How_To_Create_Clusters.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "   # CLUSTERING ALGORITHM FOR WIRELESS SENSORY NODES FOR DISTRIBUTED COMPUTATION OF DRQN\n",
    "   \n",
    "   ### This algo works in following way:\n",
    "   #### 1] Pick a random node from the set.\n",
    "   #### 2] This node connects to the nearest 3 neighbors.\n",
    "   #### 3] Set the virtual distance to infinity for these nodes.\n",
    "   #### 4] Repeat step 2 and step 3 untill all the nodes are assigned.\n",
    "  \n",
    "  ### There are two methods to execute this; DFS and BFS\n",
    "  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import random \n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import operator\n",
    "from collections import deque"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## set parameters here: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "nodes = 10 #number of nodes on the canvas\n",
    "infi = 10000 #infinity: set this value more than W* root(2) i.e. max possible distance on canvas\n",
    "W = 80 #width of the canvas\n",
    "CoverageRadius = 6 #coverage radius of a node, this is not taken into computation but used for plotting \n",
    "PosOfNodes = [] #creates list of nodes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## function : generate_nodes on random positions on canvas of width 'W'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def generate_nodes():\n",
    "    for i in range((nodes)):\n",
    "        x = random.randint(0,W)\n",
    "        y = random.randint(0,W)\n",
    "        pnt = (x,y)\n",
    "        PosOfNodes.append(pnt)\n",
    "        \n",
    "    print(PosOfNodes)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(80, 58), (46, 31), (41, 48), (5, 20), (37, 27), (27, 37), (25, 64), (67, 9), (67, 58), (17, 39)]\n"
     ]
    }
   ],
   "source": [
    "generate_nodes()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Run the cell below to generate a StartNode which act as propogating point of clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "StartNode = random.randint(1,nodes)\n",
    "StartNode"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Function : convert list of points to dictionary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def generate_position_dict():\n",
    "    positions = dict()\n",
    "    for i in PosOfNodes:\n",
    "        p = dict()\n",
    "        for j in PosOfNodes:\n",
    "            if i[0] == j[0]:\n",
    "                p[j[1]] = 0\n",
    "        positions[i[0]] = p\n",
    "    \n",
    "    print(positions)\n",
    "    \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## function call : generate_position_dict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{80: {58: 0}, 17: {39: 0}, 67: {9: 0, 58: 0}, 5: {20: 0}, 25: {64: 0}, 41: {48: 0}, 27: {37: 0}, 46: {31: 0}, 37: {27: 0}}\n"
     ]
    }
   ],
   "source": [
    "generate_position_dict()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Function : plot fully connected graph for all nodes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def plot_fc():\n",
    "    N = nodes\n",
    "    x = np.zeros(N)\n",
    "    y = np.zeros(N)\n",
    "    for i in range(nodes):\n",
    "        x[i] = PosOfNodes[i][0]\n",
    "        y[i] = PosOfNodes[i][1]\n",
    "\n",
    "    colors = np.random.rand(N)\n",
    "    area = (CoverageRadius*2)**2  # 0 to 15 point radii\n",
    "\n",
    "\n",
    "\n",
    "    for i in PosOfNodes:\n",
    "        plt.text(i[0],i[1],i)\n",
    "        for j in PosOfNodes:\n",
    "            plt.plot([i[0], j[0]], [i[1], j[1]],'black',lw='0.01')\n",
    "\n",
    "    #print(PosOfNodes[2],PosOfNodes[3])\n",
    "    #plt.plot([PosOfNodes[2][0], PosOfNodes[3][0]], [PosOfNodes[2][1], PosOfNodes[3][1]])\n",
