/
test_triquad.py
executable file
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/
test_triquad.py
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#!/usr/bin/python3.1
"""This module tests the triangulate family of functions provided by triquad.py"""
import unittest
import math
import vec
from vec import geom
from vec import triquad
from vec import showfaces
Show = True # set True if want to see display of triangulations
# Some test data sets
# Points in pattern:
# 4 3
#
#
# 2
# 0 1
Vs1 = geom.Points([(0.0,0.0),
(1.0,0.0),
(0.5,0.25),
(1.0,1.0),
(0.0,1.0)])
F1tri = [0,1,2]
F1square = [0,1,3,4]
F1concave = [0,2,1,3,4]
F1crosses = [0,1,4,3]
# Points in pattern
# 0 1
# 2 3 4 5
# 6 7
# 8 9 10 11
# 12 13 14 15
Vs2 = geom.Points([(0.0,1.0), (1.75,1.0),
(0.25,0.75), (0.5,0.75), (1.25,0.75), (1.5,0.75),
(0.75,0.5), (1.0,0.5),
(0.25,0.25), (0.5,0.25), (1.25,0.25), (1.5,0.25),
(0.0,0.0), (0.75,0.0), (1.0,0.0), (1.75,0.0)])
F2outer = [0,12,13,6,7,14,15,1]
F2hole1 = [2,3,9,8]
F2hole2 = [5,11,10,4]
# 16 points in circle
Vs3 = geom.Points([(1.00000,0.0),
(0.923880,0.382683),
(0.707107,0.707107),
(0.382683,0.923880),
(2.67949e-8,1.000000),
(-0.382683,0.923880),
(-0.707107,0.707107),
(-0.923880,0.382683),
(-1.000000,5.35898e-8),
(-0.923880,-0.382683),
(-0.707107,-0.707107),
(-0.382684,-0.923880),
(-8.03847e-8,-1.000000),
(0.382683,-0.923880),
(0.707107,-0.707107),
(0.923879,-0.382684)])
F3circle = list(range(0,16))
# Points for lowercase Arial m
Vsm =geom.Points([(0.131836,0.0),
(0.307617,0.0),
(0.307617,0.538086),
(0.335938,0.754883),
(0.427246,0.869141),
(0.564453,0.908203),
(0.705078,0.849609),
(0.748047,0.673828),
(0.748047,0.0),
(0.923828,0.0),
(0.923828,0.602539),
(0.996094,0.835449),
(1.17773,0.908203),
(1.28320,0.879883),
(1.34521,0.805176),
(1.36230,0.653320),
(1.36230,0.0),
(1.53711,0.0),
(1.53711,0.711914),
(1.45410,0.975098),
(1.21680,1.06055),
(0.896484,0.878906),
(0.792480,1.01270),
(0.603516,1.06055),
(0.418945,1.01416),
(0.289063,0.891602),
(0.289063,1.03711),
(0.131836,1.03711)])
Fsm = list(range(0,28))
class TestTriangulateFace(unittest.TestCase):
def testTriangle(self):
ans = triquad.TriangulateFace(F1tri, Vs1)
if Show:
showfaces.ShowFaces(ans, Vs1, "F1tri - tri")
self.assertEqual(ans, [tuple(F1tri)])
def testSquare(self):
ans = triquad.TriangulateFace(F1square, Vs1)
if Show:
showfaces.ShowFaces(ans, Vs1, "F1square - tri")
self.assertEqual(len(ans), 2)
def testCircle(self):
ans = triquad.TriangulateFace(F3circle, Vs3)
if Show:
showfaces.ShowFaces(ans, Vs3, "F3circle - tri")
self.assertEqual(len(ans), 14)
def testM(self):
ans = triquad.TriangulateFace(Fsm, Vsm)
if Show:
