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@naviarh
Created July 23, 2018 12:32
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MatPlotLib.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "MatPlotLib.ipynb",
"version": "0.3.2",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"[View in Colaboratory](https://colab.research.google.com/gist/naviarh/d69a1ce2b8cdc029d1d668633529e7a5/matplotlib.ipynb)"
]
},
{
"metadata": {
"id": "-dF2otI7HLzA",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"#!/usr/bin/env python3\n",
"# -*- coding: utf-8 -*-"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "z9_fC880HLzS",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "1119382e-67dd-4021-e5b3-ccff66d4169a"
},
"cell_type": "code",
"source": [
"# Put these at the top of every notebook, to get automatic reloading and inline plotting\n",
"%reload_ext autoreload\n",
"%autoreload 2\n",
"%matplotlib inline\n",
"!pwd"
],
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": [
"/content\r\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "oLSo87BrHLz0",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "804d407b-23a7-45c4-81d2-bbb6a143f476"
},
"cell_type": "code",
"source": [
"import subprocess, os\n",
"os.name"
],
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"'posix'"
]
},
"metadata": {
"tags": []
},
"execution_count": 3
}
]
},
{
"metadata": {
"id": "BoFdO3HIHL0F",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "2c87c92f-be7b-4a89-9de7-424c7ee3c363"
},
"cell_type": "code",
"source": [
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"f'Version matplotlib: {mpl.__version__}'"
],
"execution_count": 4,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"'Version matplotlib: 2.1.2'"
]
},
"metadata": {
"tags": []
},
"execution_count": 4
}
]
},
{
"metadata": {
"id": "bANDBEDMHL0e",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "be45e34b-2983-4bcc-eb74-ca9dd8738703"
},
"cell_type": "code",
"source": [
"import numpy as np\n",
"f'Version numpy: {np.__version__}'"
],
"execution_count": 5,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"'Version numpy: 1.14.5'"
]
},
"metadata": {
"tags": []
},
"execution_count": 5
}
]
},
{
"metadata": {
"id": "eXAOAxMiHL0w",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"# MATPLOTLIB"
]
},
{
"metadata": {
"id": "CGsB3zFLHL00",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Точка"
]
},
{
"metadata": {
"id": "3vSKHuHUHL08",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 316
},
"outputId": "f5b8dd8a-d4ca-4dfd-b18c-b75db553724d"
},
"cell_type": "code",
"source": [
"fig = plt.figure() # Создание объекта Figure\n",
"\n",
"print (fig.axes) # Список текущих областей рисования пуст\n",
"print (type(fig)) # тип объекта Figure\n",
"\n",
"plt.scatter(1., 1.) # scatter - метод для нанесения маркера в точке (1.0, 1.0)\n",
"plt.scatter(1., 1.2, c='green') # цвет (по умолчанию синий)\n",
"plt.scatter(1.1, 1.1, c='r', marker='x') #('o', 'v', '^', '<', '>', '8', 's', 'p', '*', 'h', 'H', 'D', 'd', 'P', 'X')\n",
"plt.scatter(.9, 1.1, c='#000000', alpha='0.7') # прозрачность\n",
"plt.scatter(1., 1.1, c=(1.,.5,.5,.7), linewidth=0.1) # размер\n",
"\n",
"# После нанесения графического элемента в виде маркера\n",
"# список текущих областей состоит из одной области\n",
"print (fig.axes)\n",
"\n",
"plt.show()"
],
"execution_count": 6,
"outputs": [
{
"output_type": "stream",
"text": [
"[]\n",
"<class 'matplotlib.figure.Figure'>\n",
