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eigenvalues_and_eigenvector fucntion added. test for 2D problem is added and is passed.
| 1 | jgs | 154 | #!/usr/bin/python |
| 2 | gross | 283 | # $Id$ |
| 3 | jgs | 154 | |
| 4 | """ | ||
| 5 | program generates parts of the util.py and the test_util.py script | ||
| 6 | """ | ||
| 7 | gross | 157 | 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 | jgs | 154 | t_prog="" |
| 26 | gross | 157 | t_prog_with_tags="" |
| 27 | t_prog_failing="" | ||
| 28 | u_prog="" | ||
| 29 | jgs | 154 | |
| 30 | gross | 157 | def wherepos(arg): |
| 31 | if arg>0.: | ||
| 32 | return 1. | ||
| 33 | else: | ||
| 34 | return 0. | ||
| 35 | |||
| 36 | gross | 313 | |
| 37 | gross | 157 | 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 | jgs | 154 | import random |
| 53 | import numarray | ||
| 54 | import math | ||
| 55 | finc=1.e-6 | ||
| 56 | |||
| 57 | gross | 157 | 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 | jgs | 154 | |
| 152 | gross | 157 | |
| 153 | jgs | 154 | def makeArray(shape,rng): |
| 154 | l=rng[1]-rng[0] | ||
| 155 | out=numarray.zeros(shape,numarray.Float64) | ||
| 156 | if len(shape)==0: | ||
| 157 | gross | 157 | out=l*random.random()+rng[0] |
| 158 | jgs | 154 | 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 | gross | 437 | 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 | gross | 550 | out[i0,i1,i2,i3,i4]=l*ranm.random()+rng[0] |
| 183 | jgs | 154 | else: |
| 184 | gross | 437 | raise SystemError,"rank is restricted to 5" |
| 185 | jgs | 154 | return out |
| 186 | |||
| 187 | gross | 517 | def makeNumberedArray(shape,s=1.): |
| 188 | out=numarray.zeros(shape,numarray.Float64) | ||
| 189 | if len(shape)==0: | ||
| 190 | out=s*1. | ||
| 191 | elif len(shape)==1: | ||
| 192 | for i0 in range(shape[0]): | ||
| 193 | gross | 550 | out[i0]=s*int(8*random.random()+1) |
| 194 | gross | 517 | elif len(shape)==2: |
| 195 | for i0 in range(shape[0]): | ||
| 196 | for i1 in range(shape[1]): | ||
| 197 | gross | 550 | out[i0,i1]=s*int(8*random.random()+1) |
| 198 | gross | 517 | elif len(shape)==3: |
| 199 | for i0 in range(shape[0]): | ||
| 200 | for i1 in range(shape[1]): | ||
| 201 | for i2 in range(shape[2]): | ||
| 202 | gross | 550 | out[i0,i1,i2]=s*int(8*random.random()+1) |
| 203 | gross | 517 | elif len(shape)==4: |
| 204 | for i0 in range(shape[0]): | ||
| 205 | for i1 in range(shape[1]): | ||
| 206 | for i2 in range(shape[2]): | ||
| 207 | for i3 in range(shape[3]): | ||
| 208 | gross | 550 | out[i0,i1,i2,i3]=s*int(8*random.random()+1) |
| 209 | gross | 517 | else: |
| 210 | raise SystemError,"rank is restricted to 4" | ||
| 211 | return out | ||
| 212 | jgs | 154 | |
| 213 | gross | 157 | def makeResult(val,test_expr): |
| 214 | jgs | 154 | if isinstance(val,float): |
| 215 | gross | 157 | out=eval(test_expr.replace("%a1%","val")) |
| 216 | jgs | 154 | elif len(val.shape)==0: |
| 217 | gross | 157 | out=eval(test_expr.replace("%a1%","val")) |
| 218 | jgs | 154 | elif len(val.shape)==1: |
| 219 | out=numarray.zeros(val.shape,numarray.Float64) | ||
| 220 | for i0 in range(val.shape[0]): | ||
| 221 | gross | 157 | out[i0]=eval(test_expr.replace("%a1%","val[i0]")) |
| 222 | jgs | 154 | elif len(val.shape)==2: |
| 223 | out=numarray.zeros(val.shape,numarray.Float64) | ||
| 224 | for i0 in range(val.shape[0]): | ||
| 225 | for i1 in range(val.shape[1]): | ||
| 226 | gross | 157 | out[i0,i1]=eval(test_expr.replace("%a1%","val[i0,i1]")) |
| 227 | jgs | 154 | elif len(val.shape)==3: |
| 228 | out=numarray.zeros(val.shape,numarray.Float64) | ||
| 229 | for i0 in range(val.shape[0]): | ||
| 230 | for i1 in range(val.shape[1]): | ||
| 231 | for i2 in range(val.shape[2]): | ||
| 232 | gross | 157 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val[i0,i1,i2]")) |
| 233 | jgs | 154 | elif len(val.shape)==4: |
| 234 | out=numarray.zeros(val.shape,numarray.Float64) | ||
| 235 | for i0 in range(val.shape[0]): | ||
| 236 | for i1 in range(val.shape[1]): | ||
| 237 | for i2 in range(val.shape[2]): | ||
| 238 | for i3 in range(val.shape[3]): | ||
| 239 | gross | 157 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val[i0,i1,i2,i3]")) |
| 240 | jgs | 154 | else: |
| 241 | raise SystemError,"rank is restricted to 4" | ||
| 242 | return out | ||
| 243 | |||
| 244 | gross | 157 | def makeResult2(val0,val1,test_expr): |
| 245 | if isinstance(val0,float): | ||
| 246 | if isinstance(val1,float): | ||
| 247 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) | ||
| 248 | elif len(val1.shape)==0: | ||
| 249 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) | ||
| 250 | elif len(val1.shape)==1: | ||
| 251 | out=numarray.zeros(val1.shape,numarray.Float64) | ||
| 252 | for i0 in range(val1.shape[0]): | ||
| 253 | out[i0]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0]")) | ||
| 254 | elif len(val1.shape)==2: | ||
| 255 | out=numarray.zeros(val1.shape,numarray.Float64) | ||
| 256 | for i0 in range(val1.shape[0]): | ||
| 257 | for i1 in range(val1.shape[1]): | ||
| 258 | out[i0,i1]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1]")) | ||
| 259 | elif len(val1.shape)==3: | ||
| 260 | out=numarray.zeros(val1.shape,numarray.Float64) | ||
| 261 | for i0 in range(val1.shape[0]): | ||
| 262 | for i1 in range(val1.shape[1]): | ||
| 263 | for i2 in range(val1.shape[2]): | ||
| 264 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2]")) | ||
| 265 | elif len(val1.shape)==4: | ||
| 266 | out=numarray.zeros(val1.shape,numarray.Float64) | ||
| 267 | for i0 in range(val1.shape[0]): | ||
| 268 | for i1 in range(val1.shape[1]): | ||
| 269 | for i2 in range(val1.shape[2]): | ||
| 270 | for i3 in range(val1.shape[3]): | ||
| 271 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2,i3]")) | ||
| 272 | else: | ||
| 273 | raise SystemError,"rank of val1 is restricted to 4" | ||
| 274 | elif len(val0.shape)==0: | ||
| 275 | if isinstance(val1,float): | ||
| 276 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) | ||
| 277 | elif len(val1.shape)==0: | ||
| 278 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) | ||
| 279 | elif len(val1.shape)==1: | ||
| 280 | out=numarray.zeros(val1.shape,numarray.Float64) | ||
| 281 | for i0 in range(val1.shape[0]): | ||
| 282 | out[i0]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0]")) | ||
| 283 | elif len(val1.shape)==2: | ||
| 284 | out=numarray.zeros(val1.shape,numarray.Float64) | ||
| 285 | for i0 in range(val1.shape[0]): | ||
| 286 | for i1 in range(val1.shape[1]): | ||
| 287 | out[i0,i1]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1]")) | ||
| 288 | elif len(val1.shape)==3: | ||
| 289 | out=numarray.zeros(val1.shape,numarray.Float64) | ||
| 290 | for i0 in range(val1.shape[0]): | ||
| 291 | for i1 in range(val1.shape[1]): | ||
| 292 | for i2 in range(val1.shape[2]): | ||
| 293 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2]")) | ||
| 294 | elif len(val1.shape)==4: | ||
| 295 | out=numarray.zeros(val1.shape,numarray.Float64) | ||
| 296 | for i0 in range(val1.shape[0]): | ||
| 297 | for i1 in range(val1.shape[1]): | ||
| 298 | for i2 in range(val1.shape[2]): | ||
| 299 | for i3 in range(val1.shape[3]): | ||
| 300 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2,i3]")) | ||
| 301 | else: | ||
| 302 | raise SystemError,"rank of val1 is restricted to 4" | ||
| 303 | elif len(val0.shape)==1: | ||
| 304 | if isinstance(val1,float): | ||
| 305 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 306 | for i0 in range(val0.shape[0]): | ||
| 307 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1")) | ||
| 308 | elif len(val1.shape)==0: | ||
| 309 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 310 | for i0 in range(val0.shape[0]): | ||
| 311 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1")) | ||
| 312 | elif len(val1.shape)==1: | ||
| 313 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 314 | for i0 in range(val0.shape[0]): | ||
| 315 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0]")) | ||
| 316 | elif len(val1.shape)==2: | ||
| 317 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) | ||
| 318 | for i0 in range(val0.shape[0]): | ||
| 319 | for j1 in range(val1.shape[1]): | ||
| 320 | out[i0,j1]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1]")) | ||
| 321 | elif len(val1.shape)==3: | ||
| 322 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) | ||
| 323 | for i0 in range(val0.shape[0]): | ||
| 324 | for j1 in range(val1.shape[1]): | ||
| 325 | for j2 in range(val1.shape[2]): | ||
| 326 | out[i0,j1,j2]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1,j2]")) | ||
| 327 | elif len(val1.shape)==4: | ||
| 328 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) | ||
| 329 | for i0 in range(val0.shape[0]): | ||
| 330 | for j1 in range(val1.shape[1]): | ||
| 331 | for j2 in range(val1.shape[2]): | ||
| 332 | for j3 in range(val1.shape[3]): | ||
| 333 | out[i0,j1,j2,j3]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1,j2,j3]")) | ||
| 334 | else: | ||
| 335 | raise SystemError,"rank of val1 is restricted to 4" | ||
| 336 | elif len(val0.shape)==2: | ||
| 337 | if isinstance(val1,float): | ||
| 338 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 339 | for i0 in range(val0.shape[0]): | ||
| 340 | for i1 in range(val0.shape[1]): | ||
