/[escript]/trunk/ripley/src/Rectangle.cpp
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Contents of /trunk/ripley/src/Rectangle.cpp

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Revision 3760 - (show annotations)
Mon Jan 9 05:21:18 2012 UTC (7 years, 10 months ago) by caltinay
Original Path: branches/ripleygmg_from_3668/ripley/src/Rectangle.cpp
File size: 167927 byte(s)
-implemented addPDEToRHS() and setToSize()
-added a few missing calls to requireWrite()
-added assemblePDESystem() to Rectangle but haven't tested yet

1
2 /*******************************************************
3 *
4 * Copyright (c) 2003-2011 by University of Queensland
5 * Earth Systems Science Computational Center (ESSCC)
6 * http://www.uq.edu.au/esscc
7 *
8 * Primary Business: Queensland, Australia
9 * Licensed under the Open Software License version 3.0
10 * http://www.opensource.org/licenses/osl-3.0.php
11 *
12 *******************************************************/
13
14 #include <ripley/Rectangle.h>
15 extern "C" {
16 #include "paso/SystemMatrix.h"
17 }
18
19 #if USE_SILO
20 #include <silo.h>
21 #ifdef ESYS_MPI
22 #include <pmpio.h>
23 #endif
24 #endif
25
26 #include <iomanip>
27
28 using namespace std;
29
30 namespace ripley {
31
32 Rectangle::Rectangle(int n0, int n1, double l0, double l1, int d0, int d1) :
33 RipleyDomain(2),
34 m_gNE0(n0),
35 m_gNE1(n1),
36 m_l0(l0),
37 m_l1(l1),
38 m_NX(d0),
39 m_NY(d1)
40 {
41 // ensure number of subdivisions is valid and nodes can be distributed
42 // among number of ranks
43 if (m_NX*m_NY != m_mpiInfo->size)
44 throw RipleyException("Invalid number of spatial subdivisions");
45
46 if ((n0+1)%m_NX > 0 || (n1+1)%m_NY > 0)
47 throw RipleyException("Number of elements+1 must be separable into number of ranks in each dimension");
48
49 if ((m_NX > 1 && (n0+1)/m_NX<2) || (m_NY > 1 && (n1+1)/m_NY<2))
50 throw RipleyException("Too few elements for the number of ranks");
51
52 // local number of elements (including overlap)
53 m_NE0 = (m_NX>1 ? (n0+1)/m_NX : n0);
54 if (m_mpiInfo->rank%m_NX>0 && m_mpiInfo->rank%m_NX<m_NX-1)
55 m_NE0++;
56 m_NE1 = (m_NY>1 ? (n1+1)/m_NY : n1);
57 if (m_mpiInfo->rank/m_NX>0 && m_mpiInfo->rank/m_NX<m_NY-1)
58 m_NE1++;
59
60 // local number of nodes
61 m_N0 = m_NE0+1;
62 m_N1 = m_NE1+1;
63
64 // bottom-left node is at (offset0,offset1) in global mesh
65 m_offset0 = (n0+1)/m_NX*(m_mpiInfo->rank%m_NX);
66 if (m_offset0 > 0)
67 m_offset0--;
68 m_offset1 = (n1+1)/m_NY*(m_mpiInfo->rank/m_NX);
69 if (m_offset1 > 0)
70 m_offset1--;
71
72 populateSampleIds();
73 createPattern();
74 }
75
76 Rectangle::~Rectangle()
77 {
78 }
79
80 string Rectangle::getDescription() const
81 {
82 return "ripley::Rectangle";
83 }
84
85 bool Rectangle::operator==(const AbstractDomain& other) const
86 {
87 const Rectangle* o=dynamic_cast<const Rectangle*>(&other);
88 if (o) {
89 return (RipleyDomain::operator==(other) &&
90 m_gNE0==o->m_gNE0 && m_gNE1==o->m_gNE1
91 && m_l0==o->m_l0 && m_l1==o->m_l1
92 && m_NX==o->m_NX && m_NY==o->m_NY);
93 }
94
95 return false;
96 }
97
98 void Rectangle::dump(const string& fileName) const
99 {
100 #if USE_SILO
101 string fn(fileName);
102 if (fileName.length() < 6 || fileName.compare(fileName.length()-5, 5, ".silo") != 0) {
103 fn+=".silo";
104 }
105
106 const int NUM_SILO_FILES = 1;
107 const char* blockDirFmt = "/block%04d";
108 int driver=DB_HDF5;
109 string siloPath;
110 DBfile* dbfile = NULL;
111
112 #ifdef ESYS_MPI
113 PMPIO_baton_t* baton = NULL;
114 #endif
115
116 if (m_mpiInfo->size > 1) {
117 #ifdef ESYS_MPI
118 baton = PMPIO_Init(NUM_SILO_FILES, PMPIO_WRITE, m_mpiInfo->comm,
119 0x1337, PMPIO_DefaultCreate, PMPIO_DefaultOpen,
120 PMPIO_DefaultClose, (void*)&driver);
121 // try the fallback driver in case of error
122 if (!baton && driver != DB_PDB) {
123 driver = DB_PDB;
124 baton = PMPIO_Init(NUM_SILO_FILES, PMPIO_WRITE, m_mpiInfo->comm,
125 0x1338, PMPIO_DefaultCreate, PMPIO_DefaultOpen,
126 PMPIO_DefaultClose, (void*)&driver);
127 }
128 if (baton) {
129 char str[64];
130 snprintf(str, 64, blockDirFmt, PMPIO_RankInGroup(baton, m_mpiInfo->rank));
131 siloPath = str;
132 dbfile = (DBfile*) PMPIO_WaitForBaton(baton, fn.c_str(), siloPath.c_str());
133 }
134 #endif
135 } else {
136 dbfile = DBCreate(fn.c_str(), DB_CLOBBER, DB_LOCAL,
137 getDescription().c_str(), driver);
138 // try the fallback driver in case of error
139 if (!dbfile && driver != DB_PDB) {
140 driver = DB_PDB;
141 dbfile = DBCreate(fn.c_str(), DB_CLOBBER, DB_LOCAL,
142 getDescription().c_str(), driver);
143 }
144 }
145
146 if (!dbfile)
147 throw RipleyException("dump: Could not create Silo file");
148
149 /*
150 if (driver==DB_HDF5) {
151 // gzip level 1 already provides good compression with minimal
152 // performance penalty. Some tests showed that gzip levels >3 performed
153 // rather badly on escript data both in terms of time and space
154 DBSetCompression("ERRMODE=FALLBACK METHOD=GZIP LEVEL=1");
155 }
156 */
157
158 boost::scoped_ptr<double> x(new double[m_N0]);
159 boost::scoped_ptr<double> y(new double[m_N1]);
160 double* coords[2] = { x.get(), y.get() };
161 pair<double,double> xdx = getFirstCoordAndSpacing(0);
162 pair<double,double> ydy = getFirstCoordAndSpacing(1);
163 #pragma omp parallel
164 {
165 #pragma omp for nowait
166 for (dim_t i0 = 0; i0 < m_N0; i0++) {
167 coords[0][i0]=xdx.first+i0*xdx.second;
168 }
169 #pragma omp for nowait
170 for (dim_t i1 = 0; i1 < m_N1; i1++) {
171 coords[1][i1]=ydy.first+i1*ydy.second;
172 }
173 }
174 IndexVector dims = getNumNodesPerDim();
175
176 // write mesh
177 DBPutQuadmesh(dbfile, "mesh", NULL, coords, &dims[0], 2, DB_DOUBLE,
178 DB_COLLINEAR, NULL);
179
180 // write node ids
181 DBPutQuadvar1(dbfile, "nodeId", "mesh", (void*)&m_nodeId[0], &dims[0], 2,
182 NULL, 0, DB_INT, DB_NODECENT, NULL);
183
184 // write element ids
185 dims = getNumElementsPerDim();
186 DBPutQuadvar1(dbfile, "elementId", "mesh", (void*)&m_elementId[0],
187 &dims[0], 2, NULL, 0, DB_INT, DB_ZONECENT, NULL);
188
189 // rank 0 writes multimesh and multivar
190 if (m_mpiInfo->rank == 0) {
191 vector<string> tempstrings;
192 vector<char*> names;
193 for (dim_t i=0; i<m_mpiInfo->size; i++) {
194 stringstream path;
195 path << "/block" << setw(4) << setfill('0') << right << i << "/mesh";
196 tempstrings.push_back(path.str());
197 names.push_back((char*)tempstrings.back().c_str());
198 }
199 vector<int> types(m_mpiInfo->size, DB_QUAD_RECT);
200 DBSetDir(dbfile, "/");
201 DBPutMultimesh(dbfile, "multimesh", m_mpiInfo->size, &names[0],
202 &types[0], NULL);
203 tempstrings.clear();
204 names.clear();
205 for (dim_t i=0; i<m_mpiInfo->size; i++) {
206 stringstream path;
207 path << "/block" << setw(4) << setfill('0') << right << i << "/nodeId";
208 tempstrings.push_back(path.str());
209 names.push_back((char*)tempstrings.back().c_str());
210 }
211 types.assign(m_mpiInfo->size, DB_QUADVAR);
212 DBPutMultivar(dbfile, "nodeId", m_mpiInfo->size, &names[0],
213 &types[0], NULL);
214 tempstrings.clear();
215 names.clear();
216 for (dim_t i=0; i<m_mpiInfo->size; i++) {
217 stringstream path;
218 path << "/block" << setw(4) << setfill('0') << right << i << "/elementId";
219 tempstrings.push_back(path.str());
220 names.push_back((char*)tempstrings.back().c_str());
221 }
222 DBPutMultivar(dbfile, "elementId", m_mpiInfo->size, &names[0],
223 &types[0], NULL);
224 }
225
226 if (m_mpiInfo->size > 1) {
227 #ifdef ESYS_MPI
228 PMPIO_HandOffBaton(baton, dbfile);
229 PMPIO_Finish(baton);
230 #endif
231 } else {
232 DBClose(dbfile);
233 }
234
235 #else // USE_SILO
236 throw RipleyException("dump(): no Silo support");
237 #endif
238 }
239
240 const int* Rectangle::borrowSampleReferenceIDs(int fsType) const
241 {
242 switch (fsType) {
243 case Nodes:
244 case ReducedNodes: //FIXME: reduced
245 return &m_nodeId[0];
246 case DegreesOfFreedom:
247 case ReducedDegreesOfFreedom: //FIXME: reduced
248 return &m_dofId[0];
249 case Elements:
250 case ReducedElements:
251 return &m_elementId[0];
252 case FaceElements:
253 case ReducedFaceElements:
254 return &m_faceId[0];
255 default:
256 break;
257 }
258
259 stringstream msg;
260 msg << "borrowSampleReferenceIDs() not implemented for function space type "
261 << functionSpaceTypeAsString(fsType);
262 throw RipleyException(msg.str());
263 }
264
265 bool Rectangle::ownSample(int fsType, index_t id) const
266 {
267 if (getMPISize()==1)
268 return true;
269
270 switch (fsType) {
271 case Nodes:
272 case ReducedNodes: //FIXME: reduced
273 return (m_dofMap[id] < getNumDOF());
274 case DegreesOfFreedom:
275 case ReducedDegreesOfFreedom:
276 return true;
277 case Elements:
278 case ReducedElements:
279 // check ownership of element's bottom left node
280 return (m_dofMap[id%m_NE0+m_N0*(id/m_NE0)] < getNumDOF());
281 case FaceElements:
282 case ReducedFaceElements:
283 {
284 // check ownership of face element's first node
285 const IndexVector faces = getNumFacesPerBoundary();
286 dim_t n=0;
287 for (size_t i=0; i<faces.size(); i++) {
288 n+=faces[i];
289 if (id<n) {
290 index_t k;
291 if (i==1)
292 k=m_N0-1;
293 else if (i==3)
294 k=m_N0*(m_N1-1);
295 else
296 k=0;
297 // determine whether to move right or up
298 const index_t delta=(i/2==0 ? m_N0 : 1);
299 return (m_dofMap[k+(id-n+faces[i])*delta] < getNumDOF());
300 }
301 }
302 return false;
303 }
304 default:
305 break;
306 }
307
308 stringstream msg;
309 msg << "ownSample() not implemented for "
310 << functionSpaceTypeAsString(fsType);
311 throw RipleyException(msg.str());
312 }
313
314 void Rectangle::setToGradient(escript::Data& out, const escript::Data& cIn) const
315 {
316 escript::Data& in = *const_cast<escript::Data*>(&cIn);
317 const dim_t numComp = in.getDataPointSize();
318 const double h0 = m_l0/m_gNE0;
319 const double h1 = m_l1/m_gNE1;
320 const double cx0 = -1./h0;
321 const double cx1 = -.78867513459481288225/h0;
322 const double cx2 = -.5/h0;
323 const double cx3 = -.21132486540518711775/h0;
324 const double cx4 = .21132486540518711775/h0;
325 const double cx5 = .5/h0;
326 const double cx6 = .78867513459481288225/h0;
327 const double cx7 = 1./h0;
328 const double cy0 = -1./h1;
329 const double cy1 = -.78867513459481288225/h1;
330 const double cy2 = -.5/h1;
331 const double cy3 = -.21132486540518711775/h1;
332 const double cy4 = .21132486540518711775/h1;
333 const double cy5 = .5/h1;
334 const double cy6 = .78867513459481288225/h1;
335 const double cy7 = 1./h1;
336
337 if (out.getFunctionSpace().getTypeCode() == Elements) {
338 out.requireWrite();
339 /*** GENERATOR SNIP_GRAD_ELEMENTS TOP */
340 #pragma omp parallel for
341 for (index_t k1=0; k1 < m_NE1; ++k1) {
342 for (index_t k0=0; k0 < m_NE0; ++k0) {
343 const register double* f_10 = in.getSampleDataRO(INDEX2(k0+1,k1, m_N0));
344 const register double* f_11 = in.getSampleDataRO(INDEX2(k0+1,k1+1, m_N0));
345 const register double* f_01 = in.getSampleDataRO(INDEX2(k0,k1+1, m_N0));
346 const register double* f_00 = in.getSampleDataRO(INDEX2(k0,k1, m_N0));
347 double* o = out.getSampleDataRW(INDEX2(k0,k1,m_NE0));
348 for (index_t i=0; i < numComp; ++i) {
349 o[INDEX3(i,0,0,numComp,2)] = f_00[i]*cx1 + f_01[i]*cx3 + f_10[i]*cx6 + f_11[i]*cx4;
350 o[INDEX3(i,1,0,numComp,2)] = f_00[i]*cy1 + f_01[i]*cy6 + f_10[i]*cy3 + f_11[i]*cy4;
351 o[INDEX3(i,0,1,numComp,2)] = f_00[i]*cx1 + f_01[i]*cx3 + f_10[i]*cx6 + f_11[i]*cx4;
352 o[INDEX3(i,1,1,numComp,2)] = f_00[i]*cy3 + f_01[i]*cy4 + f_10[i]*cy1 + f_11[i]*cy6;
353 o[INDEX3(i,0,2,numComp,2)] = f_00[i]*cx3 + f_01[i]*cx1 + f_10[i]*cx4 + f_11[i]*cx6;
354 o[INDEX3(i,1,2,numComp,2)] = f_00[i]*cy1 + f_01[i]*cy6 + f_10[i]*cy3 + f_11[i]*cy4;
355 o[INDEX3(i,0,3,numComp,2)] = f_00[i]*cx3 + f_01[i]*cx1 + f_10[i]*cx4 + f_11[i]*cx6;
356 o[INDEX3(i,1,3,numComp,2)] = f_00[i]*cy3 + f_01[i]*cy4 + f_10[i]*cy1 + f_11[i]*cy6;
357 } /* end of component loop i */
358 } /* end of k0 loop */
359 } /* end of k1 loop */
360 /* GENERATOR SNIP_GRAD_ELEMENTS BOTTOM */
361 } else if (out.getFunctionSpace().getTypeCode() == ReducedElements) {
362 out.requireWrite();
363 /*** GENERATOR SNIP_GRAD_REDUCED_ELEMENTS TOP */
364 #pragma omp parallel for
365 for (index_t k1=0; k1 < m_NE1; ++k1) {
366 for (index_t k0=0; k0 < m_NE0; ++k0) {
367 const register double* f_10 = in.getSampleDataRO(INDEX2(k0+1,k1, m_N0));
368 const register double* f_11 = in.getSampleDataRO(INDEX2(k0+1,k1+1, m_N0));
369 const register double* f_01 = in.getSampleDataRO(INDEX2(k0,k1+1, m_N0));
370 const register double* f_00 = in.getSampleDataRO(INDEX2(k0,k1, m_N0));
371 double* o = out.getSampleDataRW(INDEX2(k0,k1,m_NE0));
372 for (index_t i=0; i < numComp; ++i) {
373 o[INDEX3(i,0,0,numComp,2)] = cx5*(f_10[i] + f_11[i]) + cx2*(f_00[i] + f_01[i]);
374 o[INDEX3(i,1,0,numComp,2)] = cy2*(f_00[i] + f_10[i]) + cy5*(f_01[i] + f_11[i]);
375 } /* end of component loop i */
376 } /* end of k0 loop */
377 } /* end of k1 loop */
378 /* GENERATOR SNIP_GRAD_REDUCED_ELEMENTS BOTTOM */
379 } else if (out.getFunctionSpace().getTypeCode() == FaceElements) {
380 out.requireWrite();
381 #pragma omp parallel
382 {
383 /*** GENERATOR SNIP_GRAD_FACES TOP */
384 if (m_faceOffset[0] > -1) {
385 #pragma omp for nowait
386 for (index_t k1=0; k1 < m_NE1; ++k1) {
387 const register double* f_10 = in.getSampleDataRO(INDEX2(1,k1, m_N0));
388 const register double* f_11 = in.getSampleDataRO(INDEX2(1,k1+1, m_N0));
389 const register double* f_01 = in.getSampleDataRO(INDEX2(0,k1+1, m_N0));
390 const register double* f_00 = in.getSampleDataRO(INDEX2(0,k1, m_N0));
391 double* o = out.getSampleDataRW(m_faceOffset[0]+k1);
392 for (index_t i=0; i < numComp; ++i) {
393 o[INDEX3(i,0,0,numComp,2)] = f_00[i]*cx1 + f_01[i]*cx3 + f_10[i]*cx6 + f_11[i]*cx4;
394 o[INDEX3(i,1,0,numComp,2)] = f_00[i]*cy0 + f_01[i]*cy7;
395 o[INDEX3(i,0,1,numComp,2)] = f_00[i]*cx3 + f_01[i]*cx1 + f_10[i]*cx4 + f_11[i]*cx6;
396 o[INDEX3(i,1,1,numComp,2)] = f_00[i]*cy0 + f_01[i]*cy7;
397 } /* end of component loop i */
398 } /* end of k1 loop */
399 } /* end of face 0 */
400 if (m_faceOffset[1] > -1) {
401 #pragma omp for nowait
402 for (index_t k1=0; k1 < m_NE1; ++k1) {
403 const register double* f_10 = in.getSampleDataRO(INDEX2(m_N0-1,k1, m_N0));
404 const register double* f_11 = in.getSampleDataRO(INDEX2(m_N0-1,k1+1, m_N0));
405 const register double* f_01 = in.getSampleDataRO(INDEX2(m_N0-2,k1+1, m_N0));
406 const register double* f_00 = in.getSampleDataRO(INDEX2(m_N0-2,k1, m_N0));
407 double* o = out.getSampleDataRW(m_faceOffset[1]+k1);
408 for (index_t i=0; i < numComp; ++i) {
409 o[INDEX3(i,0,0,numComp,2)] = f_00[i]*cx1 + f_01[i]*cx3 + f_10[i]*cx6 + f_11[i]*cx4;
410 o[INDEX3(i,1,0,numComp,2)] = f_10[i]*cy0 + f_11[i]*cy7;
411 o[INDEX3(i,0,1,numComp,2)] = f_00[i]*cx3 + f_01[i]*cx1 + f_10[i]*cx4 + f_11[i]*cx6;
412 o[INDEX3(i,1,1,numComp,2)] = f_10[i]*cy0 + f_11[i]*cy7;
413 } /* end of component loop i */
414 } /* end of k1 loop */
415 } /* end of face 1 */
416 if (m_faceOffset[2] > -1) {
417 #pragma omp for nowait
418 for (index_t k0=0; k0 < m_NE0; ++k0) {
419 const register double* f_00 = in.getSampleDataRO(INDEX2(k0,0, m_N0));
420 const register double* f_10 = in.getSampleDataRO(INDEX2(k0+1,0, m_N0));
421 const register double* f_11 = in.getSampleDataRO(INDEX2(k0+1,1, m_N0));
422 const register double* f_01 = in.getSampleDataRO(INDEX2(k0,1, m_N0));
423 double* o = out.getSampleDataRW(m_faceOffset[2]+k0);
424 for (index_t i=0; i < numComp; ++i) {
425 o[INDEX3(i,0,0,numComp,2)] = f_00[i]*cx0 + f_10[i]*cx7;
426 o[INDEX3(i,1,0,numComp,2)] = f_00[i]*cy1 + f_01[i]*cy6 + f_10[i]*cy3 + f_11[i]*cy4;
427 o[INDEX3(i,0,1,numComp,2)] = f_00[i]*cx0 + f_10[i]*cx7;
428 o[INDEX3(i,1,1,numComp,2)] = f_00[i]*cy3 + f_01[i]*cy4 + f_10[i]*cy1 + f_11[i]*cy6;
429 } /* end of component loop i */
430 } /* end of k0 loop */
431 } /* end of face 2 */
432 if (m_faceOffset[3] > -1) {
433 #pragma omp for nowait
434 for (index_t k0=0; k0 < m_NE0; ++k0) {
435 const register double* f_11 = in.getSampleDataRO(INDEX2(k0+1,m_N1-1, m_N0));
436 const register double* f_01 = in.getSampleDataRO(INDEX2(k0,m_N1-1, m_N0));
437 const register double* f_10 = in.getSampleDataRO(INDEX2(k0+1,m_N1-2, m_N0));
438 const register double* f_00 = in.getSampleDataRO(INDEX2(k0,m_N1-2, m_N0));
439 double* o = out.getSampleDataRW(m_faceOffset[3]+k0);
440 for (index_t i=0; i < numComp; ++i) {
441 o[INDEX3(i,0,0,numComp,2)] = f_01[i]*cx0 + f_11[i]*cx7;
442 o[INDEX3(i,1,0,numComp,2)] = f_00[i]*cy1 + f_01[i]*cy6 + f_10[i]*cy3 + f_11[i]*cy4;
443 o[INDEX3(i,0,1,numComp,2)] = f_01[i]*cx0 + f_11[i]*cx7;
444 o[INDEX3(i,1,1,numComp,2)] = f_00[i]*cy3 + f_01[i]*cy4 + f_10[i]*cy1 + f_11[i]*cy6;
445 } /* end of component loop i */
446 } /* end of k0 loop */
447 } /* end of face 3 */
448 /* GENERATOR SNIP_GRAD_FACES BOTTOM */
449 } // end of parallel section
450 } else if (out.getFunctionSpace().getTypeCode() == ReducedFaceElements) {
451 out.requireWrite();
452 #pragma omp parallel
453 {
454 /*** GENERATOR SNIP_GRAD_REDUCED_FACES TOP */
455 if (m_faceOffset[0] > -1) {
456 #pragma omp for nowait
457 for (index_t k1=0; k1 < m_NE1; ++k1) {
458 const register double* f_10 = in.getSampleDataRO(INDEX2(1,k1, m_N0));
459 const register double* f_11 = in.getSampleDataRO(INDEX2(1,k1+1, m_N0));
460 const register double* f_01 = in.getSampleDataRO(INDEX2(0,k1+1, m_N0));
461 const register double* f_00 = in.getSampleDataRO(INDEX2(0,k1, m_N0));
462 double* o = out.getSampleDataRW(m_faceOffset[0]+k1);
463 for (index_t i=0; i < numComp; ++i) {
464 o[INDEX3(i,0,0,numComp,2)] = cx5*(f_10[i] + f_11[i]) + cx2*(f_00[i] + f_01[i]);
465 o[INDEX3(i,1,0,numComp,2)] = f_00[i]*cy0 + f_01[i]*cy7;
466 } /* end of component loop i */
467 } /* end of k1 loop */
468 } /* end of face 0 */
469 if (m_faceOffset[1] > -1) {
470 #pragma omp for nowait
471 for (index_t k1=0; k1 < m_NE1; ++k1) {
472 const register double* f_10 = in.getSampleDataRO(INDEX2(m_N0-1,k1, m_N0));
473 const register double* f_11 = in.getSampleDataRO(INDEX2(m_N0-1,k1+1, m_N0));
474 const register double* f_01 = in.getSampleDataRO(INDEX2(m_N0-2,k1+1, m_N0));
475 const register double* f_00 = in.getSampleDataRO(INDEX2(m_N0-2,k1, m_N0));
476 double* o = out.getSampleDataRW(m_faceOffset[1]+k1);
477 for (index_t i=0; i < numComp; ++i) {
478 o[INDEX3(i,0,0,numComp,2)] = cx5*(f_10[i] + f_11[i]) + cx2*(f_00[i] + f_01[i]);
479 o[INDEX3(i,1,0,numComp,2)] = f_10[i]*cy0 + f_11[i]*cy7;
480 } /* end of component loop i */
481 } /* end of k1 loop */
482 } /* end of face 1 */
483 if (m_faceOffset[2] > -1) {
484 #pragma omp for nowait
485 for (index_t k0=0; k0 < m_NE0; ++k0) {
486 const register double* f_00 = in.getSampleDataRO(INDEX2(k0,0, m_N0));
487 const register double* f_10 = in.getSampleDataRO(INDEX2(k0+1,0, m_N0));
488 const register double* f_11 = in.getSampleDataRO(INDEX2(k0+1,1, m_N0));
489 const register double* f_01 = in.getSampleDataRO(INDEX2(k0,1, m_N0));
490 double* o = out.getSampleDataRW(m_faceOffset[2]+k0);
491 for (index_t i=0; i < numComp; ++i) {
492 o[INDEX3(i,0,0,numComp,2)] = f_00[i]*cx0 + f_10[i]*cx7;
493 o[INDEX3(i,1,0,numComp,2)] = cy2*(f_00[i] + f_10[i]) + cy5*(f_01[i] + f_11[i]);
494 } /* end of component loop i */
495 } /* end of k0 loop */
496 } /* end of face 2 */
497 if (m_faceOffset[3] > -1) {
498 #pragma omp for nowait
499 for (index_t k0=0; k0 < m_NE0; ++k0) {
500 const register double* f_11 = in.getSampleDataRO(INDEX2(k0+1,m_N1-1, m_N0));
501 const register double* f_01 = in.getSampleDataRO(INDEX2(k0,m_N1-1, m_N0));
502 const register double* f_10 = in.getSampleDataRO(INDEX2(k0+1,m_N1-2, m_N0));
503 const register double* f_00 = in.getSampleDataRO(INDEX2(k0,m_N1-2, m_N0));
504 double* o = out.getSampleDataRW(m_faceOffset[3]+k0);
505 for (index_t i=0; i < numComp; ++i) {
506 o[INDEX3(i,0,0,numComp,2)] = f_01[i]*cx0 + f_11[i]*cx7;
507 o[INDEX3(i,1,0,numComp,2)] = cy5*(f_01[i] + f_11[i]) + cy2*(f_00[i] + f_10[i]);
508 } /* end of component loop i */
509 } /* end of k0 loop */
510 } /* end of face 3 */
511 /* GENERATOR SNIP_GRAD_REDUCED_FACES BOTTOM */
512 } // end of parallel section
513 } else {
514 stringstream msg;
515 msg << "setToGradient() not implemented for "
516 << functionSpaceTypeAsString(out.getFunctionSpace().getTypeCode());
517 throw RipleyException(msg.str());
518 }
519 }
520
521 void Rectangle::setToIntegrals(vector<double>& integrals, const escript::Data& arg) const
522 {
523 escript::Data& in = *const_cast<escript::Data*>(&arg);
524 const dim_t numComp = in.getDataPointSize();
525 const double h0 = m_l0/m_gNE0;
526 const double h1 = m_l1/m_gNE1;
527 if (arg.getFunctionSpace().getTypeCode() == Elements) {
528 const double w_0 = h0*h1/4.;
529 #pragma omp parallel
530 {
531 vector<double> int_local(numComp, 0);
532 #pragma omp for nowait
533 for (index_t k1 = 0; k1 < m_NE1; ++k1) {
534 for (index_t k0 = 0; k0 < m_NE0; ++k0) {
535 const double* f = in.getSampleDataRO(INDEX2(k0, k1, m_NE0));
536 for (index_t i=0; i < numComp; ++i) {
537 const register double f_0 = f[INDEX2(i,0,numComp)];
538 const register double f_1 = f[INDEX2(i,1,numComp)];
539 const register double f_2 = f[INDEX2(i,2,numComp)];
540 const register double f_3 = f[INDEX2(i,3,numComp)];
541 int_local[i]+=(f_0+f_1+f_2+f_3)*w_0;
542 } /* end of component loop i */
543 } /* end of k0 loop */
544 } /* end of k1 loop */
545
546 #pragma omp critical
547 for (index_t i=0; i<numComp; i++)
548 integrals[i]+=int_local[i];
549 } // end of parallel section
550 } else if (arg.getFunctionSpace().getTypeCode() == ReducedElements) {
551 const double w_0 = h0*h1;
552 #pragma omp parallel
553 {
554 vector<double> int_local(numComp, 0);
555 #pragma omp for nowait
556 for (index_t k1 = 0; k1 < m_NE1; ++k1) {
557 for (index_t k0 = 0; k0 < m_NE0; ++k0) {
558 const double* f = in.getSampleDataRO(INDEX2(k0, k1, m_NE0));
559 for (index_t i=0; i < numComp; ++i) {
560 int_local[i]+=f[i]*w_0;
561 } /* end of component loop i */
562 } /* end of k0 loop */
563 } /* end of k1 loop */
564
565 #pragma omp critical
566 for (index_t i=0; i<numComp; i++)
567 integrals[i]+=int_local[i];
568 } // end of parallel section
569 } else if (arg.getFunctionSpace().getTypeCode() == FaceElements) {
570 const double w_0 = h0/2.;
571 const double w_1 = h1/2.;
572 #pragma omp parallel
573 {
574 vector<double> int_local(numComp, 0);
575 if (m_faceOffset[0] > -1) {
576 #pragma omp for nowait
577 for (index_t k1 = 0; k1 < m_NE1; ++k1) {
578 const double* f = in.getSampleDataRO(m_faceOffset[0]+k1);
579 for (index_t i=0; i < numComp; ++i) {
580 const register double f_0 = f[INDEX2(i,0,numComp)];
581 const register double f_1 = f[INDEX2(i,1,numComp)];
582 int_local[i]+=(f_0+f_1)*w_1;
583 } /* end of component loop i */
584 } /* end of k1 loop */
585 }
586
587 if (m_faceOffset[1] > -1) {
588 #pragma omp for nowait
589 for (index_t k1 = 0; k1 < m_NE1; ++k1) {
590 const double* f = in.getSampleDataRO(m_faceOffset[1]+k1);
591 for (index_t i=0; i < numComp; ++i) {
592 const register double f_0 = f[INDEX2(i,0,numComp)];
593 const register double f_1 = f[INDEX2(i,1,numComp)];
594 int_local[i]+=(f_0+f_1)*w_1;
595 } /* end of component loop i */
596 } /* end of k1 loop */
597 }
598
599 if (m_faceOffset[2] > -1) {
600 #pragma omp for nowait
601 for (index_t k0 = 0; k0 < m_NE0; ++k0) {
602 const double* f = in.getSampleDataRO(m_faceOffset[2]+k0);
603 for (index_t i=0; i < numComp; ++i) {
604 const register double f_0 = f[INDEX2(i,0,numComp)];
605 const register double f_1 = f[INDEX2(i,1,numComp)];
606 int_local[i]+=(f_0+f_1)*w_0;
607 } /* end of component loop i */
608 } /* end of k0 loop */
609 }
610
