GN7uN9yGQEzJyKQ0W7wPAMFuDhDYz7rmpS3GlpWyqX\nOZMsFLgkh9w1oApjfGGlbe0LV9ytIvNZUrt+TfqNl8C2EF4/wXvejXvRigm7dasUUjufU2RfoTRT\naeZUjnOhYEoE6hD10yvm/7SlJJO3yORN0jmV33w1CAEuTRtmxV+aDqwKbFXlty0lpqX+zVuSvGWR\nYuj5MzSBz23gc+l4XQZ6iZ3Urjo+Xwht2mKVFhjtKhQCxZVi6ygMGffMBdQ8+nGiT3yV/PnjxH/+\nbUIPffCGleoWhovAxnfgnr+c+K9+gBXpIvrjL+JZsorAXQ9XrP+xcHkQ9dOQdVMhkxhKwzWzyHgW\nGe9VD53bj/AGVVGgx6eqvq8jJgThK8VCU/lwrTwyn1OrZD6jAq5m7sqTDLfKwfaFVRn7GPjOpbTJ\nndxP8pVnsONKTM2zbA2BDQ/f0IHZIlK7XyC963lVQFYJsk/HsHvOqcW6QoVuUNiF5EySBa2lS0Qv\nYbCAz23ouHVlkV9O8E6giF/tEnKmXdg1qGrJeCY/2IPB59IJeFz43aMjfyE0RN1UpL9mqBCo4ySi\nfpqy+Ms0NozmGdS8+/dVlWrrYeK/fJzQA/9t3K3PsYRr6lzq3vcX6pne8wLZY3vInTmMb+1b8N22\nsWJpvkIIVSPiCyHlDFV3kY4hUzHFZcU6jOIJugEuX0GIz6MC9YYbNAN0veL3xBHhCyHqgG8AbwV6\ngL+SUn7/Ksd9APhjYCEQBb4P/D9SXipJaCf6sdoODwlUjahYWKhm9PhVQMQbrLg+yeXInT9O8pVn\nsHouAqA3TiO45VFcU+eM6d+dKMieOkBqxzOAkoYYDdlLKQtFLEpuGl9ICVSN0rrJWzaxTI5EJs8w\nPT3cujZocXtcesWkabXhhTKFWLWUkpxpk86bpPMWmbxFuvAlUJrpIa97VNXiwuNHm7pIBQfjvUqu\nIZuChpllGzpG4zTC7/wYsZ/+O7mT+0gVGrDcyBCGi8D6+/EuXU3i5Z8pDaLtT5PZtx3/+vvxLFld\nUcNRCKGMUW8Q6qYhLVMRfiaBzKaUK9oywYojM3HgKrVVQit8iUvF/cqEUwv/S0AGaAJWAs8IIfZJ\nKY9edpwP+BPgtcKxTwF/AfzzJUdJ69KqSVBqhZqSoB1c5QyPKll3ea+b6yTf0Upq5y/It51UwwrU\n4F/3NjzL1t7QGTjDYXZfIP7LxwElR+tZvLLsa0nbVnnLqQEARO2UsppNDEc6ZxItNJwowq1rBDwG\nAY9rTApWrgUhCuJXLp1awLIL4lg5k0xeiWYlsibuQkl9wGOU9dmFpiEaZmB7AiodMNmPzGfQmueV\nbZ26WmYSevAxYk9+jfSu59HrmvEuWVXWtSYTlA7P75E7e4zkjqexejtIPP9D1SR93dtwL7h1THY7\nQjcGi/Cg4Nkwc8pdbeaU+yefG5Lutk2HBrFzjEj4Qgg/8BvAMillGnhFCPEE8BjwV8OPlVJ+Zdh/\nO4QQ3wM2X3HNQB3ajGVAUZhqfDWipZTkL5wivev5wTRL4fHhW3Uvvts3IlzXvyp4vGBnUsSe/RaY\neTzL1uBbubnsa0nbwu46o2IuQlP+51G4cNI5k4FUjoypiL5oQYe9bjyuieGD1jVtUCUxb9nEM6op\nRs5S2ugDaY1av5uAuzzi14J1SLdXyfnm0tidJ9Fa5pedHuuevYTApneSfPlnJF74EUbTNIyGm6Op\ninvOElyzF5E9vpfUzuewIp3Ef/5t9PoWfKvvw7PojjHtXSGEGFJwvcrv5XAPSFG1lSdG9TedWPiL\ngLyU8vSwn+0H7nFw7ibg8OU/FJo+5i4ZJ5CWRe70AdJ7X8bsagNUE23v7RvxrbjnhlYbvBqklCSe\n/yF2LILRPJPg5t8cVZcvu+u08lvqLrSWeWWnqOVMi75klkzBotcEilS97ooESMcKLl2jPuCl1u8h\nmc0zkMqRt2x64hkGdI2GMhtfC7cPbeoitZjmUtgdJ9X8lhnM9d62EbP7Itmju4g/+21qf/tPKyaR\nMdEhhIZ3ySo8C24nc+Q10rtfwIp0kfjl46R2PofvjrvxLFtbtiDb6MYmQOhA5RYdJ09bEIhd9rMY\n8Ka5iEKIDwOrgN8rb2hjBzsZI3PkdTIHdww26BBeP747NuG9fSOaZ2Llzl4vZA+/Ru7MIYTbS+jB\nx8pO15NmHrvzlJIJNjxoU+aXtcDbtqQ/nSWWVu6/ItHXeN1oE5joL4cmBCGvm6DHRWIY8XfG0gTc\nBvUBT8mpnUI30KbMVw17MnHszlNoUxaURfpCCIKb343ZdR4r0kVy+1ME7/3Nkq8zmSEMA99td+G9\nZR3ZY3tI7f41drSP5NYnSO38BZ5la/EuXz/pJVOcvNEJ4PLcpRogfq0ThBDvAv4RuE9KGbn89/v2\n7eOll14a/P/mzZvZvHmzg6GUD2nb5NtOkDm0k1zrYbCVX0yva8J7xya8S1bfVK6by2EloiS3PwVA\ncMujZcslSMtUlr2ZBbdPuRvKSLlM5Ux6E5nB7majbUg/ESAKxB/wuFTj61ROZRblTeoLfVFL2VEJ\nTUdrmasyn1JR7K7TivTL2EkJl4fQg48x8P1/JXPoVTyLV+CaPr/k60x2CN3Ae8s6PEvXkGs9rHb/\n7a1k9m0ls28rxrR5eJevx7Pgtusi4PfSSy9dwpV79uyZM5rrCTlCBUrBhx8Bbim6dYQQ3wYuSCn/\n6irHPwB8C3hISrnnatd86aWX5FgTPBTyqHsukj3+BtkTe7GThY2K0HDPXYZ3+Z24Zi+6odPRnCL2\nzLfInT6Aa84ywu/4cFmuHGlbyrLPpZUS6ZQFJZO9LSX9ySyxQoqj29BoDHgnjI++kjAtm75kllRO\nSUr4XDpNIW/Ji5qUUvn00zGV7jp1Ydk+/eTO50i//iv02iZq/9tfTAp9mLGG2d1G+uCrZE/sLfRm\nVguke+FteBavxDV9wXVL6Pj0pz/96U996lN/V+75I95NKWVKCPET4O+FEB9FZem8A9hw+bFCiHuB\n7wLvuhbZjzWktDE728idOUj29EHsgd7B32k1DXiXrcWzdA16cPT53zcK8hdOkzt9AAy3Epoqh+yl\nxO45q8jecJdl2ectm+5YerBYqs6vGkWMVUA/a1okcxapQhrl8F7JQgj8Lh2fS8fv1vGNQRMeQ9do\nCftIZPP0JTKk8xYX+1M0hbwl+faFEGjNc7C7WpV7p+uMIv0yyNq/+i3kTuzDGughc+AVfCuchOpu\nbBjNMwndN5PAxkfInthL9shrmF1tZI/sIntkF8IfwjPvFtzzbsU1Y8GErlx2OrJPoPLwu4Fe4A+k\nlEeFEDNRQdllUsoLwF+j3D/PCvV2SGCblPLtlR/6EOxUglzbCfLnjpM7fxyZGvI2CW8Az6I78Cxe\nhTFl1g1fGVsqpLRJbFORf/+qLeihuvKuE7kI6ThouiL7Ere7qZxJdzyNlKpytTnkq6hVn8ianBtI\n0xnP0JvM0ZvMkRqW1jkS3LpGg99FU9BDS9DDrFofdb7SXDDXQtDjwmvo9MQzZEyLzlia+oCHGp9z\nF6MQmiL9wg7L7m5VO6wSxycMg8DdjxB76uukXv8VniWr0Xxjq200WaB5vPhuvRPfrXdi9feQOb6H\n7LE3sGN9ZA7tJHNoJ8LlwTVzIa7Zi3HPWlwRJdlKwhHhSyn7gXdf5edtDPPvSynvrdzQrjkW7FiE\nfOc5zPZW8u1nsPo6LzlGC9Xhnr8c97zluKbNHdPUqsmO3KmDWD0X0QI1Zadg2omIKh1HqLzwEt0J\nsUyOvkQWAL/boCnoHXVQVkrJxViG4z0JzvaniKSubKlpaIKAW8fvUl/DA6eWLUnnlfWfyllkLZuO\neJaOeHbwmKBbZ3adn0WNQebW+0eVMWToGlNqfPSnckTTOSLJLKZlUx9w3rJRaDpa81zsjpOqwKe/\nHVE/veSxuOYsxTVzEfm2E6T3vkxgw0MlX+NGh17XRGD9A/jX3Y/V20729CFyZw5i9XaQO3OI3JlD\nJAEtXI9r2lxc0+ZiTJ2DXtc8rnw0YfceUkpkKo4Z6cYa6Mbq78bsacfquYjMZS49WDdwTZunVtXZ\ni9Hrp1QteQeQ0lZNx1HyzuUErWUujewrpLQ2zChJ6VJKOUhwADU+N3X+0blwBtJ59ndEOdadIJYd\nagzt0gUza3zMqPHRFHDTEHATdlgEJaUklbcGdwbtsQznB9IkchaHu+Ic7orjNTQWNQW5bUqYqeHy\ne6rWBzy4dY2eRIZYJo9pS5pCXsfVwsJwozXNwe48qQTqPAFEoLR2f0II/Hc+QLTtBJn92/Gt2ITm\nu/GlRMqBEAKjaTpG03QC6+/HivcrT8O54+TbTmDHImRjEbLHCh5u3cBonIrRNB29rgW9rhm9rgkt\nVHdd4gDjQvhmXyfp/dvBslTP0lwamU1jZ9LYqTh2IoqdGLhUIG0YhD+E0TyjsHLOw2ieMWla3k0k\n5M8dx+rrQAvW4F22tuTzpbRVhoiUSgQtWF/CuZLIsOBsY9BDaBRtLzvjGV5vG+BET2KwPD3kMVja\nHGR+Q4CpIW/ZFrgQgoDbIOA2mF3nZ1Vh/L3JHGciKY52x+lJ5jjQEeNAR4yZNV7Wzqxjbr2/rMUr\n6HWh64LuWFq5umJpmsM+56TvDSDqpyMjF7F7z6N5/CWnxbqmzMY1azH588fJHNiBf93bSv4cNyP0\nUB368vV4l69H2jZWXyf59jPk21sxu9qwY32YXW2DdT+DEBpaIIQWrEULhBEeH5rXj/D4VIc+vaBE\nMEqMC+Hn21tJXtw14nHC60evbRpcBY3GaRhN0yumcHe9YGWzmNEYtmkiTQsEeKdOQRvn4E56/3YA\nvLdvLCvQJPs7VWGV4VHWvUNCUpb9ENk3h3wEPOXNRVciy8tnejnXrySyNQHLmkPcNiXM9Jqxk+QQ\nQtAU9NAU9LBuVh09ySyHO+Ps74jRFs3QFu2gMeDmnrkNzGso3QfucxlMrfHTEU2Tzlt0x9K0hH3O\n3TuhRmQ6rvTae8+ruEqJc+FbuVkR/qFX8a2+b1wVNaWUZDu7sHN5hKEjDAMjGMAITNz4gtA0Vbnc\nNA3f7RsBsLNpzJ6LWL3tWP3dWP09WP3d2MlYwdCNjnDV0XHfuDCOUd+Cd9qiwZVLFITRNK8P4Qug\nB+vQguFRd1O63rBzeRInTxE7dIT4kWMkz50n3XaBbGf3FcdqHg+BBfMILVlE05ZNNG6++7q6oayB\nXvLnjoFu4F22ruTzZaEJN6CE0ErwSw6kc0TTRbL3lkX26bzF9rN97GtXqbZuXXD71BpWzaglVObi\nMRo0BTxsnu/hztn17O+IsufCAL3JHD8+1MG8ej/3LmikroQgLIDb0Jla4xsi/fL/2qUAACAASURB\nVHiG5pCzRUwIgdY4E/viMSXXm4iobkwlwDVzIXpdC1Z/F7kzh/AsvL2k80eL6MHDdD71c+LHThA/\nfgIrkbxyjPV1+GfOwDdrBqEliwnfuozw0iXo/olZPKl5fLhnLIAZCy75uTRN7FQMOzGAnYwjsyns\njPJ8SMtU3g5pw9YrhAtKwrgQvmv6PILXIQ9/rGGlM0T3H6D/9T30795L7OBh7NyVUs5C13HV1iBc\nLjSXgZ3Pk+3sJn74KPHDR2n/8RPU3HEbCz/5R9Suqkwz8JGQKfgUPQtuLzkLQ0qJXfTbh5tK8tvH\nM6rSFIpkX7or7mh3nF+f7CFt2ghg5fQa7pxdj28C5Op7DI21M+tYOb2WvRcH2HGunzORFOd2nefO\n2fWsm1VXknrnEOmnSOVMIsksDUFnMQKhuxD1M5C955TSpr+mpFRNIQTe5etJbnuCzNHd143wU+fO\nc+rfvkz3L56/5Oeu+jqMQECRo2liRmPkI/1EI/1E9x+k86mfqwM1jeCiBdStWUXdmpXUrVqBq3Zi\np2ELw0AP16OHR3CLTkbCn6yQUpJqPUfvth30bX+Vgd1vXEHw/jmzCC9fRnj5MgLz5uKbOUO5b1yX\nTnU+Fidx4iTRvQc49+3Hie47wO4PfJSpj7ydpZ/+X2jusYtJSCnJHtsNgGfp6tLPj/epfHvdhaid\n4vi8TN6iN6EC7g0BT8lkn7NsfnWihyPdKu12Vq2P+xY00hiYeDtBQxOsmVnHspYQW8/0cagrzvaz\nEVojKR5e2kLY6/yzuw2d5rCPzmiaWCaPS1cCbU4gArXIRJ+y8vs7EI0zS/ocnsUrSL7yFPlzx7BT\n8THv7tb61W9y5gtfQZoWmsfDjN95lIYN6wkuXoinqfGSY6Vtk+3uId12gWTrOeJHjhE7dITEyVMk\njp0gcewEbd/5PghB+NZbaNh4J413byB8y9IbtuHLSKgS/giwczn6d71B78vb6d26nXTbxaFfCkFo\n6WLq1q6ibs0qalfegavGmY/NFQ5Rt3oldatXMuN97+Hc//0e577xbTqefAZh6Cz9+78eMxeP2XUe\nOxZBC9Tgmrlg5BOGQdoWckClwWr10x27cizbpjuu/Oxhr8sxYRXRk8jy5JFOIuk8Lk2wZX4jt00N\nT/hsrIDb4MElLSxtDvHz411cjGX41p423r6kpSTfvs9l0Bj00pvI0JfM4jF0R3UKQgi0hhnYF48h\nE33IcJOSHHcIzR9SwduzR8meOoDvtrscn1sq2h7/T05/7ksgBNMefSfzPv5RvFOurV0jNA3vlBa8\nU1qoWzMk62xlMkT3H6J/9xv079pDdO8BYgcOETtwiNYvfRVXXS2Nd99F4+aNNGxYjxG6eTKQqoR/\nFeQHovRue4WeF7fRt20HVio1+DtXbQ0NG++k4e4NNGxYj7u+vEKl4TACAeZ/4mM03bOR3R/8GO0/\neZLgogXMeuy9o7721ZA9uR8A98LbS5aVkLEepdPt9oNDqWMpJd1xpYvjMXTqS7TIWyNJnjjSSd6S\nNPrdvGPZFBoDk0v3aE69nw+umsWzx7po7U/x40MdbJnfyOoZzlMmQ14XWdMinsnTHU8zrTbgKPNI\nuLwqiBvvxe5vR28prZ+rZ+Ed5M8eJXdy/5gRfuS13Zz4P/8CwC2f+TumPlJ+7r/u9VK/bjX169Tu\n1Uym6H99N33bX6V32w4yF9vpePKZgnFlULd2FU2bN9G45W58025saegq4ReQOtdGz4tb6XlpK9E3\n9iOtoZTQ4KKFNG6+m8Z77qLm1lvGbDsYXr6MWz7zaQ5+8n9y6l+/SOPmu/HPnFHxv5M7cwig5C5W\n0jKR0UKgtn6aY+s6ms6TyVtoQjgOOhZxtDvOs8e6sCUsbQ5y/6Lm69rgpJLwu3UevXUqO8/3s/1s\nhBdP95LOW2yc47x5e0PAU2jKbtOXyNAcdhacFLUtyEQE0jFkNlWSqqZ73i2g6eTbz2BnUhWXDbcy\nGY5+6h+QlsWcj3xwVGR/NRgBP01bNtG0ZRNSSpKnW+nd+gq9L21jYO9+IjteI7LjNY5/5v8juHjh\n4LGhW5ZO+B1kqbhpCV9aFtF9B+l5aRs9L20ldebs4O+EoVO/fg2N995D0+a78U2fdt3G1XL/ffS8\n40E6n/o5xz/zWe740r9W9KGzBnqwo30Irx9jyuySzpXxXpUpUGzb5gA506I/papTm0LekmSA97ZH\nef5kDwBrZtRyz7yGSf8CCiG4c3Y9IY/Bc8e72Xm+n3Te4q0Lmxxn3zSFfFzsT5LMmSSzeUexEKG7\nEKEGZKwHO9qF3jzX8Zg1jw/XtLnkL5wif/44nkUrHJ/rBGf/45uk2y4SXLSAeX/4BxW99uUQQhBc\nMI/ggnnM+fBj5AYG6Nu6g54XXqZv+6skjp8kcfwkrf/+dTzNTTTes5HGzXdTv34Nuvf6a+JXGjcV\n4ecHompbt3U7fdt3ko8O5bwaoSCNm+6iccsmGjduGFe/3sK/+BN6X9pG39ZX6H9tF/XrSy+KuhZy\n544D4Jq1qKTKPiltZEwJ0Wk1zjTBpZT0FiQTgoWm3k5xqDM2SPab5jawbtboXWdXG19fIkd7f4r2\ngTTp3NCuzqVrTKn1Mr3OT3O4/KKta2H5lDBeQ+fJI53s74hhFOISTkhfNVbx0JfM0pfI4nMZjqQo\nRLhZ3cNUFJnPlpT27Jq9hPyFU+TOVZbwsz29nPvmdwFY8jf/84rkhrGGu7aWqY88xNRHHsLKZul/\nfQ+9L26l56VtZLu6ufijn3LxRz9F83qoX7dGccSmjXinOU9WmEi4oQnfzpvEDhyib8dO+na8RuzQ\nkUEdfADfzBmDOfC1K++47g/bteBpbGDWh97Pmc//O23f+8+KEn7+ompc5p6xsKTzZHKg4Lv3gUPr\nPpk1yZrKlVOK3741kuS548p1dO/8RlaV4Od+M+Qtm0NtA+w6E2FPa4QDbQODXbTeDIYmWDw1zOp5\n9aye28CquXVldaq6HAsaAzx661T+62A7ey5GCXoM1s50trCFvKqZSta06U85S9UUhgsRrEMmIshY\nD6LBubvQPXMBKYaen0rh4o+fwM7laHrLZmpXXt88/8uhezw03r2Bxrs3sPhv/gfxYycU+b+4lfiR\nYypx4+XtwD8RmDeX+g3raNiwjro1qyZs3v/lmBgMVyFIyyJx8jSR13YT2fk6A7v3XhJwFYZB7ZqV\nNG7aSOM9d+GfM3vCugimP/pOznzxP+jd+gpmPFGRHYeUkvzFMwAlN7coWvci5MwKtaUkUnDl1Ac8\nji3k3mSOJ450IoG1M2srQvYdA2l+squNn+2+MLjjKKLW72JqrY+pdT5Cw1IlM3mLjoE07f1peuNZ\nDl+McvhilG9ta8Xv1nnw9mm8Z+0sFk8bXeXj7Do/Dy1p4emjXbx8po9an4tFjSPfayEEDUEv7QMp\nYpk8Ia8btzHyjk2EGhXhJyLIuqmOs6z0xukItxc7FsGKD6CHKrMIdz3zCwCm/+YV2ozjCiEE4aWL\nCS9dzLyPf5Rsdw+923bQu3U7kR2vkzzTSvJMK23f/QHCMKi5/Vbq16+hft0awrcuQ3NPzKSCSU34\nuYEB4oePET14mOgb+xjYf/CKajz/3Nk03LWehg3rqV29EiMwOfrUepoaqV15OwO799K3Yyct979l\n1Ne0YxFkOoHwBtBqG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PiaEGJyplRMIAghBntf2jln2+7hkKY6RzgIwKo/UnjxHWikW8Nc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\nAABJRU5ErkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fcebceb9c10>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "cnt = ax.contour(Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3D figures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To use 3D graphics in matplotlib, we first need to create an instance of the `Axes3D` class. 3D axes can be added to a matplotlib figure canvas in exactly the same way as 2D axes; or, more conveniently, by passing a `projection='3d'` keyword argument to the `add_axes` or `add_subplot` methods." ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from mpl_toolkits.mplot3d.axes3d import Axes3D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Surface plots" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SoihgoVAIeMM7la4kWVFyarWzeGfnK9f1mm2SNzeZTAbUjsJqB+i9rcKOgWyK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OB5+v8nojnQYewEcIT7/wiATkJIvKkIhyVvEEQfttkqnWy7YrHYVDOz6BjOnKn3e/2GViMjLpK6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\n8v/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CKIwyzbUAJIq8jgo4rp1y9dMItm0lv9tGHV5EI7i1rFL6xjfPgGMLUG6hYWkWn+L4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\nOBQImKNCQ4bEfk9OENuoJ55BTmpMydSJ+Hw+E0ffCqFQSDPInU5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Oi7o6ATEiqY5ERAJv\nUT8QDktwuvTzyMNX+RAMqhmcTCn/UA8fQJ3bU6X/JtvfgMZ4eq6effZZlJWV4brrrkv72BOhJavb\n/MhJ2VGv14unn34al156KQYNGoS1a9eivr4eI0eO1BlFTdHPTxZGnf1MpQxpYEwkacp+n4ycaiZB\n0QYg+d4KVqpFhBEjPkZNTUxhqKDAjkGDOmL1aj19SFUW0i8jnHNOIRyO9ti4scjy+169HKiuNmcZ\nRo/msHq1/tg7dlRwzjkSDh1SsGOHWsegnqsClysCPyOG1K0bsHWro9FeDlYOXTpgnYFMStvFA9uj\ngpU1ra2txUUXXYRx48ahR48eWLVqFd5//320bds2a8eSw2iZCePjtJunPv/8c2zfvh1Tp07F6tWr\n0aFDB/Tp00f7nuoKMqUqZzTU06kLa0y6ko6Tsg9EQ8o0RFGV5aR9NpbBZ41WmifmvmakhnII+EOa\nchDPcVp2gOM5SBERvCBAjKjjFjvf2OwxY53jqR8Br9UVqE3IeEgRCQ6XHYLARXsQ8DqlIvr4x5n6\nmgg6vnSVfxRF0URRMi1hyjoHdE3uvPNO1NXVoaKiAnv37sXSpUuzzjKYM2cOPv74Y7z//vuw2Wy4\n4oorMG7cOMydOzer+02AnB2LczJDkJeXh5EjR2LBggX44IMP8MMPPwAAfvOb32D27NnaoGeMRJNz\nkCm93mR09tMF69lbRWyNg3omJ59kwE5QqWQl2AHS2IH3Zz/riuef3xFdDzj77LYQRfM2Dx70WWYJ\nAGDrVi8uuqgTOnVScOSI+bedO7tQXW3+nderrmuzKRg8GBBFGSdPyli50rxuWZmMHTv0y0aNEkxZ\nK2NWhCY3q87CyYKdUJvS9CYVsLKHbH+FtWvXoq6uDv/7v/+rrXf55Zdj0qRJuPfee7WGgS1oQa5h\nwIAB2LRpE0aMGIGamhpwHIfFixdj/PjxWnSbFL1Sac5lhUw4A4B+7KXMMmWjib4DxJyZTIOlpdD4\n39j1oIJZp9NpOsZ4oEwBx3GIhCLgeQ6yJGl0IdaQFyNq3SHPc4AEyBIPKeoUGCGKas1YY8fLRuJZ\nadh4nYYbA7EOiA6ayaAPKzZB81QwGMSXX36JU6dOYe3atXC5XLj++utxxx13YPz48RnZrxVasrrN\ni5zMEADAsWPHcM011+Dzzz+HzWbDDTfcgJ07d6JLly6YPHkyJkyYgPz8fMtINABdc610jHg2fdtc\nhhkQi/KQipERNOgQTSXTx2Tsb5DJrMTOnSdw7rnvguc5VFQUYf16H8rK8rFrl1l1YNiwdli/3tyv\noE+fAuzc2Rlt2/Lo3bsAlZU8WIe/W7e22L9ff6xuN9C1K48OHWTs2KHgWLT/2ahRCtasMR/niBFh\nrFunX/af/2nHLbdY+99WDh0LQRB01KJ415LNyDTnMwfou4hS8TIA/OMf/8DKlStRX1+PNWvWQBRF\nuN1u1NXVZSXCmMPI2ahUBnBazlPPPfccHnzwQQDA1VdfjQMHDuDyyy/HddddhzZt2piac6ViEBLY\ndz5bUXvW4WCRyYZXbKOrpoxdv/ybnhocbIg5CRzPaXUEHMdpWQGZqQlQZEVXPEwOAcfzGjWIMgCy\nJIMXeK3gmI6XzRCwLQ2e/YWeXhUvEq9uw0zXYn9HYg1WTdoyBdaG8Xg82LNnD2bPno2TJ0+isrIS\nADBr1iw8//zzGd/3aY6cHYtzMkMAAN988w2+/PJLdOzYEUuXLsXIkSOhKAp27dqFZcuW4cYbb4TN\nZsPEiRMxadIkFBcX6zIHLP2BIiLJcL2NyirN3XnYKGmal5eno3RkMytibFKTbK1EsujTpw2GDSsC\nYMP69ScBALt2+VFWVohdu/TNx/bu9cHttqGhQW9cFxSo3PXjx2VUVp5Cr14OdOrkwqFDApxOJ7Zv\n5wAoaN8e6NpVRn6+DLudw2efCdi5U388kTgiFn6/uTvyqFHxnxs2IwCYOwtTNLGxe8YaBs1dJ0I8\nVtYZ4Hker7/+Oj777DO8/fbbcLlc8Hq9+Ne//oXvv/8+I4bL2LFjsX79ei2iWVJSgu3bt2fgjFrQ\ngqbB7/fjpZdeAgDMmzcPM2fOhN/vx9tvv4077rgDbrcbN910E8aPH69F49mxORlj2+gMZKPBHmUx\ngFiQjKUHsg2vKMuRKkj8gCiOTQlkPHe/S3MKWGcAAEINIXDR+TscDIPjVdVBRVainYol8ByvOQoA\nYHfYEQmJ4HgOTrcTUkSEIkdr4GzmMV2KqJShcDAChytxcS8p/7hcLh1di+bxQCBgyiBZyYtmGkZF\noUgkglmzZuGPf/wjRo0ahf3792PhwoWYMmVKxvfdgh8POZshAIA333wT559/vqUklqIoOHr0KN57\n7z289957OHbsGC644AJMmTIFZ599thaxteJ6x6s7YA0jIPMGcSIk6v7bGD+ffpNuVsR47tkq2v7H\nP3Zh1qyvdctGjOiAdetOmNYdPrytrktx794F+O67+E1NxozphI0bbRBFgJU6HjXKiTVrjGpQClq3\nBk4YdmuzyXA6RV39QHExsGtXXhJnZwbL67VS0yCDgZyw5nZAjQpSHo8HHMdh3rx5WL16NRYuXJi1\nTsAXXnghpk+fjhkzZmRl+6cZcjYqlQGclvPUwYMH8fnnn+OGG27QLafA1Kuvvop//etfGDt2LG68\n8UaUlpaaqJ7xjO1UuPbpgq1FMs4nRtoLgcQHkhVKYHnwpITW1PP45d+CJmcAUJ0AAOB4HpGQ2rlY\njIjgOR6yImtqQ8ZOxTynRvx5gQfPc+AFAYKNhxitHeA5DqIoadkC9vf0+W+/TF6j30jX0rYVdSBS\nFSdJFSRPDsQK4O+8805MmDAB06dPz/j+zkDk7Fic0w5BKvD7/fj000+xfPlybNu2DUOGDMHkyZMx\ncuRINb0Yp3iXDGiO4xAIBDJePJwMjDSdZCYISlfSBGRFU2Gdg8a2ZSycbkzrvqk4eTKMXr2WIxCI\nDZROJw+Px4m6Ov39sds5FBcXoKZGnQgGDOiOLVusjVOOA4qKSlBba/6uUycXjhzRL+vbVzHVCQBq\n87GqKr1G9bXXCnjllaYP3EQtYjMHLJpSoJYOjLKmxGP929/+hm3btuHVV1/NqpLXhRdeiJtuugm3\n3npr1vZxGiFnJ6EM4Iydp0RRxEcffYQFCxbgxIkTuPbaazF16lTY7XaTsU1jMs/zWmYgW84AS+Fp\nrGCVpTsaOfw0FsXLcrA0w0zW2N39J7OgRLAhpNYCAFrEPxKKgLfxWlaA4znNKSDaEM+p/8dzCIhG\nxNP3GXAIWBgVoLTtcpwmMZrJDAF736mO4/nnn4fP58Of/vSnjD5nZ3CGN2fH4pzsQ5AO8vPzMXXq\nVLz66qtYt24drrvuOnz22We49NJLceedd2rat9RcydjJlY2SptrCvSkgmg45Ay6XK6kJgi0cohbn\nLpdLR1sJBoNaI5h4TagoUpWO1n06aN3agalT9fr1oZCM3r3NA24kosDtBgQBOOecVnGdAQAYMKDA\n0hkoK+NNzgAAxFPNbNfObJucf37mCslJgjY/P98UHWKb2Pl8Pq2JXTZ6HsRzBv785z+juroar732\nWrPI+j7yyCMoKirCmDFj8MUXX2R9fy1oQSZhs9lw2WWX4Z133sGiRYtw6tQpXH755fj1r3+NHTt2\naPMNEBuTWeW2bKjGGSk8jRWs0piUl5enadrTHMJq2geDQV0Ag4pijTTDTOC/ZuvFCoIN5hoztmtx\nJKxmy6mWQFEUSBEJUkSCGIlRNiPhiLY+K1PK89mzD2mOppos7fij1GSfz6f1VmrqOE/3hO57Xl4e\nPvzwQ3z99dd46qmnMv6ccRyHl156CV6vFz6f70xxBnIaLRmCBFAUBTt27MCyZcvwySefwOVyYeLE\niZg8eTI6dOiAdevWweVyoW/fvrrfpVJ3kC6yRdNJRFOhqA+ARilK2cLatUdx8cV6eZ9WrewQRR5+\nv1laaMyYIhw5UoRdu+Lfh4qKImzYYI7ijx7tMMmNAsDZZ8vYts18rmefHcG2bfrrtWOHE127Zu4Z\nMNapUHMgltfblIxPIlj1OACAJ554Ag0NDXjxxRebpRPzhg0b0L9/fzgcDixatAj33nsvvvnmG/To\n0SPr+/4RkLNRqQwgp+YpWZaxbt06zJ8/X5MunTZtGk6cOIF9+/Zh2LBh2rrpFCI3hkxReIya9gQa\nh9gavWwEkShLwDoDPM8hFKR+BLyl1KgkSro+BFw04s/xnJYt4G18tHCYZEdFrTaB1medBIfLnnaG\ngI6PlRd1u926+Zk91qZImFL9H1E/q6qq8MADD+Djjz/OiiLcGZzhzdmxuMUhSAGKoqC2thYrVqzA\n8uXLsWnTJhw+fBgA8J//+Z+49tpr42rMZ7rfAWuUZZOmk0gBB4Cp4Vi2IcsyKio+wo4dPt3y0aOL\nsHr1cdP6I0d2QijUCV9/bd0hMj+fhyx3RiBgvi+9ejlNDclatVJQX69AkvTLCwsVNDREwIzRKCvj\nsHlz5pQ/jIXbVk4g0cFo0ohHLUqnmNyqx4GiKJg9ezZcLheeeeaZZnEGrHDppZdiypQpuOeee36U\n/WcZOTsJZQA5O0/5fD4sWbIEf//737Ft2zb4/X7ccsst+Mtf/mKKCjdV9ScbFB6aP8g5MIKam2U6\nkHT3n7ymzAAVEgNq8S+gVxsywmZXg17kEMgi9R8QYHfaNMoQqRCxPQuMWYOXH2mV1nmwTU2t7kmm\najmMikJ1dXW45ppr8NZbb6Fnz55pHXsiXHjhhaiqqoKiKOjTpw+efPJJXHDBBVnZV4aRs2NxC2Uo\nBXAch06dOuFnP/sZ6uvrcfjwYTgcDlx//fVYsGABHn/8cWzcuBF5eXm6lu6kHkFUDjLo0k3xRSIR\nHb8zmzQdNiVcUFBg6XgQ75BSw1ZZhUyB0tkzZ3Y3fbdlywkUFuqpWq1a2bFzpxM7dpxEWZn14z5o\nUFtLZ6C42Lo7cVmZZHIGAKBPH0XnDADA+PGZzQw0NDRoE2t+fr5lRojoYE6nEx6PR0vlk4QdS3Xz\ner3w+/2mCcUKVs6ALMt44IEH0LZt2x/VGQCgnVsLWpArKCgowJgxY1BTUwO/349zzjkHVVVVeOaZ\nZ3Ds2DFdQID63tAcYwwENAYr2eBMvMs0f7jdbhQWFpqotERLDQaDCcefZCGKIv50d+PjAO2LdQbU\nfgSxa0Z0ITEi6ihC6nfWHYqNBclA05wBmk+pLtF4T6gHjMfjgcfj0ZwrWZZ1lKLGqKNGRSFRFHHr\nrbfir3/9a9acAQB45plnsGfPHhw8eBC33347LrvsMuzduzdr+2tBYrQ4BGng3XffxZdffoni4mKs\nWbMGCxcuxNq1a3H11Vfjk08+wYQJE/CLX/wCn3zyifYiW9UdeL3elHneoVBIpzWfSe5lIlDxMk00\nLperUceHjNdMGWmkfiDLMq6+ugTt2+trAk6dimDQIH1q85xzOqOuToHfL+Po0VPo29d8rerqrCP4\npaWp1YHYbOYJbfz4zDhqNGHT5JBKnQo1sXO73ZpT53Q6teeG+lb4fL64Tp0oijqd8Pz8fEiShF/8\n4hc466yz8MQTTzSrM3Dq1Cn885//1J7HhQsXYtWqVZg4cWKzHUMLWtAc+POf/4za2lqMHz8eGzZs\nwOrVqzF8+HA89thjuOqqq7B8+XKtAJTneW2OofqvUCjU6BicTT4/C5biwvanoXkjGeM1EdjmZixI\nYUiRFZ1xryjqmE2OAFtb0Oi5RLdBmYZIKKLVFkgWDkQ6MMqLNhb0YyVMCwoKdKImNL6TvcGO7ez1\ncjqdEAQBDzzwAG688Uacf/75TT6HxlBRUaEFtaZPn45Ro0ZptZot+HGQs30Isonbb78dJ06cwE03\n3YTi4mIAqnE+duxYjB07FrIso6qqCsuWLcO0adOQn5+PiRMnYsqUKWjfvr2u3wGp/AQCgUbrDoy8\n8Uw2/EoGRnlJdsAxdksmJ4CV0GtqozdWc1sQBLRvn4877uiFp57aplvv66/roqpAIQwc2AZr1sR6\nApw8KUEUT2Lo0Nb46it1IujTJ9/UX4Bw/Lh5ALbZFHz3ndXxy6iu1jsELhcwdmzTJ1Yrnf90M0Js\nzwPqRMnqihv7VND9oqJ1ivZFIhHcfvvtGDVqFGbNmtVszyEhEongt7/9LXbu3AlBENC3b18sX74c\nvXr1atbjaEELso2XXnoJJSUlePjhh7X+HT/72c8wdepUHD58GK+99homT56M8vJyTJ8+HQMGDNBo\nJIk6IhMFkQz1bFFPaY4D9N2UnU6nTn+fxqFAIKBRXpKl2bLF0OrcpM6V5AyYjimkUoikiAg56hjw\nnFoTQKCIPxftaMwLAmRJnQMj4Ui0FsE6E9MUp4CN2rOF2smArSVgbQx2fqZ1yJ6gZ+PFF19E+/bt\nfxQp55YM74+PlhqCLENRFBw6dAgrVqzA+++/D5/Ph/Hjx2Py5Mno3bt3wn4HRPNgB+3m7m9gLCJN\nFK1gJU2taiqS7bxLYPsrsE23jh8PoX//9+Dz6Xk6FRXtsGOHH4WFJTh40DoNPWJEIXbvFtCzZ+do\nt2I9unXjsH+/WZVo4EAZ337LwWaT0aGDAo9HgdOpoLBQxtGjMrxeDrW1HAAOF1/MY9mypmnwW+n8\nZysSn6hPxZw5c9C9e3dcfPHFeOqppzBhwgTcddddze4M/ETRcpHj4yc/T8myjNWrV+OVV15BdXU1\nrrzySkybNg0ejyduR2QyCMkozJY6HtszobFuyvH095PhwxsLb0kZ6YaHD+rWIyOdHAGqDWD7ELBz\nG+sQ8IKg7Z+LdieWDNQhKj62O2PX8ZW57ZO7UFEY+wBkqvt0PAnT2bNnY+DAgejYsSOWLFmCpUuX\nZl0l8dSpU1i/fj0uuOAC2Gw2LF68GHfddRc2bdp0JgR1cnYsbnEImhlerxcff/wxli9fjurqagwf\nPhyTJk3C8OHDdeo+8ZCthl/xwA7mpHCQTtMyK1UEoPEC12T6K8yd+y2efbbKtM9LLinDP//ZOIe2\nSxcXSku7wuez47vvOASDse2OHm3H6tUCnE4ZxcUy2rWT4HRyKCjgsXWrjMOHAdbPGTkygrVr1dfF\n7VbQsyeH224Dbrop/b4ArCZ0JnW6kwFNzhSlOn78OAYOHKhxbzt27IjrrrsOU6ZMwZgxY5rVQf2J\nImcnoQygZZ5icOrUKbz11lt488030b59e9x88804//zzteJeqzk/W/NKug3U2ELkRIXTjRVDsw5B\nOKjOIxyTBaDmZFagomJaT80OSOCijcoA1Vkhh0BbxsXG6P/6bUFKhd7GPgDZ6DjPZpz37t2LUaNG\naecyZcoUzJw5ExMnTsyqnXHs2DFMmjRJl+F98sknMW7cuKztM4PI2bG4xSH4ERGJRLBq1SosW7YM\nlZWV6N27NyZPnozx48fD6XTi4MGDiEQiKCoq0v2ODGjKHmQLiTofp4NkOu+SAc1Gr9g0MwurLMGo\nUZ2xa5cAUXTh+PH4hWqjR3fVJEVtNqC4WIDHw4HjAKfTjQMHZBw7BiiKes6CALRuzaOuzryt0tII\n9u1jG8cAGzYoiDLKdOeWDG3KWMCbrRb18cDee4fDAUmS8Pbbb2PRokXYvHmzFsECgP/5n/8xdWNt\nQcaRs5NQBtAyT1lAURRs27YNr7zyClavXo1LLrkEN954Izp37owtW7agtLRUiwTH64jcFLBjWLrG\nLc0X4XA4rsQmOQ5WGVRyCMgZUH/LIxIOq/QgSYIsSuBtAmRRjfDwNnOGAFADYhzPaQ4B7Yd1CFhn\nAABenJ2nO97Grm+8LEemwSoKcRyHJUuWYN68edi2bZs2Hz/11FN45JFHMr7vHEHOjsUtDsFpAlmW\nsWXLFixbtgz/+te/4Pf7sX37dgSDQfz617/G7NmzG9WXz2S/g3Q6H6e7H+q8a9UtmRDPGSA8+2wV\n5s79FgBQXt4OW7YIkCSgoqIVNmywzhLk5wuw27vi5EnzI96/vwNVVeb9lZfz2LzZvK2ePRXs2aPP\n6gwZwmPlSlfcc2uMNkVqIck0BsoGjM6Ay+XCqVOncMMNN+D+++/HZZddhnXr1uGDDz7Ahx9+iM8+\n+wzt2rVrtuP7iSJnJ6EMoGWeSoBwOIzly5fj9ddfx4EDB/DNN9+gXbt2eP/999GjRw9TrwCi6KQ7\n7rCR7kwFk+JJbBLiUZ6uuX+P9jkSimhGPjkAxkJiRZEhRKPjtC4Z8eQQyJKkfablLJ0IUDMM8+a2\nSUoSNJG8aKbA1uK53W4oioKrr74ajz76KPr06YOFCxfijTfewIoVK3K1n0smkLNjcYtDcJpBURQ8\n/fTTeOyxxwAAY8aMAc/zWt1BWVlZXH15lhuabvMpo859ImM8k6BmNuSIsOB5Xpc9YM8tFJIwePCH\nyM+3o6bGCb8/9tiOGdMOq1aZtzd6dBesXm3Nkxw6NA9ffWX+bvhwAZWV5ldizBgZq1bp085/+IMT\nDz4Yu27G4l0WLG0KgE5FqrmavRHY6BEVrh8/fhzXX389Hn30UVx66aVZ3f+uXbswcOBAXHPNNXj9\n9dezuq8zDDk7CWUALfNUkliwYIFWMDphwgT07NkT06dPR//+/TVjm4VVIXIisHVP2QhoUCDJ2P2Y\njpfGUtpnPIdACouayhCB43goiqwZ+gD1IeB1GQDqTWCkD6nbiJ3rm38psRTcIBAFii32zVZht7E2\nweFwYNasWaioqMBdd92V8f3lMHJ2LG5xCE4zrFy5EhdddBE4jsMzzzyDX/3qV/B6vfjwww+xfPly\n7N27FyNHjsTkyZMxdOhQHT+fRTrNp1guJtD89QrsRAKogxadH/uckvoNO/B/+OEhzJixE/X15kd2\n+PB2qKyMOQUejwCHoyuOHzevW1gIhMMeXT0BAOTnA4rCw0LRDiUlEXz/vZ4uVFXlQbdu8QvgGqNN\nAdAk5Jqr2RugdwbIEaytrcUNN9zQbPzOCRMmIBgMonv37i0OgR45OwllAC3zVBKoqalBWVkZIpEI\n/vrXv+KBBx7AF198gX/84x/Yv38/rrrqKvz85z+H2+2OW4icqCOykc+fbqfjRDAKTdCYSiCpZQog\nXXP/Hp3qD2UH4vVqMBYWsw4BW2hspA/RvgHVGTAiHgWKkK1GbVa1CS+//DJqamrwwgsvZHx/OR7Y\nydmxOCccghMnTuDWW2/Fp59+ig4dOuCpp57Cdddd92MfVtqYPXs2hg8fjqlTp5q+C4fD+OKLL7Bs\n2TJ89dVX6N+/PyZPnowLL7wQDocjrkJMoroDo5pNtqIU8WBUMmJTpom6JZPTc+ut32HZsqOmbfM8\nMGxYO6xbpzoFY8Z0xapV1pPa8OFOVFaaC2RHjOCxbp15/bPPVrBtm94ZGz5cwMqV+UmdN51bKBSy\nnCBSVWRKF8FgUMvMkDNw6NAh3HDDDfjrX/+K0aNHZ2W/LBYvXoxly5ahf//+qK6uzsWJpCnI2Uko\nAzgj5qnTAYsWLcKuXbvw+OOP65afPHkSb775JhYvXozi4mLcfPPNGDVqlGa8JtMRmaW9ZFMRjaW9\nsBlsyjAbKZqCIODGX+nVhowOgRJdnzM1/oqdn2b82wSdY6D+jtNlFQBgyQuljZ4HNQ8zBvNS7TKc\nCKyTRhmblStX4r//+7+xfPnyrCgK5XhgJ2fH4pxwCMj4nz9/PjZu3IjJkydj3bp16Nev3498ZNmF\nLMvYvHkzli1bhv/7v/9D27ZtMWnSJFx66aVo06ZNo/x1llrEctabW80GMCsZNZZiJklTK9pUXV0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GcYhn/oB2oP7up0ulplcK1Wa5VMlznqCgbWrVuHtLQ0bN++XXDdB1NMB9YZhkFOTg4FBARB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\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd785910>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(14,6))\n", "\n", "# `ax` is a 3D-aware axis instance because of the projection='3d' keyword argument to add_subplot\n", "ax = fig.add_subplot(1, 2, 1, projection='3d')\n", "\n", "p = ax.plot_surface(X, Y, Z, rstride=4, cstride=4, linewidth=0)\n", "\n", "# surface_plot with color grading and color bar\n", "ax = fig.add_subplot(1, 2, 2, projection='3d')\n", "p = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=matplotlib.cm.coolwarm, linewidth=0, antialiased=False)\n", "cb = fig.colorbar(p, shrink=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Wire-frame plot" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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XsosVo+OJNEV9oH/6iWDlSgtsNoo1a3IwfLiC/HyC0aPNmDBBBqXQkory8vLw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\n8zG0bavprkthSVatylG+PP0d7kYLBqHz0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5xh0SIGp9OJ3bv9WL/eErpPhl9/tWLiRAUT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\nKpo313D+PNORlkOGeHHihBP79ikwmzm6d1cQGxuLhASD0ODTT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M0gGFTo29eJqoqdfUqK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HHw+iaTBrlpP69YsxfnwqipLMm2+K/seHHw5TuLDTBNE88URRjh+PncuUlOjGS1UlMjb2OejS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\n3604lAQAAAAASUVORK5CYII=\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd785650>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8,6))\n", "\n", "ax = fig.add_subplot(1, 1, 1, projection='3d')\n", "\n", "p = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Coutour plots with projections" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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wYkDToCQzzPScM/32U62kBM5iC3Mkma+qquL1eunq6oqJpdVqxdXj648/xnha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cgj/wK7fQ9e7zpLS9M4HHrCYQiHM5tCDkKEwjQKxX6CwWVisXmEQhGFgpJgMMCPfvQcN28O8IlP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\nSEG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T7zIyNOHqNhvUmli7WU2Eev2UyNU+9X5u6RVZFtHMW5YVfvN6L6tL4li1YukIjMcq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\nzeagolmOeGN5KUYYE8DtgTeXKdS1SNgtgu8Xa2SnRq8pENT521t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"text/plain": [ "<matplotlib.figure.Figure at 0x7fceba3b5150>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8,6))\n", "\n", "ax = fig.add_subplot(1,1,1, projection='3d')\n", "\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "cset = ax.contour(X, Y, Z, zdir='z', offset=-np.pi, cmap=matplotlib.cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='x', offset=-np.pi, cmap=matplotlib.cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='y', offset=3*np.pi, cmap=matplotlib.cm.coolwarm)\n", "\n", "ax.set_xlim3d(-np.pi, 2*np.pi);\n", "ax.set_ylim3d(0, 3*np.pi);\n", "ax.set_zlim3d(-np.pi, 2*np.pi);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Change the view angle" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can change the perspective of a 3D plot using the `view_init` method, which takes two arguments: `elevation` and `azimuth` angle (in degrees):" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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xbRvJZLKp41CvVjAYbDgEg7AsC2Nj47h2bQpTUxmUSlGcOPGi2Nw1TRMjI98h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\nb1Iq5Xn33Z9y4cK/Y7d796X7BYM7+Hxd1Go0+XCp1WpisVA9mGnfPxWNB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BIRuQ9XorlL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YJhQSv/d2MumFQuGhhrxSYCMd/7iVpv0gJf/2MxlWJnKU88DnVRH7cfHl+BQKPGoP1X49RlIP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ykUQqysTDI8fIFweJ5QKMb8/BiNjVvQ6QzY7XW0te0mEpnE51tGKpVisTTQ2XmY3bt/GbW6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\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X+Pa3H+fHP34dv9+BQtFFT89nUCi8BAITKBQxlMoZ1Oo4en0OqXQevT6Ow1FGq/VTq43g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x4OBwjEYjHR1tItNgUFAIg4ODdHe3o9Vq0WhsGaCYmNmUlZ3DaOzHaHTMgCkUStLTV3DgwEdE\nRMS7pEkX0NBQTXR0vMvPGhtrCAoKdxCxNhjCWbJkgUMPjrOopM0GWx+aqzExWeK1Y4HQr2g/Jry8\nvNDpdC57wtwVuR4v7IV5hY2EsBmMiYnh4YcfJigoiNLSUsrLy3nzzTfZv3//jHFePfBgMrF582b2\n79/Pn/70p2H9gWq1mgcffJBPP/2U3NxcNm7cyNGjRx0qKrRarUsSo/GIgtuT7ky3bttIfVzORD0w\nvId7oggLCyMhwY/m5gbxmMlkQqlUYbGYUKtdS2Skpy9lYMBEYeEph+P5+dlIpYNs2fKvKBQ+nDr1\n+YhOVVNTIyqVjPXrv0Ve3jEKCs5ediplqNUa1GoNEomU8+eLiY9PEZkBhb+1zXHzJjDQdWXHZGA0\nIopf/vKX0+6YezA18PyVx4mGhgbWrFnDF198ga+vL08//TTHjx+ns7OTH/3oR1RUVIiTnn1pQnd3\nt7gRnCq42jQLpBr2pXKjEVdMZYbNmQxBiNA5kws4H4OrMwKOFQEBAUgkvQ6LlC0bVevwPYkE/P1D\nqag458CMGBeXQn19hVgLr1AomD07jZ6ebjo6Wi9TvfczMGAUm24vXqwkODiW1tb6EZ97R0cL/f39\nBAeHufy8qakBg8FR16K3t4PoaBslrj1zn7Bo248JYQFwHhOuyEGmCvaEE/ZsmfabKVfN3MJ9TrVj\nZf/eObNPqlQqGhsbuf/++ykqKmLv3r288MILGAwGsrOz2bBhA3l5eVNmqwceTCfWrl3LddddN+Ln\n/v7+7Nq1i9dff5033niD7du3U1JSIn5uT2LkqiTuWuYpe0KB6SCisId9qZ9CoXDZB2Rf/ugcWHTH\nXJeaOhu1uou+vp7L69QAeXknuPHGzVitNrkOZ8hkchYvXsWFC+e5cMEWdKypqeDixfMsWnQDcrnt\nc6lU7dKpslqtnDt3gtmzMwgNjWXVqi20tTVy9Ohe+vttemBSqZSLFy9gtZoIDbWVuw8MDNDf33+Z\n3fUSyclRE7r3sWAkIor333+f5ORkl0QUHnw14SGlGCd8fHzo6Ojgpptu4q233iIzM5OgoCC2bt1K\nfHw8Dz30EHl5eSxcuFCc8Jw1NeDa9JXGC4F61L70SS6Xi+QNrqImV2v+nWxCAnsdnmvV6hKIK+Ry\n+bCm/4k27tqEVNvp6LCKzbYajZbz50vR6fRotV4iuYBcrqCiIp/ExFRRS8rb24eCglPExMwWHVeZ\nTIbVOsSlS9WEh8c72FxTU0pNTQXr1m2lubmZtraLhIYOXxyKis7i7x/qQIkuwGjso7Q0j7S0pQ59\nWj099aSmxiOVSkU9NOH5CT1HVxsTzuQg16rDNhEI5RT2m4SrEU7Y67A5v3dCBHoy3zvnUl/hvVMq\nlfT19bFr1y5eeOEF/v3f/52HH36YkJAQli5dyo9//GP0ej0hISH86Ec/mhT7Zjg8pBTTjAMHDtDd\n3T2lpBTXCr1ez9atW0lMTOSRRx7h6NGjzJ8/H29vm5i5VCodUbtuNK29qdScuhYIJDtCP+hoc5Ur\nYiF74orxznVyuRw/Py3FxWVIpV4UFeWiVMpJT19OQICBnJzjBAWFolY7EiYpFCr0+iDOns1CLldR\nVHSGJUtuELWoJBIJoaGR1NfXUV9fRmhorPh3KS3NZ2Cgh9TU5ZfPpSQychY9Pe3k559Eo/FBq/Xi\n1KnDxMfPISQk/PJ6amOl7enpQiZrIz19ttt7ql1hpHHT09PDT3/6U/70pz+Nuw+vvLyciIgIysrK\n2Lp1qzvN9mBiGHGN8jhUE0BmZiZr1qxxKFOQSCSEh4dz991309fXx7/9279hNBpJT09HrVYP2/QL\nG1J3vvz2Aqz2gqajbZqdMRKb2mRtSIX+komICDszAgrMQBN9xjIZLtn+6uqqkEoVGI2256zXB1Bf\nX4NeH4C3t60BVaFQ0tLSjMVixN//imCin18AxcU5hISE4+OjY2hoiJqaMoqLc5g/fxXe3jpCQyMp\nKspFLpfi53eFSMJkMpKXd4KMjOUoFMMX/urqUkB+WTjYhoEBI9BGbGy4S2f1Wp7N1cR23cm0Ba4D\nAmNlnxTGxEQErseC0YR5h4aG+Nvf/sZ//Md/cOONN/Kb3/yGhIQEh+srlUqxH/NrCo9DNU0Q3ouD\nBw/S0dHBhg0bxIDUTIJEIiEsLIzt27ejUCh44IEHuHDhAhkZGWIg0D4oaGOHG3IQyXV+5wcGBsQ5\n7GoOzGRD2KQDYiDxWmAfRHJXYNHLy4uBgW7OnSunoaGKlSu/gUKhRKXSoFCoyM8/SWRk4rD1Q6v1\nQiJRsGfPX1i8+HoiIxMcPpdKpYSHx9DQ0EBNTSGhobH09vaQl3eUxYtvQKVy3FMZDBHodAHk5R2l\nrKwEq9XIwoXXI5fLkUql4h6hubmG1NRgNBrNlASABSZcZ8f32Wef5eabb2bJkiXjPvedd95JcHAw\nfn5+X+f1YCbi68Py197eztatW/H29iY2Npa//e1v02KHVCpl27ZtHDlyhMHBQTIzM/n444/Ffo/R\n9KDGC2ED6kqA1b4saiwYqfnXXSQFI2lfjVdE2FlY1R2Nu4GBgUgkffT19VBYmMO+fR9QWJjNqVMH\nKSg4SX7+cc6ePci+fe/Q0dHGoUMfUldXg8lkK6WLjU2iurrE4ZwKhYKYmDmUlJxhcNBKSckZqqtL\nWbLkBvz89CLTVHr6CgoLc2hraxZ/W11dRkBAyIj9VY2NFxyyWlarlZaWixgMOrfooY0ktuusCTVe\njFaOOF72SfuSIOdeC3f03TmPMWdh3iNHjrBhwwaqq6vZv38/3/ve96YkgjoSZso86cHMwbPPPotW\nq+X555/nr3/9K1qtlp07d063WSNCIpGwYcMGDh8+THx8PBs3buSPf/yjmHm/Wkmc8M5Pt+aUMyba\nx2Uvuj7e8kcBVquVmJgIJJJWEhPnotFcWXNiYhLx9w/m7NlDLn/X1FRHXFwSdXWVLpn/pFIpixev\nQq325dixD8nOPkR8/OxhAsECDIZwVqzYSF1dJZ2dXVy8WC9+ZluDLPj7DxEdbSsDdGf5oyuMRkSR\nk5PDXXfdNe5zv/XWW+j1em644Qa32OrB1EBylZfrS9cVfccddwDwpz/9ibNnz7Jx40aOHz/O7Nmz\np9WupqYmnnjiCSorK3nmmWeYO9dGN2oymcSXEmwR6pHK8UaCkCWw3xhKpVIxIzYZmSR7ZjW1Wj1m\nvSphMrKnfB3PvV8NgpMpLJhgc2bGyuD04Yd7OXjwHIGBIYSERBEQEMqJE/tJSVlIREQsYPtbNjbW\ncPDgh0RFxdHX14OPjz/+/sGUl+ezYMFKoqISAdv9t7c389FHb+LtrSUsLJ709KWo1RoxUiwsAnV1\n1VRV5bJq1UY0Gi/27n2H+fNXYjCEDLPTaOzjiy8+4KabbkMul2Ey2bJHly6VsXp1MiEhIW6n8Hf1\njOVyOWq1esxOgzCOhXuXyWTiOHYnLBYLRqPRYRwLJRtjeTZCn5T9hkGlUonPuKqqiieeeAKNRsPO\nnTvFxX66MVPnSWA8A/NLt0554H709fXxwgsvsGfPHh588EHWr1/vMMc7rzlCYMhisTA4OChqGU4n\nbD1Atl4he0mI8cLV3kAQk7+WcwsBst7eXo4eLUGvT3RglR0ctHDo0CdERMQya1aaeLyoKJfm5lqu\nu24zOTnH6evrYNmy9SPO4x9//A/Onz/H3Xf/x4gOldU6SGFhLhcvnmfu3MUUFJzEy8uHuXMXodP5\ncvFiJYsXBxMTE+1yf2E/L7sDQtm80Gdss9HKbbfdxvPPP09aWtpVzuAaXV1dLFq0iAMHDvDqq69S\nWVnJG2+84RabPXALRhxAXymHqq+vD71eT1FREfHxNvaz//W//hfh4eE899xz02ydDYWFhfyf//N/\nMBgMPProo4SEhGC1WhkYGHDYlKnV6qtu7oTJUqBWhclzpJyvK2xIx7rxdXWvk+FIufO6FouFiooK\njh6tISwsSVyIKytL6OxsYfFixyjSsWP7CAmJICIigdbWBpqa6ikvL6a1tYGwsBikUjlWqwWVSoXJ\nZEEul/CNb9zucA6BuUgozyspOUdLSzXR0QlcutTE9ddnurS1rCyfjo520tOXiouJ2WxiYKCarVtv\nnFSRQ1fP+FqdV1vTs9GBFn88jvpYIDzj8ThWQhbNPktrf68dHR384he/IDc3l+eee46lS5dOe+Rb\nwAyfJz0OlQcTQlNTE8888wyFhYU88cQTLFy40OHdcw4KCnCHAzMR2HqAbFImKpXKrRpYV5uvXEHo\nAwVbz3ht7QVOnKghNDTJ4Xl2dXVy7NhnZGSswmAIp6mpkTNnDrFq1Ua8vGxVESdOHEQqtbJ48Y3D\nrtfR0cqxY58RHp5AY2MVCxasJijIsTd4aGiIrq5ODhz4gCVLbiA0NAqLxUJp6RlqakoJC4slOlrN\npk3XO/wNXa0r4wmcOWMkx/e9997j5MmT/OY3vxn3uR944AEiIiL43//7f/PUU095HKqZhxEHzleq\n5K+srAyFQiFuEgDS0tIoLCycRqsckZKSwp49e9i2bRt33XUXv/jFLxgYGBjGVmbPyufs9F4rC95k\nwVVZnX3Jl6uyupHouadKRHg09reRSheFSbO3t5egoCDUajNSqUSsa4+KiqO5uXFYOUNkZAK1teUo\nlUpCQ2NIS1vBli33EBmZwHXXbeKmm25l/fo7WbfudjZsuAOZTOmgYQVXetg0Gg0qlZLZs9PQagPZ\nv/8jIiPjRnzGtbXlBAWFis6UTCbDZOonOTl60hXj7Z/xtbJOjUYpPtlCwsIzdsViOBrtsvDuOZfV\narVaBgcHefXVV9myZQtLlixh//79LFu2bMY4U/DlmCc98GC8MBgMvPjii/z+97/npZde4tvf/jaV\nlVdkLoT31ZmiXWCJmy6MJAzrDoyVEdCeZVBwuqKjo4iJ8aalpd7huzqdL/PmLeHs2Sza21vIyTlC\naupSUbxXKpWyZMkqBgYs5OQcdvjt4KCF7OzDzJqVRlraUlJSlnP69IFhJfKDgxaKi/MIDAwiJCQS\nsFVBpKQs4frrb6G/v42YmIBhDrF9qbe7JGGcxZaFa/b09PCrX/2Kp59+esznFJCbm8u+fft44IEH\nxn0OD6YPXymHqqenZ5hoqU6no7u7e5oscg2JRML69es5fPgwQUFBZGZm8vbbbyORSFzWPgtpd8GR\nste0su/VmOwNqKv7cKaGt9cIEph3jEYjXV1dLum5pzoi6Eq3xHkDPTg4OIwu3svLi9mzo+nr6xaf\nsUajRa83UFdX4XCN8PAo+vv76OxsE48pFErCwxOoqSlCqbySyZNKpSQlZVBcfMalw2Hb9CvQaDQE\nBAQgl6u4cOE8fX19YoZQyBg2NtbR22skMDBEzFSq1Wqs1m7CwgyT8jxdwRWdvbPo5tUoxad6HAvO\nvau+A/txYf/uCWNJWKw///xzMjMz6evrIysri29961szrqEfvjzzpAceTASzZs3i7bff5t///d95\n4IEH+NnPfkZLSwtge+d37NjBrl27xIDY1YKCk4mR+nHcDWG/cDVBZCHIKLAmCr/NyJiLWt1Nd3en\nw3nDw6OJjk7ivfdeJygomPDwWIfPZTI5y5atobu7i5ycLPH4uXPZeHt7kZAwD4DIyBiWL19PaWk+\nOTlZ4vrW1HSJixerSE1d4eLZSEhLi2XevHkj3rcQOBOCtxORhBnJ8f3FL37Bfffdh5+f35jOZ49D\nhw5RU1NDVFQUoaGh7Nq1i3/84x8sXLhw3Of0YOow81b7CcDb25uuri6HY52dnfj4+EyTRaNDLpfz\n4x//mH379lFYWMimTZs4deqUQwO+ffanu7tbZDybKLGAOzGaar29I+UcLZpOjNS429XVJUavAAfy\nhejoMMxmR5HfyMh4amvLHY5JpVIiIhKorMx3OB4fP5v6+lpMJqPD8aioOGQyLVVVRSPaazYPUFNT\nxtat/4rVaiI39yRms5n+/n6RHbGmppzw8Bg0Go3Yv2QyDaDRDKLXu65Ln0wIzJLOoptdXV0uHeyp\nyFSOhpEITezHhX0WTbiv4uJibrvtNj7++GM++OADHn74YbeW67gbX7Z50gMPxguJRMLy5cvZu3cv\nN9xwA9u2bWP37t0cOHCAP/zhD7z44os0Nzej0+mGBQXdJZJ7LRAyHnK5fEoEhUcTRDYajSOSdNhY\nSFPp7a0VSZcEaDRarFbLZUbZ4VAqVSxffhPt7S3k5R2hvr6GpqYaMjJWO3zPz8+f66/fTH//AIcP\nf0BbWzMFBaeIj58rUq/bo7OzhvT0+KuuHUIA2Nvb2yWZ0rU40SM5vqWlpZw9e5a77777qucYDffe\ney+VlZXk5uaSl5fHD3/4QzZt2sTnn38+ofN6MDX4SjlUs2bNwmKxOKT38/LySElJmUarrg4/Pz9+\n8Ytf8Mc//pGXX36Z73znO9TW1qJUKikoKODee++lt7fXoanU29t7yiP5V4OQmXBVriDQXU922dlY\noVAoHJjfBNhTigsTtb+/P15eVozGfvF7tmxUv0M2CiA+PonGxlqHckBvbx8CA8OprCwYZse8eUso\nLy8c5mwJKCg4jcEQgcEQwooVGxgcHCAn57iYubQRT9SRkDDboX+us7OFhISwaXVUBMdqtHEx3Q62\nPewXXvtxMTQ0xKFDh8jOzkahUNDc3MwDDzzA448/zvPPP88f/vAHgoODRznzzMCXdZ70wIPxQiqV\ncuutt3LkyBH8/Pz49re/DcBPfvIT5syZMyxACVdK4tzBAjoaBNkJYFgZ4mTDlSCyfQDU1bys1+tZ\nvDiBlpbz4nPp7++lpOQsW7bcxcCAiYKCUy6vZ3Oq1nHp0iU++eSvpKevRKkcHnxSqzUsXXoDBkMc\n77//Bi0tdcyenTFsv9Pe3kx4uGJM8659+eNYnWjBmbJ3fK1WKw8//DC7d++e8DqrVqsxGAziP8H5\n8/f3v/qPPZh2fKUcKq1Wy6233srjjz9OX18fR44cYc+ePROOGkwV4uPjefvtt7nvvvvYvn07S5Ys\n4aabbmLPnj28/vrr4ss6ODjoUIo0E2Df1yVMyBKJRJwATSaTWyi13Qlh8bDPPAjPWMhY2WsgSSQS\nZs0Kp6urRTyHTU8jlurqYodza7Xe6PUh1NaWOhyfNWsu1dVlw56Dv38gBkM0BQWnh9nZ2FhLU1Mj\n8+YtYmjIytCQlfnzr2dw0MTp01lYLBYuXKjAxycAhULpMC4slg7Cw4eL/04lhCig/bgQnrOQyZxp\nY1mQBrAfF/v37+eOO+7g5ptvZtGiRWzcuJEtW7bw0UcfkZqaOqOCG6Phyz5PevDlhclk4nvf+x4x\nMTH4+vqSkZHBp59+OmXXVygU9PX10dLSgr+/P9nZ2ezbt8+BHde5n1nI3LhDJsQZrnqVpgNClYB9\ndkyYt12t2dHRUSQm+nLpkq33Ny/vFGFh0QQFhbFkyWrq62uoqnLdk6lUqlAqFWg0PtTWlo7owEgk\nEoKDI9BqvdFq9Zw+vZe+vh4H+wYG6khNTRzX3DtWJ1rQtAQcKhD++c9/kpiYOG5Wv9HwxBNPeAgp\nvkT4SjlUAC+//DJ9fX0YDAbuuusufv/7388EKuBrRnFxMb/5zW/IycmhoKAAjUbD9u3b+f73v4+P\nj49Dc6W9tsR0YbS+Lh8fH3x8fBzKp6arRt3ZZue6cSFS5+Pjg06nc5hg7XvCwsNDsVo7HCbbmJhE\n6uurhy088fGzqa4udlgw/PwC8PUNoqpqeJYqJSWDpqZGWlsvicf6+nrIyztOaupSQCKKNcvlcpYu\nzcTPz4/Tpw9RW1tBXFySaLOth6sdf3/VsH6ZqYI94YRzmepI/UrjbRR2FwQiEkGnRiiN8fHx4aab\nbuKHP/whOp2OkpISioqKePHFFzl9ergTPNPxZZ8nPfhywmKxEBUVRVZWFp2dnTzzzDP8y7/8C7W1\ntVNy/fPnz/PUUzZdzr/9xyRjuAAAIABJREFU7W/8z//8D3v27OHWW28lLy/PoQrE3WQGruCqV2k6\nIaxhQpWDfd+o/ZotkUhIS0shIMBMSUkeXV2tzJlj6/PRaLQsW7aWsrJ8Ghurh12jrKwQsLJt270M\nDAxy4sQnLnWqBgcHyc09TmJiCps23Y23dwgHD35AWVkuVquV1tY65swJwtfXd0L3fC1O9EhEFL29\nvbzwwgs8/fTTX5qAmgeTh68UbfqXHRaLhdjYWOrq6lCpVPzkJz/hvvvu44033uCzzz7jkUceYfXq\n1QDDtCXGq/szUXuvlXLalVbRVNClO9vgTPc+Gs38SFoWp0/n09Ghw9f3ShreRpUeSVzcHIdzfPHF\nByQlpREeHicea21t4vTp/dx447ZhpYZVVWWcP5/HmjW3YLVaOXLkI/T6MBIT5zgs9kqlEqnU9rc+\ncWIvx48f5Jvf/Dbh4VFi02xTUzWLFoWQkJAw6cyP9nClzaRUKsW6defvutJJUalUk0r97wxXGjUC\nbTvAmTNnePLJJ0lPT+enP/0pf/7zn9m9ezfd3d14eXlRX18/4YXdA8BDm/61Q1paGk8++SRbt26d\n1OsMDQ2xYcMGPv30U+644w7efPNN8XhRURGPPPIIXl5ePPbYY0RFRTn8brwyIaNBqDQBXJadTzX6\n+/sxmUyiMwlcdc3u6+vjlVfeJDBwjqixKKCp6SLZ2QdZuHA1BkM4AG1tLZw4sY9Vqzbh7e2L1Wol\nJ+cYnZ3NLFlyo8gMODQ0RHHxOaqri7jxxn8Rta86OlrJyzuBydTNvHlh3HLLWrc7oq72NXK5HLPZ\njEQiwcfHR1yXnnjiCVJSUsQSUg++FhhxjZI9+eSTo/1w1A89cC+kUine3t5ERkbyj3/8g9tuuw29\nXs/q1atZv349L774In/5y19ITU0lODhYdFwsFgtWq1Usm5LJZJO6ERV0POxLIFQqldgj5erawqQk\nTH6Dg4OizhIw6TZbLBZxwRAigmq1WhQ4HMlmhUKBQqHAarVitVoZHBxEKrVSVdWIThco/k4uV1JR\ncY7Y2DlO55BTXV1EdHSSeEyr9aKpqQmjsYvAQMdyPL0+gIaGejo6LlJWlodMpiElJQMAqVSGSiXo\nk11xQisrC0lKmk9NTTFdXd0EB4cikUgwGutJS0vCarViNpuRSqVIpdJJ1XUymUwO0UyhR20k4hSJ\nRCI6iEJEVLDXYrGINk8WBEffvnbefizX19fz4IMPcuzYMX71q19x55134ufnx+rVq/nBD36AVCpl\n7dq1rFu3btJs/JrhqXH85kl3G+HB1ODSpUs8/vjjPP744wQEBEzqtaxWKxcuXKC4uJh3330Xb29v\nwDYHGQwGbr/9dgICAnjwwQcpKSkhIyNDDAKNNEcNDg4ik8nGPEcNDQ3R19fH0NCQ6KRMJ4Q1HRD7\nqezX7KGhIXH9s1+zlUolCQlR1NbWo1T6IpNdcQq9vLzx9vYjN/cI/v7BKJUqjh/fT2LiXIKDbdTn\nEomEsLAojEYT584dw9c3EC8vH9raWsnJOczChWvx9fUX1w61Wkt0dCIDAx0sWxaHweB+9lqpVIpC\noUAmkzE4OCjeO+CwhykrK+P1119n9+7dnuzU1wsjrlGeDNWXCENDQ5w9e5YdO3aQmJjIww8/TEBA\nwLiFgccKW83ygFvUx6dKyNWdwn5C5MpsNvP558dRq+Px8dGJJSH79n1AevoyMRoHtkX888/fYcGC\nVQ5ihW1tLZw69Tlr1942LMLW2FjDm2/+lrlzF7B8+Tpx4XLl+DU21pKfn82NN96CxWLi3LkTtLRc\nIiIiiuuuiyMpKWFY9meikVVnuDOC60qAcjKyr64yY/ZClz09PbzwwgtkZWXxzDPPsHr1as+iOTXw\nZKi+JrBYLKxfv57ExER++9vfTtl1+/v7RyV/sFqtvP322/zyl7/ktttu4/vf/76Dw+OOaguTyUR/\nf/+wjMd0YGhoSCzDVyqVIz6b0dbsurp6jhypICQkycGpAqitraKw8DR+fsHAIMuWrXd5/vr6GvLy\njhIbm0x9/QX8/YNIT18pVmIIaGmpJzy8jyVL3N+z5Az7ZwOwc+dO8vPzefrpp/n5z3/Oc889x/z5\n8yfdDg9mFL4ewr6TgZdffplFixahVqv5zne+M622SCQSFixYwGeffcYNN9zAN7/5TV566SUsFsuI\nwsDuqPcWqKNHohMfz2LgqkbdnT1hgpaUPbGAPbPPeGwWtCy8vLxITo6ko6OJgYEBcVMeG5tERYUj\nVbpUKiU+PoWyshyH4/7+gej1YQ7HjcZecnKOcPLkF6SmrsRiMSKTSUUhYVcliaWlOcyalXq5Bl/N\nwoWrychYSXd3A6GhhmF/J3drrQg9R660mcbjtF2NgckdNtv3xTkL8w4NDfHGG2+wceNGZs2axaFD\nh1izZs20bnhm0hzkgQfuwNDQEHfddRcqlYoXX3xxSq99NSY9qVTKt771LbKyslAoFKxbt46///3v\nYrDIFZmBKy2nkWBPvT3e9dOdMJlMDj2uI2G0NTskJJj09FAuXaocRjIRFRVHeHgCx49/TkzMyH2a\n4eHRrFy5kezsY5SX5xIXN2+YM2U09iGVXiQ1ddbEbvoaIVTSCPjHP/7B4cOHWb16NdXV1dPWn+zB\nzISn5O8qaGhoYPXq1eh0OiwWC1u2bJluk5BIJMyZM4d77rmH7OxsduzYQUBAALNmzRIbJoVU9URK\np4SJv7+//5pLuMYKIb0ulUodbB5vKYW9zcLELlBzuyP7JZR/+PrqKC+vQKm09VFZLBa8vHSUleVh\nMESgVmswm80MDPSjVmsoLs7By8sHuVyOxWLGbDah0Wg4c+YwQ0ODlJae49y5E8hkGtLSVjB7dird\n3T00N9c49F/Z4/z5YtrbO0lLW+xwXwMD/aSmhpCYGCfa7FxuKZSIWq3WcZVbCk62sIEQFuPRSijH\ngtFsHm9Zq3OpqkCeImSlsrKyuPfeewkMDOSVV15hyZIlM0KYdybOQZMIT8nf1wDf/e53aWxs5J//\n/OeU6C6NB3K5nGXLlrFt2zbee+89nn/+eaKiooiKihIZbF2VhJtMJpHJ1NUcJaynQhZ/Oh0qgTgI\nuGb5ipHWbF9fHVZrD3V1LXh768X7GhwcpLAwm1mz0qmqKsLPLwgvL9ead93dXTQ2VhMdPZfz5/NQ\nqTT4+tpKQYeGhmhuLmXZsugpoRG3L8tUqVR4e3uzfft2BgYGyM3Npampid/97ne0tLSwcOFCse/M\ng688PCV/E8Vjjz1GfX09f/rTn6bblGFoaWnhySefpLS0lKeffprU1FSAYaVT9iVNo8FVScNUkF4I\n5V5C9G6iNl/rb8eL3NxCKisH8fUNYGBggObmi5w9e4L29ouEhkZhtQ6iVNrKQFpamujpaScqapaY\nyZFIZDQ2XkQqHSQj43pCQsLx8fFFqVQgkUgxm00cOvQRMTHRJCSkOlzbZDLyxRcfsHDhGgIDr9SR\nDw0NcfFiIZmZaSMqtrsqEb3WkhVXvx1v2edY4IogZCI225fElpeX8+STT+Lt7c3OnTsdGtJnEmby\nHORGeEr+vuL44Q9/yLlz59i3bx9arXa6zblm1NTU8Nhjj9He3s4TTzzB7NmzHeY8ZzIDV4RHQkYf\nbALb062/19fXh9lsRi6Xo9VqxzyHO5doW61WcnOLaGqSExpqC+jl55+lp6eNZcsyqa+vJS/vGGlp\ny4YFCgcHB9m79z3Cw2OZPXshbW1N5OUdw8tLy7x5yxgY6CUszFbqNxVOqFB94lyW+eSTTxIUFERB\nQQH/7//9P4aGhtDpdFRUVBAUFDTpdnkw7Rhx8M0slVUPxoXAwEBeeuklioqK2LFjB3q9nieeeIKQ\nkBCUSqXoaJjNZsxm84gb4KnqXxkJQrmXQqEQN8Az2eb4+ChKSk5RWdlMTU0pEomM8PAIBgZ6mTdv\nKaGh0WJWbHBwkH373mX+/BUEBYWJmhZms4mDB/+Jn58Of/8AhxIHhULJ4sVrOXbsY7y8/AgNvbLR\nz809QlBQpIMzBdDe3kRkpPeIzhQ4CjALTorJZMJkMl31OY/H2XUHhFJC+z6+8dhs74S1t7fz/PPP\nU1hYyP/9v/+XRYsWTXv5jQcefJVRW1vLK6+8glqtFsVYJRIJf/jDH7jjjjum2brRER0dzZ///Gdy\nc3N55JFHCAkJ4ZFHHiE01NYbK5SE2yoTBsTsj5CJkslkLqm3pwvOukrj1XISepKFfUZqajKnTuVR\nV1eBVuvHhQtlXH/9ZgDCw6NQqdRkZx+gv7/HIVCYn5+NQiEnMTENmUyGwRDG2rW3UFqaT1bWRyQl\nGdiw4RtTMkfbl2UKsi9gI6IQtMukUikPPvggO3bswMfHx+NMeeBxqL5KmDNnDh988AGff/45d911\nFzfeeCM//elP0Wq1KJVKcfMsOCv2tNCuqKvdTV5wrRA2/ILNFotFtFmYvGeCzT4+PigUvbS2drJ4\n8Vr8/Q1YrVaUSm9qa8sIDLQ5TgqFArnctlDk5x9n2bINos1KpYq0tOWUlOQQEhKNs2+i0/kyf/71\n5OQcQKVS4+9voKamjI6OLtasud7hu7Zyk0vMnbvgmuy3d1LG+pyF0r6phkwmuyabnUky7J1ss9nM\nK6+8wltvvcXPfvYzfvWrX82I0j4PPPiqIyoqakQh1y8DJBIJ8+fP56OPPuKzzz7jnnvuYdWqVTzw\nwANiFkOpVKJQKMRAn9C3KpVKxeqE6Wb1G0lXabwQSr6FNXvRolROnszjyJEcYmKS0Wqv9BoFBhpY\nvnw9p059QVdXO+np19Ha2kx1dRErVmx2CI7JZHJmz07Hy2uQpUtDR+3xcicEZ0oul4t7JKvVyn/+\n53+ye/ducb1ITU3l448/dqiM8eDrC88u4isGiURCZmYmhw8fJjw8nPXr1/O3v/0NQCQLsG8o7e7u\npru7e5iQ6UzQxRhJXHEm2bx27XXExUWh19uiU1KplHnz5tPZ2UZPT4eYJenv78dgCGNgYJDq6hIx\nsqdWq4mJSUCr9ae42LVAbHBwGLNnL+HUqQNUVRVRWJjNwoWrhvUetLY2kJwcPOZG2ZGec1dX14jP\nebqjq6PZLBBYOJNkSCQSPvnkE9atW4fFYiErK4tt27Z5nCkPPPBgTJBIJHzjG9/g8OHDJCUlsWnT\nJl599VUHHTtnch177cPpFC8HxP5Zdzt3wnyr1+tZtmw+s2b5odF40d9vE6QXblun07Fq1Xr6+40c\nOvQBJ07sIzFxPr6+AQ6SIAAtLReYPduPxMREF1d0P+wzd/YEJnv27CE2Npb09PRhv5luB9mDmQHP\nTuIrCrlczr333su+ffsoLy9nw4YNHD9+XMwuHDp0iA8//FBUAQfExsupFIG9FgilFMKkNZNs1uv1\nREV509HRIh5TKlUkJMyjoiJXzJgIJAhz5y6iqqoQmUziUFs/f/4y6utraG5udHmd6OgEwsNn8d57\nbxAdnYy/f6DD5/39vSiVHSQlxY/7XoTnbB8FvJJJU+Ll5TVjx4a9zQJ5RX5+vsiQWFBQwDe/+U32\n7dvHnj17eOihhzyLoAceeDAhyGQyvv3tb3P48GH6+/tZt24d//znPx0YAZVKJbm5ueJvLBbLNTMC\nTgamgmVQJpPh7+/Pt761ldBQMxcvVotkURbLIENDtnVy2bIb6OkxUllZiFKpHhYk7OvrQaFoZt68\npBGu5F44Z+6EYFtvby+//OUveeaZZ2bU+ufBzILHoboKhNKiwcFBsbzIHdTNUwVfX19+/vOf8+c/\n/5lXXnmFjRs3snbtWu644w4eeeQRkeEHrjRhzrSSDIEC3VVafWBgwIHRbzowZ048RuNFBxvi45Pp\n7OziwoVKh+8GBBjw8wsmN/eIw/c1Gi0pKcs4e/YQRmMfzmhqqqeuroJVq7ZSU1NObW25+JnVaqWt\nrZrFi5Mn5CQIC619z5EAQbBXoKCfKRDISOxtHhoaYuvWrWRmZrJ06VJuueUWnnrqKXbv3s3vfve7\nSRGDnEx82ecgDzz4qkOj0bBjxw4+/PBDjh8/zs0338zJkycZGhri/fffZ8OGDTzwwAOiYDjY1q7u\n7m6RuXSqIDgMAkPhZEKj0bBmzXISEpQ0N59ncNDCwIARo9HGdNjV1c7goJHMzDuoqMgnO3u/uP5Z\nrVba2ytYvDhxyoJfQuZOyDAK2LVrFz/60Y+mhF3Qgy8vPA7VVfDss8+i1Wp5/vnn+etf/4pWq2Xn\nzp3TbdaY0d7eTldXF4cOHSI7Oxu9Xs+Pf/xj/Pz8LvcC2SZWQU/DnuRhuiA09TprSel0OnQ6nUOP\nz3RG/Pz8/EhI0NPWdunyBt9GlpCQME8s49NqtSJ1e0rKAi5daqS6uszhOUdGxmAwxHH27CHR2bJY\nLBQWnuLs2SzS069j0aLrWLIkk+LiAs6ezcJkMtHUVENysp6QkJBx2W9fSikw4SkUCnx8fNDpdJOm\nYTURCKWUwli1t9nb25u77rqLkJAQiouL2bdvHx0dHbS2tk6rzePFV2UO8sCDrzqCgoL49a9/zSuv\nvMLvf/977rnnHh566CEAFi5cKMqOeHl5iaV/9vqLk71+CTIqwJT1IykUCpYvX0haWgBtbTanSljb\nT506TGxsCrGxydx44zeRyzUcOPAOlZUF/7+9+45r6l7/AP45ISSMxC0iojjRWvesVetoK0LR1l6q\nddZR97pqqwIyRFBxVKvWVm+99uqvV+rqtXXUVQXUOisoxYE424qKFyWBJJDk/P7wntMEwwpJzgk8\n7798AZ7zzTrfPOf7fJ8HT57ch7+/0up5rbyKK0SRkZGB8+fPY+zYsQ4ZB3FeVDa9Cti5cyeGDRsG\n4EUhhTlz5sDPzw9ffvklRo8ejbFjx0Iqlb7UCd1S2VdHKE9Z76LltE2rDjlyzHl5efjhh9NQKJpD\nKn0RnEqlUvz662l4enqiXbvX+b9lWRYPHtxBSkoyXn89EO7uCv5uIcuyOH36CORyKWrUqI07d65D\nqayLDh1eg4fHX707Cgp0SE09i6dP76N379YYMKB3ufc1cf1DTAPR4iokClGWvjh6vd5sVdK0GInR\naMSePXuwYcMGjBkzBjqdDvHx8cjOfpGSuWbNGvz973936HhJuVDZdGIzo0ePxrFjx6DRaODt7Y1P\nP/0UEyZMcMi5WZbFyJEjsWPHDvj7++PQoUNmwYGl6689C/6wLAuVSgWWZeHm5ubwlGeWZXH79l2c\nP38PCkVDPHhwFw8eZKJXr0GQyWT8nP306WOkpp5FnTpGTJz4gcPGaVpCnuspZTQaMXToUMTGxqJT\np04OGQcRvWLnKAqoqgCVSoVXX30VQ4cOxcKFC1Gnzov9NxqNBqtXr8aBAwcQGhqKN998E8DLFdIc\nVdWtIl/ay9IDxF5j5ibFjIxMXL2aCx+fFpDJZJBIJNBo8pGY+CM6d+6HunXrm/3f1NRzyM7+He3a\n9YZWm4f8/Fzk56uQk5ONq1d/ha9vY/Tu/Q68vOpbPPfTpw/BMPfRv3+3cheiKBqUcJUVSyvqUZEe\nVhVVNODnKktxq6sXLlxAdHQ0unbtivDwcL50vEqlwtq1a7FhwwZcunQJvr6+dh0nqRAKqIjNpKen\no2nTpnBzc8PNmzfRp08fHDx4EB07drT7uVNSUtClSxewLIuVK1di165dCAgIwIwZM8z6bzmqJYVW\nq4VOp4NEIoFCoRBsL9Djx4+RlHQVZ85cRZcub/EFnQDwFXEfPvwNPXs2cFhPQNP+YEqlkn/ef/jh\nByQnJ2PDhg20d4pwKKCq6nQ6XbF3eh4+fIhFixYhKysLMTExeOWVVyz2d7LXioStekmxLGsxGLRH\nKXVL52JZFmfOpIJlG0Kp/KsP1IMHd5GefgEdO/aGSpWD58//i/x8FfLz83Dr1k24ukrQsGEruLl5\nQKGoiRo16qB27bq4dOkk6tatg7ZtXzd7zlmWxePH91CzZh569epQrtSNkoKS8kwYpv2gOPZq8Fta\nM+F79+4hOjoaRqMRy5cvR7NmlgtzlPQZIKJBARWxixs3bqBfv35Yt24dQkJC7Houo9GI119/HefO\nncOsWbPw+eefo7CwEP/85z/x9ddfY8KECRgxYoTZvFTczSpbFI4wGAxQq9UAIIoKvo8ePcLPP/8C\nna4OGjRoBZYFfzP0v//NQqNGOvTq5Zi+gCzLQq1Ww2g08pV3gRdZJ0FBQTh8+LBVe6f69u2Lc+fO\n8Zknvr6+uHbtmq2HTxyPAioxKSgowLRp03Ds2DHk5OSgWbNmWLp0KQYOHCjYmFiWRWpqKhYsWIDG\njRsjPDwcderU4ffXFPdltqLntEcvKXsHg0VXw0yDkpycHBw9moq6dVtDKnXFs2fZuHPnBlJSLkCn\ny0P79m+gZs16UCqrQamsDldXGc6ePYaaNWuhTZse/9ug/CJAe5HWdwYyGdChwxvw8FAgLy8Xz57d\ng7+/Eu3bv1Lm56m0oMRalgI0W6VclnbnVqVSYfXq1Th79ixiY2PRu3dvwe8iivGz7WQooCI2NX36\ndHzzzTfQaDTo1KkTkpKSzFaI7OHAgQMIDg6Gj48Prl27ZpZBwF23Dh8+jPnz5+Ptt982m5dsncbO\nsiy/79XV1dXuj700RqMRKpUKRqMRWVlPcPVqFtzcGkKprIW8PBVyctLw1lvtoVAoHJJlwhU1YhiG\n7yUGAIsXL4a/v7/VKaL9+vXDmDFjMG7cOFsOlwiPAioxyc/Px6pVqzBu3Dg0bNgQBw4cwPDhw5GW\nluawJe7iGI1G/Pjjj4iLi8OQIUMwZcoUyOVym61sAJZXd+yRomcphbAi6WllDR5u3ryFU6fuICsr\nC2q1Fg0atICvbxPcuJEKwIBu3cwnUK1Wg7Nnj8HDww0dO/YFw4Cv/GQ0srh27RKys+/B3785fHw8\n0KlTizJXqrP1c1AcSymXcrncZu8P0xVLvV6P//u//8PWrVsxc+ZMjBw5UvC+WBwxf7adBAVUxOZY\nlsUvv/yCkydPYsGCBQ5JX9+3bx9cXV3xzjvvWPybrKwsREdH4/bt24iKikKHDh3MrpUGgwEajcbi\njbvyXFO5PogMw0ChUAjedy8vL49veO/h4YHc3Fz8+ut1PHoEGAwsunatDW/venbPMgH+Cu4A8EWj\nAODWrVuYPXs2jh07ZvV7pV+/fhg9ejTGjx9vs/ESUaCASuzat2+P6OhoDBkyROihAHhxEd64cSO+\n/fZbzJkzB4MHD4ZEIrH4xbkse284Ja3u