{ "cells": [ { "cell_type": "markdown", "id": "7c93b650-8328-4435-afb0-72b263d77479", "metadata": {}, "source": [ "# Вычисления. Часть 1" ] }, { "cell_type": "markdown", "id": "e8732d0f-a307-4638-8fa3-293876168a8a", "metadata": {}, "source": [ "## Числовые данные" ] }, { "cell_type": "markdown", "id": "18193924-03d1-4bca-b215-8dbeb167937d", "metadata": {}, "source": [ "Встроенные средства Python не слишком хороши для работы с числовыми данными, поэтому для этого существуют отдельные модули. Наиболее важной из них является модуль NumPy, высокоэффективные методы для работы с числовыми массивам." ] }, { "cell_type": "markdown", "id": "e6346309-eefb-48fa-b1ac-5b7c664dd383", "metadata": {}, "source": [ "## Массивы NumPy" ] }, { "cell_type": "markdown", "id": "3f646a8c-59f6-4174-90f3-496ab473e701", "metadata": {}, "source": [ "Ключевой компонент NumPy — высокопроизводительные многомерные статические числовые массивы `np.ndarray`. Также в NumPy имеются многочисленные методы которые позволяют избежать накладных расходов при преобразовании `np.ndarray` к типам Python и обратно.\n", "\n", "Некоторые свойства `np.ndarray`:\n", "\n", "| Свойство | Значение |\n", "| ------ | -------- |\n", "| `a.ndim` | Число измерений массива `a` |\n", "| `a.shape` | Размер по осям (кортеж) массива `a` |\n", "| `a.size` | Общее число элементов в `a` |\n", "| `a.dtype` | Тип данных массива `a` |\n", "\n", "### Создание массивов" ] }, { "cell_type": "code", "execution_count": 10, "id": "370b125f-7103-4254-9da7-8703fbfcd99c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1 2 3 4 5]\n" ] } ], "source": [ "import numpy as np\n", "\n", "# Из списка Python\n", "a = np.array([1,2,3,4,5])\n", "print(a)" ] }, { "cell_type": "code", "execution_count": 12, "id": "05f94991-e9cf-4e7c-b548-39217a9b8471", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0. 0. 0. 0. 0.]\n" ] } ], "source": [ "# Заполнение нулями\n", "a = np.zeros(5)\n", "print(a)" ] }, { "cell_type": "code", "execution_count": 13, "id": "d0410dd3-508a-4de0-bedb-7d2e07c320a5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0. 1.25 2.5 3.75 5. ]\n" ] } ], "source": [ "# 5 точек от 0 до 5 включительно\n", "a = np.linspace(0,5,5)\n", "print(a)" ] }, { "cell_type": "code", "execution_count": 14, "id": "515bec51-7a19-4443-8207-d17d3d9bb4db", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0 1 2 3 4]\n" ] } ], "source": [ "# точки от 0 до 5 с шагом 1\n", "a = np.arange(0,5,1)\n", "print(a)" ] }, { "cell_type": "markdown", "id": "a4543459-617e-49e2-8594-6dc9e66d8bdb", "metadata": {}, "source": [ "### Многомерные массивы\n", "\n", "Класс `np.ndarray` также позволяет работать с многомерными массивами. При этом задается параметр `shape` определяющий размерность. " ] }, { "cell_type": "code", "execution_count": 15, "id": "990d3f89-99cf-480b-90df-7b175c103dd4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 0. 0.]\n", " [0. 0. 0.]]\n" ] } ], "source": [ "import numpy as np\n", "\n", "# Массив 2x3\n", "a = np.zeros((2,3))\n", "print(a)" ] }, { "cell_type": "code", "execution_count": 16, "id": "bba61479-b105-410e-bb51-dc9e21a64b90", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 1.]\n", " [2. 3.]\n", " [4. 5.]]\n" ] } ], "source": [ "a = np.linspace(0,5,6)\n", "\n", "# Изменение формы массива\n", "b = a.reshape((3,2))\n", "print(b)" ] }, { "cell_type": "code", "execution_count": 17, "id": "fea5957e-f754-4cd5-9d82-4f3bd803bb93", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 2. 4.]\n", " [1. 3. 5.]]\n" ] } ], "source": [ "# Изменение порядка осей\n", "c = np.moveaxis(b,0,-1)\n", "print(c)" ] }, { "cell_type": "markdown", "id": "a6343643-508e-461e-bbe3-ef6e5c4b0fb5", "metadata": {}, "source": [ "### Индексация в массиве\n", "\n", "При индексации сохраняется порядок индексов аналогичный фигуре " ] }, { "cell_type": "code", "execution_count": 18, "id": "6e6c8756-c093-46fe-bff7-b2fbdd0e7905", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 1.]\n", " [2. 3.]\n", " [4. 5.]]\n" ] } ], "source": [ "import numpy as np\n", "\n", "b = np.linspace(0,5,6).reshape((3,2))\n", "print(b)" ] }, { "cell_type": "code", "execution_count": 19, "id": "ce7d693d-c0c4-44f7-99ca-74f3043aeb5d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.0\n" ] } ], "source": [ "# Один элемент\n", "print(b[1,1])" ] }, { "cell_type": "code", "execution_count": 20, "id": "50140dfc-ea01-47ef-9963-a8015107da70", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[2. 3.]\n" ] } ], "source": [ "# Все элементы по 1 оси, 1 элемент по 0 оси\n", "print(b[1,:])" ] }, { "cell_type": "code", "execution_count": 21, "id": "893d7c53-ce5e-46f8-a850-6f468131324a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1. 3. 5.]\n" ] } ], "source": [ "# Все элементы по 0 оси, 1 элемент по 1 оси\n", "print(b[:,1])" ] }, { "cell_type": "code", "execution_count": 22, "id": "7dc3678b-b38b-4ee7-b6bb-4ce151ee570b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[3.]\n" ] } ], "source": [ "# Выборка и использованием срезов\n", "v = b[1:-1,1]\n", "print(v)" ] }, { "cell_type": "markdown", "id": "713320a9-99e4-4fd9-b34c-131beaa6eda6", "metadata": {}, "source": [ "В целях оптимизации срезы создают не копии `np.ndarray`, а так называемые представления (view), поэтому меняя данные в срезе они будут меняться и в исходном массиве.\n", "\n", "### Операции с массивами\n", "\n", "В отличии от обычных списков Python операции над массивами производятся поэлементно. " ] }, { "cell_type": "code", "execution_count": 23, "id": "924e3897-b2ab-40d6-9080-00aed26a2e51", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 1.]\n", " [2. 3.]\n", " [4. 5.]]\n" ] } ], "source": [ "import numpy as np\n", "\n", "b = np.linspace(0,5,6).reshape((3,2))\n", "print(b)" ] }, { "cell_type": "code", "execution_count": 24, "id": "e337733c-0dc2-4f9d-85f5-f0a9ff265ece", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[2. 3.]\n", " [4. 5.]\n", " [6. 7.]]\n" ] } ], "source": [ "# Операция с числом\n", "c = b + 2\n", "print(c)" ] }, { "cell_type": "code", "execution_count": 25, "id": "0b848c75-03bb-4509-82b5-962879f9df7a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0. 1.]\n", " [ 4. 9.]\n", " [16. 25.]]\n" ] } ], "source": [ "# Операция с массивом того-же размера\n", "c = b * b\n", "print(c)" ] }, { "cell_type": "markdown", "id": "38c5dd43-a78c-4b4b-b8b9-c3d46ca6fc3b", "metadata": {}, "source": [ "В отличии от обычных списков Python операции над массивами производятся поэлементно.\n", "\n", "Математические функции из `math` работать с `np.ndarray` не умеют, но в модуле `numpy` есть их аналоги (`np.cos`, `np.log10`, …).\n", "\n", "#### Конкатенация" ] }, { "cell_type": "code", "execution_count": 26, "id": "9c40f43e-e489-4e5e-9bba-49eafb453845", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 1.]\n", " [2. 3.]\n", " [4. 5.]]\n" ] } ], "source": [ "b = np.linspace(0,5,6).reshape((3,2))\n", "print(b)" ] }, { "cell_type": "code", "execution_count": 27, "id": "79ad5785-26a8-4c21-9b91-81f1d4185918", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 1.]\n", " [2. 3.]\n", " [4. 5.]\n", " [0. 1.]\n", " [2. 3.]\n", " [4. 5.]]\n" ] } ], "source": [ "# Конкатенация по строкам\n", "d = np.vstack((b,b))\n", "print(d)" ] }, { "cell_type": "code", "execution_count": 28, "id": "1821ce54-0944-4523-81de-dce67f0323b0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 1. 0. 1.]\n", " [2. 3. 2. 3.]\n", " [4. 5. 4. 5.]]\n" ] } ], "source": [ "# Конкатенация по столбцам\n", "d = np.hstack((b,b))\n", "print(d)" ] }, { "cell_type": "markdown", "id": "501b7a0c-24f0-482a-84e9-f3c2726fd456", "metadata": {}, "source": [ "#### Итерация\n", "\n", "NumPy предлагает альтернативный подход к итерации по всем элементам многомерного массива по сравнению с обычными вложенными циклами. " ] }, { "cell_type": "code", "execution_count": 31, "id": "d35978ef-0ca3-4140-8a93-cca40b968b00", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0. 1.] [2. 3.] [4. 5.] " ] } ], "source": [ "# Обычный обход. Получаем строки.\n", "# Нужен вложенный цикл для доступа к элементам. Только чтение.\n", "for x in b:\n", " print(x, end=\" \")" ] }, { "cell_type": "code", "execution_count": 32, "id": "58096c23-da26-41be-a4c9-0409221c561b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0 1.0 2.0 3.0 4.0 5.0 " ] } ], "source": [ "# Обход через np.nditer\n", "for x in np.nditer(b):\n", " print(x, end=\" \")" ] }, { "cell_type": "code", "execution_count": 33, "id": "9287543d-cf58-48f2-b2fc-cf84c7ec0110", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 2. 4.]\n", " [ 6. 8.]\n", " [10. 12.]]\n" ] } ], "source": [ "# Обход через np.nditer с возможностью записи\n", "for x in np.nditer(b, op_flags=['readwrite']):\n", " x[...] = 2 * x + 2\n", "print(b)" ] }, { "cell_type": "code", "execution_count": 35, "id": "9ed82c86-32aa-4901-b4ec-44c24da4f08f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(0, 0) 2.0; (0, 1) 4.0; (1, 0) 6.0; (1, 1) 8.0; (2, 0) 10.0; (2, 1) 12.0; " ] } ], "source": [ "# Многомерный аналог enumerate\n", "for index, x in np.ndenumerate(b):\n", " print(index, x, end=\"; \")" ] }, { "cell_type": "markdown", "id": "8a272600-eaca-4393-903a-ac40b174798c", "metadata": {}, "source": [ "#### Операции сравнения\n", "\n", "Применение операций сравнения (`>`, `<`, `>=`, `<=`, `==`, `!=`) к массивам `np.ndarray` вызывает создание массива значений типа `bool` соответствующего размера. " ] }, { "cell_type": "code", "execution_count": 39, "id": "ba430e3d-f22a-4e47-9319-89ed46cdb944", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[False False]\n", " [False False]\n", " [ True True]]\n" ] } ], "source": [ "b = np.linspace(0,5,6).reshape((3,2))\n", "t = b>3\n", "print(t)" ] }, { "cell_type": "markdown", "id": "a4207645-cad6-4b8d-a7a0-de5503223caf", "metadata": {}, "source": [ "Этот массив можно использовать далее для различных операций в качестве индекса." ] }, { "cell_type": "code", "execution_count": 40, "id": "54042f39-773c-4369-b3cb-e6f6ff80a4de", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[4. 5.]\n" ] } ], "source": [ "q = b[b>3]\n", "print(q)" ] }, { "cell_type": "code", "execution_count": 41, "id": "ee5de1da-6281-450b-ab9a-7ed3f97d8b58", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 1.]\n", " [2. 3.]\n", " [0. 0.]]\n" ] } ], "source": [ "b[b>3] = 0\n", "print(b)" ] }, { "cell_type": "markdown", "id": "77c5172b-349e-40c8-9c1b-bdab2e7ee1b2", "metadata": {}, "source": [ "Маску можно использовать для любых массивов имеющих одинаковый `shape`. Их можно объединить в логические выражение с использованием операторов побитового «и» & и «или» |, а также использовать кванторы `np.any` и `np.all`.\n", " \n", "#### Чтение и запись\n", "\n", "| Пример | Назначение |\n", "| ------ | ---------- |\n", "| `np.save('file.npy', m)` | Сохранение данных из переменный `m` в файл формата Numpy |\n", "| `m = np.load('file.npy')` | Чтение данных из формата Numpy в переменную `m` | \n", "| `np.savetxt('file.txt', m)` | Сохранение данных из переменный `m` в текстовый файл |\n", "| `m = np.loadtxt('file.txt')` | Чтение данных из текстового файла в переменную `m` | \n", "| `m.tofile('file.dat')` | Сохранение данных в двоичный файл |\n", "| `m = np.fromfile('file.dat')` | Сохранение данных в двоичный файл |" ] }, { "cell_type": "markdown", "id": "2645790d-59ee-4da5-a56e-c2eddc12083e", "metadata": {}, "source": [ "### Основные операции линейной алгебры в numpyЧто еще нужно знать о NumPy\n", "\n", "* По NumPy есть подробная [официальная документация](https://numpy.org/doc/stable/reference/index.html)\n", "* Для работы с данными содержащими инвалидные значения существует специальный класс `np.ma.masked_array`\n", "* Два числа с плавающий запятой могут быть равны только чудом, поэтому следует использовать `np.isclose` и явно указывать точность.\n", "* Классы `np.ndarray` переопределяют вывод на печать. Поэтому сделав `print` вы увидите только часть элементов." ] }, { "cell_type": "markdown", "id": "d038dfe3-114b-4a37-811a-ec6aef57eeb8", "metadata": {}, "source": [ "## Основные операции линейной алгебры в NumPy" ] }, { "cell_type": "markdown", "id": "345a4219-48a1-43d4-80d2-4db4bf032d6c", "metadata": {}, "source": [ "### Операции над векторами\n", "\n", "Положим что одномерные массивы a и b являются векторами в трехмерном пространстве: " ] }, { "cell_type": "code", "execution_count": 42, "id": "3d085e65-0c6c-4281-857a-cd5b0d808497", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "a = np.array([1,1,1])\n", "b = np.array([2,-1,3])" ] }, { "cell_type": "markdown", "id": "b164543e-f802-43f3-b117-18b89a94b1f2", "metadata": {}, "source": [ "| Операция | Запись | Результат |\n", "| -------- | ------ | --------- |\n", "| Длина вектора | `np.linalg.norm(a)` | `1.7320508075688772` |\n", "| Произведение вектора на скаляр | `2*a` | `array([2, 2, 2])` |\n", "| Сумма векторов | `a + b` | `array([3, 0, 4])` |\n", "| Скалярное произведение | `np.dot(a,b)` | `4` |\n", "| Векторное произведение | `np.cross(a,b)` | `array([ 4, -1, -3])` |\n", "\n", "### Операции над матрицами\n", "\n", "Положим, что `a` — вектор, а `m` — матрица 3x3. " ] }, { "cell_type": "code", "execution_count": 43, "id": "5f19e904-41d7-4989-abc7-1eecb91ddccb", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "a = np.array([1,1,1])\n", "m = np.array([[1,0,1],[2,1,-1],[-1,0,-3]])" ] }, { "cell_type": "markdown", "id": "1fa8a382-c79f-4dfb-a049-8ab56430c88a", "metadata": {}, "source": [ "| Операция | Запись | Результат |\n", "| -------- | ------ | --------- |\n", "| Определитель | `np.linalg.det(m)` | `-2.0` |\n", "| След | `np.trace(m)` | `-1` |\n", "| Форма | `m.shape` | `(3, 3)` |\n", "| Векторно-матричное умножение | `np.matmul(a, m)` | `array([ 2, 1, -3])` |\n", "| Матричное умножение | `np.matmul(m,m)` | `array([[ 0, 0, -2], [ 5, 1, 4], [ 2, 0, 8]])` |\n", "| Обратная матрица | `np.linalg.inv(m)` | `array([[ 1.5, 0. , 0.5], [-3.5, 1. , -1.5], [-0.5, 0. , -0.5]])` |\n", "| Собственные числа и собственные векторы | `np.linalg.eig(m)` | `(array([ 1. , 0.73205081, -2.73205081]), array([[ 0. , 0.11727205, -0.2405126 ], [ 1. , -0.99260257, 0.36940291], [ 0. , -0.03142295, 0.89760524]]))` |\n", "| Транспонирование | `m.T` | `array([[ 1, 2, -1], [ 0, 1, 0], [ 1, -1, -3]])` |\n", "| Нулевая матрица | `np.zeros((3,3))` | `array([[0., 0., 0.], [0., 0., 0.], [0., 0., 0.]])` |\n", "| Единичная матрица | `np.eye(3)` | `array([[1., 0., 0.], [0., 1., 0.], [0., 0., 1.]])` |\n", "| Удаление измерений состоящих из одного элемента | `np.squeeze(np.array([[[1,2,3]]]))` | `array([1., 2., 3.])` |\n", "\n", "### Вращение координат\n", "\n", "Вращение координат удобно задавать в виде матрицы поворота с помощью модуля `scipy.spatial.transform`:" ] }, { "cell_type": "code", "execution_count": 44, "id": "7c83dbdf-2e7b-46c4-83f2-8e64f869ac82", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.spatial.transform import Rotation\n", "\n", "#Вращение на 90 градусов вокруг оси X\n", "m_rot = Rotation.from_euler('x', [np.pi/2]).as_matrix()\n", "\n", "a = np.array([1,1,1])\n", "\n", "rot_a = np.squeeze(np.matmul(a, m_rot))" ] }, { "cell_type": "markdown", "id": "cbac2768-8fda-47d4-aca5-7dea3beb5347", "metadata": {}, "source": [ "#### Способы задания вращения\n", "\n", "| Способ задания | Описание | Пример |\n", "| -------------- | -------- | ------ |\n", "| Углы Эйлера | Последовательность вращений вокруг осей координат | `Rotation.from_euler('xy', [np.pi/2, -np.pi/6])` |\n", "| Матрица поворота | Матрица направляющих косинусов | `Rotation.from_matrix([[0,0,0],[0,0,0],[0,0,1]])` |\n", "| Вращение вокруг вектора | Вращение вокруг вектора единичной длинны на данный угол | `v = np.array([1, 0, 1]); Rotation.from_rotvec(np.pi/2 * v/np.linalg.norm(v))` |\n", "| Кватернион | Запись вращения в форме кватерниона (x, y, z, w) | `Rotation.from_quat([0. , 0. , 0.70710678, 0.70710678])` |\n", "\n", "Библиотека `scipy.spatial.transform` также позволяет преобразовывать одно представление вращения в другое методами `to_euler`, `to_matrix`, `to_rotvec`, `to_quat`.\n" ] }, { "cell_type": "markdown", "id": "5fc581fc-0195-422a-bf39-885d64c95579", "metadata": {}, "source": [ "## Функция на сетке\n", "\n", "Важная особенность `np.ndarray` — возможность обходиться при вычислении значения функции без циклов. " ] }, { "cell_type": "code", "execution_count": 46, "id": "379efac1-9216-4f51-b6e0-a8dcd8098490", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "def f(x,y):\n", " return x**2+2*x+6*y\n", "\n", "s = np.linspace(1,7,3)\n", "p = np.linspace(5,9,3)" ] }, { "cell_type": "code", "execution_count": 47, "id": "485f2ba9-9ba0-4934-84bc-b49422eab3ce", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 33. 66. 117.]\n" ] } ], "source": [ "v = f (s,p) # Функция f была применена поэлементно \n", "print(v)" ] }, { "cell_type": "code", "execution_count": 48, "id": "5969b11b-8f5d-454c-9a97-dea49b5b8ef2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 33. 45. 57.]\n", " [ 54. 66. 78.]\n", " [ 93. 105. 117.]]\n" ] } ], "source": [ "S, P = np.meshgrid(s,p,indexing='ij')\n", "v = f (S,P) # Функция f была применена для каждой пары из s и p\n", "print(v)" ] }, { "cell_type": "markdown", "id": "085ecbb7-b9ec-4298-84a7-659c7adabf69", "metadata": {}, "source": [ "В случае простой подстановки `f(s,p)` будет массивы будут подставлены поэлементно. В случае подстановки с использованием `meshgrid` из массивов будет построена сетка, в узлах которой будут пары элементов и функция будет рассчитана для каждого элемента сетки." ] }, { "cell_type": "markdown", "id": "90393cff-8a3b-4721-8a41-075fcac5c9fd", "metadata": {}, "source": [ "## Дифференциальные операторы на сетке\n", "\n", "Для расчетов производных на сетке будем использовать модуль findiff" ] }, { "cell_type": "code", "execution_count": 49, "id": "051d66af-d73f-4348-9c59-daa5683afc91", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from findiff import FinDiff\n", "\n", "x = np.linspace(0, 10, 100)\n", "dx = x[1] - x[0]\n", "f = np.sin(x)\n", "\n", "d_dx = FinDiff(0, dx, 1)\n", "df_dx = d_dx(f)" ] }, { "cell_type": "markdown", "id": "463271de-11fe-43a3-a1bc-bdd8c823b68b", "metadata": {}, "source": [ "Объект `FinDiff` реализует дифференциальный оператор, аргументы: `0` — по первой оси, `dx` — размер шага, `1` — первая производная.\n", "\n", "`df_dx` — массив `np.ndarray` со значениями производной `f` в узлах сетки. Модуль `findiff` не изменяет размер массива т.к. на краях применяется схема дифференциирование вперед или назад соответственно, а по остальному объему массива используется центральная схема.\n", "\n", "### Дифференциальные операторы модуля findiff\n", "\n", "| Название | Значение | Запись | Вход | Выход |\n", "| -------- | -------- | ------ | ---- | ----- |\n", "| `FinDiff` | производиная | d/dx | скалярное поле | скалярное поле |\n", "| `Gradient` | градиент | ∇f | скалярное поле | векторное поле |\n", "| `Laplacian` | оператор Лапласа | ∇2 f | скалярное поле | векторное поле |\n", "| `Divergence` | дивергенция | ∇· f | векторное поле | скалярное поле |\n", "| `Curl` | ротор | ∇×f | векторное поле | векторное поле |\n", "\n", "### В 2D задаче" ] }, { "cell_type": "code", "execution_count": 50, "id": "32f69fbf-b266-44b6-b1e8-69d9520204db", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from findiff import Gradient, Divergence, Laplacian\n", "import matplotlib.pyplot as plt\n", "\n", "borders = [-2*np.pi, 2*np.pi, -2*np.pi, 2*np.pi]\n", "\n", "x = np.linspace(-2*np.pi, 2*np.pi, 30)\n", "dx = x[1]-x[0]\n", "y = np.linspace(-2*np.pi, 2*np.pi, 30)\n", "dy = y[1]-y[0]\n", "\n", "X, Y = np.meshgrid(x, y, indexing='ij')\n", "f = Y*np.sin(X) + np.cos(Y)\n", "\n", "plt.imshow(f.T, origin='lower', extent=borders)\n", "contours = plt.contour(X, Y, f, origin='lower', colors = 'r')\n", "plt.clabel(contours, colors = 'r')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 51, "id": "7ef47d02-f262-4a4b-8efe-9d85f9139edb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grad = Gradient(h=[dx, dy])\n", "grad_f = grad(f)\n", "\n", "plt.imshow(f.T , origin='lower', extent=borders)\n", "plt.colorbar()\n", "plt.quiver(X,Y,grad_f[0],grad_f[1])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 52, "id": "01267bd5-97a2-4c75-910d-1d048d21239c", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "u = np.array((X**2-Y**2, Y**2-X))\n", "\n", "div = Divergence(h=[dx, dy])\n", "div_u = div(u)\n", "\n", "plt.imshow(div_u.T,origin='lower', extent=borders)\n", "plt.colorbar()\n", "plt.quiver(X,Y,u[0],u[1])\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a35e29cd-68d8-46b2-8945-dab9a4df516a", "metadata": {}, "source": [ "### В 3D задаче" ] }, { "cell_type": "code", "execution_count": 53, "id": "cba8b7a9-85ae-4fc3-8a81-34211bdbbb72", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from findiff import Gradient, Divergence, Laplacian, Curl\n", "\n", "x = np.linspace(0, 10, 100)\n", "dx = x[1]-x[0]\n", "y = np.linspace(0, 10, 100)\n", "dy = y[1]-y[0]\n", "z = np.linspace(0, 10, 100)\n", "dz = z[1]-z[0]\n", "\n", "X, Y, Z = np.meshgrid(x, y, z, indexing='ij')\n", "f = np.sin(X) * np.cos(Y) * np.sin(Z)\n", "\n", "grad = Gradient(h=[dx, dy, dz])\n", "grad_f = grad(f)\n", "\n", "laplace = Laplacian(h=[dx, dy, dz])\n", "laplace_f = laplace(f)\n", "\n", "g = np.array([f, 2*f, 3*f])\n", "\n", "div = Divergence(h=[dx, dy, dz])\n", "div_g = div(g)\n", "\n", "curl = Curl(h=[dx, dy, dz])\n", "curl_g = curl(g)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.6" } }, "nbformat": 4, "nbformat_minor": 5 }