{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# matplotlib и другие графические библиотеки\n", "\n", "## matplotlib\n", "\n", "Библиотека [matplotlib](https://matplotlib.org/) --- основная библиотека для визуализации данных и построения графиков в python. \n", "\n", "Как и `NumPy`, `matplotlib` входит в дистрибутив `Anaconda`, но требует дополнительной установки в общем случае.\n", "\n", "```sh\n", "pip install matplotlib\n", "```\n", "\n", "Построение графиков в `matplotlib` осуществляется довольно просто: чтобы построить самый простой график, достаточно нескольких строк кода. \n", "\n", "(first-graph)=" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "import numpy as np\n", "\n", "# Генерация данных\n", "x = np.linspace(0, 2 * np.pi, 100)\n", "y1 = np.sin(x)\n", "y2 = np.cos(x)\n", "\n", "# Построение графика\n", "plt.plot(x, y1, x, y2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Обычно из `matplotlib` импортируют подмодуль `pyplot`, который предназначен для построения `2D` графиков. Как и в случае с `NumPy`, есть общепринятое сокращение для `pyplot` --- `plt`. Т.е. если `matplotlib` импортируют для построения графиков в двух осях, то обычно это делается так\n", "```python\n", "from matplotlib import pyplot as plt\n", "```\n", "или так\n", "```python\n", "import matplotlib.pyplot as plt\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figure и axes\n", "\n", "\n", "Построение графиков в `matplotlib` осуществляется внутри объектов `figure`. `matplotlib` очень гибкий инструмент и эта `figure` в стандартном случае создаёт окно с графическим интерфейсом, но может быть встроена в `jupyter notebook` или в пользовательские приложения с графическим интерфейсом без больших усилий.\n", "\n", "Сами графики строятся в осях `Axes`, при этом в одной фигуре может быть несколько `Axes`. Рассмотрим это на примере функции [plt.subplots](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.subplots.html).\n", "\n", "\n", "### 1 figure - 1 axes" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline\n", "\n", "\n", "# Генерация данных\n", "x = np.linspace(0, 2 * np.pi, 100)\n", "y1 = np.sin(x)\n", "y2 = np.cos(x)\n", "\n", "# Построение графика\n", "fig, ax = plt.subplots()\n", "fig.set_figheight(10)\n", "fig.set_figwidth(9)\n", "ax.plot(x, y1, x, y2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Разберем по блокам ячейку выше.\n", "\n", "```python\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline\n", "```\n", "\n", "Кроме стандартных импортов встречается выражение `%matplotlib inline`, которое, как и `%time` и `%%timeit`, не является частью языка `python`, а перехватывается `jupyter notebook`. Это выражение говорит `jupyter` встраивать фигуры `matplotlib` прямиком в `jupyter notebook`. Достойным аналогом ей является `%matplotlib notebook`.\n", "\n", "\n", "В следующем блоке команд осуществляется генерация данных, для построения графика и тут нет ничего необычного. \n", "\n", "```python\n", "x = np.linspace(0, 2 * np.pi, 100)\n", "y1 = np.sin(x)\n", "y2 = np.cos(x)\n", "```\n", "\n", "\n", "Следующая строка создаёт фигуру с одними осями на ней:\n", "```python\n", "fig, ax = plt.subplots()\n", "```\n", "Функция `plt.subplots()` возвращает два значения:\n", "1. созданную фигуру; \n", "2. оси, привязанные к этой фигуре. В данном случае таких осей всего одна штука.\n", "\n", "Связываем созданную фигуру с именем `fig`, а созданные оси с именем `ax`.\n", "\n", "Далее задаются размеры фигуры командами\n", "```python\n", "fig.set_figheight(10)\n", "fig.set_figwidth(9)\n", "```\n", "Размеры итоговой картинки выходят крупнее, что можно отследить, сравнив этот пример с [самым первым графиком](first-graph). Вообще говоря, размеры фигуры можно было задать при создании фигуры по ключевому слову `figsize`. Т.е. последние 3 рассмотренные строки можно заменить на\n", "```python\n", "fig, ax = plt.subplots(figsize=(10, 9))\n", "```\n", "\n", "Далее строятся графики на единственных осях созданной фигуры. В самом первом примере график был построен командой `plt.plot`, которая сама создала фигуру с осями на ней и построила на ней график по массивам значений `x` и `y`. Здесь мы вызвали метод `plot` у уже созданных осей. Преимущество такого подхода проявляется тогда, когда осей на фигуре больше одних. \n", "\n", "\n", "### 1 figure - N axes" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline\n", "\n", "\n", "# данные для графиков\n", "x = np.linspace(0.1, 10, 100)\n", "funcs = [[np.sin, np.cos, np.square], [np.sqrt, np.exp, np.log]]\n", "\n", "# Построение графиков\n", "fig, axs = plt.subplots(nrows=2, ncols=3, figsize=(12, 8))\n", "for i in range(2):\n", " for j in range(3):\n", " f = funcs[i][j]\n", " axs[i, j].plot(x, f(x))\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "В данном примере создаётся одна фигура, к которой привязано сразу 6 осей (`Axes`), т.е. 6 разных графиков. Расположение осей внутри графика может быть разным, но самый простой --- с помощью той же самой функции `plt.subplots`, которая располагает их в ячейках \"таблицы\" из `nrows` строк и `ncols` столбцов. Расположим эти графики по 3 столбцам и 2 строкам. \n", "\n", "```python\n", "# данные для графиков\n", "x = np.linspace(0.1, 10, 100)\n", "funcs = [[np.sin, np.cos, np.square], [np.sqrt, np.exp, np.log]]\n", "```\n", "\n", "Здесь задаётся массив значений `x`, который будет общий для всех графиков, и список функций `funcs`, графики которых будут строиться. Забегая вперед, если строк и столбцов несколько, то `plt.subplots` возвращает массив `NumPy`, элементами которого являются `Axes`. Чтобы удобнее было пробегать по этому списку функций в цикле он заранее создан в виде списка списков.\n", "\n", "```python\n", "fig, axs = plt.subplots(nrows=2, ncols=3, figsize=(12, 8))\n", "```\n", "Используя ту же самую функцию `plt.subplots` создаётся одна (!) фигура (`Figure`) и 6 осей (`Axes`). Чтобы осей создалось несколько передаём функции количество строк и столбцов. На выходе получаем объект фигуры `fig` и массив осей `axes` на этой фигуре. Далее в цикле пробегаемся по осям и строим на них график соответствующей функции из списка `funcs`. \n", "\n", "```python\n", "for i in range(2):\n", " for j in range(3):\n", " f = funcs[i][j]\n", " axs[i, j].plot(x, f(x))\n", "```\n", "Здесь код метод `plot` вызывается у `axs[i, j]` --- осей в `i`-й строке и `j`-м столбце фигуры. \n", "\n", "\n", "## Настройка деталей\n", "\n", "Все примеры выше просто строили графики с параметрами по умолчанию. Почти все в `matplotlib` поддаётся модификации.\n", "\n", "![image](/_static/lecture_specific/matplotlib/anatomy.png)\n", "\n", "Ниже приведен кусок кода, демонстрирующий настройку самых основных параметров графика." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline\n", "plt.rc('text', usetex=True)\n", "plt.rc('font', size=24)\n", "plt.rcParams['text.latex.preamble'] = r\"\"\"\n", "\\usepackage[utf8]{inputenc}\n", "\\usepackage[english,russian]{babel}\n", "\\usepackage{amsmath}\n", "\"\"\"\n", "\n", "\n", "x1 = np.linspace(0, 2*np.pi, 100)\n", "y1 = np.sin(x1)\n", "x2 = np.random.uniform(low=0, high=2*np.pi, size=100)\n", "y2 = np.sin(x2) + np.random.normal(loc=0, scale=0.1, size=100)\n", "\n", "fig, ax = plt.subplots(figsize=(10, 8))\n", "ax.plot(x1, y1, color=\"red\")\n", "ax.scatter(x2, y2, marker=\"o\", color=\"green\")\n", "ax.set_xlabel(\"$x$\")\n", "ax.set_ylabel(\"$y$\")\n", "ax.set_title(\"Настройка деталей\", fontdict={\"size\": \"30\"})\n", "ax.legend([\"$\\sin(x)$\", \"Измерения\"], )\n", "ax.xaxis.set_ticks(np.linspace(0, 2*np.pi, 5))\n", "ax.xaxis.set_ticklabels([\"0\", r\"$\\frac{\\pi}{2}$\", r\"$\\pi$\", r\"$\\frac{3\\pi}{2}$\", r\"$2\\pi$\"])\n", "ax.yaxis.set_ticks(np.linspace(-1, 1, 5))\n", "ax.yaxis.set_ticklabels([\"-1\", r\"$-\\frac{1}{2}$\", \"0\", r\"$\\frac{1}{2}$\", \"1\"])\n", "ax.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```{warning}\n", "Этот пример требует установленного $\\LaTeX$ на вашем компьютере.\n", "```\n", "\n", "\n", "\n", "\n", "## Другие графические библиотеки\n", "\n", "```{warning}\n", "Все нижеприведенные библиотеки не входят в дистрибутив `Anaconda` и требуют дополнительной установки. \n", "```\n", "\n", "### seaborn\n", "\n", "[seaborn](https://seaborn.pydata.org/) другая библиотека для построенная графиков нацеленная прежде всего на задачи статистики, анализа данных, машинного обучения и прочего. Основными её преимуществами являются:\n", "- является расширением `matplotlib`, т.е. можно совмещать;\n", "- графики `seaborn` не требуют долгой настройки, часто выглядят достаточно хорошо сразу же;\n", "- хорошая совместимость с библиотекой `pandas`.\n", "\n", "```{note}\n", "Так же достойны упоминания [vega/altair](https://altair-viz.github.io/).\n", "```\n", " " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "from matplotlib import pyplot as plt\n", "\n", "\n", "sns.set_theme(style=\"darkgrid\")\n", "\n", "# Load an example dataset with long-form data\n", "fmri = sns.load_dataset(\"fmri\")\n", "\n", "# Plot the responses for different events and regions\n", "fig = plt.figure(figsize=(10, 9))\n", "sns.lineplot(x=\"timepoint\", y=\"signal\",\n", " hue=\"region\", style=\"event\",\n", " data=fmri)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### plotly\n", "\n", "Основным преимуществом [plotly](https://plotly.com/python/) является построение графиков, с которыми можно интерактивно взаимодействовать. \n", "\n", "```python\n", "import plotly.express as px\n", "\n", "df = px.data.iris()\n", "fig = px.scatter(df, x=\"sepal_width\", y=\"sepal_length\", color=\"species\", size=\"sepal_length\")\n", "iplot(fig)\n", "```\n", "\n", "Приведеный выше код создаёт интерактивый график, который сразу встраивается в jupyter notebook. Т.к. материалы этого ресурса создаются однажды перед публикацией, а не при каждом открытии странички, то чтобы встроить этот график сюда, необходимо сохранить его и загрузить средставми `jupyter` отдельно явным образом." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "import plotly.express as px\n", "from plotly.offline import iplot\n", "\n", "df = px.data.iris()\n", "fig = px.scatter(df, x=\"sepal_width\", y=\"sepal_length\", color=\"species\", size=\"sepal_length\")\n", "fig.write_html('plotly_example.html')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "
\n", "
\n", "\n", "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.display import display, HTML\n", "display(HTML('plotly_example.html'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```{note}\n", "Так же достоин упоминания [bokeh](https://docs.bokeh.org/en/latest/).\n", "```\n", "\n", "### mayavi\n", "\n", "[Mayavi](https://docs.enthought.com/mayavi/mayavi/) предназначена для визуализации научных данных, а не заточена под статистику и анализ данных, в отличие от нескольких предыдущих графических библиотек." ] } ], "metadata": { "interpreter": { "hash": "8617202e12f254480e1fae3258716b685f1a56bcbf234a446366b4fd3345ed22" }, "kernelspec": { "display_name": "Python 3.8.10 64-bit", "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": "3.8.10" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }