def test2(self):
#generate corners for a simple structured grid
shape = [5, 5]
ind = numpy.indices((shape[0] + 1, shape[1] + 1))
lats = numpy.array(ind[0], dtype=numpy.float)
lats = (0.5 - lats / shape[1]) * numpy.pi
lats[0] = lats[0] - 1e-14
lats = lats[::-1, :]
lons = numpy.array(ind[1], dtype=numpy.float)
lons = lons / ind.shape[1] * 2.0 * numpy.pi
corners = numpy.array([lons, lats])
elements = new_structured_grid(shape,
corners,
axes_names=['lon', 'lat'])
#let the north east corners of each cell be the position of the nodes
positions = numpy.array([lons[1:, 1:], lats[1:, 1:]])
nodes = StructuredGrid(*shape)
nodes.lat = (lats[1:, 1:] | units.rad)
nodes.lon = (lons[1:, 1:] | units.rad)
print(elements, nodes)
grid = StaggeredGrid(elements,
nodes,
get_corners=lambda: numpy.array([lons, lats]))
values = numpy.random.random(shape)
print(values)
elements.values = values
nodes.values = grid.map_elements_to_nodes(values)
print(nodes.values)
remapped_values = grid.map_nodes_to_elements(nodes.values)
print(remapped_values)
before_sum = values.sum()
after_sum = remapped_values.sum()
print('before', before_sum, 'after', after_sum)
self.assertEqual(
after_sum,
before_sum,
msg="Sum of values before and after remapping should be the same")
def test2(self):
#generate corners for a simple structured grid
shape = [5,5]
ind = numpy.indices( (shape[0]+1,shape[1]+1))
lats = numpy.array( ind[0] , dtype=numpy.float)
lats = (0.5-lats/shape[1]) * numpy.pi
lats[0] = lats[0] - 1e-14
lats = lats[::-1,:]
lons = numpy.array( ind[1] , dtype=numpy.float)
lons = lons/ind.shape[1] * 2.0*numpy.pi
corners = numpy.array([lons,lats])
elements = new_structured_grid(shape, corners, axes_names=['lon', 'lat'])
#let the north east corners of each cell be the position of the nodes
positions = numpy.array([lons[1:,1:], lats[1:,1:]])
nodes = StructuredGrid(*shape)
nodes.lat = (lats[1:,1:] | units.rad)
nodes.lon = (lons[1:,1:] | units.rad)
print elements, nodes
grid = StaggeredGrid(elements, nodes, get_corners=lambda: numpy.array([lons, lats]))
values = numpy.random.random(shape)
print values
elements.values = values
nodes.values = grid.map_elements_to_nodes(values)
print nodes.values
remapped_values = grid.map_nodes_to_elements(nodes.values)
print remapped_values
before_sum = values.sum()
after_sum = remapped_values.sum()
print 'before', before_sum, 'after', after_sum
self.assertEquals(after_sum, before_sum, msg="Sum of values before and after remapping should be the same")
def test3(self):
#define nodal points and triangles of a small test grid
#got this grid from http://matplotlib.org/examples/pylab_examples/triplot_demo.html
xy = numpy.asarray([
[-0.101, 0.872], [-0.080, 0.883], [-0.069, 0.888], [-0.054, 0.890],
[-0.045, 0.897], [-0.057, 0.895], [-0.073, 0.900], [-0.087, 0.898],
[-0.090, 0.904], [-0.069, 0.907], [-0.069, 0.921], [-0.080, 0.919],
[-0.073, 0.928], [-0.052, 0.930], [-0.048, 0.942], [-0.062, 0.949],
[-0.054, 0.958], [-0.069, 0.954], [-0.087, 0.952], [-0.087, 0.959],
