xref: /libCEED/backends/opt/ceed-opt-operator.c (revision efc78312550893c11c7921bf7c4699a3e027cc68) 
1 // Copyright (c) 2017-2018, Lawrence Livermore National Security, LLC.
2 // Produced at the Lawrence Livermore National Laboratory. LLNL-CODE-734707.
3 // All Rights reserved. See files LICENSE and NOTICE for details.
4 //
5 // This file is part of CEED, a collection of benchmarks, miniapps, software
6 // libraries and APIs for efficient high-order finite element and spectral
7 // element discretizations for exascale applications. For more information and
8 // source code availability see http://github.com/ceed.
9 //
10 // The CEED research is supported by the Exascale Computing Project 17-SC-20-SC,
11 // a collaborative effort of two U.S. Department of Energy organizations (Office
12 // of Science and the National Nuclear Security Administration) responsible for
13 // the planning and preparation of a capable exascale ecosystem, including
14 // software, applications, hardware, advanced system engineering and early
15 // testbed platforms, in support of the nation's exascale computing imperative.
16 
17 #include <string.h>
18 #include "ceed-opt.h"
19 #include "../ref/ceed-ref.h"
20 
21 //------------------------------------------------------------------------------
22 // Setup Input/Output Fields
23 //------------------------------------------------------------------------------
24 static int CeedOperatorSetupFields_Opt(CeedQFunction qf, CeedOperator op,
25                                        bool inOrOut, const CeedInt blksize,
26                                        CeedElemRestriction *blkrestr,
27                                        CeedVector *fullevecs, CeedVector *evecs,
28                                        CeedVector *qvecs, CeedInt starte,
29                                        CeedInt numfields, CeedInt Q) {
30   CeedInt dim, ierr, ncomp, size, P;
31   Ceed ceed;
32   ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
33   CeedBasis basis;
34   CeedElemRestriction r;
35   CeedOperatorField *opfields;
36   CeedQFunctionField *qffields;
37   if (inOrOut) {
38     ierr = CeedOperatorGetFields(op, NULL, &opfields);
39     CeedChk(ierr);
40     ierr = CeedQFunctionGetFields(qf, NULL, &qffields);
41     CeedChk(ierr);
42   } else {
43     ierr = CeedOperatorGetFields(op, &opfields, NULL);
44     CeedChk(ierr);
45     ierr = CeedQFunctionGetFields(qf, &qffields, NULL);
46     CeedChk(ierr);
47   }
48 
49   // Loop over fields
50   for (CeedInt i=0; i<numfields; i++) {
51     CeedEvalMode emode;
52     ierr = CeedQFunctionFieldGetEvalMode(qffields[i], &emode); CeedChk(ierr);
53 
54     if (emode != CEED_EVAL_WEIGHT) {
55       ierr = CeedOperatorFieldGetElemRestriction(opfields[i], &r);
56       CeedChk(ierr);
57       CeedElemRestriction_Ref *data;
58       ierr = CeedElemRestrictionGetData(r, (void *)&data); CeedChk(ierr);
59       Ceed ceed;
60       ierr = CeedElemRestrictionGetCeed(r, &ceed); CeedChk(ierr);
61       CeedInt nelem, elemsize, nnodes;
62       ierr = CeedElemRestrictionGetNumElements(r, &nelem); CeedChk(ierr);
63       ierr = CeedElemRestrictionGetElementSize(r, &elemsize); CeedChk(ierr);
64       ierr = CeedElemRestrictionGetNumNodes(r, &nnodes); CeedChk(ierr);
65       ierr = CeedElemRestrictionGetNumComponents(r, &ncomp); CeedChk(ierr);
66       ierr = CeedElemRestrictionCreateBlocked(ceed, nelem, elemsize,
67                                               blksize, nnodes, ncomp,
68                                               CEED_MEM_HOST, CEED_COPY_VALUES,
69                                               data->indices, &blkrestr[i+starte]);
70       CeedChk(ierr);
71       ierr = CeedElemRestrictionCreateVector(blkrestr[i+starte], NULL,
72                                              &fullevecs[i+starte]);
73       CeedChk(ierr);
74     }
75 
76     switch(emode) {
77     case CEED_EVAL_NONE:
78       ierr = CeedQFunctionFieldGetSize(qffields[i], &size); CeedChk(ierr);
79       ierr = CeedVectorCreate(ceed, Q*size*blksize, &evecs[i]); CeedChk(ierr);
80       ierr = CeedVectorCreate(ceed, Q*size*blksize, &qvecs[i]); CeedChk(ierr);
81       break;
82     case CEED_EVAL_INTERP:
83       ierr = CeedQFunctionFieldGetSize(qffields[i], &size); CeedChk(ierr);
