[2187] | 1 | #!/usr/bin/env python |
---|
| 2 | |
---|
| 3 | #TEST |
---|
| 4 | import sys |
---|
| 5 | import unittest |
---|
| 6 | from math import sqrt |
---|
| 7 | |
---|
| 8 | |
---|
| 9 | from interpolate import * |
---|
| 10 | from Numeric import allclose, array, transpose |
---|
| 11 | |
---|
| 12 | from coordinate_transforms.geo_reference import Geo_reference |
---|
| 13 | |
---|
| 14 | def distance(x, y): |
---|
| 15 | return sqrt( sum( (array(x)-array(y))**2 )) |
---|
| 16 | |
---|
| 17 | def linear_function(point): |
---|
| 18 | point = array(point) |
---|
| 19 | return point[:,0]+point[:,1] |
---|
| 20 | |
---|
| 21 | |
---|
| 22 | class Test_Interpolate(unittest.TestCase): |
---|
| 23 | |
---|
| 24 | def setUp(self): |
---|
| 25 | pass |
---|
| 26 | |
---|
| 27 | def tearDown(self): |
---|
| 28 | pass |
---|
| 29 | |
---|
| 30 | def test_datapoint_at_centroid(self): |
---|
| 31 | a = [0.0, 0.0] |
---|
| 32 | b = [0.0, 2.0] |
---|
| 33 | c = [2.0,0.0] |
---|
| 34 | points = [a, b, c] |
---|
| 35 | vertices = [ [1,0,2] ] #bac |
---|
| 36 | |
---|
| 37 | data = [ [2.0/3, 2.0/3] ] #Use centroid as one data point |
---|
| 38 | |
---|
| 39 | interp = Interpolate(points, vertices) |
---|
| 40 | assert allclose(interp._build_interpolation_matrix_A(data).todense(), |
---|
| 41 | [[1./3, 1./3, 1./3]]) |
---|
| 42 | |
---|
| 43 | |
---|
| 44 | def test_quad_tree(self): |
---|
| 45 | p0 = [-10.0, -10.0] |
---|
| 46 | p1 = [20.0, -10.0] |
---|
| 47 | p2 = [-10.0, 20.0] |
---|
| 48 | p3 = [10.0, 50.0] |
---|
| 49 | p4 = [30.0, 30.0] |
---|
| 50 | p5 = [50.0, 10.0] |
---|
| 51 | p6 = [40.0, 60.0] |
---|
| 52 | p7 = [60.0, 40.0] |
---|
| 53 | p8 = [-66.0, 20.0] |
---|
| 54 | p9 = [10.0, -66.0] |
---|
| 55 | |
---|
| 56 | points = [p0, p1, p2, p3, p4, p5, p6, p7, p8, p9] |
---|
| 57 | triangles = [ [0, 1, 2], |
---|
| 58 | [3, 2, 4], |
---|
| 59 | [4, 2, 1], |
---|
| 60 | [4, 1, 5], |
---|
| 61 | [3, 4, 6], |
---|
| 62 | [6, 4, 7], |
---|
| 63 | [7, 4, 5], |
---|
| 64 | [8, 0, 2], |
---|
| 65 | [0, 9, 1]] |
---|
| 66 | |
---|
| 67 | data = [ [4,4] ] |
---|
| 68 | interp = Interpolate(points, triangles, |
---|
[2201] | 69 | max_vertices_per_cell = 4) |
---|
[2187] | 70 | #print "PDSG - interp.get_A()", interp.get_A() |
---|
| 71 | answer = [ [ 0.06666667, 0.46666667, 0.46666667, 0., |
---|
| 72 | 0., 0. , 0., 0., 0., 0.]] |
---|
| 73 | |
---|
| 74 | |
---|
| 75 | assert allclose(interp._build_interpolation_matrix_A(data).todense(), |
---|
| 76 | answer) |
---|
| 77 | #interp.set_point_coordinates([[-30, -30]]) #point outside of mesh |
---|
| 78 | #print "PDSG - interp.get_A()", interp.get_A() |
---|
| 79 | data = [[-30, -30]] |
---|
| 80 | answer = [ [ 0.0, 0.0, 0.0, 0., |
---|
| 81 | 0., 0. , 0., 0., 0., 0.]] |
---|
| 82 | |
---|
| 83 | assert allclose(interp._build_interpolation_matrix_A(data).todense(), |
