| 1 | #!/usr/bin/env python |
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| 2 | |
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| 3 | |
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| 4 | import unittest |
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| 5 | from Numeric import zeros, array, allclose, Float |
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| 6 | from math import sqrt, pi |
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| 7 | import tempfile |
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| 8 | |
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| 9 | from util import * |
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| 10 | from config import epsilon |
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| 11 | from data_manager import timefile2netcdf |
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| 12 | |
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| 13 | from utilities.numerical_tools import INF |
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| 14 | |
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| 15 | def test_function(x, y): |
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| 16 | return x+y |
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| 17 | |
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| 18 | class Test_Util(unittest.TestCase): |
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| 19 | def setUp(self): |
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| 20 | pass |
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| 21 | |
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| 22 | def tearDown(self): |
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| 23 | pass |
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| 24 | |
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| 25 | |
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| 26 | |
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| 27 | |
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| 28 | #Geometric |
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| 29 | #def test_distance(self): |
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| 30 | # from util import distance# |
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| 31 | # |
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| 32 | # self.failUnless( distance([4,2],[7,6]) == 5.0, |
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| 33 | # 'Distance is wrong!') |
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| 34 | # self.failUnless( allclose(distance([7,6],[9,8]), 2.82842712475), |
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| 35 | # 'distance is wrong!') |
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| 36 | # self.failUnless( allclose(distance([9,8],[4,2]), 7.81024967591), |
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| 37 | # 'distance is wrong!') |
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| 38 | # |
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| 39 | # self.failUnless( distance([9,8],[4,2]) == distance([4,2],[9,8]), |
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| 40 | # 'distance is wrong!') |
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| 41 | |
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| 42 | |
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| 43 | def test_file_function_time1(self): |
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| 44 | """Test that File function interpolates correctly |
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| 45 | between given times. No x,y dependency here. |
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| 46 | """ |
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| 47 | |
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| 48 | #Write file |
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| 49 | import os, time |
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| 50 | from config import time_format |
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| 51 | from math import sin, pi |
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| 52 | |
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| 53 | #Typical ASCII file |
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| 54 | finaltime = 1200 |
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| 55 | filename = 'test_file_function' |
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| 56 | fid = open(filename + '.txt', 'w') |
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| 57 | start = time.mktime(time.strptime('2000', '%Y')) |
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| 58 | dt = 60 #One minute intervals |
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| 59 | t = 0.0 |
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| 60 | while t <= finaltime: |
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| 61 | t_string = time.strftime(time_format, time.gmtime(t+start)) |
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| 62 | fid.write('%s, %f %f %f\n' %(t_string, 2*t, t**2, sin(t*pi/600))) |
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| 63 | t += dt |
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| 64 | |
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| 65 | fid.close() |
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| 66 | |
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| 67 | #Convert ASCII file to NetCDF (Which is what we really like!) |
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| 68 | timefile2netcdf(filename) |
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| 69 | |
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| 70 | |
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| 71 | #Create file function from time series |
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| 72 | F = file_function(filename + '.tms', |
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| 73 | quantities = ['Attribute0', |
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| 74 | 'Attribute1', |
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| 75 | 'Attribute2']) |
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| 76 | |
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| 77 | #Now try interpolation |
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| 78 | for i in range(20): |
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| 79 | t = i*10 |
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| 80 | q = F(t) |
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| 81 | |
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| 82 | #Exact linear intpolation |
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| 83 | assert allclose(q[0], 2*t) |
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| 84 | if i%6 == 0: |
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| 85 | assert allclose(q[1], t**2) |
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| 86 | assert allclose(q[2], sin(t*pi/600)) |
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| 87 | |
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| 88 | #Check non-exact |
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| 89 | |
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| 90 | t = 90 #Halfway between 60 and 120 |
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| 91 | q = F(t) |
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| 92 | assert allclose( (120**2 + 60**2)/2, q[1] ) |
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| 93 | assert allclose( (sin(120*pi/600) + sin(60*pi/600))/2, q[2] ) |
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| 94 | |
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| 95 | |
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| 96 | t = 100 #Two thirds of the way between between 60 and 120 |
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| 97 | q = F(t) |
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| 98 | assert allclose( 2*120**2/3 + 60**2/3, q[1] ) |
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| 99 | assert allclose( 2*sin(120*pi/600)/3 + sin(60*pi/600)/3, q[2] ) |
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| 100 | |
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| 101 | os.remove(filename + '.txt') |
