| 1 |
#!/usr/bin/python |
| 2 |
import numarray |
| 3 |
import random |
| 4 |
t_prog={} |
| 5 |
t_prog["2Do1_strong"]="" |
| 6 |
t_prog["2Do2_strong"]="" |
| 7 |
t_prog["3Do1_strong"]="" |
| 8 |
t_prog["3Do2_strong"]="" |
| 9 |
t_prog["2Do1_weak"]="" |
| 10 |
t_prog["2Do2_weak"]="" |
| 11 |
t_prog["3Do1_weak"]="" |
| 12 |
t_prog["3Do2_weak"]="" |
| 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_neq%s_%s_%s_type%s"%(d,o,coeffo,s,coef,case,typ) |
| 23 |
else: |
| 24 |
name="test_assemblage_%sD_solO%s_coeffO%s_neq%s_%s_%s_type%s_comp%s"%(d,o,coeffo,s,coef,case,typ,mark) |
| 25 |
key="%sDo%s_%s"%(d,o,typ.lower()) |
| 26 |
t_prog[key]+=intend+"#"+50*"="+"\n"+intend+"def %s(self):\n"%name |
| 27 |
t_prog[key]+=2*intend+"x=self.domain.getX()\n" |
| 28 |
if add_jump: |
| 29 |
t_prog[key]+=2*intend+"jump=Data(0.,(),ContinuousFunction(self.domain))\n" |
| 30 |
t_prog[key]+=2*intend+"jump.setTaggedValue(2,1.)\n" |
| 31 |
t_prog[key]+=body |
| 32 |
t_prog[key]+=2*intend+"pde=LinearPDE(self.domain)\n" |
| 33 |
t_prog[key]+=2*intend+"pde.setValue(%s)\n"%pdeargs |
| 34 |
t_prog[key]+=2*intend+"r=pde.getResidual(u)\n" |
| 35 |
t_prog[key]+=2*intend+"rhs=pde.getRightHandSide()\n" |
| 36 |
t_prog[key]+=2*intend+"self.failUnless(Lsup(rhs)>0,\"right hand side is zero\")\n" |
| 37 |
t_prog[key]+=2*intend+"self.failUnless(Lsup(r)<=self.RES_TOL*Lsup(rhs),\"residual is too big\")\n" |
| 38 |
|
| 39 |
def getRandom(): |
| 40 |
out=0 |
| 41 |
while out==0: |
| 42 |
out = int(18*random.random())-9 |
| 43 |
return out |
| 44 |
|
| 45 |
def makeTestSolution(order,ncomps,dim): |
| 46 |
if dim == 2: |
| 47 |
out=numarray.zeros((ncomps,max_order+1,max_order+1)) |
| 48 |
for d1 in range(order+1): |
| 49 |
for d2 in range(order+1): |
| 50 |
for k in range(ncomps): |
| 51 |
out[k,d1,d2]=getRandom() |
| 52 |
if dim == 3: |
| 53 |
out=numarray.zeros((ncomps,max_order+1,max_order+1,max_order+1)) |
| 54 |
for d1 in range(order+1): |
| 55 |
for d2 in range(order+1): |
| 56 |
for d3 in range(order+1): |
| 57 |
for k in range(ncomps): |
| 58 |
out[k,d1,d2,d3]=getRandom() |
| 59 |
return out |
| 60 |
|
| 61 |
def makeGradient(func,dim): |
| 62 |
sh=func.shape |
| 63 |
if len(sh)==dim+1: |
| 64 |
sh_out=sh[:1]+(dim,)+sh[1:] |
| 65 |
out=numarray.zeros(sh_out) |
| 66 |
if dim==2: |
| 67 |
for d1 in range(sh[1]-1): |
| 68 |
for d2 in range(sh[2]-1): |
| 69 |
for k in range(sh[0]): |
| 70 |
out[k,0,d1,d2]=(d1+1)*func[k,d1+1,d2] |
| 71 |
out[k,1,d1,d2]=(d2+1)*func[k,d1,d2+1] |
| 72 |
else: |
| 73 |
for d1 in range(sh[1]-1): |
| 74 |
for d2 in range(sh[2]-1): |
| 75 |
for d3 in range(sh[3]-1): |
| 76 |
for k in range(sh[0]): |
| 77 |
out[k,0,d1,d2,d3]=(d1+1)*func[k,d1+1,d2,d3] |
| 78 |
out[k,1,d1,d2,d3]=(d2+1)*func[k,d1,d2+1,d3] |
| 79 |
out[k,2,d1,d2,d3]=(d3+1)*func[k,d1,d2,d3+1] |
| 80 |
elif len(sh)==dim+2: |
| 81 |
raise RunTimeError,"sdfadsa" |
| 82 |
sh_out=sh[:2]+(dim,)+sh[2:] |
| 83 |
out=numarray.zeros(sh_out) |
| 84 |
else: |
| 85 |
raise RunTimeError,"sdfadsa" |
| 86 |
return out |
| 87 |
|
| 88 |
def makeDiv(func,dim): |
| 89 |
sh=func.shape |
| 90 |
if len(sh)==dim+1: |
| 91 |
sh_out=(1,)+sh[1:] |
| 92 |
out=numarray.zeros(sh_out) |
| 93 |
if dim==2: |
| 94 |
for d1 in range(sh[1]-1): |
| 95 |
for d2 in range(sh[2]-1): |
| 96 |
for k in range(sh[0]): |
| 97 |
out[0,d1,d2]=(d1+1)*func[0,d1+1,d2]+(d2+1)*func[1,d1,d2+1] |
| 98 |
else: |
| 99 |
for d1 in range(sh[1]-1): |
| 100 |
for d2 in range(sh[2]-1): |
| 101 |
for d3 in range(sh[3]-1): |
| 102 |
for k in range(sh[0]): |
| 103 |
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] |
| 104 |
elif len(sh)==dim+2: |
| 105 |
sh_out=(sh[0],)+sh[2:] |
