def test_intersection(show=False): geo = dmsh.Intersection( [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) ref_norms = [ 8.6619344595913475e+01, 6.1599895121114274e+00, 8.6602540378466342e-01 ] assert_norm_equality(X.flatten(), ref_norms, 1.0e-12) return X, cells
def test_halfspace(show=False): geo = dmsh.Intersection([ dmsh.HalfSpace(np.sqrt(0.5) * np.array([1.0, 1.0])), dmsh.Circle([0.0, 0.0], 1.0), ]) X, cells = dmsh.generate(geo, 0.1, show=show, max_steps=100) ref_norms = [ 1.6399670188761661e02, 1.0011048291798387e01, 9.9959986881486440e-01 ] assert_norm_equality(X.flatten(), ref_norms, 1.0e-6) return X, cells
def test_boundary_step2(): geo = dmsh.Intersection( [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)
def test_halfspace(show=False): geo = dmsh.Intersection([ dmsh.HalfSpace(numpy.sqrt(0.5) * numpy.array([1.0, 1.0]), 0.0), dmsh.Circle([0.0, 0.0], 1.0), ]) X, cells = dmsh.generate(geo, 0.1, show=show) ref_norms = [ 1.6445971629723411e02, 1.0032823867864321e01, 9.9962000746451751e-01 ] assert_norm_equality(X.flatten(), ref_norms, 1.0e-12) return X, cells
def test_intersection(show=False): geo = dmsh.Intersection( [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() ref_norms = [ 8.6491736892894920e01, 6.1568624411912278e00, 8.6602540378466342e-01 ] assert_norm_equality(X.flatten(), ref_norms, 1.0e-10) return X, cells
def test_boundary_step(): geo = dmsh.Intersection( [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_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_union(show=False): angles = numpy.pi * numpy.array([3.0 / 6.0, 7.0 / 6.0, 11.0 / 6.0]) geo = dmsh.Intersection( [ dmsh.Circle([numpy.cos(angles[0]), numpy.sin(angles[0])], 1.5), dmsh.Circle([numpy.cos(angles[1]), numpy.sin(angles[1])], 1.5), dmsh.Circle([numpy.cos(angles[2]), numpy.sin(angles[2])], 1.5), ] ) X, cells = dmsh.generate(geo, 0.1, show=show, tol=1.0e-10) ref_norms = [6.8247386668599034e01, 5.1256971008793917e00, 7.2474487138537913e-01] assert_norm_equality(X.flatten(), ref_norms, 1.0e-12) return X, cells
def quarter_annulus(h): disk0 = dmsh.Circle([0.0, 0.0], 0.25) disk1 = dmsh.Circle([0.0, 0.0], 1.0) diff0 = dmsh.Difference(disk1, disk0) rect = dmsh.Rectangle(0.0, 1.0, 0.0, 1.0) quarter = dmsh.Intersection([diff0, rect]) points, cells = dmsh.generate( quarter, edge_size=lambda x: h + 0.1 * numpy.abs(disk0.dist(x)), tol=1.0e-10, max_steps=max_steps, ) return points, cells
def test_quarter_annulus(): h = 0.05 disk0 = dmsh.Circle([0.0, 0.0], 0.25) disk1 = dmsh.Circle([0.0, 0.0], 1.0) diff0 = dmsh.Difference(disk1, disk0) rect = dmsh.Rectangle(0.0, 1.0, 0.0, 1.0) quarter = dmsh.Intersection([diff0, rect]) points, cells = dmsh.generate( quarter, edge_size=lambda x: h + 0.1 * np.abs(disk0.dist(x)), tol=1.0e-10, max_steps=100, ) ref_norms = [ 8.0232179592990462e01, 6.6832464479565372e00, 1.0000000000000000e00 ] assert_norm_equality(points.flatten(), ref_norms, 1.0e-10) return points, cells
def test_quarter_annulus(): h = 0.05 disk0 = dmsh.Circle([0.0, 0.0], 0.25) disk1 = dmsh.Circle([0.0, 0.0], 1.0) diff0 = dmsh.Difference(disk1, disk0) rect = dmsh.Rectangle(0.0, 1.0, 0.0, 1.0) quarter = dmsh.Intersection([diff0, rect]) points, cells = dmsh.generate( quarter, lambda x: h + 0.1 * np.abs(disk0.dist(x)), tol=1.0e-10, max_steps=100, ) ref_norms = [ 7.7455372708027483e01, 6.5770003813066431e00, 1.0000000000000000e00 ] assert_norm_equality(points.flatten(), ref_norms, 1.0e-2) return points, cells
save(X, cells, "union-rectangles.svg") 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, 0.15) save(X, cells, "union-three-circles.svg") geo = dmsh.Intersection([dmsh.Circle([0.0, -0.5], 1.0), dmsh.Circle([0.0, +0.5], 1.0)]) X, cells = dmsh.generate(geo, 0.1, tol=1.0e-10) save(X, cells, "intersection-circles.svg") 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, tol=1.0e-10) save(X, cells, "intersection-three-circles.svg")