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tests for interpolation 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*random.random()+rng[0] |
| 183 | else: |
| 184 | raise SystemError,"rank is restricted to 5" |
| 185 | return out |
| 186 | |
| 187 | |
| 188 | def makeResult(val,test_expr): |
| 189 | if isinstance(val,float): |
| 190 | out=eval(test_expr.replace("%a1%","val")) |
| 191 | elif len(val.shape)==0: |
| 192 | out=eval(test_expr.replace("%a1%","val")) |
| 193 | elif len(val.shape)==1: |
| 194 | out=numarray.zeros(val.shape,numarray.Float64) |
| 195 | for i0 in range(val.shape[0]): |
| 196 | out[i0]=eval(test_expr.replace("%a1%","val[i0]")) |
| 197 | elif len(val.shape)==2: |
| 198 | out=numarray.zeros(val.shape,numarray.Float64) |
| 199 | for i0 in range(val.shape[0]): |
| 200 | for i1 in range(val.shape[1]): |
| 201 | out[i0,i1]=eval(test_expr.replace("%a1%","val[i0,i1]")) |
| 202 | elif len(val.shape)==3: |
| 203 | out=numarray.zeros(val.shape,numarray.Float64) |
| 204 | for i0 in range(val.shape[0]): |
| 205 | for i1 in range(val.shape[1]): |
| 206 | for i2 in range(val.shape[2]): |
| 207 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val[i0,i1,i2]")) |
| 208 | elif len(val.shape)==4: |
| 209 | out=numarray.zeros(val.shape,numarray.Float64) |
| 210 | for i0 in range(val.shape[0]): |
| 211 | for i1 in range(val.shape[1]): |
| 212 | for i2 in range(val.shape[2]): |
| 213 | for i3 in range(val.shape[3]): |
| 214 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val[i0,i1,i2,i3]")) |
| 215 | else: |
| 216 | raise SystemError,"rank is restricted to 4" |
| 217 | return out |
| 218 | |
| 219 | def makeResult2(val0,val1,test_expr): |
| 220 | if isinstance(val0,float): |
| 221 | if isinstance(val1,float): |
| 222 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
| 223 | elif len(val1.shape)==0: |
| 224 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
| 225 | elif len(val1.shape)==1: |
| 226 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 227 | for i0 in range(val1.shape[0]): |
| 228 | out[i0]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0]")) |
| 229 | elif len(val1.shape)==2: |
| 230 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 231 | for i0 in range(val1.shape[0]): |
| 232 | for i1 in range(val1.shape[1]): |
| 233 | out[i0,i1]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1]")) |
| 234 | elif len(val1.shape)==3: |
| 235 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 236 | for i0 in range(val1.shape[0]): |
| 237 | for i1 in range(val1.shape[1]): |
| 238 | for i2 in range(val1.shape[2]): |
| 239 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2]")) |
| 240 | elif len(val1.shape)==4: |
| 241 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 242 | for i0 in range(val1.shape[0]): |
| 243 | for i1 in range(val1.shape[1]): |
| 244 | for i2 in range(val1.shape[2]): |
| 245 | for i3 in range(val1.shape[3]): |
| 246 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2,i3]")) |
| 247 | else: |
| 248 | raise SystemError,"rank of val1 is restricted to 4" |
| 249 | elif len(val0.shape)==0: |
| 250 | if isinstance(val1,float): |
| 251 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
| 252 | elif len(val1.shape)==0: |
| 253 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
| 254 | elif len(val1.shape)==1: |
| 255 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 256 | for i0 in range(val1.shape[0]): |
| 257 | out[i0]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0]")) |
| 258 | elif len(val1.shape)==2: |
| 259 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 260 | for i0 in range(val1.shape[0]): |
| 261 | for i1 in range(val1.shape[1]): |
| 262 | out[i0,i1]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1]")) |
| 263 | elif len(val1.shape)==3: |
| 264 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 265 | for i0 in range(val1.shape[0]): |
| 266 | for i1 in range(val1.shape[1]): |
| 267 | for i2 in range(val1.shape[2]): |
| 268 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2]")) |
| 269 | elif len(val1.shape)==4: |
| 270 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 271 | for i0 in range(val1.shape[0]): |
| 272 | for i1 in range(val1.shape[1]): |
| 273 | for i2 in range(val1.shape[2]): |
| 274 | for i3 in range(val1.shape[3]): |
| 275 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2,i3]")) |
| 276 | else: |
| 277 | raise SystemError,"rank of val1 is restricted to 4" |
| 278 | elif len(val0.shape)==1: |
| 279 | if isinstance(val1,float): |
| 280 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 281 | for i0 in range(val0.shape[0]): |
| 282 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1")) |
| 283 | elif len(val1.shape)==0: |
| 284 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 285 | for i0 in range(val0.shape[0]): |
| 286 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1")) |
| 287 | elif len(val1.shape)==1: |
| 288 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 289 | for i0 in range(val0.shape[0]): |
| 290 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0]")) |
| 291 | elif len(val1.shape)==2: |
| 292 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) |
| 293 | for i0 in range(val0.shape[0]): |
| 294 | for j1 in range(val1.shape[1]): |
| 295 | out[i0,j1]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1]")) |
| 296 | elif len(val1.shape)==3: |
| 297 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) |
| 298 | for i0 in range(val0.shape[0]): |
| 299 | for j1 in range(val1.shape[1]): |
| 300 | for j2 in range(val1.shape[2]): |
| 301 | out[i0,j1,j2]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1,j2]")) |
| 302 | elif len(val1.shape)==4: |
| 303 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) |
| 304 | for i0 in range(val0.shape[0]): |
| 305 | for j1 in range(val1.shape[1]): |
| 306 | for j2 in range(val1.shape[2]): |
| 307 | for j3 in range(val1.shape[3]): |
| 308 | out[i0,j1,j2,j3]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1,j2,j3]")) |
| 309 | else: |
| 310 | raise SystemError,"rank of val1 is restricted to 4" |
| 311 | elif len(val0.shape)==2: |
| 312 | if isinstance(val1,float): |
| 313 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 314 | for i0 in range(val0.shape[0]): |
| 315 | for i1 in range(val0.shape[1]): |
| 316 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1")) |
| 317 | elif len(val1.shape)==0: |
| 318 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 319 | for i0 in range(val0.shape[0]): |
| 320 | for i1 in range(val0.shape[1]): |
| 321 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1")) |
| 322 | elif len(val1.shape)==1: |
| 323 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 324 | for i0 in range(val0.shape[0]): |
| 325 | for i1 in range(val0.shape[1]): |
| 326 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0]")) |
| 327 | elif len(val1.shape)==2: |
| 328 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 329 | for i0 in range(val0.shape[0]): |
| 330 | for i1 in range(val0.shape[1]): |
| 331 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1]")) |
| 332 | elif len(val1.shape)==3: |
| 333 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 334 | for i0 in range(val0.shape[0]): |
| 335 | for i1 in range(val0.shape[1]): |
| 336 | for j2 in range(val1.shape[2]): |
| 337 | out[i0,i1,j2]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1,j2]")) |
| 338 | elif len(val1.shape)==4: |
| 339 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 340 | for i0 in range(val0.shape[0]): |
| 341 | for i1 in range(val0.shape[1]): |
| 342 | for j2 in range(val1.shape[2]): |
| 343 | for j3 in range(val1.shape[3]): |
| 344 | out[i0,i1,j2,j3]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1,j2,j3]")) |
| 345 | else: |
| 346 | raise SystemError,"rank of val1 is restricted to 4" |
| 347 | elif len(val0.shape)==3: |
| 348 | if isinstance(val1,float): |
| 349 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 350 | for i0 in range(val0.shape[0]): |
| 351 | for i1 in range(val0.shape[1]): |
| 352 | for i2 in range(val0.shape[2]): |
| 353 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1")) |
| 354 | elif len(val1.shape)==0: |
| 355 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 356 | for i0 in range(val0.shape[0]): |
| 357 | for i1 in range(val0.shape[1]): |
| 358 | for i2 in range(val0.shape[2]): |
| 359 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1")) |
| 360 | elif len(val1.shape)==1: |
| 361 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 362 | for i0 in range(val0.shape[0]): |
| 363 | for i1 in range(val0.shape[1]): |
| 364 | for i2 in range(val0.shape[2]): |
| 365 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0]")) |
| 366 | elif len(val1.shape)==2: |
| 367 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 368 | for i0 in range(val0.shape[0]): |
| 369 | for i1 in range(val0.shape[1]): |
| 370 | for i2 in range(val0.shape[2]): |
| 371 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1]")) |
| 372 | elif len(val1.shape)==3: |
| 373 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 374 | for i0 in range(val0.shape[0]): |
| 375 | for i1 in range(val0.shape[1]): |
| 376 | for i2 in range(val0.shape[2]): |
| 377 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1,i2]")) |
| 378 | elif len(val1.shape)==4: |
| 379 | out=numarray.zeros(val0.shape+val1.shape[3:],numarray.Float64) |
| 380 | for i0 in range(val0.shape[0]): |
| 381 | for i1 in range(val0.shape[1]): |
| 382 | for i2 in range(val0.shape[2]): |
| 383 | for j3 in range(val1.shape[3]): |
| 384 | out[i0,i1,i2,j3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1,i2,j3]")) |
| 385 | else: |
| 386 | raise SystemError,"rank of val1 is rargs[1]estricted to 4" |
| 387 | elif len(val0.shape)==4: |
| 388 | if isinstance(val1,float): |
| 389 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 390 | for i0 in range(val0.shape[0]): |
| 391 | for i1 in range(val0.shape[1]): |
| 392 | for i2 in range(val0.shape[2]): |
| 393 | for i3 in range(val0.shape[3]): |
| 394 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1")) |
| 395 | elif len(val1.shape)==0: |
| 396 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 397 | for i0 in range(val0.shape[0]): |
| 398 | for i1 in range(val0.shape[1]): |
| 399 | for i2 in range(val0.shape[2]): |
| 400 | for i3 in range(val0.shape[3]): |
| 401 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1")) |
| 402 | elif len(val1.shape)==1: |
| 403 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 404 | for i0 in range(val0.shape[0]): |
| 405 | for i1 in range(val0.shape[1]): |
| 406 | for i2 in range(val0.shape[2]): |
| 407 | for i3 in range(val0.shape[3]): |
| 408 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0]")) |
| 409 | elif len(val1.shape)==2: |
| 410 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 411 | for i0 in range(val0.shape[0]): |
