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{
"worksheets": [
{
"cells": [
{
"metadata": {},
"input": "import json\nimport time\nimport matplotlib\n%matplotlib inline\n\n\nimport matplotlib.pyplot as plt\nimport numpy as np\n\nLEGEND_UPPER_RIGHT = 1\nLEGEND_CENTER_RIGHT = 7",
"cell_type": "code",
"prompt_number": 69,
"outputs": [],
"language": "python",
"collapsed": false
},
{
"metadata": {},
"input": "# data = json.load(open(\"data.json\", 'r'))\n\nsizes = ['0.1', '0.5', '1', '2', '3', '4', '5', '7', '10', '15', '20', '100']\nprint ['data.json.%s' % (x,) for x in sizes]\nvaryRadiusData = [json.load(open(\"data.json.%s\" % (x,))) for x in sizes]\n",
"cell_type": "code",
"prompt_number": 41,
"outputs": [
{
"output_type": "stream",
"text": "['data.json.0.1', 'data.json.0.5', 'data.json.1', 'data.json.2', 'data.json.3', 'data.json.4', 'data.json.5', 'data.json.7', 'data.json.10', 'data.json.15', 'data.json.20', 'data.json.100']\n",
"stream": "stdout"
},
{
"output_type": "pyout",
"prompt_number": 41,
"text": "{u'ENCOUNTER_CHANCE': 0.05,\n u'NEIGHBORHOOD_RADIUS': 0.1,\n u'NUMBER_OF_PEOPLE': 50,\n u'maxTimeSeen': 1213089346000.0,\n u'minTimeSeen': 1211018404000.0,\n u'propagationData': {u'1.211018404E12': 1,\n u'1.212451059E12': 2,\n u'1.212513915E12': 3}}",
"metadata": {}
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {},
"input": "def getTimeHeardFromPropagationData(data):\n dataTuples = data.items()\n dataTuples.sort(key=lambda z: z[1])\n \n # Convert time into hours.\n time = [float(x[0]) for x in dataTuples]\n time = [x - min(time) for x in time]\n time = [x/1000/60/60 for x in time]\n \n heard = [x[1] for x in dataTuples]\n \n return (time, heard)\n # print time\n # print heard\n\ndef convertHeardToPercentage(heard, numPeople):\n heard = [x/float(numPeople) for x in heard]\n return heard\n ",
"cell_type": "code",
"prompt_number": 48,
"outputs": [],
"language": "python",
"collapsed": false
},
{
"metadata": {},
"cell_type": "heading",
"source": "Here There Be Figures",
"level": 1
},
{
"metadata": {},
"cell_type": "heading",
"source": "Varying Communication Radius",
"level": 2
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Here we **vary the effective WiFi radius** within which two nodes must be of each other in order to communicate **between 1 meter and 100 meters.**\n\nAt 1 meter, around 15% of nodes ever learn of the message after 20 days.\n\nAt the reasonable value of 10 meters, all 50 nodes learn about the message within tens of hours.\n"
},
{
"metadata": {},
"input": "fig = plt.figure(figsize=(13,5))\nfor output in varyRadiusData:\n if output['NEIGHBORHOOD_RADIUS'] < 1:\n continue\n time, heard = getTimeHeardFromPropagationData(output['propagationData'])\n heard = convertHeardToPercentage(heard, output['NUMBER_OF_PEOPLE'])\n plt.plot(time, heard, linewidth=2, label='%.1fm' % (output['NEIGHBORHOOD_RADIUS'],))\nplt.xlabel('Time (hours)', fontsize=20)\nplt.ylabel('% Propagation', fontsize= 20)\nplt.legend(loc=LEGEND_CENTER_RIGHT)\n\n",
"cell_type": "code",
"prompt_number": 70,
"outputs": [
{
"output_type": "pyout",
"prompt_number": 70,
"text": "<matplotlib.legend.Legend at 0x10913efd0>",
"metadata": {}
},
{
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x1091691d0>",
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PcHH2rHrdv79HzQ8UHQBg4oCJfOD4G34hG2pXV1cDEBER0fkXaYfZnEdBwavk5/+dxsY8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\nLkb4HeWfb66ydjGEE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"metadata": {}
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {},
"cell_type": "heading",
"source": "First Attempt (Look above for more interesting stuff :)",
"level": 2
},
{
"metadata": {},
"cell_type": "markdown",
"source": "*This is the first try; better stuff up above.*\n\nHere we have the first 16 hours of propagation, given the following parameters:\n\n* 50 \"people\".\n* Cabspotting dataset (each \"person\" is a cab in SF).\n* A single message.\n* Contact is possible between people that come within 26-33 meters of each other.\n* On any timestep where nodes are within the contacting-radius, they have a 1% chance of exchanging information.\n* Timesteps occur once per datapoint in the cabspotting dataset, so they might be oddly distributed sometimes."
},
{
"metadata": {},
"input": "plt.plot(time[:48], heard[:48])\nplt.xlabel('Time (hours)', fontsize=20)\nplt.ylabel('% Propagation', fontsize= 20)",
"cell_type": "code",
"prompt_number": 30,
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 30,
"text": "<matplotlib.text.Text at 0x1067b6910>"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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kpKQYn1qIStq1S92jfP16KRxCVCeDL1tFRUXh7e1NZGSkftl1Z2dn+vTpQ58+fRg2bBgP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\nUjyEEEIYTYqHEEIIo/1/IjbtIllvk/IAAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x106614cd0>"
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Same plot, zoomed out.\n\n\nSame conditions as above, but showing the entire ~week it took for the message to reach all 50 cabs."
},
{
"metadata": {},
"input": "plt.plot(time, heard)\nplt.xlabel('Time (hours)', fontsize=20)\nplt.ylabel('% Propagation', fontsize= 20)",
"cell_type": "code",
"prompt_number": 31,
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 31,
"text": "<matplotlib.text.Text at 0x107048290>"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ccrkcM2fOxOnTp/H888/rK7tahGAxISLSNbVOAE2dOhUXL16En58fxowZg5df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\nxmJCREQaYzEhIiKN/X+31OBBMYwNPwAAAABJRU5ErkJggg==\n",
"text": "<matplotlib.figure.Figure at 0x106706750>"
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {},
"input": " ",
"cell_type": "code",
"outputs": [],
"language": "python",
"collapsed": false
}
],
"metadata": {}
}
],
"metadata": {
"gist_id": "11445770",
"name": "Maximum possible propagation, alpha version"
},
"nbformat": 3
}
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