{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "start_time": "2017-11-02T09:48:41.843Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "import soil\n",
    "import networkx as nx\n",
    " \n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "# To display plots in the notebook\n",
    "%pylab inline\n",
    "\n",
    "from soil import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# News Spreading example with SOIL"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this example we three different kinds of models, which we combine in five types of simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total 288K\r\n",
      "drwxr-xr-x  7 j users 4.0K May 23 12:48 .\r\n",
      "drwxr-xr-x 15 j users  20K May  7 18:59 ..\r\n",
      "-rw-r--r--  1 j users  451 Oct 17  2017 complete.yml\r\n",
      "drwxr-xr-x  2 j users 4.0K Feb 18 11:22 .ipynb_checkpoints\r\n",
      "drwxr-xr-x  2 j users 4.0K Oct 17  2017 long_running\r\n",
      "-rw-r--r--  1 j users 1.2K May 23 12:49 .nbgrader.log\r\n",
      "drwxr-xr-x  4 j users 4.0K May  4 11:23 newsspread\r\n",
      "-rw-r--r--  1 j users 225K May  4 11:23 NewsSpread.ipynb\r\n",
      "drwxr-xr-x  4 j users 4.0K May  4 11:21 rabbits\r\n",
      "-rw-r--r--  1 j users   42 Jul  3  2017 torvalds.edgelist\r\n",
      "-rw-r--r--  1 j users  245 Oct 13  2017 torvalds.yml\r\n",
      "drwxr-xr-x  4 j users 4.0K May  4 11:23 tutorial\r\n"
     ]
    }
   ],
   "source": [
    "!ls "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "start_time": "2017-11-02T09:48:43.440Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---\r\n",
      "default_state: {}\r\n",
      "load_module: newsspread\r\n",
      "environment_agents: []\r\n",
      "environment_params:\r\n",
      "  prob_neighbor_spread: 0.0\r\n",
      "  prob_tv_spread: 0.01\r\n",
      "interval: 1\r\n",
      "max_time: 30\r\n",
      "name: Sim_all_dumb\r\n",
      "network_agents:\r\n",
      "- agent_type: DumbViewer\r\n",
      "  state:\r\n",
      "    has_tv: false\r\n",
      "  weight: 1\r\n",
      "- agent_type: DumbViewer\r\n",
      "  state:\r\n",
      "    has_tv: true\r\n",
      "  weight: 1\r\n",
      "network_params:\r\n",
      "  generator: barabasi_albert_graph\r\n",
      "  n: 500\r\n",
      "  m: 5\r\n",
      "num_trials: 50\r\n",
      "---\r\n",
      "default_state: {}\r\n",
      "load_module: newsspread\r\n",
      "environment_agents: []\r\n",
      "environment_params:\r\n",
      "  prob_neighbor_spread: 0.0\r\n",
      "  prob_tv_spread: 0.01\r\n",
      "interval: 1\r\n",
      "max_time: 30\r\n",
      "name: Sim_half_herd\r\n",
      "network_agents:\r\n",
      "- agent_type: DumbViewer\r\n",
      "  state:\r\n",
      "    has_tv: false\r\n",
      "  weight: 1\r\n",
      "- agent_type: DumbViewer\r\n",
      "  state:\r\n",
      "    has_tv: true\r\n",
      "  weight: 1\r\n",
      "- agent_type: HerdViewer\r\n",
      "  state:\r\n",
      "    has_tv: false\r\n",
      "  weight: 1\r\n",
      "- agent_type: HerdViewer\r\n",
      "  state:\r\n",
      "    has_tv: true\r\n",
      "  weight: 1\r\n",
      "network_params:\r\n",
      "  generator: barabasi_albert_graph\r\n",
      "  n: 500\r\n",
      "  m: 5\r\n",
      "num_trials: 50\r\n",
      "---\r\n",
      "default_state: {}\r\n",
      "load_module: newsspread\r\n",
      "environment_agents: []\r\n",
      "environment_params:\r\n",
      "  prob_neighbor_spread: 0.0\r\n",
      "  prob_tv_spread: 0.01\r\n",
      "interval: 1\r\n",
      "max_time: 30\r\n",
      "name: Sim_all_herd\r\n",
      "network_agents:\r\n",
      "- agent_type: HerdViewer\r\n",
      "  state:\r\n",
      "    has_tv: true\r\n",
      "    id: neutral\r\n",
      "  weight: 1\r\n",
      "- agent_type: HerdViewer\r\n",
      "  state:\r\n",
      "    has_tv: true\r\n",
      "    id: neutral\r\n",
      "  weight: 1\r\n",
      "network_params:\r\n",
      "  generator: barabasi_albert_graph\r\n",
      "  n: 500\r\n",
      "  m: 5\r\n",
      "num_trials: 50\r\n",
      "---\r\n",
      "default_state: {}\r\n",
      "load_module: newsspread\r\n",
      "environment_agents: []\r\n",
      "environment_params:\r\n",
      "  prob_neighbor_spread: 0.0\r\n",
      "  prob_tv_spread: 0.01\r\n",
      "  prob_neighbor_cure: 0.1\r\n",
      "interval: 1\r\n",
      "max_time: 30\r\n",
      "name: Sim_wise_herd\r\n",
      "network_agents:\r\n",
      "- agent_type: HerdViewer\r\n",
      "  state:\r\n",
      "    has_tv: true\r\n",
      "    id: neutral\r\n",
      "  weight: 1\r\n",
      "- agent_type: WiseViewer\r\n",
      "  state:\r\n",
      "    has_tv: true\r\n",
      "  weight: 1\r\n",
      "network_params:\r\n",
      "  generator: barabasi_albert_graph\r\n",
      "  n: 500\r\n",
      "  m: 5\r\n",
      "num_trials: 50\r\n",
      "---\r\n",
      "default_state: {}\r\n",
      "load_module: newsspread\r\n",
      "environment_agents: []\r\n",
      "environment_params:\r\n",
      "  prob_neighbor_spread: 0.0\r\n",
      "  prob_tv_spread: 0.01\r\n",
      "  prob_neighbor_cure: 0.1\r\n",
      "interval: 1\r\n",
      "max_time: 30\r\n",
      "name: Sim_all_wise\r\n",
      "network_agents:\r\n",
      "- agent_type: WiseViewer\r\n",
      "  state:\r\n",
      "    has_tv: true\r\n",
      "    id: neutral\r\n",
      "  weight: 1\r\n",
      "- agent_type: WiseViewer\r\n",
      "  state:\r\n",
