{ "cells": [ { "cell_type": "markdown", "id": "a2d81585-b363-4ec3-a8a0-926f12d7f491", "metadata": {}, "source": [ "

TP 4: Matplotlib

\n", "\n", "Objectives:\n", "" ] }, { "attachments": {}, "cell_type": "markdown", "id": "88363a16-e64c-467f-82b6-b72570ff7ce0", "metadata": {}, "source": [ "I. Plotting a curve $y=f(x)$\n", "\n", "1) Basic commands of the module Pyplot from the package Matplotlib\n", "\n", "Matplotlib is a package to make figures. The most relevant module for us is Pyplot. We list below the most relevant functions. For more details, consult the lectures notes §III.1, or look at the documentation: https://matplotlib.org/3.5.3/api/_as_gen/matplotlib.pyplot.html.\n", "\n", "a) The function figure\n", "\n", "The function figure is used to initialize the graph. Without this statement, Python will initialize a new figure with default characteristics. So using this function allows you to start a clean environment, possibly tailored to your needs. \n", "\n", "It is possible to pass a window name (type str) or a number as an argument. In this case, if the same program is run several times without closing the window, the graph is plotted as many times with different colours.\n", "\n", "b) The function plot\n", "\n", "The function plot is probably the most used function in scientific visualization. It allows you to plot two lists, or two NumPy arrays, which contain the abscissae and ordinates.\n", "\n", "c) The function show\n", "\n", "The function show requests the display of all open figures. It is used once all the operations for constructing the figures have been completed. Thus, many plotting actions can be accumulated before displaying.\n", "\n", "The function show does not close the figure. It is still possible to add elements to it later until the close instruction (if you do not manually close the figure). This may not work in Jupyter notebooks which may have an \"auto-clearing\" behaviour after show (but we will not discuss this in detail).\n", "\n", "d) The function close\n", "\n", "The function close is never used in interactive mode (i.e., when you directly pass commands after running python or python3 in a terminal) as it destroys the window. \n", "\n", "In programming, it is a good habit to place a close before the call to figure in order to recreate a new figure and not to take the risk of rewriting in an already existing figure of the same name.\n", "\n", "\n", " \n", " \n", " \n", " \n", "
\n", " \n", " \n", " Run the code below to understand the basic use of pyplot functions. Add appropriate comments when required.\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "id": "2f91589d-af76-490e-8a5b-ed609415463b", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt # We load the package pyplot from the module Matplotlib.\n", "x = [0, 2, 1, 0] # List of abscissa (it could be a NumPy 1D array also).\n", "y = [0, 0, 3, 0] # List of ordinates (it could be a NumPy 1D array also).\n", "z = [0, 0, -3, 0] # List of ordinates (it could be a NumPy 1D array also).\n", "plt.close() # We close any existing figure.\n", "plt.figure() # We create a new figure.\n", "plt.plot(x, y) # We plot x as a function of y.\n", "plt.show() # We show the figure." ] }, { "cell_type": "code", "execution_count": 2, "id": "afb5f789-86a0-419f-a419-a0eb637d540d", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.close()\n", "x = [0, 1]\n", "y1 = [0, 1]\n", "y2 = [1, 0]\n", "plt.close()\n", "plt.figure('fig1') # Creates an empty figure called 'fig1'.\n", "plt.plot(x, y1)\n", "plt.figure('fig2') # Creates an empty figure called 'fig2'.\n", "plt.plot(x, y2) # The function plot applies to the last open figure.\n", "plt.show() # plt.show displays all open figures." ] }, { "cell_type": "code", "execution_count": 3, "id": "27649be0-f253-4e2e-a1fc-7cc2fc7aeef1", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = [0, 1]\n", "y1 = [0, 1]\n", "y2 = [1, 0]\n", "plt.close()\n", "plt.figure('fig1')\n", "plt.plot(x, y1)\n", "plt.figure('fig2')\n", "plt.plot(x, y2)\n", "plt.close('fig1')\n", "plt.show() # plt.show displays all open figures (here only the second one because the first one was closed)." ] }, { "attachments": {}, "cell_type": "markdown", "id": "798e2127-0fe3-4b68-913c-b3a2da1b85b1", "metadata": {}, "source": [ "2) Combination with NumPy to draw a curve \n", "\n", "Contrary to gnuplot or Mathematica, you cannot directly plot a function with Matplotlib. You have to manually create a list or array of abscissae and a second list or array of ordinates. As explained in detail in TP3, it is better to use NumPy arrays which allow element-wise calculations to directly compute the array of ordinates from the array of abscissae (vectorization). For more details, consult the lectures notes §III.2.\n", "\n", "\n", " \n", " \n", " \n", " \n", "
\n", " \n", " \n", " Run the code below to understand how to plot a function with NumPy and Matplotlib. Add comments when required.\n", "
" ] }, { "cell_type": "code", "execution_count": 4, "id": "7e9bf1c0-a057-439f-9ed1-aabe653f2f5d", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "x = np.linspace(0, 2 * np.pi, 50) # Generate the array of abscissae (50 elements regularly spaced between 0 and 2pi).\n", "y = np.cos(x) # Compute the array of ordinates (cosine function).\n", "plt.figure(\"Plotting a cosine function\")\n", "plt.plot(x, y)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "id": "f75dbfe0-3c3d-4571-9e21-d41db89af559", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def my_func(x):\n", " return x / (1 + x ** 2)\n", "\n", "\n", "x = np.linspace(0, 10, 200)\n", "y = my_func(x)\n", "plt.figure(\"Plotting my function\")\n", "plt.plot(x, y)\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "id": "d2410f99-1f54-48e3-9f3d-5edfc94e6569", "metadata": {}, "source": [ "3) Drawing several curves on the same graph \n", "\n", "As long as you do not run the function show, multiple calls to the function plot leads to the accumulation of the different drawings on the same figure. By default, Python uses a different colour for the different curves.\n", "\n", "You can also use a single call to the function plot but with 2D arrays where each column corresponds to the function you want to plot.\n", "\n", "The range of the two axes is adjusted automatically. \n", "\n", "You can label the different curves and show the legend of the plot.\n", "\n", "\n", " \n", " \n", " \n", " \n", "
\n", " \n", " \n", " Run the codes below which illustrates the overplotting of different functions on the same figure. Add appropriate comments when required.\n", "