| 412 | for i1 in range(val0.shape[1]): |
| 413 | for i2 in range(val0.shape[2]): |
| 414 | for i3 in range(val0.shape[3]): |
| 415 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1]")) |
| 416 | elif len(val1.shape)==3: |
| 417 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 418 | for i0 in range(val0.shape[0]): |
| 419 | for i1 in range(val0.shape[1]): |
| 420 | for i2 in range(val0.shape[2]): |
| 421 | for i3 in range(val0.shape[3]): |
| 422 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1,i2]")) |
| 423 | elif len(val1.shape)==4: |
| 424 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 425 | for i0 in range(val0.shape[0]): |
| 426 | for i1 in range(val0.shape[1]): |
| 427 | for i2 in range(val0.shape[2]): |
| 428 | for i3 in range(val0.shape[3]): |
| 429 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1,i2,i3]")) |
| 430 | else: |
| 431 | raise SystemError,"rank of val1 is restricted to 4" |
| 432 | else: |
| 433 | raise SystemError,"rank is restricted to 4" |
| 434 | return out |
| 435 | |
| 436 | |
| 437 | def mkText(case,name,a,a1=None,use_tagging_for_expanded_data=False): |
| 438 | t_out="" |
| 439 | if case=="float": |
| 440 | if isinstance(a,float): |
| 441 | t_out+=" %s=%s\n"%(name,a) |
| 442 | elif a.rank==0: |
| 443 | t_out+=" %s=%s\n"%(name,a) |
| 444 | else: |
| 445 | t_out+=" %s=numarray.array(%s)\n"%(name,a.tolist()) |
| 446 | elif case=="array": |
| 447 | if isinstance(a,float): |
| 448 | t_out+=" %s=numarray.array(%s)\n"%(name,a) |
| 449 | elif a.rank==0: |
| 450 | t_out+=" %s=numarray.array(%s)\n"%(name,a) |
| 451 | else: |
| 452 | t_out+=" %s=numarray.array(%s)\n"%(name,a.tolist()) |
| 453 | elif case=="constData": |
| 454 | if isinstance(a,float): |
| 455 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 456 | elif a.rank==0: |
| 457 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 458 | else: |
| 459 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) |
| 460 | elif case=="taggedData": |
| 461 | if isinstance(a,float): |
| 462 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 463 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
| 464 | elif a.rank==0: |
| 465 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 466 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
| 467 | else: |
| 468 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) |
| 469 | t_out+=" %s.setTaggedValue(1,numarray.array(%s))\n"%(name,a1.tolist()) |
| 470 | elif case=="expandedData": |
| 471 | if use_tagging_for_expanded_data: |
| 472 | if isinstance(a,float): |
| 473 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 474 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
| 475 | elif a.rank==0: |
| 476 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 477 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
| 478 | else: |
| 479 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) |
| 480 | t_out+=" %s.setTaggedValue(1,numarray.array(%s))\n"%(name,a1.tolist()) |
| 481 | t_out+=" %s.expand()\n"%name |
| 482 | else: |
| 483 | t_out+=" msk_%s=whereNegative(self.functionspace.getX()[0]-0.5)\n"%name |
| 484 | if isinstance(a,float): |
| 485 | t_out+=" %s=msk_%s*(%s)+(1.-msk_%s)*(%s)\n"%(name,name,a,name,a1) |
| 486 | elif a.rank==0: |
| 487 | t_out+=" %s=msk_%s*numarray.array(%s)+(1.-msk_%s)*numarray.array(%s)\n"%(name,name,a,name,a1) |
| 488 | else: |
| 489 | t_out+=" %s=msk_%s*numarray.array(%s)+(1.-msk_%s)*numarray.array(%s)\n"%(name,name,a.tolist(),name,a1.tolist()) |
| 490 | elif case=="Symbol": |
| 491 | if isinstance(a,float): |
| 492 | t_out+=" %s=Symbol(shape=())\n"%(name) |
| 493 | elif a.rank==0: |
| 494 | t_out+=" %s=Symbol(shape=())\n"%(name) |
| 495 | else: |
| 496 | t_out+=" %s=Symbol(shape=%s)\n"%(name,str(a.shape)) |
| 497 | |
| 498 | return t_out |
| 499 | |
| 500 | def mkTypeAndShapeTest(case,sh,argstr): |
| 501 | text="" |
| 502 | if case=="float": |
| 503 | text+=" self.failUnless(isinstance(%s,float),\"wrong type of result.\")\n"%argstr |
| 504 | elif case=="array": |
| 505 | text+=" self.failUnless(isinstance(%s,numarray.NumArray),\"wrong type of result.\")\n"%argstr |
| 506 | text+=" self.failUnlessEqual(%s.shape,%s,\"wrong shape of result.\")\n"%(argstr,str(sh)) |
| 507 | elif case in ["constData","taggedData","expandedData"]: |
| 508 | text+=" self.failUnless(isinstance(%s,Data),\"wrong type of result.\")\n"%argstr |
| 509 | text+=" self.failUnlessEqual(%s.getShape(),%s,\"wrong shape of result.\")\n"%(argstr,str(sh)) |
| 510 | elif case=="Symbol": |
| 511 | text+=" self.failUnless(isinstance(%s,Symbol),\"wrong type of result.\")\n"%argstr |
| 512 | text+=" self.failUnlessEqual(%s.getShape(),%s,\"wrong shape of result.\")\n"%(argstr,str(sh)) |
| 513 | return text |
| 514 | |
| 515 | def mkCode(txt,args=[],intend=""): |
| 516 | s=txt.split("\n") |
| 517 | if len(s)>1: |
| 518 | out="" |
| 519 | for l in s: |
| 520 | out+=intend+l+"\n" |
| 521 | else: |
| 522 | out="%sreturn %s\n"%(intend,txt) |
| 523 | c=1 |
| 524 | for r in args: |
| 525 | out=out.replace("%%a%s%%"%c,r) |
| 526 | return out |
| 527 | |
| 528 | def innerTEST(arg0,arg1): |
| 529 | if isinstance(arg0,float): |
| 530 | out=numarray.array(arg0*arg1) |
| 531 | else: |
| 532 | out=(arg0*arg1).sum() |
| 533 | return out |
| 534 | |
| 535 | def outerTEST(arg0,arg1): |
| 536 | if isinstance(arg0,float): |
| 537 | out=numarray.array(arg0*arg1) |
| 538 | elif isinstance(arg1,float): |
| 539 | out=numarray.array(arg0*arg1) |
| 540 | else: |
| 541 | out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape) |
| 542 | return out |
| 543 | |
| 544 | def tensorProductTest(arg0,arg1,sh_s): |
| 545 | if isinstance(arg0,float): |
| 546 | out=numarray.array(arg0*arg1) |
| 547 | elif isinstance(arg1,float): |
| 548 | out=numarray.array(arg0*arg1) |
| 549 | elif len(sh_s)==0: |
| 550 | out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape) |
| 551 | else: |
| 552 | l=len(sh_s) |
| 553 | sh0=arg0.shape[:arg0.rank-l] |
| 554 | sh1=arg1.shape[l:] |
| 555 | ls,l0,l1=1,1,1 |
| 556 | for i in sh_s: ls*=i |
| 557 | for i in sh0: l0*=i |
| 558 | for i in sh1: l1*=i |
| 559 | out1=numarray.outerproduct(arg0,arg1).resize((l0,ls,ls,l1)) |
| 560 | out2=numarray.zeros((l0,l1),numarray.Float) |
| 561 | for i0 in range(l0): |
| 562 | for i1 in range(l1): |
| 563 | for i in range(ls): out2[i0,i1]+=out1[i0,i,i,i1] |
| 564 | out=out2.resize(sh0+sh1) |
| 565 | return out |
| 566 | |
| 567 | def testMatrixMult(arg0,arg1,sh_s): |
| 568 | return numarray.matrixmultiply(arg0,arg1) |
| 569 | |
| 570 | |
| 571 | def testTensorMult(arg0,arg1,sh_s): |
| 572 | if len(arg0)==2: |
| 573 | return numarray.matrixmultiply(arg0,arg1) |
| 574 | else: |
| 575 | if arg1.rank==4: |
| 576 | out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[2],arg1.shape[3]),numarray.Float) |
| 577 | for i0 in range(arg0.shape[0]): |
| 578 | for i1 in range(arg0.shape[1]): |
| 579 | for i2 in range(arg0.shape[2]): |
| 580 | for i3 in range(arg0.shape[3]): |
| 581 | for j2 in range(arg1.shape[2]): |
| 582 | for j3 in range(arg1.shape[3]): |
| 583 | out[i0,i1,j2,j3]+=arg0[i0,i1,i2,i3]*arg1[i2,i3,j2,j3] |
| 584 | elif arg1.rank==3: |
| 585 | out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[2]),numarray.Float) |
| 586 | for i0 in range(arg0.shape[0]): |
| 587 | for i1 in range(arg0.shape[1]): |
| 588 | for i2 in range(arg0.shape[2]): |
| 589 | for i3 in range(arg0.shape[3]): |
| 590 | for j2 in range(arg1.shape[2]): |
| 591 | out[i0,i1,j2]+=arg0[i0,i1,i2,i3]*arg1[i2,i3,j2] |
| 592 | elif arg1.rank==2: |
| 593 | out=numarray.zeros((arg0.shape[0],arg0.shape[1]),numarray.Float) |
| 594 | for i0 in range(arg0.shape[0]): |
| 595 | for i1 in range(arg0.shape[1]): |
| 596 | for i2 in range(arg0.shape[2]): |
| 597 | for i3 in range(arg0.shape[3]): |
| 598 | out[i0,i1]+=arg0[i0,i1,i2,i3]*arg1[i2,i3] |
| 599 | return out |
| 600 | |
| 601 | def testReduce(arg0,init_val,test_expr,post_expr): |
| 602 | out=init_val |
| 603 | if isinstance(arg0,float): |
| 604 | out=eval(test_expr.replace("%a1%","arg0")) |
| 605 | elif arg0.rank==0: |
| 606 | out=eval(test_expr.replace("%a1%","arg0")) |
| 607 | elif arg0.rank==1: |
| 608 | for i0 in range(arg0.shape[0]): |
| 609 | out=eval(test_expr.replace("%a1%","arg0[i0]")) |
| 610 | elif arg0.rank==2: |
| 611 | for i0 in range(arg0.shape[0]): |
| 612 | for i1 in range(arg0.shape[1]): |
| 613 | out=eval(test_expr.replace("%a1%","arg0[i0,i1]")) |
| 614 | elif arg0.rank==3: |
| 615 | for i0 in range(arg0.shape[0]): |
| 616 | for i1 in range(arg0.shape[1]): |
| 617 | for i2 in range(arg0.shape[2]): |
| 618 | out=eval(test_expr.replace("%a1%","arg0[i0,i1,i2]")) |
| 619 | elif arg0.rank==4: |
| 620 | for i0 in range(arg0.shape[0]): |
| 621 | for i1 in range(arg0.shape[1]): |
| 622 | for i2 in range(arg0.shape[2]): |
| 623 | for i3 in range(arg0.shape[3]): |
| 624 | out=eval(test_expr.replace("%a1%","arg0[i0,i1,i2,i3]")) |
| 625 | return eval(post_expr) |
| 626 | |
| 627 | def clipTEST(arg0,mn,mx): |
| 628 | if isinstance(arg0,float): |
| 629 | return max(min(arg0,mx),mn) |
| 630 | out=numarray.zeros(arg0.shape,numarray.Float64) |
| 631 | if arg0.rank==1: |
| 632 | for i0 in range(arg0.shape[0]): |
| 633 | out[i0]=max(min(arg0[i0],mx),mn) |
| 634 | elif arg0.rank==2: |
| 635 | for i0 in range(arg0.shape[0]): |
| 636 | for i1 in range(arg0.shape[1]): |
| 637 | out[i0,i1]=max(min(arg0[i0,i1],mx),mn) |
| 638 | elif arg0.rank==3: |
| 639 | for i0 in range(arg0.shape[0]): |
| 640 | for i1 in range(arg0.shape[1]): |
| 641 | for i2 in range(arg0.shape[2]): |
| 642 | out[i0,i1,i2]=max(min(arg0[i0,i1,i2],mx),mn) |
| 643 | elif arg0.rank==4: |
| 644 | for i0 in range(arg0.shape[0]): |
| 645 | for i1 in range(arg0.shape[1]): |
| 646 | for i2 in range(arg0.shape[2]): |
| 647 | for i3 in range(arg0.shape[3]): |
| 648 | out[i0,i1,i2,i3]=max(min(arg0[i0,i1,i2,i3],mx),mn) |
| 649 | return out |
| 650 | def minimumTEST(arg0,arg1): |
| 651 | if isinstance(arg0,float): |
| 652 | if isinstance(arg1,float): |
| 653 | if arg0>arg1: |
| 654 | return arg1 |
| 655 | else: |
| 656 | return arg0 |
| 657 | else: |
| 658 | arg0=numarray.ones(arg1.shape)*arg0 |
| 659 | else: |
| 660 | if isinstance(arg1,float): |
| 661 | arg1=numarray.ones(arg0.shape)*arg1 |
| 662 | out=numarray.zeros(arg0.shape,numarray.Float64) |
| 663 | if arg0.rank==0: |
| 664 | if arg0>arg1: |
| 665 | out=arg1 |
| 666 | else: |
| 667 | out=arg0 |
| 668 | elif arg0.rank==1: |
| 669 | for i0 in range(arg0.shape[0]): |
| 670 | if arg0[i0]>arg1[i0]: |
| 671 | out[i0]=arg1[i0] |
| 672 | else: |
| 673 | out[i0]=arg0[i0] |
| 674 | elif arg0.rank==2: |
| 675 | for i0 in range(arg0.shape[0]): |
| 676 | for i1 in range(arg0.shape[1]): |
| 677 | if arg0[i0,i1]>arg1[i0,i1]: |
| 678 | out[i0,i1]=arg1[i0,i1] |
| 679 | else: |
| 680 | out[i0,i1]=arg0[i0,i1] |
| 681 | elif arg0.rank==3: |
| 682 | for i0 in range(arg0.shape[0]): |
| 683 | for i1 in range(arg0.shape[1]): |
| 684 | for i2 in range(arg0.shape[2]): |
