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symmetric and nonsymmetric part functions added
1 | #!/usr/bin/python |
2 | # $Id$ |
3 | |
4 | """ |
5 | program generates parts of the util.py and the test_util.py script |
6 | """ |
7 | test_header="" |
8 | test_header+="import unittest\n" |
9 | test_header+="import numarray\n" |
10 | test_header+="from esys.escript import *\n" |
11 | test_header+="from esys.finley import Rectangle\n" |
12 | test_header+="class Test_util2(unittest.TestCase):\n" |
13 | test_header+=" RES_TOL=1.e-7\n" |
14 | test_header+=" def setUp(self):\n" |
15 | test_header+=" self.__dom =Rectangle(11,11,2)\n" |
16 | test_header+=" self.functionspace = FunctionOnBoundary(self.__dom)\n" |
17 | test_tail="" |
18 | test_tail+="suite = unittest.TestSuite()\n" |
19 | test_tail+="suite.addTest(unittest.makeSuite(Test_util2))\n" |
20 | test_tail+="unittest.TextTestRunner(verbosity=2).run(suite)\n" |
21 | |
22 | case_set=["float","array","constData","taggedData","expandedData","Symbol"] |
23 | shape_set=[ (),(2,), (4,5), (6,2,2),(3,2,3,4)] |
24 | |
25 | t_prog="" |
26 | t_prog_with_tags="" |
27 | t_prog_failing="" |
28 | u_prog="" |
29 | |
30 | def wherepos(arg): |
31 | if arg>0.: |
32 | return 1. |
33 | else: |
34 | return 0. |
35 | |
36 | |
37 | class OPERATOR: |
38 | def __init__(self,nickname,rng=[-1000.,1000],test_expr="",math_expr=None, |
39 | numarray_expr="",symbol_expr=None,diff=None,name=""): |
40 | self.nickname=nickname |
41 | self.rng=rng |
42 | self.test_expr=test_expr |
43 | if math_expr==None: |
44 | self.math_expr=test_expr.replace("%a1%","arg") |
45 | else: |
46 | self.math_expr=math_expr |
47 | self.numarray_expr=numarray_expr |
48 | self.symbol_expr=symbol_expr |
49 | self.diff=diff |
50 | self.name=name |
51 | |
52 | import random |
53 | import numarray |
54 | import math |
55 | finc=1.e-6 |
56 | |
57 | def getResultCaseForBin(case0,case1): |
58 | if case0=="float": |
59 | if case1=="float": |
60 | case="float" |
61 | elif case1=="array": |
62 | case="array" |
63 | elif case1=="constData": |
64 | case="constData" |
65 | elif case1=="taggedData": |
66 | case="taggedData" |
67 | elif case1=="expandedData": |
68 | case="expandedData" |
69 | elif case1=="Symbol": |
70 | case="Symbol" |
71 | else: |
72 | raise ValueError,"unknown case1=%s"%case1 |
73 | elif case0=="array": |
74 | if case1=="float": |
75 | case="array" |
76 | elif case1=="array": |
77 | case="array" |
78 | elif case1=="constData": |
79 | case="constData" |
80 | elif case1=="taggedData": |
81 | case="taggedData" |
82 | elif case1=="expandedData": |
83 | case="expandedData" |
84 | elif case1=="Symbol": |
85 | case="Symbol" |
86 | else: |
87 | raise ValueError,"unknown case1=%s"%case1 |
88 | elif case0=="constData": |
89 | if case1=="float": |
90 | case="constData" |
91 | elif case1=="array": |
92 | case="constData" |
93 | elif case1=="constData": |
94 | case="constData" |
95 | elif case1=="taggedData": |
96 | case="taggedData" |
97 | elif case1=="expandedData": |
98 | case="expandedData" |
99 | elif case1=="Symbol": |
100 | case="Symbol" |
101 | else: |
102 | raise ValueError,"unknown case1=%s"%case1 |
103 | elif case0=="taggedData": |
104 | if case1=="float": |
105 | case="taggedData" |
106 | elif case1=="array": |
107 | case="taggedData" |
108 | elif case1=="constData": |
109 | case="taggedData" |
110 | elif case1=="taggedData": |
111 | case="taggedData" |
112 | elif case1=="expandedData": |
113 | case="expandedData" |
114 | elif case1=="Symbol": |
115 | case="Symbol" |
116 | else: |
117 | raise ValueError,"unknown case1=%s"%case1 |
118 | elif case0=="expandedData": |
119 | if case1=="float": |
120 | case="expandedData" |
121 | elif case1=="array": |
122 | case="expandedData" |
123 | elif case1=="constData": |
124 | case="expandedData" |
125 | elif case1=="taggedData": |
126 | case="expandedData" |
127 | elif case1=="expandedData": |
128 | case="expandedData" |
129 | elif case1=="Symbol": |
130 | case="Symbol" |
131 | else: |
132 | raise ValueError,"unknown case1=%s"%case1 |
133 | elif case0=="Symbol": |
134 | if case1=="float": |
135 | case="Symbol" |
136 | elif case1=="array": |
137 | case="Symbol" |
138 | elif case1=="constData": |
139 | case="Symbol" |
140 | elif case1=="taggedData": |
141 | case="Symbol" |
142 | elif case1=="expandedData": |
143 | case="Symbol" |
144 | elif case1=="Symbol": |
145 | case="Symbol" |
146 | else: |
147 | raise ValueError,"unknown case1=%s"%case1 |
148 | else: |
149 | raise ValueError,"unknown case0=%s"%case0 |
150 | return case |
151 | |
152 | |
153 | def makeArray(shape,rng): |
154 | l=rng[1]-rng[0] |
155 | out=numarray.zeros(shape,numarray.Float64) |
156 | if len(shape)==0: |
157 | out=l*random.random()+rng[0] |
158 | elif len(shape)==1: |
159 | for i0 in range(shape[0]): |
160 | out[i0]=l*random.random()+rng[0] |
161 | elif len(shape)==2: |
162 | for i0 in range(shape[0]): |
163 | for i1 in range(shape[1]): |
164 | out[i0,i1]=l*random.random()+rng[0] |
165 | elif len(shape)==3: |
166 | for i0 in range(shape[0]): |
167 | for i1 in range(shape[1]): |
168 | for i2 in range(shape[2]): |
169 | out[i0,i1,i2]=l*random.random()+rng[0] |
170 | elif len(shape)==4: |
171 | for i0 in range(shape[0]): |
172 | for i1 in range(shape[1]): |
173 | for i2 in range(shape[2]): |
174 | for i3 in range(shape[3]): |
175 | out[i0,i1,i2,i3]=l*random.random()+rng[0] |
176 | elif len(shape)==5: |
177 | for i0 in range(shape[0]): |
178 | for i1 in range(shape[1]): |
179 | for i2 in range(shape[2]): |
180 | for i3 in range(shape[3]): |
181 | for i4 in range(shape[4]): |
182 | out[i0,i1,i2,i3,i4]=l*random.random()+rng[0] |
183 | else: |
184 | raise SystemError,"rank is restricted to 5" |
185 | return out |
186 | |
187 | def makeNumberedArray(shape,s=1.): |
188 | out=numarray.zeros(shape,numarray.Float64) |
189 | if len(shape)==0: |
190 | out=s*1. |
191 | elif len(shape)==1: |
192 | for i0 in range(shape[0]): |
193 | out[i0]=s*i0 |
194 | elif len(shape)==2: |
195 | for i0 in range(shape[0]): |
196 | for i1 in range(shape[1]): |
197 | out[i0,i1]=s*(i1+shape[1]*i0) |
198 | elif len(shape)==3: |
199 | for i0 in range(shape[0]): |
200 | for i1 in range(shape[1]): |
201 | for i2 in range(shape[2]): |
202 | out[i0,i1,i2]=s*(i2+shape[2]*i1+shape[2]*shape[1]*i0) |
203 | elif len(shape)==4: |
204 | for i0 in range(shape[0]): |
205 | for i1 in range(shape[1]): |
206 | for i2 in range(shape[2]): |
207 | for i3 in range(shape[3]): |
208 | out[i0,i1,i2,i3]=s*(i3+shape[3]*i2+shape[3]*shape[2]*i1+shape[3]*shape[2]*shape[1]*i0) |
209 | else: |
210 | raise SystemError,"rank is restricted to 4" |
211 | return out |
212 | |
213 | def makeResult(val,test_expr): |
214 | if isinstance(val,float): |
215 | out=eval(test_expr.replace("%a1%","val")) |
216 | elif len(val.shape)==0: |
217 | out=eval(test_expr.replace("%a1%","val")) |
218 | elif len(val.shape)==1: |
219 | out=numarray.zeros(val.shape,numarray.Float64) |
220 | for i0 in range(val.shape[0]): |
221 | out[i0]=eval(test_expr.replace("%a1%","val[i0]")) |
222 | elif len(val.shape)==2: |
223 | out=numarray.zeros(val.shape,numarray.Float64) |
224 | for i0 in range(val.shape[0]): |
225 | for i1 in range(val.shape[1]): |
226 | out[i0,i1]=eval(test_expr.replace("%a1%","val[i0,i1]")) |
227 | elif len(val.shape)==3: |
228 | out=numarray.zeros(val.shape,numarray.Float64) |
229 | for i0 in range(val.shape[0]): |
230 | for i1 in range(val.shape[1]): |
231 | for i2 in range(val.shape[2]): |
232 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val[i0,i1,i2]")) |
233 | elif len(val.shape)==4: |
234 | out=numarray.zeros(val.shape,numarray.Float64) |
235 | for i0 in range(val.shape[0]): |
236 | for i1 in range(val.shape[1]): |
237 | for i2 in range(val.shape[2]): |
238 | for i3 in range(val.shape[3]): |
239 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val[i0,i1,i2,i3]")) |
240 | else: |
241 | raise SystemError,"rank is restricted to 4" |
242 | return out |
243 | |
244 | def makeResult2(val0,val1,test_expr): |
245 | if isinstance(val0,float): |
246 | if isinstance(val1,float): |
247 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
248 | elif len(val1.shape)==0: |
249 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
250 | elif len(val1.shape)==1: |
251 | out=numarray.zeros(val1.shape,numarray.Float64) |
252 | for i0 in range(val1.shape[0]): |
253 | out[i0]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0]")) |
254 | elif len(val1.shape)==2: |
255 | out=numarray.zeros(val1.shape,numarray.Float64) |
256 | for i0 in range(val1.shape[0]): |
257 | for i1 in range(val1.shape[1]): |
258 | out[i0,i1]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1]")) |
259 | elif len(val1.shape)==3: |
260 | out=numarray.zeros(val1.shape,numarray.Float64) |
261 | for i0 in range(val1.shape[0]): |
262 | for i1 in range(val1.shape[1]): |
263 | for i2 in range(val1.shape[2]): |
264 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2]")) |
265 | elif len(val1.shape)==4: |
266 | out=numarray.zeros(val1.shape,numarray.Float64) |
267 | for i0 in range(val1.shape[0]): |
268 | for i1 in range(val1.shape[1]): |
269 | for i2 in range(val1.shape[2]): |
270 | for i3 in range(val1.shape[3]): |
271 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2,i3]")) |
272 | else: |
273 | raise SystemError,"rank of val1 is restricted to 4" |
274 | elif len(val0.shape)==0: |
275 | if isinstance(val1,float): |
276 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
277 | elif len(val1.shape)==0: |
278 | out=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1")) |
279 | elif len(val1.shape)==1: |
280 | out=numarray.zeros(val1.shape,numarray.Float64) |
281 | for i0 in range(val1.shape[0]): |
282 | out[i0]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0]")) |
283 | elif len(val1.shape)==2: |
284 | out=numarray.zeros(val1.shape,numarray.Float64) |
285 | for i0 in range(val1.shape[0]): |
286 | for i1 in range(val1.shape[1]): |
287 | out[i0,i1]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1]")) |
288 | elif len(val1.shape)==3: |
289 | out=numarray.zeros(val1.shape,numarray.Float64) |
290 | for i0 in range(val1.shape[0]): |
291 | for i1 in range(val1.shape[1]): |
292 | for i2 in range(val1.shape[2]): |
293 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2]")) |
294 | elif len(val1.shape)==4: |
295 | out=numarray.zeros(val1.shape,numarray.Float64) |
296 | for i0 in range(val1.shape[0]): |
297 | for i1 in range(val1.shape[1]): |
298 | for i2 in range(val1.shape[2]): |
299 | for i3 in range(val1.shape[3]): |
300 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0").replace("%a2%","val1[i0,i1,i2,i3]")) |
