{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# [Goulib](../notebook.ipynb).geom\n",
    "Vector, matrix and quaternion operations + line, arc, circle entities for use in 2D and 3D graphics applications.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "geom defines the following classes : dict_keys(['Arc2', 'Circle', 'Ellipse', 'Geometry', 'Line2', 'Matrix3', 'Point2', 'Polygon', 'Ray2', 'Segment2', 'Surface', 'Vector2'])\n"
     ]
    }
   ],
   "source": [
    "from Goulib.notebook import *\n",
    "from Goulib.geom import *\n",
    "import sys,inspect\n",
    "print('geom defines the following classes : %s'%dict(inspect.getmembers(sys.modules['Goulib.geom'], inspect.isclass)).keys())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Arc2(center=Point2(0, 0),p1=Point2(0, 1),p2=Point2(1, 0),r=1.0)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Arc2((0,0),(0,1),(1,0)) #does not render in notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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       "   <g id=\"line2d_1\">\r\n",
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      ],
      "text/plain": [
       "Arc2(center=Point2(0, 0),p1=Point2(0, 1),p2=Point2(1, 0),r=1.0)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from Goulib.drawing import * #adds rendering (and more) to Geom\n",
    "a=Arc2((0,0),(0,1),(1,0)) #same class is now rendered inline\n",
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "   <g id=\"line2d_1\">\r\n",
       "    <path clip-path=\"url(#pe756d50d77)\" d=\"M 69.218182 219.370909 \r\n",
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       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
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      "text/plain": [
       "[[Segment2(Point2(-2, 0.5),Point2(2, 0.5)),\n",
       "  Segment2(Point2(-2, -0.5),Point2(2, -0.5))],\n",
       " Arc2(center=Point2(0, 0),p1=Point2(0, 1),p2=Point2(1, 0),r=1.0)]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "l1=Segment2((-2,.5),Vector2(4,0)) #horizontal at y=0.5\n",
    "l2=Segment2((-2,-.5),Vector2(4,0)) #horizontal at y=-0.5\n",
    "lines=Group([l1,l2])\n",
    "lines.color='blue'\n",
    "Group([lines,a])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  Point2(-0.8660254037844386, -0.5)],\n",
       " Circle(Point2(-9.614813431917822e-17, -0.0),1),\n",
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      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c1=circle_from_3_points(*pts) # classic\n",
    "a1=arc_from_3_points(*pts) # not trivial ;-)\n",
    "a1.r*=.99\n",
    "a1.color='blue'\n",
    "Group([pts,c1,a1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# [Goulib](../notebook.ipynb).drawing\n",
    "vector graphics in .dxf, .svg and .pdf formats based on Geom"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "drawing adds more classes to geom : dict_keys(['Arc2', 'BBox', 'Box', 'Chain', 'Circle', 'Drawing', 'Ellipse', 'Entity', 'Geometry', 'Group', 'Instance', 'Line2', 'Matrix3', 'Plot', 'Point2', 'Polygon', 'Ray2', 'Rect', 'Segment2', 'Spline', 'Surface', 'Text', 'Vector2', '_Group'])"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from Goulib.drawing import *\n",
    "import inspect\n",
    "h('drawing adds more classes to geom : %s'%dict(inspect.getmembers(sys.modules['Goulib.drawing'], inspect.isclass)).keys())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "c1=Circle(Point2(4,4),1)\n",
    "#drawing Entities support colors and othe graphic attributes\n",
    "c1.color='blue'\n",
    "c1.width=5\n",
    "c1.fill='cyan'\n",
    "r1=Rect((0,0),(-1,1))\n",
    "r2=Rect((1,-1),(2,2))\n",
    "c2=Circle(Point2(0,2),.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
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      ],
      "text/plain": [
       "Table(len=2,titles=[],data=[[Circle(Point2(4, 4),1), Circle(Point2(0, 2),0.5)], [Rect(Point2(-1, 0),Point2(0, 1)), Rect(Point2(1, -1),Point2(2, 2))]])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from Goulib.table import Table\n",
