{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "6f478916", "metadata": { "execution": { "iopub.execute_input": "2024-04-15T14:17:02.394025Z", "iopub.status.busy": "2024-04-15T14:17:02.393859Z", "iopub.status.idle": "2024-04-15T14:17:02.934235Z", "shell.execute_reply": "2024-04-15T14:17:02.933672Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from IPython.display import HTML, Image\n", "from scipy.special import airy\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "id": "258ee0da", "metadata": { "execution": { "iopub.execute_input": "2024-04-15T14:17:02.936980Z", "iopub.status.busy": "2024-04-15T14:17:02.936559Z", "iopub.status.idle": "2024-04-15T14:17:02.941385Z", "shell.execute_reply": "2024-04-15T14:17:02.940920Z" } }, "outputs": [ { "data": { "text/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\n", "here." ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "HTML(\n", " \"\"\"\n", "The raw code for this IPython notebook is by default hidden for easier reading.\n", "To toggle on/off the raw code, click\n", "here.\"\"\"\n", ")" ] }, { "cell_type": "markdown", "id": "ac7b359c", "metadata": {}, "source": [ "# Plotting in Python Using Matplotlib" ] }, { "cell_type": "markdown", "id": "a4675794", "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": "markdown", "id": "657aa832", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "id": "2e275520", "metadata": {}, "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", "execution_count": 3, "id": "c0ca26ca", "metadata": { "execution": { "iopub.execute_input": "2024-04-15T14:17:02.943565Z", "iopub.status.busy": "2024-04-15T14:17:02.943216Z", "iopub.status.idle": "2024-04-15T14:17:02.952687Z", "shell.execute_reply": "2024-04-15T14:17:02.952216Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 3, "metadata": { "image/png": { "width": 700 } }, "output_type": "execute_result" } ], "source": [ "Image(filename=\"images/mpl.png\", width=700, embed=True)" ] }, { "cell_type": "markdown", "id": "3b2ec2c7", "metadata": {}, "source": [ "Basic 2D Plotting\n", "-----------------\n", "Before generating plots in Python we must load the main Matplotlib module. We did so in the beginning of this notebook." ] }, { "cell_type": "markdown", "id": "708b2e50", "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", "execution_count": 4, "id": "4b982ab6", "metadata": { "execution": { "iopub.execute_input": "2024-04-15T14:17:02.955601Z", "iopub.status.busy": "2024-04-15T14:17:02.955413Z", "iopub.status.idle": "2024-04-15T14:17:03.081660Z", "shell.execute_reply": "2024-04-15T14:17:03.081082Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-np.pi, np.pi)\n", "y = np.sin(x)\n", "plt.plot(x, y)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "784c7881", "metadata": {}, "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", "execution_count": 5, "id": "100eb33d", "metadata": { "execution": { "iopub.execute_input": "2024-04-15T14:17:03.084025Z", "iopub.status.busy": "2024-04-15T14:17:03.083817Z", "iopub.status.idle": "2024-04-15T14:17:03.197275Z", "shell.execute_reply": "2024-04-15T14:17:03.196737Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-np.pi, np.pi)\n", "y = np.sin(x)\n", "plt.plot(x, y, \"r--\") # make line red 'r' and dashed '--'\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.title(\"sin(x)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a5b015ae", "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", "id": "037cc929", "metadata": {}, "source": [ "We can also specify the color of a line using the color keyword argument" ] }, { "cell_type": "code", "execution_count": 6, "id": "2577c992", "metadata": { "execution": { "iopub.execute_input": "2024-04-15T14:17:03.199906Z", "iopub.status.busy": "2024-04-15T14:17:03.199546Z", "iopub.status.idle": "2024-04-15T14:17:03.304780Z", "shell.execute_reply": "2024-04-15T14:17:03.304304Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-np.pi, np.pi)\n", "y = np.sin(x)\n", "# Here a string from 0->1 specifies a gray value.