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Created October 11, 2021 04:15
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Matplotlib Plotting Guide.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Matplotlib Plotting Guide.ipynb",
"provenance": [],
"authorship_tag": "ABX9TyPibJjda7Wv6QNESTVJ31+X",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/MainakRepositor/18a98c4afa8731cd48905bdb3acc9dac/matplotlib-plotting-guide.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "TD8M5s56f20T"
},
"source": [
"## Introduction to plotting"
]
},
{
"cell_type": "code",
"metadata": {
"id": "ygpLD3ZQfyBc"
},
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np"
],
"execution_count": 1,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 281
},
"id": "sFvO-Id0f6qj",
"outputId": "54f7afd3-0633-41cc-db61-bf6aa4dd1a67"
},
"source": [
"fig, ax = plt.subplots() # Create a figure containing a single axes.\n",
"ax.plot([1, 2, 3, 4], [1, 4, 2, 3])"
],
"execution_count": 2,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f657e799e50>]"
]
},
"metadata": {},
"execution_count": 2
},
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 312
},
"id": "nVcqmZf9g4OS",
"outputId": "352f9ced-d0a9-41ad-e6b3-355fe7d3592a"
},
"source": [
"x = np.linspace(0, 2, 100)\n",
"\n",
"# Note that even in the OO-style, we use `.pyplot.figure` to create the figure.\n",
"fig, ax = plt.subplots() # Create a figure and an axes.\n",
"ax.plot(x, x, label='linear') # Plot some data on the axes.\n",
"ax.plot(x, x**2, label='quadratic') # Plot more data on the axes...\n",
"ax.plot(x, x**3, label='cubic') # ... and some more.\n",
"ax.set_xlabel('x label') # Add an x-label to the axes.\n",
"ax.set_ylabel('y label') # Add a y-label to the axes.\n",
"ax.set_title(\"Simple Plot\") # Add a title to the axes.\n",
"ax.legend() # Add a legend."
],
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f657e77ed50>"
]
},
"metadata": {},
"execution_count": 3
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "kNszA68ChD-e"
},
"source": [
"def my_plotter(ax, data1, data2, param_dict):\n",
" \"\"\"\n",
" A helper function to make a graph\n",
"\n",
" Parameters\n",
" ----------\n",
" ax : Axes\n",
" The axes to draw to\n",
"\n",
" data1 : array\n",
" The x data\n",
"\n",
" data2 : array\n",
" The y data\n",
"\n",
" param_dict : dict\n",
" Dictionary of kwargs to pass to ax.plot\n",
"\n",
" Returns\n",
" -------\n",
" out : list\n",
" list of artists added\n",
" \"\"\"\n",
" out = ax.plot(data1, data2, **param_dict)\n",
" return out"
],
"execution_count": 4,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 281
},
"id": "T1K5nUFwhJb7",
"outputId": "bd40b6d0-18b4-4193-9791-43b8ceb91caf"
},
"source": [
"data1, data2, data3, data4 = np.random.randn(4, 100)\n",
"fig, ax = plt.subplots(1, 1)\n",
"my_plotter(ax, data1, data2, {'marker': 'x'})"
],
"execution_count": 5,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f657e22e950>]"
]
},
"metadata": {},
"execution_count": 5
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 281
},
"id": "tQKiwQUhhL47",
"outputId": "49c7a48a-02ed-4b1d-bb00-603d62eafdeb"
},
"source": [
"fig, (ax1, ax2) = plt.subplots(1, 2)\n",
"my_plotter(ax1, data1, data2, {'marker': 'x'})\n",
"my_plotter(ax2, data3, data4, {'marker': 'o'})"
],
"execution_count": 6,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f657d96d650>]"
]
},
"metadata": {},
"execution_count": 6
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 513
},
"id": "RCczGFtghOIU",
"outputId": "412bf499-ac4c-49c1-a3d7-d1476396acd6"
},
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib as mpl\n",
"\n",
"# Setup, and create the data to plot\n",
"y = np.random.rand(100000)\n",
"y[50000:] *= 2\n",
"y[np.geomspace(10, 50000, 400).astype(int)] = -1\n",
"mpl.rcParams['path.simplify'] = True\n",
"\n",
"mpl.rcParams['path.simplify_threshold'] = 0.0\n",
"plt.plot(y)\n",
"plt.show()\n",
"\n",
"mpl.rcParams['path.simplify_threshold'] = 1.0\n",
"plt.plot(y)\n",
"plt.show()"
],
"execution_count": 7,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"id": "jigZMGHOhU8d",
"outputId": "f4394f97-e075-4c14-d808-61cf1f435642"
},
"source": [
"import matplotlib.pyplot as plt\n",
"plt.plot([1, 2, 3, 4])\n",
"plt.ylabel('some numbers')\n",
"plt.show()"
],
"execution_count": 8,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 281
},
"id": "A57Hy0_YhcC4",
"outputId": "295a81d1-0e6a-485e-c5e0-50d233d8d62e"
},
"source": [
"plt.plot([1, 2, 3, 4], [1, 4, 9, 16])"
],
"execution_count": 9,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f657d742590>]"
]
},
"metadata": {},
"execution_count": 9
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 269
},
"id": "d1g7fZpjheO6",
"outputId": "876f2bd3-1519-4366-c118-0279944c3b3f"
},
"source": [
"plt.plot([1, 2, 3, 4], [1, 4, 9, 16], 'ro')\n",
"plt.axis([0, 6, 0, 20])\n",
"plt.show()"
],
"execution_count": 10,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"id": "iuVS3b44hfzQ",
"outputId": "d4685884-0b78-41f9-bd55-114ec05e488e"
},
"source": [
"import numpy as np\n",
"\n",
"# evenly sampled time at 200ms intervals\n",
"t = np.arange(0., 5., 0.2)\n",
"\n",
"# red dashes, blue squares and green triangles\n",
"plt.plot(t, t, 'r--', t, t**2, 'bs', t, t**3, 'g^')\n",
"plt.show()"
],
"execution_count": 11,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 279
},
"id": "N4KmE4hkhhQp",
"outputId": "a12d75ec-83f4-4c0d-f99e-98ae538e6657"
},
"source": [
"data = {'a': np.arange(50),\n",
" 'c': np.random.randint(0, 50, 50),\n",
" 'd': np.random.randn(50)}\n",
"data['b'] = data['a'] + 10 * np.random.randn(50)\n",
"data['d'] = np.abs(data['d']) * 100\n",
"\n",
"plt.scatter('a', 'b', c='c', s='d', data=data)\n",
"plt.xlabel('entry a')\n",
"plt.ylabel('entry b')\n",
"plt.show()"
],
"execution_count": 12,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 233
},
"id": "ajC4SqHchjN-",
"outputId": "a342262b-d3a0-43f8-c8d8-fe1f66c1dd9f"
},
"source": [
"names = ['group_a', 'group_b', 'group_c']\n",
"values = [1, 10, 100]\n",
"\n",
"plt.figure(figsize=(9, 3))\n",
"\n",
"plt.subplot(131)\n",
"plt.bar(names, values)\n",
"plt.subplot(132)\n",
"plt.scatter(names, values)\n",
"plt.subplot(133)\n",
"plt.plot(names, values)\n",
"plt.suptitle('Categorical Plotting')\n",
"plt.show()"
],
"execution_count": 13,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x216 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"id": "umiUkM89hlOh",
"outputId": "dfe3e694-8c73-4d01-bc5b-ba484ed28911"
},
"source": [
"def f(t):\n",
" return np.exp(-t) * np.cos(2*np.pi*t)\n",
"\n",