[-0.080, 0.966], [-0.085, 0.973], [-0.087, 0.965], [-0.097, 0.965],
[-0.097, 0.975], [-0.092, 0.984], [-0.101, 0.980], [-0.108, 0.980],
[-0.104, 0.987], [-0.102, 0.993], [-0.115, 1.001], [-0.099, 0.996],
[-0.101, 1.007], [-0.090, 1.010], [-0.087, 1.021], [-0.069, 1.021],
[-0.052, 1.022], [-0.052, 1.017], [-0.069, 1.010], [-0.064, 1.005],
[-0.048, 1.005], [-0.031, 1.005], [-0.031, 0.996], [-0.040, 0.987],
[-0.045, 0.980], [-0.052, 0.975], [-0.040, 0.973], [-0.026, 0.968],
[-0.020, 0.954], [-0.006, 0.947], [ 0.003, 0.935], [ 0.006, 0.926],
[ 0.005, 0.921], [ 0.022, 0.923], [ 0.033, 0.912], [ 0.029, 0.905],
[ 0.017, 0.900], [ 0.012, 0.895], [ 0.027, 0.893], [ 0.019, 0.886],
[ 0.001, 0.883], [-0.012, 0.884], [-0.029, 0.883], [-0.038, 0.879],
[-0.057, 0.881], [-0.062, 0.876], [-0.078, 0.876], [-0.087, 0.872],
[-0.030, 0.907], [-0.007, 0.905], [-0.057, 0.916], [-0.025, 0.933],
[-0.077, 0.990], [-0.059, 0.993]])
triangles = numpy.asarray([
[67, 66, 1], [65, 2, 66], [ 1, 66, 2], [64, 2, 65], [63, 3, 64],
[60, 59, 57], [ 2, 64, 3], [ 3, 63, 4], [ 0, 67, 1], [62, 4, 63],
[57, 59, 56], [59, 58, 56], [61, 60, 69], [57, 69, 60], [ 4, 62, 68],
[ 6, 5, 9], [61, 68, 62], [69, 68, 61], [ 9, 5, 70], [ 6, 8, 7],
[ 4, 70, 5], [ 8, 6, 9], [56, 69, 57], [69, 56, 52], [70, 10, 9],
[54, 53, 55], [56, 55, 53], [68, 70, 4], [52, 56, 53], [11, 10, 12],
[69, 71, 68], [68, 13, 70], [10, 70, 13], [51, 50, 52], [13, 68, 71],
[52, 71, 69], [12, 10, 13], [71, 52, 50], [71, 14, 13], [50, 49, 71],
[49, 48, 71], [14, 16, 15], [14, 71, 48], [17, 19, 18], [17, 20, 19],
[48, 16, 14], [48, 47, 16], [47, 46, 16], [16, 46, 45], [23, 22, 24],
[21, 24, 22], [17, 16, 45], [20, 17, 45], [21, 25, 24], [27, 26, 28],
[20, 72, 21], [25, 21, 72], [45, 72, 20], [25, 28, 26], [44, 73, 45],
[72, 45, 73], [28, 25, 29], [29, 25, 31], [43, 73, 44], [73, 43, 40],
[72, 73, 39], [72, 31, 25], [42, 40, 43], [31, 30, 29], [39, 73, 40],
[42, 41, 40], [72, 33, 31], [32, 31, 33], [39, 38, 72], [33, 72, 38],
[33, 38, 34], [37, 35, 38], [34, 38, 35], [35, 37, 36]])
num_elems = len(triangles)
elements = UnstructuredGrid(num_elems)
elements.n1 = triangles[:,0] - 1
elements.n2 = triangles[:,1] - 1
elements.n3 = triangles[:,2] - 1
nodes = UnstructuredGrid(len(xy))
nodes.lon = (xy[:,0] | units.rad)
nodes.lat = (xy[:,1] | units.rad)
grid = StaggeredGrid(elements, nodes)
values = numpy.random.random(num_elems)
print values
elements.values = values
nodes.values = grid.map_elements_to_nodes(values)
print nodes.values
remapped_values = grid.map_nodes_to_elements(nodes.values)
print remapped_values
before_sum = values.sum()
after_sum = remapped_values.sum()
print 'before', before_sum, 'after', after_sum
self.assertAlmostEquals(after_sum, before_sum, msg="Sum of values before and after remapping should be the same")
def test3(self):
#define nodal points and triangles of a small test grid
#got this grid from http://matplotlib.org/examples/pylab_examples/triplot_demo.html
xy = numpy.asarray([[-0.101, 0.872], [-0.080, 0.883], [-0.069, 0.888],
[-0.054, 0.890], [-0.045, 0.897], [-0.057, 0.895],