611 if (m_faceOffset[3] > -1) {
612 #pragma omp for nowait
613 for (index_t k0 = 0; k0 < m_NE0; ++k0) {
614 const double* f = in.getSampleDataRO(m_faceOffset[3]+k0);
615 for (index_t i=0; i < numComp; ++i) {
616 const register double f_0 = f[INDEX2(i,0,numComp)];
617 const register double f_1 = f[INDEX2(i,1,numComp)];
618 int_local[i]+=(f_0+f_1)*w_0;
619 } /* end of component loop i */
620 } /* end of k0 loop */
621 }
622
623 #pragma omp critical
624 for (index_t i=0; i<numComp; i++)
625 integrals[i]+=int_local[i];
626 } // end of parallel section
627 } else if (arg.getFunctionSpace().getTypeCode() == ReducedFaceElements) {
628 #pragma omp parallel
629 {
630 vector<double> int_local(numComp, 0);
631 if (m_faceOffset[0] > -1) {
632 #pragma omp for nowait
633 for (index_t k1 = 0; k1 < m_NE1; ++k1) {
634 const double* f = in.getSampleDataRO(m_faceOffset[0]+k1);
635 for (index_t i=0; i < numComp; ++i) {
636 int_local[i]+=f[i]*h1;
637 } /* end of component loop i */
638 } /* end of k1 loop */
639 }
640
641 if (m_faceOffset[1] > -1) {
642 #pragma omp for nowait
643 for (index_t k1 = 0; k1 < m_NE1; ++k1) {
644 const double* f = in.getSampleDataRO(m_faceOffset[1]+k1);
645 for (index_t i=0; i < numComp; ++i) {
646 int_local[i]+=f[i]*h1;
647 } /* end of component loop i */
648 } /* end of k1 loop */
649 }
650
651 if (m_faceOffset[2] > -1) {
652 #pragma omp for nowait
653 for (index_t k0 = 0; k0 < m_NE0; ++k0) {
654 const double* f = in.getSampleDataRO(m_faceOffset[2]+k0);
655 for (index_t i=0; i < numComp; ++i) {
656 int_local[i]+=f[i]*h0;
657 } /* end of component loop i */
658 } /* end of k0 loop */
659 }
660
661 if (m_faceOffset[3] > -1) {
662 #pragma omp for nowait
663 for (index_t k0 = 0; k0 < m_NE0; ++k0) {
664 const double* f = in.getSampleDataRO(m_faceOffset[3]+k0);
665 for (index_t i=0; i < numComp; ++i) {
666 int_local[i]+=f[i]*h0;
667 } /* end of component loop i */
668 } /* end of k0 loop */
669 }
670
671 #pragma omp critical
672 for (index_t i=0; i<numComp; i++)
673 integrals[i]+=int_local[i];
674 } // end of parallel section
675 } else {
676 stringstream msg;
677 msg << "setToIntegrals() not implemented for "
678 << functionSpaceTypeAsString(arg.getFunctionSpace().getTypeCode());
679 throw RipleyException(msg.str());
680 }
681 }
682
683 void Rectangle::setToNormal(escript::Data& out) const
684 {
685 if (out.getFunctionSpace().getTypeCode() == FaceElements) {
686 out.requireWrite();
687 #pragma omp parallel
688 {
689 if (m_faceOffset[0] > -1) {
690 #pragma omp for nowait
691 for (index_t k1 = 0; k1 < m_NE1; ++k1) {
692 double* o = out.getSampleDataRW(m_faceOffset[0]+k1);
693 // set vector at two quadrature points
694 *o++ = -1.;
695 *o++ = 0.;
696 *o++ = -1.;
697 *o = 0.;
698 }
699 }
700
701 if (m_faceOffset[1] > -1) {
702 #pragma omp for nowait
703 for (index_t k1 = 0; k1 < m_NE1; ++k1) {
704 double* o = out.getSampleDataRW(m_faceOffset[1]+k1);
705 // set vector at two quadrature points
706 *o++ = 1.;
707 *o++ = 0.;
708 *o++ = 1.;
709 *o = 0.;
710 }
711 }
712
713 if (m_faceOffset[2] > -1) {
714 #pragma omp for nowait
715 for (index_t k0 = 0; k0 < m_NE0; ++k0) {
716 double* o = out.getSampleDataRW(m_faceOffset[2]+k0);
717 // set vector at two quadrature points
718 *o++ = 0.;
719 *o++ = -1.;
720 *o++ = 0.;
721 *o = -1.;
722 }
723 }
724
725 if (m_faceOffset[3] > -1) {
726 #pragma omp for nowait
727 for (index_t k0 = 0; k0 < m_NE0; ++k0) {
728 double* o = out.getSampleDataRW(m_faceOffset[3]+k0);
729 // set vector at two quadrature points
730 *o++ = 0.;
731 *o++ = 1.;
732 *o++ = 0.;
733 *o = 1.;
734 }
735 }
736 } // end of parallel section
737 } else if (out.getFunctionSpace().getTypeCode() == ReducedFaceElements) {
738 out.requireWrite();
739 #pragma omp parallel
740 {
741 if (m_faceOffset[0] > -1) {
742 #pragma omp for nowait
743 for (index_t k1 = 0; k1 < m_NE1; ++k1) {
744 double* o = out.getSampleDataRW(m_faceOffset[0]+k1);
745 *o++ = -1.;
746 *o = 0.;
747 }
748 }
749
750 if (m_faceOffset[1] > -1) {
751 #pragma omp for nowait
752 for (index_t k1 = 0; k1 < m_NE1; ++k1) {
753 double* o = out.getSampleDataRW(m_faceOffset[1]+k1);
754 *o++ = 1.;
755 *o = 0.;
756 }
757 }
758
759 if (m_faceOffset[2] > -1) {
760 #pragma omp for nowait
761 for (index_t k0 = 0; k0 < m_NE0; ++k0) {
762 double* o = out.getSampleDataRW(m_faceOffset[2]+k0);
763 *o++ = 0.;
764 *o = -1.;
765 }
766 }
767
768 if (m_faceOffset[3] > -1) {
769 #pragma omp for nowait
770 for (index_t k0 = 0; k0 < m_NE0; ++k0) {
771 double* o = out.getSampleDataRW(m_faceOffset[3]+k0);
772 *o++ = 0.;
773 *o = 1.;
774 }
775 }
776 } // end of parallel section
777
778 } else {
779 stringstream msg;
780 msg << "setToNormal() not implemented for "
781 << functionSpaceTypeAsString(out.getFunctionSpace().getTypeCode());
782 throw RipleyException(msg.str());
783 }
784 }
785
786 void Rectangle::setToSize(escript::Data& out) const
787 {
788 if (out.getFunctionSpace().getTypeCode() == Elements
789 || out.getFunctionSpace().getTypeCode() == ReducedElements) {
790 out.requireWrite();
791 const dim_t numQuad=out.getNumDataPointsPerSample();
792 const double hSize=getFirstCoordAndSpacing(0).second;
793 const double vSize=getFirstCoordAndSpacing(1).second;
794 const double size=min(hSize,vSize);
795 #pragma omp parallel for
796 for (index_t k = 0; k < getNumElements(); ++k) {
797 double* o = out.getSampleDataRW(k);
798 fill(o, o+numQuad, size);
799 }
800 } else if (out.getFunctionSpace().getTypeCode() == FaceElements
801 || out.getFunctionSpace().getTypeCode() == ReducedFaceElements) {
802 out.requireWrite();
803 const dim_t numQuad=out.getNumDataPointsPerSample();
804 const double hSize=getFirstCoordAndSpacing(0).second;
805 const double vSize=getFirstCoordAndSpacing(1).second;
806 #pragma omp parallel
807 {
808 if (m_faceOffset[0] > -1) {
809 #pragma omp for nowait
810 for (index_t k1 = 0; k1 < m_NE1; ++k1) {
811 double* o = out.getSampleDataRW(m_faceOffset[0]+k1);
812 fill(o, o+numQuad, vSize);
813 }
814 }
815
816 if (m_faceOffset[1] > -1) {
817 #pragma omp for nowait
818 for (index_t k1 = 0; k1 < m_NE1; ++k1) {
819 double* o = out.getSampleDataRW(m_faceOffset[1]+k1);
820 fill(o, o+numQuad, vSize);
821 }
822 }
823
824 if (m_faceOffset[2] > -1) {
825 #pragma omp for nowait
826 for (index_t k0 = 0; k0 < m_NE0; ++k0) {
827 double* o = out.getSampleDataRW(m_faceOffset[2]+k0);
828 fill(o, o+numQuad, hSize);
829 }
830 }
831
832 if (m_faceOffset[3] > -1) {
833 #pragma omp for nowait
834 for (index_t k0 = 0; k0 < m_NE0; ++k0) {
835 double* o = out.getSampleDataRW(m_faceOffset[3]+k0);
836 fill(o, o+numQuad, hSize);
837 }
838 }
839 } // end of parallel section
840
841 } else {
842 stringstream msg;
843 msg << "setToSize() not implemented for "
844 << functionSpaceTypeAsString(out.getFunctionSpace().getTypeCode());
845 throw RipleyException(msg.str());
846 }
847 }
848
849 Paso_SystemMatrixPattern* Rectangle::getPattern(bool reducedRowOrder,
850 bool reducedColOrder) const
851 {
852 if (reducedRowOrder || reducedColOrder)
853 throw RipleyException("getPattern() not implemented for reduced order");
854
855 return m_pattern;
856 }
857
858 void Rectangle::Print_Mesh_Info(const bool full) const
859 {
860 RipleyDomain::Print_Mesh_Info(full);
861 if (full) {
862 cout << " Id Coordinates" << endl;
863 cout.precision(15);
864 cout.setf(ios::scientific, ios::floatfield);
865 pair<double,double> xdx = getFirstCoordAndSpacing(0);
866 pair<double,double> ydy = getFirstCoordAndSpacing(1);
867 for (index_t i=0; i < getNumNodes(); i++) {
868 cout << " " << setw(5) << m_nodeId[i]
869 << " " << xdx.first+(i%m_N0)*xdx.second
870 << " " << ydy.first+(i/m_N0)*ydy.second << endl;
871 }
872 }
873 }
874
875 IndexVector Rectangle::getNumNodesPerDim() const
876 {
877 IndexVector ret;
878 ret.push_back(m_N0);
879 ret.push_back(m_N1);
880 return ret;
881 }
882
883 IndexVector Rectangle::getNumElementsPerDim() const
884 {
885 IndexVector ret;
886 ret.push_back(m_NE0);
887 ret.push_back(m_NE1);
888 return ret;
889 }
890
891 IndexVector Rectangle::getNumFacesPerBoundary() const
892 {
893 IndexVector ret(4, 0);
894 //left
895 if (m_offset0==0)
896 ret[0]=m_NE1;
897 //right
898 if (m_mpiInfo->rank%m_NX==m_NX-1)
899 ret[1]=m_NE1;
900 //bottom
901 if (m_offset1==0)
902 ret[2]=m_NE0;
903 //top
904 if (m_mpiInfo->rank/m_NX==m_NY-1)
905 ret[3]=m_NE0;
906 return ret;
907 }
908
909 pair<double,double> Rectangle::getFirstCoordAndSpacing(dim_t dim) const
910 {
911 if (dim==0) {
912 return pair<double,double>((m_l0*m_offset0)/m_gNE0, m_l0/m_gNE0);
913 } else if (dim==1) {
914 return pair<double,double>((m_l1*m_offset1)/m_gNE1, m_l1/m_gNE1);
915 }
916 throw RipleyException("getFirstCoordAndSpacing(): invalid argument");
917 }
918
919 //protected
920 dim_t Rectangle::getNumDOF() const
921 {
922 return (m_gNE0+1)/m_NX*(m_gNE1+1)/m_NY;
923 }
924
925 //protected
926 dim_t Rectangle::getNumFaceElements() const
927 {
928 const IndexVector faces = getNumFacesPerBoundary();
929 dim_t n=0;
930 for (size_t i=0; i<faces.size(); i++)
931 n+=faces[i];
932 return n;
933 }
934
935 //protected
936 void Rectangle::assembleCoordinates(escript::Data& arg) const
937 {
938 escriptDataC x = arg.getDataC();
939 int numDim = m_numDim;
940 if (!isDataPointShapeEqual(&x, 1, &numDim))
941 throw RipleyException("setToX: Invalid Data object shape");
942 if (!numSamplesEqual(&x, 1, getNumNodes()))
943 throw RipleyException("setToX: Illegal number of samples in Data object");
944
945 pair<double,double> xdx = getFirstCoordAndSpacing(0);
946 pair<double,double> ydy = getFirstCoordAndSpacing(1);
947 arg.requireWrite();
948 #pragma omp parallel for
949 for (dim_t i1 = 0; i1 < m_N1; i1++) {
950 for (dim_t i0 = 0; i0 < m_N0; i0++) {
951 double* point = arg.getSampleDataRW(i0+m_N0*i1);
952 point[0] = xdx.first+i0*xdx.second;
953 point[1] = ydy.first+i1*ydy.second;
954 }
955 }
956 }
957
958 //protected
959 dim_t Rectangle::insertNeighbourNodes(IndexVector& index, index_t node) const
960 {
961 const dim_t nDOF0 = (m_gNE0+1)/m_NX;
962 const dim_t nDOF1 = (m_gNE1+1)/m_NY;
963 const int x=node%nDOF0;
964 const int y=node/nDOF0;
965 dim_t num=0;
966 // loop through potential neighbours and add to index if positions are
967 // within bounds
968 for (int i1=-1; i1<2; i1++) {
969 for (int i0=-1; i0<2; i0++) {
970 // skip node itself
971 if (i0==0 && i1==0)
972 continue;
973 // location of neighbour node
974 const int nx=x+i0;
975 const int ny=y+i1;
976 if (nx>=0 && ny>=0 && nx<nDOF0 && ny<nDOF1) {
977 index.push_back(ny*nDOF0+nx);
978 num++;
979 }
980 }
981 }
982
983 return num;
984 }
985
986 //protected
987 void Rectangle::nodesToDOF(escript::Data& out, escript::Data& in) const
988 {
989 const dim_t numComp = in.getDataPointSize();
990 out.requireWrite();
991
992 const index_t left = (m_offset0==0 ? 0 : 1);
993 const index_t bottom = (m_offset1==0 ? 0 : 1);
994 const dim_t nDOF0 = (m_gNE0+1)/m_NX;
995 const dim_t nDOF1 = (m_gNE1+1)/m_NY;
996 #pragma omp parallel for
997 for (index_t i=0; i<nDOF1; i++) {
998 for (index_t j=0; j<nDOF0; j++) {
999 const index_t n=j+left+(i+bottom)*m_N0;
1000 const double* src=in.getSampleDataRO(n);
1001 copy(src, src+numComp, out.getSampleDataRW(j+i*nDOF0));
1002 }
1003 }
1004 }
1005
1006 //protected
1007 void Rectangle::dofToNodes(escript::Data& out, escript::Data& in) const
1008 {
1009 const dim_t numComp = in.getDataPointSize();
1010 Paso_Coupler* coupler = Paso_Coupler_alloc(m_connector, numComp);
1011 in.requireWrite();
1012 Paso_Coupler_startCollect(coupler, in.getSampleDataRW(0));
1013
1014 const dim_t numDOF = getNumDOF();
1015 out.requireWrite();
1016 const double* buffer = Paso_Coupler_finishCollect(coupler);
1017
1018 #pragma omp parallel for
1019 for (index_t i=0; i<getNumNodes(); i++) {
1020 const double* src=(m_dofMap[i]<numDOF ?
