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Revision 769 - (show annotations)
Sun Jul 2 23:58:22 2006 UTC (14 years, 9 months ago) by gross
File size: 32134 byte(s) 
A bit more tests are generated now. Ther is still a problem with the slection of the solution order.
1 #!/usr/bin/python
2 import numarray
3 import random
4 t_prog={}
5 t_prog["2Do1"]=""
6 t_prog["2Do2"]=""
7 t_prog["3Do1"]=""
8 t_prog["3Do2"]=""
9 t_prog["2Do1_reduced"]=""
10 t_prog["2Do2_reduced"]=""
11 t_prog["3Do1_reduced"]=""
12 t_prog["3Do2_reduced"]=""
13 t_prog["2Do1_contact"]=""
14 t_prog["2Do2_contact"]=""
15 t_prog["3Do1_contact"]=""
16 t_prog["3Do2_contact"]=""
17 intend=" "
18 max_order=3
19
20 def makeTitle(d,coeffo,o,s,coef,case,typ,body="",mark="",pdeargs="",add_jump=False):
21 if mark=="":
22 name="test_assemblage_%sD_solO%s_coeffO%s_NEqu%s_%s_%s_type%s"%(d,o,coeffo,s,coef,case,typ)
23 else:
24 name="test_assemblage_%sD_solO%s_coeffO%s_NEqu%s_%s_%s_type%s_comp%s"%(d,o,coeffo,s,coef,case,typ,mark)
25 if typ.lower()=="contact":
26 key="%sDo%s_contact"%(d,o)
27 elif coeffo.lower()=="reduced":
28 key="%sDo%s_reduced"%(d,o)
29 else:
30 key="%sDo%s"%(d,o)
31 t_prog[key]+=intend+"#"+50*"="+"\n"+intend+"def %s(self):\n"%name
32 t_prog[key]+=2*intend+"x=self.domain.getX()\n"
33 if add_jump:
34 t_prog[key]+=2*intend+"jump=Data(0.,(),ContinuousFunction(self.domain))\n"
35 t_prog[key]+=2*intend+"jump.setTaggedValue(2,1.)\n"
36 t_prog[key]+=body
37 t_prog[key]+=2*intend+"pde=LinearPDE(self.domain)\n"
38 t_prog[key]+=2*intend+"pde.setValue(%s)\n"%pdeargs
39 t_prog[key]+=2*intend+"r=pde.getResidual(u)\n"
40 t_prog[key]+=2*intend+"rhs=pde.getRightHandSide()\n"
41 t_prog[key]+=2*intend+"self.failUnless(Lsup(rhs)>0,\"right hand side is zero\")\n"
42 t_prog[key]+=2*intend+"self.failUnless(Lsup(r)<=self.RES_TOL*Lsup(rhs),\"residual is too big\")\n"
43
44 def getRandom():
45 out=0
46 while out==0:
47 out = int(18*random.random())-9
48 return out
49
50 def makeTestSolution(order,ncomps,dim):
51 if dim == 2:
52 out=numarray.zeros((ncomps,max_order+1,max_order+1))
53 for d1 in range(order+1):
54 for d2 in range(order+1):
55 for k in range(ncomps):
56 out[k,d1,d2]=getRandom()
57 if dim == 3:
58 out=numarray.zeros((ncomps,max_order+1,max_order+1,max_order+1))
59 for d1 in range(order+1):
60 for d2 in range(order+1):
61 for d3 in range(order+1):
62 for k in range(ncomps):
63 out[k,d1,d2,d3]=getRandom()
64 return out
65
66 def makeGradient(func,dim):
67 sh=func.shape
68 if len(sh)==dim+1:
69 sh_out=sh[:1]+(dim,)+sh[1:]
70 out=numarray.zeros(sh_out)
71 if dim==2:
72 for d1 in range(sh[1]-1):
73 for d2 in range(sh[2]-1):
74 for k in range(sh[0]):
75 out[k,0,d1,d2]=(d1+1)*func[k,d1+1,d2]
76 out[k,1,d1,d2]=(d2+1)*func[k,d1,d2+1]
77 else:
78 for d1 in range(sh[1]-1):
79 for d2 in range(sh[2]-1):
80 for d3 in range(sh[3]-1):
81 for k in range(sh[0]):
82 out[k,0,d1,d2,d3]=(d1+1)*func[k,d1+1,d2,d3]
83 out[k,1,d1,d2,d3]=(d2+1)*func[k,d1,d2+1,d3]
84 out[k,2,d1,d2,d3]=(d3+1)*func[k,d1,d2,d3+1]
85 elif len(sh)==dim+2:
86 raise RunTimeError,"sdfadsa"
87 sh_out=sh[:2]+(dim,)+sh[2:]
