import numpy as np import unittest from SimPEG.mesh import TensorMesh, LogicallyOrthogonalMesh from SimPEG.utils import ndgrid class BasicLOMTests(unittest.TestCase): def setUp(self): a = np.array([1, 1, 1]) b = np.array([1, 2]) c = np.array([1, 4]) gridIt = lambda h: [np.cumsum(np.r_[0, x]) for x in h] X, Y = ndgrid(gridIt([a, b]), vector=False) self.TM2 = TensorMesh([a, b]) self.LOM2 = LogicallyOrthogonalMesh([X, Y]) X, Y, Z = ndgrid(gridIt([a, b, c]), vector=False) self.TM3 = TensorMesh([a, b, c]) self.LOM3 = LogicallyOrthogonalMesh([X, Y, Z]) def test_area_3D(self): test_area = np.array([1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2]) self.assertTrue(np.all(self.LOM3.area == test_area)) def test_vol_3D(self): test_vol = np.array([1, 1, 1, 2, 2, 2, 4, 4, 4, 8, 8, 8]) np.testing.assert_almost_equal(self.LOM3.vol, test_vol) self.assertTrue(True) # Pass if you get past the assertion. def test_vol_2D(self): test_vol = np.array([1, 1, 1, 2, 2, 2]) t1 = np.all(self.LOM2.vol == test_vol) self.assertTrue(t1) def test_edge_3D(self): test_edge = np.array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]) t1 = np.all(self.LOM3.edge == test_edge) self.assertTrue(t1) def test_edge_2D(self): test_edge = np.array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2]) t1 = np.all(self.LOM2.edge == test_edge) self.assertTrue(t1) def test_tangents(self): T = self.LOM2.tangents self.assertTrue(np.all(self.LOM2.r(T, 'E', 'Ex', 'V')[0] == np.ones(self.LOM2.nEv[0]))) self.assertTrue(np.all(self.LOM2.r(T, 'E', 'Ex', 'V')[1] == np.zeros(self.LOM2.nEv[0]))) self.assertTrue(np.all(self.LOM2.r(T, 'E', 'Ey', 'V')[0] == np.zeros(self.LOM2.nEv[1]))) self.assertTrue(np.all(self.LOM2.r(T, 'E', 'Ey', 'V')[1] == np.ones(self.LOM2.nEv[1]))) T = self.LOM3.tangents self.assertTrue(np.all(self.LOM3.r(T, 'E', 'Ex', 'V')[0] == np.ones(self.LOM3.nEv[0]))) self.assertTrue(np.all(self.LOM3.r(T, 'E', 'Ex', 'V')[1] == np.zeros(self.LOM3.nEv[0]))) self.assertTrue(np.all(self.LOM3.r(T, 'E', 'Ex', 'V')[2] == np.zeros(self.LOM3.nEv[0]))) self.assertTrue(np.all(self.LOM3.r(T, 'E', 'Ey', 'V')[0] == np.zeros(self.LOM3.nEv[1]))) self.assertTrue(np.all(self.LOM3.r(T, 'E', 'Ey', 'V')[1] == np.ones(self.LOM3.nEv[1]))) self.assertTrue(np.all(self.LOM3.r(T, 'E', 'Ey', 'V')[2] == np.zeros(self.LOM3.nEv[1]))) self.assertTrue(np.all(self.LOM3.r(T, 'E', 'Ez', 'V')[0] == np.zeros(self.LOM3.nEv[2]))) self.assertTrue(np.all(self.LOM3.r(T, 'E', 'Ez', 'V')[1] == np.zeros(self.LOM3.nEv[2]))) self.assertTrue(np.all(self.LOM3.r(T, 'E', 'Ez', 'V')[2] == np.ones(self.LOM3.nEv[2]))) def test_normals(self): N = self.LOM2.normals self.assertTrue(np.all(self.LOM2.r(N, 'F', 'Fx', 'V')[0] == np.ones(self.LOM2.nFv[0]))) self.assertTrue(np.all(self.LOM2.r(N, 'F', 'Fx', 'V')[1] == np.zeros(self.LOM2.nFv[0]))) self.assertTrue(np.all(self.LOM2.r(N, 'F', 'Fy', 'V')[0] == np.zeros(self.LOM2.nFv[1]))) self.assertTrue(np.all(self.LOM2.r(N, 'F', 'Fy', 'V')[1] == np.ones(self.LOM2.nFv[1]))) N = self.LOM3.normals self.assertTrue(np.all(self.LOM3.r(N, 'F', 'Fx', 'V')[0] == np.ones(self.LOM3.nFv[0]))) self.assertTrue(np.all(self.LOM3.r(N, 'F', 'Fx', 'V')[1] == np.zeros(self.LOM3.nFv[0]))) self.assertTrue(np.all(self.LOM3.r(N, 'F', 'Fx', 'V')[2] == np.zeros(self.LOM3.nFv[0]))) self.assertTrue(np.all(self.LOM3.r(N, 'F', 'Fy', 'V')[0] == np.zeros(self.LOM3.nFv[1]))) self.assertTrue(np.all(self.LOM3.r(N, 'F', 'Fy', 'V')[1] == np.ones(self.LOM3.nFv[1]))) self.assertTrue(np.all(self.LOM3.r(N, 'F', 'Fy', 'V')[2] == np.zeros(self.LOM3.nFv[1]))) self.assertTrue(np.all(self.LOM3.r(N, 'F', 'Fz', 'V')[0] == np.zeros(self.LOM3.nFv[2]))) self.assertTrue(np.all(self.LOM3.r(N, 'F', 'Fz', 'V')[1] == np.zeros(self.LOM3.nFv[2]))) self.assertTrue(np.all(self.LOM3.r(N, 'F', 'Fz', 'V')[2] == np.ones(self.LOM3.nFv[2]))) def test_grid(self): self.assertTrue(np.all(self.LOM2.gridCC == self.TM2.gridCC)) self.assertTrue(np.all(self.LOM2.gridN == self.TM2.gridN)) self.assertTrue(np.all(self.LOM2.gridFx == self.TM2.gridFx)) self.assertTrue(np.all(self.LOM2.gridFy == self.TM2.gridFy)) self.assertTrue(np.all(self.LOM2.gridEx == self.TM2.gridEx)) self.assertTrue(np.all(self.LOM2.gridEy == self.TM2.gridEy)) self.assertTrue(np.all(self.LOM3.gridCC == self.TM3.gridCC)) self.assertTrue(np.all(self.LOM3.gridN == self.TM3.gridN)) self.assertTrue(np.all(self.LOM3.gridFx == self.TM3.gridFx)) self.assertTrue(np.all(self.LOM3.gridFy == self.TM3.gridFy)) self.assertTrue(np.all(self.LOM3.gridFz == self.TM3.gridFz)) self.assertTrue(np.all(self.LOM3.gridEx == self.TM3.gridEx)) self.assertTrue(np.all(self.LOM3.gridEy == self.TM3.gridEy)) self.assertTrue(np.all(self.LOM3.gridEz == self.TM3.gridEz)) if __name__ == '__main__': unittest.main()