text: #!/usr/bin/python2.4
  #
  # Copyright (C) 2007 Google Inc.
  #
  # Licensed under the Apache License, Version 2.0 (the "License");
  # you may not use this file except in compliance with the License.
  # You may obtain a copy of the License at
  #
  #      http://www.apache.org/licenses/LICENSE-2.0
  #
  # Unless required by applicable law or agreed to in writing, software
  # distributed under the License is distributed on an "AS IS" BASIS,
  # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
  # See the License for the specific language governing permissions and
  # limitations under the License.
  
  """Tests for transitfeed.shapelib.py"""
  from __future__ import absolute_import
  from __future__ import print_function
  
  __author__ = "chris.harrelson.code@gmail.com (Chris Harrelson)"
  
  import math
  from transitfeed import shapelib
  from transitfeed.shapelib import Point
  from transitfeed.shapelib import Poly
  from transitfeed.shapelib import PolyCollection
  from transitfeed.shapelib import PolyGraph
  import unittest
  from tests import util
  
  
  def formatPoint(p, precision=12):
      formatString = "(%%.%df, %%.%df, %%.%df)" % (precision, precision, precision)
      return formatString % (p.x, p.y, p.z)
  
  
  def formatPoints(points):
      return "[%s]" % ", ".join([formatPoint(p, precision=4) for p in points])
  
  
  class ShapeLibTestBase(util.TestCase):
      def assertApproxEq(self, a, b):
          self.assertAlmostEqual(a, b, 8)
  
      def assertPointApproxEq(self, a, b):
          try:
              self.assertApproxEq(a.x, b.x)
              self.assertApproxEq(a.y, b.y)
              self.assertApproxEq(a.z, b.z)
          except AssertionError:
              print("ERROR: %s != %s" % (formatPoint(a), formatPoint(b)))
              raise
  
      def assertPointsApproxEq(self, points1, points2):
          try:
              self.assertEqual(len(points1), len(points2))
          except AssertionError:
              print("ERROR: %s != %s" % (formatPoints(points1), formatPoints(points2)))
              raise
          for i in xrange(len(points1)):
              try:
                  self.assertPointApproxEq(points1[i], points2[i])
              except AssertionError:
                  print(
                      "ERROR: points not equal in position %d\n%s != %s"
                      % (i, formatPoints(points1), formatPoints(points2))
                  )
                  raise
  
  
  class TestPoints(ShapeLibTestBase):
      def testPoints(self):
          p = Point(1, 1, 1)
  
          self.assertApproxEq(p.DotProd(p), 3)
  
          self.assertApproxEq(p.Norm2(), math.sqrt(3))
  
          self.assertPointApproxEq(Point(1.5, 1.5, 1.5), p.Times(1.5))
  
          norm = 1.7320508075688772
          self.assertPointApproxEq(p.Normalize(), Point(1 / norm, 1 / norm, 1 / norm))
  
          p2 = Point(1, 0, 0)
          self.assertPointApproxEq(p2, p2.Normalize())
  
      def testCrossProd(self):
          p1 = Point(1, 0, 0).Normalize()
          p2 = Point(0, 1, 0).Normalize()
          p1_cross_p2 = p1.CrossProd(p2)
          self.assertApproxEq(p1_cross_p2.x, 0)
          self.assertApproxEq(p1_cross_p2.y, 0)
          self.assertApproxEq(p1_cross_p2.z, 1)
  
      def testRobustCrossProd(self):
          p1 = Point(1, 0, 0)
          p2 = Point(1, 0, 0)
          self.assertPointApproxEq(Point(0, 0, 0), p1.CrossProd(p2))
          # only needs to be an arbitrary vector perpendicular to (1, 0, 0)
          self.assertPointApproxEq(
              Point(0.000000000000000, -0.998598452020993, 0.052925717957113),
              p1.RobustCrossProd(p2),
          )
  
      def testS2LatLong(self):
          point = Point.FromLatLng(30, 40)
          self.assertPointApproxEq(Point(0.663413948169, 0.556670399226, 0.5), point)
          (lat, lng) = point.ToLatLng()
          self.assertApproxEq(30, lat)
          self.assertApproxEq(40, lng)
  