84       ierr = CeedElemRestrictionGetElementSize(r, &P);
85       CeedChk(ierr);
86       ierr = CeedVectorCreate(ceed, P*size*blksize, &evecs[i]); CeedChk(ierr);
87       ierr = CeedVectorCreate(ceed, Q*size*blksize, &qvecs[i]); CeedChk(ierr);
88       break;
89     case CEED_EVAL_GRAD:
90       ierr = CeedOperatorFieldGetBasis(opfields[i], &basis); CeedChk(ierr);
91       ierr = CeedQFunctionFieldGetSize(qffields[i], &size); CeedChk(ierr);
92       ierr = CeedBasisGetDimension(basis, &dim); CeedChk(ierr);
93       ierr = CeedElemRestrictionGetElementSize(r, &P);
94       CeedChk(ierr);
95       ierr = CeedVectorCreate(ceed, P*size/dim*blksize, &evecs[i]); CeedChk(ierr);
96       ierr = CeedVectorCreate(ceed, Q*size*blksize, &qvecs[i]); CeedChk(ierr);
97       break;
98     case CEED_EVAL_WEIGHT: // Only on input fields
99       ierr = CeedOperatorFieldGetBasis(opfields[i], &basis); CeedChk(ierr);
100       ierr = CeedVectorCreate(ceed, Q*blksize, &qvecs[i]); CeedChk(ierr);
101       ierr = CeedBasisApply(basis, blksize, CEED_NOTRANSPOSE,
102                             CEED_EVAL_WEIGHT, CEED_VECTOR_NONE, qvecs[i]);
103       CeedChk(ierr);
104 
105       break;
106     case CEED_EVAL_DIV:
107       break; // Not implimented
108     case CEED_EVAL_CURL:
109       break; // Not implimented
110     }
111   }
112   return 0;
113 }
114 
115 //------------------------------------------------------------------------------
116 // Setup Operator
117 //------------------------------------------------------------------------------
118 static int CeedOperatorSetup_Opt(CeedOperator op) {
119   int ierr;
120   bool setupdone;
121   ierr = CeedOperatorGetSetupStatus(op, &setupdone); CeedChk(ierr);
122   if (setupdone) return 0;
123   Ceed ceed;
124   ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
125   Ceed_Opt *ceedimpl;
126   ierr = CeedGetData(ceed, (void *)&ceedimpl); CeedChk(ierr);
127   const CeedInt blksize = ceedimpl->blksize;
128   CeedOperator_Opt *impl;
129   ierr = CeedOperatorGetData(op, (void *)&impl); CeedChk(ierr);
130   CeedQFunction qf;
131   ierr = CeedOperatorGetQFunction(op, &qf); CeedChk(ierr);
132   CeedInt Q, numinputfields, numoutputfields;
133   ierr = CeedOperatorGetNumQuadraturePoints(op, &Q); CeedChk(ierr);
134   ierr = CeedQFunctionGetIdentityStatus(qf, &impl->identityqf); CeedChk(ierr);
135   ierr= CeedQFunctionGetNumArgs(qf, &numinputfields, &numoutputfields);
136   CeedChk(ierr);
137   CeedOperatorField *opinputfields, *opoutputfields;
138   ierr = CeedOperatorGetFields(op, &opinputfields, &opoutputfields);
139   CeedChk(ierr);
140   CeedQFunctionField *qfinputfields, *qfoutputfields;
141   ierr = CeedQFunctionGetFields(qf, &qfinputfields, &qfoutputfields);
142   CeedChk(ierr);
143 
144   // Allocate
145   ierr = CeedCalloc(numinputfields + numoutputfields, &impl->blkrestr);
146   CeedChk(ierr);
147   ierr = CeedCalloc(numinputfields + numoutputfields, &impl->evecs);
148   CeedChk(ierr);
149   ierr = CeedCalloc(numinputfields + numoutputfields, &impl->edata);
150   CeedChk(ierr);
151 
152   ierr = CeedCalloc(16, &impl->inputstate); CeedChk(ierr);
153   ierr = CeedCalloc(16, &impl->evecsin); CeedChk(ierr);
154   ierr = CeedCalloc(16, &impl->evecsout); CeedChk(ierr);
155   ierr = CeedCalloc(16, &impl->qvecsin); CeedChk(ierr);
156   ierr = CeedCalloc(16, &impl->qvecsout); CeedChk(ierr);
157 
158   impl->numein = numinputfields; impl->numeout = numoutputfields;
159 
160   // Set up infield and outfield pointer arrays
161   // Infields
162   ierr = CeedOperatorSetupFields_Opt(qf, op, 0, blksize, impl->blkrestr,
163                                      impl->evecs, impl->evecsin,
164                                      impl->qvecsin, 0,
165                                      numinputfields, Q);
166   CeedChk(ierr);
167   // Outfields
168   ierr = CeedOperatorSetupFields_Opt(qf, op, 1, blksize, impl->blkrestr,
169                                      impl->evecs, impl->evecsout,
170                                      impl->qvecsout, numinputfields,
171                                      numoutputfields, Q);
172   CeedChk(ierr);
173 
174   // Identity QFunctions
175   if (impl->identityqf) {
176     CeedEvalMode inmode, outmode;
