def test_point_in_arc_rotated(self):
arc = Arc(0 + 25j, 25 + 25j, 90.0, 0, 0, 0 - 25j)
for i in range(100):
x = sin(i * tau / 200) * 25
y = cos(i * tau / 200) * 25
p = i / 100.0
point = arc.point(p)
self.assertAlmostEqual(point.real, x, places=7) # 7th place wrong.
self.assertAlmostEqual(point.imag, y, places=7)
def test_point_in_arc(self):
from math import cos, sin, pi
tau = 2 * pi
arc = Arc(0 + 25j, 25 + 25j, 0.0, 0, 0, 0 - 25j)
for i in range(100):
x = sin(i * tau / 200) * 25
y = cos(i * tau / 200) * 25
p = i / 100.0
point = arc.point(p)
self.assertAlmostEqual(point.real, x, places=7) # 7th place wrong.
self.assertAlmostEqual(point.imag, y, places=7)
def test_point_in_arc_path(self):
from math import cos, sin, pi
tau = 2 * pi
for angle in range(-180, 180, 60):
arc = Arc(0 + 25j, 25 + 25j, angle, 0, 0, 0 - 25j)
path = Path(arc)
v = 5
for i in range(v+1):
x = sin(i * tau / (2.0 * float(v))) * 25
y = cos(i * tau / (2.0 * float(v))) * 25
p = i / float(v)
point = path.point(p)
self.assertAlmostEqual(point.real, x, places=6)
self.assertAlmostEqual(point.imag, y, places=6)
self.assertEqual(arc.point(p), point)
def test_non_arc(self):
# And arc with the same start and end is a noop.
segment = Arc(0 + 70j, 35 + 35j, 0, 1, 0, 0 + 70j)
self.assertEqual(segment.length(), 0)
self.assertEqual(segment.point(0.5), segment.start)
def test_points(self):
arc1 = Arc(0j, 100 + 50j, 0, 0, 0, 100 + 50j)
self.assertAlmostEqual(arc1.center, 100 + 0j)
self.assertAlmostEqual(arc1.theta, 180.0)
self.assertAlmostEqual(arc1.delta, -90.0)
self.assertAlmostEqual(arc1.point(0.0), (0j))
self.assertAlmostEqual(arc1.point(0.1), (1.23116594049 + 7.82172325201j))
self.assertAlmostEqual(arc1.point(0.2), (4.89434837048 + 15.4508497187j))
self.assertAlmostEqual(arc1.point(0.3), (10.8993475812 + 22.699524987j))
self.assertAlmostEqual(arc1.point(0.4), (19.0983005625 + 29.3892626146j))
self.assertAlmostEqual(arc1.point(0.5), (29.2893218813 + 35.3553390593j))
self.assertAlmostEqual(arc1.point(0.6), (41.2214747708 + 40.4508497187j))
self.assertAlmostEqual(arc1.point(0.7), (54.6009500260 + 44.5503262094j))
self.assertAlmostEqual(arc1.point(0.8), (69.0983005625 + 47.5528258148j))
self.assertAlmostEqual(arc1.point(0.9), (84.3565534960 + 49.3844170298j))
self.assertAlmostEqual(arc1.point(1.0), (100 + 50j))
arc2 = Arc(0j, 100 + 50j, 0, 1, 0, 100 + 50j)
self.assertAlmostEqual(arc2.center, 50j)
self.assertAlmostEqual(arc2.theta, 270.0)
self.assertAlmostEqual(arc2.delta, -270.0)
self.assertAlmostEqual(arc2.point(0.0), (0j))
self.assertAlmostEqual(arc2.point(0.1), (-45.399049974 + 5.44967379058j))
self.assertAlmostEqual(arc2.point(0.2), (-80.9016994375 + 20.6107373854j))
self.assertAlmostEqual(arc2.point(0.3), (-98.7688340595 + 42.178276748j))
self.assertAlmostEqual(arc2.point(0.4), (-95.1056516295 + 65.4508497187j))
self.assertAlmostEqual(arc2.point(0.5), (-70.7106781187 + 85.3553390593j))
self.assertAlmostEqual(arc2.point(0.6), (-30.9016994375 + 97.5528258148j))
self.assertAlmostEqual(arc2.point(0.7), (15.643446504 + 99.3844170298j))
self.assertAlmostEqual(arc2.point(0.8), (58.7785252292 + 90.4508497187j))
self.assertAlmostEqual(arc2.point(0.9), (89.1006524188 + 72.699524987j))
self.assertAlmostEqual(arc2.point(1.0), (100 + 50j))
arc3 = Arc(0j, 100 + 50j, 0, 0, 1, 100 + 50j)
self.assertAlmostEqual(arc3.center, 50j)
self.assertAlmostEqual(arc3.theta, 270.0)
self.assertAlmostEqual(arc3.delta, 90.0)
self.assertAlmostEqual(arc3.point(0.0), (0j))
self.assertAlmostEqual(arc3.point(0.1), (15.643446504 + 0.615582970243j))
self.assertAlmostEqual(arc3.point(0.2), (30.9016994375 + 2.44717418524j))
self.assertAlmostEqual(arc3.point(0.3), (45.399049974 + 5.44967379058j))
self.assertAlmostEqual(arc3.point(0.4), (58.7785252292 + 9.54915028125j))
self.assertAlmostEqual(arc3.point(0.5), (70.7106781187 + 14.6446609407j))
self.assertAlmostEqual(arc3.point(0.6), (80.9016994375 + 20.6107373854j))
self.assertAlmostEqual(arc3.point(0.7), (89.1006524188 + 27.300475013j))
self.assertAlmostEqual(arc3.point(0.8), (95.1056516295 + 34.5491502813j))
self.assertAlmostEqual(arc3.point(0.9), (98.7688340595 + 42.178276748j))
self.assertAlmostEqual(arc3.point(1.0), (100 + 50j))
arc4 = Arc(0j, 100 + 50j, 0, 1, 1, 100 + 50j)
self.assertAlmostEqual(arc4.center, 100 + 0j)
self.assertAlmostEqual(arc4.theta, 180.0)
self.assertAlmostEqual(arc4.delta, 270.0)
self.assertAlmostEqual(arc4.point(0.0), (0j))
self.assertAlmostEqual(arc4.point(0.1), (10.8993475812 - 22.699524987j))
self.assertAlmostEqual(arc4.point(0.2), (41.2214747708 - 40.4508497187j))
self.assertAlmostEqual(arc4.point(0.3), (84.3565534960 - 49.3844170298j))
self.assertAlmostEqual(arc4.point(0.4), (130.901699437 - 47.5528258148j))
self.assertAlmostEqual(arc4.point(0.5), (170.710678119 - 35.3553390593j))
self.assertAlmostEqual(arc4.point(0.6), (195.105651630 - 15.4508497187j))
self.assertAlmostEqual(arc4.point(0.7), (198.768834060 + 7.82172325201j))
self.assertAlmostEqual(arc4.point(0.8), (180.901699437 + 29.3892626146j))
self.assertAlmostEqual(arc4.point(0.9), (145.399049974 + 44.5503262094j))
self.assertAlmostEqual(arc4.point(1.0), (100 + 50j))