| 685 | if arg0[i0,i1,i2]>arg1[i0,i1,i2]: |
| 686 | out[i0,i1,i2]=arg1[i0,i1,i2] |
| 687 | else: |
| 688 | out[i0,i1,i2]=arg0[i0,i1,i2] |
| 689 | elif arg0.rank==4: |
| 690 | for i0 in range(arg0.shape[0]): |
| 691 | for i1 in range(arg0.shape[1]): |
| 692 | for i2 in range(arg0.shape[2]): |
| 693 | for i3 in range(arg0.shape[3]): |
| 694 | if arg0[i0,i1,i2,i3]>arg1[i0,i1,i2,i3]: |
| 695 | out[i0,i1,i2,i3]=arg1[i0,i1,i2,i3] |
| 696 | else: |
| 697 | out[i0,i1,i2,i3]=arg0[i0,i1,i2,i3] |
| 698 | return out |
| 699 | def unrollLoops(a,b,o,arg,tap="",x="x"): |
| 700 | out="" |
| 701 | if a.rank==1: |
| 702 | z="" |
| 703 | for i99 in range(a.shape[0]): |
| 704 | if not z=="": z+="+" |
| 705 | if o=="1": |
| 706 | z+="(%s)*%s[%s]"%(a[i99]+b[i99],x,i99) |
| 707 | else: |
| 708 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i99],x,i99,b[i99],x,i99) |
| 709 | |
| 710 | out+=tap+"%s=%s\n"%(arg,z) |
| 711 | |
| 712 | elif a.rank==2: |
| 713 | for i0 in range(a.shape[0]): |
| 714 | z="" |
| 715 | for i99 in range(a.shape[1]): |
| 716 | if not z=="": z+="+" |
| 717 | if o=="1": |
| 718 | z+="(%s)*x[%s]"%(a[i0,i99]+b[i0,i99],i99) |
| 719 | else: |
| 720 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i99],x,i99,b[i0,i99],x,i99) |
| 721 | |
| 722 | out+=tap+"%s[%s]=%s\n"%(arg,i0,z) |
| 723 | elif a.rank==3: |
| 724 | for i0 in range(a.shape[0]): |
| 725 | for i1 in range(a.shape[1]): |
| 726 | z="" |
| 727 | for i99 in range(a.shape[2]): |
| 728 | if not z=="": z+="+" |
| 729 | if o=="1": |
| 730 | z+="(%s)*%s[%s]"%(a[i0,i1,i99]+b[i0,i1,i99],x,i99) |
| 731 | else: |
| 732 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i99],x,i99,b[i0,i1,i99],x,i99) |
| 733 | |
| 734 | out+=tap+"%s[%s,%s]=%s\n"%(arg,i0,i1,z) |
| 735 | elif a.rank==4: |
| 736 | for i0 in range(a.shape[0]): |
| 737 | for i1 in range(a.shape[1]): |
| 738 | for i2 in range(a.shape[2]): |
| 739 | z="" |
| 740 | for i99 in range(a.shape[3]): |
| 741 | if not z=="": z+="+" |
| 742 | if o=="1": |
| 743 | z+="(%s)*%s[%s]"%(a[i0,i1,i2,i99]+b[i0,i1,i2,i99],x,i99) |
| 744 | else: |
| 745 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i2,i99],x,i99,b[i0,i1,i2,i99],x,i99) |
| 746 | |
| 747 | out+=tap+"%s[%s,%s,%s]=%s\n"%(arg,i0,i1,i2,z) |
| 748 | elif a.rank==5: |
| 749 | for i0 in range(a.shape[0]): |
| 750 | for i1 in range(a.shape[1]): |
| 751 | for i2 in range(a.shape[2]): |
| 752 | for i3 in range(a.shape[3]): |
| 753 | z="" |
| 754 | for i99 in range(a.shape[4]): |
| 755 | if not z=="": z+="+" |
| 756 | if o=="1": |
| 757 | z+="(%s)*%s[%s]"%(a[i0,i1,i2,i3,i99]+b[i0,i1,i2,i3,i99],x,i99) |
| 758 | else: |
| 759 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i2,i3,i99],x,i99,b[i0,i1,i2,i3,i99],x,i99) |
| 760 | |
| 761 | out+=tap+"%s[%s,%s,%s,%s]=%s\n"%(arg,i0,i1,i2,i3,z) |
| 762 | return out |
| 763 | |
| 764 | def unrollLoopsOfGrad(a,b,o,arg,tap=""): |
| 765 | out="" |
| 766 | if a.rank==1: |
| 767 | for i99 in range(a.shape[0]): |
| 768 | if o=="1": |
| 769 | out+=tap+"%s[%s]=(%s)\n"%(arg,i99,a[i99]+b[i99]) |
| 770 | else: |
| 771 | out+=tap+"%s[%s]=o*(%s)*x_ref[%s]**(o-1)+(%s)\n"%(arg,i99,a[i99],i99,b[i99]) |
| 772 | |
| 773 | elif a.rank==2: |
| 774 | for i0 in range(a.shape[0]): |
| 775 | for i99 in range(a.shape[1]): |
| 776 | if o=="1": |
| 777 | out+=tap+"%s[%s,%s]=(%s)\n"%(arg,i0,i99,a[i0,i99]+b[i0,i99]) |
| 778 | else: |
| 779 | out+=tap+"%s[%s,%s]=o*(%s)*x_ref[%s]**(o-1)+(%s)\n"%(arg,i0,i99,a[i0,i99],i99,b[i0,i99]) |
| 780 | |
| 781 | elif a.rank==3: |
| 782 | for i0 in range(a.shape[0]): |
| 783 | for i1 in range(a.shape[1]): |
| 784 | for i99 in range(a.shape[2]): |
| 785 | if o=="1": |
| 786 | out+=tap+"%s[%s,%s,%s]=(%s)\n"%(arg,i0,i1,i99,a[i0,i1,i99]+b[i0,i1,i99]) |
| 787 | else: |
| 788 | 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]) |
| 789 | |
| 790 | elif a.rank==4: |
| 791 | for i0 in range(a.shape[0]): |
| 792 | for i1 in range(a.shape[1]): |
| 793 | for i2 in range(a.shape[2]): |
| 794 | for i99 in range(a.shape[3]): |
| 795 | if o=="1": |
| 796 | out+=tap+"%s[%s,%s,%s,%s]=(%s)\n"%(arg,i0,i1,i2,i99,a[i0,i1,i2,i99]+b[i0,i1,i2,i99]) |
| 797 | else: |
| 798 | 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]) |
| 799 | return out |
| 800 | def unrollLoopsOfInteriorIntegral(a,b,where,arg,tap=""): |
| 801 | if where=="Function": |
| 802 | xfac_o=1. |
| 803 | xfac_op=0. |
| 804 | z_fac=1./2. |
| 805 | z_fac_s="" |
| 806 | zo_fac_s="/(o+1.)" |
| 807 | elif where=="FunctionOnBoundary": |
| 808 | xfac_o=1. |
| 809 | xfac_op=0. |
| 810 | z_fac=1. |
| 811 | z_fac_s="*dim" |
| 812 | zo_fac_s="*(1+2.*(dim-1.)/(o+1.))" |
| 813 | elif where in ["FunctionOnContactZero","FunctionOnContactOne"]: |
| 814 | xfac_o=0. |
| 815 | xfac_op=1. |
| 816 | z_fac=1./2. |
| 817 | z_fac_s="" |
| 818 | zo_fac_s="/(o+1.)" |
| 819 | out="" |
| 820 | if a.rank==1: |
| 821 | zo=0. |
| 822 | zop=0. |
| 823 | z=0. |
| 824 | for i99 in range(a.shape[0]): |
| 825 | if i99==0: |
| 826 | zo+= xfac_o*a[i99] |
| 827 | zop+= xfac_op*a[i99] |
| 828 | else: |
| 829 | zo+=a[i99] |
| 830 | z+=b[i99] |
| 831 | |
| 832 | out+=tap+"%s=(%s)%s+(%s)%s"%(arg,zo,zo_fac_s,z*z_fac,z_fac_s) |
| 833 | if zop==0.: |
| 834 | out+="\n" |
| 835 | else: |
| 836 | out+="+(%s)*0.5**o\n"%zop |
| 837 | elif a.rank==2: |
| 838 | for i0 in range(a.shape[0]): |
| 839 | zo=0. |
| 840 | zop=0. |
| 841 | z=0. |
| 842 | for i99 in range(a.shape[1]): |
| 843 | if i99==0: |
| 844 | zo+= xfac_o*a[i0,i99] |
| 845 | zop+= xfac_op*a[i0,i99] |
| 846 | else: |
| 847 | zo+=a[i0,i99] |
| 848 | z+=b[i0,i99] |
| 849 | |
| 850 | out+=tap+"%s[%s]=(%s)%s+(%s)%s"%(arg,i0,zo,zo_fac_s,z*z_fac,z_fac_s) |
| 851 | if zop==0.: |
| 852 | out+="\n" |
| 853 | else: |
| 854 | out+="+(%s)*0.5**o\n"%zop |
| 855 | elif a.rank==3: |
| 856 | for i0 in range(a.shape[0]): |
| 857 | for i1 in range(a.shape[1]): |
| 858 | zo=0. |
| 859 | zop=0. |
| 860 | z=0. |
| 861 | for i99 in range(a.shape[2]): |
| 862 | if i99==0: |
| 863 | zo+= xfac_o*a[i0,i1,i99] |
| 864 | zop+= xfac_op*a[i0,i1,i99] |
| 865 | else: |
| 866 | zo+=a[i0,i1,i99] |
| 867 | z+=b[i0,i1,i99] |
| 868 | |
| 869 | out+=tap+"%s[%s,%s]=(%s)%s+(%s)%s"%(arg,i0,i1,zo,zo_fac_s,z*z_fac,z_fac_s) |
| 870 | if zop==0.: |
| 871 | out+="\n" |
| 872 | else: |
| 873 | out+="+(%s)*0.5**o\n"%zop |
| 874 | elif a.rank==4: |
| 875 | for i0 in range(a.shape[0]): |
| 876 | for i1 in range(a.shape[1]): |
| 877 | for i2 in range(a.shape[2]): |
| 878 | zo=0. |
| 879 | zop=0. |
| 880 | z=0. |
| 881 | for i99 in range(a.shape[3]): |
| 882 | if i99==0: |
| 883 | zo+= xfac_o*a[i0,i1,i2,i99] |
| 884 | zop+= xfac_op*a[i0,i1,i2,i99] |
| 885 | |
| 886 | else: |
| 887 | zo+=a[i0,i1,i2,i99] |
| 888 | z+=b[i0,i1,i2,i99] |
| 889 | |
| 890 | out+=tap+"%s[%s,%s,%s]=(%s)%s+(%s)%s"%(arg,i0,i1,i2,zo,zo_fac_s,z*z_fac,z_fac_s) |
| 891 | if zop==0.: |
| 892 | out+="\n" |
| 893 | else: |
| 894 | out+="+(%s)*0.5**o\n"%zop |
| 895 | |
| 896 | elif a.rank==5: |
| 897 | for i0 in range(a.shape[0]): |
| 898 | for i1 in range(a.shape[1]): |
| 899 | for i2 in range(a.shape[2]): |
| 900 | for i3 in range(a.shape[3]): |
| 901 | zo=0. |
| 902 | zop=0. |
| 903 | z=0. |
| 904 | for i99 in range(a.shape[4]): |
| 905 | if i99==0: |
| 906 | zo+= xfac_o*a[i0,i1,i2,i3,i99] |
| 907 | zop+= xfac_op*a[i0,i1,i2,i3,i99] |
| 908 | |
| 909 | else: |
| 910 | zo+=a[i0,i1,i2,i3,i99] |
| 911 | z+=b[i0,i1,i2,i3,i99] |
| 912 | 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) |
| 913 | if zop==0.: |
| 914 | out+="\n" |
| 915 | else: |
| 916 | out+="+(%s)*0.5**o\n"%zop |
| 917 | |
| 918 | return out |
| 919 | |
| 920 | #======================================================================================================= |
| 921 | # interpolation |
| 922 | #======================================================================================================= |
| 923 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne","Solution","ReducedSolution"]: |
| 924 | for data in ["Data","Symbol"]: |
| 925 | for case in ["ContinuousFunction","Solution","ReducedSolution","Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 926 | for sh in [ (),(2,), (4,5), (6,2,2),(4,5,3,2)]: |
| 927 | if where==case or \ |
| 928 | ( case in ["ContinuousFunction","Solution","ReducedSolution"] and where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"] ) or \ |
| 929 | ( case in ["FunctionOnContactZero","FunctionOnContactOne"] and where in ["FunctionOnContactZero","FunctionOnContactOne"] ) or \ |
| 930 | (case=="ContinuousFunction" and where in ["Solution","ReducedSolution"]) or \ |
| 931 | (case=="Solution" and where=="ReducedSolution") : |
| 932 | |
| 933 | |
| 934 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 935 | tname="test_interpolation_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) |
| 936 | text+=" def %s(self):\n"%tname |
| 937 | text+=" \"\"\"\n" |
| 938 | text+=" tests interpolation for rank %s %s onto the %s\n\n"%(len(sh),data,where) |
| 939 | text+=" assumptions: self.domain supports inpterpolation from %s onto %s\n"%(case,where) |
| 940 | text+=" \"\"\"\n" |
| 941 | if case=="ReducedSolution" or where=="ReducedSolution": |
| 942 | text+=" o=1\n" |
| 943 | o="1" |
| 944 | else: |
| 945 | text+=" o=self.order\n" |
| 946 | o="o" |
| 947 | text+=" dim=self.domain.getDim()\n" |
| 948 | text+=" w_ref=%s(self.domain)\n"%where |
| 949 | text+=" x_ref=w_ref.getX()\n" |
| 950 | text+=" w=%s(self.domain)\n"%case |
| 951 | text+=" x=w.getX()\n" |
| 952 | a_2=makeArray(sh+(2,),[-1.,1]) |
| 953 | b_2=makeArray(sh+(2,),[-1.,1]) |
| 954 | a_3=makeArray(sh+(3,),[-1.,1]) |
| 955 | b_3=makeArray(sh+(3,),[-1.,1]) |
| 956 | if data=="Symbol": |
| 957 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh) |
| 958 | val="s" |
| 959 | res="sub" |
| 960 | else: |
| 961 | val="arg" |
| 962 | res="res" |
| 963 | text+=" %s=Data(0,%s,w)\n"%(val,str(sh)) |
| 964 | text+=" ref=Data(0,%s,w_ref)\n"%str(sh) |
| 965 | text+=" if dim==2:\n" |
| 966 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") |
| 967 | text+=unrollLoops(a_2,b_2,o,"ref",tap=" ",x="x_ref") |
| 968 | text+=" else:\n" |
| 969 | |
| 970 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") |
| 971 | text+=unrollLoops(a_3,b_3,o,"ref",tap=" ",x="x_ref") |
| 972 | text+=" res=interpolate(arg,where=w_ref)\n" |
| 973 | if data=="Symbol": |
| 974 | text+=" sub=res.substitute({arg:s})\n" |
| 975 | text+=" self.failUnless(isinstance(res,%s),\"wrong type of result.\")\n"%data |
| 976 | text+=" self.failUnlessEqual(%s.getFunctionSpace(),w_ref,\"wrong functionspace of result.\")\n"%res |
| 977 | text+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh) |
| 978 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 979 | t_prog+=text |
| 980 | print test_header |
| 981 | print t_prog |
| 982 | print test_tail |
| 983 | 1/0 |
| 984 | |
| 985 | #======================================================================================================= |
| 986 | # grad |
