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import numpy as np
from helpers import assert_equality, assert_norm_equality
import dmsh
def generate_union_circles(show=False):
geo = dmsh.Circle([-0.5, 0.0], 1.0) + dmsh.Circle([+0.5, 0.0], 1.0)
X, cells = dmsh.generate(geo, 0.15, show=show, tol=1.0e-5, max_steps=100)
geo.plot()
return X, cells
def generate_union_rectangles(show=False):
geo = dmsh.Rectangle(-1.0, +0.5, -1.0, +0.5) | dmsh.Rectangle(
-0.5, +1.0, -0.5, +1.0
)
X, cells = dmsh.generate(geo, 0.15, show=show, tol=1.0e-5, max_steps=100)
return X, cells
def generate_union_three_circles(show=False):
angles = np.pi * np.array([3.0 / 6.0, 7.0 / 6.0, 11.0 / 6.0])
geo = dmsh.Union(
[
dmsh.Circle([np.cos(angles[0]), np.sin(angles[0])], 1.0),
dmsh.Circle([np.cos(angles[1]), np.sin(angles[1])], 1.0),
dmsh.Circle([np.cos(angles[2]), np.sin(angles[2])], 1.0),
]
)
X, cells = dmsh.generate(geo, 0.2, show=show, tol=1.0e-5, max_steps=100)
return X, cells
def test_union_circles(show=False):
X, cells = generate_union_circles(show)
ref_norms = [3.0080546580519666e02, 1.5775854476745508e01, 1.5000000000000000e00]
assert_norm_equality(X.flatten(), ref_norms, 1.0e-10)
def test_union_rectangles(show=False):
X, cells = generate_union_rectangles(show)
ref_norms = [1.8417796811774514e02, 1.1277323166424049e01, 1.0000000000000000e00]
assert_norm_equality(X.flatten(), ref_norms, 1.0e-10)
def test_union_three_circles(show=False):
X, cells = generate_union_three_circles(show)
ref_norms = [4.0359760255235619e02, 2.1162741423521961e01, 2.0000000000000000e00]
assert_norm_equality(X.flatten(), ref_norms, 1.0e-5)
def test_boundary_step():
geo = dmsh.Union([dmsh.Circle([-0.5, 0.0], 1.0), dmsh.Circle([+0.5, 0.0], 1.0)])
a = geo.boundary_step([-0.5, 0.9])
assert np.array_equal(a, [-0.5, 1.0])
a = geo.boundary_step([-0.5, 0.6])
assert np.array_equal(a, [-0.5, 1.0])
a = geo.boundary_step([0.05, 0.05])
assert_equality(a, [-4.4469961425821203e-01, 9.9846976285554556e-01], 1.0e-10)
pts = np.array([[-5.0, 0.0], [4.1, 0.0]])
pts = geo.boundary_step(pts.T).T
ref = np.array([[-1.5, 0.0], [1.5, 0.0]])
assert np.all(np.abs(pts - ref) < 1.0e-10)
pts = np.array([[-0.9, 0.0], [1.1, 0.0]])
pts = geo.boundary_step(pts.T).T
ref = np.array([[-1.5, 0.0], [1.5, 0.0]])
assert np.all(np.abs(pts - ref) < 1.0e-10)
def test_boundary_step2():
geo = dmsh.Union([dmsh.Circle([-0.5, 0.0], 1.0), dmsh.Circle([+0.5, 0.0], 1.0)])
np.random.seed(0)
pts = np.random.uniform(-2.0, 2.0, (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-12)
if __name__ == "__main__":
# from helpers import save
test_union_circles(show=True)
X, cells = generate_union_circles(show=True)
# save("union.png", X, cells)
# test_boundary_step2()
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