301 | else: |
302 | raise SystemError,"rank of val1 is restricted to 4" |
303 | elif len(val0.shape)==1: |
304 | if isinstance(val1,float): |
305 | out=numarray.zeros(val0.shape,numarray.Float64) |
306 | for i0 in range(val0.shape[0]): |
307 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1")) |
308 | elif len(val1.shape)==0: |
309 | out=numarray.zeros(val0.shape,numarray.Float64) |
310 | for i0 in range(val0.shape[0]): |
311 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1")) |
312 | elif len(val1.shape)==1: |
313 | out=numarray.zeros(val0.shape,numarray.Float64) |
314 | for i0 in range(val0.shape[0]): |
315 | out[i0]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0]")) |
316 | elif len(val1.shape)==2: |
317 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) |
318 | for i0 in range(val0.shape[0]): |
319 | for j1 in range(val1.shape[1]): |
320 | out[i0,j1]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1]")) |
321 | elif len(val1.shape)==3: |
322 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) |
323 | for i0 in range(val0.shape[0]): |
324 | for j1 in range(val1.shape[1]): |
325 | for j2 in range(val1.shape[2]): |
326 | out[i0,j1,j2]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1,j2]")) |
327 | elif len(val1.shape)==4: |
328 | out=numarray.zeros(val0.shape+val1.shape[1:],numarray.Float64) |
329 | for i0 in range(val0.shape[0]): |
330 | for j1 in range(val1.shape[1]): |
331 | for j2 in range(val1.shape[2]): |
332 | for j3 in range(val1.shape[3]): |
333 | out[i0,j1,j2,j3]=eval(test_expr.replace("%a1%","val0[i0]").replace("%a2%","val1[i0,j1,j2,j3]")) |
334 | else: |
335 | raise SystemError,"rank of val1 is restricted to 4" |
336 | elif len(val0.shape)==2: |
337 | if isinstance(val1,float): |
338 | out=numarray.zeros(val0.shape,numarray.Float64) |
339 | for i0 in range(val0.shape[0]): |
340 | for i1 in range(val0.shape[1]): |
341 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1")) |
342 | elif len(val1.shape)==0: |
343 | out=numarray.zeros(val0.shape,numarray.Float64) |
344 | for i0 in range(val0.shape[0]): |
345 | for i1 in range(val0.shape[1]): |
346 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1")) |
347 | elif len(val1.shape)==1: |
348 | out=numarray.zeros(val0.shape,numarray.Float64) |
349 | for i0 in range(val0.shape[0]): |
350 | for i1 in range(val0.shape[1]): |
351 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0]")) |
352 | elif len(val1.shape)==2: |
353 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
354 | for i0 in range(val0.shape[0]): |
355 | for i1 in range(val0.shape[1]): |
356 | out[i0,i1]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1]")) |
357 | elif len(val1.shape)==3: |
358 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
359 | for i0 in range(val0.shape[0]): |
360 | for i1 in range(val0.shape[1]): |
361 | for j2 in range(val1.shape[2]): |
362 | out[i0,i1,j2]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1,j2]")) |
363 | elif len(val1.shape)==4: |
364 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
365 | for i0 in range(val0.shape[0]): |
366 | for i1 in range(val0.shape[1]): |
367 | for j2 in range(val1.shape[2]): |
368 | for j3 in range(val1.shape[3]): |
369 | out[i0,i1,j2,j3]=eval(test_expr.replace("%a1%","val0[i0,i1]").replace("%a2%","val1[i0,i1,j2,j3]")) |
370 | else: |
371 | raise SystemError,"rank of val1 is restricted to 4" |
372 | elif len(val0.shape)==3: |
373 | if isinstance(val1,float): |
374 | out=numarray.zeros(val0.shape,numarray.Float64) |
375 | for i0 in range(val0.shape[0]): |
376 | for i1 in range(val0.shape[1]): |
377 | for i2 in range(val0.shape[2]): |
378 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1")) |
379 | elif len(val1.shape)==0: |
380 | out=numarray.zeros(val0.shape,numarray.Float64) |
381 | for i0 in range(val0.shape[0]): |
382 | for i1 in range(val0.shape[1]): |
383 | for i2 in range(val0.shape[2]): |
384 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1")) |
385 | elif len(val1.shape)==1: |
386 | out=numarray.zeros(val0.shape,numarray.Float64) |
387 | for i0 in range(val0.shape[0]): |
388 | for i1 in range(val0.shape[1]): |
389 | for i2 in range(val0.shape[2]): |
390 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0]")) |
391 | elif len(val1.shape)==2: |
392 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
393 | for i0 in range(val0.shape[0]): |
394 | for i1 in range(val0.shape[1]): |
395 | for i2 in range(val0.shape[2]): |
396 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1]")) |
397 | elif len(val1.shape)==3: |
398 | out=numarray.zeros(val0.shape,numarray.Float64) |
399 | for i0 in range(val0.shape[0]): |
400 | for i1 in range(val0.shape[1]): |
401 | for i2 in range(val0.shape[2]): |
402 | out[i0,i1,i2]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1,i2]")) |
403 | elif len(val1.shape)==4: |
404 | out=numarray.zeros(val0.shape+val1.shape[3:],numarray.Float64) |
405 | for i0 in range(val0.shape[0]): |
406 | for i1 in range(val0.shape[1]): |
407 | for i2 in range(val0.shape[2]): |
408 | for j3 in range(val1.shape[3]): |
409 | out[i0,i1,i2,j3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2]").replace("%a2%","val1[i0,i1,i2,j3]")) |
410 | else: |
411 | raise SystemError,"rank of val1 is rargs[1]estricted to 4" |
412 | elif len(val0.shape)==4: |
413 | if isinstance(val1,float): |
414 | out=numarray.zeros(val0.shape,numarray.Float64) |
415 | for i0 in range(val0.shape[0]): |
416 | for i1 in range(val0.shape[1]): |
417 | for i2 in range(val0.shape[2]): |
418 | for i3 in range(val0.shape[3]): |
419 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1")) |
420 | elif len(val1.shape)==0: |
421 | out=numarray.zeros(val0.shape,numarray.Float64) |
422 | for i0 in range(val0.shape[0]): |
423 | for i1 in range(val0.shape[1]): |
424 | for i2 in range(val0.shape[2]): |
425 | for i3 in range(val0.shape[3]): |
426 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1")) |
427 | elif len(val1.shape)==1: |
428 | out=numarray.zeros(val0.shape,numarray.Float64) |
429 | for i0 in range(val0.shape[0]): |
430 | for i1 in range(val0.shape[1]): |
431 | for i2 in range(val0.shape[2]): |
432 | for i3 in range(val0.shape[3]): |
433 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0]")) |
434 | elif len(val1.shape)==2: |
435 | out=numarray.zeros(val0.shape+val1.shape[2:],numarray.Float64) |
436 | for i0 in range(val0.shape[0]): |
437 | for i1 in range(val0.shape[1]): |
438 | for i2 in range(val0.shape[2]): |
439 | for i3 in range(val0.shape[3]): |
440 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1]")) |
441 | elif len(val1.shape)==3: |
442 | out=numarray.zeros(val0.shape,numarray.Float64) |
443 | for i0 in range(val0.shape[0]): |
444 | for i1 in range(val0.shape[1]): |
445 | for i2 in range(val0.shape[2]): |
446 | for i3 in range(val0.shape[3]): |
447 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1,i2]")) |
448 | elif len(val1.shape)==4: |
449 | out=numarray.zeros(val0.shape,numarray.Float64) |
450 | for i0 in range(val0.shape[0]): |
451 | for i1 in range(val0.shape[1]): |
452 | for i2 in range(val0.shape[2]): |
453 | for i3 in range(val0.shape[3]): |
454 | out[i0,i1,i2,i3]=eval(test_expr.replace("%a1%","val0[i0,i1,i2,i3]").replace("%a2%","val1[i0,i1,i2,i3]")) |
455 | else: |
456 | raise SystemError,"rank of val1 is restricted to 4" |
457 | else: |
458 | raise SystemError,"rank is restricted to 4" |
459 | return out |
460 | |
461 | |
462 | def mkText(case,name,a,a1=None,use_tagging_for_expanded_data=False): |
463 | t_out="" |
464 | if case=="float": |
465 | if isinstance(a,float): |
466 | t_out+=" %s=%s\n"%(name,a) |
467 | elif a.rank==0: |
468 | t_out+=" %s=%s\n"%(name,a) |
469 | else: |
470 | t_out+=" %s=numarray.array(%s)\n"%(name,a.tolist()) |
471 | elif case=="array": |
472 | if isinstance(a,float): |
473 | t_out+=" %s=numarray.array(%s)\n"%(name,a) |
474 | elif a.rank==0: |
475 | t_out+=" %s=numarray.array(%s)\n"%(name,a) |
476 | else: |
477 | t_out+=" %s=numarray.array(%s)\n"%(name,a.tolist()) |
478 | elif case=="constData": |
479 | if isinstance(a,float): |
480 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
481 | elif a.rank==0: |
482 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
483 | else: |
484 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) |
485 | elif case=="taggedData": |
486 | if isinstance(a,float): |
487 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
488 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
489 | elif a.rank==0: |
490 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
491 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
492 | else: |
493 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) |
494 | t_out+=" %s.setTaggedValue(1,numarray.array(%s))\n"%(name,a1.tolist()) |
495 | elif case=="expandedData": |
496 | if use_tagging_for_expanded_data: |
497 | if isinstance(a,float): |
498 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
499 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
500 | elif a.rank==0: |
501 | t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
502 | t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
503 | else: |
504 | t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) |
505 | t_out+=" %s.setTaggedValue(1,numarray.array(%s))\n"%(name,a1.tolist()) |
506 | t_out+=" %s.expand()\n"%name |
507 | else: |
508 | t_out+=" msk_%s=whereNegative(self.functionspace.getX()[0]-0.5)\n"%name |
509 | if isinstance(a,float): |
510 | t_out+=" %s=msk_%s*(%s)+(1.-msk_%s)*(%s)\n"%(name,name,a,name,a1) |
511 | elif a.rank==0: |
512 | t_out+=" %s=msk_%s*numarray.array(%s)+(1.-msk_%s)*numarray.array(%s)\n"%(name,name,a,name,a1) |
513 | else: |
514 | t_out+=" %s=msk_%s*numarray.array(%s)+(1.-msk_%s)*numarray.array(%s)\n"%(name,name,a.tolist(),name,a1.tolist()) |
515 | elif case=="Symbol": |
516 | if isinstance(a,float): |
517 | t_out+=" %s=Symbol(shape=())\n"%(name) |
518 | elif a.rank==0: |
519 | t_out+=" %s=Symbol(shape=())\n"%(name) |
520 | else: |
521 | t_out+=" %s=Symbol(shape=%s)\n"%(name,str(a.shape)) |
522 | |
523 | return t_out |
524 | |
525 | def mkTypeAndShapeTest(case,sh,argstr): |
526 | text="" |
527 | if case=="float": |
528 | text+=" self.failUnless(isinstance(%s,float),\"wrong type of result.\")\n"%argstr |
529 | elif case=="array": |
530 | text+=" self.failUnless(isinstance(%s,numarray.NumArray),\"wrong type of result.\")\n"%argstr |
531 | text+=" self.failUnlessEqual(%s.shape,%s,\"wrong shape of result.\")\n"%(argstr,str(sh)) |
532 | elif case in ["constData","taggedData","expandedData"]: |
533 | text+=" self.failUnless(isinstance(%s,Data),\"wrong type of result.\")\n"%argstr |
