/[escript]/trunk/escript/py_src/generatediff
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Revision 429 - (show annotations)
Wed Jan 11 05:53:40 2006 UTC (13 years, 10 months ago) by gross
Original Path: trunk/escript/py_src/generateutil
File size: 101320 byte(s)
new implementation and testing for trace function
1 #!/usr/bin/python
2 # $Id$
3
4 """
5 program generates parts of the util.py and the test_util.py script
6 """
7 test_header=""
8 test_header+="import unittest\n"
9 test_header+="import numarray\n"
10 test_header+="from esys.escript import *\n"
11 test_header+="from esys.finley import Rectangle\n"
12 test_header+="class Test_util2(unittest.TestCase):\n"
13 test_header+=" RES_TOL=1.e-7\n"
14 test_header+=" def setUp(self):\n"
15 test_header+=" self.__dom =Rectangle(11,11,2)\n"
16 test_header+=" self.functionspace = FunctionOnBoundary(self.__dom)\n"
17 test_tail=""
18 test_tail+="suite = unittest.TestSuite()\n"
19 test_tail+="suite.addTest(unittest.makeSuite(Test_util2))\n"
20 test_tail+="unittest.TextTestRunner(verbosity=2).run(suite)\n"
21
22 case_set=["float","array","constData","taggedData","expandedData","Symbol"]
23 shape_set=[ (),(2,), (4,5), (6,2,2),(3,2,3,4)]
24
25 t_prog=""
26 t_prog_with_tags=""
27 t_prog_failing=""
28 u_prog=""
29
30 def wherepos(arg):
31 if arg>0.:
32 return 1.
33 else:
34 return 0.
35
36
37 class OPERATOR:
38 def __init__(self,nickname,rng=[-1000.,1000],test_expr="",math_expr=None,
39 numarray_expr="",symbol_expr=None,diff=None,name=""):
40 self.nickname=nickname
41 self.rng=rng
42 self.test_expr=test_expr
43 if math_expr==None:
44 self.math_expr=test_expr.replace("%a1%","arg")
45 else:
46 self.math_expr=math_expr
47 self.numarray_expr=numarray_expr
48 self.symbol_expr=symbol_expr
49 self.diff=diff
50 self.name=name
51
52 import random
53 import numarray
54 import math
55 finc=1.e-6
56
57 def getResultCaseForBin(case0,case1):
58 if case0=="float":
59 if case1=="float":
60 case="float"
61 elif case1=="array":
62 case="array"
63 elif case1=="constData":
64 case="constData"
65 elif case1=="taggedData":
66 case="taggedData"
67 elif case1=="expandedData":
68 case="expandedData"
69 elif case1=="Symbol":
70 case="Symbol"
71 else:
72 raise ValueError,"unknown case1=%s"%case1
73 elif case0=="array":
74 if case1=="float":
75 case="array"
76 elif case1=="array":
77 case="array"
78 elif case1=="constData":
79 case="constData"
80 elif case1=="taggedData":
81 case="taggedData"
82 elif case1=="expandedData":
83 case="expandedData"
84 elif case1=="Symbol":
85 case="Symbol"
86 else:
87 raise ValueError,"unknown case1=%s"%case1
88 elif case0=="constData":
89 if case1=="float":
90 case="constData"
91 elif case1=="array":
92 case="constData"
93 elif case1=="constData":
94 case="constData"
95 elif case1=="taggedData":
96 case="taggedData"
97 elif case1=="expandedData":
98 case="expandedData"
99 elif case1=="Symbol":
100 case="Symbol"
101 else:
102 raise ValueError,"unknown case1=%s"%case1
103 elif case0=="taggedData":
104 if case1=="float":
105 case="taggedData"
106 elif case1=="array":
107 case="taggedData"
108 elif case1=="constData":
109 case="taggedData"
110 elif case1=="taggedData":
111 case="taggedData"
112 elif case1=="expandedData":
113 case="expandedData"
114 elif case1=="Symbol":
115 case="Symbol"
116 else:
117 raise ValueError,"unknown case1=%s"%case1
118 elif case0=="expandedData":
119 if case1=="float":
120 case="expandedData"
121 elif case1=="array":
122 case="expandedData"
123 elif case1=="constData":
124 case="expandedData"
125 elif case1=="taggedData":
126 case="expandedData"
127 elif case1=="expandedData":
128 case="expandedData"
129 elif case1=="Symbol":
130 case="Symbol"
131 else:
132 raise ValueError,"unknown case1=%s"%case1
133 elif case0=="Symbol":
134 if case1=="float":
135 case="Symbol"
136 elif case1=="array":
137 case="Symbol"
138 elif case1=="constData":
139 case="Symbol"
140 elif case1=="taggedData":
141 case="Symbol"
142 elif case1=="expandedData":
143 case="Symbol"
144 elif case1=="Symbol":
145 case="Symbol"
146 else:
147 raise ValueError,"unknown case1=%s"%case1
148 else:
149 raise ValueError,"unknown case0=%s"%case0
150 return case
151
152
153 def makeArray(shape,rng):
154 l=rng[1]-rng[0]
155 out=numarray.zeros(shape,numarray.Float64)
156 if len(shape)==0:
157 out=l*random.random()+rng[0]
158 elif len(shape)==1:
159 for i0 in range(shape[0]):
160 out[i0]=l*random.random()+rng[0]
161 elif len(shape)==2:
162 for i0 in range(shape[0]):
163 for i1 in range(shape[1]):
164 out[i0,i1]=l*random.random()+rng[0]
165 elif len(shape)==3:
166 for i0 in range(shape[0]):
167 for i1 in range(shape[1]):
168 for i2 in range(shape[2]):
169 out[i0,i1,i2]=l*random.random()+rng[0]
170 elif len(shape)==4:
171 for i0 in range(shape[0]):
172 for i1 in range(shape[1]):
173 for i2 in range(shape[2]):
174 for i3 in range(shape[3]):
175 out[i0,i1,i2,i3]=l*random.random()+rng[0]
176 else:
177 raise SystemError,"rank is restricted to 4"
178 return out
179
180
181 def makeResult(val,test_expr):
182 if isinstance(val,float):
183 out=eval(test_expr.replace("%a1%","val"))
184 elif len(val.shape)==0:
185 out=eval(test_expr.replace("%a1%","val"))
186 elif len(val.shape)==1:
187 out=numarray.zeros(val.shape,numarray.Float64)
188 for i0 in range(val.shape[0]):
189 out[i0]=eval(test_expr.replace("%a1%","val[i0]"))
190 elif len(val.shape)==2:
191 out=numarray.zeros(val.shape,numarray.Float64)
192 for i0 in range(val.shape[0]):
193 for i1 in range(val.shape[1]):
194 out[i0,i1]=eval(test_expr.replace("%a1%","val[i0,i1]"))
195 elif len(val.shape)==3:
196 out=numarray.zeros(val.shape,numarray.Float64)
197 for i0 in range(val.shape[0]):
198 for i1 in range(val.shape[1]):
199 for i2 in range(val.shape[2]):
200 out[i0,i1,i2]=eval(test_expr.replace("%a1%","val[i0,i1,i2]"))
201 elif len(val.shape)==4:
202 out=numarray.zeros(val.shape,numarray.Float64)
203 for i0 in range(val.shape[0]):
204 for i1 in range(val.shape[1]):
205 for i2 in range(val.shape[2]):
206 for i3 in range(val.shape[3]):
207 out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val[i0,i1,i2,i3]"))
208 else:
209 raise SystemError,"rank is restricted to 4"
210 return out
211
212 def makeResult2(val0,val1,test_expr):
213 if isinstance(val0,float):
214 if isinstance(val1,float):
215 out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1"))
216 elif len(val1.shape)==0:
217 out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1"))
218 elif len(val1.shape)==1:
219 out=numarray.zeros(val1.shape,numarray.Float64)
220 for i0 in range(val1.shape[0]):
221 out[i0]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0]"))
222 elif len(val1.shape)==2:
223 out=numarray.zeros(val1.shape,numarray.Float64)
224 for i0 in range(val1.shape[0]):
225 for i1 in range(val1.shape[1]):
226 out[i0,i1]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1]"))
227 elif len(val1.shape)==3:
228 out=numarray.zeros(val1.shape,numarray.Float64)
229 for i0 in range(val1.shape[0]):
230 for i1 in range(val1.shape[1]):
231 for i2 in range(val1.shape[2]):
232 out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2]"))
233 elif len(val1.shape)==4:
234 out=numarray.zeros(val1.shape,numarray.Float64)
235 for i0 in range(val1.shape[0]):
236 for i1 in range(val1.shape[1]):
237 for i2 in range(val1.shape[2]):
238 for i3 in range(val1.shape[3]):
239 out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2,i3]"))
240 else:
241 raise SystemError,"rank of val1 is restricted to 4"
242 elif len(val0.shape)==0:
243 if isinstance(val1,float):
244 out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1"))
245 elif len(val1.shape)==0:
246 out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1"))
247 elif len(val1.shape)==1:
248 out=numarray.zeros(val1.shape,numarray.Float64)
249 for i0 in range(val1.shape[0]):
250 out[i0]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0]"))
251 elif len(val1.shape)==2:
252 out=numarray.zeros(val1.shape,numarray.Float64)
253 for i0 in range(val1.shape[0]):
254 for i1 in range(val1.shape[1]):
255 out[i0,i1]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1]"))
256 elif len(val1.shape)==3:
257 out=numarray.zeros(val1.shape,numarray.Float64)
258 for i0 in range(val1.shape[0]):
259 for i1 in range(val1.shape[1]):
260 for i2 in range(val1.shape[2]):
261 out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2]"))
262 elif len(val1.shape)==4:
263 out=numarray.zeros(val1.shape,numarray.Float64)
264 for i0 in range(val1.shape[0]):
265 for i1 in range(val1.shape[1]):
266 for i2 in range(val1.shape[2]):
267 for i3 in range(val1.shape[3]):
268 out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2,i3]"))
269 else:
270 raise SystemError,"rank of val1 is restricted to 4"
271 elif len(val0.shape)==1:
272 if isinstance(val1,float):
273 out=numarray.zeros(val0.shape,numarray.Float64)
274 for i0 in range(val0.shape[0]):
275 out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1"))
276 elif len(val1.shape)==0:
277 out=numarray.zeros(val0.shape,numarray.Float64)
278 for i0 in range(val0.shape[0]):
279 out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1"))
280 elif len(val1.shape)==1:
281 out=numarray.zeros(val0.shape,numarray.Float64)
282 for i0 in range(val0.shape[0]):
283 out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0]"))
284 elif len(val1.shape)==2:
285 out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64)
286 for i0 in range(val0.shape[0]):
287 for j1 in range(val1.shape[1]):
288 out[i0,j1]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1]"))
289 elif len(val1.shape)==3:
290 out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64)
291 for i0 in range(val0.shape[0]):
292 for j1 in range(val1.shape[1]):
293 for j2 in range(val1.shape[2]):
294 out[i0,j1,j2]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1,j2]"))
295 elif len(val1.shape)==4:
296 out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64)
297 for i0 in range(val0.shape[0]):
298 for j1 in range(val1.shape[1]):
299 for j2 in range(val1.shape[2]):
300 for j3 in range(val1.shape[3]):
301 out[i0,j1,j2,j3]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1,j2,j3]"))
302 else:
303 raise SystemError,"rank of val1 is restricted to 4"
304 elif len(val0.shape)==2:
305 if isinstance(val1,float):
306 out=numarray.zeros(val0.shape,numarray.Float64)
307 for i0 in range(val0.shape[0]):
308 for i1 in range(val0.shape[1]):
309 out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1"))
310 elif len(val1.shape)==0:
311 out=numarray.zeros(val0.shape,numarray.Float64)
312 for i0 in range(val0.shape[0]):
313 for i1 in range(val0.shape[1]):
314 out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1"))
315 elif len(val1.shape)==1:
316 out=numarray.zeros(val0.shape,numarray.Float64)
317 for i0 in range(val0.shape[0]):
318 for i1 in range(val0.shape[1]):
319 out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0]"))
320 elif len(val1.shape)==2:
321 out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64)
322 for i0 in range(val0.shape[0]):
323 for i1 in range(val0.shape[1]):
