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1D and 3D tests for eigenvalues_and_eigenvector added.
| 1 | #!/usr/bin/python |
| 2 | # $Id$ |
| 3 | |
| 4 | """ |
| 5 | program generates parts of the util.py and the test_util.py script |
| 6 | """ |
| 7 | test_header="" |
| 8 | test_header+="import unittest\n" |
| 9 | test_header+="import numarray\n" |
| 10 | test_header+="from esys.escript import *\n" |
| 11 | test_header+="from esys.finley import Rectangle\n" |
| 12 | test_header+="class Test_util2(unittest.TestCase):\n" |
| 13 | test_header+=" RES_TOL=1.e-7\n" |
| 14 | test_header+=" def setUp(self):\n" |
| 15 | test_header+=" self.__dom =Rectangle(11,11,2)\n" |
| 16 | test_header+=" self.functionspace = FunctionOnBoundary(self.__dom)\n" |
| 17 | test_tail="" |
| 18 | test_tail+="suite = unittest.TestSuite()\n" |
| 19 | test_tail+="suite.addTest(unittest.makeSuite(Test_util2))\n" |
| 20 | test_tail+="unittest.TextTestRunner(verbosity=2).run(suite)\n" |
| 21 | |
| 22 | case_set=["float","array","constData","taggedData","expandedData","Symbol"] |
| 23 | shape_set=[ (),(2,), (4,5), (6,2,2),(3,2,3,4)] |
| 24 | |
| 25 | t_prog="" |
| 26 | t_prog_with_tags="" |
| 27 | t_prog_failing="" |
| 28 | u_prog="" |
| 29 | |
| 30 | def wherepos(arg): |
| 31 | if arg>0.: |
| 32 | return 1. |
| 33 | else: |
| 34 | return 0. |
| 35 | |
| 36 | |
| 37 | class OPERATOR: |
| 38 | def __init__(self,nickname,rng=[-1000.,1000],test_expr="",math_expr=None, |
| 39 | numarray_expr="",symbol_expr=None,diff=None,name=""): |
| 40 | self.nickname=nickname |
| 41 | self.rng=rng |
| 42 | self.test_expr=test_expr |
| 43 | if math_expr==None: |
| 44 | self.math_expr=test_expr.replace("%a1%","arg") |
| 45 | else: |
| 46 | self.math_expr=math_expr |
| 47 | self.numarray_expr=numarray_expr |
| 48 | self.symbol_expr=symbol_expr |
| 49 | self.diff=diff |
| 50 | self.name=name |
| 51 | |
| 52 | import random |
| 53 | import numarray |
| 54 | import math |
| 55 | finc=1.e-6 |
| 56 | |
| 57 | def getResultCaseForBin(case0,case1): |
| 58 | if case0=="float": |
| 59 | if case1=="float": |
| 60 | case="float" |
| 61 | elif case1=="array": |
| 62 | case="array" |
| 63 | elif case1=="constData": |
| 64 | case="constData" |
| 65 | elif case1=="taggedData": |
| 66 | case="taggedData" |
| 67 | elif case1=="expandedData": |
| 68 | case="expandedData" |
| 69 | elif case1=="Symbol": |
| 70 | case="Symbol" |
| 71 | else: |
| 72 | raise ValueError,"unknown case1=%s"%case1 |
| 73 | elif case0=="array": |
| 74 | if case1=="float": |
| 75 | case="array" |
| 76 | elif case1=="array": |
| 77 | case="array" |
| 78 | elif case1=="constData": |
| 79 | case="constData" |
| 80 | elif case1=="taggedData": |
| 81 | case="taggedData" |
| 82 | elif case1=="expandedData": |
| 83 | case="expandedData" |
| 84 | elif case1=="Symbol": |
| 85 | case="Symbol" |
| 86 | else: |
| 87 | raise ValueError,"unknown case1=%s"%case1 |
| 88 | elif case0=="constData": |
| 89 | if case1=="float": |
| 90 | case="constData" |
| 91 | elif case1=="array": |
| 92 | case="constData" |
| 93 | elif case1=="constData": |
| 94 | case="constData" |
| 95 | elif case1=="taggedData": |
| 96 | case="taggedData" |
| 97 | elif case1=="expandedData": |
| 98 | case="expandedData" |
| 99 | elif case1=="Symbol": |
| 100 | case="Symbol" |
| 101 | else: |
| 102 | raise ValueError,"unknown case1=%s"%case1 |
| 103 | elif case0=="taggedData": |
| 104 | if case1=="float": |
| 105 | case="taggedData" |
| 106 | elif case1=="array": |
| 107 | case="taggedData" |
| 108 | elif case1=="constData": |
| 109 | case="taggedData" |
| 110 | elif case1=="taggedData": |
| 111 | case="taggedData" |
| 112 | elif case1=="expandedData": |
| 113 | case="expandedData" |
| 114 | elif case1=="Symbol": |
| 115 | case="Symbol" |
| 116 | else: |
| 117 | raise ValueError,"unknown case1=%s"%case1 |
| 118 | elif case0=="expandedData": |
| 119 | if case1=="float": |
| 120 | case="expandedData" |
| 121 | elif case1=="array": |
| 122 | case="expandedData" |
| 123 | elif case1=="constData": |
| 124 | case="expandedData" |
| 125 | elif case1=="taggedData": |
| 126 | case="expandedData" |
| 127 | elif case1=="expandedData": |
| 128 | case="expandedData" |
| 129 | elif case1=="Symbol": |
| 130 | case="Symbol" |
| 131 | else: |
| 132 | raise ValueError,"unknown case1=%s"%case1 |
| 133 | elif case0=="Symbol": |
| 134 | if case1=="float": |
| 135 | case="Symbol" |
| 136 | elif case1=="array": |
| 137 | case="Symbol" |
| 138 | elif case1=="constData": |
| 139 | case="Symbol" |
| 140 | elif case1=="taggedData": |
| 141 | case="Symbol" |
| 142 | elif case1=="expandedData": |
| 143 | case="Symbol" |
| 144 | elif case1=="Symbol": |
| 145 | case="Symbol" |
| 146 | else: |
| 147 | raise ValueError,"unknown case1=%s"%case1 |
| 148 | else: |
| 149 | raise ValueError,"unknown case0=%s"%case0 |
| 150 | return case |
| 151 | |
| 152 | |
| 153 | def makeArray(shape,rng): |
| 154 | l=rng[1]-rng[0] |
| 155 | out=numarray.zeros(shape,numarray.Float64) |
| 156 | if len(shape)==0: |
| 157 | out=l*random.random()+rng[0] |
| 158 | elif len(shape)==1: |
| 159 | for i0 in range(shape[0]): |
| 160 | out[i0]=l*random.random()+rng[0] |
| 161 | elif len(shape)==2: |
| 162 | for i0 in range(shape[0]): |
| 163 | for i1 in range(shape[1]): |
| 164 | out[i0,i1]=l*random.random()+rng[0] |
| 165 | elif len(shape)==3: |
| 166 | for i0 in range(shape[0]): |
| 167 | for i1 in range(shape[1]): |
| 168 | for i2 in range(shape[2]): |
| 169 | out[i0,i1,i2]=l*random.random()+rng[0] |
| 170 | elif len(shape)==4: |
| 171 | for i0 in range(shape[0]): |
| 172 | for i1 in range(shape[1]): |
| 173 | for i2 in range(shape[2]): |
| 174 | for i3 in range(shape[3]): |
| 175 | out[i0,i1,i2,i3]=l*random.random()+rng[0] |
| 176 | elif len(shape)==5: |
| 177 | for i0 in range(shape[0]): |
| 178 | for i1 in range(shape[1]): |
| 179 | for i2 in range(shape[2]): |
| 180 | for i3 in range(shape[3]): |
| 181 | for i4 in range(shape[4]): |
| 182 | out[i0,i1,i2,i3,i4]=l*ranm.random()+rng[0] |
| 183 | else: |
| 184 | raise SystemError,"rank is restricted to 5" |
| 185 | return out |
| 186 | |
| 187 | def makeNumberedArray(shape,s=1.): |
| 188 | out=numarray.zeros(shape,numarray.Float64) |
| 189 | if len(shape)==0: |
| 190 | out=s*1. |
| 191 | elif len(shape)==1: |
| 192 | for i0 in range(shape[0]): |
| 193 | out[i0]=s*int(8*random.random()+1) |
| 194 | elif len(shape)==2: |
| 195 | for i0 in range(shape[0]): |
| 196 | for i1 in range(shape[1]): |
| 197 | out[i0,i1]=s*int(8*random.random()+1) |
| 198 | elif len(shape)==3: |
| 199 | for i0 in range(shape[0]): |
| 200 | for i1 in range(shape[1]): |
| 201 | for i2 in range(shape[2]): |
| 202 | out[i0,i1,i2]=s*int(8*random.random()+1) |
| 203 | elif len(shape)==4: |
| 204 | for i0 in range(shape[0]): |
| 205 | for i1 in range(shape[1]): |
| 206 | for i2 in range(shape[2]): |
| 207 | for i3 in range(shape[3]): |
| 208 | out[i0,i1,i2,i3]=s*int(8*random.random()+1) |
| 209 | else: |
| 210 | raise SystemError,"rank is restricted to 4" |
| 211 | return out |
| 212 | |
| 213 | def makeResult(val,test_expr): |
| 214 | if isinstance(val,float): |
| 215 | out=eval(test_expr.replace("%a1%","val")) |
| 216 | elif len(val.shape)==0: |
| 217 | out=eval(test_expr.replace("%a1%","val")) |
| 218 | elif len(val.shape)==1: |
| 219 | out=numarray.zeros(val.shape,numarray.Float64) |
| 220 | for i0 in range(val.shape[0]): |
| 221 | out[i0]=eval(test_expr.replace("%a1%","val[i0]")) |
| 222 | elif len(val.shape)==2: |
| 223 | out=numarray.zeros(val.shape,numarray.Float64) |
| 224 | for i0 in range(val.shape[0]): |
| 225 | for i1 in range(val.shape[1]): |
| 226 | out[i0,i1]=eval(test_expr.replace("%a1%","val[i0,i1]")) |
| 227 | elif len(val.shape)==3: |
| 228 | out=numarray.zeros(val.shape,numarray.Float64) |
| 229 | for i0 in range(val.shape[0]): |
| 230 | for i1 in range(val.shape[1]): |
| 231 | for i2 in range(val.shape[2]): |
| 232 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val[i0,i1,i2]")) |
| 233 | elif len(val.shape)==4: |
| 234 | out=numarray.zeros(val.shape,numarray.Float64) |
| 235 | for i0 in range(val.shape[0]): |
| 236 | for i1 in range(val.shape[1]): |
| 237 | for i2 in range(val.shape[2]): |
| 238 | for i3 in range(val.shape[3]): |
| 239 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val[i0,i1,i2,i3]")) |
| 240 | else: |
| 241 | raise SystemError,"rank is restricted to 4" |
| 242 | return out |
| 243 | |
| 244 | def makeResult2(val0,val1,test_expr): |
| 245 | if isinstance(val0,float): |
| 246 | if isinstance(val1,float): |
| 247 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
| 248 | elif len(val1.shape)==0: |
| 249 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
| 250 | elif len(val1.shape)==1: |
| 251 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 252 | for i0 in range(val1.shape[0]): |
| 253 | out[i0]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0]")) |
| 254 | elif len(val1.shape)==2: |
| 255 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 256 | for i0 in range(val1.shape[0]): |
| 257 | for i1 in range(val1.shape[1]): |
| 258 | out[i0,i1]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1]")) |
| 259 | elif len(val1.shape)==3: |
| 260 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 261 | for i0 in range(val1.shape[0]): |
| 262 | for i1 in range(val1.shape[1]): |
| 263 | for i2 in range(val1.shape[2]): |
| 264 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2]")) |
| 265 | elif len(val1.shape)==4: |
| 266 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 267 | for i0 in range(val1.shape[0]): |
| 268 | for i1 in range(val1.shape[1]): |
| 269 | for i2 in range(val1.shape[2]): |
| 270 | for i3 in range(val1.shape[3]): |
| 271 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2,i3]")) |
| 272 | else: |
| 273 | raise SystemError,"rank of val1 is restricted to 4" |
| 274 | elif len(val0.shape)==0: |
| 275 | if isinstance(val1,float): |
| 276 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
| 277 | elif len(val1.shape)==0: |
| 278 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
| 279 | elif len(val1.shape)==1: |
| 280 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 281 | for i0 in range(val1.shape[0]): |
| 282 | out[i0]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0]")) |
| 283 | elif len(val1.shape)==2: |
| 284 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 285 | for i0 in range(val1.shape[0]): |
| 286 | for i1 in range(val1.shape[1]): |
| 287 | out[i0,i1]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1]")) |
| 288 | elif len(val1.shape)==3: |
| 289 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 290 | for i0 in range(val1.shape[0]): |
| 291 | for i1 in range(val1.shape[1]): |
| 292 | for i2 in range(val1.shape[2]): |
| 293 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2]")) |
| 294 | elif len(val1.shape)==4: |
| 295 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 296 | for i0 in range(val1.shape[0]): |
| 297 | for i1 in range(val1.shape[1]): |
| 298 | for i2 in range(val1.shape[2]): |
| 299 | for i3 in range(val1.shape[3]): |
| 300 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2,i3]")) |
| 301 | else: |
