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some new functions around tensor product 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 isinstance(l,int): |
| 157 | if len(shape)==0: |
| 158 | out=int(l*random.random()+rng[0])*1. |
| 159 | elif len(shape)==1: |
| 160 | for i0 in range(shape[0]): |
| 161 | out[i0]=int(l*random.random()+rng[0]) |
| 162 | elif len(shape)==2: |
| 163 | for i0 in range(shape[0]): |
| 164 | for i1 in range(shape[1]): |
| 165 | out[i0,i1]=int(l*random.random()+rng[0]) |
| 166 | elif len(shape)==3: |
| 167 | for i0 in range(shape[0]): |
| 168 | for i1 in range(shape[1]): |
| 169 | for i2 in range(shape[2]): |
| 170 | out[i0,i1,i2]=int(l*random.random()+rng[0]) |
| 171 | elif len(shape)==4: |
| 172 | for i0 in range(shape[0]): |
| 173 | for i1 in range(shape[1]): |
| 174 | for i2 in range(shape[2]): |
| 175 | for i3 in range(shape[3]): |
| 176 | out[i0,i1,i2,i3]=int(l*random.random()+rng[0]) |
| 177 | elif len(shape)==5: |
| 178 | for i0 in range(shape[0]): |
| 179 | for i1 in range(shape[1]): |
| 180 | for i2 in range(shape[2]): |
| 181 | for i3 in range(shape[3]): |
| 182 | for i4 in range(shape[4]): |
| 183 | out[i0,i1,i2,i3,i4]=int(l*ranm.random()+rng[0]) |
| 184 | else: |
| 185 | raise SystemError,"rank is restricted to 5" |
| 186 | else: |
| 187 | if len(shape)==0: |
| 188 | out=l*random.random()+rng[0] |
| 189 | elif len(shape)==1: |
| 190 | for i0 in range(shape[0]): |
| 191 | out[i0]=l*random.random()+rng[0] |
| 192 | elif len(shape)==2: |
| 193 | for i0 in range(shape[0]): |
| 194 | for i1 in range(shape[1]): |
| 195 | out[i0,i1]=l*random.random()+rng[0] |
| 196 | elif len(shape)==3: |
| 197 | for i0 in range(shape[0]): |
| 198 | for i1 in range(shape[1]): |
| 199 | for i2 in range(shape[2]): |
| 200 | out[i0,i1,i2]=l*random.random()+rng[0] |
| 201 | elif len(shape)==4: |
| 202 | for i0 in range(shape[0]): |
| 203 | for i1 in range(shape[1]): |
| 204 | for i2 in range(shape[2]): |
| 205 | for i3 in range(shape[3]): |
| 206 | out[i0,i1,i2,i3]=l*random.random()+rng[0] |
| 207 | elif len(shape)==5: |
| 208 | for i0 in range(shape[0]): |
| 209 | for i1 in range(shape[1]): |
| 210 | for i2 in range(shape[2]): |
| 211 | for i3 in range(shape[3]): |
| 212 | for i4 in range(shape[4]): |
| 213 | out[i0,i1,i2,i3,i4]=l*ranm.random()+rng[0] |
| 214 | else: |
| 215 | raise SystemError,"rank is restricted to 5" |
| 216 | return out |
| 217 | |
| 218 | def makeNumberedArray(shape,s=1.): |
| 219 | out=numarray.zeros(shape,numarray.Float64) |
| 220 | if len(shape)==0: |
| 221 | out=s*1. |
| 222 | elif len(shape)==1: |
| 223 | for i0 in range(shape[0]): |
| 224 | out[i0]=s*int(8*random.random()+1) |
| 225 | elif len(shape)==2: |
| 226 | for i0 in range(shape[0]): |
| 227 | for i1 in range(shape[1]): |
| 228 | out[i0,i1]=s*int(8*random.random()+1) |
| 229 | elif len(shape)==3: |
| 230 | for i0 in range(shape[0]): |
| 231 | for i1 in range(shape[1]): |
| 232 | for i2 in range(shape[2]): |
| 233 | out[i0,i1,i2]=s*int(8*random.random()+1) |
| 234 | elif len(shape)==4: |
| 235 | for i0 in range(shape[0]): |
| 236 | for i1 in range(shape[1]): |
| 237 | for i2 in range(shape[2]): |
| 238 | for i3 in range(shape[3]): |
| 239 | out[i0,i1,i2,i3]=s*int(8*random.random()+1) |
| 240 | else: |
| 241 | raise SystemError,"rank is restricted to 4" |
| 242 | return out |
| 243 | |
| 244 | def makeResult(val,test_expr): |
| 245 | if isinstance(val,float): |
| 246 | out=eval(test_expr.replace("%a1%","val")) |
| 247 | elif len(val.shape)==0: |
| 248 | out=eval(test_expr.replace("%a1%","val")) |
| 249 | elif len(val.shape)==1: |
| 250 | out=numarray.zeros(val.shape,numarray.Float64) |
| 251 | for i0 in range(val.shape[0]): |
| 252 | out[i0]=eval(test_expr.replace("%a1%","val[i0]")) |
| 253 | elif len(val.shape)==2: |
| 254 | out=numarray.zeros(val.shape,numarray.Float64) |
| 255 | for i0 in range(val.shape[0]): |
| 256 | for i1 in range(val.shape[1]): |
| 257 | out[i0,i1]=eval(test_expr.replace("%a1%","val[i0,i1]")) |
| 258 | elif len(val.shape)==3: |
| 259 | out=numarray.zeros(val.shape,numarray.Float64) |
| 260 | for i0 in range(val.shape[0]): |
| 261 | for i1 in range(val.shape[1]): |
| 262 | for i2 in range(val.shape[2]): |
| 263 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val[i0,i1,i2]")) |
| 264 | elif len(val.shape)==4: |
| 265 | out=numarray.zeros(val.shape,numarray.Float64) |
| 266 | for i0 in range(val.shape[0]): |
| 267 | for i1 in range(val.shape[1]): |
| 268 | for i2 in range(val.shape[2]): |
| 269 | for i3 in range(val.shape[3]): |
| 270 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val[i0,i1,i2,i3]")) |
| 271 | else: |
| 272 | raise SystemError,"rank is restricted to 4" |
| 273 | return out |
| 274 | |
| 275 | def makeResult2(val0,val1,test_expr): |
| 276 | if isinstance(val0,float): |
| 277 | if isinstance(val1,float): |
| 278 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
| 279 | elif len(val1.shape)==0: |
| 280 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
| 281 | elif len(val1.shape)==1: |
| 282 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 283 | for i0 in range(val1.shape[0]): |
| 284 | out[i0]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0]")) |
| 285 | elif len(val1.shape)==2: |
| 286 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 287 | for i0 in range(val1.shape[0]): |
| 288 | for i1 in range(val1.shape[1]): |
| 289 | out[i0,i1]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1]")) |
| 290 | elif len(val1.shape)==3: |
| 291 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 292 | for i0 in range(val1.shape[0]): |
| 293 | for i1 in range(val1.shape[1]): |
| 294 | for i2 in range(val1.shape[2]): |
| 295 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2]")) |
| 296 | elif len(val1.shape)==4: |
| 297 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 298 | for i0 in range(val1.shape[0]): |
| 299 | for i1 in range(val1.shape[1]): |
| 300 | for i2 in range(val1.shape[2]): |
| 301 | for i3 in range(val1.shape[3]): |
| 302 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2,i3]")) |
| 303 | else: |
| 304 | raise SystemError,"rank of val1 is restricted to 4" |
| 305 | elif len(val0.shape)==0: |
| 306 | if isinstance(val1,float): |
| 307 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
| 308 | elif len(val1.shape)==0: |
| 309 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
| 310 | elif len(val1.shape)==1: |
| 311 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 312 | for i0 in range(val1.shape[0]): |
| 313 | out[i0]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0]")) |
| 314 | elif len(val1.shape)==2: |
| 315 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 316 | for i0 in range(val1.shape[0]): |
| 317 | for i1 in range(val1.shape[1]): |
| 318 | out[i0,i1]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1]")) |
| 319 | elif len(val1.shape)==3: |
| 320 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 321 | for i0 in range(val1.shape[0]): |
| 322 | for i1 in range(val1.shape[1]): |
| 323 | for i2 in range(val1.shape[2]): |
| 324 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2]")) |
| 325 | elif len(val1.shape)==4: |
| 326 | out=numarray.zeros(val1.shape,numarray.Float64) |
| 327 | for i0 in range(val1.shape[0]): |
| 328 | for i1 in range(val1.shape[1]): |
| 329 | for i2 in range(val1.shape[2]): |
| 330 | for i3 in range(val1.shape[3]): |
| 331 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2,i3]")) |
| 332 | else: |
| 333 | raise SystemError,"rank of val1 is restricted to 4" |
| 334 | elif len(val0.shape)==1: |
| 335 | if isinstance(val1,float): |
| 336 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 337 | for i0 in range(val0.shape[0]): |
| 338 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1")) |
| 339 | elif len(val1.shape)==0: |
| 340 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 341 | for i0 in range(val0.shape[0]): |
| 342 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1")) |
| 343 | elif len(val1.shape)==1: |
| 344 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 345 | for i0 in range(val0.shape[0]): |
| 346 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0]")) |
| 347 | elif len(val1.shape)==2: |
| 348 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) |
| 349 | for i0 in range(val0.shape[0]): |
| 350 | for j1 in range(val1.shape[1]): |
| 351 | out[i0,j1]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1]")) |
| 352 | elif len(val1.shape)==3: |
| 353 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) |
| 354 | for i0 in range(val0.shape[0]): |
| 355 | for j1 in range(val1.shape[1]): |
| 356 | for j2 in range(val1.shape[2]): |
| 357 | out[i0,j1,j2]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1,j2]")) |
| 358 | elif len(val1.shape)==4: |
| 359 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) |
| 360 | for i0 in range(val0.shape[0]): |
| 361 | for j1 in range(val1.shape[1]): |
| 362 | for j2 in range(val1.shape[2]): |
| 363 | for j3 in range(val1.shape[3]): |
| 364 | out[i0,j1,j2,j3]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1,j2,j3]")) |
| 365 | else: |
| 366 | raise SystemError,"rank of val1 is restricted to 4" |
| 367 | elif len(val0.shape)==2: |
| 368 | if isinstance(val1,float): |
| 369 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 370 | for i0 in range(val0.shape[0]): |
| 371 | for i1 in range(val0.shape[1]): |
| 372 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1")) |
| 373 | elif len(val1.shape)==0: |
| 374 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 375 | for i0 in range(val0.shape[0]): |
| 376 | for i1 in range(val0.shape[1]): |
| 377 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1")) |
| 378 | elif len(val1.shape)==1: |
| 379 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 380 | for i0 in range(val0.shape[0]): |
| 381 | for i1 in range(val0.shape[1]): |
| 382 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0]")) |
| 383 | elif len(val1.shape)==2: |
| 384 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 385 | for i0 in range(val0.shape[0]): |
| 386 | for i1 in range(val0.shape[1]): |
| 387 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1]")) |
| 388 | elif len(val1.shape)==3: |
