Added notebooks

Author: zfergus

.gitignore

@@ -258,3 +258,5 @@ IPCToolkitOptions.cmake
 src/ipc/config.hpp
 
 docs/_doxygen
+
+notebooks/*.[ch]pp

notebooks/area_weights.ipynb

@@ -0,0 +1,166 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy\n",
+    "import sympy\n",
+    "from sympy.printing import ccode\n",
+    "\n",
+    "from generate_cpp_code import *\n",
+    "from utils import norm"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "funcs = []"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Edge Length"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def edge_len(e0, e1):\n",
+    "    return norm(e1 - e0)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "x_2D = numpy.array(sympy.symbols(\" \".join([f\"e{i}_{d}\" for i in range(2) for d in \"xy\"])))\n",
+    "x_3D = numpy.array(sympy.symbols(\" \".join([f\"e{i}_{d}\" for i in range(2) for d in \"xyz\"])))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "funcs.append(CXXGradientGenerator(\n",
+    "    edge_len(*numpy.split(x_2D, 2)), x_2D, \n",
+    "    \"edge_length_gradient_2D\", out_param_name=\"dA\"))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "funcs.append(CXXGradientGenerator(\n",
+    "    edge_len(*numpy.split(x_3D, 2)), x_3D, \n",
+    "    \"edge_length_gradient_3D\", out_param_name=\"dA\"))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Triangle Area"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def triangle_area(t0, t1, t2):\n",
+    "    n = numpy.cross(t1 - t0, t2 - t0)\n",
+    "    return norm(n) / 2"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "x = numpy.array(sympy.symbols(\" \".join([f\"t{i}_{d}\" for i in range(3) for d in \"xyz\"])))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "funcs.append(CXXGradientGenerator(\n",
+    "    triangle_area(*numpy.split(x, 3)), x,\n",
+    "    \"triangle_area_gradient\", out_param_name=\"dA\"))"
+   ]
+  },
+  {
+   "attachments": {},
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Generate Code"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "generate_hpp_file(funcs, \"area_gradient.hpp\")\n",
+    "generate_cpp_file(funcs, \"area_gradient.cpp\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.11.1"
+  },
+  "orig_nbformat": 4,
+  "vscode": {
+   "interpreter": {
+    "hash": "5c7b89af1651d0b8571dde13640ecdccf7d5a6204171d6ab33e7c296e100e08a"
+   }
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}