"t1 = np.arange(0.0, 5.0, 0.1)\n",
"t2 = np.arange(0.0, 5.0, 0.02)\n",
"\n",
"plt.figure()\n",
"plt.subplot(211)\n",
"plt.plot(t1, f(t1), 'bo', t2, f(t2), 'k')\n",
"\n",
"plt.subplot(212)\n",
"plt.plot(t2, np.cos(2*np.pi*t2), 'r--')\n",
"plt.show()"
],
"execution_count": 14,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 599
},
"id": "k7fIy1uhhn6v",
"outputId": "3eeb997b-5ce0-4834-e307-5142ec406b00"
},
"source": [
"import matplotlib.pyplot as plt\n",
"plt.figure(1) # the first figure\n",
"plt.subplot(211) # the first subplot in the first figure\n",
"plt.plot([1, 2, 3])\n",
"plt.subplot(212) # the second subplot in the first figure\n",
"plt.plot([4, 5, 6])\n",
"\n",
"\n",
"plt.figure(2) # a second figure\n",
"plt.plot([4, 5, 6]) # creates a subplot() by default\n",
"\n",
"plt.figure(1) # figure 1 current; subplot(212) still current\n",
"plt.subplot(211) # make subplot(211) in figure1 current\n",
"plt.title('Easy as 1, 2, 3') # subplot 211 title"
],
"execution_count": 15,
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:13: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance. In a future version, a new instance will always be created and returned. Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n",
" del sys.path[0]\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Easy as 1, 2, 3')"
]
},
"metadata": {},
"execution_count": 15
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 295
},
"id": "HFsU4-MfhqB6",
"outputId": "59a166e4-35ff-44f5-ec95-6fb3079a71e5"
},
"source": [
"mu, sigma = 100, 15\n",
"x = mu + sigma * np.random.randn(10000)\n",
"\n",
"# the histogram of the data\n",
"n, bins, patches = plt.hist(x, 50, density=1, facecolor='g', alpha=0.75)\n",
"\n",
"\n",
"plt.xlabel('Smarts')\n",
"plt.ylabel('Probability')\n",
"plt.title('Histogram of IQ')\n",
"plt.text(60, .025, r'$\\mu=100,\\ \\sigma=15$')\n",
"plt.axis([40, 160, 0, 0.03])\n",
"plt.grid(True)\n",
"plt.show()"
],
"execution_count": 16,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 269
},
"id": "W7AkbhAahr5t",
"outputId": "ec8a3e4f-19f4-49db-fed9-c18e64cc1b70"
},
"source": [
"ax = plt.subplot()\n",
"\n",
"t = np.arange(0.0, 5.0, 0.01)\n",
"s = np.cos(2*np.pi*t)\n",
"line, = plt.plot(t, s, lw=2)\n",
"\n",
"plt.annotate('local max', xy=(2, 1), xytext=(3, 1.5),\n",
" arrowprops=dict(facecolor='black', shrink=0.05),\n",
" )\n",
"\n",
"plt.ylim(-2, 2)\n",
"plt.show()"
],
"execution_count": 17,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 343
},
"id": "a478vAZMhuPj",
"outputId": "6a32153c-1486-435e-8072-2f652cdc36b9"
},
"source": [
"# Fixing random state for reproducibility\n",
"np.random.seed(19680801)\n",
"\n",
"# make up some data in the open interval (0, 1)\n",
"y = np.random.normal(loc=0.5, scale=0.4, size=1000)\n",
"y = y[(y > 0) & (y < 1)]\n",
"y.sort()\n",
"x = np.arange(len(y))\n",
"\n",
"# plot with various axes scales\n",
"plt.figure()\n",
"\n",
"# linear\n",
"plt.subplot(221)\n",
"plt.plot(x, y)\n",
"plt.yscale('linear')\n",
"plt.title('linear')\n",
"plt.grid(True)\n",
"\n",
"# log\n",
"plt.subplot(222)\n",
"plt.plot(x, y)\n",
"plt.yscale('log')\n",
"plt.title('log')\n",
"plt.grid(True)\n",
"\n",
"# symmetric log\n",
"plt.subplot(223)\n",
"plt.plot(x, y - y.mean())\n",
"plt.yscale('symlog', linthresh=0.01)\n",
"plt.title('symlog')\n",
"plt.grid(True)\n",
"\n",
"# logit\n",
"plt.subplot(224)\n",
"plt.plot(x, y)\n",
"plt.yscale('logit')\n",
"plt.title('logit')\n",
"plt.grid(True)\n",
"# Adjust the subplot layout, because the logit one may take more space\n",
"# than usual, due to y-tick labels like \"1 - 10^{-3}\"\n",
"plt.subplots_adjust(top=0.92, bottom=0.08, left=0.10, right=0.95, hspace=0.25,\n",
" wspace=0.35)\n",
"\n",
"plt.show()"
],
"execution_count": 18,
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:30: MatplotlibDeprecationWarning: SymmetricalLogScale got an unexpected keyword argument 'linthresh'. In the future this will raise TypeError\n"
]
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 295
},
"id": "GN0YDB0Ohx1V",
"outputId": "de96bb17-c0c7-46ec-dfad-2c5d64b7b212"
},
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"# Data for plotting\n",
"t = np.arange(0.0, 2.0, 0.01)\n",
"s = 1 + np.sin(2 * np.pi * t)\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.plot(t, s)\n",
"\n",
"ax.set(xlabel='time (s)', ylabel='voltage (mV)',\n",
" title='About as simple as it gets, folks')\n",
"ax.grid()\n",
"\n",
"fig.savefig(\"test.png\")\n",
"plt.show()"
],
"execution_count": 19,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "N9u8o_6eh84H"
},
"source": [
"import numpy as np\n",
"import matplotlib.cm as cm\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.cbook as cbook\n",
"from matplotlib.path import Path\n",
"from matplotlib.patches import PathPatch\n",
"\n",
"\n",
"# Fixing random state for reproducibility\n",
"np.random.seed(19680801)"
],
"execution_count": 20,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 269
},
"id": "4c6y7QeNiA7Q",
"outputId": "a01cda10-05f1-45ce-9cd1-e6306c0642bf"
},
"source": [
"delta = 0.025\n",
"x = y = np.arange(-3.0, 3.0, delta)\n",
"X, Y = np.meshgrid(x, y)\n",
"Z1 = np.exp(-X**2 - Y**2)\n",
"Z2 = np.exp(-(X - 1)**2 - (Y - 1)**2)\n",
"Z = (Z1 - Z2) * 2\n",
"\n",
"fig, ax = plt.subplots()\n",
"im = ax.imshow(Z, interpolation='bilinear', cmap=cm.RdYlGn,\n",
" origin='lower', extent=[-3, 3, -3, 3],\n",
" vmax=abs(Z).max(), vmin=-abs(Z).max())\n",
"\n",
"plt.show()"
],
"execution_count": 21,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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I1y3C+TGOIQ1YIL+4AGvqLqA2WKh0CfKdP0Ea0AXgShxJ/JLwW7aLKJRCEEUgqweUByNF/dqPc63NMfLnqQE7ZdtDOpDVAkJ0L8k/vvE9AC6sy3oERhcvWWYgnhdeEIxh+Dk8CeT8PQBOqv9BQMQNAD5dt0pMLEKeb10SgnMYSHT2ogLD4HHyqcA4pVrLogsIjS5dQGn3HZa7BA8eE9AF4AocQf410q+2IRyvhaApAjVkP6bwKunApgZU6gTRAXAW/eX9dJ58rh+I7VQqkHL/KQpBWWaoXRbI7+D1QuDFwAy+6Kct//xrSOU9ayimANER6NGFCKlAJPoK+VsuQF5bxUDgydOALgAXYgv5LyU+7ywkEkwmBHJdR8hFoOroXe4SGsQnY8BoFL00O7X9n1L0j2Igdn4KBb4pOQGJ9pr82diiUgRUFlC7jd+YcIu/c7ADpejvfEqA1+l4PdcHmSkNLgqFRJydJ//E/tbgaYMLgCouOuddQBTjSl++/J9q7+M5jhWDLgAX4Bryt4i/RvqleoA+Vn5vIgSLIqBTAx2V9F8tdbgA0pcfh/a6NNhHCn5i+zX5ZwJQ6YiI34nBbLZv52TkLmMYisLhR8hEYApkd2cHE24d5vOU7iY8E2DC+/O07AJgE2GdA4xN37nk/temAVu2raALwE4cTf4W8S+tB8j5ohAA8Y5VA5OLQPyhKOLrNICVcPgLhNfAtAZ0/l+mA0J8if564E+N/FEAOC0DdQGQpsU/Tqm38Gkovm9S1X2fjvieg+k8wUr0lzRGqv7nMNvwJGokvQGck/+oNKD9RV+dHnQBOBg18m8lfnW/jTUCIpMdL1x1HLqWdV1AREAIrl1AmQZoNyD7LpC/ior919HfF/5Swa8kf5xSIPS+tRyANK/8c1zc1au+e8n9XXidQtchGX/PAJ9divrOpYKgS+SnaE+kR2BO/tjwtTSgRugnrAN0AdiBteh/KfnLfZoOYuH6pnC