| 389 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 390 | for i0 in range(val0.shape[0]): |
| 391 | for i1 in range(val0.shape[1]): |
| 392 | for j2 in range(val1.shape[2]): |
| 393 | out[i0,i1,j2]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1,j2]")) |
| 394 | elif len(val1.shape)==4: |
| 395 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 396 | for i0 in range(val0.shape[0]): |
| 397 | for i1 in range(val0.shape[1]): |
| 398 | for j2 in range(val1.shape[2]): |
| 399 | for j3 in range(val1.shape[3]): |
| 400 | out[i0,i1,j2,j3]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1,j2,j3]")) |
| 401 | else: |
| 402 | raise SystemError,"rank of val1 is restricted to 4" |
| 403 | elif len(val0.shape)==3: |
| 404 | if isinstance(val1,float): |
| 405 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 406 | for i0 in range(val0.shape[0]): |
| 407 | for i1 in range(val0.shape[1]): |
| 408 | for i2 in range(val0.shape[2]): |
| 409 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1")) |
| 410 | elif len(val1.shape)==0: |
| 411 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 412 | for i0 in range(val0.shape[0]): |
| 413 | for i1 in range(val0.shape[1]): |
| 414 | for i2 in range(val0.shape[2]): |
| 415 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1")) |
| 416 | elif len(val1.shape)==1: |
| 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 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0]")) |
| 422 | elif len(val1.shape)==2: |
| 423 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 424 | for i0 in range(val0.shape[0]): |
| 425 | for i1 in range(val0.shape[1]): |
| 426 | for i2 in range(val0.shape[2]): |
| 427 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1]")) |
| 428 | elif len(val1.shape)==3: |
| 429 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 430 | for i0 in range(val0.shape[0]): |
| 431 | for i1 in range(val0.shape[1]): |
| 432 | for i2 in range(val0.shape[2]): |
| 433 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1,i2]")) |
| 434 | elif len(val1.shape)==4: |
| 435 | out=numarray.zeros(val0.shape+val1.shape[3:],numarray.Float64) |
| 436 | for i0 in range(val0.shape[0]): |
| 437 | for i1 in range(val0.shape[1]): |
| 438 | for i2 in range(val0.shape[2]): |
| 439 | for j3 in range(val1.shape[3]): |
| 440 | out[i0,i1,i2,j3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1,i2,j3]")) |
| 441 | else: |
| 442 | raise SystemError,"rank of val1 is rargs[1]estricted to 4" |
| 443 | elif len(val0.shape)==4: |
| 444 | if isinstance(val1,float): |
| 445 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 446 | for i0 in range(val0.shape[0]): |
| 447 | for i1 in range(val0.shape[1]): |
| 448 | for i2 in range(val0.shape[2]): |
| 449 | for i3 in range(val0.shape[3]): |
| 450 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1")) |
| 451 | elif len(val1.shape)==0: |
| 452 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 453 | for i0 in range(val0.shape[0]): |
| 454 | for i1 in range(val0.shape[1]): |
| 455 | for i2 in range(val0.shape[2]): |
| 456 | for i3 in range(val0.shape[3]): |
| 457 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1")) |
| 458 | elif len(val1.shape)==1: |
| 459 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 460 | for i0 in range(val0.shape[0]): |
| 461 | for i1 in range(val0.shape[1]): |
| 462 | for i2 in range(val0.shape[2]): |
| 463 | for i3 in range(val0.shape[3]): |
| 464 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0]")) |
| 465 | elif len(val1.shape)==2: |
| 466 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
| 467 | for i0 in range(val0.shape[0]): |
| 468 | for i1 in range(val0.shape[1]): |
| 469 | for i2 in range(val0.shape[2]): |
| 470 | for i3 in range(val0.shape[3]): |
| 471 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1]")) |
| 472 | elif len(val1.shape)==3: |
| 473 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 474 | for i0 in range(val0.shape[0]): |
| 475 | for i1 in range(val0.shape[1]): |
| 476 | for i2 in range(val0.shape[2]): |
| 477 | for i3 in range(val0.shape[3]): |
| 478 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1,i2]")) |
| 479 | elif len(val1.shape)==4: |
| 480 | out=numarray.zeros(val0.shape,numarray.Float64) |
| 481 | for i0 in range(val0.shape[0]): |
| 482 | for i1 in range(val0.shape[1]): |
| 483 | for i2 in range(val0.shape[2]): |
| 484 | for i3 in range(val0.shape[3]): |
| 485 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1,i2,i3]")) |
| 486 | else: |
| 487 | raise SystemError,"rank of val1 is restricted to 4" |
| 488 | else: |
| 489 | raise SystemError,"rank is restricted to 4" |
| 490 | return out |
| 491 | |
| 492 | |
| 493 | def mkText(case,name,a,a1=None,use_tagging_for_expanded_data=False): |
| 494 | t_out="" |
| 495 | if case=="float": |
| 496 | if isinstance(a,float): |
| 497 | t_out+=" %s=%s\n"%(name,a) |
| 498 | elif a.rank==0: |
| 499 | t_out+=" %s=%s\n"%(name,a) |
| 500 | else: |
| 501 | t_out+=" %s=numarray.array(%s)\n"%(name,a.tolist()) |
| 502 | elif case=="array": |
| 503 | if isinstance(a,float): |
| 504 | t_out+=" %s=numarray.array(%s)\n"%(name,a) |
| 505 | elif a.rank==0: |
| 506 | t_out+=" %s=numarray.array(%s)\n"%(name,a) |
| 507 | else: |
| 508 | t_out+=" %s=numarray.array(%s)\n"%(name,a.tolist()) |
| 509 | elif case=="constData": |
| 510 | if isinstance(a,float): |
| 511 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 512 | elif a.rank==0: |
| 513 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 514 | else: |
| 515 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) |
| 516 | elif case=="taggedData": |
| 517 | if isinstance(a,float): |
| 518 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 519 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
| 520 | elif a.rank==0: |
| 521 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 522 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
| 523 | else: |
| 524 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) |
| 525 | t_out+=" %s.setTaggedValue(1,numarray.array(%s))\n"%(name,a1.tolist()) |
| 526 | elif case=="expandedData": |
| 527 | if use_tagging_for_expanded_data: |
| 528 | if isinstance(a,float): |
| 529 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 530 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
| 531 | elif a.rank==0: |
| 532 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 533 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
| 534 | else: |
| 535 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) |
| 536 | t_out+=" %s.setTaggedValue(1,numarray.array(%s))\n"%(name,a1.tolist()) |
| 537 | t_out+=" %s.expand()\n"%name |
| 538 | else: |
| 539 | t_out+=" msk_%s=1-whereZero(self.functionspace.getX()[0],1.e-8)\n"%name |
| 540 | if isinstance(a,float): |
| 541 | t_out+=" %s=msk_%s*(%s)+(1-msk_%s)*(%s)\n"%(name,name,a,name,a1) |
| 542 | elif a.rank==0: |
| 543 | t_out+=" %s=msk_%s*numarray.array(%s)+(1.-msk_%s)*numarray.array(%s)\n"%(name,name,a,name,a1) |
| 544 | else: |
| 545 | t_out+=" %s=msk_%s*numarray.array(%s)+(1.-msk_%s)*numarray.array(%s)\n"%(name,name,a.tolist(),name,a1.tolist()) |
| 546 | elif case=="Symbol": |
| 547 | if isinstance(a,float): |
| 548 | t_out+=" %s=Symbol(shape=())\n"%(name) |
| 549 | elif a.rank==0: |
| 550 | t_out+=" %s=Symbol(shape=())\n"%(name) |
| 551 | else: |
| 552 | t_out+=" %s=Symbol(shape=%s)\n"%(name,str(a.shape)) |
| 553 | |
| 554 | return t_out |
| 555 | |
| 556 | def mkTypeAndShapeTest(case,sh,argstr,name=""): |
| 557 | text="" |
| 558 | if case=="float": |
| 559 | text+=" self.failUnless(isinstance(%s,float),\"wrong type of result%s.\")\n"%(argstr,name) |
| 560 | elif case=="array": |
| 561 | text+=" self.failUnless(isinstance(%s,numarray.NumArray),\"wrong type of result%s.\")\n"%(argstr,name) |
| 562 | text+=" self.failUnlessEqual(%s.shape,%s,\"wrong shape of result%s.\")\n"%(argstr,str(sh),name) |
| 563 | elif case in ["constData","taggedData","expandedData"]: |
| 564 | text+=" self.failUnless(isinstance(%s,Data),\"wrong type of result%s.\")\n"%(argstr,name) |
| 565 | text+=" self.failUnlessEqual(%s.getShape(),%s,\"wrong shape of result%s.\")\n"%(argstr,str(sh),name) |
| 566 | elif case=="Symbol": |
| 567 | text+=" self.failUnless(isinstance(%s,Symbol),\"wrong type of result%s.\")\n"%(argstr,name) |
| 568 | text+=" self.failUnlessEqual(%s.getShape(),%s,\"wrong shape of result%s.\")\n"%(argstr,str(sh),name) |
| 569 | return text |
| 570 | |
| 571 | def mkCode(txt,args=[],intend=""): |
| 572 | s=txt.split("\n") |
| 573 | if len(s)>1: |
| 574 | out="" |
| 575 | for l in s: |
| 576 | out+=intend+l+"\n" |
| 577 | else: |
| 578 | out="%sreturn %s\n"%(intend,txt) |
| 579 | c=1 |
| 580 | for r in args: |
| 581 | out=out.replace("%%a%s%%"%c,r) |
| 582 | return out |
| 583 | #================================================= |
| 584 | def testMatrixMult(arg0,arg1,sh_s): |
| 585 | return numarray.matrixmultiply(arg0,arg1) |
| 586 | |
| 587 | def shapeTestMatrixMult(sh0,sh1,sh_s): |
| 588 | if len(sh_s)==1 and len(sh0+sh_s)==2 and (len(sh_s+sh1)==1 or len(sh_s+sh1)==2): |
| 589 | return sh0+sh_s,sh_s+sh1 |
| 590 | |
| 591 | def testTensorMult(arg0,arg1,sh_s): |
| 592 | if arg0.rank==2: |
| 593 | return numarray.matrixmultiply(arg0,arg1) |
| 594 | else: |
| 595 | if arg1.rank==4: |
| 596 | out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[2],arg1.shape[3]),numarray.Float) |
| 597 | for i0 in range(arg0.shape[0]): |
| 598 | for i1 in range(arg0.shape[1]): |
| 599 | for i2 in range(arg0.shape[2]): |
| 600 | for i3 in range(arg0.shape[3]): |
| 601 | for j2 in range(arg1.shape[2]): |
| 602 | for j3 in range(arg1.shape[3]): |
| 603 | out[i0,i1,j2,j3]+=arg0[i0,i1,i2,i3]*arg1[i2,i3,j2,j3] |
| 604 | elif arg1.rank==3: |
| 605 | out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[2]),numarray.Float) |
| 606 | for i0 in range(arg0.shape[0]): |
| 607 | for i1 in range(arg0.shape[1]): |
| 608 | for i2 in range(arg0.shape[2]): |
| 609 | for i3 in range(arg0.shape[3]): |
| 610 | for j2 in range(arg1.shape[2]): |
| 611 | out[i0,i1,j2]+=arg0[i0,i1,i2,i3]*arg1[i2,i3,j2] |
| 612 | elif arg1.rank==2: |
| 613 | out=numarray.zeros((arg0.shape[0],arg0.shape[1]),numarray.Float) |
| 614 | for i0 in range(arg0.shape[0]): |