"[<matplotlib.axes._subplots.AxesSubplot object at 0x7f3cf4810550>]\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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XoW+Ry1915MhYxycfGRlmdPRYx8fptirmqmImqE6uyfFJzh4e5KWjry/49cNDTJ4ar0TO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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf4810470>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "Oevk3ZyKHL1G",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Прямоугольные и круговые координаты"
]
},
{
"metadata": {
"id": "7xMjIJ2nHL1H",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 693
},
"outputId": "ba99849b-28cf-449f-a231-075b44a0be3d"
},
"cell_type": "code",
"source": [
"fig = plt.figure()\n",
"# Добавление на рисунок прямоугольной (по умолчанию) области рисования\n",
"ax = fig.add_axes([0, 0, 1, 1])\n",
"print (type(ax))\n",
"plt.scatter(1., 1.)\n",
"\n",
"fig = plt.figure()\n",
"# Добавление на рисунок круговой области рисования\n",
"ax = fig.add_axes([0, 0, 1, 1], polar=True)\n",
"plt.scatter(1., .1)\n",
"\n",
"plt.show()"
],
"execution_count": 7,
"outputs": [
{
"output_type": "stream",
"text": [
"<class 'matplotlib.axes._axes.Axes'>\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf40a5e80>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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72s/wa7/2/AOff+lLb+Ye9/jsY7/n5pufbwBPlvwQTs0qieyTZCzqOCZlWSq7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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf1fd0438>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "ad_2ntnIHL1g",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Сохранение рисунков"
]
},
{
"metadata": {
"id": "zrDGVbNDHL1y",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 85
},
"outputId": "a47440e1-9f95-4a61-a1e6-a28ee92d8939"
},
"cell_type": "code",
"source": [
"# supported formats: eps, jpeg, jpg, pdf, pgf, png, ps, raw, rgba, svg, svgz, tif, tiff\n",
"plt.savefig('example_1.pdf', fmt='pdf')\n",
"plt.savefig('example_2.png', fmt='png')\n",
"plt.savefig('example_3.svg', fmt='svg')\n",
"!ls | grep example"
],
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"text": [
"example_1.pdf\r\n",
"example_2.png\r\n",
"example_3.svg\r\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf46e9c18>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "FhdASJsRHL1-",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Текст"
]
},
{
"metadata": {
"id": "tp_8CzcIHL2B",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 298
},
"outputId": "92a362da-d19e-4910-ed1f-7d56614c2bbf"
},
"cell_type": "code",
"source": [
"plt.title('Название рисунка', weight='bold', fontsize=16, backgroundcolor='#00000020', alpha=.75)\n",
"plt.xlabel('ось абцисс', color='blue')\n",
"plt.ylabel('ось ординат', color='green')\n",
"\n",
"plt.text(.0, .9, 'Text1', color='red', fontsize=18)\n",
"\n",
"plt.text(.5, .5, 'Text2', \n",
" fontsize=32,\n",
" color='#0000f090',\n",
" bbox=dict(facecolor='#f000f0', alpha=0.3))\n",
"\n",
"plt.text(.2, .1, 'Text2', \n",
" rotation=45, style='italic',\n",
" fontsize=24, family='serif', \n",
" horizontalalignment='center', \n",
" verticalalignment='bottom', \n",
" color=(.5,.1,.7),\n",
" bbox=dict(facecolor=(.3,.0,.1,.3)))\n",
"\n",
"plt.legend('qwe')\n",
"\n",
"plt.show()"
],
"execution_count": 9,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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WLgw6ciG4n8KWPcP/yfm+5XdPwX3PwQ2/ibNp9+HbDcaDawxS/RdvPSu9rrrM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\nLAoHERHJonAQEZEsCgcREcny/wNR19IBAztUQQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf1f897f0>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "iDoSNuL6HL2K",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Картинка"
]
},
{
"metadata": {
"id": "Q9UgUC2FHL2K",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 391
},
"outputId": "b174895f-833d-429f-840a-f2b8e0d18ccd"
},
"cell_type": "code",
"source": [
"!wget https://www.google.ru/images/branding/googlelogo/2x/googlelogo_color_120x44dp.png\n",
"!wget https://ssl.gstatic.com/ui/v1/icons/mail/rfr/logo_gmail_lockup_default_2x.png"
],
"execution_count": 10,
"outputs": [
{
"output_type": "stream",
"text": [
"--2018-07-23 12:29:21-- https://www.google.ru/images/branding/googlelogo/2x/googlelogo_color_120x44dp.png\n",
"Resolving www.google.ru (www.google.ru)... 74.125.197.94, 2607:f8b0:400e:c03::5e\n",
"Connecting to www.google.ru (www.google.ru)|74.125.197.94|:443... connected.\n",
"HTTP request sent, awaiting response... 200 OK\n",
"Length: 5087 (5.0K) [image/png]\n",
"Saving to: ‘googlelogo_color_120x44dp.png’\n",
"\n",
"googlelogo_color_12 100%[===================>] 4.97K --.-KB/s in 0s \n",
"\n",
"2018-07-23 12:29:21 (55.0 MB/s) - ‘googlelogo_color_120x44dp.png’ saved [5087/5087]\n",
"\n",
"--2018-07-23 12:29:22-- https://ssl.gstatic.com/ui/v1/icons/mail/rfr/logo_gmail_lockup_default_2x.png\n",
"Resolving ssl.gstatic.com (ssl.gstatic.com)... 74.125.195.94, 2607:f8b0:400e:c03::5e\n",
"Connecting to ssl.gstatic.com (ssl.gstatic.com)|74.125.195.94|:443... connected.\n",
"HTTP request sent, awaiting response... 200 OK\n",
"Length: 5309 (5.2K) [image/png]\n",
"Saving to: ‘logo_gmail_lockup_default_2x.png’\n",
"\n",
"logo_gmail_lockup_d 100%[===================>] 5.18K --.-KB/s in 0s \n",
"\n",
"2018-07-23 12:29:22 (47.6 MB/s) - ‘logo_gmail_lockup_default_2x.png’ saved [5309/5309]\n",
"\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "69PVN1_0HL2Q",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"img1 = plt.imread('googlelogo_color_120x44dp.png')\n",
"img2 = plt.imread('logo_gmail_lockup_default_2x.png')"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "IsNcUqXSHL2V",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 174
},
"outputId": "0017cfbc-6319-4c6e-e9cb-b6360c50bbc6"
},
"cell_type": "code",
"source": [
"plt.axis('off')\n",
"plt.imshow(img1)\n",
"plt.show()"
],
"execution_count": 12,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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OIcgPAVCOrXF3yuWn+ZHs30Jl1uVu6pj3VVUp6o3P6rJ/nNW94eJSa8n2NHwV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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf1f69ba8>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "Pdj8tFHLHL2d",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 174
},
"outputId": "3ab7f56f-2142-4fb5-c71d-b2e2af32cc81"
},
"cell_type": "code",
"source": [
"plt.axis('off')\n",
"plt.imshow(img1, alpha=.5)\n",
"plt.show()"
],
"execution_count": 13,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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k8FRr79MPlXpeHd4QOeecq5vg3beueWThBU33LLyg6R6M/kCoj1uGYzCzHWa2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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf1cbb668>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "EvPXQPYxHL2f",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"outputId": "ad808deb-43c8-4ade-8a96-d1350c5eb6e5"
},
"cell_type": "code",
"source": [
"plt.imshow(img2, aspect='auto', origin='lower')\n",
"plt.show()"
],
"execution_count": 14,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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OnUD80PdIJILxhtmqGv78agaHe/sToEe5Y1j7xVdQO/d4IH4O7dL//CkArc+s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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf1f3bcc0>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "pIcxOzWpHL2j",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 108
},
"outputId": "bc3ce2c3-8488-4994-ded4-74ae97941eed"
},
"cell_type": "code",
"source": [
"plt.imshow(img2, extent=(0,600,0,100))\n",
"plt.show()"
],
"execution_count": 15,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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HLkCFApYBHwHfkFJ2CSHOAb6PClH9vZTyr4PR5t4ghLgC5Uvc7Cq+BCUiBd0/\ny2K6HzWJG0K5CtYBD1HgfUtECHEjsBV4niLpnxCiCvgbMAIoRX1/b1Ak/QMQQlyJcqsC3IoKl+5z\n/3QaBo1GoxlC5MtErkaj0WgGAC36Go1GM4TQoq/RaDRDCC36Go1GM4TQoq/RaDRDCC36Go1GM4TQ\noq/RaDRDCC36Go1GM4T4/wSMHhwElRxCAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf1bd9550>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "fCZSWTv0HL2p",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Несколько областей"
]
},
{
"metadata": {
"id": "-e6E6QOIHL2q",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 340
},
"outputId": "2a7c60ed-2ef3-4b99-9e6c-f5a4028ab3a6"
},
"cell_type": "code",
"source": [
"fig = plt.figure(figsize=(3,1))\n",
"fig.add_axes([1, 1, 3, 3]) # bottom\n",
"fig.add_axes([2, 2, 3, 3]) # top\n",
"plt.show()"
],
"execution_count": 16,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf1cb6668>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "2VyUxn35HL20",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 378
},
"outputId": "542f4160-eef4-4ad9-fecb-34f119973af2"
},
"cell_type": "code",
"source": [
"fig = plt.figure(figsize=(12,6))\n",
"fig.add_subplot(221) #top left\n",
"fig.add_subplot(222) #top right\n",
"fig.add_subplot(223) #bottom left\n",
"fig.add_subplot(224) #bottom right \n",
"plt.show()"
],
"execution_count": 17,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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ut9ln+1ySW1prL+3335LkJ9te4Tbao/MrGd7MTsztIcxtM3vgMzuZfoYt9Ap5Q7uE6dX6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\nJxwDAED3/wGLiXAcDnrGCwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf1c4b518>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "VfrTmESQHL29",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 192
},
"outputId": "0ccb5328-55b5-453e-cbac-3a48879e0da7"
},
"cell_type": "code",
"source": [
"fig = plt.figure(figsize=(12,6))\n",
"sp = fig.add_subplot(1, 2, 1)\n",
"sp.axis('Off')\n",
"sp.set_title('Image 1')\n",
"plt.imshow(img1)\n",
"sp = fig.add_subplot(1, 2, 2)\n",
"sp.axis('Off')\n",
"sp.set_title('Image 2')\n",
"plt.imshow(img2)\n",
"print('Images:')"
],
"execution_count": 18,
"outputs": [
{
"output_type": "stream",
"text": [
"Images:\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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+O6DBsX0Ks73TA9ASP9562FHYMz9PeJBfdC4UClFY6IexRCIRwuEw4bhvsoZC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\ngi8AAACC8D+FWTU/agS5WgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf1aef6d8>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "r2H40nGOHL3E",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Тепловая карта"
]
},
{
"metadata": {
"id": "d01HMj5AHL3F",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 250
},
"outputId": "8ab55f50-a4c9-44dd-a326-968a1c24756a"
},
"cell_type": "code",
"source": [
"data = np.random.rand(30,30)\n",
"\n",
"fig = plt.figure(figsize=(12,8))\n",
"\n",
"fig.add_subplot(2, 3, 1)\n",
"plt.pcolormesh(data, cmap='Accent')\n",
"\n",
"fig.add_subplot(2, 3, 3)\n",
"plt.pcolor(data, cmap='binary')\n",
"# cmap -> Possible values are: Accent, Accent_r, Blues, Blues_r, BrBG, BrBG_r, BuGn, BuGn_r, BuPu, BuPu_r, CMRmap, CMRmap_r, Dark2, Dark2_r, GnBu, GnBu_r, Greens, Greens_r, Greys, Greys_r, OrRd, OrRd_r, Oranges, Oranges_r, PRGn, PRGn_r, Paired, Paired_r, Pastel1, Pastel1_r, Pastel2, Pastel2_r, PiYG, PiYG_r, PuBu, PuBuGn, PuBuGn_r, PuBu_r, PuOr, PuOr_r, PuRd, PuRd_r, Purples, Purples_r, RdBu, RdBu_r, RdGy, RdGy_r, RdPu, RdPu_r, RdYlBu, RdYlBu_r, RdYlGn, RdYlGn_r, Reds, Reds_r, Set1, Set1_r, Set2, Set2_r, Set3, Set3_r, Spectral, Spectral_r, Wistia, Wistia_r, YlGn, YlGnBu, YlGnBu_r, YlGn_r, YlOrBr, YlOrBr_r, YlOrRd, YlOrRd_r, afmhot, afmhot_r, autumn, autumn_r, binary, binary_r, bone, bone_r, brg, brg_r, bwr, bwr_r, cividis, cividis_r, cool, cool_r, coolwarm, coolwarm_r, copper, copper_r, cubehelix, cubehelix_r, flag, flag_r, gist_earth, gist_earth_r, gist_gray, gist_gray_r, gist_heat, gist_heat_r, gist_ncar, gist_ncar_r, gist_rainbow, gist_rainbow_r, gist_stern, gist_stern_r, gist_yarg, gist_yarg_r, gnuplot, gnuplot2, gnuplot2_r, gnuplot_r, gray, gray_r, hot, hot_r, hsv, hsv_r, inferno, inferno_r, jet, jet_r, magma, magma_r, nipy_spectral, nipy_spectral_r, ocean, ocean_r, pink, pink_r, plasma, plasma_r, prism, prism_r, rainbow, rainbow_r, seismic, seismic_r, spring, spring_r, summer, summer_r, tab10, tab10_r, tab20, tab20_r, tab20b, tab20b_r, tab20c, tab20c_r, terrain, terrain_r, viridis, viridis_r, winter, winter_r\n",
"plt.show()"
],
"execution_count": 21,
"outputs": [
{
"output_type": "display_data",
"data": {
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AQGyxGQYAAEBssRkGAABAbKUUFxdX+EGyV2S7B0nd1LXcjpPbwI9W8yyaYsdi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\nYjMMAACA2GIzDAAAgNhiMwwAAIDY+r9v0CI2ejNtTwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf18a79e8>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "neqY6_JAHL3I",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Графики"
]
},
{
"metadata": {
"id": "i3VkWLhEHL3J",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"outputId": "eee253ae-4c26-44e5-bfcd-27bfe439970d"
},
"cell_type": "code",
"source": [
"x = np.arange(0, 10, 1) # (начало, конец, шаг)\n",
"y = np.exp(x) # функция\n",
"plt.plot(x, y)\n",
"plt.show()"
],
"execution_count": 22,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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ysogql1KjoBfJoyAIGBxO0Tc4Qv/gKH0DI/QNjtI/NP74cHjGfrizn+zLo2WJ\nBM1LqlmTNZa+elkti2srIzseiQcFvcgkQRAwPJrOBPXgCH0DYWiP/Tw4Sn/4/YRAHxwlncMaD9WV\nSd6+un480M+oZeXSGipOY61kkenMSdCb2d8A7yaz8tQfuvvzc/G6En/pICCVChhNpcOv8cepVMBI\n1vf2jj4OvtlD71g4D47QNxCGdnjGPRboo6n0zC8eKi9LUFNVQV11Bc2N1VQvTFKzMEnNworwcQU1\nVUmqF1ZQszBJY91CGhdVkkjoAqnMjYIHvZm9Bzjb3S80s3OB+4ALC/26UQqCYPxP8gACAsZO8jLf\ng+OPgym2yd4uOP4483uP731834nbTNgugHR5OUeODhCkA9JB5jXGvgdBVls6+7mA9DTPT2jLehwE\nAen0xOfHfk86HTCaDkN4NM1oOjuEs8N5psA+cdvJ94bPViLB8WBuXFR5YkhXZkK6pqrihBBfUFGm\n0JaiNhdn9JcA3wNw95fMrMHMFrn7sXy/0Fcf+QWte7qOh1+2iX9NB9O0T739hN829UMpgGR5gvLy\nMirKyygvT5AsK2NhZTnJ8HEyOfa9jGRZgmT5+OMJ+5WXkSxP0FBfTZBKUZsd4gszZ9oLK8spU1hL\nTM1F0DcDP8v6uSNsmzboGxqqSc5irPLMVfX0DY0e/3ny/7cJEtk/TPVw2jOz7OactiExaZ/w9TP/\njP+OST8f3y7r9yUSE58/fixZ+yayDuT4aycyF/jKEpmfy8qmepwIH2faEuHz5YkEibJw28T02073\nOJFIhL8js38ymQneyd8rkmXHA/r44zCYdZZceE1NdVGXUDTi3BdRXIyd8f/erq7+Wf3iK9+9hq1X\nbdSn/bIU/6LHAaRSpFIpUkOFfaXi74u5pf4YF5e+mO7Nai5uxD1A5gx+zArg4By8roiIMDdBvwP4\nbQAz++/AAXcv/bdOEZESUfCgd/dngJ+Z2TPAV4HPFPo1RURk3JyM0bv7rXPxOiIiciJNliEiEnMK\nehGRmFPQi4jEnIJeRCTmEsF0cwCIiEgs6IxeRCTmFPQiIjGnoBcRiTkFvYhIzCnoRURiTkEvIhJz\nCnoRkZiLYuGRgtAC5BOZ2V8CF5P5d3ynu38n4pIiZ2ZVwIvAl9z9/ojLiZSZXQ/8MTAK3ObuP4i4\npEiYWS3wINAAVAK3u/v2aKvKv1ic0WcvQA58nMx0yPOWmb0XOC/sjw8AX4m4pGLxZ0Bn1EVEzcyW\nAF8ANgFXAldHW1GkPga4u7+XzLoZfxttOYURi6Bn0gLkQIOZLYq2pEg9CVwbPj4K1JjZqS/CGyNm\ndg6wAZiXZ66TbAF2unuPux+8f2tfAAABjUlEQVR0909GXVCEjgBLwscN4c+xE5egbyaz6PiYsQXI\n5yV3T7l7X/jjx4EfunsqypqKwJeB/xF1EUViHVBtZo+Z2S4zuyTqgqLi7v8ErDGz3WROkD4XcUkF\nEZegn2zGBcjnAzO7mkzQ/37UtUTJzD4K/Lu7t0VdS5FIkDmL/S0yQxffNLN5+f+MmX0E2OvubwPe\nB/xdxCUVRFyCXguQT2JmlwF/Clzu7t1R1xOxK4CrzexZ4BPA/zKzLRHXFKU3gWfcfdTdXwN6gKaI\na4rKRcB2AHd/AVgRx2HOuNx1swO4HbhbC5CDmS0G/grY4u7z/uKju3947LGZ/TnQ7u47o6socjuA\n+83sf5MZl64lpmPTOdgNXAD8i5mtBXrjOMwZi6B392fMbGwB8jRagPzDwFLgn81srO2j7r43upKk\nWLj7fjN7BHg2bPoDd09HWVOE7gbuM7OfkMnDmyOupyA0H72ISMzFZYxeRESmoaAXEYk5Bb2ISMwp\n6EVEYk5BLyIScwp6EZGYU9CLiMTc/wcxaubZwzsJFAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf1b02080>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "gamIg20YHL3P",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 320
},
"outputId": "fffa8e32-bcf9-40b2-a627-b79e90eb90ba"
},
"cell_type": "code",
"source": [
"x = np.arange(-1, 11, 0.2)\n",
"y = np.sin(x)\n",
"fig = plt.figure(figsize=(12,5))\n",
"plt.plot(x-4, y, '^') # треугольники\n",
"plt.plot(x-3, y, 'ys') # треугольники\n",
"plt.plot(x-2, y, 'g--') # зелёный, пунктирно\n",
"plt.plot(x-1, y, 'ro') # красный, кружочками\n",
"plt.plot(x, y, color='orange', marker='o', linestyle='dashed', linewidth=0.5, markersize=4)\n",
"plt.show()"
],
"execution_count": 23,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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RzBvzh/0Ii9HCS9ufx+l2BhyjqWwj1sN/xmg7GvCxdEuSsHe/Ady1WkcSlYJd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\nN4Z0MQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf161c208>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "e1aQ-IbyHL3U",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"outputId": "9a2444be-83d8-4746-ec2c-cf6079f7e5fd"
},
"cell_type": "code",
"source": [
"t = np.arange(0, 10, 0.1)\n",
"a = np.sin(t)\n",
"b = np.cos(t)\n",
"c = a + b\n",
"plt.plot(t, a, t, b, t, c)\n",
"plt.show()"
],
"execution_count": 24,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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JreJHyRj5mSLEmWLIsWnIIYvipJU8lbeXFmcbJ5rOcqm9nB9U/ZCChGW8LD5PfFScUmZ8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\nc7K4hq1HykgeFsG3lwV+QZbSe4tGzWNiXBaFdUVsvLC5168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J6x7x23EUpa/Mc3Ix3TGT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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf1b12be0>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "Dx_AOWyqHL3X",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Частотный спектр"
]
},
{
"metadata": {
"id": "R7bVpJKYHL3Z",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"outputId": "a162d1f3-8eaa-42d5-82e3-20a43fc89ca6"
},
"cell_type": "code",
"source": [
"from numpy.fft import rfft, rfftfreq\n",
"\n",
"O = 0 # смещение графика\n",
"L = 10 # ширина графика (количество циклов по ширине)\n",
"D = 10000 # дискретизация (плотность (количество выборок за один период))\n",
"A = 10 # амплитуда\n",
"F = 500 # частота\n",
"W = 0 # фаза\n",
"f = 2*np.pi*F # круговая частота\n",
"x = np.arange(O, L/F, 1/(D*F)) # входное множество\n",
"y = np.sin(x*f+W)*A/2 # вычисленное по функции множество (sin)\n",
"s = rfft(y)\n",
"\n",
"fig = plt.figure(figsize=(12,4))\n",
"fig.add_subplot(1,2,1)\n",
"plt.plot(x,y)\n",
"fig.add_subplot(1,2,2)\n",
"plt.plot(rfftfreq(x.shape[0],1/(D*F))[:100], np.abs(s)[:100])\n",
"plt.show()"
],
"execution_count": 25,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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LfeBPCNEsalhEJ4KT7nmxtluQvf4gpD+MztiCZHxHp/5zN2cJ0SyCmEUUfXLSSVJDdlrj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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3cf16c4cc0>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "Fq5FK_KNHtk9",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
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