| 987 | #======================================================================================================= |
| 988 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 989 | for data in ["Data","Symbol"]: |
| 990 | for case in ["ContinuousFunction","Solution","ReducedSolution"]: |
| 991 | for sh in [ (),(2,), (4,5), (6,2,2)]: |
| 992 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 993 | tname="test_grad_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) |
| 994 | text+=" def %s(self):\n"%tname |
| 995 | text+=" \"\"\"\n" |
| 996 | text+=" tests gradient for rank %s %s on the %s\n\n"%(len(sh),data,where) |
| 997 | text+=" assumptions: %s(self.domain) exists\n"%case |
| 998 | text+=" self.domain supports gardient on %s\n"%where |
| 999 | text+=" \"\"\"\n" |
| 1000 | if case=="ReducedSolution": |
| 1001 | text+=" o=1\n" |
| 1002 | o="1" |
| 1003 | else: |
| 1004 | text+=" o=self.order\n" |
| 1005 | o="o" |
| 1006 | text+=" dim=self.domain.getDim()\n" |
| 1007 | text+=" w_ref=%s(self.domain)\n"%where |
| 1008 | text+=" x_ref=w_ref.getX()\n" |
| 1009 | text+=" w=%s(self.domain)\n"%case |
| 1010 | text+=" x=w.getX()\n" |
| 1011 | a_2=makeArray(sh+(2,),[-1.,1]) |
| 1012 | b_2=makeArray(sh+(2,),[-1.,1]) |
| 1013 | a_3=makeArray(sh+(3,),[-1.,1]) |
| 1014 | b_3=makeArray(sh+(3,),[-1.,1]) |
| 1015 | if data=="Symbol": |
| 1016 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh) |
| 1017 | val="s" |
| 1018 | res="sub" |
| 1019 | else: |
| 1020 | val="arg" |
| 1021 | res="res" |
| 1022 | text+=" %s=Data(0,%s,w)\n"%(val,str(sh)) |
| 1023 | text+=" ref=Data(0,%s+(dim,),w_ref)\n"%str(sh) |
| 1024 | text+=" if dim==2:\n" |
| 1025 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") |
| 1026 | text+=unrollLoopsOfGrad(a_2,b_2,o,"ref",tap=" ") |
| 1027 | text+=" else:\n" |
| 1028 | |
| 1029 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") |
| 1030 | text+=unrollLoopsOfGrad(a_3,b_3,o,"ref",tap=" ") |
| 1031 | text+=" res=grad(arg,where=w_ref)\n" |
| 1032 | if data=="Symbol": |
| 1033 | text+=" sub=res.substitute({arg:s})\n" |
| 1034 | text+=" self.failUnless(isinstance(res,%s),\"wrong type of result.\")\n"%data |
| 1035 | text+=" self.failUnlessEqual(res.getShape(),%s+(dim,),\"wrong shape of result.\")\n"%str(sh) |
| 1036 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1037 | |
| 1038 | |
| 1039 | t_prog+=text |
| 1040 | print test_header |
| 1041 | print t_prog |
| 1042 | print test_tail |
| 1043 | 1/0 |
| 1044 | |
| 1045 | |
| 1046 | #======================================================================================================= |
| 1047 | # integrate |
| 1048 | #======================================================================================================= |
| 1049 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 1050 | for data in ["Data","Symbol"]: |
| 1051 | for case in ["ContinuousFunction","Solution","ReducedSolution","Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 1052 | for sh in [ (),(2,), (4,5), (6,2,2),(4,5,3,2)]: |
| 1053 | if (not case in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]) or where==case: |
| 1054 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1055 | tname="test_integrate_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) |
| 1056 | text+=" def %s(self):\n"%tname |
| 1057 | text+=" \"\"\"\n" |
| 1058 | text+=" tests integral of rank %s %s on the %s\n\n"%(len(sh),data,where) |
| 1059 | text+=" assumptions: %s(self.domain) exists\n"%case |
| 1060 | text+=" self.domain supports integral on %s\n"%where |
| 1061 | |
| 1062 | text+=" \"\"\"\n" |
| 1063 | if case=="ReducedSolution": |
| 1064 | text+=" o=1\n" |
| 1065 | o="1" |
| 1066 | else: |
| 1067 | text+=" o=self.order\n" |
| 1068 | o="o" |
| 1069 | text+=" dim=self.domain.getDim()\n" |
| 1070 | text+=" w_ref=%s(self.domain)\n"%where |
| 1071 | text+=" w=%s(self.domain)\n"%case |
| 1072 | text+=" x=w.getX()\n" |
| 1073 | a_2=makeArray(sh+(2,),[-1.,1]) |
| 1074 | b_2=makeArray(sh+(2,),[-1.,1]) |
| 1075 | a_3=makeArray(sh+(3,),[-1.,1]) |
| 1076 | b_3=makeArray(sh+(3,),[-1.,1]) |
| 1077 | if data=="Symbol": |
| 1078 | text+=" arg=Symbol(shape=%s)\n"%str(sh) |
| 1079 | val="s" |
| 1080 | res="sub" |
| 1081 | else: |
| 1082 | val="arg" |
| 1083 | res="res" |
| 1084 | |
| 1085 | text+=" %s=Data(0,%s,w)\n"%(val,str(sh)) |
| 1086 | if not len(sh)==0: |
| 1087 | text+=" ref=numarray.zeros(%s,numarray.Float)\n"%str(sh) |
| 1088 | text+=" if dim==2:\n" |
| 1089 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") |
| 1090 | text+=unrollLoopsOfInteriorIntegral(a_2,b_2,where,"ref",tap=" ") |
| 1091 | text+=" else:\n" |
| 1092 | |
| 1093 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") |
| 1094 | text+=unrollLoopsOfInteriorIntegral(a_3,b_3,where,"ref",tap=" ") |
| 1095 | if case in ["ContinuousFunction","Solution","ReducedSolution"]: |
| 1096 | text+=" res=integrate(arg,where=w_ref)\n" |
| 1097 | else: |
| 1098 | text+=" res=integrate(arg)\n" |
| 1099 | |
| 1100 | if data=="Symbol": |
| 1101 | text+=" sub=res.substitute({arg:s})\n" |
| 1102 | if len(sh)==0 and data=="Data": |
| 1103 | text+=" self.failUnless(isinstance(%s,float),\"wrong type of result.\")\n"%res |
| 1104 | else: |
| 1105 | if data=="Symbol": |
| 1106 | text+=" self.failUnless(isinstance(res,Symbol),\"wrong type of result.\")\n" |
| 1107 | text+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh) |
| 1108 | else: |
| 1109 | text+=" self.failUnless(isinstance(res,numarray.NumArray),\"wrong type of result.\")\n" |
| 1110 | text+=" self.failUnlessEqual(res.shape,%s,\"wrong shape of result.\")\n"%str(sh) |
| 1111 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1112 | |
| 1113 | |
| 1114 | t_prog+=text |
| 1115 | print test_header |
| 1116 | print t_prog |
| 1117 | print test_tail |
| 1118 | 1/0 |
| 1119 | #======================================================================================================= |
| 1120 | # inverse |
| 1121 | #======================================================================================================= |
| 1122 | name="inverse" |
| 1123 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
| 1124 | for sh0 in [ (1,1), (2,2), (3,3)]: |
| 1125 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1126 | tname="test_%s_%s_dim%s"%(name,case0,sh0[0]) |
| 1127 | text+=" def %s(self):\n"%tname |
| 1128 | a_0=makeArray(sh0,[-1.,1]) |
| 1129 | for i in range(sh0[0]): a_0[i,i]+=2 |
| 1130 | if case0 in ["taggedData", "expandedData"]: |
| 1131 | a1_0=makeArray(sh0,[-1.,1]) |
| 1132 | for i in range(sh0[0]): a1_0[i,i]+=3 |
| 1133 | else: |
| 1134 | a1_0=a_0 |
| 1135 | |
| 1136 | text+=mkText(case0,"arg",a_0,a1_0) |
| 1137 | text+=" res=%s(arg)\n"%name |
| 1138 | if case0=="Symbol": |
| 1139 | text+=mkText("array","s",a_0,a1_0) |
| 1140 | text+=" sub=res.substitute({arg:s})\n" |
| 1141 | res="sub" |
| 1142 | ref="s" |
| 1143 | else: |
| 1144 | ref="arg" |
| 1145 | res="res" |
| 1146 | text+=mkTypeAndShapeTest(case0,sh0,"res") |
| 1147 | text+=" self.failUnless(Lsup(matrixmult(%s,%s)-kronecker(%s))<=self.RES_TOL,\"wrong result\")\n"%(res,ref,sh0[0]) |
| 1148 | |
| 1149 | if case0 == "taggedData" : |
| 1150 | t_prog_with_tags+=text |
| 1151 | else: |
| 1152 | t_prog+=text |
| 1153 | |
| 1154 | print test_header |
| 1155 | # print t_prog |
| 1156 | print t_prog_with_tags |
| 1157 | print test_tail |
| 1158 | 1/0 |
| 1159 | |
| 1160 | #======================================================================================================= |
| 1161 | # trace |
| 1162 | #======================================================================================================= |
| 1163 | def traceTest(r,offset): |
| 1164 | sh=r.shape |
| 1165 | r1=1 |
| 1166 | for i in range(offset): r1*=sh[i] |
| 1167 | r2=1 |
| 1168 | for i in range(offset+2,len(sh)): r2*=sh[i] |
| 1169 | r_s=numarray.reshape(r,(r1,sh[offset],sh[offset],r2)) |
| 1170 | s=numarray.zeros([r1,r2],numarray.Float) |
| 1171 | for i1 in range(r1): |
| 1172 | for i2 in range(r2): |
| 1173 | for j in range(sh[offset]): s[i1,i2]+=r_s[i1,j,j,i2] |
| 1174 | return s.resize(sh[:offset]+sh[offset+2:]) |
| 1175 | name,tt="trace",traceTest |
| 1176 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
| 1177 | for sh0 in [ (4,5), (6,2,2),(3,2,3,4)]: |
| 1178 | for offset in range(len(sh0)-1): |
| 1179 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1180 | tname="test_%s_%s_rank%s_offset%s"%(name,case0,len(sh0),offset) |
| 1181 | text+=" def %s(self):\n"%tname |
| 1182 | sh_t=list(sh0) |
| 1183 | sh_t[offset+1]=sh_t[offset] |
| 1184 | sh_t=tuple(sh_t) |
| 1185 | sh_r=[] |
| 1186 | for i in range(offset): sh_r.append(sh0[i]) |
| 1187 | for i in range(offset+2,len(sh0)): sh_r.append(sh0[i]) |
| 1188 | sh_r=tuple(sh_r) |
| 1189 | a_0=makeArray(sh_t,[-1.,1]) |
| 1190 | if case0 in ["taggedData", "expandedData"]: |
| 1191 | a1_0=makeArray(sh_t,[-1.,1]) |
| 1192 | else: |
| 1193 | a1_0=a_0 |
| 1194 | r=tt(a_0,offset) |
| 1195 | r1=tt(a1_0,offset) |
| 1196 | text+=mkText(case0,"arg",a_0,a1_0) |
| 1197 | text+=" res=%s(arg,%s)\n"%(name,offset) |
| 1198 | if case0=="Symbol": |
| 1199 | text+=mkText("array","s",a_0,a1_0) |
| 1200 | text+=" sub=res.substitute({arg:s})\n" |
| 1201 | res="sub" |
| 1202 | text+=mkText("array","ref",r,r1) |
| 1203 | else: |
| 1204 | res="res" |
| 1205 | text+=mkText(case0,"ref",r,r1) |
| 1206 | text+=mkTypeAndShapeTest(case0,sh_r,"res") |
| 1207 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1208 | |
| 1209 | if case0 == "taggedData" : |
| 1210 | t_prog_with_tags+=text |
| 1211 | else: |
| 1212 | t_prog+=text |
| 1213 | |
| 1214 | print test_header |
| 1215 | # print t_prog |
| 1216 | print t_prog_with_tags |
| 1217 | print test_tail |
| 1218 | 1/0 |
| 1219 | |
| 1220 | #======================================================================================================= |
| 1221 | # clip |
| 1222 | #======================================================================================================= |
| 1223 | oper_L=[["clip",clipTEST]] |
| 1224 | for oper in oper_L: |
| 1225 | for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 1226 | for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 1227 | if len(sh0)==0 or not case0=="float": |
| 1228 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1229 | tname="test_%s_%s_rank%s"%(oper[0],case0,len(sh0)) |
| 1230 | text+=" def %s(self):\n"%tname |
| 1231 | a_0=makeArray(sh0,[-1.,1]) |
| 1232 | if case0 in ["taggedData", "expandedData"]: |
| 1233 | a1_0=makeArray(sh0,[-1.,1]) |
| 1234 | else: |
| 1235 | a1_0=a_0 |
| 1236 | |
| 1237 | r=oper[1](a_0,-0.3,0.5) |
| 1238 | r1=oper[1](a1_0,-0.3,0.5) |
| 1239 | text+=mkText(case0,"arg",a_0,a1_0) |
| 1240 | text+=" res=%s(arg,-0.3,0.5)\n"%oper[0] |
| 1241 | if case0=="Symbol": |
| 1242 | text+=mkText("array","s",a_0,a1_0) |
| 1243 | text+=" sub=res.substitute({arg:s})\n" |
| 1244 | res="sub" |
| 1245 | text+=mkText("array","ref",r,r1) |
| 1246 | else: |
| 1247 | res="res" |
