{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "*This notebook contains material for CBE 20258 Numerical and Statistical Analysis taught at the University of Notre Dame. (c) Professors Alexander Dowling, Ryan McClarren, and Yamil Colón. This collection of notebooks [cbe-xx258](https://ndcbe.github.io/cbe-xx258) is available [on Github](https://github.com/ndcbe/cbe-xx258).*\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [1.6 Linear Algebra with Numpy and Scipy](https://ndcbe.github.io/cbe-xx258/01.06-NumPy.html) | [Contents](toc.html) | [1.8 Manipulating Data with Pandas](https://ndcbe.github.io/cbe-xx258/01.08-Pandas.html) >

\"Open

\"Download\"" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "MElKNIbuqnWJ", "nbpages": { "level": 1, "link": "[1.7 Visualization with matplotlib](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7-Visualization-with-matplotlib)", "section": "1.7 Visualization with matplotlib" } }, "source": [ "# 1.7 Visualization with matplotlib" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 1, "link": "[1.7 Visualization with matplotlib](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7-Visualization-with-matplotlib)", "section": "1.7 Visualization with matplotlib" } }, "source": [ "**Reference**: Chapter 1 of *Computational Nuclear Engineering and Radiological Science Using Python*, R. McClarren (2018)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "OS9TuD7EhSZQ", "nbpages": { "level": 2, "link": "[1.7.1 Learning Objectives](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.1-Learning-Objectives)", "section": "1.7.1 Learning Objectives" } }, "source": [ "## 1.7.1 Learning Objectives\n", "After studying this notebook, completing the activities, and asking questions in class, you should be able to:\n", "* Add multiple lines to a single plot\n", "* Specify the color, style, width, and other properties of a line\n", "* Add title, legend, and axes labels\n", "* Save figure to a PDF, download from Vocareum\n", "* Add grid lines\n", "* Look up advanced formatting options in matplotlib documentation and examples" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "esDQO0J4qnX7", "nbpages": { "level": 2, "link": "[1.7.2 Matplotlib Basics](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2-Matplotlib-Basics)", "section": "1.7.2 Matplotlib Basics" } }, "source": [ "## 1.7.2 Matplotlib Basics" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "2Qts69sjqnX8", "nbpages": { "level": 2, "link": "[1.7.2 Matplotlib Basics](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2-Matplotlib-Basics)", "section": "1.7.2 Matplotlib Basics" } }, "source": [ "Matplotlib is a simple plotting tool that allows you to plot the arrays from NumPy. We already saw an example above. Matplotlib is designed to be intuitive, easy to use, and mimic MATLAB syntax.\n", "\n", "As an example, let's plot the cardinal sine function: $$\\mathrm{sinc}(x) = \\frac{\\sin(x)}{x}$$" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 294 }, "colab_type": "code", "executionInfo": { "elapsed": 1067, "status": "ok", "timestamp": 1548774025086, "user": { "displayName": "Alexander Dowling", "photoUrl": "https://lh3.googleusercontent.com/-LChdQ2m5OQE/AAAAAAAAAAI/AAAAAAAAAA0/JeXJe4vQJ7M/s64/photo.jpg", "userId": "00988067626794866502" }, "user_tz": 300 }, "id": "_l35x8ggqnX8", "nbpages": { "level": 2, "link": "[1.7.2 Matplotlib Basics](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2-Matplotlib-Basics)", "section": "1.7.2 Matplotlib Basics" }, "outputId": "64af8290-1800-4439-b8dd-9a1a893cca55" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "

" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "%matplotlib inline \n", "import numpy as np\n", "#make a simple plot\n", "x = np.linspace(-100,100,1000)\n", "y = np.sin(x)/x\n", "#plot x versus y\n", "plt.plot(x,y)\n", "#label the y axis\n", "plt.ylabel(\"sinc(x) [arb. units]\");\n", "#label the x axis\n", "plt.xlabel(\"x [cm]\")\n", "#give the plot a title\n", "plt.title(\"Line plot of the sinc function\")\n", "#show the plot\n", "plt.axis([-100,100,-.4,1.05])\n", "\n", "# Save the figure to our Google Drive folder Colab-20258\n", "plt.savefig(\"figure.pdf\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "4VYY9B_AqnX-", "nbpages": { "level": 2, "link": "[1.7.2 Matplotlib Basics](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2-Matplotlib-Basics)", "section": "1.7.2 Matplotlib Basics" } }, "source": [ "Notice how I labeled each axis and even gave the plot a title. I also included the units for each axis. You should always do this in your work. Label-less plots are meaningless." ] }, { "cell_type": "markdown", "metadata": { "colab": {}, "colab_type": "code", "id": "NB4bHNJor4RG", "nbpages": { "level": 2, "link": "[1.7.2 Matplotlib Basics](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2-Matplotlib-Basics)", "section": "1.7.2 Matplotlib Basics" } }, "source": [ "
\n", "Class Activity: Locate and download the created PDF figure.\n", "
" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Ck5L2vnuqnX-", "nbpages": { "level": 3, "link": "[1.7.2.1 3b-i. Customizing Plots](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2.1-3b-i.-Customizing-Plots)", "section": "1.7.2.1 3b-i. Customizing Plots" } }, "source": [ "### 1.7.2.1 3b-i. Customizing Plots\n", "\n", "You can also change the plot type.\n" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 665 }, "colab_type": "code", "executionInfo": { "elapsed": 934, "status": "ok", "timestamp": 1548774122993, "user": { "displayName": "Alexander Dowling", "photoUrl": "https://lh3.googleusercontent.com/-LChdQ2m5OQE/AAAAAAAAAAI/AAAAAAAAAA0/JeXJe4vQJ7M/s64/photo.jpg", "userId": "00988067626794866502" }, "user_tz": 300 }, "id": "wo_szxVhqnX-", "nbpages": { "level": 3, "link": "[1.7.2.1 3b-i. Customizing Plots](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2.1-3b-i.-Customizing-Plots)", "section": "1.7.2.1 3b-i. Customizing Plots" }, "outputId": "a47b97ed-b2b2-44c8-d74e-cfc7215180c6" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-3,3,100)\n", "y = np.exp(-x**2)\n", "fig = plt.figure(figsize=(4,3), dpi=200)\n", "plt.plot(x,y,\"ro\"); #red dots on the plot\n", "plt.ylabel(\"$e^{-x^2}$ [arb. units]\");\n", "plt.xlabel(\"x [cm]\")\n", "plt.title(\"Plot of $e^{-x^2}$\")\n", "plt.axis([-3,3,0,1.05])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 665 }, "colab_type": "code", "executionInfo": { "elapsed": 627, "status": "ok", "timestamp": 1548774144055, "user": { "displayName": "Alexander Dowling", "photoUrl": "https://lh3.googleusercontent.com/-LChdQ2m5OQE/AAAAAAAAAAI/AAAAAAAAAA0/JeXJe4vQJ7M/s64/photo.jpg", "userId": "00988067626794866502" }, "user_tz": 300 }, "id": "GyQdPG_uqnYA", "nbpages": { "level": 3, "link": "[1.7.2.1 3b-i. Customizing Plots](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2.1-3b-i.-Customizing-Plots)", "section": "1.7.2.1 3b-i. Customizing Plots" }, "outputId": "5c8a653a-a27f-4206-d6d9-69e62fff641d" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-3,3,100)\n", "y = np.exp(-x**2)\n", "fig = plt.figure(figsize=(4,3), dpi=200)\n", "plt.plot(x,y,\"ko-\"); #black dots and a line on the plot\n", "plt.ylabel(\"$e^{-x^2}$ [arb. units]\");\n", "plt.xlabel(\"x [cm]\")\n", "plt.title(\"Plot of $e^{-x^2}$\")\n", "plt.axis([-3,3,0,1.05])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "h1bSX9ibqnYB", "nbpages": { "level": 3, "link": "[1.7.2.1 3b-i. Customizing Plots](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2.1-3b-i.-Customizing-Plots)", "section": "1.7.2.1 3b-i. Customizing Plots" } }, "source": [ "There are many options you can adjust for the plot. For a full list, see http://matplotlib.org/users/pyplot_tutorial.html\n", "\n", "Here are some more examples. One of the things you'll notice is that in matplotlib you can include LaTeX mathematics in your labels by enclosing it in dollar signs. In LaTeX to use Greek letters you use a backslash before the name of the letter, and other usually obvious characters. To find out how to do anything with LaTeX, just Google it." ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "colab": {}, "colab_type": "code", "id": "EfqYAOPOqnYC", "nbpages": { "level": 3, "link": "[1.7.2.1 3b-i. Customizing Plots](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2.1-3b-i.-Customizing-Plots)", "section": "1.7.2.1 3b-i. Customizing Plots" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-3,3,100)\n", "y = np.exp(-x**2)\n", "fig = plt.figure(figsize=(4,3), dpi=200)\n", "plt.plot(x,y,marker=\"*\", linewidth=0); \n", "plt.ylabel(\"$e^{-x^2}$ [arb. units]\");\n", "plt.xlabel(\"x (cm)\")\n", "plt.title(\"Plot of $e^{-x^2}$\")\n", "plt.axis([-3,3,0,1.05])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "colab": {}, "colab_type": "code", "id": "E801LxEIqnYE", "nbpages": { "level": 3, "link": "[1.7.2.1 3b-i. Customizing Plots](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2.1-3b-i.-Customizing-Plots)", "section": "1.7.2.1 3b-i. Customizing Plots" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-3,3,100)\n", "y = np.exp(-x**2)\n", "fig = plt.figure(figsize=(4,3), dpi=200)\n", "plt.plot(x,y,marker=\"\",linewidth=4,color=\"maroon\"); \n", "plt.ylabel(\"$e^{-x^2}$ [arb. units]\");\n", "plt.xlabel(\"x [cm]\")\n", "plt.title(\"Plot of $e^{-x^2}$\")\n", "plt.axis([-3,3,0,1.05])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "ucI1zoFTqnYH", "nbpages": { "level": 3, "link": "[1.7.2.2 3b-ii. Plotting multiple lines](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2.2-3b-ii.-Plotting-multiple-lines)", "section": "1.7.2.2 3b-ii. Plotting multiple lines" } }, "source": [ "### 1.7.2.2 3b-ii. Plotting multiple lines" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "ZiTCzHpoqnYH", "nbpages": { "level": 3, "link": "[1.7.2.2 3b-ii. Plotting multiple lines](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2.2-3b-ii.-Plotting-multiple-lines)", "section": "1.7.2.2 3b-ii. Plotting multiple lines" } }, "source": [ "You can also plot multiple lines on a plot. If you include the a label for each plot, invoking the legend command, which puts the legend on the plot." ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 299 }, "colab_type": "code", "executionInfo": { "elapsed": 605, "status": "ok", "timestamp": 1548774244823, "user": { "displayName": "Alexander Dowling", "photoUrl": "https://lh3.googleusercontent.com/-LChdQ2m5OQE/AAAAAAAAAAI/AAAAAAAAAA0/JeXJe4vQJ7M/s64/photo.jpg", "userId": "00988067626794866502" }, "user_tz": 300 }, "id": "-GcM4UloqnYH", "nbpages": { "level": 3, "link": "[1.7.2.2 3b-ii. Plotting multiple lines](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2.2-3b-ii.-Plotting-multiple-lines)", "section": "1.7.2.2 3b-ii. Plotting multiple lines" }, "outputId": "da4487f9-8a69-4404-c1c7-1e51a4144c19" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-3,3,100)\n", "\n", "# Line 0\n", "y = np.exp(-x**2)\n", "plt.plot(x,y,marker=\"\", color=\"r\", \n", " linestyle=\"--\", label=\"$\\sigma^2 = 1$\"); \n", "\n", "# Line 1\n", "y1 = np.exp(-x**2/2)\n", "plt.plot(x,y1,color=\"blue\", \n", " label=\"$\\sigma^2 = 2$\")\n", "\n", "# Line 2\n", "y2 = np.exp(-x**2/4)\n", "plt.plot(x,y2,color=\"black\", \n", " marker = \"+\", label=\"$\\sigma^2 = 4$\")\n", "\n", "# Add labels, title, legend, etc.\n", "plt.ylabel(\"$e^{-x^2/\\sigma^2}$ (arb units)\");\n", "plt.xlabel(\"x (cm)\")\n", "plt.title(\"Plot of $e^{-x^2/\\sigma^2}$\")\n", "plt.legend(loc=\"best\")\n", "plt.axis([-3,3,0,1.05])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "MPq9_MVjqnYJ", "nbpages": { "level": 3, "link": "[1.7.2.2 3b-ii. Plotting multiple lines](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2.2-3b-ii.-Plotting-multiple-lines)", "section": "1.7.2.2 3b-ii. Plotting multiple lines" } }, "source": [ "Fancier plots are also possible. We'll introduce whatever you need as we go.\n", "\n", "If you ever want to do something fancy in MatPlotLib, try starting with one of these examples: https://matplotlib.org/tutorials/index.html" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[1.7.2.2 3b-ii. Plotting multiple lines](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2.2-3b-ii.-Plotting-multiple-lines)", "section": "1.7.2.2 3b-ii. Plotting multiple lines" } }, "source": [ "
\n", "Class Activity: Create a plot that compares sine and cosine from -2 π to 2 π with the following formating rules:\n", "
" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[1.7.2.2 3b-ii. Plotting multiple lines](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2.2-3b-ii.-Plotting-multiple-lines)", "section": "1.7.2.2 3b-ii. Plotting multiple lines" } }, "source": [ "* Dashed red line for sine.\n", "* Solid blue line for cosine.\n", "* Legend located in the lower left corner.\n", "* Label the axes with $x$ and $f(x)$\n", "* Add grid lines." ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "nbpages": { "level": 3, "link": "[1.7.2.2 3b-ii. Plotting multiple lines](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.2.2-3b-ii.-Plotting-multiple-lines)", "section": "1.7.2.2 3b-ii. Plotting multiple lines" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# YOUR SOLUTION HERE" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[1.7.3 Publication Quality Figures](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.3-Publication-Quality-Figures)", "section": "1.7.3 Publication Quality Figures" } }, "source": [ "## 1.7.3 Publication Quality Figures" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "nbpages": { "level": 2, "link": "[1.7.3 Publication Quality Figures](https://ndcbe.github.io/cbe-xx258/01.07-Matplotlib.html#1.7.3-Publication-Quality-Figures)", "section": "1.7.3 Publication Quality Figures" } }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [1.6 Linear Algebra with Numpy and Scipy](https://ndcbe.github.io/cbe-xx258/01.06-NumPy.html) | [Contents](toc.html) | [1.8 Manipulating Data with Pandas](https://ndcbe.github.io/cbe-xx258/01.08-Pandas.html) >

\"Open

\"Download\"" ] } ], "metadata": { "colab": { "collapsed_sections": [ "xCRFBLk3qnWw", "0b7S8aRkqnXL", "hVTWyRgyqnXT", "9CTmfuN6qnXe", "kHsSx8OcqnXt", "hIS0pUx9qnX3", "Ck5L2vnuqnX-" ], "name": "L4-NumPy-Matplotlib.ipynb", "provenance": [], "version": "0.3.2" }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 1 }