| 341 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1")) | ||
| 342 | elif len(val1.shape)==0: | ||
| 343 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 344 | for i0 in range(val0.shape[0]): | ||
| 345 | for i1 in range(val0.shape[1]): | ||
| 346 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1")) | ||
| 347 | elif len(val1.shape)==1: | ||
| 348 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 349 | for i0 in range(val0.shape[0]): | ||
| 350 | for i1 in range(val0.shape[1]): | ||
| 351 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0]")) | ||
| 352 | elif len(val1.shape)==2: | ||
| 353 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) | ||
| 354 | for i0 in range(val0.shape[0]): | ||
| 355 | for i1 in range(val0.shape[1]): | ||
| 356 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1]")) | ||
| 357 | elif len(val1.shape)==3: | ||
| 358 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) | ||
| 359 | for i0 in range(val0.shape[0]): | ||
| 360 | for i1 in range(val0.shape[1]): | ||
| 361 | for j2 in range(val1.shape[2]): | ||
| 362 | out[i0,i1,j2]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1,j2]")) | ||
| 363 | elif len(val1.shape)==4: | ||
| 364 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) | ||
| 365 | for i0 in range(val0.shape[0]): | ||
| 366 | for i1 in range(val0.shape[1]): | ||
| 367 | for j2 in range(val1.shape[2]): | ||
| 368 | for j3 in range(val1.shape[3]): | ||
| 369 | out[i0,i1,j2,j3]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1,j2,j3]")) | ||
| 370 | else: | ||
| 371 | raise SystemError,"rank of val1 is restricted to 4" | ||
| 372 | elif len(val0.shape)==3: | ||
| 373 | if isinstance(val1,float): | ||
| 374 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 375 | for i0 in range(val0.shape[0]): | ||
| 376 | for i1 in range(val0.shape[1]): | ||
| 377 | for i2 in range(val0.shape[2]): | ||
| 378 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1")) | ||
| 379 | elif len(val1.shape)==0: | ||
| 380 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 381 | for i0 in range(val0.shape[0]): | ||
| 382 | for i1 in range(val0.shape[1]): | ||
| 383 | for i2 in range(val0.shape[2]): | ||
| 384 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1")) | ||
| 385 | elif len(val1.shape)==1: | ||
| 386 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 387 | for i0 in range(val0.shape[0]): | ||
| 388 | for i1 in range(val0.shape[1]): | ||
| 389 | for i2 in range(val0.shape[2]): | ||
| 390 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0]")) | ||
| 391 | elif len(val1.shape)==2: | ||
| 392 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) | ||
| 393 | for i0 in range(val0.shape[0]): | ||
| 394 | for i1 in range(val0.shape[1]): | ||
| 395 | for i2 in range(val0.shape[2]): | ||
| 396 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1]")) | ||
| 397 | elif len(val1.shape)==3: | ||
| 398 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 399 | for i0 in range(val0.shape[0]): | ||
| 400 | for i1 in range(val0.shape[1]): | ||
| 401 | for i2 in range(val0.shape[2]): | ||
| 402 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1,i2]")) | ||
| 403 | elif len(val1.shape)==4: | ||
| 404 | out=numarray.zeros(val0.shape+val1.shape[3:],numarray.Float64) | ||
| 405 | for i0 in range(val0.shape[0]): | ||
| 406 | for i1 in range(val0.shape[1]): | ||
| 407 | for i2 in range(val0.shape[2]): | ||
| 408 | for j3 in range(val1.shape[3]): | ||
| 409 | out[i0,i1,i2,j3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1,i2,j3]")) | ||
| 410 | else: | ||
| 411 | raise SystemError,"rank of val1 is rargs[1]estricted to 4" | ||
| 412 | elif len(val0.shape)==4: | ||
| 413 | if isinstance(val1,float): | ||
| 414 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 415 | for i0 in range(val0.shape[0]): | ||
| 416 | for i1 in range(val0.shape[1]): | ||
| 417 | for i2 in range(val0.shape[2]): | ||
| 418 | for i3 in range(val0.shape[3]): | ||
| 419 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1")) | ||
| 420 | elif len(val1.shape)==0: | ||
| 421 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 422 | for i0 in range(val0.shape[0]): | ||
| 423 | for i1 in range(val0.shape[1]): | ||
| 424 | for i2 in range(val0.shape[2]): | ||
| 425 | for i3 in range(val0.shape[3]): | ||
| 426 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1")) | ||
| 427 | elif len(val1.shape)==1: | ||
| 428 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 429 | for i0 in range(val0.shape[0]): | ||
| 430 | for i1 in range(val0.shape[1]): | ||
| 431 | for i2 in range(val0.shape[2]): | ||
| 432 | for i3 in range(val0.shape[3]): | ||
| 433 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0]")) | ||
| 434 | elif len(val1.shape)==2: | ||
| 435 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) | ||
| 436 | for i0 in range(val0.shape[0]): | ||
| 437 | for i1 in range(val0.shape[1]): | ||
| 438 | for i2 in range(val0.shape[2]): | ||
| 439 | for i3 in range(val0.shape[3]): | ||
| 440 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1]")) | ||
| 441 | elif len(val1.shape)==3: | ||
| 442 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 443 | for i0 in range(val0.shape[0]): | ||
| 444 | for i1 in range(val0.shape[1]): | ||
| 445 | for i2 in range(val0.shape[2]): | ||
| 446 | for i3 in range(val0.shape[3]): | ||
| 447 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1,i2]")) | ||
| 448 | elif len(val1.shape)==4: | ||
| 449 | out=numarray.zeros(val0.shape,numarray.Float64) | ||
| 450 | for i0 in range(val0.shape[0]): | ||
| 451 | for i1 in range(val0.shape[1]): | ||
| 452 | for i2 in range(val0.shape[2]): | ||
| 453 | for i3 in range(val0.shape[3]): | ||
| 454 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1,i2,i3]")) | ||
| 455 | else: | ||
| 456 | raise SystemError,"rank of val1 is restricted to 4" | ||
| 457 | else: | ||
| 458 | raise SystemError,"rank is restricted to 4" | ||
| 459 | return out | ||
| 460 | jgs | 154 | |
| 461 | gross | 157 | |
| 462 | def mkText(case,name,a,a1=None,use_tagging_for_expanded_data=False): | ||
| 463 | jgs | 154 | t_out="" |
| 464 | gross | 157 | if case=="float": |
| 465 | jgs | 154 | if isinstance(a,float): |
| 466 | t_out+=" %s=%s\n"%(name,a) | ||
| 467 | gross | 291 | elif a.rank==0: |
| 468 | jgs | 154 | t_out+=" %s=%s\n"%(name,a) |
| 469 | else: | ||
| 470 | t_out+=" %s=numarray.array(%s)\n"%(name,a.tolist()) | ||
| 471 | gross | 157 | elif case=="array": |
| 472 | if isinstance(a,float): | ||
| 473 | t_out+=" %s=numarray.array(%s)\n"%(name,a) | ||
| 474 | gross | 291 | elif a.rank==0: |
| 475 | gross | 157 | t_out+=" %s=numarray.array(%s)\n"%(name,a) |
| 476 | else: | ||
| 477 | t_out+=" %s=numarray.array(%s)\n"%(name,a.tolist()) | ||
| 478 | jgs | 154 | elif case=="constData": |
| 479 | if isinstance(a,float): | ||
| 480 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) | ||
| 481 | gross | 291 | elif a.rank==0: |
| 482 | jgs | 154 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 483 | else: | ||
| 484 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) | ||
| 485 | elif case=="taggedData": | ||
| 486 | if isinstance(a,float): | ||
| 487 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) | ||
| 488 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) | ||
| 489 | gross | 291 | elif a.rank==0: |
| 490 | jgs | 154 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 491 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) | ||
| 492 | else: | ||
| 493 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) | ||
| 494 | gross | 157 | t_out+=" %s.setTaggedValue(1,numarray.array(%s))\n"%(name,a1.tolist()) |
| 495 | jgs | 154 | elif case=="expandedData": |
| 496 | gross | 157 | if use_tagging_for_expanded_data: |
| 497 | if isinstance(a,float): | ||
| 498 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) | ||
| 499 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) | ||
| 500 | gross | 291 | elif a.rank==0: |
| 501 | gross | 157 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
| 502 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) | ||
| 503 | else: | ||
| 504 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) | ||
| 505 | t_out+=" %s.setTaggedValue(1,numarray.array(%s))\n"%(name,a1.tolist()) | ||
| 506 | t_out+=" %s.expand()\n"%name | ||
| 507 | else: | ||
| 508 | gross | 550 | t_out+=" msk_%s=whereZero(self.functionspace.getX()[0],1.e-8)\n"%name |
| 509 | gross | 157 | if isinstance(a,float): |
| 510 | gross | 550 | t_out+=" %s=(1.-msk_%s)*(%s)+msk_%s*(%s)\n"%(name,name,a,name,a1) |
| 511 | gross | 291 | elif a.rank==0: |
| 512 | gross | 157 | t_out+=" %s=msk_%s*numarray.array(%s)+(1.-msk_%s)*numarray.array(%s)\n"%(name,name,a,name,a1) |
| 513 | else: | ||
| 514 | t_out+=" %s=msk_%s*numarray.array(%s)+(1.-msk_%s)*numarray.array(%s)\n"%(name,name,a.tolist(),name,a1.tolist()) | ||
| 515 | jgs | 154 | elif case=="Symbol": |
| 516 | if isinstance(a,float): | ||
| 517 | t_out+=" %s=Symbol(shape=())\n"%(name) | ||
| 518 | gross | 291 | elif a.rank==0: |
| 519 | jgs | 154 | t_out+=" %s=Symbol(shape=())\n"%(name) |
| 520 | else: | ||
| 521 | t_out+=" %s=Symbol(shape=%s)\n"%(name,str(a.shape)) | ||
| 522 | |||
| 523 | return t_out | ||