88 out=numarray.zeros(sh_out)
89 else:
90 raise RunTimeError,"sdfadsa"
91 return out
92
93 def makeDiv(func,dim):
94 sh=func.shape
95 if len(sh)==dim+1:
96 sh_out=(1,)+sh[1:]
97 out=numarray.zeros(sh_out)
98 if dim==2:
99 for d1 in range(sh[1]-1):
100 for d2 in range(sh[2]-1):
101 for k in range(sh[0]):
102 out[0,d1,d2]=(d1+1)*func[0,d1+1,d2]+(d2+1)*func[1,d1,d2+1]
103 else:
104 for d1 in range(sh[1]-1):
105 for d2 in range(sh[2]-1):
106 for d3 in range(sh[3]-1):
107 for k in range(sh[0]):
108 out[0,d1,d2,d3]=(d1+1)*func[0,d1+1,d2,d3]+(d2+1)*func[1,d1,d2+1,d3]+(d3+1)*func[2,d1,d2,d3+1]
109 elif len(sh)==dim+2:
110 sh_out=(sh[0],)+sh[2:]
111 out=numarray.zeros(sh_out)
112 if dim==2:
113 for d1 in range(sh[2]-1):
114 for d2 in range(sh[3]-1):
115 for k in range(sh[0]):
116 out[k,d1,d2]=(d1+1)*func[k,0,d1+1,d2]+(d2+1)*func[k,1,d1,d2+1]
117 else:
118 for d1 in range(sh[2]-1):
119 for d2 in range(sh[3]-1):
120 for d3 in range(sh[4]-1):
121 for k in range(sh[0]):
122 out[k,d1,d2,d3]=(d1+1)*func[k,0,d1+1,d2,d3]+(d2+1)*func[k,1,d1,d2+1,d3]+(d3+1)*func[k,2,d1,d2,d3+1]
123 else:
124 raise RunTimeError,"sdfadsa"
125 return out
126
127 def multiplyByFandX(f,n,func,in_index,out_shape,out_index):
128 if n==0:
129 n1=1
130 else:
131 n1=0
132 if n==1:
133 n2=1
134 else:
135 n2=0
136 if n==2:
137 n3=1
138 else:
139 n3=0
140
141 sh=func.shape
142 dim=len(sh)-len(in_index)
143 sh_out=out_shape+sh[len(in_index):]
144 out=numarray.zeros(sh_out)
145 if len(in_index)==1:
146 if len(out_index)==1:
147 if dim==2:
148 for d1 in range(n1,sh[1]):
149 for d2 in range(n2,sh[2]):
150 out[out_index[0],d1,d2]=f*func[in_index[0],d1-n1,d2-n2]
151
152 else:
153 for d1 in range(n1,sh[1]):
154 for d2 in range(n2,sh[2]):
155 for d3 in range(n3,sh[3]):
156 out[out_index[0],d1,d2,d3]=f*func[in_index[0],d1-n1,d2-n2,d3-n3]
157
158 elif len(out_index)==2:
159 if dim==2:
160 for d1 in range(n1,sh[1]):
161 for d2 in range(n2,sh[2]):
162 out[out_index[0],out_index[1],d1,d2]=f*func[in_index[0],d1-n1,d2-n2]
163 else:
164 for d1 in range(n1,sh[1]):
165 for d2 in range(n2,sh[2]):
166 for d3 in range(n3,sh[3]):
167 out[out_index[0],out_index[1],d1,d2,d3]=f*func[in_index[0],d1-n1,d2-n2,d3-n3]
168
169 else:
170 raise RunTimeError,"sdfadsa"
171
172 elif len(in_index)==2:
173 if len(out_index)==1:
174 if dim==2:
175 for d1 in range(n1,sh[2]):
176 for d2 in range(n2,sh[3]):
177 out[out_index[0],d1,d2]=f*func[in_index[0],in_index[1],d1-n1,d2-n2]
178 else:
179 for d1 in range(n1,sh[2]):
180 for d2 in range(n2,sh[3]):
181 for d3 in range(n3,sh[4]):
182 out[out_index[0],d1,d2,d3]=f*func[in_index[0],in_index[1],d1-n1,d2-n2,d3-n3]
183
184 elif len(out_index)==2:
185 if dim==2:
186 for d1 in range(n1,sh[2]):
187 for d2 in range(n2,sh[3]):
188 out[out_index[0],out_index[1],d1,d2]=f*func[in_index[0],in_index[1],d1-n1,d2-n2]
189 else:
190 for d1 in range(n1,sh[2]):
191 for d2 in range(n2,sh[3]):
192 for d3 in range(n3,sh[4]):
193 out[out_index[0],out_index[1],d1,d2,d3]=f*func[in_index[0],in_index[1],d1-n1,d2-n2,d3-n3]
194
195 else:
196 raise RunTimeError,"sdfadsa"
197 else:
198 raise RunTimeError,"sdfadsa"