| 106 |
out=numarray.zeros(sh_out) |
| 107 |
if dim==2: |
| 108 |
for d1 in range(sh[2]-1): |
| 109 |
for d2 in range(sh[3]-1): |
| 110 |
for k in range(sh[0]): |
| 111 |
out[k,d1,d2]=(d1+1)*func[k,0,d1+1,d2]+(d2+1)*func[k,1,d1,d2+1] |
| 112 |
else: |
| 113 |
for d1 in range(sh[2]-1): |
| 114 |
for d2 in range(sh[3]-1): |
| 115 |
for d3 in range(sh[4]-1): |
| 116 |
for k in range(sh[0]): |
| 117 |
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] |
| 118 |
else: |
| 119 |
raise RunTimeError,"sdfadsa" |
| 120 |
return out |
| 121 |
|
| 122 |
def multiplyByFandX(f,n,func,in_index,out_shape,out_index): |
| 123 |
if n==0: |
| 124 |
n1=1 |
| 125 |
else: |
| 126 |
n1=0 |
| 127 |
if n==1: |
| 128 |
n2=1 |
| 129 |
else: |
| 130 |
n2=0 |
| 131 |
if n==2: |
| 132 |
n3=1 |
| 133 |
else: |
| 134 |
n3=0 |
| 135 |
|
| 136 |
sh=func.shape |
| 137 |
dim=len(sh)-len(in_index) |
| 138 |
sh_out=out_shape+sh[len(in_index):] |
| 139 |
out=numarray.zeros(sh_out) |
| 140 |
if len(in_index)==1: |
| 141 |
if len(out_index)==1: |
| 142 |
if dim==2: |
| 143 |
for d1 in range(n1,sh[1]): |
| 144 |
for d2 in range(n2,sh[2]): |
| 145 |
out[out_index[0],d1,d2]=f*func[in_index[0],d1-n1,d2-n2] |
| 146 |
|
| 147 |
else: |
| 148 |
for d1 in range(n1,sh[1]): |
| 149 |
for d2 in range(n2,sh[2]): |
| 150 |
for d3 in range(n3,sh[3]): |
| 151 |
out[out_index[0],d1,d2,d3]=f*func[in_index[0],d1-n1,d2-n2,d3-n3] |
| 152 |
|
| 153 |
elif len(out_index)==2: |
| 154 |
if dim==2: |
| 155 |
for d1 in range(n1,sh[1]): |
| 156 |
for d2 in range(n2,sh[2]): |
| 157 |
out[out_index[0],out_index[1],d1,d2]=f*func[in_index[0],d1-n1,d2-n2] |
| 158 |
else: |
| 159 |
for d1 in range(n1,sh[1]): |
| 160 |
for d2 in range(n2,sh[2]): |
| 161 |
for d3 in range(n3,sh[3]): |
| 162 |
out[out_index[0],out_index[1],d1,d2,d3]=f*func[in_index[0],d1-n1,d2-n2,d3-n3] |
| 163 |
|
| 164 |
else: |
| 165 |
raise RunTimeError,"sdfadsa" |
| 166 |
|
| 167 |
elif len(in_index)==2: |
| 168 |
if len(out_index)==1: |
| 169 |
if dim==2: |
| 170 |
for d1 in range(n1,sh[2]): |
| 171 |
for d2 in range(n2,sh[3]): |
| 172 |
out[out_index[0],d1,d2]=f*func[in_index[0],in_index[1],d1-n1,d2-n2] |
| 173 |
else: |
| 174 |
for d1 in range(n1,sh[2]): |
| 175 |
for d2 in range(n2,sh[3]): |
| 176 |
for d3 in range(n3,sh[4]): |
| 177 |
out[out_index[0],d1,d2,d3]=f*func[in_index[0],in_index[1],d1-n1,d2-n2,d3-n3] |
| 178 |
|
| 179 |
elif len(out_index)==2: |
| 180 |
if dim==2: |
| 181 |
for d1 in range(n1,sh[2]): |
| 182 |
for d2 in range(n2,sh[3]): |
| 183 |
out[out_index[0],out_index[1],d1,d2]=f*func[in_index[0],in_index[1],d1-n1,d2-n2] |
| 184 |
else: |
| 185 |
for d1 in range(n1,sh[2]): |
| 186 |
for d2 in range(n2,sh[3]): |
| 187 |
for d3 in range(n3,sh[4]): |
| 188 |
out[out_index[0],out_index[1],d1,d2,d3]=f*func[in_index[0],in_index[1],d1-n1,d2-n2,d3-n3] |
| 189 |
|
| 190 |
else: |
| 191 |
raise RunTimeError,"sdfadsa" |
| 192 |
else: |
| 193 |
raise RunTimeError,"sdfadsa" |
| 194 |
return out |
| 195 |
|
| 196 |
def powTextforX(c,e): |
| 197 |
if e==0: |
| 198 |
out="" |
| 199 |
elif e==1: |
| 200 |
out="x[%s]"%c |
| 201 |
else: |
| 202 |
out="x[%s]**%s"%(c,e) |
| 203 |
return out |
| 204 |
def multTextFactors(*txt): |
| 205 |
out="" |
| 206 |
for t in txt: |
| 207 |
if len(t)>0: |
| 208 |
if len(out)==0: |
| 209 |
out=t |
| 210 |
else: |
| 211 |
out+="*"+t |
| 212 |
return out |
| 213 |
|
| 214 |
def addSumTermText(txt,f,fac): |
| 215 |
if len(fac)>0: |
| 216 |
fac2="*"+fac |
| 217 |
if f>0: |
| 218 |
if f==1: |
| 219 |
if len(txt)==0: |
| 220 |
out="%s"%fac |
| 221 |
else: |
| 222 |
out="+%s"%fac |
| 223 |
else: |
| 224 |
if len(txt)==0: |
| 225 |
