arcs.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pylab #Imports matplotlib and a host of other useful modules\n",
    "import pickle\n",
    "import time\n",
    "\n",
    "import sys\n",
    "# sys.path.append(\"./\")\n",
    "import motion_planner as mp\n",
    "from motion_planner import StateP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "02:51:41 INFO:Logging enabled in notebook\n"
     ]
    }
   ],
   "source": [
    "import logging\n",
    "reload(logging)\n",
    "logging.basicConfig(format='%(asctime)s %(levelname)s:%(message)s', level=logging.INFO, datefmt='%I:%M:%S')\n",
    "logging.info('Logging enabled in notebook')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Visualizing arc_grid and center_for_tangent\n",
    "This notebook demonstrates two of the core routines used in exploring circular arcs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWwAAAFZCAYAAAC8KBWnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhtEgWMA2DMNoECxgG4ZhNAj/H4R9yaGlNSz0AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11887c710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[(46.000000000000064, -7.9999999999999716),\n",
       " (51.659355538123179, -4.3590677030502505),\n",
       " (56.942946497246282, -0.19153129954630543),\n",
       " (61.801943123279777, 4.4640937805104315),\n",
       " (66.191439667045358, 9.5647813018282477),\n",
       " (70.070869393065863, 15.063391862572345),\n",
       " (73.404379488170292, 20.909108546067547),\n",
       " (76.161162405094316, 27.047906559263115),\n",
       " (78.31574057887255, 33.42305251766561),\n",
       " (79.848201884738685, 39.97562876246279),\n",
       " (80.744383661484491, 46.645077864216759),\n",
       " (80.996003599575275, 53.369762280946837),\n",
       " (80.600736284383757, 60.087533998369103),\n",
       " (79.562234687146656, 66.736308887805066),\n",
       " (77.890096405029851, 73.254640473674002),\n",
       " (75.599774962303243, 79.582287807940091),\n",
       " (72.712436992360622, 85.660772203345317),\n",
       " (69.254766620475166, 91.433917680227296),\n",
       " (65.258718855141609, 96.848370132233015),\n",
       " (60.761224267106414, 101.85409041291712),\n",
       " (55.803847685375381, 106.4048167862297),\n",
       " (50.432404064453493, 110.45849246703037),\n",
       " (44.696535072884778, 113.97765430039605),\n",
       " (38.649250316165634, 116.92977898763581),\n",
       " (32.346437433945866, 119.28758365927037),\n",
       " (25.846345599087488, 121.0292780171488),\n",
       " (19.209047191968068, 122.13876571546153),\n",
       " (12.495882625111081, 122.60579311953227),\n",
       " (5.768893448950239, 122.42604406759331),\n",
       " (-0.90975102216425796, 121.60117975977769),\n",
       " (-7.478328264725814, 120.13882340568264),\n",
       " (-13.876132971689259, 118.05248977238885),\n",
       " (-20.044038077206888, 115.3614602840358),\n",
       " (-25.925041195613623, 112.09060482725542),\n",
       " (-31.464791424597877, 108.27015190929853),\n",
       " (-36.612091643964298, 103.9354092929986),\n",
       " (-41.31937166785255, 99.126437690403833),\n",
       " (-45.543127877648473, 93.887680530726868),\n",
       " (-49.244325272601152, 88.267553224210303),\n",
       " (-52.388758222480931, 82.31799571784326),\n",
       " (-54.947366588287323, 76.093992478104227),\n",
       " (-56.896504289489187, 69.653064336942293),\n",
       " (-58.218157835759001, 63.054736897242869),\n",
       " (-58.900112803581592, 56.359990410652173),\n",
       " (-58.936066719196873, 49.630696211866521),\n",
       " (-58.325687304638663, 42.929044917734487),\n",
       " (-57.074615548572595, 36.316971675624245),\n",
       " (-55.194413573553078, 29.855583772782413),\n",
       " (-52.702457781498651, 23.604595896590002),\n",
       " (-49.621778264910681, 17.621778264910652)]"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#r, gridsize, center, amin, amax = 15.0, 180.0, (-15.0, 20.0), 4.71238898038469, 7.853981633974483\n",
    "#r, gridsize, center, amin, amax =(550, 6600, (-229.0, 468.31397208144125), 4.71238898038469, 7.853981633974483)\n",
    "#r, gridsize, center, amin, amax =(550, 500, (-550.0, 20.0), 4.71238898038469, 7.853981633974483)\n",
    "#r, gridsize, center, amin, amax =((90, 50, (91.0, -85.94228634059948), 5.7595865315812871, 10.471975511965976))\n",
    "#r, gridsize, center, amin, amax = (2200,100,(1146.0, -1913.255888325765),5.7595865315812871,10.471975511965976)\n",
    "r, gridsize, center, amin, amax = 70, 50, (11.0, 52.621778264910702), 3.6651914291880923, 8.3775804095727828\n",
    "turntype = 'rh'\n",