534 | text+=" self.failUnlessEqual(%s.getShape(),%s,\"wrong shape of result.\")\n"%(argstr,str(sh)) |
535 | elif case=="Symbol": |
536 | text+=" self.failUnless(isinstance(%s,Symbol),\"wrong type of result.\")\n"%argstr |
537 | text+=" self.failUnlessEqual(%s.getShape(),%s,\"wrong shape of result.\")\n"%(argstr,str(sh)) |
538 | return text |
539 | |
540 | def mkCode(txt,args=[],intend=""): |
541 | s=txt.split("\n") |
542 | if len(s)>1: |
543 | out="" |
544 | for l in s: |
545 | out+=intend+l+"\n" |
546 | else: |
547 | out="%sreturn %s\n"%(intend,txt) |
548 | c=1 |
549 | for r in args: |
550 | out=out.replace("%%a%s%%"%c,r) |
551 | return out |
552 | #======================================================================================================= |
553 | # nonsymmetric part |
554 | #======================================================================================================= |
555 | from esys.escript import * |
556 | for name in ["symmetric", "nonsymmetric"]: |
557 | f=1. |
558 | if name=="nonsymmetric": f=-1 |
559 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
560 | for sh0 in [ (3,3), (2,3,2,3)]: |
561 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
562 | tname="test_%s_%s_rank%s"%(name,case0,len(sh0)) |
563 | text+=" def %s(self):\n"%tname |
564 | a_0=makeNumberedArray(sh0,s=1.) |
565 | r_0=(a_0+f*transpose(a_0))/2. |
566 | if case0 in ["taggedData", "expandedData"]: |
567 | a1_0=makeNumberedArray(sh0,s=-1.) |
568 | r1_0=(a1_0+f*transpose(a1_0))/2. |
569 | else: |
570 | a1_0=a_0 |
571 | r1_0=r_0 |
572 | text+=mkText(case0,"arg",a_0,a1_0) |
573 | text+=" res=%s(arg)\n"%name |
574 | if case0=="Symbol": |
575 | text+=mkText("array","s",a_0,a1_0) |
576 | text+=" sub=res.substitute({arg:s})\n" |
577 | res="sub" |
578 | text+=mkText("array","ref",r_0,r1_0) |
579 | else: |
580 | res="res" |
581 | text+=mkText(case0,"ref",r_0,r1_0) |
582 | text+=mkTypeAndShapeTest(case0,sh0,"res") |
583 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
584 | |
585 | if case0 == "taggedData" : |
586 | t_prog_with_tags+=text |
587 | else: |
588 | t_prog+=text |
589 | print test_header |
590 | print t_prog |
591 | # print t_prog_with_tags |
592 | print test_tail |
593 | 1/0 |
594 | |
595 | #======================================================================================================= |
596 | # eigenvalues |
597 | #======================================================================================================= |
598 | import numarray.linear_algebra |
599 | name="eigenvalues" |
600 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
601 | for sh0 in [ (1,1), (2,2), (3,3)]: |
602 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
603 | tname="test_%s_%s_dim%s"%(name,case0,sh0[0]) |
604 | text+=" def %s(self):\n"%tname |
605 | a_0=makeArray(sh0,[-1.,1]) |
606 | a_0=(a_0+numarray.transpose(a_0))/2. |
607 | ev=numarray.linear_algebra.eigenvalues(a_0) |
608 | ev.sort() |
609 | if case0 in ["taggedData", "expandedData"]: |
610 | a1_0=makeArray(sh0,[-1.,1]) |
611 | a1_0=(a1_0+numarray.transpose(a1_0))/2. |
612 | ev1=numarray.linear_algebra.eigenvalues(a1_0) |
613 | ev1.sort() |
614 | else: |
615 | a1_0=a_0 |
616 | ev1=ev |
617 | text+=mkText(case0,"arg",a_0,a1_0) |
618 | text+=" res=%s(arg)\n"%name |
619 | if case0=="Symbol": |
620 | text+=mkText("array","s",a_0,a1_0) |
621 | text+=" sub=res.substitute({arg:s})\n" |
622 | res="sub" |
623 | text+=mkText("array","ref",ev,ev1) |
624 | else: |
625 | res="res" |
626 | text+=mkText(case0,"ref",ev,ev1) |
627 | text+=mkTypeAndShapeTest(case0,(sh0[0],),"res") |
628 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
629 | |
630 | if case0 == "taggedData" : |
631 | t_prog_with_tags+=text |
632 | else: |
633 | t_prog+=text |
634 | print test_header |
635 | # print t_prog |
636 | print t_prog_with_tags |
637 | print test_tail |
638 | 1/0 |
639 | |
640 | #======================================================================================================= |
641 | # slicing |
642 | #======================================================================================================= |
643 | for case0 in ["constData","taggedData","expandedData","Symbol"]: |
644 | for sh0 in [ (3,), (3,4), (3,4,3) ,(4,3,5,3)]: |
645 | # get perm: |
646 | if len(sh0)==2: |
647 | check=[[1,0]] |
648 | elif len(sh0)==3: |
649 | check=[[1,0,2], |
650 | [1,2,0], |
651 | [2,1,0], |
652 | [2,0,2], |
653 | [0,2,1]] |
654 | elif len(sh0)==4: |
655 | check=[[0,1,3,2], |
656 | [0,2,1,3], |
657 | [0,2,3,1], |
658 | [0,3,2,1], |
659 | [0,3,1,2] , |
660 | [1,0,2,3], |
661 | [1,0,3,2], |
662 | [1,2,0,3], |
663 | [1,2,3,0], |
664 | [1,3,2,0], |
665 | [1,3,0,2], |
666 | [2,0,1,3], |
667 | [2,0,3,1], |
668 | [2,1,0,3], |
669 | [2,1,3,0], |
670 | [2,3,1,0], |
671 | [2,3,0,1], |
672 | [3,0,1,2], |
673 | [3,0,2,1], |
674 | [3,1,0,2], |
675 | [3,1,2,0], |
676 | [3,2,1,0], |
677 | [3,2,0,1]] |
678 | else: |
679 | check=[] |
680 | |
681 | # create the test cases: |
682 | processed=[] |
683 | l=["R","U","L","P","C","N"] |
684 | c=[""] |
685 | for i in range(len(sh0)): |
686 | tmp=[] |
687 | for ci in c: |
688 | tmp+=[ci+li for li in l] |
689 | c=tmp |
690 | # SHUFFLE |
691 | c2=[] |
692 | while len(c)>0: |
693 | i=int(random.random()*len(c)) |
694 | c2.append(c[i]) |
695 | del c[i] |
696 | c=c2 |
697 | for ci in c: |
698 | t="" |
699 | sh=() |
700 | for i in range(len(ci)): |
701 | if ci[i]=="R": |
702 | s="%s:%s"%(1,sh0[i]-1) |
703 | sh=sh+(sh0[i]-2,) |
704 | if ci[i]=="U": |
705 | s=":%s"%(sh0[i]-1) |
706 | sh=sh+(sh0[i]-1,) |
707 | if ci[i]=="L": |
708 | s="2:" |
709 | sh=sh+(sh0[i]-2,) |
710 | if ci[i]=="P": |
711 | s="%s"%(int(sh0[i]/2)) |
712 | if ci[i]=="C": |
713 | s=":" |
714 | sh=sh+(sh0[i],) |
715 | if ci[i]=="N": |
716 | s="" |
717 | sh=sh+(sh0[i],) |
718 | if len(s)>0: |
719 | if not t=="": t+="," |
720 | t+=s |
721 | N_found=False |
722 | noN_found=False |
723 | process=len(t)>0 |
724 | for i in ci: |
725 | if i=="N": |
726 | if not noN_found and N_found: process=False |
727 | N_found=True |
728 | else: |
729 | if N_found: process=False |
730 | noNfound=True |
731 | # is there a similar one processed allready |
732 | if process and ci.find("N")==-1: |
733 | for ci2 in processed: |
734 | for chi in check: |
735 | is_perm=True |
736 | for i in range(len(chi)): |
737 | if not ci[i]==ci2[chi[i]]: is_perm=False |
738 | if is_perm: process=False |
739 | # if not process: print ci," rejected" |
740 | if process: |
741 | processed.append(ci) |
742 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
743 | tname="test_getslice_%s_rank%s_%s"%(case0,len(sh0),ci) |
744 | text+=" def %s(self):\n"%tname |
745 | a_0=makeNumberedArray(sh0,s=1) |
746 | if case0 in ["taggedData", "expandedData"]: |
747 | a1_0=makeNumberedArray(sh0,s=-1.) |
748 | else: |
749 | a1_0=a_0 |
750 | r=eval("a_0[%s]"%t) |
751 | r1=eval("a1_0[%s]"%t) |
752 | text+=mkText(case0,"arg",a_0,a1_0) |
753 | text+=" res=arg[%s]\n"%t |
754 | if case0=="Symbol": |
755 | text+=mkText("array","s",a_0,a1_0) |
756 | text+=" sub=res.substitute({arg:s})\n" |
757 | res="sub" |
758 | text+=mkText("array","ref",r,r1) |
759 | else: |
760 | res="res" |
761 | text+=mkText(case0,"ref",r,r1) |
762 | text+=mkTypeAndShapeTest(case0,sh,"res") |
763 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
764 | |
765 | if case0 == "taggedData" : |
766 | t_prog_with_tags+=text |
767 | else: |
768 | t_prog+=text |
769 | |
770 | print test_header |
771 | # print t_prog |
772 | print t_prog_with_tags |
773 | print test_tail |
774 | 1/0 |
775 | #============================================================================================ |
776 | def innerTEST(arg0,arg1): |
777 | if isinstance(arg0,float): |
778 | out=numarray.array(arg0*arg1) |
779 | else: |
780 | out=(arg0*arg1).sum() |
781 | return out |
782 | |
783 | def outerTEST(arg0,arg1): |
784 | if isinstance(arg0,float): |
785 | out=numarray.array(arg0*arg1) |
786 | elif isinstance(arg1,float): |
787 | out=numarray.array(arg0*arg1) |
788 | else: |
789 | out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape) |
790 | return out |
791 | |
792 | def tensorProductTest(arg0,arg1,sh_s): |
793 | if isinstance(arg0,float): |
794 | out=numarray.array(arg0*arg1) |
795 | elif isinstance(arg1,float): |
796 | out=numarray.array(arg0*arg1) |
797 | elif len(sh_s)==0: |
798 | out=numarray.outerproduct(arg0,arg1).resize(arg0.shape+arg1.shape) |
799 | else: |
800 | l=len(sh_s) |
801 | sh0=arg0.shape[:arg0.rank-l] |
802 | sh1=arg1.shape[l:] |
803 | ls,l0,l1=1,1,1 |
804 | for i in sh_s: ls*=i |
805 | for i in sh0: l0*=i |
806 | for i in sh1: l1*=i |
807 | out1=numarray.outerproduct(arg0,arg1).resize((l0,ls,ls,l1)) |
808 | out2=numarray.zeros((l0,l1),numarray.Float) |
809 | for i0 in range(l0): |
810 | for i1 in range(l1): |
811 | for i in range(ls): out2[i0,i1]+=out1[i0,i,i,i1] |
812 | out=out2.resize(sh0+sh1) |
813 | return out |
814 | |
815 | def testMatrixMult(arg0,arg1,sh_s): |
816 | return numarray.matrixmultiply(arg0,arg1) |
817 | |
818 | |
819 | def testTensorMult(arg0,arg1,sh_s): |
820 | if len(arg0)==2: |
821 | return numarray.matrixmultiply(arg0,arg1) |
822 | else: |
823 | if arg1.rank==4: |
824 | out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[2],arg1.shape[3]),numarray.Float) |
825 | for i0 in range(arg0.shape[0]): |
826 | for i1 in range(arg0.shape[1]): |
827 | for i2 in range(arg0.shape[2]): |
828 | for i3 in range(arg0.shape[3]): |
829 | for j2 in range(arg1.shape[2]): |
830 | for j3 in range(arg1.shape[3]): |
831 | out[i0,i1,j2,j3]+=arg0[i0,i1,i2,i3]*arg1[i2,i3,j2,j3] |
832 | elif arg1.rank==3: |
833 | out=numarray.zeros((arg0.shape[0],arg0.shape[1],arg1.shape[2]),numarray.Float) |
834 | for i0 in range(arg0.shape[0]): |
835 | for i1 in range(arg0.shape[1]): |
836 | for i2 in range(arg0.shape[2]): |
837 | for i3 in range(arg0.shape[3]): |
838 | for j2 in range(arg1.shape[2]): |
839 | out[i0,i1,j2]+=arg0[i0,i1,i2,i3]*arg1[i2,i3,j2] |
840 | elif arg1.rank==2: |
841 | out=numarray.zeros((arg0.shape[0],arg0.shape[1]),numarray.Float) |
842 | for i0 in range(arg0.shape[0]): |
843 | for i1 in range(arg0.shape[1]): |
844 | for i2 in range(arg0.shape[2]): |
845 | for i3 in range(arg0.shape[3]): |
846 | out[i0,i1]+=arg0[i0,i1,i2,i3]*arg1[i2,i3] |
847 | return out |
848 | |
849 | def testReduce(arg0,init_val,test_expr,post_expr): |
850 | out=init_val |
851 | if isinstance(arg0,float): |
852 | out=eval(test_expr.replace("%a1%","arg0")) |
853 | elif arg0.rank==0: |
854 | out=eval(test_expr.replace("%a1%","arg0")) |
855 | elif arg0.rank==1: |
856 | for i0 in range(arg0.shape[0]): |