out="%s%s"%(f,fac2) |
| 226 |
else: |
| 227 |
out="+%s%s"%(f,fac2) |
| 228 |
elif f<0: |
| 229 |
if f==1: |
| 230 |
out="-%s"%fac |
| 231 |
else: |
| 232 |
if len(txt)==0: |
| 233 |
out="(-%s)%s"%(-f,fac2) |
| 234 |
else: |
| 235 |
out="-%s%s"%(-f,fac2) |
| 236 |
else: |
| 237 |
out="" |
| 238 |
else: |
| 239 |
if f>0: |
| 240 |
if f==1: |
| 241 |
if len(txt)==0: |
| 242 |
out="1" |
| 243 |
else: |
| 244 |
out="+1" |
| 245 |
else: |
| 246 |
if len(txt)==0: |
| 247 |
out="%s"%f |
| 248 |
else: |
| 249 |
out="+%s"%f |
| 250 |
elif f<0: |
| 251 |
if f==1: |
| 252 |
out="-1" |
| 253 |
else: |
| 254 |
if len(txt)==0: |
| 255 |
out="(-%s)"%(-f,) |
| 256 |
else: |
| 257 |
out="-%s"%(-f,) |
| 258 |
else: |
| 259 |
out="" |
| 260 |
|
| 261 |
return txt+out |
| 262 |
|
| 263 |
def makeTermText(func): |
| 264 |
sh=func.shape |
| 265 |
out="" |
| 266 |
if len(sh)==2: |
| 267 |
for d1 in range(sh[0]): |
| 268 |
for d2 in range(sh[1]): |
| 269 |
fac=multTextFactors(powTextforX(0,d1),powTextforX(1,d2)) |
| 270 |
out=addSumTermText(out,func[d1,d2],fac) |
| 271 |
else: |
| 272 |
for d1 in range(sh[0]): |
| 273 |
for d2 in range(sh[1]): |
| 274 |
for d3 in range(sh[2]): |
| 275 |
fac=multTextFactors(powTextforX(0,d1),powTextforX(1,d2),powTextforX(2,d3)) |
| 276 |
out=addSumTermText(out,func[d1,d2,d3],fac) |
| 277 |
if len(out)==0: |
| 278 |
return "0" |
| 279 |
else: |
| 280 |
return out |
| 281 |
def makeContactDerivativeText(func,dim,func_name): |
| 282 |
sh=func.shape |
| 283 |
out="" |
| 284 |
if len(sh)==dim+2: |
| 285 |
if sh[0]==1: |
| 286 |
out2="" |
| 287 |
for j in range(sh[1]): |
| 288 |
t=makeTermText(func[0,j]) |
| 289 |
if not t == "0": |
| 290 |
if len(out2)>0: out2+="+" |
| 291 |
if j==0: out2+=t |
| 292 |
if len(out2)==0: |
| 293 |
out+=2*intend+"%s=%s\n"%(func_name,0) |
| 294 |
else: |
| 295 |
out+=2*intend+"%s=%s\n"%(func_name,out2) |
| 296 |
else: |
| 297 |
out+=2*intend+"%s=Data(0.,%s,FunctionOnContactZero(self.domain))\n"%(func_name,str(tuple(sh[:1]))) |
| 298 |
for i in range(sh[0]): |
| 299 |
out2="" |
| 300 |
for j in range(sh[1]): |
| 301 |
t=makeTermText(func[i,j]) |
| 302 |
if not t == "0": |
| 303 |
if len(out2)>0: out2+="+" |
| 304 |
out2+="%s"%t |
| 305 |
if len(out2)>0: |
| 306 |
out+=2*intend+"%s[%s]=%s\n"%(func_name,i,out2) |
| 307 |
else: |
| 308 |
raise RunTimeError,"KKK" |
| 309 |
return out |
| 310 |
|
| 311 |
def makeNormalDerivativeText(func,dim,func_name,add_jump=False): |
| 312 |
sh=func.shape |
| 313 |
out="" |
| 314 |
if add_jump: |
| 315 |
extra=")*jump" |
| 316 |
extra_pre="(" |
| 317 |
else: |
| 318 |
extra="" |
| 319 |
extra_pre="" |
| 320 |
|
| 321 |
out=2*intend+"x_boundary=FunctionOnBoundary(self.domain).getX()\n" |
| 322 |
if dim==3: |
| 323 |
out+=2*intend+"n=%swhereZero(x_boundary[0] ,self.ABS_TOL)*numarray.array([-1., 0., 0.])"%extra_pre |
| 324 |
out+="+whereZero(x_boundary[0]-1.,self.ABS_TOL)*numarray.array([ 1., 0., 0.])" |
| 325 |
out+="+whereZero(x_boundary[1] ,self.ABS_TOL)*numarray.array([ 0.,-1., 0.])" |
| 326 |
out+="+whereZero(x_boundary[1]-1.,self.ABS_TOL)*numarray.array([ 0., 1., 0.])" |
| 327 |
out+="+whereZero(x_boundary[2] ,self.ABS_TOL)*numarray.array([ 0., 0.,-1.])" |
| 328 |
out+="+whereZero(x_boundary[2]-1.,self.ABS_TOL)*numarray.array([ 0., 0., 1.])%s\n"%extra |
| 329 |
else: |
| 330 |
out+=2*intend+"n=%swhereZero(x_boundary[0] ,self.ABS_TOL)*numarray.array([-1., 0.])"%extra_pre |
| 331 |
out+="+whereZero(x_boundary[0]-1.,self.ABS_TOL)*numarray.array([ 1., 0.])" |
| 332 |
out+="+whereZero(x_boundary[1] ,self.ABS_TOL)*numarray.array([ 0.,-1.])" |
| 333 |
out+="+whereZero(x_boundary[1]-1.,self.ABS_TOL)*numarray.array([ 0., 1.])%s\n"%extra |