| 302 | raise SystemError,"rank of val1 is restricted to 4" |
| 303 | elif len(val0.shape)==1: |
| 304 | if isinstance(val1,float): |
| 305 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 306 | for i0 in range(val0.shape[0]): |
| 307 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1")) |
| 308 | elif len(val1.shape)==0: |
| 309 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 310 | for i0 in range(val0.shape[0]): |
| 311 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1")) |
| 312 | elif len(val1.shape)==1: |
| 313 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 314 | for i0 in range(val0.shape[0]): |
| 315 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0]")) |
| 316 | elif len(val1.shape)==2: |
| 317 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) |
| 318 | for i0 in range(val0.shape[0]): |
| 319 | for j1 in range(val1.shape[1]): |
| 320 | out[i0,j1]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1]")) |
| 321 | elif len(val1.shape)==3: |
| 322 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) |
| 323 | for i0 in range(val0.shape[0]): |
| 324 | for j1 in range(val1.shape[1]): |
| 325 | for j2 in range(val1.shape[2]): |
| 326 | out[i0,j1,j2]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1,j2]")) |
| 327 | elif len(val1.shape)==4: |
| 328 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) |
| 329 | for i0 in range(val0.shape[0]): |
| 330 | for j1 in range(val1.shape[1]): |
| 331 | for j2 in range(val1.shape[2]): |
| 332 | for j3 in range(val1.shape[3]): |
| 333 | out[i0,j1,j2,j3]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1,j2,j3]")) |
| 334 | else: |
| 335 | raise SystemError,"rank of val1 is restricted to 4" |
| 336 | elif len(val0.shape)==2: |
| 337 | if isinstance(val1,float): |
| 338 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 339 | for i0 in range(val0.shape[0]): |
| 340 | for i1 in range(val0.shape[1]): |
| 341 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1")) |
| 342 | elif len(val1.shape)==0: |
| 343 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 344 | for i0 in range(val0.shape[0]): |
| 345 | for i1 in range(val0.shape[1]): |
| 346 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1")) |
| 347 | elif len(val1.shape)==1: |
| 348 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 349 | for i0 in range(val0.shape[0]): |
| 350 | for i1 in range(val0.shape[1]): |
| 351 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0]")) |
| 352 | elif len(val1.shape)==2: |
| 353 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 354 | for i0 in range(val0.shape[0]): |
| 355 | for i1 in range(val0.shape[1]): |
| 356 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1]")) |
| 357 | elif len(val1.shape)==3: |
| 358 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 359 | for i0 in range(val0.shape[0]): |
| 360 | for i1 in range(val0.shape[1]): |
| 361 | for j2 in range(val1.shape[2]): |
| 362 | out[i0,i1,j2]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1,j2]")) |
| 363 | elif len(val1.shape)==4: |
| 364 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 365 | for i0 in range(val0.shape[0]): |
| 366 | for i1 in range(val0.shape[1]): |
| 367 | for j2 in range(val1.shape[2]): |
| 368 | for j3 in range(val1.shape[3]): |
| 369 | out[i0,i1,j2,j3]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1,j2,j3]")) |
| 370 | else: |
| 371 | raise SystemError,"rank of val1 is restricted to 4" |
| 372 | elif len(val0.shape)==3: |
| 373 | if isinstance(val1,float): |
| 374 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 375 | for i0 in range(val0.shape[0]): |
| 376 | for i1 in range(val0.shape[1]): |
| 377 | for i2 in range(val0.shape[2]): |
| 378 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1")) |
| 379 | elif len(val1.shape)==0: |
| 380 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 381 | for i0 in range(val0.shape[0]): |
| 382 | for i1 in range(val0.shape[1]): |
| 383 | for i2 in range(val0.shape[2]): |
| 384 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1")) |
| 385 | elif len(val1.shape)==1: |
| 386 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 387 | for i0 in range(val0.shape[0]): |
| 388 | for i1 in range(val0.shape[1]): |
| 389 | for i2 in range(val0.shape[2]): |
| 390 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0]")) |
| 391 | elif len(val1.shape)==2: |
| 392 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 393 | for i0 in range(val0.shape[0]): |
| 394 | for i1 in range(val0.shape[1]): |
| 395 | for i2 in range(val0.shape[2]): |
| 396 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1]")) |
| 397 | elif len(val1.shape)==3: |
| 398 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 399 | for i0 in range(val0.shape[0]): |
| 400 | for i1 in range(val0.shape[1]): |
| 401 | for i2 in range(val0.shape[2]): |
| 402 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1,i2]")) |
| 403 | elif len(val1.shape)==4: |
| 404 | out=numarray.zeros(val0.shape+val1.shape[3:],numarray.Float64) |
| 405 | for i0 in range(val0.shape[0]): |
| 406 | for i1 in range(val0.shape[1]): |
| 407 | for i2 in range(val0.shape[2]): |
| 408 | for j3 in range(val1.shape[3]): |
| 409 | out[i0,i1,i2,j3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1,i2,j3]")) |
| 410 | else: |
| 411 | raise SystemError,"rank of val1 is rargs[1]estricted to 4" |
| 412 | elif len(val0.shape)==4: |
| 413 | if isinstance(val1,float): |
| 414 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 415 | for i0 in range(val0.shape[0]): |
| 416 | for i1 in range(val0.shape[1]): |
| 417 | for i2 in range(val0.shape[2]): |
| 418 | for i3 in range(val0.shape[3]): |
| 419 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1")) |
| 420 | elif len(val1.shape)==0: |
| 421 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 422 | for i0 in range(val0.shape[0]): |
| 423 | for i1 in range(val0.shape[1]): |
| 424 | for i2 in range(val0.shape[2]): |
| 425 | for i3 in range(val0.shape[3]): |
| 426 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1")) |
| 427 | elif len(val1.shape)==1: |
| 428 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 429 | for i0 in range(val0.shape[0]): |
| 430 | for i1 in range(val0.shape[1]): |
| 431 | for i2 in range(val0.shape[2]): |
| 432 | for i3 in range(val0.shape[3]): |
| 433 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0]")) |
| 434 | elif len(val1.shape)==2: |
| 435 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 436 | for i0 in range(val0.shape[0]): |
| 437 | for i1 in range(val0.shape[1]): |
| 438 | for i2 in range(val0.shape[2]): |
| 439 | for i3 in range(val0.shape[3]): |
| 440 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1]")) |
| 441 | elif len(val1.shape)==3: |
| 442 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 443 | for i0 in range(val0.shape[0]): |
| 444 | for i1 in range(val0.shape[1]): |
| 445 | for i2 in range(val0.shape[2]): |
| 446 | for i3 in range(val0.shape[3]): |
| 447 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1,i2]")) |
| 448 | elif len(val1.shape)==4: |
| 449 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 450 | for i0 in range(val0.shape[0]): |
| 451 | for i1 in range(val0.shape[1]): |
| 452 | for i2 in range(val0.shape[2]): |
| 453 | for i3 in range(val0.shape[3]): |
| 454 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1,i2,i3]")) |
| 455 | else: |
| 456 | raise SystemError,"rank of val1 is restricted to 4" |
| 457 | else: |
| 458 | raise SystemError,"rank is restricted to 4" |
| 459 | return out |
| 460 | |
| 461 | |
| 462 | def mkText(case,name,a,a1=None,use_tagging_for_expanded_data=False): |
| 463 | t_out="" |
| 464 | if case=="float": |
| 465 | if isinstance(a,float): |
| 466 | t_out+=" %s=%s\n"%(name,a) |
| 467 | elif a.rank==0: |
| 468 | t_out+=" %s=%s\n"%(name,a) |
| 469 | else: |
| 470 | t_out+=" %s=numarray.array(%s)\n"%(name,a.tolist()) |
| 471 | elif case=="array": |
| 472 | if isinstance(a,float): |
| 473 | t_out+=" %s=numarray.array(%s)\n"%(name,a) |
| 474 | elif a.rank==0: |
| 475 | t_out+=" %s=numarray.array(%s)\n"%(name,a) |
| 476 | else: |
| 477 | t_out+=" %s=numarray.array(%s)\n"%(name,a.tolist()) |
| 478 | elif case=="constData": |
| 479 | if isinstance(a,float): |
| 480 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 481 | elif a.rank==0: |
| 482 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 483 | else: |
| 484 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) |
| 485 | elif case=="taggedData": |
| 486 | if isinstance(a,float): |
| 487 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 488 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
| 489 | elif a.rank==0: |
| 490 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 491 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
| 492 | else: |
| 493 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) |
| 494 | t_out+=" %s.setTaggedValue(1,numarray.array(%s))\n"%(name,a1.tolist()) |
| 495 | elif case=="expandedData": |
| 496 | if use_tagging_for_expanded_data: |
| 497 | if isinstance(a,float): |
| 498 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 499 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
| 500 | elif a.rank==0: |
| 501 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 502 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
| 503 | else: |
| 504 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) |
| 505 | t_out+=" %s.setTaggedValue(1,numarray.array(%s))\n"%(name,a1.tolist()) |
| 506 | t_out+=" %s.expand()\n"%name |
| 507 | else: |
| 508 | t_out+=" msk_%s=whereZero(self.functionspace.getX()[0],1.e-8)\n"%name |
| 509 | if isinstance(a,float): |
| 510 | t_out+=" %s=(1.-msk_%s)*(%s)+msk_%s*(%s)\n"%(name,name,a,name,a1) |
| 511 | elif a.rank==0: |
| 512 | t_out+=" %s=msk_%s*numarray.array(%s)+(1.-msk_%s)*numarray.array(%s)\n"%(name,name,a,name,a1) |
| 513 | else: |
| 514 | t_out+=" %s=msk_%s*numarray.array(%s)+(1.-msk_%s)*numarray.array(%s)\n"%(name,name,a.tolist(),name,a1.tolist()) |
| 515 | elif case=="Symbol": |
| 516 | if isinstance(a,float): |
| 517 | t_out+=" %s=Symbol(shape=())\n"%(name) |
| 518 | elif a.rank==0: |
| 519 | t_out+=" %s=Symbol(shape=())\n"%(name) |
| 520 | else: |
| 521 | t_out+=" %s=Symbol(shape=%s)\n"%(name,str(a.shape)) |
| 522 | |
| 523 | return t_out |
| 524 | |
| 525 | def mkTypeAndShapeTest(case,sh,argstr,name=""): |
| 526 | text="" |
| 527 | if case=="float": |
| 528 | text+=" self.failUnless(isinstance(%s,float),\"wrong type of result%s.\")\n"%(argstr,name) |
| 529 | elif case=="array": |
| 530 | text+=" self.failUnless(isinstance(%s,numarray.NumArray),\"wrong type of result%s.\")\n"%(argstr,name) |
| 531 | text+=" self.failUnlessEqual(%s.shape,%s,\"wrong shape of result%s.\")\n"%(argstr,str(sh),name) |
| 532 | elif case in ["constData","taggedData","expandedData"]: |
| 533 | text+=" self.failUnless(isinstance(%s,Data),\"wrong type of result%s.\")\n"%(argstr,name) |
| 534 | text+=" self.failUnlessEqual(%s.getShape(),%s,\"wrong shape of result%s.\")\n"%(argstr,str(sh),name) |
| 535 | elif case=="Symbol": |
| 536 | text+=" self.failUnless(isinstance(%s,Symbol),\"wrong type of result%s.\")\n"%(argstr,name) |