324 out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1]"))
325 elif len(val1.shape)==3:
326 out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64)
327 for i0 in range(val0.shape[0]):
328 for i1 in range(val0.shape[1]):
329 for j2 in range(val1.shape[2]):
330 out[i0,i1,j2]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1,j2]"))
331 elif len(val1.shape)==4:
332 out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64)
333 for i0 in range(val0.shape[0]):
334 for i1 in range(val0.shape[1]):
335 for j2 in range(val1.shape[2]):
336 for j3 in range(val1.shape[3]):
337 out[i0,i1,j2,j3]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1,j2,j3]"))
338 else:
339 raise SystemError,"rank of val1 is restricted to 4"
340 elif len(val0.shape)==3:
341 if isinstance(val1,float):
342 out=numarray.zeros(val0.shape,numarray.Float64)
343 for i0 in range(val0.shape[0]):
344 for i1 in range(val0.shape[1]):
345 for i2 in range(val0.shape[2]):
346 out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1"))
347 elif len(val1.shape)==0:
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 for i2 in range(val0.shape[2]):
352 out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1"))
353 elif len(val1.shape)==1:
354 out=numarray.zeros(val0.shape,numarray.Float64)
355 for i0 in range(val0.shape[0]):
356 for i1 in range(val0.shape[1]):
357 for i2 in range(val0.shape[2]):
358 out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0]"))
359 elif len(val1.shape)==2:
360 out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64)
361 for i0 in range(val0.shape[0]):
362 for i1 in range(val0.shape[1]):
363 for i2 in range(val0.shape[2]):
364 out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1]"))
365 elif len(val1.shape)==3:
366 out=numarray.zeros(val0.shape,numarray.Float64)
367 for i0 in range(val0.shape[0]):
368 for i1 in range(val0.shape[1]):
369 for i2 in range(val0.shape[2]):
370 out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1,i2]"))
371 elif len(val1.shape)==4:
372 out=numarray.zeros(val0.shape+val1.shape[3:],numarray.Float64)
373 for i0 in range(val0.shape[0]):
374 for i1 in range(val0.shape[1]):
375 for i2 in range(val0.shape[2]):
376 for j3 in range(val1.shape[3]):
377 out[i0,i1,i2,j3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1,i2,j3]"))
378 else:
379 raise SystemError,"rank of val1 is rargs[1]estricted to 4"
380 elif len(val0.shape)==4:
381 if isinstance(val1,float):
382 out=numarray.zeros(val0.shape,numarray.Float64)
383 for i0 in range(val0.shape[0]):
384 for i1 in range(val0.shape[1]):
385 for i2 in range(val0.shape[2]):
386 for i3 in range(val0.shape[3]):
387 out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1"))
388 elif len(val1.shape)==0:
389 out=numarray.zeros(val0.shape,numarray.Float64)
390 for i0 in range(val0.shape[0]):
391 for i1 in range(val0.shape[1]):
392 for i2 in range(val0.shape[2]):
393 for i3 in range(val0.shape[3]):
394 out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1"))
395 elif len(val1.shape)==1:
396 out=numarray.zeros(val0.shape,numarray.Float64)
397 for i0 in range(val0.shape[0]):
398 for i1 in range(val0.shape[1]):
399 for i2 in range(val0.shape[2]):
400 for i3 in range(val0.shape[3]):
401 out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0]"))
402 elif len(val1.shape)==2:
403 out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64)
404 for i0 in range(val0.shape[0]):
405 for i1 in range(val0.shape[1]):
406 for i2 in range(val0.shape[2]):
407 for i3 in range(val0.shape[3]):
408 out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1]"))
409 elif len(val1.shape)==3:
410 out=numarray.zeros(val0.shape,numarray.Float64)
411 for i0 in range(val0.shape[0]):
412 for i1 in range(val0.shape[1]):
413 for i2 in range(val0.shape[2]):
414 for i3 in range(val0.shape[3]):
415 out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1,i2]"))
416 elif len(val1.shape)==4:
417 out=numarray.zeros(val0.shape,numarray.Float64)
418 for i0 in range(val0.shape[0]):
419 for i1 in range(val0.shape[1]):
420 for i2 in range(val0.shape[2]):
421 for i3 in range(val0.shape[3]):
422 out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1,i2,i3]"))
423 else:
424 raise SystemError,"rank of val1 is restricted to 4"
425 else:
426 raise SystemError,"rank is restricted to 4"
427 return out
428
429
430 def mkText(case,name,a,a1=None,use_tagging_for_expanded_data=False):
431 t_out=""
432 if case=="float":
433 if isinstance(a,float):
434 t_out+=" %s=%s\n"%(name,a)
435 elif a.rank==0:
436 t_out+=" %s=%s\n"%(name,a)
437 else:
438 t_out+=" %s=numarray.array(%s)\n"%(name,a.tolist())
439 elif case=="array":
440 if isinstance(a,float):
441 t_out+=" %s=numarray.array(%s)\n"%(name,a)
442 elif a.rank==0:
443 t_out+=" %s=numarray.array(%s)\n"%(name,a)
444 else:
445 t_out+=" %s=numarray.array(%s)\n"%(name,a.tolist())
446 elif case=="constData":
447 if isinstance(a,float):
448 t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a)
449 elif a.rank==0:
450 t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a)
451 else:
452 t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist())
453 elif case=="taggedData":
454 if isinstance(a,float):
455 t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a)
456 t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1)
457 elif a.rank==0:
458 t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a)
459 t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1)
460 else:
461 t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist())
462 t_out+=" %s.setTaggedValue(1,numarray.array(%s))\n"%(name,a1.tolist())
463 elif case=="expandedData":
464 if use_tagging_for_expanded_data:
465 if isinstance(a,float):
466 t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a)
467 t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1)
468 elif a.rank==0:
469 t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a)
470 t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1)
471 else:
472 t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist())
473 t_out+=" %s.setTaggedValue(1,numarray.array(%s))\n"%(name,a1.tolist())
474 t_out+=" %s.expand()\n"%name
475 else:
476 t_out+=" msk_%s=whereNegative(self.functionspace.getX()[0]-0.5)\n"%name
477 if isinstance(a,float):
478 t_out+=" %s=msk_%s*(%s)+(1.-msk_%s)*(%s)\n"%(name,name,a,name,a1)
479 elif a.rank==0:
480 t_out+=" %s=msk_%s*numarray.array(%s)+(1.-msk_%s)*numarray.array(%s)\n"%(name,name,a,name,a1)
481 else:
482 t_out+=" %s=msk_%s*numarray.array(%s)+(1.-msk_%s)*numarray.array(%s)\n"%(name,name,a.tolist(),name,a1.tolist())
483 elif case=="Symbol":
484 if isinstance(a,float):
485 t_out+=" %s=Symbol(shape=())\n"%(name)
486 elif a.rank==0:
487 t_out+=" %s=Symbol(shape=())\n"%(name)
488 else:
489 t_out+=" %s=Symbol(shape=%s)\n"%(name,str(a.shape))
490
491 return t_out
492
493 def mkTypeAndShapeTest(case,sh,argstr):
494 text=""
495 if case=="float":
496 text+=" self.failUnless(isinstance(%s,float),\"wrong type of result.\")\n"%argstr
497 elif case=="array":
498 text+=" self.failUnless(isinstance(%s,numarray.NumArray),\"wrong type of result.\")\n"%argstr
499 text+=" self.failUnlessEqual(%s.shape,%s,\"wrong shape of result.\")\n"%(argstr,str(sh))
500 elif case in ["constData","taggedData","expandedData"]:
501 text+=" self.failUnless(isinstance(%s,Data),\"wrong type of result.\")\n"%argstr
502 text+=" self.failUnlessEqual(%s.getShape(),%s,\"wrong shape of result.\")\n"%(argstr,str(sh))
503 elif case=="Symbol":
504 text+=" self.failUnless(isinstance(%s,Symbol),\"wrong type of result.\")\n"%argstr
505 text+=" self.failUnlessEqual(%s.getShape(),%s,\"wrong shape of result.\")\n"%(argstr,str(sh))
506 return text
507
508 def mkCode(txt,args=[],intend=""):
509 s=txt.split("\n")
510 if len(s)>1:
511 out=""
512 for l in s:
513 out+=intend+l+"\n"
514 else:
515 out="%sreturn %s\n"%(intend,txt)
516 c=1
517 for r in args:
518 out=out.replace("%%a%s%%"%c,r)
519 return out
520
521 def innerTEST(arg0,arg1):
522 if isinstance(arg0,float):
523 out=numarray.array(arg0*arg1)
524 else:
525 out=(arg0*arg1).sum()
526 return out
527
528 def outerTEST(arg0,arg1):
529 if isinstance(arg0,float):
530 out=numarray.array(arg0*arg1)
531 elif isinstance(arg1,float):
532 out=numarray.array(arg0*arg1)
533 else:
534 out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape)
535 return out
536
537 def tensorProductTest(arg0,arg1,sh_s):
538 if isinstance(arg0,float):
539 out=numarray.array(arg0*arg1)
540 elif isinstance(arg1,float):
541 out=numarray.array(arg0*arg1)
542 elif len(sh_s)==0:
543 out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape)
544 else:
545 l=len(sh_s)
546 sh0=arg0.shape[:arg0.rank-l]
547 sh1=arg1.shape[l:]
548 ls,l0,l1=1,1,1
549 for i in sh_s: ls*=i
550 for i in sh0: l0*=i
551 for i in sh1: l1*=i
552 out1=numarray.outerproduct(arg0,arg1).resize((l0,ls,ls,l1))
553 out2=numarray.zeros((l0,l1),numarray.Float)
554 for i0 in range(l0):
555 for i1 in range(l1):
556 for i in range(ls): out2[i0,i1]+=out1[i0,i,i,i1]
557 out=out2.resize(sh0+sh1)
558 return out
559
560 def testMatrixMult(arg0,arg1,sh_s):
561 return numarray.matrixmultiply(arg0,arg1)
562
563
564 def testTensorMult(arg0,arg1,sh_s):
565 if len(arg0)==2:
566 return numarray.matrixmultiply(arg0,arg1)
567 else:
568 if arg1.rank==4:
569 out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[2],arg1.shape[3]),numarray.Float)
570 for i0 in range(arg0.shape[0]):
571 for i1 in range(arg0.shape[1]):
572 for i2 in range(arg0.shape[2]):
573 for i3 in range(arg0.shape[3]):
574 for j2 in range(arg1.shape[2]):
575 for j3 in range(arg1.shape[3]):
576 out[i0,i1,j2,j3]+=arg0[i0,i1,i2,i3]*arg1[i2,i3,j2,j3]
577 elif arg1.rank==3:
578 out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[2]),numarray.Float)
579 for i0 in range(arg0.shape[0]):
580 for i1 in range(arg0.shape[1]):
581 for i2 in range(arg0.shape[2]):
582 for i3 in range(arg0.shape[3]):
583 for j2 in range(arg1.shape[2]):
584 out[i0,i1,j2]+=arg0[i0,i1,i2,i3]*arg1[i2,i3,j2]
585 elif arg1.rank==2:
586 out=numarray.zeros((arg0.shape[0],arg0.shape[1]),numarray.Float)
587 for i0 in range(arg0.shape[0]):
588 for i1 in range(arg0.shape[1]):
589 for i2 in range(arg0.shape[2]):
590 for i3 in range(arg0.shape[3]):
591 out[i0,i1]+=arg0[i0,i1,i2,i3]*arg1[i2,i3]
592 return out
593
594 def testReduce(arg0,init_val,test_expr,post_expr):
595 out=init_val
596 if isinstance(arg0,float):
597 out=eval(test_expr.replace("%a1%","arg0"))
598 elif arg0.rank==0:
599 out=eval(test_expr.replace("%a1%","arg0"))
600 elif arg0.rank==1:
601 for i0 in range(arg0.shape[0]):
602 out=eval(test_expr.replace("%a1%","arg0[i0]"))
603 elif arg0.rank==2:
604 for i0 in range(arg0.shape[0]):
605 for i1 in range(arg0.shape[1]):
606 out=eval(test_expr.replace("%a1%","arg0[i0,i1]"))
607 elif arg0.rank==3:
608 for i0 in range(arg0.shape[0]):
609 for i1 in range(arg0.shape[1]):
610 for i2 in range(arg0.shape[2]):
611 out=eval(test_expr.replace("%a1%","arg0[i0,i1,i2]"))
612 elif arg0.rank==4:
613 for i0 in range(arg0.shape[0]):
614 for i1 in range(arg0.shape[1]):
615 for i2 in range(arg0.shape[2]):