| 615 | for i1 in range(arg0.shape[1]): |
| 616 | for i2 in range(arg0.shape[2]): |
| 617 | for i3 in range(arg0.shape[3]): |
| 618 | out[i0,i1]+=arg0[i0,i1,i2,i3]*arg1[i2,i3] |
| 619 | return out |
| 620 | |
| 621 | def shapeTestTensorMult(sh0,sh1,sh_s): |
| 622 | 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)): |
| 623 | return sh0+sh_s,sh_s+sh1 |
| 624 | |
| 625 | def tensorProductTest(arg0,arg1,sh_s): |
| 626 | if isinstance(arg0,float): |
| 627 | out=numarray.array(arg0*arg1) |
| 628 | elif isinstance(arg1,float): |
| 629 | out=numarray.array(arg0*arg1) |
| 630 | elif len(sh_s)==0: |
| 631 | out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape) |
| 632 | else: |
| 633 | l=len(sh_s) |
| 634 | sh0=arg0.shape[:arg0.rank-l] |
| 635 | sh1=arg1.shape[l:] |
| 636 | ls,l0,l1=1,1,1 |
| 637 | for i in sh_s: ls*=i |
| 638 | for i in sh0: l0*=i |
| 639 | for i in sh1: l1*=i |
| 640 | out1=numarray.outerproduct(arg0,arg1).resize((l0,ls,ls,l1)) |
| 641 | out2=numarray.zeros((l0,l1),numarray.Float) |
| 642 | for i0 in range(l0): |
| 643 | for i1 in range(l1): |
| 644 | for i in range(ls): out2[i0,i1]+=out1[i0,i,i,i1] |
| 645 | out=out2.resize(sh0+sh1) |
| 646 | return out |
| 647 | def tensorProductShape(sh0,sh1,sh_s): |
| 648 | return sh0+sh_s,sh_s+sh1 |
| 649 | |
| 650 | def transpose(r,offset): |
| 651 | if isinstance(r,float): return r |
| 652 | s=r.shape |
| 653 | s1=1 |
| 654 | for i in s[:offset]: s1*=i |
| 655 | s2=1 |
| 656 | for i in s[offset:]: s2*=i |
| 657 | out=numarray.reshape(r,(s1,s2)) |
| 658 | out.transpose() |
| 659 | return numarray.resize(out,s[offset:]+s[:offset]) |
| 660 | |
| 661 | def shapeTestTMatrixMult(sh0,sh1,sh_s): |
| 662 | if len(sh_s)==1 and len(sh0+sh_s)==2 and (len(sh_s+sh1)==1 or len(sh_s+sh1)==2): |
| 663 | return sh_s+sh0,sh_s+sh1 |
| 664 | |
| 665 | def testTMatrixMult(arg0,arg1,sh_s): |
| 666 | return numarray.matrixmultiply(transpose(arg0,1),arg1) |
| 667 | |
| 668 | def shapeTestTTensorMult(sh0,sh1,sh_s): |
| 669 | 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)): |
| 670 | return sh_s+sh0,sh_s+sh1 |
| 671 | |
| 672 | def testTTensorMult(arg0,arg1,sh_s): |
| 673 | if arg0.rank==2: |
| 674 | return numarray.matrixmultiply(transpose(arg0,1),arg1) |
| 675 | else: |
| 676 | if arg1.rank==4: |
| 677 | out=numarray.zeros((arg0.shape[2],arg0.shape[3],arg1.shape[2],arg1.shape[3]),numarray.Float) |
| 678 | for i0 in range(arg0.shape[2]): |
| 679 | for i1 in range(arg0.shape[3]): |
| 680 | for i2 in range(arg0.shape[0]): |
| 681 | for i3 in range(arg0.shape[1]): |
| 682 | for j2 in range(arg1.shape[2]): |
| 683 | for j3 in range(arg1.shape[3]): |
| 684 | out[i0,i1,j2,j3]+=arg0[i2,i3,i0,i1]*arg1[i2,i3,j2,j3] |
| 685 | elif arg1.rank==3: |
| 686 | out=numarray.zeros((arg0.shape[2],arg0.shape[3],arg1.shape[2]),numarray.Float) |
| 687 | for i0 in range(arg0.shape[2]): |
| 688 | for i1 in range(arg0.shape[3]): |
| 689 | for i2 in range(arg0.shape[0]): |
| 690 | for i3 in range(arg0.shape[1]): |
| 691 | for j2 in range(arg1.shape[2]): |
| 692 | out[i0,i1,j2]+=arg0[i2,i3,i0,i1]*arg1[i2,i3,j2] |
| 693 | elif arg1.rank==2: |
| 694 | out=numarray.zeros((arg0.shape[2],arg0.shape[3]),numarray.Float) |
| 695 | for i0 in range(arg0.shape[2]): |
| 696 | for i1 in range(arg0.shape[3]): |
| 697 | for i2 in range(arg0.shape[0]): |
| 698 | for i3 in range(arg0.shape[1]): |
| 699 | out[i0,i1]+=arg0[i2,i3,i0,i1]*arg1[i2,i3] |
| 700 | return out |
| 701 | |
| 702 | def tensorTProductShape(sh0,sh1,sh_s): |
| 703 | return sh_s+sh0,sh_s+sh1 |
| 704 | |
| 705 | def tensorTProductTest(arg0,arg1,sh_s): |
| 706 | if isinstance(arg0,float): |
| 707 | out=numarray.array(arg0*arg1) |
| 708 | elif isinstance(arg1,float): |
| 709 | out=numarray.array(arg0*arg1) |
| 710 | elif len(sh_s)==0: |
| 711 | out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape) |
| 712 | else: |
| 713 | l=len(sh_s) |
| 714 | sh0=arg0.shape[l:] |
| 715 | sh1=arg1.shape[l:] |
| 716 | ls,l0,l1=1,1,1 |
| 717 | for i in sh_s: ls*=i |
| 718 | for i in sh0: l0*=i |
| 719 | for i in sh1: l1*=i |
| 720 | out1=numarray.outerproduct(arg0,arg1).resize((ls,l0,ls,l1)) |
| 721 | out2=numarray.zeros((l0,l1),numarray.Float) |
| 722 | for i0 in range(l0): |
| 723 | for i1 in range(l1): |
| 724 | for i in range(ls): out2[i0,i1]+=out1[i,i0,i,i1] |
| 725 | out=out2.resize(sh0+sh1) |
| 726 | return out |
| 727 | |
| 728 | def shapeTestMatrixTMult(sh0,sh1,sh_s): |
| 729 | if len(sh_s)==1 and len(sh0+sh_s)==2 and len(sh_s+sh1)==2: |
| 730 | return sh0+sh_s,sh1+sh_s |
| 731 | |
| 732 | def testMatrixTMult(arg0,arg1,sh_s): |
| 733 | return numarray.matrixmultiply(arg0,transpose(arg1,1)) |
| 734 | |
| 735 | def shapeTestTensorTMult(sh0,sh1,sh_s): |
| 736 | 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)): |
| 737 | return sh0+sh_s,sh1+sh_s |
| 738 | |
| 739 | def testTensorTMult(arg0,arg1,sh_s): |
| 740 | if arg0.rank==2: |
| 741 | return numarray.matrixmultiply(arg0,transpose(arg1,1)) |
| 742 | else: |
| 743 | if arg1.rank==4: |
| 744 | out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[0],arg1.shape[1]),numarray.Float) |
| 745 | for i0 in range(arg0.shape[0]): |
| 746 | for i1 in range(arg0.shape[1]): |
| 747 | for i2 in range(arg0.shape[2]): |
| 748 | for i3 in range(arg0.shape[3]): |
| 749 | for j0 in range(arg1.shape[0]): |
| 750 | for j1 in range(arg1.shape[1]): |
| 751 | out[i0,i1,j0,j1]+=arg0[i0,i1,i2,i3]*arg1[j0,j1,i2,i3] |
| 752 | elif arg1.rank==3: |
| 753 | out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[0]),numarray.Float) |
| 754 | for i0 in range(arg0.shape[0]): |
| 755 | for i1 in range(arg0.shape[1]): |
| 756 | for i2 in range(arg0.shape[2]): |
| 757 | for i3 in range(arg0.shape[3]): |
| 758 | for j0 in range(arg1.shape[0]): |
| 759 | out[i0,i1,j0]+=arg0[i0,i1,i2,i3]*arg1[j0,i2,i3] |
| 760 | elif arg1.rank==2: |
| 761 | out=numarray.zeros((arg0.shape[0],arg0.shape[1]),numarray.Float) |
| 762 | for i0 in range(arg0.shape[0]): |
| 763 | for i1 in range(arg0.shape[1]): |
| 764 | for i2 in range(arg0.shape[2]): |
| 765 | for i3 in range(arg0.shape[3]): |
| 766 | out[i0,i1]+=arg0[i0,i1,i2,i3]*arg1[i2,i3] |
| 767 | return out |
| 768 | |
| 769 | def tensorProductTTest(arg0,arg1,sh_s): |
| 770 | if isinstance(arg0,float): |
| 771 | out=numarray.array(arg0*arg1) |
| 772 | elif isinstance(arg1,float): |
| 773 | out=numarray.array(arg0*arg1) |
| 774 | elif len(sh_s)==0: |
| 775 | out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape) |
| 776 | else: |
| 777 | l=len(sh_s) |
| 778 | sh0=arg0.shape[:arg0.rank-l] |
| 779 | sh1=arg1.shape[:arg1.rank-l] |
| 780 | ls,l0,l1=1,1,1 |
| 781 | for i in sh_s: ls*=i |
| 782 | for i in sh0: l0*=i |
| 783 | for i in sh1: l1*=i |
| 784 | out1=numarray.outerproduct(arg0,arg1).resize((l0,ls,l1,ls)) |
| 785 | out2=numarray.zeros((l0,l1),numarray.Float) |
| 786 | for i0 in range(l0): |
| 787 | for i1 in range(l1): |
| 788 | for i in range(ls): out2[i0,i1]+=out1[i0,i,i1,i] |
| 789 | out=out2.resize(sh0+sh1) |
| 790 | return out |
| 791 | |
| 792 | def tensorProductTShape(sh0,sh1,sh_s): |
| 793 | return sh0+sh_s,sh1+sh_s |
| 794 | |
| 795 | #======================================================================================================= |
| 796 | # tensor multiply |
| 797 | #======================================================================================================= |
| 798 | # oper= |
| 799 | # oper= |
| 800 | for oper in [ ["tensor_mult",testTensorMult,shapeTestTensorMult], \ |
| 801 | ["generalTensorProduct",tensorProductTest,tensorProductShape], \ |
| 802 | ["matrix_mult",testMatrixMult,shapeTestMatrixMult], \ |
| 803 | ["transposed_matrix_mult",testTMatrixMult,shapeTestTMatrixMult], \ |
| 804 | ["transposed_tensor_mult",testTTensorMult,shapeTestTTensorMult], \ |
| 805 | ["generalTransposedTensorProduct",tensorTProductTest,tensorTProductShape], \ |
| 806 | ["matrix_transposed_mult",testMatrixTMult,shapeTestMatrixTMult], \ |
| 807 | ["tensor_transposed_mult",testTensorTMult,shapeTestTensorTMult], \ |
| 808 | ["generalTensorTransposedProduct",tensorProductTTest,tensorProductTShape] ]: |
| 809 | |
| 810 | for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 811 | for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 812 | for case1 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
| 813 | for sh1 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 814 | for sh_s in [ (),(3,), (2,3), (2,4,3),(4,2,3,2)]: |
| 815 | if (len(sh0+sh_s)==0 or not case0=="float") and (len(sh1+sh_s)==0 or not case1=="float") \ |
| 816 | and len(sh0+sh1)<5 and len(sh0+sh_s)<5 and len(sh1+sh_s)<5: |
| 817 | arg_shape=oper[2](sh0,sh1,sh_s) |
| 818 | if not arg_shape==None: |
| 819 | case=getResultCaseForBin(case0,case1) |
| 820 | use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData" |
| 821 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 822 | if oper[0] in [ "generalTensorProduct", "generalTransposedTensorProduct", "generalTensorTransposedProduct"]: |
| 823 | tname="test_%s_%s_rank%s_%s_rank%s_offset%s"%(oper[0],case0,len(sh0+sh_s),case1,len(sh_s+sh1),len(sh_s)) |
| 824 | |
| 825 | res_text=" res=%s(arg0,arg1,axis_offset=%s)\n"%(oper[0],len(sh_s)) |
| 826 | else: |
| 827 | tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0+sh_s),case1,len(sh_s+sh1)) |
| 828 | |
| 829 | res_text=" res=%s(arg0,arg1)\n"%oper[0] |
| 830 | |
| 831 | text+=" def %s(self):\n"%tname |
| 832 | a_0=makeArray(arg_shape[0],[-8,8]) |
| 833 | if case0 in ["taggedData", "expandedData"]: |
| 834 | a1_0=makeArray(arg_shape[0],[-8,8]) |
| 835 | else: |
| 836 | a1_0=a_0 |
| 837 | |
| 838 | a_1=makeArray(arg_shape[1],[-8,8]) |
| 839 | if case1 in ["taggedData", "expandedData"]: |
| 840 | a1_1=makeArray(arg_shape[1],[-8,8]) |
| 841 | else: |
| 842 | a1_1=a_1 |
| 843 | r=oper[1](a_0,a_1,sh_s) |
| 844 | r1=oper[1](a1_0,a1_1,sh_s) |
| 845 | text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data) |
| 846 | text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data) |
| 847 | text+=res_text |
| 848 | if case=="Symbol": |
| 849 | c0_res,c1_res=case0,case1 |
| 850 | subs="{" |
| 851 | if case0=="Symbol": |
| 852 | text+=mkText("array","s0",a_0,a1_0) |
| 853 | subs+="arg0:s0" |
| 854 | c0_res="array" |
| 855 | if case1=="Symbol": |