      "    has_tv: true\r\n",
      "  weight: 1\r\n",
      "network_params:\r\n",
      "  generator: barabasi_albert_graph\r\n",
      "  n: 500\r\n",
      "  m: 5\r\n",
      "network_params:\r\n",
      "  generator: barabasi_albert_graph\r\n",
      "  n: 500\r\n",
      "  m: 5\r\n",
      "num_trials: 50\r\n"
     ]
    }
   ],
   "source": [
    "!cat newsspread/NewsSpread.yml"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "start_time": "2017-11-02T09:48:43.879Z"
    }
   },
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "No objects to concatenate",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m----------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mValueError\u001b[0m                           Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-10-bae848826594>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mevodumb\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0manalysis\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread_data\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'soil_output/Sim_all_dumb/'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgroup\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mprocess\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0manalysis\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_count\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkeys\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'id'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m;\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m~/git/lab.gsi/soil/soil/soil/analysis.py\u001b[0m in \u001b[0;36mread_data\u001b[0;34m(group, *args, **kwargs)\u001b[0m\n\u001b[1;32m     11\u001b[0m     \u001b[0miterable\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_read_data\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     12\u001b[0m     \u001b[0;32mif\u001b[0m \u001b[0mgroup\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 13\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mgroup_trials\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0miterable\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     14\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     15\u001b[0m         \u001b[0;32mreturn\u001b[0m \u001b[0mlist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0miterable\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/git/lab.gsi/soil/soil/soil/analysis.py\u001b[0m in \u001b[0;36mgroup_trials\u001b[0;34m(trials, aggfunc)\u001b[0m\n\u001b[1;32m    159\u001b[0m     \u001b[0mtrials\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtrials\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    160\u001b[0m     \u001b[0mtrials\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmap\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mlambda\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtuple\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtrials\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 161\u001b[0;31m     \u001b[0;32mreturn\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconcat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtrials\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgroupby\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlevel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0magg\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0maggfunc\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreorder_levels\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m,\u001b[0m\u001b[0maxis\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    162\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    163\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/.local/lib/python3.6/site-packages/pandas/core/reshape/concat.py\u001b[0m in \u001b[0;36mconcat\u001b[0;34m(objs, axis, join, join_axes, ignore_index, keys, levels, names, verify_integrity, copy)\u001b[0m\n\u001b[1;32m    210\u001b[0m                        \u001b[0mkeys\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mkeys\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlevels\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mlevels\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnames\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mnames\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    211\u001b[0m                        \u001b[0mverify_integrity\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mverify_integrity\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 212\u001b[0;31m                        copy=copy)\n\u001b[0m\u001b[1;32m    213\u001b[0m     \u001b[0;32mreturn\u001b[0m \u001b[0mop\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_result\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    214\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/.local/lib/python3.6/site-packages/pandas/core/reshape/concat.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, objs, axis, join, join_axes, keys, levels, names, ignore_index, verify_integrity, copy)\u001b[0m\n\u001b[1;32m    243\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    244\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mobjs\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 245\u001b[0;31m             \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'No objects to concatenate'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    246\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    247\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mkeys\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mValueError\u001b[0m: No objects to concatenate"