[-0.073, 0.900], [-0.087, 0.898], [-0.090, 0.904],
[-0.069, 0.907], [-0.069, 0.921], [-0.080, 0.919],
[-0.073, 0.928], [-0.052, 0.930], [-0.048, 0.942],
[-0.062, 0.949], [-0.054, 0.958], [-0.069, 0.954],
[-0.087, 0.952], [-0.087, 0.959], [-0.080, 0.966],
[-0.085, 0.973], [-0.087, 0.965], [-0.097, 0.965],
[-0.097, 0.975], [-0.092, 0.984], [-0.101, 0.980],
[-0.108, 0.980], [-0.104, 0.987], [-0.102, 0.993],
[-0.115, 1.001], [-0.099, 0.996], [-0.101, 1.007],
[-0.090, 1.010], [-0.087, 1.021], [-0.069, 1.021],
[-0.052, 1.022], [-0.052, 1.017], [-0.069, 1.010],
[-0.064, 1.005], [-0.048, 1.005], [-0.031, 1.005],
[-0.031, 0.996], [-0.040, 0.987], [-0.045, 0.980],
[-0.052, 0.975], [-0.040, 0.973], [-0.026, 0.968],
[-0.020, 0.954], [-0.006, 0.947], [0.003, 0.935],
[0.006, 0.926], [0.005, 0.921], [0.022, 0.923],
[0.033, 0.912], [0.029, 0.905], [0.017, 0.900],
[0.012, 0.895], [0.027, 0.893], [0.019, 0.886],
[0.001, 0.883], [-0.012, 0.884], [-0.029, 0.883],
[-0.038, 0.879], [-0.057, 0.881], [-0.062, 0.876],
[-0.078, 0.876], [-0.087, 0.872], [-0.030, 0.907],
[-0.007, 0.905], [-0.057, 0.916], [-0.025, 0.933],
[-0.077, 0.990], [-0.059, 0.993]])
triangles = numpy.asarray([[67, 66, 1], [65, 2, 66], [1, 66, 2],
[64, 2, 65], [63, 3, 64], [60, 59, 57],
[2, 64, 3], [3, 63, 4], [0, 67, 1],
[62, 4, 63], [57, 59, 56], [59, 58, 56],
[61, 60, 69], [57, 69, 60], [4, 62, 68],
[6, 5, 9], [61, 68, 62], [69, 68, 61],
[9, 5, 70], [6, 8, 7], [4, 70, 5],
[8, 6, 9], [56, 69, 57], [69, 56, 52],
[70, 10, 9], [54, 53, 55], [56, 55, 53],
[68, 70, 4], [52, 56, 53], [11, 10, 12],
[69, 71, 68], [68, 13, 70], [10, 70, 13],
[51, 50, 52], [13, 68, 71], [52, 71, 69],
[12, 10, 13], [71, 52, 50], [71, 14, 13],
[50, 49, 71], [49, 48, 71], [14, 16, 15],
[14, 71, 48], [17, 19, 18], [17, 20, 19],
[48, 16, 14], [48, 47, 16], [47, 46, 16],
[16, 46, 45], [23, 22, 24], [21, 24, 22],
[17, 16, 45], [20, 17, 45], [21, 25, 24],
[27, 26, 28], [20, 72, 21], [25, 21, 72],
[45, 72, 20], [25, 28, 26], [44, 73, 45],
[72, 45, 73], [28, 25, 29], [29, 25, 31],
[43, 73, 44], [73, 43, 40], [72, 73, 39],
[72, 31, 25], [42, 40, 43], [31, 30, 29],
[39, 73, 40], [42, 41, 40], [72, 33, 31],
[32, 31, 33], [39, 38, 72], [33, 72, 38],
[33, 38, 34], [37, 35, 38], [34, 38, 35],
[35, 37, 36]])
num_elems = len(triangles)
elements = UnstructuredGrid(num_elems)
elements.n1 = triangles[:, 0] - 1
elements.n2 = triangles[:, 1] - 1
elements.n3 = triangles[:, 2] - 1
nodes = UnstructuredGrid(len(xy))
nodes.lon = (xy[:, 0] | units.rad)
nodes.lat = (xy[:, 1] | units.rad)
grid = StaggeredGrid(elements, nodes)
values = numpy.random.random(num_elems)
print(values)
elements.values = values
nodes.values = grid.map_elements_to_nodes(values)
print(nodes.values)
remapped_values = grid.map_nodes_to_elements(nodes.values)
print(remapped_values)
before_sum = values.sum()
after_sum = remapped_values.sum()
print('before', before_sum, 'after', after_sum)
self.assertAlmostEqual(
after_sum,
before_sum,
msg="Sum of values before and after remapping should be the same")