616 for i3 in range(arg0.shape[3]):
617 out=eval(test_expr.replace("%a1%","arg0[i0,i1,i2,i3]"))
618 return eval(post_expr)
619
620 def clipTEST(arg0,mn,mx):
621 if isinstance(arg0,float):
622 return max(min(arg0,mx),mn)
623 out=numarray.zeros(arg0.shape,numarray.Float64)
624 if arg0.rank==1:
625 for i0 in range(arg0.shape[0]):
626 out[i0]=max(min(arg0[i0],mx),mn)
627 elif arg0.rank==2:
628 for i0 in range(arg0.shape[0]):
629 for i1 in range(arg0.shape[1]):
630 out[i0,i1]=max(min(arg0[i0,i1],mx),mn)
631 elif arg0.rank==3:
632 for i0 in range(arg0.shape[0]):
633 for i1 in range(arg0.shape[1]):
634 for i2 in range(arg0.shape[2]):
635 out[i0,i1,i2]=max(min(arg0[i0,i1,i2],mx),mn)
636 elif arg0.rank==4:
637 for i0 in range(arg0.shape[0]):
638 for i1 in range(arg0.shape[1]):
639 for i2 in range(arg0.shape[2]):
640 for i3 in range(arg0.shape[3]):
641 out[i0,i1,i2,i3]=max(min(arg0[i0,i1,i2,i3],mx),mn)
642 return out
643 def minimumTEST(arg0,arg1):
644 if isinstance(arg0,float):
645 if isinstance(arg1,float):
646 if arg0>arg1:
647 return arg1
648 else:
649 return arg0
650 else:
651 arg0=numarray.ones(arg1.shape)*arg0
652 else:
653 if isinstance(arg1,float):
654 arg1=numarray.ones(arg0.shape)*arg1
655 out=numarray.zeros(arg0.shape,numarray.Float64)
656 if arg0.rank==0:
657 if arg0>arg1:
658 out=arg1
659 else:
660 out=arg0
661 elif arg0.rank==1:
662 for i0 in range(arg0.shape[0]):
663 if arg0[i0]>arg1[i0]:
664 out[i0]=arg1[i0]
665 else:
666 out[i0]=arg0[i0]
667 elif arg0.rank==2:
668 for i0 in range(arg0.shape[0]):
669 for i1 in range(arg0.shape[1]):
670 if arg0[i0,i1]>arg1[i0,i1]:
671 out[i0,i1]=arg1[i0,i1]
672 else:
673 out[i0,i1]=arg0[i0,i1]
674 elif arg0.rank==3:
675 for i0 in range(arg0.shape[0]):
676 for i1 in range(arg0.shape[1]):
677 for i2 in range(arg0.shape[2]):
678 if arg0[i0,i1,i2]>arg1[i0,i1,i2]:
679 out[i0,i1,i2]=arg1[i0,i1,i2]
680 else:
681 out[i0,i1,i2]=arg0[i0,i1,i2]
682 elif arg0.rank==4:
683 for i0 in range(arg0.shape[0]):
684 for i1 in range(arg0.shape[1]):
685 for i2 in range(arg0.shape[2]):
686 for i3 in range(arg0.shape[3]):
687 if arg0[i0,i1,i2,i3]>arg1[i0,i1,i2,i3]:
688 out[i0,i1,i2,i3]=arg1[i0,i1,i2,i3]
689 else:
690 out[i0,i1,i2,i3]=arg0[i0,i1,i2,i3]
691 return out
692 #=======================================================================================================
693 # trace
694 #=======================================================================================================
695 def traceTest(r,offset):
696 sh=r.shape
697 r1=1
698 for i in range(offset): r1*=sh[i]
699 r2=1
700 for i in range(offset+2,len(sh)): r2*=sh[i]
701 r_s=numarray.reshape(r,(r1,sh[offset],sh[offset],r2))
702 s=numarray.zeros([r1,r2],numarray.Float)
703 for i1 in range(r1):
704 for i2 in range(r2):
705 for j in range(sh[offset]): s[i1,i2]+=r_s[i1,j,j,i2]
706 return s.resize(sh[:offset]+sh[offset+2:])
707 name,tt="trace",traceTest
708 for case0 in ["array","Symbol","constData","taggedData","expandedData"]:
709 for sh0 in [ (4,5), (6,2,2),(3,2,3,4)]:
710 for offset in range(len(sh0)-1):
711 text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n"
712 tname="test_%s_%s_rank%s_offset%s"%(name,case0,len(sh0),offset)
713 text+=" def %s(self):\n"%tname
714 sh_t=list(sh0)
715 sh_t[offset+1]=sh_t[offset]
716 sh_t=tuple(sh_t)
717 sh_r=[]
718 for i in range(offset): sh_r.append(sh0[i])
719 for i in range(offset+2,len(sh0)): sh_r.append(sh0[i])
720 sh_r=tuple(sh_r)
721 a_0=makeArray(sh_t,[-1.,1])
722 if case0 in ["taggedData", "expandedData"]:
723 a1_0=makeArray(sh_t,[-1.,1])
724 else:
725 a1_0=a_0
726 r=tt(a_0,offset)
727 r1=tt(a1_0,offset)
728 text+=mkText(case0,"arg",a_0,a1_0)
729 text+=" res=%s(arg,%s)\n"%(name,offset)
730 if case0=="Symbol":
731 text+=mkText("array","s",a_0,a1_0)
732 text+=" sub=res.substitute({arg:s})\n"
733 res="sub"
734 text+=mkText("array","ref",r,r1)
735 else:
736 res="res"
737 text+=mkText(case0,"ref",r,r1)
738 text+=mkTypeAndShapeTest(case0,sh_r,"res")
739 text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res
740
741 if case0 == "taggedData" :
742 t_prog_with_tags+=text
743 else:
744 t_prog+=text
745
746 print test_header
747 # print t_prog
748 print t_prog_with_tags
749 print test_tail
750 1/0
751
752 #=======================================================================================================
753 # clip
754 #=======================================================================================================
755 oper_L=[["clip",clipTEST]]
756 for oper in oper_L:
757 for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]:
758 for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]:
759 if len(sh0)==0 or not case0=="float":
760 text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n"
761 tname="test_%s_%s_rank%s"%(oper[0],case0,len(sh0))
762 text+=" def %s(self):\n"%tname
763 a_0=makeArray(sh0,[-1.,1])
764 if case0 in ["taggedData", "expandedData"]:
765 a1_0=makeArray(sh0,[-1.,1])
766 else:
767 a1_0=a_0
768
769 r=oper[1](a_0,-0.3,0.5)
770 r1=oper[1](a1_0,-0.3,0.5)
771 text+=mkText(case0,"arg",a_0,a1_0)
772 text+=" res=%s(arg,-0.3,0.5)\n"%oper[0]
773 if case0=="Symbol":
774 text+=mkText("array","s",a_0,a1_0)
775 text+=" sub=res.substitute({arg:s})\n"
776 res="sub"
777 text+=mkText("array","ref",r,r1)
778 else:
779 res="res"
780 text+=mkText(case0,"ref",r,r1)
781 text+=mkTypeAndShapeTest(case0,sh0,"res")
782 text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res
783
784 if case0 == "taggedData" :
785 t_prog_with_tags+=text
786 else:
787 t_prog+=text
788
789 print test_header
790 # print t_prog
791 print t_prog_with_tags
792 print test_tail
793 1/0
794
795 #=======================================================================================================
796 # maximum, minimum, clipping
797 #=======================================================================================================
798 oper_L=[ ["maximum",maximumTEST],
799 ["minimum",minimumTEST]]
800 for oper in oper_L:
801 for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]:
802 for sh1 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]:
803 for case1 in ["float","array","Symbol","constData","taggedData","expandedData"]:
804 for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]:
805 if (len(sh0)==0 or not case0=="float") and (len(sh1)==0 or not case1=="float") \
806 and (sh0==sh1 or len(sh0)==0 or len(sh1)==0) :
807 use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData"
808
809 text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n"
810 tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1))
811 text+=" def %s(self):\n"%tname
812 a_0=makeArray(sh0,[-1.,1])
813 if case0 in ["taggedData", "expandedData"]:
814 a1_0=makeArray(sh0,[-1.,1])
815 else:
816 a1_0=a_0
817
818 a_1=makeArray(sh1,[-1.,1])
819 if case1 in ["taggedData", "expandedData"]:
820 a1_1=makeArray(sh1,[-1.,1])
821 else:
822 a1_1=a_1
823 r=oper[1](a_0,a_1)
824 r1=oper[1](a1_0,a1_1)
825 text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data)
826 text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data)
827 text+=" res=%s(arg0,arg1)\n"%oper[0]
828 case=getResultCaseForBin(case0,case1)
829 if case=="Symbol":
830 c0_res,c1_res=case0,case1
831 subs="{"
832 if case0=="Symbol":
833 text+=mkText("array","s0",a_0,a1_0)
834 subs+="arg0:s0"
835 c0_res="array"
836 if case1=="Symbol":
837 text+=mkText("array","s1",a_1,a1_1)
838 if not subs.endswith("{"): subs+=","
839 subs+="arg1:s1"
840 c1_res="array"
841 subs+="}"
842 text+=" sub=res.substitute(%s)\n"%subs
843 res="sub"
844 text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1)
845 else:
846 res="res"
847 text+=mkText(case,"ref",r,r1)
848 if len(sh0)>len(sh1):
849 text+=mkTypeAndShapeTest(case,sh0,"res")
850 else:
851 text+=mkTypeAndShapeTest(case,sh1,"res")
852 text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res
853
854 if case0 == "taggedData" or case1 == "taggedData":
855 t_prog_with_tags+=text
856 else:
857 t_prog+=text
858
859 print test_header
860 # print t_prog
861 print t_prog_with_tags
862 print test_tail
863 1/0
864
865
866 #=======================================================================================================
867 # outer inner
868 #=======================================================================================================
869 oper=["outer",outerTEST]
870 # oper=["inner",innerTEST]
871 for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]:
872 for sh1 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]:
873 for case1 in ["float","array","Symbol","constData","taggedData","expandedData"]:
874 for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]:
875 if (len(sh0)==0 or not case0=="float") and (len(sh1)==0 or not case1=="float") \
876 and len(sh0+sh1)<5:
877 use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData"
878
879 text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n"
880 tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1))
881 text+=" def %s(self):\n"%tname
882 a_0=makeArray(sh0,[-1.,1])
883 if case0 in ["taggedData", "expandedData"]:
884 a1_0=makeArray(sh0,[-1.,1])
885 else:
886 a1_0=a_0
887
888 a_1=makeArray(sh1,[-1.,1])
889 if case1 in ["taggedData", "expandedData"]:
890 a1_1=makeArray(sh1,[-1.,1])
891 else:
892 a1_1=a_1
893 r=oper[1](a_0,a_1)
894 r1=oper[1](a1_0,a1_1)
895 text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data)
896 text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data)
897 text+=" res=%s(arg0,arg1)\n"%oper[0]
898 case=getResultCaseForBin(case0,case1)
899 if case=="Symbol":
900 c0_res,c1_res=case0,case1
901 subs="{"
902 if case0=="Symbol":
903 text+=mkText("array","s0",a_0,a1_0)
904 subs+="arg0:s0"
905 c0_res="array"
906 if case1=="Symbol":
907 text+=mkText("array","s1",a_1,a1_1)
908 if not subs.endswith("{"): subs+=","
909 subs+="arg1:s1"
910 c1_res="array"
911 subs+="}"
912 text+=" sub=res.substitute(%s)\n"%subs
913 res="sub"
914 text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1)
915 else:
916 res="res"
917 text+=mkText(case,"ref",r,r1)
918 text+=mkTypeAndShapeTest(case,sh0+sh1,"res")
919 text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res
920
921 if case0 == "taggedData" or case1 == "taggedData":
922 t_prog_with_tags+=text
923 else:
924 t_prog+=text
925
926 print test_header
927 # print t_prog
928 print t_prog_with_tags
929 print test_tail
930 1/0
931
932 #=======================================================================================================
933 # local reduction
934 #=======================================================================================================
935 for oper in [["length",0.,"out+%a1%**2","math.sqrt(out)"],
936 ["maxval",-1.e99,"max(out,%a1%)","out"],
937 ["minval",1.e99,"min(out,%a1%)","out"] ]:
938 for case in case_set:
939 for sh in shape_set:
940 if not case=="float" or len(sh)==0:
941 text=""
942 text+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n"
943 tname="def test_%s_%s_rank%s"%(oper[0],case,len(sh))
944 text+=" %s(self):\n"%tname
945 a=makeArray(sh,[-1.,1.])
946 a1=makeArray(sh,[-1.,1.])