showfaces.ShowFaces(ans, Vsm, "Fsm - tri")
self.assertEqual(len(ans), 26)
def testHoles(self):
ans = triquad.TriangulateFaceWithHoles(F2outer, [F2hole1, F2hole2], Vs2)
if Show:
showfaces.ShowFaces(ans, Vs2, "F2 - tri")
class TestQuadrangulateFace(unittest.TestCase):
def testTriangle(self):
ans = triquad.QuadrangulateFace(F1tri, Vs1)
if Show:
showfaces.ShowFaces(ans, Vs1, "F1tri - quad")
self.assertEqual(ans, [tuple(F1tri)])
def testSquare(self):
ans = triquad.QuadrangulateFace(F1square, Vs1)
if Show:
showfaces.ShowFaces(ans, Vs1, "F1square - quad")
self.assertEqual(len(ans), 1)
def testCircle(self):
ans = triquad.QuadrangulateFace(F3circle, Vs3)
if Show:
showfaces.ShowFaces(ans, Vs3, "F3circle - quad")
self.assertEqual(len(ans), 9)
def testM(self):
ans = triquad.QuadrangulateFace(Fsm, Vsm)
if Show:
showfaces.ShowFaces(ans, Vsm, "Fsm - quad")
self.assertEqual(len(ans), 14)
def testHoles(self):
ans = triquad.QuadrangulateFaceWithHoles(F2outer, [F2hole1, F2hole2], Vs2)
if Show:
showfaces.ShowFaces(ans, Vs2, "F2 - quad")
class TestAngle(unittest.TestCase):
def testAngle1(self):
ans = triquad.Angle(0, 1, 3, Vs1)
self.assertAlmostEqual(ans, 90.0)
def testAngle2(self):
ans = triquad.Angle(3, 1, 0, Vs1)
self.assertAlmostEqual(ans, 90.0)
def testAngle3(self):
ans = triquad.Angle(0, 2, 1, Vs1)
self.assertAlmostEqual(ans, 126.86989764584402)
class TestSegsintersect(unittest.TestCase):
def testSegsintersect1(self):
pts = geom.Points([(0.0,0.0), (1.0,1.0),(1.0,0.0),(0.0,1.0)])
self.assertTrue(triquad.SegsIntersect(0,1,2,3,pts))
self.assertTrue(triquad.SegsIntersect(0,1,3,2,pts))
def testSegsintersect2(self):
pts = geom.Points([(0.0,0.0), (1.0,1.0),(1.0,0.0),(0.0,1.0)])
self.assertFalse(triquad.SegsIntersect(0,2,1,3,pts))
self.assertFalse(triquad.SegsIntersect(2,0,3,1,pts))
self.assertFalse(triquad.SegsIntersect(0,0,0,1,pts))
self.assertFalse(triquad.SegsIntersect(0,1,1,1,pts))
def testSegsintersect3(self):
pts = geom.Points([(0.0,0.0), (1.0,0.0),(-0.5,-0.5),(0.5,0.5),(0.5,0.1)])
self.assertFalse(triquad.SegsIntersect(0,1,2,3,pts))
self.assertTrue(triquad.SegsIntersect(0,1,2,4,pts))
def testSegsintersect4(self):
pts = geom.Points([(0.0,0.0),(1.0,0.5),(0.25,0.25),(0.75,-1.0)])
self.assertTrue(triquad.SegsIntersect(0,1,2,3,pts))
class TestCCW(unittest.TestCase):
def testCCW1(self):
pts = geom.Points([(0.0,0.0),(5.0,1.0),(2.0,3.0),(2.0,-3.0),(8.0, 4.0),(10.0,2.0)])
self.assertTrue(triquad.Ccw(0, 1, 2, pts))
self.assertTrue(triquad.Ccw(2, 0, 1, pts))
self.assertTrue(triquad.Ccw(1, 2, 0, pts))
self.assertFalse(triquad.Ccw(0, 1, 3, pts))
self.assertTrue(triquad.Ccw(0, 1, 4, pts))
self.assertFalse(triquad.Ccw(0, 1, 1, pts))