    "    plt.scatter(x, y, s=area, c=colors, alpha=0.5)\n",
    "    plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## plots fully connected graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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l/i9EprE/xm3G1TPriqNHj5KVlcWePXvquisxUVFRQefOnVm/fn30nU/R0K9ZUZRkRVF2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dAAAT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\nQASBIAiCIAiIIBAEQRAEAfj/AZwSDy6mBtBpAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23ed3cbb5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_fc()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "q = deque()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def dist(a,b):\n",
    "    return ((a[0]-b[0])**2 + (a[1]-b[1])**2) ** (1/2.0) \n",
    "\n",
    "# a and b are in form of:\n",
    "#a = (3,4)\n",
    "#b = (5,8)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## function : create distance matrix "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "distance_matrix = {}\n",
    "row = {}\n",
    "\n",
    "def create_dist_mat(PosOfNodes):\n",
    "    print(PosOfNodes)\n",
    "    for i in PosOfNodes:\n",
    "        print(i)\n",
    "        row = {}\n",
    "        for j in PosOfNodes:\n",
    "            row[j] = dist(i,j)\n",
    "        distance_matrix[i] = row\n",
    "        \n",
    "    print(distance_matrix)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## function call : create_dist_mat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(80, 58), (46, 31), (41, 48), (5, 20), (37, 27), (27, 37), (25, 64), (67, 9), (67, 58), (17, 39)]\n",
      "(80, 58)\n",
      "(46, 31)\n",
      "(41, 48)\n",
      "(5, 20)\n",
      "(37, 27)\n",
      "(27, 37)\n",
      "(25, 64)\n",
      "(67, 9)\n",
      "(67, 58)\n",
      "(17, 39)\n",
      "{(5, 20): {(5, 20): 0.0, (25, 64): 48.33218389437829, (46, 31): 42.44997055358225, (80, 58): 84.07734534343957, (17, 39): 22.47220505424423, (37, 27): 32.7566787083184, (67, 58): 72.71863585079137, (27, 37): 27.80287754891569, (67, 9): 62.96824596572466, (41, 48): 45.60701700396552}, (25, 64): {(5, 20): 48.33218389437829, (25, 64): 0.0, (46, 31): 39.11521443121589, (80, 58): 55.326304774492215, (17, 39): 26.248809496813376, (37, 27): 38.897300677553446, (67, 58): 42.42640687119285, (27, 37): 27.073972741361768, (67, 9): 69.20260110718382, (41, 48): 22.627416997969522}, (46, 31): {(5, 20): 42.44997055358225, (25, 64): 39.11521443121589, (46, 31): 0.0, (80, 58): 43.41658669218482, (17, 39): 30.083217912982647, (37, 27): 9.848857801796104, (67, 58): 34.20526275297414, (27, 37): 19.924858845171276, (67, 9): 30.4138126514911, (41, 48): 17.72004514666935}, (80, 58): {(5, 20): 84.07734534343957, (25, 64): 55.326304774492215, (46, 31): 43.41658669218482, (80, 58): 0.0, (17, 39): 65.80273550544841, (37, 27): 53.009433122794285, (67, 58): 13.0, (27, 37): 57.0087712549569, (67, 9): 50.695167422546305, (41, 48): 40.26164427839479}, (17, 39): {(5, 20): 22.47220505424423, (25, 64): 26.248809496813376, (46, 31): 30.083217912982647, (80, 58): 65.80273550544841, (17, 39): 0.0, (37, 27): 23.323807579381203, (67, 58): 53.48831648126533, (27, 37): 10.198039027185569, (67, 9): 58.309518948453004, (41, 48): 25.632011235952593}, (37, 27): {(5, 20): 32.7566787083184, (25, 64): 38.897300677553446, (46, 31): 9.848857801796104, (80, 58): 53.009433122794285, (17, 39): 23.323807579381203, (37, 27): 0.0, (67, 58): 43.139309220245984, (27, 37): 14.142135623730951, (67, 9): 34.9857113690718, (41, 48): 21.37755832643195}, (67, 58): {(5, 20): 72.71863585079137, (25, 64): 42.42640687119285, (46, 31): 34.20526275297414, (80, 58): 13.0, (17, 39): 53.48831648126533, (37, 27): 43.139309220245984, (67, 58): 0.0, (27, 37): 45.17742799230607, (67, 9): 49.0, (41, 48): 27.85677655436824}, (27, 37): {(5, 20): 