1021 in.getSampleDataRO(m_dofMap[i])
1022 : &buffer[(m_dofMap[i]-numDOF)*numComp]);
1023 copy(src, src+numComp, out.getSampleDataRW(i));
1024 }
1025 }
1026
1027 //private
1028 void Rectangle::populateSampleIds()
1029 {
1030 // identifiers are ordered from left to right, bottom to top globablly.
1031
1032 // build node distribution vector first.
1033 // rank i owns m_nodeDistribution[i+1]-nodeDistribution[i] nodes
1034 m_nodeDistribution.assign(m_mpiInfo->size+1, 0);
1035 const dim_t numDOF=getNumDOF();
1036 for (dim_t k=1; k<m_mpiInfo->size; k++) {
1037 m_nodeDistribution[k]=k*numDOF;
1038 }
1039 m_nodeDistribution[m_mpiInfo->size]=getNumDataPointsGlobal();
1040 m_nodeId.resize(getNumNodes());
1041 m_dofId.resize(numDOF);
1042 m_elementId.resize(getNumElements());
1043 m_faceId.resize(getNumFaceElements());
1044
1045 #pragma omp parallel
1046 {
1047 // nodes
1048 #pragma omp for nowait
1049 for (dim_t i1=0; i1<m_N1; i1++) {
1050 for (dim_t i0=0; i0<m_N0; i0++) {
1051 m_nodeId[i0+i1*m_N0] = (m_offset1+i1)*(m_gNE0+1)+m_offset0+i0;
1052 }
1053 }
1054
1055 // degrees of freedom
1056 #pragma omp for nowait
1057 for (dim_t k=0; k<numDOF; k++)
1058 m_dofId[k] = m_nodeDistribution[m_mpiInfo->rank]+k;
1059
1060 // elements
1061 #pragma omp for nowait
1062 for (dim_t i1=0; i1<m_NE1; i1++) {
1063 for (dim_t i0=0; i0<m_NE0; i0++) {
1064 m_elementId[i0+i1*m_NE0]=(m_offset1+i1)*m_gNE0+m_offset0+i0;
1065 }
1066 }
1067
1068 // face elements
1069 #pragma omp for
1070 for (dim_t k=0; k<getNumFaceElements(); k++)
1071 m_faceId[k]=k;
1072 } // end parallel section
1073
1074 m_nodeTags.assign(getNumNodes(), 0);
1075 updateTagsInUse(Nodes);
1076
1077 m_elementTags.assign(getNumElements(), 0);
1078 updateTagsInUse(Elements);
1079
1080 // generate face offset vector and set face tags
1081 const IndexVector facesPerEdge = getNumFacesPerBoundary();
1082 const index_t LEFT=1, RIGHT=2, BOTTOM=10, TOP=20;
1083 const index_t faceTag[] = { LEFT, RIGHT, BOTTOM, TOP };
1084 m_faceOffset.assign(facesPerEdge.size(), -1);
1085 m_faceTags.clear();
1086 index_t offset=0;
1087 for (size_t i=0; i<facesPerEdge.size(); i++) {
1088 if (facesPerEdge[i]>0) {
1089 m_faceOffset[i]=offset;
1090 offset+=facesPerEdge[i];
1091 m_faceTags.insert(m_faceTags.end(), facesPerEdge[i], faceTag[i]);
1092 }
1093 }
1094 setTagMap("left", LEFT);
1095 setTagMap("right", RIGHT);
1096 setTagMap("bottom", BOTTOM);
1097 setTagMap("top", TOP);
1098 updateTagsInUse(FaceElements);
1099 }
1100
1101 //private
1102 void Rectangle::createPattern()
1103 {
1104 const dim_t nDOF0 = (m_gNE0+1)/m_NX;
1105 const dim_t nDOF1 = (m_gNE1+1)/m_NY;
1106 const index_t left = (m_offset0==0 ? 0 : 1);
1107 const index_t bottom = (m_offset1==0 ? 0 : 1);
1108
1109 // populate node->DOF mapping with own degrees of freedom.
1110 // The rest is assigned in the loop further down
1111 m_dofMap.assign(getNumNodes(), 0);
1112 #pragma omp parallel for
1113 for (index_t i=bottom; i<m_N1; i++) {
1114 for (index_t j=left; j<m_N0; j++) {
1115 m_dofMap[i*m_N0+j]=(i-bottom)*nDOF0+j-left;
1116 }
1117 }
1118
1119 // build list of shared components and neighbours by looping through
1120 // all potential neighbouring ranks and checking if positions are
1121 // within bounds
1122 const dim_t numDOF=nDOF0*nDOF1;
1123 vector<IndexVector> colIndices(numDOF); // for the couple blocks
1124 RankVector neighbour;
1125 IndexVector offsetInShared(1,0);
1126 IndexVector sendShared, recvShared;
1127 int numShared=0;
1128 const int x=m_mpiInfo->rank%m_NX;
1129 const int y=m_mpiInfo->rank/m_NX;
1130 for (int i1=-1; i1<2; i1++) {
1131 for (int i0=-1; i0<2; i0++) {
1132 // skip this rank
1133 if (i0==0 && i1==0)
1134 continue;
1135 // location of neighbour rank
1136 const int nx=x+i0;
1137 const int ny=y+i1;
1138 if (nx>=0 && ny>=0 && nx<m_NX && ny<m_NY) {
1139 neighbour.push_back(ny*m_NX+nx);
1140 if (i0==0) {
1141 // sharing top or bottom edge
1142 const int firstDOF=(i1==-1 ? 0 : numDOF-nDOF0);
1143 const int firstNode=(i1==-1 ? left : m_N0*(m_N1-1)+left);
1144 offsetInShared.push_back(offsetInShared.back()+nDOF0);
1145 for (dim_t i=0; i<nDOF0; i++, numShared++) {
1146 sendShared.push_back(firstDOF+i);
1147 recvShared.push_back(numDOF+numShared);
1148 if (i>0)
1149 colIndices[firstDOF+i-1].push_back(numShared);
1150 colIndices[firstDOF+i].push_back(numShared);
1151 if (i<nDOF0-1)
1152 colIndices[firstDOF+i+1].push_back(numShared);
1153 m_dofMap[firstNode+i]=numDOF+numShared;
1154 }
1155 } else if (i1==0) {
1156 // sharing left or right edge
1157 const int firstDOF=(i0==-1 ? 0 : nDOF0-1);
1158 const int firstNode=(i0==-1 ? bottom*m_N0 : (bottom+1)*m_N0-1);
1159 offsetInShared.push_back(offsetInShared.back()+nDOF1);
1160 for (dim_t i=0; i<nDOF1; i++, numShared++) {
1161 sendShared.push_back(firstDOF+i*nDOF0);
1162 recvShared.push_back(numDOF+numShared);
1163 if (i>0)
1164 colIndices[firstDOF+(i-1)*nDOF0].push_back(numShared);
1165 colIndices[firstDOF+i*nDOF0].push_back(numShared);
1166 if (i<nDOF1-1)
1167 colIndices[firstDOF+(i+1)*nDOF0].push_back(numShared);
1168 m_dofMap[firstNode+i*m_N0]=numDOF+numShared;
1169 }
1170 } else {
1171 // sharing a node
1172 const int dof=(i0+1)/2*(nDOF0-1)+(i1+1)/2*(numDOF-nDOF0);
1173 const int node=(i0+1)/2*(m_N0-1)+(i1+1)/2*m_N0*(m_N1-1);
1174 offsetInShared.push_back(offsetInShared.back()+1);
1175 sendShared.push_back(dof);
1176 recvShared.push_back(numDOF+numShared);
1177 colIndices[dof].push_back(numShared);
1178 m_dofMap[node]=numDOF+numShared;
1179 ++numShared;
1180 }
1181 }
1182 }
1183 }
1184
1185 // create connector
1186 Paso_SharedComponents *snd_shcomp = Paso_SharedComponents_alloc(
1187 numDOF, neighbour.size(), &neighbour[0], &sendShared[0],
1188 &offsetInShared[0], 1, 0, m_mpiInfo);
1189 Paso_SharedComponents *rcv_shcomp = Paso_SharedComponents_alloc(
1190 numDOF, neighbour.size(), &neighbour[0], &recvShared[0],
1191 &offsetInShared[0], 1, 0, m_mpiInfo);
1192 m_connector = Paso_Connector_alloc(snd_shcomp, rcv_shcomp);
1193 Paso_SharedComponents_free(snd_shcomp);
1194 Paso_SharedComponents_free(rcv_shcomp);
1195
1196 // create main and couple blocks
1197 Paso_Pattern *mainPattern = createMainPattern();
1198 Paso_Pattern *colPattern, *rowPattern;
1199 createCouplePatterns(colIndices, numShared, &colPattern, &rowPattern);
1200
1201 // allocate paso distribution
1202 Paso_Distribution* distribution = Paso_Distribution_alloc(m_mpiInfo,
1203 const_cast<index_t*>(&m_nodeDistribution[0]), 1, 0);
1204
1205 // finally create the system matrix
1206 m_pattern = Paso_SystemMatrixPattern_alloc(MATRIX_FORMAT_DEFAULT,
1207 distribution, distribution, mainPattern, colPattern, rowPattern,
1208 m_connector, m_connector);
1209
1210 Paso_Distribution_free(distribution);
1211
1212 // useful debug output
1213 /*
1214 cout << "--- rcv_shcomp ---" << endl;
1215 cout << "numDOF=" << numDOF << ", numNeighbors=" << neighbour.size() << endl;
1216 for (size_t i=0; i<neighbour.size(); i++) {
1217 cout << "neighbor[" << i << "]=" << neighbour[i]
1218 << " offsetInShared[" << i+1 << "]=" << offsetInShared[i+1] << endl;
1219 }
1220 for (size_t i=0; i<recvShared.size(); i++) {
1221 cout << "shared[" << i << "]=" << recvShared[i] << endl;
1222 }
1223 cout << "--- snd_shcomp ---" << endl;
1224 for (size_t i=0; i<sendShared.size(); i++) {
1225 cout << "shared[" << i << "]=" << sendShared[i] << endl;
1226 }
1227 cout << "--- dofMap ---" << endl;
1228 for (size_t i=0; i<m_dofMap.size(); i++) {
1229 cout << "m_dofMap[" << i << "]=" << m_dofMap[i] << endl;
1230 }
1231 cout << "--- colIndices ---" << endl;
1232 for (size_t i=0; i<colIndices.size(); i++) {
1233 cout << "colIndices[" << i << "].size()=" << colIndices[i].size() << endl;
1234 }
1235 */
1236
1237 /*
1238 cout << "--- main_pattern ---" << endl;
1239 cout << "M=" << mainPattern->numOutput << ", N=" << mainPattern->numInput << endl;
1240 for (size_t i=0; i<mainPattern->numOutput+1; i++) {
1241 cout << "ptr[" << i << "]=" << mainPattern->ptr[i] << endl;
1242 }
1243 for (size_t i=0; i<mainPattern->ptr[mainPattern->numOutput]; i++) {
1244 cout << "index[" << i << "]=" << mainPattern->index[i] << endl;
1245 }
1246 */
1247
1248 /*
1249 cout << "--- colCouple_pattern ---" << endl;
1250 cout << "M=" << colPattern->numOutput << ", N=" << colPattern->numInput << endl;
1251 for (size_t i=0; i<colPattern->numOutput+1; i++) {
1252 cout << "ptr[" << i << "]=" << colPattern->ptr[i] << endl;
1253 }
1254 for (size_t i=0; i<colPattern->ptr[colPattern->numOutput]; i++) {
1255 cout << "index[" << i << "]=" << colPattern->index[i] << endl;
1256 }
1257 */
1258
1259 /*
1260 cout << "--- rowCouple_pattern ---" << endl;
1261 cout << "M=" << rowPattern->numOutput << ", N=" << rowPattern->numInput << endl;
1262 for (size_t i=0; i<rowPattern->numOutput+1; i++) {
1263 cout << "ptr[" << i << "]=" << rowPattern->ptr[i] << endl;
1264 }
1265 for (size_t i=0; i<rowPattern->ptr[rowPattern->numOutput]; i++) {
1266 cout << "index[" << i << "]=" << rowPattern->index[i] << endl;
1267 }
1268 */
1269
1270 Paso_Pattern_free(mainPattern);
1271 Paso_Pattern_free(colPattern);
1272 Paso_Pattern_free(rowPattern);
1273 }
1274
1275 //protected
1276 void Rectangle::interpolateNodesOnElements(escript::Data& out,
1277 escript::Data& in, bool reduced) const
1278 {
1279 const dim_t numComp = in.getDataPointSize();
1280 if (reduced) {
1281 out.requireWrite();
1282 /*** GENERATOR SNIP_INTERPOLATE_REDUCED_ELEMENTS TOP */
1283 const double c0 = .25;
1284 #pragma omp parallel for
1285 for (index_t k1=0; k1 < m_NE1; ++k1) {
1286 for (index_t k0=0; k0 < m_NE0; ++k0) {
1287 const register double* f_11 = in.getSampleDataRO(INDEX2(k0+1,k1+1, m_N0));
1288 const register double* f_10 = in.getSampleDataRO(INDEX2(k0+1,k1, m_N0));
1289 const register double* f_00 = in.getSampleDataRO(INDEX2(k0,k1, m_N0));
1290 const register double* f_01 = in.getSampleDataRO(INDEX2(k0,k1+1, m_N0));
1291 double* o = out.getSampleDataRW(INDEX2(k0,k1,m_NE0));
1292 for (index_t i=0; i < numComp; ++i) {
1293 o[INDEX2(i,numComp,0)] = c0*(f_00[i] + f_01[i] + f_10[i] + f_11[i]);
1294 } /* end of component loop i */
1295 } /* end of k0 loop */
1296 } /* end of k1 loop */
1297 /* GENERATOR SNIP_INTERPOLATE_REDUCED_ELEMENTS BOTTOM */
1298 } else {
1299 out.requireWrite();
1300 /*** GENERATOR SNIP_INTERPOLATE_ELEMENTS TOP */
1301 const double c0 = .16666666666666666667;
1302 const double c1 = .044658198738520451079;
1303 const double c2 = .62200846792814621559;
1304 #pragma omp parallel for
1305 for (index_t k1=0; k1 < m_NE1; ++k1) {
1306 for (index_t k0=0; k0 < m_NE0; ++k0) {
1307 const register double* f_10 = in.getSampleDataRO(INDEX2(k0+1,k1, m_N0));
1308 const register double* f_11 = in.getSampleDataRO(INDEX2(k0+1,k1+1, m_N0));