| 334 |
if len(sh)==dim+2: |
| 335 |
if sh[0]==1: |
| 336 |
out2="" |
| 337 |
for j in range(sh[1]): |
| 338 |
t=makeTermText(func[0,j]) |
| 339 |
if not t == "0": |
| 340 |
if len(out2)>0: out2+="+" |
| 341 |
out2+="n[%s]*(%s)"%(j,t) |
| 342 |
if len(out2)==0: |
| 343 |
out+=2*intend+"%s=%s\n"%(func_name,0) |
| 344 |
else: |
| 345 |
out+=2*intend+"%s=%s\n"%(func_name,out2) |
| 346 |
else: |
| 347 |
out+=2*intend+"%s=Data(0.,%s,FunctionOnBoundary(self.domain))\n"%(func_name,str(tuple(sh[:1]))) |
| 348 |
for i in range(sh[0]): |
| 349 |
out2="" |
| 350 |
for j in range(sh[1]): |
| 351 |
t=makeTermText(func[i,j]) |
| 352 |
if not t == "0": |
| 353 |
if len(out2)>0: out2+="+" |
| 354 |
out2+="n[%s]*(%s)"%(j,t) |
| 355 |
if len(out2)>0: |
| 356 |
out+=2*intend+"%s[%s]=%s\n"%(func_name,i,out2) |
| 357 |
else: |
| 358 |
raise RunTimeError,"KKK" |
| 359 |
return out |
| 360 |
|
| 361 |
def makeFunctionText(func,dim,func_name,add_jump=False): |
| 362 |
sh=func.shape |
| 363 |
out="" |
| 364 |
if add_jump: |
| 365 |
extra=")*jump" |
| 366 |
extra_pre="(" |
| 367 |
else: |
| 368 |
extra="" |
| 369 |
extra_pre="" |
| 370 |
|
| 371 |
if len(sh)==dim: |
| 372 |
out+=2*intend+"%s=%s%s%s\n"%(func_name,extra_pre,makeTermText(func),extra) |
| 373 |
elif len(sh)==dim+1: |
| 374 |
if sh[0]==1: |
| 375 |
out+=2*intend+"%s=%s%s%s\n"%(func_name,extra_pre,makeTermText(func[0]),extra) |
| 376 |
else: |
| 377 |
out+=2*intend+"%s=Data(0.,%s,ContinuousFunction(self.domain))\n"%(func_name,str(tuple(sh[:1]))) |
| 378 |
for i in range(sh[0]): |
| 379 |
t=makeTermText(func[i]) |
| 380 |
if not t=="0": out+=2*intend+"%s[%s]=%s%s%s\n"%(func_name,i,extra_pre,t,extra) |
| 381 |
elif len(sh)==dim+2: |
| 382 |
if sh[0]==1: |
| 383 |
if sh[1]==1: |
| 384 |
out+=2*intend+"%s=%s%s%s\n"%(func_name,extra_pre,makeTermText(func[0,0]),extra) |
| 385 |
else: |
| 386 |
out+=2*intend+"%s=Data(0.,%s,ContinuousFunction(self.domain))\n"%(func_name,str(tuple(sh[1:2]))) |
| 387 |
for j in range(sh[1]): |
| 388 |
t=makeTermText(func[0,j]) |
| 389 |
if not t=="0": out+=2*intend+"%s[%s]=%s%s%s\n"%(func_name,j,extra_pre,t,extra) |
| 390 |
else: |
| 391 |
if sh[1]==1: |
| 392 |
out+=2*intend+"%s=Data(0.,%s,ContinuousFunction(self.domain))\n"%(func_name,str(tuple(sh[:1]))) |
| 393 |
for i in range(sh[0]): |
| 394 |
t=makeTermText(func[i,0]) |
| 395 |
if not t=="0": out+=2*intend+"%s[%s]=%s%s%s\n"%(func_name,i,extra_pre,t,extra) |
| 396 |
else: |
| 397 |
out+=2*intend+"%s=Data(0.,%s,ContinuousFunction(self.domain))\n"%(func_name,str(tuple(sh[:2]))) |
| 398 |
for i in range(sh[0]): |
| 399 |
for j in range(sh[1]): |
| 400 |
t=makeTermText(func[i,j]) |
| 401 |
if not t=="0": out+=2*intend+"%s[%s,%s]=%s%s%s\n"%(func_name,i,j,extra_pre,t,extra) |
| 402 |
return out |
| 403 |
for s in [1,2]: |
| 404 |
for d in [2,3]: |
| 405 |
for typ in ["Strong","Weak", "Contact"]: |
| 406 |
for coffo in ["Full"]: # ["Full", "Reduced" ]: |
| 407 |
if coffo=="Full": |
| 408 |
func_i="Function" |
| 409 |
else: |
| 410 |
func_i="ReducedFunction" |
| 411 |
for case in ["Const", "Vario" ]: |
| 412 |
for solo in [1, 2 ]: |
| 413 |
order=solo |
| 414 |
if typ in ["Strong","Weak"]: |
| 415 |
# coefficient A: |
| 416 |
if s==1: |
| 417 |
for i in range(d): |
| 418 |
for j in range(d): |
| 419 |
test_func=makeTestSolution(order,s,d) |
| 420 |
grad_test_func=makeGradient(test_func,d) |
| 421 |
body2=makeFunctionText(test_func,d,"u") |
| 422 |
body2+=2*intend+"A_test=Data(0.,(%d,%d),%s(self.domain))\n"%(d,d,func_i) |
| 423 |
if case == "Const" : |
| 424 |
f=int(8*random.random())+1 |
| 425 |
body2+=2*intend+"A_test[%d,%d]=%s\n"%(i,j,f) |
| 426 |
A_x_grad=multiplyByFandX(f,-1,grad_test_func,(0,j),(1,d),(0,i)) |
| 427 |
else: |
| 428 |
body2+=2*intend+"A_test[%d,%d]=x[%s]\n"%(i,j,i) |
| 429 |
A_x_grad=multiplyByFandX(1.,i,grad_test_func,(0,j),(1,d),(0,i)) |
| 430 |
if typ=="Weak": |
| 431 |
body2+=makeFunctionText(A_x_grad,d,"X_test") |
| 432 |
args="A=A_test, X=X_test" |
| 433 |
else: |
| 434 |
div_A_x_grad=makeDiv(A_x_grad,d) |
| 435 |
body2+=makeFunctionText(-div_A_x_grad,d,"Y_test") |
| 436 |
body2+=makeNormalDerivativeText(A_x_grad,d,"y_test") |
| 437 |
args="A=A_test, Y=Y_test, y=y_test" |
| 438 |
|
| 439 |
makeTitle(d,coffo,solo,s,"A",case,typ,body2,mark="%s%s"%(i,j),pdeargs=args) |
| 440 |
else: |
| 441 |
for p in range(s): |
| 442 |
for i in range(d): |
| 443 |
for q in range(s): |
| 444 |
for j in range(d): |
| 445 |
test_func=makeTestSolution(order,s,d) |
| 446 |
grad_test_func=makeGradient(test_func,d) |
| 447 |
body2=makeFunctionText(test_func,d,"u") |
| 448 |
body2+=2*intend+"A_test=Data(0.,(%d,%d,%d,%d),%s(self.domain))\n"%(s,d,s,d,func_i) |
| 449 |
if case == "Const" : |
| 450 |
f=int(8*random.random())+1 |
| 451 |
body2+=2*intend+"A_test[%d,%d,%d,%d]=%s\n"%(p,i,q,j,f) |
| 452 |
A_x_grad=multiplyByFandX(f,-1,grad_test_func,(q,j),(s,d),(p,i)) |
| 453 |
else: |
| 454 |
body2+=2*intend+"A_test[%d,%d,%d,%d]=x[%s]\n"%(p,i,q,j,i) |
| 455 |
A_x_grad=multiplyByFandX(1.,i,grad_test_func,(q,j),(s,d),(p,i)) |
| 456 |
if typ=="Weak": |
| 457 |
body2+=makeFunctionText(A_x_grad,d,"X_test") |
| 458 |
args="A=A_test, X=X_test" |
| 459 |
else: |
| 460 |
div_A_x_grad=makeDiv(A_x_grad,d) |
| 461 |
body2+=makeFunctionText(-div_A_x_grad,d,"Y_test") |
| 462 |
body2+=makeNormalDerivativeText(A_x_grad,d,"y_test") |
| 463 |
args="A=A_test, Y=Y_test, y=y_test" |
| 464 |
makeTitle(d,coffo,solo,s,"A",case,typ,body2,mark="%s%s%s%s"%(p,i,q,j),pdeargs=args) |
| 465 |
# coefficient B: |
| 466 |
if s==1: |
| 467 |
for i in range(d): |
| 468 |
test_func=makeTestSolution(order,s,d) |
| 469 |
body2=makeFunctionText(test_func,d,"u",typ=="Contact") |
| 470 |
body2+=2*intend+"B_test=Data(0.,(%d,),%s(self.domain))\n"%(d,func_i) |
| 471 |
if case == "Const" : |
| 472 |
f=int(8*random.random())+1 |
| 473 |
body2+=2*intend+"B_test[%d]=%s\n"%(i,f) |
| 474 |
B=multiplyByFandX(f,-1,test_func,(0,),(1,d),(0,i)) |
| 475 |
else: |
| 476 |
body2+=2*intend+"B_test[%d]=x[%i]\n"%(i,i) |
| 477 |
B=multiplyByFandX(1.,i,test_func,(0,),(1,d),(0,i)) |
| 478 |
if typ=="Weak": |
| 479 |
body2+=makeFunctionText(B,d,"X_test") |
| 480 |
args="B=B_test, X=X_test" |
| 481 |
elif typ=="Strong": |
| 482 |
div_B=makeDiv(B,d) |
| 483 |
body2+=makeFunctionText(-div_B,d,"Y_test") |
| 484 |
body2+=makeNormalDerivativeText(B,d,"y_test") |
| 485 |
args="B=B_test, Y=Y_test, y=y_test" |
| 486 |
else: |
| 487 |
div_B=makeDiv(B,d) |
| 488 |
body2+=makeFunctionText(-div_B,d,"Y_test",typ=="Contact") |
| 489 |
body2+=makeNormalDerivativeText(B,d,"y_test",typ=="Contact") |
| 490 |
body2+=makeContactDerivativeText(-B,d,"y_contact_test") |
| 491 |
args="B=B_test, Y=Y_test, y=y_test, y_contact=y_contact_test" |
| 492 |
makeTitle(d,coffo,solo,s,"B",case,typ,body2,mark="%s"%(i),pdeargs=args,add_jump=(typ=="Contact")) |
| 493 |
else: |
| 494 |
for p in range(s): |
| 495 |
for i in range(d): |
| 496 |
for q in range(s): |
| 497 |
test_func=makeTestSolution(order,s,d) |
| 498 |
grad_test_func=makeGradient(test_func,d) |
| 499 |
body2=makeFunctionText(test_func,d,"u",typ=="Contact") |
| 500 |
body2+=2*intend+"B_test=Data(0.,(%d,%d,%d),%s(self.domain))\n"%(s,d,s,func_i) |
| 501 |
if case == "Const" : |
| 502 |
f=int(8*random.random())+1 |
| 503 |