947 r1=testReduce(a1,oper[1],oper[2],oper[3])
948 r=testReduce(a,oper[1],oper[2],oper[3])
949
950 text+=mkText(case,"arg",a,a1)
951 text+=" res=%s(arg)\n"%oper[0]
952 if case=="Symbol":
953 text+=mkText("array","s",a,a1)
954 text+=" sub=res.substitute({arg:s})\n"
955 text+=mkText("array","ref",r,r1)
956 res="sub"
957 else:
958 text+=mkText(case,"ref",r,r1)
959 res="res"
960 if oper[0]=="length":
961 text+=mkTypeAndShapeTest(case,(),"res")
962 else:
963 if case=="float" or case=="array":
964 text+=mkTypeAndShapeTest("float",(),"res")
965 else:
966 text+=mkTypeAndShapeTest(case,(),"res")
967 text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res
968 if case == "taggedData":
969 t_prog_with_tags+=text
970 else:
971 t_prog+=text
972 print test_header
973 # print t_prog
974 print t_prog_with_tags
975 print test_tail
976 1/0
977
978 #=======================================================================================================
979 # tensor multiply
980 #=======================================================================================================
981 # oper=["generalTensorProduct",tensorProductTest]
982 # oper=["matrixmult",testMatrixMult]
983 oper=["tensormult",testTensorMult]
984
985 for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]:
986 for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]:
987 for case1 in ["float","array","Symbol","constData","taggedData","expandedData"]:
988 for sh1 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]:
989 for sh_s in [ (),(3,), (2,3), (2,4,3),(4,2,3,2)]:
990 if (len(sh0+sh_s)==0 or not case0=="float") and (len(sh1+sh_s)==0 or not case1=="float") \
991 and len(sh0+sh1)<5 and len(sh0+sh_s)<5 and len(sh1+sh_s)<5:
992 # if len(sh_s)==1 and len(sh0+sh_s)==2 and (len(sh_s+sh1)==1 or len(sh_s+sh1)==2)): # test for matrixmult
993 if ( len(sh_s)==1 and len(sh0+sh_s)==2 and ( len(sh1+sh_s)==2 or len(sh1+sh_s)==1 )) or (len(sh_s)==2 and len(sh0+sh_s)==4 and (len(sh1+sh_s)==2 or len(sh1+sh_s)==3 or len(sh1+sh_s)==4)): # test for tensormult
994 case=getResultCaseForBin(case0,case1)
995 use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData"
996 text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n"
997 # tname="test_generalTensorProduct_%s_rank%s_%s_rank%s_offset%s"%(case0,len(sh0+sh_s),case1,len(sh_s+sh1),len(sh_s))
998 #tname="test_matrixmult_%s_rank%s_%s_rank%s"%(case0,len(sh0+sh_s),case1,len(sh_s+sh1))
999 tname="test_tensormult_%s_rank%s_%s_rank%s"%(case0,len(sh0+sh_s),case1,len(sh_s+sh1))
1000 # if tname=="test_generalTensorProduct_array_rank1_array_rank2_offset1":
1001 # print tnametest_generalTensorProduct_Symbol_rank1_Symbol_rank3_offset1
1002 text+=" def %s(self):\n"%tname
1003 a_0=makeArray(sh0+sh_s,[-1.,1])
1004 if case0 in ["taggedData", "expandedData"]:
1005 a1_0=makeArray(sh0+sh_s,[-1.,1])
1006 else:
1007 a1_0=a_0
1008
1009 a_1=makeArray(sh_s+sh1,[-1.,1])
1010 if case1 in ["taggedData", "expandedData"]:
1011 a1_1=makeArray(sh_s+sh1,[-1.,1])
1012 else:
1013 a1_1=a_1
1014 r=oper[1](a_0,a_1,sh_s)
1015 r1=oper[1](a1_0,a1_1,sh_s)
1016 text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data)
1017 text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data)
1018 #text+=" res=matrixmult(arg0,arg1)\n"
1019 text+=" res=tensormult(arg0,arg1)\n"
1020 #text+=" res=generalTensorProduct(arg0,arg1,offset=%s)\n"%(len(sh_s))
1021 if case=="Symbol":
1022 c0_res,c1_res=case0,case1
1023 subs="{"
1024 if case0=="Symbol":
1025 text+=mkText("array","s0",a_0,a1_0)
1026 subs+="arg0:s0"
1027 c0_res="array"
1028 if case1=="Symbol":
1029 text+=mkText("array","s1",a_1,a1_1)
1030 if not subs.endswith("{"): subs+=","
1031 subs+="arg1:s1"
1032 c1_res="array"
1033 subs+="}"
1034 text+=" sub=res.substitute(%s)\n"%subs
1035 res="sub"
1036 text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1)
1037 else:
1038 res="res"
1039 text+=mkText(case,"ref",r,r1)
1040 text+=mkTypeAndShapeTest(case,sh0+sh1,"res")
1041 text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res
1042 if case0 == "taggedData" or case1 == "taggedData":
1043 t_prog_with_tags+=text
1044 else:
1045 t_prog+=text
1046 print test_header
1047 # print t_prog
1048 print t_prog_with_tags
1049 print test_tail
1050 1/0
1051 #=======================================================================================================
1052 # basic binary operation overloading (tests only!)
1053 #=======================================================================================================
1054 oper_range=[-5.,5.]
1055 for oper in [["add" ,"+",[-5.,5.]],
1056 ["sub" ,"-",[-5.,5.]],
1057 ["mult","*",[-5.,5.]],
1058 ["div" ,"/",[-5.,5.]],
1059 ["pow" ,"**",[0.01,5.]]]:
1060 for case0 in case_set:
1061 for sh0 in shape_set:
1062 for case1 in case_set:
1063 for sh1 in shape_set:
1064 if not case0=="array" and \
1065 (not case0=="float" or len(sh0)==0) and (not case1=="float" or len(sh1)==0) and \
1066 (sh0==() or sh1==() or sh1==sh0) and \
1067 not (case0 in ["float","array"] and case1 in ["float","array"]):
1068 use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData"
1069 text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n"
1070 tname="test_%s_overloaded_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1))
1071 text+=" def %s(self):\n"%tname
1072 a_0=makeArray(sh0,oper[2])
1073 if case0 in ["taggedData", "expandedData"]:
1074 a1_0=makeArray(sh0,oper[2])
1075 else:
1076 a1_0=a_0
1077
1078 a_1=makeArray(sh1,oper[2])
1079 if case1 in ["taggedData", "expandedData"]:
1080 a1_1=makeArray(sh1,oper[2])
1081 else:
1082 a1_1=a_1
1083 r1=makeResult2(a1_0,a1_1,"%a1%"+oper[1]+"%a2%")
1084 r=makeResult2(a_0,a_1,"%a1%"+oper[1]+"%a2%")
1085 text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data)
1086 text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data)
1087 text+=" res=arg0%sarg1\n"%oper[1]
1088
1089 case=getResultCaseForBin(case0,case1)
1090 if case=="Symbol":
1091 c0_res,c1_res=case0,case1
1092 subs="{"
1093 if case0=="Symbol":
1094 text+=mkText("array","s0",a_0,a1_0)
1095 subs+="arg0:s0"
1096 c0_res="array"
1097 if case1=="Symbol":
1098 text+=mkText("array","s1",a_1,a1_1)
1099 if not subs.endswith("{"): subs+=","
1100 subs+="arg1:s1"
1101 c1_res="array"
1102 subs+="}"
1103 text+=" sub=res.substitute(%s)\n"%subs
1104 res="sub"
1105 text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1)
1106 else:
1107 res="res"
1108 text+=mkText(case,"ref",r,r1)
1109 if isinstance(r,float):
1110 text+=mkTypeAndShapeTest(case,(),"res")
1111 else:
1112 text+=mkTypeAndShapeTest(case,r.shape,"res")
1113 text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res
1114
1115 if case0 in [ "constData","taggedData","expandedData"] and case1 == "Symbol":
1116 t_prog_failing+=text
1117 else:
1118 if case0 == "taggedData" or case1 == "taggedData":
1119 t_prog_with_tags+=text
1120 else:
1121 t_prog+=text
1122
1123
1124 print test_header
1125 # print t_prog
1126 # print t_prog_with_tags
1127 print t_prog_failing
1128 print test_tail
1129 1/0
1130 #=======================================================================================================
1131 # basic binary operations (tests only!)
1132 #=======================================================================================================
1133 oper_range=[-5.,5.]
1134 for oper in [["add" ,"+",[-5.,5.]],
1135 ["mult","*",[-5.,5.]],
1136 ["quotient" ,"/",[-5.,5.]],
1137 ["power" ,"**",[0.01,5.]]]:
1138 for case0 in case_set:
1139 for case1 in case_set:
1140 for sh in shape_set:
1141 for sh_p in shape_set:
1142 if len(sh_p)>0:
1143 resource=[-1,1]
1144 else:
1145 resource=[1]
1146 for sh_d in resource:
1147 if sh_d>0:
1148 sh0=sh
1149 sh1=sh+sh_p
1150 else:
1151 sh1=sh
1152 sh0=sh+sh_p
1153
1154 if (not case0=="float" or len(sh0)==0) and (not case1=="float" or len(sh1)==0) and \
1155 len(sh0)<5 and len(sh1)<5:
1156 use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData"
1157 text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n"
1158 tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1))
1159 text+=" def %s(self):\n"%tname
1160 a_0=makeArray(sh0,oper[2])
1161 if case0 in ["taggedData", "expandedData"]:
1162 a1_0=makeArray(sh0,oper[2])
1163 else:
1164 a1_0=a_0
1165
1166 a_1=makeArray(sh1,oper[2])
1167 if case1 in ["taggedData", "expandedData"]:
1168 a1_1=makeArray(sh1,oper[2])
1169 else:
1170 a1_1=a_1
1171 r1=makeResult2(a1_0,a1_1,"%a1%"+oper[1]+"%a2%")
1172 r=makeResult2(a_0,a_1,"%a1%"+oper[1]+"%a2%")
1173 text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data)
1174 text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data)
1175 text+=" res=%s(arg0,arg1)\n"%oper[0]
1176
1177 case=getResultCaseForBin(case0,case1)
1178 if case=="Symbol":
1179 c0_res,c1_res=case0,case1
1180 subs="{"
1181 if case0=="Symbol":
1182 text+=mkText("array","s0",a_0,a1_0)
1183 subs+="arg0:s0"
1184 c0_res="array"
1185 if case1=="Symbol":
1186 text+=mkText("array","s1",a_1,a1_1)
1187 if not subs.endswith("{"): subs+=","
1188 subs+="arg1:s1"
1189 c1_res="array"
1190 subs+="}"
1191 text+=" sub=res.substitute(%s)\n"%subs
1192 res="sub"
1193 text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1)
1194 else:
1195 res="res"
1196 text+=mkText(case,"ref",r,r1)
1197 if isinstance(r,float):
1198 text+=mkTypeAndShapeTest(case,(),"res")
1199 else:
1200 text+=mkTypeAndShapeTest(case,r.shape,"res")
1201 text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res
1202
1203 if case0 == "taggedData" or case1 == "taggedData":
1204 t_prog_with_tags+=text
1205 else:
1206 t_prog+=text
1207 print test_header
1208 # print t_prog
1209 print t_prog_with_tags
1210 print test_tail
1211 1/0
1212
1213 # print t_prog_with_tagsoper_range=[-5.,5.]