177     CeedQFunctionField *infields, *outfields;
178     ierr = CeedQFunctionGetFields(qf, &infields, &outfields); CeedChk(ierr);
179 
180     for (CeedInt i=0; i<numinputfields; i++) {
181       ierr = CeedQFunctionFieldGetEvalMode(infields[i], &inmode);
182       CeedChk(ierr);
183       ierr = CeedQFunctionFieldGetEvalMode(outfields[i], &outmode);
184       CeedChk(ierr);
185 
186       ierr = CeedVectorDestroy(&impl->qvecsout[i]); CeedChk(ierr);
187       impl->qvecsout[i] = impl->qvecsin[i];
188       ierr = CeedVectorAddReference(impl->qvecsin[i]); CeedChk(ierr);
189     }
190   }
191 
192   ierr = CeedOperatorSetSetupDone(op); CeedChk(ierr);
193 
194   return 0;
195 }
196 
197 //------------------------------------------------------------------------------
198 // Setup Input Fields
199 //------------------------------------------------------------------------------
200 static inline int CeedOperatorSetupInputs_Opt(CeedInt numinputfields,
201     CeedQFunctionField *qfinputfields, CeedOperatorField *opinputfields,
202     CeedVector invec, CeedOperator_Opt *impl, CeedRequest *request) {
203   CeedInt ierr;
204   CeedEvalMode emode;
205   CeedVector vec;
206   CeedTransposeMode lmode;
207   uint64_t state;
208 
209   for (CeedInt i=0; i<numinputfields; i++) {
210     ierr = CeedQFunctionFieldGetEvalMode(qfinputfields[i], &emode);
211     CeedChk(ierr);
212     if (emode == CEED_EVAL_WEIGHT) { // Skip
213     } else {
214       // Get input vector
215       ierr = CeedOperatorFieldGetVector(opinputfields[i], &vec); CeedChk(ierr);
216       if (vec != CEED_VECTOR_ACTIVE) {
217         // Restrict
218         ierr = CeedVectorGetState(vec, &state); CeedChk(ierr);
219         if (state != impl->inputstate[i]) {
220           ierr = CeedOperatorFieldGetLMode(opinputfields[i], &lmode);
221           CeedChk(ierr);
222           ierr = CeedElemRestrictionApply(impl->blkrestr[i], CEED_NOTRANSPOSE,
223                                           lmode, vec, impl->evecs[i], request);
224           CeedChk(ierr);
225           impl->inputstate[i] = state;
226         }
227       } else {
228         // Set Qvec for CEED_EVAL_NONE
229         if (emode == CEED_EVAL_NONE) {
230           ierr = CeedVectorGetArray(impl->evecsin[i], CEED_MEM_HOST,
231                                     &impl->edata[i]); CeedChk(ierr);
232           ierr = CeedVectorSetArray(impl->qvecsin[i], CEED_MEM_HOST,
233                                     CEED_USE_POINTER,
234                                     impl->edata[i]); CeedChk(ierr);
235           ierr = CeedVectorRestoreArray(impl->evecsin[i],
236                                         &impl->edata[i]); CeedChk(ierr);
237         }
238       }
239       // Get evec
240       ierr = CeedVectorGetArrayRead(impl->evecs[i], CEED_MEM_HOST,
241                                     (const CeedScalar **) &impl->edata[i]);
242       CeedChk(ierr);
243     }
244   }
245   return 0;
246 }
247 
248 //------------------------------------------------------------------------------
249 // Input Basis Action
250 //------------------------------------------------------------------------------
251 static inline int CeedOperatorInputBasis_Opt(CeedInt e, CeedInt Q,
252     CeedQFunctionField *qfinputfields, CeedOperatorField *opinputfields,
253     CeedInt numinputfields, CeedInt blksize, CeedVector invec, bool skipactive,
254     CeedOperator_Opt *impl, CeedRequest *request) {
255   CeedInt ierr;
256   CeedInt dim, elemsize, size;
257   CeedElemRestriction Erestrict;
258   CeedEvalMode emode;
259   CeedBasis basis;
260   CeedVector vec;
261   CeedTransposeMode lmode;
262 
263   for (CeedInt i=0; i<numinputfields; i++) {
264     ierr = CeedOperatorFieldGetVector(opinputfields[i], &vec); CeedChk(ierr);
265     // Skip active input
266     if (skipactive) {
267       if (vec == CEED_VECTOR_ACTIVE)
268         continue;
269     }
270 
271     CeedInt activein = 0;
272     // Get elemsize, emode, size
273     ierr = CeedOperatorFieldGetElemRestriction(opinputfields[i], &Erestrict);
274     CeedChk(ierr);
275     ierr = CeedElemRestrictionGetElementSize(Erestrict, &elemsize);
276     CeedChk(ierr);
277     ierr = CeedQFunctionFieldGetEvalMode(qfinputfields[i], &emode);