" ] }, { "cell_type": "code", "execution_count": 6, "id": "1d5ed0da-38ef-4bb5-a446-c3de001f84c0", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(\"Plotting three functions\")\n", "x = np.linspace(0, 2 * np.pi, 50)\n", "plt.plot(x, np.cos(x), label=\"cos(x)\")\n", "x = np.linspace(- np.pi, np.pi, 50)\n", "plt.plot(x, np.sin(x), label=\"sin(x)\")\n", "x = np.linspace(-5, 5, 50)\n", "plt.plot(x, 1 / (1 + np.exp(-x)), label=\"1/(1+e^{-x})\")\n", "plt.legend() # By default, Python tries to find the best location of the legend to avoid overlap with the curves.\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "id": "bd6806f5-13cd-4ad2-837a-814104d77f31", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(\"Plotting three functions\")\n", "x = np.linspace(-np.pi, 2 * np.pi, 50)\n", "xx = x.reshape((x.size, 1)) # We consider the array where x is a column because the ordinates must be in separate columns for different\n", "# functions.\n", "y = np.hstack((np.cos(xx), np.sin(xx))) # Array of ordinates where the first column corresponds to the cosine function, and the second\n", "# column to the sine function.\n", "plt.plot(x, y, label=['cos(x)', 'sin(x)']) # Each column of y is plotted separatedly, but they must all have the same abscissae\n", "# (less freedom). We can also provide the list or 1D array of the different labels.\n", "x = np.linspace(-5, 5, 50)\n", "plt.plot(x, 1 / (1 + np.exp(-x)), label=\"1/(1+e^{-x})\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "id": "fc69a5c4-22a6-461e-a465-01dc4b2366bb", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(\"Plotting three functions\")\n", "x = np.linspace(0, 2 * np.pi, 50)\n", "plt.plot(x, np.cos(x), label=\"cos(x)\")\n", "x = np.linspace(- np.pi, np.pi, 50)\n", "plt.plot(x, np.sin(x), label=\"sin(x)\")\n", "x = np.linspace(-5, 5, 50)\n", "plt.plot(x, 1 / (1 + np.exp(-x)), label=\"1/(1+e^{-x})\")\n", "plt.legend(loc=0) # loc = 0 means that Matplotlib tries to find the best location, but you can try changing the value of loc (integers\n", "# between 0 and 10 to see how the legend moves).\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "id": "6bcc5ca6-1b2b-4b43-bb98-d02a9e5f1255", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(\"Plotting three functions\")\n", "x = np.linspace(0, 2 * np.pi, 50)\n", "plt.plot(x, np.cos(x), label=r\"$\\cos(x)$\") # To write the legend with LaTeX, you have to put an 'r' before the string, and then you can\n", "# use LaTeX commands in the string.\n", "x = np.linspace(- np.pi, np.pi, 50)\n", "plt.plot(x, np.sin(x), label=r\"$\\sin(x)$\")\n", "x = np.linspace(-5, 5, 50)\n", "plt.plot(x, 1 / (1 + np.exp(-x)), label=r\"$\\dfrac{1}{1+e^{-x}}$\")\n", "plt.legend()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "id": "910c08c0-f890-418f-9167-eb528a7ee319", "metadata": {}, "source": [ "4) Defining axes, grid and labels \n", "\n", "A readable figure should include titles on axes and the values it displays should be readable.\n", "\n", "a) The range\n", "\n", "The function axis([xmin, xmax, ymin, ymax]) defines the extent of the two axes.\n", "\n", "b) The grid \n", "\n", "For the figure to be more readable you can add a grid with the function grid.\n", "\n", "c) Title of the axes\n", "\n", "The functions xlabel('title of the x-axis') and ylabel('title of the y-axis') allow you to give titles to the axes.\n", "\n", "d) Title of the graph\n", "\n", "To add a title to the entire graph, you can use the function title.\n", "\n", "e) Ticks on the axes\n", "\n", "You can specify the ticks on the x-axis and on the y-axis with the functions xticks(list_of_ticks, list_of_tick_labels) and yticks(list_of_ticks, list_of_tick_labels).\n", "\n", "f) Changing the scale of axes\n", "\n", "It is sometimes useful to show data in logarithmic scale rather than in linear scale. To switch one axis from a linear scale (default) to a logarithmic scale, you can use the function xscale('log') or yscale('log'). You can then switch back to a linear scale using xscale('lin') and yscale('lin').\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", "
\n", " \n", " \n", " Run the codes below which illustrates how to specify the axes of a figure. Add appropriate comments when required.\n", "
" ] }, { "cell_type": "code", "execution_count": 10, "id": "146a1591-0c78-4995-b0c0-3603e66db864", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "x = np.linspace(0, 2 * np.pi, 50)\n", "plt.plot(x, np.cos(x), label=r\"$\\cos(x)$\")\n", "plt.plot(x, np.sin(x), label=r\"$\\sin(x)$\")\n", "plt.axis([0, 2. * np.pi, -1.01, 1.01])\n", "plt.grid()\n", "plt.xlabel('x')\n", "plt.ylabel(r'$\\cos(x), \\ \\sin(x)$')\n", "plt.title('Trigonometric functions')\n", "plt.xticks([0., np.pi / 2., np.pi, 3. * np.pi / 2., 2 * np.pi], ['0', r'$\\dfrac{\\pi}{2}$', r'$\\pi$', r'$\\dfrac{3\\pi}{2}$', r'$2\\pi$'])\n", "plt.yticks([-1., 0., 1.]) # If no strings are given for the ticks, their value is shown.\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "id": "ec1d98c1-cb40-4e93-a626-fad40682bd5e", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "x = np.linspace(-2, 2, 50)\n", "plt.plot(x, np.exp(x))\n", "plt.grid()\n", "plt.xlabel('x')\n", "plt.ylabel(r'$\\exp(x)$')\n", "plt.title('Exponential function in linear scale')\n", "plt.show()\n", "\n", "plt.figure()\n", "x = np.linspace(-2, 2, 50)\n", "plt.plot(x, np.exp(x))\n", "plt.grid()\n", "plt.axis([-2, 2, 0.1, 10])\n", "plt.yscale('log')\n", "plt.xlabel('x')\n", "plt.ylabel(r'$\\exp(x)$')\n", "plt.title('Exponential function in logarithmic scale')\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "id": "997fa701-5cfe-4b1e-801b-608fcdb66793", "metadata": {}, "source": [ "5) Customizing drawings \n", "\n", "It is possible to customize the drawings of curves (add points, choose their shape, their color, their size, change the linestyle, change the linewidth, change the color of the line, etc.). There are two possible ways.\n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", "
\n", " \n", " \n", " Run the codes below which illustrates how to customize a plot. Add comments when required.\n", "
