xref: /libCEED/backends/opt/ceed-opt-operator.c (revision c5fcd9d51063cd8f4b580f58cf808ce605278e0d) 
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       CeedInterlaceMode imode;
63       ierr = CeedElemRestrictionGetNumElements(r, &nelem); CeedChk(ierr);
64       ierr = CeedElemRestrictionGetElementSize(r, &elemsize); CeedChk(ierr);
65       ierr = CeedElemRestrictionGetNumNodes(r, &nnodes); CeedChk(ierr);
66       ierr = CeedElemRestrictionGetNumComponents(r, &ncomp); CeedChk(ierr);
67       if (data->indices) {
68         ierr = CeedElemRestrictionGetIMode(r, &imode); CeedChk(ierr);
69         ierr = CeedElemRestrictionCreateBlocked(ceed, imode, nelem, elemsize,
70                                                 blksize, nnodes, ncomp,
71                                                 CEED_MEM_HOST, CEED_COPY_VALUES,
72                                                 data->indices,
73                                                 &blkrestr[i+starte]);
74         CeedChk(ierr);
75       } else {
76         CeedInt strides[3];
77         ierr = CeedElemRestrictionGetStrides(r, &strides); CeedChk(ierr);
78         ierr = CeedElemRestrictionCreateBlockedStrided(ceed, nelem, elemsize,
79                blksize, nnodes, ncomp, strides, &blkrestr[i+starte]);
80         CeedChk(ierr);
81       }
82       ierr = CeedElemRestrictionCreateVector(blkrestr[i+starte], NULL,
83                                              &fullevecs[i+starte]);
84       CeedChk(ierr);
85     }
86 
87     switch(emode) {
88     case CEED_EVAL_NONE:
89       ierr = CeedQFunctionFieldGetSize(qffields[i], &size); CeedChk(ierr);
90       ierr = CeedVectorCreate(ceed, Q*size*blksize, &evecs[i]); CeedChk(ierr);
91       ierr = CeedVectorCreate(ceed, Q*size*blksize, &qvecs[i]); CeedChk(ierr);
92       break;
93     case CEED_EVAL_INTERP:
94       ierr = CeedQFunctionFieldGetSize(qffields[i], &size); CeedChk(ierr);
95       ierr = CeedElemRestrictionGetElementSize(r, &P);
96       CeedChk(ierr);
97       ierr = CeedVectorCreate(ceed, P*size*blksize, &evecs[i]); CeedChk(ierr);
98       ierr = CeedVectorCreate(ceed, Q*size*blksize, &qvecs[i]); CeedChk(ierr);
99       break;
100     case CEED_EVAL_GRAD:
101       ierr = CeedOperatorFieldGetBasis(opfields[i], &basis); CeedChk(ierr);
102       ierr = CeedQFunctionFieldGetSize(qffields[i], &size); CeedChk(ierr);
103       ierr = CeedBasisGetDimension(basis, &dim); CeedChk(ierr);
104       ierr = CeedElemRestrictionGetElementSize(r, &P);
105       CeedChk(ierr);
106       ierr = CeedVectorCreate(ceed, P*size/dim*blksize, &evecs[i]); CeedChk(ierr);
107       ierr = CeedVectorCreate(ceed, Q*size*blksize, &qvecs[i]); CeedChk(ierr);
108       break;
109     case CEED_EVAL_WEIGHT: // Only on input fields
110       ierr = CeedOperatorFieldGetBasis(opfields[i], &basis); CeedChk(ierr);
111       ierr = CeedVectorCreate(ceed, Q*blksize, &qvecs[i]); CeedChk(ierr);
112       ierr = CeedBasisApply(basis, blksize, CEED_NOTRANSPOSE,
113                             CEED_EVAL_WEIGHT, CEED_VECTOR_NONE, qvecs[i]);
114       CeedChk(ierr);
115 
116       break;
117     case CEED_EVAL_DIV:
118       break; // Not implimented
119     case CEED_EVAL_CURL:
120       break; // Not implimented
121     }
122   }
123   return 0;
124 }
125 
126 //------------------------------------------------------------------------------
127 // Setup Operator
128 //------------------------------------------------------------------------------