| 537 | text+=" self.failUnlessEqual(%s.getShape(),%s,\"wrong shape of result%s.\")\n"%(argstr,str(sh),name) |
| 538 | return text |
| 539 | |
| 540 | def mkCode(txt,args=[],intend=""): |
| 541 | s=txt.split("\n") |
| 542 | if len(s)>1: |
| 543 | out="" |
| 544 | for l in s: |
| 545 | out+=intend+l+"\n" |
| 546 | else: |
| 547 | out="%sreturn %s\n"%(intend,txt) |
| 548 | c=1 |
| 549 | for r in args: |
| 550 | out=out.replace("%%a%s%%"%c,r) |
| 551 | return out |
| 552 | |
| 553 | |
| 554 | #======================================================================================================= |
| 555 | # eigenvalues and eigen vectors 2D: |
| 556 | #======================================================================================================= |
| 557 | alltests= \ |
| 558 | [ ("case0",[[0.0, 0.0], [0.0, 0.0]],[0.0, 0.0]) \ |
| 559 | , ("case3",[[-1.0, 0.0], [0.0, -1.0]],[-1.0, -1.0]) \ |
| 560 | , ("case5",[[-0.99999999999999967, -6.4606252205695602e-16], [-6.4606252205695602e-16, -0.99999999999999967]],[-1.0, -1.0]) \ |
| 561 | , ("case6",[[0.0, 0.0], [0.0, 0.0001]],[0.0, 0.0001]) \ |
| 562 | , ("case7",[[0.0001, 0.0], [0.0, 0.0]],[0.0, 0.0001]) \ |
| 563 | , ("case8",[[6.0598371831785722e-06, 2.3859213977648625e-05], [2.3859213977648629e-05, 9.3940162816821425e-05]],[0.0, 0.0001]) \ |
| 564 | , ("case9",[[1.0, 0.0], [0.0, 2.0]],[1.0, 2.0]) \ |
| 565 | , ("case10",[[2.0, 0.0], [0.0, 1.0]],[1.0, 2.0]) \ |
| 566 | , ("case11",[[1.0605983718317855, 0.23859213977648688], [0.23859213977648688, 1.9394016281682138]],[1.0, 2.0]) \ |
| 567 | , ("case12",[[1.0, 0.0], [0.0, 1000000.0]],[1.0, 1000000.0]) \ |
| 568 | , ("case13",[[1000000.0, 0.0], [0.0, 1.0]],[1.0, 1000000.0]) \ |
| 569 | , ("case14",[[60599.311233413886, 238591.90118434647], [238591.90118434647, 939401.68876658613]],[1.0, 1000000.0]) \ |
| 570 | ] |
| 571 | dim=2 |
| 572 | |
| 573 | |
| 574 | alltests= \ |
| 575 | [ ("case0",[[0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0]],[0.0, 0.0, 0.0]) \ |
| 576 | , ("case5",[[10.0, 0.0, 0.0], [0.0, 10.0, 0.0], [0.0, 0.0, 10.0]],[10.0, 10.0, 10.0]) \ |
| 577 | , ("case10",[[0.9, 0.0, 0.0], [0.0, 0.9, 0.0], [0.0, 0.0, 1.0]],[0.9, 0.9, 1.0]) \ |
| 578 | , ("case11",[[0.9, 0.0, 0.0], [0.0, 0.97060899725040983, -0.045555123008643325], [0.0, -0.045555123008643339, 0.92939100274959041]],[0.9, 0.9, 1.0]) \ |
| 579 | , ("case12",[[0.92694799760252555, 0.0, 0.044368966468320177], [0.0, 0.9, 0.0], [0.044368966468320184, 0.0, 0.97305200239747425]],[0.9, 0.9, 1.0]) \ |
| 580 | , ("case13",[[1.0, 0.0, 0.0], [0.0, 0.9, 0.], [0.0, 0., 0.9]],[0.9, 0.9, 1.0]) \ |
| 581 | , ("case14",[[0.92379770619813639, 0.041031106298491521, -0.011396846732439278], [0.041031106298491535, 0.97074428392640366, -0.019650012730342326], [-0.011396846732439236, -0.019650012730342337, 0.90545800987545966]],[0.9, 0.9, 1.0]) \ |
| 582 | , ("case15",[[1.0, 0.0, 0.0], [0.0, 1.1, 0.0], [0.0, 0.0, 1.1]],[1.0, 1.1, 1.1]) \ |
| 583 | , ("case17",[[1.0269479976025255, 0.0, 0.044368966468320309], [0.0, 1.1, 0.0], [0.044368966468320295, 0.0, 1.0730520023974743]],[1.0, 1.1, 1.1]) \ |
| 584 | , ("case18",[[1.1, 0.0, 0.0], [0.0, 1.0153410887977139, -0.036038311201720394], [0.0, -0.036038311201720373, 1.084658911202286]],[1.0, 1.1, 1.1]) \ |
| 585 | , ("case19",[[1.035487967756175, 0.026317079185831614, -0.039960133424212368], [0.026317079185831618, 1.0892641940924184, 0.016301362071911414], [-0.039960133424212355, 0.016301362071911431, 1.0752478381514063]],[1.0, 1.1, 1.1]) \ |
| 586 | , ("case20",[[1.0, 0.0, 0.0], [0.0, 2.0, 0.0], [0.0, 0.0, 3.0]],[1.0, 2.0, 3.0]) \ |
| 587 | , ("case21",[[1.0, 0.0, 0.0], [0.0, 2.7060899725040968, -0.45555123008643206], [0.0, -0.45555123008643228, 2.2939100274959037]],[1.0, 2.0, 3.0]) \ |
| 588 | , ("case22",[[1.5389599520505153, 0.0, 0.88737932936638753], [0.0, 2.0, 0.0], [0.88737932936638753, 0.0, 2.4610400479494858]],[1.0, 2.0, 3.0]) \ |
| 589 | , ("case23",[[3.0, 0.0, 0.0], [0.0, 1.153410887977139, -0.36038311201720391], [0.0, -0.36038311201720391, 1.8465891120228608]],[1.0, 2.0, 3.0]) \ |
| 590 | , ("case24",[[1.5928567395431172, 0.67348185484323142, -0.51356980156651744], [0.67348185484323153, 2.6000847801882254, -0.033486506584313548], [-0.51356980156651744, -0.033486506584313541, 1.8070584802686565]],[1.0, 2.0, 3.0]) \ |
| 591 | , ("case25",[[1.0, 0.0, 0.0], [0.0, 2.0, 0.0], [0.0, 0.0, 30000.0]],[1.0, 2.0, 30000.0]) \ |
| 592 | , ("case26",[[1.0, 0.0, 0.0], [0.0, 21183.286995177881, -13665.625800132779], [0.0, -13665.625800132779, 8818.7130048221279]],[1.0, 2.0, 30000.0]) \ |
| 593 | , ("case27",[[8085.1298007817086, 0.0, 13310.246250831115], [0.0, 2.0, 0.0], [13310.246250831115, 0.0, 21915.870199218316]],[1.0, 2.0, 30000.0]) \ |
| 594 | , ("case28",[[30000.0, 0.0, 0.0], [0.0, 1.153410887977139, -0.36038311201720391], [0.0, -0.36038311201720391, 1.8465891120228608]],[1.0, 2.0, 30000.0]) \ |
| 595 | , ("case29",[[7140.1907849945546, 12308.774438213351, -3419.2256841313947], [12308.774438213351, 21223.762934183575, -5894.4478052274408], [-3419.2256841313947, -5894.4478052274408, 1639.0462808218595]],[1.0, 2.0, 30000.0]) \ |
| 596 | ] |
| 597 | |
| 598 | dim=3 |
| 599 | |
| 600 | alltests= \ |
| 601 | [ ("case0",[[0.0]],[0.0]) \ |
| 602 | , ("case1",[[1.0]],[1.0]) \ |
| 603 | ] |
| 604 | dim=1 |
| 605 | |
| 606 | for case in ["constData","taggedData","expandedData"]: |
| 607 | n=0 |
| 608 | while n<len(alltests): |
| 609 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 610 | tname="test_eigenvalues_and_eigenvectors_%s_dim%s_%s"%(case,dim,alltests[n][0]) |
| 611 | text+=" def %s(self):\n"%tname |
| 612 | a_0=numarray.array(alltests[n][1],numarray.Float64) |
| 613 | ev_0=numarray.array(alltests[n][2],numarray.Float64) |
| 614 | if case in ["taggedData", "expandedData"]: |
| 615 | if n+1<len(alltests): |
| 616 | a1_0=numarray.array(alltests[n+1][1],numarray.Float64) |
| 617 | ev1_0=numarray.array(alltests[n+1][2],numarray.Float64) |
| 618 | else: |
| 619 | a1_0=numarray.array(alltests[0][1],numarray.Float64) |
| 620 | ev1_0=numarray.array(alltests[0][2],numarray.Float64) |
| 621 | n+=2 |
| 622 | else: |
| 623 | a1_0=a_0 |
| 624 | ev1_0=ev_0 |
| 625 | n+=1 |
| 626 | text+=mkText(case,"arg",a_0,a1_0) |
| 627 | text+=" res=eigenvalues_and_eigenvectors(arg)\n" |
| 628 | text+=mkText(case,"ref_ev",ev_0,ev1_0) |
| 629 | text+=mkTypeAndShapeTest(case,(dim,),"res[0]"," for eigenvalues") |
| 630 | text+=mkTypeAndShapeTest(case,(dim,dim),"res[1]"," for eigenvectors") |
| 631 | text+=" self.failUnless(Lsup(res[0]-ref_ev)<=self.RES_TOL*Lsup(ref_ev),\"wrong eigenvalues\")\n" |
| 632 | for i in range(dim): |
| 633 | text+=" self.failUnless(Lsup(matrixmult(arg,res[1][:,%s])-res[0][%s]*res[1][:,%s])<=self.RES_TOL*Lsup(res[0]),\"wrong eigenvector %s\")\n"%(i,i,i,i) |
| 634 | text+=" self.failUnless(Lsup(matrixmult(transpose(res[1]),res[1])-kronecker(%s))<=self.RES_TOL,\"eigenvectors are not orthonormal\")\n"%dim |
| 635 | if case == "taggedData" : |
| 636 | t_prog_with_tags+=text |
| 637 | else: |
| 638 | t_prog+=text |
| 639 | print test_header |
| 640 | print t_prog |
| 641 | print t_prog_with_tags |
| 642 | print test_tail |
| 643 | 1/0 |
| 644 | #======================================================================================================= |
| 645 | # get slices |
| 646 | #======================================================================================================= |
| 647 | from esys.escript import * |
| 648 | for case0 in ["constData","taggedData","expandedData"]: |
| 649 | for sh0 in [ (3,), (3,4), (3,4,3) ,(4,3,3,3)]: |
| 650 | # get perm: |
| 651 | if len(sh0)==2: |
| 652 | check=[[1,0]] |
| 653 | elif len(sh0)==3: |
| 654 | check=[[1,0,2], |
| 655 | [1,2,0], |
| 656 | [2,1,0], |
| 657 | [2,0,2], |
| 658 | [0,2,1]] |
| 659 | elif len(sh0)==4: |
| 660 | check=[[0,1,3,2], |
| 661 | [0,2,1,3], |
| 662 | [0,2,3,1], |
| 663 | [0,3,2,1], |
| 664 | [0,3,1,2] , |
| 665 | [1,0,2,3], |
| 666 | [1,0,3,2], |
| 667 | [1,2,0,3], |
| 668 | [1,2,3,0], |
| 669 | [1,3,2,0], |
| 670 | [1,3,0,2], |
| 671 | [2,0,1,3], |
| 672 | [2,0,3,1], |
| 673 | [2,1,0,3], |
| 674 | [2,1,3,0], |
| 675 | [2,3,1,0], |
| 676 | [2,3,0,1], |
| 677 | [3,0,1,2], |
| 678 | [3,0,2,1], |
| 679 | [3,1,0,2], |
| 680 | [3,1,2,0], |
| 681 | [3,2,1,0], |
| 682 | [3,2,0,1]] |
| 683 | else: |
| 684 | check=[] |
| 685 | |
| 686 | # create the test cases: |
| 687 | processed=[] |
| 688 | l=["R","U","L","P","C","N"] |
| 689 | c=[""] |
| 690 | for i in range(len(sh0)): |
| 691 | tmp=[] |
| 692 | for ci in c: |
| 693 | tmp+=[ci+li for li in l] |
| 694 | c=tmp |
| 695 | # SHUFFLE |
| 696 | c2=[] |
| 697 | while len(c)>0: |
| 698 | i=int(random.random()*len(c)) |
| 699 | c2.append(c[i]) |
| 700 | del c[i] |
| 701 | c=c2 |
| 702 | for ci in c: |
| 703 | t="" |
| 704 | sh=() |
| 705 | sl=() |
| 706 | for i in range(len(ci)): |
| 707 | if ci[i]=="R": |
| 708 | s="%s:%s"%(1,sh0[i]-1) |
| 709 | sl=sl+(slice(1,sh0[i]-1),) |
| 710 | sh=sh+(sh0[i]-2,) |
| 711 | if ci[i]=="U": |
| 712 | s=":%s"%(sh0[i]-1) |
| 713 | sh=sh+(sh0[i]-1,) |
| 714 | sl=sl+(slice(0,sh0[i]-1),) |
| 715 | if ci[i]=="L": |
| 716 | s="2:" |
| 717 | sh=sh+(sh0[i]-2,) |
| 718 | sl=sl+(slice(2,sh0[i]),) |
| 719 | if ci[i]=="P": |
| 720 | s="%s"%(int(sh0[i]/2)) |
| 721 | sl=sl+(int(sh0[i]/2),) |
| 722 | if ci[i]=="C": |
| 723 | s=":" |
| 724 | sh=sh+(sh0[i],) |
| 725 | sl=sl+(slice(0,sh0[i]),) |
| 726 | if ci[i]=="N": |
| 727 | s="" |
| 728 | sh=sh+(sh0[i],) |
| 729 | if len(s)>0: |
| 730 | if not t=="": t+="," |
| 731 | t+=s |
| 732 | if len(sl)==1: sl=sl[0] |
| 733 | N_found=False |
| 734 | noN_found=False |
| 735 | process=len(t)>0 |
| 736 | for i in ci: |
| 737 | if i=="N": |
| 738 | if not noN_found and N_found: process=False |
| 739 | N_found=True |
| 740 | else: |
| 741 | if N_found: process=False |
| 742 | noNfound=True |
| 743 | # is there a similar one processed allready |
| 744 | if process and ci.find("N")==-1: |
| 745 | for ci2 in processed: |
| 746 | for chi in check: |
| 747 | is_perm=True |
| 748 | for i in range(len(chi)): |
| 749 | if not ci[i]==ci2[chi[i]]: is_perm=False |
| 750 | if is_perm: process=False |
| 751 | # if not process: print ci," rejected" |
| 752 | if process: |
| 753 | processed.append(ci) |
| 754 | for case1 in ["array","constData","taggedData","expandedData"]: |
| 755 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 756 | tname="test_setslice_%s_rank%s_%s_%s"%(case0,len(sh0),case1,ci) |
| 757 | text+=" def %s(self):\n"%tname |
| 758 | a_0=makeNumberedArray(sh0) |
| 759 | if case0 in ["taggedData", "expandedData"]: |
| 760 | a1_0=makeNumberedArray(sh0) |
| 761 | else: |
| 762 | a1_0=a_0*1. |
| 763 | |
| 764 | a_1=makeNumberedArray(sh) |
| 765 | if case1 in ["taggedData", "expandedData"]: |
| 766 | a1_1=makeNumberedArray(sh) |
| 767 | else: |
| 768 | a1_1=a_1*1. |
| 769 | |
| 770 | text+=mkText(case0,"arg",a_0,a1_0) |
| 771 | text+=mkText(case1,"val",a_1,a1_1) |
| 772 | text+=" arg[%s]=val\n"%t |
| 773 | a_0.__setitem__(sl,a_1) |
| 774 | a1_0.__setitem__(sl,a1_1) |
| 775 | if Lsup(a_0-a1_0)==0.: |
| 776 | text+=mkText("constData","ref",a_0,a1_0) |
| 777 | else: |
| 778 | text+=mkText("expandedData","ref",a_0,a1_0) |