| 1248 | text+=mkText(case0,"ref",r,r1) |
| 1249 | text+=mkTypeAndShapeTest(case0,sh0,"res") |
| 1250 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1251 | |
| 1252 | if case0 == "taggedData" : |
| 1253 | t_prog_with_tags+=text |
| 1254 | else: |
| 1255 | t_prog+=text |
| 1256 | |
| 1257 | print test_header |
| 1258 | # print t_prog |
| 1259 | print t_prog_with_tags |
| 1260 | print test_tail |
| 1261 | 1/0 |
| 1262 | |
| 1263 | #======================================================================================================= |
| 1264 | # maximum, minimum, clipping |
| 1265 | #======================================================================================================= |
| 1266 | oper_L=[ ["maximum",maximumTEST], |
| 1267 | ["minimum",minimumTEST]] |
| 1268 | for oper in oper_L: |
| 1269 | for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 1270 | for sh1 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 1271 | for case1 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 1272 | for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 1273 | if (len(sh0)==0 or not case0=="float") and (len(sh1)==0 or not case1=="float") \ |
| 1274 | and (sh0==sh1 or len(sh0)==0 or len(sh1)==0) : |
| 1275 | use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData" |
| 1276 | |
| 1277 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1278 | tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1)) |
| 1279 | text+=" def %s(self):\n"%tname |
| 1280 | a_0=makeArray(sh0,[-1.,1]) |
| 1281 | if case0 in ["taggedData", "expandedData"]: |
| 1282 | a1_0=makeArray(sh0,[-1.,1]) |
| 1283 | else: |
| 1284 | a1_0=a_0 |
| 1285 | |
| 1286 | a_1=makeArray(sh1,[-1.,1]) |
| 1287 | if case1 in ["taggedData", "expandedData"]: |
| 1288 | a1_1=makeArray(sh1,[-1.,1]) |
| 1289 | else: |
| 1290 | a1_1=a_1 |
| 1291 | r=oper[1](a_0,a_1) |
| 1292 | r1=oper[1](a1_0,a1_1) |
| 1293 | text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data) |
| 1294 | text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data) |
| 1295 | text+=" res=%s(arg0,arg1)\n"%oper[0] |
| 1296 | case=getResultCaseForBin(case0,case1) |
| 1297 | if case=="Symbol": |
| 1298 | c0_res,c1_res=case0,case1 |
| 1299 | subs="{" |
| 1300 | if case0=="Symbol": |
| 1301 | text+=mkText("array","s0",a_0,a1_0) |
| 1302 | subs+="arg0:s0" |
| 1303 | c0_res="array" |
| 1304 | if case1=="Symbol": |
| 1305 | text+=mkText("array","s1",a_1,a1_1) |
| 1306 | if not subs.endswith("{"): subs+="," |
| 1307 | subs+="arg1:s1" |
| 1308 | c1_res="array" |
| 1309 | subs+="}" |
| 1310 | text+=" sub=res.substitute(%s)\n"%subs |
| 1311 | res="sub" |
| 1312 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
| 1313 | else: |
| 1314 | res="res" |
| 1315 | text+=mkText(case,"ref",r,r1) |
| 1316 | if len(sh0)>len(sh1): |
| 1317 | text+=mkTypeAndShapeTest(case,sh0,"res") |
| 1318 | else: |
| 1319 | text+=mkTypeAndShapeTest(case,sh1,"res") |
| 1320 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1321 | |
| 1322 | if case0 == "taggedData" or case1 == "taggedData": |
| 1323 | t_prog_with_tags+=text |
| 1324 | else: |
| 1325 | t_prog+=text |
| 1326 | |
| 1327 | print test_header |
| 1328 | # print t_prog |
| 1329 | print t_prog_with_tags |
| 1330 | print test_tail |
| 1331 | 1/0 |
| 1332 | |
| 1333 | |
| 1334 | #======================================================================================================= |
| 1335 | # outer inner |
| 1336 | #======================================================================================================= |
| 1337 | oper=["outer",outerTEST] |
| 1338 | # oper=["inner",innerTEST] |
| 1339 | for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 1340 | for sh1 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 1341 | for case1 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 1342 | for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 1343 | if (len(sh0)==0 or not case0=="float") and (len(sh1)==0 or not case1=="float") \ |
| 1344 | and len(sh0+sh1)<5: |
| 1345 | use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData" |
| 1346 | |
| 1347 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1348 | tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1)) |
| 1349 | text+=" def %s(self):\n"%tname |
| 1350 | a_0=makeArray(sh0,[-1.,1]) |
| 1351 | if case0 in ["taggedData", "expandedData"]: |
| 1352 | a1_0=makeArray(sh0,[-1.,1]) |
| 1353 | else: |
| 1354 | a1_0=a_0 |
| 1355 | |
| 1356 | a_1=makeArray(sh1,[-1.,1]) |
| 1357 | if case1 in ["taggedData", "expandedData"]: |
| 1358 | a1_1=makeArray(sh1,[-1.,1]) |
| 1359 | else: |
| 1360 | a1_1=a_1 |
| 1361 | r=oper[1](a_0,a_1) |
| 1362 | r1=oper[1](a1_0,a1_1) |
| 1363 | text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data) |
| 1364 | text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data) |
| 1365 | text+=" res=%s(arg0,arg1)\n"%oper[0] |
| 1366 | case=getResultCaseForBin(case0,case1) |
| 1367 | if case=="Symbol": |
| 1368 | c0_res,c1_res=case0,case1 |
| 1369 | subs="{" |
| 1370 | if case0=="Symbol": |
| 1371 | text+=mkText("array","s0",a_0,a1_0) |
| 1372 | subs+="arg0:s0" |
| 1373 | c0_res="array" |
| 1374 | if case1=="Symbol": |
| 1375 | text+=mkText("array","s1",a_1,a1_1) |
| 1376 | if not subs.endswith("{"): subs+="," |
| 1377 | subs+="arg1:s1" |
| 1378 | c1_res="array" |
| 1379 | subs+="}" |
| 1380 | text+=" sub=res.substitute(%s)\n"%subs |
| 1381 | res="sub" |
| 1382 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
| 1383 | else: |
| 1384 | res="res" |
| 1385 | text+=mkText(case,"ref",r,r1) |
| 1386 | text+=mkTypeAndShapeTest(case,sh0+sh1,"res") |
| 1387 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1388 | |
| 1389 | if case0 == "taggedData" or case1 == "taggedData": |
| 1390 | t_prog_with_tags+=text |
| 1391 | else: |
| 1392 | t_prog+=text |
| 1393 | |
| 1394 | print test_header |
| 1395 | # print t_prog |
| 1396 | print t_prog_with_tags |
| 1397 | print test_tail |
| 1398 | 1/0 |
| 1399 | |
| 1400 | #======================================================================================================= |
| 1401 | # local reduction |
| 1402 | #======================================================================================================= |
| 1403 | for oper in [["length",0.,"out+%a1%**2","math.sqrt(out)"], |
| 1404 | ["maxval",-1.e99,"max(out,%a1%)","out"], |
| 1405 | ["minval",1.e99,"min(out,%a1%)","out"] ]: |
| 1406 | for case in case_set: |
| 1407 | for sh in shape_set: |
| 1408 | if not case=="float" or len(sh)==0: |
| 1409 | text="" |
| 1410 | text+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1411 | tname="def test_%s_%s_rank%s"%(oper[0],case,len(sh)) |
| 1412 | text+=" %s(self):\n"%tname |
| 1413 | a=makeArray(sh,[-1.,1.]) |
| 1414 | a1=makeArray(sh,[-1.,1.]) |
| 1415 | r1=testReduce(a1,oper[1],oper[2],oper[3]) |
| 1416 | r=testReduce(a,oper[1],oper[2],oper[3]) |
| 1417 | |
| 1418 | text+=mkText(case,"arg",a,a1) |
| 1419 | text+=" res=%s(arg)\n"%oper[0] |
| 1420 | if case=="Symbol": |
| 1421 | text+=mkText("array","s",a,a1) |
| 1422 | text+=" sub=res.substitute({arg:s})\n" |
| 1423 | text+=mkText("array","ref",r,r1) |
| 1424 | res="sub" |
| 1425 | else: |
| 1426 | text+=mkText(case,"ref",r,r1) |
| 1427 | res="res" |
| 1428 | if oper[0]=="length": |
| 1429 | text+=mkTypeAndShapeTest(case,(),"res") |
| 1430 | else: |
| 1431 | if case=="float" or case=="array": |
| 1432 | text+=mkTypeAndShapeTest("float",(),"res") |
| 1433 | else: |
| 1434 | text+=mkTypeAndShapeTest(case,(),"res") |
| 1435 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1436 | if case == "taggedData": |
| 1437 | t_prog_with_tags+=text |
| 1438 | else: |
| 1439 | t_prog+=text |
| 1440 | print test_header |
| 1441 | # print t_prog |
| 1442 | print t_prog_with_tags |
| 1443 | print test_tail |
| 1444 | 1/0 |
| 1445 | |
| 1446 | #======================================================================================================= |
| 1447 | # tensor multiply |
| 1448 | #======================================================================================================= |
| 1449 | # oper=["generalTensorProduct",tensorProductTest] |
| 1450 | # oper=["matrixmult",testMatrixMult] |
| 1451 | oper=["tensormult",testTensorMult] |
| 1452 | |
| 1453 | for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 1454 | for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 1455 | for case1 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 1456 | for sh1 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 1457 | for sh_s in [ (),(3,), (2,3), (2,4,3),(4,2,3,2)]: |
| 1458 | if (len(sh0+sh_s)==0 or not case0=="float") and (len(sh1+sh_s)==0 or not case1=="float") \ |
| 1459 | and len(sh0+sh1)<5 and len(sh0+sh_s)<5 and len(sh1+sh_s)<5: |
| 1460 | # 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 |
| 1461 | 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 |
| 1462 | case=getResultCaseForBin(case0,case1) |
| 1463 | use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData" |
| 1464 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1465 | # tname="test_generalTensorProduct_%s_rank%s_%s_rank%s_offset%s"%(case0,len(sh0+sh_s),case1,len(sh_s+sh1),len(sh_s)) |
| 1466 | #tname="test_matrixmult_%s_rank%s_%s_rank%s"%(case0,len(sh0+sh_s),case1,len(sh_s+sh1)) |
| 1467 | tname="test_tensormult_%s_rank%s_%s_rank%s"%(case0,len(sh0+sh_s),case1,len(sh_s+sh1)) |
| 1468 | # if tname=="test_generalTensorProduct_array_rank1_array_rank2_offset1": |
| 1469 | # print tnametest_generalTensorProduct_Symbol_rank1_Symbol_rank3_offset1 |
| 1470 | text+=" def %s(self):\n"%tname |
| 1471 | a_0=makeArray(sh0+sh_s,[-1.,1]) |
| 1472 | if case0 in ["taggedData", "expandedData"]: |
| 1473 | a1_0=makeArray(sh0+sh_s,[-1.,1]) |
| 1474 | else: |
| 1475 | a1_0=a_0 |
| 1476 | |
| 1477 | a_1=makeArray(sh_s+sh1,[-1.,1]) |
| 1478 | if case1 in ["taggedData", "expandedData"]: |
| 1479 | a1_1=makeArray(sh_s+sh1,[-1.,1]) |
| 1480 | else: |
| 1481 | a1_1=a_1 |
| 1482 | r=oper[1](a_0,a_1,sh_s) |
| 1483 | r1=oper[1](a1_0,a1_1,sh_s) |
| 1484 | text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data) |
| 1485 | text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data) |
| 1486 | #text+=" res=matrixmult(arg0,arg1)\n" |
| 1487 | text+=" res=tensormult(arg0,arg1)\n" |
| 1488 | #text+=" res=generalTensorProduct(arg0,arg1,offset=%s)\n"%(len(sh_s)) |
| 1489 | if case=="Symbol": |
| 1490 | c0_res,c1_res=case0,case1 |
| 1491 | subs="{" |
| 1492 | if case0=="Symbol": |
| 1493 | text+=mkText("array","s0",a_0,a1_0) |
| 1494 | subs+="arg0:s0" |
| 1495 | c0_res="array" |
| 1496 | if case1=="Symbol": |
| 1497 | text+=mkText("array","s1",a_1,a1_1) |
| 1498 | if not subs.endswith("{"): subs+="," |
| 1499 | subs+="arg1:s1" |
| 1500 | c1_res="array" |
| 1501 | subs+="}" |
| 1502 | text+=" sub=res.substitute(%s)\n"%subs |
| 1503 | res="sub" |
| 1504 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
| 1505 | else: |