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| 102 | os.remove(filename + '.tms') |
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| 103 | |
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| 104 | |
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| 105 | |
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| 106 | def test_spatio_temporal_file_function_basic(self): |
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| 107 | """Test that spatio temporal file function performs the correct |
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| 108 | interpolations in both time and space |
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| 109 | NetCDF version (x,y,t dependency) |
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| 110 | """ |
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| 111 | import time |
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| 112 | |
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| 113 | #Create sww file of simple propagation from left to right |
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| 114 | #through rectangular domain |
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| 115 | from shallow_water import Domain, Dirichlet_boundary |
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| 116 | from mesh_factory import rectangular |
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| 117 | from Numeric import take, concatenate, reshape |
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| 118 | |
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| 119 | #Create basic mesh and shallow water domain |
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| 120 | points, vertices, boundary = rectangular(3, 3) |
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| 121 | domain1 = Domain(points, vertices, boundary) |
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| 122 | |
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| 123 | from utilities.numerical_tools import mean |
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| 124 | domain1.reduction = mean |
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| 125 | domain1.smooth = True #NOTE: Mimic sww output where each vertex has |
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| 126 | # only one value. |
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| 127 | |
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| 128 | domain1.default_order = 2 |
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| 129 | domain1.store = True |
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| 130 | domain1.set_datadir('.') |
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| 131 | domain1.set_name('spatio_temporal_boundary_source_%d' %(id(self))) |
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| 132 | domain1.quantities_to_be_stored = ['stage', 'xmomentum', 'ymomentum'] |
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| 133 | |
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| 134 | #Bed-slope, friction and IC at vertices (and interpolated elsewhere) |
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| 135 | domain1.set_quantity('elevation', 0) |
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| 136 | domain1.set_quantity('friction', 0) |
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| 137 | domain1.set_quantity('stage', 0) |
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| 138 | |
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| 139 | # Boundary conditions |
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| 140 | B0 = Dirichlet_boundary([0,0,0]) |
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| 141 | B6 = Dirichlet_boundary([0.6,0,0]) |
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| 142 | domain1.set_boundary({'left': B6, 'top': B6, 'right': B0, 'bottom': B0}) |
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| 143 | domain1.check_integrity() |
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| 144 | |
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| 145 | finaltime = 8 |
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| 146 | #Evolution |
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| 147 | t0 = -1 |
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| 148 | for t in domain1.evolve(yieldstep = 0.1, finaltime = finaltime): |
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| 149 | #print 'Timesteps: %.16f, %.16f' %(t0, t) |
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| 150 | #if t == t0: |
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| 151 | # msg = 'Duplicate timestep found: %f, %f' %(t0, t) |
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| 152 | # raise msg |
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| 153 | t0 = t |
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| 154 | |
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| 155 | #domain1.write_time() |
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| 156 | |
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| 157 | |
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| 158 | #Now read data from sww and check |
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| 159 | from Scientific.IO.NetCDF import NetCDFFile |
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| 160 | filename = domain1.get_name() + '.' + domain1.format |
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| 161 | fid = NetCDFFile(filename) |
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| 162 | |
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| 163 | x = fid.variables['x'][:] |
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| 164 | y = fid.variables['y'][:] |
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| 165 | stage = fid.variables['stage'][:] |
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| 166 | xmomentum = fid.variables['xmomentum'][:] |
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| 167 | ymomentum = fid.variables['ymomentum'][:] |
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| 168 | time = fid.variables['time'][:] |
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| 169 | |
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| 170 | #Take stage vertex values at last timestep on diagonal |
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| 171 | #Diagonal is identified by vertices: 0, 5, 10, 15 |
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| 172 | |
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| 173 | last_time_index = len(time)-1 #Last last_time_index |
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| 174 | d_stage = reshape(take(stage[last_time_index, :], [0,5,10,15]), (4,1)) |
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| 175 | d_uh = reshape(take(xmomentum[last_time_index, :], [0,5,10,15]), (4,1)) |
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| 176 | d_vh = reshape(take(ymomentum[last_time_index, :], [0,5,10,15]), (4,1)) |
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| 177 | D = concatenate( (d_stage, d_uh, d_vh), axis=1) |
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| 178 | |
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| 179 | #Reference interpolated values at midpoints on diagonal at |
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| 180 | #this timestep are |
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| 181 | r0 = (D[0] + D[1])/2 |
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| 182 | r1 = (D[1] + D[2])/2 |
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| 183 | r2 = (D[2] + D[3])/2 |
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| 184 | |
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| 185 | #And the midpoints are found now |
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| 186 | Dx = take(reshape(x, (16,1)), [0,5,10,15]) |
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| 187 | Dy = take(reshape(y, (16,1)), [0,5,10,15]) |
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| 188 | |
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| 189 | diag = concatenate( (Dx, Dy), axis=1) |
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| 190 | d_midpoints = (diag[1:] + diag[:-1])/2 |
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| 191 | |