---|
| 84 | answer) |
---|
| 85 | |
---|
| 86 | |
---|
| 87 | #point outside of quad tree root cell |
---|
| 88 | #interp.set_point_coordinates([[-70, -70]]) |
---|
| 89 | #print "PDSG - interp.get_A()", interp.get_A() |
---|
| 90 | data = [[-70, -70]] |
---|
| 91 | answer = [ [ 0.0, 0.0, 0.0, 0., |
---|
| 92 | 0., 0. , 0., 0., 0., 0.]] |
---|
| 93 | assert allclose(interp._build_interpolation_matrix_A(data).todense(), |
---|
| 94 | answer) |
---|
| 95 | |
---|
| 96 | def test_datapoints_at_vertices(self): |
---|
| 97 | """Test that data points coinciding with vertices yield a diagonal matrix |
---|
| 98 | """ |
---|
| 99 | |
---|
| 100 | a = [0.0, 0.0] |
---|
| 101 | b = [0.0, 2.0] |
---|
| 102 | c = [2.0,0.0] |
---|
| 103 | points = [a, b, c] |
---|
| 104 | vertices = [ [1,0,2] ] #bac |
---|
| 105 | |
---|
| 106 | data = points #Use data at vertices |
---|
| 107 | |
---|
| 108 | interp = Interpolate(points, vertices) |
---|
| 109 | answer = [[1., 0., 0.], |
---|
| 110 | [0., 1., 0.], |
---|
| 111 | [0., 0., 1.]] |
---|
| 112 | assert allclose(interp._build_interpolation_matrix_A(data).todense(), |
---|
| 113 | answer) |
---|
| 114 | |
---|
| 115 | |
---|
| 116 | def test_datapoints_on_edge_midpoints(self): |
---|
| 117 | """Try datapoints midway on edges - |
---|
| 118 | each point should affect two matrix entries equally |
---|
| 119 | """ |
---|
| 120 | |
---|
| 121 | a = [0.0, 0.0] |
---|
| 122 | b = [0.0, 2.0] |
---|
| 123 | c = [2.0,0.0] |
---|
| 124 | points = [a, b, c] |
---|
| 125 | vertices = [ [1,0,2] ] #bac |
---|
| 126 | |
---|
| 127 | data = [ [0., 1.], [1., 0.], [1., 1.] ] |
---|
| 128 | answer = [[0.5, 0.5, 0.0], #Affects vertex 1 and 0 |
---|
| 129 | [0.5, 0.0, 0.5], #Affects vertex 0 and 2 |
---|
| 130 | [0.0, 0.5, 0.5]] |
---|
| 131 | interp = Interpolate(points, vertices, data) |
---|
| 132 | |
---|
| 133 | assert allclose(interp._build_interpolation_matrix_A(data).todense(), |
---|
| 134 | answer) |
---|
| 135 | |
---|
| 136 | def test_datapoints_on_edges(self): |
---|
| 137 | """Try datapoints on edges - |
---|
| 138 | each point should affect two matrix entries in proportion |
---|
| 139 | """ |
---|
| 140 | |
---|
| 141 | a = [0.0, 0.0] |
---|
| 142 | b = [0.0, 2.0] |
---|
| 143 | c = [2.0,0.0] |
---|
| 144 | points = [a, b, c] |
---|
| 145 | vertices = [ [1,0,2] ] #bac |
---|
| 146 | |
---|
| 147 | data = [ [0., 1.5], [1.5, 0.], [1.5, 0.5] ] |
---|
| 148 | answer = [[0.25, 0.75, 0.0], #Affects vertex 1 and 0 |
---|
| 149 | [0.25, 0.0, 0.75], #Affects vertex 0 and 2 |
---|
| 150 | [0.0, 0.25, 0.75]] |
---|
| 151 | |
---|
| 152 | interp = Interpolate(points, vertices, data) |
---|
| 153 | |
---|
| 154 | assert allclose(interp._build_interpolation_matrix_A(data).todense(), |
---|
| 155 | answer) |
---|
| 156 | |
---|
| 157 | |
---|
