|
| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "code", |
| 5 | + "execution_count": 1, |
| 6 | + "metadata": {}, |
| 7 | + "outputs": [ |
| 8 | + { |
| 9 | + "name": "stdout", |
| 10 | + "output_type": "stream", |
| 11 | + "text": [ |
| 12 | + "Missing HsMG for fract norm computing\n" |
| 13 | + ] |
| 14 | + } |
| 15 | + ], |
| 16 | + "source": [ |
| 17 | + "from fenics import *\n", |
| 18 | + "import matplotlib.pyplot as plt\n", |
| 19 | + "import networkx as nx\n", |
| 20 | + "import numpy as np\n", |
| 21 | + "import imp\n", |
| 22 | + "from graphnics import *\n" |
| 23 | + ] |
| 24 | + }, |
| 25 | + { |
| 26 | + "cell_type": "code", |
| 27 | + "execution_count": null, |
| 28 | + "metadata": {}, |
| 29 | + "outputs": [ |
| 30 | + { |
| 31 | + "name": "stdout", |
| 32 | + "output_type": "stream", |
| 33 | + "text": [ |
| 34 | + "\n", |
| 35 | + "0 bifurcations:\n", |
| 36 | + "Make graphmesh 0.0039s\n", |
| 37 | + "Make model 0.0018s\n", |
| 38 | + "*Assemble and convert diag terms in a 0.1045s\n", |
| 39 | + "*Assemble and convert off diag terms in a 0.1022s\n", |
| 40 | + "*Assemble and convert bifurcation terms in a 0.1000s\n", |
| 41 | + "Assemble all 0.0237s\n", |
| 42 | + "Convert 0.0030s\n", |
| 43 | + "Solve 0.0021s\n", |
| 44 | + "\n", |
| 45 | + "1 bifurcations:\n", |
| 46 | + "Make graphmesh 0.0054s\n", |
| 47 | + "Make model 0.0046s\n", |
| 48 | + "*Assemble and convert diag terms in a 0.0264s\n", |
| 49 | + "*Assemble and convert off diag terms in a 0.0363s\n", |
| 50 | + "*Assemble and convert bifurcation terms in a 0.0261s\n", |
| 51 | + "Assemble all 0.0489s\n", |
| 52 | + "Convert 0.0082s\n", |
| 53 | + "Solve 0.0020s\n", |
| 54 | + "\n", |
| 55 | + "3 bifurcations:\n", |
| 56 | + "Make graphmesh 0.0064s\n", |
| 57 | + "Make model 0.0078s\n", |
| 58 | + "*Assemble and convert diag terms in a 0.0779s\n", |
| 59 | + "*Assemble and convert off diag terms in a 0.0947s\n", |
| 60 | + "*Assemble and convert bifurcation terms in a 0.0745s\n", |
| 61 | + "Assemble all 0.1102s\n", |
| 62 | + "Convert 0.0377s\n", |
| 63 | + "Solve 0.0032s\n", |
| 64 | + "\n", |
| 65 | + "9 bifurcations:\n", |
| 66 | + "Make graphmesh 0.0138s\n", |
| 67 | + "Make model 0.0214s\n", |
| 68 | + "*Assemble and convert diag terms in a 0.3460s\n", |
| 69 | + "*Assemble and convert off diag terms in a 0.4997s\n", |
| 70 | + "*Assemble and convert bifurcation terms in a 0.4385s\n", |
| 71 | + "Assemble all 0.3122s\n", |
| 72 | + "Convert 0.4137s\n", |
| 73 | + "Solve 0.0086s\n", |
| 74 | + "\n", |
| 75 | + "19 bifurcations:\n", |
| 76 | + "Make graphmesh 0.0231s\n", |
| 77 | + "Make model 0.0502s\n", |
| 78 | + "*Assemble and convert diag terms in a 1.4383s\n" |
| 79 | + ] |
| 80 | + } |
| 81 | + ], |
| 82 | + "source": [ |
| 83 | + "import time\n", |
| 84 | + "\n", |
| 85 | + "\n", |
| 86 | + "for n_nodes in [2, 3, 5, 11, 21]:\n", |
| 87 | + " G = make_line_graph(n_nodes)\n", |
| 88 | + " print(f'\\n{G.num_bifurcations} bifurcations:')\n", |
| 89 | + "\n", |
| 90 | + " start = time.time()\n", |
| 91 | + " G = make_line_graph(n_nodes)\n", |
| 92 | + " G.make_mesh(n=2)\n", |
| 93 | + " elapsed = time.time()-start\n", |
| 94 | + " for e in G.edges():\n", |