199 return out
200
201 def powTextforX(c,e):
202 if e==0:
203 out=""
204 elif e==1:
205 out="x[%s]"%c
206 else:
207 out="x[%s]**%s"%(c,e)
208 return out
209 def multTextFactors(*txt):
210 out=""
211 for t in txt:
212 if len(t)>0:
213 if len(out)==0:
214 out=t
215 else:
216 out+="*"+t
217 return out
218
219 def addSumTermText(txt,f,fac):
220 if len(fac)>0:
221 fac2="*"+fac
222 if f>0:
223 if f==1:
224 if len(txt)==0:
225 out="%s"%fac
226 else:
227 out="+%s"%fac
228 else:
229 if len(txt)==0:
230 out="%s%s"%(f,fac2)
231 else:
232 out="+%s%s"%(f,fac2)
233 elif f<0:
234 if f==1:
235 out="-%s"%fac
236 else:
237 if len(txt)==0:
238 out="(-%s)%s"%(-f,fac2)
239 else:
240 out="-%s%s"%(-f,fac2)
241 else:
242 out=""
243 else:
244 if f>0:
245 if f==1:
246 if len(txt)==0:
247 out="1"
248 else:
249 out="+1"
250 else:
251 if len(txt)==0:
252 out="%s"%f
253 else:
254 out="+%s"%f
255 elif f<0:
256 if f==1:
257 out="-1"
258 else:
259 if len(txt)==0:
260 out="(-%s)"%(-f,)
261 else:
262 out="-%s"%(-f,)
263 else:
264 out=""
265
266 return txt+out
267
268 def makeTermText(func):
269 sh=func.shape
270 out=""
271 if len(sh)==2:
272 for d1 in range(sh[0]):
273 for d2 in range(sh[1]):
274 fac=multTextFactors(powTextforX(0,d1),powTextforX(1,d2))
275 out=addSumTermText(out,func[d1,d2],fac)
276 else:
277 for d1 in range(sh[0]):
278 for d2 in range(sh[1]):
279 for d3 in range(sh[2]):
280 fac=multTextFactors(powTextforX(0,d1),powTextforX(1,d2),powTextforX(2,d3))
281 out=addSumTermText(out,func[d1,d2,d3],fac)
282 if len(out)==0:
283 return "0"
284 else:
285 return out
286 def makeContactDerivativeText(func,dim,func_name):
287 sh=func.shape
288 out=2*intend+"n_contact=FunctionOnContactZero(self.domain).getNormal()\n"
289 if len(sh)==dim+2:
290 if sh[0]==1:
291 out2=""
292 for j in range(sh[1]):
293 t=makeTermText(func[0,j])
294 if not t == "0":
295 if j==0:
296 if len(out2)>0: out2+="+"
297 out2+=t
298 if len(out2)==0:
299 out+=2*intend+"%s=%s\n"%(func_name,0)
300 else:
301 out+=2*intend+"%s=n_contact[0]*(%s)\n"%(func_name,out2)
302 else:
303 out+=2*intend+"%s=Data(0.,%s,FunctionOnContactZero(self.domain))\n"%(func_name,str(tuple(sh[:1])))
304 for i in range(sh[0]):
305 out2=""
306 for j in range(sh[1]):
307 t=makeTermText(func[i,j])
308 if not t == "0":
309 if j==0:
310 if len(out2)>0: out2+="+"
311 out2+="%s"%t
312 if len(out2)>0:
313 out+=2*intend+"%s[%s]=n_contact[0]*(%s)\n"%(func_name,i,out2)
314 else:
315 raise RunTimeError,"KKK"
316 return out
317
318 def makeNormalDerivativeText(func,dim,func_name,add_jump=False):
319 sh=func.shape
320 out=""
321 if add_jump:
322 extra=")*jump"
323 extra_pre="("
324 else:
325 extra=""
326 extra_pre=""
327
328 out=2*intend+"x_boundary=FunctionOnBoundary(self.domain).getX()\n"
329 if dim==3:
330 out+=2*intend+"n=%swhereZero(x_boundary[0] ,self.ABS_TOL)*numarray.array([-1., 0., 0.])"%extra_pre
331 out+="+whereZero(x_boundary[0]-1.,self.ABS_TOL)*numarray.array([ 1., 0., 0.])"
332 out+="+whereZero(x_boundary[1] ,self.ABS_TOL)*numarray.array([ 0.,-1., 0.])"
333 out+="+whereZero(x_boundary[1]-1.,self.ABS_TOL)*numarray.array([ 0., 1., 0.])"