" ] }, { "cell_type": "code", "execution_count": 12, "id": "76db8ef4-ed32-4983-b092-0894ecffe80b", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/3m/7dy_28xx7rb2f52v9hppy8b8fhxqs8/T/ipykernel_45437/2028692347.py:15: RuntimeWarning: divide by zero encountered in divide\n", " plt.plot(x, 1. / np.tan(x), 'm:d', label=r\"$\\mathrm{cotan}(x)$\") # 'm' means that the color is magenta, ':' means in dotted lines and\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "x = np.linspace(0, 2 * np.pi, 50)\n", "plt.plot(x, np.cos(x), 'r-o', label=r\"$\\cos(x)$\") # 'r' means that the color is red, '-' means in full lines, and 'o' means that the marker\n", "# must be a filled disk.\n", "plt.plot(x, np.sin(x), 'b--s', label=r\"$\\sin(x)$\") # 'b' means that the color is blue, '--' means in dashed lines, and 's' means that\n", "# the marker must be a filled square.\n", "plt.plot(x, -np.cos(x), 'g-.^', label=r\"$-\\cos(x)$\") # 'g' means that the color is green, '-.' means in dashed-dotted lines, and '^' means\n", "# that the marker must be a filled up triangle.\n", "plt.plot(x, -np.sin(x), 'k:.', label=r\"$-\\sin(x)$\") # 'k' means that the color is black, ':' means in dotted lines, and '.' means that\n", "# the marker must be a filled small disk.\n", "plt.plot(x, np.tan(x), 'yv', label=r\"$\\tan(x)$\") # 'y' means that the color is yellow, no character for linestyle means no line and\n", "# 'v' means that the marker must be a filled down disk.\n", "plt.plot(x, -np.tan(x), 'c-*', label=r\"$-\\tan(x)$\") # 'c' means that the color is cyan, '-' means in full lines, and '*' means that\n", "# the marker must be a filled star.\n", "plt.plot(x, 1. / np.tan(x), 'm:d', label=r\"$\\mathrm{cotan}(x)$\") # 'm' means that the color is magenta, ':' means in dotted lines and\n", "# 'd' means that the marker must be a filled diamond.\n", "plt.axis([0., 2 * np.pi, -1.1, 1.1])\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "id": "854c6995-b5a0-43c5-82f8-53bbbf3e9bf7", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "x = np.linspace(0, 2 * np.pi, 50)\n", "plt.plot(x, np.cos(x), linestyle='-', marker='8', color='k', markeredgecolor=(0.4, 0.3, 0.5),\n", " markerfacecolor='#FF4D4D', linewidth=2, markersize=10, markeredgewidth=3) # linestyle = '-' for full lines.\n", "# marker = '8' for octagons.\n", "# color = 'k' for a line in black.\n", "# markeredgecolor = (r, g, b) value of the red, green and blue channels with values between 0 and 1.\n", "# markerfacecolor = '#FF4D4D' color to fill the markers with given in hexadecimal RGB.\n", "# linewidth = width of the line.\n", "# markersize = size of the markers.\n", "# markeredgewidth = width of the line which draws the markers.\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "id": "d7f63ddf-ecb5-4a29-ac5a-b3ac5b38a546", "metadata": {}, "source": [ "6) Multiple graphics on a single figure \n", "\n", "The subplot() or subplot2grid functions allow several graphs to be displayed in the same window. Many configurations are possible: two graphs aligned in a row, or in a column, sharing the same x-axis or y-axis, etc.\n", "\n", "\n", " \n", " \n", " \n", " \n", "
\n", " \n", " \n", " Run the code below which illustrates how to construct multiple adjacent graphics on the same figure. Add comments when required.\n", "
" ] }, { "cell_type": "code", "execution_count": 14, "id": "0286760b-bb9b-4dd1-a845-ec976b39d16e", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "x = np.linspace(0, 2 * np.pi, 50)\n", "plt.subplot(2, 1, 1) # Distribute the figure with two panels over 2 lines and 1 column and work on the first panel (top).\n", "# Be careful that counting starts at 1 and not 0.\n", "plt.plot(x, np.cos(x))\n", "plt.ylabel(r'$\\cos(x)$')\n", "plt.subplot(2, 1, 2) # Distribute the figure with two panels over 2 lines and 1 column and work on the second panel (bottom).\n", "plt.plot(x, np.sin(x))\n", "plt.ylabel(r'$\\sin(x)$')\n", "plt.xlabel('x')\n", "plt.suptitle('Trigonometric functions') # Add a global title to the figure.\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "id": "37a07f49-1c4b-49ac-b854-fa07fbadd5dd", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "x = np.linspace(0, 2 * np.pi, 50)\n", "plt.subplot2grid((2, 2), (0, 0)) # Distribute the figure with four panels over 2 lines and 2 columns and work on the panel on the first row\n", "# and first column. Be careful that now counting starts from zero.\n", "plt.plot(x, np.cos(x))\n", "plt.ylabel(r'$\\cos(x)$')\n", "plt.subplot2grid((2, 2), (0, 1)) # Distribute the figure with four panels over 2 lines and 2 columns and work on the panel on the first row\n", "# and second column.\n", "plt.plot(x, np.sin(x))\n", "plt.ylabel(r'$\\sin(x)$')\n", "plt.subplot2grid((2, 2), (1, 0), colspan=2) # Distribute the figure with four panels over 2 lines and 2 columns and work on the panel\n", "# on the second row and first column. Here we specify that the plot must occupy two columns. A similar argument to extends over multiple\n", "# rows of the grid.\n", "plt.plot(x, np.cos(x), label=r'$\\cos(x)$')\n", "plt.plot(x, np.sin(x), label=r'$\\sin(x)$')\n", "plt.ylabel(r'$\\cos(x),\\ \\sin(x)$')\n", "plt.xlabel('x')\n", "plt.suptitle('Trigonometric functions')\n", "plt.tight_layout() # Adjust the space around each subplot.\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "27836e6c-fbd7-48b2-82cd-272cfd44f545", "metadata": {}, "source": [ "II. Scatter plots\n", "\n", "The function scatter plots only points but, unlike the function plot, allows you to change the size and colour of the points, and even to change the symbol for each pair $(x_i,\\, y_i)$. This allows you to plot points from different experiments using different symbols or colours. For more details, see §III.3.1 of the lecture notes.\n", "\n", "There are multiple ways of specifying colours.\n", "
    \n", "
  • You can provide a single color, all points are then plotted with the same color (as for the function plot);
  • \n", "
  • You can provide a list of color names (with the length of the list being equal to the number of data points);
  • \n", "
  • You can provide a 2D array of floats between 0 and 1 of shape $(n,\\, 3)$ (with $n$ the number of data points), each row then corresponds to the values of the three channels R, G and B;
  • \n", "
  • You can provide a 1D array of floating values between 0 and 1 of size $n$ (with $n$ the number of data points) which will then be mapped on a colormap (the full list of colormaps is given there https://matplotlib.org/stable/tutorials/colors/colormaps.html).
  • \n", "
\n", "\n", "There are two ways of specifying sizes.\n", "
    \n", "
  • You can provide a single float, all points are then plotted with the same size (as for the function plot);
  • \n", "
  • You can provide a 1D array of size $n$ (with $n$ the number of data points) which corresponds to the size of each point.
  • \n", "
\n", "\n", "\n", " \n", " \n", " \n", " \n", "
\n", " \n", " \n", " Run the code below to understand how the function scatter works. Add appropriate comments when asked.\n", "