    "mp.arc_grid(r, gridsize, center, amin, amax, counter=True if turntype == 'rh' else False,plot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "06:06:55 INFO:p((10, 10)), heading:90 deg (1.6 rad), radius:10, \n",
      "center: ((10.0, 20.0))\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd4AAAHVCAYAAABfWZoAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x124a2a990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mp.plot_center_for_tangent((10,10),2*np.pi/4,r=10,turntype='lh')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOIAAADdCAYAAACmPK6vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n0TA8wAzRMDzADNEwPOD/AcK1Vr23Yqa2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ee89ad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fill entire circle\n",
    "xx=mp.arc_grid(r=5,n=20,c=(0,0),plot=True,figsize=3,debug=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Go clockwise from 12 to 3\n",
    "xx=mp.arc_grid(r=5,n=10,c=(0,0),amin=0,amax=np.pi/2,plot=True,figsize=3,debug=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Go clockwise from 9 to 3\n",
    "xx=mp.arc_grid(r=5,n=10,c=(0,0),amin=(3.0/2.0)*np.pi,amax=(5.0/2.0)*np.pi,plot=True,figsize=3,debug=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Clockwise from 9 o'clock to 2\n",
    "xx=mp.arc_grid(r=5,n=10,c=(0,0),amin=3.0/2.0*np.pi,amax=(9.0/4)*np.pi,plot=True,figsize=3,debug=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Go counter-clockwise from 12 to 9\n",
    "xx=mp.arc_grid(r=5,n=10,c=(0,0),amin=0,amax=np.pi/2,plot=True,figsize=3,debug=True,counter=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Counter-Clockwise from 3 o'clock to 10\n",
    "xx=mp.arc_grid(r=5,n=10,c=(0,0),amin=3.0/2.0*np.pi,amax=(9.0/4)*np.pi,plot=True,figsize=3,debug=True,counter=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 341,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "09:22:09 INFO:p((0, 20)), heading:-10 deg (-0.2 rad), radius:500, \n",
      "center: ((-492.40387650610398, 106.82408883346517))\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAN8AAAHQCAYAAAAh2L9NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1265d1490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mp = reload(mp)\n",
    "r=500\n",
    "heading=0\n",
    "heading=np.radians(-10)\n",
    "#heading=np.radians(3)\n",
    "num_per_r = 1\n",
    "mp.plot_center_for_tangent((0,20),heading,r,'rh',num=r*num_per_r,xmin=(-20,40),ymin=(-5,mp.UPPER_YLIMIT))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fleur-de-lis space filling curve\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 708,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "11:06:04 INFO:lh center: (40.0, 30.0)\n",
      "11:06:04 INFO:rh center: (20.0, 30.0)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "aminL: 4.7  amaxL: 7.9\n",
      "aminR: 4.7  amaxR: 7.9\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV8AAAFZCAYAAAA/7CycAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAcfybQMDYcYlAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10eb75990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mp=reload(mp)\n",
    "#mp.plot_fleur_de_lis((30, 30, 1020), 10, xlim=(-1,60),ylim=(-1,60))\n",
    "mp.plot_fleur_de_lis((30, 30, 360), 10, xlim=(-1,60),ylim=(-1,60))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 883,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "06:33:42 INFO:lh center: (23.6, 21.7)\n",
      "06:33:42 INFO:rh center: (6.4, 46.3)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "aminL: 5.7  amaxL: 8.8\n",
      "aminR: 3.8  amaxR: 6.9\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVgAAAFUCAYAAABhriQ7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x146f71e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "##\n",
    "##    These are from actual runs\n",
    "##\n",
    "# pp = (100, 39, 145)\n",
    "# pp = (9, 8, 13)\n",
    "pp = (119, 82, 500)\n",
    "pp = (15, 34, 305)\n",
    "mp.plot_fleur_de_lis(pp, 15, figsize=5, xlim=(pp[0]-30,pp[0]+30), ylim=(pp[1]-30, pp[1]+30), gridsize=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "aminL: 4.9  amaxL: 8.1\n",
      "aminR: 4.5  amaxR: 7.6\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA8QAAAPACAYAAADzPbDhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWYgBAACYSxZiAAAA5pKFGAAAgLn0/wG9P/yLOxTfHwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109490fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mp.plot_fleur_de_lis((1, 23, 347), 20, figsize=15, xlim=(-1, 55), ylim=(-1, 55), gridsize=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWIAAAFZCAYAAACi4SUUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x107a46f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xy = mp.arc_grid(r=20,\n",