1214 for oper in [["add" ,"+",[-5.,5.]],
1215 ["sub" ,"-",[-5.,5.]],
1216 ["mult","*",[-5.,5.]],
1217 ["div" ,"/",[-5.,5.]],
1218 ["pow" ,"**",[0.01,5.]]]:
1219 for case0 in case_set:
1220 for sh0 in shape_set:
1221 for case1 in case_set:
1222 for sh1 in shape_set:
1223 if (not case0=="float" or len(sh0)==0) and (not case1=="float" or len(sh1)==0) and \
1224 (sh0==() or sh1==() or sh1==sh0) and \
1225 not (case0 in ["float","array"] and case1 in ["float","array"]):
1226 text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n"
1227 tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1))
1228 text+=" def %s(self):\n"%tname
1229 a_0=makeArray(sh0,oper[2])
1230 if case0 in ["taggedData", "expandedData"]:
1231 a1_0=makeArray(sh0,oper[2])
1232 else:
1233 a1_0=a_0
1234
1235 a_1=makeArray(sh1,oper[2])
1236 if case1 in ["taggedData", "expandedData"]:
1237 a1_1=makeArray(sh1,oper[2])
1238 else:
1239 a1_1=a_1
1240 r1=makeResult2(a1_0,a1_1,"%a1%"+oper[1]+"%a2%")
1241 r=makeResult2(a_0,a_1,"%a1%"+oper[1]+"%a2%")
1242 text+=mkText(case0,"arg0",a_0,a1_0)
1243 text+=mkText(case1,"arg1",a_1,a1_1)
1244 text+=" res=arg0%sarg1\n"%oper[1]
1245
1246 case=getResultCaseForBin(case0,case1)
1247 if case=="Symbol":
1248 c0_res,c1_res=case0,case1
1249 subs="{"
1250 if case0=="Symbol":
1251 text+=mkText("array","s0",a_0,a1_0)
1252 subs+="arg0:s0"
1253 c0_res="array"
1254 if case1=="Symbol":
1255 text+=mkText("array","s1",a_1,a1_1)
1256 if not subs.endswith("{"): subs+=","
1257 subs+="arg1:s1"
1258 c1_res="array"
1259 subs+="}"
1260 text+=" sub=res.substitute(%s)\n"%subs
1261 res="sub"
1262 text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1)
1263 else:
1264 res="res"
1265 text+=mkText(case,"ref",r,r1)
1266 if isinstance(r,float):
1267 text+=mkTypeAndShapeTest(case,(),"res")
1268 else:
1269 text+=mkTypeAndShapeTest(case,r.shape,"res")
1270 text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res
1271
1272 if case0 in [ "constData","taggedData","expandedData"] and case1 == "Symbol":
1273 t_prog_failing+=text
1274 else:
1275 if case0 == "taggedData" or case1 == "taggedData":
1276 t_prog_with_tags+=text
1277 else:
1278 t_prog+=text
1279
1280
1281 # print u_prog
1282 # 1/0
1283 print test_header
1284 print t_prog
1285 # print t_prog_with_tags
1286 # print t_prog_failing
1287 print test_tail
1288 # print t_prog_failing
1289 print test_tail
1290
1291 #=======================================================================================================
1292 # unary operations:
1293 #=======================================================================================================
1294 func= [
1295 OPERATOR(nickname="log10",\
1296 rng=[1.e-3,100.],\
1297 test_expr="math.log10(%a1%)",\
1298 math_expr="math.log10(%a1%)",\
1299 numarray_expr="numarray.log10(%a1%)",\
1300 symbol_expr="log(%a1%)/log(10.)",\
1301 name="base-10 logarithm"),
1302 OPERATOR(nickname="wherePositive",\
1303 rng=[-100.,100.],\
1304 test_expr="wherepos(%a1%)",\
1305 math_expr="if arg>0:\n return 1.\nelse:\n return 0.",
1306 numarray_expr="numarray.greater(arg,numarray.zeros(arg.shape,numarray.Float))",\
1307 name="mask of positive values"),
1308 OPERATOR(nickname="whereNegative",\
1309 rng=[-100.,100.],\
1310 test_expr="wherepos(-%a1%)",\
1311 math_expr="if arg<0:\n return 1.\nelse:\n return 0.",
1312 numarray_expr="numarray.less(arg,numarray.zeros(arg.shape,numarray.Float))",\
1313 name="mask of positive values"),
1314 OPERATOR(nickname="whereNonNegative",\
1315 rng=[-100.,100.],\
1316 test_expr="1-wherepos(-%a1%)", \
1317 math_expr="if arg<0:\n return 0.\nelse:\n return 1.",
1318 numarray_expr="numarray.greater_equal(arg,numarray.zeros(arg.shape,numarray.Float))",\
1319 symbol_expr="1-wherePositive(%a1%)",\
1320 name="mask of non-negative values"),
1321 OPERATOR(nickname="whereNonPositive",\
1322 rng=[-100.,100.],\
1323 test_expr="1-wherepos(%a1%)",\
1324 math_expr="if arg>0:\n return 0.\nelse:\n return 1.",
1325 numarray_expr="numarray.less_equal(arg,numarray.zeros(arg.shape,numarray.Float))",\
1326 symbol_expr="1-whereNegative(%a1%)",\
1327 name="mask of non-positive values"),
1328 OPERATOR(nickname="whereZero",\
1329 rng=[-100.,100.],\
1330 test_expr="1-wherepos(%a1%)-wherepos(-%a1%)",\
1331 math_expr="if abs(%a1%)<=tol:\n return 1.\nelse:\n return 0.",
1332 numarray_expr="numarray.less_equal(abs(%a1%)-tol,numarray.zeros(arg.shape,numarray.Float))",\
1333 name="mask of zero entries"),
1334 OPERATOR(nickname="whereNonZero",\
1335 rng=[-100.,100.],\
1336 test_expr="wherepos(%a1%)+wherepos(-%a1%)",\
1337 math_expr="if abs(%a1%)>tol:\n return 1.\nelse:\n return 0.",\
1338 numarray_expr="numarray.greater(abs(%a1%)-tol,numarray.zeros(arg.shape,numarray.Float))",\
1339 symbol_expr="1-whereZero(arg,tol)",\
1340 name="mask of values different from zero"),
1341 OPERATOR(nickname="sin",\
1342 rng=[-100.,100.],\
1343 test_expr="math.sin(%a1%)",
1344 numarray_expr="numarray.sin(%a1%)",\
1345 diff="cos(%a1%)",\
1346 name="sine"),
1347 OPERATOR(nickname="cos",\
1348 rng=[-100.,100.],\
1349 test_expr="math.cos(%a1%)",
1350 numarray_expr="numarray.cos(%a1%)",\
1351 diff="-sin(%a1%)",
1352 name="cosine"),
1353 OPERATOR(nickname="tan",\
1354 rng=[-100.,100.],\
1355 test_expr="math.tan(%a1%)",
1356 numarray_expr="numarray.tan(%a1%)",\
1357 diff="1./cos(%a1%)**2",
1358 name="tangent"),
1359 OPERATOR(nickname="asin",\
1360 rng=[-0.99,0.99],\
1361 test_expr="math.asin(%a1%)",
1362 numarray_expr="numarray.arcsin(%a1%)",
1363 diff="1./sqrt(1.-%a1%**2)",
1364 name="inverse sine"),
1365 OPERATOR(nickname="acos",\
1366 rng=[-0.99,0.99],\
1367 test_expr="math.acos(%a1%)",
1368 numarray_expr="numarray.arccos(%a1%)",
1369 diff="-1./sqrt(1.-%a1%**2)",
1370 name="inverse cosine"),
1371 OPERATOR(nickname="atan",\
1372 rng=[-100.,100.],\
1373 test_expr="math.atan(%a1%)",
1374 numarray_expr="numarray.arctan(%a1%)",
1375 diff="1./(1+%a1%**2)",
1376 name="inverse tangent"),
1377 OPERATOR(nickname="sinh",\
1378 rng=[-5,5],\
1379 test_expr="math.sinh(%a1%)",
1380 numarray_expr="numarray.sinh(%a1%)",
1381 diff="cosh(%a1%)",
1382 name="hyperbolic sine"),
1383 OPERATOR(nickname="cosh",\
1384 rng=[-5.,5.],
1385 test_expr="math.cosh(%a1%)",
1386 numarray_expr="numarray.cosh(%a1%)",
1387 diff="sinh(%a1%)",
1388 name="hyperbolic cosine"),
1389 OPERATOR(nickname="tanh",\
1390 rng=[-5.,5.],
1391 test_expr="math.tanh(%a1%)",
1392 numarray_expr="numarray.tanh(%a1%)",
1393 diff="1./cosh(%a1%)**2",
1394 name="hyperbolic tangent"),
1395 OPERATOR(nickname="asinh",\
1396 rng=[-100.,100.], \
1397 test_expr="numarray.arcsinh(%a1%)",
1398 math_expr="numarray.arcsinh(%a1%)",
1399 numarray_expr="numarray.arcsinh(%a1%)",
1400 diff="1./sqrt(%a1%**2+1)",
1401 name="inverse hyperbolic sine"),
1402 OPERATOR(nickname="acosh",\
1403 rng=[1.001,100.],\
1404 test_expr="numarray.arccosh(%a1%)",
1405 math_expr="numarray.arccosh(%a1%)",
1406 numarray_expr="numarray.arccosh(%a1%)",
1407 diff="1./sqrt(%a1%**2-1)",
1408 name="inverse hyperolic cosine"),
1409 OPERATOR(nickname="atanh",\
1410 rng=[-0.99,0.99], \
1411 test_expr="numarray.arctanh(%a1%)",
1412 math_expr="numarray.arctanh(%a1%)",
1413 numarray_expr="numarray.arctanh(%a1%)",
1414 diff="1./(1.-%a1%**2)",
1415 name="inverse hyperbolic tangent"),
1416 OPERATOR(nickname="exp",\
1417 rng=[-5.,5.],
1418 test_expr="math.exp(%a1%)",
1419 numarray_expr="numarray.exp(%a1%)",
1420 diff="self",
1421 name="exponential"),
1422 OPERATOR(nickname="sqrt",\
1423 rng=[1.e-3,100.],\
1424 test_expr="math.sqrt(%a1%)",
1425 numarray_expr="numarray.sqrt(%a1%)",
1426 diff="0.5/self",
1427 name="square root"),
1428 OPERATOR(nickname="log", \
1429 rng=[1.e-3,100.],\
1430 test_expr="math.log(%a1%)",
1431 numarray_expr="numarray.log(%a1%)",
1432 diff="1./arg",
1433 name="natural logarithm"),
1434 OPERATOR(nickname="sign",\
1435 rng=[-100.,100.], \
1436 math_expr="if %a1%>0:\n return 1.\nelif %a1%<0:\n return -1.\nelse:\n return 0.",
1437 test_expr="wherepos(%a1%)-wherepos(-%a1%)",
1438 numarray_expr="numarray.sign(%a1%)",
1439 symbol_expr="wherePositive(%a1%)-whereNegative(%a1%)",\
1440 name="sign"),
1441 OPERATOR(nickname="abs",\
1442 rng=[-100.,100.], \
1443 math_expr="if %a1%>0:\n return %a1% \nelif %a1%<0:\n return -(%a1%)\nelse:\n return 0.",
1444 test_expr="wherepos(%a1%)*(%a1%)-wherepos(-%a1%)*(%a1%)",
1445 numarray_expr="abs(%a1%)",
1446 diff="sign(%a1%)",
1447 name="absolute value")
1448
1449 ]
1450 for f in func:
1451 symbol_name=f.nickname[0].upper()+f.nickname[1:]
1452 if f.nickname!="abs":
1453 u_prog+="def %s(arg):\n"%f.nickname
1454 u_prog+=" \"\"\"\n"
1455 u_prog+=" returns %s of argument arg\n\n"%f.name
1456 u_prog+=" @param arg: argument\n"
1457 u_prog+=" @type arg: C{float}, L{escript.Data}, L{Symbol}, L{numarray.NumArray}.\n"
1458 u_prog+=" @rtype:C{float}, L{escript.Data}, L{Symbol}, L{numarray.NumArray} depending on the type of arg.\n"
1459 u_prog+=" @raises TypeError: if the type of the argument is not expected.\n"
1460 u_prog+=" \"\"\"\n"
1461 u_prog+=" if isinstance(arg,numarray.NumArray):\n"
1462 u_prog+=mkCode(f.numarray_expr,["arg"],2*" ")
1463 u_prog+=" elif isinstance(arg,escript.Data):\n"
1464 u_prog+=mkCode("arg._%s()"%f.nickname,[],2*" ")
1465 u_prog+=" elif isinstance(arg,float):\n"
1466 u_prog+=mkCode(f.math_expr,["arg"],2*" ")
1467 u_prog+=" elif isinstance(arg,int):\n"
1468 u_prog+=mkCode(f.math_expr,["float(arg)"],2*" ")
1469 u_prog+=" elif isinstance(arg,Symbol):\n"
1470 if f.symbol_expr==None:
1471 u_prog+=mkCode("%s_Symbol(arg)"%symbol_name,[],2*" ")
1472 else:
1473 u_prog+=mkCode(f.symbol_expr,["arg"],2*" ")
1474 u_prog+=" else:\n"
1475 u_prog+=" raise TypeError,\"%s: Unknown argument type.\"\n\n"%f.nickname