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| 192 | #Let us see if the file function can find the correct |
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| 193 | #values at the midpoints at the last timestep: |
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| 194 | f = file_function(filename, domain1, |
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| 195 | interpolation_points = d_midpoints) |
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| 196 | |
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| 197 | msg = 'duplicate timesteps: %.16f and %.16f' %(f.T[-1], f.T[-2]) |
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| 198 | assert not f.T[-1] == f.T[-2], msg |
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| 199 | t = time[last_time_index] |
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| 200 | q = f(t, point_id=0); assert allclose(r0, q) |
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| 201 | q = f(t, point_id=1); assert allclose(r1, q) |
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| 202 | q = f(t, point_id=2); assert allclose(r2, q) |
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| 203 | |
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| 204 | |
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| 205 | ################## |
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| 206 | #Now do the same for the first timestep |
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| 207 | |
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| 208 | timestep = 0 #First timestep |
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| 209 | d_stage = reshape(take(stage[timestep, :], [0,5,10,15]), (4,1)) |
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| 210 | d_uh = reshape(take(xmomentum[timestep, :], [0,5,10,15]), (4,1)) |
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| 211 | d_vh = reshape(take(ymomentum[timestep, :], [0,5,10,15]), (4,1)) |
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| 212 | D = concatenate( (d_stage, d_uh, d_vh), axis=1) |
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| 213 | |
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| 214 | #Reference interpolated values at midpoints on diagonal at |
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| 215 | #this timestep are |
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| 216 | r0 = (D[0] + D[1])/2 |
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| 217 | r1 = (D[1] + D[2])/2 |
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| 218 | r2 = (D[2] + D[3])/2 |
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| 219 | |
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| 220 | #Let us see if the file function can find the correct |
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| 221 | #values |
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| 222 | q = f(0, point_id=0); assert allclose(r0, q) |
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| 223 | q = f(0, point_id=1); assert allclose(r1, q) |
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| 224 | q = f(0, point_id=2); assert allclose(r2, q) |
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| 225 | |
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| 226 | |
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| 227 | ################## |
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| 228 | #Now do it again for a timestep in the middle |
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| 229 | |
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| 230 | timestep = 33 |
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| 231 | d_stage = reshape(take(stage[timestep, :], [0,5,10,15]), (4,1)) |
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| 232 | d_uh = reshape(take(xmomentum[timestep, :], [0,5,10,15]), (4,1)) |
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| 233 | d_vh = reshape(take(ymomentum[timestep, :], [0,5,10,15]), (4,1)) |
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| 234 | D = concatenate( (d_stage, d_uh, d_vh), axis=1) |
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| 235 | |
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| 236 | #Reference interpolated values at midpoints on diagonal at |
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| 237 | #this timestep are |
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| 238 | r0 = (D[0] + D[1])/2 |
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| 239 | r1 = (D[1] + D[2])/2 |
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| 240 | r2 = (D[2] + D[3])/2 |
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| 241 | |
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| 242 | q = f(timestep/10., point_id=0); assert allclose(r0, q) |
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| 243 | q = f(timestep/10., point_id=1); assert allclose(r1, q) |
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| 244 | q = f(timestep/10., point_id=2); assert allclose(r2, q) |
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| 245 | |
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| 246 | |
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| 247 | ################## |
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| 248 | #Now check temporal interpolation |
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| 249 | #Halfway between timestep 15 and 16 |
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| 250 | |
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| 251 | timestep = 15 |
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| 252 | d_stage = reshape(take(stage[timestep, :], [0,5,10,15]), (4,1)) |
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| 253 | d_uh = reshape(take(xmomentum[timestep, :], [0,5,10,15]), (4,1)) |
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| 254 | d_vh = reshape(take(ymomentum[timestep, :], [0,5,10,15]), (4,1)) |
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| 255 | D = concatenate( (d_stage, d_uh, d_vh), axis=1) |
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| 256 | |
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| 257 | #Reference interpolated values at midpoints on diagonal at |
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| 258 | #this timestep are |
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| 259 | r0_0 = (D[0] + D[1])/2 |
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| 260 | r1_0 = (D[1] + D[2])/2 |
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| 261 | r2_0 = (D[2] + D[3])/2 |
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| 262 | |
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| 263 | # |
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| 264 | timestep = 16 |
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| 265 | d_stage = reshape(take(stage[timestep, :], [0,5,10,15]), (4,1)) |
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| 266 | d_uh = reshape(take(xmomentum[timestep, :], [0,5,10,15]), (4,1)) |
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| 267 | d_vh = reshape(take(ymomentum[timestep, :], [0,5,10,15]), (4,1)) |
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| 268 | D = concatenate( (d_stage, d_uh, d_vh), axis=1) |
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| 269 | |
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| 270 | #Reference interpolated values at midpoints on diagonal at |
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| 271 | #this timestep are |
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| 272 | r0_1 = (D[0] + D[1])/2 |
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| 273 | r1_1 = (D[1] + D[2])/2 |
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| 274 | r2_1 = (D[2] + D[3])/2 |
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| 275 | |
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| 276 | # The reference values are |
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| 277 | r0 = (r0_0 + r0_1)/2 |
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| 278 | r1 = (r1_0 + r1_1)/2 |
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| 279 | r2 = (r2_0 + r2_1)/2 |
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| 280 | |
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| 281 | q = f((timestep - 0.5)/10., point_id=0); assert allclose(r0, q) |