278     CeedChk(ierr);
279     ierr = CeedQFunctionFieldGetSize(qfinputfields[i], &size); CeedChk(ierr);
280     // Restrict block active input
281     if (vec == CEED_VECTOR_ACTIVE) {
282       ierr = CeedOperatorFieldGetLMode(opinputfields[i], &lmode);
283       CeedChk(ierr);
284       ierr = CeedElemRestrictionApplyBlock(impl->blkrestr[i], e/blksize,
285                                            CEED_NOTRANSPOSE, lmode, invec,
286                                            impl->evecsin[i], request);
287       CeedChk(ierr);
288       activein = 1;
289     }
290     // Basis action
291     switch(emode) {
292     case CEED_EVAL_NONE:
293       if (!activein) {
294         ierr = CeedVectorSetArray(impl->qvecsin[i], CEED_MEM_HOST,
295                                   CEED_USE_POINTER,
296                                   &impl->edata[i][e*Q*size]); CeedChk(ierr);
297       }
298       break;
299     case CEED_EVAL_INTERP:
300       ierr = CeedOperatorFieldGetBasis(opinputfields[i], &basis);
301       CeedChk(ierr);
302       if (!activein) {
303         ierr = CeedVectorSetArray(impl->evecsin[i], CEED_MEM_HOST,
304                                   CEED_USE_POINTER,
305                                   &impl->edata[i][e*elemsize*size]);
306         CeedChk(ierr);
307       }
308       ierr = CeedBasisApply(basis, blksize, CEED_NOTRANSPOSE,
309                             CEED_EVAL_INTERP, impl->evecsin[i],
310                             impl->qvecsin[i]); CeedChk(ierr);
311       break;
312     case CEED_EVAL_GRAD:
313       ierr = CeedOperatorFieldGetBasis(opinputfields[i], &basis);
314       CeedChk(ierr);
315       if (!activein) {
316         ierr = CeedBasisGetDimension(basis, &dim); CeedChk(ierr);
317         ierr = CeedVectorSetArray(impl->evecsin[i], CEED_MEM_HOST,
318                                   CEED_USE_POINTER,
319                                   &impl->edata[i][e*elemsize*size/dim]);
320         CeedChk(ierr);
321       }
322       ierr = CeedBasisApply(basis, blksize, CEED_NOTRANSPOSE,
323                             CEED_EVAL_GRAD, impl->evecsin[i],
324                             impl->qvecsin[i]); CeedChk(ierr);
325       break;
326     case CEED_EVAL_WEIGHT:
327       break;  // No action
328     case CEED_EVAL_DIV:
329     case CEED_EVAL_CURL: {
330       // LCOV_EXCL_START
331       ierr = CeedOperatorFieldGetBasis(opinputfields[i], &basis);
332       CeedChk(ierr);
333       Ceed ceed;
334       ierr = CeedBasisGetCeed(basis, &ceed); CeedChk(ierr);
335       return CeedError(ceed, 1, "Ceed evaluation mode not implemented");
336       // LCOV_EXCL_STOP
337       break; // Not implemented
338     }
339     }
340   }
341   return 0;
342 }
343 
344 //------------------------------------------------------------------------------
345 // Output Basis Action
346 //------------------------------------------------------------------------------
347 static inline int CeedOperatorOutputBasis_Opt(CeedInt e, CeedInt Q,
348     CeedQFunctionField *qfoutputfields, CeedOperatorField *opoutputfields,
349     CeedInt blksize, CeedInt numinputfields, CeedInt numoutputfields,
350     CeedOperator op, CeedVector outvec, CeedOperator_Opt *impl,
351     CeedRequest *request) {
352   CeedInt ierr;
353   CeedElemRestriction Erestrict;
354   CeedEvalMode emode;
355   CeedBasis basis;
356   CeedVector vec;
357   CeedTransposeMode lmode;
358 
359   for (CeedInt i=0; i<numoutputfields; i++) {
360     // Get elemsize, emode, size
361     ierr = CeedOperatorFieldGetElemRestriction(opoutputfields[i], &Erestrict);
362     CeedChk(ierr);
363     ierr = CeedQFunctionFieldGetEvalMode(qfoutputfields[i], &emode);
364     CeedChk(ierr);
365     // Basis action
366     switch(emode) {
367     case CEED_EVAL_NONE:
368       break; // No action
369     case CEED_EVAL_INTERP:
370       ierr = CeedOperatorFieldGetBasis(opoutputfields[i], &basis);
371       CeedChk(ierr);
372       ierr = CeedBasisApply(basis, blksize, CEED_TRANSPOSE,
373                             CEED_EVAL_INTERP, impl->qvecsout[i],
374                             impl->evecsout[i]); CeedChk(ierr);
375       break;
376     case CEED_EVAL_GRAD:
377       ierr = CeedOperatorFieldGetBasis(opoutputfields[i], &basis);