857 | out=eval(test_expr.replace("%a1%","arg0[i0]")) |
858 | elif arg0.rank==2: |
859 | for i0 in range(arg0.shape[0]): |
860 | for i1 in range(arg0.shape[1]): |
861 | out=eval(test_expr.replace("%a1%","arg0[i0,i1]")) |
862 | elif arg0.rank==3: |
863 | for i0 in range(arg0.shape[0]): |
864 | for i1 in range(arg0.shape[1]): |
865 | for i2 in range(arg0.shape[2]): |
866 | out=eval(test_expr.replace("%a1%","arg0[i0,i1,i2]")) |
867 | elif arg0.rank==4: |
868 | for i0 in range(arg0.shape[0]): |
869 | for i1 in range(arg0.shape[1]): |
870 | for i2 in range(arg0.shape[2]): |
871 | for i3 in range(arg0.shape[3]): |
872 | out=eval(test_expr.replace("%a1%","arg0[i0,i1,i2,i3]")) |
873 | return eval(post_expr) |
874 | |
875 | def clipTEST(arg0,mn,mx): |
876 | if isinstance(arg0,float): |
877 | return max(min(arg0,mx),mn) |
878 | out=numarray.zeros(arg0.shape,numarray.Float64) |
879 | if arg0.rank==1: |
880 | for i0 in range(arg0.shape[0]): |
881 | out[i0]=max(min(arg0[i0],mx),mn) |
882 | elif arg0.rank==2: |
883 | for i0 in range(arg0.shape[0]): |
884 | for i1 in range(arg0.shape[1]): |
885 | out[i0,i1]=max(min(arg0[i0,i1],mx),mn) |
886 | elif arg0.rank==3: |
887 | for i0 in range(arg0.shape[0]): |
888 | for i1 in range(arg0.shape[1]): |
889 | for i2 in range(arg0.shape[2]): |
890 | out[i0,i1,i2]=max(min(arg0[i0,i1,i2],mx),mn) |
891 | elif arg0.rank==4: |
892 | for i0 in range(arg0.shape[0]): |
893 | for i1 in range(arg0.shape[1]): |
894 | for i2 in range(arg0.shape[2]): |
895 | for i3 in range(arg0.shape[3]): |
896 | out[i0,i1,i2,i3]=max(min(arg0[i0,i1,i2,i3],mx),mn) |
897 | return out |
898 | def minimumTEST(arg0,arg1): |
899 | if isinstance(arg0,float): |
900 | if isinstance(arg1,float): |
901 | if arg0>arg1: |
902 | return arg1 |
903 | else: |
904 | return arg0 |
905 | else: |
906 | arg0=numarray.ones(arg1.shape)*arg0 |
907 | else: |
908 | if isinstance(arg1,float): |
909 | arg1=numarray.ones(arg0.shape)*arg1 |
910 | out=numarray.zeros(arg0.shape,numarray.Float64) |
911 | if arg0.rank==0: |
912 | if arg0>arg1: |
913 | out=arg1 |
914 | else: |
915 | out=arg0 |
916 | elif arg0.rank==1: |
917 | for i0 in range(arg0.shape[0]): |
918 | if arg0[i0]>arg1[i0]: |
919 | out[i0]=arg1[i0] |
920 | else: |
921 | out[i0]=arg0[i0] |
922 | elif arg0.rank==2: |
923 | for i0 in range(arg0.shape[0]): |
924 | for i1 in range(arg0.shape[1]): |
925 | if arg0[i0,i1]>arg1[i0,i1]: |
926 | out[i0,i1]=arg1[i0,i1] |
927 | else: |
928 | out[i0,i1]=arg0[i0,i1] |
929 | elif arg0.rank==3: |
930 | for i0 in range(arg0.shape[0]): |
931 | for i1 in range(arg0.shape[1]): |
932 | for i2 in range(arg0.shape[2]): |
933 | if arg0[i0,i1,i2]>arg1[i0,i1,i2]: |
934 | out[i0,i1,i2]=arg1[i0,i1,i2] |
935 | else: |
936 | out[i0,i1,i2]=arg0[i0,i1,i2] |
937 | elif arg0.rank==4: |
938 | for i0 in range(arg0.shape[0]): |
939 | for i1 in range(arg0.shape[1]): |
940 | for i2 in range(arg0.shape[2]): |
941 | for i3 in range(arg0.shape[3]): |
942 | if arg0[i0,i1,i2,i3]>arg1[i0,i1,i2,i3]: |
943 | out[i0,i1,i2,i3]=arg1[i0,i1,i2,i3] |
944 | else: |
945 | out[i0,i1,i2,i3]=arg0[i0,i1,i2,i3] |
946 | return out |
947 | |
948 | def unrollLoops(a,b,o,arg,tap="",x="x"): |
949 | out="" |
950 | if a.rank==1: |
951 | z="" |
952 | for i99 in range(a.shape[0]): |
953 | if not z=="": z+="+" |
954 | if o=="1": |
955 | z+="(%s)*%s[%s]"%(a[i99]+b[i99],x,i99) |
956 | else: |
957 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i99],x,i99,b[i99],x,i99) |
958 | |
959 | out+=tap+"%s=%s\n"%(arg,z) |
960 | |
961 | elif a.rank==2: |
962 | for i0 in range(a.shape[0]): |
963 | z="" |
964 | for i99 in range(a.shape[1]): |
965 | if not z=="": z+="+" |
966 | if o=="1": |
967 | z+="(%s)*x[%s]"%(a[i0,i99]+b[i0,i99],i99) |
968 | else: |
969 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i99],x,i99,b[i0,i99],x,i99) |
970 | |
971 | out+=tap+"%s[%s]=%s\n"%(arg,i0,z) |
972 | elif a.rank==3: |
973 | for i0 in range(a.shape[0]): |
974 | for i1 in range(a.shape[1]): |
975 | z="" |
976 | for i99 in range(a.shape[2]): |
977 | if not z=="": z+="+" |
978 | if o=="1": |
979 | z+="(%s)*%s[%s]"%(a[i0,i1,i99]+b[i0,i1,i99],x,i99) |
980 | else: |
981 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i99],x,i99,b[i0,i1,i99],x,i99) |
982 | |
983 | out+=tap+"%s[%s,%s]=%s\n"%(arg,i0,i1,z) |
984 | elif a.rank==4: |
985 | for i0 in range(a.shape[0]): |
986 | for i1 in range(a.shape[1]): |
987 | for i2 in range(a.shape[2]): |
988 | z="" |
989 | for i99 in range(a.shape[3]): |
990 | if not z=="": z+="+" |
991 | if o=="1": |
992 | z+="(%s)*%s[%s]"%(a[i0,i1,i2,i99]+b[i0,i1,i2,i99],x,i99) |
993 | else: |
994 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i2,i99],x,i99,b[i0,i1,i2,i99],x,i99) |
995 | |
996 | out+=tap+"%s[%s,%s,%s]=%s\n"%(arg,i0,i1,i2,z) |
997 | elif a.rank==5: |
998 | for i0 in range(a.shape[0]): |
999 | for i1 in range(a.shape[1]): |
1000 | for i2 in range(a.shape[2]): |
1001 | for i3 in range(a.shape[3]): |
1002 | z="" |
1003 | for i99 in range(a.shape[4]): |
1004 | if not z=="": z+="+" |
1005 | if o=="1": |
1006 | z+="(%s)*%s[%s]"%(a[i0,i1,i2,i3,i99]+b[i0,i1,i2,i3,i99],x,i99) |
1007 | else: |
1008 | z+="(%s)*%s[%s]**o+(%s)*%s[%s]"%(a[i0,i1,i2,i3,i99],x,i99,b[i0,i1,i2,i3,i99],x,i99) |
1009 | |
1010 | out+=tap+"%s[%s,%s,%s,%s]=%s\n"%(arg,i0,i1,i2,i3,z) |
1011 | return out |
1012 | |
1013 | def unrollLoopsOfGrad(a,b,o,arg,tap=""): |
1014 | out="" |
1015 | if a.rank==1: |
1016 | for i99 in range(a.shape[0]): |
1017 | if o=="1": |
1018 | out+=tap+"%s[%s]=(%s)\n"%(arg,i99,a[i99]+b[i99]) |
1019 | else: |
1020 | out+=tap+"%s[%s]=o*(%s)*x_ref[%s]**(o-1)+(%s)\n"%(arg,i99,a[i99],i99,b[i99]) |
1021 | |
1022 | elif a.rank==2: |
1023 | for i0 in range(a.shape[0]): |
1024 | for i99 in range(a.shape[1]): |
1025 | if o=="1": |
1026 | out+=tap+"%s[%s,%s]=(%s)\n"%(arg,i0,i99,a[i0,i99]+b[i0,i99]) |
1027 | else: |
1028 | out+=tap+"%s[%s,%s]=o*(%s)*x_ref[%s]**(o-1)+(%s)\n"%(arg,i0,i99,a[i0,i99],i99,b[i0,i99]) |
1029 | |
1030 | elif a.rank==3: |
1031 | for i0 in range(a.shape[0]): |
1032 | for i1 in range(a.shape[1]): |
1033 | for i99 in range(a.shape[2]): |
1034 | if o=="1": |
1035 | out+=tap+"%s[%s,%s,%s]=(%s)\n"%(arg,i0,i1,i99,a[i0,i1,i99]+b[i0,i1,i99]) |
1036 | else: |
1037 | 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]) |
1038 | |
1039 | elif a.rank==4: |
1040 | for i0 in range(a.shape[0]): |
1041 | for i1 in range(a.shape[1]): |
1042 | for i2 in range(a.shape[2]): |
1043 | for i99 in range(a.shape[3]): |
1044 | if o=="1": |
1045 | out+=tap+"%s[%s,%s,%s,%s]=(%s)\n"%(arg,i0,i1,i2,i99,a[i0,i1,i2,i99]+b[i0,i1,i2,i99]) |
1046 | else: |
1047 | 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]) |
1048 | return out |
1049 | def unrollLoopsOfDiv(a,b,o,arg,tap=""): |
1050 | out=tap+arg+"=" |
1051 | if o=="1": |
1052 | z=0. |
1053 | for i99 in range(a.shape[0]): |
1054 | z+=b[i99,i99]+a[i99,i99] |
1055 | out+="(%s)"%z |
1056 | else: |
1057 | z=0. |
1058 | for i99 in range(a.shape[0]): |
1059 | z+=b[i99,i99] |
1060 | if i99>0: out+="+" |
1061 | out+="o*(%s)*x_ref[%s]**(o-1)"%(a[i99,i99],i99) |
1062 | out+="+(%s)"%z |
1063 | return out |
1064 | |
1065 | def unrollLoopsOfInteriorIntegral(a,b,where,arg,tap=""): |
1066 | if where=="Function": |
1067 | xfac_o=1. |
1068 | xfac_op=0. |
1069 | z_fac=1./2. |
1070 | z_fac_s="" |
1071 | zo_fac_s="/(o+1.)" |
1072 | elif where=="FunctionOnBoundary": |
1073 | xfac_o=1. |
1074 | xfac_op=0. |
1075 | z_fac=1. |
1076 | z_fac_s="*dim" |
1077 | zo_fac_s="*(1+2.*(dim-1.)/(o+1.))" |
1078 | elif where in ["FunctionOnContactZero","FunctionOnContactOne"]: |
1079 | xfac_o=0. |
1080 | xfac_op=1. |
1081 | z_fac=1./2. |
1082 | z_fac_s="" |
1083 | zo_fac_s="/(o+1.)" |
1084 | out="" |
1085 | if a.rank==1: |
1086 | zo=0. |
1087 | zop=0. |
1088 | z=0. |
1089 | for i99 in range(a.shape[0]): |
1090 | if i99==0: |
1091 | zo+= xfac_o*a[i99] |
1092 | zop+= xfac_op*a[i99] |
1093 | else: |
1094 | zo+=a[i99] |
1095 | z+=b[i99] |
1096 | |
1097 | out+=tap+"%s=(%s)%s+(%s)%s"%(arg,zo,zo_fac_s,z*z_fac,z_fac_s) |
1098 | if zop==0.: |
1099 | out+="\n" |
1100 | else: |
1101 | out+="+(%s)*0.5**o\n"%zop |
1102 | elif a.rank==2: |
1103 | for i0 in range(a.shape[0]): |
1104 | zo=0. |
1105 | zop=0. |
1106 | z=0. |
1107 | for i99 in range(a.shape[1]): |
1108 | if i99==0: |
1109 | zo+= xfac_o*a[i0,i99] |
1110 | zop+= xfac_op*a[i0,i99] |
1111 | else: |
1112 | zo+=a[i0,i99] |
1113 | z+=b[i0,i99] |
1114 | |
1115 | out+=tap+"%s[%s]=(%s)%s+(%s)%s"%(arg,i0,zo,zo_fac_s,z*z_fac,z_fac_s) |
1116 | if zop==0.: |
1117 | out+="\n" |
1118 | else: |
1119 | out+="+(%s)*0.5**o\n"%zop |
1120 | elif a.rank==3: |
1121 | for i0 in range(a.shape[0]): |
1122 | for i1 in range(a.shape[1]): |
1123 | zo=0. |
1124 | zop=0. |
1125 | z=0. |
1126 | for i99 in range(a.shape[2]): |
1127 | if i99==0: |
1128 | zo+= xfac_o*a[i0,i1,i99] |
1129 | zop+= xfac_op*a[i0,i1,i99] |
1130 | else: |
1131 | zo+=a[i0,i1,i99] |
1132 | z+=b[i0,i1,i99] |
1133 | |
1134 | out+=tap+"%s[%s,%s]=(%s)%s+(%s)%s"%(arg,i0,i1,zo,zo_fac_s,z*z_fac,z_fac_s) |
1135 | if zop==0.: |
1136 | out+="\n" |
1137 | else: |
1138 | out+="+(%s)*0.5**o\n"%zop |
1139 | elif a.rank==4: |
1140 | for i0 in range(a.shape[0]): |
1141 | for i1 in range(a.shape[1]): |
1142 | for i2 in range(a.shape[2]): |
1143 | zo=0. |
1144 | zop=0. |
1145 | z=0. |
1146 | for i99 in range(a.shape[3]): |
1147 | if i99==0: |
1148 | zo+= xfac_o*a[i0,i1,i2,i99] |
1149 | zop+= xfac_op*a[i0,i1,i2,i99] |
1150 | |
1151 | else: |
1152 | zo+=a[i0,i1,i2,i99] |
1153 | z+=b[i0,i1,i2,i99] |
1154 | |
1155 | out+=tap+"%s[%s,%s,%s]=(%s)%s+(%s)%s"%(arg,i0,i1,i2,zo,zo_fac_s,z*z_fac,z_fac_s) |
1156 | if zop==0.: |
1157 | out+="\n" |
1158 | else: |
1159 | out+="+(%s)*0.5**o\n"%zop |
1160 | |
1161 | elif a.rank==5: |
1162 | for i0 in range(a.shape[0]): |
1163 | for i1 in range(a.shape[1]): |
1164 | for i2 in range(a.shape[2]): |
1165 | for i3 in range(a.shape[3]): |
1166 | zo=0. |
1167 | zop=0. |
1168 | z=0. |
1169 | for i99 in range(a.shape[4]): |
1170 | if i99==0: |
1171 | zo+= xfac_o*a[i0,i1,i2,i3,i99] |
1172 | zop+= xfac_op*a[i0,i1,i2,i3,i99] |
1173 | |
1174 | else: |
1175 | zo+=a[i0,i1,i2,i3,i99] |
1176 | z+=b[i0,i1,i2,i3,i99] |
1177 | 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) |
1178 | if zop==0.: |
1179 | out+="\n" |
1180 | else: |
1181 | out+="+(%s)*0.5**o\n"%zop |
1182 | |
1183 | return out |
1184 | def unrollLoopsSimplified(b,arg,tap=""): |
1185 | out="" |
1186 | if isinstance(b,float) or b.rank==0: |
1187 | out+=tap+"%s=(%s)*x[0]\n"%(arg,str(b)) |
1188 | |
1189 | elif b.rank==1: |
1190 | for i0 in range(b.shape[0]): |
1191 | out+=tap+"%s[%s]=(%s)*x[%s]\n"%(arg,i0,b[i0],i0) |
1192 | elif b.rank==2: |
1193 | for i0 in range(b.shape[0]): |