1309 const register double* f_01 = in.getSampleDataRO(INDEX2(k0,k1+1, m_N0));
1310 const register double* f_00 = in.getSampleDataRO(INDEX2(k0,k1, m_N0));
1311 double* o = out.getSampleDataRW(INDEX2(k0,k1,m_NE0));
1312 for (index_t i=0; i < numComp; ++i) {
1313 o[INDEX2(i,numComp,0)] = f_00[i]*c2 + f_11[i]*c1 + c0*(f_01[i] + f_10[i]);
1314 o[INDEX2(i,numComp,1)] = f_01[i]*c1 + f_10[i]*c2 + c0*(f_00[i] + f_11[i]);
1315 o[INDEX2(i,numComp,2)] = f_01[i]*c2 + f_10[i]*c1 + c0*(f_00[i] + f_11[i]);
1316 o[INDEX2(i,numComp,3)] = f_00[i]*c1 + f_11[i]*c2 + c0*(f_01[i] + f_10[i]);
1317 } /* end of component loop i */
1318 } /* end of k0 loop */
1319 } /* end of k1 loop */
1320 /* GENERATOR SNIP_INTERPOLATE_ELEMENTS BOTTOM */
1321 }
1322 }
1323
1324 //protected
1325 void Rectangle::interpolateNodesOnFaces(escript::Data& out, escript::Data& in,
1326 bool reduced) const
1327 {
1328 const dim_t numComp = in.getDataPointSize();
1329 if (reduced) {
1330 out.requireWrite();
1331 const double c0 = .5;
1332 #pragma omp parallel
1333 {
1334 /*** GENERATOR SNIP_INTERPOLATE_REDUCED_FACES TOP */
1335 if (m_faceOffset[0] > -1) {
1336 #pragma omp for nowait
1337 for (index_t k1=0; k1 < m_NE1; ++k1) {
1338 const register double* f_00 = in.getSampleDataRO(INDEX2(0,k1, m_N0));
1339 const register double* f_01 = in.getSampleDataRO(INDEX2(0,k1+1, m_N0));
1340 double* o = out.getSampleDataRW(m_faceOffset[0]+k1);
1341 for (index_t i=0; i < numComp; ++i) {
1342 o[INDEX2(i,numComp,0)] = c0*(f_00[i] + f_01[i]);
1343 } /* end of component loop i */
1344 } /* end of k1 loop */
1345 } /* end of face 0 */
1346 if (m_faceOffset[1] > -1) {
1347 #pragma omp for nowait
1348 for (index_t k1=0; k1 < m_NE1; ++k1) {
1349 const register double* f_10 = in.getSampleDataRO(INDEX2(m_N0-1,k1, m_N0));
1350 const register double* f_11 = in.getSampleDataRO(INDEX2(m_N0-1,k1+1, m_N0));
1351 double* o = out.getSampleDataRW(m_faceOffset[1]+k1);
1352 for (index_t i=0; i < numComp; ++i) {
1353 o[INDEX2(i,numComp,0)] = c0*(f_10[i] + f_11[i]);
1354 } /* end of component loop i */
1355 } /* end of k1 loop */
1356 } /* end of face 1 */
1357 if (m_faceOffset[2] > -1) {
1358 #pragma omp for nowait
1359 for (index_t k0=0; k0 < m_NE0; ++k0) {
1360 const register double* f_10 = in.getSampleDataRO(INDEX2(k0+1,0, m_N0));
1361 const register double* f_00 = in.getSampleDataRO(INDEX2(k0,0, m_N0));
1362 double* o = out.getSampleDataRW(m_faceOffset[2]+k0);
1363 for (index_t i=0; i < numComp; ++i) {
1364 o[INDEX2(i,numComp,0)] = c0*(f_00[i] + f_10[i]);
1365 } /* end of component loop i */
1366 } /* end of k0 loop */
1367 } /* end of face 2 */
1368 if (m_faceOffset[3] > -1) {
1369 #pragma omp for nowait
1370 for (index_t k0=0; k0 < m_NE0; ++k0) {
1371 const register double* f_01 = in.getSampleDataRO(INDEX2(k0,m_N1-1, m_N0));
1372 const register double* f_11 = in.getSampleDataRO(INDEX2(k0+1,m_N1-1, m_N0));
1373 double* o = out.getSampleDataRW(m_faceOffset[3]+k0);
1374 for (index_t i=0; i < numComp; ++i) {
1375 o[INDEX2(i,numComp,0)] = c0*(f_01[i] + f_11[i]);
1376 } /* end of component loop i */
1377 } /* end of k0 loop */
1378 } /* end of face 3 */
1379 /* GENERATOR SNIP_INTERPOLATE_REDUCED_FACES BOTTOM */
1380 } // end of parallel section
1381 } else {
1382 out.requireWrite();
1383 const double c0 = 0.21132486540518711775;
1384 const double c1 = 0.78867513459481288225;
1385 #pragma omp parallel
1386 {
1387 /*** GENERATOR SNIP_INTERPOLATE_FACES TOP */
1388 if (m_faceOffset[0] > -1) {
1389 #pragma omp for nowait
1390 for (index_t k1=0; k1 < m_NE1; ++k1) {
1391 const register double* f_01 = in.getSampleDataRO(INDEX2(0,k1+1, m_N0));
1392 const register double* f_00 = in.getSampleDataRO(INDEX2(0,k1, m_N0));
1393 double* o = out.getSampleDataRW(m_faceOffset[0]+k1);
1394 for (index_t i=0; i < numComp; ++i) {
1395 o[INDEX2(i,numComp,0)] = f_00[i]*c1 + f_01[i]*c0;
1396 o[INDEX2(i,numComp,1)] = f_00[i]*c0 + f_01[i]*c1;
1397 } /* end of component loop i */
1398 } /* end of k1 loop */
1399 } /* end of face 0 */
1400 if (m_faceOffset[1] > -1) {
1401 #pragma omp for nowait
1402 for (index_t k1=0; k1 < m_NE1; ++k1) {
1403 const register double* f_10 = in.getSampleDataRO(INDEX2(m_N0-1,k1, m_N0));
1404 const register double* f_11 = in.getSampleDataRO(INDEX2(m_N0-1,k1+1, m_N0));
1405 double* o = out.getSampleDataRW(m_faceOffset[1]+k1);
1406 for (index_t i=0; i < numComp; ++i) {
1407 o[INDEX2(i,numComp,0)] = f_10[i]*c1 + f_11[i]*c0;
1408 o[INDEX2(i,numComp,1)] = f_10[i]*c0 + f_11[i]*c1;
1409 } /* end of component loop i */
1410 } /* end of k1 loop */
1411 } /* end of face 1 */
1412 if (m_faceOffset[2] > -1) {
1413 #pragma omp for nowait
1414 for (index_t k0=0; k0 < m_NE0; ++k0) {
1415 const register double* f_10 = in.getSampleDataRO(INDEX2(k0+1,0, m_N0));
1416 const register double* f_00 = in.getSampleDataRO(INDEX2(k0,0, m_N0));
1417 double* o = out.getSampleDataRW(m_faceOffset[2]+k0);
1418 for (index_t i=0; i < numComp; ++i) {
1419 o[INDEX2(i,numComp,0)] = f_00[i]*c1 + f_10[i]*c0;
1420 o[INDEX2(i,numComp,1)] = f_00[i]*c0 + f_10[i]*c1;
1421 } /* end of component loop i */
1422 } /* end of k0 loop */
1423 } /* end of face 2 */
1424 if (m_faceOffset[3] > -1) {
1425 #pragma omp for nowait
1426 for (index_t k0=0; k0 < m_NE0; ++k0) {
1427 const register double* f_11 = in.getSampleDataRO(INDEX2(k0+1,m_N1-1, m_N0));
1428 const register double* f_01 = in.getSampleDataRO(INDEX2(k0,m_N1-1, m_N0));
1429 double* o = out.getSampleDataRW(m_faceOffset[3]+k0);
1430 for (index_t i=0; i < numComp; ++i) {
1431 o[INDEX2(i,numComp,0)] = f_01[i]*c1 + f_11[i]*c0;
1432 o[INDEX2(i,numComp,1)] = f_01[i]*c0 + f_11[i]*c1;
1433 } /* end of component loop i */
1434 } /* end of k0 loop */
1435 } /* end of face 3 */
1436 /* GENERATOR SNIP_INTERPOLATE_FACES BOTTOM */
1437 } // end of parallel section
1438 }
1439 }
1440
1441 //protected
1442 void Rectangle::assemblePDESingle(Paso_SystemMatrix* mat,
1443 escript::Data& rhs, const escript::Data& A, const escript::Data& B,
1444 const escript::Data& C, const escript::Data& D,
1445 const escript::Data& X, const escript::Data& Y,
1446 const escript::Data& d, const escript::Data& y) const
1447 {
1448 const double h0 = m_l0/m_gNE0;
1449 const double h1 = m_l1/m_gNE1;
1450 /*** GENERATOR SNIP_PDE_SINGLE_PRE TOP */
1451 const double w0 = -0.1555021169820365539*h1/h0;
1452 const double w1 = 0.041666666666666666667;
1453 const double w10 = -0.041666666666666666667*h0/h1;
1454 const double w11 = 0.1555021169820365539*h1/h0;
1455 const double w12 = 0.1555021169820365539*h0/h1;
1456 const double w13 = 0.01116454968463011277*h0/h1;
1457 const double w14 = 0.01116454968463011277*h1/h0;
1458 const double w15 = 0.041666666666666666667*h1/h0;
1459 const double w16 = -0.01116454968463011277*h0/h1;
1460 const double w17 = -0.1555021169820365539*h0/h1;
1461 const double w18 = -0.33333333333333333333*h1/h0;
1462 const double w19 = 0.25000000000000000000;
1463 const double w2 = -0.15550211698203655390;
1464 const double w20 = -0.25000000000000000000;
1465 const double w21 = 0.16666666666666666667*h0/h1;
1466 const double w22 = -0.16666666666666666667*h1/h0;
1467 const double w23 = -0.16666666666666666667*h0/h1;
1468 const double w24 = 0.33333333333333333333*h1/h0;
1469 const double w25 = 0.33333333333333333333*h0/h1;
1470 const double w26 = 0.16666666666666666667*h1/h0;
1471 const double w27 = -0.33333333333333333333*h0/h1;
1472 const double w28 = -0.032861463941450536761*h1;
1473 const double w29 = -0.032861463941450536761*h0;
1474 const double w3 = 0.041666666666666666667*h0/h1;
1475 const double w30 = -0.12264065304058601714*h1;
1476 const double w31 = -0.0023593469594139828636*h1;
1477 const double w32 = -0.008805202725216129906*h0;
1478 const double w33 = -0.008805202725216129906*h1;
1479 const double w34 = 0.032861463941450536761*h1;
1480 const double w35 = 0.008805202725216129906*h1;
1481 const double w36 = 0.008805202725216129906*h0;
1482 const double w37 = 0.0023593469594139828636*h1;
1483 const double w38 = 0.12264065304058601714*h1;
1484 const double w39 = 0.032861463941450536761*h0;
1485 const double w4 = 0.15550211698203655390;
1486 const double w40 = -0.12264065304058601714*h0;
1487 const double w41 = -0.0023593469594139828636*h0;
1488 const double w42 = 0.0023593469594139828636*h0;
1489 const double w43 = 0.12264065304058601714*h0;
1490 const double w44 = -0.16666666666666666667*h1;
1491 const double w45 = -0.083333333333333333333*h0;
1492 const double w46 = 0.083333333333333333333*h1;
1493 const double w47 = 0.16666666666666666667*h1;
1494 const double w48 = 0.083333333333333333333*h0;
1495 const double w49 = -0.16666666666666666667*h0;
1496 const double w5 = -0.041666666666666666667;
1497 const double w50 = 0.16666666666666666667*h0;
1498 const double w51 = -0.083333333333333333333*h1;
1499 const double w52 = 0.025917019497006092316*h0*h1;
1500 const double w53 = 0.0018607582807716854616*h0*h1;
1501 const double w54 = 0.0069444444444444444444*h0*h1;
1502 const double w55 = 0.09672363354357992482*h0*h1;
1503 const double w56 = 0.00049858867864229740201*h0*h1;
1504 const double w57 = 0.055555555555555555556*h0*h1;
1505 const double w58 = 0.027777777777777777778*h0*h1;
1506 const double w59 = 0.11111111111111111111*h0*h1;
1507 const double w6 = -0.01116454968463011277*h1/h0;
1508 const double w60 = -0.19716878364870322056*h1;
1509 const double w61 = -0.19716878364870322056*h0;
1510 const double w62 = -0.052831216351296779436*h0;
1511 const double w63 = -0.052831216351296779436*h1;
1512 const double w64 = 0.19716878364870322056*h1;
1513 const double w65 = 0.052831216351296779436*h1;
1514 const double w66 = 0.19716878364870322056*h0;
1515 const double w67 = 0.052831216351296779436*h0;
1516 const double w68 = -0.5*h1;
1517 const double w69 = -0.5*h0;
1518 const double w7 = 0.011164549684630112770;
1519 const double w70 = 0.5*h1;
1520 const double w71 = 0.5*h0;
1521 const double w72 = 0.1555021169820365539*h0*h1;
1522 const double w73 = 0.041666666666666666667*h0*h1;
1523 const double w74 = 0.01116454968463011277*h0*h1;
1524 const double w75 = 0.25*h0*h1;
1525 const double w8 = -0.011164549684630112770;
1526 const double w9 = -0.041666666666666666667*h1/h0;
1527 /* GENERATOR SNIP_PDE_SINGLE_PRE BOTTOM */
1528
1529 rhs.requireWrite();
1530 #pragma omp parallel
1531 {
1532 for (index_t k1_0=0; k1_0<2; k1_0++) { // colouring
1533 #pragma omp for
1534 for (index_t k1=k1_0; k1<m_NE1; k1+=2) {
1535 for (index_t k0=0; k0<m_NE0; ++k0) {
1536 bool add_EM_S=false;
1537 bool add_EM_F=false;
1538 vector<double> EM_S(4*4, 0);
1539 vector<double> EM_F(4, 0);
1540 const index_t e = k0 + m_NE0*k1;
1541 /*** GENERATOR SNIP_PDE_SINGLE TOP */
1542 ///////////////
1543 // process A //
1544 ///////////////