| 524 | |||
| 525 | gross | 587 | def mkTypeAndShapeTest(case,sh,argstr,name=""): |
| 526 | gross | 157 | text="" |
| 527 | if case=="float": | ||
| 528 | gross | 587 | text+=" self.failUnless(isinstance(%s,float),\"wrong type of result%s.\")\n"%(argstr,name) |
| 529 | gross | 157 | elif case=="array": |
| 530 | gross | 587 | text+=" self.failUnless(isinstance(%s,numarray.NumArray),\"wrong type of result%s.\")\n"%(argstr,name) |
| 531 | text+=" self.failUnlessEqual(%s.shape,%s,\"wrong shape of result%s.\")\n"%(argstr,str(sh),name) | ||
| 532 | gross | 157 | elif case in ["constData","taggedData","expandedData"]: |
| 533 | gross | 587 | text+=" self.failUnless(isinstance(%s,Data),\"wrong type of result%s.\")\n"%(argstr,name) |
| 534 | text+=" self.failUnlessEqual(%s.getShape(),%s,\"wrong shape of result%s.\")\n"%(argstr,str(sh),name) | ||
| 535 | gross | 157 | elif case=="Symbol": |
| 536 | gross | 587 | text+=" self.failUnless(isinstance(%s,Symbol),\"wrong type of result%s.\")\n"%(argstr,name) |
| 537 | text+=" self.failUnlessEqual(%s.getShape(),%s,\"wrong shape of result%s.\")\n"%(argstr,str(sh),name) | ||
| 538 | gross | 157 | return text |
| 539 | jgs | 154 | |
| 540 | gross | 157 | def mkCode(txt,args=[],intend=""): |
| 541 | s=txt.split("\n") | ||
| 542 | if len(s)>1: | ||
| 543 | out="" | ||
| 544 | for l in s: | ||
| 545 | out+=intend+l+"\n" | ||
| 546 | else: | ||
| 547 | out="%sreturn %s\n"%(intend,txt) | ||
| 548 | c=1 | ||
| 549 | for r in args: | ||
| 550 | out=out.replace("%%a%s%%"%c,r) | ||
| 551 | return out | ||
| 552 | gross | 587 | |
| 553 | |||
| 554 | gross | 530 | #======================================================================================================= |
| 555 | gross | 587 | # eigenvalues and eigen vectors 2D: |
| 556 | #======================================================================================================= | ||
| 557 | alltests= \ | ||
| 558 | [ ("case0",[[0.0, 0.0], [0.0, 0.0]],[0.0, 0.0]) \ | ||
| 559 | , ("case3",[[-1.0, 0.0], [0.0, -1.0]],[-1.0, -1.0]) \ | ||
| 560 | , ("case5",[[-0.99999999999999967, -6.4606252205695602e-16], [-6.4606252205695602e-16, -0.99999999999999967]],[-1.0, -1.0]) \ | ||
| 561 | , ("case6",[[0.0, 0.0], [0.0, 0.0001]],[0.0, 0.0001]) \ | ||
| 562 | , ("case7",[[0.0001, 0.0], [0.0, 0.0]],[0.0, 0.0001]) \ | ||
| 563 | , ("case8",[[6.0598371831785722e-06, 2.3859213977648625e-05], [2.3859213977648629e-05, 9.3940162816821425e-05]],[0.0, 0.0001]) \ | ||
| 564 | , ("case9",[[1.0, 0.0], [0.0, 2.0]],[1.0, 2.0]) \ | ||
| 565 | , ("case10",[[2.0, 0.0], [0.0, 1.0]],[1.0, 2.0]) \ | ||
| 566 | , ("case11",[[1.0605983718317855, 0.23859213977648688], [0.23859213977648688, 1.9394016281682138]],[1.0, 2.0]) \ | ||
| 567 | , ("case12",[[1.0, 0.0], [0.0, 1000000.0]],[1.0, 1000000.0]) \ | ||
| 568 | , ("case13",[[1000000.0, 0.0], [0.0, 1.0]],[1.0, 1000000.0]) \ | ||
| 569 | , ("case14",[[60599.311233413886, 238591.90118434647], [238591.90118434647, 939401.68876658613]],[1.0, 1000000.0]) \ | ||
| 570 | ] | ||
| 571 | dim=2 | ||
| 572 | for case in ["constData","taggedData","expandedData"]: | ||
| 573 | n=0 | ||
| 574 | while n<len(alltests): | ||
| 575 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" | ||
| 576 | tname="test_eigenvalues_and_eigenvectors_%s_dim%s_%s"%(case,dim,alltests[n][0]) | ||
| 577 | text+=" def %s(self):\n"%tname | ||
| 578 | a_0=numarray.array(alltests[n][1],numarray.Float64) | ||
| 579 | ev_0=numarray.array(alltests[n][2],numarray.Float64) | ||
| 580 | if case in ["taggedData", "expandedData"]: | ||
| 581 | a1_0=numarray.array(alltests[n+1][1],numarray.Float64) | ||
| 582 | ev1_0=numarray.array(alltests[n+1][2],numarray.Float64) | ||
| 583 | n+=2 | ||
| 584 | else: | ||
| 585 | a1_0=a_0 | ||
| 586 | ev1_0=ev_0 | ||
| 587 | n+=1 | ||
| 588 | text+=mkText(case,"arg",a_0,a1_0) | ||
| 589 | text+=" res=eigenvalues_and_eigenvectors(arg)\n" | ||
| 590 | text+=mkText(case,"ref_ev",ev_0,ev1_0) | ||
| 591 | text+=mkTypeAndShapeTest(case,(dim,),"res[0]"," for eigenvalues") | ||
| 592 | text+=mkTypeAndShapeTest(case,(dim,dim),"res[1]"," for eigenvectors") | ||
| 593 | text+=" self.failUnless(Lsup(res[0]-ref_ev)<=self.RES_TOL*Lsup(ref_ev),\"wrong eigenvalues\")\n" | ||
| 594 | for i in range(dim): | ||
| 595 | 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) | ||
| 596 | text+=" self.failUnless(Lsup(matrixmult(transpose(res[1]),res[1])-kronecker(%s))<=self.RES_TOL,\"eigenvectors are not orthonormal\")\n"%dim | ||
| 597 | if case == "taggedData" : | ||
| 598 | t_prog_with_tags+=text | ||
| 599 | else: | ||
| 600 | t_prog+=text | ||
| 601 | print test_header | ||
| 602 | print t_prog | ||
| 603 | print t_prog_with_tags | ||
| 604 | print test_tail | ||
| 605 | 1/0 | ||
| 606 | #======================================================================================================= | ||
| 607 | gross | 550 | # get slices |
| 608 | gross | 536 | #======================================================================================================= |
| 609 | from esys.escript import * | ||
| 610 | gross | 550 | for case0 in ["constData","taggedData","expandedData"]: |
| 611 | for sh0 in [ (3,), (3,4), (3,4,3) ,(4,3,3,3)]: | ||
| 612 | # get perm: | ||
| 613 | if len(sh0)==2: | ||
| 614 | check=[[1,0]] | ||
| 615 | elif len(sh0)==3: | ||
| 616 | check=[[1,0,2], | ||
| 617 | [1,2,0], | ||
| 618 | [2,1,0], | ||
| 619 | [2,0,2], | ||
| 620 | [0,2,1]] | ||
| 621 | elif len(sh0)==4: | ||
| 622 | check=[[0,1,3,2], | ||
| 623 | [0,2,1,3], | ||
| 624 | [0,2,3,1], | ||
| 625 | [0,3,2,1], | ||
| 626 | [0,3,1,2] , | ||
| 627 | [1,0,2,3], | ||
| 628 | [1,0,3,2], | ||
| 629 | [1,2,0,3], | ||
| 630 | [1,2,3,0], | ||
| 631 | [1,3,2,0], | ||
| 632 | [1,3,0,2], | ||
| 633 | [2,0,1,3], | ||
| 634 | [2,0,3,1], | ||
| 635 | [2,1,0,3], | ||
| 636 | [2,1,3,0], | ||
| 637 | [2,3,1,0], | ||
| 638 | [2,3,0,1], | ||
| 639 | [3,0,1,2], | ||
| 640 | [3,0,2,1], | ||
| 641 | [3,1,0,2], | ||
| 642 | [3,1,2,0], | ||
| 643 | [3,2,1,0], | ||
| 644 | [3,2,0,1]] | ||
| 645 | else: | ||
| 646 | check=[] | ||
| 647 | |||
| 648 | # create the test cases: | ||
| 649 | processed=[] | ||
| 650 | l=["R","U","L","P","C","N"] | ||
| 651 | c=[""] | ||
| 652 | for i in range(len(sh0)): | ||
| 653 | tmp=[] | ||
| 654 | for ci in c: | ||
| 655 | tmp+=[ci+li for li in l] | ||
| 656 | c=tmp | ||
| 657 | # SHUFFLE | ||
| 658 | c2=[] | ||
| 659 | while len(c)>0: | ||
| 660 | i=int(random.random()*len(c)) | ||
| 661 | c2.append(c[i]) | ||
| 662 | del c[i] | ||
| 663 | c=c2 | ||
| 664 | for ci in c: | ||
| 665 | t="" | ||
| 666 | sh=() | ||
| 667 | sl=() | ||
| 668 | for i in range(len(ci)): | ||
| 669 | if ci[i]=="R": | ||
| 670 | s="%s:%s"%(1,sh0[i]-1) | ||
| 671 | sl=sl+(slice(1,sh0[i]-1),) | ||
| 672 | sh=sh+(sh0[i]-2,) | ||
| 673 | if ci[i]=="U": | ||
| 674 | s=":%s"%(sh0[i]-1) | ||
| 675 | sh=sh+(sh0[i]-1,) | ||
| 676 | sl=sl+(slice(0,sh0[i]-1),) | ||
| 677 | if ci[i]=="L": | ||
| 678 | s="2:" | ||
| 679 | sh=sh+(sh0[i]-2,) | ||
| 680 | sl=sl+(slice(2,sh0[i]),) | ||
| 681 | if ci[i]=="P": | ||
| 682 | s="%s"%(int(sh0[i]/2)) | ||
| 683 | sl=sl+(int(sh0[i]/2),) | ||
| 684 | if ci[i]=="C": | ||
| 685 | s=":" | ||
| 686 | sh=sh+(sh0[i],) | ||
| 687 | sl=sl+(slice(0,sh0[i]),) | ||
| 688 | if ci[i]=="N": | ||
| 689 | s="" | ||
| 690 | sh=sh+(sh0[i],) | ||
| 691 | if len(s)>0: | ||
| 692 | if not t=="": t+="," | ||
| 693 | t+=s | ||
| 694 | if len(sl)==1: sl=sl[0] | ||
| 695 | N_found=False | ||
| 696 | noN_found=False | ||
| 697 | process=len(t)>0 | ||
| 698 | for i in ci: | ||
| 699 | if i=="N": | ||
| 700 | if not noN_found and N_found: process=False | ||
| 701 | N_found=True | ||
| 702 | else: | ||
| 703 | if N_found: process=False | ||
| 704 | noNfound=True | ||
| 705 | # is there a similar one processed allready | ||
| 706 | if process and ci.find("N")==-1: | ||
| 707 | for ci2 in processed: | ||
| 708 | for chi in check: | ||
| 709 | is_perm=True | ||
| 710 | for i in range(len(chi)): | ||
| 711 | if not ci[i]==ci2[chi[i]]: is_perm=False | ||
| 712 | if is_perm: process=False | ||
| 713 | # if not process: print ci," rejected" | ||
| 714 | if process: | ||
| 715 | processed.append(ci) | ||
| 716 | for case1 in ["array","constData","taggedData","expandedData"]: | ||
| 717 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" | ||
| 718 | tname="test_setslice_%s_rank%s_%s_%s"%(case0,len(sh0),case1,ci) | ||
| 719 | text+=" def %s(self):\n"%tname | ||
| 720 | a_0=makeNumberedArray(sh0) | ||
| 721 | if case0 in ["taggedData", "expandedData"]: | ||
| 722 | a1_0=makeNumberedArray(sh0) | ||
| 723 | else: | ||
| 724 | a1_0=a_0*1. | ||
| 725 | |||
| 726 | a_1=makeNumberedArray(sh) | ||
| 727 | if case1 in ["taggedData", "expandedData"]: | ||
| 728 | a1_1=makeNumberedArray(sh) | ||
| 729 | else: | ||
| 730 | a1_1=a_1*1. | ||
| 731 | |||
| 732 | text+=mkText(case0,"arg",a_0,a1_0) | ||
| 733 | text+=mkText(case1,"val",a_1,a1_1) | ||
| 734 | text+=" arg[%s]=val\n"%t | ||
| 735 | a_0.__setitem__(sl,a_1) | ||
| 736 | a1_0.__setitem__(sl,a1_1) | ||
| 737 | if Lsup(a_0-a1_0)==0.: | ||
| 738 | text+=mkText("constData","ref",a_0,a1_0) | ||
| 739 | else: | ||
| 740 | text+=mkText("expandedData","ref",a_0,a1_0) | ||
| 741 | text+=" self.failUnless(Lsup(arg-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n" | ||