1194 | for i1 in range(b.shape[1]): |
1195 | out+=tap+"%s[%s,%s]=(%s)*x[%s]\n"%(arg,i0,i1,b[i0,i1],i1) |
1196 | elif b.rank==3: |
1197 | for i0 in range(b.shape[0]): |
1198 | for i1 in range(b.shape[1]): |
1199 | for i2 in range(b.shape[2]): |
1200 | out+=tap+"%s[%s,%s,%s]=(%s)*x[%s]\n"%(arg,i0,i1,i2,b[i0,i1,i2],i2) |
1201 | elif b.rank==4: |
1202 | for i0 in range(b.shape[0]): |
1203 | for i1 in range(b.shape[1]): |
1204 | for i2 in range(b.shape[2]): |
1205 | for i3 in range(b.shape[3]): |
1206 | out+=tap+"%s[%s,%s,%s,%s]=(%s)*x[%s]\n"%(arg,i0,i1,i2,i3,b[i0,i1,i2,i3],i3) |
1207 | return out |
1208 | |
1209 | def unrollLoopsOfL2(b,where,arg,tap=""): |
1210 | out="" |
1211 | z=[] |
1212 | if isinstance(b,float) or b.rank==0: |
1213 | z.append(b**2) |
1214 | elif b.rank==1: |
1215 | for i0 in range(b.shape[0]): |
1216 | z.append(b[i0]**2) |
1217 | elif b.rank==2: |
1218 | for i1 in range(b.shape[1]): |
1219 | s=0 |
1220 | for i0 in range(b.shape[0]): |
1221 | s+=b[i0,i1]**2 |
1222 | z.append(s) |
1223 | elif b.rank==3: |
1224 | for i2 in range(b.shape[2]): |
1225 | s=0 |
1226 | for i0 in range(b.shape[0]): |
1227 | for i1 in range(b.shape[1]): |
1228 | s+=b[i0,i1,i2]**2 |
1229 | z.append(s) |
1230 | |
1231 | elif b.rank==4: |
1232 | for i3 in range(b.shape[3]): |
1233 | s=0 |
1234 | for i0 in range(b.shape[0]): |
1235 | for i1 in range(b.shape[1]): |
1236 | for i2 in range(b.shape[2]): |
1237 | s+=b[i0,i1,i2,i3]**2 |
1238 | z.append(s) |
1239 | if where=="Function": |
1240 | xfac_o=1. |
1241 | xfac_op=0. |
1242 | z_fac_s="" |
1243 | zo_fac_s="" |
1244 | zo_fac=1./3. |
1245 | elif where=="FunctionOnBoundary": |
1246 | xfac_o=1. |
1247 | xfac_op=0. |
1248 | z_fac_s="*dim" |
1249 | zo_fac_s="*(2.*dim+1.)/3." |
1250 | zo_fac=1. |
1251 | elif where in ["FunctionOnContactZero","FunctionOnContactOne"]: |
1252 | xfac_o=0. |
1253 | xfac_op=1. |
1254 | z_fac_s="" |
1255 | zo_fac_s="" |
1256 | zo_fac=1./3. |
1257 | zo=0. |
1258 | zop=0. |
1259 | for i99 in range(len(z)): |
1260 | if i99==0: |
1261 | zo+=xfac_o*z[i99] |
1262 | zop+=xfac_op*z[i99] |
1263 | else: |
1264 | zo+=z[i99] |
1265 | out+=tap+"%s=sqrt((%s)%s"%(arg,zo*zo_fac,zo_fac_s) |
1266 | if zop==0.: |
1267 | out+=")\n" |
1268 | else: |
1269 | out+="+(%s))\n"%(zop*0.5**2) |
1270 | return out |
1271 | #======================================================================================================= |
1272 | # transpose |
1273 | #======================================================================================================= |
1274 | def transposeTest(r,offset): |
1275 | if isinstance(r,float): return r |
1276 | s=r.shape |
1277 | s1=1 |
1278 | for i in s[:offset]: s1*=i |
1279 | s2=1 |
1280 | for i in s[offset:]: s2*=i |
1281 | out=numarray.reshape(r,(s1,s2)) |
1282 | out.transpose() |
1283 | return numarray.resize(out,s[offset:]+s[:offset]) |
1284 | |
1285 | name,tt="transpose",transposeTest |
1286 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
1287 | for sh0 in [ (), (3,), (4,5), (6,2,2),(3,2,3,4)]: |
1288 | for offset in range(len(sh0)+1): |
1289 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
1290 | tname="test_%s_%s_rank%s_offset%s"%(name,case0,len(sh0),offset) |
1291 | text+=" def %s(self):\n"%tname |
1292 | sh_t=sh0[offset:]+sh0[:offset] |
1293 | |
1294 | # sh_t=list(sh0) |
1295 | # sh_t[offset+1]=sh_t[offset] |
1296 | # sh_t=tuple(sh_t) |
1297 | # sh_r=[] |
1298 | # for i in range(offset): sh_r.append(sh0[i]) |
1299 | # for i in range(offset+2,len(sh0)): sh_r.append(sh0[i]) |
1300 | # sh_r=tuple(sh_r) |
1301 | |
1302 | a_0=makeArray(sh0,[-1.,1]) |
1303 | if case0 in ["taggedData", "expandedData"]: |
1304 | a1_0=makeArray(sh0,[-1.,1]) |
1305 | else: |
1306 | a1_0=a_0 |
1307 | r=tt(a_0,offset) |
1308 | r1=tt(a1_0,offset) |
1309 | text+=mkText(case0,"arg",a_0,a1_0) |
1310 | text+=" res=%s(arg,%s)\n"%(name,offset) |
1311 | if case0=="Symbol": |
1312 | text+=mkText("array","s",a_0,a1_0) |
1313 | text+=" sub=res.substitute({arg:s})\n" |
1314 | res="sub" |
1315 | text+=mkText("array","ref",r,r1) |
1316 | else: |
1317 | res="res" |
1318 | text+=mkText(case0,"ref",r,r1) |
1319 | text+=mkTypeAndShapeTest(case0,sh_t,"res") |
1320 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
1321 | |
1322 | if case0 == "taggedData" : |
1323 | t_prog_with_tags+=text |
1324 | else: |
1325 | t_prog+=text |
1326 | |
1327 | print test_header |
1328 | # print t_prog |
1329 | print t_prog_with_tags |
1330 | print test_tail |
1331 | 1/0 |
1332 | #======================================================================================================= |
1333 | # L2 |
1334 | #======================================================================================================= |
1335 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
1336 | for data in ["Data","Symbol"]: |
1337 | for sh in [ (),(2,), (4,5), (6,2,2),(4,5,3,2)]: |
1338 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
1339 | tname="test_L2_on%s_from%s_rank%s"%(where,data,len(sh)) |
1340 | text+=" def %s(self):\n"%tname |
1341 | text+=" \"\"\"\n" |
1342 | text+=" tests L2-norm of %s on the %s\n\n"%(data,where) |
1343 | text+=" assumptions: self.domain supports integration on %s\n"%where |
1344 | text+=" \"\"\"\n" |
1345 | text+=" dim=self.domain.getDim()\n" |
1346 | text+=" w=%s(self.domain)\n"%where |
1347 | text+=" x=w.getX()\n" |
1348 | o="1" |
1349 | if len(sh)>0: |
1350 | sh_2=sh[:len(sh)-1]+(2,) |
1351 | sh_3=sh[:len(sh)-1]+(3,) |
1352 | b_2=makeArray(sh[:len(sh)-1]+(2,),[-1.,1]) |
1353 | b_3=makeArray(sh[:len(sh)-1]+(3,),[-1.,1]) |
1354 | else: |
1355 | sh_2=() |
1356 | sh_3=() |
1357 | b_2=makeArray(sh,[-1.,1]) |
1358 | b_3=makeArray(sh,[-1.,1]) |
1359 | |
1360 | if data=="Symbol": |
1361 | val="s" |
1362 | res="sub" |
1363 | else: |
1364 | val="arg" |
1365 | res="res" |
1366 | text+=" if dim==2:\n" |
1367 | if data=="Symbol": |
1368 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh_2) |
1369 | |
1370 | text+=" %s=Data(0,%s,w)\n"%(val,sh_2) |
1371 | text+=unrollLoopsSimplified(b_2,val,tap=" ") |
1372 | text+=unrollLoopsOfL2(b_2,where,"ref",tap=" ") |
1373 | text+="\n else:\n" |
1374 | if data=="Symbol": |
1375 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh_3) |
1376 | text+=" %s=Data(0,%s,w)\n"%(val,sh_3) |
1377 | text+=unrollLoopsSimplified(b_3,val,tap=" ") |
1378 | text+=unrollLoopsOfL2(b_3,where,"ref",tap=" ") |
1379 | text+="\n res=L2(arg)\n" |
1380 | if data=="Symbol": |
1381 | text+=" sub=res.substitute({arg:s})\n" |
1382 | text+=" self.failUnless(isinstance(res,Symbol),\"wrong type of result.\")\n" |
1383 | text+=" self.failUnlessEqual(res.getShape(),(),\"wrong shape of result.\")\n" |
1384 | else: |
1385 | text+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n" |
1386 | text+=" self.failUnlessAlmostEqual(%s,ref,int(-log10(self.RES_TOL)),\"wrong result\")\n"%res |
1387 | t_prog+=text |
1388 | print t_prog |
1389 | 1/0 |
1390 | |
1391 | #======================================================================================================= |
1392 | # div |
1393 | #======================================================================================================= |
1394 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
1395 | for data in ["Data","Symbol"]: |
1396 | for case in ["ContinuousFunction","Solution","ReducedSolution"]: |
1397 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
1398 | tname="test_div_on%s_from%s_%s"%(where,data,case) |
1399 | text+=" def %s(self):\n"%tname |
1400 | text+=" \"\"\"\n" |
1401 | text+=" tests divergence of %s on the %s\n\n"%(data,where) |
1402 | text+=" assumptions: %s(self.domain) exists\n"%case |
1403 | text+=" self.domain supports div on %s\n"%where |
1404 | text+=" \"\"\"\n" |
1405 | if case=="ReducedSolution": |
1406 | text+=" o=1\n" |
1407 | o="1" |
1408 | else: |
1409 | text+=" o=self.order\n" |
1410 | o="o" |
1411 | text+=" dim=self.domain.getDim()\n" |
1412 | text+=" w_ref=%s(self.domain)\n"%where |
1413 | text+=" x_ref=w_ref.getX()\n" |
1414 | text+=" w=%s(self.domain)\n"%case |
1415 | text+=" x=w.getX()\n" |
1416 | a_2=makeArray((2,2),[-1.,1]) |
1417 | b_2=makeArray((2,2),[-1.,1]) |
1418 | a_3=makeArray((3,3),[-1.,1]) |
1419 | b_3=makeArray((3,3),[-1.,1]) |
1420 | if data=="Symbol": |
1421 | text+=" arg=Symbol(shape=(dim,),dim=dim)\n" |
1422 | val="s" |
1423 | res="sub" |
1424 | else: |
1425 | val="arg" |
1426 | res="res" |
1427 | text+=" %s=Vector(0,w)\n"%val |
1428 | text+=" if dim==2:\n" |
1429 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") |
1430 | text+=unrollLoopsOfDiv(a_2,b_2,o,"ref",tap=" ") |
1431 | text+="\n else:\n" |
1432 | |
1433 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") |
1434 | text+=unrollLoopsOfDiv(a_3,b_3,o,"ref",tap=" ") |
1435 | text+="\n res=div(arg,where=w_ref)\n" |
1436 | if data=="Symbol": |
1437 | text+=" sub=res.substitute({arg:s})\n" |
1438 | text+=" self.failUnless(isinstance(res,%s),\"wrong type of result.\")\n"%data |
1439 | text+=" self.failUnlessEqual(res.getShape(),(),\"wrong shape of result.\")\n" |
1440 | text+=" self.failUnlessEqual(%s.getFunctionSpace(),w_ref,\"wrong function space of result.\")\n"%res |
1441 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
1442 | |
1443 | |
1444 | t_prog+=text |
1445 | print t_prog |
1446 | 1/0 |
1447 | |
1448 | #======================================================================================================= |
1449 | # interpolation |
1450 | #======================================================================================================= |
1451 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne","Solution","ReducedSolution"]: |
1452 | for data in ["Data","Symbol"]: |
1453 | for case in ["ContinuousFunction","Solution","ReducedSolution","Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
1454 | for sh in [ (),(2,), (4,5), (6,2,2),(4,5,3,2)]: |
1455 | if where==case or \ |
1456 | ( case in ["ContinuousFunction","Solution","ReducedSolution"] and where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"] ) or \ |
1457 | ( case in ["FunctionOnContactZero","FunctionOnContactOne"] and where in ["FunctionOnContactZero","FunctionOnContactOne"] ) or \ |
1458 | (case=="ContinuousFunction" and where in ["Solution","ReducedSolution"]) or \ |
1459 | (case=="Solution" and where=="ReducedSolution") : |
1460 | |
1461 | |
1462 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
1463 | tname="test_interpolation_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) |
1464 | text+=" def %s(self):\n"%tname |
1465 | text+=" \"\"\"\n" |
1466 | text+=" tests interpolation for rank %s %s onto the %s\n\n"%(len(sh),data,where) |