129 static int CeedOperatorSetup_Opt(CeedOperator op) {
130   int ierr;
131   bool setupdone;
132   ierr = CeedOperatorGetSetupStatus(op, &setupdone); CeedChk(ierr);
133   if (setupdone) return 0;
134   Ceed ceed;
135   ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
136   Ceed_Opt *ceedimpl;
137   ierr = CeedGetData(ceed, (void *)&ceedimpl); CeedChk(ierr);
138   const CeedInt blksize = ceedimpl->blksize;
139   CeedOperator_Opt *impl;
140   ierr = CeedOperatorGetData(op, (void *)&impl); CeedChk(ierr);
141   CeedQFunction qf;
142   ierr = CeedOperatorGetQFunction(op, &qf); CeedChk(ierr);
143   CeedInt Q, numinputfields, numoutputfields;
144   ierr = CeedOperatorGetNumQuadraturePoints(op, &Q); CeedChk(ierr);
145   ierr = CeedQFunctionGetIdentityStatus(qf, &impl->identityqf); CeedChk(ierr);
146   ierr= CeedQFunctionGetNumArgs(qf, &numinputfields, &numoutputfields);
147   CeedChk(ierr);
148   CeedOperatorField *opinputfields, *opoutputfields;
149   ierr = CeedOperatorGetFields(op, &opinputfields, &opoutputfields);
150   CeedChk(ierr);
151   CeedQFunctionField *qfinputfields, *qfoutputfields;
152   ierr = CeedQFunctionGetFields(qf, &qfinputfields, &qfoutputfields);
153   CeedChk(ierr);
154 
155   // Allocate
156   ierr = CeedCalloc(numinputfields + numoutputfields, &impl->blkrestr);
157   CeedChk(ierr);
158   ierr = CeedCalloc(numinputfields + numoutputfields, &impl->evecs);
159   CeedChk(ierr);
160   ierr = CeedCalloc(numinputfields + numoutputfields, &impl->edata);
161   CeedChk(ierr);
162 
163   ierr = CeedCalloc(16, &impl->inputstate); CeedChk(ierr);
164   ierr = CeedCalloc(16, &impl->evecsin); CeedChk(ierr);
165   ierr = CeedCalloc(16, &impl->evecsout); CeedChk(ierr);
166   ierr = CeedCalloc(16, &impl->qvecsin); CeedChk(ierr);
167   ierr = CeedCalloc(16, &impl->qvecsout); CeedChk(ierr);
168 
169   impl->numein = numinputfields; impl->numeout = numoutputfields;
170 
171   // Set up infield and outfield pointer arrays
172   // Infields
173   ierr = CeedOperatorSetupFields_Opt(qf, op, 0, blksize, impl->blkrestr,
174                                      impl->evecs, impl->evecsin,
175                                      impl->qvecsin, 0,
176                                      numinputfields, Q);
177   CeedChk(ierr);
178   // Outfields
179   ierr = CeedOperatorSetupFields_Opt(qf, op, 1, blksize, impl->blkrestr,
180                                      impl->evecs, impl->evecsout,
181                                      impl->qvecsout, numinputfields,
182                                      numoutputfields, Q);
183   CeedChk(ierr);
184 
185   // Identity QFunctions
186   if (impl->identityqf) {
187     CeedEvalMode inmode, outmode;
188     CeedQFunctionField *infields, *outfields;
189     ierr = CeedQFunctionGetFields(qf, &infields, &outfields); CeedChk(ierr);
190 
191     for (CeedInt i=0; i<numinputfields; i++) {
192       ierr = CeedQFunctionFieldGetEvalMode(infields[i], &inmode);
193       CeedChk(ierr);
194       ierr = CeedQFunctionFieldGetEvalMode(outfields[i], &outmode);
195       CeedChk(ierr);
196 
197       ierr = CeedVectorDestroy(&impl->qvecsout[i]); CeedChk(ierr);
198       impl->qvecsout[i] = impl->qvecsin[i];
199       ierr = CeedVectorAddReference(impl->qvecsin[i]); CeedChk(ierr);
200     }
201   }
202 
203   ierr = CeedOperatorSetSetupDone(op); CeedChk(ierr);
204 
205   return 0;
206 }
207 
208 //------------------------------------------------------------------------------
209 // Setup Input Fields
210 //------------------------------------------------------------------------------
211 static inline int CeedOperatorSetupInputs_Opt(CeedInt numinputfields,
212     CeedQFunctionField *qfinputfields, CeedOperatorField *opinputfields,
213     CeedVector invec, CeedOperator_Opt *impl, CeedRequest *request) {
214   CeedInt ierr;
215   CeedEvalMode emode;
216   CeedVector vec;
217   uint64_t state;
218 
219   for (CeedInt i=0; i<numinputfields; i++) {
220     ierr = CeedQFunctionFieldGetEvalMode(qfinputfields[i], &emode);
221     CeedChk(ierr);
222     if (emode == CEED_EVAL_WEIGHT) { // Skip
223     } else {
224       // Get input vector
225       ierr = CeedOperatorFieldGetVector(opinputfields[i], &vec); CeedChk(ierr);
226       if (vec != CEED_VECTOR_ACTIVE) {
227         // Restrict
228         ierr = CeedVectorGetState(vec, &state); CeedChk(ierr);
229         if (state != impl->inputstate[i]) {
230           ierr = CeedElemRestrictionApply(impl->blkrestr[i], CEED_NOTRANSPOSE,
231                                           vec, impl->evecs[i], request);
232           CeedChk(ierr);
233           impl->inputstate[i] = state;
234         }
235       } else {
236         // Set Qvec for CEED_EVAL_NONE
237         if (emode == CEED_EVAL_NONE) {
238           ierr = CeedVectorGetArray(impl->evecsin[i], CEED_MEM_HOST,
239                                     &impl->edata[i]); CeedChk(ierr);
240           ierr = CeedVectorSetArray(impl->qvecsin[i], CEED_MEM_HOST,
241                                     CEED_USE_POINTER,
242                                     impl->edata[i]); CeedChk(ierr);
243           ierr = CeedVectorRestoreArray(impl->evecsin[i],
244                                         &impl->edata[i]); CeedChk(ierr);
245         }
246       }
247       // Get evec
248       ierr = CeedVectorGetArrayRead(impl->evecs[i], CEED_MEM_HOST,
249                                     (const CeedScalar **) &impl->edata[i]);
250       CeedChk(ierr);
251     }
252   }
253   return 0;
254 }
255 
256 //------------------------------------------------------------------------------
257 // Input Basis Action
258 //------------------------------------------------------------------------------
259 static inline int CeedOperatorInputBasis_Opt(CeedInt e, CeedInt Q,
260     CeedQFunctionField *qfinputfields, CeedOperatorField *opinputfields,
261     CeedInt numinputfields, CeedInt blksize, CeedVector invec, bool skipactive,
262     CeedOperator_Opt *impl, CeedRequest *request) {
263   CeedInt ierr;
264   CeedInt dim, elemsize, size;
265   CeedElemRestriction Erestrict;
266   CeedEvalMode emode;
267   CeedBasis basis;
268   CeedVector vec;
269 
270   for (CeedInt i=0; i<numinputfields; i++) {
271     ierr = CeedOperatorFieldGetVector(opinputfields[i], &vec); CeedChk(ierr);
272     // Skip active input
273     if (skipactive) {
274       if (vec == CEED_VECTOR_ACTIVE)
275         continue;
276     }
277 
278     CeedInt activein = 0;
279     // Get elemsize, emode, size
280     ierr = CeedOperatorFieldGetElemRestriction(opinputfields[i], &Erestrict);
281     CeedChk(ierr);
282     ierr = CeedElemRestrictionGetElementSize(Erestrict, &elemsize);
283     CeedChk(ierr);
284     ierr = CeedQFunctionFieldGetEvalMode(qfinputfields[i], &emode);
285     CeedChk(ierr);
286     ierr = CeedQFunctionFieldGetSize(qfinputfields[i], &size); CeedChk(ierr);
287     // Restrict block active input
288     if (vec == CEED_VECTOR_ACTIVE) {
289       ierr = CeedElemRestrictionApplyBlock(impl->blkrestr[i], e/blksize,
290                                            CEED_NOTRANSPOSE, invec,
291                                            impl->evecsin[i], request);
292       CeedChk(ierr);
293       activein = 1;
294     }
295     // Basis action
296     switch(emode) {
297     case CEED_EVAL_NONE:
298       if (!activein) {
299         ierr = CeedVectorSetArray(impl->qvecsin[i], CEED_MEM_HOST,
300                                   CEED_USE_POINTER,
301                                   &impl->edata[i][e*Q*size]); CeedChk(ierr);
302       }
303       break;
304     case CEED_EVAL_INTERP:
305       ierr = CeedOperatorFieldGetBasis(opinputfields[i], &basis);
306       CeedChk(ierr);
307       if (!activein) {
308         ierr = CeedVectorSetArray(impl->evecsin[i], CEED_MEM_HOST,
309                                   CEED_USE_POINTER,
310                                   &impl->edata[i][e*elemsize*size]);
311         CeedChk(ierr);
312       }
313       ierr = CeedBasisApply(basis, blksize, CEED_NOTRANSPOSE,
314                             CEED_EVAL_INTERP, impl->evecsin[i],
315                             impl->qvecsin[i]); CeedChk(ierr);
316       break;
317     case CEED_EVAL_GRAD:
318       ierr = CeedOperatorFieldGetBasis(opinputfields[i], &basis);
319       CeedChk(ierr);
320       if (!activein) {
321         ierr = CeedBasisGetDimension(basis, &dim); CeedChk(ierr);
322         ierr = CeedVectorSetArray(impl->evecsin[i], CEED_MEM_HOST,
323                                   CEED_USE_POINTER,
324                                   &impl->edata[i][e*elemsize*size/dim]);
325         CeedChk(ierr);
326       }
327       ierr = CeedBasisApply(basis, blksize, CEED_NOTRANSPOSE,
328                             CEED_EVAL_GRAD, impl->evecsin[i],
329                             impl->qvecsin[i]); CeedChk(ierr);
330       break;
331     case CEED_EVAL_WEIGHT:
332       break;  // No action
333     // LCOV_EXCL_START
334     case CEED_EVAL_DIV:
335     case CEED_EVAL_CURL: {
336       ierr = CeedOperatorFieldGetBasis(opinputfields[i], &basis);
337       CeedChk(ierr);
338       Ceed ceed;
339       ierr = CeedBasisGetCeed(basis, &ceed); CeedChk(ierr);
340       return CeedError(ceed, 1, "Ceed evaluation mode not implemented");
341       // LCOV_EXCL_STOP
342     }
343     }
344   }
345   return 0;
346 }
347 
348 //------------------------------------------------------------------------------
349 // Output Basis Action
350 //------------------------------------------------------------------------------
351 static inline int CeedOperatorOutputBasis_Opt(CeedInt e, CeedInt Q,
352     CeedQFunctionField *qfoutputfields, CeedOperatorField *opoutputfields,
353     CeedInt blksize, CeedInt numinputfields, CeedInt numoutputfields,
354     CeedOperator op, CeedVector outvec, CeedOperator_Opt *impl,
355     CeedRequest *request) {
356   CeedInt ierr;
357   CeedElemRestriction Erestrict;
358   CeedEvalMode emode;
359   CeedBasis basis;
360   CeedVector vec;
361 
362   for (CeedInt i=0; i<numoutputfields; i++) {
363     // Get elemsize, emode, size
364     ierr = CeedOperatorFieldGetElemRestriction(opoutputfields[i], &Erestrict);
365     CeedChk(ierr);
366     ierr = CeedQFunctionFieldGetEvalMode(qfoutputfields[i], &emode);
367     CeedChk(ierr);
368     // