📄 gradient.ipynb
/home/palash/git/misc/maths/gradient.ipynb
Language: ipynb • Lines: 128
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d2d9f119-88f9-48ca-95c3-e1191bb80b1b",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ec1fdfba-5d3a-4285-9e43-fddea80b8876",
   "metadata": {},
   "outputs": [],
   "source": [
    "a = np.random.random((10, 10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f3f0e2be-084f-4370-9995-726b2dbcd7bf",
   "metadata": {},
   "outputs": [],
   "source": [
    "b = np.random.random((10,10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "396c9898-daa3-4e4c-9c50-2d33004c4e07",
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(x, y):\n",
    "    return x**2*y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "15cdf6dd-7fbc-4c4e-88c6-33519db87f28",
   "metadata": {},
   "outputs": [],
   "source": [
    "z = f(a, b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "18681181-5cc2-48d8-9c6d-83a23580853a",
   "metadata": {},
   "outputs": [],
   "source": [
    "gy, gx = np.gradient(z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "df0db98e-51a1-41bf-b630-20a04c72404c",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\iampk\\AppData\\Local\\Temp\\ipykernel_10536\\2538767417.py:1: UserWarning: The input coordinates to pcolor are interpreted as cell centers, but are not monotonically increasing or decreasing. This may lead to incorrectly calculated cell edges, in which case, please supply explicit cell edges to pcolor.\n",
      "  plt.pcolor(a, b, z)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.pcolor(a, b, z)\n",
    "plt.colorbar()\n",
    "plt.quiver(a, b, gx, gy)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a7b70bb9-07cb-48b8-a404-55465cd43e91",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.12.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}