{ "metadata": { "name": "", "signature": "sha256:56df15cfdd81467dc7a958f0df9d010eafba17042622d26650de11646b71072e" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "import json\n", "import matplotlib\n", "s = json.load( open(\"styles/qutip_matplotlibrc.json\") ) #edit path to json file\n", "matplotlib.rcParams.update(s)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image, HTML" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "HTML('''\n", "The raw code for this IPython notebook is by default hidden for easier reading.\n", "To toggle on/off the raw code, click here.''')" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "The raw code for this IPython notebook is by default hidden for easier reading.\n", "To toggle on/off the raw code, click here." ], "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Plotting in Python Using [Matplotlib](http://matplotlib.org)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "P.D. Nation and J.R. Johansson\n", "\n", "For more information about QuTiP see [http://qutip.org](http://qutip.org)" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Introduction" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Being able to plot high-quality, informative figures is one of the necessary tools for working in the sciences today. If your figures don't look good, then you don't look good. Good visuals not only help to convey scientific information, but also help to draw attention to your work. Often times good quality figures and plots play an important role in determining the overall scientific impact of your work. Therefore we will spend some time learning how to create high-quality, publication ready plots in Python using a Python module called [Matplotlib](http://matplotlib.org)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image(filename='images/mpl.png',width=700,embed=True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "width": 700 } }, "output_type": "pyout", "png": 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ZK5bzQ5ZZ9JlWlqda8pSds+8jcSUB6XLxE/QUjAn1y4uN+Im+LX5vCOoStp/0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4tnK5VKmU4riTFGG6QXT66fts3hzfcMPaEVxhS50YlMeP5yjCuN0TNUgBLO8y4sXyA/gt9Pe8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8D1uZm5eDyxYf2G6anpluIGM9PzdM7OTS9sWr9ZK9RKzXPOOC8MVWGh5MrEpnVblY5KizXX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Cs78MKL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\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y9WvW6/oeInlLo2NH7SAVFiWWLP5ZbZyw/yHVO+xQ09poFud/ddY5x8+f1zRmXDCVylx9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totsnkhU87JBwbduI2JpuyJ4mK7IIpB6KHIfOabCmHy9L/pCgAwlphhK2SXuhT7XsOLwZDdqB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"prompt_number": 18, "text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Basic 2D Plotting\n", "-----------------\n", "Before generating plots in Python we must first load the main Matplotlib module." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from pylab import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us also import numpy so we can use arrays and mathematical functions" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from numpy import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Drawing Lines\n", "Plotting a simple function, such as a sine function, is easy to do. All we need are two arrays, one for the x values, and one for the f(x) values" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x=linspace(-pi,pi)\n", "y=sin(x)\n", "plot(x,y)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Here, the plot command generates the figure, but it is not displayed until you run ```show()```. If we want, we can also also add some labels to the axes and a title to the plot. While we are at it, lets change the color of the line to red, and make it a dashed line." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x=linspace(-pi,pi)\n", "y=sin(x)\n", "plot(x,y,'r--') #make line red 'r' and dashed '--'\n", "xlabel('x')\n", "ylabel('y')\n", "title('sin(x)')\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here the 'r' stands for red, but we could have used any of the built in colors:\n", "\n", "- 'b': blue\n", "- 'g': green\n", "- 'r': red\n", "- 'c': cyan\n", "- 'm': magenta\n", "- 'y': yellow\n", "- 'k': black\n", "- 'w': white" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "We can also specify the color of a line using the color keyword argument" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x=linspace(-pi,pi)\n", "y=sin(x)\n", "plot(x,y,'--',color='0.75') # Here a string from 0->1 specifies a gray value.\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "x=linspace(-pi,pi)\n", "y=sin(x)\n", "plot(x,y,'-',color='#FD8808') # We can also use hex colors if we want.\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "The style of the line can be changed from solid: ```''``` or ```'-'```, to dashed: ```'--'```, dotted ```'.'```, dash-dotted: ```'-.'```, dots+solid: ```'.-'```, or little dots: ```':'```. One can also use the 'linstyle' or 'ls' keyword argument to change this style. We can disply all of these variations using the **subplot** function that displays multiple plots in a grid specified by the number of rows, columns, and the number of the current plot. We only need one ```show()``` command for viewing all of the plots. To make the plot look good, we can also control the width and height of the figure by calling the ```figure``` function using the keyword argument 'figsize' that specifies the width and height of the figure in inches." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x=linspace(-pi,pi)\n", "y=sin(x)\n", "figure(figsize=(12,3)) #This controls the size of the figure\n", "subplot(2,3,1) #This is the first plot in a 2x3 grid of plots\n", "plot(x,y)\n", "subplot(2,3,2)#this is the second plot\n", "plot(x,y,linestyle='--') # Demo using 'linestyle' keyword arguement\n", "subplot(2,3,3)\n", "plot(x,y,'.')\n", "subplot(2,3,4)\n", "plot(x,y,'-.')\n", "subplot(2,3,5)\n", "plot(x,y,'.-')\n", "subplot(2,3,6)\n", "plot(x,y,ls=':') # Demo using 'ls' keyword arguement.\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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c5HuAt6WUWcC7nuP+kMAFUsozBwqQjSIncxw5mWPpcLp5YPMxOl1uo5ukKS63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\nvvlm3ex3k52dbQr79W0ONrVMorbVQUb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5GIxA0Ku/fHjDqF4W7XRLgkbRzPLxpg6e3VmB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\nxdPzqGxoY7LOgFdsRD17lKGZqQy3fJeV6sHXHuSrZj9fNfu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"text": [ "" ] } ], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "If we want to change the width of a line then we can use the 'linewidth' or 'lw' keyword arguements with a float number specifying the linewidth" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x=linspace(0,10)\n", "y=sqrt(x)\n", "figure(figsize=(12,3))\n", "subplot(1,3,1)\n", "plot(x,y)\n", "subplot(1,3,2)\n", "plot(x,y,linewidth=2)\n", "subplot(1,3,3)\n", "plot(x,y,lw=7.75)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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7ZrPW9YS5G5/Zyb+2lNLqsCzJiueRK2Zww4KxPh0MS95vID+fVFqv7mlqc/DD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\n1lq7sq9t9exJLK5pZkNxHWHBhoum+66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"text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "If we want to plot multiple lines on a single plot, we can call the plot command several times, or we can use just a single plot command by entering the data for multiple lines simultaneously." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x=linspace(0,10)\n", "s=sin(x)\n", "c=cos(x)\n", "sx=x*sin(x)\n", "figure(figsize=(12,3))\n", "subplot(1,2,1)\n", "plot(x,s,'b') #call three different plot functions\n", "plot(x,c,'r')\n", "plot(x,sx,'g')\n", "\n", "subplot(1,2,2)\n", "plot(x,s,'b',x,c,'r',x,sx,'g') #combine multiple lines in one call to plot\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JwUnpxLTu02xuT3227U2zF29ezPqS9bw18C2ztd9UzZZkWa73zg9tRJLUwGZg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\nrVjsljI9t4oRdgHuEJNzP4JrBDOz30xA6yxuS9nmdj7nTb3z105/LXA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"text": [ "" ] } ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Setting Axes Limits\n", "Suppose we want to limit the range of either the x-axis or y-axis, or both. In Matplotlib we can use the ```xlim``` and ```ylim``` functions to accomplish this." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x=linspace(-pi,pi,100)\n", "figure(figsize=(12,3))\n", "subplot(1,3,1)\n", "plot(x,sin(x),lw=2)\n", "subplot(1,3,2)\n", "plot(x,sin(x),lw=2,color='#740007')\n", "xlim([-pi,pi]) #change bounds on x-axis to [-pi,pi]\n", "subplot(1,3,3)\n", "plot(x,sin(x),'^',ms=8,color='0.8')\n", "xlim([-1,1]) #change bounds on x-axis to [-1,1]\n", "ylim([-0.75,0.75]) #change bounds on y-axis to [-0.75,0.75]\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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0jmVtfjHf5xVxTX/vF0opFFbClQwOmT6V0MhIk6OxHkOmT+W7Z/7G3owVFOXn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\na8uCrSf4OOcET6T2NDskPt3unGWe1K+tSpgVfkf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"text": [ "" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Saving Figures\n", "Now that we know how to make good looking plots, it would certainly be nice if we knew how to save these figures for use in a paper/report, or perhaps for posting on a webpage. Fortunately, this is very easy to do. If we want to save our previous figure then we need call the ```savefig``` function." ] }, { "cell_type": "code", "collapsed": true, "input": [ "x=linspace(-pi,pi,100)\n", "figure(figsize=(12,3))\n", "subplot(1,3,1)\n", "plot(x,sin(x),lw=2)\n", "subplot(1,3,2)\n", "plot(x,sin(x),lw=2,color='#740007')\n", "xlim([-pi,pi]) \n", "subplot(1,3,3)\n", "plot(x,sin(x),'^',ms=8,color='0.8')\n", "xlim([-1,1]) \n", "ylim([-0.75,0.75]) \n", "savefig('axes_example.png') #Save the figure in PNG format in same directory as script" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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c30t0JMwYY/oYYy4xxjRwfGnCHES0QoZ/0aRZZevs2fMJYqgnzXD+MdDSc8qf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\nPglUuTtx6BCrx08EdGqGUr6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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "```savefig``` saves the figure with the name and extension that is given in the string. The name can be whatever you like, but the extension. ```.png``` in this case, must be a format that Matplotlib recognizes. In this class we will only use the Portable Network Graphics ```.png``` and PDF ```.pdf``` formats." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Using Shapes for Data Points\n", "In addition to lines and dots, Matplotlib allows you to use many different shapes to represent the points on a graph. In Matplotlib, these shapes are called **markers** and just like lines, their color and size can be controlled. There are many [basic types of markers](http://matplotlib.org/api/markers_api.html), so here we will demonstrate just a few important ones: '*': star, 'o': circle, 's': square, and '+': plus by evaluating \n", "the Airy functions." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.special import airy #Airy functions are in the SciPy special module\n", "x = linspace(-1,1)\n", "Ai,Aip,Bi,Bip = airy(x)\n", "plot(x,Ai,'b*',x,Aip,'ro',x,Bi,'gs',x,Bip,'k+')\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also chage the size of the shapes using the 'markersize' or 'ms' keyword arguments, and the color using 'markercolor' or 'mc'." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Other Kinds of 2D Plots\n", "-----------------------\n", "So far we have made use of only the ```plot``` function for generating 2D figures. However, there are several other functions for generating different kinds of 2D plots. A collection of the many different types can be found at the [matplotlib gallery](http://matplotlib.org/gallery.html), and we will highlight only the more useful functions." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(-1, 1., 100)\n", "figure(figsize=(6,6))\n", "subplot(2,2,1)\n", "y=x+0.25*randn(len(x))\n", "scatter(x,y,color='r') #plot collection of (x,y) points\n", "title('A scatter Plot')\n", "subplot(2,2,2)\n", "n = array([0,1,2,3,4,5])\n", "bar(n, n**2, align=\"center\", width=1) #aligns the bars over the x-numbers, and width=dx\n", "title('A bar Plot')\n", "subplot(2,2,3)\n", "fill_between(x, x**2, x**3, color=\"green\") #fill between x**2 & x**3 with green\n", "title('A fill_between Plot')\n", "subplot(2,2,4)\n", "title('A hist Plot')\n", "r=random.randn(50) # generating some random numbers\n", "hist(r,color='y') #create a histogram of the random number values\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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4RlW/iNBuM7AXqANqVXVIsjq9Jtl882gvO+PJk/JyqKykvnPnhph7Xa9eIHI4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\nh69af5K9rxGjRo3SqqoqunbtCkDbtm3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"text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The color and size of the elements can all be controlled in the same way as the usual ```plot``` function." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Additional Sources of Information\n", "----------------------------------\n", "\n", "- [MatplotLib Gallery](http://matplotlib.org/gallery.html) : A gallery of figures showing what Matplotlib can do.\n", "\n", "- [Matplotlib Examples](http://matplotlib.org/examples/index.html) : A long list of examples demonstrating how to use Matplotlib for a variety of plotting.\n", "\n", "- [Guide to 2D & 3D Plotting](http://nbviewer.ipython.org/github/jrjohansson/scientific-python-lectures/blob/master/Lecture-4-Matplotlib.ipynb) : A guide for plotting in Matplotlib by Robert Johansson." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "

End of Tutorial

\n", "

Return to QuTiP Website

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open(\"styles/style.css\", \"r\").read()\n", " return HTML(styles)\n", "css_styling()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 31, "text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 } ], "metadata": {} } ] }