| 856 | text+=mkText("array","s1",a_1,a1_1) |
| 857 | if not subs.endswith("{"): subs+="," |
| 858 | subs+="arg1:s1" |
| 859 | c1_res="array" |
| 860 | subs+="}" |
| 861 | text+=" sub=res.substitute(%s)\n"%subs |
| 862 | res="sub" |
| 863 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
| 864 | else: |
| 865 | res="res" |
| 866 | text+=mkText(case,"ref",r,r1) |
| 867 | text+=mkTypeAndShapeTest(case,sh0+sh1,"res") |
| 868 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 869 | if case0 == "taggedData" or case1 == "taggedData": |
| 870 | t_prog_with_tags+=text |
| 871 | else: |
| 872 | t_prog+=text |
| 873 | print test_header |
| 874 | print t_prog |
| 875 | # print t_prog_with_tags |
| 876 | print test_tail |
| 877 | 1/0 |
| 878 | |
| 879 | |
| 880 | |
| 881 | #======================================================================================================= |
| 882 | # eigenvalues and eigen vectors 2D: |
| 883 | #======================================================================================================= |
| 884 | alltests= \ |
| 885 | [ ("case0",[[0.0, 0.0], [0.0, 0.0]],[0.0, 0.0]) \ |
| 886 | , ("case3",[[-1.0, 0.0], [0.0, -1.0]],[-1.0, -1.0]) \ |
| 887 | , ("case5",[[-0.99999999999999967, -6.4606252205695602e-16], [-6.4606252205695602e-16, -0.99999999999999967]],[-1.0, -1.0]) \ |
| 888 | , ("case6",[[0.0, 0.0], [0.0, 0.0001]],[0.0, 0.0001]) \ |
| 889 | , ("case7",[[0.0001, 0.0], [0.0, 0.0]],[0.0, 0.0001]) \ |
| 890 | , ("case8",[[6.0598371831785722e-06, 2.3859213977648625e-05], [2.3859213977648629e-05, 9.3940162816821425e-05]],[0.0, 0.0001]) \ |
| 891 | , ("case9",[[1.0, 0.0], [0.0, 2.0]],[1.0, 2.0]) \ |
| 892 | , ("case10",[[2.0, 0.0], [0.0, 1.0]],[1.0, 2.0]) \ |
| 893 | , ("case11",[[1.0605983718317855, 0.23859213977648688], [0.23859213977648688, 1.9394016281682138]],[1.0, 2.0]) \ |
| 894 | , ("case12",[[1.0, 0.0], [0.0, 1000000.0]],[1.0, 1000000.0]) \ |
| 895 | , ("case13",[[1000000.0, 0.0], [0.0, 1.0]],[1.0, 1000000.0]) \ |
| 896 | , ("case14",[[60599.311233413886, 238591.90118434647], [238591.90118434647, 939401.68876658613]],[1.0, 1000000.0]) \ |
| 897 | ] |
| 898 | dim=2 |
| 899 | |
| 900 | |
| 901 | alltests= \ |
| 902 | [ ("case0",[[0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0]],[0.0, 0.0, 0.0]) \ |
| 903 | , ("case5",[[10.0, 0.0, 0.0], [0.0, 10.0, 0.0], [0.0, 0.0, 10.0]],[10.0, 10.0, 10.0]) \ |
| 904 | , ("case10",[[0.9, 0.0, 0.0], [0.0, 0.9, 0.0], [0.0, 0.0, 1.0]],[0.9, 0.9, 1.0]) \ |
| 905 | , ("case11",[[0.9, 0.0, 0.0], [0.0, 0.97060899725040983, -0.045555123008643325], [0.0, -0.045555123008643339, 0.92939100274959041]],[0.9, 0.9, 1.0]) \ |
| 906 | , ("case12",[[0.92694799760252555, 0.0, 0.044368966468320177], [0.0, 0.9, 0.0], [0.044368966468320184, 0.0, 0.97305200239747425]],[0.9, 0.9, 1.0]) \ |
| 907 | , ("case13",[[1.0, 0.0, 0.0], [0.0, 0.9, 0.], [0.0, 0., 0.9]],[0.9, 0.9, 1.0]) \ |
| 908 | , ("case14",[[0.92379770619813639, 0.041031106298491521, -0.011396846732439278], [0.041031106298491535, 0.97074428392640366, -0.019650012730342326], [-0.011396846732439236, -0.019650012730342337, 0.90545800987545966]],[0.9, 0.9, 1.0]) \ |
| 909 | , ("case15",[[1.0, 0.0, 0.0], [0.0, 1.1, 0.0], [0.0, 0.0, 1.1]],[1.0, 1.1, 1.1]) \ |
| 910 | , ("case17",[[1.0269479976025255, 0.0, 0.044368966468320309], [0.0, 1.1, 0.0], [0.044368966468320295, 0.0, 1.0730520023974743]],[1.0, 1.1, 1.1]) \ |
| 911 | , ("case18",[[1.1, 0.0, 0.0], [0.0, 1.0153410887977139, -0.036038311201720394], [0.0, -0.036038311201720373, 1.084658911202286]],[1.0, 1.1, 1.1]) \ |
| 912 | , ("case19",[[1.035487967756175, 0.026317079185831614, -0.039960133424212368], [0.026317079185831618, 1.0892641940924184, 0.016301362071911414], [-0.039960133424212355, 0.016301362071911431, 1.0752478381514063]],[1.0, 1.1, 1.1]) \ |
| 913 | , ("case20",[[1.0, 0.0, 0.0], [0.0, 2.0, 0.0], [0.0, 0.0, 3.0]],[1.0, 2.0, 3.0]) \ |
| 914 | , ("case21",[[1.0, 0.0, 0.0], [0.0, 2.7060899725040968, -0.45555123008643206], [0.0, -0.45555123008643228, 2.2939100274959037]],[1.0, 2.0, 3.0]) \ |
| 915 | , ("case22",[[1.5389599520505153, 0.0, 0.88737932936638753], [0.0, 2.0, 0.0], [0.88737932936638753, 0.0, 2.4610400479494858]],[1.0, 2.0, 3.0]) \ |
| 916 | , ("case23",[[3.0, 0.0, 0.0], [0.0, 1.153410887977139, -0.36038311201720391], [0.0, -0.36038311201720391, 1.8465891120228608]],[1.0, 2.0, 3.0]) \ |
| 917 | , ("case24",[[1.5928567395431172, 0.67348185484323142, -0.51356980156651744], [0.67348185484323153, 2.6000847801882254, -0.033486506584313548], [-0.51356980156651744, -0.033486506584313541, 1.8070584802686565]],[1.0, 2.0, 3.0]) \ |
| 918 | , ("case25",[[1.0, 0.0, 0.0], [0.0, 2.0, 0.0], [0.0, 0.0, 30000.0]],[1.0, 2.0, 30000.0]) \ |
| 919 | , ("case26",[[1.0, 0.0, 0.0], [0.0, 21183.286995177881, -13665.625800132779], [0.0, -13665.625800132779, 8818.7130048221279]],[1.0, 2.0, 30000.0]) \ |
| 920 | , ("case27",[[8085.1298007817086, 0.0, 13310.246250831115], [0.0, 2.0, 0.0], [13310.246250831115, 0.0, 21915.870199218316]],[1.0, 2.0, 30000.0]) \ |
| 921 | , ("case28",[[30000.0, 0.0, 0.0], [0.0, 1.153410887977139, -0.36038311201720391], [0.0, -0.36038311201720391, 1.8465891120228608]],[1.0, 2.0, 30000.0]) \ |
| 922 | , ("case29",[[7140.1907849945546, 12308.774438213351, -3419.2256841313947], [12308.774438213351, 21223.762934183575, -5894.4478052274408], [-3419.2256841313947, -5894.4478052274408, 1639.0462808218595]],[1.0, 2.0, 30000.0]) \ |
| 923 | ] |
| 924 | |
| 925 | dim=3 |
| 926 | |
| 927 | alltests= \ |
| 928 | [ ("case0",[[0.0]],[0.0]) \ |
| 929 | , ("case1",[[1.0]],[1.0]) \ |
| 930 | ] |
| 931 | dim=1 |
| 932 | |
| 933 | for case in ["constData","taggedData","expandedData"]: |
| 934 | n=0 |
| 935 | while n<len(alltests): |
| 936 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 937 | tname="test_eigenvalues_and_eigenvectors_%s_dim%s_%s"%(case,dim,alltests[n][0]) |
| 938 | text+=" def %s(self):\n"%tname |
| 939 | a_0=numarray.array(alltests[n][1],numarray.Float64) |
| 940 | ev_0=numarray.array(alltests[n][2],numarray.Float64) |
| 941 | if case in ["taggedData", "expandedData"]: |
| 942 | if n+1<len(alltests): |
| 943 | a1_0=numarray.array(alltests[n+1][1],numarray.Float64) |
| 944 | ev1_0=numarray.array(alltests[n+1][2],numarray.Float64) |
| 945 | else: |
| 946 | a1_0=numarray.array(alltests[0][1],numarray.Float64) |
| 947 | ev1_0=numarray.array(alltests[0][2],numarray.Float64) |
| 948 | n+=2 |
| 949 | else: |
| 950 | a1_0=a_0 |
| 951 | ev1_0=ev_0 |
| 952 | n+=1 |
| 953 | text+=mkText(case,"arg",a_0,a1_0) |
| 954 | text+=" res=eigenvalues_and_eigenvectors(arg)\n" |
| 955 | text+=mkText(case,"ref_ev",ev_0,ev1_0) |
| 956 | text+=mkTypeAndShapeTest(case,(dim,),"res[0]"," for eigenvalues") |
| 957 | text+=mkTypeAndShapeTest(case,(dim,dim),"res[1]"," for eigenvectors") |
| 958 | text+=" self.failUnless(Lsup(res[0]-ref_ev)<=self.RES_TOL*Lsup(ref_ev),\"wrong eigenvalues\")\n" |
| 959 | for i in range(dim): |
| 960 | text+=" self.failUnless(Lsup(matrixmult(arg,res[1][:,%s])-res[0][%s]*res[1][:,%s])<=self.RES_TOL*Lsup(res[0]),\"wrong eigenvector %s\")\n"%(i,i,i,i) |
| 961 | text+=" self.failUnless(Lsup(matrixmult(transpose(res[1]),res[1])-kronecker(%s))<=self.RES_TOL,\"eigenvectors are not orthonormal\")\n"%dim |
| 962 | if case == "taggedData" : |
| 963 | t_prog_with_tags+=text |
| 964 | else: |
| 965 | t_prog+=text |
| 966 | print test_header |
| 967 | print t_prog |
| 968 | print t_prog_with_tags |
| 969 | print test_tail |
| 970 | 1/0 |
| 971 | #======================================================================================================= |
| 972 | # get slices |
| 973 | #======================================================================================================= |
| 974 | from esys.escript import * |
| 975 | for case0 in ["constData","taggedData","expandedData"]: |
| 976 | for sh0 in [ (3,), (3,4), (3,4,3) ,(4,3,3,3)]: |
| 977 | # get perm: |
| 978 | if len(sh0)==2: |
| 979 | check=[[1,0]] |
| 980 | elif len(sh0)==3: |
| 981 | check=[[1,0,2], |
| 982 | [1,2,0], |
| 983 | [2,1,0], |
| 984 | [2,0,2], |
| 985 | [0,2,1]] |
| 986 | elif len(sh0)==4: |
| 987 | check=[[0,1,3,2], |
| 988 | [0,2,1,3], |
| 989 | [0,2,3,1], |
| 990 | [0,3,2,1], |
| 991 | [0,3,1,2] , |
| 992 | [1,0,2,3], |
| 993 | [1,0,3,2], |
| 994 | [1,2,0,3], |
| 995 | [1,2,3,0], |
| 996 | [1,3,2,0], |
| 997 | [1,3,0,2], |
| 998 | [2,0,1,3], |
| 999 | [2,0,3,1], |
| 1000 | [2,1,0,3], |
| 1001 | [2,1,3,0], |
| 1002 | [2,3,1,0], |
| 1003 | [2,3,0,1], |
| 1004 | [3,0,1,2], |
| 1005 | [3,0,2,1], |
| 1006 | [3,1,0,2], |
| 1007 | [3,1,2,0], |
| 1008 | [3,2,1,0], |
| 1009 | [3,2,0,1]] |
| 1010 | else: |
| 1011 | check=[] |
| 1012 | |
| 1013 | # create the test cases: |
| 1014 | processed=[] |
| 1015 | l=["R","U","L","P","C","N"] |
| 1016 | c=[""] |
| 1017 | for i in range(len(sh0)): |
| 1018 | tmp=[] |
| 1019 | for ci in c: |
| 1020 | tmp+=[ci+li for li in l] |
| 1021 | c=tmp |
| 1022 | # SHUFFLE |
| 1023 | c2=[] |
| 1024 | while len(c)>0: |
| 1025 | i=int(random.random()*len(c)) |
| 1026 | c2.append(c[i]) |
| 1027 | del c[i] |
| 1028 | c=c2 |
| 1029 | for ci in c: |
| 1030 | t="" |
| 1031 | sh=() |
| 1032 | sl=() |
| 1033 | for i in range(len(ci)): |
| 1034 | if ci[i]=="R": |
| 1035 | s="%s:%s"%(1,sh0[i]-1) |
| 1036 | sl=sl+(slice(1,sh0[i]-1),) |
| 1037 | sh=sh+(sh0[i]-2,) |
| 1038 | if ci[i]=="U": |
| 1039 | s=":%s"%(sh0[i]-1) |
| 1040 | sh=sh+(sh0[i]-1,) |
| 1041 | sl=sl+(slice(0,sh0[i]-1),) |
| 1042 | if ci[i]=="L": |
| 1043 | s="2:" |
| 1044 | sh=sh+(sh0[i]-2,) |
| 1045 | sl=sl+(slice(2,sh0[i]),) |
| 1046 | if ci[i]=="P": |
| 1047 | s="%s"%(int(sh0[i]/2)) |
| 1048 | sl=sl+(int(sh0[i]/2),) |
| 1049 | if ci[i]=="C": |
| 1050 | s=":" |
| 1051 | sh=sh+(sh0[i],) |
| 1052 | sl=sl+(slice(0,sh0[i]),) |
| 1053 | if ci[i]=="N": |
| 1054 | s="" |
| 1055 | sh=sh+(sh0[i],) |
| 1056 | if len(s)>0: |
| 1057 | if not t=="": t+="," |
| 1058 | t+=s |
| 1059 | if len(sl)==1: sl=sl[0] |
| 1060 | N_found=False |
| 1061 | noN_found=False |
| 1062 | process=len(t)>0 |
| 1063 | for i in ci: |
| 1064 | if i=="N": |
| 1065 | if not noN_found and N_found: process=False |
| 1066 | N_found=True |
| 1067 | else: |
| 1068 | if N_found: process=False |
| 1069 | noNfound=True |
| 1070 | # is there a similar one processed allready |
| 1071 | if process and ci.find("N")==-1: |
