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# Copyright (c) 2018 Manfred Moitzi
# License: MIT License
import pytest
import math
from ezdxf.math import (
bulge_radius,
bulge_center,
arc_to_bulge,
bulge_3_points,
bulge_to_arc,
bulge_from_radius_and_chord,
bulge_from_arc_angle,
)
def test_bulge_radius():
assert bulge_radius((0, 0), (1, 0), 1) == 0.5
assert bulge_radius((0, 0), (1, 0), -1) == 0.5
def test_bulge_center():
assert bulge_center((0, 0), (1, 0), 1).isclose((0.5, 0))
assert bulge_center((0, 0), (1, 0), -1).isclose((0.5, 0))
def test_arc_to_bulge():
start, end, bulge = arc_to_bulge(
center=(0.5, 0), start_angle=math.pi, end_angle=0, radius=0.5
)
assert start.isclose((0.0, 0.0, 0.0))
assert end.isclose((1.0, 0.0, 0.0))
assert math.isclose(bulge, 1.0)
def test_bulge_3_points():
assert math.isclose(
bulge_3_points(start_point=(0, 0), end_point=(1, 0), point=(0.5, -0.5)),
1.0,
)
def test_bulge_to_arc():
center, start_angle, end_angle, radius = bulge_to_arc(
start_point=(0, 0), end_point=(1, 0), bulge=-1
)
assert center.isclose((0.5, 0.0, 0.0))
assert math.isclose(start_angle, 0, abs_tol=1e-15)
assert math.isclose(end_angle, math.pi)
assert radius == 0.5
class TestBulgeFromRadiusAndChord:
def test_semi_circle_bulge(self):
assert math.isclose(bulge_from_radius_and_chord(5.0, 10), 1.0)
def test_half_bulge(self):
assert math.isclose(bulge_from_radius_and_chord(6.25, 10), 0.50)
def test_radius_of_zero(self):
assert bulge_from_radius_and_chord(0, 10) == 0.0
def test_too_small_radius_for_chord(self):
assert bulge_from_radius_and_chord(1, 10) == 0.0
@pytest.mark.parametrize("angle,bulge", [
(180, 1.0),
(-180, -1.0),
(106.26020471, 0.5),
(-106.26020471, -0.5),
(56.14497387, 0.25),
(-56.14497387, -0.25),
])
def test_bulge_from_arc_angle(angle, bulge):
assert math.isclose(bulge_from_arc_angle(math.radians(angle)), bulge)
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