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| 282 | q = f((timestep - 0.5)/10., point_id=1); assert allclose(r1, q) |
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| 283 | q = f((timestep - 0.5)/10., point_id=2); assert allclose(r2, q) |
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| 284 | |
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| 285 | ################## |
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| 286 | #Finally check interpolation 2 thirds of the way |
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| 287 | #between timestep 15 and 16 |
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| 288 | |
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| 289 | # The reference values are |
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| 290 | r0 = (r0_0 + 2*r0_1)/3 |
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| 291 | r1 = (r1_0 + 2*r1_1)/3 |
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| 292 | r2 = (r2_0 + 2*r2_1)/3 |
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| 293 | |
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| 294 | #And the file function gives |
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| 295 | q = f((timestep - 1.0/3)/10., point_id=0); assert allclose(r0, q) |
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| 296 | q = f((timestep - 1.0/3)/10., point_id=1); assert allclose(r1, q) |
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| 297 | q = f((timestep - 1.0/3)/10., point_id=2); assert allclose(r2, q) |
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| 298 | |
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| 299 | fid.close() |
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| 300 | import os |
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| 301 | os.remove(filename) |
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| 302 | |
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| 303 | |
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| 304 | |
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| 305 | def test_spatio_temporal_file_function_different_origin(self): |
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| 306 | """Test that spatio temporal file function performs the correct |
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| 307 | interpolations in both time and space where space is offset by |
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| 308 | xllcorner and yllcorner |
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| 309 | NetCDF version (x,y,t dependency) |
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| 310 | """ |
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| 311 | import time |
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| 312 | |
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| 313 | #Create sww file of simple propagation from left to right |
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| 314 | #through rectangular domain |
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| 315 | from shallow_water import Domain, Dirichlet_boundary |
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| 316 | from mesh_factory import rectangular |
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| 317 | from Numeric import take, concatenate, reshape |
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| 318 | |
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| 319 | |
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| 320 | from coordinate_transforms.geo_reference import Geo_reference |
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| 321 | xllcorner = 2048 |
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| 322 | yllcorner = 11000 |
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| 323 | zone = 2 |
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| 324 | |
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| 325 | #Create basic mesh and shallow water domain |
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| 326 | points, vertices, boundary = rectangular(3, 3) |
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| 327 | domain1 = Domain(points, vertices, boundary, |
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| 328 | geo_reference = Geo_reference(xllcorner = xllcorner, |
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| 329 | yllcorner = yllcorner)) |
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| 330 | |
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| 331 | |
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| 332 | from utilities.numerical_tools import mean |
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| 333 | domain1.reduction = mean |
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| 334 | domain1.smooth = True #NOTE: Mimic sww output where each vertex has |
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| 335 | # only one value. |
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| 336 | |
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| 337 | domain1.default_order = 2 |
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| 338 | domain1.store = True |
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| 339 | domain1.set_datadir('.') |
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| 340 | domain1.set_name('spatio_temporal_boundary_source_%d' %(id(self))) |
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| 341 | domain1.quantities_to_be_stored = ['stage', 'xmomentum', 'ymomentum'] |
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| 342 | |
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| 343 | #Bed-slope, friction and IC at vertices (and interpolated elsewhere) |
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| 344 | domain1.set_quantity('elevation', 0) |
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| 345 | domain1.set_quantity('friction', 0) |
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| 346 | domain1.set_quantity('stage', 0) |
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| 347 | |
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| 348 | # Boundary conditions |
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| 349 | B0 = Dirichlet_boundary([0,0,0]) |
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| 350 | B6 = Dirichlet_boundary([0.6,0,0]) |
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| 351 | domain1.set_boundary({'left': B6, 'top': B6, 'right': B0, 'bottom': B0}) |
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| 352 | domain1.check_integrity() |
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| 353 | |
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| 354 | finaltime = 8 |
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| 355 | #Evolution |
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| 356 | for t in domain1.evolve(yieldstep = 0.1, finaltime = finaltime): |
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| 357 | pass |
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| 358 | #domain1.write_time() |
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| 359 | |
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| 360 | |
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| 361 | #Now read data from sww and check |
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| 362 | from Scientific.IO.NetCDF import NetCDFFile |
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| 363 | filename = domain1.get_name() + '.' + domain1.format |
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| 364 | fid = NetCDFFile(filename) |
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| 365 | |
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| 366 | x = fid.variables['x'][:] |
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| 367 | y = fid.variables['y'][:] |
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| 368 | stage = fid.variables['stage'][:] |
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| 369 | xmomentum = fid.variables['xmomentum'][:] |
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| 370 | ymomentum = fid.variables['ymomentum'][:] |
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| 371 | time = fid.variables['time'][:] |
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| 372 | |