    " n=100,\n",
    " c=(21.222356768509361, 18.242919009741701),\n",
    " amin=4.9567350756638957,\n",
    " amax=9.6691240560485845,\n",
    " counter=False, plot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 665,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Plotted 100/100 \n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhwAAAITCAYAAABMqMWpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1179e4450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mp.plot_xy(xy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV8AAAFZCAYAAAA/7CycAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBUAbX6WUCoA2vkopFQBtfJVSKgD/H26hOLoJdga0AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ed8a210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Plotted 75/75 \n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAAGXCAYAAAAeSEK+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ed8a190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# amin=np.pi/2\n",
    "# amax=amin+0.25*np.pi\n",
    "# rotation = 0.1\n",
    "# amin+=rotation*np.pi\n",
    "# amax+=rotation*np.pi\n",
    "# a=mp.arc_grid(r=20,n=5*20,c=(-5,19.75),amin=np.pi/2,amax=3.0*np.pi/2, counter=True,plot=True)\n",
    "\n",
    "#\n",
    "# Following: goal1:(9, 30), goal_heading:329,  amin,amax=> 301,481.\n",
    "#\n",
    "amin,amax=5.2534410485029319, 8.395033702092725\n",
    "amin+=0.05*np.pi\n",
    "amax+=0.05*np.pi\n",
    "a=mp.arc_grid(15, 75, (-0.70413463299160384, 41.438084237527406), amin,amax, counter=False, plot=True, )\n",
    "mp.plot_xy(a,xlim=(-5,15),ylim=(25,40))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(18.704134632991604, 18.561915762472594)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# lh center : (-0.70413463299160384, 41.438084237527406)\n",
    "mp.center_for_tangent((9, 30),329,15,'lh') # lh\n",
    "mp.center_for_tangent((9, 30),329,15,'rh') # rh\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 914,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAATMAAAFZCAYAAAD0N8hiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYRQE/x+Sy0PVFsXEQgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115047a50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Plotted 90/90 \n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAAGXCAYAAAAeSEK+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1785ab8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#r, gridsize, center, amin, amax, counter\n",
    "a=mp.arc_grid(15,90,(-6.5135997379232933, 25.271023008010925),5.5152404363020811,8.6568330898918759,counter=False,plot=True)\n",
    "mp.plot_xy(a,xlim=(-5,15),ylim=(25,40))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 944,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAATMAAAFZCAYAAAD0N8hiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYRQE/x+Sy0PVFsXEQgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x122df5e90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWIAAAFZCAYAAACi4SUUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13470c490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[(7.1245301279000728, 18.49059025097683),\n",
       " (7.4761264311535705, 18.886446312757208),\n",
       " (7.8414740517174604, 19.269647432612178),\n",
       " (8.2201178119510452, 19.639716189664121),\n",
       " (8.6115859688792984, 19.996191524324168)]"
      ]
     },
     "execution_count": 944,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# goal1: (6, 17)\n",
    "# goal_heading: 323  (-37 deg,  ~ssw)\n",
    "# r=15, lh turn\n",
    "#points = arc_grid(r, gridsize, center, amin, amax, counter=True if turntype == 'rh' else False)\n",
    "\n",
    "#     points = arc_grid(r, gridsize, center, amin, amax, counter=True if turntype == 'rh' else False)\n",
    "points = mp.arc_grid(15,90, (-6.5135997379232933, 25.271023008010925), 5.5152404363020811, 8.6568330898918759, counter=False, plot=True)\n",
    "\n",
    "turntype='lh'\n",
    "points = mp.arc_grid(15,90, (18.513599737923293, 8.7289769919890752),5.4209926566943869,8.5625853102841809,\n",
    "                     counter=True if turntype == 'rh' else False,plot=True)\n",
    "\n",
    "\n",
    "#center = (-6.5135997379232933, 25.271023008010925)\n",
    "#new center: (looks good)  (18.513599737923293, 8.7289769919890752)\n",
    "    \n",
    "# 1. This would actually be the proper rh turn into (6,17,323)\n",
    "# 2. The points should be explored backwards ccw\n",
    "\n",