    "Table([[c1,c2],[r1,r2]]) # Entities have an HTML representation for tables"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Geom offers many geometric constructs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "s1=r1.connect(r2)\n",
    "s1.color='red'\n",
    "s2=r2.connect(c1)\n",
    "s2.color='red'\n",
    "s3=c1.connect(c2)\n",
    "s3.color='red'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Geom entities and others defined in Drawing can be grouped :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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     "metadata": {},
     "output_type": "execute_result"
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   ],
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Groups can be handled as entities :"
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  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
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    "g2=Trans(scale=2, offset=(10,1), rotation=30)*g\n",
    "g2.color='blue'\n",
    "h(g.distance(g2))\n",
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    "Drawing objects can be read/saved from/to various formats including pdf, svg and dxf "
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   "cell_type": "code",
   "execution_count": 13,
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       " Segment2(Point2(657.3733170505, 77.3757923022),Point2(669.297060212, 65.4520491408)),\n",
       " Segment2(Point2(621.602087566, 41.6045628178),Point2(657.3733170505, 41.6045628178)),\n",
       " Chain(Point2(285.1518949922, 338.1556162857),Point2(285.1518949922, 338.1556162857),4),\n",
       " Chain(Point2(371.2709809381, 282.526271033),Point2(371.2709809381, 282.526271033),32),\n",
       " Segment2(Point2(189.8329890039, 443.5524888746),Point2(189.8329890039, 549.0133216864)),\n",
       " Chain(Point2(189.8329890039, 549.0133216864),Point2(189.8329890039, 487.7779994086),2),\n",
       " Chain(Point2(238.5944493362, 446.9544512234),Point2(286.2219222189, 549.0133216864),40),\n",
       " Segment2(Point2(531.3067424195, 577.280140213),Point2(568.4812945692, 555.8174025223)),\n",
       " Segment2(Point2(549.8940184944, 566.5487713677),Point2(517.6999119583, 510.786943143)),\n",
       " Chain(Point2(583.3715485667, 483.4927066833),Point2(568.1510898759, 481.6589419914),2),\n",
       " Segment2(Point2(568.1510898759, 481.6589419914),Point2(560.1851144152, 486.258100068)),\n",
       " Chain(Point2(560.1851144152, 486.258100068),Point2(556.1068048006, 509.8553144502),3),\n",
       " Segment2(Point2(556.1068048006, 509.8553144502),Point2(559.172910185, 515.1659647573)),\n",
       " Chain(Point2(559.172910185, 515.1659647573),Point2(581.6478521059, 523.4326522177),3),\n",
       " Segment2(Point2(581.6478521059, 523.4326522177),Point2(589.6138275666, 518.8334941411)),\n",
       " Chain(Point2(589.6138275666, 518.8334941411),Point2(594.102917412, 502.0799827582),3),\n",
       " Segment2(Point2(594.102917412, 502.0799827582),Point2(591.0368120276, 496.7693324511)),\n",
       " Segment2(Point2(591.0368120276, 496.7693324511),Point2(559.172910185, 515.1659647573)),\n",
       " Segment2(Point2(645.3756557912, 486.6393876051),Point2(594.7043414114, 466.3284150695)),\n",
       " Segment2(Point2(616.1670791021, 503.5029672192),Point2(623.9129181005, 449.4648354554)),\n",
       " Segment2(Point2(658.652281559, 478.9741241442),Point2(677.2395576339, 468.2427552988)),\n",
       " Chain(Point2(677.349625865, 492.9622421425),Point2(653.1214947896, 432.6012558413),3),\n",
       " Segment2(Point2(653.1214947896, 432.6012558413),Point2(658.4321450967, 429.5351504569))]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Drawing('../tests/data/drawing.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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       " Text(Point2(-53.41751759932328, -88.55924123038281),Point2(-53.41751759932328, -88.55924123038281)),\n",
       " Circle(Point2(96.09281346224918, 97.24498621269754),84.2892),\n",