| 158 | def test_arbitrary_datapoints(self): |
---|
| 159 | """Try arbitrary datapoints |
---|
| 160 | """ |
---|
| 161 | |
---|
| 162 | from Numeric import sum |
---|
| 163 | |
---|
| 164 | a = [0.0, 0.0] |
---|
| 165 | b = [0.0, 2.0] |
---|
| 166 | c = [2.0,0.0] |
---|
| 167 | points = [a, b, c] |
---|
| 168 | vertices = [ [1,0,2] ] #bac |
---|
| 169 | |
---|
| 170 | data = [ [0.2, 1.5], [0.123, 1.768], [1.43, 0.44] ] |
---|
| 171 | |
---|
| 172 | interp = Interpolate(points, vertices, data) |
---|
| 173 | #print "interp.get_A()", interp.get_A() |
---|
| 174 | results = interp._build_interpolation_matrix_A(data).todense() |
---|
| 175 | assert allclose(sum(results, axis=1), 1.0) |
---|
| 176 | |
---|
| 177 | #FIXME - have to change this test to check default info |
---|
| 178 | def NO_test_arbitrary_datapoints_some_outside(self): |
---|
| 179 | """Try arbitrary datapoints one outside the triangle. |
---|
| 180 | That one should be ignored |
---|
| 181 | """ |
---|
| 182 | |
---|
| 183 | from Numeric import sum |
---|
| 184 | |
---|
| 185 | a = [0.0, 0.0] |
---|
| 186 | b = [0.0, 2.0] |
---|
| 187 | c = [2.0,0.0] |
---|
| 188 | points = [a, b, c] |
---|
| 189 | vertices = [ [1,0,2] ] #bac |
---|
| 190 | |
---|
| 191 | data = [ [0.2, 1.5], [0.123, 1.768], [1.43, 0.44], [5.0, 7.0]] |
---|
| 192 | |
---|
| 193 | |
---|
| 194 | interp = Interpolate(points, vertices, data, precrop = True) |
---|
| 195 | |
---|
| 196 | results = interp._build_interpolation_matrix_A(data).todense() |
---|
| 197 | assert allclose(sum(results, axis=1), 1.0) |
---|
| 198 | |
---|
| 199 | interp = Interpolate(points, vertices, data, precrop = False) |
---|
| 200 | results = interp._build_interpolation_matrix_A(data).todense() |
---|
| 201 | assert allclose(sum(results, axis=1), [1,1,1,0]) |
---|
| 202 | |
---|
| 203 | |
---|
| 204 | |
---|
| 205 | # this causes a memory error in scipy.sparse |
---|
| 206 | def test_more_triangles(self): |
---|
| 207 | |
---|
| 208 | a = [-1.0, 0.0] |
---|
| 209 | b = [3.0, 4.0] |
---|
| 210 | c = [4.0,1.0] |
---|
| 211 | d = [-3.0, 2.0] #3 |
---|
| 212 | e = [-1.0,-2.0] |
---|
| 213 | f = [1.0, -2.0] #5 |
---|
| 214 | |
---|
| 215 | points = [a, b, c, d,e,f] |
---|
| 216 | triangles = [[0,1,3],[1,0,2],[0,4,5], [0,5,2]] #abd bac aef afc |
---|
| 217 | |
---|
| 218 | #Data points |
---|
| 219 | data = [ [-3., 2.0], [-2, 1], [0.0, 1], [0, 3], [2, 3], [-1.0/3,-4./3] ] |
---|
| 220 | interp = Interpolate(points, triangles) |
---|
| 221 | |
---|
| 222 | answer = [[0.0, 0.0, 0.0, 1.0, 0.0, 0.0], #Affects point d |
---|
| 223 | [0.5, 0.0, 0.0, 0.5, 0.0, 0.0], #Affects points a and d |
---|
| 224 | [0.75, 0.25, 0.0, 0.0, 0.0, 0.0], #Affects points a and b |
---|
| 225 | [0.0, 0.5, 0.0, 0.5, 0.0, 0.0], #Affects points a and d |
---|
| 226 | [0.25, 0.75, 0.0, 0.0, 0.0, 0.0], #Affects points a and b |