334 out+="+whereZero(x_boundary[2] ,self.ABS_TOL)*numarray.array([ 0., 0.,-1.])"
335 out+="+whereZero(x_boundary[2]-1.,self.ABS_TOL)*numarray.array([ 0., 0., 1.])%s\n"%extra
336 else:
337 out+=2*intend+"n=%swhereZero(x_boundary[0] ,self.ABS_TOL)*numarray.array([-1., 0.])"%extra_pre
338 out+="+whereZero(x_boundary[0]-1.,self.ABS_TOL)*numarray.array([ 1., 0.])"
339 out+="+whereZero(x_boundary[1] ,self.ABS_TOL)*numarray.array([ 0.,-1.])"
340 out+="+whereZero(x_boundary[1]-1.,self.ABS_TOL)*numarray.array([ 0., 1.])%s\n"%extra
341 if len(sh)==dim+2:
342 if sh[0]==1:
343 out2=""
344 for j in range(sh[1]):
345 t=makeTermText(func[0,j])
346 if not t == "0":
347 if len(out2)>0: out2+="+"
348 out2+="n[%s]*(%s)"%(j,t)
349 if len(out2)==0:
350 out+=2*intend+"%s=%s\n"%(func_name,0)
351 else:
352 out+=2*intend+"%s=%s%s%s\n"%(func_name,extra_pre,out2,extra)
353 else:
354 out+=2*intend+"%s=Data(0.,%s,FunctionOnBoundary(self.domain))\n"%(func_name,str(tuple(sh[:1])))
355 for i in range(sh[0]):
356 out2=""
357 for j in range(sh[1]):
358 t=makeTermText(func[i,j])
359 if not t == "0":
360 if len(out2)>0: out2+="+"
361 out2+="n[%s]*(%s)"%(j,t)
362 if len(out2)>0:
363 out+=2*intend+"%s[%s]=%s%s%s\n"%(func_name,i,extra_pre,out2,extra)
364 else:
365 raise RunTimeError,"KKK"
366 return out
367
368 def makeFunctionText(func,dim,func_name,add_jump=False):
369 sh=func.shape
370 out=""
371 if add_jump:
372 extra=")*jump"
373 extra_pre="("
374 else:
375 extra=""
376 extra_pre=""
377
378 if len(sh)==dim:
379 out+=2*intend+"%s=%s%s%s\n"%(func_name,extra_pre,makeTermText(func),extra)
380 elif len(sh)==dim+1:
381 if sh[0]==1:
382 out+=2*intend+"%s=%s%s%s\n"%(func_name,extra_pre,makeTermText(func[0]),extra)
383 else:
384 out+=2*intend+"%s=Data(0.,%s,ContinuousFunction(self.domain))\n"%(func_name,str(tuple(sh[:1])))
385 for i in range(sh[0]):
386 t=makeTermText(func[i])
387 if not t=="0": out+=2*intend+"%s[%s]=%s%s%s\n"%(func_name,i,extra_pre,t,extra)
388 elif len(sh)==dim+2:
389 if sh[0]==1:
390 if sh[1]==1:
391 out+=2*intend+"%s=%s%s%s\n"%(func_name,extra_pre,makeTermText(func[0,0]),extra)
392 else:
393 out+=2*intend+"%s=Data(0.,%s,ContinuousFunction(self.domain))\n"%(func_name,str(tuple(sh[1:2])))
394 for j in range(sh[1]):
395 t=makeTermText(func[0,j])
396 if not t=="0": out+=2*intend+"%s[%s]=%s%s%s\n"%(func_name,j,extra_pre,t,extra)
397 else:
398 if sh[1]==1:
399 out+=2*intend+"%s=Data(0.,%s,ContinuousFunction(self.domain))\n"%(func_name,str(tuple(sh[:1])))
400 for i in range(sh[0]):
401 t=makeTermText(func[i,0])
402 if not t=="0": out+=2*intend+"%s[%s]=%s%s%s\n"%(func_name,i,extra_pre,t,extra)
403 else:
404 out+=2*intend+"%s=Data(0.,%s,ContinuousFunction(self.domain))\n"%(func_name,str(tuple(sh[:2])))
405 for i in range(sh[0]):
406 for j in range(sh[1]):
407 t=makeTermText(func[i,j])
408 if not t=="0": out+=2*intend+"%s[%s,%s]=%s%s%s\n"%(func_name,i,j,extra_pre,t,extra)
409 return out
410 for s in [1,2,3]:
411 for d in [2,3]:
412 for typ in ["Strong","Weak", "Contact"]:
413 for coffo in ["Full", "Reduced" ]:
414 if coffo=="Full":
415 func_i="Function"
416 else:
417 func_i="ReducedFunction"
418 for case in ["Const", "Vario" ]:
419 for solo in [1, 2 ]:
420 order=solo
421 if typ in ["Strong","Weak"]:
422 # coefficient A:
423 if s==1:
424 for i in range(d):
425 for j in range(d):
426 test_func=makeTestSolution(order,s,d)
427 grad_test_func=makeGradient(test_func,d)
428 body2=makeFunctionText(test_func,d,"u")
429 body2+=2*intend+"A_test=Data(0.,(%d,%d),%s(self.domain))\n"%(d,d,func_i)
430 if case == "Const" :
431 f=int(8*random.random())+1
432 body2+=2*intend+"A_test[%d,%d]=%s\n"%(i,j,f)
433 A_x_grad=multiplyByFandX(f,-1,grad_test_func,(0,j),(1,d),(0,i))
434 else:
435 body2+=2*intend+"A_test[%d,%d]=x[%s]\n"%(i,j,i)
436 A_x_grad=multiplyByFandX(1.,i,grad_test_func,(0,j),(1,d),(0,i))
437 if typ=="Weak":
438 body2+=makeFunctionText(A_x_grad,d,"X_test")
439 args="A=A_test, X=X_test"
440 else:
441 div_A_x_grad=makeDiv(A_x_grad,d)
442 body2+=makeFunctionText(-div_A_x_grad,d,"Y_test")
443 body2+=makeNormalDerivativeText(A_x_grad,d,"y_test")
444 args="A=A_test, Y=Y_test, y=y_test"
445
446 makeTitle(d,coffo,solo,s,"A",case,typ,body2,mark="%s%s"%(i,j),pdeargs=args)
447 else:
448 for p in range(s):
449 for i in range(d):
450 for q in range(s):
451 for j in range(d):
452 test_func=makeTestSolution(order,s,d)
453 grad_test_func=makeGradient(test_func,d)
454 body2=makeFunctionText(test_func,d,"u")
455 body2+=2*intend+"A_test=Data(0.,(%d,%d,%d,%d),%s(self.domain))\n"%(s,d,s,d,func_i)
456 if case == "Const" :
457 f=int(8*random.random())+1
458 body2+=2*intend+"A_test[%d,%d,%d,%d]=%s\n"%(p,i,q,j,f)
459 A_x_grad=multiplyByFandX(f,-1,grad_test_func,(q,j),(s,d),(p,i))
460 else:
461 body2+=2*intend+"A_test[%d,%d,%d,%d]=x[%s]\n"%(p,i,q,j,i)
462 A_x_grad=multiplyByFandX(1.,i,grad_test_func,(q,j),(s,d),(p,i))
463 if typ=="Weak":
464 body2+=makeFunctionText(A_x_grad,d,"X_test")
465 args="A=A_test, X=X_test"
466 else:
467 div_A_x_grad=makeDiv(A_x_grad,d)
468 body2+=makeFunctionText(-div_A_x_grad,d,"Y_test")
469 body2+=makeNormalDerivativeText(A_x_grad,d,"y_test")
470 args="A=A_test, Y=Y_test, y=y_test"
471 makeTitle(d,coffo,solo,s,"A",case,typ,body2,mark="%s%s%s%s"%(p,i,q,j),pdeargs=args)
472 # coefficient B:
473 if typ in ["Strong","Weak"] or coffo=="Full":
474 if s==1:
475 for i in range(d):
476 test_func=makeTestSolution(order,s,d)
477 body2=makeFunctionText(test_func,d,"u")
478 body2+=2*intend+"B_test=Data(0.,(%d,),%s(self.domain))\n"%(d,func_i)
479 if case == "Const" :
480 f=int(8*random.random())+1
481 body2+=2*intend+"B_test[%d]=%s\n"%(i,f)
482 B=multiplyByFandX(f,-1,test_func,(0,),(1,d),(0,i))
483 else:
484 body2+=2*intend+"B_test[%d]=x[%i]\n"%(i,i)
485 B=multiplyByFandX(1.,i,test_func,(0,),(1,d),(0,i))
486 if typ=="Weak":
487 body2+=makeFunctionText(B,d,"X_test")
488 args="B=B_test, X=X_test"
489 elif typ=="Strong":
490 div_B=makeDiv(B,d)
491 body2+=makeFunctionText(-div_B,d,"Y_test")
492 body2+=makeNormalDerivativeText(B,d,"y_test")
493 args="B=B_test, Y=Y_test, y=y_test"
494 else:
495 div_B=makeDiv(B,d)
496 body2+=makeFunctionText(-div_B,d,"Y_test")
497 body2+=makeNormalDerivativeText(B,d,"y_test")
498 body2+=makeContactDerivativeText(-B,d,"y_contact_test")
499 args="B=B_test, Y=Y_test, y=y_test, y_contact=y_contact_test"
500 makeTitle(d,coffo,solo,s,"B",case,typ,body2,mark="%s"%(i),pdeargs=args)
501 else:
502 for p in range(s):
503 for i in range(d):
504 for q in range(s):
505 test_func=makeTestSolution(order,s,d)
506 grad_test_func=makeGradient(test_func,d)