| 1072 | for ci2 in processed: |
| 1073 | for chi in check: |
| 1074 | is_perm=True |
| 1075 | for i in range(len(chi)): |
| 1076 | if not ci[i]==ci2[chi[i]]: is_perm=False |
| 1077 | if is_perm: process=False |
| 1078 | # if not process: print ci," rejected" |
| 1079 | if process: |
| 1080 | processed.append(ci) |
| 1081 | for case1 in ["array","constData","taggedData","expandedData"]: |
| 1082 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1083 | tname="test_setslice_%s_rank%s_%s_%s"%(case0,len(sh0),case1,ci) |
| 1084 | text+=" def %s(self):\n"%tname |
| 1085 | a_0=makeNumberedArray(sh0) |
| 1086 | if case0 in ["taggedData", "expandedData"]: |
| 1087 | a1_0=makeNumberedArray(sh0) |
| 1088 | else: |
| 1089 | a1_0=a_0*1. |
| 1090 | |
| 1091 | a_1=makeNumberedArray(sh) |
| 1092 | if case1 in ["taggedData", "expandedData"]: |
| 1093 | a1_1=makeNumberedArray(sh) |
| 1094 | else: |
| 1095 | a1_1=a_1*1. |
| 1096 | |
| 1097 | text+=mkText(case0,"arg",a_0,a1_0) |
| 1098 | text+=mkText(case1,"val",a_1,a1_1) |
| 1099 | text+=" arg[%s]=val\n"%t |
| 1100 | a_0.__setitem__(sl,a_1) |
| 1101 | a1_0.__setitem__(sl,a1_1) |
| 1102 | if Lsup(a_0-a1_0)==0.: |
| 1103 | text+=mkText("constData","ref",a_0,a1_0) |
| 1104 | else: |
| 1105 | text+=mkText("expandedData","ref",a_0,a1_0) |
| 1106 | text+=" self.failUnless(Lsup(arg-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n" |
| 1107 | |
| 1108 | if case0 == "taggedData" or case1 == "taggedData": |
| 1109 | t_prog_with_tags+=text |
| 1110 | else: |
| 1111 | t_prog+=text |
| 1112 | |
| 1113 | print test_header |
| 1114 | # print t_prog |
| 1115 | print t_prog_with_tags |
| 1116 | print test_tail |
| 1117 | 1/0 |
| 1118 | |
| 1119 | #======================================================================================================= |
| 1120 | # (non)symmetric part |
| 1121 | #======================================================================================================= |
| 1122 | from esys.escript import * |
| 1123 | for name in ["symmetric", "nonsymmetric"]: |
| 1124 | f=1. |
| 1125 | if name=="nonsymmetric": f=-1 |
| 1126 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
| 1127 | for sh0 in [ (3,3), (2,3,2,3)]: |
| 1128 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1129 | tname="test_%s_%s_rank%s"%(name,case0,len(sh0)) |
| 1130 | text+=" def %s(self):\n"%tname |
| 1131 | a_0=makeNumberedArray(sh0,s=1.) |
| 1132 | r_0=(a_0+f*transpose(a_0))/2. |
| 1133 | if case0 in ["taggedData", "expandedData"]: |
| 1134 | a1_0=makeNumberedArray(sh0,s=-1.) |
| 1135 | r1_0=(a1_0+f*transpose(a1_0))/2. |
| 1136 | else: |
| 1137 | a1_0=a_0 |
| 1138 | r1_0=r_0 |
| 1139 | text+=mkText(case0,"arg",a_0,a1_0) |
| 1140 | text+=" res=%s(arg)\n"%name |
| 1141 | if case0=="Symbol": |
| 1142 | text+=mkText("array","s",a_0,a1_0) |
| 1143 | text+=" sub=res.substitute({arg:s})\n" |
| 1144 | res="sub" |
| 1145 | text+=mkText("array","ref",r_0,r1_0) |
| 1146 | else: |
| 1147 | res="res" |
| 1148 | text+=mkText(case0,"ref",r_0,r1_0) |
| 1149 | text+=mkTypeAndShapeTest(case0,sh0,"res") |
| 1150 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1151 | |
| 1152 | if case0 == "taggedData" : |
| 1153 | t_prog_with_tags+=text |
| 1154 | else: |
| 1155 | t_prog+=text |
| 1156 | print test_header |
| 1157 | print t_prog |
| 1158 | # print t_prog_with_tags |
| 1159 | print test_tail |
| 1160 | 1/0 |
| 1161 | |
| 1162 | #======================================================================================================= |
| 1163 | # eigenvalues |
| 1164 | #======================================================================================================= |
| 1165 | import numarray.linear_algebra |
| 1166 | name="eigenvalues" |
| 1167 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
| 1168 | for sh0 in [ (1,1), (2,2), (3,3)]: |
| 1169 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1170 | tname="test_%s_%s_dim%s"%(name,case0,sh0[0]) |
| 1171 | text+=" def %s(self):\n"%tname |
| 1172 | a_0=makeArray(sh0,[-1.,1]) |
| 1173 | a_0=(a_0+numarray.transpose(a_0))/2. |
| 1174 | ev=numarray.linear_algebra.eigenvalues(a_0) |
| 1175 | ev.sort() |
| 1176 | if case0 in ["taggedData", "expandedData"]: |
| 1177 | a1_0=makeArray(sh0,[-1.,1]) |
| 1178 | a1_0=(a1_0+numarray.transpose(a1_0))/2. |
| 1179 | ev1=numarray.linear_algebra.eigenvalues(a1_0) |
| 1180 | ev1.sort() |
| 1181 | else: |
| 1182 | a1_0=a_0 |
| 1183 | ev1=ev |
| 1184 | text+=mkText(case0,"arg",a_0,a1_0) |
| 1185 | text+=" res=%s(arg)\n"%name |
| 1186 | if case0=="Symbol": |
| 1187 | text+=mkText("array","s",a_0,a1_0) |
| 1188 | text+=" sub=res.substitute({arg:s})\n" |
| 1189 | res="sub" |
| 1190 | text+=mkText("array","ref",ev,ev1) |
| 1191 | else: |
| 1192 | res="res" |
| 1193 | text+=mkText(case0,"ref",ev,ev1) |
| 1194 | text+=mkTypeAndShapeTest(case0,(sh0[0],),"res") |
| 1195 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1196 | |
| 1197 | if case0 == "taggedData" : |
| 1198 | t_prog_with_tags+=text |
| 1199 | else: |
| 1200 | t_prog+=text |
| 1201 | print test_header |
| 1202 | # print t_prog |
| 1203 | print t_prog_with_tags |
| 1204 | print test_tail |
| 1205 | 1/0 |
| 1206 | |
| 1207 | #======================================================================================================= |
| 1208 | # get slices |
| 1209 | #======================================================================================================= |
| 1210 | for case0 in ["constData","taggedData","expandedData","Symbol"]: |
| 1211 | for sh0 in [ (3,), (3,4), (3,4,3) ,(4,3,5,3)]: |
| 1212 | # get perm: |
| 1213 | if len(sh0)==2: |
| 1214 | check=[[1,0]] |
| 1215 | elif len(sh0)==3: |
| 1216 | check=[[1,0,2], |
| 1217 | [1,2,0], |
| 1218 | [2,1,0], |
| 1219 | [2,0,2], |
| 1220 | [0,2,1]] |
| 1221 | elif len(sh0)==4: |
| 1222 | check=[[0,1,3,2], |
| 1223 | [0,2,1,3], |
| 1224 | [0,2,3,1], |
| 1225 | [0,3,2,1], |
| 1226 | [0,3,1,2] , |
| 1227 | [1,0,2,3], |
| 1228 | [1,0,3,2], |
| 1229 | [1,2,0,3], |
| 1230 | [1,2,3,0], |
| 1231 | [1,3,2,0], |
| 1232 | [1,3,0,2], |
| 1233 | [2,0,1,3], |
| 1234 | [2,0,3,1], |
| 1235 | [2,1,0,3], |
| 1236 | [2,1,3,0], |
| 1237 | [2,3,1,0], |
| 1238 | [2,3,0,1], |
| 1239 | [3,0,1,2], |
| 1240 | [3,0,2,1], |
| 1241 | [3,1,0,2], |
| 1242 | [3,1,2,0], |
| 1243 | [3,2,1,0], |
| 1244 | [3,2,0,1]] |
| 1245 | else: |
| 1246 | check=[] |
| 1247 | |
| 1248 | # create the test cases: |
| 1249 | processed=[] |
| 1250 | l=["R","U","L","P","C","N"] |
| 1251 | c=[""] |
| 1252 | for i in range(len(sh0)): |
| 1253 | tmp=[] |
| 1254 | for ci in c: |
| 1255 | tmp+=[ci+li for li in l] |
| 1256 | c=tmp |
| 1257 | # SHUFFLE |
| 1258 | c2=[] |
| 1259 | while len(c)>0: |
| 1260 | i=int(random.random()*len(c)) |
| 1261 | c2.append(c[i]) |
| 1262 | del c[i] |
| 1263 | c=c2 |
| 1264 | for ci in c: |
| 1265 | t="" |
| 1266 | sh=() |
| 1267 | for i in range(len(ci)): |
| 1268 | if ci[i]=="R": |
| 1269 | s="%s:%s"%(1,sh0[i]-1) |
| 1270 | sh=sh+(sh0[i]-2,) |
| 1271 | if ci[i]=="U": |
| 1272 | s=":%s"%(sh0[i]-1) |
| 1273 | sh=sh+(sh0[i]-1,) |
| 1274 | if ci[i]=="L": |
| 1275 | s="2:" |
| 1276 | sh=sh+(sh0[i]-2,) |
| 1277 | if ci[i]=="P": |
| 1278 | s="%s"%(int(sh0[i]/2)) |
| 1279 | if ci[i]=="C": |
| 1280 | s=":" |
| 1281 | sh=sh+(sh0[i],) |
| 1282 | if ci[i]=="N": |
| 1283 | s="" |
| 1284 | sh=sh+(sh0[i],) |
| 1285 | if len(s)>0: |
| 1286 | if not t=="": t+="," |
| 1287 | t+=s |
| 1288 | N_found=False |
| 1289 | noN_found=False |
| 1290 | process=len(t)>0 |
| 1291 | for i in ci: |
| 1292 | if i=="N": |
| 1293 | if not noN_found and N_found: process=False |
| 1294 | N_found=True |
| 1295 | else: |
| 1296 | if N_found: process=False |
| 1297 | noNfound=True |
| 1298 | # is there a similar one processed allready |
| 1299 | if process and ci.find("N")==-1: |
| 1300 | for ci2 in processed: |
| 1301 | for chi in check: |
| 1302 | is_perm=True |
| 1303 | for i in range(len(chi)): |
| 1304 | if not ci[i]==ci2[chi[i]]: is_perm=False |
| 1305 | if is_perm: process=False |
| 1306 | # if not process: print ci," rejected" |
| 1307 | if process: |
| 1308 | processed.append(ci) |
| 1309 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1310 | tname="test_getslice_%s_rank%s_%s"%(case0,len(sh0),ci) |
| 1311 | text+=" def %s(self):\n"%tname |
| 1312 | a_0=makeNumberedArray(sh0,s=1) |
| 1313 | if case0 in ["taggedData", "expandedData"]: |
| 1314 | a1_0=makeNumberedArray(sh0,s=-1.) |
| 1315 | else: |
| 1316 | a1_0=a_0 |
| 1317 | r=eval("a_0[%s]"%t) |
| 1318 | r1=eval("a1_0[%s]"%t) |
| 1319 | text+=mkText(case0,"arg",a_0,a1_0) |
| 1320 | text+=" res=arg[%s]\n"%t |
| 1321 | if case0=="Symbol": |
| 1322 | text+=mkText("array","s",a_0,a1_0) |
| 1323 | text+=" sub=res.substitute({arg:s})\n" |
| 1324 | res="sub" |
| 1325 | text+=mkText("array","ref",r,r1) |
| 1326 | else: |
| 1327 | res="res" |
| 1328 | text+=mkText(case0,"ref",r,r1) |
| 1329 | text+=mkTypeAndShapeTest(case0,sh,"res") |
| 1330 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1331 | |
| 1332 | if case0 == "taggedData" : |
| 1333 | t_prog_with_tags+=text |
| 1334 | else: |
| 1335 | t_prog+=text |
| 1336 | |
| 1337 | print test_header |
| 1338 | # print t_prog |
| 1339 | print t_prog_with_tags |
| 1340 | print test_tail |
| 1341 | 1/0 |
| 1342 | #============================================================================================ |
| 1343 | def innerTEST(arg0,arg1): |
| 1344 | if isinstance(arg0,float): |
| 1345 | out=numarray.array(arg0*arg1) |
| 1346 | else: |
| 1347 | out=(arg0*arg1).sum() |
| 1348 | return out |
| 1349 | |
| 1350 | def outerTEST(arg0,arg1): |
| 1351 | if isinstance(arg0,float): |
| 1352 | out=numarray.array(arg0*arg1) |
| 1353 | elif isinstance(arg1,float): |
| 1354 | out=numarray.array(arg0*arg1) |
| 1355 | else: |
| 1356 | out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape) |
| 1357 | return out |
| 1358 | |
| 1359 | def tensorProductTest(arg0,arg1,sh_s): |
| 1360 | if isinstance(arg0,float): |
| 1361 | out=numarray.array(arg0*arg1) |
| 1362 | elif isinstance(arg1,float): |
| 1363 | out=numarray.array(arg0*arg1) |
| 1364 | elif len(sh_s)==0: |
| 1365 | out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape) |
| 1366 | else: |
| 1367 | l=len(sh_s) |
| 1368 | sh0=arg0.shape[:arg0.rank-l] |