1545 if (!A.isEmpty()) {
1546 add_EM_S=true;
1547 const double* A_p=const_cast<escript::Data*>(&A)->getSampleDataRO(e);
1548 if (A.actsExpanded()) {
1549 const register double A_00_0 = A_p[INDEX3(0,0,0,2,2)];
1550 const register double A_01_0 = A_p[INDEX3(0,1,0,2,2)];
1551 const register double A_10_0 = A_p[INDEX3(1,0,0,2,2)];
1552 const register double A_11_0 = A_p[INDEX3(1,1,0,2,2)];
1553 const register double A_00_1 = A_p[INDEX3(0,0,1,2,2)];
1554 const register double A_01_1 = A_p[INDEX3(0,1,1,2,2)];
1555 const register double A_10_1 = A_p[INDEX3(1,0,1,2,2)];
1556 const register double A_11_1 = A_p[INDEX3(1,1,1,2,2)];
1557 const register double A_00_2 = A_p[INDEX3(0,0,2,2,2)];
1558 const register double A_01_2 = A_p[INDEX3(0,1,2,2,2)];
1559 const register double A_10_2 = A_p[INDEX3(1,0,2,2,2)];
1560 const register double A_11_2 = A_p[INDEX3(1,1,2,2,2)];
1561 const register double A_00_3 = A_p[INDEX3(0,0,3,2,2)];
1562 const register double A_01_3 = A_p[INDEX3(0,1,3,2,2)];
1563 const register double A_10_3 = A_p[INDEX3(1,0,3,2,2)];
1564 const register double A_11_3 = A_p[INDEX3(1,1,3,2,2)];
1565 const register double tmp4_0 = A_10_1 + A_10_2;
1566 const register double tmp12_0 = A_11_0 + A_11_2;
1567 const register double tmp2_0 = A_11_0 + A_11_1 + A_11_2 + A_11_3;
1568 const register double tmp10_0 = A_01_3 + A_10_3;
1569 const register double tmp14_0 = A_01_0 + A_01_3 + A_10_0 + A_10_3;
1570 const register double tmp0_0 = A_01_0 + A_01_3;
1571 const register double tmp13_0 = A_01_2 + A_10_1;
1572 const register double tmp3_0 = A_00_2 + A_00_3;
1573 const register double tmp11_0 = A_11_1 + A_11_3;
1574 const register double tmp18_0 = A_01_1 + A_10_1;
1575 const register double tmp1_0 = A_00_0 + A_00_1;
1576 const register double tmp15_0 = A_01_1 + A_10_2;
1577 const register double tmp5_0 = A_00_0 + A_00_1 + A_00_2 + A_00_3;
1578 const register double tmp16_0 = A_10_0 + A_10_3;
1579 const register double tmp6_0 = A_01_3 + A_10_0;
1580 const register double tmp17_0 = A_01_1 + A_01_2;
1581 const register double tmp9_0 = A_01_0 + A_10_0;
1582 const register double tmp7_0 = A_01_0 + A_10_3;
1583 const register double tmp8_0 = A_01_1 + A_01_2 + A_10_1 + A_10_2;
1584 const register double tmp19_0 = A_01_2 + A_10_2;
1585 const register double tmp14_1 = A_10_0*w8;
1586 const register double tmp23_1 = tmp3_0*w14;
1587 const register double tmp35_1 = A_01_0*w8;
1588 const register double tmp54_1 = tmp13_0*w8;
1589 const register double tmp20_1 = tmp9_0*w4;
1590 const register double tmp25_1 = tmp12_0*w12;
1591 const register double tmp2_1 = A_01_1*w4;
1592 const register double tmp44_1 = tmp7_0*w7;
1593 const register double tmp26_1 = tmp10_0*w4;
1594 const register double tmp52_1 = tmp18_0*w8;
1595 const register double tmp48_1 = A_10_1*w7;
1596 const register double tmp46_1 = A_01_3*w8;
1597 const register double tmp50_1 = A_01_0*w2;
1598 const register double tmp8_1 = tmp4_0*w5;
1599 const register double tmp56_1 = tmp19_0*w8;
1600 const register double tmp9_1 = tmp2_0*w10;
1601 const register double tmp19_1 = A_10_3*w2;
1602 const register double tmp47_1 = A_10_2*w4;
1603 const register double tmp16_1 = tmp3_0*w0;
1604 const register double tmp18_1 = tmp1_0*w6;
1605 const register double tmp31_1 = tmp11_0*w12;
1606 const register double tmp55_1 = tmp15_0*w2;
1607 const register double tmp39_1 = A_10_2*w7;
1608 const register double tmp11_1 = tmp6_0*w7;
1609 const register double tmp40_1 = tmp11_0*w17;
1610 const register double tmp34_1 = tmp15_0*w8;
1611 const register double tmp33_1 = tmp14_0*w5;
1612 const register double tmp24_1 = tmp11_0*w13;
1613 const register double tmp3_1 = tmp1_0*w0;
1614 const register double tmp5_1 = tmp2_0*w3;
1615 const register double tmp43_1 = tmp17_0*w5;
1616 const register double tmp15_1 = A_01_2*w4;
1617 const register double tmp53_1 = tmp19_0*w2;
1618 const register double tmp27_1 = tmp3_0*w11;
1619 const register double tmp32_1 = tmp13_0*w2;
1620 const register double tmp10_1 = tmp5_0*w9;
1621 const register double tmp37_1 = A_10_1*w4;
1622 const register double tmp38_1 = tmp5_0*w15;
1623 const register double tmp17_1 = A_01_1*w7;
1624 const register double tmp12_1 = tmp7_0*w4;
1625 const register double tmp22_1 = tmp10_0*w7;
1626 const register double tmp57_1 = tmp18_0*w2;
1627 const register double tmp28_1 = tmp9_0*w7;
1628 const register double tmp29_1 = tmp1_0*w14;
1629 const register double tmp51_1 = tmp11_0*w16;
1630 const register double tmp42_1 = tmp12_0*w16;
1631 const register double tmp49_1 = tmp12_0*w17;
1632 const register double tmp21_1 = tmp1_0*w11;
1633 const register double tmp1_1 = tmp0_0*w1;
1634 const register double tmp45_1 = tmp6_0*w4;
1635 const register double tmp7_1 = A_10_0*w2;
1636 const register double tmp6_1 = tmp3_0*w6;
1637 const register double tmp13_1 = tmp8_0*w1;
1638 const register double tmp36_1 = tmp16_0*w1;
1639 const register double tmp41_1 = A_01_3*w2;
1640 const register double tmp30_1 = tmp12_0*w13;
1641 const register double tmp4_1 = A_01_2*w7;
1642 const register double tmp0_1 = A_10_3*w8;
1643 EM_S[INDEX2(0,1,4)]+=tmp0_1 + tmp1_1 + tmp2_1 + tmp3_1 + tmp4_1 + tmp5_1 + tmp6_1 + tmp7_1 + tmp8_1;
1644 EM_S[INDEX2(1,2,4)]+=tmp10_1 + tmp11_1 + tmp12_1 + tmp13_1 + tmp9_1;
1645 EM_S[INDEX2(3,2,4)]+=tmp14_1 + tmp15_1 + tmp16_1 + tmp17_1 + tmp18_1 + tmp19_1 + tmp1_1 + tmp5_1 + tmp8_1;
1646 EM_S[INDEX2(0,0,4)]+=tmp13_1 + tmp20_1 + tmp21_1 + tmp22_1 + tmp23_1 + tmp24_1 + tmp25_1;
1647 EM_S[INDEX2(3,3,4)]+=tmp13_1 + tmp26_1 + tmp27_1 + tmp28_1 + tmp29_1 + tmp30_1 + tmp31_1;
1648 EM_S[INDEX2(3,0,4)]+=tmp10_1 + tmp32_1 + tmp33_1 + tmp34_1 + tmp9_1;
1649 EM_S[INDEX2(3,1,4)]+=tmp35_1 + tmp36_1 + tmp37_1 + tmp38_1 + tmp39_1 + tmp40_1 + tmp41_1 + tmp42_1 + tmp43_1;
1650 EM_S[INDEX2(2,1,4)]+=tmp10_1 + tmp13_1 + tmp44_1 + tmp45_1 + tmp9_1;
1651 EM_S[INDEX2(0,2,4)]+=tmp36_1 + tmp38_1 + tmp43_1 + tmp46_1 + tmp47_1 + tmp48_1 + tmp49_1 + tmp50_1 + tmp51_1;
1652 EM_S[INDEX2(2,0,4)]+=tmp0_1 + tmp15_1 + tmp17_1 + tmp1_1 + tmp38_1 + tmp49_1 + tmp51_1 + tmp7_1 + tmp8_1;
1653 EM_S[INDEX2(1,3,4)]+=tmp14_1 + tmp19_1 + tmp1_1 + tmp2_1 + tmp38_1 + tmp40_1 + tmp42_1 + tmp4_1 + tmp8_1;
1654 EM_S[INDEX2(2,3,4)]+=tmp16_1 + tmp18_1 + tmp35_1 + tmp36_1 + tmp41_1 + tmp43_1 + tmp47_1 + tmp48_1 + tmp5_1;
1655 EM_S[INDEX2(2,2,4)]+=tmp24_1 + tmp25_1 + tmp27_1 + tmp29_1 + tmp33_1 + tmp52_1 + tmp53_1;
1656 EM_S[INDEX2(1,0,4)]+=tmp36_1 + tmp37_1 + tmp39_1 + tmp3_1 + tmp43_1 + tmp46_1 + tmp50_1 + tmp5_1 + tmp6_1;
1657 EM_S[INDEX2(0,3,4)]+=tmp10_1 + tmp33_1 + tmp54_1 + tmp55_1 + tmp9_1;
1658 EM_S[INDEX2(1,1,4)]+=tmp21_1 + tmp23_1 + tmp30_1 + tmp31_1 + tmp33_1 + tmp56_1 + tmp57_1;
1659 } else { /* constant data */
1660 const register double A_00 = A_p[INDEX2(0,0,2)];
1661 const register double A_01 = A_p[INDEX2(0,1,2)];
1662 const register double A_10 = A_p[INDEX2(1,0,2)];
1663 const register double A_11 = A_p[INDEX2(1,1,2)];
1664 const register double tmp0_0 = A_01 + A_10;
1665 const register double tmp0_1 = A_00*w18;
1666 const register double tmp10_1 = A_01*w20;
1667 const register double tmp12_1 = A_00*w26;
1668 const register double tmp4_1 = A_00*w22;
1669 const register double tmp8_1 = A_00*w24;
1670 const register double tmp13_1 = A_10*w19;
1671 const register double tmp9_1 = tmp0_0*w20;
1672 const register double tmp3_1 = A_11*w21;
1673 const register double tmp11_1 = A_11*w27;
1674 const register double tmp1_1 = A_01*w19;
1675 const register double tmp6_1 = A_11*w23;
1676 const register double tmp7_1 = A_11*w25;
1677 const register double tmp2_1 = A_10*w20;
1678 const register double tmp5_1 = tmp0_0*w19;
1679 EM_S[INDEX2(0,1,4)]+=tmp0_1 + tmp1_1 + tmp2_1 + tmp3_1;
1680 EM_S[INDEX2(1,2,4)]+=tmp4_1 + tmp5_1 + tmp6_1;
1681 EM_S[INDEX2(3,2,4)]+=tmp0_1 + tmp1_1 + tmp2_1 + tmp3_1;
1682 EM_S[INDEX2(0,0,4)]+=tmp5_1 + tmp7_1 + tmp8_1;
1683 EM_S[INDEX2(3,3,4)]+=tmp5_1 + tmp7_1 + tmp8_1;
1684 EM_S[INDEX2(3,0,4)]+=tmp4_1 + tmp6_1 + tmp9_1;
1685 EM_S[INDEX2(3,1,4)]+=tmp10_1 + tmp11_1 + tmp12_1 + tmp13_1;
1686 EM_S[INDEX2(2,1,4)]+=tmp4_1 + tmp5_1 + tmp6_1;
1687 EM_S[INDEX2(0,2,4)]+=tmp10_1 + tmp11_1 + tmp12_1 + tmp13_1;
1688 EM_S[INDEX2(2,0,4)]+=tmp11_1 + tmp12_1 + tmp1_1 + tmp2_1;
1689 EM_S[INDEX2(1,3,4)]+=tmp11_1 + tmp12_1 + tmp1_1 + tmp2_1;
1690 EM_S[INDEX2(2,3,4)]+=tmp0_1 + tmp10_1 + tmp13_1 + tmp3_1;
1691 EM_S[INDEX2(2,2,4)]+=tmp7_1 + tmp8_1 + tmp9_1;
1692 EM_S[INDEX2(1,0,4)]+=tmp0_1 + tmp10_1 + tmp13_1 + tmp3_1;
1693 EM_S[INDEX2(0,3,4)]+=tmp4_1 + tmp6_1 + tmp9_1;
1694 EM_S[INDEX2(1,1,4)]+=tmp7_1 + tmp8_1 + tmp9_1;
1695 }
1696 }
1697 ///////////////
1698 // process B //
1699 ///////////////
1700 if (!B.isEmpty()) {
1701 add_EM_S=true;
1702 const double* B_p=const_cast<escript::Data*>(&B)->getSampleDataRO(e);
1703 if (B.actsExpanded()) {
1704 const register double B_0_0 = B_p[INDEX2(0,0,2)];
1705 const register double B_1_0 = B_p[INDEX2(1,0,2)];
1706 const register double B_0_1 = B_p[INDEX2(0,1,2)];
1707 const register double B_1_1 = B_p[INDEX2(1,1,2)];
1708 const register double B_0_2 = B_p[INDEX2(0,2,2)];
1709 const register double B_1_2 = B_p[INDEX2(1,2,2)];
1710 const register double B_0_3 = B_p[INDEX2(0,3,2)];
1711 const register double B_1_3 = B_p[INDEX2(1,3,2)];
1712 const register double tmp3_0 = B_0_0 + B_0_2;
1713 const register double tmp1_0 = B_1_2 + B_1_3;
1714 const register double tmp2_0 = B_0_1 + B_0_3;
1715 const register double tmp0_0 = B_1_0 + B_1_1;
1716 const register double tmp63_1 = B_1_1*w42;
1717 const register double tmp79_1 = B_1_1*w40;
1718 const register double tmp37_1 = tmp3_0*w35;
1719 const register double tmp8_1 = tmp0_0*w32;
1720 const register double tmp71_1 = B_0_1*w34;
1721 const register double tmp19_1 = B_0_3*w31;
1722 const register double tmp15_1 = B_0_3*w34;
1723 const register double tmp9_1 = tmp3_0*w34;
1724 const register double tmp35_1 = B_1_0*w36;
1725 const register double tmp66_1 = B_0_3*w28;
1726 const register double tmp28_1 = B_1_0*w42;
1727 const register double tmp22_1 = B_1_0*w40;
1728 const register double tmp16_1 = B_1_2*w29;
1729 const register double tmp6_1 = tmp2_0*w35;
1730 const register double tmp55_1 = B_1_3*w40;
1731 const register double tmp50_1 = B_1_3*w42;
1732 const register double tmp7_1 = tmp1_0*w29;
1733 const register double tmp1_1 = tmp1_0*w32;
1734 const register double tmp57_1 = B_0_3*w30;
1735 const register double tmp18_1 = B_1_1*w32;
1736 const register double tmp53_1 = B_1_0*w41;
1737 const register double tmp61_1 = B_1_3*w36;
1738 const register double tmp27_1 = B_0_3*w38;
1739 const register double tmp64_1 = B_0_2*w30;
1740 const register double tmp76_1 = B_0_1*w38;
1741 const register double tmp39_1 = tmp2_0*w34;
1742 const register double tmp62_1 = B_0_1*w31;
1743 const register double tmp56_1 = B_0_0*w31;
