{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Topological transformations"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The library supports utilities to perform topological transformations. The functions can be found in the namespace `sigmaepsilon.mesh.utils.topology.tr`."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create a grid of VTK compliant bilinear quadrilaterals (Q4):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sigmaepsilon.mesh.grid import grid\n",
    "\n",
    "gridparams = {\n",
    "    \"size\": (1200, 600),\n",
    "    \"shape\": (30, 15),\n",
    "    \"eshape\": (2, 2),\n",
    "    \"path\": [0, 2, 3, 1]\n",
    "}\n",
    "coords, topo = grid(**gridparams)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Transform the topology of the resulting mesh to 6-noded triangles:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sigmaepsilon.mesh.utils.topology.tr import Q4_to_Q9, Q9_to_T6\n",
    "\n",
    "coords, topo = Q9_to_T6(*Q4_to_Q9(coords, topo))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To get the full list of transformation functions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['transform_topology',\n",
       " 'compose_trmap',\n",
       " 'L2_to_L3',\n",
       " 'T3_to_T6',\n",
       " 'T3_to_L2',\n",
       " 'T6_to_T3',\n",
       " 'Q4_to_Q8',\n",
       " 'Q4_to_Q9',\n",
       " 'Q9_to_Q4',\n",
       " 'Q8_to_T3',\n",
       " 'Q9_to_T6',\n",
       " 'Q4_to_T3',\n",
       " 'H8_to_L2',\n",
       " 'H8_to_Q4',\n",
       " 'H8_to_H27',\n",
       " 'H8_to_TET4',\n",
       " 'H27_to_H8',\n",
       " 'H27_to_TET10',\n",
       " 'TET4_to_L2',\n",
       " 'TET4_to_TET10',\n",
       " 'W6_to_W18',\n",
       " 'W6_to_TET4',\n",
       " 'W18_to_W6']"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import sigmaepsilon.mesh.utils.topology.tr as topo_tr\n",
    "\n",
    "topo_tr.__all__"
   ]
  }
 ],
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