3sqf8VsEOhkxKCTSptSCUKUC2j/bYxV8Lqr9e2//4WUUMxBmMXI4qXqwD+O+vXgMYhnbzRASc8WImxHfnKaYC4gKyYqYoinY2sVFCdDU2AEF5amlA/BIqtYCgD/G7jx/22DpAF4CNOIL8e4lfu2ZTHIpJ2UQQws/ck59TSmBgADv4+f3NALgxEd4OqT7AKR0gY8AtB7Dyo9SkdxNH+6/v9tMV/zih0Jjel3WA/LvKP3f5EKAaTsanImSNL0RaT3xWTsWdQ0FQu4ApRP3J+LTGMCiSXqUBQC4GOg0AUh3Af0FYHBS0hj4U+Onw1OTXx5fXqp671h7ORwLGvF8JgQSzTAS0/bfyyKsxiQCZIBCyTPU/IDoEkq6zCvRAnjjAR93sUyv21chfSwNivc0AMGGcjsnn8ND7TSODjK89+Ojv4AyBTHIBsQZQRH1W0Z/E9kvuX9YAYPOGyqjAvf35B4z9L9EFYAVHk38p6utr7RUFAJjg0n0CQRBkne+58ssMA2JPbCP2H8EFSNQX4rNLLsBVrH/5p/rJ9Yi6Laj19ZfpwNJYgKzoHpozwJM/zuHhipG8o4vWn8KgIaNcSVbMrI1xmBg46caa9Jp9MFUTyCYDVSKgHcFW1IRgx9iSLgBX4BryrxF/ifSLPQQh1weUILDzpA9CIG5gCtNYG10DkAktYwqgoj8ZkB3Ag0t93/pJOwgn1nPyBegbdWbfWTGst0Zy3Z0+26bS4jJFjjfmuTlHxSGY4EZMUaSMXZWTg3GhOCoHF2mAvwhXGqvqAMX/aVfB74kKgV0AFrAU/Y8mf434LdKvjRmY2IGQoowU/6IQwIDZwJohFwGpCZASAudSOmBdEobBKhZRXEfjCJYZeDGl+fgAGGswNXoQfEqQr6s5gXK93t7K9Z0pon7gpRwXo31Wk3Bwk4luYC0NgDNhItEiFfD/vOKzVuoAW/v5D0YXgAb23ta7l/xLUT++b5B+2/Bhv48h4wWBTSYEIG/5iXwNgMnA0pDqAAj7lbUA40Bm9MXAmGBPXhCCKyBj/A00QQhYPZ5Lz9QjMIZmslDr5qulB2vHxPUGVRcQBSCQnidTTwNWv26ekz8TAVEdSblWEAcEYU7+A3sCugBUsDfvv5T8rff6uDSwZ77PWlsNTMz7ARdzf0MGE8boBvx1/GsmAvK4LYn8Ev3NAAwuOYBIfop1ADIEnAz47HNs1sVCaZ8iPhmCKfsygVj4K9el7zTfRpRvzwqDyEUg1upcKIyqNGDekA11gNg4LQIL4vGEkX0rugDsxNrAnGvJv0b8VopQwxT2jSRnkxUBmUy2TSJTFAE5PzvfrxZTAAeyDmym3AGEPxoM+MEAZxNrAmSTK6B4v36YscfOuxZ1f34ta2hFe2YvAnq/mu3X5xAXkJ2nUQdYLGnWKv5L6+PFXD446BnRBaDANXn/EeRfI/4lQqCjvOT/eW9AcADq92dpAIaH9HhsRf64PIT+OakHDAMwhDTgZIGTA50McLLgsGxPFu7kQG+UGIS/bFyRIr0hrHiyOZYKg7IuBmr5Hos5B2pgVQgkTWopBALzYmD1RLeP/kAXgKtwFPl11K8Rf2+NoASFIb9MBmCE3gAvApYGsHOwNMDBwTkHR/7vZB68CNTADsQPYOeAh5P/sQ/BCTycQM6BHwzoDfnIr9IAPzef8ePu1dRdkga0BhnW7PwSSuLPUgn1fuYAQk1gKXLzxKkn4NTcLTWm1hV4YxwiAET0fQC+A8AvMfM3HXHOW2BP9G8V4raSv2b5HbtV4m+tDZQgMv5OVsrtP3MgP/nXcr76qgiwA/jBR8HTgyePkF9cwDCATg54NYDOQQzO3hWYk4EZDczJwp4dnHXeGZxdEgAqehk5t/Ppc83rAEB9BGClB9J/zIWvzk2+LrAZe/Y9Ghe4iqMcwP8C4C8A+MsHne9FYU/eXx6zRn5N5HKfPS5hrZ1Zro/gAoIDcHCwGMChPUzpDwgiYAZl/YMghMIgPajHhat6gNQCKIgATg588sSnN37gjYiBO3thsI5hxrkLkNt7gSKquzznvwRPGozX8v+9ODh1OEQAmPlvEdE3HHGuW2FPt9+a9b+U/BnhRQQ2OITSDVQRor+DFwOpBTjy4wSYwkxCKgXQcwecbOECXBAC6R14COR/OKXS/Th5F3ByoFcWfJ6iC7CvbLgNOLiAk4F1ft0w5DcEDepXOqJOWIni5YQgS/cCtBxBidrgpc14IVa/hWerARDRBwA+AID33vv4c132amy9Hbc50UelaNci/8wBhP20sMg2fbwLHtgVXricLgxwMEQAJhiimA7oFKCM/s64ugjI53XBBbADR/InMfA5MoPODvRqiBODmpOFfRXmAwgugCeOLmAIA4Ocsv6SCpRj+0vMrH/pJszcTUgdIi6HngqzYyhz+LL37b8XBxcOn00AmPlDAB8CwPvvf/KGidIcR0T/uK5G+IqVl3Nl0b7YT0d9TXw5h2NW5HeZAORiIEJAxauBIQIbF+oCwQWQi8RnNJyA7iIMy8RFKqCW6bWFcX76L3o9AOd5LYBPDDv66boGNyUXUPxKR+Rj+2tV/pkTKGsKFREA9kV7Gei0+X4H88TFv3434LHYW/hbyslbdv4S8gvxy+gfhaF1L16cJYiCK/COwDHPhEBqAQMefDtMaqMXgTCXlv5O7OhTgUwAGCTPDRQn4BxwHsL8fOUwXBvvDhxcuj149p0T4iM7y8KgrIsEpwrpi3W+B0L1SJRdlPKcgfi8gYJsWgT0fRG6QbXlG+PuBWDvkF/BWt5dy9XluDLn18dMPG4mfkn6MhVYmkbcUHIFIgCjmzAY68kutQAO3YHFZ3+wr5FNqCcFQXbgB+Xd4y2zKhUIk2vQ5GD1zTfhwR/21RBOmVKBEnEQj6k7AKAd+fVEIXkKcCUxm8WGyvoXMAYAOK4b8K8A+B0Afi0R/QKA72Lm7z3i3LfCUvTfa/3leG3f9XFC9K3kH11YV5C+VQ/IpwoTAUjpwEgOgzEw8GLghWDCyahaQCFkANoigNCvrpP4cQI5B3JDSAWGMImGJ3ntKcB+vv4JqDia7J4ANf2Z/0zhVVn8jPSlKAwmG49gVOSPcwLIXY7yWi7HL7iSV6xBz7r0zDiqF+A/PeI8z41Lo388fof116JRWn/Zp0X+SHjtAMDZet+etE3ep7b6ZYn8fpliOjA6wmAsRnYYyMRrDWaEg8MJD74WMOVdlg/2dRwTgFOqC9ArVQ8AYrJOTqI/R1eAiWGL6cLy8fheBIwBTLiFV27lzcb2Y+4Gysg/2LkjyOx/UQCM8wO2CJ++zDr5l2oKL8AF3H0KUMPe6F87thYxa3m/FoiS/KObssg+uilG/fhekX5rUbBWDByMweimuDywwxBSggfLqZ2hFqC/h2F4gKGvUB80FAWhYrfUA3xjQOHGGxfemxjxW5jSICF5IhfnswWVKAuBQv5hSH8S/c3J+seGn4wvTg6mmf+HL03VCfT64qJhX20/qFSoGiiqU/uDHYAuABdi6SadlvVfIv/kxib5teXXUb8UhJpLSO3IyRXJrxyAdA0ObDA4F4XAMcNZxsQjJh7xoByAg8MD+5qAefgKlCAOrVDkJscwkye/Afxou5Xv2xgCvZlgjItcGpUQlDf4lMHYUEoDNPlNuD9BBiXp6G9Opmr/yZi8B6CcAKVV/Mu+GNN+v7TtYNytALTs/xHRX5ZL61/uq8VhjfyjJr1si4SfC4K0XZanynhZq5yAdAkOZEM64KIQOOuvIW5Avgshv+DBvoY5hZqAYiS9BniWCrhIfgp2v/UzJ0uYPvJt9bP3piHDOgWoDbqrdf2V5Jdlo0Ug3rNg5/a/lg7oAoP/Ugs3UOkCrOX+LbL3CUFeDrZGf71/tctPOYN5wa9N/pGnQgzSOjl+Ypaet9CG2ifh8DtmGHKwRBjJ237pERhMaIOxeLBDvB7beUETAF4PcxfgN2gB4JgORCEIuy39zMl6F+An8XSww3wa8Ro0+e1AMdrryC/Wn6xeDjcvhfWx+6+w/3OyF9a/bEyLzJdY+/5gkP24tvhXQyv6L1n/uC/mBb8l8tf3ScQPD+D1IhCatTSpjXazhhgn48VA6gDODlkqUN6QJAImv6YoAvKdSM8AkPt1wPcIAIsiINF4MuH+gcHAnVwUgnjP/loaIHm9pRj5pcpvwj0K4gZm0f+U7D6dDLT9pzg7ctHFED9k4Q78h6q/LmGLU9h6roC7FIAWLrH/a9G/ekzF+uvIXxb2SvLXnECN+H7SGo6T1wBzIdDpq3cCBPndn8yIkyE4cJYKODuEtjk4q4qd6gmbNSdA7MB6dWCqkL8mAqkQF4pwH41+/v7wCC8+cXyMuFFdiHIs9HlCF5+pRH4hvw3kNyeTon/Yn042Rv8sFWjZ/5L0wLYC4CW40Al0AdiJ2u23S7l/LfrLeXLrX1T3Q8FvifyyfHae/EL8s+NsxioRAX/d+WcyKpU9GXkQLuNkvBic3Rmv7FSQX/U6DEr81kQAAL+e+/WWCGRVeBGD8wQ3OEwn5+8iHEw2rx8AP72XFgB9Don4hmbkN0oQhPywBDyYLPrTyaTqf3V8cSEC+aijdjSXbZIqlMQ+eBRhF4ANuDT6Vwf9FF1+sl8W/SPB3Mz2a/KfnYtR/zx5kp+dz/1nIuCkGChty4OTTwMIZ8dREE4GODkvBBM7nM0jxpB6jDYXrdf6ybstEeBK96CCFgG2BKeKbYMalOPOBtPZJSEYnRpN6AlS3oBbG+gjOX9JfhvID+0ChPQ6+ltt+2lO9Br2VP/X1h+AuxOAS6r/5brWHYLlzT5yvVrhT/ZP0X9e0c8HAAXiFeQ/uxT1z8H2RxGYtAjwhjSAYYmSANggAibMe2kBxyOclXalz1Le5AQAHCYVnTkBdql7sIAx/vFjzlJyA0EIbCCxGxzk6T3mxDDnKZvau3zOgD9vmonYqKKetvxCfvnQJEIgahgIHgVhqHQxtCK/7v8v+/hpRTRa6E8Guj1qYlDeuy/7tQp/pfXPhv2yi2JQI/95yqP+2c3dgBYBoNUjMOvuxskFLlh/rleO/PUGh1f2MbUVDGdP4dxc/VU9DK9hkAvBzAkEEhCUGzAENiPYEDiQ1sidhG888cURSApgkeoA8VpqrL8mPomBIG4AACAASURBVFlK3YA2EP+VTeR/SEIwF4RA8sEuEn+z/Zf3a/cOHFQABLoArGKr/V90BahExxg529Z/JgYN8p+VA3DqfVUEYipQHxdgDbIUwBBwmhivLeHsgFdWagoEx2eMdoJOBSSuS/SPzocdXg1fMRcBMv6IYvgsGT8YxxOf4E4GeBh9oz4aYc8+T3chDbCvOEwwEkSu0u1hVBqg6wFWintl5Nfkl/z/IRUF4xRoW6N/+bTlWu7fel9+R9mXeLkTuCsB2FOlb61rFf9kn7Lrr9zWiv6l9ddFv9FNatBPm/znibN1fl9P+ok5vNZFQAYFWUM+vTUES4STpVgYfC3XGLwYnC18IY7fxPbPvi9V5wAwFwHyU21zZdBM7F57MDDGP3GIjQGfDPijCThPXghCIUR6AwBkNxX5y1B8jROQKrWLBT9DlcgfbJD1PQE0GEX8Sk/AUvSXz6g+/66awcG4KwFoYeusP5egrPzr6y1F+/k2p6L8OvlTKsB4nHgmAkASAoENJNEC8GAJD9aE/D/VA3QPgzsZAOf0mZUQ1BxU1QkAvouwII2vtL9JxD+NcB+Fivyjf/AIzn6+AXtWjQPgpvm1M9KrnIciwU2x7MmvBSKz/nEiVKvuNKp0A0pEX3MAtYFCNft/kDB0AbgSa/Y/LksknFX+57fztqz/xInoZc5fI//j5Dz5SxFghubGxKwcgF/nyW/wOAEPlvFgCWdr8HqgmFpMJxOEwGFiwsSPi/cfaGQiEH7MMR3QiJH7HCvvRsTgjXcB9Oi7Aenswrz94Q5D2KwWEMcFCOlLMXjwxT2cVMVfk/9kQJr0tUhfigCQ7D9QL/7VyHyJ/e8zAh2LLfl/XLdi/4EkCFL5L7dXewMK6z8FW68r/Zr8byZE4j9ODpPjXAQ4CQGATAg0+a0hPE4Ma4CHiYMTYExscHYm1AIcXBCEhHP2mWowZECTaY4TQOgJKIlF5jFGa/5oBJ8s+M3oHzoS5hokmVNgSsONKw3InlUYiR/7+Skr+NXJT8jvLa6MB5B1a9G/hWe4XbgLQIFL8/8WavZfd53piA+gkgq4NMrPFSJQifya/I+FC9Bi0CoG5rUAnwI8GsaDIzyEYx8sYxok+ifXnYLtGTVQZaT/TATEDbyu9BCYQMLH4AbOE+hkvAhM7B9F5jiIgEv9nVqhLGWvQvw05j9E/dIRlBY/3ltcsf5KGDZF/6XBP09o/4EuAFdhqahY9v2X+zfz/WoqgGDdMXMCZSpQI38pApICSDpQwhLFHoHHyacCkyNMFkkAnHcDU3jOgC4n+EF+dREAvBAYJQbVG4iMyXsIisE2vh/eR39YCg7AqySfnX9aT9mw7PxBAGI6kPr4Y9S3lPr6y8hfzi4yy/+Lyv810f8S+1+1PnPcjQBsHQC0F7Xjt9j/