easier to understand
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@ -9,95 +9,89 @@ from damask import seeds
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class TestGridFilters:
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def test_coordinates0_point(self):
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size = np.random.random(3) # noqa
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cells = np.random.randint(8,32,(3))
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coord = grid_filters.coordinates0_point(cells,size)
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assert np.allclose(coord[0,0,0],size/cells*.5) and coord.shape == tuple(cells) + (3,)
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size = np.random.random(3) # noqa
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cells = np.random.randint(8,32,(3))
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coord = grid_filters.coordinates0_point(cells,size)
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assert np.allclose(coord[0,0,0],size/cells*.5) and coord.shape == tuple(cells) + (3,)
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def test_coordinates0_node(self):
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size = np.random.random(3) # noqa
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cells = np.random.randint(8,32,(3))
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coord = grid_filters.coordinates0_node(cells,size)
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assert np.allclose(coord[-1,-1,-1],size) and coord.shape == tuple(cells+1) + (3,)
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size = np.random.random(3) # noqa
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cells = np.random.randint(8,32,(3))
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coord = grid_filters.coordinates0_node(cells,size)
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assert np.allclose(coord[-1,-1,-1],size) and coord.shape == tuple(cells+1) + (3,)
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def test_coord0(self):
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size = np.random.random(3) # noqa
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cells = np.random.randint(8,32,(3))
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c = grid_filters.coordinates0_point(cells+1,size+size/cells)
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n = grid_filters.coordinates0_node(cells,size) + size/cells*.5
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assert np.allclose(c,n)
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size = np.random.random(3) # noqa
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cells = np.random.randint(8,32,(3))
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c = grid_filters.coordinates0_point(cells+1,size+size/cells)
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n = grid_filters.coordinates0_node(cells,size) + size/cells*.5
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assert np.allclose(c,n)
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@pytest.mark.parametrize('mode',['point','node'])
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def test_grid_DNA(self,mode):
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"""Ensure that cellsSizeOrigin_coordinates0_xx is the inverse of coordinates0_xx.""" # noqa
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cells = np.random.randint(8,32,(3))
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size = np.random.random(3)
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origin = np.random.random(3)
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coord0 = eval(f'grid_filters.coordinates0_{mode}(cells,size,origin)') # noqa
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_cells,_size,_origin = eval(f'grid_filters.cellsSizeOrigin_coordinates0_{mode}(coord0.reshape(-1,3,order="F"))')
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assert np.allclose(cells,_cells) and np.allclose(size,_size) and np.allclose(origin,_origin)
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"""Ensure that cellsSizeOrigin_coordinates0_xx is the inverse of coordinates0_xx.""" # noqa
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cells = np.random.randint(8,32,(3))
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size = np.random.random(3)
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origin = np.random.random(3)
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coord0 = eval(f'grid_filters.coordinates0_{mode}(cells,size,origin)') # noqa
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_cells,_size,_origin = eval(f'grid_filters.cellsSizeOrigin_coordinates0_{mode}(coord0.reshape(-1,3,order="F"))')
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assert np.allclose(cells,_cells) and np.allclose(size,_size) and np.allclose(origin,_origin)
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def test_displacement_fluct_periodic(self):
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"""Ensure that fluctuations are periodic.""" # noqa
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size = np.random.random(3)
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cells = np.random.randint(8,32,(3))
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F = np.random.random(tuple(cells)+(3,3))
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assert np.allclose(grid_filters.displacement_fluct_node(size,F),
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grid_filters.point_to_node(grid_filters.displacement_fluct_point(size,F)))
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"""Ensure that fluctuations are periodic.""" # noqa
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size = np.random.random(3)
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cells = np.random.randint(8,32,(3))
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F = np.random.random(tuple(cells)+(3,3))
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assert np.allclose(grid_filters.displacement_fluct_node(size,F),
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grid_filters.point_to_node(grid_filters.displacement_fluct_point(size,F)))
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def test_interpolation_to_node(self):
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size = np.random.random(3) # noqa
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cells = np.random.randint(8,32,(3))
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F = np.random.random(tuple(cells)+(3,3))
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assert np.allclose(grid_filters.coordinates_node(size,F) [1:-1,1:-1,1:-1],
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grid_filters.point_to_node(grid_filters.coordinates_point(size,F))[1:-1,1:-1,1:-1])
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size = np.random.random(3) # noqa
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cells = np.random.randint(8,32,(3))
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F = np.random.random(tuple(cells)+(3,3))
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assert np.allclose(grid_filters.coordinates_node(size,F) [1:-1,1:-1,1:-1],
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grid_filters.point_to_node(grid_filters.coordinates_point(size,F))[1:-1,1:-1,1:-1])
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def test_interpolation_to_cell(self):
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cells = np.random.randint(1,30,(3)) # noqa
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cells = np.random.randint(1,30,(3)) # noqa
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coordinates_node_x = np.linspace(0,np.pi*2,num=cells[0]+1)
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node_field_x = np.cos(coordinates_node_x)
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node_field = np.broadcast_to(node_field_x.reshape(-1,1,1),cells+1)
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coordinates_node_x = np.linspace(0,np.pi*2,num=cells[0]+1)
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node_field_x = np.cos(coordinates_node_x)
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node_field = np.broadcast_to(node_field_x.reshape(-1,1,1),cells+1)
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coordinates0_point_x = coordinates_node_x[:-1]+coordinates_node_x[1]*.5
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cell_field_x = np.interp(coordinates0_point_x,coordinates_node_x,node_field_x,period=np.pi*2.)