1744 const register double tmp49_1 = B_1_1*w36;
1745 const register double tmp2_1 = B_0_2*w31;
1746 const register double tmp23_1 = B_0_2*w33;
1747 const register double tmp38_1 = B_1_1*w43;
1748 const register double tmp74_1 = B_1_2*w41;
1749 const register double tmp43_1 = B_1_1*w41;
1750 const register double tmp58_1 = B_0_2*w28;
1751 const register double tmp67_1 = B_0_0*w33;
1752 const register double tmp33_1 = tmp0_0*w39;
1753 const register double tmp4_1 = B_0_0*w28;
1754 const register double tmp20_1 = B_0_0*w30;
1755 const register double tmp13_1 = B_0_2*w38;
1756 const register double tmp65_1 = B_1_2*w43;
1757 const register double tmp0_1 = tmp0_0*w29;
1758 const register double tmp41_1 = tmp3_0*w33;
1759 const register double tmp73_1 = B_0_2*w37;
1760 const register double tmp69_1 = B_0_0*w38;
1761 const register double tmp48_1 = B_1_2*w39;
1762 const register double tmp59_1 = B_0_1*w33;
1763 const register double tmp17_1 = B_1_3*w41;
1764 const register double tmp5_1 = B_0_3*w33;
1765 const register double tmp3_1 = B_0_1*w30;
1766 const register double tmp21_1 = B_0_1*w28;
1767 const register double tmp42_1 = B_1_0*w29;
1768 const register double tmp54_1 = B_1_2*w32;
1769 const register double tmp60_1 = B_1_0*w39;
1770 const register double tmp32_1 = tmp1_0*w36;
1771 const register double tmp10_1 = B_0_1*w37;
1772 const register double tmp14_1 = B_0_0*w35;
1773 const register double tmp29_1 = B_0_1*w35;
1774 const register double tmp26_1 = B_1_2*w36;
1775 const register double tmp30_1 = B_1_3*w43;
1776 const register double tmp70_1 = B_0_2*w35;
1777 const register double tmp34_1 = B_1_3*w39;
1778 const register double tmp51_1 = B_1_0*w43;
1779 const register double tmp31_1 = B_0_2*w34;
1780 const register double tmp45_1 = tmp3_0*w28;
1781 const register double tmp11_1 = tmp1_0*w39;
1782 const register double tmp52_1 = B_1_1*w29;
1783 const register double tmp44_1 = B_1_3*w32;
1784 const register double tmp25_1 = B_1_1*w39;
1785 const register double tmp47_1 = tmp2_0*w33;
1786 const register double tmp72_1 = B_1_3*w29;
1787 const register double tmp40_1 = tmp2_0*w28;
1788 const register double tmp46_1 = B_1_2*w40;
1789 const register double tmp36_1 = B_1_2*w42;
1790 const register double tmp24_1 = B_0_0*w37;
1791 const register double tmp77_1 = B_0_3*w35;
1792 const register double tmp68_1 = B_0_3*w37;
1793 const register double tmp78_1 = B_0_0*w34;
1794 const register double tmp12_1 = tmp0_0*w36;
1795 const register double tmp75_1 = B_1_0*w32;
1796 EM_S[INDEX2(0,1,4)]+=tmp0_1 + tmp1_1 + tmp2_1 + tmp3_1 + tmp4_1 + tmp5_1;
1797 EM_S[INDEX2(1,2,4)]+=tmp6_1 + tmp7_1 + tmp8_1 + tmp9_1;
1798 EM_S[INDEX2(3,2,4)]+=tmp10_1 + tmp11_1 + tmp12_1 + tmp13_1 + tmp14_1 + tmp15_1;
1799 EM_S[INDEX2(0,0,4)]+=tmp16_1 + tmp17_1 + tmp18_1 + tmp19_1 + tmp20_1 + tmp21_1 + tmp22_1 + tmp23_1;
1800 EM_S[INDEX2(3,3,4)]+=tmp24_1 + tmp25_1 + tmp26_1 + tmp27_1 + tmp28_1 + tmp29_1 + tmp30_1 + tmp31_1;
1801 EM_S[INDEX2(3,0,4)]+=tmp32_1 + tmp33_1 + tmp6_1 + tmp9_1;
1802 EM_S[INDEX2(3,1,4)]+=tmp34_1 + tmp35_1 + tmp36_1 + tmp37_1 + tmp38_1 + tmp39_1;
1803 EM_S[INDEX2(2,1,4)]+=tmp32_1 + tmp33_1 + tmp40_1 + tmp41_1;
1804 EM_S[INDEX2(0,2,4)]+=tmp42_1 + tmp43_1 + tmp44_1 + tmp45_1 + tmp46_1 + tmp47_1;
1805 EM_S[INDEX2(2,0,4)]+=tmp45_1 + tmp47_1 + tmp48_1 + tmp49_1 + tmp50_1 + tmp51_1;
1806 EM_S[INDEX2(1,3,4)]+=tmp37_1 + tmp39_1 + tmp52_1 + tmp53_1 + tmp54_1 + tmp55_1;
1807 EM_S[INDEX2(2,3,4)]+=tmp11_1 + tmp12_1 + tmp56_1 + tmp57_1 + tmp58_1 + tmp59_1;
1808 EM_S[INDEX2(2,2,4)]+=tmp60_1 + tmp61_1 + tmp62_1 + tmp63_1 + tmp64_1 + tmp65_1 + tmp66_1 + tmp67_1;
1809 EM_S[INDEX2(1,0,4)]+=tmp0_1 + tmp1_1 + tmp68_1 + tmp69_1 + tmp70_1 + tmp71_1;
1810 EM_S[INDEX2(0,3,4)]+=tmp40_1 + tmp41_1 + tmp7_1 + tmp8_1;
1811 EM_S[INDEX2(1,1,4)]+=tmp72_1 + tmp73_1 + tmp74_1 + tmp75_1 + tmp76_1 + tmp77_1 + tmp78_1 + tmp79_1;
1812 } else { /* constant data */
1813 const register double B_0 = B_p[0];
1814 const register double B_1 = B_p[1];
1815 const register double tmp6_1 = B_1*w50;
1816 const register double tmp1_1 = B_1*w45;
1817 const register double tmp5_1 = B_1*w49;
1818 const register double tmp4_1 = B_1*w48;
1819 const register double tmp0_1 = B_0*w44;
1820 const register double tmp2_1 = B_0*w46;
1821 const register double tmp7_1 = B_0*w51;
1822 const register double tmp3_1 = B_0*w47;
1823 EM_S[INDEX2(0,1,4)]+=tmp0_1 + tmp1_1;
1824 EM_S[INDEX2(1,2,4)]+=tmp1_1 + tmp2_1;
1825 EM_S[INDEX2(3,2,4)]+=tmp3_1 + tmp4_1;
1826 EM_S[INDEX2(0,0,4)]+=tmp0_1 + tmp5_1;
1827 EM_S[INDEX2(3,3,4)]+=tmp3_1 + tmp6_1;
1828 EM_S[INDEX2(3,0,4)]+=tmp2_1 + tmp4_1;
1829 EM_S[INDEX2(3,1,4)]+=tmp2_1 + tmp6_1;
1830 EM_S[INDEX2(2,1,4)]+=tmp4_1 + tmp7_1;
1831 EM_S[INDEX2(0,2,4)]+=tmp5_1 + tmp7_1;
1832 EM_S[INDEX2(2,0,4)]+=tmp6_1 + tmp7_1;
1833 EM_S[INDEX2(1,3,4)]+=tmp2_1 + tmp5_1;
1834 EM_S[INDEX2(2,3,4)]+=tmp0_1 + tmp4_1;
1835 EM_S[INDEX2(2,2,4)]+=tmp0_1 + tmp6_1;
1836 EM_S[INDEX2(1,0,4)]+=tmp1_1 + tmp3_1;
1837 EM_S[INDEX2(0,3,4)]+=tmp1_1 + tmp7_1;
1838 EM_S[INDEX2(1,1,4)]+=tmp3_1 + tmp5_1;
1839 }
1840 }
1841 ///////////////
1842 // process C //
1843 ///////////////
1844 if (!C.isEmpty()) {
1845 add_EM_S=true;
1846 const double* C_p=const_cast<escript::Data*>(&C)->getSampleDataRO(e);
1847 if (C.actsExpanded()) {
1848 const register double C_0_0 = C_p[INDEX2(0,0,2)];
1849 const register double C_1_0 = C_p[INDEX2(1,0,2)];
1850 const register double C_0_1 = C_p[INDEX2(0,1,2)];
1851 const register double C_1_1 = C_p[INDEX2(1,1,2)];
1852 const register double C_0_2 = C_p[INDEX2(0,2,2)];
1853 const register double C_1_2 = C_p[INDEX2(1,2,2)];
1854 const register double C_0_3 = C_p[INDEX2(0,3,2)];
1855 const register double C_1_3 = C_p[INDEX2(1,3,2)];
1856 const register double tmp2_0 = C_0_1 + C_0_3;
1857 const register double tmp1_0 = C_1_2 + C_1_3;
1858 const register double tmp3_0 = C_0_0 + C_0_2;
1859 const register double tmp0_0 = C_1_0 + C_1_1;
1860 const register double tmp64_1 = C_0_2*w30;
1861 const register double tmp14_1 = C_0_2*w28;
1862 const register double tmp19_1 = C_0_3*w31;
1863 const register double tmp22_1 = C_1_0*w40;
1864 const register double tmp37_1 = tmp3_0*w35;
1865 const register double tmp29_1 = C_0_1*w35;
1866 const register double tmp73_1 = C_0_2*w37;
1867 const register double tmp74_1 = C_1_2*w41;
1868 const register double tmp52_1 = C_1_3*w39;
1869 const register double tmp25_1 = C_1_1*w39;
1870 const register double tmp62_1 = C_0_1*w31;
1871 const register double tmp79_1 = C_1_1*w40;
1872 const register double tmp43_1 = C_1_1*w36;
1873 const register double tmp27_1 = C_0_3*w38;
1874 const register double tmp28_1 = C_1_0*w42;
1875 const register double tmp63_1 = C_1_1*w42;
1876 const register double tmp59_1 = C_0_3*w34;
1877 const register double tmp72_1 = C_1_3*w29;
1878 const register double tmp40_1 = tmp2_0*w35;
1879 const register double tmp13_1 = C_0_3*w30;
1880 const register double tmp51_1 = C_1_2*w40;
1881 const register double tmp54_1 = C_1_2*w42;
1882 const register double tmp12_1 = C_0_0*w31;
1883 const register double tmp2_1 = tmp1_0*w32;
1884 const register double tmp68_1 = C_0_2*w31;
1885 const register double tmp75_1 = C_1_0*w32;
1886 const register double tmp49_1 = C_1_1*w41;
1887 const register double tmp4_1 = C_0_2*w35;
1888 const register double tmp66_1 = C_0_3*w28;
1889 const register double tmp56_1 = C_0_1*w37;
1890 const register double tmp5_1 = C_0_1*w34;
1891 const register double tmp38_1 = tmp2_0*w34;
1892 const register double tmp76_1 = C_0_1*w38;
1893 const register double tmp21_1 = C_0_1*w28;
1894 const register double tmp69_1 = C_0_1*w30;
1895 const register double tmp53_1 = C_1_0*w36;
1896 const register double tmp42_1 = C_1_2*w39;
1897 const register double tmp32_1 = tmp1_0*w29;
1898 const register double tmp45_1 = C_1_0*w43;
1899 const register double tmp33_1 = tmp0_0*w32;
1900 const register double tmp35_1 = C_1_0*w41;
1901 const register double tmp26_1 = C_1_2*w36;
1902 const register double tmp67_1 = C_0_0*w33;
1903 const register double tmp31_1 = C_0_2*w34;
1904 const register double tmp20_1 = C_0_0*w30;
1905 const register double tmp70_1 = C_0_0*w28;
1906 const register double tmp8_1 = tmp0_0*w39;
1907 const register double tmp30_1 = C_1_3*w43;
1908 const register double tmp0_1 = tmp0_0*w29;
1909 const register double tmp17_1 = C_1_3*w41;
1910 const register double tmp58_1 = C_0_0*w35;
1911 const register double tmp9_1 = tmp3_0*w33;
1912 const register double tmp61_1 = C_1_3*w36;
1913 const register double tmp41_1 = tmp3_0*w34;
1914 const register double tmp50_1 = C_1_3*w32;
1915 const register double tmp18_1 = C_1_1*w32;
1916 const register double tmp6_1 = tmp1_0*w36;
1917 const register double tmp3_1 = C_0_0*w38;
1918 const register double tmp34_1 = C_1_1*w29;
1919 const register double tmp77_1 = C_0_3*w35;
1920 const register double tmp65_1 = C_1_2*w43;
1921 const register double tmp71_1 = C_0_3*w33;
1922 const register double tmp55_1 = C_1_1*w43;
1923 const register double tmp46_1 = tmp3_0*w28;
1924 const register double tmp24_1 = C_0_0*w37;
1925 const register double tmp10_1 = tmp1_0*w39;
1926 const register double tmp48_1 = C_1_0*w29;
1927 const register double tmp15_1 = C_0_1*w33;
1928 const register double tmp36_1 = C_1_2*w32;
1929 const register double tmp60_1 = C_1_0*w39;
1930 const register double tmp47_1 = tmp2_0*w33;
1931 const register double tmp16_1 = C_1_2*w29;
1932 const register double tmp1_1 = C_0_3*w37;
1933 const register double tmp7_1 = tmp2_0*w28;
1934 const register double tmp39_1 = C_1_3*w40;
1935 const register double tmp44_1 = C_1_3*w42;
1936 const register double tmp57_1 = C_0_2*w38;
1937 const register double tmp78_1 = C_0_0*w34;
1938 const register double tmp11_1 = tmp0_0*w36;
1939 const register double tmp23_1 = C_0_2*w33;
1940 EM_S[INDEX2(0,1,4)]+=tmp0_1 + tmp1_1 + tmp2_1 + tmp3_1 + tmp4_1 + tmp5_1;
1941 EM_S[INDEX2(1,2,4)]+=tmp6_1 + tmp7_1 + tmp8_1 + tmp9_1;
1942 EM_S[INDEX2(3,2,4)]+=tmp10_1 + tmp11_1 + tmp12_1 + tmp13_1 + tmp14_1 + tmp15_1;
1943 EM_S[INDEX2(0,0,4)]+=tmp16_1 + tmp17_1 + tmp18_1 + tmp19_1 + tmp20_1 + tmp21_1 + tmp22_1 + tmp23_1;
1944 EM_S[INDEX2(3,3,4)]+=tmp24_1 + tmp25_1 + tmp26_1 + tmp27_1 + tmp28_1 + tmp29_1 + tmp30_1 + tmp31_1;
1945 EM_S[INDEX2(3,0,4)]+=tmp32_1 + tmp33_1 + tmp7_1 + tmp9_1;
1946 EM_S[INDEX2(3,1,4)]+=tmp34_1 + tmp35_1 + tmp36_1 + tmp37_1 + tmp38_1 + tmp39_1;
1947 EM_S[INDEX2(2,1,4)]+=tmp32_1 + tmp33_1 + tmp40_1 + tmp41_1;
1948 EM_S[INDEX2(0,2,4)]+=tmp42_1 + tmp43_1 + tmp44_1 + tmp45_1 + tmp46_1 + tmp47_1;
1949 EM_S[INDEX2(2,0,4)]+=tmp46_1 + tmp47_1 + tmp48_1 + tmp49_1 + tmp50_1 + tmp51_1;
1950 EM_S[INDEX2(1,3,4)]+=tmp37_1 + tmp38_1 + tmp52_1 + tmp53_1 + tmp54_1 + tmp55_1;
1951 EM_S[INDEX2(2,3,4)]+=tmp10_1 + tmp11_1 + tmp56_1 + tmp57_1 + tmp58_1 + tmp59_1;