1476 if f.symbol_expr==None:
1477 u_prog+="class %s_Symbol(DependendSymbol):\n"%symbol_name
1478 u_prog+=" \"\"\"\n"
1479 u_prog+=" L{Symbol} representing the result of the %s function\n"%f.name
1480 u_prog+=" \"\"\"\n"
1481 u_prog+=" def __init__(self,arg):\n"
1482 u_prog+=" \"\"\"\n"
1483 u_prog+=" initialization of %s L{Symbol} with argument arg\n"%f.nickname
1484 u_prog+=" @param arg: argument of function\n"
1485 u_prog+=" @type arg: typically L{Symbol}.\n"
1486 u_prog+=" \"\"\"\n"
1487 u_prog+=" DependendSymbol.__init__(self,args=[arg],shape=arg.getShape(),dim=arg.getDim())\n"
1488 u_prog+="\n"
1489
1490 u_prog+=" def getMyCode(self,argstrs,format=\"escript\"):\n"
1491 u_prog+=" \"\"\"\n"
1492 u_prog+=" returns a program code that can be used to evaluate the symbol.\n\n"
1493
1494 u_prog+=" @param argstrs: gives for each argument a string representing the argument for the evaluation.\n"
1495 u_prog+=" @type argstrs: C{str} or a C{list} of length 1 of C{str}.\n"
1496 u_prog+=" @param format: specifies the format to be used. At the moment only \"escript\" ,\"text\" and \"str\" are supported.\n"
1497 u_prog+=" @type format: C{str}\n"
1498 u_prog+=" @return: a piece of program code which can be used to evaluate the expression assuming the values for the arguments are available.\n"
1499 u_prog+=" @rtype: C{str}\n"
1500 u_prog+=" @raise: NotImplementedError: if the requested format is not available\n"
1501 u_prog+=" \"\"\"\n"
1502 u_prog+=" if isinstance(argstrs,list):\n"
1503 u_prog+=" argstrs=argstrs[0]\n"
1504 u_prog+=" if format==\"escript\" or format==\"str\" or format==\"text\":\n"
1505 u_prog+=" return \"%s(%%s)\"%%argstrs\n"%f.nickname
1506 u_prog+=" else:\n"
1507 u_prog+=" raise NotImplementedError,\"%s_Symbol does not provide program code for format %%s.\"%%format\n"%symbol_name
1508 u_prog+="\n"
1509
1510 u_prog+=" def substitute(self,argvals):\n"
1511 u_prog+=" \"\"\"\n"
1512 u_prog+=" assigns new values to symbols in the definition of the symbol.\n"
1513 u_prog+=" The method replaces the L{Symbol} u by argvals[u] in the expression defining this object.\n"
1514 u_prog+="\n"
1515 u_prog+=" @param argvals: new values assigned to symbols\n"
1516 u_prog+=" @type argvals: C{dict} with keywords of type L{Symbol}.\n"
1517 u_prog+=" @return: result of the substitution process. Operations are executed as much as possible.\n"
1518 u_prog+=" @rtype: L{escript.Symbol}, C{float}, L{escript.Data}, L{numarray.NumArray} depending on the degree of substitution\n"
1519 u_prog+=" @raise TypeError: if a value for a L{Symbol} cannot be substituted.\n"
1520 u_prog+=" \"\"\"\n"
1521 u_prog+=" if argvals.has_key(self):\n"
1522 u_prog+=" arg=argvals[self]\n"
1523 u_prog+=" if self.isAppropriateValue(arg):\n"
1524 u_prog+=" return arg\n"
1525 u_prog+=" else:\n"
1526 u_prog+=" raise TypeError,\"%s: new value is not appropriate.\"%str(self)\n"
1527 u_prog+=" else:\n"
1528 u_prog+=" arg=self.getSubstitutedArguments(argvals)[0]\n"
1529 u_prog+=" return %s(arg)\n\n"%f.nickname
1530 if not f.diff==None:
1531 u_prog+=" def diff(self,arg):\n"
1532 u_prog+=" \"\"\"\n"
1533 u_prog+=" differential of this object\n"
1534 u_prog+="\n"
1535 u_prog+=" @param arg: the derivative is calculated with respect to arg\n"
1536 u_prog+=" @type arg: L{escript.Symbol}\n"
1537 u_prog+=" @return: derivative with respect to C{arg}\n"
1538 u_prog+=" @rtype: typically L{Symbol} but other types such as C{float}, L{escript.Data}, L{numarray.NumArray} are possible.\n"
1539 u_prog+=" \"\"\"\n"
1540 u_prog+=" if arg==self:\n"
1541 u_prog+=" return identity(self.getShape())\n"
1542 u_prog+=" else:\n"
1543 u_prog+=" myarg=self.getArgument()[0]\n"
1544 u_prog+=" val=matchShape(%s,self.getDifferentiatedArguments(arg)[0])\n"%f.diff.replace("%a1%","myarg")
1545 u_prog+=" return val[0]*val[1]\n\n"
1546
1547 for case in case_set:
1548 for sh in shape_set:
1549 if not case=="float" or len(sh)==0:
1550 text=""
1551 text+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n"
1552 tname="def test_%s_%s_rank%s"%(f.nickname,case,len(sh))
1553 text+=" %s(self):\n"%tname
1554 a=makeArray(sh,f.rng)
1555 a1=makeArray(sh,f.rng)
1556 r1=makeResult(a1,f.test_expr)
1557 r=makeResult(a,f.test_expr)
1558
1559 text+=mkText(case,"arg",a,a1)
1560 text+=" res=%s(arg)\n"%f.nickname
1561 if case=="Symbol":
1562 text+=mkText("array","s",a,a1)
1563 text+=" sub=res.substitute({arg:s})\n"
1564 text+=mkText("array","ref",r,r1)
1565 res="sub"
1566 else:
1567 text+=mkText(case,"ref",r,r1)
1568 res="res"
1569 text+=mkTypeAndShapeTest(case,sh,"res")
1570 text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res
1571 if case == "taggedData":
1572 t_prog_with_tags+=text
1573 else:
1574 t_prog+=text
1575
1576 #=========== END OF GOOD CODE +++++++++++++++++++++++++++
1577
1578 1/0
1579
1580 def X():
1581 if args=="float":
1582 a=makeArray(sh,f[RANGE])
1583 r=makeResult(a,f)
1584 t_prog+=" arg=%s\n"%a[0]
1585 t_prog+=" ref=%s\n"%r[0]
1586 t_prog+=" res=%s(%a1%)\n"%f.nickname
1587 t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n"
1588 t_prog+=" self.failUnless(Lsup(res-ref)<=self.tol*Lsup(ref),\"wrong result\")\n"
1589 elif args == "array":
1590 a=makeArray(sh,f[RANGE])
1591 r=makeResult(a,f)
1592 if len(sh)==0:
1593 t_prog+=" arg=numarray.array(%s)\n"%a[0]
1594 t_prog+=" ref=numarray.array(%s)\n"%r[0]
1595 else:
1596 t_prog+=" arg=numarray.array(%s)\n"%a.tolist()
1597 t_prog+=" ref=numarray.array(%s)\n"%r.tolist()
1598 t_prog+=" res=%s(%a1%)\n"%f.nickname
1599 t_prog+=" self.failUnlessEqual(res.shape,%s,\"wrong shape of result.\")\n"%str(sh)
1600 t_prog+=" self.failUnless(Lsup(res-ref)<=self.tol*Lsup(ref),\"wrong result\")\n"
1601 elif args== "constData":
1602 a=makeArray(sh,f[RANGE])
1603 r=makeResult(a,f)
1604 if len(sh)==0:
1605 t_prog+=" arg=Data(%s,self.functionspace)\n"%(a)
1606 t_prog+=" ref=%s\n"%r
1607 else:
1608 t_prog+=" arg=Data(numarray.array(%s),self.functionspace)\n"%(a.tolist())
1609 t_prog+=" ref=numarray.array(%s)\n"%r.tolist()
1610 t_prog+=" res=%s(%a1%)\n"%f.nickname
1611 t_prog+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh)
1612 t_prog+=" self.failUnless(Lsup(res-ref)<=self.tol*Lsup(ref),\"wrong result\")\n"
1613 elif args in [ "taggedData","expandedData"]:
1614 a=makeArray(sh,f[RANGE])
1615 r=makeResult(a,f)
1616 a1=makeArray(sh,f[RANGE])
1617 r1=makeResult(a1,f)
1618 if len(sh)==0:
1619 if args=="expandedData":
1620 t_prog+=" arg=Data(%s,self.functionspace,True)\n"%(a)
1621 t_prog+=" ref=Data(%s,self.functionspace,True)\n"%(r)
1622 else:
1623 t_prog+=" arg=Data(%s,self.functionspace)\n"%(a)
1624 t_prog+=" ref=Data(%s,self.functionspace)\n"%(r)
1625 t_prog+=" arg.setTaggedValue(1,%s)\n"%a
1626 t_prog+=" ref.setTaggedValue(1,%s)\n"%r1
1627 else:
1628 if args=="expandedData":
1629 t_prog+=" arg=Data(numarray.array(%s),self.functionspace,True)\n"%(a.tolist())
1630 t_prog+=" ref=Data(numarray.array(%s),self.functionspace,True)\n"%(r.tolist())
1631 else:
1632 t_prog+=" arg=Data(numarray.array(%s),self.functionspace)\n"%(a.tolist())
1633 t_prog+=" ref=Data(numarray.array(%s),self.functionspace)\n"%(r.tolist())
1634 t_prog+=" arg.setTaggedValue(1,%s)\n"%a1.tolist()
1635 t_prog+=" ref.setTaggedValue(1,%s)\n"%r1.tolist()
1636 t_prog+=" res=%s(%a1%)\n"%f.nickname
1637 t_prog+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh)
1638 t_prog+=" self.failUnless(Lsup(res-ref)<=self.tol*Lsup(ref),\"wrong result\")\n"
1639 elif args=="Symbol":
1640 t_prog+=" arg=Symbol(shape=%s)\n"%str(sh)
1641 t_prog+=" v=%s(%a1%)\n"%f.nickname
1642 t_prog+=" self.failUnlessRaises(ValueError,v.substitute,Symbol(shape=(1,1)),\"illegal shape of substitute not identified.\")\n"
1643 a=makeArray(sh,f[RANGE])
1644 r=makeResult(a,f)
1645 if len(sh)==0:
1646 t_prog+=" res=v.substitute({arg : %s})\n"%a
1647 t_prog+=" ref=%s\n"%r
1648 t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n"
1649 else:
1650 t_prog+=" res=v.substitute({arg : numarray.array(%s)})\n"%a.tolist()
1651 t_prog+=" ref=numarray.array(%s)\n"%r.tolist()
1652 t_prog+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of substitution result.\")\n"%str(sh)
1653 t_prog+=" self.failUnless(Lsup(res-ref)<=self.tol*Lsup(ref),\"wrong result\")\n"
1654
1655 if len(sh)==0:
1656 t_prog+=" # test derivative with respect to itself:\n"
1657 t_prog+=" dvdv=v.diff(v)\n"
1658 t_prog+=" self.failUnlessEqual(dvdv,1.,\"derivative with respect to self is not 1.\")\n"
1659 elif len(sh)==1:
1660 t_prog+=" # test derivative with respect to itself:\n"
1661 t_prog+=" dvdv=v.diff(v)\n"
1662 t_prog+=" self.failUnlessEqual(dvdv.shape,%s,\"shape of derivative with respect is wrong\")\n"%str(sh+sh)
1663 for i0_l in range(sh[0]):
1664 for i0_r in range(sh[0]):
1665 if i0_l == i0_r:
1666 v=1.
1667 else:
1668 v=0.
1669 t_prog+=" self.failUnlessEqual(dvdv[%s,%s],%s,\"derivative with respect to self: [%s,%s] is not %s\")\n"%(i0_l,i0_r,v,i0_l,i0_r,v)
1670 elif len(sh)==2:
1671 t_prog+=" # test derivative with respect to itself:\n"
1672 t_prog+=" dvdv=v.diff(v)\n"
1673 t_prog+=" self.failUnlessEqual(dvdv.shape,%s,\"shape of derivative with respect is wrong\")\n"%str(sh+sh)
1674 for i0_l in range(sh[0]):
1675 for i0_r in range(sh[0]):
1676 for i1_l in range(sh[1]):
1677 for i1_r in range(sh[1]):
1678 if i0_l == i0_r and i1_l == i1_r:
1679 v=1.
1680 else:
1681 v=0.
1682 t_prog+=" self.failUnlessEqual(dvdv[%s,%s,%s,%s],%s,\"derivative with respect to self: [%s,%s,%s,%s] is not %s\")\n"%(i0_l,i1_l,i0_r,i1_r,v,i0_l,i1_l,i0_r,i1_r,v)
1683
1684 for sh_in in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]:
1685 if len(sh_in)+len(sh)<=4:
1686
1687 t_prog+=" # test derivative with shape %s as argument\n"%str(sh_in)
1688 trafo=makeArray(sh+sh_in,[0,1.])