| 95 | + " G.edges()[e]['Res'] = Constant(1)\n", |
| 96 | + " G.edges()[e]['Ainv'] = Constant(1)\n", |
| 97 | + " \n", |
| 98 | + " print(f'Make graphmesh {elapsed:1.4f}s')\n", |
| 99 | + " \n", |
| 100 | + " \n", |
| 101 | + " start = time.time()\n", |
| 102 | + " model = NetworkStokes(G)\n", |
| 103 | + " elapsed = time.time()-start\n", |
| 104 | + " print(f'Make model {elapsed:1.4f}s')\n", |
| 105 | + " \n", |
| 106 | + " \n", |
| 107 | + " start = time.time()\n", |
| 108 | + " a = model.diag_a_form_on_edges()\n", |
| 109 | + " A, b = map(ii_assemble, (a,L))\n", |
| 110 | + " A, b = map(ii_convert, (A,b))\n", |
| 111 | + " elapsed = time.time()-start\n", |
| 112 | + " print(f'*Assemble and convert diag terms in a {elapsed:1.4f}s')\n", |
| 113 | + " \n", |
| 114 | + " \n", |
| 115 | + " start = time.time()\n", |
| 116 | + " a = model.offdiag_a_form_on_edges()\n", |
| 117 | + " A, b = map(ii_assemble, (a,L))\n", |
| 118 | + " A, b = map(ii_convert, (A,b))\n", |
| 119 | + " elapsed = time.time()-start\n", |
| 120 | + " print(f'*Assemble and convert off diag terms in a {elapsed:1.4f}s')\n", |
| 121 | + " \n", |
| 122 | + " \n", |
| 123 | + " start = time.time()\n", |
| 124 | + " a = model.a_form_on_bifs()\n", |
| 125 | + " A, b = map(ii_assemble, (a,L))\n", |
| 126 | + " A, b = map(ii_convert, (A,b))\n", |
| 127 | + " elapsed = time.time()-start\n", |
| 128 | + " print(f'*Assemble and convert bifurcation terms in a {elapsed:1.4f}s')\n", |
| 129 | + " \n", |
| 130 | + " \n", |
| 131 | + " start = time.time()\n", |
| 132 | + " a = model.a_form()\n", |
| 133 | + " L = model.L_form()\n", |
| 134 | + " A, b = map(ii_assemble, (a,L))\n", |
| 135 | + " elapsed = time.time()-start\n", |
| 136 | + " print(f'Assemble all {elapsed:1.4f}s')\n", |
| 137 | + " \n", |
| 138 | + " start = time.time()\n", |
| 139 | + " A, b = map(ii_convert, (A,b))\n", |
| 140 | + " elapsed = time.time()-start\n", |
| 141 | + " print(f'Convert {elapsed:1.4f}s')\n", |
| 142 | + " \n", |
| 143 | + "\n", |
| 144 | + " start = time.time()\n", |
| 145 | + " qp = ii_Function(model.W)\n", |
| 146 | + " solver = LUSolver(A, 'mumps')\n", |
| 147 | + " solver.solve(qp.vector(), b)\n", |
| 148 | + " elapsed = time.time()-start\n", |
| 149 | + " print(f'Solve {elapsed:1.4f}s')" |
| 150 | + ] |
| 151 | + } |
| 152 | + ], |
| 153 | + "metadata": { |
| 154 | + "kernelspec": { |
| 155 | + "display_name": "Python 3", |
| 156 | + "language": "python", |
| 157 | + "name": "python3" |
| 158 | + }, |
| 159 | + "language_info": { |
| 160 | + "codemirror_mode": { |
| 161 | + "name": "ipython", |
| 162 | + "version": 3 |
| 163 | + }, |
| 164 | + "file_extension": ".py", |
| 165 | + "mimetype": "text/x-python", |
| 166 | + "name": "python", |
| 167 | + "nbconvert_exporter": "python", |
| 168 | + "pygments_lexer": "ipython3", |
| 169 | + "version": "3.6.9" |
| 170 | + }, |
| 171 | + "vscode": { |
| 172 | + "interpreter": { |
| 173 | + "hash": "767d51c1340bd893661ea55ea3124f6de3c7a262a8b4abca0554b478b1e2ff90" |
| 174 | + } |
| 175 | + } |
| 176 | + }, |
| 177 | + "nbformat": 4, |
| 178 | + "nbformat_minor": 4 |
| 179 | +} |
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