2OsuVEXv+JV3dYdlWXz//Y/4/XcZ2rbtwV+QDQYDfvnl\nOCQSPbp0GcBXKXzxOz0uXEiESvUErVt3g0wmh06Xi8LCXLi4aFG7thx+ft5o2bJlmS7w5Sk4YSu2\nCJSLfokw/f8AkJiYiLi4OAwYMADz5s2DQqGwy2OxJbF9tkWOAipiN1OnTsWrr76KGTNmCD0U3rVr\n1xAWFga5XI7IyEg0btyY/11F09hNC1G4u7ubzTlCKCws5Fu1mO5VYlkWf/75J7KynqJjxzZgGMYm\n2wBKU1whimHDhiEmJgadO3e2+tj9+vVDeno6WJZFy5YtERsbiz59+thq6EQ4FFCJ2aNHj9CkSROk\npKTA399f6OGYefr0KWJiYpCWlobFixfzm3nL+2XdnqlhZVXeO34VKZJRWFiI5ORf8exZTdSp48P/\n3Gg04vLl0/jvf/9EmzY9IJXKYDSqAeRDIimAXq+FXM6gVaumqFbNk58ETfs/lbbCxL02jrjDZ4k1\nqZylBb03btxAVFQUatWqhbi4ODRo0MAhj6WixPzZFikKqIjdTJw4EQqFAmvWrBF6KGZYlkVycjIi\nIyPRoUMHfPLJJ2b7dqy9QabRaFBQUAAXFxd4enoKmhJtTZVBe2ZYFFeI4scff0RiYiK++OKLCj1f\nFy5cQOvWrSGTybBjxw7MmDEDqampaNKkSYXGTQRHAZVY6fV6BAYGokWLFti4caPQwynW9evXERoa\nCk9PT0RHR8PHx6dMF7uiX5QB+xUvKIuy3PGzVZEMrVaLM2dS8fSpJ7y8/P53102HZ88eIzv7Jlxc\nNHj99Y6oXbs6FAoFPDw8ip0kLD2Pbm5uZgGpLdMybaEsz2Nx7yFuI/bTp0+xfPly3Lx5E8uWLUPn\nzp0F3ydVVs7y2RYZCqiITTx58gQ///wzgoOD4e7ujqNHjyIkJAQJCQnFpuEJzWg0Yvfu3Vi1ahWG\nDBmCyZMnmxUdKs9NPtOAQaFQCJ4WXZEqg7beA1xcIYr8/HwEBgZaXYiiJIGBgQgODsb06dNtelzi\ncBRQiRHLshg+fDjUajX27dsn+AWvNCzL4vjx44iKikLfvn3x97//HZ6enhZXF2QyGf+FmuOo8tpl\nUdwqiqurK98tnftZRVZ3CgsL8euv6bhzRwOJxB0y2TO0auWDBg28oVQqSz9AEcWt9BkMhhKDLSFZ\n+hIglUohlUqLDbYKCgrwj3/8A7t27cKCBQswZMgQUbxvysrZPtsiQgEVsYns7GyEhITgypUrMBqN\n8PPzw+zZs51iT0tBQQG++uorbN++HVOnTsUHH3xgdg0pLcAwLUQhk8ng7u4uxMPg2arKoK0yXYor\nRBETE4PmzZvj448/tmp8JQkKCkJQUJCo0k2JVSigEqPx48fj/v37OHjwoOC5zeVhMBiwdetWbNq0\nCRMnTsTw4cPh4uICg8GAJ0+eIDc3F/Xq1eP/3t57dyrC0pd94MWFmtsbZotqdQ8fPoRWW4CGDRvw\nG18rorCwEBqNBkU/v2IKWouy9CWA+7lSqeQb8x48eBCrVq3CsGHDMGPGDKcsde6sn20RoICKkP95\n9uwZ4uPjkZycjPDwcLzxxhsvFa6wFGAAsBgwCIFlWeTn55sVoqioivSdLKkQxaxZs3D8+PEKf1d5\n/vw5zp07hz59+kAqlSIhIQFTpkzB5cuX0bx58wodmwiOAiqxmTJlCq5cuYJjx44JXsbUWrm5uYiP\nj0diYiJCQ0ORnp6HJaJhAAAgAElEQVSOlStXokuXLtiyZQv/d45qDGyNohOSKTGt8piylErHcfR+\nqfKw9Fzv3LkTUVFRmDFjBvr3749ly5bB398fixcv5htQO5vK8NkWEAVUhBTx4MEDREZG4vHjx4iO\njkbr1q3N5qWiAQZHTIUobF1l0NqCHZYKUbAsi2HDhiE6OhpdunSp8Niys7MRFBSEGzduwMXFBa1a\ntUJsbCz69+9f4WMTwVFAJSb3799H48aNzVZtGIbBpk2bMHz4cIFHVz5GoxHr16/HokWL+CX9Tp06\nYf/+/XBzc3NIY2BrFLe3i0tDE8s+JFPFTSByuZxf/TF9ruVyuSiC2OJ6mUkkEgwbNgxHjhzhfzZ/\n/nxERETYZBVPCJXpsy0QCqgIsYBlWVy5coXvEblo0SL4+PiY/V6v1/NV9IDyV+G1NWsKUVhzjrLu\neS6uEMX+/ftx4sQJbNy4UfB5nogeBVTE9k6fPo3p06cjNTUVANC4cWO0b98efn5+WLBgAWrUqGG3\nhrLWKmvVoKKV8oSemEoqJ849j5YCFyFTAEtrsJyfn4/169fj0qVLyMzMxPXr1wEAzZs3x9q1a0W7\ncZzYFQVUhJSAZVkcO3YMixcvxuuvv445c+agevXqAIATJ04gOTmZ7x/JESrt3pFVBksr2CFEIQpS\nKRX7JhZ+qYA4rYKCAqSmpsLX1xdbtmxBRkYG9u7dix49euDdd9/F5s2bYTAY4O7uDoVCwQcjOp0O\nKpWKb17rCNzFVqVS8RdcqVQKhUIBd3f3lwIOV1dX/ncMw8BoNCIvL4/f6OsoRqMR+fn5UKvVMBgM\n/IqZQqF4adWM2/elVCr5FZ6CggKoVCqz4hv2xhX8UKvV/HldXFz4SoYAkJCQgMDAQPj4+OA///kP\n0tPTsWvXLvj7++PWrVvIyclxyFgJIcSZMAyDt99+G4mJiWjbti0GDx6MTZs2QaVSYc6cOYiPj0dC\nQgKqVavGB1V6vR5qtRoajYa/SWhvBoOBv7nHVW21J25uVCqVfJpjYWEhP//pdDoYjUazfWYAsHr1\nakyePJmCKVJhtEJFKuS7777D4MGDX6oipNFosHbtWuzbtw8LFy7E22+/DYZhoNfrzS7q9t7zw325\n5y6m1pzTnr0wSjqnpdWm8kxMQpRRL60x79mzZ7F48WL06NEDYWFh/J1Vjl6vx65duzBs2DBRpIYS\nh6MVKkLKQavVYt26dUhISMDly5fRrFkznD9/nl+BESJLRAxVBovbH226rywzMxMzZ860SSEKUmVQ\nyl9VMHr0aBw7dgwajQbe3t749NNPMWHCBEHHlJWVhcjISDx48ABLlizBK6+8AqD8jYGtUZFKQJY4\nYmIqLU3OGrZ+HiwprTHv3bt3ERkZCRcXFyxbtgxNmza1yXkrQoyfF0IBFXFeGRkZaNeuHT744ANs\n27bNYee9c+cOWrduDa1Wi4CAAHzyySfo0aNHqRUB7XWDraCgABqNRhRVBrl9Zdx8unnzZjRq1Agh\nISEYPnw4oqKi0LVrV8HGR5wOBVRVQXp6Opo2bQo3NzfcvHkTffr0wcGDB9GxY0dBx8WyLK5evYoF\nCxagQYMGWLRoEby8vEpt6mote08c9ji+tRWLynP8iq7UFXfcklbvnj9/jtWrV+PChQuIi4tDz549\nRbPpV6yflyqOAiritAICAqDVauHn5+ewgIplWQwePBj79+/HiBEjsGTJEoSHh0Or1SIyMhItW7Y0\n+3t732AzLUQhhiqDpoUoHj9+jO7du0On06Ft27Zo3Lgx9u3bJ5o5iTgF2kNVFbRu3Zpf5mdZFgzD\nIDMzU+BRvQg42rVrh4MHD+K9997Dhx9+iM8++ww6nY7PeS6658dSSfDSmO434oIduVzO51Tb6qLJ\nbbD19PSEi4sLWJaFRqOBWq02qxpYVtwFPz8/H0ajERKJBB4eHhVqgFgU12xZoVDwAavBYLB6Xxi3\nklbcnjSj0YgtW7Zg8ODB6NixI06cOIFevXqJauIS6+eFEOJ8EhISULNmTbz55psOPe++ffuwf/9+\nVKtWDatXr0bTpk3x73//G6GhoViwYAHmzJmDR48e8X/PlQvn9g5z82ZeXp7F9iHlZbpvVuhqrdzc\nDLz4LtC4cWMsX74cXl5euHr1Kn788UcMGjQIaWlpgo6TVA4UUFUy06dPh6enJ1555RX4+PggKChI\n6CHxGIZBcHAwkpOTUb16dQQEBGDPnj0AXjTYUygUfICi1Wr5AKW0wIq7aKpUKj6gkclkUCqVdt0M\nazoxcYUruImpLAFK0b8vqeCErXCpeEql0uoNy1wAyDUWlkgkfIApkUhw/PhxBAQE4Pnz50hMTMTI\nkSNFux9KzJ8XQohzyM3NRVRUFD777DOHFf/hZGZmQiqVIi4uDt7e3gBeXOe7deuGn376CYMGDcLI\nkSOxfPlyfqWmpBts+fn5VhdeMi1Ewc2LQiooKOBvUsrlcri6umLSpEkYN24c3nvvPSgUChw4cADt\n27fHhAkTbBJQkqpLnN9yiNW++OILqNVqnDp1Cu+//75d+j5UlKurK2bOnInDhw/j8uXLGDRoEC5e\nvMh/Mffw8DC7c1bcBd60ch93ETetzueIL/HcxMQFb8BfAQq34lSU0Wh8KQA0DXIcMQmZVkQqa0XA\nopUOuaqCXAXHa9euYdiwYfj++++xd+9eLFq0SPSNbZ3h80IIEbfIyEhMnDjRrC+Uo8ybNw9paWmY\nOnXqS7+TSCQIDg5GUlISGjVqhKCgIGzdutUsXb3oDTauQmt5KwKargbJZDLBizxw+3oB8yqDmZmZ\nOHv2LHbv3o3MzExMnz6dT08Xqi0KqRxoD1UlNnXqVLz66quYMWOG0EMp0c2bNxEaGgqZTIbFixfD\n19eXTynjLojAX8UZGIZ5qaiFvasFllVJhSsAFPuYhF7BsbQvjCsqAcBiY14u+MvOzkZcXBzu3r2L\n5cuXo0OHDoLfmbSGs3xeKjnaQ0WcSkpKCkaNGoWUlBRIpVIsXrwYmZmZDi1KUVZqtRpr1qzBgQMH\n8OmnnyIgIMBs7imu4X1ZbvSJqRAF8KK/VGFhIZ9JArwI+j788ENERESgW7du/N9mZGTA1dUVjRs3\nFmi0xIkU+8amcLwS0+v1TrEnxN/fH7t378bJkycxfvx49OrVC3PnzuVT37gApbCwEIWFhWAYhg+k\n7FGxriK4BsAymYwPULiiDabjdnFxgbu7u+B38TjcvjDTDctc7w7Tmy6mAaBOp8OmTZvw/fffIyws\nDIMGDRI8MKwIZ/m8EELEIzExEffu3UOjRo345rEGgwHp6em4ePGi0MMzo1AoEBERgUmTJiEmJgYb\nN25EVFQUOnfuDIZh+P27pjfYuPm3pMJLxa0GCUWv1/NBoWnJ9kOHDsHHx+elqn4tWrRw6PhI5eS8\n336ImSdPnuC7775DXl4ejEYjDh8+jISEBLz11ltCD61MGIZBv379kJiYiJYtW+Kdd97Btm3b+EpB\nGRkZWLt2LQCYlRP39PS0a18la3EBCpcGCPw1brlcDg8PD9EEU6akUik8PDz4FTVuzA8fPsT169f5\nFL59+/YhICAAbm5uSE5OxrvvvutUwZSzf14IIeIwefJkZGZmIiUlBampqZgyZQqCg4Nx5MgRoYdW\nrHr16uGLL77Axo0bsW7dOowbNw63b9/mf29aeEkikbxUeKloZpOYC1Fw85JGo8GKFSuwdOlS0X1f\nIJUDpfxVEtnZ2QgJCcGVK1dgNBrh5+eH2bNnY/z48UIPzSoqlQorV67EgQMH4OXlhZ9++gnAiy/y\n3bp1E12qX1GWmgqKeYWKYyn179GjR+jSpQv0ej369u2L/Px8dO/eHVFRUahdu7bAI7ZOZfu8VCKU\n8kecmphT/ixhWRanT59GREQE2rRpg/nz55td17mWG0VT7Ln5y7QsOVdYSkg6nQ5arRYSiQQKhYIP\nnuLi4uDn54dJkyYJOj7i9Cjlr7KrU6cOTp48KfQwbKagoABqtRppaWkoKCiATCbDqFGj0L59eyiV\nSv4Cz1UmEstepLLsodLpdDAYDFCr1aIad9HceTc3N77c/MyZM7F582acPHkSEokEbdu2NdsL5mwq\n2+eFECIOUVFRQg+hXBiGQa9evXD8+HHs3bsXISEhGDx4MKZMmcJX6pPJZHB1deX3AHPzl1Qq5QtX\nyOVywYOp4lIPb9++jVOnTiEmJkbI4ZFKznlydEiVcf/+fTRr1gxr1qxBQUEBRo4ciZ07d+Lu3btY\ntWoVnj17xlfWM61MpFKp+FLejsaVei9acdC0dLtpRSWu2AM37uIq6zly3EVLzsvlcuTn52P9+vU4\nd+4cvvnmG0ybNg0SiQRbtmxBixYtcOnSJYePmRBCiG1JJBKEhITg1KlTqF69OgYOHIhvv/2Wr7Br\naf7S6/V8QCV0A18AfDAllUr51EOWZREWFoaVK1cKHvCRyo1S/ojosCyLAQMGgGEYxMfHo2PHjgBe\n3H3as2cPVqxYgQ8//BATJkyATCZ7aXXFtEKdvXOlLaVDSKVSuLm5lXrxFvO4DQYDEhISsHnzZkye\nPBljx47l0yozMjIQFhaG69evIyUlhSYpYkuU8keICDx//hwrV67EiRMnEBoain79+pnNSxqNxiwT\nw5HzlyWmqYdKpZLP+jh48CCOHDmCTZs20d4pYgvFvokooCKipFaroVAoLP5Oq9Xi888/x969ezF/\n/ny+9KtphTrgrwqA9tokq9frzXp1cBX+yrufq7hx26tyoaXzcePm8umXLFmC3r17Y+HChahWrZrF\n45T0GhFiJQqoCBGRP/74A5GRkfjzzz8RHR2NNm3agGEYjBs3Dnl5eXxDYW4e5HocOrJYFFdd0Wg0\nQi6X88WgNBoNAgMDcfDgQdSpU8chYyGVHgVUpOIyMjLQrl07fPDBB6LYcPv48WNERUXh9u3biImJ\nQZs2bQD8FTBwF/iyrhiVlaXCDRWdQFiWfWncti64YWlFzHTcmZmZiI6Ohlwux9KlS0XXk0Ns7z9i\nFxRQESIyLMsiLS0N4eHhqF69OoKCgjBixAjI5XKcO3cOzZs3t/v8VZLiClEsXboUDRs2xOTJk606\nbkJCAmJiYnD//n3Ur18f33zzDXr27GnLoRPnQwEVqbiAgABotVr4+fmJ6gttWloaFixYgHr16mHR\nokXw9va22BhYJpOZlVEtr5IKTtjqThw3btP+TxUtXMGyLN8Ly9K4nz17hhUrViA1NRVLly7Fa6+9\nJsrUCLG+/4hNUUBFSAn69u2Lc+fOwdXVFSzLwtfXF9euXXPIuVmWxZEjRzB8+HDk5ORg3rx5ZoUe\nKpICby2j0QiVSgUA8PDw4DNS7ty5g2nTpuHnn3+26txHjx7FpEmTsHPnTnTt2hUPHz4EANSvX992\ngyfOqNg5iopSkDJJSEhAzZo18eabbwo9lJe0adMG+/f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"text/plain": [ "<matplotlib.figure.Figure at 0x7fcebd785410>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,6))\n", "\n", "ax = fig.add_subplot(1,2,1, projection='3d')\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "ax.view_init(30, 45)\n", "\n", "ax = fig.add_subplot(1,2,2, projection='3d')\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "ax.view_init(70, 30)\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Backends" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib has a number of \"backends\" which are responsible for rendering graphs. The different backends are able to generate graphics with different formats and display/event loops. There is a distinction between noninteractive backends (such as 'agg', 'svg', 'pdf', etc.) that are only used to generate image files (e.g. with the `savefig` function), and interactive backends (such as Qt4Agg, GTK, MaxOSX) that can display a GUI window for interactively exploring figures. \n", "\n", "A list of available backends are:" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[u'GTK', u'GTKAgg', u'GTKCairo', u'MacOSX', u'Qt4Agg', u'Qt5Agg', u'TkAgg', u'WX', u'WXAgg', u'CocoaAgg', u'GTK3Cairo', u'GTK3Agg', u'WebAgg', u'nbAgg', u'agg', u'cairo', u'emf', u'gdk', u'pdf', u'pgf', u'ps', u'svg', u'template']\n" ] } ], "source": [ "print(matplotlib.rcsetup.all_backends)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The default backend, called `agg`, is based on a library for raster graphics which is great for generating raster formats like PNG.\n", "\n", "Normally we don't need to bother with changing the default backend; but sometimes it can be useful to switch to, for example, PDF or GTKCairo (if you are using Linux) to produce high-quality vector graphics instead of raster based graphics. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Generating SVG with the svg backend" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#\n", "# RESTART THE NOTEBOOK: the matplotlib backend can only be selected before pylab is imported!\n", "# (e.g. Kernel > Restart)\n", "# \n", "import matplotlib\n", "matplotlib.use('svg')\n", "import matplotlib.pylab as plt\n", "import numpy\n", "from IPython.display import Image, SVG" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#\n", "# Now we are using the svg backend to produce SVG vector graphics\n", "#\n", "fig, ax = plt.subplots()\n", "t = numpy.linspace(0, 10, 100)\n", "ax.plot(t, numpy.cos(t)*numpy.sin(t))\n", "plt.savefig(\"test.svg\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/svg+xml": [ "<svg height=\"432pt\" 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"source": [ "#### The IPython notebook inline backend" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When we use IPython notebook it is convenient to use a matplotlib backend that outputs the graphics embedded in the notebook file. To activate this backend, somewhere in the beginning on the notebook, we add:\n", "\n", " %matplotlib inline\n", "\n", "It is also possible to activate inline matplotlib plotting with:\n", "\n", " %pylab inline\n", "\n", "The difference is that `%pylab inline` imports a number of packages into the global address space (scipy, numpy), while `%matplotlib inline` only sets up inline plotting. In new notebooks created for IPython 1.0+, I would recommend using `%matplotlib inline`, since it is tidier and you have more control over which packages are imported and how. Commonly, scipy and numpy are imported separately with:\n", "\n", " import numpy as np\n", " import scipy as sp\n", " import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The inline backend has a number of configuration options that can be set by using the IPython magic command `%config` to update settings in `InlineBackend`. For example, we can switch to SVG figures or higher resolution figures with either:\n", "\n", " %config InlineBackend.figure_format='svg'\n", " \n", "or:\n", "\n", " %config InlineBackend.figure_format='retina'\n", " \n", "For more information, type:\n", "\n", " %config InlineBackend" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "%config InlineBackend.figure_format='svg'\n", "\n", "import matplotlib.pylab as plt\n", "import numpy" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/svg+xml": [ "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n", "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n", " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n", "<!-- Created with matplotlib (http://matplotlib.org/) -->\n", "<svg height=\"256pt\" version=\"1.1\" viewBox=\"0 0 381 256\" width=\"381pt\" 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xlink:href=\"#BitstreamVeraSans-Roman-2e\"/>\n", " <use x=\"95.41015625\" xlink:href=\"#BitstreamVeraSans-Roman-36\"/>\n", " </g>\n", " </g>\n", " </g>\n", " </g>\n", " </g>\n", " </g>\n", " <defs>\n", " <clipPath id=\"p33057e3db6\">\n", " <rect height=\"223.2\" width=\"334.8\" x=\"33.8625\" y=\"12.0390625\"/>\n", " </clipPath>\n", " </defs>\n", "</svg>\n" ], "text/plain": [ "<matplotlib.figure.Figure at 0x1085c4890>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "# Now we are using the SVG vector graphics displaced inline in the notebook\n", "#\n", "fig, ax = plt.subplots()\n", "t = numpy.linspace(0, 10, 100)\n", "ax.plot(t, numpy.cos(t)*numpy.sin(t))\n", "plt.savefig(\"test.svg\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Interactive backend (this makes more sense in a python script file)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#\n", "# RESTART THE NOTEBOOK: the matplotlib backend can only be selected before pylab is imported!\n", "# (e.g. Kernel > Restart)\n", "# \n", "import matplotlib\n", "matplotlib.use('Qt4Agg') # or for example MacOSX\n", "import matplotlib.pylab as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Now, open an interactive plot window with the Qt4Agg backend\n", "fig, ax = plt.subplots()\n", "t = np.linspace(0, 10, 100)\n", "ax.plot(t, np.cos(t) * np.sin(t))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that when we use an interactive backend, we must call `plt.show()` to make the figure appear on the screen." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further reading" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* http://www.matplotlib.org - The project web page for matplotlib.\n", "* https://github.com/matplotlib/matplotlib - The source code for matplotlib.\n", "* http://matplotlib.org/gallery.html - A large gallery showcaseing various types of plots matplotlib can create. Highly recommended! \n", "* http://www.loria.fr/~rougier/teaching/matplotlib - A good matplotlib tutorial.\n", "* http://scipy-lectures.github.io/matplotlib/matplotlib.html - Another good matplotlib reference.\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 0 }