{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Basics of plotting in python (matplotlib)\n", "\n", "Further reading:\n", "\n", "- M. Newman's textbook http://www-personal.umich.edu/~mejn/cp/chapters/graphics.pdf\n", "- matplotlib documentation https://matplotlib.org/stable/index.html" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Preliminaries: import matplotlib and set default styles\n", "import matplotlib.pyplot as plt\n", "\n", "# Default style parameters (feel free to modify as you see fit)\n", "params = {'legend.fontsize': 'large',\n", " 'axes.labelsize': 'x-large',\n", " 'axes.titlesize':'x-large',\n", " 'xtick.labelsize':'x-large',\n", " 'ytick.labelsize':'x-large',\n", " 'xtick.direction':'in',\n", " 'ytick.direction':'in',\n", " }\n", "plt.rcParams.update(params)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Line plots" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from numpy import linspace,sin,cos\n", "\n", "\n", "# Take 100 equally spaced points between 0 and 10 and store them as a list\n", "numpoints = 100\n", "x = linspace(0,10,numpoints)\n", "\n", "# Calculate the value of sin(x) and each point and store in a list y\n", "y = sin(x)\n", "\n", "# Make a plot and show the results\n", "plt.plot(x,y)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let us improve the presentation by adding the axis labels\n", "\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"sin(x)\")\n", "\n", "plt.plot(x,y)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# By default the data points are connected by lines\n", "# We can also plot the points themselves by using scatter style\n", "\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"sin(x)\")\n", "\n", "# First the line plot\n", "plt.plot(x,y)\n", "\n", "# Then, the scatter plot\n", "plt.plot(x,y,\"o\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Multiple plots\n", "# Let us plot both sin(x) and cos(x)\n", "\n", "numpoints = 100\n", "x = linspace(0,10,numpoints)\n", "\n", "# Calculate the value of sin(x) and each point and store in a list y\n", "ysin = sin(x)\n", "ycos = cos(x)\n", "\n", "# Make a plot and show the results\n", "plt.xlabel(\"x\")\n", "plt.plot(x,ysin)\n", "plt.plot(x,ycos)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Add a legend when there is more than one quantity plotted\n", "\n", "plt.xlabel(\"x\")\n", "plt.plot(x, ysin, label = 'sin(x)')\n", "plt.plot(x, ycos, label = 'cos(x)')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Use different line styles\n", "\n", "plt.xlabel(\"x\")\n", "plt.xlim(0,10)\n", "plt.plot(x, ysin, label = 'sin(x)', linestyle = '-.')\n", "plt.plot(x, ycos, label = 'cos(x)', linestyle = '--')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Scatter plots\n", "\n", "In a scatter plot one places a dot for each (x,y) point in the data set\n", "\n", "Useful for marking observations\n", "\n", "For example the scatter plot the distribution of bright and surface temperature of stars (from Mark Newman's book http://www-personal.umich.edu/~mejn/cp/chapters/graphics.pdf)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 6.83145085e+02 1.57300000e+01]\n", " [ 6.83145085e+02 1.70100000e+01]\n", " [ 1.01283217e+03 1.58600000e+01]\n", " ...\n", " [ 1.27621641e+04 -1.37000000e+00]\n", " [ 1.42023258e+04 -2.77000000e+00]\n", " [ 1.47860721e+04 1.04600000e+01]]\n", "[ 683.14508541 683.14508541 1012.83217289 ... 12762.1641452\n", " 14202.3258475 14786.0720701 ]\n", "[15.73 17.01 15.86 ... -1.37 -2.77 10.46]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from numpy import loadtxt\n", "\n", "# Load the start brightness-surface temperature pairs from file\n", "data = loadtxt(\"stars.txt\",float)\n", "\n", "print(data)\n", "\n", "x = data[:,0] # The first column from file\n", "\n", "y = data[:,1] # The second column from file\n", "\n", "print(x)\n", "print(y)\n", "\n", "plt.scatter(x,y, color = \"blue\", alpha = 0.25)\n", "\n", "plt.xlabel(\"Temperature\")\n", "plt.ylabel(\"Magnitude\")\n", "\n", "plt.xlim(0,13000)\n", "plt.ylim(-5,20)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another example: Sample of uniformly distributed points inside a unit square (from matplotlib docs https://matplotlib.org/stable/gallery/shapes_and_collections/scatter.html#sphx-glr-gallery-shapes-and-collections-scatter-py)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "\n", "# Fixing random state for reproducibility\n", "np.random.seed(19680801)\n", "# np.random.seed(3)\n", "\n", "N = 50\n", "x = np.random.rand(N)\n", "y = np.random.rand(N)\n", "\n", "# Random color\n", "colors = np.random.rand(N)\n", "\n", "# Random size\n", "area = (30 * np.random.rand(N))**2 # 0 to 15 point radii\n", "\n", "plt.xlim(0,1)\n", "plt.ylim(0,1)\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.scatter(x, y, s=area, c=colors, alpha=0.5)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Contour/density plots\n", "\n", "Used to visualize two-dimensional data, e.g. two-dimensional functions $f(x,y)$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For example, the electric potential of a dipole reads (dimensionless units)\n", "\n", "$V_{dip} (x,y) = \\frac{1}{\\sqrt{(x-x_1)^2+(y-y_1)^2}} - \\frac{1}{\\sqrt{(x-x_2)^2+(y-y_2)^2}}$\n", "\n", "Here $(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of the poles" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-5,5,200)\n", "y = np.linspace(-5,5,200)\n", "\n", "x1, y1 = -2., 0.\n", "x2, y2 = 2., 0.\n", "\n", "X, Y = np.meshgrid(x, y)\n", "\n", "Vdip = 1./np.sqrt((X-x1)**2+(Y-y1)**2) - 1./np.sqrt((X-x2)**2+(Y-y2)**2)\n", "\n", "#plt.contourf(X, Y, Vdip, 10)\n", "plt.title(\"Electric potential of a dipole\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "\n", "CS = plt.contour(X, Y, Vdip, levels = np.linspace(-0.5,0.5,11))\n", "#plt.contourf(CS)\n", "plt.clabel(CS)\n", "plt.show()\n", "\n", "# Fill the levels\n", "fig2, ax2 = plt.subplots(constrained_layout=True)\n", "ax2.set_title(\"Electric potential of a dipole\")\n", "ax2.set_xlabel(\"x\")\n", "ax2.set_ylabel(\"y\")\n", "CS2 = ax2.contourf(CS, levels = np.linspace(-0.5,0.5,11))\n", "fig2.colorbar(CS2)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Another example using imshow (good for interpolating colors)\n", "\n", "plt.title(\"Electric potential of a dipole\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "CS3 = plt.imshow(Vdip, vmax=1.5, vmin=-1.5,origin=\"lower\",extent=[-5,5,-5,5])\n", "plt.colorbar(CS3)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Animation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us animate the motion of a projectile thrown at an angle $\\theta$ with initial velocity $v_0$\n", "\n", "We have for the velocity\n", "$\n", "v_x(t) = v_0 \\cos(\\theta)\n", "$ and\n", "$\n", "v_y(t) = v_0 \\sin(\\theta) - gt\n", "$.\n", "\n", "For the position coordinates\n", "$$\n", "x(t) = v_0 \\cos(\\theta) t\n", "$$\n", "and\n", "$$\n", "y(t) = v_0 \\sin(\\theta) t - \\frac{g t^2}{2}\n", "$$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { 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", 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