self.assertFalse(triquad.Ccw(0, 1, 5, pts))
class TestIncircle(unittest.TestCase):
def testIncircle(self):
pts = geom.Points([(math.cos(.1),math.sin(.1)),
(math.cos(1.1),math.sin(1.1)),
(math.cos(5.0),math.sin(5.0)),
(1.1*math.cos(2.0),1.1*math.sin(2.0)),
(.9*math.cos(6.0),.9*math.sin(6.0)),
(math.cos(6.1),math.sin(6.1))])
self.assertTrue(triquad.InCircle(0, 1, 2, 4, pts))
self.assertFalse(triquad.InCircle(0, 1, 2, 3, pts))
self.assertFalse(triquad.InCircle(0, 1, 2, 5, pts))
self.assertFalse(triquad.InCircle(0, 2, 1, 4, pts))
self.assertTrue(triquad.InCircle(0, 2, 1, 3, pts))
self.assertFalse(triquad.InCircle(0, 2, 1, 5, pts))
def testIncircle2(self):
pts = geom.Points([(0.92387900000000001, -0.38268400000000002),
(0.382683, 0.92388000000000003),
(2.6794900000000001e-08, 1.0),
(0.70710700000000004, 0.70710700000000004)])
self.assertTrue(triquad.InCircle(0, 1, 2, 3, pts))
class TestAnglekind(unittest.TestCase):
def testAnglekind(self):
pts = geom.Points([(0.0,0.0), (1.0,0.5), (2.0, 0.0), (1.0,1.0), (0.0,1.0), (-1.0, 1.0)])
self.assertEqual(triquad._AngleKind(0, 1, 2, pts), triquad.Angreflex)
self.assertEqual(triquad._AngleKind(1, 2, 3, pts), triquad.Angconvex)
self.assertEqual(triquad._AngleKind(3, 4, 5, pts), triquad.Angtangential)
self.assertEqual(triquad._AngleKind(0, 1, 0, pts), triquad.Ang0)
class TestIncone(unittest.TestCase):
def testIncone(self):
pts = geom.Points([(0.0,0.0), (1.0,0.0), (1.0,1.0), (2.0,0.0),
(2.0,2.0), (0.0,2.0)])
self.assertTrue(triquad._InCone(5, 0, 1, 2, triquad.Angconvex, pts))
self.assertTrue(triquad._InCone(5, 1, 2, 3, triquad.Angreflex, pts))
class TestBorderedges(unittest.TestCase):
def testBorderedges(self):
faces = [[0,1,2],[0,1,3,4]]
ans = triquad._BorderEdges(faces)
self.assertEqual(len(ans), 6)
self.assertTrue((0,1) in ans)
self.assertTrue((4,0) in ans)
class TestIsreversed(unittest.TestCase):
def testIsreversed(self):
pts = geom.Points([(0.0,0.0),(1.0,0.0),(0.2,1.0),(1.2,1.0)])
tris1 = [[0,1,3],[0,3,2]]
tris2 = [[0,1,2],[1,3,2]]
td1 = triquad._TriDict(tris1)
td2 = triquad._TriDict(tris2)
self.assertTrue(triquad._IsReversed((0,3), td1, pts))
self.assertFalse(triquad._IsReversed((1,2), td2, pts))
self.assertFalse(triquad._IsReversed((0,1), td1, pts))
class TestReversededges(unittest.TestCase):
def testReversededges(self):
pts = geom.Points([(0.0,0.0),(1.0,0.0),(0.2,1.0),(1.2,1.0),(1.5,0.0)])
tris = [[0,1,3], [0,3,2], [1,4,3]]
bord = triquad._BorderEdges([[0,1,4,3,2]])
td = triquad._TriDict(tris)
ans = triquad._ReveresedEdges(tris, td, bord, pts)
self.assertEqual(ans, [(0,3)])
class TestIsear(unittest.TestCase):
def testIsear0(self):
n = len(Fsm)
