def test_union(show=False): geo = dmsh.Union( [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-10) ref_norms = [3.0088043884612756e+02, 1.5785099320497183e+01, 1.5] assert_norm_equality(X.flatten(), ref_norms, 1.0e-12) return X, cells
def test_difference(show=False): geo = dmsh.Difference(dmsh.Circle([-0.5, 0.0], 1.0), dmsh.Circle([+0.5, 0.0], 1.0)) X, cells = dmsh.generate(geo, 0.1, show=show) ref_norms = [ 2.9445552442961758e+02, 1.5856356670813716e+01, 1.4999999157880513e+00 ] assert_norm_equality(X.flatten(), ref_norms, 1.0e-9) return X, cells
def test_difference(show=False): geo = dmsh.Difference(dmsh.Circle([-0.5, 0.0], 1.0), dmsh.Circle([+0.5, 0.0], 1.0)) X, cells = dmsh.generate(geo, 0.1, show=show) geo.plot() ref_norms = [2.9445555e02, 1.58563569e01, 1.499999914e00] assert_norm_equality(X.flatten(), ref_norms, 1.0e-7) return X, cells
def test_boundary_step(): geo = dmsh.Union([dmsh.Circle([-0.5, 0.0], 1.0), dmsh.Circle([+0.5, 0.0], 1.0)]) geo.show() a = geo.boundary_step([-0.5, 0.9]) assert numpy.array_equal(a, [-0.5, 1.0]) a = geo.boundary_step([-0.5, 0.6]) assert numpy.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)
def test_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() 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_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)
def test_difference(show=False): geo = dmsh.Circle([-0.5, 0.0], 1.0) - dmsh.Circle([+0.5, 0.0], 1.0) X, cells = dmsh.generate(geo, 0.1, show=show, max_steps=100) geo.plot() ref_norms = [ 2.9409044729708609e02, 1.5855488859739937e01, 1.5000000000000000e00 ] assert_norm_equality(X.flatten(), ref_norms, 1.0e-6) return X, cells
def test_boundary_step2(): geo = dmsh.Difference(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)
def test_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() ref_norms = [ 3.0080546580519666e02, 1.5775854476745508e01, 1.5000000000000000e00 ] assert_norm_equality(X.flatten(), ref_norms, 1.0e-10) 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) 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_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_step(): geo = dmsh.Difference(dmsh.Circle([-0.5, 0.0], 1.0), dmsh.Circle([+0.5, 0.0], 1.0)) pts = np.array([ [-2.1, 0.0], [0.1, 0.0], [-1.4, 0.0], [-0.6, 0.0], ]) pts = geo.boundary_step(pts.T).T ref = np.array([[-1.5, 0.0], [-0.5, 0.0], [-1.5, 0.0], [-0.5, 0.0]]) assert np.all(np.abs(pts - ref) < 1.0e-10)
def test_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) ref_norms = [ 4.0359760255235619e02, 2.1162741423521961e01, 2.0000000000000000e00 ] assert_norm_equality(X.flatten(), ref_norms, 1.0e-10) return X, cells
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.Union( [ dmsh.Circle([numpy.cos(angles[0]), numpy.sin(angles[0])], 1.0), dmsh.Circle([numpy.cos(angles[1]), numpy.sin(angles[1])], 1.0), dmsh.Circle([numpy.cos(angles[2]), numpy.sin(angles[2])], 1.0), ] ) X, cells = dmsh.generate(geo, 0.2, show=show, tol=1.0e-10) ref_norms = [4.0372522103229670e02, 2.1155465970807523e01, 1.9999337650692937e00] 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_boundary_step(): geo = dmsh.Circle([0.1, 0.2], 1.0) np.random.seed(0) pts = np.random.uniform(-1.0, 1.0, (2, 100)) pts = geo.boundary_step(pts) tol = 1.0e-12 assert np.all(np.abs(geo.dist(pts)) < tol)
def test_union(show=False): angles = numpy.pi * numpy.array([3.0 / 6.0, 7.0 / 6.0, 11.0 / 6.0]) geo = dmsh.Union([ dmsh.Circle( [numpy.cos(angles[0]), numpy.sin(angles[0])], 1.0), dmsh.Circle( [numpy.cos(angles[1]), numpy.sin(angles[1])], 1.0), dmsh.Circle( [numpy.cos(angles[2]), numpy.sin(angles[2])], 1.0), ]) X, cells = dmsh.generate(geo, 0.2, show=show, tol=1.0e-10) ref_norms = [ 4.1390554922002769e+02, 2.1440246410944471e+01, 1.9947113226010518e+00 ] assert_norm_equality(X.flatten(), ref_norms, 1.0e-12) return X, cells