| 1369 | sh1=arg1.shape[l:] |
| 1370 | ls,l0,l1=1,1,1 |
| 1371 | for i in sh_s: ls*=i |
| 1372 | for i in sh0: l0*=i |
| 1373 | for i in sh1: l1*=i |
| 1374 | out1=numarray.outerproduct(arg0,arg1).resize((l0,ls,ls,l1)) |
| 1375 | out2=numarray.zeros((l0,l1),numarray.Float) |
| 1376 | for i0 in range(l0): |
| 1377 | for i1 in range(l1): |
| 1378 | for i in range(ls): out2[i0,i1]+=out1[i0,i,i,i1] |
| 1379 | out=out2.resize(sh0+sh1) |
| 1380 | return out |
| 1381 | |
| 1382 | def testMatrixMult(arg0,arg1,sh_s): |
| 1383 | return numarray.matrixmultiply(arg0,arg1) |
| 1384 | |
| 1385 | |
| 1386 | def testTensorMult(arg0,arg1,sh_s): |
| 1387 | if len(arg0)==2: |
| 1388 | return numarray.matrixmultiply(arg0,arg1) |
| 1389 | else: |
| 1390 | if arg1.rank==4: |
| 1391 | out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[2],arg1.shape[3]),numarray.Float) |
| 1392 | for i0 in range(arg0.shape[0]): |
| 1393 | for i1 in range(arg0.shape[1]): |
| 1394 | for i2 in range(arg0.shape[2]): |
| 1395 | for i3 in range(arg0.shape[3]): |
| 1396 | for j2 in range(arg1.shape[2]): |
| 1397 | for j3 in range(arg1.shape[3]): |
| 1398 | out[i0,i1,j2,j3]+=arg0[i0,i1,i2,i3]*arg1[i2,i3,j2,j3] |
| 1399 | elif arg1.rank==3: |
| 1400 | out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[2]),numarray.Float) |
| 1401 | for i0 in range(arg0.shape[0]): |
| 1402 | for i1 in range(arg0.shape[1]): |
| 1403 | for i2 in range(arg0.shape[2]): |
| 1404 | for i3 in range(arg0.shape[3]): |
| 1405 | for j2 in range(arg1.shape[2]): |
| 1406 | out[i0,i1,j2]+=arg0[i0,i1,i2,i3]*arg1[i2,i3,j2] |
| 1407 | elif arg1.rank==2: |
| 1408 | out=numarray.zeros((arg0.shape[0],arg0.shape[1]),numarray.Float) |
| 1409 | for i0 in range(arg0.shape[0]): |
| 1410 | for i1 in range(arg0.shape[1]): |
| 1411 | for i2 in range(arg0.shape[2]): |
| 1412 | for i3 in range(arg0.shape[3]): |
| 1413 | out[i0,i1]+=arg0[i0,i1,i2,i3]*arg1[i2,i3] |
| 1414 | return out |
| 1415 | |
| 1416 | def testReduce(arg0,init_val,test_expr,post_expr): |
| 1417 | out=init_val |
| 1418 | if isinstance(arg0,float): |
| 1419 | out=eval(test_expr.replace("%a1%","arg0")) |
| 1420 | elif arg0.rank==0: |
| 1421 | out=eval(test_expr.replace("%a1%","arg0")) |
| 1422 | elif arg0.rank==1: |
| 1423 | for i0 in range(arg0.shape[0]): |
| 1424 | out=eval(test_expr.replace("%a1%","arg0[i0]")) |
| 1425 | elif arg0.rank==2: |
| 1426 | for i0 in range(arg0.shape[0]): |
| 1427 | for i1 in range(arg0.shape[1]): |
| 1428 | out=eval(test_expr.replace("%a1%","arg0[i0,i1]")) |
| 1429 | elif arg0.rank==3: |
| 1430 | for i0 in range(arg0.shape[0]): |
| 1431 | for i1 in range(arg0.shape[1]): |
| 1432 | for i2 in range(arg0.shape[2]): |
| 1433 | out=eval(test_expr.replace("%a1%","arg0[i0,i1,i2]")) |
| 1434 | elif arg0.rank==4: |
| 1435 | for i0 in range(arg0.shape[0]): |
| 1436 | for i1 in range(arg0.shape[1]): |
| 1437 | for i2 in range(arg0.shape[2]): |
| 1438 | for i3 in range(arg0.shape[3]): |
| 1439 | out=eval(test_expr.replace("%a1%","arg0[i0,i1,i2,i3]")) |
| 1440 | return eval(post_expr) |
| 1441 | |
| 1442 | def clipTEST(arg0,mn,mx): |
| 1443 | if isinstance(arg0,float): |
| 1444 | return max(min(arg0,mx),mn) |
| 1445 | out=numarray.zeros(arg0.shape,numarray.Float64) |
| 1446 | if arg0.rank==1: |
| 1447 | for i0 in range(arg0.shape[0]): |
| 1448 | out[i0]=max(min(arg0[i0],mx),mn) |
| 1449 | elif arg0.rank==2: |
| 1450 | for i0 in range(arg0.shape[0]): |
| 1451 | for i1 in range(arg0.shape[1]): |
| 1452 | out[i0,i1]=max(min(arg0[i0,i1],mx),mn) |
| 1453 | elif arg0.rank==3: |
| 1454 | for i0 in range(arg0.shape[0]): |
| 1455 | for i1 in range(arg0.shape[1]): |
| 1456 | for i2 in range(arg0.shape[2]): |
| 1457 | out[i0,i1,i2]=max(min(arg0[i0,i1,i2],mx),mn) |
| 1458 | elif arg0.rank==4: |
| 1459 | for i0 in range(arg0.shape[0]): |
| 1460 | for i1 in range(arg0.shape[1]): |
| 1461 | for i2 in range(arg0.shape[2]): |
| 1462 | for i3 in range(arg0.shape[3]): |
| 1463 | out[i0,i1,i2,i3]=max(min(arg0[i0,i1,i2,i3],mx),mn) |
| 1464 | return out |
| 1465 | def minimumTEST(arg0,arg1): |
| 1466 | if isinstance(arg0,float): |
| 1467 | if isinstance(arg1,float): |
| 1468 | if arg0>arg1: |
| 1469 | return arg1 |
| 1470 | else: |
| 1471 | return arg0 |
| 1472 | else: |
| 1473 | arg0=numarray.ones(arg1.shape)*arg0 |
| 1474 | else: |
| 1475 | if isinstance(arg1,float): |
| 1476 | arg1=numarray.ones(arg0.shape)*arg1 |
| 1477 | out=numarray.zeros(arg0.shape,numarray.Float64) |
| 1478 | if arg0.rank==0: |
| 1479 | if arg0>arg1: |
| 1480 | out=arg1 |
| 1481 | else: |
| 1482 | out=arg0 |
| 1483 | elif arg0.rank==1: |
| 1484 | for i0 in range(arg0.shape[0]): |
| 1485 | if arg0[i0]>arg1[i0]: |
| 1486 | out[i0]=arg1[i0] |
| 1487 | else: |
| 1488 | out[i0]=arg0[i0] |
| 1489 | elif arg0.rank==2: |
| 1490 | for i0 in range(arg0.shape[0]): |
| 1491 | for i1 in range(arg0.shape[1]): |
| 1492 | if arg0[i0,i1]>arg1[i0,i1]: |
| 1493 | out[i0,i1]=arg1[i0,i1] |
| 1494 | else: |
| 1495 | out[i0,i1]=arg0[i0,i1] |
| 1496 | elif arg0.rank==3: |
| 1497 | for i0 in range(arg0.shape[0]): |
| 1498 | for i1 in range(arg0.shape[1]): |
| 1499 | for i2 in range(arg0.shape[2]): |
| 1500 | if arg0[i0,i1,i2]>arg1[i0,i1,i2]: |
| 1501 | out[i0,i1,i2]=arg1[i0,i1,i2] |
| 1502 | else: |
| 1503 | out[i0,i1,i2]=arg0[i0,i1,i2] |
| 1504 | elif arg0.rank==4: |
| 1505 | for i0 in range(arg0.shape[0]): |
| 1506 | for i1 in range(arg0.shape[1]): |
| 1507 | for i2 in range(arg0.shape[2]): |
| 1508 | for i3 in range(arg0.shape[3]): |
| 1509 | if arg0[i0,i1,i2,i3]>arg1[i0,i1,i2,i3]: |
| 1510 | out[i0,i1,i2,i3]=arg1[i0,i1,i2,i3] |
| 1511 | else: |
| 1512 | out[i0,i1,i2,i3]=arg0[i0,i1,i2,i3] |
| 1513 | return out |
| 1514 | |
| 1515 | def unrollLoops(a,b,o,arg,tap="",x="x"): |
| 1516 | out="" |
| 1517 | if a.rank==1: |
| 1518 | z="" |
| 1519 | for i99 in range(a.shape[0]): |
| 1520 | if not z=="": z+="+" |
| 1521 | if o=="1": |
| 1522 | z+="(%s)*%s[%s]"%(a[i99]+b[i99],x,i99) |
| 1523 | else: |
| 1524 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i99],x,i99,b[i99],x,i99) |
| 1525 | |
| 1526 | out+=tap+"%s=%s\n"%(arg,z) |
| 1527 | |
| 1528 | elif a.rank==2: |
| 1529 | for i0 in range(a.shape[0]): |
| 1530 | z="" |
| 1531 | for i99 in range(a.shape[1]): |
| 1532 | if not z=="": z+="+" |
| 1533 | if o=="1": |
| 1534 | z+="(%s)*x[%s]"%(a[i0,i99]+b[i0,i99],i99) |
| 1535 | else: |
| 1536 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i99],x,i99,b[i0,i99],x,i99) |
| 1537 | |
| 1538 | out+=tap+"%s[%s]=%s\n"%(arg,i0,z) |
| 1539 | elif a.rank==3: |
| 1540 | for i0 in range(a.shape[0]): |
| 1541 | for i1 in range(a.shape[1]): |
| 1542 | z="" |
| 1543 | for i99 in range(a.shape[2]): |
| 1544 | if not z=="": z+="+" |
| 1545 | if o=="1": |
| 1546 | z+="(%s)*%s[%s]"%(a[i0,i1,i99]+b[i0,i1,i99],x,i99) |
| 1547 | else: |
| 1548 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i99],x,i99,b[i0,i1,i99],x,i99) |
| 1549 | |
| 1550 | out+=tap+"%s[%s,%s]=%s\n"%(arg,i0,i1,z) |
| 1551 | elif a.rank==4: |
| 1552 | for i0 in range(a.shape[0]): |
| 1553 | for i1 in range(a.shape[1]): |
| 1554 | for i2 in range(a.shape[2]): |
| 1555 | z="" |
| 1556 | for i99 in range(a.shape[3]): |
| 1557 | if not z=="": z+="+" |
| 1558 | if o=="1": |
| 1559 | z+="(%s)*%s[%s]"%(a[i0,i1,i2,i99]+b[i0,i1,i2,i99],x,i99) |
| 1560 | else: |
| 1561 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i2,i99],x,i99,b[i0,i1,i2,i99],x,i99) |
| 1562 | |
| 1563 | out+=tap+"%s[%s,%s,%s]=%s\n"%(arg,i0,i1,i2,z) |
| 1564 | elif a.rank==5: |
| 1565 | for i0 in range(a.shape[0]): |
| 1566 | for i1 in range(a.shape[1]): |
| 1567 | for i2 in range(a.shape[2]): |
| 1568 | for i3 in range(a.shape[3]): |
| 1569 | z="" |
| 1570 | for i99 in range(a.shape[4]): |
| 1571 | if not z=="": z+="+" |
| 1572 | if o=="1": |
| 1573 | z+="(%s)*%s[%s]"%(a[i0,i1,i2,i3,i99]+b[i0,i1,i2,i3,i99],x,i99) |
| 1574 | else: |
| 1575 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i2,i3,i99],x,i99,b[i0,i1,i2,i3,i99],x,i99) |
| 1576 | |
| 1577 | out+=tap+"%s[%s,%s,%s,%s]=%s\n"%(arg,i0,i1,i2,i3,z) |
| 1578 | return out |
| 1579 | |
| 1580 | def unrollLoopsOfGrad(a,b,o,arg,tap=""): |
| 1581 | out="" |
| 1582 | if a.rank==1: |
| 1583 | for i99 in range(a.shape[0]): |
| 1584 | if o=="1": |
| 1585 | out+=tap+"%s[%s]=(%s)\n"%(arg,i99,a[i99]+b[i99]) |
| 1586 | else: |
| 1587 | out+=tap+"%s[%s]=o*(%s)*x_ref[%s]**(o-1)+(%s)\n"%(arg,i99,a[i99],i99,b[i99]) |
| 1588 | |
| 1589 | elif a.rank==2: |
| 1590 | for i0 in range(a.shape[0]): |
| 1591 | for i99 in range(a.shape[1]): |
| 1592 | if o=="1": |
| 1593 | out+=tap+"%s[%s,%s]=(%s)\n"%(arg,i0,i99,a[i0,i99]+b[i0,i99]) |
| 1594 | else: |
| 1595 | out+=tap+"%s[%s,%s]=o*(%s)*x_ref[%s]**(o-1)+(%s)\n"%(arg,i0,i99,a[i0,i99],i99,b[i0,i99]) |
| 1596 | |
| 1597 | elif a.rank==3: |
| 1598 | for i0 in range(a.shape[0]): |
| 1599 | for i1 in range(a.shape[1]): |
| 1600 | for i99 in range(a.shape[2]): |
| 1601 | if o=="1": |
| 1602 | out+=tap+"%s[%s,%s,%s]=(%s)\n"%(arg,i0,i1,i99,a[i0,i1,i99]+b[i0,i1,i99]) |
| 1603 | else: |
| 1604 | 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]) |
| 1605 | |
| 1606 | elif a.rank==4: |
| 1607 | for i0 in range(a.shape[0]): |
| 1608 | for i1 in range(a.shape[1]): |
| 1609 | for i2 in range(a.shape[2]): |
| 1610 | for i99 in range(a.shape[3]): |
| 1611 | if o=="1": |
| 1612 | out+=tap+"%s[%s,%s,%s,%s]=(%s)\n"%(arg,i0,i1,i2,i99,a[i0,i1,i2,i99]+b[i0,i1,i2,i99]) |
| 1613 | else: |
| 1614 | 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]) |
| 1615 | return out |
| 1616 | def unrollLoopsOfDiv(a,b,o,arg,tap=""): |
| 1617 | out=tap+arg+"=" |
| 1618 | if o=="1": |
| 1619 | z=0. |
| 1620 | for i99 in range(a.shape[0]): |
| 1621 | z+=b[i99,i99]+a[i99,i99] |
| 1622 | out+="(%s)"%z |
| 1623 | else: |
| 1624 | z=0. |
| 1625 | for i99 in range(a.shape[0]): |
| 1626 | z+=b[i99,i99] |
| 1627 | if i99>0: out+="+" |
| 1628 | out+="o*(%s)*x_ref[%s]**(o-1)"%(a[i99,i99],i99) |
| 1629 | out+="+(%s)"%z |
| 1630 | return out |
| 1631 | |
| 1632 | def unrollLoopsOfInteriorIntegral(a,b,where,arg,tap=""): |
| 1633 | if where=="Function": |
| 1634 | xfac_o=1. |
| 1635 | xfac_op=0. |
| 1636 | z_fac=1./2. |
| 1637 | z_fac_s="" |
| 1638 | zo_fac_s="/(o+1.)" |
| 1639 | elif where=="FunctionOnBoundary": |
| 1640 | xfac_o=1. |
| 1641 | xfac_op=0. |