378       CeedChk(ierr);
379       ierr = CeedBasisApply(basis, blksize, CEED_TRANSPOSE,
380                             CEED_EVAL_GRAD, impl->qvecsout[i],
381                             impl->evecsout[i]); CeedChk(ierr);
382       break;
383     case CEED_EVAL_WEIGHT: {
384       // LCOV_EXCL_START
385       Ceed ceed;
386       ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
387       return CeedError(ceed, 1, "CEED_EVAL_WEIGHT cannot be an output "
388                        "evaluation mode");
389       // LCOV_EXCL_STOP
390       break; // Should not occur
391     }
392     case CEED_EVAL_DIV:
393     case CEED_EVAL_CURL: {
394       // LCOV_EXCL_START
395       Ceed ceed;
396       ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
397       return CeedError(ceed, 1, "Ceed evaluation mode not implemented");
398       // LCOV_EXCL_STOP
399       break; // Not implemented
400     }
401     }
402     // Restrict output block
403     // Get output vector
404     ierr = CeedOperatorFieldGetVector(opoutputfields[i], &vec); CeedChk(ierr);
405     if (vec == CEED_VECTOR_ACTIVE)
406       vec = outvec;
407     // Restrict
408     ierr = CeedOperatorFieldGetLMode(opoutputfields[i], &lmode);
409     CeedChk(ierr);
410     ierr = CeedElemRestrictionApplyBlock(impl->blkrestr[i+impl->numein],
411                                          e/blksize, CEED_TRANSPOSE,
412                                          lmode, impl->evecsout[i],
413                                          vec, request); CeedChk(ierr);
414   }
415   return 0;
416 }
417 
418 //------------------------------------------------------------------------------
419 // Restore Input Vectors
420 //------------------------------------------------------------------------------
421 static inline int CeedOperatorRestoreInputs_Opt(CeedInt numinputfields,
422     CeedQFunctionField *qfinputfields, CeedOperatorField *opinputfields,
423     bool skipactive, CeedOperator_Opt *impl) {
424   CeedInt ierr;
425   CeedEvalMode emode;
426 
427   for (CeedInt i=0; i<numinputfields; i++) {
428     // Skip active inputs
429     if (skipactive) {
430       CeedVector vec;
431       ierr = CeedOperatorFieldGetVector(opinputfields[i], &vec); CeedChk(ierr);
432       if (vec == CEED_VECTOR_ACTIVE)
433         continue;
434     }
435     ierr = CeedQFunctionFieldGetEvalMode(qfinputfields[i], &emode);
436     CeedChk(ierr);
437     if (emode == CEED_EVAL_WEIGHT) { // Skip
438     } else {
439       ierr = CeedVectorRestoreArrayRead(impl->evecs[i],
440                                         (const CeedScalar **) &impl->edata[i]);
441       CeedChk(ierr);
442     }
443   }
444   return 0;
445 }
446 
447 //------------------------------------------------------------------------------
448 // Operator Apply
449 //------------------------------------------------------------------------------
450 static int CeedOperatorApply_Opt(CeedOperator op, CeedVector invec,
451                                  CeedVector outvec, CeedRequest *request) {
452   int ierr;
453   Ceed ceed;
454   ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
455   Ceed_Opt *ceedimpl;
456   ierr = CeedGetData(ceed, (void *)&ceedimpl); CeedChk(ierr);
457   CeedInt blksize = ceedimpl->blksize;
458   CeedOperator_Opt *impl;
459   ierr = CeedOperatorGetData(op, (void *)&impl); CeedChk(ierr);
460   CeedInt Q, numinputfields, numoutputfields, numelements;
461   ierr = CeedOperatorGetNumElements(op, &numelements); CeedChk(ierr);
462   ierr = CeedOperatorGetNumQuadraturePoints(op, &Q); CeedChk(ierr);
463   CeedInt nblks = (numelements/blksize) + !!(numelements%blksize);
464   CeedQFunction qf;
465   ierr = CeedOperatorGetQFunction(op, &qf); CeedChk(ierr);
466   ierr= CeedQFunctionGetNumArgs(qf, &numinputfields, &numoutputfields);
467   CeedChk(ierr);
468   CeedOperatorField *opinputfields, *opoutputfields;
469   ierr = CeedOperatorGetFields(op, &opinputfields, &opoutputfields);
470   CeedChk(ierr);
471   CeedQFunctionField *qfinputfields, *qfoutputfields;
472   ierr = CeedQFunctionGetFields(qf, &qfinputfields, &qfoutputfields);
473   CeedChk(ierr);
474   CeedEvalMode emode;
475 
476   // Setup
477   ierr = CeedOperatorSetup_Opt(op); CeedChk(ierr);
478 