body2+=2*intend+"B_test[%d,%d,%d]=%s\n"%(p,i,q,f) |
| 504 |
B=multiplyByFandX(f,-1,test_func,(q,),(s,d),(p,i)) |
| 505 |
else: |
| 506 |
body2+=2*intend+"B_test[%d,%d,%d]=x[%i]\n"%(p,i,q,i) |
| 507 |
B=multiplyByFandX(1.,i,test_func,(q,),(s,d),(p,i)) |
| 508 |
if typ=="Weak": |
| 509 |
body2+=makeFunctionText(B,d,"X_test") |
| 510 |
args="B=B_test, X=X_test" |
| 511 |
elif typ=="Strong": |
| 512 |
div_B=makeDiv(B,d) |
| 513 |
body2+=makeFunctionText(-div_B,d,"Y_test") |
| 514 |
body2+=makeNormalDerivativeText(B,d,"y_test") |
| 515 |
args="B=B_test, Y=Y_test, y=y_test" |
| 516 |
else: |
| 517 |
div_B=makeDiv(B,d) |
| 518 |
body2+=makeFunctionText(-div_B,d,"Y_test",typ=="Contact") |
| 519 |
body2+=makeNormalDerivativeText(B,d,"y_test",typ=="Contact") |
| 520 |
body2+=makeContactDerivativeText(B,d,"y_contact_test") |
| 521 |
args="B=B_test, Y=Y_test, y=y_test, y_contact=y_contact_test" |
| 522 |
makeTitle(d,coffo,solo,s,"B",case,typ,body2,mark="%s%s%s"%(p,i,q),pdeargs=args,add_jump=(typ=="Contact")) |
| 523 |
if typ=="Strong": |
| 524 |
# coefficient C: |
| 525 |
if s==1: |
| 526 |
for j in range(d): |
| 527 |
test_func=makeTestSolution(order,s,d) |
| 528 |
grad_test_func=makeGradient(test_func,d) |
| 529 |
body2=makeFunctionText(test_func,d,"u") |
| 530 |
body2+=2*intend+"C_test=Data(0.,(%d,),%s(self.domain))\n"%(d,func_i) |
| 531 |
if case == "Const" : |
| 532 |
f=int(8*random.random())+1 |
| 533 |
body2+=2*intend+"C_test[%d]=%s\n"%(j,f) |
| 534 |
C_x_grad=multiplyByFandX(f,-1,grad_test_func,(0,j),(1,),(0,)) |
| 535 |
else: |
| 536 |
body2+=2*intend+"C_test[%d]=x[%i]\n"%(j,j) |
| 537 |
C_x_grad=multiplyByFandX(1,j,grad_test_func,(0,j),(1,),(0,)) |
| 538 |
body2+=makeFunctionText(C_x_grad,d,"Y_test") |
| 539 |
args="C=C_test, Y=Y_test" |
| 540 |
makeTitle(d,coffo,solo,s,"C",case,typ,body2,mark="%s"%(j),pdeargs=args) |
| 541 |
else: |
| 542 |
for p in range(s): |
| 543 |
for q in range(s): |
| 544 |
for j in range(d): |
| 545 |
test_func=makeTestSolution(order,s,d) |
| 546 |
grad_test_func=makeGradient(test_func,d) |
| 547 |
body2=makeFunctionText(test_func,d,"u") |
| 548 |
body2+=2*intend+"C_test=Data(0.,(%d,%d,%d),%s(self.domain))\n"%(s,s,d,func_i) |
| 549 |
if case == "Const" : |
| 550 |
f=int(8*random.random())+1 |
| 551 |
body2+=2*intend+"C_test[%d,%d,%d]=%s\n"%(p,q,j,f) |
| 552 |
C_x_grad=multiplyByFandX(f,-1,grad_test_func,(q,j),(s,),(p,)) |
| 553 |
else: |
| 554 |
body2+=2*intend+"C_test[%d,%d,%d]=x[%i]\n"%(p,q,j,j) |
| 555 |
C_x_grad=multiplyByFandX(1.,j,grad_test_func,(q,j),(s,),(p,)) |
| 556 |
args="C=C_test, Y=Y_test" |
| 557 |
body2+=makeFunctionText(C_x_grad,d,"Y_test") |
| 558 |
makeTitle(d,coffo,solo,s,"C",case,typ,body2,mark="%s%s%s"%(p,q,j),pdeargs=args) |
| 559 |
# coefficient D: |
| 560 |
if s==1: |
| 561 |
if case == "Const" : |
| 562 |
test_func=makeTestSolution(order,s,d) |
| 563 |
else: |
| 564 |
test_func=makeTestSolution(order-1,s,d) |
| 565 |
body2=makeFunctionText(test_func,d,"u") |
| 566 |
if case == "Const" : |
| 567 |
f=int(8*random.random())+1 |
| 568 |
body2+=2*intend+"D_test=Data(%s,(),%s(self.domain))\n"%(f,func_i) |
| 569 |
D=multiplyByFandX(f,-1,test_func,(0,),(1,),(0,)) |
| 570 |
else: |
| 571 |
body2+=2*intend+"D_test=%s(self.domain).getX()[0]\n"%func_i |
| 572 |
D=multiplyByFandX(1,0,test_func,(0,),(1,),(0,)) |
| 573 |
args="D=D_test, Y=Y_test" |
| 574 |
body2+=makeFunctionText(D,d,"Y_test") |
| 575 |
makeTitle(d,coffo,solo,s,"D",case,typ,body2,mark="",pdeargs=args) |
| 576 |
else: |
| 577 |
for p in range(s): |
| 578 |
for q in range(s): |
| 579 |
if case == "Const" : |
| 580 |
test_func=makeTestSolution(order,s,d) |
| 581 |
else: |