---|
| 227 | [1./3, 0.0, 0.0, 0.0, 1./3, 1./3]] #Affects points a, e and f |
---|
| 228 | |
---|
| 229 | |
---|
| 230 | A = interp._build_interpolation_matrix_A(data).todense() |
---|
| 231 | for i in range(A.shape[0]): |
---|
| 232 | for j in range(A.shape[1]): |
---|
| 233 | if not allclose(A[i,j], answer[i][j]): |
---|
| 234 | print i,j,':',A[i,j], answer[i][j] |
---|
| 235 | |
---|
| 236 | |
---|
[2190] | 237 | #results = interp._build_interpolation_matrix_A(data).todense() |
---|
[2187] | 238 | |
---|
[2190] | 239 | assert allclose(A, answer) |
---|
[2187] | 240 | |
---|
[2190] | 241 | |
---|
[2189] | 242 | def test_interpolate_attributes_to_points(self): |
---|
| 243 | v0 = [0.0, 0.0] |
---|
| 244 | v1 = [0.0, 5.0] |
---|
| 245 | v2 = [5.0, 0.0] |
---|
[2187] | 246 | |
---|
[2189] | 247 | vertices = [v0, v1, v2] |
---|
| 248 | triangles = [ [1,0,2] ] #bac |
---|
[2187] | 249 | |
---|
[2189] | 250 | d0 = [1.0, 1.0] |
---|
| 251 | d1 = [1.0, 2.0] |
---|
| 252 | d2 = [3.0, 1.0] |
---|
| 253 | point_coords = [ d0, d1, d2] |
---|
| 254 | |
---|
| 255 | interp = Interpolate(vertices, triangles, point_coords) |
---|
| 256 | f = linear_function(vertices) |
---|
| 257 | z = interp.interpolate(f, point_coords) |
---|
| 258 | answer = linear_function(point_coords) |
---|
| 259 | |
---|
| 260 | |
---|
| 261 | assert allclose(z, answer) |
---|
| 262 | |
---|
| 263 | |
---|
| 264 | |
---|
| 265 | def test_interpolate_attributes_to_pointsII(self): |
---|
| 266 | a = [-1.0, 0.0] |
---|
| 267 | b = [3.0, 4.0] |
---|
| 268 | c = [4.0, 1.0] |
---|
| 269 | d = [-3.0, 2.0] #3 |
---|
| 270 | e = [-1.0, -2.0] |
---|
| 271 | f = [1.0, -2.0] #5 |
---|
| 272 | |
---|
| 273 | vertices = [a, b, c, d,e,f] |
---|
| 274 | triangles = [[0,1,3], [1,0,2], [0,4,5], [0,5,2]] #abd bac aef afc |
---|
| 275 | |
---|
| 276 | |
---|
| 277 | point_coords = [[-2.0, 2.0], |
---|
| 278 | [-1.0, 1.0], |
---|
| 279 | [0.0, 2.0], |
---|
| 280 | [1.0, 1.0], |
---|
| 281 | [2.0, 1.0], |
---|
| 282 | [0.0, 0.0], |
---|
| 283 | [1.0, 0.0], |
---|
| 284 | [0.0, -1.0], |
---|
| 285 | [-0.2, -0.5], |
---|
| 286 | [-0.9, -1.5], |
---|
| 287 | [0.5, -1.9], |
---|
| 288 | [3.0, 1.0]] |
---|
| 289 | |
---|
| 290 | interp = Interpolate(vertices, triangles) |
---|
| 291 | f = linear_function(vertices) |
---|
| 292 | z = interp.interpolate(f, point_coords) |
---|
| 293 | answer = linear_function(point_coords) |
---|
| 294 | #print "z",z |
---|
| 295 | #print "answer",answer |
---|
| 296 | assert allclose(z, answer) |
---|
| 297 | |
---|
| 298 | def test_interpolate_attributes_to_pointsIII(self): |
---|
| 299 | """Test linear interpolation of known values at vertices to |
---|
| 300 | new points inside a triangle |
---|
| 301 | """ |
---|
| 302 | a = [0.0, 0.0] |
---|
| 303 | b = [0.0, 5.0] |
---|
| 304 | c = [5.0, 0.0] |
---|