angk = triquad._ClassifyAngles(Fsm, n, Vsm)
self.assertTrue(triquad._IsEar(Fsm, 0, n, angk, Vsm, 0))
f = Fsm[1:]
angk = triquad._ClassifyAngles(f, n-1, Vsm)
self.assertFalse(triquad._IsEar(f, 26, n-1, angk, Vsm, 0))
class TestCDT(unittest.TestCase):
def testCDT1(self):
pts = geom.Points([(0.0,0.0),(1.0,0.0),(0.2,1.0),(1.2,1.0),(1.5,0.0)])
tris = [(0,1,3), (0,3,2), (1,4,3)]
bord = triquad._BorderEdges([[0,1,4,3,2]])
ans = triquad._CDT(tris, bord, pts)
self.assertEqual(ans, [(1, 4, 3), (2, 0, 1), (2, 1, 3)])
class TestSortface(unittest.TestCase):
def testSortface(self):
ans = triquad._SortFace(F3circle, Vs3)
self.assertEqual(len(ans), len(F3circle))
self.assertEqual(ans[0], 8)
class TestIsdiag(unittest.TestCase):
def testIsdiag(self):
self.assertTrue(triquad._IsDiag(1, 12, 8, F2outer, Vs2))
self.assertFalse(triquad._IsDiag(1, 12, 11, F2outer, Vs2))
class TestFinddiag(unittest.TestCase):
def testFinddiag(self):
self.assertEqual(1, triquad._FindDiag(F2outer, 8, Vs2))
class TestLeftmostface(unittest.TestCase):
def testLeftmostface(self):
h1 = triquad._SortFace(F2hole1,Vs2)
h2 = triquad._SortFace(F2hole2,Vs2)
holes = [h2, h1]
self.assertEqual((h1,1), triquad._LeftMostFace(holes, Vs2))
class TestJoinislands(unittest.TestCase):
def testJoinislands(self):
holes = [ triquad._SortFace(F2hole1,Vs2), triquad._SortFace(F2hole2,Vs2)]
ans = triquad._JoinIslands(F2outer, holes, Vs2)
self.assertEqual(ans, [0, 12, 8, 2, 3, 9, 8, 12, 13, 6,
7, 10, 4, 5, 11, 10, 7, 14, 15, 1])
class TestMaxMatch(unittest.TestCase):
def testMaxMatch(self):
er = [(1.0, (1, 2), (1, 2, 3), (2, 1, 4)),
(2.0, (2, 4), (3, 5, 4), (2, 1, 4))]
ans = triquad._MaxMatch(er)
self.assertEqual(ans, [(2.0, (2, 4), (3, 5, 4), (2, 1, 4))])
# Next test has vertices 1-7 in CW ring with an inner ring
# of vertices 8-11. The face graph is a circle with a stem.
er = [(2.0, (2, 7), (1, 2, 7), (2, 7, 6)),
(1.5, (2, 6), (2, 7, 6), (2, 6, 11)),
(0.0, (6, 11), (2, 6, 11), (5, 11, 6)),
(2.0, (5, 11), (5, 11, 6), (5, 10, 11)),
(0.0, (5, 10), (5, 10, 11), (4, 10, 5)),
(1.5, (4, 10), (4, 10, 5), (4, 9, 10)),
(1.0, (4, 9), (4, 9, 10), (3, 9, 4)),
(1.5, (3, 9), (3, 9, 4), (2, 8, 3)),
(0.0, (2, 8), (2, 8, 3), (2, 11, 8)),
(2.0, (2, 11), (2, 11, 8), (2, 6, 11))]
ans = triquad._MaxMatch(er)
# use set comparison because random number generator may
# end up putting answer edges in different orders
self.assertEqual(set(ans),
set([(2.0, (2, 7), (1, 2, 7), (2, 7, 6)),
(1.5, (4, 10), (4, 10, 5), (4, 9, 10)),
(1.5, (3, 9), (3, 9, 4), (2, 8, 3)),
(2.0, (2, 11), (2, 11, 8), (2, 6, 11)),
(2.0, (5, 11), (5, 11, 6), (5, 10, 11))]))
if __name__=='__main__':
unittest.main()