fOAMZ+t07h+Jr6J/GuSTxv+nnL9O/sfJVdKAeSEQyIuBvg6QUoAHS/jYKS8qArbBs1wEZA4CDQo/3CgCxQ859hCUf8EJ0Dj5B5CMoRj46IBTuMU4DDeuPe1XpgCXm3piQTDc748wTiCRviB/JdrPRKAW3eUzLm2PjewpwIvDlvy/th2odRtyXjTT9j9O61UQP1tGFAFd6BPSf3mc1DrGo0s1Acc86yoTjEg34Qj5H0MK8LGTwcSMjw3IUgl3aj39xouAUT9mQyYSH0B92LCKekQmPV5cLPfj2b8fJ2C0oMezFwKpB6jpxqjyGbOCoJBe3ECT3IUg6DSgEKhmv/8aqct9yi7ELaKwY1RhF4AGWgXAXedoiMGa/ff7+fcSyPRdfRL9RQTm0V4KgEDZE3BWc+/pvxIiAM4QpolgrcFkpQZAmBzwsVP6ofkgOxcB/1tspANDEAZ174AfMagmGg1EajqBcfJTAw3WTzwapiMnFwYFuSQCVcjQx/CZm9G8JPvC68z6b32f/wNaLZ5v7wOBnh57U4Va/r8kKvOeAJdN6lHe2qt7AiTq+9m2k9UvhcExw42eGPIaXUBRCyDKJ8nkgeHYhLZQqiHErkU5su0ETKBhmoxU0bIUAZoXB8kMgPkoCYE4gdEmIZBnEDjnxQDA6mwh8lodxEPrll+JRZP84TNUewXUZ7w6+u9EF4AV1HoF1sSg3M6zfH/e3y/bAGT2X4/fl7v6tDAI8aMIxKivCn8yYGd08Y8dg7ntAIDkAogoioYbDKaTxWSlG7FWSMxFILltSQeoWg/IREDPMVgQhsiAYxqgXIAIgTyYZLBRDPyXWPm/lQKgl2f2fjnvp2FQxB+Wya6vv1T5r2Fp3x32H+gCkGGp73q275Z7BHadrxABFVV15C/v7pucKuhxEoGJfc4vtr8kvytSAQDVQTPRATDDWJPG2gc38DHOf3BpngybFe79NgZwhsw/aMjAjGcYIjyGXgGa0vniHINlJDQGRI+I4wXGEXhU5CzJL9OQAXMRiAKgyd9yA20RWLX9Leuv8czRH+gCcBWWIv3avgI9hl6nATHyu7n91zf2CPG9EBQiEMShRn6dArSKgVkK4Bg8eBGI+xYPDJbuQ7UmrA9/ZxfI/xjTACD0Dgw+suvioCGDh+F12yqPj6BXUiDU9YDw9NAtAgBcLgIt8tf+Wm7ghtEf6AJwNXQPQGu7Xi4LgGkbV/avz+WX6gK5Ddf9+49h6PBURPqS/LIMVOoAjqoiIKkDgCgClghfHl3qQjQUBhOZONmIIcCcGZYcBjPCTKTcAMHQR/Hahkx0BdkTiEpCjY+hl+Bx7gD0A0qXBAC4WASq5N9S5CvXaSF4pugP3LkAPOVNQHvOrSO/vM8G1hT5v8bMBYgIhOifVftVzp85gEaXIBkCMWVCkOExvD4AX44237uAL59dXPbEd1EMThNg6ByfSZAEwIDwmJFfMHsMmW+g/5u8CMCO4Ek9MkhetwiAQAuBJrtsWyK/HeYRvdbesjC4ZP3L42vL+riduGsB2IuttxNfc5weFzCpAmHcXub/hf3XA3scz7v7yj+pBQDzFIAdJwcQhKAEjX77R/BR/8ujv6fAGuDLY3ABxobb+P10Y6fRC8XJjDCTfxKRmVJKQGRAMNkroERAEd8fYAB6BKawrxn9OIDMBRQCsFYQBJIIyLo9UV/atZT3b7H+Txj9geMeDvopAH8OPun7n5n5Tx9x3ntA2QNQg879t0Aq/5rYXBODYp3sKxDbHyfjHAzcmBOHVM7/aA0s+S5IcQCPk/97Y0ysBZwMQaYfNzRimExyA9MIQ28A+DTAwMRBRAQTHk2uGxDIL8vOAG4AuRFgBzZjEgB5ckjtCSIaDSHIpvRaK/jJ8TXylyKxxfo/QfQHDhAAIrIA/iKAbwfwCwA+T0R/g5l/+tpz3yuWxECgh/KW+b92ApkILJC/JgBC/tiu0WUiQIbgJudfR4fz4GAJ+PKZAvk5SwVOxk8k8mZi7wgmeAEgo8hPoTZAONPgI/qUf/ZMBFSvAZzx740Ly6M/np0XA/34oEbXJ4Dc8gOgmmVvkby1XlCSv8TWdQfhCAfwLQB+jpn/IQAQ0V8F8J0A7lYAapb/iJGF8fwbnUCL1LVled8aExCvPaZpuLUQiAg8EsEaFyO/3FD0OBE+mnw94GSAN8Y7gbMBHp1PBYT8AxmMzsKSrwfAAOQ8CeQmoigCmhyTpAZjIhoH0rMDGRfFIH3mwtHULHorWtciec0l6P1b517qElxaf0X0B44RgK8D8PPq/S8A+LfLnYjoAwAfAMB77338gMu+XVBz3D4rSgfQWs5HBYY201wk4jGUFxRl5OBkCJOlOCTZGsaj8csPE+McIv/JEt5MHNICh8FMGJ3BSAaPbopuQOoAY6g4Epn4NZ7swzyndor4U3g1DnBjyvuVCCwG15KwNYveIvma7devl1r/A/BsRUBm/hDAhwDw/vuf3BjD3k4YGEw3IPsR0NlHXK45BdNOKfwNRH48gr+RKDmCk7VpLgMjQ5oJj9NY1AFSKiBRn8hgdI/QWnoyD8AQ3ICkANoFCPEppAbaAaz1CABtcpaFPlnesl6/biX/Utuq2HY/8BEC8I8BfEK9//qwruMdgp5cM5Ke5nUEdr7nIpJ/YjzYdD/DeWK4MMNw/AtiMJgwCaox0Q34VGAEsSd/KBfCGDMXgVE1WMhPBqAxSwXCBwLIlR8yHYviXOXykiMALiP/EvZY/x1O4QgB+DyAbySiXw9P/N8D4D874Lx3ARkTr8fG++W2STKUZu9dgx7SeymYfToApMKgdgGyXv/5AmUqSvp7E/wMQ2kCE2Qu4OSmSPqRHMYgCIbOIDIwbHDmx5RJGYDYr7c0eBHQDgDwJDfiCIror8dqsFsmvn6/5grKVKC1T3mNZ7T+gqsFgJlHIvoDAP4P+L6V72Pmn7q6Zc8AIrNrwI6BuWgswJ6UwBTWzRCFh3aiSniZuktm8EnLPh8HAvmnVKyTfn1N5mugRxLqc6UxClwso/IXhjqDZy7AEGEwIyaXor8Qnzg4AQMvAlb9pIX4Qm5ZBuZisMdu77XzR5P/oOgPHFQDYObPAvjsEed622DIhBS57B83eYRZOQfYFS7Ak/lcOAFZb4jjsNsW9Oi92kg+3c8f4RhlL2Ttxr0lsCI9oIYsq/sYyj9xAyc3YSDrn4kQXMDAXhTIjBnxowAAMOE1EwFNcDf69ZIK6P8PFU4g/5La7/fk8ZeQv4Yrq/4l+kjAK6AdhCGDqUJ4vd4Pe+V0J5wid07+VOXSj+oyhuAfuJOOk2gfo390BH4ajhjxXS4E5Mhb6MIBkKFqP6N2D3G/DShnH567AJ8SnAzgmCAPPx3YxPslfBpAGIyNk6pOPMIERwADGOdf/XcSRGAaATMkgksBMEZ/UxGDFYLp7UtkronBXvLvtf4XpApdAC5ELR0oo74mfyvdEFEQTosbkChfvXacvo7Sk3w0+Y1PDQz5R2tR4w+u7gxq0PtEEaDGPQIFNPkBGcpMYXAeA5byNEBNiza6CYMxUQi0C3AUhIANJowxFQCUCNSiP6s/a5IYAMs9A0t99UvRf8vw3y3kP9D6C7oAKHg7f133XS3f35oOSOQXNyBPn7ZuXgvQhcClOoDjRFK5nz+L5Fwf4luijPw10tNCrlCmA2m9SgtkxG6M/A4DpVfHHB+vNnEQAhi/TAYE/9RhggORi4OIACH/mLoQ5X/ChQOQhyOspQLlutbyc5D/CnQBWIGIgo7ga8XDJcJH+08Mw2lmHJkiyxCp9fpx3QX5VR2glQb4ufsIPCTimyH9kNzoYiogo/tahcGyllBOGbZUawDS8wY00oQn6X1yAPkjyEeeYJz/XsQFMDtM8MuTkDt+OABmSCIQ3mcpgBaC8n+2NaLuJf7SMa3rrpH/il6CLgANEMxVw3fFCcgIQJ/xp9w+2zeIgi4EepFo1wEMcTUNeLAmVNwJE3sR+ChEeXac3dorYhD79NXgnmqEL8hvBlNPLTB3JWsoxSDOkJQ9KKXiAsg7ABNEOUy0BiYXRCGIgDWpa1Cg7X9ZC9iKtf75PWR/ZvIDXQB2Y09XIEVSLxcCtfX32/16ifJraYCP9DJh5xRF4cF6EThZg0fHWfQH5jf3SA696AAqkb/mCESQNEQUsjZUyhxpHsTa7dDBFZC3+0J6p6w/wdt9a4YkAjD1OoBAvppLNL9G0j1Rv7XuickP3JEAXNqHvwYiP1DVsSekL9LXr1OmDoZIFf+89dfrhfCukQacjK+aTy65gAdj4hN8Jkf+vZtgG2G4NpAHAJhWUgDlIow1mSMwOiUxcxegRaBVPyxnS0pTpvuCYEZ8CkIQXieMAA0gdjDkJ2fxmY7xpKkbsdCgWmOKnVvE3ELsF0R+4I4EoIW9g4E0WqJiYOAIWfQXN0Dw1t7XFqYs9wcQl9NsOa7I/f2NNJIrz12AC5HfhOq7g398l5vNsgMAbBoCsNIVqAuLZTrwYJX9L7omZeyCfJYlzKK/eoaipGeSDogjIPiZh6JAACA4z/mtIpB9Qe6y6vulxAeejfxAF4AZaj0BtXVbhKNWB5AeAj0NlqQBtWVLBBfSgFPoOvOP8567ALH8cdkRABMsdV0E2DGIaDYz0GoRsKgFyN/JmihIthQDk4sAkAtbDbogKOE5TZ/uSW9DlJfcXyI+wcEwwOSnWNstArXhwUvYKgZL+z5Rtb+FLgALKAuBq9X/yi+qrAP4lMFHf2Bu/aUHIF9WQlBxAScjD+6UB3lyXNYOoBQBuYc/G9+/MD+gvJb5fhSA0PPwYExGehEDeZ96Mfb/T/S8iXK8pAG6G1BcAIJ4mzC+yZJ3bZkIIHw9mvB7yV/DHuID28h/YPQHugBchNL6pzpAsPYADENF++U0wO9TOgK/PBgbSO4HyVjno/7EjJNNjuBkACeEDwVBIb12API6GYuzms0nSwEs4qvGUh3gZGXKryAC1mTRPxMB3ZVpKHMBSRzy1KgGifrlna8pLUguwAFRFLLnEkrlX91dOCP/nhRxiaAvjPxAFwAAT1MHkPOKEJRpQKs3II0PSMuDsZh49HbfCOEpCIN0oVGIjiaMuNOhzcKSTM0V5upzPko+Tir6L9QBagOByPhnBmqrr62/iEC5raxpGFq+s9EUP3ydDgCJ8NIFKFFfuwDZb5YK+A+jRKBwAbL9GlxL/CPa0MBdCcA1PQGXDAgS1NIAZt3tx7n1J4PBcHQU9VqAkJ9wYgDww2sBxhStv68B6Mgvr9aYNGPPxJiI4Uy7BgDk5I+VfilCGhNJbw0U+XOBOBmZFHQuAsao5a0PuK+gJL9TLkBSgaoIAEo3r3AB+nxLuDH5gTsTgK3QRb/WgKB2GpC6A8s0wHFyBTIoqF4MTJHfcVoGphDtOfSfU7D3niwuLE/WtxCQx3EBQnprOMzTx5AZfC2p23UZgE3j9kvoeQiE+DICUZN+/mpwson4J0M42dz+x2cIhB983juSSFA6Ag0HB6vcQfleI+sejP9Ik1f+3UEuQOMFEF/QBeAAbE0DgLweYKII1F2AAQfi+5tmDBFOxkd6/2RuDlHeE98FcUhJcYr6lhLpJRWY2DuA7IEijTH7Av34L018ifplDUBeTzZFfyG/9GLIPQ+S/8v3pIUgftcb701mdWdQJHrpAsL5Y1Ew/tNMivilEFyKvdX9ZyA/0AUgYlO33oY0QCJ9OShIHEIk/0YXINsGsn7EaigICsmTA2BgoDAtll/n7bmFNS4MzHFJBIy/S0+EoHywyJIAAPkAn0wEQirgbX8SgUR+Pytwej6AiIDfVhb/ykeK74GkAkuQomBVBNT/LyPwHjG4pFvvmcgP3KEAbK0D7E0DZPBPKSKyXhcDDWHVBUjkl0BWpgI++vt6QIr6cxHwryHvJ3lwh4M1NryajPzl/fslZETf7PZjEQHK8/888gfSh+UoAir6exEsnFAR9be6AABZETBbLwXBWs+AhnYDsQFPRNBnJL7g7gTgKVBzD5roer+aC/B5r+r6AzDqewNUKgAHOHLwT9YpyK9EwEz6nN5VnEPRzxrC5PxgotrDRYAtDiC/7TgWA1X3X4385TrJ/XX0H4yNxNcioMXAkGmTtsCsLhCKq7X9MhcQ/3GFG3gK3ID8QBeADJemAeU5ZExAfM9YdAF+3H9yAd431FMBGRvg4Qe6VkUg2mWVDpCffFOKfiIEugC4LwXQqQDF6G+NELpN/rjNihCEz0Y2fdbC/se7JovvmxpFPg1dB9DCIWLQTAWyiz2BENyI+IK7FIAnTQNWzqt7C3SBUMg+GOunwGqkArPlFRFIxE9uwBnKhKB8zJig1hMQH/8dSO+XU/T3xNZRvR75tfU/Gf85hyLS1+y//7+QF1FF1K1uQIPj+IyduFYIbkx6jbsUgGuxVgxsdQnGSjQhjgvw9E0uwJ9/ngoMxm4SAW/L0+s59K+byYuAJT+EWIRgkvsLsvxfXMD8s+suQP8+De5JkTwXAV3xT24gvZ9b/Tziz7YtdAk2o/cCdrkAjT3jBF4Q6TW6ABSoV/WvcwGt4cEiEMxG9