479   // Input Evecs and Restriction
480   ierr = CeedOperatorSetupInputs_Opt(numinputfields, qfinputfields,
481                                      opinputfields, invec, impl, request);
482   CeedChk(ierr);
483 
484   // Output Lvecs, Evecs, and Qvecs
485   for (CeedInt i=0; i<numoutputfields; i++) {
486     // Set Qvec if needed
487     ierr = CeedQFunctionFieldGetEvalMode(qfoutputfields[i], &emode);
488     CeedChk(ierr);
489     if (emode == CEED_EVAL_NONE) {
490       // Set qvec to single block evec
491       ierr = CeedVectorGetArray(impl->evecsout[i], CEED_MEM_HOST,
492                                 &impl->edata[i + numinputfields]);
493       CeedChk(ierr);
494       ierr = CeedVectorSetArray(impl->qvecsout[i], CEED_MEM_HOST,
495                                 CEED_USE_POINTER,
496                                 impl->edata[i + numinputfields]); CeedChk(ierr);
497       ierr = CeedVectorRestoreArray(impl->evecsout[i],
498                                     &impl->edata[i + numinputfields]);
499       CeedChk(ierr);
500     }
501   }
502 
503   // Loop through elements
504   for (CeedInt e=0; e<nblks*blksize; e+=blksize) {
505     // Input basis apply
506     ierr = CeedOperatorInputBasis_Opt(e, Q, qfinputfields, opinputfields,
507                                       numinputfields, blksize, invec, false,
508                                       impl, request); CeedChk(ierr);
509 
510     // Q function
511     if (!impl->identityqf) {
512       ierr = CeedQFunctionApply(qf, Q*blksize, impl->qvecsin, impl->qvecsout);
513       CeedChk(ierr);
514     }
515 
516     // Output basis apply and restrict
517     ierr = CeedOperatorOutputBasis_Opt(e, Q, qfoutputfields, opoutputfields,
518                                        blksize, numinputfields, numoutputfields,
519                                        op, outvec, impl, request);
520     CeedChk(ierr);
521   }
522 
523   // Restore input arrays
524   ierr = CeedOperatorRestoreInputs_Opt(numinputfields, qfinputfields,
525                                        opinputfields, false, impl);
526   CeedChk(ierr);
527 
528   return 0;
529 }
530 
531 //------------------------------------------------------------------------------
532 // Assemble Linear QFunction
533 //------------------------------------------------------------------------------
534 static int CeedOperatorAssembleLinearQFunction_Opt(CeedOperator op,
535     CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request) {
536   int ierr;
537   Ceed ceed;
538   ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
539   Ceed_Opt *ceedimpl;
540   ierr = CeedGetData(ceed, (void *)&ceedimpl); CeedChk(ierr);
541   const CeedInt blksize = ceedimpl->blksize;
542   CeedOperator_Opt *impl;
543   ierr = CeedOperatorGetData(op, (void *)&impl); CeedChk(ierr);
544   CeedInt Q, numinputfields, numoutputfields, numelements, size;
545   ierr = CeedOperatorGetNumElements(op, &numelements); CeedChk(ierr);
546   ierr = CeedOperatorGetNumQuadraturePoints(op, &Q); CeedChk(ierr);
547   CeedInt nblks = (numelements/blksize) + !!(numelements%blksize);
548   CeedQFunction qf;
549   ierr = CeedOperatorGetQFunction(op, &qf); CeedChk(ierr);
550   ierr= CeedQFunctionGetNumArgs(qf, &numinputfields, &numoutputfields);
551   CeedChk(ierr);
552   CeedOperatorField *opinputfields, *opoutputfields;
553   ierr = CeedOperatorGetFields(op, &opinputfields, &opoutputfields);
554   CeedChk(ierr);
555   CeedQFunctionField *qfinputfields, *qfoutputfields;
556   ierr = CeedQFunctionGetFields(qf, &qfinputfields, &qfoutputfields);
557   CeedChk(ierr);
558   CeedVector vec, lvec;
559   CeedInt numactivein = 0, numactiveout = 0;
560   CeedVector *activein = NULL;
561   CeedScalar *a, *tmp;
562 
563   // Setup
564   ierr = CeedOperatorSetup_Opt(op); CeedChk(ierr);
565 
566   // Check for identity
567   if (impl->identityqf)
568     // LCOV_EXCL_START
569     return CeedError(ceed, 1, "Assembling identity qfunctions not supported");
570   // LCOV_EXCL_STOP
571 
572   // Input Evecs and Restriction
573   ierr = CeedOperatorSetupInputs_Opt(numinputfields, qfinputfields,
574                                      opinputfields, NULL, impl, request);
575   CeedChk(ierr);
576 
577   // Count number of active input fields
