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import numpy as np
from helpers import assert_norm_equality, save
import dmsh
def generate_intersection(show=False):
geo = dmsh.Circle([0.0, -0.5], 1.0) & dmsh.Circle([0.0, +0.5], 1.0)
X, cells = dmsh.generate(geo, 0.1, show=show, tol=1.0e-10, max_steps=100)
geo.plot()
return X, cells
def test_intersection(show=False):
X, cells = generate_intersection(show)
ref_norms = [8.6491736892894920e01, 6.1568624411912278e00, 8.6602540378466342e-01]
assert_norm_equality(X.flatten(), ref_norms, 1.0e-10)
def test_intersection_circles(show=False):
angles = np.pi * np.array([3.0 / 6.0, 7.0 / 6.0, 11.0 / 6.0])
geo = dmsh.Intersection(
[
dmsh.Circle([np.cos(angles[0]), np.sin(angles[0])], 1.5),
dmsh.Circle([np.cos(angles[1]), np.sin(angles[1])], 1.5),
dmsh.Circle([np.cos(angles[2]), np.sin(angles[2])], 1.5),
]
)
X, cells = dmsh.generate(geo, 0.1, show=show, tol=1.0e-10, max_steps=100)
ref_norms = [6.7661318585210836e01, 5.0568863746561723e00, 7.2474487138537913e-01]
assert_norm_equality(X.flatten(), ref_norms, 1.0e-10)
return X, cells
def test_boundary_step():
geo = dmsh.Circle([0.0, -0.5], 1.0) & dmsh.Circle([0.0, +0.5], 1.0)
pts = np.array([[0.0, -5.0], [0.0, 4.1]])
pts = geo.boundary_step(pts.T).T
ref = np.array([[0.0, -0.5], [0.0, 0.5]])
assert np.all(np.abs(pts - ref) < 1.0e-10)
pts = np.array([[0.0, -0.1], [0.0, 0.1]])
pts = geo.boundary_step(pts.T).T
ref = np.array([[0.0, -0.5], [0.0, 0.5]])
assert np.all(np.abs(pts - ref) < 1.0e-10)
def test_boundary_step2():
geo = dmsh.Circle([0.0, -0.5], 1.0) & dmsh.Circle([0.0, +0.5], 1.0)
np.random.seed(0)
pts = np.random.uniform(-1.0, 1.0, (2, 100))
pts = geo.boundary_step(pts)
# geo.plot()
# import matplotlib.pyplot as plt
# plt.plot(pts[0], pts[1], "xk")
# plt.show()
assert np.all(np.abs(geo.dist(pts)) < 1.0e-7)
if __name__ == "__main__":
X, cells = generate_intersection(show=True)
save("intersection.png", X, cells)
# test_boundary_step2()
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