    "points[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 942,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(31.027199475846587, 0.45795398397815035)"
      ]
     },
     "execution_count": 942,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "turntype='lh'\n",
    "center_for_tangent((6, 17), 323, r, turntype='lh' if turntype=='rh' else 'rh')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Testing Boundaries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of (x,y) locations in obstacles set:  1066\n"
     ]
    }
   ],
   "source": [
    "xy_obstacles = mp.xy_obstacles_set() # Obstacles for north and northeast pegs.\n",
    "print \"Number of (x,y) locations in obstacles set: \", len(xy_obstacles)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "([19, 33], [0, 21])\n",
      "(48, 36, 320)\n",
      "Points in front of before hitting obstacle or out of bounds : 1\n",
      "Points behind before hitting obstacle or out of bounds : 93\n",
      "Plotted 1/1 \n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXMAAAITCAYAAAD1pvxVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYE5EVAcYzImI6gCDORFRHfj/g+HxaiwNXQ8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ad21ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Plotted 93/93 \n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXMAAAITCAYAAAD1pvxVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwZyIyAcYzImIfIDBnIjIB/5/lHve1LSWmRcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b998790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pp=(15,35,55)\n",
    "pp=(19,45,0)\n",
    "print mp.DIVIDER3\n",
    "pp=(mp.DIVIDER3[0][1]+15,mp.DIVIDER2[1][1]+15,320)\n",
    "print pp\n",
    "grid = mp.line_grid_ahead(\"north\", pp, xy_obstacles, verbose=False)\n",
    "print \"Points in front of before hitting obstacle or out of bounds :\",len(grid)\n",
    "gridb = mp.line_grid_behind(\"north\", pp, xy_obstacles)\n",
    "print \"Points behind before hitting obstacle or out of bounds :\",len(gridb)\n",
    "mp.plot_xy(grid)\n",
    "mp.plot_xy(gridb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(63, 6, 210)\n",
      "Points in front of before hitting obstacle or out of bounds : 9\n",
      "Points behind before hitting obstacle or out of bounds : 45\n",
      "Plotted 9/9 \n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAScAAAITCAYAAABFWdpnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nuKiiay8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a7f7090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Plotted 45/45 \n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAITCAYAAADrb8zmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ccb8bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pp=(mp.DIVIDER3[0][1]+30,mp.DIVIDER2[1][1]-15,210)\n",
    "print pp\n",
    "grid = mp.line_grid_ahead(\"north\", pp, xy_obstacles, verbose=False)\n",
    "print \"Points in front of before hitting obstacle or out of bounds :\",len(grid)\n",
    "gridb = mp.line_grid_behind(\"north\", pp, xy_obstacles)\n",
    "print \"Points behind before hitting obstacle or out of bounds :\",len(gridb)\n",
    "mp.plot_xy(grid,plot_obstacles=False)\n",
    "mp.plot_xy(gridb,plot_obstacles=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Visual collision checker"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x,y,t: (2,143,82) \n",
      "Plotted 1001/1277 \n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdsAAAMLCAYAAAAG2z0yAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x107e48f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\t\t\t===   COLLIDES   ===\n"
     ]
    }
   ],
   "source": [
    "#  Collision checker uses robot center\n",
    "x,y,h = (2, 143, 82)\n",
    "mp.plot_check_collision((x, y),h,degrees=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x,y,t: (33,21,270) \n",
      "Plotted 1001/1276 \n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAg4AAAMLCAYAAAAmAR8+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ad15e90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\t\t\t===   COLLIDES   ===\n",
      "x,y,t: (0,21,270) \n",
      "Plotted 1001/1276 \n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAg4AAAMLCAYAAAAmAR8+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nyggOAACgMoIDAACojOAAAAAq+3/ywRQqWJnt7gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b49ee10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Clear\n"
     ]
    }
   ],
   "source": [
    "mp.plot_check_collision((mp.DIVIDER3[0][1],mp.DIVIDER3[1][1]),270,degrees=True)\n",
    "mp.plot_check_collision((0,21),270,degrees=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}