| 1506 | res="res" |
| 1507 | text+=mkText(case,"ref",r,r1) |
| 1508 | text+=mkTypeAndShapeTest(case,sh0+sh1,"res") |
| 1509 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1510 | if case0 == "taggedData" or case1 == "taggedData": |
| 1511 | t_prog_with_tags+=text |
| 1512 | else: |
| 1513 | t_prog+=text |
| 1514 | print test_header |
| 1515 | # print t_prog |
| 1516 | print t_prog_with_tags |
| 1517 | print test_tail |
| 1518 | 1/0 |
| 1519 | #======================================================================================================= |
| 1520 | # basic binary operation overloading (tests only!) |
| 1521 | #======================================================================================================= |
| 1522 | oper_range=[-5.,5.] |
| 1523 | for oper in [["add" ,"+",[-5.,5.]], |
| 1524 | ["sub" ,"-",[-5.,5.]], |
| 1525 | ["mult","*",[-5.,5.]], |
| 1526 | ["div" ,"/",[-5.,5.]], |
| 1527 | ["pow" ,"**",[0.01,5.]]]: |
| 1528 | for case0 in case_set: |
| 1529 | for sh0 in shape_set: |
| 1530 | for case1 in case_set: |
| 1531 | for sh1 in shape_set: |
| 1532 | if not case0=="array" and \ |
| 1533 | (not case0=="float" or len(sh0)==0) and (not case1=="float" or len(sh1)==0) and \ |
| 1534 | (sh0==() or sh1==() or sh1==sh0) and \ |
| 1535 | not (case0 in ["float","array"] and case1 in ["float","array"]): |
| 1536 | use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData" |
| 1537 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1538 | tname="test_%s_overloaded_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1)) |
| 1539 | text+=" def %s(self):\n"%tname |
| 1540 | a_0=makeArray(sh0,oper[2]) |
| 1541 | if case0 in ["taggedData", "expandedData"]: |
| 1542 | a1_0=makeArray(sh0,oper[2]) |
| 1543 | else: |
| 1544 | a1_0=a_0 |
| 1545 | |
| 1546 | a_1=makeArray(sh1,oper[2]) |
| 1547 | if case1 in ["taggedData", "expandedData"]: |
| 1548 | a1_1=makeArray(sh1,oper[2]) |
| 1549 | else: |
| 1550 | a1_1=a_1 |
| 1551 | r1=makeResult2(a1_0,a1_1,"%a1%"+oper[1]+"%a2%") |
| 1552 | r=makeResult2(a_0,a_1,"%a1%"+oper[1]+"%a2%") |
| 1553 | text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data) |
| 1554 | text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data) |
| 1555 | text+=" res=arg0%sarg1\n"%oper[1] |
| 1556 | |
| 1557 | case=getResultCaseForBin(case0,case1) |
| 1558 | if case=="Symbol": |
| 1559 | c0_res,c1_res=case0,case1 |
| 1560 | subs="{" |
| 1561 | if case0=="Symbol": |
| 1562 | text+=mkText("array","s0",a_0,a1_0) |
| 1563 | subs+="arg0:s0" |
| 1564 | c0_res="array" |
| 1565 | if case1=="Symbol": |
| 1566 | text+=mkText("array","s1",a_1,a1_1) |
| 1567 | if not subs.endswith("{"): subs+="," |
| 1568 | subs+="arg1:s1" |
| 1569 | c1_res="array" |
| 1570 | subs+="}" |
| 1571 | text+=" sub=res.substitute(%s)\n"%subs |
| 1572 | res="sub" |
| 1573 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
| 1574 | else: |
| 1575 | res="res" |
| 1576 | text+=mkText(case,"ref",r,r1) |
| 1577 | if isinstance(r,float): |
| 1578 | text+=mkTypeAndShapeTest(case,(),"res") |
| 1579 | else: |
| 1580 | text+=mkTypeAndShapeTest(case,r.shape,"res") |
| 1581 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1582 | |
| 1583 | if case0 in [ "constData","taggedData","expandedData"] and case1 == "Symbol": |
| 1584 | t_prog_failing+=text |
| 1585 | else: |
| 1586 | if case0 == "taggedData" or case1 == "taggedData": |
| 1587 | t_prog_with_tags+=text |
| 1588 | else: |
| 1589 | t_prog+=text |
| 1590 | |
| 1591 | |
| 1592 | print test_header |
| 1593 | # print t_prog |
| 1594 | # print t_prog_with_tags |
| 1595 | print t_prog_failing |
| 1596 | print test_tail |
| 1597 | 1/0 |
| 1598 | #======================================================================================================= |
| 1599 | # basic binary operations (tests only!) |
| 1600 | #======================================================================================================= |
| 1601 | oper_range=[-5.,5.] |
| 1602 | for oper in [["add" ,"+",[-5.,5.]], |
| 1603 | ["mult","*",[-5.,5.]], |
| 1604 | ["quotient" ,"/",[-5.,5.]], |
| 1605 | ["power" ,"**",[0.01,5.]]]: |
| 1606 | for case0 in case_set: |
| 1607 | for case1 in case_set: |
| 1608 | for sh in shape_set: |
| 1609 | for sh_p in shape_set: |
| 1610 | if len(sh_p)>0: |
| 1611 | resource=[-1,1] |
| 1612 | else: |
| 1613 | resource=[1] |
| 1614 | for sh_d in resource: |
| 1615 | if sh_d>0: |
| 1616 | sh0=sh |
| 1617 | sh1=sh+sh_p |
| 1618 | else: |
| 1619 | sh1=sh |
| 1620 | sh0=sh+sh_p |
| 1621 | |
| 1622 | if (not case0=="float" or len(sh0)==0) and (not case1=="float" or len(sh1)==0) and \ |
| 1623 | len(sh0)<5 and len(sh1)<5: |
| 1624 | use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData" |
| 1625 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1626 | tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1)) |
| 1627 | text+=" def %s(self):\n"%tname |
| 1628 | a_0=makeArray(sh0,oper[2]) |
| 1629 | if case0 in ["taggedData", "expandedData"]: |
| 1630 | a1_0=makeArray(sh0,oper[2]) |
| 1631 | else: |
| 1632 | a1_0=a_0 |
| 1633 | |
| 1634 | a_1=makeArray(sh1,oper[2]) |
| 1635 | if case1 in ["taggedData", "expandedData"]: |
| 1636 | a1_1=makeArray(sh1,oper[2]) |
| 1637 | else: |
| 1638 | a1_1=a_1 |
| 1639 | r1=makeResult2(a1_0,a1_1,"%a1%"+oper[1]+"%a2%") |
| 1640 | r=makeResult2(a_0,a_1,"%a1%"+oper[1]+"%a2%") |
| 1641 | text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data) |
| 1642 | text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data) |
| 1643 | text+=" res=%s(arg0,arg1)\n"%oper[0] |
| 1644 | |
| 1645 | case=getResultCaseForBin(case0,case1) |
| 1646 | if case=="Symbol": |
| 1647 | c0_res,c1_res=case0,case1 |
| 1648 | subs="{" |
| 1649 | if case0=="Symbol": |
| 1650 | text+=mkText("array","s0",a_0,a1_0) |
| 1651 | subs+="arg0:s0" |
| 1652 | c0_res="array" |
| 1653 | if case1=="Symbol": |
| 1654 | text+=mkText("array","s1",a_1,a1_1) |
| 1655 | if not subs.endswith("{"): subs+="," |
| 1656 | subs+="arg1:s1" |
| 1657 | c1_res="array" |
| 1658 | subs+="}" |
| 1659 | text+=" sub=res.substitute(%s)\n"%subs |
| 1660 | res="sub" |
| 1661 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
| 1662 | else: |
| 1663 | res="res" |
| 1664 | text+=mkText(case,"ref",r,r1) |
| 1665 | if isinstance(r,float): |
| 1666 | text+=mkTypeAndShapeTest(case,(),"res") |
| 1667 | else: |
| 1668 | text+=mkTypeAndShapeTest(case,r.shape,"res") |
| 1669 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1670 | |
| 1671 | if case0 == "taggedData" or case1 == "taggedData": |
| 1672 | t_prog_with_tags+=text |
| 1673 | else: |
| 1674 | t_prog+=text |
| 1675 | print test_header |
| 1676 | # print t_prog |
| 1677 | print t_prog_with_tags |
| 1678 | print test_tail |
| 1679 | 1/0 |
| 1680 | |
| 1681 | # print t_prog_with_tagsoper_range=[-5.,5.] |
| 1682 | for oper in [["add" ,"+",[-5.,5.]], |
| 1683 | ["sub" ,"-",[-5.,5.]], |
| 1684 | ["mult","*",[-5.,5.]], |
| 1685 | ["div" ,"/",[-5.,5.]], |
| 1686 | ["pow" ,"**",[0.01,5.]]]: |
| 1687 | for case0 in case_set: |
| 1688 | for sh0 in shape_set: |
| 1689 | for case1 in case_set: |
| 1690 | for sh1 in shape_set: |
| 1691 | if (not case0=="float" or len(sh0)==0) and (not case1=="float" or len(sh1)==0) and \ |
| 1692 | (sh0==() or sh1==() or sh1==sh0) and \ |
| 1693 | not (case0 in ["float","array"] and case1 in ["float","array"]): |
| 1694 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1695 | tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1)) |
| 1696 | text+=" def %s(self):\n"%tname |
| 1697 | a_0=makeArray(sh0,oper[2]) |
| 1698 | if case0 in ["taggedData", "expandedData"]: |
| 1699 | a1_0=makeArray(sh0,oper[2]) |
| 1700 | else: |
| 1701 | a1_0=a_0 |
| 1702 | |
| 1703 | a_1=makeArray(sh1,oper[2]) |
| 1704 | if case1 in ["taggedData", "expandedData"]: |
| 1705 | a1_1=makeArray(sh1,oper[2]) |
| 1706 | else: |
| 1707 | a1_1=a_1 |
| 1708 | r1=makeResult2(a1_0,a1_1,"%a1%"+oper[1]+"%a2%") |
| 1709 | r=makeResult2(a_0,a_1,"%a1%"+oper[1]+"%a2%") |
| 1710 | text+=mkText(case0,"arg0",a_0,a1_0) |
| 1711 | text+=mkText(case1,"arg1",a_1,a1_1) |
| 1712 | text+=" res=arg0%sarg1\n"%oper[1] |
| 1713 | |
| 1714 | case=getResultCaseForBin(case0,case1) |
| 1715 | if case=="Symbol": |
| 1716 | c0_res,c1_res=case0,case1 |
| 1717 | subs="{" |
| 1718 | if case0=="Symbol": |
| 1719 | text+=mkText("array","s0",a_0,a1_0) |
| 1720 | subs+="arg0:s0" |
| 1721 | c0_res="array" |
| 1722 | if case1=="Symbol": |
| 1723 | text+=mkText("array","s1",a_1,a1_1) |
| 1724 | if not subs.endswith("{"): subs+="," |
| 1725 | subs+="arg1:s1" |
| 1726 | c1_res="array" |
| 1727 | subs+="}" |
| 1728 | text+=" sub=res.substitute(%s)\n"%subs |
| 1729 | res="sub" |
| 1730 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
| 1731 | else: |
| 1732 | res="res" |
| 1733 | text+=mkText(case,"ref",r,r1) |
| 1734 | if isinstance(r,float): |
| 1735 | text+=mkTypeAndShapeTest(case,(),"res") |
| 1736 | else: |
| 1737 | text+=mkTypeAndShapeTest(case,r.shape,"res") |
| 1738 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1739 | |
| 1740 | if case0 in [ "constData","taggedData","expandedData"] and case1 == "Symbol": |
| 1741 | t_prog_failing+=text |
| 1742 | else: |
| 1743 | if case0 == "taggedData" or case1 == "taggedData": |
| 1744 | t_prog_with_tags+=text |
| 1745 | else: |
| 1746 | t_prog+=text |
| 1747 | |
| 1748 | |
| 1749 | # print u_prog |
| 1750 | # 1/0 |
| 1751 | print test_header |
| 1752 | print t_prog |
| 1753 | # print t_prog_with_tags |
| 1754 | # print t_prog_failing |
| 1755 | print test_tail |
| 1756 | # print t_prog_failing |
| 1757 | print test_tail |
| 1758 | |
| 1759 | #======================================================================================================= |
| 1760 | # unary operations: |
| 1761 | #======================================================================================================= |
| 1762 | func= [ |
| 1763 | OPERATOR(nickname="log10",\ |
| 1764 | rng=[1.e-3,100.],\ |
| 1765 | test_expr="math.log10(%a1%)",\ |
| 1766 | math_expr="math.log10(%a1%)",\ |
| 1767 | numarray_expr="numarray.log10(%a1%)",\ |
| 1768 | symbol_expr="log(%a1%)/log(10.)",\ |
| 1769 | name="base-10 logarithm"), |
| 1770 | OPERATOR(nickname="wherePositive",\ |
| 1771 | rng=[-100.,100.],\ |
| 1772 | test_expr="wherepos(%a1%)",\ |
| 1773 | math_expr="if arg>0:\n return 1.\nelse:\n return 0.", |
| 1774 | numarray_expr="numarray.greater(arg,numarray.zeros(arg.shape,numarray.Float))",\ |
| 1775 | name="mask of positive values"), |
| 1776 | OPERATOR(nickname="whereNegative",\ |
| 1777 | rng=[-100.,100.],\ |
| 1778 | test_expr="wherepos(-%a1%)",\ |
| 1779 | math_expr="if arg<0:\n return 1.\nelse:\n return 0.", |
| 1780 | numarray_expr="numarray.less(arg,numarray.zeros(arg.shape,numarray.Float))",\ |
| 1781 | name="mask of positive values"), |
| 1782 | OPERATOR(nickname="whereNonNegative",\ |
| 1783 | rng=[-100.,100.],\ |
| 1784 | test_expr="1-wherepos(-%a1%)", \ |