| 305 | d = [5.0, 5.0] |
---|
| 306 | |
---|
| 307 | vertices = [a, b, c, d] |
---|
| 308 | triangles = [ [1,0,2], [2,3,1] ] #bac, cdb |
---|
| 309 | |
---|
| 310 | #Points within triangle 1 |
---|
| 311 | d0 = [1.0, 1.0] |
---|
| 312 | d1 = [1.0, 2.0] |
---|
| 313 | d2 = [3.0, 1.0] |
---|
| 314 | |
---|
| 315 | #Point within triangle 2 |
---|
| 316 | d3 = [4.0, 3.0] |
---|
| 317 | |
---|
| 318 | #Points on common edge |
---|
| 319 | d4 = [2.5, 2.5] |
---|
| 320 | d5 = [4.0, 1.0] |
---|
| 321 | |
---|
| 322 | #Point on common vertex |
---|
| 323 | d6 = [0., 5.] |
---|
| 324 | |
---|
| 325 | point_coords = [d0, d1, d2, d3, d4, d5, d6] |
---|
| 326 | |
---|
| 327 | interp = Interpolate(vertices, triangles) |
---|
| 328 | |
---|
| 329 | #Known values at vertices |
---|
| 330 | #Functions are x+y, x+2y, 2x+y, x-y-5 |
---|
| 331 | f = [ [0., 0., 0., -5.], # (0,0) |
---|
| 332 | [5., 10., 5., -10.], # (0,5) |
---|
| 333 | [5., 5., 10.0, 0.], # (5,0) |
---|
| 334 | [10., 15., 15., -5.]] # (5,5) |
---|
| 335 | |
---|
| 336 | z = interp.interpolate(f, point_coords) |
---|
| 337 | answer = [ [2., 3., 3., -5.], # (1,1) |
---|
| 338 | [3., 5., 4., -6.], # (1,2) |
---|
| 339 | [4., 5., 7., -3.], # (3,1) |
---|
| 340 | [7., 10., 11., -4.], # (4,3) |
---|
| 341 | [5., 7.5, 7.5, -5.], # (2.5, 2.5) |
---|
| 342 | [5., 6., 9., -2.], # (4,1) |
---|
| 343 | [5., 10., 5., -10.]] # (0,5) |
---|
| 344 | |
---|
| 345 | #print "***********" |
---|
| 346 | #print "z",z |
---|
| 347 | #print "answer",answer |
---|
| 348 | #print "***********" |
---|
| 349 | |
---|
| 350 | #Should an error message be returned if points are outside |
---|
| 351 | # of the mesh? Not currently. |
---|
| 352 | |
---|
| 353 | assert allclose(z, answer) |
---|
| 354 | |
---|
| 355 | |
---|
| 356 | def test_interpolate_point_outside_of_mesh(self): |
---|
| 357 | """Test linear interpolation of known values at vertices to |
---|
| 358 | new points inside a triangle |
---|
| 359 | """ |
---|
| 360 | a = [0.0, 0.0] |
---|
| 361 | b = [0.0, 5.0] |
---|
| 362 | c = [5.0, 0.0] |
---|
| 363 | d = [5.0, 5.0] |
---|
| 364 | |
---|
| 365 | vertices = [a, b, c, d] |
---|
| 366 | triangles = [ [1,0,2], [2,3,1] ] #bac, cdb |
---|
| 367 | |
---|
| 368 | #Far away point |
---|
| 369 | d7 = [-1., -1.] |
---|
| 370 | |
---|
| 371 | point_coords = [ d7] |
---|
| 372 | interp = Interpolate(vertices, triangles) |
---|
| 373 | |
---|
| 374 | #Known values at vertices |
---|
| 375 | #Functions are x+y, x+2y, 2x+y, x-y-5 |
---|
| 376 | f = [ [0., 0., 0., -5.], # (0,0) |
---|
| 377 | [5., 10., 5., -10.], # (0,5) |
---|
| 378 | [5., 5., 10.0, 0.], # (5,0) |
---|
| 379 | [10., 15., 15., -5.]] # (5,5) |
---|
| 380 | |
---|
| 381 | z = interp.interpolate(f, point_coords) |
---|
| 382 | answer = [ [0., 0., 0., 0.]] # (-1,-1) |
---|
| 383 | |
---|
| 384 | #print "***********" |