       " Chain(Point2(59.95355542827389, 66.14214403786232),Point2(59.95355542827389, 66.14214403786232),32),\n",
       " Chain(Point2(-41.48997589516554, 156.1732780874148),Point2(-41.48997589516554, 180.9001388475031),2),\n",
       " Chain(Point2(-14.22702685199118, 158.0753442997293),Point2(12.40190012041165, 215.137330669164),40),\n",
       " Text(Point2(129.9463018874044, 200.6217787130224),Point2(129.9463018874044, 200.6217787130224))]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Drawing('../tests/data/drawing.dxf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Drawing also extends geom to allow geometric constructions\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
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       "</svg>\r\n"
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      "text/plain": [
       "[Circle(Point2(0.0, 0.0),1),\n",
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       " Circle(Point2(2.9000000000000004, 0.23924932921398198),1),\n",
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       " Circle(Point2(3.2, -0.058374143427580086),1),\n",
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       " Circle(Point2(4.6000000000000005, -0.9936910036334645),1),\n",
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       " Circle(Point2(5.2, -0.8834546557201531),1),\n",
       " Circle(Point2(5.300000000000001, -0.8322674422239008),1),\n",
       " Circle(Point2(5.4, -0.7727644875559871),1),\n",
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       " Circle(Point2(7.1000000000000005, 0.7289690401258765),1),\n",
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       " Circle(Point2(7.300000000000001, 0.8504366206285648),1),\n",
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       " Circle(Point2(7.5, 0.9379999767747389),1),\n",
       " Circle(Point2(7.6000000000000005, 0.9679196720314865),1),\n",
       " Circle(Point2(7.7, 0.9881682338770004),1),\n",
       " Circle(Point2(7.800000000000001, 0.998543345374605),1),\n",
       " Circle(Point2(7.9, 0.998941341839772),1),\n",
       " Circle(Point2(8.0, 0.9893582466233818),1),\n",
       " Circle(Point2(8.1, 0.9698898108450863),1),\n",
       " Circle(Point2(8.200000000000001, 0.9407305566797726),1),\n",
       " Circle(Point2(8.3, 0.9021718337562933),1),\n",
       " Circle(Point2(8.4, 0.8545989080882805),1),\n",
       " Circle(Point2(8.5, 0.7984871126234903),1),\n",
       " Circle(Point2(8.6, 0.7343970978741133),1),\n",
       " Circle(Point2(8.700000000000001, 0.662969230082182),1),\n",
       " Circle(Point2(8.8, 0.5849171928917617),1),\n",
       " Circle(Point2(8.9, 0.5010208564578846),1),\n",
       " Circle(Point2(9.0, 0.4121184852417566),1),\n",
       " Circle(Point2(9.1, 0.3190983623493521),1),\n",
       " Circle(Point2(9.200000000000001, 0.22288991410024592),1),\n",
       " Circle(Point2(9.3, 0.1244544235070617),1),\n",
       " Circle(Point2(9.4, 0.024775425453357765),1),\n",
       " Circle(Point2(9.5, -0.0751511204618093),1),\n",
       " Circle(Point2(9.600000000000001, -0.1743267812229814),1),\n",
       " Circle(Point2(9.700000000000001, -0.2717606264109442),1),\n",
       " Circle(Point2(9.8, -0.3664791292519284),1),\n",
       " Circle(Point2(9.9, -0.45753589377532133),1)]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from Goulib.colors import color_range\n",
    "d=Drawing()\n",
    "for i,color in enumerate(color_range(100,'blue','orange')):\n",
    "    circle=Circle((i*.1,sin(.1*i)),1)\n",
    "    circle.color=color.hex\n",
    "    d.append(circle)\n",
    "d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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       " Chain(Point2(365.32, -24.52),Point2(365.32, -24.52),129)]"
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     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
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    "Drawing('../tests/data/switzerlandLow.svg')"
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