      def testOrtho(self):
          point = Point(1, 1, 1)
          ortho = point.Ortho()
          self.assertApproxEq(ortho.DotProd(point), 0)
  
      def testAngle(self):
          point1 = Point(1, 1, 0).Normalize()
          point2 = Point(0, 1, 0)
          self.assertApproxEq(45, point1.Angle(point2) * 360 / (2 * math.pi))
          self.assertApproxEq(point1.Angle(point2), point2.Angle(point1))
  
      def testGetDistanceMeters(self):
          point1 = Point.FromLatLng(40.536895, -74.203033)
          point2 = Point.FromLatLng(40.575239, -74.112825)
          self.assertApproxEq(8732.623770873237, point1.GetDistanceMeters(point2))
  
  
  class TestClosestPoint(ShapeLibTestBase):
      def testGetClosestPoint(self):
          x = Point(1, 1, 0).Normalize()
          a = Point(1, 0, 0)
          b = Point(0, 1, 0)
  
          closest = shapelib.GetClosestPoint(x, a, b)
          self.assertApproxEq(0.707106781187, closest.x)
          self.assertApproxEq(0.707106781187, closest.y)
          self.assertApproxEq(0.0, closest.z)
  
  
  class TestPoly(ShapeLibTestBase):
      def testGetClosestPointShape(self):
          poly = Poly()
  
          poly.AddPoint(Point(1, 1, 0).Normalize())
          self.assertPointApproxEq(
              Point(0.707106781187, 0.707106781187, 0), poly.GetPoint(0)
          )
  
          point = Point(0, 1, 1).Normalize()
          self.assertPointApproxEq(
              Point(1, 1, 0).Normalize(), poly.GetClosestPoint(point)[0]
          )
  
          poly.AddPoint(Point(0, 1, 1).Normalize())
  
          self.assertPointApproxEq(
              Point(0, 1, 1).Normalize(), poly.GetClosestPoint(point)[0]
          )
  
      def testCutAtClosestPoint(self):
          poly = Poly()
          poly.AddPoint(Point(0, 1, 0).Normalize())
          poly.AddPoint(Point(0, 0.5, 0.5).Normalize())
          poly.AddPoint(Point(0, 0, 1).Normalize())
  
          (before, after) = poly.CutAtClosestPoint(Point(0, 0.3, 0.7).Normalize())
  
          self.assert_(2 == before.GetNumPoints())
          self.assert_(2 == before.GetNumPoints())
          self.assertPointApproxEq(
              Point(0, 0.707106781187, 0.707106781187), before.GetPoint(1)
          )
  
          self.assertPointApproxEq(
              Point(0, 0.393919298579, 0.919145030018), after.GetPoint(0)
          )
  
          poly = Poly()
          poly.AddPoint(Point.FromLatLng(40.527035999999995, -74.191265999999999))
          poly.AddPoint(Point.FromLatLng(40.526859999999999, -74.191140000000004))
          poly.AddPoint(Point.FromLatLng(40.524681000000001, -74.189579999999992))
          poly.AddPoint(Point.FromLatLng(40.523128999999997, -74.188467000000003))
          poly.AddPoint(Point.FromLatLng(40.523054999999999, -74.188676000000001))
          pattern = Poly()
          pattern.AddPoint(Point.FromLatLng(40.52713, -74.191146000000003))
          self.assertApproxEq(14.564268281551, pattern.GreedyPolyMatchDist(poly))
  
      def testMergePolys(self):
          poly1 = Poly(name="Foo")
          poly1.AddPoint(Point(0, 1, 0).Normalize())
          poly1.AddPoint(Point(0, 0.5, 0.5).Normalize())
          poly1.AddPoint(Point(0, 0, 1).Normalize())
          poly1.AddPoint(Point(1, 1, 1).Normalize())
  