| 1642 | z_fac=1. |
| 1643 | z_fac_s="*dim" |
| 1644 | zo_fac_s="*(1+2.*(dim-1.)/(o+1.))" |
| 1645 | elif where in ["FunctionOnContactZero","FunctionOnContactOne"]: |
| 1646 | xfac_o=0. |
| 1647 | xfac_op=1. |
| 1648 | z_fac=1./2. |
| 1649 | z_fac_s="" |
| 1650 | zo_fac_s="/(o+1.)" |
| 1651 | out="" |
| 1652 | if a.rank==1: |
| 1653 | zo=0. |
| 1654 | zop=0. |
| 1655 | z=0. |
| 1656 | for i99 in range(a.shape[0]): |
| 1657 | if i99==0: |
| 1658 | zo+= xfac_o*a[i99] |
| 1659 | zop+= xfac_op*a[i99] |
| 1660 | else: |
| 1661 | zo+=a[i99] |
| 1662 | z+=b[i99] |
| 1663 | |
| 1664 | out+=tap+"%s=(%s)%s+(%s)%s"%(arg,zo,zo_fac_s,z*z_fac,z_fac_s) |
| 1665 | if zop==0.: |
| 1666 | out+="\n" |
| 1667 | else: |
| 1668 | out+="+(%s)*0.5**o\n"%zop |
| 1669 | elif a.rank==2: |
| 1670 | for i0 in range(a.shape[0]): |
| 1671 | zo=0. |
| 1672 | zop=0. |
| 1673 | z=0. |
| 1674 | for i99 in range(a.shape[1]): |
| 1675 | if i99==0: |
| 1676 | zo+= xfac_o*a[i0,i99] |
| 1677 | zop+= xfac_op*a[i0,i99] |
| 1678 | else: |
| 1679 | zo+=a[i0,i99] |
| 1680 | z+=b[i0,i99] |
| 1681 | |
| 1682 | out+=tap+"%s[%s]=(%s)%s+(%s)%s"%(arg,i0,zo,zo_fac_s,z*z_fac,z_fac_s) |
| 1683 | if zop==0.: |
| 1684 | out+="\n" |
| 1685 | else: |
| 1686 | out+="+(%s)*0.5**o\n"%zop |
| 1687 | elif a.rank==3: |
| 1688 | for i0 in range(a.shape[0]): |
| 1689 | for i1 in range(a.shape[1]): |
| 1690 | zo=0. |
| 1691 | zop=0. |
| 1692 | z=0. |
| 1693 | for i99 in range(a.shape[2]): |
| 1694 | if i99==0: |
| 1695 | zo+= xfac_o*a[i0,i1,i99] |
| 1696 | zop+= xfac_op*a[i0,i1,i99] |
| 1697 | else: |
| 1698 | zo+=a[i0,i1,i99] |
| 1699 | z+=b[i0,i1,i99] |
| 1700 | |
| 1701 | out+=tap+"%s[%s,%s]=(%s)%s+(%s)%s"%(arg,i0,i1,zo,zo_fac_s,z*z_fac,z_fac_s) |
| 1702 | if zop==0.: |
| 1703 | out+="\n" |
| 1704 | else: |
| 1705 | out+="+(%s)*0.5**o\n"%zop |
| 1706 | elif a.rank==4: |
| 1707 | for i0 in range(a.shape[0]): |
| 1708 | for i1 in range(a.shape[1]): |
| 1709 | for i2 in range(a.shape[2]): |
| 1710 | zo=0. |
| 1711 | zop=0. |
| 1712 | z=0. |
| 1713 | for i99 in range(a.shape[3]): |
| 1714 | if i99==0: |
| 1715 | zo+= xfac_o*a[i0,i1,i2,i99] |
| 1716 | zop+= xfac_op*a[i0,i1,i2,i99] |
| 1717 | |
| 1718 | else: |
| 1719 | zo+=a[i0,i1,i2,i99] |
| 1720 | z+=b[i0,i1,i2,i99] |
| 1721 | |
| 1722 | out+=tap+"%s[%s,%s,%s]=(%s)%s+(%s)%s"%(arg,i0,i1,i2,zo,zo_fac_s,z*z_fac,z_fac_s) |
| 1723 | if zop==0.: |
| 1724 | out+="\n" |
| 1725 | else: |
| 1726 | out+="+(%s)*0.5**o\n"%zop |
| 1727 | |
| 1728 | elif a.rank==5: |
| 1729 | for i0 in range(a.shape[0]): |
| 1730 | for i1 in range(a.shape[1]): |
| 1731 | for i2 in range(a.shape[2]): |
| 1732 | for i3 in range(a.shape[3]): |
| 1733 | zo=0. |
| 1734 | zop=0. |
| 1735 | z=0. |
| 1736 | for i99 in range(a.shape[4]): |
| 1737 | if i99==0: |
| 1738 | zo+= xfac_o*a[i0,i1,i2,i3,i99] |
| 1739 | zop+= xfac_op*a[i0,i1,i2,i3,i99] |
| 1740 | |
| 1741 | else: |
| 1742 | zo+=a[i0,i1,i2,i3,i99] |
| 1743 | z+=b[i0,i1,i2,i3,i99] |
| 1744 | 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) |
| 1745 | if zop==0.: |
| 1746 | out+="\n" |
| 1747 | else: |
| 1748 | out+="+(%s)*0.5**o\n"%zop |
| 1749 | |
| 1750 | return out |
| 1751 | def unrollLoopsSimplified(b,arg,tap=""): |
| 1752 | out="" |
| 1753 | if isinstance(b,float) or b.rank==0: |
| 1754 | out+=tap+"%s=(%s)*x[0]\n"%(arg,str(b)) |
| 1755 | |
| 1756 | elif b.rank==1: |
| 1757 | for i0 in range(b.shape[0]): |
| 1758 | out+=tap+"%s[%s]=(%s)*x[%s]\n"%(arg,i0,b[i0],i0) |
| 1759 | elif b.rank==2: |
| 1760 | for i0 in range(b.shape[0]): |
| 1761 | for i1 in range(b.shape[1]): |
| 1762 | out+=tap+"%s[%s,%s]=(%s)*x[%s]\n"%(arg,i0,i1,b[i0,i1],i1) |
| 1763 | elif b.rank==3: |
| 1764 | for i0 in range(b.shape[0]): |
| 1765 | for i1 in range(b.shape[1]): |
| 1766 | for i2 in range(b.shape[2]): |
| 1767 | out+=tap+"%s[%s,%s,%s]=(%s)*x[%s]\n"%(arg,i0,i1,i2,b[i0,i1,i2],i2) |
| 1768 | elif b.rank==4: |
| 1769 | for i0 in range(b.shape[0]): |
| 1770 | for i1 in range(b.shape[1]): |
| 1771 | for i2 in range(b.shape[2]): |
| 1772 | for i3 in range(b.shape[3]): |
| 1773 | out+=tap+"%s[%s,%s,%s,%s]=(%s)*x[%s]\n"%(arg,i0,i1,i2,i3,b[i0,i1,i2,i3],i3) |
| 1774 | return out |
| 1775 | |
| 1776 | def unrollLoopsOfL2(b,where,arg,tap=""): |
| 1777 | out="" |
| 1778 | z=[] |
| 1779 | if isinstance(b,float) or b.rank==0: |
| 1780 | z.append(b**2) |
| 1781 | elif b.rank==1: |
| 1782 | for i0 in range(b.shape[0]): |
| 1783 | z.append(b[i0]**2) |
| 1784 | elif b.rank==2: |
| 1785 | for i1 in range(b.shape[1]): |
| 1786 | s=0 |
| 1787 | for i0 in range(b.shape[0]): |
| 1788 | s+=b[i0,i1]**2 |
| 1789 | z.append(s) |
| 1790 | elif b.rank==3: |
| 1791 | for i2 in range(b.shape[2]): |
| 1792 | s=0 |
| 1793 | for i0 in range(b.shape[0]): |
| 1794 | for i1 in range(b.shape[1]): |
| 1795 | s+=b[i0,i1,i2]**2 |
| 1796 | z.append(s) |
| 1797 | |
| 1798 | elif b.rank==4: |
| 1799 | for i3 in range(b.shape[3]): |
| 1800 | s=0 |
| 1801 | for i0 in range(b.shape[0]): |
| 1802 | for i1 in range(b.shape[1]): |
| 1803 | for i2 in range(b.shape[2]): |
| 1804 | s+=b[i0,i1,i2,i3]**2 |
| 1805 | z.append(s) |
| 1806 | if where=="Function": |
| 1807 | xfac_o=1. |
| 1808 | xfac_op=0. |
| 1809 | z_fac_s="" |
| 1810 | zo_fac_s="" |
| 1811 | zo_fac=1./3. |
| 1812 | elif where=="FunctionOnBoundary": |
| 1813 | xfac_o=1. |
| 1814 | xfac_op=0. |
| 1815 | z_fac_s="*dim" |
| 1816 | zo_fac_s="*(2.*dim+1.)/3." |
| 1817 | zo_fac=1. |
| 1818 | elif where in ["FunctionOnContactZero","FunctionOnContactOne"]: |
| 1819 | xfac_o=0. |
| 1820 | xfac_op=1. |
| 1821 | z_fac_s="" |
| 1822 | zo_fac_s="" |
| 1823 | zo_fac=1./3. |
| 1824 | zo=0. |
| 1825 | zop=0. |
| 1826 | for i99 in range(len(z)): |
| 1827 | if i99==0: |
| 1828 | zo+=xfac_o*z[i99] |
| 1829 | zop+=xfac_op*z[i99] |
| 1830 | else: |
| 1831 | zo+=z[i99] |
| 1832 | out+=tap+"%s=sqrt((%s)%s"%(arg,zo*zo_fac,zo_fac_s) |
| 1833 | if zop==0.: |
| 1834 | out+=")\n" |
| 1835 | else: |
| 1836 | out+="+(%s))\n"%(zop*0.5**2) |
| 1837 | return out |
| 1838 | #======================================================================================================= |
| 1839 | # transpose |
| 1840 | #======================================================================================================= |
| 1841 | def transposeTest(r,offset): |
| 1842 | if isinstance(r,float): return r |
| 1843 | s=r.shape |
| 1844 | s1=1 |
| 1845 | for i in s[:offset]: s1*=i |
| 1846 | s2=1 |
| 1847 | for i in s[offset:]: s2*=i |
| 1848 | out=numarray.reshape(r,(s1,s2)) |
| 1849 | out.transpose() |
| 1850 | return numarray.resize(out,s[offset:]+s[:offset]) |
| 1851 | |
| 1852 | name,tt="transpose",transposeTest |
| 1853 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
| 1854 | for sh0 in [ (), (3,), (4,5), (6,2,2),(3,2,3,4)]: |
| 1855 | for offset in range(len(sh0)+1): |
| 1856 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1857 | tname="test_%s_%s_rank%s_offset%s"%(name,case0,len(sh0),offset) |
| 1858 | text+=" def %s(self):\n"%tname |
| 1859 | sh_t=sh0[offset:]+sh0[:offset] |
| 1860 | |
| 1861 | # sh_t=list(sh0) |
| 1862 | # sh_t[offset+1]=sh_t[offset] |
| 1863 | # sh_t=tuple(sh_t) |
| 1864 | # sh_r=[] |
| 1865 | # for i in range(offset): sh_r.append(sh0[i]) |
| 1866 | # for i in range(offset+2,len(sh0)): sh_r.append(sh0[i]) |
| 1867 | # sh_r=tuple(sh_r) |
| 1868 | |
| 1869 | a_0=makeArray(sh0,[-1.,1]) |
| 1870 | if case0 in ["taggedData", "expandedData"]: |
| 1871 | a1_0=makeArray(sh0,[-1.,1]) |
| 1872 | else: |
| 1873 | a1_0=a_0 |
| 1874 | r=tt(a_0,offset) |
| 1875 | r1=tt(a1_0,offset) |
| 1876 | text+=mkText(case0,"arg",a_0,a1_0) |
| 1877 | text+=" res=%s(arg,%s)\n"%(name,offset) |
| 1878 | if case0=="Symbol": |
| 1879 | text+=mkText("array","s",a_0,a1_0) |
| 1880 | text+=" sub=res.substitute({arg:s})\n" |
| 1881 | res="sub" |
| 1882 | text+=mkText("array","ref",r,r1) |
| 1883 | else: |
| 1884 | res="res" |
| 1885 | text+=mkText(case0,"ref",r,r1) |
| 1886 | text+=mkTypeAndShapeTest(case0,sh_t,"res") |
| 1887 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1888 | |
| 1889 | if case0 == "taggedData" : |
| 1890 | t_prog_with_tags+=text |
| 1891 | else: |
| 1892 | t_prog+=text |
| 1893 | |
| 1894 | print test_header |
| 1895 | # print t_prog |
| 1896 | print t_prog_with_tags |
| 1897 | print test_tail |
| 1898 | 1/0 |
| 1899 | #======================================================================================================= |
| 1900 | # L2 |
| 1901 | #======================================================================================================= |
| 1902 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 1903 | for data in ["Data","Symbol"]: |
| 1904 | for sh in [ (),(2,), (4,5), (6,2,2),(4,5,3,2)]: |
| 1905 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1906 | tname="test_L2_on%s_from%s_rank%s"%(where,data,len(sh)) |
| 1907 | text+=" def %s(self):\n"%tname |
| 1908 | text+=" \"\"\"\n" |
| 1909 | text+=" tests L2-norm of %s on the %s\n\n"%(data,where) |
| 1910 | text+=" assumptions: self.domain supports integration on %s\n"%where |
| 1911 | text+=" \"\"\"\n" |
| 1912 | text+=" dim=self.domain.getDim()\n" |
| 1913 | text+=" w=%s(self.domain)\n"%where |
| 1914 | text+=" x=w.getX()\n" |
| 1915 | o="1" |
| 1916 | if len(sh)>0: |
| 1917 | sh_2=sh[:len(sh)-1]+(2,) |
| 1918 | sh_3=sh[:len(sh)-1]+(3,) |
| 1919 | b_2=makeArray(sh[:len(sh)-1]+(2,),[-1.,1]) |
| 1920 | b_3=makeArray(sh[:len(sh)-1]+(3,),[-1.,1]) |
| 1921 | else: |
| 1922 | sh_2=() |
| 1923 | sh_3=() |
| 1924 | b_2=makeArray(sh,[-1.,1]) |
| 1925 | b_3=makeArray(sh,[-1.,1]) |
| 1926 | |
| 1927 | if data=="Symbol": |
| 1928 | val="s" |
| 1929 | res="sub" |
| 1930 | else: |
| 1931 | val="arg" |
| 1932 | res="res" |
| 1933 | text+=" if dim==2:\n" |
| 1934 | if data=="Symbol": |
| 1935 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh_2) |
| 1936 | |
| 1937 | text+=" %s=Data(0,%s,w)\n"%(val,sh_2) |
| 1938 | text+=unrollLoopsSimplified(b_2,val,tap=" ") |
| 1939 | text+=unrollLoopsOfL2(b_2,where,"ref",tap=" ") |
| 1940 | text+="\n else:\n" |
| 1941 | if data=="Symbol": |
| 1942 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh_3) |
| 1943 | text+=" %s=Data(0,%s,w)\n"%(val,sh_3) |
| 1944 | text+=unrollLoopsSimplified(b_3,val,tap=" ") |
| 1945 | text+=unrollLoopsOfL2(b_3,where,"ref",tap=" ") |