507 body2=makeFunctionText(test_func,d,"u")
508 body2+=2*intend+"B_test=Data(0.,(%d,%d,%d),%s(self.domain))\n"%(s,d,s,func_i)
509 if case == "Const" :
510 f=int(8*random.random())+1
511 body2+=2*intend+"B_test[%d,%d,%d]=%s\n"%(p,i,q,f)
512 B=multiplyByFandX(f,-1,test_func,(q,),(s,d),(p,i))
513 else:
514 body2+=2*intend+"B_test[%d,%d,%d]=x[%i]\n"%(p,i,q,i)
515 B=multiplyByFandX(1.,i,test_func,(q,),(s,d),(p,i))
516 if typ=="Weak":
517 body2+=makeFunctionText(B,d,"X_test")
518 args="B=B_test, X=X_test"
519 elif typ=="Strong":
520 div_B=makeDiv(B,d)
521 body2+=makeFunctionText(-div_B,d,"Y_test")
522 body2+=makeNormalDerivativeText(B,d,"y_test")
523 args="B=B_test, Y=Y_test, y=y_test"
524 else:
525 div_B=makeDiv(B,d)
526 body2+=makeFunctionText(-div_B,d,"Y_test")
527 body2+=makeNormalDerivativeText(B,d,"y_test")
528 body2+=makeContactDerivativeText(-B,d,"y_contact_test")
529 args="B=B_test, Y=Y_test, y=y_test, y_contact=y_contact_test"
530 makeTitle(d,coffo,solo,s,"B",case,typ,body2,mark="%s%s%s"%(p,i,q),pdeargs=args)
531 if typ=="Strong":
532 # coefficient C:
533 if s==1:
534 for j in range(d):
535 test_func=makeTestSolution(order,s,d)
536 grad_test_func=makeGradient(test_func,d)
537 body2=makeFunctionText(test_func,d,"u")
538 body2+=2*intend+"C_test=Data(0.,(%d,),%s(self.domain))\n"%(d,func_i)
539 if case == "Const" :
540 f=int(8*random.random())+1
541 body2+=2*intend+"C_test[%d]=%s\n"%(j,f)
542 C_x_grad=multiplyByFandX(f,-1,grad_test_func,(0,j),(1,),(0,))
543 else:
544 body2+=2*intend+"C_test[%d]=x[%i]\n"%(j,j)
545 C_x_grad=multiplyByFandX(1,j,grad_test_func,(0,j),(1,),(0,))
546 body2+=makeFunctionText(C_x_grad,d,"Y_test")
547 args="C=C_test, Y=Y_test"
548 makeTitle(d,coffo,solo,s,"C",case,typ,body2,mark="%s"%(j),pdeargs=args)
549 else:
550 for p in range(s):
551 for q in range(s):
552 for j in range(d):
553 test_func=makeTestSolution(order,s,d)
554 grad_test_func=makeGradient(test_func,d)
555 body2=makeFunctionText(test_func,d,"u")
556 body2+=2*intend+"C_test=Data(0.,(%d,%d,%d),%s(self.domain))\n"%(s,s,d,func_i)
557 if case == "Const" :
558 f=int(8*random.random())+1
559 body2+=2*intend+"C_test[%d,%d,%d]=%s\n"%(p,q,j,f)
560 C_x_grad=multiplyByFandX(f,-1,grad_test_func,(q,j),(s,),(p,))
561 else:
562 body2+=2*intend+"C_test[%d,%d,%d]=x[%i]\n"%(p,q,j,j)
563 C_x_grad=multiplyByFandX(1.,j,grad_test_func,(q,j),(s,),(p,))
564 args="C=C_test, Y=Y_test"
565 body2+=makeFunctionText(C_x_grad,d,"Y_test")
566 makeTitle(d,coffo,solo,s,"C",case,typ,body2,mark="%s%s%s"%(p,q,j),pdeargs=args)
567 # coefficient D:
568 if s==1:
569 if case == "Const" :
570 test_func=makeTestSolution(order,s,d)
571 else:
572 test_func=makeTestSolution(order-1,s,d)
573 body2=makeFunctionText(test_func,d,"u")
574 if case == "Const" :
575 f=int(8*random.random())+1
576 body2+=2*intend+"D_test=Data(%s,(),%s(self.domain))\n"%(f,func_i)
577 D=multiplyByFandX(f,-1,test_func,(0,),(1,),(0,))
578 else:
579 body2+=2*intend+"D_test=%s(self.domain).getX()[0]\n"%func_i
580 D=multiplyByFandX(1,0,test_func,(0,),(1,),(0,))
581 args="D=D_test, Y=Y_test"
582 body2+=makeFunctionText(D,d,"Y_test")
583 makeTitle(d,coffo,solo,s,"D",case,typ,body2,mark="",pdeargs=args)
584 else:
585 for p in range(s):
586 for q in range(s):
587 if case == "Const" :