| 742 | |||
| 743 | if case0 == "taggedData" or case1 == "taggedData": | ||
| 744 | t_prog_with_tags+=text | ||
| 745 | else: | ||
| 746 | t_prog+=text | ||
| 747 | |||
| 748 | print test_header | ||
| 749 | # print t_prog | ||
| 750 | print t_prog_with_tags | ||
| 751 | print test_tail | ||
| 752 | 1/0 | ||
| 753 | |||
| 754 | #======================================================================================================= | ||
| 755 | # (non)symmetric part | ||
| 756 | #======================================================================================================= | ||
| 757 | from esys.escript import * | ||
| 758 | gross | 536 | for name in ["symmetric", "nonsymmetric"]: |
| 759 | f=1. | ||
| 760 | if name=="nonsymmetric": f=-1 | ||
| 761 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: | ||
| 762 | for sh0 in [ (3,3), (2,3,2,3)]: | ||
| 763 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" | ||
| 764 | tname="test_%s_%s_rank%s"%(name,case0,len(sh0)) | ||
| 765 | text+=" def %s(self):\n"%tname | ||
| 766 | a_0=makeNumberedArray(sh0,s=1.) | ||
| 767 | r_0=(a_0+f*transpose(a_0))/2. | ||
| 768 | if case0 in ["taggedData", "expandedData"]: | ||
| 769 | a1_0=makeNumberedArray(sh0,s=-1.) | ||
| 770 | r1_0=(a1_0+f*transpose(a1_0))/2. | ||
| 771 | else: | ||
| 772 | a1_0=a_0 | ||
| 773 | r1_0=r_0 | ||
| 774 | text+=mkText(case0,"arg",a_0,a1_0) | ||
| 775 | text+=" res=%s(arg)\n"%name | ||
| 776 | if case0=="Symbol": | ||
| 777 | text+=mkText("array","s",a_0,a1_0) | ||
| 778 | text+=" sub=res.substitute({arg:s})\n" | ||
| 779 | res="sub" | ||
| 780 | text+=mkText("array","ref",r_0,r1_0) | ||
| 781 | else: | ||
| 782 | res="res" | ||
| 783 | text+=mkText(case0,"ref",r_0,r1_0) | ||
| 784 | text+=mkTypeAndShapeTest(case0,sh0,"res") | ||
| 785 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res | ||
| 786 | |||
| 787 | if case0 == "taggedData" : | ||
| 788 | t_prog_with_tags+=text | ||
| 789 | else: | ||
| 790 | t_prog+=text | ||
| 791 | print test_header | ||
| 792 | print t_prog | ||
| 793 | # print t_prog_with_tags | ||
| 794 | print test_tail | ||
| 795 | 1/0 | ||
| 796 | |||
| 797 | #======================================================================================================= | ||
| 798 | gross | 530 | # eigenvalues |
| 799 | #======================================================================================================= | ||
| 800 | import numarray.linear_algebra | ||
| 801 | name="eigenvalues" | ||
| 802 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: | ||
| 803 | for sh0 in [ (1,1), (2,2), (3,3)]: | ||
| 804 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" | ||
| 805 | tname="test_%s_%s_dim%s"%(name,case0,sh0[0]) | ||
| 806 | text+=" def %s(self):\n"%tname | ||
| 807 | a_0=makeArray(sh0,[-1.,1]) | ||
| 808 | a_0=(a_0+numarray.transpose(a_0))/2. | ||
| 809 | ev=numarray.linear_algebra.eigenvalues(a_0) | ||
| 810 | ev.sort() | ||
| 811 | if case0 in ["taggedData", "expandedData"]: | ||
| 812 | a1_0=makeArray(sh0,[-1.,1]) | ||
| 813 | a1_0=(a1_0+numarray.transpose(a1_0))/2. | ||
| 814 | ev1=numarray.linear_algebra.eigenvalues(a1_0) | ||
| 815 | ev1.sort() | ||
| 816 | else: | ||
| 817 | a1_0=a_0 | ||
| 818 | ev1=ev | ||
| 819 | text+=mkText(case0,"arg",a_0,a1_0) | ||
| 820 | text+=" res=%s(arg)\n"%name | ||
| 821 | if case0=="Symbol": | ||
| 822 | text+=mkText("array","s",a_0,a1_0) | ||
| 823 | text+=" sub=res.substitute({arg:s})\n" | ||
| 824 | res="sub" | ||
| 825 | text+=mkText("array","ref",ev,ev1) | ||
| 826 | else: | ||
| 827 | res="res" | ||
| 828 | text+=mkText(case0,"ref",ev,ev1) | ||
| 829 | text+=mkTypeAndShapeTest(case0,(sh0[0],),"res") | ||
| 830 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res | ||
| 831 | |||
| 832 | if case0 == "taggedData" : | ||
| 833 | t_prog_with_tags+=text | ||
| 834 | else: | ||
| 835 | t_prog+=text | ||
| 836 | print test_header | ||
| 837 | # print t_prog | ||
| 838 | print t_prog_with_tags | ||
| 839 | print test_tail | ||
| 840 | 1/0 | ||
| 841 | jgs | 154 | |
| 842 | gross | 517 | #======================================================================================================= |
| 843 | gross | 550 | # get slices |
| 844 | gross | 517 | #======================================================================================================= |
| 845 | for case0 in ["constData","taggedData","expandedData","Symbol"]: | ||
| 846 | for sh0 in [ (3,), (3,4), (3,4,3) ,(4,3,5,3)]: | ||
| 847 | # get perm: | ||
| 848 | if len(sh0)==2: | ||
| 849 | check=[[1,0]] | ||
| 850 | elif len(sh0)==3: | ||
| 851 | check=[[1,0,2], | ||
| 852 | [1,2,0], | ||
| 853 | [2,1,0], | ||
| 854 | [2,0,2], | ||
| 855 | [0,2,1]] | ||
| 856 | elif len(sh0)==4: | ||
| 857 | check=[[0,1,3,2], | ||
| 858 | [0,2,1,3], | ||
| 859 | [0,2,3,1], | ||
| 860 | [0,3,2,1], | ||
| 861 | [0,3,1,2] , | ||
| 862 | [1,0,2,3], | ||
| 863 | [1,0,3,2], | ||
| 864 | [1,2,0,3], | ||
| 865 | [1,2,3,0], | ||
| 866 | [1,3,2,0], | ||
| 867 | [1,3,0,2], | ||
| 868 | [2,0,1,3], | ||
| 869 | [2,0,3,1], | ||
| 870 | [2,1,0,3], | ||
| 871 | [2,1,3,0], | ||
| 872 | [2,3,1,0], | ||
| 873 | [2,3,0,1], | ||
| 874 | [3,0,1,2], | ||
| 875 | [3,0,2,1], | ||
| 876 | [3,1,0,2], | ||
| 877 | [3,1,2,0], | ||
| 878 | [3,2,1,0], | ||
| 879 | [3,2,0,1]] | ||
| 880 | else: | ||
| 881 | check=[] | ||
| 882 | |||
| 883 | # create the test cases: | ||
| 884 | processed=[] | ||
| 885 | l=["R","U","L","P","C","N"] | ||
| 886 | c=[""] | ||
| 887 | for i in range(len(sh0)): | ||
| 888 | tmp=[] | ||
| 889 | for ci in c: | ||
| 890 | tmp+=[ci+li for li in l] | ||
| 891 | c=tmp | ||
| 892 | # SHUFFLE | ||
| 893 | c2=[] | ||
| 894 | while len(c)>0: | ||
| 895 | i=int(random.random()*len(c)) | ||
| 896 | c2.append(c[i]) | ||
| 897 | del c[i] | ||
| 898 | c=c2 | ||
| 899 | for ci in c: | ||
| 900 | t="" | ||
| 901 | sh=() | ||
| 902 | for i in range(len(ci)): | ||
| 903 | if ci[i]=="R": | ||
| 904 | s="%s:%s"%(1,sh0[i]-1) | ||
| 905 | sh=sh+(sh0[i]-2,) | ||
| 906 | if ci[i]=="U": | ||
| 907 | s=":%s"%(sh0[i]-1) | ||
| 908 | sh=sh+(sh0[i]-1,) | ||
| 909 | if ci[i]=="L": | ||
| 910 | s="2:" | ||
| 911 | sh=sh+(sh0[i]-2,) | ||
| 912 | if ci[i]=="P": | ||
| 913 | s="%s"%(int(sh0[i]/2)) | ||
| 914 | if ci[i]=="C": | ||
| 915 | s=":" | ||
| 916 | sh=sh+(sh0[i],) | ||
| 917 | if ci[i]=="N": | ||
| 918 | s="" | ||
| 919 | sh=sh+(sh0[i],) | ||
| 920 | if len(s)>0: | ||
| 921 | if not t=="": t+="," | ||
| 922 | t+=s | ||
| 923 | N_found=False | ||
| 924 | noN_found=False | ||
| 925 | process=len(t)>0 | ||
| 926 | for i in ci: | ||
| 927 | if i=="N": | ||
| 928 | if not noN_found and N_found: process=False | ||
| 929 | N_found=True | ||
| 930 | else: | ||
| 931 | if N_found: process=False | ||
| 932 | noNfound=True | ||
| 933 | # is there a similar one processed allready | ||
| 934 | if process and ci.find("N")==-1: | ||
| 935 | for ci2 in processed: | ||
| 936 | for chi in check: | ||
| 937 | is_perm=True | ||
| 938 | for i in range(len(chi)): | ||
| 939 | if not ci[i]==ci2[chi[i]]: is_perm=False | ||
| 940 | if is_perm: process=False | ||
| 941 | # if not process: print ci," rejected" | ||
| 942 | if process: | ||
| 943 | processed.append(ci) | ||
| 944 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" | ||
| 945 | tname="test_getslice_%s_rank%s_%s"%(case0,len(sh0),ci) | ||
| 946 | text+=" def %s(self):\n"%tname | ||
| 947 | a_0=makeNumberedArray(sh0,s=1) | ||
| 948 | if case0 in ["taggedData", "expandedData"]: | ||
| 949 | a1_0=makeNumberedArray(sh0,s=-1.) | ||
| 950 | else: | ||
| 951 | a1_0=a_0 | ||
| 952 | r=eval("a_0[%s]"%t) | ||
| 953 | r1=eval("a1_0[%s]"%t) | ||
| 954 | text+=mkText(case0,"arg",a_0,a1_0) | ||
| 955 | text+=" res=arg[%s]\n"%t | ||
| 956 | if case0=="Symbol": | ||
| 957 | text+=mkText("array","s",a_0,a1_0) | ||
| 958 | text+=" sub=res.substitute({arg:s})\n" | ||
| 959 | res="sub" | ||
| 960 | text+=mkText("array","ref",r,r1) | ||
| 961 | else: | ||
| 962 | res="res" | ||
| 963 | text+=mkText(case0,"ref",r,r1) | ||
| 964 | text+=mkTypeAndShapeTest(case0,sh,"res") | ||
| 965 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res | ||
| 966 | |||
| 967 | if case0 == "taggedData" : | ||
| 968 | t_prog_with_tags+=text | ||
| 969 | else: | ||
| 970 | t_prog+=text | ||
| 971 | |||
| 972 | print test_header | ||
| 973 | # print t_prog | ||
| 974 | print t_prog_with_tags | ||
| 975 | print test_tail | ||
| 976 | 1/0 | ||
| 977 | #============================================================================================ | ||
| 978 | gross | 291 | def innerTEST(arg0,arg1): |
| 979 | if isinstance(arg0,float): | ||
| 980 | out=numarray.array(arg0*arg1) | ||
| 981 | else: | ||
| 982 | out=(arg0*arg1).sum() | ||
| 983 | return out | ||
| 984 | |||
| 985 | def outerTEST(arg0,arg1): | ||
| 986 | if isinstance(arg0,float): | ||
| 987 | out=numarray.array(arg0*arg1) | ||
| 988 | elif isinstance(arg1,float): | ||
| 989 | out=numarray.array(arg0*arg1) | ||
| 990 | else: | ||
| 991 | out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape) | ||
| 992 | return out | ||
| 993 | |||
| 994 | def tensorProductTest(arg0,arg1,sh_s): | ||
| 995 | if isinstance(arg0,float): | ||
| 996 | out=numarray.array(arg0*arg1) | ||
| 997 | elif isinstance(arg1,float): | ||
