source: inundation/utilities/test_polygon.py @ 2378

#!/usr/bin/env python


import unittest
from Numeric import zeros, array, allclose
from math import sqrt, pi

from polygon import *


def test_function(x, y):
    return x+y

class Test_Polygon(unittest.TestCase):
    def setUp(self):
        pass

    def tearDown(self):
        pass


    def test_that_C_extension_compiles(self):
        FN = 'polygon_ext.c'
        try:
            import polygon_ext
        except:
            from compile import compile

            try:
                compile(FN)
            except:
                raise 'Could not compile %s' %FN
            else:
                import polygon_ext


    #Polygon stuff
    def test_polygon_function_constants(self):
        p1 = [[0,0], [10,0], [10,10], [0,10]]
        p2 = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]]

        f = Polygon_function( [(p1, 1.0)] )
        z = f([5, 5, 27, 35], [5, 9, 8, -5]) #Two first inside p1
        assert allclose(z, [1,1,0,0])


        f = Polygon_function( [(p2, 2.0)] )
        z = f([5, 5, 27, 35], [5, 9, 8, -5]) #First and last inside p2
        assert allclose(z, [2,0,0,2])


        #Combined
        f = Polygon_function( [(p1, 1.0), (p2, 2.0)] )
        z = f([5, 5, 27, 35], [5, 9, 8, -5])
        assert allclose(z, [2,1,0,2])


    def test_polygon_function_georef(self):
        """Check that georeferencing works
        """

        from coordinate_transforms.geo_reference import Geo_reference

        geo = Geo_reference(56, 200, 1000)

        #Make points 'absolute'
        p1 = [[200,1000], [210,1000], [210,1010], [200,1010]]
        p2 = [[200,1000], [210,1010], [215,1005], [220, 1010], [225,1000],
              [230,1010], [240,990]]

        f = Polygon_function( [(p1, 1.0)], geo_reference = geo )
        z = f([5, 5, 27, 35], [5, 9, 8, -5]) #Two first inside p1

        assert allclose(z, [1,1,0,0])


        f = Polygon_function( [(p2, 2.0)], geo_reference = geo )
        z = f([5, 5, 27, 35], [5, 9, 8, -5]) #First and last inside p2
        assert allclose(z, [2,0,0,2])


        #Combined
        f = Polygon_function( [(p1, 1.0), (p2, 2.0)], geo_reference = geo )
        z = f([5, 5, 27, 35], [5, 9, 8, -5])
        assert allclose(z, [2,1,0,2])


        #Check that it would fail without geo
        f = Polygon_function( [(p1, 1.0), (p2, 2.0)])
        z = f([5, 5, 27, 35], [5, 9, 8, -5])
        assert not allclose(z, [2,1,0,2])        



    def test_polygon_function_callable(self):
        """Check that values passed into Polygon_function can be callable
        themselves.
        """
        p1 = [[0,0], [10,0], [10,10], [0,10]]
        p2 = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]]

        f = Polygon_function( [(p1, test_function)] )
        z = f([5, 5, 27, 35], [5, 9, 8, -5]) #Two first inside p1
        assert allclose(z, [10,14,0,0])

        #Combined
        f = Polygon_function( [(p1, test_function), (p2, 2.0)] )
        z = f([5, 5, 27, 35], [5, 9, 8, -5])
        assert allclose(z, [2,14,0,2])


        #Combined w default
        f = Polygon_function( [(p1, test_function), (p2, 2.0)], default = 3.14)
        z = f([5, 5, 27, 35], [5, 9, 8, -5])
        assert allclose(z, [2,14,3.14,2])


        #Combined w default func
        f = Polygon_function( [(p1, test_function), (p2, 2.0)],
                              default = test_function)
        z = f([5, 5, 27, 35], [5, 9, 8, -5])
        assert allclose(z, [2,14,35,2])



    def test_point_on_line(self):

        #Endpoints first
        assert point_on_line( 0, 0, 0,0, 1,0 )
        assert point_on_line( 1, 0, 0,0, 1,0 )

        #Then points on line
        assert point_on_line( 0.5, 0, 0,0, 1,0 )
        assert point_on_line( 0, 0.5, 0,1, 0,0 )
        assert point_on_line( 1, 0.5, 1,1, 1,0 )
        assert point_on_line( 0.5, 0.5, 0,0, 1,1 )

        #Then points not on line
        assert not point_on_line( 0.5, 0, 0,1, 1,1 )
        assert not point_on_line( 0, 0.5, 0,0, 1,1 )

        #From real example that failed
        assert not point_on_line( 40,50, 40,20, 40,40 )


        #From real example that failed
        assert not point_on_line( 40,19, 40,20, 40,40 )




    def test_inside_polygon_main(self):


        #Simplest case: Polygon is the unit square
        polygon = [[0,0], [1,0], [1,1], [0,1]]

        assert inside_polygon( (0.5, 0.5), polygon )
        assert not inside_polygon( (0.5, 1.5), polygon )
        assert not inside_polygon( (0.5, -0.5), polygon )
        assert not inside_polygon( (-0.5, 0.5), polygon )
        assert not inside_polygon( (1.5, 0.5), polygon )