1952 EM_S[INDEX2(2,2,4)]+=tmp60_1 + tmp61_1 + tmp62_1 + tmp63_1 + tmp64_1 + tmp65_1 + tmp66_1 + tmp67_1;
1953 EM_S[INDEX2(1,0,4)]+=tmp0_1 + tmp2_1 + tmp68_1 + tmp69_1 + tmp70_1 + tmp71_1;
1954 EM_S[INDEX2(0,3,4)]+=tmp40_1 + tmp41_1 + tmp6_1 + tmp8_1;
1955 EM_S[INDEX2(1,1,4)]+=tmp72_1 + tmp73_1 + tmp74_1 + tmp75_1 + tmp76_1 + tmp77_1 + tmp78_1 + tmp79_1;
1956 } else { /* constant data */
1957 const register double C_0 = C_p[0];
1958 const register double C_1 = C_p[1];
1959 const register double tmp1_1 = C_1*w45;
1960 const register double tmp3_1 = C_0*w51;
1961 const register double tmp4_1 = C_0*w44;
1962 const register double tmp7_1 = C_0*w46;
1963 const register double tmp5_1 = C_1*w49;
1964 const register double tmp2_1 = C_1*w48;
1965 const register double tmp0_1 = C_0*w47;
1966 const register double tmp6_1 = C_1*w50;
1967 EM_S[INDEX2(0,1,4)]+=tmp0_1 + tmp1_1;
1968 EM_S[INDEX2(1,2,4)]+=tmp2_1 + tmp3_1;
1969 EM_S[INDEX2(3,2,4)]+=tmp2_1 + tmp4_1;
1970 EM_S[INDEX2(0,0,4)]+=tmp4_1 + tmp5_1;
1971 EM_S[INDEX2(3,3,4)]+=tmp0_1 + tmp6_1;
1972 EM_S[INDEX2(3,0,4)]+=tmp1_1 + tmp3_1;
1973 EM_S[INDEX2(3,1,4)]+=tmp5_1 + tmp7_1;
1974 EM_S[INDEX2(2,1,4)]+=tmp1_1 + tmp7_1;
1975 EM_S[INDEX2(0,2,4)]+=tmp3_1 + tmp6_1;
1976 EM_S[INDEX2(2,0,4)]+=tmp3_1 + tmp5_1;
1977 EM_S[INDEX2(1,3,4)]+=tmp6_1 + tmp7_1;
1978 EM_S[INDEX2(2,3,4)]+=tmp0_1 + tmp2_1;
1979 EM_S[INDEX2(2,2,4)]+=tmp4_1 + tmp6_1;
1980 EM_S[INDEX2(1,0,4)]+=tmp1_1 + tmp4_1;
1981 EM_S[INDEX2(0,3,4)]+=tmp2_1 + tmp7_1;
1982 EM_S[INDEX2(1,1,4)]+=tmp0_1 + tmp5_1;
1983 }
1984 }
1985 ///////////////
1986 // process D //
1987 ///////////////
1988 if (!D.isEmpty()) {
1989 add_EM_S=true;
1990 const double* D_p=const_cast<escript::Data*>(&D)->getSampleDataRO(e);
1991 if (D.actsExpanded()) {
1992 const register double D_0 = D_p[0];
1993 const register double D_1 = D_p[1];
1994 const register double D_2 = D_p[2];
1995 const register double D_3 = D_p[3];
1996 const register double tmp4_0 = D_1 + D_3;
1997 const register double tmp2_0 = D_0 + D_1 + D_2 + D_3;
1998 const register double tmp5_0 = D_0 + D_2;
1999 const register double tmp0_0 = D_0 + D_1;
2000 const register double tmp6_0 = D_0 + D_3;
2001 const register double tmp1_0 = D_2 + D_3;
2002 const register double tmp3_0 = D_1 + D_2;
2003 const register double tmp16_1 = D_1*w56;
2004 const register double tmp14_1 = tmp6_0*w54;
2005 const register double tmp8_1 = D_3*w55;
2006 const register double tmp2_1 = tmp2_0*w54;
2007 const register double tmp12_1 = tmp5_0*w52;
2008 const register double tmp4_1 = tmp0_0*w53;
2009 const register double tmp3_1 = tmp1_0*w52;
2010 const register double tmp13_1 = tmp4_0*w53;
2011 const register double tmp10_1 = tmp4_0*w52;
2012 const register double tmp1_1 = tmp1_0*w53;
2013 const register double tmp7_1 = D_3*w56;
2014 const register double tmp0_1 = tmp0_0*w52;
2015 const register double tmp11_1 = tmp5_0*w53;
2016 const register double tmp9_1 = D_0*w56;
2017 const register double tmp5_1 = tmp3_0*w54;
2018 const register double tmp18_1 = D_2*w56;
2019 const register double tmp17_1 = D_1*w55;
2020 const register double tmp6_1 = D_0*w55;
2021 const register double tmp15_1 = D_2*w55;
2022 EM_S[INDEX2(0,1,4)]+=tmp0_1 + tmp1_1;
2023 EM_S[INDEX2(1,2,4)]+=tmp2_1;
2024 EM_S[INDEX2(3,2,4)]+=tmp3_1 + tmp4_1;
2025 EM_S[INDEX2(0,0,4)]+=tmp5_1 + tmp6_1 + tmp7_1;
2026 EM_S[INDEX2(3,3,4)]+=tmp5_1 + tmp8_1 + tmp9_1;
2027 EM_S[INDEX2(3,0,4)]+=tmp2_1;
2028 EM_S[INDEX2(3,1,4)]+=tmp10_1 + tmp11_1;
2029 EM_S[INDEX2(2,1,4)]+=tmp2_1;
2030 EM_S[INDEX2(0,2,4)]+=tmp12_1 + tmp13_1;
2031 EM_S[INDEX2(2,0,4)]+=tmp12_1 + tmp13_1;
2032 EM_S[INDEX2(1,3,4)]+=tmp10_1 + tmp11_1;
2033 EM_S[INDEX2(2,3,4)]+=tmp3_1 + tmp4_1;
2034 EM_S[INDEX2(2,2,4)]+=tmp14_1 + tmp15_1 + tmp16_1;
2035 EM_S[INDEX2(1,0,4)]+=tmp0_1 + tmp1_1;
2036 EM_S[INDEX2(0,3,4)]+=tmp2_1;
2037 EM_S[INDEX2(1,1,4)]+=tmp14_1 + tmp17_1 + tmp18_1;
2038 } else { /* constant data */
2039 const register double D_0 = D_p[0];
2040 const register double tmp2_1 = D_0*w59;
2041 const register double tmp1_1 = D_0*w58;
2042 const register double tmp0_1 = D_0*w57;
2043 EM_S[INDEX2(0,1,4)]+=tmp0_1;
2044 EM_S[INDEX2(1,2,4)]+=tmp1_1;
2045 EM_S[INDEX2(3,2,4)]+=tmp0_1;
2046 EM_S[INDEX2(0,0,4)]+=tmp2_1;
2047 EM_S[INDEX2(3,3,4)]+=tmp2_1;
2048 EM_S[INDEX2(3,0,4)]+=tmp1_1;
2049 EM_S[INDEX2(3,1,4)]+=tmp0_1;
2050 EM_S[INDEX2(2,1,4)]+=tmp1_1;
2051 EM_S[INDEX2(0,2,4)]+=tmp0_1;
2052 EM_S[INDEX2(2,0,4)]+=tmp0_1;
2053 EM_S[INDEX2(1,3,4)]+=tmp0_1;
2054 EM_S[INDEX2(2,3,4)]+=tmp0_1;
2055 EM_S[INDEX2(2,2,4)]+=tmp2_1;
2056 EM_S[INDEX2(1,0,4)]+=tmp0_1;
2057 EM_S[INDEX2(0,3,4)]+=tmp1_1;
2058 EM_S[INDEX2(1,1,4)]+=tmp2_1;
2059 }
2060 }
2061 ///////////////
2062 // process X //
2063 ///////////////
2064 if (!X.isEmpty()) {
2065 add_EM_F=true;
2066 const double* X_p=const_cast<escript::Data*>(&X)->getSampleDataRO(e);
2067 if (X.actsExpanded()) {
2068 const register double X_0_0 = X_p[INDEX2(0,0,2)];
2069 const register double X_1_0 = X_p[INDEX2(1,0,2)];
2070 const register double X_0_1 = X_p[INDEX2(0,1,2)];
2071 const register double X_1_1 = X_p[INDEX2(1,1,2)];
2072 const register double X_0_2 = X_p[INDEX2(0,2,2)];
2073 const register double X_1_2 = X_p[INDEX2(1,2,2)];
2074 const register double X_0_3 = X_p[INDEX2(0,3,2)];
2075 const register double X_1_3 = X_p[INDEX2(1,3,2)];
2076 const register double tmp1_0 = X_1_1 + X_1_3;
2077 const register double tmp3_0 = X_0_0 + X_0_1;
2078 const register double tmp2_0 = X_1_0 + X_1_2;
2079 const register double tmp0_0 = X_0_2 + X_0_3;
2080 const register double tmp8_1 = tmp2_0*w66;
2081 const register double tmp5_1 = tmp3_0*w64;
2082 const register double tmp14_1 = tmp0_0*w64;
2083 const register double tmp3_1 = tmp3_0*w60;
2084 const register double tmp9_1 = tmp3_0*w63;
2085 const register double tmp13_1 = tmp3_0*w65;
2086 const register double tmp12_1 = tmp1_0*w66;
2087 const register double tmp10_1 = tmp0_0*w60;
2088 const register double tmp2_1 = tmp2_0*w61;
2089 const register double tmp6_1 = tmp2_0*w62;
2090 const register double tmp4_1 = tmp0_0*w65;
2091 const register double tmp11_1 = tmp1_0*w67;
2092 const register double tmp1_1 = tmp1_0*w62;
2093 const register double tmp7_1 = tmp1_0*w61;
2094 const register double tmp0_1 = tmp0_0*w63;
2095 const register double tmp15_1 = tmp2_0*w67;
2096 EM_F[0]+=tmp0_1 + tmp1_1 + tmp2_1 + tmp3_1;
2097 EM_F[1]+=tmp4_1 + tmp5_1 + tmp6_1 + tmp7_1;
2098 EM_F[2]+=tmp10_1 + tmp11_1 + tmp8_1 + tmp9_1;
2099 EM_F[3]+=tmp12_1 + tmp13_1 + tmp14_1 + tmp15_1;
2100 } else { /* constant data */
2101 const register double X_0 = X_p[0];
2102 const register double X_1 = X_p[1];
2103 const register double tmp3_1 = X_1*w71;
2104 const register double tmp2_1 = X_0*w70;
2105 const register double tmp1_1 = X_0*w68;
2106 const register double tmp0_1 = X_1*w69;
2107 EM_F[0]+=tmp0_1 + tmp1_1;
2108 EM_F[1]+=tmp0_1 + tmp2_1;
2109 EM_F[2]+=tmp1_1 + tmp3_1;
2110 EM_F[3]+=tmp2_1 + tmp3_1;
2111 }
2112 }
2113 ///////////////
2114 // process Y //
2115 ///////////////
2116 if (!Y.isEmpty()) {
2117 add_EM_F=true;
2118 const double* Y_p=const_cast<escript::Data*>(&Y)->getSampleDataRO(e);
2119 if (Y.actsExpanded()) {
2120 const register double Y_0 = Y_p[0];
2121 const register double Y_1 = Y_p[1];
2122 const register double Y_2 = Y_p[2];
2123 const register double Y_3 = Y_p[3];
2124 const register double tmp0_0 = Y_1 + Y_2;
2125 const register double tmp1_0 = Y_0 + Y_3;
2126 const register double tmp9_1 = Y_0*w74;
2127 const register double tmp4_1 = tmp1_0*w73;
2128 const register double tmp5_1 = Y_2*w74;
2129 const register double tmp7_1 = Y_1*w74;
2130 const register double tmp6_1 = Y_2*w72;
2131 const register double tmp2_1 = Y_3*w74;
2132 const register double tmp8_1 = Y_3*w72;
2133 const register double tmp3_1 = Y_1*w72;
2134 const register double tmp0_1 = Y_0*w72;
2135 const register double tmp1_1 = tmp0_0*w73;
2136 EM_F[0]+=tmp0_1 + tmp1_1 + tmp2_1;
2137 EM_F[1]+=tmp3_1 + tmp4_1 + tmp5_1;
2138 EM_F[2]+=tmp4_1 + tmp6_1 + tmp7_1;
2139 EM_F[3]+=tmp1_1 + tmp8_1 + tmp9_1;
2140 } else { /* constant data */
2141 const register double Y_0 = Y_p[0];
2142 const register double tmp0_1 = Y_0*w75;
2143 EM_F[0]+=tmp0_1;
2144 EM_F[1]+=tmp0_1;
2145 EM_F[2]+=tmp0_1;
2146 EM_F[3]+=tmp0_1;
2147 }
2148 }
2149 /* GENERATOR SNIP_PDE_SINGLE BOTTOM */
2150
2151 // add to matrix (if add_EM_S) and RHS (if add_EM_F)
2152 const index_t firstNode=m_N0*k1+k0;
2153 IndexVector rowIndex;
2154 rowIndex.push_back(m_dofMap[firstNode]);
2155 rowIndex.push_back(m_dofMap[firstNode+1]);
2156 rowIndex.push_back(m_dofMap[firstNode+m_N0]);
2157 rowIndex.push_back(m_dofMap[firstNode+m_N0+1]);
2158 if (add_EM_F) {
2159 //cout << "-- AddtoRHS -- " << endl;
2160 double *F_p=rhs.getSampleDataRW(0);
2161 for (index_t i=0; i<rowIndex.size(); i++) {
2162 if (rowIndex[i]<getNumDOF()) {
2163 F_p[rowIndex[i]]+=EM_F[i];
2164 //cout << "F[" << rowIndex[i] << "]=" << F_p[rowIndex[i]] << endl;
2165 }
2166 }
2167 //cout << "---"<<endl;
2168 }
2169 if (add_EM_S) {
2170 //cout << "-- AddtoSystem -- " << endl;
2171 addToSystemMatrix(mat, rowIndex, 1, rowIndex, 1, EM_S);
2172 }
2173
2174 } // end k0 loop
2175 } // end k1 loop
2176 } // end of coloring
2177 } // end of parallel region
2178 }
2179
2180 //protected
2181 void Rectangle::assemblePDESystem(Paso_SystemMatrix* mat,
2182 escript::Data& rhs, const escript::Data& A, const escript::Data& B,
2183 const escript::Data& C, const escript::Data& D,
2184 const escript::Data& X, const escript::Data& Y,
2185 const escript::Data& d, const escript::Data& y) const
2186 {
2187 const double h0 = m_l0/m_gNE0;
2188 const double h1 = m_l1/m_gNE1;
2189 dim_t numEq, numComp;
2190 if (!mat)
2191 numEq=numComp=(rhs.isEmpty() ? 1 : rhs.getDataPointSize());
2192 else {
2193 numEq=mat->logical_row_block_size;
2194 numComp=mat->logical_col_block_size;
2195 }
2196
2197 /* GENERATOR SNIP_PDE_SYSTEM_PRE TOP */
2198 const double w0 = -0.1555021169820365539*h1/h0;
2199 const double w1 = 0.041666666666666666667;
2200 const double w10 = -0.041666666666666666667*h0/h1;
2201 const double w11 = 0.1555021169820365539*h1/h0;
2202 const double w12 = 0.1555021169820365539*h0/h1;
2203 const double w13 = 0.01116454968463011277*h0/h1;
2204 const double w14 = 0.01116454968463011277*h1/h0;
2205 const double w15 = 0.041666666666666666667*h1/h0;
2206 const double w16 = -0.01116454968463011277*h0/h1;
2207 const double w17 = -0.1555021169820365539*h0/h1;
2208 const double w18 = -0.33333333333333333333*h1/h0;
2209 const double w19 = 0.25000000000000000000;
2210 const double w2 = -0.15550211698203655390;
2211 const double w20 = -0.25000000000000000000;
2212 const double w21 = 0.16666666666666666667*h0/h1;
2213 const double w22 = -0.16666666666666666667*h1/<