\n", "plt.plot(x, y, \"--\", color=\"0.75\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "id": "45773560", "metadata": { "execution": { "iopub.execute_input": "2024-04-15T14:17:03.307124Z", "iopub.status.busy": "2024-04-15T14:17:03.306767Z", "iopub.status.idle": "2024-04-15T14:17:03.414507Z", "shell.execute_reply": "2024-04-15T14:17:03.413995Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-np.pi, np.pi)\n", "y = np.sin(x)\n", "plt.plot(x, y, \"-\", color=\"#FD8808\") # We can also use hex colors if we want.\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4e5eb806", "metadata": {}, "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", "execution_count": 8, "id": "481a5f66", "metadata": { "execution": { "iopub.execute_input": "2024-04-15T14:17:03.416996Z", "iopub.status.busy": "2024-04-15T14:17:03.416667Z", "iopub.status.idle": "2024-04-15T14:17:03.724072Z", "shell.execute_reply": "2024-04-15T14:17:03.723550Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-np.pi, np.pi)\n", "y = np.sin(x)\n", "plt.figure(figsize=(12, 3)) # This controls the size of the figure\n", "plt.subplot(2, 3, 1) # This is the first plot in a 2x3 grid of plots\n", "plt.plot(x, y)\n", "plt.subplot(2, 3, 2) # this is the second plot\n", "plt.plot(x, y, linestyle=\"--\") # Demo using 'linestyle' keyword arguement\n", "plt.subplot(2, 3, 3)\n", "plt.plot(x, y, \".\")\n", "plt.subplot(2, 3, 4)\n", "plt.plot(x, y, \"-.\")\n", "plt.subplot(2, 3, 5)\n", "plt.plot(x, y, \".-\")\n", "plt.subplot(2, 3, 6)\n", "plt.plot(x, y, ls=\":\") # Demo using 'ls' keyword arguement.\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "deba632d", "metadata": {}, "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", "execution_count": 9, "id": "86812af1", "metadata": { "execution": { "iopub.execute_input": "2024-04-15T14:17:03.726290Z", "iopub.status.busy": "2024-04-15T14:17:03.725938Z", "iopub.status.idle": "2024-04-15T14:17:03.924914Z", "shell.execute_reply": "2024-04-15T14:17:03.924353Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 10)\n", "y = np.sqrt(x)\n", "plt.figure(figsize=(12, 3))\n", "plt.subplot(1, 3, 1)\n", "plt.plot(x, y)\n", "plt.subplot(1, 3, 2)\n", "plt.plot(x, y, linewidth=2)\n", "plt.subplot(1, 3, 3)\n", "plt.plot(x, y, lw=7.75)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7831ad51", "metadata": {}, "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", "execution_count": 10, "id": "0431e490", "metadata": { "execution": { "iopub.execute_input": "2024-04-15T14:17:03.927133Z", "iopub.status.busy": "2024-04-15T14:17:03.926801Z", "iopub.status.idle": "2024-04-15T14:17:04.085839Z", "shell.execute_reply": "2024-04-15T14:17:04.085261Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 10)\n", "s = np.sin(x)\n", "c = np.cos(x)\n", "sx = x * np.sin(x)\n", "plt.figure(figsize=(12, 3))\n", "plt.subplot(1, 2, 1)\n", "# call three different plot functions\n", "plt.plot(x, s, \"b\")\n", "plt.plot(x, c, \"r\")\n", "plt.plot(x, sx, \"g\")\n", "\n", "plt.subplot(1, 2, 2)\n", "# combine multiple lines in one call to plot\n", "plt.plot(x, s, \"b\", x, c, \"r\", x, sx, \"g\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "65e74e3e", "metadata": {}, "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", "execution_count": 11, "id": "d93abd7d", "metadata": { "execution": { "iopub.execute_input": "2024-04-15T14:17:04.087882Z", "iopub.status.busy": "2024-04-15T14:17:04.087552Z", "iopub.status.idle": "2024-04-15T14:17:04.274664Z", "shell.execute_reply": "2024-04-15T14:17:04.274068Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-np.pi, np.pi, 100)\n", "plt.figure(figsize=(12, 3))\n", "plt.subplot(1, 3, 1)\n", "plt.plot(x, np.sin(x), lw=2)\n", "plt.subplot(1, 3, 2)\n", "plt.plot(x, np.sin(x), lw=2, color=\"#740007\")\n", "plt.xlim([-np.pi, np.pi]) # change bounds on x-axis to [-pi,pi]\n", "plt.subplot(1, 3, 3)\n", "plt.plot(x, np.sin(x), \"^\", ms=8, color=\"0.8\")\n", "plt.xlim([-1, 1]) # change bounds on x-axis to [-1,1]\n", "plt.ylim([-0.75, 0.75]) # change bounds on y-axis to [-0.75,0.75]\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "6a85be35", "metadata": {}, "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", "execution_count": 12, "id": "7a77762e", "metadata": { "execution": { "iopub.execute_input": "2024-04-15T14:17:04.276761Z", "iopub.status.busy": "2024-04-15T14:17:04.276426Z", "iopub.status.idle": "2024-04-15T14:17:04.531758Z", "shell.execute_reply": "2024-04-15T14:17:04.531199Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-np.pi, np.pi, 100)\n", "plt.figure(figsize=(12, 3))\n", "plt.subplot(1, 3, 1)\n", "plt.plot(x, np.sin(x), lw=2)\n", "plt.subplot(1, 3, 2)\n", "plt.plot(x, np.sin(x), lw=2, color=\"#740007\")\n", "plt.xlim([-np.pi, np.pi])\n", "plt.subplot(1, 3, 3)\n", "plt.plot(x, np.sin(x), \"^\", ms=8, color=\"0.8\")\n", "plt.xlim([-1, 1])\n", "plt.ylim([-0.75, 0.75])\n", "plt.savefig(\n", " \"axes_example.png\"\n", ") # Save the figure in PNG format in same directory as script" ] }, { "cell_type": "markdown", "id": "a537d8d6", "metadata": {}, "source": [ "The function```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", "id": "e6bb42bb", "metadata": {}, "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", "execution_count": 13, "id": "1900b20f", "metadata": { "execution": { "iopub.execute_input": "2024-04-15T14:17:04.533841Z", "iopub.status.busy": "2024-04-15T14:17:04.533498Z", "iopub.status.idle": "2024-04-15T14:17:04.681698Z", "shell.execute_reply": "2024-04-15T14:17:04.681112Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1, 1)\n", "Ai, Aip, Bi, Bip = airy(x)\n", "plt.plot(x, Ai, \"b*\", x, Aip, \"ro\", x, Bi, \"gs\", x, Bip, \"k+\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d6182355", "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", "id": "9080e156", "metadata": {}, "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", "execution_count": 14, "id": "8524a65f", "metadata": { "execution": { "iopub.execute_input": "2024-04-15T14:17:04.684286Z", "iopub.status.busy": "2024-04-15T14:17:04.683965Z", "iopub.status.idle": "2024-04-15T14:17:04.947792Z", "shell.execute_reply": "2024-04-15T14:17:04.947319Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1, 1.0, 100)\n", "plt.figure(figsize=(6, 6))\n", "plt.subplot(2, 2, 1)\n", "y = x + 0.25 * np.random.randn(len(x))\n", "plt.scatter(x, y, color=\"r\") # plot collection of (x,y) points\n", "plt.title(\"A scatter Plot\")\n", "plt.subplot(2, 2, 2)\n", "n = np.array([0, 1, 2, 3, 4, 5])\n", "plt.bar(\n", " n, n**2, align=\"center\", width=1\n", ") # aligns the bars over the x-numbers, and width=dx\n", "plt.title(\"A bar Plot\")\n", "plt.subplot(2, 2, 3)\n", "plt.fill_between(\n", " x, x**2, x**3, color=\"green\"\n", ") # fill between x**2 & x**3 with green\n", "plt.title(\"A fill_between Plot\")\n", "plt.subplot(2, 2, 4)\n", "plt.title(\"A hist Plot\")\n", "r = np.random.randn(50) # generating some random numbers\n", "plt.hist(r, color=\"y\") # create a histogram of the random number values\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7c01e899", "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", "id": "f6a2567f", "metadata": {}, "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.jupyter.org/github/jrjohansson/scientific-python-lectures/blob/master/Lecture-4-Matplotlib.ipynb) : A guide for plotting in Matplotlib by Robert Johansson." ] }, { "cell_type": "markdown", "id": "920dac67", "metadata": {}, "source": [ "

End of Tutorial

\n", "

Return to QuTiP Website

" ] } ], "metadata": { "jupytext": { "cell_metadata_filter": "-all", "notebook_metadata_filter": "-jupytext.cell_metadata_filter,-jupytext.notebook_metadata_filter" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.4" } }, "nbformat": 4, "nbformat_minor": 5 }