        #Try point on borders
        assert inside_polygon( (1., 0.5), polygon, closed=True)
        assert inside_polygon( (0.5, 1), polygon, closed=True)
        assert inside_polygon( (0., 0.5), polygon, closed=True)
        assert inside_polygon( (0.5, 0.), polygon, closed=True)

        assert not inside_polygon( (0.5, 1), polygon, closed=False)
        assert not inside_polygon( (0., 0.5), polygon, closed=False)
        assert not inside_polygon( (0.5, 0.), polygon, closed=False)
        assert not inside_polygon( (1., 0.5), polygon, closed=False)



        #From real example (that failed)
        polygon = [[20,20], [40,20], [40,40], [20,40]]
        points = [ [40, 50] ]
        res = inside_polygon(points, polygon)
        assert len(res) == 0

        polygon = [[20,20], [40,20], [40,40], [20,40]]
        points = [ [25, 25], [30, 20], [40, 50], [90, 20], [40, 90] ]
        res = inside_polygon(points, polygon)
        assert len(res) == 2
        assert allclose(res, [0,1])



        #More convoluted and non convex polygon
        polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]]
        assert inside_polygon( (0.5, 0.5), polygon )
        assert inside_polygon( (1, -0.5), polygon )
        assert inside_polygon( (1.5, 0), polygon )

        assert not inside_polygon( (0.5, 1.5), polygon )
        assert not inside_polygon( (0.5, -0.5), polygon )


        #Very convoluted polygon
        polygon = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]]
        assert inside_polygon( (5, 5), polygon )
        assert inside_polygon( (17, 7), polygon )
        assert inside_polygon( (27, 2), polygon )
        assert inside_polygon( (35, -5), polygon )
        assert not inside_polygon( (15, 7), polygon )
        assert not inside_polygon( (24, 3), polygon )
        assert not inside_polygon( (25, -10), polygon )



        #Another combination (that failed)
        polygon = [[0,0], [10,0], [10,10], [0,10]]
        assert inside_polygon( (5, 5), polygon )
        assert inside_polygon( (7, 7), polygon )
        assert not inside_polygon( (-17, 7), polygon )
        assert not inside_polygon( (7, 17), polygon )
        assert not inside_polygon( (17, 7), polygon )
        assert not inside_polygon( (27, 8), polygon )
        assert not inside_polygon( (35, -5), polygon )




        #Multiple polygons

        polygon = [[0,0], [1,0], [1,1], [0,1], [0,0],
                   [10,10], [11,10], [11,11], [10,11], [10,10]]
        assert inside_polygon( (0.5, 0.5), polygon )
        assert inside_polygon( (10.5, 10.5), polygon )

        #FIXME: Fails if point is 5.5, 5.5
        assert not inside_polygon( (0, 5.5), polygon )

        #Polygon with a hole
        polygon = [[-1,-1], [2,-1], [2,2], [-1,2], [-1,-1],
                   [0,0], [1,0], [1,1], [0,1], [0,0]]

        assert inside_polygon( (0, -0.5), polygon )
        assert not inside_polygon( (0.5, 0.5), polygon )

    def test_inside_polygon_vector_version(self):
        #Now try the vector formulation returning indices
        polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]]
        points = [ [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]]
        res = inside_polygon( points, polygon, verbose=False )

        assert allclose( res, [0,1,2] )

    def test_outside_polygon(self):
        U = [[0,0], [1,0], [1,1], [0,1]] #Unit square    

        assert not outside_polygon( [0.5, 0.5], U )
        #evaluate to False as the point 0.5, 0.5 is inside the unit square
        
        assert outside_polygon( [1.5, 0.5], U )
        #evaluate to True as the point 1.5, 0.5 is outside the unit square
        
        indices = outside_polygon( [[0.5, 0.5], [1, -0.5], [0.3, 0.2]], U )
        assert allclose( indices, [1] )
        
        #One more test of vector formulation returning indices
        polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]]
        points = [ [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]]
        res = outside_polygon( points, polygon )

        assert allclose( res, [3, 4] )



        polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]]
        points = [ [0.5, 1.4], [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]]
        res = outside_polygon( points, polygon )

        assert allclose( res, [0, 4, 5] )        
     
    def test_outside_polygon2(self):
        U = [[0,0], [1,0], [1,1], [0,1]] #Unit square    
   
        assert not outside_polygon( [0.5, 1.0], U, closed = True )
        #evaluate to False as the point 0.5, 1.0 is inside the unit square
        
        assert outside_polygon( [0.5, 1.0], U, closed = False )
        #evaluate to True as the point 0.5, 1.0 is outside the unit square

    def test_all_outside_polygon(self):
        """Test case where all points are outside poly
        """
        
