{
 "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 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=\"ll\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calling the lambdify function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAADMAAAAVCAYAAADrVNYBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAACwElEQVRYCdWX33ETMRCHj0wKMFABRweBdJB0EEwFMR3A5Ml+Y5wOklTAkA5MByHpwOkA4w7M9ynSjXy5O+I/D/bO7EnalXZ/e7vS6YrFYlHkPBwOy3y8q/0mnAdFRqPR6CvDo0y0y90y4q0wVsGgOEP6lva20u5wB5y/hBdxPyG1jEhZD77f1ZLqwiVu8TsnZWZMaFdP4e3dU9ziL14ZEan6C7/euzAiYPHTfXdA54TO474GEnGLv3/I4xMcNlNULDUE20MwiMJj2nO4hD9H2R1ztnJoZL7eY3vK+DL6KKLuhla8dRL/qXvmIzyta7PxWKMysjv4Bj5h/I3WQEO90m6DLqKfCcYuagb7jD1xm0j8pcEIaNY0A8NmpA5WgykTbxr0Tab+K8OX2fZlSadwvfSVtVWQ+HuWmYDmcBP9xkluVIMPSUbblPImOy+RzbCXXpJZ+F5b5N6uy9IUMYbMJMGzFuMPNaEGf9RkWxniK7xQWn1YLdfJMDJvJcraMhMSYpkZlRM7KTpxTnp7BbKe3LlwdaXZNvvzbKkBzpHVX26aIoaZwVhv1usSRaATWg1JX3wwzsvODZs7Vb9pcGLJfei2a7+oNzOPBmO0Hrl1MgjZWg6R06+AI1OXNizdEKjz/ADfB8F6j6VAoh99ecK10QcUE4NxkjVZJ+vTutXQAKNm5pz2CvaUs8SqkmNcMDbYULb0DWwd8sjXlp8Eb/HpkGnbL04X4234l+GiNoWPui50q+iwdZYuf6usa5qLnTHceglGV8JT15oZyW9J2BNhtPnjmLdaleRLzbHGrFclSt/sWgVtR7KmzWT4FoZgWGQ5+bNTqt2EIoA/a9qwXPKj39vGNTaXyjnZjnjFHY7xw6SgtTZ/wp4cm1Af49WdakVDvuX0B+n9zEx17RWv/2lPFc/+/6m/QVPt7ppMnO6XHNc/2yAbsYpSDAYAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$\\displaystyle \\left( x, \\  y\\right)$"
      ],
      "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": "iVBORw0KGgoAAAANSUhEUgAAAHwAAAAVCAYAAACE5YosAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAD1klEQVRoBe2a7VEbMRCGj0wKcJIOoAM+KgjpINBBoAMy+WX+ZaADSAUJdAAdJFACHYS4hLzPWXsjC52RfDqfcbIzYnV70r6r3dXXmY3xeHxSVdWxCnRwenp6T0U8KufdKtCy7Vs2Xq6P2+wL5a+l+J3KsV7cBiBt8qDZMI+y91zI5+Jn4m+XYMWL9EfoJwKeRVKwqQ6fXadd8UeeJa9XBicvxqR3W8quVHZUnxRTXFCR7CLpoN8qWypnkj0gKEXSh99tJR6pzjM44USdC5kVcAcKyIFpVZ3B3ol/UMkCNx0hlx4G9E2FZCKpGNxKkmy9k2Ffxa8x0Nlu/igSdKeTSWUBB+dIcDfibMM1NvjP0avnGgTvCe4nXyYwZjszj1lYhKRz4gbCAL8XUdqDEtmI00fijcOxXTKeLwpCgnMk3R89nT9c/Ysne7aaG/B9afwjYGagT8xsBr6yM9E3tmCdlS62lf2UfD/ip0WhwSCRKDVJd1M3WQrPWtKlkMBuzwELEyHFhpfchglwGRmABYP3zeyPtEsSyd/4/Y3fWDKb7VkrSVbABdLs3T646hysKr2PZXvQdD0eNdaU5O7l9iBsEontldtVLOFanZwV8JgWARJslnI7ucearaPMgmmz2R8jh00oJSmmLRP+Ol8T7D0VJtevhG4zTToHXNo4rF3KGO7F/2nWA9zdi5F8TJDrVVR1lnRuA72e0meMFxj7x614c12YabDeDzaLY6O02c+9vBeSzzkbsLpcqZ68kuSe0hvjBcJVoRL/F4PNuG0pjznbZKXu4RyU2TpDsiWdZT6JFgq4wFlOtsSbYKu+SUlCXZ9GnJ5jY7YZzvtOJJ+SPHzcYfm2RFpYZ3bABUqm7YmHhzSSoFnmShi38KgiHXuyh/PLbgRuR7J7YU7s3aL4Tgd6rn19Tq9hJydWVsAFSDYzSD6yXHgFGVeEeoDiZCIfaMjMwakve6SXK9GjOMlek8M61EPzRbIAPpPrZoow/esw8XPjd/99Wz0r4FJCYAl6/anP4wy4DrZ4JWOos3+RGBiVTerHYYRB2qdDljRk/GybRerT2Z45gMxmVrwTZxu/AbxXvT5N00/1TvjqT2I9iDeTTM9sp/x+0d89XMoZXBKpLXt8k/lJnbxG6tv2kcdrlV7tak8bkvQSzHB7e9K8K776s2wnL91PDHCC3BnepqdNTubjkFWhoe0ZGr/qLeAK9EhR7u0emptBQ9szNL75q7eAC+BQg1ylr29D2zM0fh3zDf1PGx/hba89UJDs011UbpkyNJed9j933Hmxu/P+Nm9M0v8i/RH66S+q5pYYfY/nJQAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$\\displaystyle \\left[ \\left[ 2, \\  1\\right], \\  \\left[ 0, \\  3\\right]\\right]$"
      ],
      "text/plain": [
       "[[2, 1], [0, 3]]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "func(2, 1)"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
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    "name": "ipython",
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   },
   "file_extension": ".py",
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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