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| 373 | #Take stage vertex values at last timestep on diagonal |
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| 374 | #Diagonal is identified by vertices: 0, 5, 10, 15 |
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| 375 | |
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| 376 | last_time_index = len(time)-1 #Last last_time_index |
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| 377 | d_stage = reshape(take(stage[last_time_index, :], [0,5,10,15]), (4,1)) |
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| 378 | d_uh = reshape(take(xmomentum[last_time_index, :], [0,5,10,15]), (4,1)) |
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| 379 | d_vh = reshape(take(ymomentum[last_time_index, :], [0,5,10,15]), (4,1)) |
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| 380 | D = concatenate( (d_stage, d_uh, d_vh), axis=1) |
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| 381 | |
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| 382 | #Reference interpolated values at midpoints on diagonal at |
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| 383 | #this timestep are |
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| 384 | r0 = (D[0] + D[1])/2 |
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| 385 | r1 = (D[1] + D[2])/2 |
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| 386 | r2 = (D[2] + D[3])/2 |
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| 387 | |
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| 388 | #And the midpoints are found now |
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| 389 | Dx = take(reshape(x, (16,1)), [0,5,10,15]) |
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| 390 | Dy = take(reshape(y, (16,1)), [0,5,10,15]) |
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| 391 | |
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| 392 | diag = concatenate( (Dx, Dy), axis=1) |
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| 393 | d_midpoints = (diag[1:] + diag[:-1])/2 |
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| 394 | |
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| 395 | |
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| 396 | #Adjust for georef - make interpolation points absolute |
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| 397 | d_midpoints[:,0] += xllcorner |
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| 398 | d_midpoints[:,1] += yllcorner |
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| 399 | |
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| 400 | #Let us see if the file function can find the correct |
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| 401 | #values at the midpoints at the last timestep: |
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| 402 | f = file_function(filename, domain1, |
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| 403 | interpolation_points = d_midpoints) |
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| 404 | |
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| 405 | t = time[last_time_index] |
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| 406 | q = f(t, point_id=0); assert allclose(r0, q) |
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| 407 | q = f(t, point_id=1); assert allclose(r1, q) |
|---|
| 408 | q = f(t, point_id=2); assert allclose(r2, q) |
|---|
| 409 | |
|---|
| 410 | |
|---|
| 411 | ################## |
|---|
| 412 | #Now do the same for the first timestep |
|---|
| 413 | |
|---|
| 414 | timestep = 0 #First timestep |
|---|
| 415 | d_stage = reshape(take(stage[timestep, :], [0,5,10,15]), (4,1)) |
|---|
| 416 | d_uh = reshape(take(xmomentum[timestep, :], [0,5,10,15]), (4,1)) |
|---|
| 417 | d_vh = reshape(take(ymomentum[timestep, :], [0,5,10,15]), (4,1)) |
|---|
| 418 | D = concatenate( (d_stage, d_uh, d_vh), axis=1) |
|---|
| 419 | |
|---|
| 420 | #Reference interpolated values at midpoints on diagonal at |
|---|
| 421 | #this timestep are |
|---|
| 422 | r0 = (D[0] + D[1])/2 |
|---|
| 423 | r1 = (D[1] + D[2])/2 |
|---|
| 424 | r2 = (D[2] + D[3])/2 |
|---|
| 425 | |
|---|
| 426 | #Let us see if the file function can find the correct |
|---|
| 427 | #values |
|---|
| 428 | q = f(0, point_id=0); assert allclose(r0, q) |
|---|
| 429 | q = f(0, point_id=1); assert allclose(r1, q) |
|---|
| 430 | q = f(0, point_id=2); assert allclose(r2, q) |
|---|
| 431 | |
|---|
| 432 | |
|---|
| 433 | ################## |
|---|
| 434 | #Now do it again for a timestep in the middle |
|---|
| 435 | |
|---|
| 436 | timestep = 33 |
|---|
| 437 | d_stage = reshape(take(stage[timestep, :], [0,5,10,15]), (4,1)) |
|---|
| 438 | d_uh = reshape(take(xmomentum[timestep, :], [0,5,10,15]), (4,1)) |
|---|
| 439 | d_vh = reshape(take(ymomentum[timestep, :], [0,5,10,15]), (4,1)) |
|---|
| 440 | D = concatenate( (d_stage, d_uh, d_vh), axis=1) |
|---|
| 441 | |
|---|
| 442 | #Reference interpolated values at midpoints on diagonal at |
|---|
| 443 | #this timestep are |
|---|
| 444 | r0 = (D[0] + D[1])/2 |
|---|
| 445 | r1 = (D[1] + D[2])/2 |
|---|
| 446 | r2 = (D[2] + D[3])/2 |
|---|
| 447 | |
|---|
| 448 | q = f(timestep/10., point_id=0); assert allclose(r0, q) |
|---|
| 449 | q = f(timestep/10., point_id=1); assert allclose(r1, q) |
|---|
| 450 | q = f(timestep/10., point_id=2); assert allclose(r2, q) |
|---|
| 451 | |
|---|
| 452 | |
|---|
| 453 | ################## |
|---|
| 454 | #Now check temporal interpolation |
|---|
| 455 | #Halfway between timestep 15 and 16 |
|---|
| 456 | |
|---|
| 457 | timestep = 15 |
|---|
| 458 | d_stage = reshape(take(stage[timestep, :], [0,5,10,15]), (4,1)) |
|---|
| 459 | d_uh = reshape(take(xmomentum[timestep, :], [0,5,10,15]), (4,1)) |
|---|
| 460 | d_vh = reshape(take(ymomentum[timestep, :], [0,5,10,15]), (4,1)) |
|---|
| 461 | D = concatenate( (d_stage, d_uh, d_vh), axis=1) |
|---|
| 462 | |
|---|
| 463 | #Reference interpolated values at midpoints on diagonal at |
|---|
| 464 | #this timestep are |
|---|
| 465 | r0_0 = (D[0] + D[1])/2 |
|---|
| 466 | r1_0 = (D[1] + D[2])/2 |
|---|
| 467 | r2_0 = (D[2] + D[3])/2 |
|---|
| 468 | |
|---|
| 469 | # |
|---|
| 470 | timestep = 16 |
|---|
| 471 | d_stage = reshape(take(stage[timestep, :], [0,5,10,15]), (4,1)) |
|---|
| 472 | d_uh = reshape(take(xmomentum[timestep, :], [0,5,10,15]), (4,1)) |
|---|
| 473 | d_vh = reshape(take(ymomentum[timestep, :], [0,5,10,15]), (4,1)) |
|---|
| 474 | D = concatenate( (d_stage, d_uh, d_vh), axis=1) |
|---|
| 475 | |
|---|
| 476 | #Reference interpolated values at midpoints on diagonal at |
|---|
| 477 | #this timestep are |
|---|
| 478 | r0_1 = (D[0] + D[1])/2 |
|---|
| 479 | r1_1 = (D[1] + D[2])/2 |
|---|
| 480 | r2_1 = (D[2] + D[3])/2 |
|---|
| 481 | |
|---|
| 482 | # The reference values are |
|---|
| 483 | r0 = (r0_0 + r0_1)/2 |
|---|
| 484 | r1 = (r1_0 + r1_1)/2 |
|---|
| 485 | r2 = (r2_0 + r2_1)/2 |
|---|
| 486 | |
|---|
| 487 | q = f((timestep - 0.5)/10., point_id=0); assert allclose(r0, q) |
|---|
| 488 | q = f((timestep - 0.5)/10., point_id=1); assert allclose(r1, q) |
|---|
| 489 | q = f((timestep - 0.5)/10., point_id=2); assert allclose(r2, q) |
|---|
| 490 | |
|---|
| 491 | ################## |
|---|
| 492 | #Finally check interpolation 2 thirds of the way |
|---|
| 493 | #between timestep 15 and 16 |
|---|
| 494 | |
|---|
| 495 | # The reference values are |
|---|
| 496 | r0 = (r0_0 + 2*r0_1)/3 |
|---|
| 497 | r1 = (r1_0 + 2*r1_1)/3 |
|---|
| 498 | r2 = (r2_0 + 2*r2_1)/3 |
|---|
| 499 | |
|---|
| 500 | #And the file function gives |
|---|
| 501 | q = f((timestep - 1.0/3)/10., point_id=0); assert allclose(r0, q) |
|---|
| 502 | q = f((timestep - 1.0/3)/10., point_id=1); assert allclose(r1, q) |
|---|
| 503 | q = f((timestep - 1.0/3)/10., point_id=2); assert allclose(r2, q) |
|---|
| 504 | |
|---|
| 505 | fid.close() |
|---|
| 506 | import os |
|---|
| 507 | os.remove(filename) |
|---|
| 508 | |
|---|
| 509 | |
|---|
| 510 | |
|---|
| 511 | |
|---|
| 512 | def qtest_spatio_temporal_file_function_time(self): |
|---|
| 513 | """Test that File function interpolates correctly |
|---|
| 514 | between given times. |
|---|
| 515 | NetCDF version (x,y,t dependency) |
|---|
| 516 | """ |
|---|
| 517 | |
|---|
| 518 | #Create NetCDF (sww) file to be read |
|---|
| 519 | # x: 0, 5, 10, 15 |
|---|