| 998 | out=numarray.array(arg0*arg1) | ||
| 999 | elif len(sh_s)==0: | ||
| 1000 | out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape) | ||
| 1001 | else: | ||
| 1002 | l=len(sh_s) | ||
| 1003 | sh0=arg0.shape[:arg0.rank-l] | ||
| 1004 | sh1=arg1.shape[l:] | ||
| 1005 | ls,l0,l1=1,1,1 | ||
| 1006 | for i in sh_s: ls*=i | ||
| 1007 | for i in sh0: l0*=i | ||
| 1008 | for i in sh1: l1*=i | ||
| 1009 | out1=numarray.outerproduct(arg0,arg1).resize((l0,ls,ls,l1)) | ||
| 1010 | out2=numarray.zeros((l0,l1),numarray.Float) | ||
| 1011 | for i0 in range(l0): | ||
| 1012 | for i1 in range(l1): | ||
| 1013 | for i in range(ls): out2[i0,i1]+=out1[i0,i,i,i1] | ||
| 1014 | out=out2.resize(sh0+sh1) | ||
| 1015 | return out | ||
| 1016 | |||
| 1017 | def testMatrixMult(arg0,arg1,sh_s): | ||
| 1018 | return numarray.matrixmultiply(arg0,arg1) | ||
| 1019 | |||
| 1020 | |||
| 1021 | def testTensorMult(arg0,arg1,sh_s): | ||
| 1022 | if len(arg0)==2: | ||
| 1023 | return numarray.matrixmultiply(arg0,arg1) | ||
| 1024 | else: | ||
| 1025 | if arg1.rank==4: | ||
| 1026 | out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[2],arg1.shape[3]),numarray.Float) | ||
| 1027 | for i0 in range(arg0.shape[0]): | ||
| 1028 | for i1 in range(arg0.shape[1]): | ||
| 1029 | for i2 in range(arg0.shape[2]): | ||
| 1030 | for i3 in range(arg0.shape[3]): | ||
| 1031 | for j2 in range(arg1.shape[2]): | ||
| 1032 | for j3 in range(arg1.shape[3]): | ||
| 1033 | out[i0,i1,j2,j3]+=arg0[i0,i1,i2,i3]*arg1[i2,i3,j2,j3] | ||
| 1034 | elif arg1.rank==3: | ||
| 1035 | out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[2]),numarray.Float) | ||
| 1036 | for i0 in range(arg0.shape[0]): | ||
| 1037 | for i1 in range(arg0.shape[1]): | ||
| 1038 | for i2 in range(arg0.shape[2]): | ||
| 1039 | for i3 in range(arg0.shape[3]): | ||
| 1040 | for j2 in range(arg1.shape[2]): | ||
| 1041 | out[i0,i1,j2]+=arg0[i0,i1,i2,i3]*arg1[i2,i3,j2] | ||
| 1042 | elif arg1.rank==2: | ||
| 1043 | out=numarray.zeros((arg0.shape[0],arg0.shape[1]),numarray.Float) | ||
| 1044 | for i0 in range(arg0.shape[0]): | ||
| 1045 | for i1 in range(arg0.shape[1]): | ||
| 1046 | for i2 in range(arg0.shape[2]): | ||
| 1047 | for i3 in range(arg0.shape[3]): | ||
| 1048 | out[i0,i1]+=arg0[i0,i1,i2,i3]*arg1[i2,i3] | ||
| 1049 | return out | ||
| 1050 | gross | 313 | |
| 1051 | def testReduce(arg0,init_val,test_expr,post_expr): | ||
| 1052 | out=init_val | ||
| 1053 | if isinstance(arg0,float): | ||
| 1054 | out=eval(test_expr.replace("%a1%","arg0")) | ||
| 1055 | elif arg0.rank==0: | ||
| 1056 | out=eval(test_expr.replace("%a1%","arg0")) | ||
| 1057 | elif arg0.rank==1: | ||
| 1058 | for i0 in range(arg0.shape[0]): | ||
| 1059 | out=eval(test_expr.replace("%a1%","arg0[i0]")) | ||
| 1060 | elif arg0.rank==2: | ||
| 1061 | for i0 in range(arg0.shape[0]): | ||
| 1062 | for i1 in range(arg0.shape[1]): | ||
| 1063 | out=eval(test_expr.replace("%a1%","arg0[i0,i1]")) | ||
| 1064 | elif arg0.rank==3: | ||
| 1065 | for i0 in range(arg0.shape[0]): | ||
| 1066 | for i1 in range(arg0.shape[1]): | ||
| 1067 | for i2 in range(arg0.shape[2]): | ||
| 1068 | out=eval(test_expr.replace("%a1%","arg0[i0,i1,i2]")) | ||
| 1069 | elif arg0.rank==4: | ||
| 1070 | for i0 in range(arg0.shape[0]): | ||
| 1071 | for i1 in range(arg0.shape[1]): | ||
| 1072 | for i2 in range(arg0.shape[2]): | ||
| 1073 | for i3 in range(arg0.shape[3]): | ||
| 1074 | out=eval(test_expr.replace("%a1%","arg0[i0,i1,i2,i3]")) | ||
| 1075 | return eval(post_expr) | ||
| 1076 | gross | 396 | |
| 1077 | def clipTEST(arg0,mn,mx): | ||
| 1078 | if isinstance(arg0,float): | ||
| 1079 | return max(min(arg0,mx),mn) | ||
| 1080 | out=numarray.zeros(arg0.shape,numarray.Float64) | ||
| 1081 | if arg0.rank==1: | ||
| 1082 | for i0 in range(arg0.shape[0]): | ||
| 1083 | out[i0]=max(min(arg0[i0],mx),mn) | ||
| 1084 | elif arg0.rank==2: | ||
| 1085 | for i0 in range(arg0.shape[0]): | ||
| 1086 | for i1 in range(arg0.shape[1]): | ||
| 1087 | out[i0,i1]=max(min(arg0[i0,i1],mx),mn) | ||
| 1088 | elif arg0.rank==3: | ||
| 1089 | for i0 in range(arg0.shape[0]): | ||
| 1090 | for i1 in range(arg0.shape[1]): | ||
| 1091 | for i2 in range(arg0.shape[2]): | ||
| 1092 | out[i0,i1,i2]=max(min(arg0[i0,i1,i2],mx),mn) | ||
| 1093 | elif arg0.rank==4: | ||
| 1094 | for i0 in range(arg0.shape[0]): | ||
| 1095 | for i1 in range(arg0.shape[1]): | ||
| 1096 | for i2 in range(arg0.shape[2]): | ||
| 1097 | for i3 in range(arg0.shape[3]): | ||
| 1098 | out[i0,i1,i2,i3]=max(min(arg0[i0,i1,i2,i3],mx),mn) | ||
| 1099 | return out | ||
| 1100 | def minimumTEST(arg0,arg1): | ||
| 1101 | if isinstance(arg0,float): | ||
| 1102 | if isinstance(arg1,float): | ||
| 1103 | if arg0>arg1: | ||
| 1104 | return arg1 | ||
| 1105 | else: | ||
| 1106 | return arg0 | ||
| 1107 | else: | ||
| 1108 | arg0=numarray.ones(arg1.shape)*arg0 | ||
| 1109 | else: | ||
| 1110 | if isinstance(arg1,float): | ||
| 1111 | arg1=numarray.ones(arg0.shape)*arg1 | ||
| 1112 | out=numarray.zeros(arg0.shape,numarray.Float64) | ||
| 1113 | if arg0.rank==0: | ||
| 1114 | if arg0>arg1: | ||
| 1115 | out=arg1 | ||
| 1116 | else: | ||
| 1117 | out=arg0 | ||
| 1118 | elif arg0.rank==1: | ||
| 1119 | for i0 in range(arg0.shape[0]): | ||
| 1120 | if arg0[i0]>arg1[i0]: | ||
| 1121 | out[i0]=arg1[i0] | ||
| 1122 | else: | ||
| 1123 | out[i0]=arg0[i0] | ||
| 1124 | elif arg0.rank==2: | ||
| 1125 | for i0 in range(arg0.shape[0]): | ||
| 1126 | for i1 in range(arg0.shape[1]): | ||
| 1127 | if arg0[i0,i1]>arg1[i0,i1]: | ||
| 1128 | out[i0,i1]=arg1[i0,i1] | ||
| 1129 | else: | ||
| 1130 | out[i0,i1]=arg0[i0,i1] | ||
| 1131 | elif arg0.rank==3: | ||
| 1132 | for i0 in range(arg0.shape[0]): | ||
| 1133 | for i1 in range(arg0.shape[1]): | ||
| 1134 | for i2 in range(arg0.shape[2]): | ||
| 1135 | if arg0[i0,i1,i2]>arg1[i0,i1,i2]: | ||
| 1136 | out[i0,i1,i2]=arg1[i0,i1,i2] | ||
| 1137 | else: | ||
| 1138 | out[i0,i1,i2]=arg0[i0,i1,i2] | ||
| 1139 | elif arg0.rank==4: | ||
| 1140 | for i0 in range(arg0.shape[0]): | ||
| 1141 | for i1 in range(arg0.shape[1]): | ||
| 1142 | for i2 in range(arg0.shape[2]): | ||
| 1143 | for i3 in range(arg0.shape[3]): | ||
| 1144 | if arg0[i0,i1,i2,i3]>arg1[i0,i1,i2,i3]: | ||
| 1145 | out[i0,i1,i2,i3]=arg1[i0,i1,i2,i3] | ||
| 1146 | else: | ||
| 1147 | out[i0,i1,i2,i3]=arg0[i0,i1,i2,i3] | ||
| 1148 | return out | ||
| 1149 | gross | 443 | |
| 1150 | gross | 439 | def unrollLoops(a,b,o,arg,tap="",x="x"): |
| 1151 | gross | 437 | out="" |
| 1152 | if a.rank==1: | ||
| 1153 | z="" | ||
| 1154 | for i99 in range(a.shape[0]): | ||
| 1155 | if not z=="": z+="+" | ||
| 1156 | if o=="1": | ||
| 1157 | gross | 439 | z+="(%s)*%s[%s]"%(a[i99]+b[i99],x,i99) |
| 1158 | gross | 437 | else: |
| 1159 | gross | 439 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i99],x,i99,b[i99],x,i99) |
| 1160 | gross | 437 | |
| 1161 | out+=tap+"%s=%s\n"%(arg,z) | ||
| 1162 | |||
| 1163 | elif a.rank==2: | ||
| 1164 | for i0 in range(a.shape[0]): | ||
| 1165 | z="" | ||
| 1166 | for i99 in range(a.shape[1]): | ||
| 1167 | if not z=="": z+="+" | ||
| 1168 | if o=="1": | ||
| 1169 | z+="(%s)*x[%s]"%(a[i0,i99]+b[i0,i99],i99) | ||
| 1170 | else: | ||
| 1171 | gross | 439 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i99],x,i99,b[i0,i99],x,i99) |
| 1172 | gross | 437 | |
| 1173 | out+=tap+"%s[%s]=%s\n"%(arg,i0,z) | ||
| 1174 | elif a.rank==3: | ||
| 1175 | for i0 in range(a.shape[0]): | ||
| 1176 | for i1 in range(a.shape[1]): | ||
| 1177 | z="" | ||
| 1178 | for i99 in range(a.shape[2]): | ||
| 1179 | if not z=="": z+="+" | ||
| 1180 | if o=="1": | ||
| 1181 | gross | 439 | z+="(%s)*%s[%s]"%(a[i0,i1,i99]+b[i0,i1,i99],x,i99) |
| 1182 | gross | 437 | else: |
| 1183 | gross | 439 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i99],x,i99,b[i0,i1,i99],x,i99) |
| 1184 | gross | 437 | |
| 1185 | out+=tap+"%s[%s,%s]=%s\n"%(arg,i0,i1,z) | ||
| 1186 | elif a.rank==4: | ||
| 1187 | for i0 in range(a.shape[0]): | ||
| 1188 | for i1 in range(a.shape[1]): | ||
| 1189 | for i2 in range(a.shape[2]): | ||
| 1190 | z="" | ||
| 1191 | for i99 in range(a.shape[3]): | ||
| 1192 | if not z=="": z+="+" | ||
| 1193 | if o=="1": | ||
| 1194 | gross | 439 | z+="(%s)*%s[%s]"%(a[i0,i1,i2,i99]+b[i0,i1,i2,i99],x,i99) |
| 1195 | gross | 437 | else: |
| 1196 | gross | 439 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i2,i99],x,i99,b[i0,i1,i2,i99],x,i99) |
| 1197 | gross | 437 | |
| 1198 | out+=tap+"%s[%s,%s,%s]=%s\n"%(arg,i0,i1,i2,z) | ||
| 1199 | elif a.rank==5: | ||
| 1200 | for i0 in range(a.shape[0]): | ||
| 1201 | for i1 in range(a.shape[1]): | ||
| 1202 | for i2 in range(a.shape[2]): | ||
| 1203 | for i3 in range(a.shape[3]): | ||
| 1204 | z="" | ||
| 1205 | for i99 in range(a.shape[4]): | ||
| 1206 | if not z=="": z+="+" | ||
| 1207 | if o=="1": | ||
| 1208 | gross | 439 | z+="(%s)*%s[%s]"%(a[i0,i1,i2,i3,i99]+b[i0,i1,i2,i3,i99],x,i99) |
| 1209 | gross | 437 | else: |
| 1210 | gross | 439 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i2,i3,i99],x,i99,b[i0,i1,i2,i3,i99],x,i99) |
| 1211 | gross | 437 | |
| 1212 | out+=tap+"%s[%s,%s,%s,%s]=%s\n"%(arg,i0,i1,i2,i3,z) | ||
| 1213 | return out | ||
| 1214 | |||
| 1215 | def unrollLoopsOfGrad(a,b,o,arg,tap=""): | ||
| 1216 | out="" | ||
| 1217 | if a.rank==1: | ||
