{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lambdify in symbolic module\n",
    "### Importing required modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sympy\n",
    "from sympy.abc import x, y\n",
    "from sympy import symbols\n",
    "from einsteinpy.symbolic import BaseRelativityTensor\n",
    "\n",
    "sympy.init_printing()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculating a Base Relativity Tensor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "syms = symbols(\"x y\")\n",
    "x, y = syms\n",
    "T = BaseRelativityTensor([[x, 1],[0, x+y]], syms, config=\"l\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calling the lambdify function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( x, \\quad y\\right )$$"
      ],
      "text/plain": [
       "(x, y)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "args, func = T.tensor_lambdify()\n",
    "args"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`args` indicates the order in which arguments should be passed to the returned function `func`\n",
    "\n",
    "### Executing the returned function for some value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left [ \\left [ 2, \\quad 1\\right ], \\quad \\left [ 0, \\quad 3\\right ]\\right ]$$"
      ],
      "text/plain": [
       "[[2, 1], [0, 3]]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "func(2, 1)"
   ]
  }
 ],
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