From 9c3c92aba9320dcc5177aea8b85a3520318b2c2f Mon Sep 17 00:00:00 2001 From: Thomas Date: Fri, 29 Jul 2016 14:47:11 -0400 Subject: [PATCH 1/2] Update percolation ipynb and png folder --- .DS_Store | Bin 6148 -> 6148 bytes ipynb/Percolation theory.ipynb | 186 +++++++++--------- png/.DS_Store | Bin 0 -> 6148 bytes png/S2_size_alpha.png | Bin 0 -> 30165 bytes png/S2_size_budget.png | Bin 0 -> 35391 bytes png/S2_size_ex.png | Bin 0 -> 15371 bytes py/__pycache__/centrality_pcc.cpython-35.pyc | Bin 2522 -> 2533 bytes ...lation_threshold_simulation.cpython-35.pyc | Bin 7677 -> 8343 bytes .../simulated_annealing_algo.cpython-35.pyc | Bin 12982 -> 12993 bytes 9 files changed, 92 insertions(+), 94 deletions(-) create mode 100644 png/.DS_Store create mode 100644 png/S2_size_alpha.png create mode 100644 png/S2_size_budget.png create mode 100644 png/S2_size_ex.png diff --git a/.DS_Store b/.DS_Store index 31230a93f68744afed922eacc15f70e484634c8f..6aef81658b80da3276e00c0629a7928020756132 100644 GIT binary patch delta 115 zcmZoMXfc@J&nUVvU^g?P=w=?4$Bd!O3nr`3~!0#?9;;fB6A#Z5;Oi delta 36 scmZoMXfc@J&nUPtU^g?P;AS3{$BdKn*;qHnu&rjC*pRWAo#QV*0M^V4=Kufz diff --git a/ipynb/Percolation theory.ipynb b/ipynb/Percolation theory.ipynb index 281aef6..ec3ea7e 100644 --- a/ipynb/Percolation theory.ipynb +++ b/ipynb/Percolation theory.ipynb @@ -2,9 +2,9 @@ "cells": [ { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": { - "collapsed": true + "collapsed": false }, "outputs": [], "source": [ @@ -15,6 +15,7 @@ "import random\n", "\n", "import sys\n", + "import os\n", "upper_path = os.path.abspath(os.path.join(os.path.dirname( \"__file__\" ), '..'))\n", "path_add = os.path.join(upper_path, \"py/\")\n", "path_png = os.path.join(upper_path, \"png/\")\n", @@ -27,7 +28,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": { "collapsed": true }, @@ -38,7 +39,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -58,7 +59,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -84,7 +85,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 22, "metadata": { "collapsed": false }, @@ -103,8 +104,11 @@ "for i in range(size):\n", " for j in range(i+1, size):\n", " G.add_edge(i, j, weight=Distance_Matrix[i][j])\n", - " \n", + "\n", "T0 = nx.minimum_spanning_tree(G)\n", + "from networkx.classes.function import set_edge_attributes\n", + "for i,j in T0.edges():\n", + " T0.edge[i][j][\"flow\"] = np.random.normal()\n", "T = T0.copy()" ] }, @@ -117,7 +121,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 23, "metadata": { "collapsed": false }, @@ -128,7 +132,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 24, "metadata": { "collapsed": false }, @@ -146,7 +150,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 25, "metadata": { "collapsed": true }, @@ -157,7 +161,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 26, "metadata": { "collapsed": false, "scrolled": true @@ -174,20 +178,7 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "from networkx.classes.function import set_edge_attributes\n", - "for i,j in T.edges():\n", - " T.edge[i][j][\"flow\"] = np.random.normal()" - ] - }, - { - "cell_type": "code", - "execution_count": 11, + "execution_count": 27, "metadata": { "collapsed": false }, @@ -198,16 +189,16 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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A4GC4+vpC06cPXH19geBg6BISYDKZpC7RJoQQ0CcmQhMUBJcboQ4oPmKuSlwc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\nCt29K+ALYwAAAABJRU5ErkJggg==\n", 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GI8zZ2TCbzZgxYwZee+01GAwGDBo0yOm1qNVqTJgwAb/99hsefvhhDB06FCNG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\nRK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -252,7 +243,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 29, "metadata": { "collapsed": true }, @@ -263,7 +254,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 30, "metadata": { "collapsed": false }, @@ -275,30 +266,21 @@ " \n", "resolution = 100\n", "x = list(range(resolution))\n", - "q_l = power_spaced(0,1, n_sample=100, power=5)" + "#q_l = power_spaced(0,1, n_sample=100, power=5)" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 47, "metadata": { - "collapsed": true + "collapsed": false }, "outputs": [ { - "ename": "KeyError", - "evalue": "'flow'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mKeyError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 4\u001b[0m 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65\u001b[0m \u001b[0msize\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgraph\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 66\u001b[0;31m \u001b[0mflow_mat\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mflow_matrix\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgraph\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mflow_str\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mflow_str\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 67\u001b[0m \u001b[0mremove_edge_probability\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0medges_overload_failure_prob\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgraph\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mflow_mat\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mq\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 68\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/Users/Thomas/Documents/BlocPower/Microgrids/Simulation/py/percolation_threshold_simulation.py\u001b[0m in 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\u001b[0;32mreturn\u001b[0m \u001b[0mflow_mat\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mKeyError\u001b[0m: 'flow'" + "name": "stdout", + "output_type": "stream", + "text": [ + "Execution time: 13.393764 minutes\n" ] } ], @@ -306,46 +288,46 @@ "import time\n", "\n", "graph = T0.copy()\n", - "monte_carlo_n = 100\n", + "monte_carlo_n = 1000\n", "start = time.clock()\n", - "size_l = simulate_montecarlo(n_sim=n_sim, graph=g, q_l=q_l)[1]\n", - "print(\"Execution time: %f minutes\" % ((time.clock() - start)/60))" + "size_l = simulate_montecarlo(n_sim=monte_carlo_n, graph=graph, q_l=q_l)[1]" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 48, "metadata": { "collapsed": true }, "outputs": [], "source": [ - "?simulate_montecarlo" + "#?simulate_montecarlo" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 49, "metadata": { "collapsed": false }, - "outputs": [], - "source": [ - "size_l = np.mean(size_q_l, axis=0)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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GgWIQb75YLWW2lGmV7ToJACQNY4wUHiSvz0Dp0+Xy//4X2X88K3PmBTLHnJhU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\nGAAAgCiKAQAAiKIYAACAqP8PsczmWvZMEp8AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure(figsize=(8,8))\n", "plt.plot(q_l[:50], size_l[:50])\n", "plt.xlabel(r'$ q $', fontsize=16)\n", "plt.ylabel(\"$S_2$\", fontsize=16)\n", + "plt.savefig(path_png + \"S2_size_ex.png\")\n", "plt.show()" ] }, @@ -358,7 +340,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 34, "metadata": { "collapsed": false }, @@ -385,18 +367,35 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 50, "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "101 2\n", + "Execution time: 9.817676 minutes\n", + "103 4\n", + "Execution time: 10.873234 minutes\n", + "105 6\n", + "Execution time: 17.124244 minutes\n", + "107 8\n", + "Execution time: 14.627664 minutes\n", + "109 10\n", + "Execution time: 13.889850 minutes\n" + ] + } + ], "source": [ "def power_spaced(start, end, power=2, n_sample=50):\n", " l = np.linspace(start ** (1/power), end ** (1/power), num=n_sample)\n", " return [i ** power for i in l]\n", "\n", - "n_sim = 100\n", - "q_l = power_spaced(0,1, n_sample=100, power=5)\n", + "n_sim = 1000\n", + "#q_l = power_spaced(0,1, n_sample=100, power=5)\n", "y_d = {}\n", "for b in budget_l:\n", " print(len(graph_budget_d[b].edges()), b)\n", @@ -410,7 +409,18 @@ "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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ZSZ8+fTh79ixffPGFrzDDjTfe6NeJUP5OE2hHJ5SuRhmtO0Xw5MmT9Wphm6V3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LAAAF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\nQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# For now results inconclusive as non optimized networks\n", "plt.style.use(\"ggplot\")\n", @@ -421,6 +431,7 @@ "plt.xlabel(r'$ q $', fontsize=16)\n", "plt.ylabel(\"$S_2$\", fontsize=16)\n", "plt.legend()\n", + "plt.savefig(path_png + \"S2_size_budget.png\")\n", "plt.show()" ] }, @@ -433,7 +444,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 37, "metadata": { "collapsed": false }, @@ -461,7 +472,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "metadata": { "collapsed": false }, @@ -471,15 +482,12 @@ "output_type": "stream", "text": [ "101 0\n", - "Execution time: 1.379677 minutes\n", + "Execution time: 9.277769 minutes\n", "101 1\n", - "Execution time: 1.350536 minutes\n", + "Execution time: 13.355763 minutes\n", "101 2\n", - "Execution time: 1.278602 minutes\n", - "101 3\n", - "Execution time: 0.847643 minutes\n", - "101 4\n", - "Execution time: 1.224203 minutes\n" + "Execution time: 8.562537 minutes\n", + "101 3\n" ] } ], @@ -488,8 +496,8 @@ " l = np.linspace(start ** (1/power), end ** (1/power), num=n_sample)\n", " return [i ** power for i in l]\n", "\n", - "n_sim = 100\n", - "q_l = power_spaced(0,1, n_sample=100, power=5)\n", + "n_sim = 1000\n", + "#q_l = power_spaced(0,1, n_sample=100, power=5)\n", "y_d = {}\n", "for a in alpha_l:\n", " print(len(graph_alpha_d[a].edges()), a)\n", @@ -499,22 +507,11 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "metadata": { "collapsed": false }, - "outputs": [ - { - "data": { - "image/png": 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DIY0MiIjI+OD7MOBltyNO/6xpAhERkZ78XzPgpYNAJgTkWkCoY4xFZDyy1lJS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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# For now results inconclusive as non optimized networks\n", "plt.style.use(\"ggplot\")\n", @@ -525,6 +522,7 @@ "plt.xlabel(r'$ q $', fontsize=16)\n", "plt.ylabel(\"$S_2$\", fontsize=16)\n", "plt.legend()\n", + "plt.savefig(path_png + \"S2_size_alpha.png\")\n", "plt.show()" ] }, diff --git a/png/.DS_Store b/png/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..5008ddfcf53c02e82d7eee2e57c38e5672ef89f6 GIT binary patch literal 6148 zcmeH~Jr2S!425mzP>H1@V-^m;4Wg<&0T*E43hX&L&p$$qDprKhvt+--jT7}7np#A3 zem<@ulZcFPQ@L2!n>{z**++&mCkOWA81W14cNZlEfg7;MkzE(HCqgga^y>{tEnwC%0;vJ&^%eQ zLs35+`xjp>T0wayVo#5EK-Z90bHb&fyRwBZyu>kSGcw2oeMdl0ij@ zl5yrJ>6@~%JRr-WY^1DQRJw0wZ4Lo<`DZJo|p0`q5T8!r0)x&+~_hNta zPRzX+2=4Z7n9!bB>8m{FqT)Hk*TK0JERt7idt>KaaBY}y0TFE_Kf!S|{@u4UZxi*u z3}w9D-06_i)CiV*_+h?l+)uUZn{)E(6Pv%NUnvLGPp#}6F)=k&*V59uuc1{;!OhFd 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theory.ipynb | 24 +++++++++++++++++++----- png/S2_size_alpha.png | Bin 30165 -> 29589 bytes 2 files changed, 19 insertions(+), 5 deletions(-) diff --git a/ipynb/Percolation theory.ipynb b/ipynb/Percolation theory.ipynb index ec3ea7e..9b8122c 100644 --- a/ipynb/Percolation theory.ipynb +++ b/ipynb/Percolation theory.ipynb @@ -405,7 +405,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 51, "metadata": { "collapsed": false }, @@ -472,7 +472,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 52, "metadata": { "collapsed": false }, @@ -487,7 +487,10 @@ "Execution time: 13.355763 minutes\n", "101 2\n", "Execution time: 8.562537 minutes\n", - "101 3\n" + "101 3\n", + "Execution time: 12.101872 minutes\n", + "101 4\n", + "Execution time: 12.783174 minutes\n" ] } ], @@ -507,11 +510,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 53, "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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ERKSasA0DiqIERRhISEhAVFQU6urqVK2DiIjCV9iGAVEUodfrodOp/4+ACwmJ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\nOp3m+PHjRCIRDhw4wObNm+nv76e0tJSKigrKysooLS2ltLR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