| 1218 | for i99 in range(a.shape[0]): | ||
| 1219 | if o=="1": | ||
| 1220 | out+=tap+"%s[%s]=(%s)\n"%(arg,i99,a[i99]+b[i99]) | ||
| 1221 | else: | ||
| 1222 | out+=tap+"%s[%s]=o*(%s)*x_ref[%s]**(o-1)+(%s)\n"%(arg,i99,a[i99],i99,b[i99]) | ||
| 1223 | |||
| 1224 | elif a.rank==2: | ||
| 1225 | for i0 in range(a.shape[0]): | ||
| 1226 | for i99 in range(a.shape[1]): | ||
| 1227 | if o=="1": | ||
| 1228 | out+=tap+"%s[%s,%s]=(%s)\n"%(arg,i0,i99,a[i0,i99]+b[i0,i99]) | ||
| 1229 | else: | ||
| 1230 | out+=tap+"%s[%s,%s]=o*(%s)*x_ref[%s]**(o-1)+(%s)\n"%(arg,i0,i99,a[i0,i99],i99,b[i0,i99]) | ||
| 1231 | |||
| 1232 | elif a.rank==3: | ||
| 1233 | for i0 in range(a.shape[0]): | ||
| 1234 | for i1 in range(a.shape[1]): | ||
| 1235 | for i99 in range(a.shape[2]): | ||
| 1236 | if o=="1": | ||
| 1237 | out+=tap+"%s[%s,%s,%s]=(%s)\n"%(arg,i0,i1,i99,a[i0,i1,i99]+b[i0,i1,i99]) | ||
| 1238 | else: | ||
| 1239 | 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]) | ||
| 1240 | |||
| 1241 | elif a.rank==4: | ||
| 1242 | for i0 in range(a.shape[0]): | ||
| 1243 | for i1 in range(a.shape[1]): | ||
| 1244 | for i2 in range(a.shape[2]): | ||
| 1245 | for i99 in range(a.shape[3]): | ||
| 1246 | if o=="1": | ||
| 1247 | out+=tap+"%s[%s,%s,%s,%s]=(%s)\n"%(arg,i0,i1,i2,i99,a[i0,i1,i2,i99]+b[i0,i1,i2,i99]) | ||
| 1248 | else: | ||
| 1249 | 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]) | ||
| 1250 | gross | 438 | return out |
| 1251 | gross | 441 | def unrollLoopsOfDiv(a,b,o,arg,tap=""): |
| 1252 | out=tap+arg+"=" | ||
| 1253 | if o=="1": | ||
| 1254 | z=0. | ||
| 1255 | for i99 in range(a.shape[0]): | ||
| 1256 | z+=b[i99,i99]+a[i99,i99] | ||
| 1257 | out+="(%s)"%z | ||
| 1258 | else: | ||
| 1259 | z=0. | ||
| 1260 | for i99 in range(a.shape[0]): | ||
| 1261 | z+=b[i99,i99] | ||
| 1262 | if i99>0: out+="+" | ||
| 1263 | out+="o*(%s)*x_ref[%s]**(o-1)"%(a[i99,i99],i99) | ||
| 1264 | out+="+(%s)"%z | ||
| 1265 | return out | ||
| 1266 | |||
| 1267 | gross | 437 | def unrollLoopsOfInteriorIntegral(a,b,where,arg,tap=""): |
| 1268 | if where=="Function": | ||
| 1269 | xfac_o=1. | ||
| 1270 | xfac_op=0. | ||
| 1271 | z_fac=1./2. | ||
| 1272 | z_fac_s="" | ||
| 1273 | zo_fac_s="/(o+1.)" | ||
| 1274 | elif where=="FunctionOnBoundary": | ||
| 1275 | xfac_o=1. | ||
| 1276 | xfac_op=0. | ||
| 1277 | z_fac=1. | ||
| 1278 | z_fac_s="*dim" | ||
| 1279 | zo_fac_s="*(1+2.*(dim-1.)/(o+1.))" | ||
| 1280 | elif where in ["FunctionOnContactZero","FunctionOnContactOne"]: | ||
| 1281 | xfac_o=0. | ||
| 1282 | xfac_op=1. | ||
| 1283 | z_fac=1./2. | ||
| 1284 | z_fac_s="" | ||
| 1285 | zo_fac_s="/(o+1.)" | ||
| 1286 | out="" | ||
| 1287 | if a.rank==1: | ||
| 1288 | zo=0. | ||
| 1289 | zop=0. | ||
| 1290 | z=0. | ||
| 1291 | for i99 in range(a.shape[0]): | ||
| 1292 | if i99==0: | ||
| 1293 | zo+= xfac_o*a[i99] | ||
| 1294 | zop+= xfac_op*a[i99] | ||
| 1295 | else: | ||
| 1296 | zo+=a[i99] | ||
| 1297 | z+=b[i99] | ||
| 1298 | |||
| 1299 | out+=tap+"%s=(%s)%s+(%s)%s"%(arg,zo,zo_fac_s,z*z_fac,z_fac_s) | ||
| 1300 | if zop==0.: | ||
| 1301 | out+="\n" | ||
| 1302 | else: | ||
| 1303 | out+="+(%s)*0.5**o\n"%zop | ||
| 1304 | elif a.rank==2: | ||
| 1305 | for i0 in range(a.shape[0]): | ||
| 1306 | zo=0. | ||
| 1307 | zop=0. | ||
| 1308 | z=0. | ||
| 1309 | for i99 in range(a.shape[1]): | ||
| 1310 | if i99==0: | ||
| 1311 | zo+= xfac_o*a[i0,i99] | ||
| 1312 | zop+= xfac_op*a[i0,i99] | ||
| 1313 | else: | ||
| 1314 | zo+=a[i0,i99] | ||
| 1315 | z+=b[i0,i99] | ||
| 1316 | |||
| 1317 | out+=tap+"%s[%s]=(%s)%s+(%s)%s"%(arg,i0,zo,zo_fac_s,z*z_fac,z_fac_s) | ||
| 1318 | if zop==0.: | ||
| 1319 | out+="\n" | ||
| 1320 | else: | ||
| 1321 | out+="+(%s)*0.5**o\n"%zop | ||
| 1322 | elif a.rank==3: | ||
| 1323 | for i0 in range(a.shape[0]): | ||
| 1324 | for i1 in range(a.shape[1]): | ||
| 1325 | zo=0. | ||
| 1326 | zop=0. | ||
| 1327 | z=0. | ||
| 1328 | for i99 in range(a.shape[2]): | ||
| 1329 | if i99==0: | ||
| 1330 | zo+= xfac_o*a[i0,i1,i99] | ||
| 1331 | zop+= xfac_op*a[i0,i1,i99] | ||
| 1332 | else: | ||
| 1333 | zo+=a[i0,i1,i99] | ||
| 1334 | z+=b[i0,i1,i99] | ||
| 1335 | |||
| 1336 | out+=tap+"%s[%s,%s]=(%s)%s+(%s)%s"%(arg,i0,i1,zo,zo_fac_s,z*z_fac,z_fac_s) | ||
| 1337 | if zop==0.: | ||
| 1338 | out+="\n" | ||
| 1339 | else: | ||
| 1340 | out+="+(%s)*0.5**o\n"%zop | ||
| 1341 | elif a.rank==4: | ||
| 1342 | for i0 in range(a.shape[0]): | ||
| 1343 | for i1 in range(a.shape[1]): | ||
| 1344 | for i2 in range(a.shape[2]): | ||
| 1345 | zo=0. | ||
| 1346 | zop=0. | ||
| 1347 | z=0. | ||
| 1348 | for i99 in range(a.shape[3]): | ||
| 1349 | if i99==0: | ||
| 1350 | zo+= xfac_o*a[i0,i1,i2,i99] | ||
| 1351 | zop+= xfac_op*a[i0,i1,i2,i99] | ||
| 1352 | |||
| 1353 | else: | ||
| 1354 | zo+=a[i0,i1,i2,i99] | ||
| 1355 | z+=b[i0,i1,i2,i99] | ||
| 1356 | |||
| 1357 | out+=tap+"%s[%s,%s,%s]=(%s)%s+(%s)%s"%(arg,i0,i1,i2,zo,zo_fac_s,z*z_fac,z_fac_s) | ||
| 1358 | if zop==0.: | ||
| 1359 | out+="\n" | ||
| 1360 | else: | ||
| 1361 | out+="+(%s)*0.5**o\n"%zop | ||
| 1362 | |||
| 1363 | elif a.rank==5: | ||
| 1364 | for i0 in range(a.shape[0]): | ||
| 1365 | for i1 in range(a.shape[1]): | ||
| 1366 | for i2 in range(a.shape[2]): | ||
| 1367 | for i3 in range(a.shape[3]): | ||
| 1368 | zo=0. | ||
| 1369 | zop=0. | ||
| 1370 | z=0. | ||
| 1371 | for i99 in range(a.shape[4]): | ||
| 1372 | if i99==0: | ||
| 1373 | zo+= xfac_o*a[i0,i1,i2,i3,i99] | ||
| 1374 | zop+= xfac_op*a[i0,i1,i2,i3,i99] | ||
| 1375 | |||
| 1376 | else: | ||
| 1377 | zo+=a[i0,i1,i2,i3,i99] | ||
| 1378 | z+=b[i0,i1,i2,i3,i99] | ||
| 1379 | 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) | ||
| 1380 | if zop==0.: | ||
| 1381 | out+="\n" | ||
| 1382 | else: | ||
| 1383 | out+="+(%s)*0.5**o\n"%zop | ||
| 1384 | |||
| 1385 | return out | ||
| 1386 | gross | 443 | def unrollLoopsSimplified(b,arg,tap=""): |
| 1387 | out="" | ||
| 1388 | if isinstance(b,float) or b.rank==0: | ||
| 1389 | out+=tap+"%s=(%s)*x[0]\n"%(arg,str(b)) | ||
| 1390 | |||
| 1391 | elif b.rank==1: | ||
| 1392 | for i0 in range(b.shape[0]): | ||
| 1393 | out+=tap+"%s[%s]=(%s)*x[%s]\n"%(arg,i0,b[i0],i0) | ||
| 1394 | elif b.rank==2: | ||
| 1395 | for i0 in range(b.shape[0]): | ||
| 1396 | for i1 in range(b.shape[1]): | ||
| 1397 | out+=tap+"%s[%s,%s]=(%s)*x[%s]\n"%(arg,i0,i1,b[i0,i1],i1) | ||
| 1398 | elif b.rank==3: | ||
| 1399 | for i0 in range(b.shape[0]): | ||
| 1400 | for i1 in range(b.shape[1]): | ||
| 1401 | for i2 in range(b.shape[2]): | ||
| 1402 | out+=tap+"%s[%s,%s,%s]=(%s)*x[%s]\n"%(arg,i0,i1,i2,b[i0,i1,i2],i2) | ||
| 1403 | elif b.rank==4: | ||
| 1404 | for i0 in range(b.shape[0]): | ||
| 1405 | for i1 in range(b.shape[1]): | ||
| 1406 | for i2 in range(b.shape[2]): | ||
| 1407 | for i3 in range(b.shape[3]): | ||
| 1408 | out+=tap+"%s[%s,%s,%s,%s]=(%s)*x[%s]\n"%(arg,i0,i1,i2,i3,b[i0,i1,i2,i3],i3) | ||
| 1409 | return out | ||
| 1410 | |||
| 1411 | def unrollLoopsOfL2(b,where,arg,tap=""): | ||
| 1412 | out="" | ||
| 1413 | z=[] | ||
| 1414 | if isinstance(b,float) or b.rank==0: | ||
| 1415 | z.append(b**2) | ||
| 1416 | elif b.rank==1: | ||
| 1417 | for i0 in range(b.shape[0]): | ||
| 1418 | z.append(b[i0]**2) | ||
| 1419 | elif b.rank==2: | ||
| 1420 | for i1 in range(b.shape[1]): | ||
| 1421 | s=0 | ||
| 1422 | for i0 in range(b.shape[0]): | ||
| 1423 | s+=b[i0,i1]**2 | ||
| 1424 | z.append(s) | ||
| 1425 | elif b.rank==3: | ||
| 1426 | for i2 in range(b.shape[2]): | ||
| 1427 | s=0 | ||
| 1428 | for i0 in range(b.shape[0]): | ||
| 1429 | for i1 in range(b.shape[1]): | ||
| 1430 | s+=b[i0,i1,i2]**2 | ||
| 1431 | z.append(s) | ||
| 1432 | |||
| 1433 | elif b.rank==4: | ||
| 1434 | for i3 in range(b.shape[3]): | ||
| 1435 | s=0 | ||
| 1436 | for i0 in range(b.shape[0]): | ||
| 1437 | for i1 in range(b.shape[1]): | ||
| 1438 | for i2 in range(b.shape[2]): | ||
| 1439 | s+=b[i0,i1,i2,i3]**2 | ||
| 1440 | z.append(s) | ||
| 1441 | if where=="Function": | ||
| 1442 | xfac_o=1. | ||
| 1443 | xfac_op=0. | ||
| 1444 | z_fac_s="" | ||
| 1445 | zo_fac_s="" | ||
| 1446 | zo_fac=1./3. | ||
| 1447 | elif where=="FunctionOnBoundary": | ||
| 1448 | xfac_o=1. | ||
| 1449 | xfac_op=0. | ||
| 1450 | z_fac_s="*dim" | ||
| 1451 | zo_fac_s="*(2.*dim+1.)/3." | ||
| 1452 | zo_fac=1. | ||
| 1453 | elif where in ["FunctionOnContactZero","FunctionOnContactOne"]: | ||
| 1454 | xfac_o=0. | ||
| 1455 | xfac_op=1. | ||
| 1456 | z_fac_s="" | ||
| 1457 | zo_fac_s="" | ||
| 1458 | zo_fac=1./3. | ||
| 1459 | zo=0. | ||
| 1460 | zop=0. | ||
| 1461 | for i99 in range(len(z)): | ||
| 1462 | if i99==0: | ||
| 1463 | zo+=xfac_o*z[i99] | ||
| 1464 | zop+=xfac_op*z[i99] | ||
| 1465 | else: | ||
| 1466 | zo+=z[i99] | ||
| 1467 | out+=tap+"%s=sqrt((%s)%s"%(arg,zo*zo_fac,zo_fac_s) | ||
| 1468 | if zop==0.: | ||
| 1469 | out+=")\n" | ||
| 1470 | else: | ||
| 1471 | out+="+(%s))\n"%(zop*0.5**2) | ||
| 1472 | return out | ||
| 1473 | gross | 493 | #======================================================================================================= |
| 1474 | # transpose | ||
| 1475 | #======================================================================================================= | ||
| 1476 | def transposeTest(r,offset): | ||
| 1477 | if isinstance(r,float): return r | ||
| 1478 | s=r.shape | ||
| 1479 | s1=1 | ||
| 1480 | for i in s[:offset]: s1*=i | ||
| 1481 | s2=1 | ||