| 520 | # y: -20, -10, 0, 10 |
|---|
| 521 | # t: 0, 60, 120, ...., 1200 |
|---|
| 522 | # |
|---|
| 523 | # test quantities (arbitrary but non-trivial expressions): |
|---|
| 524 | # |
|---|
| 525 | # stage = 3*x - y**2 + 2*t |
|---|
| 526 | # xmomentum = exp( -((x-7)**2 + (y+5)**2)/20 ) * t**2 |
|---|
| 527 | # ymomentum = x**2 + y**2 * sin(t*pi/600) |
|---|
| 528 | |
|---|
| 529 | #NOTE: Nice test that may render some of the others redundant. |
|---|
| 530 | |
|---|
| 531 | import os, time |
|---|
| 532 | from config import time_format |
|---|
| 533 | from Numeric import sin, pi, exp |
|---|
| 534 | from mesh_factory import rectangular |
|---|
| 535 | from shallow_water import Domain |
|---|
| 536 | import data_manager |
|---|
| 537 | |
|---|
| 538 | finaltime = 1200 |
|---|
| 539 | filename = 'test_file_function' |
|---|
| 540 | |
|---|
| 541 | #Create a domain to hold test grid |
|---|
| 542 | #(0:15, -20:10) |
|---|
| 543 | points, vertices, boundary =\ |
|---|
| 544 | rectangular(4, 4, 15, 30, origin = (0, -20)) |
|---|
| 545 | print "points", points |
|---|
| 546 | |
|---|
| 547 | #print 'Number of elements', len(vertices) |
|---|
| 548 | domain = Domain(points, vertices, boundary) |
|---|
| 549 | domain.smooth = False |
|---|
| 550 | domain.default_order = 2 |
|---|
| 551 | domain.set_datadir('.') |
|---|
| 552 | domain.set_name(filename) |
|---|
| 553 | domain.store = True |
|---|
| 554 | domain.format = 'sww' #Native netcdf visualisation format |
|---|
| 555 | |
|---|
| 556 | #print points |
|---|
| 557 | start = time.mktime(time.strptime('2000', '%Y')) |
|---|
| 558 | domain.starttime = start |
|---|
| 559 | |
|---|
| 560 | |
|---|
| 561 | #Store structure |
|---|
| 562 | domain.initialise_storage() |
|---|
| 563 | |
|---|
| 564 | #Compute artificial time steps and store |
|---|
| 565 | dt = 60 #One minute intervals |
|---|
| 566 | t = 0.0 |
|---|
| 567 | while t <= finaltime: |
|---|
| 568 | #Compute quantities |
|---|
| 569 | f1 = lambda x,y: 3*x - y**2 + 2*t + 4 |
|---|
| 570 | domain.set_quantity('stage', f1) |
|---|
| 571 | |
|---|
| 572 | f2 = lambda x,y: x+y+t**2 |
|---|
| 573 | domain.set_quantity('xmomentum', f2) |
|---|
| 574 | |
|---|
| 575 | f3 = lambda x,y: x**2 + y**2 * sin(t*pi/600) |
|---|
| 576 | domain.set_quantity('ymomentum', f3) |
|---|
| 577 | |
|---|
| 578 | #Store and advance time |
|---|
| 579 | domain.time = t |
|---|
| 580 | domain.store_timestep(domain.conserved_quantities) |
|---|
| 581 | t += dt |
|---|
| 582 | |
|---|
| 583 | |
|---|
| 584 | interpolation_points = [[0,-20], [1,0], [0,1], [1.1, 3.14], [10,-12.5]] |
|---|
| 585 | |
|---|
| 586 | #Deliberately set domain.starttime to too early |
|---|
| 587 | domain.starttime = start - 1 |
|---|
| 588 | |
|---|
| 589 | #Create file function |
|---|
| 590 | F = file_function(filename + '.sww', domain, |
|---|
| 591 | quantities = domain.conserved_quantities, |
|---|
| 592 | interpolation_points = interpolation_points) |
|---|
| 593 | |
|---|
| 594 | #Check that FF updates fixes domain starttime |
|---|
| 595 | assert allclose(domain.starttime, start) |
|---|
| 596 | |
|---|
| 597 | #Check that domain.starttime isn't updated if later |
|---|
| 598 | domain.starttime = start + 1 |
|---|
| 599 | F = file_function(filename + '.sww', domain, |
|---|
| 600 | quantities = domain.conserved_quantities, |
|---|
| 601 | interpolation_points = interpolation_points) |
|---|
| 602 | assert allclose(domain.starttime, start+1) |
|---|
| 603 | domain.starttime = start |
|---|
| 604 | |
|---|
| 605 | |
|---|
| 606 | #Check linear interpolation in time |
|---|
| 607 | F = file_function(filename + '.sww', domain, |
|---|
| 608 | quantities = domain.conserved_quantities, |
|---|
| 609 | interpolation_points = interpolation_points) |
|---|
| 610 | for id in range(len(interpolation_points)): |
|---|
| 611 | x = interpolation_points[id][0] |
|---|
| 612 | y = interpolation_points[id][1] |
|---|
| 613 | |
|---|
| 614 | for i in range(20): |
|---|
| 615 | t = i*10 |
|---|
| 616 | k = i%6 |
|---|
| 617 | |
|---|
| 618 | if k == 0: |
|---|
| 619 | q0 = F(t, point_id=id) |
|---|
| 620 | q1 = F(t+60, point_id=id) |
|---|
| 621 | |
|---|
| 622 | if q0 == INF: |
|---|
| 623 | actual = q0 |
|---|
| 624 | else: |
|---|
| 625 | actual = (k*q1 + (6-k)*q0)/6 |
|---|
| 626 | q = F(t, point_id=id) |
|---|
| 627 | #print i, k, t, q |
|---|
| 628 | #print ' ', q0 |
|---|
| 629 | #print ' ', q1 |
|---|
| 630 | print "q",q |
|---|
| 631 | print "actual", actual |
|---|
| 632 | #print |
|---|
| 633 | if q0 == INF: |
|---|
| 634 | self.failUnless( q == actual, 'Fail!') |
|---|
| 635 | else: |
|---|
| 636 | assert allclose(q, actual) |
|---|
| 637 | |
|---|
| 638 | |
|---|
| 639 | #Another check of linear interpolation in time |
|---|
| 640 | for id in range(len(interpolation_points)): |
|---|
| 641 | q60 = F(60, point_id=id) |
|---|
| 642 | q120 = F(120, point_id=id) |
|---|
| 643 | |
|---|
| 644 | t = 90 #Halfway between 60 and 120 |
|---|
| 645 | q = F(t, point_id=id) |
|---|
| 646 | assert allclose( (q120+q60)/2, q ) |
|---|
| 647 | |
|---|
| 648 | t = 100 #Two thirds of the way between between 60 and 120 |
|---|
| 649 | q = F(t, point_id=id) |
|---|
| 650 | assert allclose(q60/3 + 2*q120/3, q) |
|---|
| 651 | |
|---|
| 652 | |
|---|
| 653 | |
|---|
| 654 | #Check that domain.starttime isn't updated if later than file starttime but earlier |
|---|
| 655 | #than file end time |
|---|
| 656 | delta = 23 |
|---|
| 657 | domain.starttime = start + delta |
|---|
| 658 | F = file_function(filename + '.sww', domain, |
|---|
| 659 | quantities = domain.conserved_quantities, |
|---|
| 660 | interpolation_points = interpolation_points) |
|---|
| 661 | assert allclose(domain.starttime, start+delta) |
|---|
| 662 | |
|---|
| 663 | |
|---|
| 664 | |
|---|
| 665 | |
|---|
| 666 | #Now try interpolation with delta offset |
|---|
| 667 | for id in range(len(interpolation_points)): |
|---|
| 668 | x = interpolation_points[id][0] |
|---|
| 669 | y = interpolation_points[id][1] |
|---|
| 670 | |
|---|
| 671 | for i in range(20): |
|---|
| 672 | t = i*10 |
|---|
| 673 | k = i%6 |
|---|
| 674 | |
|---|
| 675 | if k == 0: |
|---|
| 676 | q0 = F(t-delta, point_id=id) |
|---|
| 677 | q1 = F(t+60-delta, point_id=id) |
|---|
| 678 | |
|---|
| 679 | q = F(t-delta, point_id=id) |
|---|
| 680 | assert allclose(q, (k*q1 + (6-k)*q0)/6) |
|---|
| 681 | |
|---|
| 682 | |
|---|
| 683 | os.remove(filename + '.sww') |
|---|
| 684 | |
|---|
| 685 | |
|---|
| 686 | |
|---|
| 687 | def xtest_spatio_temporal_file_function_time(self): |
|---|
| 688 | # Test that File function interpolates correctly |
|---|
| 689 | # When some points are outside the mesh |
|---|
| 690 | |
|---|
| 691 | import os, time |
|---|
| 692 | from config import time_format |
|---|
| 693 | from Numeric import sin, pi, exp |
|---|
| 694 | from mesh_factory import rectangular |
|---|
| 695 | from shallow_water import Domain |
|---|
| 696 | import data_manager |
|---|
| 697 | from pmesh.mesh_interface import create_mesh_from_regions |
|---|
| 698 | finaltime = 1200 |
|---|
| 699 | |
|---|
| 700 | filename = tempfile.mktemp() |
|---|
| 701 | #print "filename",filename |
|---|
| 702 | filename = 'test_file_function' |
|---|
| 703 | |
|---|
| 704 | meshfilename = tempfile.mktemp(".tsh") |
|---|
| 705 | |
|---|
| 706 | boundary_tags = {'walls':[0,1],'bom':[2]} |
|---|
| 707 | |
|---|
| 708 | polygon_absolute = [[0,-20],[10,-20],[10,15],[-20,15]] |
|---|
| 709 | |
|---|
| 710 | create_mesh_from_regions(polygon_absolute, |
|---|
| 711 | boundary_tags, |
|---|
| 712 | 10000000, |
|---|
| 713 | filename=meshfilename) |
|---|
| 714 | domain = Domain(mesh_filename=meshfilename) |
|---|
| 715 | domain.smooth = False |
|---|
| 716 | domain.default_order = 2 |
|---|
| 717 | domain.set_datadir('.') |
|---|
| 718 | domain.set_name(filename) |
|---|
| 719 | domain.store = True |
|---|
| 720 | domain.format = 'sww' #Native netcdf visualisation format |
|---|
| 721 | |
|---|
| 722 | #print points |
|---|
| 723 | start = time.mktime(time.strptime('2000', '%Y')) |
|---|
| 724 | domain.starttime = start |
|---|
| 725 | |
|---|
| 726 | |
|---|
| 727 | #Store structure |
|---|
| 728 | domain.initialise_storage() |
|---|
| 729 | |
|---|
| 730 | #Compute artificial time steps and store |
|---|
| 731 | dt = 60 #One minute intervals |
|---|
| 732 | t = 0.0 |
|---|