     ]
    }
   ],
   "source": [
    "evodumb = analysis.read_data('soil_output/Sim_all_dumb/', group=True, process=analysis.get_count, keys=['id']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "ExecuteTime": {
     "start_time": "2017-11-02T09:48:45.458Z"
    }
   },
   "outputs": [],
   "source": [
    "evodumb['mean'].plot(yerr=evodumb['std'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-11-01T13:26:19.361423Z",
     "start_time": "2017-11-01T14:25:57.017418+01:00"
    }
   },
   "outputs": [],
   "source": [
    "evodumb = analysis.read_data('soil_output/Sim_all_dumb/', group=True, process=analysis.get_count, keys=['id']);\n",
    "evohalfherd = analysis.read_data('soil_output/Sim_half_herd/', group=True, process=analysis.get_count, keys=['id'])\n",
    "evoherd = analysis.read_data('soil_output/Sim_all_herd/', group=True, process=analysis.get_count, keys=['id'])\n",
    "evoherdwise = analysis.read_data('soil_output/Sim_wise_herd/', group=True, process=analysis.get_count, keys=['id'])\n",
    "evowise = analysis.read_data('soil_output/Sim_all_wise/', group=True, process=analysis.get_count, keys=['id'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-11-01T13:26:20.461665Z",
     "start_time": "2017-11-01T14:26:19.363815+01:00"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEKCAYAAAD+XoUoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niEiAKPRFRALk/wN2rsCB356VQwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa48c26df98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEKCAYAAAD+XoUoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa48c26d668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEKCAYAAAD+XoUoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa460c6c320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEKCAYAAAD+XoUoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa460d184e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEKCAYAAAD+XoUoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa46017c0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in [evodumb, evohalfherd, evoherd, evoherdwise, evowise]:\n",
    "    i['mean'].plot(yerr=i['std'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-11-01T13:27:56.226662Z",
     "start_time": "2017-11-01T14:27:55.987887+01:00"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2IAAAEXCAYAAADP3/fJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMxGTJEmSpJaZiEmSJElSy/4PDTIOHCj38kMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa46019e748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diff = evodumb['mean']-evohalfherd['mean']\n",
    "m = evodumb['max'].loc[0].sum()\n",
    "diff = diff / m\n",
    "diff.plot(yerr=(evodumb['std']+evoherd['std'])/m,\n",
    "          title='Comparing the Herd and Dumb behaviours: normalized difference and error in number of agents in each state when using 50% herd agents.');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-11-01T13:28:05.554284Z",
     "start_time": "2017-11-01T14:28:05.324360+01:00"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2oAAAEXCAYAAADcCLc9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSVKVMahJkiRJUpX5PyHeewauSb+8AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa45f75d978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diff = evodumb['mean']-evoherd['mean']\n",
    "m = evodumb['max'].loc[0].sum()\n",
    "diff = diff / m\n",
    "diff.plot(yerr=(evodumb['std']+evoherd['std'])/m,\n",
    "          title='Comparing the Herd and Dumb behaviours: normalized difference and error in number of agents in each state when using 100% herd agents.');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-11-01T13:32:12.118102Z",
     "start_time": "2017-11-01T14:32:11.479970+01:00"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa45f950e10>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEKCAYAAAAW8vJGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMUVYYjDGGFPE/wN3GX2TzrxUPAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa460d17c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEKCAYAAAAW8vJGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n8/8U7UznepyQDQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa45f8fd4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAY0AAAEKCAYAAADuEgmxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa460444588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "(evohalfherd['std']/m).plot()\n",
    "(evodumb['std']/m).plot()\n",
    "(evowise['std']/m).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "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": "3.8.5"
  },
  "toc": {
   "colors": {
    "hover_highlight": "#DAA520",
    "navigate_num": "#000000",
    "navigate_text": "#333333",
    "running_highlight": "#FF0000",
    "selected_highlight": "#FFD700",
    "sidebar_border": "#EEEEEE",
    "wrapper_background": "#FFFFFF"
   },
   "moveMenuLeft": true,
   "nav_menu": {
    "height": "30px",
    "width": "252px"
   },
   "navigate_menu": true,
   "number_sections": true,
   "sideBar": true,
   "threshold": 4,
   "toc_cell": false,
   "toc_section_display": "block",
   "toc_window_display": false,
   "widenNotebook": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