" ] }, { "cell_type": "code", "execution_count": 16, "id": "cef8dac4-71df-4c11-90e9-adf5d5445d79", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.random.random(10) # Generate a 1D array of size 10 with random numbers in the range [0,1) distributed uniformly (see TP5).\n", "y = np.random.random(10)\n", "plt.scatter(x, y, s=200., c='m') # s gives the area of each point (the same for all), c gives the color of each point\n", "# (again the same for all).\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "id": "d13f7a95-9b8c-4fd6-a9ce-0343b73869f6", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.random.random(10)\n", "y = np.random.random(10)\n", "colors = np.random.random(10)\n", "sizes = np.pi * (15. * np.random.random(10)) ** 2\n", "plt.scatter(x, y, s=sizes, c=colors, cmap='viridis') # s gives the area of each point, c gives the color of each point.\n", "# The color should be a float between 0 and 1 to indicate the position on the colormap specified by the argument cmap.\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "id": "a556b2ee-54a5-4295-a327-7babbca960bd", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.random.random(10)\n", "y = np.random.random(10)\n", "colors = np.random.random(10)\n", "sizes = np.pi * (15. * np.random.random(10)) ** 2\n", "plt.scatter(x, y, s=sizes, c=colors, cmap='hot', alpha=0.5) # alpha specifies the opacity (between 0 and 1).\n", "# Default value is 1.\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 19, "id": "68b4bcc0-8ec0-4496-975b-ffd08fbb10e3", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.random.random(100)\n", "y = np.random.random(100)\n", "colors = np.random.random(100)\n", "sizes = np.pi * (15. * np.random.random(100)) ** 2\n", "scatter_plot = plt.scatter(x, y, s=sizes, c=colors, cmap='hot', alpha=0.5)\n", "plt.colorbar(scatter_plot, label='Intensity') # Creates the colorbar from the scatter plot as argument.\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f97722f6-381e-4a5d-bbee-19ee7b98b0ad", "metadata": {}, "source": [ "III. Histograms\n", "\n", "There is a function hist which computes the histogram before plotting it. The function takes several arguments which are detailed in the examples below. For more details, see §III.3.2 of the lecture notes.\n", "\n", "\n", " \n", " \n", " \n", " \n", "
\n", " \n", " \n", " Run the code below to understand how the function hist works. Add appropriate comments when asked.\n", "
" ] }, { "cell_type": "code", "execution_count": 20, "id": "e66f24c1-aef8-4f3a-959a-7500c77f7850", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(array([1.4000e+01, 3.6800e+02, 3.7650e+03, 1.6904e+04, 3.4664e+04,\n", " 3.0620e+04, 1.1601e+04, 1.9260e+03, 1.3500e+02, 3.0000e+00]), array([-4.58599636, -3.63980048, -2.69360459, -1.74740871, -0.80121283,\n", " 0.14498305, 1.09117894, 2.03737482, 2.9835707 , 3.92976658,\n", " 4.87596247]), )\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = np.random.normal(size=100000) # Generates a 1D array of 100000 random numbers drawn from a Gaussian distribution of zero mean\n", "# and unit variance (see TP5).\n", "plt.figure()\n", "print(plt.hist(data)) # Returns a tuple with three elements.\n", "# The first element is the number of samples in each interval (by default there are 10 intervals).\n", "# The second element is the left boundary of each interval + the right boundary of the last interval.\n", "# The last element is not relevant for us." ] }, { "cell_type": "code", "execution_count": 21, "id": "bc54584d-8453-444b-925a-5019c007acc6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([2.000e+00, 1.000e+00, 1.000e+00, 4.000e+00, 7.000e+00, 2.000e+00,\n", " 5.000e+00, 1.000e+01, 1.100e+01, 1.800e+01, 2.400e+01, 2.700e+01,\n", " 4.000e+01, 5.800e+01, 7.200e+01, 9.200e+01, 1.230e+02, 1.380e+02,\n", " 1.820e+02, 1.980e+02, 2.860e+02, 2.930e+02, 4.010e+02, 4.570e+02,\n", " 5.360e+02, 6.010e+02, 7.590e+02, 8.300e+02, 1.009e+03, 1.092e+03,\n", " 1.315e+03, 1.357e+03, 1.562e+03, 1.697e+03, 1.889e+03, 2.037e+03,\n", " 2.180e+03, 2.456e+03, 2.621e+03, 2.756e+03, 2.830e+03, 2.982e+03,\n", " 3.063e+03, 3.328e+03, 3.315e+03, 3.286e+03, 3.385e+03, 3.350e+03,\n", " 3.333e+03, 3.340e+03, 3.210e+03, 3.150e+03, 3.062e+03, 2.894e+03,\n", " 2.701e+03, 2.648e+03, 2.417e+03, 2.350e+03, 2.112e+03, 1.988e+03,\n", " 1.807e+03, 1.676e+03, 1.472e+03, 1.257e+03, 1.177e+03, 9.770e+02,\n", " 9.280e+02, 8.010e+02, 7.340e+02, 5.740e+02, 4.830e+02, 4.380e+02,\n", " 3.530e+02, 2.720e+02, 2.230e+02, 1.960e+02, 1.700e+02, 1.330e+02,\n", " 1.050e+02, 8.900e+01, 5.700e+01, 3.100e+01, 3.900e+01, 2.000e+01,\n", " 2.500e+01, 1.800e+01, 7.000e+00, 1.200e+01, 1.000e+01, 7.000e+00,\n", " 3.000e+00, 2.000e+00, 2.000e+00, 4.000e+00, 1.000e+00, 2.000e+00,\n", " 0.000e+00, 0.000e+00, 1.000e+00, 1.000e+00]),\n", " array([-3.99949005, -3.91483373, -3.83017742, -3.7455211 , -3.66086479,\n", " -3.57620847, -3.49155215, -3.40689584, -3.32223952, -3.23758321,\n", " -3.15292689, -3.06827057, -2.98361426, -2.89895794, -2.81430163,\n", " -2.72964531, -2.64498899, -2.56033268, -2.47567636, -2.39102005,\n", " -2.30636373, -2.22170742, -2.1370511 , -2.05239478, -1.96773847,\n", " -1.88308215, -1.79842584, -1.71376952, -1.6291132 , -1.54445689,\n", " -1.45980057, -1.37514426, -1.29048794, -1.20583163, -1.12117531,\n", " -1.03651899, -0.95186268, -0.86720636, -0.78255005, -0.69789373,\n", " -0.61323741, -0.5285811 , -0.44392478, -0.35926847, -0.27461215,\n", " -0.18995584, -0.10529952, -0.0206432 , 0.06401311, 0.14866943,\n", " 0.23332574, 0.31798206, 0.40263838, 0.48729469, 0.57195101,\n", " 0.65660732, 0.74126364, 0.82591995, 0.91057627, 0.99523259,\n", " 1.0798889 , 1.16454522, 1.24920153, 1.33385785, 1.41851417,\n", " 1.50317048, 1.5878268 , 1.67248311, 1.75713943, 1.84179574,\n", " 1.92645206, 2.01110838, 2.09576469, 2.18042101, 2.26507732,\n", " 2.34973364, 2.43438996, 2.51904627, 2.60370259, 2.6883589 ,\n", " 2.77301522, 2.85767153, 2.94232785, 3.02698417, 3.11164048,\n", " 3.1962968 , 3.28095311, 3.36560943, 3.45026575, 3.53492206,\n", " 3.61957838, 3.70423469, 3.78889101, 3.87354732, 3.95820364,\n", " 4.04285996, 4.12751627, 4.21217259, 4.2968289 , 4.38148522,\n", " 4.46614154]),\n", " )" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = np.random.normal(size=100000)\n", "plt.figure()\n", "plt.hist(data, bins=100) # Here we have changed the number of intervals to 100." ] }, { "cell_type": "code", "execution_count": 22, "id": "4fdd78d5-e29a-461f-a98a-c398911a6248", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([2.21472693e-04, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 1.10736347e-04, 2.21472693e-04, 1.10736347e-04, 2.21472693e-04,\n", " 2.21472693e-04, 5.53681734e-04, 4.42945387e-04, 7.75154427e-04,\n", " 1.32883616e-03, 1.66104520e-03, 2.21472693e-03, 3.21135406e-03,\n", " 