| 733 | while t <= finaltime: |
|---|
| 734 | #Compute quantities |
|---|
| 735 | f1 = lambda x,y: 3*x - y**2 + 2*t + 4 |
|---|
| 736 | domain.set_quantity('stage', f1) |
|---|
| 737 | |
|---|
| 738 | f2 = lambda x,y: x+y+t**2 |
|---|
| 739 | domain.set_quantity('xmomentum', f2) |
|---|
| 740 | |
|---|
| 741 | f3 = lambda x,y: x**2 + y**2 * sin(t*pi/600) |
|---|
| 742 | domain.set_quantity('ymomentum', f3) |
|---|
| 743 | |
|---|
| 744 | #Store and advance time |
|---|
| 745 | domain.time = t |
|---|
| 746 | domain.store_timestep(domain.conserved_quantities) |
|---|
| 747 | t += dt |
|---|
| 748 | |
|---|
| 749 | interpolation_points = [[1,0]] |
|---|
| 750 | interpolation_points = [[100,1000]] |
|---|
| 751 | |
|---|
| 752 | interpolation_points = [[0,-20], [1,0], [0,1], [1.1, 3.14], [10,-12.5], |
|---|
| 753 | [78787,78787],[7878,3432]] |
|---|
| 754 | |
|---|
| 755 | #Deliberately set domain.starttime to too early |
|---|
| 756 | domain.starttime = start - 1 |
|---|
| 757 | |
|---|
| 758 | #Create file function |
|---|
| 759 | F = file_function(filename + '.sww', domain, |
|---|
| 760 | quantities = domain.conserved_quantities, |
|---|
| 761 | interpolation_points = interpolation_points) |
|---|
| 762 | |
|---|
| 763 | #Check that FF updates fixes domain starttime |
|---|
| 764 | assert allclose(domain.starttime, start) |
|---|
| 765 | |
|---|
| 766 | #Check that domain.starttime isn't updated if later |
|---|
| 767 | domain.starttime = start + 1 |
|---|
| 768 | F = file_function(filename + '.sww', domain, |
|---|
| 769 | quantities = domain.conserved_quantities, |
|---|
| 770 | interpolation_points = interpolation_points) |
|---|
| 771 | assert allclose(domain.starttime, start+1) |
|---|
| 772 | domain.starttime = start |
|---|
| 773 | |
|---|
| 774 | |
|---|
| 775 | #Check linear interpolation in time |
|---|
| 776 | # checking points inside and outside the mesh |
|---|
| 777 | F = file_function(filename + '.sww', domain, |
|---|
| 778 | quantities = domain.conserved_quantities, |
|---|
| 779 | interpolation_points = interpolation_points) |
|---|
| 780 | |
|---|
| 781 | for id in range(len(interpolation_points)): |
|---|
| 782 | x = interpolation_points[id][0] |
|---|
| 783 | y = interpolation_points[id][1] |
|---|
| 784 | |
|---|
| 785 | for i in range(20): |
|---|
| 786 | t = i*10 |
|---|
| 787 | k = i%6 |
|---|
| 788 | |
|---|
| 789 | if k == 0: |
|---|
| 790 | q0 = F(t, point_id=id) |
|---|
| 791 | q1 = F(t+60, point_id=id) |
|---|
| 792 | |
|---|
| 793 | if q0 == INF: |
|---|
| 794 | actual = q0 |
|---|
| 795 | else: |
|---|
| 796 | actual = (k*q1 + (6-k)*q0)/6 |
|---|
| 797 | q = F(t, point_id=id) |
|---|
| 798 | #print i, k, t, q |
|---|
| 799 | #print ' ', q0 |
|---|
| 800 | #print ' ', q1 |
|---|
| 801 | #print "q",q |
|---|
| 802 | #print "actual", actual |
|---|
| 803 | #print |
|---|
| 804 | if q0 == INF: |
|---|
| 805 | self.failUnless( q == actual, 'Fail!') |
|---|
| 806 | else: |
|---|
| 807 | assert allclose(q, actual) |
|---|
| 808 | |
|---|
| 809 | # now lets check points inside the mesh |
|---|
| 810 | interpolation_points = [[0,-20], [1,0], [0,1], [1.1, 3.14]] #, [10,-12.5]] - this point doesn't work WHY? |
|---|
| 811 | interpolation_points = [[10,-12.5]] |
|---|
| 812 | |
|---|
| 813 | print "len(interpolation_points)",len(interpolation_points) |
|---|
| 814 | F = file_function(filename + '.sww', domain, |
|---|
| 815 | quantities = domain.conserved_quantities, |
|---|
| 816 | interpolation_points = interpolation_points) |
|---|
| 817 | |
|---|
| 818 | domain.starttime = start |
|---|
| 819 | |
|---|
| 820 | |
|---|
| 821 | #Check linear interpolation in time |
|---|
| 822 | F = file_function(filename + '.sww', domain, |
|---|
| 823 | quantities = domain.conserved_quantities, |
|---|
| 824 | interpolation_points = interpolation_points) |
|---|
| 825 | for id in range(len(interpolation_points)): |
|---|
| 826 | x = interpolation_points[id][0] |
|---|
| 827 | y = interpolation_points[id][1] |
|---|
| 828 | |
|---|
| 829 | for i in range(20): |
|---|
| 830 | t = i*10 |
|---|
| 831 | k = i%6 |
|---|
| 832 | |
|---|
| 833 | if k == 0: |
|---|
| 834 | q0 = F(t, point_id=id) |
|---|
| 835 | q1 = F(t+60, point_id=id) |
|---|
| 836 | |
|---|
| 837 | if q0 == INF: |
|---|
| 838 | actual = q0 |
|---|
| 839 | else: |
|---|
| 840 | actual = (k*q1 + (6-k)*q0)/6 |
|---|
| 841 | q = F(t, point_id=id) |
|---|
| 842 | print "############" |
|---|
| 843 | print "id, x, y ", id, x, y #k, t, q |
|---|
| 844 | print "t", t |
|---|
| 845 | #print ' ', q0 |
|---|
| 846 | #print ' ', q1 |
|---|
| 847 | print "q",q |
|---|
| 848 | print "actual", actual |
|---|
| 849 | #print |
|---|
| 850 | if q0 == INF: |
|---|
| 851 | self.failUnless( q == actual, 'Fail!') |
|---|
| 852 | else: |
|---|
| 853 | assert allclose(q, actual) |
|---|
| 854 | |
|---|
| 855 | |
|---|
| 856 | #Another check of linear interpolation in time |
|---|
| 857 | for id in range(len(interpolation_points)): |
|---|
| 858 | q60 = F(60, point_id=id) |
|---|
| 859 | q120 = F(120, point_id=id) |
|---|
| 860 | |
|---|
| 861 | t = 90 #Halfway between 60 and 120 |
|---|
| 862 | q = F(t, point_id=id) |
|---|
| 863 | assert allclose( (q120+q60)/2, q ) |
|---|
| 864 | |
|---|
| 865 | t = 100 #Two thirds of the way between between 60 and 120 |
|---|
| 866 | q = F(t, point_id=id) |
|---|
| 867 | assert allclose(q60/3 + 2*q120/3, q) |
|---|
| 868 | |
|---|
| 869 | |
|---|
| 870 | |
|---|
| 871 | #Check that domain.starttime isn't updated if later than file starttime but earlier |
|---|
| 872 | #than file end time |
|---|
| 873 | delta = 23 |
|---|
| 874 | domain.starttime = start + delta |
|---|
| 875 | F = file_function(filename + '.sww', domain, |
|---|
| 876 | quantities = domain.conserved_quantities, |
|---|
| 877 | interpolation_points = interpolation_points) |
|---|
| 878 | assert allclose(domain.starttime, start+delta) |
|---|
| 879 | |
|---|
| 880 | |
|---|
| 881 | |
|---|
| 882 | |
|---|
| 883 | #Now try interpolation with delta offset |
|---|
| 884 | for id in range(len(interpolation_points)): |
|---|
| 885 | x = interpolation_points[id][0] |
|---|
| 886 | y = interpolation_points[id][1] |
|---|
| 887 | |
|---|
| 888 | for i in range(20): |
|---|
| 889 | t = i*10 |
|---|
| 890 | k = i%6 |
|---|
| 891 | |
|---|
| 892 | if k == 0: |
|---|
| 893 | q0 = F(t-delta, point_id=id) |
|---|
| 894 | q1 = F(t+60-delta, point_id=id) |
|---|
| 895 | |
|---|
| 896 | q = F(t-delta, point_id=id) |
|---|
| 897 | assert allclose(q, (k*q1 + (6-k)*q0)/6) |
|---|
| 898 | |
|---|
| 899 | |
|---|
| 900 | os.remove(filename + '.sww') |
|---|
| 901 | |
|---|
| 902 | def test_file_function_time_with_domain(self): |
|---|
| 903 | """Test that File function interpolates correctly |
|---|
| 904 | between given times. No x,y dependency here. |
|---|
| 905 | Use domain with starttime |
|---|
| 906 | """ |
|---|
| 907 | |
|---|
| 908 | #Write file |
|---|
| 909 | import os, time, calendar |
|---|
| 910 | from config import time_format |
|---|
| 911 | from math import sin, pi |
|---|
| 912 | from domain import Domain |
|---|
| 913 | |
|---|
| 914 | finaltime = 1200 |
|---|
| 915 | filename = 'test_file_function' |
|---|
| 916 | fid = open(filename + '.txt', 'w') |
|---|
| 917 | start = time.mktime(time.strptime('2000', '%Y')) |
|---|
| 918 | dt = 60 #One minute intervals |
|---|
| 919 | t = 0.0 |
|---|
| 920 | while t <= finaltime: |
|---|
| 921 | t_string = time.strftime(time_format, time.gmtime(t+start)) |
|---|
| 922 | fid.write('%s, %f %f %f\n' %(t_string, 2*t, t**2, sin(t*pi/600))) |
|---|
| 923 | t += dt |
|---|
| 924 | |
|---|
| 925 | fid.close() |
|---|
| 926 | |
|---|
| 927 | |
|---|
| 928 | #Convert ASCII file to NetCDF (Which is what we really like!) |
|---|
| 929 | timefile2netcdf(filename) |
|---|
| 930 | |
|---|
| 931 | |
|---|
| 932 | |
|---|
| 933 | a = [0.0, 0.0] |
|---|
| 934 | b = [4.0, 0.0] |
|---|
| 935 | c = [0.0, 3.0] |
|---|
| 936 | |
|---|
| 937 | points = [a, b, c] |
|---|
| 938 | vertices = [[0,1,2]] |
|---|
| 939 | domain = Domain(points, vertices) |
|---|
| 940 | |
|---|
| 941 | #Check that domain.starttime is updated if non-existing |
|---|
| 942 | F = file_function(filename + '.tms', domain) |
|---|
| 943 | |
|---|
| 944 | assert allclose(domain.starttime, start) |
|---|
| 945 | |
|---|
| 946 | #Check that domain.starttime is updated if too early |
|---|