578   for (CeedInt i=0; i<numinputfields; i++) {
579     // Get input vector
580     ierr = CeedOperatorFieldGetVector(opinputfields[i], &vec); CeedChk(ierr);
581     // Check if active input
582     if (vec == CEED_VECTOR_ACTIVE) {
583       ierr = CeedQFunctionFieldGetSize(qfinputfields[i], &size); CeedChk(ierr);
584       ierr = CeedVectorSetValue(impl->qvecsin[i], 0.0); CeedChk(ierr);
585       ierr = CeedVectorGetArray(impl->qvecsin[i], CEED_MEM_HOST, &tmp);
586       CeedChk(ierr);
587       ierr = CeedRealloc(numactivein + size, &activein); CeedChk(ierr);
588       for (CeedInt field=0; field<size; field++) {
589         ierr = CeedVectorCreate(ceed, Q*blksize, &activein[numactivein+field]);
590         CeedChk(ierr);
591         ierr = CeedVectorSetArray(activein[numactivein+field], CEED_MEM_HOST,
592                                   CEED_USE_POINTER, &tmp[field*Q*blksize]);
593         CeedChk(ierr);
594       }
595       numactivein += size;
596       ierr = CeedVectorRestoreArray(impl->qvecsin[i], &tmp); CeedChk(ierr);
597     }
598   }
599 
600   // Count number of active output fields
601   for (CeedInt i=0; i<numoutputfields; i++) {
602     // Get output vector
603     ierr = CeedOperatorFieldGetVector(opoutputfields[i], &vec); CeedChk(ierr);
604     // Check if active output
605     if (vec == CEED_VECTOR_ACTIVE) {
606       ierr = CeedQFunctionFieldGetSize(qfoutputfields[i], &size); CeedChk(ierr);
607       numactiveout += size;
608     }
609   }
610 
611   // Check sizes
612   if (!numactivein || !numactiveout)
613     // LCOV_EXCL_START
614     return CeedError(ceed, 1, "Cannot assemble QFunction without active inputs "
615                      "and outputs");
616   // LCOV_EXCL_STOP
617 
618   // Setup lvec
619   ierr = CeedVectorCreate(ceed, nblks*blksize*Q*numactivein*numactiveout,
620                           &lvec); CeedChk(ierr);
621   ierr = CeedVectorGetArray(lvec, CEED_MEM_HOST, &a); CeedChk(ierr);
622 
623   // Create output restriction
624   ierr = CeedElemRestrictionCreateIdentity(ceed, numelements, Q,
625          numelements*Q, numactivein*numactiveout, rstr); CeedChk(ierr);
626   // Create assembled vector
627   ierr = CeedVectorCreate(ceed, numelements*Q*numactivein*numactiveout,
628                           assembled); CeedChk(ierr);
629 
630   // Loop through elements
631   for (CeedInt e=0; e<nblks*blksize; e+=blksize) {
632     // Input basis apply
633     ierr = CeedOperatorInputBasis_Opt(e, Q, qfinputfields, opinputfields,
634                                       numinputfields, blksize, NULL, true,
635                                       impl, request); CeedChk(ierr);
636 
637     // Assemble QFunction
638     for (CeedInt in=0; in<numactivein; in++) {
639       // Set Inputs
640       ierr = CeedVectorSetValue(activein[in], 1.0); CeedChk(ierr);
641       if (numactivein > 1) {
642         ierr = CeedVectorSetValue(activein[(in+numactivein-1)%numactivein],
643                                   0.0); CeedChk(ierr);
644       }
645       // Set Outputs
646       for (CeedInt out=0; out<numoutputfields; out++) {
647         // Get output vector
648         ierr = CeedOperatorFieldGetVector(opoutputfields[out], &vec);
649         CeedChk(ierr);
650         // Check if active output
651         if (vec == CEED_VECTOR_ACTIVE) {
652           CeedVectorSetArray(impl->qvecsout[out], CEED_MEM_HOST,
653                              CEED_USE_POINTER, a); CeedChk(ierr);
654           ierr = CeedQFunctionFieldGetSize(qfoutputfields[out], &size);
655           CeedChk(ierr);
656           a += size*Q*blksize; // Advance the pointer by the size of the output
657         }
658       }
659       // Apply QFunction
660       ierr = CeedQFunctionApply(qf, Q*blksize, impl->qvecsin, impl->qvecsout);
661       CeedChk(ierr);
662     }
663   }
664 
665   // Un-set output Qvecs to prevent accidental overwrite of Assembled
666   for (CeedInt out=0; out<numoutputfields; out++) {
667     // Get output vector
668     ierr = CeedOperatorFieldGetVector(opoutputfields[out], &vec);
669     CeedChk(ierr);
670     // Check if active output
671     if (vec == CEED_VECTOR_ACTIVE) {
672       CeedVectorSetArray(impl->qvecsout[out], CEED_MEM_HOST, CEED_COPY_VALUES,