588 test_func=makeTestSolution(order,s,d)
589 else:
590 test_func=makeTestSolution(order-1,s,d)
591 body2=makeFunctionText(test_func,d,"u")
592 body2+=2*intend+"D_test=Data(0.,(%d,%d),%s(self.domain))\n"%(s,s,func_i)
593 if case == "Const" :
594 f=int(8*random.random())+1
595 body2+=2*intend+"D_test[%d,%d]=%s\n"%(p,q,f)
596 D=multiplyByFandX(f,-1,test_func,(q,),(s,),(p,))
597 else:
598 body2+=2*intend+"D_test[%d,%d]=x[0]\n"%(p,q)
599 D=multiplyByFandX(1.,0,test_func,(q,),(s,),(p,))
600 args="D=D_test, Y=Y_test"
601 body2+=makeFunctionText(D,d,"Y_test")
602 makeTitle(d,coffo,solo,s,"D",case,typ,body2,mark="%s%s"%(p,q),pdeargs=args)
603 if coffo=="Full":
604 # coefficient d:
605 if typ == "Strong":
606 if s==1:
607 if case == "Const" :
608 test_func=makeTestSolution(order,s,d)
609 else:
610 test_func=makeTestSolution(order-1,s,d)
611 body2=makeFunctionText(test_func,d,"u")
612 if case == "Const" :
613 f=int(8*random.random())+1
614 body2+=2*intend+"d_test=Data(%s,(),FunctionOnBoundary(self.domain))\n"%(f,)
615 D=multiplyByFandX(f,-1,test_func,(0,),(1,),(0,))
616 else:
617 body2+=2*intend+"d_test=interpolate(x[0],FunctionOnBoundary(self.domain))\n"
618 D=multiplyByFandX(1.,0,test_func,(0,),(1,),(0,))
619 body2+=makeFunctionText(D,d,"y_test")
620 args="d=d_test, y=y_test"
621 makeTitle(d,coffo,solo,s,"d",case,typ,body2,mark="",pdeargs=args)
622 else:
623 for p in range(s):
624 for q in range(s):
625 if case == "Const" :
626 test_func=makeTestSolution(order,s,d)
627 else:
628 test_func=makeTestSolution(order-1,s,d)
629 body2=makeFunctionText(test_func,d,"u")
630 body2+=2*intend+"d_test=Data(0.,(%d,%d),FunctionOnBoundary(self.domain))\n"%(s,s)
631 if case == "Const" :
632 f=int(8*random.random())+1
633 body2+=2*intend+"d_test[%d,%d]=%s\n"%(p,q,f)
634 D=multiplyByFandX(f,-1,test_func,(q,),(s,),(p,))
635 else:
636 body2+=2*intend+"d_test[%d,%d]=x[0]\n"%(p,q)
637
638 D=multiplyByFandX(1.,0,test_func,(q,),(s,),(p,))
639 args="d=d_test, y=y_test"
640 body2+=makeFunctionText(D,d,"y_test")
641 makeTitle(d,coffo,solo,s,"d",case,typ,body2,mark="%s%s"%(p,q),pdeargs=args)
642 # coefficient d_contact:
643 if typ == "Contact":
644 if s==1:
645 if case == "Const" :
646 test_func=makeTestSolution(order,s,d)
647 else:
648 test_func=makeTestSolution(order-1,s,d)
649
650 body2=makeFunctionText(test_func,d,"u",add_jump=True)
651 if case == "Const" :
652 f=int(8*random.random())+1
653 body2+=2*intend+"d_contact_test=Data(%s,(),FunctionOnContactZero(self.domain))\n"%(f,)
654 D=multiplyByFandX(f,-1,test_func,(0,),(1,),(0,))
655 else:
656 body2+=2*intend+"d_contact_test=interpolate(x[0],FunctionOnContactZero(self.domain))\n"
657 D=multiplyByFandX(1.,0,test_func,(0,),(1,),(0,))
658 body2+=makeFunctionText(D,d,"y_contact_test")
659 args="d_contact=d_contact_test, y_contact=y_contact_test"
660 makeTitle(d,coffo,solo,s,"d_contact",case,typ,body2,mark="",pdeargs=args,add_jump=True)
661 else:
662 for p in range(s):
663 for q in range(s):
664 if case == "Const" :
665 test_func=makeTestSolution(order,s,d)
666 else:
667 test_func=makeTestSolution(order-1,s,d)
668
669 body2=makeFunctionText(test_func,d,"u",add_jump=True)
670 body2+=2*intend+"d_contact_test=Data(0.,(%d,%d),FunctionOnContactZero(self.domain))\n"%(s,s)
671 if case == "Const" :