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cell_field = np.broadcast_to(cell_field_x.reshape(-1,1,1),cells)
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coordinates0_point_x = coordinates_node_x[:-1]+coordinates_node_x[1]*.5
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cell_field_x = np.interp(coordinates0_point_x,coordinates_node_x,node_field_x,period=np.pi*2.)
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cell_field = np.broadcast_to(cell_field_x.reshape(-1,1,1),cells)
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assert np.allclose(cell_field,grid_filters.node_to_point(node_field))
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assert np.allclose(cell_field,grid_filters.node_to_point(node_field))
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@pytest.mark.parametrize('mode',['point','node'])
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def test_coordinates0_origin(self,mode):
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origin= np.random.random(3) # noqa
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size = np.random.random(3) # noqa
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cells = np.random.randint(8,32,(3))
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shifted = eval(f'grid_filters.coordinates0_{mode}(cells,size,origin)')
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unshifted = eval(f'grid_filters.coordinates0_{mode}(cells,size)')
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if mode == 'cell':
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origin= np.random.random(3) # noqa
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size = np.random.random(3) # noqa
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cells = np.random.randint(8,32,(3))
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shifted = eval(f'grid_filters.coordinates0_{mode}(cells,size,origin)')
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unshifted = eval(f'grid_filters.coordinates0_{mode}(cells,size)')
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if mode == 'cell':
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assert np.allclose(shifted,unshifted+np.broadcast_to(origin,tuple(cells) +(3,)))
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elif mode == 'node':
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elif mode == 'node':
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assert np.allclose(shifted,unshifted+np.broadcast_to(origin,tuple(cells+1)+(3,)))
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@pytest.mark.parametrize('function',[grid_filters.displacement_avg_point,
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grid_filters.displacement_avg_node])
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def test_displacement_avg_vanishes(self,function):
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"""Ensure that random fluctuations in F do not result in average displacement.""" # noqa
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size = np.random.random(3)
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cells = np.random.randint(8,32,(3))
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F = np.random.random(tuple(cells)+(3,3))
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F += np.eye(3) - np.average(F,axis=(0,1,2))
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assert np.allclose(function(size,F),0.0)
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"""Ensure that random fluctuations in F do not result in average displacement.""" # noqa
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size = np.random.random(3) + 1.0
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cells = np.random.randint(8,32,(3))
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F = np.random.random(tuple(cells)+(3,3))
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F += np.eye(3) - np.average(F,axis=(0,1,2))
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assert np.allclose(function(size,F),0.0)
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@pytest.mark.parametrize('function',[grid_filters.displacement_fluct_point,
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grid_filters.displacement_fluct_node])
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def test_displacement_fluct_vanishes_avg(self,function):
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"""Ensure that constant F does not result in fluctuating displacement.""" # noqa
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size = np.random.random(3)
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cells = np.random.randint(8,32,(3))
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F = np.broadcast_to(np.random.random((3,3)), tuple(cells)+(3,3))
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assert np.allclose(function(size,F),0.0)
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def test_displacement_fluct_vanishes_plus_minus(self):
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@pytest.mark.parametrize('function',[grid_filters.displacement_avg_point,
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grid_filters.displacement_avg_node])
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def test_displacement_avg_vanishes_simple(self,function):
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F = np.eye(3)
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size = np.random.random(3) + 1.0
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F_c = F.copy()
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F_t = F.copy()
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@ -105,8 +99,16 @@ class TestGridFilters:
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F_t[0,0] = 1.2
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F_no_avg = np.concatenate([np.broadcast_to(_,(10,20,20,3,3)) for _ in [F_t,F_c]])
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assert np.allclose(grid_filters.displacement_point([1,1,1],F_no_avg),
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grid_filters.displacement_fluct_point([1,1,1],F_no_avg))
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assert np.allclose(function(size,F_no_avg),0.0)
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@pytest.mark.parametrize('function',[grid_filters.displacement_fluct_point,
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grid_filters.displacement_fluct_node])
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def test_displacement_fluct_vanishes_avg(self,function):
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"""Ensure that constant F does not result in fluctuating displacement.""" # noqa
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size = np.random.random(3)
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cells = np.random.randint(8,32,(3))
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F = np.broadcast_to(np.random.random((3,3)), tuple(cells)+(3,3))
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assert np.allclose(function(size,F),0.0)
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displacement_fluct_test_data = [
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(['np.sin(np.pi*2*nodes[...,0]/size[0])', '0.0', '0.0',
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