| 1482 | for i in s[offset:]: s2*=i | ||
| 1483 | out=numarray.reshape(r,(s1,s2)) | ||
| 1484 | out.transpose() | ||
| 1485 | return numarray.resize(out,s[offset:]+s[:offset]) | ||
| 1486 | gross | 443 | |
| 1487 | gross | 493 | name,tt="transpose",transposeTest |
| 1488 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: | ||
| 1489 | for sh0 in [ (), (3,), (4,5), (6,2,2),(3,2,3,4)]: | ||
| 1490 | for offset in range(len(sh0)+1): | ||
| 1491 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" | ||
| 1492 | tname="test_%s_%s_rank%s_offset%s"%(name,case0,len(sh0),offset) | ||
| 1493 | text+=" def %s(self):\n"%tname | ||
| 1494 | sh_t=sh0[offset:]+sh0[:offset] | ||
| 1495 | |||
| 1496 | # sh_t=list(sh0) | ||
| 1497 | # sh_t[offset+1]=sh_t[offset] | ||
| 1498 | # sh_t=tuple(sh_t) | ||
| 1499 | # sh_r=[] | ||
| 1500 | # for i in range(offset): sh_r.append(sh0[i]) | ||
| 1501 | # for i in range(offset+2,len(sh0)): sh_r.append(sh0[i]) | ||
| 1502 | # sh_r=tuple(sh_r) | ||
| 1503 | |||
| 1504 | a_0=makeArray(sh0,[-1.,1]) | ||
| 1505 | if case0 in ["taggedData", "expandedData"]: | ||
| 1506 | a1_0=makeArray(sh0,[-1.,1]) | ||
| 1507 | else: | ||
| 1508 | a1_0=a_0 | ||
| 1509 | r=tt(a_0,offset) | ||
| 1510 | r1=tt(a1_0,offset) | ||
| 1511 | text+=mkText(case0,"arg",a_0,a1_0) | ||
| 1512 | text+=" res=%s(arg,%s)\n"%(name,offset) | ||
| 1513 | if case0=="Symbol": | ||
| 1514 | text+=mkText("array","s",a_0,a1_0) | ||
| 1515 | text+=" sub=res.substitute({arg:s})\n" | ||
| 1516 | res="sub" | ||
| 1517 | text+=mkText("array","ref",r,r1) | ||
| 1518 | else: | ||
| 1519 | res="res" | ||
| 1520 | text+=mkText(case0,"ref",r,r1) | ||
| 1521 | text+=mkTypeAndShapeTest(case0,sh_t,"res") | ||
| 1522 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res | ||
| 1523 | |||
| 1524 | if case0 == "taggedData" : | ||
| 1525 | t_prog_with_tags+=text | ||
| 1526 | else: | ||
| 1527 | t_prog+=text | ||
| 1528 | |||
| 1529 | print test_header | ||
| 1530 | # print t_prog | ||
| 1531 | print t_prog_with_tags | ||
| 1532 | print test_tail | ||
| 1533 | 1/0 | ||
| 1534 | gross | 441 | #======================================================================================================= |
| 1535 | gross | 443 | # L2 |
| 1536 | #======================================================================================================= | ||
| 1537 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: | ||
| 1538 | for data in ["Data","Symbol"]: | ||
| 1539 | for sh in [ (),(2,), (4,5), (6,2,2),(4,5,3,2)]: | ||
| 1540 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" | ||
| 1541 | tname="test_L2_on%s_from%s_rank%s"%(where,data,len(sh)) | ||
| 1542 | text+=" def %s(self):\n"%tname | ||
| 1543 | text+=" \"\"\"\n" | ||
| 1544 | text+=" tests L2-norm of %s on the %s\n\n"%(data,where) | ||
| 1545 | text+=" assumptions: self.domain supports integration on %s\n"%where | ||
| 1546 | text+=" \"\"\"\n" | ||
| 1547 | text+=" dim=self.domain.getDim()\n" | ||
| 1548 | text+=" w=%s(self.domain)\n"%where | ||
| 1549 | text+=" x=w.getX()\n" | ||
| 1550 | o="1" | ||
| 1551 | if len(sh)>0: | ||
| 1552 | sh_2=sh[:len(sh)-1]+(2,) | ||
| 1553 | sh_3=sh[:len(sh)-1]+(3,) | ||
| 1554 | b_2=makeArray(sh[:len(sh)-1]+(2,),[-1.,1]) | ||
| 1555 | b_3=makeArray(sh[:len(sh)-1]+(3,),[-1.,1]) | ||
| 1556 | else: | ||
| 1557 | sh_2=() | ||
| 1558 | sh_3=() | ||
| 1559 | b_2=makeArray(sh,[-1.,1]) | ||
| 1560 | b_3=makeArray(sh,[-1.,1]) | ||
| 1561 | |||
| 1562 | if data=="Symbol": | ||
| 1563 | val="s" | ||
| 1564 | res="sub" | ||
| 1565 | else: | ||
| 1566 | val="arg" | ||
| 1567 | res="res" | ||
| 1568 | text+=" if dim==2:\n" | ||
| 1569 | if data=="Symbol": | ||
| 1570 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh_2) | ||
| 1571 | |||
| 1572 | text+=" %s=Data(0,%s,w)\n"%(val,sh_2) | ||
| 1573 | text+=unrollLoopsSimplified(b_2,val,tap=" ") | ||
| 1574 | text+=unrollLoopsOfL2(b_2,where,"ref",tap=" ") | ||
| 1575 | text+="\n else:\n" | ||
| 1576 | if data=="Symbol": | ||
| 1577 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh_3) | ||
| 1578 | text+=" %s=Data(0,%s,w)\n"%(val,sh_3) | ||
| 1579 | text+=unrollLoopsSimplified(b_3,val,tap=" ") | ||
| 1580 | text+=unrollLoopsOfL2(b_3,where,"ref",tap=" ") | ||
| 1581 | text+="\n res=L2(arg)\n" | ||
| 1582 | if data=="Symbol": | ||
| 1583 | text+=" sub=res.substitute({arg:s})\n" | ||
| 1584 | text+=" self.failUnless(isinstance(res,Symbol),\"wrong type of result.\")\n" | ||
| 1585 | text+=" self.failUnlessEqual(res.getShape(),(),\"wrong shape of result.\")\n" | ||
| 1586 | else: | ||
| 1587 | text+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n" | ||
| 1588 | text+=" self.failUnlessAlmostEqual(%s,ref,int(-log10(self.RES_TOL)),\"wrong result\")\n"%res | ||
| 1589 | t_prog+=text | ||
| 1590 | print t_prog | ||
| 1591 | 1/0 | ||
| 1592 | |||
| 1593 | #======================================================================================================= | ||
| 1594 | gross | 441 | # div |
| 1595 | #======================================================================================================= | ||
| 1596 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: | ||
| 1597 | for data in ["Data","Symbol"]: | ||
| 1598 | for case in ["ContinuousFunction","Solution","ReducedSolution"]: | ||
| 1599 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" | ||
| 1600 | tname="test_div_on%s_from%s_%s"%(where,data,case) | ||
| 1601 | text+=" def %s(self):\n"%tname | ||
| 1602 | text+=" \"\"\"\n" | ||
| 1603 | text+=" tests divergence of %s on the %s\n\n"%(data,where) | ||
| 1604 | text+=" assumptions: %s(self.domain) exists\n"%case | ||
| 1605 | text+=" self.domain supports div on %s\n"%where | ||
| 1606 | text+=" \"\"\"\n" | ||
| 1607 | if case=="ReducedSolution": | ||
| 1608 | text+=" o=1\n" | ||
| 1609 | o="1" | ||
| 1610 | else: | ||
| 1611 | text+=" o=self.order\n" | ||
| 1612 | o="o" | ||
| 1613 | text+=" dim=self.domain.getDim()\n" | ||
| 1614 | text+=" w_ref=%s(self.domain)\n"%where | ||
| 1615 | text+=" x_ref=w_ref.getX()\n" | ||
| 1616 | text+=" w=%s(self.domain)\n"%case | ||
| 1617 | text+=" x=w.getX()\n" | ||
| 1618 | a_2=makeArray((2,2),[-1.,1]) | ||
| 1619 | b_2=makeArray((2,2),[-1.,1]) | ||
| 1620 | a_3=makeArray((3,3),[-1.,1]) | ||
| 1621 | b_3=makeArray((3,3),[-1.,1]) | ||
| 1622 | if data=="Symbol": | ||
| 1623 | text+=" arg=Symbol(shape=(dim,),dim=dim)\n" | ||
| 1624 | val="s" | ||
| 1625 | res="sub" | ||
| 1626 | else: | ||
| 1627 | val="arg" | ||
| 1628 | res="res" | ||
| 1629 | text+=" %s=Vector(0,w)\n"%val | ||
| 1630 | text+=" if dim==2:\n" | ||
| 1631 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") | ||
| 1632 | text+=unrollLoopsOfDiv(a_2,b_2,o,"ref",tap=" ") | ||
| 1633 | text+="\n else:\n" | ||
| 1634 | |||
| 1635 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") | ||
| 1636 | text+=unrollLoopsOfDiv(a_3,b_3,o,"ref",tap=" ") | ||
| 1637 | text+="\n res=div(arg,where=w_ref)\n" | ||
| 1638 | if data=="Symbol": | ||
| 1639 | text+=" sub=res.substitute({arg:s})\n" | ||
| 1640 | text+=" self.failUnless(isinstance(res,%s),\"wrong type of result.\")\n"%data | ||
| 1641 | text+=" self.failUnlessEqual(res.getShape(),(),\"wrong shape of result.\")\n" | ||
| 1642 | text+=" self.failUnlessEqual(%s.getFunctionSpace(),w_ref,\"wrong function space of result.\")\n"%res | ||
| 1643 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res | ||
| 1644 | gross | 437 | |
| 1645 | gross | 441 | |
| 1646 | t_prog+=text | ||
| 1647 | print t_prog | ||
| 1648 | 1/0 | ||
| 1649 | |||
| 1650 | gross | 439 | #======================================================================================================= |
| 1651 | # interpolation | ||
| 1652 | #======================================================================================================= | ||
| 1653 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne","Solution","ReducedSolution"]: | ||
| 1654 | for data in ["Data","Symbol"]: | ||
| 1655 | for case in ["ContinuousFunction","Solution","ReducedSolution","Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: | ||
| 1656 | for sh in [ (),(2,), (4,5), (6,2,2),(4,5,3,2)]: | ||
| 1657 | if where==case or \ | ||
| 1658 | ( case in ["ContinuousFunction","Solution","ReducedSolution"] and where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"] ) or \ | ||
| 1659 | ( case in ["FunctionOnContactZero","FunctionOnContactOne"] and where in ["FunctionOnContactZero","FunctionOnContactOne"] ) or \ | ||
| 1660 | (case=="ContinuousFunction" and where in ["Solution","ReducedSolution"]) or \ | ||
| 1661 | (case=="Solution" and where=="ReducedSolution") : | ||
| 1662 | |||
| 1663 | |||
| 1664 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" | ||
| 1665 | tname="test_interpolation_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) | ||
| 1666 | text+=" def %s(self):\n"%tname | ||
| 1667 | text+=" \"\"\"\n" | ||
| 1668 | text+=" tests interpolation for rank %s %s onto the %s\n\n"%(len(sh),data,where) | ||
| 1669 | text+=" assumptions: self.domain supports inpterpolation from %s onto %s\n"%(case,where) | ||
| 1670 | text+=" \"\"\"\n" | ||
| 1671 | if case=="ReducedSolution" or where=="ReducedSolution": | ||
| 1672 | text+=" o=1\n" | ||
| 1673 | o="1" | ||
| 1674 | else: | ||