          poly2 = Poly()
          poly3 = Poly(name="Bar")
          poly3.AddPoint(Point(1, 1, 1).Normalize())
          poly3.AddPoint(Point(2, 0.5, 0.5).Normalize())
  
          merged1 = Poly.MergePolys([poly1, poly2])
          self.assertPointsApproxEq(poly1.GetPoints(), merged1.GetPoints())
          self.assertEqual("Foo;", merged1.GetName())
  
          merged2 = Poly.MergePolys([poly2, poly3])
          self.assertPointsApproxEq(poly3.GetPoints(), merged2.GetPoints())
          self.assertEqual(";Bar", merged2.GetName())
  
          merged3 = Poly.MergePolys([poly1, poly2, poly3], merge_point_threshold=0)
          mergedPoints = poly1.GetPoints()[:]
          mergedPoints.append(poly3.GetPoint(-1))
          self.assertPointsApproxEq(mergedPoints, merged3.GetPoints())
          self.assertEqual("Foo;;Bar", merged3.GetName())
  
          merged4 = Poly.MergePolys([poly2])
          self.assertEqual("", merged4.GetName())
          self.assertEqual(0, merged4.GetNumPoints())
  
          # test merging two nearby points
          newPoint = poly1.GetPoint(-1).Plus(Point(0.000001, 0, 0)).Normalize()
          poly1.AddPoint(newPoint)
          distance = poly1.GetPoint(-1).GetDistanceMeters(poly3.GetPoint(0))
          self.assertTrue(distance <= 10)
          self.assertTrue(distance > 5)
  
          merged5 = Poly.MergePolys([poly1, poly2, poly3], merge_point_threshold=10)
          mergedPoints = poly1.GetPoints()[:]
          mergedPoints.append(poly3.GetPoint(-1))
          self.assertPointsApproxEq(mergedPoints, merged5.GetPoints())
          self.assertEqual("Foo;;Bar", merged5.GetName())
  
          merged6 = Poly.MergePolys([poly1, poly2, poly3], merge_point_threshold=5)
          mergedPoints = poly1.GetPoints()[:]
          mergedPoints += poly3.GetPoints()
          self.assertPointsApproxEq(mergedPoints, merged6.GetPoints())
          self.assertEqual("Foo;;Bar", merged6.GetName())
  
      def testReversed(self):
          p1 = Point(1, 0, 0).Normalize()
          p2 = Point(0, 0.5, 0.5).Normalize()
          p3 = Point(0.3, 0.8, 0.5).Normalize()
          poly1 = Poly([p1, p2, p3])
          self.assertPointsApproxEq([p3, p2, p1], poly1.Reversed().GetPoints())
  
      def testLengthMeters(self):
          p1 = Point(1, 0, 0).Normalize()
          p2 = Point(0, 0.5, 0.5).Normalize()
          p3 = Point(0.3, 0.8, 0.5).Normalize()
          poly0 = Poly([p1])
          poly1 = Poly([p1, p2])
          poly2 = Poly([p1, p2, p3])
          try:
              poly0.LengthMeters()
              self.fail("Should have thrown AssertionError")
          except AssertionError:
              pass
  
          p1_p2 = p1.GetDistanceMeters(p2)
          p2_p3 = p2.GetDistanceMeters(p3)
          self.assertEqual(p1_p2, poly1.LengthMeters())
          self.assertEqual(p1_p2 + p2_p3, poly2.LengthMeters())
          self.assertEqual(p1_p2 + p2_p3, poly2.Reversed().LengthMeters())
  
  
  class TestCollection(ShapeLibTestBase):
      def testPolyMatch(self):
          poly = Poly()
          poly.AddPoint(Point(0, 1, 0).Normalize())
          poly.AddPoint(Point(0, 0.5, 0.5).Normalize())
          poly.AddPoint(Point(0, 0, 1).Normalize())
  
          collection = PolyCollection()
          collection.AddPoly(poly)
          match = collection.FindMatchingPolys(Point(0, 1, 0), Point(0, 0, 1))
          self.assert_(len(match) == 1 and match[0] == poly)
  