1467 | text+=" assumptions: self.domain supports inpterpolation from %s onto %s\n"%(case,where) |
1468 | text+=" \"\"\"\n" |
1469 | if case=="ReducedSolution" or where=="ReducedSolution": |
1470 | text+=" o=1\n" |
1471 | o="1" |
1472 | else: |
1473 | text+=" o=self.order\n" |
1474 | o="o" |
1475 | text+=" dim=self.domain.getDim()\n" |
1476 | text+=" w_ref=%s(self.domain)\n"%where |
1477 | text+=" x_ref=w_ref.getX()\n" |
1478 | text+=" w=%s(self.domain)\n"%case |
1479 | text+=" x=w.getX()\n" |
1480 | a_2=makeArray(sh+(2,),[-1.,1]) |
1481 | b_2=makeArray(sh+(2,),[-1.,1]) |
1482 | a_3=makeArray(sh+(3,),[-1.,1]) |
1483 | b_3=makeArray(sh+(3,),[-1.,1]) |
1484 | if data=="Symbol": |
1485 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh) |
1486 | val="s" |
1487 | res="sub" |
1488 | else: |
1489 | val="arg" |
1490 | res="res" |
1491 | text+=" %s=Data(0,%s,w)\n"%(val,str(sh)) |
1492 | text+=" ref=Data(0,%s,w_ref)\n"%str(sh) |
1493 | text+=" if dim==2:\n" |
1494 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") |
1495 | text+=unrollLoops(a_2,b_2,o,"ref",tap=" ",x="x_ref") |
1496 | text+=" else:\n" |
1497 | |
1498 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") |
1499 | text+=unrollLoops(a_3,b_3,o,"ref",tap=" ",x="x_ref") |
1500 | text+=" res=interpolate(arg,where=w_ref)\n" |
1501 | if data=="Symbol": |
1502 | text+=" sub=res.substitute({arg:s})\n" |
1503 | text+=" self.failUnless(isinstance(res,%s),\"wrong type of result.\")\n"%data |
1504 | text+=" self.failUnlessEqual(%s.getFunctionSpace(),w_ref,\"wrong functionspace of result.\")\n"%res |
1505 | text+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh) |
1506 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
1507 | t_prog+=text |
1508 | print test_header |
1509 | print t_prog |
1510 | print test_tail |
1511 | 1/0 |
1512 | |
1513 | #======================================================================================================= |
1514 | # grad |
1515 | #======================================================================================================= |
1516 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
1517 | for data in ["Data","Symbol"]: |
1518 | for case in ["ContinuousFunction","Solution","ReducedSolution"]: |
1519 | for sh in [ (),(2,), (4,5), (6,2,2)]: |
1520 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
1521 | tname="test_grad_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) |
1522 | text+=" def %s(self):\n"%tname |
1523 | text+=" \"\"\"\n" |
1524 | text+=" tests gradient for rank %s %s on the %s\n\n"%(len(sh),data,where) |
1525 | text+=" assumptions: %s(self.domain) exists\n"%case |
1526 | text+=" self.domain supports gardient on %s\n"%where |
1527 | text+=" \"\"\"\n" |
1528 | if case=="ReducedSolution": |
1529 | text+=" o=1\n" |
1530 | o="1" |
1531 | else: |
1532 | text+=" o=self.order\n" |
1533 | o="o" |
1534 | text+=" dim=self.domain.getDim()\n" |
1535 | text+=" w_ref=%s(self.domain)\n"%where |
1536 | text+=" x_ref=w_ref.getX()\n" |
1537 | text+=" w=%s(self.domain)\n"%case |
1538 | text+=" x=w.getX()\n" |
1539 | a_2=makeArray(sh+(2,),[-1.,1]) |
1540 | b_2=makeArray(sh+(2,),[-1.,1]) |
1541 | a_3=makeArray(sh+(3,),[-1.,1]) |
1542 | b_3=makeArray(sh+(3,),[-1.,1]) |
1543 | if data=="Symbol": |
1544 | text+=" arg=Symbol(shape=%s,dim=dim)\n"%str(sh) |
1545 | val="s" |
1546 | res="sub" |
1547 | else: |
1548 | val="arg" |
1549 | res="res" |
1550 | text+=" %s=Data(0,%s,w)\n"%(val,str(sh)) |
1551 | text+=" ref=Data(0,%s+(dim,),w_ref)\n"%str(sh) |
1552 | text+=" if dim==2:\n" |
1553 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") |
1554 | text+=unrollLoopsOfGrad(a_2,b_2,o,"ref",tap=" ") |
1555 | text+=" else:\n" |
1556 | |
1557 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") |
1558 | text+=unrollLoopsOfGrad(a_3,b_3,o,"ref",tap=" ") |
1559 | text+=" res=grad(arg,where=w_ref)\n" |
1560 | if data=="Symbol": |
1561 | text+=" sub=res.substitute({arg:s})\n" |
1562 | text+=" self.failUnless(isinstance(res,%s),\"wrong type of result.\")\n"%data |
1563 | text+=" self.failUnlessEqual(res.getShape(),%s+(dim,),\"wrong shape of result.\")\n"%str(sh) |
1564 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
1565 | |
1566 | |
1567 | t_prog+=text |
1568 | print test_header |
1569 | print t_prog |
1570 | print test_tail |
1571 | 1/0 |
1572 | |
1573 | |
1574 | #======================================================================================================= |
1575 | # integrate |
1576 | #======================================================================================================= |
1577 | for where in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
1578 | for data in ["Data","Symbol"]: |
1579 | for case in ["ContinuousFunction","Solution","ReducedSolution","Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]: |
1580 | for sh in [ (),(2,), (4,5), (6,2,2),(4,5,3,2)]: |
1581 | if (not case in ["Function","FunctionOnBoundary","FunctionOnContactZero","FunctionOnContactOne"]) or where==case: |
1582 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
1583 | tname="test_integrate_on%s_from%s_%s_rank%s"%(where,data,case,len(sh)) |
1584 | text+=" def %s(self):\n"%tname |
1585 | text+=" \"\"\"\n" |
1586 | text+=" tests integral of rank %s %s on the %s\n\n"%(len(sh),data,where) |
1587 | text+=" assumptions: %s(self.domain) exists\n"%case |
1588 | text+=" self.domain supports integral on %s\n"%where |
1589 | |
1590 | text+=" \"\"\"\n" |
1591 | if case=="ReducedSolution": |
1592 | text+=" o=1\n" |
1593 | o="1" |
1594 | else: |
1595 | text+=" o=self.order\n" |
1596 | o="o" |
1597 | text+=" dim=self.domain.getDim()\n" |
1598 | text+=" w_ref=%s(self.domain)\n"%where |
1599 | text+=" w=%s(self.domain)\n"%case |
1600 | text+=" x=w.getX()\n" |
1601 | a_2=makeArray(sh+(2,),[-1.,1]) |
1602 | b_2=makeArray(sh+(2,),[-1.,1]) |
1603 | a_3=makeArray(sh+(3,),[-1.,1]) |
1604 | b_3=makeArray(sh+(3,),[-1.,1]) |
1605 | if data=="Symbol": |
1606 | text+=" arg=Symbol(shape=%s)\n"%str(sh) |
1607 | val="s" |
1608 | res="sub" |
1609 | else: |
1610 | val="arg" |
1611 | res="res" |
1612 | |
1613 | text+=" %s=Data(0,%s,w)\n"%(val,str(sh)) |
1614 | if not len(sh)==0: |
1615 | text+=" ref=numarray.zeros(%s,numarray.Float)\n"%str(sh) |
1616 | text+=" if dim==2:\n" |
1617 | text+=unrollLoops(a_2,b_2,o,val,tap=" ") |
1618 | text+=unrollLoopsOfInteriorIntegral(a_2,b_2,where,"ref",tap=" ") |
1619 | text+=" else:\n" |
1620 | |
1621 | text+=unrollLoops(a_3,b_3,o,val,tap=" ") |
1622 | text+=unrollLoopsOfInteriorIntegral(a_3,b_3,where,"ref",tap=" ") |
1623 | if case in ["ContinuousFunction","Solution","ReducedSolution"]: |
1624 | text+=" res=integrate(arg,where=w_ref)\n" |
1625 | else: |
1626 | text+=" res=integrate(arg)\n" |
1627 | |
1628 | if data=="Symbol": |
1629 | text+=" sub=res.substitute({arg:s})\n" |
1630 | if len(sh)==0 and data=="Data": |
1631 | text+=" self.failUnless(isinstance(%s,float),\"wrong type of result.\")\n"%res |
1632 | else: |
1633 | if data=="Symbol": |
1634 | text+=" self.failUnless(isinstance(res,Symbol),\"wrong type of result.\")\n" |
1635 | text+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh) |
1636 | else: |
1637 | text+=" self.failUnless(isinstance(res,numarray.NumArray),\"wrong type of result.\")\n" |
1638 | text+=" self.failUnlessEqual(res.shape,%s,\"wrong shape of result.\")\n"%str(sh) |
1639 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
1640 | |
1641 | |
1642 | t_prog+=text |
1643 | print test_header |
1644 | print t_prog |
1645 | print test_tail |
1646 | 1/0 |
1647 | #======================================================================================================= |
1648 | # inverse |
1649 | #======================================================================================================= |
1650 | name="inverse" |
1651 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
1652 | for sh0 in [ (1,1), (2,2), (3,3)]: |
1653 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
1654 | tname="test_%s_%s_dim%s"%(name,case0,sh0[0]) |
1655 | text+=" def %s(self):\n"%tname |
1656 | a_0=makeArray(sh0,[-1.,1]) |
1657 | for i in range(sh0[0]): a_0[i,i]+=2 |
1658 | if case0 in ["taggedData", "expandedData"]: |
1659 | a1_0=makeArray(sh0,[-1.,1]) |
1660 | for i in range(sh0[0]): a1_0[i,i]+=3 |
1661 | else: |
1662 | a1_0=a_0 |
1663 | |
1664 | text+=mkText(case0,"arg",a_0,a1_0) |
1665 | text+=" res=%s(arg)\n"%name |
1666 | if case0=="Symbol": |
1667 | text+=mkText("array","s",a_0,a1_0) |
1668 | text+=" sub=res.substitute({arg:s})\n" |
1669 | res="sub" |
1670 | ref="s" |
1671 | else: |
1672 | ref="arg" |
1673 | res="res" |
1674 | text+=mkTypeAndShapeTest(case0,sh0,"res") |
1675 | text+=" self.failUnless(Lsup(matrixmult(%s,%s)-kronecker(%s))<=self.RES_TOL,\"wrong result\")\n"%(res,ref,sh0[0]) |
1676 | |
1677 | if case0 == "taggedData" : |
1678 | t_prog_with_tags+=text |
1679 | else: |
1680 | t_prog+=text |
1681 | |
1682 | print test_header |
1683 | # print t_prog |
1684 | print t_prog_with_tags |
1685 | print test_tail |
1686 | 1/0 |
1687 | |
1688 | #======================================================================================================= |
1689 | # trace |
1690 | #======================================================================================================= |
1691 | def traceTest(r,offset): |
1692 | sh=r.shape |
1693 | r1=1 |
1694 | for i in range(offset): r1*=sh[i] |
1695 | r2=1 |
1696 | for i in range(offset+2,len(sh)): r2*=sh[i] |
1697 | r_s=numarray.reshape(r,(r1,sh[offset],sh[offset],r2)) |
1698 | s=numarray.zeros([r1,r2],numarray.Float) |
1699 | for i1 in range(r1): |
1700 | for i2 in range(r2): |
1701 | for j in range(sh[offset]): s[i1,i2]+=r_s[i1,j,j,i2] |
1702 | return s.resize(sh[:offset]+sh[offset+2:]) |
1703 | name,tt="trace",traceTest |
1704 | for case0 in ["array","Symbol","constData","taggedData","expandedData"]: |
1705 | for sh0 in [ (4,5), (6,2,2),(3,2,3,4)]: |
1706 | for offset in range(len(sh0)-1): |
1707 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
1708 | tname="test_%s_%s_rank%s_offset%s"%(name,case0,len(sh0),offset) |
1709 | text+=" def %s(self):\n"%tname |
1710 | sh_t=list(sh0) |
1711 | sh_t[offset+1]=sh_t[offset] |
1712 | sh_t=tuple(sh_t) |
1713 | sh_r=[] |
1714 | for i in range(offset): sh_r.append(sh0[i]) |
1715 | for i in range(offset+2,len(sh0)): sh_r.append(sh0[i]) |
1716 | sh_r=tuple(sh_r) |
1717 | a_0=makeArray(sh_t,[-1.,1]) |
1718 | if case0 in ["taggedData", "expandedData"]: |
1719 | a1_0=makeArray(sh_t,[-1.,1]) |
1720 | else: |
1721 | a1_0=a_0 |
1722 | r=tt(a_0,offset) |
1723 | r1=tt(a1_0,offset) |
1724 | text+=mkText(case0,"arg",a_0,a1_0) |