| 779 | text+=" self.failUnless(Lsup(arg-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n" |
| 780 | |
| 781 | if case0 == "taggedData" or case1 == "taggedData": |
| 782 | t_prog_with_tags+=text |
| 783 | else: |
| 784 | t_prog+=text |
| 785 | |
| 786 | print test_header |
| 787 | # print t_prog |
| 788 | print t_prog_with_tags |
| 789 | print test_tail |
| 790 | 1/0 |
| 791 | |
| 792 | #======================================================================================================= |
| 793 | # (non)symmetric part |
| 794 | #======================================================================================================= |
| 795 | from esys.escript import * |
| 796 | for name in ["symmetric", "nonsymmetric"]: |
| 797 | f=1. |
| 798 | if name=="nonsymmetric": f=-1 |
| 799 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
| 800 | for sh0 in [ (3,3), (2,3,2,3)]: |
| 801 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 802 | tname="test_%s_%s_rank%s"%(name,case0,len(sh0)) |
| 803 | text+=" def %s(self):\n"%tname |
| 804 | a_0=makeNumberedArray(sh0,s=1.) |
| 805 | r_0=(a_0+f*transpose(a_0))/2. |
| 806 | if case0 in ["taggedData", "expandedData"]: |
| 807 | a1_0=makeNumberedArray(sh0,s=-1.) |
| 808 | r1_0=(a1_0+f*transpose(a1_0))/2. |
| 809 | else: |
| 810 | a1_0=a_0 |
| 811 | r1_0=r_0 |
| 812 | text+=mkText(case0,"arg",a_0,a1_0) |
| 813 | text+=" res=%s(arg)\n"%name |
| 814 | if case0=="Symbol": |
| 815 | text+=mkText("array","s",a_0,a1_0) |
| 816 | text+=" sub=res.substitute({arg:s})\n" |
| 817 | res="sub" |
| 818 | text+=mkText("array","ref",r_0,r1_0) |
| 819 | else: |
| 820 | res="res" |
| 821 | text+=mkText(case0,"ref",r_0,r1_0) |
| 822 | text+=mkTypeAndShapeTest(case0,sh0,"res") |
| 823 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 824 | |
| 825 | if case0 == "taggedData" : |
| 826 | t_prog_with_tags+=text |
| 827 | else: |
| 828 | t_prog+=text |
| 829 | print test_header |
| 830 | print t_prog |
| 831 | # print t_prog_with_tags |
| 832 | print test_tail |
| 833 | 1/0 |
| 834 | |
| 835 | #======================================================================================================= |
| 836 | # eigenvalues |
| 837 | #======================================================================================================= |
| 838 | import numarray.linear_algebra |
| 839 | name="eigenvalues" |
| 840 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
| 841 | for sh0 in [ (1,1), (2,2), (3,3)]: |
| 842 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 843 | tname="test_%s_%s_dim%s"%(name,case0,sh0[0]) |
| 844 | text+=" def %s(self):\n"%tname |
| 845 | a_0=makeArray(sh0,[-1.,1]) |
| 846 | a_0=(a_0+numarray.transpose(a_0))/2. |
| 847 | ev=numarray.linear_algebra.eigenvalues(a_0) |
| 848 | ev.sort() |
| 849 | if case0 in ["taggedData", "expandedData"]: |
| 850 | a1_0=makeArray(sh0,[-1.,1]) |
| 851 | a1_0=(a1_0+numarray.transpose(a1_0))/2. |
| 852 | ev1=numarray.linear_algebra.eigenvalues(a1_0) |
| 853 | ev1.sort() |
| 854 | else: |
| 855 | a1_0=a_0 |
| 856 | ev1=ev |
| 857 | text+=mkText(case0,"arg",a_0,a1_0) |
| 858 | text+=" res=%s(arg)\n"%name |
| 859 | if case0=="Symbol": |
| 860 | text+=mkText("array","s",a_0,a1_0) |
| 861 | text+=" sub=res.substitute({arg:s})\n" |
| 862 | res="sub" |
| 863 | text+=mkText("array","ref",ev,ev1) |
| 864 | else: |
| 865 | res="res" |
| 866 | text+=mkText(case0,"ref",ev,ev1) |
| 867 | text+=mkTypeAndShapeTest(case0,(sh0[0],),"res") |
| 868 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 869 | |
| 870 | if case0 == "taggedData" : |
| 871 | t_prog_with_tags+=text |
| 872 | else: |
| 873 | t_prog+=text |
| 874 | print test_header |
| 875 | # print t_prog |
| 876 | print t_prog_with_tags |
| 877 | print test_tail |
| 878 | 1/0 |
| 879 | |
| 880 | #======================================================================================================= |
| 881 | # get slices |
| 882 | #======================================================================================================= |
| 883 | for case0 in ["constData","taggedData","expandedData","Symbol"]: |
| 884 | for sh0 in [ (3,), (3,4), (3,4,3) ,(4,3,5,3)]: |
| 885 | # get perm: |
| 886 | if len(sh0)==2: |
| 887 | check=[[1,0]] |
| 888 | elif len(sh0)==3: |
| 889 | check=[[1,0,2], |
| 890 | [1,2,0], |
| 891 | [2,1,0], |
| 892 | [2,0,2], |
| 893 | [0,2,1]] |
| 894 | elif len(sh0)==4: |
| 895 | check=[[0,1,3,2], |
| 896 | [0,2,1,3], |
| 897 | [0,2,3,1], |
| 898 | [0,3,2,1], |
| 899 | [0,3,1,2] , |
| 900 | [1,0,2,3], |
| 901 | [1,0,3,2], |
| 902 | [1,2,0,3], |
| 903 | [1,2,3,0], |
| 904 | [1,3,2,0], |
| 905 | [1,3,0,2], |
| 906 | [2,0,1,3], |
| 907 | [2,0,3,1], |
| 908 | [2,1,0,3], |
| 909 | [2,1,3,0], |
| 910 | [2,3,1,0], |
| 911 | [2,3,0,1], |
| 912 | [3,0,1,2], |
| 913 | [3,0,2,1], |
| 914 | [3,1,0,2], |
| 915 | [3,1,2,0], |
| 916 | [3,2,1,0], |
| 917 | [3,2,0,1]] |
| 918 | else: |
| 919 | check=[] |
| 920 | |
| 921 | # create the test cases: |
| 922 | processed=[] |
| 923 | l=["R","U","L","P","C","N"] |
| 924 | c=[""] |
| 925 | for i in range(len(sh0)): |
| 926 | tmp=[] |
| 927 | for ci in c: |
| 928 | tmp+=[ci+li for li in l] |
| 929 | c=tmp |
| 930 | # SHUFFLE |
| 931 | c2=[] |
| 932 | while len(c)>0: |
| 933 | i=int(random.random()*len(c)) |
| 934 | c2.append(c[i]) |
| 935 | del c[i] |
| 936 | c=c2 |
| 937 | for ci in c: |
| 938 | t="" |
| 939 | sh=() |
| 940 | for i in range(len(ci)): |
| 941 | if ci[i]=="R": |
| 942 | s="%s:%s"%(1,sh0[i]-1) |
| 943 | sh=sh+(sh0[i]-2,) |
| 944 | if ci[i]=="U": |
| 945 | s=":%s"%(sh0[i]-1) |
| 946 | sh=sh+(sh0[i]-1,) |
| 947 | if ci[i]=="L": |
| 948 | s="2:" |
| 949 | sh=sh+(sh0[i]-2,) |
| 950 | if ci[i]=="P": |
| 951 | s="%s"%(int(sh0[i]/2)) |
| 952 | if ci[i]=="C": |
| 953 | s=":" |
| 954 | sh=sh+(sh0[i],) |
| 955 | if ci[i]=="N": |
| 956 | s="" |
| 957 | sh=sh+(sh0[i],) |
| 958 | if len(s)>0: |
| 959 | if not t=="": t+="," |
| 960 | t+=s |
| 961 | N_found=False |
| 962 | noN_found=False |
| 963 | process=len(t)>0 |
| 964 | for i in ci: |
| 965 | if i=="N": |
| 966 | if not noN_found and N_found: process=False |
| 967 | N_found=True |
| 968 | else: |
| 969 | if N_found: process=False |
| 970 | noNfound=True |
| 971 | # is there a similar one processed allready |
| 972 | if process and ci.find("N")==-1: |
| 973 | for ci2 in processed: |
| 974 | for chi in check: |
| 975 | is_perm=True |
| 976 | for i in range(len(chi)): |
| 977 | if not ci[i]==ci2[chi[i]]: is_perm=False |
| 978 | if is_perm: process=False |
| 979 | # if not process: print ci," rejected" |
| 980 | if process: |
| 981 | processed.append(ci) |
| 982 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 983 | tname="test_getslice_%s_rank%s_%s"%(case0,len(sh0),ci) |
| 984 | text+=" def %s(self):\n"%tname |
| 985 | a_0=makeNumberedArray(sh0,s=1) |
| 986 | if case0 in ["taggedData", "expandedData"]: |
| 987 | a1_0=makeNumberedArray(sh0,s=-1.) |
| 988 | else: |
| 989 | a1_0=a_0 |
| 990 | r=eval("a_0[%s]"%t) |
| 991 | r1=eval("a1_0[%s]"%t) |
| 992 | text+=mkText(case0,"arg",a_0,a1_0) |
| 993 | text+=" res=arg[%s]\n"%t |
| 994 | if case0=="Symbol": |
| 995 | text+=mkText("array","s",a_0,a1_0) |
| 996 | text+=" sub=res.substitute({arg:s})\n" |
| 997 | res="sub" |
| 998 | text+=mkText("array","ref",r,r1) |
| 999 | else: |
| 1000 | res="res" |
| 1001 | text+=mkText(case0,"ref",r,r1) |
| 1002 | text+=mkTypeAndShapeTest(case0,sh,"res") |
| 1003 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1004 | |
| 1005 | if case0 == "taggedData" : |
| 1006 | t_prog_with_tags+=text |
| 1007 | else: |
| 1008 | t_prog+=text |
| 1009 | |
| 1010 | print test_header |
| 1011 | # print t_prog |
| 1012 | print t_prog_with_tags |
| 1013 | print test_tail |
| 1014 | 1/0 |
| 1015 | #============================================================================================ |
| 1016 | def innerTEST(arg0,arg1): |
| 1017 | if isinstance(arg0,float): |
| 1018 | out=numarray.array(arg0*arg1) |
| 1019 | else: |
| 1020 | out=(arg0*arg1).sum() |
| 1021 | return out |
| 1022 | |
| 1023 | def outerTEST(arg0,arg1): |
| 1024 | if isinstance(arg0,float): |
| 1025 | out=numarray.array(arg0*arg1) |
| 1026 | elif isinstance(arg1,float): |
| 1027 | out=numarray.array(arg0*arg1) |
| 1028 | else: |
| 1029 | out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape) |
| 1030 | return out |
| 1031 | |
| 1032 | def tensorProductTest(arg0,arg1,sh_s): |
| 1033 | if isinstance(arg0,float): |
| 1034 | out=numarray.array(arg0*arg1) |
| 1035 | elif isinstance(arg1,float): |
| 1036 | out=numarray.array(arg0*arg1) |
| 1037 | elif len(sh_s)==0: |
| 1038 | out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape) |
| 1039 | else: |
| 1040 | l=len(sh_s) |
| 1041 | sh0=arg0.shape[:arg0.rank-l] |
| 1042 | sh1=arg1.shape[l:] |
| 1043 | ls,l0,l1=1,1,1 |
| 1044 | for i in sh_s: ls*=i |
| 1045 | for i in sh0: l0*=i |
| 1046 | for i in sh1: l1*=i |
| 1047 | out1=numarray.outerproduct(arg0,arg1).resize((l0,ls,ls,l1)) |
| 1048 | out2=numarray.zeros((l0,l1),numarray.Float) |
| 1049 | for i0 in range(l0): |
| 1050 | for i1 in range(l1): |
| 1051 | for i in range(ls): out2[i0,i1]+=out1[i0,i,i,i1] |
| 1052 | out=out2.resize(sh0+sh1) |
| 1053 | return out |
| 1054 | |
| 1055 | def testMatrixMult(arg0,arg1,sh_s): |
| 1056 | return numarray.matrixmultiply(arg0,arg1) |
| 1057 | |
| 1058 | |
| 1059 | def testTensorMult(arg0,arg1,sh_s): |
| 1060 | if len(arg0)==2: |
| 1061 | return numarray.matrixmultiply(arg0,arg1) |
| 1062 | else: |
| 1063 | if arg1.rank==4: |
| 1064 | out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[2],arg1.shape[3]),numarray.Float) |
| 1065 | for i0 in range(arg0.shape[0]): |
| 1066 | for i1 in range(arg0.shape[1]): |
| 1067 | for i2 in range(arg0.shape[2]): |
| 1068 | for i3 in range(arg0.shape[3]): |
| 1069 | for j2 in range(arg1.shape[2]): |
| 1070 | for j3 in range(arg1.shape[3]): |
| 1071 | out[i0,i1,j2,j3]+=arg0[i0,i1,i2,i3]*arg1[i2,i3,j2,j3] |
| 1072 | elif arg1.rank==3: |
| 1073 | out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[2]),numarray.Float) |
| 1074 | for i0 in range(arg0.shape[0]): |
| 1075 | for i1 in range(arg0.shape[1]): |
| 1076 | for i2 in range(arg0.shape[2]): |
| 1077 | for i3 in range(arg0.shape[3]): |
| 1078 | for j2 in range(arg1.shape[2]): |
| 1079 | out[i0,i1,j2]+=arg0[i0,i1,i2,i3]*arg1[i2,i3,j2] |
| 1080 | elif arg1.rank==2: |
| 1081 | out=numarray.zeros((arg0.shape[0],arg0.shape[1]),numarray.Float) |
| 1082 | for i0 in range(arg0.shape[0]): |
| 1083 | for i1 in range(arg0.shape[1]): |
| 1084 | for i2 in range(arg0.shape[2]): |
| 1085 | for i3 in range(arg0.shape[3]): |
| 1086 | out[i0,i1]+=arg0[i0,i1,i2,i3]*arg1[i2,i3] |
| 1087 | return out |
| 1088 | |
| 1089 | def testReduce(arg0,init_val,test_expr,post_expr): |
| 1090 | out=init_val |
| 1091 | if isinstance(arg0,float): |
| 1092 | out=eval(test_expr.replace("%a1%","arg0")) |
| 1093 | elif arg0.rank==0: |
| 1094 | out=eval(test_expr.replace("%a1%","arg0")) |
| 1095 | elif arg0.rank==1: |
| 1096 | for i0 in range(arg0.shape[0]): |
| 1097 | out=eval(test_expr.replace("%a1%","arg0[i0]")) |
| 1098 | elif arg0.rank==2: |
| 1099 | for i0 in range(arg0.shape[0]): |
| 1100 | for i1 in range(arg0.shape[1]): |