| 1785 | math_expr="if arg<0:\n return 0.\nelse:\n return 1.", |
| 1786 | numarray_expr="numarray.greater_equal(arg,numarray.zeros(arg.shape,numarray.Float))",\ |
| 1787 | symbol_expr="1-wherePositive(%a1%)",\ |
| 1788 | name="mask of non-negative values"), |
| 1789 | OPERATOR(nickname="whereNonPositive",\ |
| 1790 | rng=[-100.,100.],\ |
| 1791 | test_expr="1-wherepos(%a1%)",\ |
| 1792 | math_expr="if arg>0:\n return 0.\nelse:\n return 1.", |
| 1793 | numarray_expr="numarray.less_equal(arg,numarray.zeros(arg.shape,numarray.Float))",\ |
| 1794 | symbol_expr="1-whereNegative(%a1%)",\ |
| 1795 | name="mask of non-positive values"), |
| 1796 | OPERATOR(nickname="whereZero",\ |
| 1797 | rng=[-100.,100.],\ |
| 1798 | test_expr="1-wherepos(%a1%)-wherepos(-%a1%)",\ |
| 1799 | math_expr="if abs(%a1%)<=tol:\n return 1.\nelse:\n return 0.", |
| 1800 | numarray_expr="numarray.less_equal(abs(%a1%)-tol,numarray.zeros(arg.shape,numarray.Float))",\ |
| 1801 | name="mask of zero entries"), |
| 1802 | OPERATOR(nickname="whereNonZero",\ |
| 1803 | rng=[-100.,100.],\ |
| 1804 | test_expr="wherepos(%a1%)+wherepos(-%a1%)",\ |
| 1805 | math_expr="if abs(%a1%)>tol:\n return 1.\nelse:\n return 0.",\ |
| 1806 | numarray_expr="numarray.greater(abs(%a1%)-tol,numarray.zeros(arg.shape,numarray.Float))",\ |
| 1807 | symbol_expr="1-whereZero(arg,tol)",\ |
| 1808 | name="mask of values different from zero"), |
| 1809 | OPERATOR(nickname="sin",\ |
| 1810 | rng=[-100.,100.],\ |
| 1811 | test_expr="math.sin(%a1%)", |
| 1812 | numarray_expr="numarray.sin(%a1%)",\ |
| 1813 | diff="cos(%a1%)",\ |
| 1814 | name="sine"), |
| 1815 | OPERATOR(nickname="cos",\ |
| 1816 | rng=[-100.,100.],\ |
| 1817 | test_expr="math.cos(%a1%)", |
| 1818 | numarray_expr="numarray.cos(%a1%)",\ |
| 1819 | diff="-sin(%a1%)", |
| 1820 | name="cosine"), |
| 1821 | OPERATOR(nickname="tan",\ |
| 1822 | rng=[-100.,100.],\ |
| 1823 | test_expr="math.tan(%a1%)", |
| 1824 | numarray_expr="numarray.tan(%a1%)",\ |
| 1825 | diff="1./cos(%a1%)**2", |
| 1826 | name="tangent"), |
| 1827 | OPERATOR(nickname="asin",\ |
| 1828 | rng=[-0.99,0.99],\ |
| 1829 | test_expr="math.asin(%a1%)", |
| 1830 | numarray_expr="numarray.arcsin(%a1%)", |
| 1831 | diff="1./sqrt(1.-%a1%**2)", |
| 1832 | name="inverse sine"), |
| 1833 | OPERATOR(nickname="acos",\ |
| 1834 | rng=[-0.99,0.99],\ |
| 1835 | test_expr="math.acos(%a1%)", |
| 1836 | numarray_expr="numarray.arccos(%a1%)", |
| 1837 | diff="-1./sqrt(1.-%a1%**2)", |
| 1838 | name="inverse cosine"), |
| 1839 | OPERATOR(nickname="atan",\ |
| 1840 | rng=[-100.,100.],\ |
| 1841 | test_expr="math.atan(%a1%)", |
| 1842 | numarray_expr="numarray.arctan(%a1%)", |
| 1843 | diff="1./(1+%a1%**2)", |
| 1844 | name="inverse tangent"), |
| 1845 | OPERATOR(nickname="sinh",\ |
| 1846 | rng=[-5,5],\ |
| 1847 | test_expr="math.sinh(%a1%)", |
| 1848 | numarray_expr="numarray.sinh(%a1%)", |
| 1849 | diff="cosh(%a1%)", |
| 1850 | name="hyperbolic sine"), |
| 1851 | OPERATOR(nickname="cosh",\ |
| 1852 | rng=[-5.,5.], |
| 1853 | test_expr="math.cosh(%a1%)", |
| 1854 | numarray_expr="numarray.cosh(%a1%)", |
| 1855 | diff="sinh(%a1%)", |
| 1856 | name="hyperbolic cosine"), |
| 1857 | OPERATOR(nickname="tanh",\ |
| 1858 | rng=[-5.,5.], |
| 1859 | test_expr="math.tanh(%a1%)", |
| 1860 | numarray_expr="numarray.tanh(%a1%)", |
| 1861 | diff="1./cosh(%a1%)**2", |
| 1862 | name="hyperbolic tangent"), |
| 1863 | OPERATOR(nickname="asinh",\ |
| 1864 | rng=[-100.,100.], \ |
| 1865 | test_expr="numarray.arcsinh(%a1%)", |
| 1866 | math_expr="numarray.arcsinh(%a1%)", |
| 1867 | numarray_expr="numarray.arcsinh(%a1%)", |
| 1868 | diff="1./sqrt(%a1%**2+1)", |
| 1869 | name="inverse hyperbolic sine"), |
| 1870 | OPERATOR(nickname="acosh",\ |
| 1871 | rng=[1.001,100.],\ |
| 1872 | test_expr="numarray.arccosh(%a1%)", |
| 1873 | math_expr="numarray.arccosh(%a1%)", |
| 1874 | numarray_expr="numarray.arccosh(%a1%)", |
| 1875 | diff="1./sqrt(%a1%**2-1)", |
| 1876 | name="inverse hyperolic cosine"), |
| 1877 | OPERATOR(nickname="atanh",\ |
| 1878 | rng=[-0.99,0.99], \ |
| 1879 | test_expr="numarray.arctanh(%a1%)", |
| 1880 | math_expr="numarray.arctanh(%a1%)", |
| 1881 | numarray_expr="numarray.arctanh(%a1%)", |
| 1882 | diff="1./(1.-%a1%**2)", |
| 1883 | name="inverse hyperbolic tangent"), |
| 1884 | OPERATOR(nickname="exp",\ |
| 1885 | rng=[-5.,5.], |
| 1886 | test_expr="math.exp(%a1%)", |
| 1887 | numarray_expr="numarray.exp(%a1%)", |
| 1888 | diff="self", |
| 1889 | name="exponential"), |
| 1890 | OPERATOR(nickname="sqrt",\ |
| 1891 | rng=[1.e-3,100.],\ |
| 1892 | test_expr="math.sqrt(%a1%)", |
| 1893 | numarray_expr="numarray.sqrt(%a1%)", |
| 1894 | diff="0.5/self", |
| 1895 | name="square root"), |
| 1896 | OPERATOR(nickname="log", \ |
| 1897 | rng=[1.e-3,100.],\ |
| 1898 | test_expr="math.log(%a1%)", |
| 1899 | numarray_expr="numarray.log(%a1%)", |
| 1900 | diff="1./arg", |
| 1901 | name="natural logarithm"), |
| 1902 | OPERATOR(nickname="sign",\ |
| 1903 | rng=[-100.,100.], \ |
| 1904 | math_expr="if %a1%>0:\n return 1.\nelif %a1%<0:\n return -1.\nelse:\n return 0.", |
| 1905 | test_expr="wherepos(%a1%)-wherepos(-%a1%)", |
| 1906 | numarray_expr="numarray.sign(%a1%)", |
| 1907 | symbol_expr="wherePositive(%a1%)-whereNegative(%a1%)",\ |
| 1908 | name="sign"), |
| 1909 | OPERATOR(nickname="abs",\ |
| 1910 | rng=[-100.,100.], \ |
| 1911 | math_expr="if %a1%>0:\n return %a1% \nelif %a1%<0:\n return -(%a1%)\nelse:\n return 0.", |
| 1912 | test_expr="wherepos(%a1%)*(%a1%)-wherepos(-%a1%)*(%a1%)", |
| 1913 | numarray_expr="abs(%a1%)", |
| 1914 | diff="sign(%a1%)", |
| 1915 | name="absolute value") |
| 1916 | |
| 1917 | ] |
| 1918 | for f in func: |
| 1919 | symbol_name=f.nickname[0].upper()+f.nickname[1:] |
| 1920 | if f.nickname!="abs": |
| 1921 | u_prog+="def %s(arg):\n"%f.nickname |
| 1922 | u_prog+=" \"\"\"\n" |
| 1923 | u_prog+=" returns %s of argument arg\n\n"%f.name |
| 1924 | u_prog+=" @param arg: argument\n" |
| 1925 | u_prog+=" @type arg: C{float}, L{escript.Data}, L{Symbol}, L{numarray.NumArray}.\n" |
| 1926 | u_prog+=" @rtype:C{float}, L{escript.Data}, L{Symbol}, L{numarray.NumArray} depending on the type of arg.\n" |
| 1927 | u_prog+=" @raises TypeError: if the type of the argument is not expected.\n" |
| 1928 | u_prog+=" \"\"\"\n" |
| 1929 | u_prog+=" if isinstance(arg,numarray.NumArray):\n" |
| 1930 | u_prog+=mkCode(f.numarray_expr,["arg"],2*" ") |
| 1931 | u_prog+=" elif isinstance(arg,escript.Data):\n" |
| 1932 | u_prog+=mkCode("arg._%s()"%f.nickname,[],2*" ") |
| 1933 | u_prog+=" elif isinstance(arg,float):\n" |
| 1934 | u_prog+=mkCode(f.math_expr,["arg"],2*" ") |
| 1935 | u_prog+=" elif isinstance(arg,int):\n" |
| 1936 | u_prog+=mkCode(f.math_expr,["float(arg)"],2*" ") |
| 1937 | u_prog+=" elif isinstance(arg,Symbol):\n" |
| 1938 | if f.symbol_expr==None: |
| 1939 | u_prog+=mkCode("%s_Symbol(arg)"%symbol_name,[],2*" ") |
| 1940 | else: |
| 1941 | u_prog+=mkCode(f.symbol_expr,["arg"],2*" ") |
| 1942 | u_prog+=" else:\n" |
| 1943 | u_prog+=" raise TypeError,\"%s: Unknown argument type.\"\n\n"%f.nickname |
| 1944 | if f.symbol_expr==None: |
| 1945 | u_prog+="class %s_Symbol(DependendSymbol):\n"%symbol_name |
| 1946 | u_prog+=" \"\"\"\n" |
| 1947 | u_prog+=" L{Symbol} representing the result of the %s function\n"%f.name |
| 1948 | u_prog+=" \"\"\"\n" |
| 1949 | u_prog+=" def __init__(self,arg):\n" |
| 1950 | u_prog+=" \"\"\"\n" |
| 1951 | u_prog+=" initialization of %s L{Symbol} with argument arg\n"%f.nickname |
| 1952 | u_prog+=" @param arg: argument of function\n" |
| 1953 | u_prog+=" @type arg: typically L{Symbol}.\n" |
| 1954 | u_prog+=" \"\"\"\n" |
| 1955 | u_prog+=" DependendSymbol.__init__(self,args=[arg],shape=arg.getShape(),dim=arg.getDim())\n" |
| 1956 | u_prog+="\n" |
| 1957 | |
| 1958 | u_prog+=" def getMyCode(self,argstrs,format=\"escript\"):\n" |
| 1959 | u_prog+=" \"\"\"\n" |
| 1960 | u_prog+=" returns a program code that can be used to evaluate the symbol.\n\n" |
| 1961 | |
| 1962 | u_prog+=" @param argstrs: gives for each argument a string representing the argument for the evaluation.\n" |
| 1963 | u_prog+=" @type argstrs: C{str} or a C{list} of length 1 of C{str}.\n" |
| 1964 | u_prog+=" @param format: specifies the format to be used. At the moment only \"escript\" ,\"text\" and \"str\" are supported.\n" |
| 1965 | u_prog+=" @type format: C{str}\n" |
| 1966 | u_prog+=" @return: a piece of program code which can be used to evaluate the expression assuming the values for the arguments are available.\n" |
| 1967 | u_prog+=" @rtype: C{str}\n" |
| 1968 | u_prog+=" @raise: NotImplementedError: if the requested format is not available\n" |
| 1969 | u_prog+=" \"\"\"\n" |
| 1970 | u_prog+=" if isinstance(argstrs,list):\n" |
| 1971 | u_prog+=" argstrs=argstrs[0]\n" |
| 1972 | u_prog+=" if format==\"escript\" or format==\"str\" or format==\"text\":\n" |
| 1973 | u_prog+=" return \"%s(%%s)\"%%argstrs\n"%f.nickname |
| 1974 | u_prog+=" else:\n" |
| 1975 | u_prog+=" raise NotImplementedError,\"%s_Symbol does not provide program code for format %%s.\"%%format\n"%symbol_name |
| 1976 | u_prog+="\n" |
| 1977 | |
| 1978 | u_prog+=" def substitute(self,argvals):\n" |
| 1979 | u_prog+=" \"\"\"\n" |
| 1980 | u_prog+=" assigns new values to symbols in the definition of the symbol.\n" |
| 1981 | u_prog+=" The method replaces the L{Symbol} u by argvals[u] in the expression defining this object.\n" |
| 1982 | u_prog+="\n" |
| 1983 | u_prog+=" @param argvals: new values assigned to symbols\n" |
| 1984 | u_prog+=" @type argvals: C{dict} with keywords of type L{Symbol}.\n" |
| 1985 | u_prog+=" @return: result of the substitution process. Operations are executed as much as possible.\n" |
| 1986 | u_prog+=" @rtype: L{escript.Symbol}, C{float}, L{escript.Data}, L{numarray.NumArray} depending on the degree of substitution\n" |
| 1987 | u_prog+=" @raise TypeError: if a value for a L{Symbol} cannot be substituted.\n" |
| 1988 | u_prog+=" \"\"\"\n" |
| 1989 | u_prog+=" if argvals.has_key(self):\n" |
| 1990 | u_prog+=" arg=argvals[self]\n" |
| 1991 | u_prog+=" if self.isAppropriateValue(arg):\n" |
| 1992 | u_prog+=" return arg\n" |
| 1993 | u_prog+=" else:\n" |
| 1994 | u_prog+=" raise TypeError,\"%s: new value is not appropriate.\"%str(self)\n" |
| 1995 | u_prog+=" else:\n" |
| 1996 | u_prog+=" arg=self.getSubstitutedArguments(argvals)[0]\n" |
| 1997 | u_prog+=" return %s(arg)\n\n"%f.nickname |
| 1998 | if not f.diff==None: |
| 1999 | u_prog+=" def diff(self,arg):\n" |
| 2000 | u_prog+=" \"\"\"\n" |
| 2001 | u_prog+=" differential of this object\n" |
| 2002 | u_prog+="\n" |
| 2003 | u_prog+=" @param arg: the derivative is calculated with respect to arg\n" |
| 2004 | u_prog+=" @type arg: L{escript.Symbol}\n" |
| 2005 | u_prog+=" @return: derivative with respect to C{arg}\n" |
| 2006 | u_prog+=" @rtype: typically L{Symbol} but other types such as C{float}, L{escript.Data}, L{numarray.NumArray} are possible.\n" |
| 2007 | u_prog+=" \"\"\"\n" |
