{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lostinmsh as lsm\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "%matplotlib inline\n",
    "plt.rcParams.update({\"font.size\": 15})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define the polygon\n",
    "\n",
    "First we need to define the polygon from its vertices given as a sequence of 2d points and we also need to provide a name."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "vertices = [[0, 0], [1, 0], [0, 1]]\n",
    "polygon = lsm.Polygon.from_vertices(vertices, \"Cavity\")\n",
    "\n",
    "fig, ax = plt.subplots(figsize=[5, 5], layout=\"constrained\")\n",
    "lsm.plot_polygon(polygon, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define the geometry\n",
    "\n",
    "Then, we need to define the geometry from a polygon and a border.\n",
    "Two type of borders are implemented Circular and Rectangular borders without with a PML.\n",
    "The border can be given explicitly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig, axs = plt.subplots(nrows=2, ncols=2, figsize=[10, 10], layout=\"constrained\")\n",
    "center = np.array([1 / 3, 1 / 3])\n",
    "borders = [\n",
    "    [\n",
    "        lsm.Rectangular(center=center, half_width=1, half_height=1),\n",
    "        lsm.Rectangular(center=center, half_width=1, half_height=1, thickness=0.2),\n",
    "    ],\n",
    "    [\n",
    "        lsm.Circular(center=center, radius=1),\n",
    "        lsm.Circular(center=center, radius=1, thickness=0.2),\n",
    "    ],\n",
    "]\n",
    "\n",
    "for i in range(2):\n",
    "    for j in range(2):\n",
    "        border, ax = borders[i][j], axs[i, j]\n",
    "        geometry = lsm.Geometry.from_polygon(polygon, border)\n",
    "        lsm.plot_geometry(geometry, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Or the border can be computed automaticaly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig, axs = plt.subplots(nrows=2, ncols=2, figsize=[10, 10], layout=\"constrained\")\n",
    "borders = [\n",
    "    [\n",
    "        lsm.AutoRectangular(border_factor=0.5),\n",
    "        lsm.AutoRectangular(border_factor=0.5, thickness_factor=0.25),\n",
    "    ],\n",
    "    [\n",
    "        lsm.AutoCircular(border_factor=0.5),\n",
    "        lsm.AutoCircular(border_factor=0.5, thickness_factor=0.25),\n",
    "    ],\n",
    "]\n",
    "\n",
    "for i in range(2):\n",
    "    for j in range(2):\n",
    "        border, ax = borders[i][j], axs[i, j]\n",
    "        geometry = lsm.Geometry.from_polygon(polygon, border)\n",
    "        lsm.plot_geometry(geometry, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mesh the geometry"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Info    : Increasing process stack size (8192 kB < 16 MB)\n"
     ]
    }
   ],
   "source": [
    "lsm.mesh_unstructured(geometry, 0.1, lsm.GmshOptions(gui=True))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Locally structured mesh the geometry"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "lsm.mesh_loc_struct(geometry, 0.1, lsm.GmshOptions(gui=True))"
   ]
  }
 ],
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