Ue7YPOB0SHm/35izJQaDKmHL8CP8DvHgOkdgKFEfDuFh3MoIZChxCIGgJqhZ8EByDj8fPhuIQKhn39u+7UYmBD9LYa4HF6NX1eKgfyfJOrHpwcfSLLNIiB4oQRfw90KwFPMD9ByAeUNRdENoF0QBEJKAIsR0ywVGB1mIuAHAgXiF1FfUgDHiEIQyc9JDAA1IUdxt45+m/rrKyKgBvhIP7+2/TXyN6M98vcAMvsvFn5v5G8VAu8NdysAS9jiAso0oOUCynEBZSpAbOI2SQV89J9i5BcRKCO/CxEbDjCGMLIDMMEQ4+xSSqDJr5cn9l3aJfnjeReQD9pR05UVxM9EwOq6QE5+ifY1MRiMyd6vRX4TCoOy7x5x0F2Cu13AW4i7FoCjXECtFtAaFyDXraUCwOBns2mIQBn5HZyK/l5FjCWMbgp1AP+kLOMS0WUUnNxKPJkkBkAa41LL/wVSBzCqCFje2FOO8ktOIBU3xfYLyUsxqNUBJPqTIrl877K+9T/qmOOuBWAPllxA3CcIylpBkJXtl1SgrAfoomApAi7m6qTcQLDtzOr9BMMcawOyHMnPlIkBgPg4scatAOG78K9RCBTpMxGY9QYEspPJIntJfrH+cTn8kRCf5sTf9D9c2G/32IB3BHcvAC0XsPVOv62pAJAGB9VSgbJr0BFgQz8AgFk6EN+H3gEXBv1IF+LoJhgbnrTjfFrgmDAZVOw/zwuAWxxAVghUbsDkKYDc3z8YmxE7vlL5Prf82vrr3D/rDUASBm3/l/5vHVcKABH9bgB/HMBvAvAtzPzjRzTqpWJLj4Cg7gKU7cdy1+BWEdCRX1KCcp2kBX44sb+T0DDBEXBCEgNAT8+9oACYE94vl7f5qsFLitQ1opfrtDsorf9W2w9c1i14T7jWAXwRwH8M4H86oC0vDte6gBjNZRnzXgF9rwA3CoYtEXBwGOGCELiYEmg3IM/bM4aQ5th3Iep7MTghOQMvCHokYR26AOjf56SXtpZV/Ehq0JzoaBT9Cuu/Fv1r/8fa8la8y2nAVQLAzF8CsPhIqLcBe4qBay5gb6+AFpilAUQWAwy5aPsdO18QhCe8EB0oI7+L4iDrHVHaL4hBIr7qXVj9LvyrJn0kboX4+s7GfNw/Vck/GBvJb5CTfyn61+z/GoHvNSV4thoAEX0A4AMAeO+9jz/XZa/GXhfQOr7sFdhSDyi3694BwHcJamKXbiBFfgM9t356+KYLM+b49wOQfYZaGpDfm2+ydUJiWdfq088jfFnwq5OfGuSv5f6xfQsC0eGxKgBE9CMAvray6dPM/INbL8TMHwL4EADef/+TywnmDbDkAraODlxKBWr1gGtEQJM8CgJyNzCP/KVTSGIACuSPfeArNQCkiO9fKb7md+3N3UAZ9WfpgbL9QmJLQ5X8rf/XlvUX3QfwjmFVAJj5256jIW8brkkF9oqAJQMOD76QcQLefqduwiWyl9tACFE/TwVkUMFaATB9BwsigIoQrET9MufX0b1V1d8S/d/V/P0I3H03oMYeF9A8hxYGagwQ2igCIAN57JUeLBQo7qe8piLHvyDquzD02G9P5G8JQZ4GJPsvn3+PG1givzVDdUTfkvUvnYE+RtpX+5/dK67tBvxdAP48gK8B8L8R0ReY+Xce0rIb4chUoDznXhEA5m6glhJYMqtCoKN+LgaJzFkq4D/U8ndVifzlek36bN2GqL+V/Pr/U1uuodt/j2t7AT4D4DMHteWtxKX1gC0iALTrAiDjn44b3IBOC/xY/1wIgNQ74Civ9mtBCJ8qWz//zFS8r6cAsq2ZBigCr5Ff23k9FkCuUW6XZTm3bucS7m3IcE8BKrgmFThSBHTvQewODMfGx10hpQuSFvjrz4VA3gNq4BAQBQEwm/P/+F3pdGCB9Gk5va9FfVm/hfzliL8l61/+j1L774vwJboAXIClVADYVhTcKgJAURdAvUDo2FWFwBDmLqAiBoK9N0flkXieCtSEQBNfvptWLl/bT85RFv1kn7V2diR0AWhgyQVU9y9EoLb+EhEA5lF+7gZSWlAKAbPLagQ14ud9//sGdS2OC1BCUFr9uKy2LeX75XlqRb8t1n8p+jfF4x2uF3QBWMDeVGBLUXCrCABp2LDcH1CmBEByA96+u6YQ+Kxc2hOsP8trUQjc8x3VegRUlJbP7FvYjuStHP5a8mv0wt8cXQCuwFOKAMuNQSznzVMC7Qbist+K+Gy8EPUt8ufkUXhvycQ0QVBzMUuYRdEN0XiNyC2hiMe3zl0hf8v6b43+7zq6AKxgLRW4pCioj6uJAKC6AVFPCYB5d2EuBKpGABddgRYDf67UdhGFGpZm0M0Ip/YpLfjWCF47Th+jr7OV/JcW/t5l+w90AdiEa+sBe0QAwGJK4M8R3iNPBYBcCOITcrUrgCI/pwdmlE/QKT9vSf4aMWrkq5FeH7+WHuw9trx+re1L7b43dAHYiGvqAcA2EQAwcwNaGFq1AaAhBEBTDADlDsJ+/txh28bI10oB9LaaQ1gr2C1F/aXjyzbNhGuH9X/Xoz/QBWAXjhYBAHGcADCP/IAidqM2sGTx4z0IFTGQ60H9yLc8TLP53dCcnMA20tYIuxb1m+t2kL+jC8Ch2CsC5fY1NwDktQEg1Qf8ucI6OXdBfABJIIr1AAph2PZ5S5RRczF67yD+2rrW+Wrbltrf+hzvKroA7MQlRcGaCABYTAn0tRYdQjjnkhAASgyQRAQoBCE2MP/x67sZl1ASao2oe9OFLecsz1tua7W11e53HV0ALsClIgBgc10AwLobqAiBv4ZcU61T22ekp+XPs6Ue0Ir8cftKRX5r2rDn3OW21vH3jC4AF+LS7sGtdYHyHC03AGC+Pp4nXTcr+AGzlledwEZUU4ENxcHy2GZ03xD1y2vUtrfamh1zR9Ef6AJwFZ5CBMrtmwivC3kq6ueuwBUkrDW4Ppx5Ca3C2p7q+17iV8/XyX8RugBcpiqAiQAAB89JREFUiSNFAMCiGwDaQrC2rfxptx78UTqFNbT62NcIuJQyLG5bIf6Wa1fbe4fkB7oAHIItIgDMq+trdYHaPmVaAKQiXdMVFGLgj21j6alAJZa61paKghdtvyDq187TkdAF4CBsGS14qRso92lFfWDZFbT20dA1hK3YW1E/mvi1fba0bamN94IuAAfiSBEA1tMCOR+AmSsA6kSvCcLS/luxRKI94wWyfTYQv7bf0jnX2nFv6AJwMLaKALAtJQDaQqD3LaO+tCXuh/l+S/tfgkv61rcQHzg+6i+16Z7QBeAJsPXmoSU3AKwLQWvfNTEQLInCtdjtCDb2Jizt2zp3DZ38Hl0Anghlga6FlhsALhOCcv9aClC2sYa1du8h0KIz2EH8pf3XrhOP78TP0AXgiXGtGwD2CYHev3rMQgpQtvsSbCLhTtIvHbP1mkAnfw1dAJ4Be0QAaN+MsyYEwLIY1I7V130qrPUqXEp8oJP/WnQBeCbsmVRkyQ0AbSEAlsVAH6uxd/TfWru2YG2SjqOID3TyL6ELwDNia10AWHcDwLIQAHOStUb4Pcd98lsm5NzSjk78Y9EF4AbY6waAbUIALEfzGgn3DPvdij2z724Vn71pSif/NnQBuBH2uAGg3rVXPe9GMYjnvQFRdqUKnfhPiqu+LSL6HiL6GSL6SSL6DBF99VENuxcYmN0/WqL6o7Jn5yYz+7sFLmnD1s+YXaeTfzeu/cZ+GMA3MfM3A/gHAP7I9U26T1zy4xWS7MqLK6JwhDC0zrs32l9K/E7+y3Dt04F/SL39HID/5Lrm3Df2pgUaW1OE5rVv5A6u6YLspL8eR9YAfh+A//XA890trhECYHn0361xxJiDTvzjsCoARPQjAL62sunTzPyDYZ9PAxgBfP/CeT4A8AEAvPfexy9q7L2hdjPPJbiVIBw9wKgT/3isCgAzf9vSdiL6vQC+A8C3MrefLMnMHwL4EADef/+T+55A2XG1K9DYQswtIvFcE2104j8drkoBiOhTAP4wgH+Pmf/lMU3qWMKRQrCEW8+i00n/PLi2BvAXALwC8MPkHw39OWb+/Ve3qmMVR6UHLw2d+M+La3sBfsNRDem4HG+zGHTC3xZ9JOA7htr8fy8NnfQvB10A3nEszf93q2t3vBx0AbhTdHJ2ANcPBe7o6HiL0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OOcZUAENGfIqKfJKIvENEPEdG/dlTDOjo6nh7XOoDvYeZvZuZ/E8DfBPDHDmhTR0fHM+EqAWDmf67efiUAvq45HR0dz4mrHw5KRN8N4L8E8M8A/PsL+30A4IPw9o0x3/rFa699IH4tgF++dSMUXlp7gJfXpt6eZXxyy07EvBy0iehHAHxtZdOnmfkH1X5/BMBrZv6u1YsS/Tgzv7+lgc+B3p51vLQ29fYsY2t7Vh0AM3/bxmt+P4DPAlgVgI6OjpeBa3sBvlG9/U4AP3Ndczo6Op4T19YA/jQRfRKAA/D/APj9G4/78MrrHo3ennW8tDb19ixjU3tWawAdHR3vLvpIwI6OO0YXgI6OO8bNBOClDSMmou8hop8JbfoMEX31jdvzu4nop4jIEdHNupeI6FNE9LNE9HNE9N/dqh2qPd9HRL9ERC9iHAkRfYKIfpSIfjr8v/7gjdvzmoj+DhH9RGjPn1g8gJlv8gfgX1HL/w2A//FWbQlt+A8ADGH5zwD4Mzduz2+CH8zxfwJ4/0ZtsAD+bwD/OoAHAD8B4N+48ffy7wL4LQC+eMt2qPb8OgC/JSz/GgD/4JbfEQAC8FVh+QTgxwD8O639b+YA+IUNI2bmH2LmMbz9HICvv3F7vsTMP3vLNgD4FgA/x8z/kJkfAfxV+O7em4GZ/xaA/++WbdBg5l9k5r8Xlv8FgC8B+LobtoeZ+VfD21P4a3LrpjUAIvpuIvp5AP85XtaNRL8PwP9+60a8AHwdgJ9X738BN/xxv3QQ0TcA+M3wUfeW7bBE9AUAvwTgh5m52Z4nFQAi+hEi+mLl7zsBgJk/zcyfgB9F+Aeesi1b2hP2+TSAMbTp5u3peDtARF8F4AcA/KHC3T47mHlif4fu1wP4FiL6pta+V98MtNKQFzWMeK09RPR7AXwHgG/lkETdsj0vAP8YwCfU+68P6zoUiOgET/7vZ+a/fuv2CJj5V4joRwF8CkC1aHrLXoAXNYyYiD4F4A8D+I+Y+V/esi0vCJ8H8I1E9OuJ6AHA7wHwN27cphcFIiIA3wvgS8z8Z19Ae75GerCI6GMAvh0L3LrZSEAi+gH4KnccRszMN4suRPRzAF4B+H/Dqs8x89ahzU/Rnt8F4M8D+BoAvwLgC8z8O2/Qjv8QwH8P3yPwfcz83c/dhqI9fwXA74C//fafAvguZv7eG7bntwP4vwD8ffjfMgD8UWb+7I3a880A/hL8/8sA+GvM/Ceb+99KADo6Om6PPhKwo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO0QWgo+OO8f8D4bAMBSdt/CEAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"id": "-cI80HH6iDAT",
"outputId": "5cd72fec-39ea-4934-8884-6b695793352c"
},
"source": [
"import matplotlib.path as mpath\n",
"import matplotlib.patches as mpatches\n",
"import matplotlib.pyplot as plt\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"Path = mpath.Path\n",
"path_data = [\n",
" (Path.MOVETO, (1.58, -2.57)),\n",
" (Path.CURVE4, (0.35, -1.1)),\n",
" (Path.CURVE4, (-1.75, 2.0)),\n",
" (Path.CURVE4, (0.375, 2.0)),\n",
" (Path.LINETO, (0.85, 1.15)),\n",
" (Path.CURVE4, (2.2, 3.2)),\n",
" (Path.CURVE4, (3, 0.05)),\n",
" (Path.CURVE4, (2.0, -0.5)),\n",
" (Path.CLOSEPOLY, (1.58, -2.57)),\n",
" ]\n",
"codes, verts = zip(*path_data)\n",
"path = mpath.Path(verts, codes)\n",
"patch = mpatches.PathPatch(path, facecolor='r', alpha=0.5)\n",
"ax.add_patch(patch)\n",
"\n",
"# plot control points and connecting lines\n",
"x, y = zip(*path.vertices)\n",
"line, = ax.plot(x, y, 'go-')\n",
"\n",
"ax.grid()\n",
"ax.axis('equal')\n",
"plt.show()"
],
"execution_count": 22,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 601
},
"id": "rNynKqdmiHPe",
"outputId": "e7887250-0834-463e-b256-dcc670f8a43a"
},
"source": [
"import matplotlib.pyplot as plt\n",
"from matplotlib import cm\n",
"from matplotlib.ticker import LinearLocator\n",
"import numpy as np\n",
"\n",
"fig, ax = plt.subplots(subplot_kw={\"projection\": \"3d\"})\n",
"\n",
"# Make data.\n",
"X = np.arange(-5, 5, 0.25)\n",
"Y = np.arange(-5, 5, 0.25)\n",
"X, Y = np.meshgrid(X, Y)\n",
"R = np.sqrt(X**2 + Y**2)\n",
"Z = np.sin(R)\n",
"\n",
"# Plot the surface.\n",
"surf = ax.plot_surface(X, Y, Z, cmap=cm.coolwarm,\n",
" linewidth=0, antialiased=False)\n",
"\n",
"# Customize the z axis.\n",
"ax.set_zlim(-1.01, 1.01)\n",
"ax.zaxis.set_major_locator(LinearLocator(10))\n",
"# A StrMethodFormatter is used automatically\n",
"ax.zaxis.set_major_formatter('{x:.02f}')\n",
"\n",
"# Add a color bar which maps values to colors.\n",
"fig.colorbar(surf, shrink=0.5, aspect=5)\n",
"\n",
"plt.show()"
],
"execution_count": 23,
"outputs": [
{
"output_type": "error",
"ename": "TypeError",
"evalue": "ignored",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-23-8715c31a173e>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 21\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzaxis\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mset_major_locator\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mLinearLocator\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 22\u001b[0m \u001b[0;31m# A StrMethodFormatter is used automatically\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 23\u001b[0;31m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzaxis\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mset_major_formatter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'{x:.02f}'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 24\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 25\u001b[0m \u001b[0;31m# Add a color bar which maps values to colors.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.7/dist-packages/matplotlib/axis.py\u001b[0m in \u001b[0;36mset_major_formatter\u001b[0;34m(self, formatter)\u001b[0m\n\u001b[1;32m 1626\u001b[0m \u001b[0mformatter\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0;31m \u001b[0m\u001b[0;31m`\u001b[0m\u001b[0;34m~\u001b[0m\u001b[0mmatplotlib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mticker\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mFormatter\u001b[0m\u001b[0;31m`\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1627\u001b[0m \"\"\"\n\u001b[0;32m-> 1628\u001b[0;31m \u001b[0mcbook\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_check_isinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmticker\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mFormatter\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mformatter\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mformatter\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1629\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0misDefault_majfmt\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1630\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmajor\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformatter\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mformatter\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.7/dist-packages/matplotlib/cbook/__init__.py\u001b[0m in \u001b[0;36m_check_isinstance\u001b[0;34m(_types, **kwargs)\u001b[0m\n\u001b[1;32m 2126\u001b[0m \u001b[0;34m\", \"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mjoin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnames\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;34m\" or \"\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0mnames\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2127\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnames\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m1\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0mnames\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2128\u001b[0;31m type_name(type(v))))\n\u001b[0m\u001b[1;32m 2129\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2130\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mTypeError\u001b[0m: 'formatter' must be an instance of matplotlib.ticker.Formatter, not a str"
]
},
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 657
},
"id": "PKZWcXJkiLPo",
"outputId": "38442c25-80bd-48f2-9188-9b03fcc543c7"
},
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.gridspec as gridspec\n",
"\n",
"w = 3\n",
"Y, X = np.mgrid[-w:w:100j, -w:w:100j]\n",
"U = -1 - X**2 + Y\n",
"V = 1 + X - Y**2\n",
"speed = np.sqrt(U**2 + V**2)\n",
"\n",
"fig = plt.figure(figsize=(7, 9))\n",
"gs = gridspec.GridSpec(nrows=3, ncols=2, height_ratios=[1, 1, 2])\n",
"\n",
"# Varying density along a streamline\n",
"ax0 = fig.add_subplot(gs[0, 0])\n",
"ax0.streamplot(X, Y, U, V, density=[0.5, 1])\n",
"ax0.set_title('Varying Density')\n",
"\n",
"# Varying color along a streamline\n",
"ax1 = fig.add_subplot(gs[0, 1])\n",
"strm = ax1.streamplot(X, Y, U, V, color=U, linewidth=2, cmap='autumn')\n",
"fig.colorbar(strm.lines)\n",
"ax1.set_title('Varying Color')\n",
"\n",
"# Varying line width along a streamline\n",
"ax2 = fig.add_subplot(gs[1, 0])\n",
"lw = 5*speed / speed.max()\n",
"ax2.streamplot(X, Y, U, V, density=0.6, color='k', linewidth=lw)\n",
"ax2.set_title('Varying Line Width')\n",
"\n",
"# Controlling the starting points of the streamlines\n",
"seed_points = np.array([[-2, -1, 0, 1, 2, -1], [-2, -1, 0, 1, 2, 2]])\n",
"\n",
"ax3 = fig.add_subplot(gs[1, 1])\n",
"strm = ax3.streamplot(X, Y, U, V, color=U, linewidth=2,\n",
" cmap='autumn', start_points=seed_points.T)\n",
"fig.colorbar(strm.lines)\n",
"ax3.set_title('Controlling Starting Points')\n",
"\n",
"# Displaying the starting points with blue symbols.\n",
"ax3.plot(seed_points[0], seed_points[1], 'bo')\n",
"ax3.set(xlim=(-w, w), ylim=(-w, w))\n",
"\n",
"# Create a mask\n",
"mask = np.zeros(U.shape, dtype=bool)\n",
"mask[40:60, 40:60] = True\n",
"U[:20, :20] = np.nan\n",
"U = np.ma.array(U, mask=mask)\n",
"\n",
"ax4 = fig.add_subplot(gs[2:, :])\n",
"ax4.streamplot(X, Y, U, V, color='r')\n",
"ax4.set_title('Streamplot with Masking')\n",
"\n",
"ax4.imshow(~mask, extent=(-w, w, -w, w), alpha=0.5, cmap='gray', aspect='auto')\n",
"ax4.set_aspect('equal')\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
],
"execution_count": 24,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x648 with 7 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 470
},
"id": "5XCHpKKNiRSH",
"outputId": "56fcab81-b513-4a87-e276-ab3d4477fcb9"
},
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib.ticker import MaxNLocator\n",
"from collections import namedtuple\n",
"\n",
"np.random.seed(42)\n",
"\n",
"Student = namedtuple('Student', ['name', 'grade', 'gender'])\n",
"Score = namedtuple('Score', ['score', 'percentile'])\n",
"\n",
"# GLOBAL CONSTANTS\n",
"test_names = ['Pacer Test', 'Flexed Arm\\n Hang', 'Mile Run', 'Agility',\n",
" 'Push Ups']\n",
"test_units = dict(zip(test_names, ['laps', 'sec', 'min:sec', 'sec', '']))\n",
"\n",
"\n",
"def attach_ordinal(num):\n",
" \"\"\"Convert an integer to an ordinal string, e.g. 2 -> '2nd'.\"\"\"\n",
" suffixes = {str(i): v\n",
" for i, v in enumerate(['th', 'st', 'nd', 'rd', 'th',\n",
" 'th', 'th', 'th', 'th', 'th'])}\n",
" v = str(num)\n",
" # special case early teens\n",
" if v in {'11', '12', '13'}:\n",
" return v + 'th'\n",
" return v + suffixes[v[-1]]\n",
"\n",
"\n",
"def format_score(score, test):\n",
" \"\"\"\n",
" Create score labels for the right y-axis as the test name followed by the\n",
" measurement unit (if any), split over two lines.\n",
" \"\"\"\n",
" unit = test_units[test]\n",
" if unit:\n",
" return f'{score}\\n{unit}'\n",
" else: # If no unit, don't include a newline, so that label stays centered.\n",
" return score\n",
"\n",
"\n",
"def format_ycursor(y):\n",
" y = int(y)\n",
" if y < 0 or y >= len(test_names):\n",
" return ''\n",
" else:\n",
" return test_names[y]\n",
"\n",
"\n",
"def plot_student_results(student, scores, cohort_size):\n",
" fig, ax1 = plt.subplots(figsize=(9, 7)) # Create the figure\n",
" fig.subplots_adjust(left=0.115, right=0.88)\n",
" fig.canvas.manager.set_window_title('Eldorado K-8 Fitness Chart')\n",
"\n",
" pos = np.arange(len(test_names))\n",
"\n",
" rects = ax1.barh(pos, [scores[k].percentile for k in test_names],\n",
" align='center',\n",
" height=0.5,\n",
" tick_label=test_names)\n",
"\n",
" ax1.set_title(student.name)\n",
"\n",
" ax1.set_xlim([0, 100])\n",
" ax1.xaxis.set_major_locator(MaxNLocator(11))\n",
" ax1.xaxis.grid(True, linestyle='--', which='major',\n",
" color='grey', alpha=.25)\n",
"\n",
" # Plot a solid vertical gridline to highlight the median position\n",
" ax1.axvline(50, color='grey', alpha=0.25)\n",
"\n",
" # Set the right-hand Y-axis ticks and labels\n",
" ax2 = ax1.twinx()\n",
"\n",
" # Set the tick locations\n",
" ax2.set_yticks(pos)\n",
" # Set equal limits on both yaxis so that the ticks line up\n",
" ax2.set_ylim(ax1.get_ylim())\n",
"\n",
" # Set the tick labels\n",
" ax2.set_yticklabels([format_score(scores[k].score, k) for k in test_names])\n",
"\n",
" ax2.set_ylabel('Test Scores')\n",
"\n",
" xlabel = ('Percentile Ranking Across {grade} Grade {gender}s\\n'\n",
" 'Cohort Size: {cohort_size}')\n",
" ax1.set_xlabel(xlabel.format(grade=attach_ordinal(student.grade),\n",
" gender=student.gender.title(),\n",
" cohort_size=cohort_size))\n",
"\n",
" rect_labels = []\n",
" # Lastly, write in the ranking inside each bar to aid in interpretation\n",
" for rect in rects:\n",
" # Rectangle widths are already integer-valued but are floating\n",
" # type, so it helps to remove the trailing decimal point and 0 by\n",
" # converting width to int type\n",
" width = int(rect.get_width())\n",
"\n",
" rank_str = attach_ordinal(width)\n",
" # The bars aren't wide enough to print the ranking inside\n",
" if width < 40:\n",
" # Shift the text to the right side of the right edge\n",
" xloc = 5\n",
" # Black against white background\n",
" clr = 'black'\n",
" align = 'left'\n",
" else:\n",
" # Shift the text to the left side of the right edge\n",
" xloc = -5\n",
" # White on magenta\n",
" clr = 'white'\n",
" align = 'right'\n",
"\n",
" # Center the text vertically in the bar\n",
" yloc = rect.get_y() + rect.get_height() / 2\n",
" label = ax1.annotate(\n",
" rank_str, xy=(width, yloc), xytext=(xloc, 0),\n",
" textcoords=\"offset points\",\n",
" horizontalalignment=align, verticalalignment='center',\n",
" color=clr, weight='bold', clip_on=True)\n",
" rect_labels.append(label)\n",
"\n",
" # Make the interactive mouse over give the bar title\n",
" ax2.fmt_ydata = format_ycursor\n",
" # Return all of the artists created\n",
" return {'fig': fig,\n",
" 'ax': ax1,\n",
" 'ax_right': ax2,\n",
" 'bars': rects,\n",
" 'perc_labels': rect_labels}\n",
"\n",
"\n",
"student = Student('Johnny Doe', 2, 'boy')\n",
"scores = dict(zip(\n",
" test_names,\n",
" (Score(v, p) for v, p in\n",
" zip(['7', '48', '12:52', '17', '14'],\n",
" np.round(np.random.uniform(0, 100, len(test_names)), 0)))))\n",
"cohort_size = 62 # The number of other 2nd grade boys\n",
"\n",
"arts = plot_student_results(student, scores, cohort_size)\n",
"plt.show()"
],
"execution_count": 25,
"outputs": [
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 648x504 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 248
},
"id": "7e3vG0TYiXRy",
"outputId": "93d73063-7ca0-40f1-cd0b-4bf73ce3dfbc"
},
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"# Pie chart, where the slices will be ordered and plotted counter-clockwise:\n",
"labels = 'Frogs', 'Hogs', 'Dogs', 'Logs'\n",
"sizes = [15, 30, 45, 10]\n",
"explode = (0, 0.1, 0, 0) # only \"explode\" the 2nd slice (i.e. 'Hogs')\n",
"\n",
"fig1, ax1 = plt.subplots()\n",
"ax1.pie(sizes, explode=explode, labels=labels, autopct='%1.1f%%',\n",
" shadow=True, startangle=90)\n",
"ax1.axis('equal') # Equal aspect ratio ensures that pie is drawn as a circle.\n",
"\n",
"plt.show()"
],
"execution_count": 26,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 297
},
"id": "3aiAfP8bijtg",
"outputId": "37faa2fa-a24e-4b57-c433-d9de05b9a50d"
},
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"\n",
"r = np.arange(0, 2, 0.01)\n",
"theta = 2 * np.pi * r\n",
"\n",
"fig, ax = plt.subplots(subplot_kw={'projection': 'polar'})\n",
"ax.plot(theta, r)\n",
"ax.set_rmax(2)\n",
"ax.set_rticks([0.5, 1, 1.5, 2]) # Less radial ticks\n",
"ax.set_rlabel_position(-22.5) # Move radial labels away from plotted line\n",
"ax.grid(True)\n",
"\n",
"ax.set_title(\"A line plot on a polar axis\", va='bottom')\n",
"plt.show()"
],
"execution_count": 27,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"id": "CSfNU1ahiqS6",
"outputId": "68e40eda-a736-42ce-f5cf-db7032102d5f"
},
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Make some fake data.\n",
"a = b = np.arange(0, 3, .02)\n",
"c = np.exp(a)\n",
"d = c[::-1]\n",
"\n",
"# Create plots with pre-defined labels.\n",
"fig, ax = plt.subplots()\n",
"ax.plot(a, c, 'k--', label='Model length')\n",
"ax.plot(a, d, 'k:', label='Data length')\n",
"ax.plot(a, c + d, 'k', label='Total message length')\n",
"\n",
"legend = ax.legend(loc='upper center', shadow=True, fontsize='x-large')\n",
"\n",
"# Put a nicer background color on the legend.\n",
"legend.get_frame().set_facecolor('C0')\n",
"\n",
"plt.show()"
],
"execution_count": 28,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 658
},
"id": "tS7Dpau3ivKP",
"outputId": "66c4cf94-90e0-4e33-b6e2-5f5b2823c9e3"
},
"source": [
"import matplotlib.pyplot as plt\n",
"import subprocess\n",
"import sys\n",
"import re\n",
"\n",
"# Selection of features following \"Writing mathematical expressions\" tutorial\n",
"mathtext_titles = {\n",
" 0: \"Header demo\",\n",
" 1: \"Subscripts and superscripts\",\n",
" 2: \"Fractions, binomials and stacked numbers\",\n",
" 3: \"Radicals\",\n",
" 4: \"Fonts\",\n",
" 5: \"Accents\",\n",
" 6: \"Greek, Hebrew\",\n",
" 7: \"Delimiters, functions and Symbols\"}\n",
"n_lines = len(mathtext_titles)\n",
"\n",
"# Randomly picked examples\n",
"mathext_demos = {\n",
" 0: r\"$W^{3\\beta}_{\\delta_1 \\rho_1 \\sigma_2} = \"\n",
" r\"U^{3\\beta}_{\\delta_1 \\rho_1} + \\frac{1}{8 \\pi 2} \"\n",
" r\"\\int^{\\alpha_2}_{\\alpha_2} d \\alpha^\\prime_2 \\left[\\frac{ \"\n",
" r\"U^{2\\beta}_{\\delta_1 \\rho_1} - \\alpha^\\prime_2U^{1\\beta}_\"\n",
" r\"{\\rho_1 \\sigma_2} }{U^{0\\beta}_{\\rho_1 \\sigma_2}}\\right]$\",\n",
"\n",
" 1: r\"$\\alpha_i > \\beta_i,\\ \"\n",
" r\"\\alpha_{i+1}^j = {\\rm sin}(2\\pi f_j t_i) e^{-5 t_i/\\tau},\\ \"\n",
" r\"\\ldots$\",\n",
"\n",
" 2: r\"$\\frac{3}{4},\\ \\binom{3}{4},\\ \\genfrac{}{}{0}{}{3}{4},\\ \"\n",
" r\"\\left(\\frac{5 - \\frac{1}{x}}{4}\\right),\\ \\ldots$\",\n",
"\n",
" 3: r\"$\\sqrt{2},\\ \\sqrt[3]{x},\\ \\ldots$\",\n",
"\n",
" 4: r\"$\\mathrm{Roman}\\ , \\ \\mathit{Italic}\\ , \\ \\mathtt{Typewriter} \\ \"\n",
" r\"\\mathrm{or}\\ \\mathcal{CALLIGRAPHY}$\",\n",
"\n",
" 5: r\"$\\acute a,\\ \\bar a,\\ \\breve a,\\ \\dot a,\\ \\ddot a, \\ \\grave a, \\ \"\n",
" r\"\\hat a,\\ \\tilde a,\\ \\vec a,\\ \\widehat{xyz},\\ \\widetilde{xyz},\\ \"\n",
" r\"\\ldots$\",\n",
"\n",
" 6: r\"$\\alpha,\\ \\beta,\\ \\chi,\\ \\delta,\\ \\lambda,\\ \\mu,\\ \"\n",
" r\"\\Delta,\\ \\Gamma,\\ \\Omega,\\ \\Phi,\\ \\Pi,\\ \\Upsilon,\\ \\nabla,\\ \"\n",
" r\"\\aleph,\\ \\beth,\\ \\daleth,\\ \\gimel,\\ \\ldots$\",\n",
"\n",
" 7: r\"$\\coprod,\\ \\int,\\ \\oint,\\ \\prod,\\ \\sum,\\ \"\n",
" r\"\\log,\\ \\sin,\\ \\approx,\\ \\oplus,\\ \\star,\\ \\varpropto,\\ \"\n",
" r\"\\infty,\\ \\partial,\\ \\Re,\\ \\leftrightsquigarrow, \\ \\ldots$\"}\n",
"\n",
"\n",
"def doall():\n",
" # Colors used in Matplotlib online documentation.\n",
" mpl_blue_rvb = (191. / 255., 209. / 256., 212. / 255.)\n",
" mpl_orange_rvb = (202. / 255., 121. / 256., 0. / 255.)\n",
" mpl_grey_rvb = (51. / 255., 51. / 255., 51. / 255.)\n",
"\n",
" # Creating figure and axis.\n",
" plt.figure(figsize=(6, 7))\n",
" plt.axes([0.01, 0.01, 0.98, 0.90], facecolor=\"white\", frameon=True)\n",
" plt.gca().set_xlim(0., 1.)\n",
" plt.gca().set_ylim(0., 1.)\n",
" plt.gca().set_title(\"Matplotlib's math rendering engine\",\n",
" color=mpl_grey_rvb, fontsize=14, weight='bold')\n",
" plt.gca().set_xticklabels(\"\", visible=False)\n",
" plt.gca().set_yticklabels(\"\", visible=False)\n",
"\n",
" # Gap between lines in axes coords\n",
" line_axesfrac = 1 / n_lines\n",
"\n",
" # Plotting header demonstration formula\n",
" full_demo = mathext_demos[0]\n",
" plt.annotate(full_demo,\n",
" xy=(0.5, 1. - 0.59 * line_axesfrac),\n",
" color=mpl_orange_rvb, ha='center', fontsize=20)\n",
"\n",
" # Plotting features demonstration formulae\n",
" for i_line in range(1, n_lines):\n",
" baseline = 1 - i_line * line_axesfrac\n",
" baseline_next = baseline - line_axesfrac\n",
" title = mathtext_titles[i_line] + \":\"\n",
" fill_color = ['white', mpl_blue_rvb][i_line % 2]\n",
" plt.fill_between([0., 1.], [baseline, baseline],\n",
" [baseline_next, baseline_next],\n",
" color=fill_color, alpha=0.5)\n",
" plt.annotate(title,\n",
" xy=(0.07, baseline - 0.3 * line_axesfrac),\n",
" color=mpl_grey_rvb, weight='bold')\n",
" demo = mathext_demos[i_line]\n",
" plt.annotate(demo,\n",
" xy=(0.05, baseline - 0.75 * line_axesfrac),\n",
" color=mpl_grey_rvb, fontsize=16)\n",
"\n",
" for i in range(n_lines):\n",
" s = mathext_demos[i]\n",
" print(i, s)\n",
" plt.show()\n",
"\n",
"\n",
"if '--latex' in sys.argv:\n",
" # Run: python mathtext_examples.py --latex\n",
" # Need amsmath and amssymb packages.\n",
" fd = open(\"mathtext_examples.ltx\", \"w\")\n",
" fd.write(\"\\\\documentclass{article}\\n\")\n",
" fd.write(\"\\\\usepackage{amsmath, amssymb}\\n\")\n",
" fd.write(\"\\\\begin{document}\\n\")\n",
" fd.write(\"\\\\begin{enumerate}\\n\")\n",
"\n",
" for i in range(n_lines):\n",
" s = mathext_demos[i]\n",
" s = re.sub(r\"(?<!\\\\)\\$\", \"$$\", s)\n",
" fd.write(\"\\\\item %s\\n\" % s)\n",
"\n",
" fd.write(\"\\\\end{enumerate}\\n\")\n",
" fd.write(\"\\\\end{document}\\n\")\n",
" fd.close()\n",
"\n",
" subprocess.call([\"pdflatex\", \"mathtext_examples.ltx\"])\n",
"else:\n",
" doall()"
],
"execution_count": 29,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"0 $W^{3\\beta}_{\\delta_1 \\rho_1 \\sigma_2} = U^{3\\beta}_{\\delta_1 \\rho_1} + \\frac{1}{8 \\pi 2} \\int^{\\alpha_2}_{\\alpha_2} d \\alpha^\\prime_2 \\left[\\frac{ U^{2\\beta}_{\\delta_1 \\rho_1} - \\alpha^\\prime_2U^{1\\beta}_{\\rho_1 \\sigma_2} }{U^{0\\beta}_{\\rho_1 \\sigma_2}}\\right]$\n",
"1 $\\alpha_i > \\beta_i,\\ \\alpha_{i+1}^j = {\\rm sin}(2\\pi f_j t_i) e^{-5 t_i/\\tau},\\ \\ldots$\n",
"2 $\\frac{3}{4},\\ \\binom{3}{4},\\ \\genfrac{}{}{0}{}{3}{4},\\ \\left(\\frac{5 - \\frac{1}{x}}{4}\\right),\\ \\ldots$\n",
"3 $\\sqrt{2},\\ \\sqrt[3]{x},\\ \\ldots$\n",
"4 $\\mathrm{Roman}\\ , \\ \\mathit{Italic}\\ , \\ \\mathtt{Typewriter} \\ \\mathrm{or}\\ \\mathcal{CALLIGRAPHY}$\n",
"5 $\\acute a,\\ \\bar a,\\ \\breve a,\\ \\dot a,\\ \\ddot a, \\ \\grave a, \\ \\hat a,\\ \\tilde a,\\ \\vec a,\\ \\widehat{xyz},\\ \\widetilde{xyz},\\ \\ldots$\n",
"6 $\\alpha,\\ \\beta,\\ \\chi,\\ \\delta,\\ \\lambda,\\ \\mu,\\ \\Delta,\\ \\Gamma,\\ \\Omega,\\ \\Phi,\\ \\Pi,\\ \\Upsilon,\\ \\nabla,\\ \\aleph,\\ \\beth,\\ \\daleth,\\ \\gimel,\\ \\ldots$\n",
"7 $\\coprod,\\ \\int,\\ \\oint,\\ \\prod,\\ \\sum,\\ \\log,\\ \\sin,\\ \\approx,\\ \\oplus,\\ \\star,\\ \\varpropto,\\ \\infty,\\ \\partial,\\ \\Re,\\ \\leftrightsquigarrow, \\ \\ldots$\n"
]
},
{
"output_type": "display_data",
"data": {
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