3.32209040e-03, 5.09387195e-03, 6.64418080e-03, 9.63406217e-03,\n", " 9.41258947e-03, 1.43957251e-02, 1.80500245e-02, 2.23687420e-02,\n", " 2.45834690e-02, 3.31101677e-02, 4.39623297e-02, 5.02743014e-02,\n", " 6.41163448e-02, 7.35289342e-02, 8.24985783e-02, 1.00327130e-01,\n", " 1.14833592e-01, 1.33437298e-01, 1.56470458e-01, 1.74299010e-01,\n", " 1.84154545e-01, 2.11617159e-01, 2.36422100e-01, 2.50928562e-01,\n", " 2.73740249e-01, 2.95555309e-01, 3.27558114e-01, 3.42175311e-01,\n", " 3.55242200e-01, 3.54245573e-01, 3.78275360e-01, 3.94110658e-01,\n", " 3.97432748e-01, 3.88795313e-01, 4.08506383e-01, 3.96214649e-01,\n", " 3.94885813e-01, 3.71298971e-01, 3.70302344e-01, 3.49816119e-01,\n", " 3.39739112e-01, 3.24457496e-01, 2.87693029e-01, 2.71525522e-01,\n", " 2.51260771e-01, 2.22690793e-01, 2.06412550e-01, 1.84597490e-01,\n", " 1.70201765e-01, 1.61453594e-01, 1.31444044e-01, 1.13172546e-01,\n", " 1.01655966e-01, 8.61528778e-02, 7.24215708e-02, 5.58111188e-02,\n", " 4.82810472e-02, 4.18583391e-02, 3.48819492e-02, 2.94558682e-02,\n", " 2.22580057e-02, 1.84929699e-02, 1.56138249e-02, 1.28454162e-02,\n", " 9.41258947e-03, 6.09049907e-03, 4.76166291e-03, 4.31871752e-03,\n", " 2.21472693e-03, 2.87914502e-03, 1.77178155e-03, 1.43957251e-03,\n", " 8.85890774e-04, 5.53681734e-04, 8.85890774e-04, 2.21472693e-04,\n", " 3.32209040e-04, 1.10736347e-04, 0.00000000e+00, 2.21472693e-04,\n", " 1.10736347e-04, 0.00000000e+00, 0.00000000e+00, 1.10736347e-04]),\n", " array([-4.50958378, -4.4192792 , -4.32897461, -4.23867002, -4.14836544,\n", " -4.05806085, -3.96775627, -3.87745168, -3.78714709, -3.69684251,\n", " -3.60653792, -3.51623333, -3.42592875, -3.33562416, -3.24531957,\n", " -3.15501499, -3.0647104 , -2.97440581, -2.88410123, -2.79379664,\n", " -2.70349205, -2.61318747, -2.52288288, -2.4325783 , -2.34227371,\n", " -2.25196912, -2.16166454, -2.07135995, -1.98105536, -1.89075078,\n", " -1.80044619, -1.7101416 , -1.61983702, -1.52953243, -1.43922784,\n", " -1.34892326, -1.25861867, -1.16831408, -1.0780095 , -0.98770491,\n", " -0.89740033, -0.80709574, -0.71679115, -0.62648657, -0.53618198,\n", " -0.44587739, -0.35557281, -0.26526822, -0.17496363, -0.08465905,\n", " 0.00564554, 0.09595013, 0.18625471, 0.2765593 , 0.36686389,\n", " 0.45716847, 0.54747306, 0.63777764, 0.72808223, 0.81838682,\n", " 0.9086914 , 0.99899599, 1.08930058, 1.17960516, 1.26990975,\n", " 1.36021434, 1.45051892, 1.54082351, 1.6311281 , 1.72143268,\n", " 1.81173727, 1.90204186, 1.99234644, 2.08265103, 2.17295561,\n", " 2.2632602 , 2.35356479, 2.44386937, 2.53417396, 2.62447855,\n", " 2.71478313, 2.80508772, 2.89539231, 2.98569689, 3.07600148,\n", " 3.16630607, 3.25661065, 3.34691524, 3.43721983, 3.52752441,\n", " 3.617829 , 3.70813358, 3.79843817, 3.88874276, 3.97904734,\n", " 4.06935193, 4.15965652, 4.2499611 , 4.34026569, 4.43057028,\n", " 4.52087486]),\n", " )" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = np.random.normal(size=100000)\n", "plt.figure()\n", "plt.hist(data, bins=100, density=True) # Here we have normalized the histogram so that the area under the curve is 1.\n", "# This is not longer a histogram but a probability density function." ] }, { "cell_type": "code", "execution_count": 23, "id": "5ad7d2a6-e4d8-422f-8df3-8c9f5a2be3f6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([ 28., 25., 47., 47., 58., 67., 84., 87., 112.,\n", " 146., 138., 168., 186., 205., 240., 286., 302., 337.,\n", " 363., 436., 490., 575., 586., 684., 779., 769., 905.,\n", " 946., 1058., 1109., 1201., 1297., 1395., 1492., 1570., 1698.,\n", " 1714., 1826., 1888., 1973., 1990., 2010., 2088., 2113., 2173.,\n", " 2329., 2369., 2343., 2359., 2400., 2476., 2423., 2412., 2351.,\n", " 2314., 2303., 2236., 2134., 2147., 1951., 1950., 1890., 1816.,\n", " 1785., 1635., 1581., 1528., 1343., 1200., 1247., 1121., 1074.,\n", " 955., 886., 840., 753., 671., 605., 597., 512., 432.,\n", " 383., 368., 332., 287., 254., 255., 204., 163., 155.,\n", " 146., 100., 78., 89., 67., 59., 42., 36., 25.,\n", " 27.]),\n", " array([-3. , -2.94, -2.88, -2.82, -2.76, -2.7 , -2.64, -2.58, -2.52,\n", " -2.46, -2.4 , -2.34, -2.28, -2.22, -2.16, -2.1 , -2.04, -1.98,\n", " -1.92, -1.86, -1.8 , -1.74, -1.68, -1.62, -1.56, -1.5 , -1.44,\n", " -1.38, -1.32, -1.26, -1.2 , -1.14, -1.08, -1.02, -0.96, -0.9 ,\n", " -0.84, -0.78, -0.72, -0.66, -0.6 , -0.54, -0.48, -0.42, -0.36,\n", " -0.3 , -0.24, -0.18, -0.12, -0.06, 0. , 0.06, 0.12, 0.18,\n", " 0.24, 0.3 , 0.36, 0.42, 0.48, 0.54, 0.6 , 0.66, 0.72,\n", " 0.78, 0.84, 0.9 , 0.96, 1.02, 1.08, 1.14, 1.2 , 1.26,\n", " 1.32, 1.38, 1.44, 1.5 , 1.56, 1.62, 1.68, 1.74, 1.8 ,\n", " 1.86, 1.92, 1.98, 2.04, 2.1 , 2.16, 2.22, 2.28, 2.34,\n", " 2.4 , 2.46, 2.52, 2.58, 2.64, 2.7 , 2.76, 2.82, 2.88,\n", " 2.94, 3. ]),\n", " )" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = np.random.normal(size=100000)\n", "plt.figure()\n", "plt.hist(data, bins=100, range=(-3, 3)) # We only compute the histogram on data which are in the range [-3,3].\n", "# Others are excluded." ] }, { "cell_type": "code", "execution_count": 24, "id": "097907ff-7eca-4d1e-8b8d-e5a163cc5368", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = np.random.normal(size=100000)\n", "data2 = np.random.normal(size=100000)\n", "plt.figure()\n", "plt.hist(data, bins=100, density=True, facecolor='red', alpha=0.3)\n", "plt.hist(data2, bins=100, density=True, facecolor='green', alpha=0.3)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "271f406e-66b2-4501-a1a0-d9250638fd25", "metadata": {}, "source": [ "IV. Plotting surfaces $z=f(x,y)$\n", "\n", "1) Contour lines\n", "\n", "One possible way of representing a function of two variables is to display its contour lines, i.e., the set of points $(x,\\,y)$ for a particular value of $z$. For example, if $f(x,y)$ is the electrostatic potential, then these contour lines are just the equipotentials. For more details, see §III.4 of the lecture notes.\n", "\n", "We focus on the case of a rectangular space (simpler). The procedure to generate such a plot is the following.\n", "1) Create two 1D arrays X and Y corresponding to the values of $x$ and $y$ respectively where you will compute the function $f$.\n", "2) From these two 1D arrays, create two 2D arrays XX and YY such that XX[i,j]=X[i] and YY[i,j]=Y[j]. Here, we are just creating a regular mesh and these arrays give, for each node $(i,\\,j)$ its $x$-coordinate and its $y$-coordinate.\n", "3) Compute the value of the function $f$ on all nodes of the regular mesh.\n", "4) Draw the contour lines using the function contour or the function contourf.\n", "\n", "\n", " \n", " \n", " \n", " \n", "
\n", " \n", " \n", " Run the code below to understand how to generate a figure with the contour lines of a two-dimensional function. Add appropriate comments when asked.\n", "
" ] }, { "cell_type": "code", "execution_count": 25, "id": "9f3a5674-5646-4c7b-b625-8613b3c6b9e9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-1. -0.96 -0.92 ... 0.92 0.96 1. ]\n", " [-1. -0.96 -0.92 ... 0.92 0.96 1. ]\n", " [-1. -0.96 -0.92 ... 0.92 0.96 1. ]\n", " ...\n", " [-1. -0.96 -0.92 ... 0.92 0.96 1. ]\n", " [-1. -0.96 -0.92 ... 0.92 0.96 1. ]\n", " [-1. -0.96 -0.92 ... 0.92 0.96 1. ]]\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1., 1., 51) # Create an array of x-coordinates between -1 and 1 with 51 points (so that 0 is one coordinate).\n", "y = np.copy(x) # Same for the y-coordinates.\n", "xx, yy = np.meshgrid(x, y) # The meshgrid function generates the coordinates of the nodes of the grid from the two 1D arrays x and y.\n", "print(xx)\n", "sigma = 0.5\n", "\n", "\n", "def my_func(x, y): # Define a function which is the superposition of two Gaussian centered at (\\pm 0.5, 0).\n", " return np.exp(-((x - 0.5) ** 2 + y ** 2) / (2. * sigma ** 2)) + np.exp(-((x + 0.5) ** 2 + y ** 2) / (2. * sigma ** 2))\n", "\n", "\n", "z = my_func(xx, yy)\n", "plt.figure()\n", "plt.contour(xx, yy, z, cmap='jet') # Draw the contour lines with the color of the lines given by the colormar 'jet' according to\n", "# the value of the function along each line.\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title(r'Contour plots of $z=e^{-[(x-0.5)^2+y^2]/(2\\sigma^2)}+ e^{-[(x+0.5)^2+y^2]/(2\\sigma^2)}$ for $\\sigma=$' + str(sigma))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 26, "id": "0fb04f01-80db-4e25-bd75-53988313684a", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1., 1., 101) # With a larger number of points, the mesh is more precise and the contour lines smoother.\n", "y = np.copy(x)\n", "xx, yy = np.meshgrid(x, y)\n", "sigma = 0.5\n", "\n", "\n", "def my_func(x, y):\n", " return np.exp(-((x - 0.5) ** 2 + y ** 2) / (2. * sigma ** 2)) + np.exp(-((x + 0.5) ** 2 + y ** 2) / (2. * sigma ** 2))\n", "\n", "\n", "z = my_func(xx, yy)\n", "plt.figure()\n", "plt.contour(xx, yy, z, cmap='jet')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title(r'Contour plots of $z=e^{-[(x-0.5)^2+y^2]/(2\\sigma^2)}+ e^{-[(x+0.5)^2+y^2]/(2\\sigma^2)}$ for $\\sigma=$' + str(sigma))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 27, "id": "b7c02bc4-1284-4cd4-91ee-09792a829395", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1., 1., 101)\n", "y = np.copy(x)\n", "xx, yy = np.meshgrid(x, y)\n", "sigma = 0.5\n", "\n", "\n", "def my_func(x, y):\n", " return np.exp(-((x - 0.5) ** 2 + y ** 2) / (2. * sigma ** 2)) + np.exp(-((x + 0.5) ** 2 + y ** 2) / (2. * sigma ** 2))\n", "\n", "\n", "z = my_func(xx, yy)\n", "plt.figure()\n", "contour_plot = plt.contour(xx, yy, z, cmap='jet')\n", "plt.clabel(contour_plot) # Add the value of the function on each contour line from the values returned by the function contour_plot.\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title(r'Contour plots of $z=e^{-[(x-0.5)^2+y^2]/(2\\sigma^2)}+ e^{-[(x+0.5)^2+y^2]/(2\\sigma^2)}$ for $\\sigma=$' + str(sigma))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "id": "0152958f-9a8e-4321-a75f-15ce3c1b154a", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1., 1., 101)\n", "y = np.copy(x)\n", "xx, yy = np.meshgrid(x, y)\n", "sigma = 0.5\n", "\n", "\n", "def my_func(x, y):\n", " return np.exp(-((x - 0.5) ** 2 + y ** 2) / (2. * sigma ** 2)) + np.exp(-((x + 0.5) ** 2 + y ** 2) / (2. * sigma ** 2))\n", "\n", "\n", "z = my_func(xx, yy)\n", "plt.figure()\n", "plt.contourf(xx, yy, z, cmap='jet') # Plot filled contour lines.\n", "contour_plot = plt.contour(xx, yy, z, colors='k') # Add the contour lines in black.\n", "plt.clabel(contour_plot) # Indicate the values of the function on each contour line.\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title(r'Filled contour plots of $z=e^{-[(x-0.5)^2+y^2]/(2\\sigma^2)}+ e^{-[(x+0.5)^2+y^2]/(2\\sigma^2)}$ for $\\sigma=$' + str(sigma))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "126bd6cb-687f-410a-bd9b-273b2d272df4", "metadata": {}, "source": [ "2) Heat maps\n", "\n", "Another possible way of representing a function of two variables is to display its heat map, i.e., an image where the color of each pixel encodes the value of the function at the pixel position. For example, if $f(x,y)$ is the temperature field, then this image is just the map you see on the weather forecast everyday. For more details, see §III.4 of the lecture notes.\n", "\n", "We focus on the case of a rectangular space (simpler). The procedure to generate such a plot is the following.\n", "1) Create two 1D arrays X and Y corresponding to the values of $x$ and $y$ respectively where you will compute the function $f$.\n", "2) From these two 1D arrays, create two 2D arrays XX and YY such that XX[i,j]=X[i] and YY[i,j]=Y[j]. Here, we are just creating a regular mesh and these arrays give, for each node $(i,\\,j)$ its $x$-coordinate and its $y$-coordinate.\n", "3) Compute the value of the function $f$ on all nodes of the regular mesh.\n", "4) Draw the image using the function imshow or the function pcolormesh.\n", "\n", "\n", " \n", " \n", " \n", " \n", "
\n", " \n", " \n", " Run the code below to understand how to generate a figure with the heat map of a two-dimensional function. Add appropriate comments when asked.\n", "
" ] }, { "cell_type": "code", "execution_count": 29, "id": "e5cfed25-e4d1-4207-a523-140813bd6646", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1., 1., 201)\n", "y = np.copy(x)\n", "xx, yy = np.meshgrid(x, y)\n", "sigma = 0.2\n", "\n", "\n", "def my_func(x, y):\n", " return np.exp(-((x - 0.5) ** 2 + y ** 2) / (2. * sigma ** 2)) + np.exp(-((x + 0.5) ** 2 + y ** 2) / (2. * sigma ** 2))\n", "\n", "\n", "z = my_func(xx, yy)\n", "plt.figure()\n", "heat_map = plt.imshow(z, extent=(-1, 1, -1, 1), cmap='viridis') # Here it is assumed that data are evenly spaced in both directions\n", "# (rectangular regular grid). You can only specify the extent in the different directions.\n", "plt.colorbar(heat_map, label='Temperature')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title(r'Heat map of $z=e^{-[(x-0.5)^2+y^2]/(2\\sigma^2)}+ e^{-[(x+0.5)^2+y^2]/(2\\sigma^2)}$ for $\\sigma=$' + str(sigma))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 30, "id": "99b5ba5b-1e3f-401e-9cb7-319a6f93095d", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1., 1., 201)\n", "y = np.copy(x)\n", "xx, yy = np.meshgrid(x, y)\n", "sigma = 0.2\n", "\n", "\n", "def my_func(x, y):\n", " return np.exp(-((x - 0.5) ** 2 + y ** 2) / (2. * sigma ** 2)) + np.exp(-((x + 0.5) ** 2 + y ** 2) / (2. * sigma ** 2))\n", "\n", "\n", "z = my_func(xx, yy)\n", "plt.figure()\n", "heat_map = plt.pcolormesh(xx, yy, z, cmap='viridis') # Here you can specify the x and y coordinates.\n", "plt.colorbar(heat_map, label='Temperature')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title(r'Heat map of $z=e^{-[(x-0.5)^2+y^2]/(2\\sigma^2)}+ e^{-[(x+0.5)^2+y^2]/(2\\sigma^2)}$ for $\\sigma=$' + str(sigma))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5f651714-c763-47d2-ae04-6863347d1747", "metadata": {}, "source": [ "V. Exercises\n", "\n", "Exercise 1:\n", "\n", "Write a program that plots the function $f(x) = \\dfrac{\\sin(x)}{x}\\sqrt{x^2+1}$ on the interval $[−6,\\, 6]$ with 121 calculated points. Make the plot such that it is understandable to anyone." ] }, { "cell_type": "code", "execution_count": 31, "id": "27e82f44-15e8-4a8a-996b-a7fb5d46aa18", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-6., 6., 121)\n", "plt.plot(x, np.sinc(x / np.pi) * np.sqrt(1. + x ** 2)) # Be careful that sinc(x) = sin(pi * x) / (pi * x) in Numpy.\n", "plt.xlabel('x')\n", "plt.ylabel('f(x)')\n", "plt.title(r'Plot of $f(x)=\\dfrac{\\sin(x)}{x}\\sqrt{1+x^2}$')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0a55ec5a-46b3-4cde-acab-622e939fad0d", "metadata": {}, "source": [ "Exercise 2:\n", "\n", "Write a program to visualize (via contour lines) the function $f(x, y) = \\ln(3x^2 + y^2 + 1)$ on the interval $[-2,\\,2]\\times[-7,\\,7]$ with a mesh size of 0.2 and 0.5 in the $x$ and $y$-directions respectively. Again, the figure must be understandable to anyone." ] }, { "cell_type": "code", "execution_count": 32, "id": "81a47467-9671-47e5-a22b-54ce34c69b8d", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(-2., 2.2, 0.2)\n", "y = np.arange(-7., 7.5, 0.5)\n", "xx, yy = np.meshgrid(x, y)\n", "z = np.log(3. * xx ** 2 + yy ** 2 + 1.)\n", "plt.contourf(xx, yy, z, cmap='hot')\n", "contour_plot = plt.contour(xx, yy, z, colors='k')\n", "plt.clabel(contour_plot)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title(r'$f(x,y)=\\ln(3x^2+y^2+1)$')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8ed5444b-7ecf-4d55-a119-1002a8615579", "metadata": {}, "source": [ "Exercise 3:\n", "\n", "Write a program to represent the complex function $f(x) = e^{−\\mathrm{i}2\\pi x}e^{-x^2}$ on the interval $[−3,\\, 3]$ with 101 values of $x$. The $y$-axis should show the modulus of $f(x)$, while you should use a coloured scale to visualize the argument values. Again, the figure must be understandable to anyone." ] }, { "cell_type": "code", "execution_count": 33, "id": "17a42ebf-e9fa-4d19-b7ff-05a9f8d65791", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-3., 3., 101)\n", "y = np.exp(- x ** 2 - 1j * 2. * np.pi * x)\n", "scatter_plot = plt.scatter(x, np.abs(y), c=np.angle(y), cmap='twilight_shifted')\n", "plt.colorbar(scatter_plot, label=r'$\\arg f(x)$')\n", "plt.xlabel('x')\n", "plt.ylabel(r'$\\vert f(x)\\vert$')\n", "plt.title(r'$f(x)=e^{−\\mathrm{i}2\\pi x}e^{-x^2}$')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "fc1d3e2c-a723-4686-b700-892aecb80d84", "metadata": {}, "source": [ "Exercise 4:\n", "\n", "The Padé approximant is a mathematical method of approximating an analytic function by a rational function, i.e., expressed as a ratio of two polynomials $P_n(x)/Q_m(x)$. This form of approximation is very useful in Physics when the analytical function has poles. By increasing the degrees $n$ and $m$ of the polynomials, the approximation improves.\n", "Two Padé approximants of the function $f(x) = \\dfrac{\\arctan(x)}{x}$ are proposed:\n", "$$\\dfrac{P_2(x)}{Q_2(x)}=\\dfrac{1+\\dfrac{4}{15}x^2}{1+\\dfrac{9}{15}x^2},$$\n", "$$\\dfrac{P_4(x)}{Q_4(x)}=\\dfrac{1+\\dfrac{7}{9}x^2+\\dfrac{64}{945}x^4}{1+\\dfrac{10}{9}x^2+\\dfrac{5}{21}x^4}.$$\n", "\n", "1) Write the two functions pade22() and pade44() which compute $\\dfrac{P_2}{Q_2}$ and $\\dfrac{P_4}{Q_4}$ respectively.\n", "\n", "2) Plot the function $f(x)$ on the interval $[−5,\\, +5]$ with 51 points as a solid line, and superimpose the two approximants as unconnected symbols. The figure must be understandable to anyone.\n", "\n", "3) Explain the error message you obtain, and propose a solution." ] }, { "cell_type": "code", "execution_count": 34, "id": "80753966-0931-4239-827a-f9e47cb53fb3", "metadata": {}, "outputs": [], "source": [ "def pade22(x):\n", " x2 = x ** 2\n", " return (1. + 4. / 15. * x2) / (1. + 9. / 15. * x2)\n", "\n", "\n", "def pade44(x):\n", " x2 = x ** 2\n", " x4 = x2 ** 2\n", " return (1. + 7. / 9. * x2 + 64. / 945. * x4) / (1. + 10. / 9. * x2 + 5. / 21. * x4)" ] }, { "cell_type": "code", "execution_count": 35, "id": "e12aa5c3-0ed3-4fec-b4fc-3027c9855fae", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/3m/7dy_28xx7rb2f52v9hppy8b8fhxqs8/T/ipykernel_45437/1321756438.py:3: RuntimeWarning: invalid value encountered in divide\n", " plt.plot(x, np.arctan(x) / x, 'k-', label=r'$f(x)$')\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-5., 5., 51)\n", "plt.figure()\n", "plt.plot(x, np.arctan(x) / x, 'k-', label=r'$f(x)$')\n", "plt.plot(x, pade22(x), 'c^', label=r'$P_2(x)/Q_2(x)$')\n", "plt.plot(x, pade44(x), 'mv', label=r'$P_4(x)/Q_4(x)$')\n", "plt.grid()\n", "plt.legend()\n", "plt.xlabel('x')\n", "plt.ylabel('f(x)')\n", "plt.title(r'Two Padé approximants of $f(x)=\\mathrm{arctan}(x)/x$')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 36, "id": "3f651979-981a-436c-a1a1-df04834797dd", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The error comes from the fact that there is a division by 0 when we try to compute the function f(x).\n", "def f(x):\n", " x = np.asarray(x) # Convert x to an array if it is not already.\n", " y = np.ones_like(x)\n", " mask = x!= 0\n", " y[mask] = np.arctan(x[mask])/x[mask]\n", " return y\n", "\n", "\n", "x = np.linspace(-5., 5., 51)\n", "plt.figure()\n", "plt.plot(x, f(x), 'k-', label=r'$f(x)$')\n", "plt.plot(x, pade22(x), 'c^', label=r'$P_2(x)/Q_2(x)$')\n", "plt.plot(x, pade44(x), 'mv', label=r'$P_4(x)/Q_4(x)$')\n", "plt.grid()\n", "plt.legend()\n", "plt.xlabel('x')\n", "plt.ylabel('f(x)')\n", "plt.title(r'Two Padé approximants of $f(x)=\\mathrm{arctan}(x)/x$')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e2bc9c89-9fc1-47bb-a45a-b32dbcea097e", "metadata": {}, "source": [ "Exercise 5:\n", "\n", "The Mandelbrot set is a fractal defined as the set of points $c$ of the complex plane for which the sequence of complex numbers defined by the recurrence relation $z_{n+1} = z_n^2 + c$, with $z_0=0$, remains bounded. One can show that if the sequence of moduli of $z_n$ is strictly greater than 2 for a certain index $i_\\mathrm{div}$ then this sequence is increasing from this index, and tends to infinity.