| 1101 | out=eval(test_expr.replace("%a1%","arg0[i0,i1]")) |
| 1102 | elif arg0.rank==3: |
| 1103 | for i0 in range(arg0.shape[0]): |
| 1104 | for i1 in range(arg0.shape[1]): |
| 1105 | for i2 in range(arg0.shape[2]): |
| 1106 | out=eval(test_expr.replace("%a1%","arg0[i0,i1,i2]")) |
| 1107 | elif arg0.rank==4: |
| 1108 | for i0 in range(arg0.shape[0]): |
| 1109 | for i1 in range(arg0.shape[1]): |
| 1110 | for i2 in range(arg0.shape[2]): |
| 1111 | for i3 in range(arg0.shape[3]): |
| 1112 | out=eval(test_expr.replace("%a1%","arg0[i0,i1,i2,i3]")) |
| 1113 | return eval(post_expr) |
| 1114 | |
| 1115 | def clipTEST(arg0,mn,mx): |
| 1116 | if isinstance(arg0,float): |
| 1117 | return max(min(arg0,mx),mn) |
| 1118 | out=numarray.zeros(arg0.shape,numarray.Float64) |
| 1119 | if arg0.rank==1: |
| 1120 | for i0 in range(arg0.shape[0]): |
| 1121 | out[i0]=max(min(arg0[i0],mx),mn) |
| 1122 | elif arg0.rank==2: |
| 1123 | for i0 in range(arg0.shape[0]): |
| 1124 | for i1 in range(arg0.shape[1]): |
| 1125 | out[i0,i1]=max(min(arg0[i0,i1],mx),mn) |
| 1126 | elif arg0.rank==3: |
| 1127 | for i0 in range(arg0.shape[0]): |
| 1128 | for i1 in range(arg0.shape[1]): |
| 1129 | for i2 in range(arg0.shape[2]): |
| 1130 | out[i0,i1,i2]=max(min(arg0[i0,i1,i2],mx),mn) |
| 1131 | elif arg0.rank==4: |
| 1132 | for i0 in range(arg0.shape[0]): |
| 1133 | for i1 in range(arg0.shape[1]): |
| 1134 | for i2 in range(arg0.shape[2]): |
| 1135 | for i3 in range(arg0.shape[3]): |
| 1136 | out[i0,i1,i2,i3]=max(min(arg0[i0,i1,i2,i3],mx),mn) |
| 1137 | return out |
| 1138 | def minimumTEST(arg0,arg1): |
| 1139 | if isinstance(arg0,float): |
| 1140 | if isinstance(arg1,float): |
| 1141 | if arg0>arg1: |
| 1142 | return arg1 |
| 1143 | else: |
| 1144 | return arg0 |
| 1145 | else: |
| 1146 | arg0=numarray.ones(arg1.shape)*arg0 |
| 1147 | else: |
| 1148 | if isinstance(arg1,float): |
| 1149 | arg1=numarray.ones(arg0.shape)*arg1 |
| 1150 | out=numarray.zeros(arg0.shape,numarray.Float64) |
| 1151 | if arg0.rank==0: |
| 1152 | if arg0>arg1: |
| 1153 | out=arg1 |
| 1154 | else: |
| 1155 | out=arg0 |
| 1156 | elif arg0.rank==1: |
| 1157 | for i0 in range(arg0.shape[0]): |
| 1158 | if arg0[i0]>arg1[i0]: |
| 1159 | out[i0]=arg1[i0] |
| 1160 | else: |
| 1161 | out[i0]=arg0[i0] |
| 1162 | elif arg0.rank==2: |
| 1163 | for i0 in range(arg0.shape[0]): |
| 1164 | for i1 in range(arg0.shape[1]): |
| 1165 | if arg0[i0,i1]>arg1[i0,i1]: |
| 1166 | out[i0,i1]=arg1[i0,i1] |
| 1167 | else: |
| 1168 | out[i0,i1]=arg0[i0,i1] |
| 1169 | elif arg0.rank==3: |
| 1170 | for i0 in range(arg0.shape[0]): |
| 1171 | for i1 in range(arg0.shape[1]): |
| 1172 | for i2 in range(arg0.shape[2]): |
| 1173 | if arg0[i0,i1,i2]>arg1[i0,i1,i2]: |
| 1174 | out[i0,i1,i2]=arg1[i0,i1,i2] |
| 1175 | else: |
| 1176 | out[i0,i1,i2]=arg0[i0,i1,i2] |
| 1177 | elif arg0.rank==4: |
| 1178 | for i0 in range(arg0.shape[0]): |
| 1179 | for i1 in range(arg0.shape[1]): |
| 1180 | for i2 in range(arg0.shape[2]): |
| 1181 | for i3 in range(arg0.shape[3]): |
| 1182 | if arg0[i0,i1,i2,i3]>arg1[i0,i1,i2,i3]: |
| 1183 | out[i0,i1,i2,i3]=arg1[i0,i1,i2,i3] |
| 1184 | else: |
| 1185 | out[i0,i1,i2,i3]=arg0[i0,i1,i2,i3] |
| 1186 | return out |
| 1187 | |
| 1188 | def unrollLoops(a,b,o,arg,tap="",x="x"): |
| 1189 | out="" |
| 1190 | if a.rank==1: |
| 1191 | z="" |
| 1192 | for i99 in range(a.shape[0]): |
| 1193 | if not z=="": z+="+" |
| 1194 | if o=="1": |
| 1195 | z+="(%s)*%s[%s]"%(a[i99]+b[i99],x,i99) |
| 1196 | else: |
| 1197 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i99],x,i99,b[i99],x,i99) |
| 1198 | |
| 1199 | out+=tap+"%s=%s\n"%(arg,z) |
| 1200 | |
| 1201 | elif a.rank==2: |
| 1202 | for i0 in range(a.shape[0]): |
| 1203 | z="" |
| 1204 | for i99 in range(a.shape[1]): |
| 1205 | if not z=="": z+="+" |
| 1206 | if o=="1": |
| 1207 | z+="(%s)*x[%s]"%(a[i0,i99]+b[i0,i99],i99) |
| 1208 | else: |
| 1209 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i99],x,i99,b[i0,i99],x,i99) |
| 1210 | |
| 1211 | out+=tap+"%s[%s]=%s\n"%(arg,i0,z) |
| 1212 | elif a.rank==3: |
| 1213 | for i0 in range(a.shape[0]): |
| 1214 | for i1 in range(a.shape[1]): |
| 1215 | z="" |
| 1216 | for i99 in range(a.shape[2]): |
| 1217 | if not z=="": z+="+" |
| 1218 | if o=="1": |
| 1219 | z+="(%s)*%s[%s]"%(a[i0,i1,i99]+b[i0,i1,i99],x,i99) |
| 1220 | else: |
| 1221 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i99],x,i99,b[i0,i1,i99],x,i99) |
| 1222 | |
| 1223 | out+=tap+"%s[%s,%s]=%s\n"%(arg,i0,i1,z) |
| 1224 | elif a.rank==4: |
| 1225 | for i0 in range(a.shape[0]): |
| 1226 | for i1 in range(a.shape[1]): |
| 1227 | for i2 in range(a.shape[2]): |
| 1228 | z="" |
| 1229 | for i99 in range(a.shape[3]): |
| 1230 | if not z=="": z+="+" |
| 1231 | if o=="1": |
| 1232 | z+="(%s)*%s[%s]"%(a[i0,i1,i2,i99]+b[i0,i1,i2,i99],x,i99) |
| 1233 | else: |
| 1234 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i2,i99],x,i99,b[i0,i1,i2,i99],x,i99) |
| 1235 | |
| 1236 | out+=tap+"%s[%s,%s,%s]=%s\n"%(arg,i0,i1,i2,z) |
| 1237 | elif a.rank==5: |
| 1238 | for i0 in range(a.shape[0]): |
| 1239 | for i1 in range(a.shape[1]): |
| 1240 | for i2 in range(a.shape[2]): |
| 1241 | for i3 in range(a.shape[3]): |
| 1242 | z="" |
| 1243 | for i99 in range(a.shape[4]): |
| 1244 | if not z=="": z+="+" |
| 1245 | if o=="1": |
| 1246 | z+="(%s)*%s[%s]"%(a[i0,i1,i2,i3,i99]+b[i0,i1,i2,i3,i99],x,i99) |
| 1247 | else: |
| 1248 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i2,i3,i99],x,i99,b[i0,i1,i2,i3,i99],x,i99) |
| 1249 | |
| 1250 | out+=tap+"%s[%s,%s,%s,%s]=%s\n"%(arg,i0,i1,i2,i3,z) |
| 1251 | return out |
| 1252 | |
| 1253 | def unrollLoopsOfGrad(a,b,o,arg,tap=""): |
| 1254 | out="" |
| 1255 | if a.rank==1: |
| 1256 | for i99 in range(a.shape[0]): |
| 1257 | if o=="1": |
| 1258 | out+=tap+"%s[%s]=(%s)\n"%(arg,i99,a[i99]+b[i99]) |
| 1259 | else: |
| 1260 | out+=tap+"%s[%s]=o*(%s)*x_ref[%s]**(o-1)+(%s)\n"%(arg,i99,a[i99],i99,b[i99]) |
| 1261 | |
| 1262 | elif a.rank==2: |
| 1263 | for i0 in range(a.shape[0]): |
| 1264 | for i99 in range(a.shape[1]): |
| 1265 | if o=="1": |
| 1266 | out+=tap+"%s[%s,%s]=(%s)\n"%(arg,i0,i99,a[i0,i99]+b[i0,i99]) |
| 1267 | else: |
| 1268 | out+=tap+"%s[%s,%s]=o*(%s)*x_ref[%s]**(o-1)+(%s)\n"%(arg,i0,i99,a[i0,i99],i99,b[i0,i99]) |
| 1269 | |
| 1270 | elif a.rank==3: |
| 1271 | for i0 in range(a.shape[0]): |
| 1272 | for i1 in range(a.shape[1]): |
| 1273 | for i99 in range(a.shape[2]): |
| 1274 | if o=="1": |
| 1275 | out+=tap+"%s[%s,%s,%s]=(%s)\n"%(arg,i0,i1,i99,a[i0,i1,i99]+b[i0,i1,i99]) |
| 1276 | else: |
| 1277 | out+=tap+"%s[%s,%s,%s]=o*(%s)*x_ref[%s]**(o-1)+(%s)\n"%(arg,i0,i1,i99,a[i0,i1,i99],i99,b[i0,i1,i99]) |
| 1278 | |
| 1279 | elif a.rank==4: |
| 1280 | for i0 in range(a.shape[0]): |
| 1281 | for i1 in range(a.shape[1]): |
| 1282 | for i2 in range(a.shape[2]): |
| 1283 | for i99 in range(a.shape[3]): |
| 1284 | if o=="1": |
| 1285 | out+=tap+"%s[%s,%s,%s,%s]=(%s)\n"%(arg,i0,i1,i2,i99,a[i0,i1,i2,i99]+b[i0,i1,i2,i99]) |
| 1286 | else: |
| 1287 | out+=tap+"%s[%s,%s,%s,%s]=o*(%s)*x_ref[%s]**(o-1)+(%s)\n"%(arg,i0,i1,i2,i99,a[i0,i1,i2,i99],i99,b[i0,i1,i2,i99]) |
| 1288 | return out |
| 1289 | def unrollLoopsOfDiv(a,b,o,arg,tap=""): |
| 1290 | out=tap+arg+"=" |
| 1291 | if o=="1": |
| 1292 | z=0. |
| 1293 | for i99 in range(a.shape[0]): |
| 1294 | z+=b[i99,i99]+a[i99,i99] |
| 1295 | out+="(%s)"%z |
| 1296 | else: |
| 1297 | z=0. |
| 1298 | for i99 in range(a.shape[0]): |
| 1299 | z+=b[i99,i99] |
| 1300 | if i99>0: out+="+" |
| 1301 | out+="o*(%s)*x_ref[%s]**(o-1)"%(a[i99,i99],i99) |
| 1302 | out+="+(%s)"%z |
| 1303 | return out |
| 1304 | |
| 1305 | def unrollLoopsOfInteriorIntegral(a,b,where,arg,tap=""): |
| 1306 | if where=="Function": |
| 1307 | xfac_o=1. |
| 1308 | xfac_op=0. |
| 1309 | z_fac=1./2. |
| 1310 | z_fac_s="" |
| 1311 | zo_fac_s="/(o+1.)" |
| 1312 | elif where=="FunctionOnBoundary": |
| 1313 | xfac_o=1. |
| 1314 | xfac_op=0. |
| 1315 | z_fac=1. |
| 1316 | z_fac_s="*dim" |
| 1317 | zo_fac_s="*(1+2.*(dim-1.)/(o+1.))" |
| 1318 | elif where in ["FunctionOnContactZero","FunctionOnContactOne"]: |
| 1319 | xfac_o=0. |
| 1320 | xfac_op=1. |
| 1321 | z_fac=1./2. |
| 1322 | z_fac_s="" |
| 1323 | zo_fac_s="/(o+1.)" |
| 1324 | out="" |
| 1325 | if a.rank==1: |
| 1326 | zo=0. |
| 1327 | zop=0. |
| 1328 | z=0. |
| 1329 | for i99 in range(a.shape[0]): |
| 1330 | if i99==0: |
| 1331 | zo+= xfac_o*a[i99] |
| 1332 | zop+= xfac_op*a[i99] |
| 1333 | else: |
| 1334 | zo+=a[i99] |
| 1335 | z+=b[i99] |
| 1336 | |
| 1337 | out+=tap+"%s=(%s)%s+(%s)%s"%(arg,zo,zo_fac_s,z*z_fac,z_fac_s) |
| 1338 | if zop==0.: |
| 1339 | out+="\n" |
| 1340 | else: |
| 1341 | out+="+(%s)*0.5**o\n"%zop |
| 1342 | elif a.rank==2: |
| 1343 | for i0 in range(a.shape[0]): |
| 1344 | zo=0. |
| 1345 | zop=0. |
| 1346 | z=0. |
| 1347 | for i99 in range(a.shape[1]): |
| 1348 | if i99==0: |
| 1349 | zo+= xfac_o*a[i0,i99] |
| 1350 | zop+= xfac_op*a[i0,i99] |
| 1351 | else: |
| 1352 | zo+=a[i0,i99] |
| 1353 | z+=b[i0,i99] |
| 1354 | |
| 1355 | out+=tap+"%s[%s]=(%s)%s+(%s)%s"%(arg,i0,zo,zo_fac_s,z*z_fac,z_fac_s) |
| 1356 | if zop==0.: |
| 1357 | out+="\n" |
| 1358 | else: |
| 1359 | out+="+(%s)*0.5**o\n"%zop |
| 1360 | elif a.rank==3: |
| 1361 | for i0 in range(a.shape[0]): |
| 1362 | for i1 in range(a.shape[1]): |
| 1363 | zo=0. |
| 1364 | zop=0. |
| 1365 | z=0. |
| 1366 | for i99 in range(a.shape[2]): |
| 1367 | if i99==0: |
| 1368 | zo+= xfac_o*a[i0,i1,i99] |
| 1369 | zop+= xfac_op*a[i0,i1,i99] |
| 1370 | else: |
| 1371 | zo+=a[i0,i1,i99] |
| 1372 | z+=b[i0,i1,i99] |
| 1373 | |
| 1374 | out+=tap+"%s[%s,%s]=(%s)%s+(%s)%s"%(arg,i0,i1,zo,zo_fac_s,z*z_fac,z_fac_s) |
| 1375 | if zop==0.: |
| 1376 | out+="\n" |
| 1377 | else: |
| 1378 | out+="+(%s)*0.5**o\n"%zop |
| 1379 | elif a.rank==4: |
| 1380 | for i0 in range(a.shape[0]): |
| 1381 | for i1 in range(a.shape[1]): |
| 1382 | for i2 in range(a.shape[2]): |
| 1383 | zo=0. |
| 1384 | zop=0. |
| 1385 | z=0. |
| 1386 | for i99 in range(a.shape[3]): |
| 1387 | if i99==0: |
| 1388 | zo+= xfac_o*a[i0,i1,i2,i99] |
| 1389 | zop+= xfac_op*a[i0,i1,i2,i99] |
| 1390 | |
| 1391 | else: |
| 1392 | zo+=a[i0,i1,i2,i99] |
| 1393 | z+=b[i0,i1,i2,i99] |
| 1394 | |
| 1395 | out+=tap+"%s[%s,%s,%s]=(%s)%s+(%s)%s"%(arg,i0,i1,i2,zo,zo_fac_s,z*z_fac,z_fac_s) |
| 1396 | if zop==0.: |
| 1397 | out+="\n" |
| 1398 | else: |
| 1399 | out+="+(%s)*0.5**o\n"%zop |
| 1400 | |
| 1401 | elif a.rank==5: |
| 1402 | for i0 in range(a.shape[0]): |
| 1403 | for i1 in range(a.shape[1]): |
| 1404 | for i2 in range(a.shape[2]): |
| 1405 | for i3 in range(a.shape[3]): |
| 1406 | zo=0. |
| 1407 | zop=0. |
| 1408 | z=0. |
| 1409 | for i99 in range(a.shape[4]): |
| 1410 | if i99==0: |
| 1411 | zo+= xfac_o*a[i0,i1,i2,i3,i99] |
| 1412 | zop+= xfac_op*a[i0,i1,i2,i3,i99] |
| 1413 | |
| 1414 | else: |
| 1415 | zo+=a[i0,i1,i2,i3,i99] |
| 1416 | z+=b[i0,i1,i2,i3,i99] |
| 1417 | out+=tap+"%s[%s,%s,%s,%s]=(%s)%s+(%s)%s"%(arg,i0,i1,i2,i3,zo,zo_fac_s,z*z_fac,z_fac_s) |
| 1418 | if zop==0.: |
| 1419 | out+="\n" |
| 1420 | else: |
| 1421 | out+="+(%s)*0.5**o\n"%zop |
| 1422 | |
| 1423 | return out |
| 1424 | def unrollLoopsSimplified(b,arg,tap=""): |
| 1425 | out="" |
| 1426 | if isinstance(b,float) or b.rank==0: |
| 1427 | out+=tap+"%s=(%s)*x[0]\n"%(arg,str(b)) |