          match = collection.FindMatchingPolys(Point(0, 1, 0), Point(0, 1, 0))
          self.assert_(len(match) == 0)
  
          poly = Poly()
          poly.AddPoint(Point.FromLatLng(45.585212, -122.586136))
          poly.AddPoint(Point.FromLatLng(45.586654, -122.587595))
          collection = PolyCollection()
          collection.AddPoly(poly)
  
          match = collection.FindMatchingPolys(
              Point.FromLatLng(45.585212, -122.586136),
              Point.FromLatLng(45.586654, -122.587595),
          )
          self.assert_(len(match) == 1 and match[0] == poly)
  
          match = collection.FindMatchingPolys(
              Point.FromLatLng(45.585219, -122.586136),
              Point.FromLatLng(45.586654, -122.587595),
          )
          self.assert_(len(match) == 1 and match[0] == poly)
  
          self.assertApproxEq(0.0, poly.GreedyPolyMatchDist(poly))
  
          match = collection.FindMatchingPolys(
              Point.FromLatLng(45.587212, -122.586136),
              Point.FromLatLng(45.586654, -122.587595),
          )
          self.assert_(len(match) == 0)
  
  
  class TestGraph(ShapeLibTestBase):
      def testReconstructPath(self):
          p1 = Point(1, 0, 0).Normalize()
          p2 = Point(0, 0.5, 0.5).Normalize()
          p3 = Point(0.3, 0.8, 0.5).Normalize()
          poly1 = Poly([p1, p2])
          poly2 = Poly([p3, p2])
          came_from = {p2: (p1, poly1), p3: (p2, poly2)}
  
          graph = PolyGraph()
          reconstructed1 = graph._ReconstructPath(came_from, p1)
          self.assertEqual(0, reconstructed1.GetNumPoints())
  
          reconstructed2 = graph._ReconstructPath(came_from, p2)
          self.assertPointsApproxEq([p1, p2], reconstructed2.GetPoints())
  
          reconstructed3 = graph._ReconstructPath(came_from, p3)
          self.assertPointsApproxEq([p1, p2, p3], reconstructed3.GetPoints())
  
      def testShortestPath(self):
          p1 = Point(1, 0, 0).Normalize()
          p2 = Point(0, 0.5, 0.5).Normalize()
          p3 = Point(0.3, 0.8, 0.5).Normalize()
          p4 = Point(0.7, 0.7, 0.5).Normalize()
          poly1 = Poly([p1, p2, p3], "poly1")
          poly2 = Poly([p4, p3], "poly2")
          poly3 = Poly([p4, p1], "poly3")
          graph = PolyGraph()
          graph.AddPoly(poly1)
          graph.AddPoly(poly2)
          graph.AddPoly(poly3)
          path = graph.ShortestPath(p1, p4)
          self.assert_(path is not None)
          self.assertPointsApproxEq([p1, p4], path.GetPoints())
  
          path = graph.ShortestPath(p1, p3)
          self.assert_(path is not None)
          self.assertPointsApproxEq([p1, p4, p3], path.GetPoints())
  
          path = graph.ShortestPath(p3, p1)
          self.assert_(path is not None)
          self.assertPointsApproxEq([p3, p4, p1], path.GetPoints())
  
      def testFindShortestMultiPointPath(self):
          p1 = Point(1, 0, 0).Normalize()
          p2 = Point(0.5, 0.5, 0).Normalize()
          p3 = Point(0.5, 0.5, 0.1).Normalize()
          p4 = Point(0, 1, 0).Normalize()
          poly1 = Poly([p1, p2, p3], "poly1")
          poly2 = Poly([p4, p3], "poly2")
          poly3 = Poly([p4, p1], "poly3")
          graph = PolyGraph()
          graph.AddPoly(poly1)
          graph.AddPoly(poly2)
          graph.AddPoly(poly3)
          path = graph.FindShortestMultiPointPath([p1, p3, p4])
          self.assert_(path is not None)
          self.assertPointsApproxEq([p1, p2, p3, p4], path.GetPoints())
  
  
  if __name__ == "__main__":
      unittest.main()
  