| 582 |
test_func=makeTestSolution(order-1,s,d) |
| 583 |
body2=makeFunctionText(test_func,d,"u") |
| 584 |
body2+=2*intend+"D_test=Data(0.,(%d,%d),%s(self.domain))\n"%(s,s,func_i) |
| 585 |
if case == "Const" : |
| 586 |
f=int(8*random.random())+1 |
| 587 |
body2+=2*intend+"D_test[%d,%d]=%s\n"%(p,q,f) |
| 588 |
D=multiplyByFandX(f,-1,test_func,(q,),(s,),(p,)) |
| 589 |
else: |
| 590 |
body2+=2*intend+"D_test[%d,%d]=x[0]\n"%(p,q) |
| 591 |
D=multiplyByFandX(1.,0,test_func,(q,),(s,),(p,)) |
| 592 |
args="D=D_test, Y=Y_test" |
| 593 |
body2+=makeFunctionText(D,d,"Y_test") |
| 594 |
makeTitle(d,coffo,solo,s,"D",case,typ,body2,mark="%s%s"%(p,q),pdeargs=args) |
| 595 |
if coffo=="Full": |
| 596 |
# coefficient d: |
| 597 |
if typ == "Strong": |
| 598 |
if s==1: |
| 599 |
if case == "Const" : |
| 600 |
test_func=makeTestSolution(order,s,d) |
| 601 |
else: |
| 602 |
test_func=makeTestSolution(order-1,s,d) |
| 603 |
body2=makeFunctionText(test_func,d,"u") |
| 604 |
if case == "Const" : |
| 605 |
f=int(8*random.random())+1 |
| 606 |
body2+=2*intend+"d_test=Data(%s,(),FunctionOnBoundary(self.domain))\n"%(f,) |
| 607 |
D=multiplyByFandX(f,-1,test_func,(0,),(1,),(0,)) |
| 608 |
else: |
| 609 |
body2+=2*intend+"d_test=interpolate(x[0],FunctionOnBoundary(self.domain))\n" |
| 610 |
D=multiplyByFandX(1.,0,test_func,(0,),(1,),(0,)) |
| 611 |
body2+=makeFunctionText(D,d,"y_test") |
| 612 |
args="d=d_test, y=y_test" |
| 613 |
makeTitle(d,coffo,solo,s,"d",case,typ,body2,mark="",pdeargs=args) |
| 614 |
else: |
| 615 |
for p in range(s): |
| 616 |
for q in range(s): |
| 617 |
if case == "Const" : |
| 618 |
test_func=makeTestSolution(order,s,d) |
| 619 |
else: |
| 620 |
test_func=makeTestSolution(order-1,s,d) |
| 621 |
body2=makeFunctionText(test_func,d,"u") |
| 622 |
body2+=2*intend+"d_test=Data(0.,(%d,%d),FunctionOnBoundary(self.domain))\n"%(s,s) |
| 623 |
if case == "Const" : |
| 624 |
f=int(8*random.random())+1 |
| 625 |
body2+=2*intend+"d_test[%d,%d]=%s\n"%(p,q,f) |
| 626 |
D=multiplyByFandX(f,-1,test_func,(q,),(s,),(p,)) |
| 627 |
else: |
| 628 |
body2+=2*intend+"d_test[%d,%d]=x[0]\n"%(p,q) |
| 629 |
|
| 630 |
D=multiplyByFandX(1.,0,test_func,(q,),(s,),(p,)) |
| 631 |
args="d=d_test, y=y_test" |
| 632 |
body2+=makeFunctionText(D,d,"y_test") |
| 633 |
makeTitle(d,coffo,solo,s,"d",case,typ,body2,mark="%s%s"%(p,q),pdeargs=args) |
| 634 |
# coefficient d_contact: |
| 635 |
if typ == "Contact": |
| 636 |
if s==1: |
| 637 |
if case == "Const" : |
| 638 |
test_func=makeTestSolution(order,s,d) |
| 639 |
else: |
| 640 |
test_func=makeTestSolution(order-1,s,d) |
| 641 |
|
| 642 |
body2=makeFunctionText(test_func,d,"u",add_jump=True) |
| 643 |
if case == "Const" : |
| 644 |
f=int(8*random.random())+1 |
| 645 |
body2+=2*intend+"d_contact_test=Data(%s,(),FunctionOnContactZero(self.domain))\n"%(f,) |
| 646 |
D=multiplyByFandX(f,-1,test_func,(0,),(1,),(0,)) |
| 647 |
else: |
| 648 |
body2+=2*intend+"d_contact_test=interpolate(x[0],FunctionOnContactZero(self.domain))\n" |
| 649 |
D=multiplyByFandX(1.,0,test_func,(0,),(1,),(0,)) |
| 650 |
body2+=makeFunctionText(D,d,"y_contact_test") |
| 651 |
args="d_contact=d_contact_test, y_contact=y_contact_test" |
| 652 |
makeTitle(d,coffo,solo,s,"d_contact",case,typ,body2,mark="",pdeargs=args,add_jump=True) |
| 653 |
else: |
| 654 |
for p in range(s): |
| 655 |
for q in range(s): |
| 656 |
if case == "Const" : |
| 657 |
test_func=makeTestSolution(order,s,d) |
| 658 |
else: |
| 659 |
test_func=makeTestSolution(order-1,s,d) |
| 660 |
|
| 661 |
body2=makeFunctionText(test_func,d,"u",add_jump=True) |
| 662 |
body2+=2*intend+"d_contact_test=Data(0.,(%d,%d),FunctionOnContactZero(self.domain))\n"%(s,s) |