| 1428 | |
| 1429 | elif b.rank==1: |
| 1430 | for i0 in range(b.shape[0]): |
| 1431 | out+=tap+"%s[%s]=(%s)*x[%s]\n"%(arg,i0,b[i0],i0) |
| 1432 | elif b.rank==2: |
| 1433 | for i0 in range(b.shape[0]): |
| 1434 | for i1 in range(b.shape[1]): |
| 1435 | out+=tap+"%s[%s,%s]=(%s)*x[%s]\n"%(arg,i0,i1,b[i0,i1],i1) |
| 1436 | elif b.rank==3: |
| 1437 | for i0 in range(b.shape[0]): |
| 1438 | for i1 in range(b.shape[1]): |
| 1439 | for i2 in range(b.shape[2]): |
| 1440 | out+=tap+"%s[%s,%s,%s]=(%s)*x[%s]\n"%(arg,i0,i1,i2,b[i0,i1,i2],i2) |
| 1441 | elif b.rank==4: |
| 1442 | for i0 in range(b.shape[0]): |
| 1443 | for i1 in range(b.shape[1]): |
| 1444 | for i2 in range(b.shape[2]): |
| 1445 | for i3 in range(b.shape[3]): |
| 1446 | out+=tap+"%s[%s,%s,%s,%s]=(%s)*x[%s]\n"%(arg,i0,i1,i2,i3,b[i0,i1,i2,i3],i3) |
| 1447 | return out |
| 1448 | |
| 1449 | def unrollLoopsOfL2(b,where,arg,tap=""): |
| 1450 | out="" |
| 1451 | z=[] |
| 1452 | if isinstance(b,float) or b.rank==0: |
| 1453 | z.append(b**2) |
| 1454 | elif b.rank==1: |
| 1455 | for i0 in range(b.shape[0]): |
| 1456 | z.append(b[i0]**2) |
| 1457 | elif b.rank==2: |
| 1458 | for i1 in range(b.shape[1]): |
| 1459 | s=0 |
| 1460 | for i0 in range(b.shape[0]): |
| 1461 | s+=b[i0,i1]**2 |
| 1462 | z.append(s) |
| 1463 | elif b.rank==3: |
| 1464 | for i2 in range(b.shape[2]): |
| 1465 | s=0 |
| 1466 | for i0 in range(b.shape[0]): |
| 1467 | for i1 in range(b.shape[1]): |
| 1468 | s+=b[i0,i1,i2]**2 |
| 1469 | z.append(s) |
| 1470 | |
| 1471 | elif b.rank==4: |
| 1472 | for i3 in range(b.shape[3]): |
| 1473 | s=0 |
| 1474 | for i0 in range(b.shape[0]): |
| 1475 | for i1 in range(b.shape[1]): |
| 1476 | for i2 in range(b.shape[2]): |
| 1477 | s+=b[i0,i1,i2,i3]**2 |
| 1478 | z.append(s) |
| 1479 | if where=="Function": |
| 1480 | xfac_o=1. |
| 1481 | xfac_op=0. |
| 1482 | z_fac_s="" |
| 1483 | zo_fac_s="" |
| 1484 | zo_fac=1./3. |
| 1485 | elif where=="FunctionOnBoundary": |
| 1486 | xfac_o=1. |
| 1487 | xfac_op=0. |
| 1488 | z_fac_s="*dim" |
| 1489 | zo_fac_s="*(2.*dim+1.)/3." |
| 1490 | zo_fac=1. |
| 1491 | elif where in ["FunctionOnContactZero","FunctionOnContactOne"]: |
| 1492 | xfac_o=0. |
| 1493 | xfac_op=1. |
| 1494 | z_fac_s="" |
| 1495 | zo_fac_s="" |
| 1496 | zo_fac=1./3. |
| 1497 | zo=0. |
| 1498 | zop=0. |
| 1499 | for i99 in range(len(z)): |
| 1500 | if i99==0: |
| 1501 | zo+=xfac_o*z[i99] |
| 1502 | zop+=xfac_op*z[i99] |
| 1503 | else: |
| 1504 | zo+=z[i99] |
| 1505 | out+=tap+"%s=sqrt((%s)%s"%(arg,zo*zo_fac,zo_fac_s) |
| 1506 | if zop==0.: |
| 1507 | out+=")\n" |
| 1508 | else: |
| 1509 | out+="+(%s))\n"%(zop*0.5**2) |
| 1510 | return out |
| 1511 | #======================================================================================================= |
| 1512 | # transpose |
| 1513 | #======================================================================================================= |
| 1514 | def transposeTest(r,offset): |
| 1515 | if isinstance(r,float): return r |
| 1516 | s=r.shape |
| 1517 | s1=1 |
| 1518 | for i in s[:offset]: s1*=i |
| 1519 | s2=1 |
| 1520 | for i in s[offset:]: s2*=i |
| 1521 | out=numarray.reshape(r,(s1,s2)) |
| 1522 | out.transpose() |
| 1523 | return numarray.resize(out,s[offset:]+s[:offset]) |
| 1524 | |
| 1525 | name,tt="transpose",transposeTest |
| 1526 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
| 1527 | for sh0 in [ (), (3,), (4,5), (6,2,2),(3,2,3,4)]: |
| 1528 | for offset in range(len(sh0)+1): |
| 1529 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1530 | tname="test_%s_%s_rank%s_offset%s"%(name,case0,len(sh0),offset) |
| 1531 | text+=" def %s(self):\n"%tname |
| 1532 | sh_t=sh0[offset:]+sh0[:offset] |
| 1533 | |
| 1534 | # sh_t=list(sh0) |
| 1535 | # sh_t[offset+1]=sh_t[offset] |
| 1536 | # sh_t=tuple(sh_t) |
| 1537 | # sh_r=[] |
| 1538 | # for i in range(offset): sh_r.append(sh0[i]) |
| 1539 | # for i in range(offset+2,len(sh0)): sh_r.append(sh0[i]) |
| 1540 | # sh_r=tuple(sh_r) |
| 1541 | |
| 1542 | a_0=makeArray(sh0,[-1.,1]) |
| 1543 | if case0 in ["taggedData", "expandedData"]: |
| 1544 | a1_0=makeArray(sh0,[-1.,1]) |
| 1545 | else: |
| 1546 | a1_0=a_0 |
| 1547 | r=tt(a_0,offset) |
| 1548 | r1=tt(a1_0,offset) |
| 1549 | text+=mkText(case0,"arg",a_0,a1_0) |
| 1550 | text+=" res=%s(arg,%s)\n"%(name,offset) |
| 1551 | if case0=="Symbol": |
| 1552 | text+=mkText("array","s",a_0,a1_0) |
| 1553 | text+=" sub=res.substitute({arg:s})\n" |
| 1554 | res="sub" |
| 1555 | text+=mkText("array","ref",r,r1) |
| 1556 | else: |
| 1557 | res="res" |
| 1558 | text+=mkText(case0,"ref",r,r1) |
| 1559 | text+=mkTypeAndShapeTest(case0,sh_t,"res") |
| 1560 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1561 | |
| 1562 | if case0 == "taggedData" : |
| 1563 | t_prog_with_tags+=text |
| 1564 | else: |
| 1565 | t_prog+=text |
| 1566 | |
| 1567 | print test_header |
| 1568 | # print t_prog |
| 1569 | print t_prog_with_tags |
| 1570 | print test_tail |
| 1571 | 1/0 |
| 1572 | #======================================================================================================= |
| 1573 | # L2 |
| 1574 | #======================================================================================================= |
| 1575 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 1576 | for data in ["Data","Symbol"]: |
| 1577 | for sh in [ (),(2,), (4,5), (6,2,2),(4,5,3,2)]: |
| 1578 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1579 | tname="test_L2_on%s_from%s_rank%s"%(where,data,len(sh)) |
| 1580 | text+=" def %s(self):\n"%tname |
| 1581 | text+=" \"\"\"\n" |
| 1582 | text+=" tests L2-norm of %s on the %s\n\n"%(data,where) |
| 1583 | text+=" assumptions: self.domain supports integration on %s\n"%where |
| 1584 | text+=" \"\"\"\n" |
| 1585 | text+=" dim=self.domain.getDim()\n" |
| 1586 | text+=" w=%s(self.domain)\n"%where |
| 1587 | text+=" x=w.getX()\n" |
| 1588 | o="1" |
| 1589 | if len(sh)>0: |
| 1590 | sh_2=sh[:len(sh)-1]+(2,) |
| 1591 | sh_3=sh[:len(sh)-1]+(3,) |
| 1592 | b_2=makeArray(sh[:len(sh)-1]+(2,),[-1.,1]) |
| 1593 | b_3=makeArray(sh[:len(sh)-1]+(3,),[-1.,1]) |
| 1594 | else: |
| 1595 | sh_2=() |
| 1596 | sh_3=() |
| 1597 | b_2=makeArray(sh,[-1.,1]) |
| 1598 | b_3=makeArray(sh,[-1.,1]) |
| 1599 | |
| 1600 | if data=="Symbol": |
| 1601 | val="s" |
| 1602 | res="sub" |
| 1603 | else: |
| 1604 | val="arg" |
| 1605 | res="res" |
| 1606 | text+=" if dim==2:\n" |
| 1607 | if data=="Symbol": |
| 1608 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh_2) |
| 1609 | |
| 1610 | text+=" %s=Data(0,%s,w)\n"%(val,sh_2) |
| 1611 | text+=unrollLoopsSimplified(b_2,val,tap=" ") |
| 1612 | text+=unrollLoopsOfL2(b_2,where,"ref",tap=" ") |
| 1613 | text+="\n else:\n" |
| 1614 | if data=="Symbol": |
| 1615 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh_3) |
| 1616 | text+=" %s=Data(0,%s,w)\n"%(val,sh_3) |
| 1617 | text+=unrollLoopsSimplified(b_3,val,tap=" ") |
| 1618 | text+=unrollLoopsOfL2(b_3,where,"ref",tap=" ") |
| 1619 | text+="\n res=L2(arg)\n" |
| 1620 | if data=="Symbol": |
| 1621 | text+=" sub=res.substitute({arg:s})\n" |
| 1622 | text+=" self.failUnless(isinstance(res,Symbol),\"wrong type of result.\")\n" |
| 1623 | text+=" self.failUnlessEqual(res.getShape(),(),\"wrong shape of result.\")\n" |
| 1624 | else: |
| 1625 | text+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n" |
| 1626 | text+=" self.failUnlessAlmostEqual(%s,ref,int(-log10(self.RES_TOL)),\"wrong result\")\n"%res |
| 1627 | t_prog+=text |
| 1628 | print t_prog |
| 1629 | 1/0 |
| 1630 | |
| 1631 | #======================================================================================================= |
| 1632 | # div |
| 1633 | #======================================================================================================= |
| 1634 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 1635 | for data in ["Data","Symbol"]: |
| 1636 | for case in ["ContinuousFunction","Solution","ReducedSolution"]: |
| 1637 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1638 | tname="test_div_on%s_from%s_%s"%(where,data,case) |
| 1639 | text+=" def %s(self):\n"%tname |
| 1640 | text+=" \"\"\"\n" |
| 1641 | text+=" tests divergence of %s on the %s\n\n"%(data,where) |
| 1642 | text+=" assumptions: %s(self.domain) exists\n"%case |
| 1643 | text+=" self.domain supports div on %s\n"%where |
| 1644 | text+=" \"\"\"\n" |
| 1645 | if case=="ReducedSolution": |
| 1646 | text+=" o=1\n" |
| 1647 | o="1" |
| 1648 | else: |
| 1649 | text+=" o=self.order\n" |
| 1650 | o="o" |
| 1651 | text+=" dim=self.domain.getDim()\n" |
| 1652 | text+=" w_ref=%s(self.domain)\n"%where |
| 1653 | text+=" x_ref=w_ref.getX()\n" |
| 1654 | text+=" w=%s(self.domain)\n"%case |
| 1655 | text+=" x=w.getX()\n" |
| 1656 | a_2=makeArray((2,2),[-1.,1]) |
| 1657 | b_2=makeArray((2,2),[-1.,1]) |
| 1658 | a_3=makeArray((3,3),[-1.,1]) |
| 1659 | b_3=makeArray((3,3),[-1.,1]) |
| 1660 | if data=="Symbol": |
| 1661 | text+=" arg=Symbol(shape=(dim,),dim=dim)\n" |
| 1662 | val="s" |
| 1663 | res="sub" |
| 1664 | else: |
| 1665 | val="arg" |
| 1666 | res="res" |
| 1667 | text+=" %s=Vector(0,w)\n"%val |
| 1668 | text+=" if dim==2:\n" |
| 1669 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") |
| 1670 | text+=unrollLoopsOfDiv(a_2,b_2,o,"ref",tap=" ") |
| 1671 | text+="\n else:\n" |
| 1672 | |
| 1673 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") |
| 1674 | text+=unrollLoopsOfDiv(a_3,b_3,o,"ref",tap=" ") |
| 1675 | text+="\n res=div(arg,where=w_ref)\n" |
| 1676 | if data=="Symbol": |
| 1677 | text+=" sub=res.substitute({arg:s})\n" |
| 1678 | text+=" self.failUnless(isinstance(res,%s),\"wrong type of result.\")\n"%data |
| 1679 | text+=" self.failUnlessEqual(res.getShape(),(),\"wrong shape of result.\")\n" |
| 1680 | text+=" self.failUnlessEqual(%s.getFunctionSpace(),w_ref,\"wrong function space of result.\")\n"%res |
| 1681 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1682 | |
| 1683 | |
| 1684 | t_prog+=text |
| 1685 | print t_prog |
| 1686 | 1/0 |
| 1687 | |
| 1688 | #======================================================================================================= |
| 1689 | # interpolation |
| 1690 | #======================================================================================================= |
| 1691 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne","Solution","ReducedSolution"]: |
| 1692 | for data in ["Data","Symbol"]: |
| 1693 | for case in ["ContinuousFunction","Solution","ReducedSolution","Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 1694 | for sh in [ (),(2,), (4,5), (6,2,2),(4,5,3,2)]: |
| 1695 | if where==case or \ |
| 1696 | ( case in ["ContinuousFunction","Solution","ReducedSolution"] and where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"] ) or \ |
| 1697 | ( case in ["FunctionOnContactZero","FunctionOnContactOne"] and where in ["FunctionOnContactZero","FunctionOnContactOne"] ) or \ |
| 1698 | (case=="ContinuousFunction" and where in ["Solution","ReducedSolution"]) or \ |
| 1699 | (case=="Solution" and where=="ReducedSolution") : |
| 1700 | |
| 1701 | |
| 1702 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1703 | tname="test_interpolation_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) |