673                          NULL); CeedChk(ierr);
674     }
675   }
676 
677   // Restore input arrays
678   ierr = CeedOperatorRestoreInputs_Opt(numinputfields, qfinputfields,
679                                        opinputfields, true, impl);
680   CeedChk(ierr);
681 
682   // Output blocked restriction
683   ierr = CeedVectorRestoreArray(lvec, &a); CeedChk(ierr);
684   ierr = CeedVectorSetValue(*assembled, 0.0); CeedChk(ierr);
685   CeedElemRestriction blkrstr;
686   ierr = CeedElemRestrictionCreateBlocked(ceed, numelements, Q, blksize,
687                                           numelements*Q,
688                                           numactivein*numactiveout,
689                                           CEED_MEM_HOST, CEED_COPY_VALUES,
690                                           NULL, &blkrstr); CeedChk(ierr);
691   ierr = CeedElemRestrictionApply(blkrstr, CEED_TRANSPOSE, CEED_NOTRANSPOSE,
692                                   lvec, *assembled, request); CeedChk(ierr);
693 
694   // Cleanup
695   for (CeedInt i=0; i<numactivein; i++) {
696     ierr = CeedVectorDestroy(&activein[i]); CeedChk(ierr);
697   }
698   ierr = CeedFree(&activein); CeedChk(ierr);
699   ierr = CeedVectorDestroy(&lvec); CeedChk(ierr);
700   ierr = CeedElemRestrictionDestroy(&blkrstr); CeedChk(ierr);
701 
702   return 0;
703 }
704 
705 //------------------------------------------------------------------------------
706 // Operator Destroy
707 //------------------------------------------------------------------------------
708 static int CeedOperatorDestroy_Opt(CeedOperator op) {
709   int ierr;
710   CeedOperator_Opt *impl;
711   ierr = CeedOperatorGetData(op, (void *)&impl); CeedChk(ierr);
712 
713   for (CeedInt i=0; i<impl->numein+impl->numeout; i++) {
714     ierr = CeedElemRestrictionDestroy(&impl->blkrestr[i]); CeedChk(ierr);
715     ierr = CeedVectorDestroy(&impl->evecs[i]); CeedChk(ierr);
716   }
717   ierr = CeedFree(&impl->blkrestr); CeedChk(ierr);
718   ierr = CeedFree(&impl->evecs); CeedChk(ierr);
719   ierr = CeedFree(&impl->edata); CeedChk(ierr);
720   ierr = CeedFree(&impl->inputstate); CeedChk(ierr);
721 
722   for (CeedInt i=0; i<impl->numein; i++) {
723     ierr = CeedVectorDestroy(&impl->evecsin[i]); CeedChk(ierr);
724     ierr = CeedVectorDestroy(&impl->qvecsin[i]); CeedChk(ierr);
725   }
726   ierr = CeedFree(&impl->evecsin); CeedChk(ierr);
727   ierr = CeedFree(&impl->qvecsin); CeedChk(ierr);
728 
729   for (CeedInt i=0; i<impl->numeout; i++) {
730     ierr = CeedVectorDestroy(&impl->evecsout[i]); CeedChk(ierr);
731     ierr = CeedVectorDestroy(&impl->qvecsout[i]); CeedChk(ierr);
732   }
733   ierr = CeedFree(&impl->evecsout); CeedChk(ierr);
734   ierr = CeedFree(&impl->qvecsout); CeedChk(ierr);
735 
736   ierr = CeedFree(&impl); CeedChk(ierr);
737   return 0;
738 }
739 
740 //------------------------------------------------------------------------------
741 // Operator Create
742 //------------------------------------------------------------------------------
743 int CeedOperatorCreate_Opt(CeedOperator op) {
744   int ierr;
745   Ceed ceed;
746   ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
747   Ceed_Opt *ceedimpl;
748   ierr = CeedGetData(ceed, (void *)&ceedimpl); CeedChk(ierr);
749   CeedInt blksize = ceedimpl->blksize;
750   CeedOperator_Opt *impl;
751 
752   ierr = CeedCalloc(1, &impl); CeedChk(ierr);
753   ierr = CeedOperatorSetData(op, (void *)&impl); CeedChk(ierr);
754 
755   if (blksize != 1 && blksize != 8)
756     // LCOV_EXCL_START
757     return CeedError(ceed, 1, "Opt backend cannot use blocksize: %d", blksize);
758   // LCOV_EXCL_STOP
759 
760   ierr = CeedSetBackendFunction(ceed, "Operator", op, "AssembleLinearQFunction",
761                                 CeedOperatorAssembleLinearQFunction_Opt);
762   CeedChk(ierr);
763   ierr = CeedSetBackendFunction(ceed, "Operator", op, "ApplyAdd",
764                                 CeedOperatorApply_Opt); CeedChk(ierr);
765   ierr = CeedSetBackendFunction(ceed, "Operator", op, "Destroy",
766                                 CeedOperatorDestroy_Opt); CeedChk(ierr);
767   return 0;
768 }
769 //------------------------------------------------------------------------------
770