1689 a_in=makeArray(sh_in,f[RANGE])
1690 t_prog+=" arg_in=Symbol(shape=%s)\n"%str(sh_in)
1691 t_prog+=" arg2=Symbol(shape=%s)\n"%str(sh)
1692
1693 if len(sh)==0:
1694 t_prog+=" arg2="
1695 if len(sh_in)==0:
1696 t_prog+="%s*arg_in\n"%trafo
1697 elif len(sh_in)==1:
1698 for i0 in range(sh_in[0]):
1699 if i0>0: t_prog+="+"
1700 t_prog+="%s*arg_in[%s]"%(trafo[i0],i0)
1701 t_prog+="\n"
1702 elif len(sh_in)==2:
1703 for i0 in range(sh_in[0]):
1704 for i1 in range(sh_in[1]):
1705 if i0+i1>0: t_prog+="+"
1706 t_prog+="%s*arg_in[%s,%s]"%(trafo[i0,i1],i0,i1)
1707
1708 elif len(sh_in)==3:
1709 for i0 in range(sh_in[0]):
1710 for i1 in range(sh_in[1]):
1711 for i2 in range(sh_in[2]):
1712 if i0+i1+i2>0: t_prog+="+"
1713 t_prog+="%s*arg_in[%s,%s,%s]"%(trafo[i0,i1,i2],i0,i1,i2)
1714 elif len(sh_in)==4:
1715 for i0 in range(sh_in[0]):
1716 for i1 in range(sh_in[1]):
1717 for i2 in range(sh_in[2]):
1718 for i3 in range(sh_in[3]):
1719 if i0+i1+i2+i3>0: t_prog+="+"
1720 t_prog+="%s*arg_in[%s,%s,%s,%s]"%(trafo[i0,i1,i2,i3],i0,i1,i2,i3)
1721 t_prog+="\n"
1722 elif len(sh)==1:
1723 for j0 in range(sh[0]):
1724 t_prog+=" arg2[%s]="%j0
1725 if len(sh_in)==0:
1726 t_prog+="%s*arg_in"%trafo[j0]
1727 elif len(sh_in)==1:
1728 for i0 in range(sh_in[0]):
1729 if i0>0: t_prog+="+"
1730 t_prog+="%s*arg_in[%s]"%(trafo[j0,i0],i0)
1731 elif len(sh_in)==2:
1732 for i0 in range(sh_in[0]):
1733 for i1 in range(sh_in[1]):
1734 if i0+i1>0: t_prog+="+"
1735 t_prog+="%s*arg_in[%s,%s]"%(trafo[j0,i0,i1],i0,i1)
1736 elif len(sh_in)==3:
1737 for i0 in range(sh_in[0]):
1738 for i1 in range(sh_in[1]):
1739 for i2 in range(sh_in[2]):
1740 if i0+i1+i2>0: t_prog+="+"
1741 t_prog+="%s*arg_in[%s,%s,%s]"%(trafo[j0,i0,i1,i2],i0,i1,i2)
1742 t_prog+="\n"
1743 elif len(sh)==2:
1744 for j0 in range(sh[0]):
1745 for j1 in range(sh[1]):
1746 t_prog+=" arg2[%s,%s]="%(j0,j1)
1747 if len(sh_in)==0:
1748 t_prog+="%s*arg_in"%trafo[j0,j1]
1749 elif len(sh_in)==1:
1750 for i0 in range(sh_in[0]):
1751 if i0>0: t_prog+="+"
1752 t_prog+="%s*arg_in[%s]"%(trafo[j0,j1,i0],i0)
1753 elif len(sh_in)==2:
1754 for i0 in range(sh_in[0]):
1755 for i1 in range(sh_in[1]):
1756 if i0+i1>0: t_prog+="+"
1757 t_prog+="%s*arg_in[%s,%s]"%(trafo[j0,j1,i0,i1],i0,i1)
1758 t_prog+="\n"
1759 elif len(sh)==3:
1760 for j0 in range(sh[0]):
1761 for j1 in range(sh[1]):
1762 for j2 in range(sh[2]):
1763 t_prog+=" arg2[%s,%s,%s]="%(j0,j1,j2)
1764 if len(sh_in)==0:
1765 t_prog+="%s*arg_in"%trafo[j0,j1,j2]
1766 elif len(sh_in)==1:
1767 for i0 in range(sh_in[0]):
1768 if i0>0: t_prog+="+"
1769 t_prog+="%s*arg_in[%s]"%(trafo[j0,j1,j2,i0],i0)
1770 t_prog+="\n"
1771 elif len(sh)==4:
1772 for j0 in range(sh[0]):
1773 for j1 in range(sh[1]):
1774 for j2 in range(sh[2]):
1775 for j3 in range(sh[3]):
1776 t_prog+=" arg2[%s,%s,%s,%s]="%(j0,j1,j2,j3)
1777 if len(sh_in)==0:
1778 t_prog+="%s*arg_in"%trafo[j0,j1,j2,j3]
1779 t_prog+="\n"
1780 t_prog+=" dvdin=v.substitute({arg : arg2}).diff(arg_in)\n"
1781 if len(sh_in)==0:
1782 t_prog+=" res_in=dvdin.substitute({arg_in : %s})\n"%a_in
1783 else:
1784 t_prog+=" res_in=dvdin.substitute({arg : numarray.array(%s)})\n"%a_in.tolist()
1785
1786 if len(sh)==0:
1787 if len(sh_in)==0:
1788 ref_diff=(makeResult(trafo*a_in+finc,f)-makeResult(trafo*a_in,f))/finc
1789 t_prog+=" self.failUnlessAlmostEqual(dvdin,%s,self.places,\"%s-derivative: wrong derivative\")\n"%(ref_diff,str(sh_in))
1790 elif len(sh_in)==1:
1791 s=0
1792 for k0 in range(sh_in[0]):
1793 s+=trafo[k0]*a_in[k0]
1794 for i0 in range(sh_in[0]):
1795 ref_diff=(makeResult(s+trafo[i0]*finc,f)-makeResult(s,f))/finc
1796 t_prog+=" self.failUnlessAlmostEqual(dvdin[%s],%s,self.places,\"%s-derivative: wrong derivative with respect of %s\")\n"%(i0,ref_diff,str(sh_in),str(i0))
1797 elif len(sh_in)==2:
1798 s=0
1799 for k0 in range(sh_in[0]):
1800 for k1 in range(sh_in[1]):
1801 s+=trafo[k0,k1]*a_in[k0,k1]
1802 for i0 in range(sh_in[0]):
1803 for i1 in range(sh_in[1]):
1804 ref_diff=(makeResult(s+trafo[i0,i1]*finc,f)-makeResult(s,f))/finc
1805 t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s],%s,self.places,\"%s-derivative: wrong derivative with respect of %s\")\n"%(i0,i1,ref_diff,str(sh_in),str((i0,i1)))
1806
1807 elif len(sh_in)==3:
1808 s=0
1809 for k0 in range(sh_in[0]):
1810 for k1 in range(sh_in[1]):
1811 for k2 in range(sh_in[2]):
1812 s+=trafo[k0,k1,k2]*a_in[k0,k1,k2]
1813 for i0 in range(sh_in[0]):
1814 for i1 in range(sh_in[1]):
1815 for i2 in range(sh_in[2]):
1816 ref_diff=(makeResult(s+trafo[i0,i1,i2]*finc,f)-makeResult(s,f))/finc
1817 t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative with respect of %s\")\n"%(i0,i1,i2,ref_diff,str(sh_in),str((i0,i1,i2)))
1818 elif len(sh_in)==4:
1819 s=0
1820 for k0 in range(sh_in[0]):
1821 for k1 in range(sh_in[1]):
1822 for k2 in range(sh_in[2]):
1823 for k3 in range(sh_in[3]):
1824 s+=trafo[k0,k1,k2,k3]*a_in[k0,k1,k2,k3]
1825 for i0 in range(sh_in[0]):
1826 for i1 in range(sh_in[1]):
1827 for i2 in range(sh_in[2]):
1828 for i3 in range(sh_in[3]):
1829 ref_diff=(makeResult(s+trafo[i0,i1,i2,i3]*finc,f)-makeResult(s,f))/finc
1830 t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative with respect of %s\")\n"%(i0,i1,i2,i3,ref_diff,str(sh_in),str((i0,i1,i2,i3)))
1831 elif len(sh)==1:
1832 for j0 in range(sh[0]):
1833 if len(sh_in)==0:
1834 ref_diff=(makeResult(trafo[j0]*a_in+finc,f)-makeResult(trafo[j0]*a_in,f))/finc
1835 t_prog+=" self.failUnlessAlmostEqual(dvdin[%s],%s,self.places,\"%s-derivative: wrong derivative of %s\")\n"%(j0,ref_diff,str(sh_in),j0)
1836 elif len(sh_in)==1:
1837 s=0
1838 for k0 in range(sh_in[0]):
1839 s+=trafo[j0,k0]*a_in[k0]
1840 for i0 in range(sh_in[0]):
1841 ref_diff=(makeResult(s+trafo[j0,i0]*finc,f)-makeResult(s,f))/finc
1842 t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s with respect of %s\")\n"%(j0,i0,ref_diff,str(sh_in),str(j0),str(i0))
1843 elif len(sh_in)==2:
1844 s=0
1845 for k0 in range(sh_in[0]):
1846 for k1 in range(sh_in[1]):
1847 s+=trafo[j0,k0,k1]*a_in[k0,k1]
1848 for i0 in range(sh_in[0]):
1849 for i1 in range(sh_in[1]):
1850 ref_diff=(makeResult(s+trafo[j0,i0,i1]*finc,f)-makeResult(s,f))/finc
1851 t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s with respect of %s\")\n"%(j0,i0,i1,ref_diff,str(sh_in),str(j0),str((i0,i1)))
1852
1853 elif len(sh_in)==3:
1854
1855 s=0
1856 for k0 in range(sh_in[0]):
1857 for k1 in range(sh_in[1]):
1858 for k2 in range(sh_in[2]):
1859 s+=trafo[j0,k0,k1,k2]*a_in[k0,k1,k2]
1860
1861 for i0 in range(sh_in[0]):
1862 for i1 in range(sh_in[1]):
1863 for i2 in range(sh_in[2]):
1864 ref_diff=(makeResult(s+trafo[j0,i0,i1,i2]*finc,f)-makeResult(s,f))/finc
1865 t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s with respect of %s\")\n"%(j0,i0,i1,i2,ref_diff,str(sh_in),str(j0),str((i0,i1,i2)))
1866 elif len(sh)==2:
1867 for j0 in range(sh[0]):
1868 for j1 in range(sh[1]):
1869 if len(sh_in)==0:
1870 ref_diff=(makeResult(trafo[j0,j1]*a_in+finc,f)-makeResult(trafo[j0,j1]*a_in,f))/finc
1871 t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s\")\n"%(j0,j1,ref_diff,str(sh_in),str((j0,j1)))
1872 elif len(sh_in)==1:
1873 s=0
1874 for k0 in range(sh_in[0]):
1875 s+=trafo[j0,j1,k0]*a_in[k0]
1876 for i0 in range(sh_in[0]):
1877 ref_diff=(makeResult(s+trafo[j0,j1,i0]*finc,f)-makeResult(s,f))/finc
1878 t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s with respect of %s\")\n"%(j0,j1,i0,ref_diff,str(sh_in),str((j0,j1)),str(i0))
1879
1880 elif len(sh_in)==2:
1881 s=0
1882 for k0 in range(sh_in[0]):
1883 for k1 in range(sh_in[1]):
1884 s+=trafo[j0,j1,k0,k1]*a_in[k0,k1]
1885 for i0 in range(sh_in[0]):
1886 for i1 in range(sh_in[1]):
1887 ref_diff=(makeResult(s+trafo[j0,j1,i0,i1]*finc,f)-makeResult(s,f))/finc
1888 t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s with respect of %s\")\n"%(j0,j1,i0,i1,ref_diff,str(sh_in),str((j0,j1)),str((i0,i1)))
1889 elif len(sh)==3:
1890 for j0 in range(sh[0]):
1891 for j1 in range(sh[1]):
1892 for j2 in range(sh[2]):
1893 if len(sh_in)==0:
1894 ref_diff=(makeResult(trafo[j0,j1,j2]*a_in+finc,f)-makeResult(trafo[j0,j1,j2]*a_in,f))/finc
1895 t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s\")\n"%(j0,j1,j2,ref_diff,str(sh_in),str((j0,j1,j2)))
1896 elif len(sh_in)==1:
1897 s=0
1898 for k0 in range(sh_in[0]):
1899 s+=trafo[j0,j1,j2,k0]*a_in[k0]
1900 for i0 in range(sh_in[0]):
1901 ref_diff=(makeResult(s+trafo[j0,j1,j2,i0]*finc,f)-makeResult(s,f))/finc
1902 t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s with respect of %s\")\n"%(j0,j1,j2,i0,ref_diff,str(sh_in),str((j0,j1,j2)),i0)
1903 elif len(sh)==4:
1904 for j0 in range(sh[0]):
1905 for j1 in range(sh[1]):
1906 for j2 in range(sh[2]):
1907 for j3 in range(sh[3]):
1908 if len(sh_in)==0:
1909 ref_diff=(makeResult(trafo[j0,j1,j2,j3]*a_in+finc,f)-makeResult(trafo[j0,j1,j2,j3]*a_in,f))/finc
1910 t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s\")\n"%(j0,j1,j2,j3,ref_diff,str(sh_in),str((j0,j1,j2,j3)))
1911
1912 #
1913
1914 #==================
1915 cases=["Scalar","Vector","Tensor", "Tensor3","Tensor4"]
1916
1917 for case in range(len(cases)):
1918 for d in [ None , "d", 1, 2 , 3]:
1919 if not d==None or cases[case]=="Scalar":
1920 t_prog+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n"
1921 tname="test_Symbol_%s_d%s"%(cases[case],d)
1922 t_prog+=" def %s(self):\n"%tname
1923 if d=="d":
1924 t_prog+=" s=%sSymbol(dim=self.functionspace)\n"%(cases[case])
1925 t_prog+=" d=self.functionspace.getDim()\n"
1926 sh="("
1927 for i in range(case):
1928 if i==0:
1929 sh+=d
1930 else:
1931 sh+=","+d
1932 sh+=")"
1933 else:
1934 t_prog+=" s=%sSymbol(dim=%s)\n"%(cases[case],d)
1935 sh=()
1936 for i in range(case): sh=sh+(d,)
1937 t_prog+=" self.failUnlessEqual(s.getRank(),%s,\"wrong rank.\")\n"%case
1938 t_prog+=" self.failUnlessEqual(s.getShape(),%s,\"wrong shape.\")\n"%str(sh)
1939 t_prog+=" self.failUnlessEqual(s.getDim(),%s,\"wrong spatial dimension.\")\n"%d
1940 t_prog+=" self.failUnlessEqual(s.getArgument(),[],\"wrong arguments.\")\n"
1941
1942 print t_prog
1943 1/0
1944 for sh in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]:
1945 for d in [ None , "domain", 1, 2 , 3]:
1946 for args in [ [], ["s2"], [1,-1.] ]:
1947 t_prog+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n"
1948 tname="def test_Symbol_rank%s_d%s_nargs%s"%(len(sh),d,len(args))
1949 t_prog+=" %s(self):\n"%tname
1950 t_prog+=" s2=ScalarSymbol()\n"
1951 if args==["s2"]:
1952 a="[s2]"
1953 else:
1954 a=str(args)
1955 if d=="domain":
1956 t_prog+=" s=Symbol(shape=%s,dim=self.functionspace.getDim(),args=%s)\n"%(str(sh),a)
1957 d2="self.functionspace.getDim()"
1958 else:
1959 t_prog+=" s=Symbol(shape=%s,dim=%s,args=%s)\n"%(sh,d,a)
1960 d2=str(d)
1961
1962 t_prog+=" self.failUnlessEqual(s.getRank(),%s,\"wrong rank.\")\n"%len(sh)
1963 t_prog+=" self.failUnlessEqual(s.getShape(),%s,\"wrong shape.\")\n"%str(sh)
1964 t_prog+=" self.failUnlessEqual(s.getDim(),%s,\"wrong spatial dimension.\")\n"%d2
1965 t_prog+=" self.failUnlessEqual(s.getArgument(),%s,\"wrong arguments.\")\n\n"%a
1966 t_prog+=" ss=s.substitute({s:numarray.zeros(%s)})\n"%str(sh)
1967 t_prog+=" self.failUnless(isinstance(ss,numarray.NumArray),\"value after substitution is not numarray.\")\n"
1968 t_prog+=" self.failUnlessEqual(ss.shape,%s,\"value after substitution has not expected shape\")\n"%str(sh)
1969
1970 t_prog+=" try:\n s.substitute({s:numarray.zeros((5,))})\n fail(\"illegal substition was successful\")\n"
1971 t_prog+=" except TypeError:\n pass\n\n"
1972
1973 ###
1974 for sh2 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]:
1975 if len(sh+sh2)<5:
1976 t_prog+=" dsdarg=s.diff(Symbol(shape=%s))\n"%str(sh2)
1977 if len(sh+sh2)==0:
1978 t_prog+=" self.failUnless(isinstance(dsdarg,float),\"ds/ds() has wrong type.\")\n"
1979 else:
1980 t_prog+=" self.failUnless(isinstance(dsdarg,numarray.NumArray),\"ds/ds%s has wrong type.\")\n"%str(sh2)
1981
1982 t_prog+=" self.failUnlessEqual(dsdarg.shape,%s,\"ds/ds%s has wrong shape.\")\n"%(str(sh+sh2),str(sh2))
1983 t_prog+=" self.failIf(Lsup(dsdarg)>0.,\"ds/ds%s has wrong value.\")\n"%str(sh2)
1984 if len(sh)<3:
1985 t_prog+="\n dsds=s.diff(s)\n"
1986 if len(sh)==0:
1987 t_prog+=" self.failUnless(isinstance(dsds,float),\"ds/ds has wrong type.\")\n"
1988 t_prog+=" self.failUnlessEqual(dsds,1.,\"ds/ds has wrong value.\")\n"
1989 else:
1990 t_prog+=" self.failUnless(isinstance(dsds,numarray.NumArray),\"ds/ds has wrong type.\")\n"
1991 t_prog+=" self.failUnlessEqual(dsds.shape,%s,\"ds/ds has wrong shape.\")\n"%str(sh+sh)
1992 if len(sh)==1:
1993 for i0 in range(sh[0]):
1994 for i2 in range(sh[0]):
1995 if i0==i2:
1996 v=1.