27.80287754891569, (25, 64): 27.073972741361768, (46, 31): 19.924858845171276, (80, 58): 57.0087712549569, (17, 39): 10.198039027185569, (37, 27): 14.142135623730951, (67, 58): 45.17742799230607, (27, 37): 0.0, (67, 9): 48.82622246293481, (41, 48): 17.804493814764857}, (67, 9): {(5, 20): 62.96824596572466, (25, 64): 69.20260110718382, (46, 31): 30.4138126514911, (80, 58): 50.695167422546305, (17, 39): 58.309518948453004, (37, 27): 34.9857113690718, (67, 58): 49.0, (27, 37): 48.82622246293481, (67, 9): 0.0, (41, 48): 46.87216658103186}, (41, 48): {(5, 20): 45.60701700396552, (25, 64): 22.627416997969522, (46, 31): 17.72004514666935, (80, 58): 40.26164427839479, (17, 39): 25.632011235952593, (37, 27): 21.37755832643195, (67, 58): 27.85677655436824, (27, 37): 17.804493814764857, (67, 9): 46.87216658103186, (41, 48): 0.0}}\n"
     ]
    }
   ],
   "source": [
    "create_dist_mat(PosOfNodes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## set values of cluster_assigned and cluster_head to 1 with length of nodes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "cluster_head = np.ones(nodes)\n",
    "cluster_assigned = np.ones(nodes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## set value of StartNode to infinity (this positions the node to virtually infinite distance)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def reset():\n",
    "    cluster_head = np.ones(nodes)\n",
    "    cluster_assigned = np.ones(nodes)\n",
    "    \n",
    "    cluster_head[StartNode] = infi\n",
    "    cluster_assigned[StartNode] = infi\n",
    "\n",
    "    #cluster_assigned, cluster_head\n",
    "    \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "reset()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "sums = 0\n",
    "cluster = {}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def connect_dfs(q,sums):\n",
    "    \n",
    "    check_it = (infi*nodes)\n",
    "    if(int(sums) == int(check_it)):\n",
    "           return None\n",
    "    print(check_it)\n",
    "    while(len(q)>0):\n",
    "        \n",
    "        var = q.popleft()\n",
    "        print(var)\n",
    "        connected = deque()\n",
    "        #sorted_x = sorted(distance_matrix[var].items(), key=operator.itemgetter(1))\n",
    "        d = {}\n",
    "        for i in range(nodes):\n",
    "            d[i] = distance_matrix[PosOfNodes[var]][PosOfNodes[i]]\n",
    "        #print(d)  \n",
    "        \n",
    "        for i in range(nodes):\n",
    "            d[i] = d[i] * cluster_assigned[i]\n",
    "        #print(d)\n",
    "        \n",
    "        sorted_x = sorted(d.items(), key=operator.itemgetter(1))\n",
    "        #print(sorted_x)\n",
    "        \n",
    "        connected.append(sorted_x[1][0])\n",
    "        connected.append(sorted_x[2][0])\n",
    "        connected.append(sorted_x[3][0])\n",
    "        cluster[var] = list(connected)\n",
    "        cluster_assigned[sorted_x[1][0]] = infi\n",
    "        cluster_assigned[sorted_x[2][0]] = infi\n",
    "        cluster_assigned[sorted_x[3][0]] = infi\n",
    "        print(cluster_assigned)\n",
    "        sums = np.sum(cluster_assigned)\n",
    "        print(connected)\n",
    "        print('sums',sums)\n",
    "        if(int(sums) == int(check_it)):\n",
    "           break\n",
    "        connect_dfs(connected,sums)\n",
    "        \n",
    "    \n",
    "    return sums\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "deque([8])"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q.append(StartNode)\n",
    "q"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def connect_bfs(q):\n",
    "    sums = 0\n",
    "    check_it = float(infi*nodes)\n",
    "    print('check_it',check_it)\n",
    "    var = 0\n",
    "    print('len of q', len(q))\n",
    "    while(len(q)>0):\n",