1725 | text+=" res=%s(arg,%s)\n"%(name,offset) |
1726 | if case0=="Symbol": |
1727 | text+=mkText("array","s",a_0,a1_0) |
1728 | text+=" sub=res.substitute({arg:s})\n" |
1729 | res="sub" |
1730 | text+=mkText("array","ref",r,r1) |
1731 | else: |
1732 | res="res" |
1733 | text+=mkText(case0,"ref",r,r1) |
1734 | text+=mkTypeAndShapeTest(case0,sh_r,"res") |
1735 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
1736 | |
1737 | if case0 == "taggedData" : |
1738 | t_prog_with_tags+=text |
1739 | else: |
1740 | t_prog+=text |
1741 | |
1742 | print test_header |
1743 | # print t_prog |
1744 | print t_prog_with_tags |
1745 | print test_tail |
1746 | 1/0 |
1747 | |
1748 | #======================================================================================================= |
1749 | # clip |
1750 | #======================================================================================================= |
1751 | oper_L=[["clip",clipTEST]] |
1752 | for oper in oper_L: |
1753 | for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
1754 | for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
1755 | if len(sh0)==0 or not case0=="float": |
1756 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
1757 | tname="test_%s_%s_rank%s"%(oper[0],case0,len(sh0)) |
1758 | text+=" def %s(self):\n"%tname |
1759 | a_0=makeArray(sh0,[-1.,1]) |
1760 | if case0 in ["taggedData", "expandedData"]: |
1761 | a1_0=makeArray(sh0,[-1.,1]) |
1762 | else: |
1763 | a1_0=a_0 |
1764 | |
1765 | r=oper[1](a_0,-0.3,0.5) |
1766 | r1=oper[1](a1_0,-0.3,0.5) |
1767 | text+=mkText(case0,"arg",a_0,a1_0) |
1768 | text+=" res=%s(arg,-0.3,0.5)\n"%oper[0] |
1769 | if case0=="Symbol": |
1770 | text+=mkText("array","s",a_0,a1_0) |
1771 | text+=" sub=res.substitute({arg:s})\n" |
1772 | res="sub" |
1773 | text+=mkText("array","ref",r,r1) |
1774 | else: |
1775 | res="res" |
1776 | text+=mkText(case0,"ref",r,r1) |
1777 | text+=mkTypeAndShapeTest(case0,sh0,"res") |
1778 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
1779 | |
1780 | if case0 == "taggedData" : |
1781 | t_prog_with_tags+=text |
1782 | else: |
1783 | t_prog+=text |
1784 | |
1785 | print test_header |
1786 | # print t_prog |
1787 | print t_prog_with_tags |
1788 | print test_tail |
1789 | 1/0 |
1790 | |
1791 | #======================================================================================================= |
1792 | # maximum, minimum, clipping |
1793 | #======================================================================================================= |
1794 | oper_L=[ ["maximum",maximumTEST], |
1795 | ["minimum",minimumTEST]] |
1796 | for oper in oper_L: |
1797 | for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
1798 | for sh1 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
1799 | for case1 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
1800 | for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
1801 | if (len(sh0)==0 or not case0=="float") and (len(sh1)==0 or not case1=="float") \ |
1802 | and (sh0==sh1 or len(sh0)==0 or len(sh1)==0) : |
1803 | use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData" |
1804 | |
1805 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
1806 | tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1)) |
1807 | text+=" def %s(self):\n"%tname |
1808 | a_0=makeArray(sh0,[-1.,1]) |
1809 | if case0 in ["taggedData", "expandedData"]: |
1810 | a1_0=makeArray(sh0,[-1.,1]) |
1811 | else: |
1812 | a1_0=a_0 |
1813 | |
1814 | a_1=makeArray(sh1,[-1.,1]) |
1815 | if case1 in ["taggedData", "expandedData"]: |
1816 | a1_1=makeArray(sh1,[-1.,1]) |
1817 | else: |
1818 | a1_1=a_1 |
1819 | r=oper[1](a_0,a_1) |
1820 | r1=oper[1](a1_0,a1_1) |
1821 | text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data) |
1822 | text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data) |
1823 | text+=" res=%s(arg0,arg1)\n"%oper[0] |
1824 | case=getResultCaseForBin(case0,case1) |
1825 | if case=="Symbol": |
1826 | c0_res,c1_res=case0,case1 |
1827 | subs="{" |
1828 | if case0=="Symbol": |
1829 | text+=mkText("array","s0",a_0,a1_0) |
1830 | subs+="arg0:s0" |
1831 | c0_res="array" |
1832 | if case1=="Symbol": |
1833 | text+=mkText("array","s1",a_1,a1_1) |
1834 | if not subs.endswith("{"): subs+="," |
1835 | subs+="arg1:s1" |
1836 | c1_res="array" |
1837 | subs+="}" |
1838 | text+=" sub=res.substitute(%s)\n"%subs |
1839 | res="sub" |
1840 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
1841 | else: |
1842 | res="res" |
1843 | text+=mkText(case,"ref",r,r1) |
1844 | if len(sh0)>len(sh1): |
1845 | text+=mkTypeAndShapeTest(case,sh0,"res") |
1846 | else: |
1847 | text+=mkTypeAndShapeTest(case,sh1,"res") |
1848 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
1849 | |
1850 | if case0 == "taggedData" or case1 == "taggedData": |
1851 | t_prog_with_tags+=text |
1852 | else: |
1853 | t_prog+=text |
1854 | |
1855 | print test_header |
1856 | # print t_prog |
1857 | print t_prog_with_tags |
1858 | print test_tail |
1859 | 1/0 |
1860 | |
1861 | |
1862 | #======================================================================================================= |
1863 | # outer inner |
1864 | #======================================================================================================= |
1865 | oper=["outer",outerTEST] |
1866 | # oper=["inner",innerTEST] |
1867 | for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
1868 | for sh1 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
1869 | for case1 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
1870 | for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
1871 | if (len(sh0)==0 or not case0=="float") and (len(sh1)==0 or not case1=="float") \ |
1872 | and len(sh0+sh1)<5: |
1873 | use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData" |
1874 | |
1875 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
1876 | tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1)) |
1877 | text+=" def %s(self):\n"%tname |
1878 | a_0=makeArray(sh0,[-1.,1]) |
1879 | if case0 in ["taggedData", "expandedData"]: |
1880 | a1_0=makeArray(sh0,[-1.,1]) |
1881 | else: |
1882 | a1_0=a_0 |
1883 | |
1884 | a_1=makeArray(sh1,[-1.,1]) |
1885 | if case1 in ["taggedData", "expandedData"]: |
1886 | a1_1=makeArray(sh1,[-1.,1]) |
1887 | else: |
1888 | a1_1=a_1 |
1889 | r=oper[1](a_0,a_1) |
1890 | r1=oper[1](a1_0,a1_1) |
1891 | text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data) |
1892 | text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data) |
1893 | text+=" res=%s(arg0,arg1)\n"%oper[0] |
1894 | case=getResultCaseForBin(case0,case1) |
1895 | if case=="Symbol": |
1896 | c0_res,c1_res=case0,case1 |
1897 | subs="{" |
1898 | if case0=="Symbol": |
1899 | text+=mkText("array","s0",a_0,a1_0) |
1900 | subs+="arg0:s0" |
1901 | c0_res="array" |
1902 | if case1=="Symbol": |
1903 | text+=mkText("array","s1",a_1,a1_1) |
1904 | if not subs.endswith("{"): subs+="," |
1905 | subs+="arg1:s1" |
1906 | c1_res="array" |
1907 | subs+="}" |
1908 | text+=" sub=res.substitute(%s)\n"%subs |
1909 | res="sub" |
1910 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
1911 | else: |
1912 | res="res" |
1913 | text+=mkText(case,"ref",r,r1) |
1914 | text+=mkTypeAndShapeTest(case,sh0+sh1,"res") |
1915 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
1916 | |
1917 | if case0 == "taggedData" or case1 == "taggedData": |
1918 | t_prog_with_tags+=text |
1919 | else: |
1920 | t_prog+=text |
1921 | |
1922 | print test_header |
1923 | # print t_prog |
1924 | print t_prog_with_tags |
1925 | print test_tail |
1926 | 1/0 |
1927 | |
1928 | #======================================================================================================= |
1929 | # local reduction |
1930 | #======================================================================================================= |
1931 | for oper in [["length",0.,"out+%a1%**2","math.sqrt(out)"], |
1932 | ["maxval",-1.e99,"max(out,%a1%)","out"], |
1933 | ["minval",1.e99,"min(out,%a1%)","out"] ]: |
1934 | for case in case_set: |
1935 | for sh in shape_set: |
1936 | if not case=="float" or len(sh)==0: |
1937 | text="" |
1938 | text+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
1939 | tname="def test_%s_%s_rank%s"%(oper[0],case,len(sh)) |
1940 | text+=" %s(self):\n"%tname |
1941 | a=makeArray(sh,[-1.,1.]) |
1942 | a1=makeArray(sh,[-1.,1.]) |
1943 | r1=testReduce(a1,oper[1],oper[2],oper[3]) |
1944 | r=testReduce(a,oper[1],oper[2],oper[3]) |
1945 | |
1946 | text+=mkText(case,"arg",a,a1) |
1947 | text+=" res=%s(arg)\n"%oper[0] |
1948 | if case=="Symbol": |
1949 | text+=mkText("array","s",a,a1) |
1950 | text+=" sub=res.substitute({arg:s})\n" |
1951 | text+=mkText("array","ref",r,r1) |
1952 | res="sub" |
1953 | else: |
1954 | text+=mkText(case,"ref",r,r1) |
1955 | res="res" |
1956 | if oper[0]=="length": |
1957 | text+=mkTypeAndShapeTest(case,(),"res") |
1958 | else: |
1959 | if case=="float" or case=="array": |
1960 | text+=mkTypeAndShapeTest("float",(),"res") |
1961 | else: |
1962 | text+=mkTypeAndShapeTest(case,(),"res") |
1963 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
1964 | if case == "taggedData": |
1965 | t_prog_with_tags+=text |
1966 | else: |
1967 | t_prog+=text |
1968 | print test_header |
1969 | # print t_prog |
1970 | print t_prog_with_tags |
1971 | print test_tail |
1972 | 1/0 |
1973 | |
1974 | #======================================================================================================= |
1975 | # tensor multiply |
1976 | #======================================================================================================= |
1977 | # oper=["generalTensorProduct",tensorProductTest] |
1978 | # oper=["matrixmult",testMatrixMult] |
1979 | oper=["tensormult",testTensorMult] |
1980 | |
1981 | for case0 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
1982 | for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
1983 | for case1 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
1984 | for sh1 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
1985 | for sh_s in [ (),(3,), (2,3), (2,4,3),(4,2,3,2)]: |
1986 | if (len(sh0+sh_s)==0 or not case0=="float") and (len(sh1+sh_s)==0 or not case1=="float") \ |
1987 | and len(sh0+sh1)<5 and len(sh0+sh_s)<5 and len(sh1+sh_s)<5: |
1988 | # 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 |
1989 | 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 |
1990 | case=getResultCaseForBin(case0,case1) |
1991 | use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData" |
1992 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
1993 | # tname="test_generalTensorProduct_%s_rank%s_%s_rank%s_offset%s"%(case0,len(sh0+sh_s),case1,len(sh_s+sh1),len(sh_s)) |