1997 else:
1998 v=0.
1999 t_prog+=" self.failUnlessEqual(dsds[%s,%s],%s,\"ds/ds has wrong value at (%s,%s).\")\n"%(i0,i2,v,i0,i2)
2000 else:
2001 for i0 in range(sh[0]):
2002 for i1 in range(sh[1]):
2003 for i2 in range(sh[0]):
2004 for i3 in range(sh[1]):
2005 if i0==i2 and i1==i3:
2006 v=1.
2007 else:
2008 v=0.
2009 t_prog+=" self.failUnlessEqual(dsds[%s,%s,%s,%s],%s,\"ds/ds has wrong value at (%s,%s,%s,%s).\")\n"%(i0,i1,i2,i3,v,i0,i1,i2,i3)
2010
2011 ###
2012 t_prog+="\n"
2013 for i in range(len(args)):
2014 t_prog+=" self.failUnlessEqual(s.getArgument(%s),%s,\"wrong argument %s.\")\n"%(i,str(args[i]),i)
2015 t_prog+=" sa=s.getSubstitutedArguments({s2:-10})\n"
2016 t_prog+=" self.failUnlessEqual(len(sa),%s,\"wrong number of substituted arguments\")\n"%len(args)
2017 if args==["s2"]:
2018 t_prog+=" self.failUnlessEqual(sa[0],-10,\"wrongly substituted argument 0.\")\n"
2019 else:
2020 for i in range(len(args)):
2021 t_prog+=" self.failUnlessEqual(sa[%s],%s,\"wrongly substituted argument %s.\")\n"%(i,str(args[i]),i)
2022
2023 t_prog+="\n"
2024 for arg in ["10.", "10", "SymbolMatch", "SymbolMisMatch", \
2025 "DataMatch","DataMisMatch", "NumArrayMatch", "NumArrayMisMatch"]:
2026 if arg in ["10.", "10"]:
2027 a=str(arg)
2028 if len(sh)==0:
2029 t_prog+=" self.failUnless(s.isAppropriateValue(%s),\"%s is appropriate substitute\")\n"%(a,arg)
2030 else:
2031 t_prog+=" self.failIf(s.isAppropriateValue(%s),\" %s is not appropriate substitute\")\n"%(a,arg)
2032 elif arg in ["SymbolMatch", "SymbolMisMatch"]:
2033 if arg=="SymbolMatch":
2034 t_prog+=" self.failUnless(s.isAppropriateValue(Symbol(shape=%s,dim=%s)),\"Symbol is appropriate substitute\")\n"%(str(sh),d)
2035 else:
2036 if isinstance(d,int):
2037 t_prog+=" self.failIf(s.isAppropriateValue(Symbol(shape=%s,dim=%s)),\"Symbol is not appropriate substitute (dim)\")\n"%(str(sh),d+1)
2038 else:
2039 t_prog+=" self.failIf(s.isAppropriateValue(Symbol(shape=%s)),\"Symbol is not appropriate substitute (shape)\")\n"%((5,))
2040
2041 elif arg in ["DataMatch","DataMisMatch"]:
2042 if arg=="DataMatch" and d=="domain":
2043 t_prog+=" self.failUnless(s.isAppropriateValue(escript.Data(0.,%s,self.functionspace)),\"Data is appropriate substitute\")\n"%str(sh)
2044 elif arg=="DataMisMatch":
2045 t_prog+=" self.failIf(s.isAppropriateValue(escript.Data(0.,%s,self.functionspace)),\"Data is not appropriate substitute (shape)\")\n"%(str((5,)))
2046 else:
2047 if arg=="NumArrayMatch":
2048 t_prog+=" self.failUnless(s.isAppropriateValue(numarray.zeros(%s)),\"NumArray is appropriate substitute\")\n"%str(sh)
2049 else:
2050 t_prog+=" self.failIf(s.isAppropriateValue(numarray.zeros(%s)),\"NumArray is not appropriate substitute (shape)\")\n"%(str((5,)))
2051 print t_prog
2052 1/0
2053
2054
2055 for case in ["Lsup", "sup", "inf"]:
2056 for args in ["float","array","constData","taggedData","expandedData"]:
2057 for sh in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]:
2058 if not args=="float" or len(sh)==0:
2059 t_prog+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n"
2060 tname="def test_%s_%s_rank%s"%(case,args,len(sh))
2061 t_prog+=" %s(self):\n"%tname
2062 if args in ["float","array" ]:
2063 a=makeArray(sh,[-1,1])
2064 r=makeResult2(a,case)
2065 if len(sh)==0:
2066 t_prog+=" arg=%s\n"%a
2067 else:
2068 t_prog+=" arg=numarray.array(%s)\n"%a.tolist()
2069 t_prog+=" ref=%s\n"%r
2070 t_prog+=" res=%s(%a1%)\n"%case
2071 t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n"
2072 t_prog+=" self.failUnless(abs(res-ref)<=self.tol*abs(ref),\"wrong result\")\n"
2073 elif args== "constData":
2074 a=makeArray(sh,[-1,1])
2075 r=makeResult2(a,case)
2076 if len(sh)==0:
2077 t_prog+=" arg=Data(%s,self.functionspace)\n"%(a)
2078 else:
2079 t_prog+=" arg=Data(numarray.array(%s),self.functionspace)\n"%(a.tolist())
2080 t_prog+=" ref=%s\n"%r
2081 t_prog+=" res=%s(%a1%)\n"%case
2082 t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n"
2083 t_prog+=" self.failUnless(abs(res-ref)<=self.tol*abs(ref),\"wrong result\")\n"
2084 elif args in [ "taggedData","expandedData"]:
2085 a=makeArray(sh,[-1,1])
2086 r=makeResult2(a,case)
2087 a1=makeArray(sh,[-1,1])
2088 r1=makeResult2(a1,case)
2089 if case in ["Lsup","sup"]:
2090 r=max(r,r1)
2091 else:
2092 r=min(r,r1)
2093 if len(sh)==0:
2094 if args=="expandedData":
2095 t_prog+=" arg=Data(%s,self.functionspace,True)\n"%(a)
2096 else:
2097 t_prog+=" arg=Data(%s,self.functionspace)\n"%(a)
2098 t_prog+=" arg.setTaggedValue(1,%s)\n"%a
2099 else:
2100 if args=="expandedData":
2101 t_prog+=" arg=Data(numarray.array(%s),self.functionspace,True)\n"%(a.tolist())
2102 else:
2103 t_prog+=" arg=Data(numarray.array(%s),self.functionspace)\n"%(a.tolist())
2104 t_prog+=" arg.setTaggedValue(1,%s)\n"%a1.tolist()
2105 t_prog+=" res=%s(%a1%)\n"%case
2106 t_prog+=" ref=%s\n"%r
2107 t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n"
2108 t_prog+=" self.failUnless(abs(res-ref)<=self.tol*abs(ref),\"wrong result\")\n"
2109
2110 print t_prog
2111
2112 1/0
2113
2114
2115 for case in ["Lsup", "sup", "inf"]:
2116 for args in ["float","array","constData","taggedData","expandedData"]:
2117 for sh in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]:
2118 if not args=="float" or len(sh)==0:
2119 t_prog+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n"
2120 tname="def test_%s_%s_rank%s"%(case,args,len(sh))
2121 t_prog+=" %s(self):\n"%tname
2122 if args in ["float","array" ]:
2123 a=makeArray(sh,[-1,1])
2124 r=makeResult2(a,case)
2125 if len(sh)==0:
2126 t_prog+=" arg=%s\n"%a
2127 else:
2128 t_prog+=" arg=numarray.array(%s)\n"%a.tolist()
2129 t_prog+=" ref=%s\n"%r
2130 t_prog+=" res=%s(%a1%)\n"%case
2131 t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n"
2132 t_prog+=" self.failUnless(abs(res-ref)<=self.tol*abs(ref),\"wrong result\")\n"
2133 elif args== "constData":
2134 a=makeArray(sh,[-1,1])
2135 r=makeResult2(a,case)
2136 if len(sh)==0:
2137 t_prog+=" arg=Data(%s,self.functionspace)\n"%(a)
2138 else:
2139 t_prog+=" arg=Data(numarray.array(%s),self.functionspace)\n"%(a.tolist())
2140 t_prog+=" ref=%s\n"%r
2141 t_prog+=" res=%s(%a1%)\n"%case
2142 t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n"
2143 t_prog+=" self.failUnless(abs(res-ref)<=self.tol*abs(ref),\"wrong result\")\n"
2144 elif args in [ "taggedData","expandedData"]:
2145 a=makeArray(sh,[-1,1])
2146 r=makeResult2(a,case)
2147 a1=makeArray(sh,[-1,1])
2148 r1=makeResult2(a1,case)
2149 if case in ["Lsup","sup"]:
2150 r=max(r,r1)
2151 else:
2152 r=min(r,r1)
2153 if len(sh)==0:
2154 if args=="expandedData":
2155 t_prog+=" arg=Data(%s,self.functionspace,True)\n"%(a)
2156 else:
2157 t_prog+=" arg=Data(%s,self.functionspace)\n"%(a)
2158 t_prog+=" arg.setTaggedValue(1,%s)\n"%a
2159 else:
2160 if args=="expandedData":
2161 t_prog+=" arg=Data(numarray.array(%s),self.functionspace,True)\n"%(a.tolist())
2162 else:
2163 t_prog+=" arg=Data(numarray.array(%s),self.functionspace)\n"%(a.tolist())
2164 t_prog+=" arg.setTaggedValue(1,%s)\n"%a1.tolist()
2165 t_prog+=" res=%s(%a1%)\n"%case
2166 t_prog+=" ref=%s\n"%r
2167 t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n"
2168 t_prog+=" self.failUnless(abs(res-ref)<=self.tol*abs(ref),\"wrong result\")\n"
2169
2170 print t_prog
2171
2172 1/0

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