| 1946 | text+="\n res=L2(arg)\n" |
| 1947 | if data=="Symbol": |
| 1948 | text+=" sub=res.substitute({arg:s})\n" |
| 1949 | text+=" self.failUnless(isinstance(res,Symbol),\"wrong type of result.\")\n" |
| 1950 | text+=" self.failUnlessEqual(res.getShape(),(),\"wrong shape of result.\")\n" |
| 1951 | else: |
| 1952 | text+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n" |
| 1953 | text+=" self.failUnlessAlmostEqual(%s,ref,int(-log10(self.RES_TOL)),\"wrong result\")\n"%res |
| 1954 | t_prog+=text |
| 1955 | print t_prog |
| 1956 | 1/0 |
| 1957 | |
| 1958 | #======================================================================================================= |
| 1959 | # div |
| 1960 | #======================================================================================================= |
| 1961 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 1962 | for data in ["Data","Symbol"]: |
| 1963 | for case in ["ContinuousFunction","Solution","ReducedSolution"]: |
| 1964 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1965 | tname="test_div_on%s_from%s_%s"%(where,data,case) |
| 1966 | text+=" def %s(self):\n"%tname |
| 1967 | text+=" \"\"\"\n" |
| 1968 | text+=" tests divergence of %s on the %s\n\n"%(data,where) |
| 1969 | text+=" assumptions: %s(self.domain) exists\n"%case |
| 1970 | text+=" self.domain supports div on %s\n"%where |
| 1971 | text+=" \"\"\"\n" |
| 1972 | if case=="ReducedSolution": |
| 1973 | text+=" o=1\n" |
| 1974 | o="1" |
| 1975 | else: |
| 1976 | text+=" o=self.order\n" |
| 1977 | o="o" |
| 1978 | text+=" dim=self.domain.getDim()\n" |
| 1979 | text+=" w_ref=%s(self.domain)\n"%where |
| 1980 | text+=" x_ref=w_ref.getX()\n" |
| 1981 | text+=" w=%s(self.domain)\n"%case |
| 1982 | text+=" x=w.getX()\n" |
| 1983 | a_2=makeArray((2,2),[-1.,1]) |
| 1984 | b_2=makeArray((2,2),[-1.,1]) |
| 1985 | a_3=makeArray((3,3),[-1.,1]) |
| 1986 | b_3=makeArray((3,3),[-1.,1]) |
| 1987 | if data=="Symbol": |
| 1988 | text+=" arg=Symbol(shape=(dim,),dim=dim)\n" |
| 1989 | val="s" |
| 1990 | res="sub" |
| 1991 | else: |
| 1992 | val="arg" |
| 1993 | res="res" |
| 1994 | text+=" %s=Vector(0,w)\n"%val |
| 1995 | text+=" if dim==2:\n" |
| 1996 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") |
| 1997 | text+=unrollLoopsOfDiv(a_2,b_2,o,"ref",tap=" ") |
| 1998 | text+="\n else:\n" |
| 1999 | |
| 2000 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") |
| 2001 | text+=unrollLoopsOfDiv(a_3,b_3,o,"ref",tap=" ") |
| 2002 | text+="\n res=div(arg,where=w_ref)\n" |
| 2003 | if data=="Symbol": |
| 2004 | text+=" sub=res.substitute({arg:s})\n" |
| 2005 | text+=" self.failUnless(isinstance(res,%s),\"wrong type of result.\")\n"%data |
| 2006 | text+=" self.failUnlessEqual(res.getShape(),(),\"wrong shape of result.\")\n" |
| 2007 | text+=" self.failUnlessEqual(%s.getFunctionSpace(),w_ref,\"wrong function space of result.\")\n"%res |
| 2008 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 2009 | |
| 2010 | |
| 2011 | t_prog+=text |
| 2012 | print t_prog |
| 2013 | 1/0 |
| 2014 | |
| 2015 | #======================================================================================================= |
| 2016 | # interpolation |
| 2017 | #======================================================================================================= |
| 2018 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne","Solution","ReducedSolution"]: |
| 2019 | for data in ["Data","Symbol"]: |
| 2020 | for case in ["ContinuousFunction","Solution","ReducedSolution","Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 2021 | for sh in [ (),(2,), (4,5), (6,2,2),(4,5,3,2)]: |
| 2022 | if where==case or \ |
| 2023 | ( case in ["ContinuousFunction","Solution","ReducedSolution"] and where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"] ) or \ |
| 2024 | ( case in ["FunctionOnContactZero","FunctionOnContactOne"] and where in ["FunctionOnContactZero","FunctionOnContactOne"] ) or \ |
| 2025 | (case=="ContinuousFunction" and where in ["Solution","ReducedSolution"]) or \ |
| 2026 | (case=="Solution" and where=="ReducedSolution") : |
| 2027 | |
| 2028 | |
| 2029 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 2030 | tname="test_interpolation_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) |
| 2031 | text+=" def %s(self):\n"%tname |
| 2032 | text+=" \"\"\"\n" |
| 2033 | text+=" tests interpolation for rank %s %s onto the %s\n\n"%(len(sh),data,where) |
| 2034 | text+=" assumptions: self.domain supports inpterpolation from %s onto %s\n"%(case,where) |
| 2035 | text+=" \"\"\"\n" |
| 2036 | if case=="ReducedSolution" or where=="ReducedSolution": |
| 2037 | text+=" o=1\n" |
| 2038 | o="1" |
| 2039 | else: |
| 2040 | text+=" o=self.order\n" |
| 2041 | o="o" |
| 2042 | text+=" dim=self.domain.getDim()\n" |
| 2043 | text+=" w_ref=%s(self.domain)\n"%where |
| 2044 | text+=" x_ref=w_ref.getX()\n" |
| 2045 | text+=" w=%s(self.domain)\n"%case |
| 2046 | text+=" x=w.getX()\n" |
| 2047 | a_2=makeArray(sh+(2,),[-1.,1]) |
| 2048 | b_2=makeArray(sh+(2,),[-1.,1]) |
| 2049 | a_3=makeArray(sh+(3,),[-1.,1]) |
| 2050 | b_3=makeArray(sh+(3,),[-1.,1]) |
| 2051 | if data=="Symbol": |
| 2052 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh) |
| 2053 | val="s" |
| 2054 | res="sub" |
| 2055 | else: |
| 2056 | val="arg" |
| 2057 | res="res" |
| 2058 | text+=" %s=Data(0,%s,w)\n"%(val,str(sh)) |
| 2059 | text+=" ref=Data(0,%s,w_ref)\n"%str(sh) |
| 2060 | text+=" if dim==2:\n" |
| 2061 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") |
| 2062 | text+=unrollLoops(a_2,b_2,o,"ref",tap=" ",x="x_ref") |
| 2063 | text+=" else:\n" |
| 2064 | |
| 2065 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") |
| 2066 | text+=unrollLoops(a_3,b_3,o,"ref",tap=" ",x="x_ref") |
| 2067 | text+=" res=interpolate(arg,where=w_ref)\n" |
| 2068 | if data=="Symbol": |
| 2069 | text+=" sub=res.substitute({arg:s})\n" |
| 2070 | text+=" self.failUnless(isinstance(res,%s),\"wrong type of result.\")\n"%data |
| 2071 | text+=" self.failUnlessEqual(%s.getFunctionSpace(),w_ref,\"wrong functionspace of result.\")\n"%res |
| 2072 | text+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh) |
| 2073 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 2074 | t_prog+=text |
| 2075 | print test_header |
| 2076 | print t_prog |
| 2077 | print test_tail |
| 2078 | 1/0 |
| 2079 | |
| 2080 | #======================================================================================================= |
| 2081 | # grad |
| 2082 | #======================================================================================================= |
| 2083 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 2084 | for data in ["Data","Symbol"]: |
| 2085 | for case in ["ContinuousFunction","Solution","ReducedSolution"]: |
| 2086 | for sh in [ (),(2,), (4,5), (6,2,2)]: |
| 2087 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 2088 | tname="test_grad_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) |
| 2089 | text+=" def %s(self):\n"%tname |
| 2090 | text+=" \"\"\"\n" |
| 2091 | text+=" tests gradient for rank %s %s on the %s\n\n"%(len(sh),data,where) |
| 2092 | text+=" assumptions: %s(self.domain) exists\n"%case |
| 2093 | text+=" self.domain supports gardient on %s\n"%where |
| 2094 | text+=" \"\"\"\n" |
| 2095 | if case=="ReducedSolution": |
| 2096 | text+=" o=1\n" |
| 2097 | o="1" |
| 2098 | else: |
| 2099 | text+=" o=self.order\n" |
| 2100 | o="o" |
| 2101 | text+=" dim=self.domain.getDim()\n" |
| 2102 | text+=" w_ref=%s(self.domain)\n"%where |
| 2103 | text+=" x_ref=w_ref.getX()\n" |
| 2104 | text+=" w=%s(self.domain)\n"%case |
| 2105 | text+=" x=w.getX()\n" |
| 2106 | a_2=makeArray(sh+(2,),[-1.,1]) |
| 2107 | b_2=makeArray(sh+(2,),[-1.,1]) |
| 2108 | a_3=makeArray(sh+(3,),[-1.,1]) |
| 2109 | b_3=makeArray(sh+(3,),[-1.,1]) |
| 2110 | if data=="Symbol": |
| 2111 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh) |
| 2112 | val="s" |
| 2113 | res="sub" |
| 2114 | else: |
| 2115 | val="arg" |
| 2116 | res="res" |
| 2117 | text+=" %s=Data(0,%s,w)\n"%(val,str(sh)) |
| 2118 | text+=" ref=Data(0,%s+(dim,),w_ref)\n"%str(sh) |
| 2119 | text+=" if dim==2:\n" |
| 2120 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") |
| 2121 | text+=unrollLoopsOfGrad(a_2,b_2,o,"ref",tap=" ") |
| 2122 | text+=" else:\n" |
| 2123 | |
| 2124 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") |
| 2125 | text+=unrollLoopsOfGrad(a_3,b_3,o,"ref",tap=" ") |
| 2126 | text+=" res=grad(arg,where=w_ref)\n" |
| 2127 | if data=="Symbol": |
| 2128 | text+=" sub=res.substitute({arg:s})\n" |
| 2129 | text+=" self.failUnless(isinstance(res,%s),\"wrong type of result.\")\n"%data |
| 2130 | text+=" self.failUnlessEqual(res.getShape(),%s+(dim,),\"wrong shape of result.\")\n"%str(sh) |
| 2131 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 2132 | |
| 2133 | |
| 2134 | t_prog+=text |
| 2135 | print test_header |
| 2136 | print t_prog |
| 2137 | print test_tail |
| 2138 | 1/0 |
| 2139 | |
| 2140 | |
| 2141 | #======================================================================================================= |
| 2142 | # integrate |
| 2143 | #======================================================================================================= |
| 2144 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 2145 | for data in ["Data","Symbol"]: |
| 2146 | for case in ["ContinuousFunction","Solution","ReducedSolution","Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 2147 | for sh in [ (),(2,), (4,5), (6,2,2),(4,5,3,2)]: |
| 2148 | if (not case in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]) or where==case: |
| 2149 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 2150 | tname="test_integrate_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) |
| 2151 | text+=" def %s(self):\n"%tname |
| 2152 | text+=" \"\"\"\n" |
| 2153 | text+=" tests integral of rank %s %s on the %s\n\n"%(len(sh),data,where) |
| 2154 | text+=" assumptions: %s(self.domain) exists\n"%case |
| 2155 | text+=" self.domain supports integral on %s\n"%where |
| 2156 | |
| 2157 | text+=" \"\"\"\n" |
| 2158 | if case=="ReducedSolution": |
| 2159 | text+=" o=1\n" |
| 2160 | o="1" |
| 2161 | else: |
| 2162 | text+=" o=self.order\n" |
| 2163 | o="o" |
| 2164 | text+= |