| 1704 | text+=" def %s(self):\n"%tname |
| 1705 | text+=" \"\"\"\n" |
| 1706 | text+=" tests interpolation for rank %s %s onto the %s\n\n"%(len(sh),data,where) |
| 1707 | text+=" assumptions: self.domain supports inpterpolation from %s onto %s\n"%(case,where) |
| 1708 | text+=" \"\"\"\n" |
| 1709 | if case=="ReducedSolution" or where=="ReducedSolution": |
| 1710 | text+=" o=1\n" |
| 1711 | o="1" |
| 1712 | else: |
| 1713 | text+=" o=self.order\n" |
| 1714 | o="o" |
| 1715 | text+=" dim=self.domain.getDim()\n" |
| 1716 | text+=" w_ref=%s(self.domain)\n"%where |
| 1717 | text+=" x_ref=w_ref.getX()\n" |
| 1718 | text+=" w=%s(self.domain)\n"%case |
| 1719 | text+=" x=w.getX()\n" |
| 1720 | a_2=makeArray(sh+(2,),[-1.,1]) |
| 1721 | b_2=makeArray(sh+(2,),[-1.,1]) |
| 1722 | a_3=makeArray(sh+(3,),[-1.,1]) |
| 1723 | b_3=makeArray(sh+(3,),[-1.,1]) |
| 1724 | if data=="Symbol": |
| 1725 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh) |
| 1726 | val="s" |
| 1727 | res="sub" |
| 1728 | else: |
| 1729 | val="arg" |
| 1730 | res="res" |
| 1731 | text+=" %s=Data(0,%s,w)\n"%(val,str(sh)) |
| 1732 | text+=" ref=Data(0,%s,w_ref)\n"%str(sh) |
| 1733 | text+=" if dim==2:\n" |
| 1734 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") |
| 1735 | text+=unrollLoops(a_2,b_2,o,"ref",tap=" ",x="x_ref") |
| 1736 | text+=" else:\n" |
| 1737 | |
| 1738 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") |
| 1739 | text+=unrollLoops(a_3,b_3,o,"ref",tap=" ",x="x_ref") |
| 1740 | text+=" res=interpolate(arg,where=w_ref)\n" |
| 1741 | if data=="Symbol": |
| 1742 | text+=" sub=res.substitute({arg:s})\n" |
| 1743 | text+=" self.failUnless(isinstance(res,%s),\"wrong type of result.\")\n"%data |
| 1744 | text+=" self.failUnlessEqual(%s.getFunctionSpace(),w_ref,\"wrong functionspace of result.\")\n"%res |
| 1745 | text+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh) |
| 1746 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1747 | t_prog+=text |
| 1748 | print test_header |
| 1749 | print t_prog |
| 1750 | print test_tail |
| 1751 | 1/0 |
| 1752 | |
| 1753 | #======================================================================================================= |
| 1754 | # grad |
| 1755 | #======================================================================================================= |
| 1756 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 1757 | for data in ["Data","Symbol"]: |
| 1758 | for case in ["ContinuousFunction","Solution","ReducedSolution"]: |
| 1759 | for sh in [ (),(2,), (4,5), (6,2,2)]: |
| 1760 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1761 | tname="test_grad_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) |
| 1762 | text+=" def %s(self):\n"%tname |
| 1763 | text+=" \"\"\"\n" |
| 1764 | text+=" tests gradient for rank %s %s on the %s\n\n"%(len(sh),data,where) |
| 1765 | text+=" assumptions: %s(self.domain) exists\n"%case |
| 1766 | text+=" self.domain supports gardient on %s\n"%where |
| 1767 | text+=" \"\"\"\n" |
| 1768 | if case=="ReducedSolution": |
| 1769 | text+=" o=1\n" |
| 1770 | o="1" |
| 1771 | else: |
| 1772 | text+=" o=self.order\n" |
| 1773 | o="o" |
| 1774 | text+=" dim=self.domain.getDim()\n" |
| 1775 | text+=" w_ref=%s(self.domain)\n"%where |
| 1776 | text+=" x_ref=w_ref.getX()\n" |
| 1777 | text+=" w=%s(self.domain)\n"%case |
| 1778 | text+=" x=w.getX()\n" |
| 1779 | a_2=makeArray(sh+(2,),[-1.,1]) |
| 1780 | b_2=makeArray(sh+(2,),[-1.,1]) |
| 1781 | a_3=makeArray(sh+(3,),[-1.,1]) |
| 1782 | b_3=makeArray(sh+(3,),[-1.,1]) |
| 1783 | if data=="Symbol": |
| 1784 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh) |
| 1785 | val="s" |
| 1786 | res="sub" |
| 1787 | else: |
| 1788 | val="arg" |
| 1789 | res="res" |
| 1790 | text+=" %s=Data(0,%s,w)\n"%(val,str(sh)) |
| 1791 | text+=" ref=Data(0,%s+(dim,),w_ref)\n"%str(sh) |
| 1792 | text+=" if dim==2:\n" |
| 1793 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") |
| 1794 | text+=unrollLoopsOfGrad(a_2,b_2,o,"ref",tap=" ") |
| 1795 | text+=" else:\n" |
| 1796 | |
| 1797 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") |
| 1798 | text+=unrollLoopsOfGrad(a_3,b_3,o,"ref",tap=" ") |
| 1799 | text+=" res=grad(arg,where=w_ref)\n" |
| 1800 | if data=="Symbol": |
| 1801 | text+=" sub=res.substitute({arg:s})\n" |
| 1802 | text+=" self.failUnless(isinstance(res,%s),\"wrong type of result.\")\n"%data |
| 1803 | text+=" self.failUnlessEqual(res.getShape(),%s+(dim,),\"wrong shape of result.\")\n"%str(sh) |
| 1804 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1805 | |
| 1806 | |
| 1807 | t_prog+=text |
| 1808 | print test_header |
| 1809 | print t_prog |
| 1810 | print test_tail |
| 1811 | 1/0 |
| 1812 | |
| 1813 | |
| 1814 | #======================================================================================================= |
| 1815 | # integrate |
| 1816 | #======================================================================================================= |
| 1817 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 1818 | for data in ["Data","Symbol"]: |
| 1819 | for case in ["ContinuousFunction","Solution","ReducedSolution","Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 1820 | for sh in [ (),(2,), (4,5), (6,2,2),(4,5,3,2)]: |
| 1821 | if (not case in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]) or where==case: |
| 1822 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1823 | tname="test_integrate_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) |
| 1824 | text+=" def %s(self):\n"%tname |
| 1825 | text+=" \"\"\"\n" |
| 1826 | text+=" tests integral of rank %s %s on the %s\n\n"%(len(sh),data,where) |
| 1827 | text+=" assumptions: %s(self.domain) exists\n"%case |
| 1828 | text+=" self.domain supports integral on %s\n"%where |
| 1829 | |
| 1830 | text+=" \"\"\"\n" |
| 1831 | if case=="ReducedSolution": |
| 1832 | text+=" o=1\n" |
| 1833 | o="1" |
| 1834 | else: |
| 1835 | text+=" o=self.order\n" |
| 1836 | o="o" |
| 1837 | text+=" dim=self.domain.getDim()\n" |
| 1838 | text+=" w_ref=%s(self.domain)\n"%where |
| 1839 | text+=" w=%s(self.domain)\n"%case |
| 1840 | text+=" x=w.getX()\n" |
| 1841 | a_2=makeArray(sh+(2,),[-1.,1]) |
| 1842 | b_2=makeArray(sh+(2,),[-1.,1]) |
| 1843 | a_3=makeArray(sh+(3,),[-1.,1]) |
| 1844 | b_3=makeArray(sh+(3,),[-1.,1]) |
| 1845 | if data=="Symbol": |
| 1846 | text+=" arg=Symbol(shape=%s)\n"%str(sh) |
| 1847 | val="s" |
| 1848 | res="sub" |
| 1849 | else: |
| 1850 | val="arg" |
| 1851 | res="res" |
| 1852 | |
| 1853 | text+=" %s=Data(0,%s,w)\n"%(val,str(sh)) |
| 1854 | if not len(sh)==0: |
| 1855 | text+=" ref=numarray.zeros(%s,numarray.Float)\n"%str(sh) |
| 1856 | text+=" if dim==2:\n" |
| 1857 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") |
| 1858 | text+=unrollLoopsOfInteriorIntegral(a_2,b_2,where,"ref",tap=" ") |
| 1859 | text+=" else:\n" |
| 1860 | |
| 1861 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") |
| 1862 | text+=unrollLoopsOfInteriorIntegral(a_3,b_3,where,"ref",tap=" ") |
| 1863 | if case in ["ContinuousFunction","Solution","ReducedSolution"]: |
| 1864 | text+=" res=integrate(arg,where=w_ref)\n" |
| 1865 | else: |
| 1866 | text+=" res=integrate(arg)\n" |
| 1867 | |
| 1868 | if data=="Symbol": |
| 1869 | text+=" sub=res.substitute({arg:s})\n" |
| 1870 | if len(sh)==0 and data=="Data": |
| 1871 | text+=" self.failUnless(isinstance(%s,float),\"wrong type of result.\")\n"%res |
| 1872 | else: |
| 1873 | if data=="Symbol": |
| 1874 | text+=" self.failUnless(isinstance(res,Symbol),\"wrong type of result.\")\n" |
| 1875 | text+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh) |
| 1876 | else: |
| 1877 | text+=" self.failUnless(isinstance(res,numarray.NumArray),\"wrong type of result.\")\n" |
| 1878 | text+=" self.failUnlessEqual(res.shape,%s,\"wrong shape of result.\")\n"%str(sh) |
| 1879 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1880 | |
| 1881 | |
| 1882 | t_prog+=text |
| 1883 | print test_header |
| 1884 | print t_prog |
| 1885 | print test_tail |
| 1886 | 1/0 |
| 1887 | #======================================================================================================= |
| 1888 | # inverse |
| 1889 | #======================================================================================================= |
| 1890 | name="inverse" |
| 1891 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
| 1892 | for sh0 in [ (1,1), (2,2), (3,3)]: |
| 1893 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1894 | tname="test_%s_%s_dim%s"%(name,case0,sh0[0]) |
| 1895 | text+=" def %s(self):\n"%tname |
| 1896 | a_0=makeArray(sh0,[-1.,1]) |
| 1897 | for i in range(sh0[0]): a_0[i,i]+=2 |
| 1898 | if case0 in ["taggedData", "expandedData"]: |
| 1899 | a1_0=makeArray(sh0,[-1.,1]) |
| 1900 | for i in range(sh0[0]): a1_0[i,i]+=3 |
| 1901 | else: |
| 1902 | a1_0=a_0 |
| 1903 | |
| 1904 | text+=mkText(case0,"arg",a_0,a1_0) |
| 1905 | text+=" res=%s(arg)\n"%name |
| 1906 | if case0=="Symbol": |
| 1907 | text+=mkText("array","s",a_0,a1_0) |
| 1908 | text+=" sub=res.substitute({arg:s})\n" |
| 1909 | res="sub" |
| 1910 | ref="s" |
| 1911 | else: |
| 1912 | ref="arg" |
| 1913 | res="res" |
| 1914 | text+=mkTypeAndShapeTest(case0,sh0,"res") |
| 1915 | text+=" self.failUnless(Lsup(matrixmult(%s,%s)-kronecker(%s))<=self.RES_TOL,\"wrong result\")\n"%(res,ref,sh0[0]) |
| 1916 | |
| 1917 | if case0 == "taggedData" : |
| 1918 | t_prog_with_tags+=text |
| 1919 | else: |
| 1920 | t_prog+=text |
| 1921 | |
| 1922 | print test_header |
| 1923 | # print t_prog |
| 1924 | print t_prog_with_tags |
| 1925 | print test_tail |
| 1926 | 1/0 |
| 1927 | |
| 1928 | #======================================================================================================= |
| 1929 | # trace |
| 1930 | #======================================================================================================= |
| 1931 | def traceTest(r,offset): |
| 1932 | sh=r.shape |
| 1933 | r1=1 |
| 1934 | for i in range(offset): r1*=sh[i] |
| 1935 | r2=1 |
| 1936 | for i in range(offset+2,len(sh)): r2*=sh[i] |
| 1937 | r_s=numarray.reshape(r,(r1,sh[offset],sh[offset],r2)) |
| 1938 | s=numarray.zeros([r1,r2],numarray.Float) |
| 1939 | for i1 in range(r1): |
| 1940 | for i2 in range(r2): |
| 1941 | for j in range(sh[offset]): s[i1,i2]+=r_s[i1,j,j,i2] |
| 1942 | return s.resize(sh[:offset]+sh[offset+2:]) |
| 1943 | name,tt="trace",traceTest |
| 1944 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
| 1945 | for sh0 in [ (4,5), (6,2,2),(3,2,3,4)]: |
| 1946 | for offset in range(len(sh0)-1): |
| 1947 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1948 | tname="test_%s_%s_rank%s_offset%s"%(name,case0,len(sh0),offset) |
| 1949 | text+=" def %s(self):\n"%tname |
| 1950 | sh_t=list(sh0) |
| 1951 | sh_t[offset+1]=sh_t[offset] |
| 1952 | sh_t=tuple(sh_t) |
| 1953 | sh_r=[] |
| 1954 | for i in range(offset): sh_r.append(sh0[i]) |
| 1955 | for i in range(offset+2,len(sh0)): sh_r.append(sh0[i]) |
| 1956 | sh_r=tuple(sh_r) |
| 1957 | a_0=makeArray(sh_t,[-1.,1]) |
| 1958 | if case0 in ["taggedData", "expandedData"]: |
| 1959 | a1_0=makeArray(sh_t,[-1.,1]) |
| 1960 | else: |
| 1961 | a1_0=a_0 |
| 1962 | r=tt(a_0,offset) |