672 f=int(8*random.random())+1
673 body2+=2*intend+"d_contact_test[%d,%d]=%s\n"%(p,q,f)
674 D=multiplyByFandX(f,-1,test_func,(q,),(s,),(p,))
675 else:
676 body2+=2*intend+"d_contact_test[%d,%d]=x[0]\n"%(p,q)
677 D=multiplyByFandX(1.,0,test_func,(q,),(s,),(p,))
678 body2+=makeFunctionText(D,d,"y_contact_test")
679 args="d_contact=d_contact_test, y_contact=y_contact_test"
680 makeTitle(d,coffo,solo,s,"d_contact",case,typ,body2,mark="%s%s"%(p,q),pdeargs=args,add_jump=True
681 )
682 #================================
683 print "import unittest"
684 print "import numarray"
685 print "from esys.escript import *"
686 print "from esys.finley import Rectangle,Brick"
687 print "class Test_assemblage_2Do1(unittest.TestCase):"
688 print t_prog["2Do1"]
689 print "class Test_assemblage_2Do1_Reduced(unittest.TestCase):"
690 print t_prog["2Do1_reduced"]
691 print "class Test_assemblage_2Do1_Contact(unittest.TestCase):"
692 print t_prog["2Do1_contact"]
693
694 #print "class Test_assemblage_2Do2(unittest.TestCase):"
695 #print t_prog["2Do2"]
696 #print "class Test_assemblage_2Do2_Reduced(unittest.TestCase):"
697 #print t_prog["2Do2_reduced"]
698 #print "class Test_assemblage_2Do2_Contact(unittest.TestCase):"
699 #print t_prog["2Do2_contact"]
700
701 #print "class Test_assemblage_3Do1(unittest.TestCase):"
702 #print t_prog["3Do1"]
703 #print "class Test_assemblage_3Do1_Reduced(unittest.TestCase):"
704 #print t_prog["3Do1_reduced"]
705 #print "class Test_assemblage_3Do1_Contact(unittest.TestCase):"
706 #print t_prog["3Do1_contact"]
707
708 #print "class Test_assemblage_3Do2(unittest.TestCase):"
709 #print t_prog["3Do2"]
710 #print "class Test_assemblage_3Do2_Reduced(unittest.TestCase):"
711 #print t_prog["3Do2_reduced"]
712 #print "class Test_assemblage_3Do2_contact(unittest.TestCase):"
713 #print t_prog["3Do2_contact"]
714
715
716 print "from esys.escript import *"
717 print "from esys.finley import *"
718 print "from esys.escript.linearPDEs import LinearPDE"
719 print "import numarray"
720 print "import unittest"
721 print "NE=2 # number of element sin each spatial direction (must be even)"
722
723 print "class Test_Finley_assemblage_2Do1(Test_assemblage_2Do1):"
724 print " RES_TOL=1.e-7"
725 print " ABS_TOL=1.e-8"
726 print " def setUp(self):"
727 print " self.domain =Rectangle(NE,NE,1)"
728 print "class Test_Finley_assemblage_2Do1_Contact(Test_assemblage_2Do1_Contact):"
729 print " RES_TOL=1.e-7"
730 print " ABS_TOL=1.e-8"
731 print " def setUp(self):"
732 print " d1 = Rectangle(n0=int(NE/2),n1=NE,l0=0.5,order=1,useElementsOnFace=True)"
733 print " x1 = ContinuousFunction(d1).getX()"
734 print " ContinuousFunction(d1).setTags(1,Scalar(1,ContinuousFunction(d1)))"
735 print " d2 = Rectangle(n0=int(NE/2),n1=NE,l0=0.5,order=1,useElementsOnFace=True)"
736 print " ContinuousFunction(d2).setTags(2,Scalar(1,ContinuousFunction(d2)))"
737 print " d2.setX(d2.getX()+[0.5,0.])"
738 print " self.domain = JoinFaces([d1,d2])"
739 print "suite = unittest.TestSuite()"
740 print "suite.addTest(unittest.makeSuite(Test_Finley_assemblage_2Do1))"
741 print "suite.addTest(unittest.makeSuite(Test_Finley_assemblage_2Do1_Contact))"
742 print "unittest.TextTestRunner(verbosity=2).run(suite)"
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