| 1675 | text+=" o=self.order\n" | ||
| 1676 | o="o" | ||
| 1677 | text+=" dim=self.domain.getDim()\n" | ||
| 1678 | text+=" w_ref=%s(self.domain)\n"%where | ||
| 1679 | text+=" x_ref=w_ref.getX()\n" | ||
| 1680 | text+=" w=%s(self.domain)\n"%case | ||
| 1681 | text+=" x=w.getX()\n" | ||
| 1682 | a_2=makeArray(sh+(2,),[-1.,1]) | ||
| 1683 | b_2=makeArray(sh+(2,),[-1.,1]) | ||
| 1684 | a_3=makeArray(sh+(3,),[-1.,1]) | ||
| 1685 | b_3=makeArray(sh+(3,),[-1.,1]) | ||
| 1686 | if data=="Symbol": | ||
| 1687 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh) | ||
| 1688 | val="s" | ||
| 1689 | res="sub" | ||
| 1690 | else: | ||
| 1691 | val="arg" | ||
| 1692 | res="res" | ||
| 1693 | text+=" %s=Data(0,%s,w)\n"%(val,str(sh)) | ||
| 1694 | text+=" ref=Data(0,%s,w_ref)\n"%str(sh) | ||
| 1695 | text+=" if dim==2:\n" | ||
| 1696 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") | ||
| 1697 | text+=unrollLoops(a_2,b_2,o,"ref",tap=" ",x="x_ref") | ||
| 1698 | text+=" else:\n" | ||
| 1699 | |||
| 1700 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") | ||
| 1701 | text+=unrollLoops(a_3,b_3,o,"ref",tap=" ",x="x_ref") | ||
| 1702 | text+=" res=interpolate(arg,where=w_ref)\n" | ||
| 1703 | if data=="Symbol": | ||
| 1704 | text+=" sub=res.substitute({arg:s})\n" | ||
| 1705 | text+=" self.failUnless(isinstance(res,%s),\"wrong type of result.\")\n"%data | ||
| 1706 | text+=" self.failUnlessEqual(%s.getFunctionSpace(),w_ref,\"wrong functionspace of result.\")\n"%res | ||
| 1707 | text+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh) | ||
| 1708 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res | ||
| 1709 | t_prog+=text | ||
| 1710 | print test_header | ||
| 1711 | print t_prog | ||
| 1712 | print test_tail | ||
| 1713 | 1/0 | ||
| 1714 | gross | 437 | |
| 1715 | gross | 429 | #======================================================================================================= |
| 1716 | gross | 438 | # grad |
| 1717 | gross | 437 | #======================================================================================================= |
| 1718 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: | ||
| 1719 | for data in ["Data","Symbol"]: | ||
| 1720 | gross | 438 | for case in ["ContinuousFunction","Solution","ReducedSolution"]: |
| 1721 | for sh in [ (),(2,), (4,5), (6,2,2)]: | ||
| 1722 | gross | 437 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1723 | gross | 438 | tname="test_grad_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) |
| 1724 | gross | 437 | text+=" def %s(self):\n"%tname |
| 1725 | text+=" \"\"\"\n" | ||
| 1726 | gross | 438 | text+=" tests gradient for rank %s %s on the %s\n\n"%(len(sh),data,where) |
| 1727 | gross | 437 | text+=" assumptions: %s(self.domain) exists\n"%case |
| 1728 | gross | 438 | text+=" self.domain supports gardient on %s\n"%where |
| 1729 | gross | 437 | text+=" \"\"\"\n" |
| 1730 | if case=="ReducedSolution": | ||
| 1731 | text+=" o=1\n" | ||
| 1732 | o="1" | ||
| 1733 | else: | ||
| 1734 | text+=" o=self.order\n" | ||
| 1735 | o="o" | ||
| 1736 | text+=" dim=self.domain.getDim()\n" | ||
| 1737 | text+=" w_ref=%s(self.domain)\n"%where | ||
| 1738 | gross | 438 | text+=" x_ref=w_ref.getX()\n" |
| 1739 | gross | 437 | text+=" w=%s(self.domain)\n"%case |
| 1740 | text+=" x=w.getX()\n" | ||
| 1741 | a_2=makeArray(sh+(2,),[-1.,1]) | ||
| 1742 | b_2=makeArray(sh+(2,),[-1.,1]) | ||
| 1743 | a_3=makeArray(sh+(3,),[-1.,1]) | ||
| 1744 | b_3=makeArray(sh+(3,),[-1.,1]) | ||
| 1745 | if data=="Symbol": | ||
| 1746 | gross | 438 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh) |
| 1747 | gross | 437 | val="s" |
| 1748 | res="sub" | ||
| 1749 | else: | ||
| 1750 | val="arg" | ||
| 1751 | res="res" | ||
| 1752 | text+=" %s=Data(0,%s,w)\n"%(val,str(sh)) | ||
| 1753 | gross | 438 | text+=" ref=Data(0,%s+(dim,),w_ref)\n"%str(sh) |
| 1754 | gross | 437 | text+=" if dim==2:\n" |
| 1755 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") | ||
| 1756 | gross | 438 | text+=unrollLoopsOfGrad(a_2,b_2,o,"ref",tap=" ") |
| 1757 | gross | 437 | text+=" else:\n" |
| 1758 | |||
| 1759 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") | ||
| 1760 | gross | 438 | text+=unrollLoopsOfGrad(a_3,b_3,o,"ref",tap=" ") |
| 1761 | text+=" res=grad(arg,where=w_ref)\n" | ||
| 1762 | gross | 437 | if data=="Symbol": |
| 1763 | text+=" sub=res.substitute({arg:s})\n" | ||
| 1764 | gross | 438 | text+=" self.failUnless(isinstance(res,%s),\"wrong type of result.\")\n"%data |
| 1765 | text+=" self.failUnlessEqual(res.getShape(),%s+(dim,),\"wrong shape of result.\")\n"%str(sh) | ||
| 1766 | gross | 437 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1767 | |||
| 1768 | |||
| 1769 | t_prog+=text | ||
| 1770 | print test_header | ||
| 1771 | print t_prog | ||
| 1772 | print test_tail | ||
| 1773 | 1/0 | ||
| 1774 | gross | 438 | |
| 1775 | |||
| 1776 | gross | 437 | #======================================================================================================= |
| 1777 | gross | 438 | # integrate |
| 1778 | gross | 437 | #======================================================================================================= |
| 1779 | gross | 438 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 1780 | gross | 437 | for data in ["Data","Symbol"]: |
| 1781 | gross | 438 | for case in ["ContinuousFunction","Solution","ReducedSolution","Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
| 1782 | for sh in [ (),(2,), (4,5), (6,2,2),(4,5,3,2)]: | ||
| 1783 | if (not case in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]) or where==case: | ||
| 1784 | gross | 437 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 1785 | gross | 438 | tname="test_integrate_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) |
| 1786 | gross | 437 | text+=" def %s(self):\n"%tname |
| 1787 | text+=" \"\"\"\n" | ||
| 1788 | gross | 438 | text+=" tests integral of rank %s %s on the %s\n\n"%(len(sh),data,where) |
| 1789 | text+=" assumptions: %s(self.domain) exists\n"%case | ||
| 1790 | text+=" self.domain supports integral on %s\n"%where | ||
| 1791 | |||
| 1792 | gross | 437 | text+=" \"\"\"\n" |
| 1793 | if case=="ReducedSolution": | ||
| 1794 | text+=" o=1\n" | ||
| 1795 | o="1" | ||
| 1796 | else: | ||
| 1797 | text+=" o=self.order\n" | ||
| 1798 | o="o" | ||
| 1799 | text+=" dim=self.domain.getDim()\n" | ||
| 1800 | text+=" w_ref=%s(self.domain)\n"%where | ||
| 1801 | text+=" w=%s(self.domain)\n"%case | ||
| 1802 | text+=" x=w.getX()\n" | ||
| 1803 | a_2=makeArray(sh+(2,),[-1.,1]) | ||
| 1804 | b_2=makeArray(sh+(2,),[-1.,1]) | ||
| 1805 | a_3=makeArray(sh+(3,),[-1.,1]) | ||
| 1806 | b_3=makeArray(sh+(3,),[-1.,1]) | ||
| 1807 | if data=="Symbol": | ||
| 1808 | gross | 438 | text+=" arg=Symbol(shape=%s)\n"%str(sh) |
| 1809 | gross | 437 | val="s" |
| 1810 | res="sub" | ||
| 1811 | else: | ||
| 1812 | val="arg" | ||
| 1813 | res="res" | ||
| 1814 | gross | 438 | |
| 1815 | gross | 437 | text+=" %s=Data(0,%s,w)\n"%(val,str(sh)) |
| 1816 | gross | 438 | if not len(sh)==0: |
| 1817 | text+=" ref=numarray.zeros(%s,numarray.Float)\n"%str(sh) | ||
| 1818 | gross | 437 | text+=" if dim==2:\n" |
| 1819 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") | ||
| 1820 | gross | 438 | text+=unrollLoopsOfInteriorIntegral(a_2,b_2,where,"ref",tap=" ") |
| 1821 | gross | 437 | text+=" else:\n" |
| 1822 | |||
| 1823 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") | ||
| 1824 | gross | 438 | text+=unrollLoopsOfInteriorIntegral(a_3,b_3,where,"ref",tap=" ") |
| 1825 | if case in ["ContinuousFunction","Solution","ReducedSolution"]: | ||
| 1826 | text+=" res=integrate(arg,where=w_ref)\n" | ||
| 1827 | else: | ||
| 1828 | text+=" res=integrate(arg)\n" | ||
| 1829 | |||
| 1830 | gross | 437 | if data=="Symbol": |
| 1831 | text+=" sub=res.substitute({arg:s})\n" | ||
| 1832 | gross | 438 | if len(sh)==0 and data=="Data": |
| 1833 | text+=" self.failUnless(isinstance(%s,float),\"wrong type of result.\")\n"%res | ||
| 1834 | else: | ||
| 1835 | if data=="Symbol": | ||
| 1836 | text+=" self.failUnless(isinstance(res,Symbol),\"wrong type of result.\")\n" | ||
| 1837 | text+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh) | ||
| 1838 | else: | ||
| 1839 | text+=" self.failUnless(isinstance(res,numarray.NumArray),\"wrong type of result.\")\n" | ||
| 1840 | text+=" self.failUnlessEqual(res.shape,%s,\"wrong shape of result.\")\n"%str(sh) | ||
| 1841 | gross | 437 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
| 1842 | |||
| 1843 | |||
| 1844 | t_prog+=text | ||
| 1845 | print test_header | ||
| 1846 | print t_prog | ||
| 1847 | print test_tail | ||
| 1848 | 1/0 | ||
| 1849 | #======================================================================================================= | ||
| 1850 | gross | 433 | # inverse |
| 1851 | #======================================================================================================= | ||
| 1852 | name="inverse" | ||
| 1853 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: | ||
| 1854 | for sh0 in [ (1,1), (2,2), (3,3)]: | ||
| 1855 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" | ||
| 1856 | tname="test_%s_%s_dim%s"%(name,case0,sh0[0]) | ||
| 1857 | text+=" def %s(self):\n"%tname | ||
| 1858 | a_0=makeArray( |