| 1963 | r1=tt(a1_0,offset) |
| 1964 | text+=mkText(case0,"arg",a_0,a1_0) |
| 1965 | text+=" res=%s(arg,%s)\n"%(name,offset) |
| 1966 | if case0=="Symbol": |
| 1967 | text+=mkText("array","s",a_0,a1_0) |
| 1968 | text+=" sub=res.substitute({arg:s})\n" |
| 1969 | res="sub" |
| 1970 | text+=mkText("array","ref",r,r1) |
| 1971 | else: |
| 1972 | res="res" |
| 1973 | text+=mkText(case0,"ref",r,r1) |
| 1974 | text+=mkTypeAndShapeTest(case0,sh_r,"res") |
| 1975 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1976 | |
| 1977 | if case0 == "taggedData" : |
| 1978 | t_prog_with_tags+=text |
| 1979 | else: |
| 1980 | t_prog+=text |
| 1981 | |
| 1982 | print test_header |
| 1983 | # print t_prog |
| 1984 | print t_prog_with_tags |
| 1985 | print test_tail |
| 1986 | 1/0 |
| 1987 | |
| 1988 | #======================================================================================================= |
| 1989 | # clip |
| 1990 | #======================================================================================================= |
| 1991 | oper_L=[["clip",clipTEST]] |
| 1992 | for oper in oper_L: |
| 1993 | for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 1994 | for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 1995 | if len(sh0)==0 or not case0=="float": |
| 1996 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1997 | tname="test_%s_%s_rank%s"%(oper[0],case0,len(sh0)) |
| 1998 | text+=" def %s(self):\n"%tname |
| 1999 | a_0=makeArray(sh0,[-1.,1]) |
| 2000 | if case0 in ["taggedData", "expandedData"]: |
| 2001 | a1_0=makeArray(sh0,[-1.,1]) |
| 2002 | else: |
| 2003 | a1_0=a_0 |
| 2004 | |
| 2005 | r=oper[1](a_0,-0.3,0.5) |
| 2006 | r1=oper[1](a1_0,-0.3,0.5) |
| 2007 | text+=mkText(case0,"arg",a_0,a1_0) |
| 2008 | text+=" res=%s(arg,-0.3,0.5)\n"%oper[0] |
| 2009 | if case0=="Symbol": |
| 2010 | text+=mkText("array","s",a_0,a1_0) |
| 2011 | text+=" sub=res.substitute({arg:s})\n" |
| 2012 | res="sub" |
| 2013 | text+=mkText("array","ref",r,r1) |
| 2014 | else: |
| 2015 | res="res" |
| 2016 | text+=mkText(case0,"ref",r,r1) |
| 2017 | text+=mkTypeAndShapeTest(case0,sh0,"res") |
| 2018 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 2019 | |
| 2020 | if case0 == "taggedData" : |
| 2021 | t_prog_with_tags+=text |
| 2022 | else: |
| 2023 | t_prog+=text |
| 2024 | |
| 2025 | print test_header |
| 2026 | # print t_prog |
| 2027 | print t_prog_with_tags |
| 2028 | print test_tail |
| 2029 | 1/0 |
| 2030 | |
| 2031 | #======================================================================================================= |
| 2032 | # maximum, minimum, clipping |
| 2033 | #======================================================================================================= |
| 2034 | oper_L=[ ["maximum",maximumTEST], |
| 2035 | ["minimum",minimumTEST]] |
| 2036 | for oper in oper_L: |
| 2037 | for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 2038 | for sh1 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 2039 | for case1 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 2040 | for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 2041 | if (len(sh0)==0 or not case0=="float") and (len(sh1)==0 or not case1=="float") \ |
| 2042 | and (sh0==sh1 or len(sh0)==0 or len(sh1)==0) : |
| 2043 | use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData" |
| 2044 | |
| 2045 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 2046 | tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1)) |
| 2047 | text+=" def %s(self):\n"%tname |
| 2048 | a_0=makeArray(sh0,[-1.,1]) |
| 2049 | if case0 in ["taggedData", "expandedData"]: |
| 2050 | a1_0=makeArray(sh0,[-1.,1]) |
| 2051 | else: |
| 2052 | a1_0=a_0 |
| 2053 | |
| 2054 | a_1=makeArray(sh1,[-1.,1]) |
| 2055 | if case1 in ["taggedData", "expandedData"]: |
| 2056 | a1_1=makeArray(sh1,[-1.,1]) |
| 2057 | else: |
| 2058 | a1_1=a_1 |
| 2059 | r=oper[1](a_0,a_1) |
| 2060 | r1=oper[1](a1_0,a1_1) |
| 2061 | text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data) |
| 2062 | text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data) |
| 2063 | text+=" res=%s(arg0,arg1)\n"%oper[0] |
| 2064 | case=getResultCaseForBin(case0,case1) |
| 2065 | if case=="Symbol": |
| 2066 | c0_res,c1_res=case0,case1 |
| 2067 | subs="{" |
| 2068 | if case0=="Symbol": |
| 2069 | text+=mkText("array","s0",a_0,a1_0) |
| 2070 | subs+="arg0:s0" |
| 2071 | c0_res="array" |
| 2072 | if case1=="Symbol": |
| 2073 | text+=mkText("array","s1",a_1,a1_1) |
| 2074 | if not subs.endswith("{"): subs+="," |
| 2075 | subs+="arg1:s1" |
| 2076 | c1_res="array" |
| 2077 | subs+="}" |
| 2078 | text+=" sub=res.substitute(%s)\n"%subs |
| 2079 | res="sub" |
| 2080 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
| 2081 | else: |
| 2082 | res="res" |
| 2083 | text+=mkText(case,"ref",r,r1) |
| 2084 | if len(sh0)>len(sh1): |
| 2085 | text+=mkTypeAndShapeTest(case,sh0,"res") |
| 2086 | else: |
| 2087 | text+=mkTypeAndShapeTest(case,sh1,"res") |
| 2088 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 2089 | |
| 2090 | if case0 == "taggedData" or case1 == "taggedData": |
| 2091 | t_prog_with_tags+=text |
| 2092 | else: |
| 2093 | t_prog+=text |
| 2094 | |
| 2095 | print test_header |
| 2096 | # print t_prog |
| 2097 | print t_prog_with_tags |
| 2098 | print test_tail |
| 2099 | 1/0 |
| 2100 | |
| 2101 | |
| 2102 | #======================================================================================================= |
| 2103 | # outer inner |
| 2104 | #======================================================================================================= |
| 2105 | oper=["outer",outerTEST] |
| 2106 | # oper=["inner",innerTEST] |
| 2107 | for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 2108 | for sh1 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 2109 | for case1 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 2110 | for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 2111 | if (len(sh0)==0 or not case0=="float") and (len(sh1)==0 or not case1=="float") \ |
| 2112 | and len(sh0+sh1)<5: |
| 2113 | use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData" |
| 2114 | |
| 2115 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 2116 | tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1)) |
| 2117 | text+=" def %s(self):\n"%tname |
| 2118 | a_0=makeArray(sh0,[-1.,1]) |
| 2119 | if case0 in ["taggedData", "expandedData"]: |
| 2120 | a1_0=makeArray(sh0,[-1.,1]) |
| 2121 | else: |
| 2122 | a1_0=a_0 |
| 2123 | |
| 2124 | a_1=makeArray(sh1,[-1.,1]) |
| 2125 | if case1 in ["taggedData", "expandedData"]: |
| 2126 | a1_1=makeArray(sh1,[-1.,1]) |
| 2127 | else: |
| 2128 | a1_1=a_1 |
| 2129 | r=oper[1](a_0,a_1) |
| 2130 | r1=oper[1](a1_0,a1_1) |
| 2131 | text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data) |
| 2132 | text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data) |
| 2133 | text+=" res=%s(arg0,arg1)\n"%oper[0] |
| 2134 | case=getResultCaseForBin(case0,case1) |
| 2135 | if case=="Symbol": |
| 2136 | c0_res,c1_res=case0,case1 |
| 2137 | subs="{" |
| 2138 | if case0=="Symbol": |
| 2139 | text+=mkText("array","s0",a_0,a1_0) |
| 2140 | subs+="arg0:s0" |
| 2141 | c0_res="array" |
| 2142 | if case1=="Symbol": |
| 2143 | text+=mkText("array","s1",a_1,a1_1) |
| 2144 | if not subs.endswith("{"): subs+="," |
| 2145 | subs+="arg1:s1" |
| 2146 | c1_res="array" |
| 2147 | subs+="}" |
| 2148 | text+=" sub=res.substitute(%s)\n"%subs |
| 2149 | res="sub" |
| 2150 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
| 2151 | else: |
| 2152 | res="res" |
| 2153 | text+=mkText(case,"ref",r,r1) |
| 2154 | text+=mkTypeAndShapeTest(case,sh0+sh1,"res") |
| 2155 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 2156 | |
| 2157 | if case0 == "taggedData" or case1 == "taggedData": |
| 2158 | t_prog_with_tags+=text |
| 2159 | else: |
| 2160 | t_prog+=text |
| 2161 | |
| 2162 | print test_header |
| 2163 | # print t_prog |
| 2164 | print t_prog_with_tags |
| 2165 | print test_tail |
| 2166 | 1/0 |
| 2167 | |
| 2168 | #======================================================================================================= |
| 2169 | # local reduction |
| 2170 | #======================================================================================================= |
| 2171 | for oper in [["length",0.,"out+%a1%**2","math.sqrt(out)"], |
| 2172 | ["maxval",-1.e99,"max(out,%a1%)","out"], |
| 2173 | ["minval",1.e99,"min(out,%a1%)","out"] ]: |
| 2174 | for case in case_set: |
| 2175 | for sh in shape_set: |
| 2176 | if not case=="float" or len(sh)==0: |
| 2177 | text="" |
| 2178 | text+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 2179 | tname="def test_%s_%s_rank%s"%(oper[0],case,len(sh)) |
| 2180 | text+=" %s(self):\n"%tname |
| 2181 | a=makeArray(sh,[-1.,1.]) |
| 2182 | a1=makeArray(sh,[-1.,1.]) |
| 2183 | r1=testReduce(a1,oper[1],oper[2],oper[3]) |
| 2184 | r=testReduce(a,oper[1],oper[2],oper[3]) |
| 2185 | |
| 2186 | text+=mkText(case,"arg",a,a1) |
| 2187 | text+=" res=%s(arg)\n"%oper[0] |
| 2188 | if case=="Symbol": |
| 2189 | text+=mkText("array","s",a,a1) |
| 2190 | text+=" sub=res.substitute({arg:s})\n" |
| 2191 | text+=mkText("array","ref",r,r1) |
| 2192 | res="sub" |
| 2193 | else: |
| 2194 | text+=mkText(case,"ref",r,r1) |
| 2195 | res="res" |
| 2196 | if oper[0]=="length": |
| 2197 | text+=mkTypeAndShapeTest(case,(),"res") |
| 2198 | else: |
| 2199 | if case=="float" or case=="array": |
| 2200 | text+=mkTypeAndShapeTest("float",(),"res") |
| 2201 | else: |
| 2202 | text+=mkTypeAndShapeTest(case,(),"res") |
| 2203 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 2204 | if case == "taggedData": |
| 2205 | t_prog_with_tags+=text |
| 2206 | else: |
| 2207 | t_prog+=text |
| 2208 | print test_header |
| 2209 | # print t_prog |
| 2210 | print t_prog_with_tags |
| 2211 | print test_tail |
| 2212 | 1/0 |
| 2213 | |
| 2214 | #======================================================================================================= |
| 2215 | # tensor multiply |
| 2216 | #======================================================================================================= |
| 2217 | # oper=["generalTensorProduct",tensorProductTest] |
| 2218 | # oper=["matrixmult",testMatrixMult] |
| 2219 | oper=["tensormult",testTensorMult] |
| 2220 | |
| 2221 | for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 2222 | for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 2223 | for case1 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 2224 | for sh1 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 2225 | for sh_s in [ (),(3,), (2,3), (2,4,3),(4,2,3,2)]: |
| 2226 | if (len(sh0+sh_s)==0 or not case0=="float") and (len(sh1+sh_s)==0 or not case1=="float") \ |
| 2227 | and len(sh0+sh1)<5 and len(sh0+sh_s)<5 and len(sh1+sh_s)<5: |
| 2228 | # if len(sh_s)==1 and len(sh0+sh_s)==2 and (len(sh_s+sh1)==1 or len(sh_s+sh1)==2)): # test for matrixmult |
| 2229 | if ( len(sh_s)==1 and len(sh0+sh_s)==2 and ( len(sh1+sh_s)==2 or len(sh1+sh_s)==1 )) or (len(sh_s)==2 and len(sh0+sh_s)==4 and (len(sh1+sh_s)==2 or len(sh1+sh_s)==3 or len(sh1+sh_s)==4)): # test for tensormult |
| 2230 | case=getResultCaseForBin(case0,case1) |
| 2231 |