        U = [[0,0], [1,0], [1,1], [0,1]] #Unit square    

        points = [[2,2], [1,3], [-1,1], [0,2]] #All outside


        indices, count = separate_points_by_polygon(points, U)
        #print indices, count
        assert count == 0 #None inside
        assert allclose(indices, [3,2,1,0])

        indices = outside_polygon(points, U, closed = True)
        assert allclose(indices, [0,1,2,3])

        indices = inside_polygon(points, U, closed = True)
        assert allclose(indices, [])                


    def test_all_inside_polygon(self):
        """Test case where all points are inside poly
        """
        
        U = [[0,0], [1,0], [1,1], [0,1]] #Unit square    

        points = [[0.5,0.5], [0.2,0.3], [0,0.5]] #All inside (or on edge)


        indices, count = separate_points_by_polygon(points, U)
        assert count == 3 #All inside
        assert allclose(indices, [0,1,2])

        indices = outside_polygon(points, U, closed = True)
        assert allclose(indices, [])

        indices = inside_polygon(points, U, closed = True)
        assert allclose(indices, [0,1,2])
        

    def test_separate_points_by_polygon(self):
        U = [[0,0], [1,0], [1,1], [0,1]] #Unit square    

        indices, count = separate_points_by_polygon( [[0.5, 0.5], [1, -0.5], [0.3, 0.2]], U )
        assert allclose( indices, [0,2,1] )
        assert count == 2
        
        #One more test of vector formulation returning indices
        polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]]
        points = [ [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]]
        res, count = separate_points_by_polygon( points, polygon )

        assert allclose( res, [0,1,2,4,3] )
        assert count == 3


        polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]]
        points = [ [0.5, 1.4], [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]]
        res, count = separate_points_by_polygon( points, polygon )

        assert allclose( res, [1,2,3,5,4,0] )        
        assert count == 3
        

    def test_populate_polygon(self):

        polygon = [[0,0], [1,0], [1,1], [0,1]]
        points = populate_polygon(polygon, 5)

        assert len(points) == 5
        for point in points:
            assert inside_polygon(point, polygon)


        #Very convoluted polygon
        polygon = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]]

        points = populate_polygon(polygon, 5)

        assert len(points) == 5
        for point in points:
            assert inside_polygon(point, polygon)


    def test_populate_polygon_with_exclude(self):
        

        polygon = [[0,0], [1,0], [1,1], [0,1]]
        ex_poly = [[0,0], [0.5,0], [0.5, 0.5], [0,0.5]] #SW quarter
        points = populate_polygon(polygon, 5, exclude = [ex_poly])

        assert len(points) == 5
        for point in points:
            assert inside_polygon(point, polygon)
            assert not inside_polygon(point, ex_poly)            


        #overlap
        polygon = [[0,0], [1,0], [1,1], [0,1]]
        ex_poly = [[-1,-1], [0.5,0], [0.5, 0.5], [-1,0.5]]
        points = populate_polygon(polygon, 5, exclude = [ex_poly])

        assert len(points) == 5
        for point in points:
            assert inside_polygon(point, polygon)
            assert not inside_polygon(point, ex_poly)                        
        
        #Multiple
        polygon = [[0,0], [1,0], [1,1], [0,1]]
        ex_poly1 = [[0,0], [0.5,0], [0.5, 0.5], [0,0.5]] #SW quarter
        ex_poly2 = [[0.5,0.5], [0.5,1], [1, 1], [1,0.5]] #NE quarter        
        
        points = populate_polygon(polygon, 20, exclude = [ex_poly1, ex_poly2])

        assert len(points) == 20
        for point in points:
            assert inside_polygon(point, polygon)
            assert not inside_polygon(point, ex_poly1)
            assert not inside_polygon(point, ex_poly2)                                
        

        #Very convoluted polygon
        polygon = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]]
        ex_poly = [[-1,-1], [5,0], [5, 5], [-1,5]]
        points = populate_polygon(polygon, 20, exclude = [ex_poly])
        
        assert len(points) == 20
        for point in points:
            assert inside_polygon(point, polygon)
            assert not inside_polygon(point, ex_poly), '%s' %str(point)                        

    def test_point_in_polygon(self):
        polygon = [[0,0], [1,0], [1,1], [0,1]]
        point = point_in_polygon(polygon)
        assert inside_polygon(point, polygon)

        #this may get into a vicious loop
        #polygon = [[1e32,1e54], [1,0], [1,1], [0,1]]
        
        polygon = [[1e15,1e7], [1,0], [1,1], [0,1]]
        point = point_in_polygon(polygon)
        assert inside_polygon(point, polygon)


        polygon = [[0,0], [1,0], [1,1], [1e8,1e8]]
        point = point_in_polygon(polygon)
        assert inside_polygon(point, polygon)

        
        polygon = [[1e32,1e54], [-1e32,1e54], [1e32,-1e54]]
        point = point_in_polygon(polygon)
        assert inside_polygon(point, polygon)

        
        polygon = [[1e18,1e15], [1,0], [0,1]]
        point = point_in_polygon(polygon)
        assert inside_polygon(point, polygon)

#-------------------------------------------------------------
if __name__ == "__main__":
    suite = unittest.makeSuite(Test_Polygon,'test')
    runner = unittest.TextTestRunner()
    runner.run(suite)