1994 | #tname="test_matrixmult_%s_rank%s_%s_rank%s"%(case0,len(sh0+sh_s),case1,len(sh_s+sh1)) |
1995 | tname="test_tensormult_%s_rank%s_%s_rank%s"%(case0,len(sh0+sh_s),case1,len(sh_s+sh1)) |
1996 | # if tname=="test_generalTensorProduct_array_rank1_array_rank2_offset1": |
1997 | # print tnametest_generalTensorProduct_Symbol_rank1_Symbol_rank3_offset1 |
1998 | text+=" def %s(self):\n"%tname |
1999 | a_0=makeArray(sh0+sh_s,[-1.,1]) |
2000 | if case0 in ["taggedData", "expandedData"]: |
2001 | a1_0=makeArray(sh0+sh_s,[-1.,1]) |
2002 | else: |
2003 | a1_0=a_0 |
2004 | |
2005 | a_1=makeArray(sh_s+sh1,[-1.,1]) |
2006 | if case1 in ["taggedData", "expandedData"]: |
2007 | a1_1=makeArray(sh_s+sh1,[-1.,1]) |
2008 | else: |
2009 | a1_1=a_1 |
2010 | r=oper[1](a_0,a_1,sh_s) |
2011 | r1=oper[1](a1_0,a1_1,sh_s) |
2012 | text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data) |
2013 | text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data) |
2014 | #text+=" res=matrixmult(arg0,arg1)\n" |
2015 | text+=" res=tensormult(arg0,arg1)\n" |
2016 | #text+=" res=generalTensorProduct(arg0,arg1,offset=%s)\n"%(len(sh_s)) |
2017 | if case=="Symbol": |
2018 | c0_res,c1_res=case0,case1 |
2019 | subs="{" |
2020 | if case0=="Symbol": |
2021 | text+=mkText("array","s0",a_0,a1_0) |
2022 | subs+="arg0:s0" |
2023 | c0_res="array" |
2024 | if case1=="Symbol": |
2025 | text+=mkText("array","s1",a_1,a1_1) |
2026 | if not subs.endswith("{"): subs+="," |
2027 | subs+="arg1:s1" |
2028 | c1_res="array" |
2029 | subs+="}" |
2030 | text+=" sub=res.substitute(%s)\n"%subs |
2031 | res="sub" |
2032 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
2033 | else: |
2034 | res="res" |
2035 | text+=mkText(case,"ref",r,r1) |
2036 | text+=mkTypeAndShapeTest(case,sh0+sh1,"res") |
2037 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
2038 | if case0 == "taggedData" or case1 == "taggedData": |
2039 | t_prog_with_tags+=text |
2040 | else: |
2041 | t_prog+=text |
2042 | print test_header |
2043 | # print t_prog |
2044 | print t_prog_with_tags |
2045 | print test_tail |
2046 | 1/0 |
2047 | #======================================================================================================= |
2048 | # basic binary operation overloading (tests only!) |
2049 | #======================================================================================================= |
2050 | oper_range=[-5.,5.] |
2051 | for oper in [["add" ,"+",[-5.,5.]], |
2052 | ["sub" ,"-",[-5.,5.]], |
2053 | ["mult","*",[-5.,5.]], |
2054 | ["div" ,"/",[-5.,5.]], |
2055 | ["pow" ,"**",[0.01,5.]]]: |
2056 | for case0 in case_set: |
2057 | for sh0 in shape_set: |
2058 | for case1 in case_set: |
2059 | for sh1 in shape_set: |
2060 | if not case0=="array" and \ |
2061 | (not case0=="float" or len(sh0)==0) and (not case1=="float" or len(sh1)==0) and \ |
2062 | (sh0==() or sh1==() or sh1==sh0) and \ |
2063 | not (case0 in ["float","array"] and case1 in ["float","array"]): |
2064 | use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData" |
2065 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
2066 | tname="test_%s_overloaded_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1)) |
2067 | text+=" def %s(self):\n"%tname |
2068 | a_0=makeArray(sh0,oper[2]) |
2069 | if case0 in ["taggedData", "expandedData"]: |
2070 | a1_0=makeArray(sh0,oper[2]) |
2071 | else: |
2072 | a1_0=a_0 |
2073 | |
2074 | a_1=makeArray(sh1,oper[2]) |
2075 | if case1 in ["taggedData", "expandedData"]: |
2076 | a1_1=makeArray(sh1,oper[2]) |
2077 | else: |
2078 | a1_1=a_1 |
2079 | r1=makeResult2(a1_0,a1_1,"%a1%"+oper[1]+"%a2%") |
2080 | r=makeResult2(a_0,a_1,"%a1%"+oper[1]+"%a2%") |
2081 | text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data) |
2082 | text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data) |
2083 | text+=" res=arg0%sarg1\n"%oper[1] |
2084 | |
2085 | case=getResultCaseForBin(case0,case1) |
2086 | if case=="Symbol": |
2087 | c0_res,c1_res=case0,case1 |
2088 | subs="{" |
2089 | if case0=="Symbol": |
2090 | text+=mkText("array","s0",a_0,a1_0) |
2091 | subs+="arg0:s0" |
2092 | c0_res="array" |
2093 | if case1=="Symbol": |
2094 | text+=mkText("array","s1",a_1,a1_1) |
2095 | if not subs.endswith("{"): subs+="," |
2096 | subs+="arg1:s1" |
2097 | c1_res="array" |
2098 | subs+="}" |
2099 | text+=" sub=res.substitute(%s)\n"%subs |
2100 | res="sub" |
2101 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
2102 | else: |
2103 | res="res" |
2104 | text+=mkText(case,"ref",r,r1) |
2105 | if isinstance(r,float): |
2106 | text+=mkTypeAndShapeTest(case,(),"res") |
2107 | else: |
2108 | text+=mkTypeAndShapeTest(case,r.shape,"res") |
2109 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
2110 | |
2111 | if case0 in [ "constData","taggedData","expandedData"] and case1 == "Symbol": |
2112 | t_prog_failing+=text |
2113 | else: |
2114 | if case0 == "taggedData" or case1 == "taggedData": |
2115 | t_prog_with_tags+=text |
2116 | else: |
2117 | t_prog+=text |
2118 | |
2119 | |
2120 | print test_header |
2121 | # print t_prog |
2122 | # print t_prog_with_tags |
2123 | print t_prog_failing |
2124 | print test_tail |
2125 | 1/0 |
2126 | #======================================================================================================= |
2127 | # basic binary operations (tests only!) |
2128 | #======================================================================================================= |
2129 | oper_range=[-5.,5.] |
2130 | for oper in [["add" ,"+",[-5.,5.]], |
2131 | ["mult","*",[-5.,5.]], |
2132 | ["quotient" ,"/",[-5.,5.]], |
2133 | ["power" ,"**",[0.01,5.]]]: |
2134 | for case0 in case_set: |
2135 | for case1 in case_set: |
2136 | for sh in shape_set: |
2137 | for sh_p in shape_set: |
2138 | if len(sh_p)>0: |
2139 | resource=[-1,1] |
2140 | else: |
2141 | resource=[1] |
2142 | for sh_d in resource: |
2143 | if sh_d>0: |
2144 | sh0=sh |
2145 | sh1=sh+sh_p |
2146 | else: |
2147 | sh1=sh |
2148 | sh0=sh+sh_p |
2149 | |
2150 | if (not case0=="float" or len(sh0)==0) and (not case1=="float" or len(sh1)==0) and \ |
2151 | len(sh0)<5 and len(sh1)<5: |
2152 | use_tagging_for_expanded_data= case0=="taggedData" or case1=="taggedData" |
2153 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
2154 | tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1)) |
2155 | text+=" def %s(self):\n"%tname |
2156 | a_0=makeArray(sh0,oper[2]) |
2157 | if case0 in ["taggedData", "expandedData"]: |
2158 | a1_0=makeArray(sh0,oper[2]) |
2159 | else: |
2160 | a1_0=a_0 |
2161 | |
2162 | a_1=makeArray(sh1,oper[2]) |
2163 | if case1 in ["taggedData", "expandedData"]: |
2164 | a1_1=makeArray(sh1,oper[2]) |
2165 | else: |
2166 | a1_1=a_1 |
2167 | r1=makeResult2(a1_0,a1_1,"%a1%"+oper[1]+"%a2%") |
2168 | r=makeResult2(a_0,a_1,"%a1%"+oper[1]+"%a2%") |
2169 | text+=mkText(case0,"arg0",a_0,a1_0,use_tagging_for_expanded_data) |
2170 | text+=mkText(case1,"arg1",a_1,a1_1,use_tagging_for_expanded_data) |
2171 | text+=" res=%s(arg0,arg1)\n"%oper[0] |
2172 | |
2173 | case=getResultCaseForBin(case0,case1) |
2174 | if case=="Symbol": |
2175 | c0_res,c1_res=case0,case1 |
2176 | subs="{" |
2177 | if case0=="Symbol": |
2178 | text+=mkText("array","s0",a_0,a1_0) |
2179 | subs+="arg0:s0" |
2180 | c0_res="array" |
2181 | if case1=="Symbol": |
2182 | text+=mkText("array","s1",a_1,a1_1) |
2183 | if not subs.endswith("{"): subs+="," |
2184 | subs+="arg1:s1" |
2185 | c1_res="array" |
2186 | subs+="}" |
2187 | text+=" sub=res.substitute(%s)\n"%subs |
2188 | res="sub" |
2189 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
2190 | else: |
2191 | res="res" |
2192 | text+=mkText(case,"ref",r,r1) |
2193 | if isinstance(r,float): |
2194 | text+=mkTypeAndShapeTest(case,(),"res") |
2195 | else: |
2196 | text+=mkTypeAndShapeTest(case,r.shape,"res") |
2197 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
2198 | |
2199 | if case0 == "taggedData" or case1 == "taggedData": |
2200 | t_prog_with_tags+=text |
2201 | else: |
2202 | t_prog+=text |
2203 | print test_header |
2204 | # print t_prog |
2205 | print t_prog_with_tags |
2206 | print test_tail |
2207 | 1/0 |
2208 | |
2209 | # print t_prog_with_tagsoper_range=[-5.,5.] |
2210 | for oper in [["add" ,"+",[-5.,5.]], |
2211 | ["sub" ,"-",[-5.,5.]], |
2212 | ["mult","*",[-5.,5.]], |
2213 | ["div" ,"/",[-5.,5.]], |
2214 | ["pow" ,"**",[0.01,5.]]]: |
2215 | for case0 in case_set: |
2216 | for sh0 in shape_set: |
2217 | for case1 in case_set: |
2218 | for sh1 in shape_set: |
2219 | if (not case0=="float" or len(sh0)==0) and (not case1=="float" or len(sh1)==0) and \ |
2220 | (sh0==() or sh1==() or sh1==sh0) and \ |
2221 | not (case0 in ["float","array"] and case1 in ["float","array"]): |
2222 | text=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
2223 | tname="test_%s_%s_rank%s_%s_rank%s"%(oper[0],case0,len(sh0),case1,len(sh1)) |
2224 | text+=" def %s(self):\n"%tname |
2225 | a_0=makeArray(sh0,oper[2]) |
2226 | if case0 in ["taggedData", "expandedData"]: |
2227 | a1_0=makeArray(sh0,oper[2]) |
2228 | else: |
2229 | a1_0=a_0 |
2230 | |
2231 | a_1=makeArray(sh1,oper[2]) |
2232 | if case1 in ["taggedData", "expandedData"]: |
2233 | a1_1=makeArray(sh1,oper[2]) |
2234 | else: |
2235 | a1_1=a_1 |
2236 | r1=makeResult2(a1_0,a1_1,"%a1%"+oper[1]+"%a2%") |
2237 | r=makeResult2(a_0,a_1,"%a1%"+oper[1]+"%a2%") |
2238 | text+=mkText(case0,"arg0",a_0,a1_0) |
2239 | text+=mkText(case1,"arg1",a_1,a1_1) |
2240 | text+=" res=arg0%sarg1\n"%oper[1] |
2241 | |
2242 | case=getResultCaseForBin(case0,case1) |
2243 | if case=="Symbol": |
2244 | c0_res,c1_res=case0,case1 |
2245 | subs="{" |
2246 | if case0=="Symbol": |
2247 | text+=mkText("array","s0",a_0,a1_0) |
2248 | subs+="arg0:s0" |
2249 | c0_res="array" |
2250 | if case1=="Symbol": |
2251 | text+=mkText("array","s1",a_1,a1_1) |
2252 | if not subs.endswith("{"): subs+="," |
2253 | subs+="arg1:s1" |
2254 | c1_res="array" |
2255 | subs+="}" |
2256 | text+=" sub=res.substitute(%s)\n"%subs |
2257 | res="sub" |
2258 | text+=mkText(getResultCaseForBin(c0_res,c1_res),"ref",r,r1) |
2259 | else: |
2260 | res="res" |
2261 | text+=mkText(case,"ref",r,r1) |
2262 | if isinstance(r,float): |
2263 | text+=mkTypeAndShapeTest(case,(),"res") |
2264 | else: |
2265 | text+=mkTypeAndShapeTest(case,r.shape,"res") |
2266 | text+=" self.failUnless(Lsup(%s-ref)<=self.RES_TOL*Lsup(ref),\"wrong result\")\n"%res |
2267 | |
2268 | if case0 in [ "constData","taggedData","expandedData"] and case1 == "Symbol": |
2269 | t_prog_failing+=text |
2270 | else: |
2271 | if case0 == "taggedData" or case1 == "taggedData": |
2272 | t_prog_with_tags+=text |
2273 | else: |
2274 | t_prog+=text |