def test_larger_output():
        from scitbx.array_family import flex

        # Set the size of the grid
        height = 10
        width = 10

        # Create the grid data
        value = 13
        grid = flex.double([value for i in range(height * width)])
        grid.reshape(flex.grid(height, width))

        # Create the grid coordinates
        xy = []
        for j in range(height + 1):
            for i in range(width + 1):
                xy.append((i * 2, j * 2))
        gridxy = flex.vec2_double(xy)
        gridxy.reshape(flex.grid(height + 1, width + 1))

        # Get the output grid
        output = regrid_irregular_grid_to_grid(grid, gridxy,
                                               (height * 2, width * 2))

        # Check that each each pixel has a value of 0.25 the input
        eps = 1e-7
        for j in range(1, height):
            for i in range(1, width):
                assert abs(output[j, i] - 0.25 * value) <= eps
    def test_known_offset():
        from scitbx.array_family import flex

        # Set the size of the grid
        height = 10
        width = 10

        # Create the grid data
        grid = flex.double([1 for i in range(height * width)])
        grid.reshape(flex.grid(height, width))

        # Create the grid coordinates
        xy = []
        for j in range(height + 1):
            for i in range(width + 1):
                xy.append((i + 0.5, j + 0.5))
        gridxy = flex.vec2_double(xy)
        gridxy.reshape(flex.grid(height + 1, width + 1))

        # Get the output grid
        output = regrid_irregular_grid_to_grid(grid, gridxy, (height, width))

        # Check that each each pixel along the left and bottom has a value
        # of 0.5 and that everything else is 1
        eps = 1e-7
        assert abs(output[0, 0] - 0.25) <= eps
        for i in range(1, width):
            assert abs(output[0, i] - 0.5) <= eps
        for j in range(1, height):
            assert abs(output[j, 0] - 0.5) <= eps
        for j in range(1, height):
            for i in range(1, width):
                assert abs(output[j, i] - 1.0) <= eps
    def test_identical():
        from scitbx.array_family import flex

        # Set the size of the grid
        height = 10
        width = 10

        # Create the grid data
        grid = flex.double(
            [random.uniform(0, 100) for i in range(height * width)])
        grid.reshape(flex.grid(height, width))

        # Create the grid coordinates
        xy = []
        for j in range(height + 1):
            for i in range(width + 1):
                xy.append((i, j))
        gridxy = flex.vec2_double(xy)
        gridxy.reshape(flex.grid(height + 1, width + 1))

        # Get the output grid
        output = regrid_irregular_grid_to_grid(grid, gridxy, (height, width))

        # Check that each pixel is identical
        eps = 1e-7
        for j in range(height):
            for i in range(width):
                assert abs(output[j, i] - grid[j, i]) <= eps
    def test_larger_input():
        from scitbx.array_family import flex

        # Set the size of the grid
        input_height = 20
        input_width = 20
        output_height = 10
        output_width = 10

        # Create the grid data
        value = 13
        grid = flex.double([value for i in range(input_height * input_width)])
        grid.reshape(flex.grid(input_height, input_width))

        # Create the grid coordinates
        xy = []
        for j in range(input_height + 1):
            for i in range(input_width + 1):
                xy.append((i / 2.0, j / 2.0))
        gridxy = flex.vec2_double(xy)
        gridxy.reshape(flex.grid(input_height + 1, input_width + 1))

        # Get the output grid
        output = regrid_irregular_grid_to_grid(grid, gridxy,
                                               (output_height, output_width))

        # Check that each each pixel has a value of 4 times the input
        eps = 1e-7
        for j in range(1, output_height):
            for i in range(1, output_width):
                assert abs(output[j, i] - 4 * value) <= eps
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    def test_known_orientation():
        from math import cos, pi, sin, sqrt

        from scitbx import matrix
        from scitbx.array_family import flex

        # Set the size of the grid
        input_height = 4
        input_width = 4
        output_height = 4
        output_width = 4

        # Create the grid data
        value = 13
        grid = flex.double([value for i in range(input_height * input_width)])
        grid.reshape(flex.grid(input_height, input_width))

        # Create the grid coordinates
        xy = []
        R = matrix.sqr((cos(pi / 4), -sin(pi / 4), sin(pi / 4), cos(pi / 4)))
        for j in range(input_height + 1):
            for i in range(input_width + 1):
                ij = R * matrix.col((i * sqrt(8) / 4, j * sqrt(8) / 4))
                xy.append((ij[0] + 2, ij[1]))
        gridxy = flex.vec2_double(xy)
        gridxy.reshape(flex.grid(input_height + 1, input_width + 1))

        # Get the output grid
        output = regrid_irregular_grid_to_grid(
            grid, gridxy, (output_height, output_width)
        )

        expected = [[0, 1, 1, 0], [1, 2, 2, 1], [1, 2, 2, 1], [0, 1, 1, 0]]

        # Check that each each pixel has a value of the input
        eps = 1e-7
        for j in range(1, output_height):
            for i in range(1, output_width):
                assert abs(output[j, i] - expected[j][i] * value) <= eps
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    def test_conservation_of_counts():
        from math import cos, pi, sin

        from scitbx import matrix
        from scitbx.array_family import flex

        # Set the size of the grid
        input_height = 10
        input_width = 10
        output_height = 50
        output_width = 50

        # Create the grid data
        grid = flex.double(
            [random.uniform(0, 100) for i in range(input_height * input_width)]
        )
        grid.reshape(flex.grid(input_height, input_width))

        # Create the grid coordinates
        xy = []
        angle = random.uniform(0, pi)
        offset = (random.uniform(20, 30), random.uniform(20, 30))
        R = matrix.sqr((cos(angle), -sin(angle), sin(angle), cos(angle)))
        for j in range(input_height + 1):
            for i in range(input_width + 1):
                ij = R * matrix.col((i, j))
                xy.append((ij[0] + offset[0], ij[1] + offset[0]))
        gridxy = flex.vec2_double(xy)
        gridxy.reshape(flex.grid(input_height + 1, input_width + 1))

        # Get the output grid
        output = regrid_irregular_grid_to_grid(
            grid, gridxy, (output_height, output_width)
        )

        # Check that the sum of the counts is conserved
        eps = 1e-7
        assert abs(flex.sum(output) - flex.sum(grid)) <= eps