def _create_mesh(filename): poly = dmsh.Polygon( [ [-295.0, 0.0], [-160.0, 0.0], [-50.0, 110.0], [-50.0, 190.0], [+50.0, 190.0], [+50.0, 110.0], [+160.0, 0.0], [+295.0, 0.0], [+405.0, 110.0], [+405.0, 235.0], [+200.0, 430.0], [+170.0, 400.0], [+355.0, 235.0], [-355.0, 235.0], [-170.0, 400.0], [-200.0, 430.0], [-405.0, 235.0], [-405.0, 110.0], ] ) geo = dmsh.Union( [ poly, dmsh.Circle([-295.0, 110.0], 110.0), dmsh.Circle([+295.0, 110.0], 110.0), dmsh.Circle([-160.0, 110.0], 110.0), dmsh.Circle([+160.0, 110.0], 110.0), ] ) X, cells = dmsh.generate( geo, 35.0, # show=True ) X, cells = optimesh.lloyd(X, cells, 1.0e-3, 100) X = numpy.column_stack([X[:, 0], X[:, 1], numpy.zeros(X.shape[0])]) meshio.write_points_cells(filename, X, {"triangle": cells}) return
def test_circle(show=True): geo = dmsh.Circle([0.0, 0.0], 1.0) X, cells = dmsh.generate(geo, 0.1, show=show) ref_norms = [ 3.2795193920779542e02, 1.4263721858241993e01, 1.0000000000000000e00 ] assert_norm_equality(X.flatten(), ref_norms, 1.0e-12) return X, cells
def test_circle(radius, ref_norms, show=False): geo = dmsh.Circle([0.0, 0.0], 1.0) X, cells = dmsh.generate(geo, radius, show=show) # make sure the origin is part of the mesh assert numpy.sum(numpy.einsum("ij,ij->i", X, X) < 1.0e-10) == 1 assert_norm_equality(X.flatten(), ref_norms, 1.0e-5) return X, cells
def test_circle(radius, ref_norms, show=False): geo = dmsh.Circle([0.0, 0.0], 1.0) X, cells = dmsh.generate(geo, radius, show=show, max_steps=100) meshplex.MeshTri(X, cells).show() # make sure the origin is part of the mesh assert np.sum(np.einsum("ij,ij->i", X, X) < 1.0e-6) == 1 assert_norm_equality(X.flatten(), ref_norms, 1.0e-5) return X, cells
def sartenTriangulation(size, edge_size): """ Triangulación de silueta de una sartén de cocina """ c = dmsh.Circle([0, 0], size) r = dmsh.Rectangle(-2.5*size, -size*0.9, -size/8, size/8) geo = dmsh.Union([c, r]) points, cells = dmsh.generate(geo, edge_size) return Triangulation(points, cells)
def test_pacman(show=False): geo = dmsh.Difference( dmsh.Circle([0.0, 0.0], 1.0), dmsh.Polygon([[0.0, 0.0], [1.5, 0.4], [1.5, -0.4]]), ) X, cells = dmsh.generate(geo, 0.1, show=show, tol=1.0e-10) ref_norms = [3.0385105041432689e02, 1.3644964912810719e01, 1.0] assert_norm_equality(X.flatten(), ref_norms, 1.0e-10) return X, cells
def test_degenerate_circle(target_edge_length): geo = dmsh.Circle([0.0, 0.0], 1.0) X, cells = dmsh.generate(geo, target_edge_length, show=False, max_steps=200, verbose=True) mesh = meshplex.MeshTri(X, cells) min_q = np.min(mesh.q_radius_ratio) assert min_q > 0.5, f"min cell quality: {min_q:.3f}"
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_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(show=False): r = dmsh.Rectangle(-1.0, +1.0, -1.0, +1.0) c = dmsh.Circle([0.0, 0.0], 0.3) geo = dmsh.Difference(r, c) X, cells = dmsh.generate( geo, lambda pts: numpy.abs(c.dist(pts)) / 5 + 0.05, show=show, tol=1.0e-10 ) ref_norms = [2.48e02, 1.200e01, 1.0] assert_norm_equality(X.flatten(), ref_norms, 1.0e-3) return X, cells
def coreMesh(self,eleSize): """ 核心混凝土的划分 输入: eleSize:核心区纤维单元大小 返回: coreFiberInfo:核心混凝土纤维单元列表[(xc1,yc1,area1),(xc2,yc2,area2)] """ outDNew=self.outD-self.d0*2.0 if self.inD!=None: inDNew=self.inD+self.d0*2.0 geo = dmsh.Difference(dmsh.Circle([0, 0], outDNew/2.0), dmsh.Circle([0, 0.0],inDNew/2.0)) points, elements= dmsh.generate(geo, eleSize) coreFiberInfo=self._triEleInfo(points,elements) self.ax.triplot(points[:, 0], points[:, 1], elements) else: geo = dmsh.Circle([0.0, 0.0],outDNew/2.0) points, elements = dmsh.generate(geo,eleSize) coreFiberInfo = self._triEleInfo(points, elements) self.ax.triplot(points[:, 0], points[:, 1], elements) return coreFiberInfo