---|
| 385 | #print "z",z |
---|
| 386 | #print "answer",answer |
---|
| 387 | #print "***********" |
---|
| 388 | |
---|
| 389 | #Should an error message be returned if points are outside |
---|
| 390 | # of the mesh? Not currently. |
---|
| 391 | |
---|
| 392 | assert allclose(z, answer) |
---|
| 393 | |
---|
| 394 | def test_interpolate_attributes_to_pointsIV(self): |
---|
| 395 | a = [-1.0, 0.0] |
---|
| 396 | b = [3.0, 4.0] |
---|
| 397 | c = [4.0, 1.0] |
---|
| 398 | d = [-3.0, 2.0] #3 |
---|
| 399 | e = [-1.0, -2.0] |
---|
| 400 | f = [1.0, -2.0] #5 |
---|
| 401 | |
---|
| 402 | vertices = [a, b, c, d,e,f] |
---|
| 403 | triangles = [[0,1,3], [1,0,2], [0,4,5], [0,5,2]] #abd bac aef afc |
---|
| 404 | |
---|
| 405 | |
---|
| 406 | point_coords = [[-2.0, 2.0], |
---|
| 407 | [-1.0, 1.0], |
---|
| 408 | [0.0, 2.0], |
---|
| 409 | [1.0, 1.0], |
---|
| 410 | [2.0, 1.0], |
---|
| 411 | [0.0, 0.0], |
---|
| 412 | [1.0, 0.0], |
---|
| 413 | [0.0, -1.0], |
---|
| 414 | [-0.2, -0.5], |
---|
| 415 | [-0.9, -1.5], |
---|
| 416 | [0.5, -1.9], |
---|
| 417 | [3.0, 1.0]] |
---|
| 418 | |
---|
| 419 | interp = Interpolate(vertices, triangles) |
---|
| 420 | f = array([linear_function(vertices),2*linear_function(vertices) ]) |
---|
| 421 | f = transpose(f) |
---|
| 422 | #print "f",f |
---|
| 423 | z = interp.interpolate(f, point_coords) |
---|
| 424 | answer = [linear_function(point_coords), |
---|
| 425 | 2*linear_function(point_coords) ] |
---|
| 426 | answer = transpose(answer) |
---|
| 427 | #print "z",z |
---|
| 428 | #print "answer",answer |
---|
| 429 | assert allclose(z, answer) |
---|
| 430 | |
---|
| 431 | |
---|
| 432 | def test_interpolate_blocking(self): |
---|
| 433 | a = [-1.0, 0.0] |
---|
| 434 | b = [3.0, 4.0] |
---|
| 435 | c = [4.0, 1.0] |
---|
| 436 | d = [-3.0, 2.0] #3 |
---|
| 437 | e = [-1.0, -2.0] |
---|
| 438 | f = [1.0, -2.0] #5 |
---|
| 439 | |
---|
| 440 | vertices = [a, b, c, d,e,f] |
---|
| 441 | triangles = [[0,1,3], [1,0,2], [0,4,5], [0,5,2]] #abd bac aef afc |
---|
| 442 | |
---|
| 443 | |
---|
| 444 | point_coords = [[-2.0, 2.0], |
---|
| 445 | [-1.0, 1.0], |
---|
| 446 | [0.0, 2.0], |
---|
| 447 | [1.0, 1.0], |
---|
| 448 | [2.0, 1.0], |
---|
| 449 | [0.0, 0.0], |
---|
| 450 | [1.0, 0.0], |
---|
| 451 | [0.0, -1.0], |
---|
| 452 | [-0.2, -0.5], |
---|
| 453 | [-0.9, -1.5], |
---|
| 454 | [0.5, -1.9], |
---|
| 455 | [3.0, 1.0]] |
---|
| 456 | |
---|
| 457 | interp = Interpolate(vertices, triangles) |
---|
| 458 | f = array([linear_function(vertices),2*linear_function(vertices) ]) |
---|
| 459 | f = transpose(f) |
---|
| 460 | #print "f",f |
---|
| 461 | for blocking_max in range(len(point_coords)+2): |
---|
| 462 | #if True: |
---|
| 463 | # blocking_max = 5 |
---|
| 464 | z = interp.interpolate(f, point_coords, |
---|
| 465 | start_blocking_len=blocking_max) |