| 2008 | u_prog+=" if arg==self:\n" |
| 2009 | u_prog+=" return identity(self.getShape())\n" |
| 2010 | u_prog+=" else:\n" |
| 2011 | u_prog+=" myarg=self.getArgument()[0]\n" |
| 2012 | u_prog+=" val=matchShape(%s,self.getDifferentiatedArguments(arg)[0])\n"%f.diff.replace("%a1%","myarg") |
| 2013 | u_prog+=" return val[0]*val[1]\n\n" |
| 2014 | |
| 2015 | for case in case_set: |
| 2016 | for sh in shape_set: |
| 2017 | if not case=="float" or len(sh)==0: |
| 2018 | text="" |
| 2019 | text+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 2020 | tname="def test_%s_%s_rank%s"%(f.nickname,case,len(sh)) |
| 2021 | text+=" %s(self):\n"%tname |
| 2022 | a=makeArray(sh,f.rng) |
| 2023 | a1=makeArray(sh,f.rng) |
| 2024 | r1=makeResult(a1,f.test_expr) |
| 2025 | r=makeResult(a,f.test_expr) |
| 2026 | |
| 2027 | text+=mkText(case,"arg",a,a1) |
| 2028 | text+=" res=%s(arg)\n"%f.nickname |
| 2029 | if case=="Symbol": |
| 2030 | text+=mkText("array","s",a,a1) |
| 2031 | text+=" sub=res.substitute({arg:s})\n" |
| 2032 | text+=mkText("array","ref",r,r1) |
| 2033 | res="sub" |
| 2034 | else: |
| 2035 | text+=mkText(case,"ref",r,r1) |
| 2036 | res="res" |
| 2037 | text+=mkTypeAndShapeTest(case,sh,"res") |
| 2038 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 2039 | if case == "taggedData": |
| 2040 | t_prog_with_tags+=text |
| 2041 | else: |
| 2042 | t_prog+=text |
| 2043 | |
| 2044 | #=========== END OF GOOD CODE +++++++++++++++++++++++++++ |
| 2045 | |
| 2046 | 1/0 |
| 2047 | |
| 2048 | def X(): |
| 2049 | if args=="float": |
| 2050 | a=makeArray(sh,f[RANGE]) |
| 2051 | r=makeResult(a,f) |
| 2052 | t_prog+=" arg=%s\n"%a[0] |
| 2053 | t_prog+=" ref=%s\n"%r[0] |
| 2054 | t_prog+=" res=%s(%a1%)\n"%f.nickname |
| 2055 | t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n" |
| 2056 | t_prog+=" self.failUnless(Lsup(res-ref)<=self.tol*Lsup(ref),\"wrong result\")\n" |
| 2057 | elif args == "array": |
| 2058 | a=makeArray(sh,f[RANGE]) |
| 2059 | r=makeResult(a,f) |
| 2060 | if len(sh)==0: |
| 2061 | t_prog+=" arg=numarray.array(%s)\n"%a[0] |
| 2062 | t_prog+=" ref=numarray.array(%s)\n"%r[0] |
| 2063 | else: |
| 2064 | t_prog+=" arg=numarray.array(%s)\n"%a.tolist() |
| 2065 | t_prog+=" ref=numarray.array(%s)\n"%r.tolist() |
| 2066 | t_prog+=" res=%s(%a1%)\n"%f.nickname |
| 2067 | t_prog+=" self.failUnlessEqual(res.shape,%s,\"wrong shape of result.\")\n"%str(sh) |
| 2068 | t_prog+=" self.failUnless(Lsup(res-ref)<=self.tol*Lsup(ref),\"wrong result\")\n" |
| 2069 | elif args== "constData": |
| 2070 | a=makeArray(sh,f[RANGE]) |
| 2071 | r=makeResult(a,f) |
| 2072 | if len(sh)==0: |
| 2073 | t_prog+=" arg=Data(%s,self.functionspace)\n"%(a) |
| 2074 | t_prog+=" ref=%s\n"%r |
| 2075 | else: |
| 2076 | t_prog+=" arg=Data(numarray.array(%s),self.functionspace)\n"%(a.tolist()) |
| 2077 | t_prog+=" ref=numarray.array(%s)\n"%r.tolist() |
| 2078 | t_prog+=" res=%s(%a1%)\n"%f.nickname |
| 2079 | t_prog+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh) |
| 2080 | t_prog+=" self.failUnless(Lsup(res-ref)<=self.tol*Lsup(ref),\"wrong result\")\n" |
| 2081 | elif args in [ "taggedData","expandedData"]: |
| 2082 | a=makeArray(sh,f[RANGE]) |
| 2083 | r=makeResult(a,f) |
| 2084 | a1=makeArray(sh,f[RANGE]) |
| 2085 | r1=makeResult(a1,f) |
| 2086 | if len(sh)==0: |
| 2087 | if args=="expandedData": |
| 2088 | t_prog+=" arg=Data(%s,self.functionspace,True)\n"%(a) |
| 2089 | t_prog+=" ref=Data(%s,self.functionspace,True)\n"%(r) |
| 2090 | else: |
| 2091 | t_prog+=" arg=Data(%s,self.functionspace)\n"%(a) |
| 2092 | t_prog+=" ref=Data(%s,self.functionspace)\n"%(r) |
| 2093 | t_prog+=" arg.setTaggedValue(1,%s)\n"%a |
| 2094 | t_prog+=" ref.setTaggedValue(1,%s)\n"%r1 |
| 2095 | else: |
| 2096 | if args=="expandedData": |
| 2097 | t_prog+=" arg=Data(numarray.array(%s),self.functionspace,True)\n"%(a.tolist()) |
| 2098 | t_prog+=" ref=Data(numarray.array(%s),self.functionspace,True)\n"%(r.tolist()) |
| 2099 | else: |
| 2100 | t_prog+=" arg=Data(numarray.array(%s),self.functionspace)\n"%(a.tolist()) |
| 2101 | t_prog+=" ref=Data(numarray.array(%s),self.functionspace)\n"%(r.tolist()) |
| 2102 | t_prog+=" arg.setTaggedValue(1,%s)\n"%a1.tolist() |
| 2103 | t_prog+=" ref.setTaggedValue(1,%s)\n"%r1.tolist() |
| 2104 | t_prog+=" res=%s(%a1%)\n"%f.nickname |
| 2105 | t_prog+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh) |
| 2106 | t_prog+=" self.failUnless(Lsup(res-ref)<=self.tol*Lsup(ref),\"wrong result\")\n" |
| 2107 | elif args=="Symbol": |
| 2108 | t_prog+=" arg=Symbol(shape=%s)\n"%str(sh) |
| 2109 | t_prog+=" v=%s(%a1%)\n"%f.nickname |
| 2110 | t_prog+=" self.failUnlessRaises(ValueError,v.substitute,Symbol(shape=(1,1)),\"illegal shape of substitute not identified.\")\n" |
| 2111 | a=makeArray(sh,f[RANGE]) |
| 2112 | r=makeResult(a,f) |
| 2113 | if len(sh)==0: |
| 2114 | t_prog+=" res=v.substitute({arg : %s})\n"%a |
| 2115 | t_prog+=" ref=%s\n"%r |
| 2116 | t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n" |
| 2117 | else: |
| 2118 | t_prog+=" res=v.substitute({arg : numarray.array(%s)})\n"%a.tolist() |
| 2119 | t_prog+=" ref=numarray.array(%s)\n"%r.tolist() |
| 2120 | t_prog+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of substitution result.\")\n"%str(sh) |
| 2121 | t_prog+=" self.failUnless(Lsup(res-ref)<=self.tol*Lsup(ref),\"wrong result\")\n" |
| 2122 | |
| 2123 | if len(sh)==0: |
| 2124 | t_prog+=" # test derivative with respect to itself:\n" |
| 2125 | t_prog+=" dvdv=v.diff(v)\n" |
| 2126 | t_prog+=" self.failUnlessEqual(dvdv,1.,\"derivative with respect to self is not 1.\")\n" |
| 2127 | elif len(sh)==1: |
| 2128 | t_prog+=" # test derivative with respect to itself:\n" |
| 2129 | t_prog+=" dvdv=v.diff(v)\n" |
| 2130 | t_prog+=" self.failUnlessEqual(dvdv.shape,%s,\"shape of derivative with respect is wrong\")\n"%str(sh+sh) |
| 2131 | for i0_l in range(sh[0]): |
| 2132 | for i0_r in range(sh[0]): |
| 2133 | if i0_l == i0_r: |
| 2134 | v=1. |
| 2135 | else: |
| 2136 | v=0. |
| 2137 | t_prog+=" self.failUnlessEqual(dvdv[%s,%s],%s,\"derivative with respect to self: [%s,%s] is not %s\")\n"%(i0_l,i0_r,v,i0_l,i0_r,v) |
| 2138 | elif len(sh)==2: |
| 2139 | t_prog+=" # test derivative with respect to itself:\n" |
| 2140 | t_prog+=" dvdv=v.diff(v)\n" |
| 2141 | t_prog+=" self.failUnlessEqual(dvdv.shape,%s,\"shape of derivative with respect is wrong\")\n"%str(sh+sh) |
| 2142 | for i0_l in range(sh[0]): |
| 2143 | for i0_r in range(sh[0]): |
| 2144 | for i1_l in range(sh[1]): |
| 2145 | for i1_r in range(sh[1]): |
| 2146 | if i0_l == i0_r and i1_l == i1_r: |
| 2147 | v=1. |
| 2148 | else: |
| 2149 | v=0. |
| 2150 | t_prog+=" self.failUnlessEqual(dvdv[%s,%s,%s,%s],%s,\"derivative with respect to self: [%s,%s,%s,%s] is not %s\")\n"%(i0_l,i1_l,i0_r,i1_r,v,i0_l,i1_l,i0_r,i1_r,v) |
| 2151 | |
| 2152 | for sh_in in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 2153 | if len(sh_in)+len(sh)<=4: |
| 2154 | |
| 2155 | t_prog+=" # test derivative with shape %s as argument\n"%str(sh_in) |
| 2156 | trafo=makeArray(sh+sh_in,[0,1.]) |
| 2157 | a_in=makeArray(sh_in,f[RANGE]) |
| 2158 | t_prog+=" arg_in=Symbol(shape=%s)\n"%str(sh_in) |
| 2159 | t_prog+=" arg2=Symbol(shape=%s)\n"%str(sh) |
| 2160 | |
| 2161 | if len(sh)==0: |
| 2162 | t_prog+=" arg2=" |
| 2163 | if len(sh_in)==0: |
| 2164 | t_prog+="%s*arg_in\n"%trafo |
| 2165 | elif len(sh_in)==1: |
| 2166 | for i0 in range(sh_in[0]): |
| 2167 | if i0>0: t_prog+="+" |
| 2168 | t_prog+="%s*arg_in[%s]"%(trafo[i0],i0) |
| 2169 | t_prog+="\n" |
| 2170 | elif len(sh_in)==2: |
| 2171 | for i0 in range(sh_in[0]): |
| 2172 | for i1 in range(sh_in[1]): |
| 2173 | if i0+i1>0: t_prog+="+" |
| 2174 | t_prog+="%s*arg_in[%s,%s]"%(trafo[i0,i1],i0,i1) |
| 2175 | |
| 2176 | elif len(sh_in)==3: |
| 2177 | for i0 in range(sh_in[0]): |
| 2178 | for i1 in range(sh_in[1]): |
| 2179 | for i2 in range(sh_in[2]): |
| 2180 | if i0+i1+i2>0: t_prog+="+" |
| 2181 | t_prog+="%s*arg_in[%s,%s,%s]"%(trafo[i0,i1,i2],i0,i1,i2) |
| 2182 | elif len(sh_in)==4: |
| 2183 | for i0 in range(sh_in[0]): |
| 2184 | for i1 in range(sh_in[1]): |
| 2185 | for i2 in range(sh_in[2]): |
| 2186 | for i3 in range(sh_in[3]): |
| 2187 | if i0+i1+i2+i3>0: t_prog+="+" |
| 2188 | t_prog+="%s*arg_in[%s,%s,%s,%s]"%(trafo[i0,i1,i2,i3],i0,i1,i2,i3) |
| 2189 | t_prog+="\n" |
| 2190 | elif len(sh)==1: |
| 2191 | for j0 in range(sh[0]): |
| 2192 | t_prog+=" arg2[%s]="%j0 |
| 2193 | if len(sh_in)==0: |
| 2194 | t_prog+="%s*arg_in"%trafo[j0] |
| 2195 | elif len(sh_in)==1: |
| 2196 | for i0 in range(sh_in[0]): |
| 2197 | if i0>0: t_prog+="+" |
| 2198 | t_prog+="%s*arg_in[%s]"%(trafo[j0,i0],i0) |
| 2199 | elif len(sh_in)==2: |
| 2200 | for i0 in range(sh_in[0]): |
| 2201 | for i1 in range(sh_in[1]): |
| 2202 | if i0+i1>0: t_prog+="+" |
| 2203 | t_prog+="%s*arg_in[%s,%s]"%(trafo[j0,i0,i1],i0,i1) |
| 2204 | elif len(sh_in)==3: |
| 2205 | for i0 in range(sh_in[0]): |
| 2206 | for i1 in range(sh_in[1]): |
| 2207 | for i2 in range(sh_in[2]): |
| 2208 | if i0+i1+i2>0: t_prog+="+" |
| 2209 | t_prog+="%s*arg_in[%s,%s,%s]"%(trafo[j0,i0,i1,i2],i0,i1,i2) |
| 2210 | t_prog+="\n" |
| 2211 | elif len(sh)==2: |
| 2212 | for j0 in range(sh[0]): |
| 2213 | for j1 in range(sh[1]): |
| 2214 | t_prog+=" arg2[%s,%s]="%(j0,j1) |
| 2215 | if len(sh_in)==0: |
| 2216 | t_prog+="%s*arg_in"%trafo[j0,j1] |
| 2217 | elif len(sh_in)==1: |
| 2218 | for i0 in range(sh_in[0]): |
| 2219 | if i0>0: t_prog+="+" |
| 2220 | t_prog+="%s*arg_in[%s]"%(trafo[j0,j1,i0],i0) |
| 2221 | elif len(sh_in)==2: |
| 2222 | for i0 in range(sh_in[0]): |
| 2223 | for i1 in range(sh_in[1]): |
| 2224 | if i0+i1>0: t_prog+="+" |
| 2225 | t_prog+="%s*arg_in[%s,%s]"%(trafo[j0,j1,i0,i1],i0,i1) |
| 2226 | t_prog+="\n" |
| 2227 | elif len(sh)==3: |
| 2228 | for j0 in range(sh[0]): |
| 2229 | for j1 in range(sh[1]): |
| 2230 | for j2 in range(sh[2]): |
| 2231 | t_prog+=" arg2[%s,%s,%s]="%(j0,j1,j2) |
| 2232 | if len(sh_in)==0: |
| 2233 | t_prog+="%s*arg_in"%trafo[j0,j1,j2] |
| 2234 | elif len(sh_in)==1: |
| 2235 | for i0 in range(sh_in[0]): |
| 2236 | if i0>0: t_prog+="+" |
| 2237 | t_prog+="%s*arg_in[%s]"%(trafo[j0,j1,j2,i0],i0) |
| 2238 | t_prog+="\n" |
| 2239 | elif len(sh)==4: |
| 2240 | for j0 in range(sh[0]): |
| 2241 | for j1 in range(sh[1]): |
| 2242 | for j2 in range(sh[2]): |
| 2243 | for j3 in range(sh[3]): |
| 2244 | t_prog+=" arg2[%s,%s,%s,%s]="%(j0,j1,j2,j3) |
| 2245 | if len(sh_in)==0: |
| 2246 | t_prog+="%s*arg_in"%trafo[j0,j1,j2,j3] |
| 2247 | t_prog+="\n" |
| 2248 | t_prog+=" dvdin=v.substitute({arg : arg2}).diff(arg_in)\n" |
| 2249 | if len(sh_in)==0: |
| 2250 | t_prog+=" res_in=dvdin.substitute({arg_in : %s})\n"%a_in |
| 2251 | else: |
| 2252 | t_prog+=" res_in=dvdin.substitute({arg : numarray.array(%s)})\n"%a_in.tolist() |
| 2253 | |
| 2254 | if len(sh)==0: |
| 2255 | if len(sh_in)==0: |
| 2256 | ref_diff=(makeResult(trafo*a_in+finc,f)-makeResult(trafo*a_in,f))/finc |
| 2257 | t_prog+=" self.failUnlessAlmostEqual(dvdin,%s,self.places,< |