| 663 |
if case == "Const" : |
| 664 |
f=int(8*random.random())+1 |
| 665 |
body2+=2*intend+"d_contact_test[%d,%d]=%s\n"%(p,q,f) |
| 666 |
D=multiplyByFandX(f,-1,test_func,(q,),(s,),(p,)) |
| 667 |
else: |
| 668 |
body2+=2*intend+"d_contact_test[%d,%d]=x[0]\n"%(p,q) |
| 669 |
D=multiplyByFandX(1.,0,test_func,(q,),(s,),(p,)) |
| 670 |
body2+=makeFunctionText(D,d,"y_contact_test") |
| 671 |
args="d_contact=d_contact_test, y_contact=y_contact_test" |
| 672 |
makeTitle(d,coffo,solo,s,"d_contact",case,typ,body2,mark="%s%s"%(p,q),pdeargs=args,add_jump=True |
| 673 |
) |
| 674 |
#================================ |
| 675 |
print "import unittest" |
| 676 |
print "import numarray" |
| 677 |
print "from esys.escript import *" |
| 678 |
print "from esys.finley import Rectangle,Brick" |
| 679 |
#print "class Test_assemblage_2Do1_Strong(unittest.TestCase):" |
| 680 |
#print t_prog["2Do1_strong"] |
| 681 |
#print "class Test_assemblage_2Do2_Strong(unittest.TestCase):" |
| 682 |
#print t_prog["2Do2_strong"] |
| 683 |
#print "class Test_assemblage_3Do1_Strong(unittest.TestCase):" |
| 684 |
#print t_prog["3Do1_strong"] |
| 685 |
#print "class Test_assemblage_3Do2_Strong(unittest.TestCase):" |
| 686 |
#print t_prog["3Do2_strong"] |
| 687 |
#print "class Test_assemblage_2Do1_Weak(unittest.TestCase):" |
| 688 |
#print t_prog["2Do1_weak"] |
| 689 |
#print "class Test_assemblage_2Do2_Weak(unittest.TestCase):" |
| 690 |
#print t_prog["2Do2_weak"] |
| 691 |
#print "class Test_assemblage_3Do1_Weak(unittest.TestCase):" |
| 692 |
#print t_prog["3Do1_weak"] |
| 693 |
#print "class Test_assemblage_3Do2_Weak(unittest.TestCase):" |
| 694 |
#print t_prog["3Do2_weak"] |
| 695 |
print "class Test_assemblage_2Do1_Contact(unittest.TestCase):" |
| 696 |
print t_prog["2Do1_contact"] |
| 697 |
#print "class Test_assemblage_2Do2_Contact(unittest.TestCase):" |
| 698 |
#print t_prog["2Do2_contact"] |
| 699 |
#print "class Test_assemblage_3Do1_Contact(unittest.TestCase):" |
| 700 |
#print t_prog["3Do1_contact"] |
| 701 |
#print "class Test_assemblage_3Do2_contact(unittest.TestCase):" |
| 702 |
#print t_prog["3Do2_contact"] |
| 703 |
|
| 704 |
|
| 705 |
print "from esys.escript import *\n" |
| 706 |
print "from esys.finley import *\n" |
| 707 |
print "from esys.escript.linearPDEs import LinearPDE\n" |
| 708 |
print "import numarray" |
| 709 |
print "import unittest" |
| 710 |
|
| 711 |
# print "class Test_Finley_assemblage_2Do1(Test_assemblage_2Do1_Strong,Test_assemblage_2Do1_Weak):" |
| 712 |
# print " RES_TOL=1.e-7" |
| 713 |
# print " ABS_TOL=1.e-8" |
| 714 |
# print " def setUp(self):" |
| 715 |
# print " self.domain =Rectangle(2,2,1)" |
| 716 |
print "class Test_Finley_assemblage_2Do1_Contact(Test_assemblage_2Do1_Contact):" |
| 717 |
print " RES_TOL=1.e-7" |
| 718 |
print " ABS_TOL=1.e-8" |
| 719 |
print " def setUp(self):" |
| 720 |
print " d1 = Rectangle(n0=2,n1=1,l0=0.5,order=1,useElementsOnFace=True)" |
| 721 |
print " x1 = ContinuousFunction(d1).getX()" |
| 722 |
print " ContinuousFunction(d1).setTags(1,Scalar(1,ContinuousFunction(d1)))" |
| 723 |
print " d2 = Rectangle(n0=2,n1=1,l0=0.5,order=1,useElementsOnFace=True)" |
| 724 |
print " ContinuousFunction(d2).setTags(2,Scalar(1,ContinuousFunction(d2)))" |
| 725 |
print " d2.setX(d2.getX()+[0.5,0.])" |
| 726 |
print " self.domain = JoinFaces([d1,d2])" |
| 727 |
print "suite = unittest.TestSuite()" |
| 728 |
print "suite.addTest(unittest.makeSuite(Test_Finley_assemblage_2Do1_Contact))" |
| 729 |
print "unittest.TextTestRunner(verbosity=2).run(suite)" |
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