\n", "\n", "For a mesh of size $N \\times M$ in the complex plane, in the limits $[−1.4,\\, 1.4]$ on the complex axis and $[−2,\\, 0.8]$ on the real axis, create an image which shows the index $i_\\mathrm{div}$ from which the series diverges. This figure should be understandable to anyone.\n", "\n", "Only one loop is allowed (20 iterations are sufficient for the figure)." ] }, { "cell_type": "code", "execution_count": 43, "id": "0f5365c4-fd61-4d5d-8199-0a17e905898f", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/3m/7dy_28xx7rb2f52v9hppy8b8fhxqs8/T/ipykernel_45437/3404610555.py:11: RuntimeWarning: overflow encountered in square\n", " z = z ** 2 + c\n", "/var/folders/3m/7dy_28xx7rb2f52v9hppy8b8fhxqs8/T/ipykernel_45437/3404610555.py:11: RuntimeWarning: invalid value encountered in square\n", " z = z ** 2 + c\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 400\n", "M = 400\n", "x = np.linspace(-2., 0.8, N)\n", "y = np.linspace(-1.4, 1.4, M)\n", "xx, yy = np.meshgrid(x, y)\n", "c = xx + 1j * yy\n", "z = np.zeros_like(c) # z[i,j] contains the term of the sequence of initial condition x[i] and y[j].\n", "idiv = np.zeros_like(xx, dtype=int)\n", "niter = 20\n", "for i in range(1, niter + 1):\n", " z = z ** 2 + c\n", " idiv[(idiv < 1) & (np.abs(z) > 2)] = i\n", "idiv[(idiv < 1) & (np.abs(z) <= 2)] = niter # The values of idiv = 0 correspond to sequences which have not diverged yet, \n", "# so we set idiv to the maximum number of iterations.\n", "plt.figure()\n", "heat_map = plt.pcolormesh(xx, yy, idiv, cmap='rainbow')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.colorbar(heat_map, label=r'$i_\\mathrm{div}$', ticks=np.arange(0, niter + 4, 4)) # ticks to give the array of ticks on the colorbar.\n", "plt.title('Mandelbrot set for ' + str(niter) + ' iterations')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "609e79b7-28ce-485f-8951-0b197b3c0a24", "metadata": {}, "source": [ "Exercise 6:\n", "\n", "A continued fraction is a mathematical expression that can be writen as: $\\displaystyle q_0+\\dfrac{1}{q_1+\\dfrac{1}{q_2+\\dfrac{1}{q_3+\\dots}}}$.\n", "\n", "This representation can be used to demonstrate the irrationality of certain numbers ($\\pi$, $e$) when the continued fraction is infinite. In diophantine approximation, continued fractions provide excellent approximations of reals by rationals.\n", "\n", "Let $x$ be any real number. It can be written as $x = q_0 + e_0$ where $q_0$ is an integer, the floor of $x$ (integer part or integral part, i.e., $q_0 = \\lfloor x\\rfloor$), and $e_0$ is the remainder, so the fractional part ($e_0 = x − \\lfloor x\\rfloor$).\n", "\n", "By construction $e_0<1$, so it can be written as $1/e_0 = q_1 + e_1 = \\lfloor(1/e_0)\\rfloor + e_1$ with $0 \\leq e_1 < 1$. Similarly,\n", "$1/e_1 = q_2 + e_2 = \\lfloor(1/e_1)\\rfloor + e_2$, etc. We then establish recurrence relations for $n \\geq 0$:\n", "$$\\begin{cases}\n", "q_{n+1}=\\Bigl\\lfloor\\dfrac{1}{e_n}\\Bigr\\rfloor,\\\\\n", "e_{n+1}=\\dfrac{1}{e_n}-q_{n+1}=\\dfrac{1}{e_n}-\\Bigl\\lfloor\\dfrac{1}{e_n}\\Bigr\\rfloor.\n", "\\end{cases}$$\n", "The sequence of incomplete quotients $q_n$, called the canonical representation, is given in square brackets: $[q_0,\\,q_1,\\,q_2,\\dots,\\, q_n]$.\n", "For example $\\dfrac{15 625}{6842}$ has $[2,\\,3,\\,1,\\,1,\\,9,\\,1,\\,1,\\,48]$ as a canonical representation.\n", "\n", "1) Write the function canonical_rep which calculates and returns the $n$ significant values of the sequence $q_n$ as a function of $x$ and $\\epsilon$ given as arguments, where $\\epsilon$ is the precision to be achieved, such that $e_n\\leq \\epsilon$. You can use the example given above to test your program. Apply it also to $x = \\exp(1)$ with a precision of $\\epsilon=10^{-5}$. Your function should also take a maximum number of iterations (by default equal to 20) as an input in case of irrational numbers.\n", "\n", "2) Write the function cont_frac which calculates and returns the continued fraction approximation of $x$ given as arguments. The other arguments given to the function must be the precision $\\epsilon$ and the maximum number of iterations for the calculation of the canonical representation.\n", "\n", "Hint: The continued fraction approximation corresponds to the first element $\\alpha_0$ of the sequence $\\alpha_i$, defined by the following recurrence relation for decreasing indices: $\\alpha_i = q_i + 1/\\alpha_{i+1}$ for $i = 0,\\dots, n-1$ and $\\alpha_n = q_n$.\n", "\n", "3) Plot the difference between the continued fraction and $x = \\exp(1)$ as a function of the size of the canonical representation $n$ for $n=1,\\dots,20$." ] }, { "cell_type": "code", "execution_count": 40, "id": "4bde22f2-5f4c-4ade-a5f0-f313c95237fd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 2 3 1 1 9 1 1 48]\n", "[ 2 1 2 1 1 4 1 1 6 1 1 8 1 1 10 1 1 12 1 1 11]\n" ] } ], "source": [ "def canonical_rep(x, eps, nmax=20):\n", " q = np.floor(x)\n", " e = x - q\n", " canonical_representation = np.zeros(nmax + 1, dtype=int) # We stop at n=nmax at most.\n", " canonical_representation[0] = q\n", " n = 1\n", " while (np.abs(e) > eps) and (n <= nmax):\n", " inv_e = 1. / e\n", " q = np.floor(inv_e)\n", " e = inv_e - q\n", " canonical_representation[n] += q\n", " n += 1\n", " return canonical_representation[canonical_representation > 0]\n", "\n", "\n", "print(canonical_rep(15625 / 6842, 1e-5))\n", "print(canonical_rep(np.exp(1.), 1e-5))" ] }, { "cell_type": "code", "execution_count": 41, "id": "a7d59666-fd4e-4bc8-9514-cb102cd093a2", "metadata": {}, "outputs": [], "source": [ "def cont_frac(x, eps, nmax=20):\n", " qn = canonical_rep(x, eps, nmax)\n", " an = qn[-1]\n", " for i in range(qn.size - 2, -1, -1):\n", " an = qn[i] + 1. / an\n", " return an" ] }, { "cell_type": "code", "execution_count": 42, "id": "4c2b6da2-0086-408a-88b1-735263827f0c", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "x = np.exp(1)\n", "for i in range(1, 21):\n", " plt.scatter(i, np.abs(cont_frac(x, eps=1e-10, nmax=i) - x), c='k') # We put a low error so that the stopping criterion is the number of iterations.\n", "plt.yscale('log')\n", "plt.grid()\n", "plt.xticks(np.arange(0, 21, 2))\n", "plt.xlabel('Size of the canonical representation')\n", "plt.ylabel('Difference between the continued fraction of x and x')\n", "plt.title(r'Convergence of the continued fraction approximation for $x=\\exp(1)$')\n", "plt.show()" ] } ], "metadata": { "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }