{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction to symbols"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "The parameterisable parts of a diagram are represented by :term:`symbols <symbol>`; these are instances of the :py:class:`lambeq.Symbol` class. Let's create a tensor diagram for a sentence:\n",
    "\n",
    ":download:`Download code <../_code/training-symbols.ipynb>`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "from lambeq import AtomicType, BobcatParser, TensorAnsatz\n",
    "from lambeq.backend.tensor import Dim\n",
    "\n",
    "# Define atomic types\n",
    "N = AtomicType.NOUN\n",
    "S = AtomicType.SENTENCE\n",
    "\n",
    "# Parse a sentence\n",
    "parser = BobcatParser(verbose='suppress')\n",
    "diagram = parser.sentence2diagram('John walks in the park')\n",
    "\n",
    "# Apply a tensor ansatz\n",
    "ansatz = TensorAnsatz({N: Dim(4), S: Dim(2)})\n",
    "tensor_diagram = ansatz(diagram)\n",
    "tensor_diagram.draw(figsize=(12,5), fontsize=12)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. note::\n",
    "    \n",
    "   Class :py:class:`~lambeq.Symbol` inherits from class :py:class:`sympy.Symbol`.\n",
    "\n",
    "The :term:`symbols <symbol>` of the diagram can be accessed by the ``free_symbols`` attribute:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{John__n, in__s.r@n.r.r@n.r@s@n.l, park__n, the__n@n.l, walks__n.r@s}"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tensor_diagram.free_symbols"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each symbol is associated with a specific size, which is defined from the applied ansatz."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(in__s.r@n.r.r@n.r@s@n.l, 256),\n",
       " (walks__n.r@s, 8),\n",
       " (John__n, 4),\n",
       " (the__n@n.l, 16),\n",
       " (park__n, 4)]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[(s, s.size) for s in tensor_diagram.free_symbols]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For example, you see that preposition \"in\" has been assigned 256 dimensions, which is derived by multiplying the dimensions of each individual wire ($2 \\cdot 4 \\cdot 4 \\cdot 2 \\cdot 4$), nouns are assigned 4 dimensions, and the determiner 16 dimensions.\n",
    "\n",
    "## Circuit symbols"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "We will now convert the original diagram into a :term:`quantum circuit` and examine its parameters:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from lambeq import IQPAnsatz\n",
    "\n",
    "iqp_ansatz = IQPAnsatz({N: 1, S: 1}, n_layers=1)\n",
    "circuit = iqp_ansatz(diagram)\n",
    "circuit.draw(figsize=(12,8), fontsize=12)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "Let's see the :term:`symbols <symbol>` of the :term:`circuit <quantum circuit>`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{John__n_0,\n",
       " John__n_1,\n",
       " John__n_2,\n",
       " in__s.r@n.r.r@n.r@s@n.l_0,\n",
       " in__s.r@n.r.r@n.r@s@n.l_1,\n",
       " in__s.r@n.r.r@n.r@s@n.l_2,\n",
       " in__s.r@n.r.r@n.r@s@n.l_3,\n",
       " park__n_0,\n",
       " park__n_1,\n",
       " park__n_2,\n",
       " the__n@n.l_0,\n",
       " walks__n.r@s_0}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.free_symbols"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "In contrast to the tensor case, the above symbols are not associated with a specific size; this is because the parameters of the :term:`circuit <quantum circuit>` are not tensors but numbers (i.e. \"tensors\" of size 1), defining rotation angles on :term:`qubits <qubit>`. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## From symbols to tensors"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "In this section we will create actual tensors and associate them with the :term:`symbols <symbol>` of the diagram. In order to do this, we first need to fix the order of the symbols, since they are represented as a set. We can use ``sympy``'s ``default_sort_key`` for this purpose."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sympy import default_sort_key\n",
    "\n",
    "parameters = sorted(tensor_diagram.free_symbols, key=default_sort_key)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use `numpy` arrays for the tensors, initialised randomly:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.20328544 0.6856217  0.6337871  0.57768928]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "tensors = [np.random.rand(p.size) for p in parameters]\n",
    "print(tensors[0])"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "Associating the ``numpy`` arrays with the :term:`symbols <symbol>` in the diagram can be done by using the :py:meth:`~lambeq.backend.tensor.Diagram.lambdify` method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Before lambdify: John__n\n",
      "After lambdify: [0.20328544 0.6856217  0.6337871  0.57768928]\n"
     ]
    }
   ],
   "source": [
    "tensor_diagram_np = tensor_diagram.lambdify(*parameters)(*tensors)\n",
    "print(\"Before lambdify:\", tensor_diagram.boxes[0].data)\n",
    "print(\"After lambdify:\", tensor_diagram_np.boxes[0].data)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "To contract the :term:`tensor network` and compute a representation for the sentence, we will use :py:meth:`~lambeq.backend.tensor.Diagram.eval`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[18.41306384 16.09003165]\n"
     ]
    }
   ],
   "source": [
    "result = tensor_diagram_np.eval(dtype=float)\n",
    "print(result)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. note::\n",
    "\n",
    "   The result is a 2-dimensional array, based on the fact that we have assigned a dimension of 2 to the sentence space when applying the :term:`ansatz <ansatz (plural: ansätze)>`.\n",
    "\n",
    "The result is an instance of the :py:class:`numpy.ndarray` class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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