    "        print('bfs')\n",
    "        connected = deque()\n",
    "        \n",
    "        var = q.popleft()\n",
    "        print('var',var)\n",
    "        \n",
    "        d = {}\n",
    "        for i in range(nodes):\n",
    "            d[i] = distance_matrix[PosOfNodes[var]][PosOfNodes[i]]\n",
    "        #print('d',d)  \n",
    "        \n",
    "        for i in range(nodes):\n",
    "            d[i] = d[i] * cluster_assigned[i]\n",
    "        #print('d',d)\n",
    "        \n",
    "        sorted_x = sorted(d.items(), key=operator.itemgetter(1))\n",
    "        #print(sorted_x)\n",
    "        \n",
    "        connected.append(sorted_x[1][0]) \n",
    "        connected.append(sorted_x[2][0])\n",
    "        connected.append(sorted_x[3][0])\n",
    "        \n",
    "        cluster[var] = list(connected)\n",
    "        print(cluster)\n",
    "        cluster_assigned[sorted_x[1][0]] = infi\n",
    "        cluster_assigned[sorted_x[2][0]] = infi\n",
    "        cluster_assigned[sorted_x[3][0]] = infi\n",
    "        print('CA',cluster_assigned)\n",
    "        sums = np.sum(cluster_assigned)\n",
    "        \n",
    "        print('connected',connected)\n",
    "        print('sums',sums)\n",
    "        if(int(sums) == int(check_it)):\n",
    "           break\n",
    "    \n",
    "    if(int(sums) == int(check_it)):\n",
    "           return None\n",
    "    \n",
    "    connect_bfs(connected)\n",
    "    print('recc')\n",
    "    #return sums\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def plot_cluster():\n",
    "    N = nodes\n",
    "    x = np.zeros(N)\n",
    "    y = np.zeros(N)\n",
    "    for i in range(nodes):\n",
    "        x[i] = PosOfNodes[i][0]\n",
    "        y[i] = PosOfNodes[i][1]\n",
    "\n",
    "    colors = np.random.rand(N)\n",
    "    area = (CoverageRadius*2)**2  # 0 to 15 point radii\n",
    "\n",
    "\n",
    "\n",
    "    for i in cluster:\n",
    "        plt.text(PosOfNodes[i][0],PosOfNodes[i][1],i, fontsize=20)\n",
    "        for j in cluster[i]:\n",
    "            plt.text(PosOfNodes[j][0],PosOfNodes[j][1],j, fontsize=12)\n",
    "            plt.plot([PosOfNodes[i][0], PosOfNodes[j][0]], [PosOfNodes[i][1], PosOfNodes[j][1]],'black',lw='0.5')\n",
    "\n",
    "    #print(PosOfNodes[2],PosOfNodes[3])\n",
    "    #plt.plot([PosOfNodes[2][0], PosOfNodes[3][0]], [PosOfNodes[2][1], PosOfNodes[3][1]])\n",
    "    plt.scatter(x, y, s=area, c=colors, alpha=0.5)\n",
    "    plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def run_dfs_cluster():\n",
    "    \n",
    "    q.append(StartNode)\n",
    "    reset()\n",
    "    connect_dfs(q,sums)\n",
    "    plot_cluster()\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def run_bfs_cluster():\n",
    "    \n",
    "    q.append(StartNode)\n",
    "    reset()\n",
    "    connect_bfs(q)\n",
    "    plot_cluster()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "check_it 100000.0\n",
      "len of q 1\n",
      "bfs\n",
      "var 8\n",
      "{8: [0, 2, 1], 4: [7, 1, 5], 6: [9, 8, 3]}\n",
      "CA [ 10000.  10000.  10000.  10000.  10000.  10000.  10000.  10000.  10000.\n",
      "  10000.]\n",
      "connected deque([0, 2, 1])\n",
      "sums 100000.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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Hs2bNHvt5r1+/zvTp0/Hz88PYOP+FZETFIgVflHvfffcd8+fPz7btwIED9OjR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\n7NiBx+Phgw8+YOjQobX9cUTEzzTCD1H5+fm8++6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      "text/plain": [
       "<matplotlib.figure.Figure at 0x23ed29bc470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "run_bfs_cluster()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "run_dfs_cluster()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}