---|
| 466 | answer = [linear_function(point_coords), |
---|
| 467 | 2*linear_function(point_coords) ] |
---|
| 468 | answer = transpose(answer) |
---|
| 469 | #print "z",z |
---|
| 470 | #print "answer",answer |
---|
| 471 | assert allclose(z, answer) |
---|
| 472 | |
---|
| 473 | def test_interpolate_reuse(self): |
---|
| 474 | a = [-1.0, 0.0] |
---|
| 475 | b = [3.0, 4.0] |
---|
| 476 | c = [4.0, 1.0] |
---|
| 477 | d = [-3.0, 2.0] #3 |
---|
| 478 | e = [-1.0, -2.0] |
---|
| 479 | f = [1.0, -2.0] #5 |
---|
| 480 | |
---|
| 481 | vertices = [a, b, c, d,e,f] |
---|
| 482 | triangles = [[0,1,3], [1,0,2], [0,4,5], [0,5,2]] #abd bac aef afc |
---|
| 483 | |
---|
| 484 | |
---|
| 485 | point_coords = [[-2.0, 2.0], |
---|
| 486 | [-1.0, 1.0], |
---|
| 487 | [0.0, 2.0], |
---|
| 488 | [1.0, 1.0], |
---|
| 489 | [2.0, 1.0], |
---|
| 490 | [0.0, 0.0], |
---|
| 491 | [1.0, 0.0], |
---|
| 492 | [0.0, -1.0], |
---|
| 493 | [-0.2, -0.5], |
---|
| 494 | [-0.9, -1.5], |
---|
| 495 | [0.5, -1.9], |
---|
| 496 | [3.0, 1.0]] |
---|
| 497 | |
---|
| 498 | interp = Interpolate(vertices, triangles) |
---|
| 499 | f = array([linear_function(vertices),2*linear_function(vertices) ]) |
---|
| 500 | f = transpose(f) |
---|
| 501 | z = interp.interpolate(f, point_coords, |
---|
| 502 | start_blocking_len=20) |
---|
| 503 | answer = [linear_function(point_coords), |
---|
| 504 | 2*linear_function(point_coords) ] |
---|
| 505 | answer = transpose(answer) |
---|
| 506 | #print "z",z |
---|
| 507 | #print "answer",answer |
---|
| 508 | assert allclose(z, answer) |
---|
[2201] | 509 | assert allclose(interp._A_can_be_reused, True) |
---|
[2189] | 510 | |
---|
| 511 | z = interp.interpolate(f) |
---|
| 512 | assert allclose(z, answer) |
---|
| 513 | |
---|
| 514 | # This causes blocking to occur. |
---|
| 515 | z = interp.interpolate(f, start_blocking_len=10) |
---|
| 516 | assert allclose(z, answer) |
---|
[2201] | 517 | assert allclose(interp._A_can_be_reused, False) |
---|
[2189] | 518 | |
---|
| 519 | #A is recalculated |
---|
| 520 | z = interp.interpolate(f) |
---|
| 521 | assert allclose(z, answer) |
---|
[2201] | 522 | assert allclose(interp._A_can_be_reused, True) |
---|
| 523 | |
---|
[2189] | 524 | interp = Interpolate(vertices, triangles) |
---|
| 525 | #Must raise an exception, no points specified |
---|
| 526 | try: |
---|
| 527 | z = interp.interpolate(f) |
---|
| 528 | except: |
---|
| 529 | pass |
---|
| 530 | |
---|
| 531 | |
---|
[2187] | 532 | #------------------------------------------------------------- |
---|
| 533 | if __name__ == "__main__": |
---|
| 534 | suite = unittest.makeSuite(Test_Interpolate,'test') |
---|
| 535 | runner = unittest.TextTestRunner(verbosity=1) |
---|
| 536 | runner.run(suite) |
---|
| 537 | |
---|
| 538 | |
---|
| 539 | |
---|
| 540 | |
---|
| 541 | |
---|