| 947 | domain.starttime = start - 1 |
|---|
| 948 | F = file_function(filename + '.tms', domain) |
|---|
| 949 | assert allclose(domain.starttime, start) |
|---|
| 950 | |
|---|
| 951 | #Check that domain.starttime isn't updated if later |
|---|
| 952 | domain.starttime = start + 1 |
|---|
| 953 | F = file_function(filename + '.tms', domain) |
|---|
| 954 | assert allclose(domain.starttime, start+1) |
|---|
| 955 | |
|---|
| 956 | domain.starttime = start |
|---|
| 957 | F = file_function(filename + '.tms', domain, |
|---|
| 958 | quantities = ['Attribute0', 'Attribute1', 'Attribute2']) |
|---|
| 959 | |
|---|
| 960 | |
|---|
| 961 | #print F.T |
|---|
| 962 | #print F.precomputed_values |
|---|
| 963 | #print 'F(60)', F(60) |
|---|
| 964 | |
|---|
| 965 | #Now try interpolation |
|---|
| 966 | for i in range(20): |
|---|
| 967 | t = i*10 |
|---|
| 968 | q = F(t) |
|---|
| 969 | |
|---|
| 970 | #Exact linear intpolation |
|---|
| 971 | assert allclose(q[0], 2*t) |
|---|
| 972 | if i%6 == 0: |
|---|
| 973 | assert allclose(q[1], t**2) |
|---|
| 974 | assert allclose(q[2], sin(t*pi/600)) |
|---|
| 975 | |
|---|
| 976 | #Check non-exact |
|---|
| 977 | |
|---|
| 978 | t = 90 #Halfway between 60 and 120 |
|---|
| 979 | q = F(t) |
|---|
| 980 | assert allclose( (120**2 + 60**2)/2, q[1] ) |
|---|
| 981 | assert allclose( (sin(120*pi/600) + sin(60*pi/600))/2, q[2] ) |
|---|
| 982 | |
|---|
| 983 | |
|---|
| 984 | t = 100 #Two thirds of the way between between 60 and 120 |
|---|
| 985 | q = F(t) |
|---|
| 986 | assert allclose( 2*120**2/3 + 60**2/3, q[1] ) |
|---|
| 987 | assert allclose( 2*sin(120*pi/600)/3 + sin(60*pi/600)/3, q[2] ) |
|---|
| 988 | |
|---|
| 989 | os.remove(filename + '.tms') |
|---|
| 990 | os.remove(filename + '.txt') |
|---|
| 991 | |
|---|
| 992 | def test_file_function_time_with_domain_different_start(self): |
|---|
| 993 | """Test that File function interpolates correctly |
|---|
| 994 | between given times. No x,y dependency here. |
|---|
| 995 | Use domain with a starttime later than that of file |
|---|
| 996 | |
|---|
| 997 | ASCII version |
|---|
| 998 | """ |
|---|
| 999 | |
|---|
| 1000 | #Write file |
|---|
| 1001 | import os, time, calendar |
|---|
| 1002 | from config import time_format |
|---|
| 1003 | from math import sin, pi |
|---|
| 1004 | from domain import Domain |
|---|
| 1005 | |
|---|
| 1006 | finaltime = 1200 |
|---|
| 1007 | filename = 'test_file_function' |
|---|
| 1008 | fid = open(filename + '.txt', 'w') |
|---|
| 1009 | start = time.mktime(time.strptime('2000', '%Y')) |
|---|
| 1010 | dt = 60 #One minute intervals |
|---|
| 1011 | t = 0.0 |
|---|
| 1012 | while t <= finaltime: |
|---|
| 1013 | t_string = time.strftime(time_format, time.gmtime(t+start)) |
|---|
| 1014 | fid.write('%s, %f %f %f\n' %(t_string, 2*t, t**2, sin(t*pi/600))) |
|---|
| 1015 | t += dt |
|---|
| 1016 | |
|---|
| 1017 | fid.close() |
|---|
| 1018 | |
|---|
| 1019 | #Convert ASCII file to NetCDF (Which is what we really like!) |
|---|
| 1020 | timefile2netcdf(filename) |
|---|
| 1021 | |
|---|
| 1022 | a = [0.0, 0.0] |
|---|
| 1023 | b = [4.0, 0.0] |
|---|
| 1024 | c = [0.0, 3.0] |
|---|
| 1025 | |
|---|
| 1026 | points = [a, b, c] |
|---|
| 1027 | vertices = [[0,1,2]] |
|---|
| 1028 | domain = Domain(points, vertices) |
|---|
| 1029 | |
|---|
| 1030 | #Check that domain.starttime isn't updated if later than file starttime but earlier |
|---|
| 1031 | #than file end time |
|---|
| 1032 | delta = 23 |
|---|
| 1033 | domain.starttime = start + delta |
|---|
| 1034 | F = file_function(filename + '.tms', domain, |
|---|
| 1035 | quantities = ['Attribute0', 'Attribute1', 'Attribute2']) |
|---|
| 1036 | assert allclose(domain.starttime, start+delta) |
|---|
| 1037 | |
|---|
| 1038 | |
|---|
| 1039 | |
|---|
| 1040 | |
|---|
| 1041 | #Now try interpolation with delta offset |
|---|
| 1042 | for i in range(20): |
|---|
| 1043 | t = i*10 |
|---|
| 1044 | q = F(t-delta) |
|---|
| 1045 | |
|---|
| 1046 | #Exact linear intpolation |
|---|
| 1047 | assert allclose(q[0], 2*t) |
|---|
| 1048 | if i%6 == 0: |
|---|
| 1049 | assert allclose(q[1], t**2) |
|---|
| 1050 | assert allclose(q[2], sin(t*pi/600)) |
|---|
| 1051 | |
|---|
| 1052 | #Check non-exact |
|---|
| 1053 | |
|---|
| 1054 | t = 90 #Halfway between 60 and 120 |
|---|
| 1055 | q = F(t-delta) |
|---|
| 1056 | assert allclose( (120**2 + 60**2)/2, q[1] ) |
|---|
| 1057 | assert allclose( (sin(120*pi/600) + sin(60*pi/600))/2, q[2] ) |
|---|
| 1058 | |
|---|
| 1059 | |
|---|
| 1060 | t = 100 #Two thirds of the way between between 60 and 120 |
|---|
| 1061 | q = F(t-delta) |
|---|
| 1062 | assert allclose( 2*120**2/3 + 60**2/3, q[1] ) |
|---|
| 1063 | assert allclose( 2*sin(120*pi/600)/3 + sin(60*pi/600)/3, q[2] ) |
|---|
| 1064 | |
|---|
| 1065 | |
|---|
| 1066 | os.remove(filename + '.tms') |
|---|
| 1067 | os.remove(filename + '.txt') |
|---|
| 1068 | |
|---|
| 1069 | |
|---|
| 1070 | |
|---|
| 1071 | def test_apply_expression_to_dictionary(self): |
|---|
| 1072 | |
|---|
| 1073 | #FIXME: Division is not expected to work for integers. |
|---|
| 1074 | #This must be caught. |
|---|
| 1075 | foo = array([[1,2,3], |
|---|
| 1076 | [4,5,6]], Float) |
|---|
| 1077 | |
|---|
| 1078 | bar = array([[-1,0,5], |
|---|
| 1079 | [6,1,1]], Float) |
|---|
| 1080 | |
|---|
| 1081 | D = {'X': foo, 'Y': bar} |
|---|
| 1082 | |
|---|
| 1083 | Z = apply_expression_to_dictionary('X+Y', D) |
|---|
| 1084 | assert allclose(Z, foo+bar) |
|---|
| 1085 | |
|---|
| 1086 | Z = apply_expression_to_dictionary('X*Y', D) |
|---|
| 1087 | assert allclose(Z, foo*bar) |
|---|
| 1088 | |
|---|
| 1089 | Z = apply_expression_to_dictionary('4*X+Y', D) |
|---|
| 1090 | assert allclose(Z, 4*foo+bar) |
|---|
| 1091 | |
|---|
| 1092 | # test zero division is OK |
|---|
| 1093 | Z = apply_expression_to_dictionary('X/Y', D) |
|---|
| 1094 | assert allclose(1/Z, 1/(foo/bar)) # can't compare inf to inf |
|---|
| 1095 | |
|---|
| 1096 | # make an error for zero on zero |
|---|
| 1097 | # this is really an error in Numeric, SciPy core can handle it |
|---|
| 1098 | # Z = apply_expression_to_dictionary('0/Y', D) |
|---|
| 1099 | |
|---|
| 1100 | #Check exceptions |
|---|
| 1101 | try: |
|---|
| 1102 | #Wrong name |
|---|
| 1103 | Z = apply_expression_to_dictionary('4*X+A', D) |
|---|
| 1104 | except NameError: |
|---|
| 1105 | pass |
|---|
| 1106 | else: |
|---|
| 1107 | msg = 'Should have raised a NameError Exception' |
|---|
| 1108 | raise msg |
|---|
| 1109 | |
|---|
| 1110 | |
|---|
| 1111 | try: |
|---|
| 1112 | #Wrong order |
|---|
| 1113 | Z = apply_expression_to_dictionary(D, '4*X+A') |
|---|
| 1114 | except AssertionError: |
|---|
| 1115 | pass |
|---|
| 1116 | else: |
|---|
| 1117 | msg = 'Should have raised a AssertionError Exception' |
|---|
| 1118 | raise msg |
|---|
| 1119 | |
|---|
| 1120 | |
|---|
| 1121 | def test_multiple_replace(self): |
|---|
| 1122 | """Hard test that checks a true word-by-word simultaneous replace |
|---|
| 1123 | """ |
|---|
| 1124 | |
|---|
| 1125 | D = {'x': 'xi', 'y': 'eta', 'xi':'lam'} |
|---|
| 1126 | exp = '3*x+y + xi' |
|---|
| 1127 | |
|---|
| 1128 | new = multiple_replace(exp, D) |
|---|
| 1129 | |
|---|
| 1130 | assert new == '3*xi+eta + lam' |
|---|
| 1131 | |
|---|
| 1132 | |
|---|
| 1133 | |
|---|
| 1134 | def test_point_on_line_obsolete(self): |
|---|
| 1135 | """Test that obsolete call issues appropriate warning""" |
|---|
| 1136 | |
|---|
| 1137 | #Turn warning into an exception |
|---|
| 1138 | import warnings |
|---|
| 1139 | warnings.filterwarnings('error') |
|---|
| 1140 | |
|---|
| 1141 | try: |
|---|
| 1142 | assert point_on_line( 0, 0.5, 0,1, 0,0 ) |
|---|
| 1143 | except DeprecationWarning: |
|---|
| 1144 | pass |
|---|
| 1145 | else: |
|---|
| 1146 | msg = 'point_on_line should have issued a DeprecationWarning' |
|---|
| 1147 | raise Exception(msg) |
|---|
| 1148 | |
|---|
| 1149 | warnings.resetwarnings() |
|---|
| 1150 | |
|---|
| 1151 | |
|---|
| 1152 | #------------------------------------------------------------- |
|---|
| 1153 | if __name__ == "__main__": |
|---|
| 1154 | suite = unittest.makeSuite(Test_Util,'test') |
|---|
| 1155 | #suite = unittest.makeSuite(Test_Util,'test_apply') |
|---|
| 1156 | runner = unittest.TextTestRunner() |
|---|
| 1157 | runner.run(suite) |
|---|
| 1158 | |
|---|
| 1159 | |
|---|
| 1160 | |
|---|
| 1161 | |
|---|
