def test_nurbs_arc_parameter_quarter_arc_4_segments():
control_points, weights, knots = nurbs_arc_parameters(start_angle=0,
end_angle=math.pi / 2,
segments=4)
assert len(control_points) == 9
assert len(weights) == len(control_points)
assert len(knots) == required_knot_values(len(control_points), order=3)
def test_nurbs_arc_parameter_full_circle():
control_points, weights, knots = nurbs_arc_parameters(start_angle=0,
end_angle=2 *
math.pi,
segments=4)
cos_pi_4 = math.cos(math.pi / 4)
assert knots == [
0.0,
0.0,
0.0,
0.25,
0.25,
0.5,
0.5,
0.75,
0.75,
1.0,
1.0,
1.0,
]
assert weights == [
1.0,
cos_pi_4,
1.0,
cos_pi_4,
1.0,
cos_pi_4,
1.0,
cos_pi_4,
1.0,
]
def test_nurbs_arc_parameter_quarter_arc_1_segment():
control_points, weights, knots = nurbs_arc_parameters(start_angle=0,
end_angle=math.pi / 2,
segments=1)
assert len(control_points) == 3
assert len(weights) == len(control_points)
assert len(knots) == required_knot_values(len(control_points), order=3)
assert control_points[0].isclose((1, 0, 0))
assert control_points[1].isclose((1, 1, 0))
assert control_points[2].isclose((0, 1, 0))
assert weights[0] == 1.0
assert weights[1] == math.cos(math.pi / 4)
assert weights[2] == 1.0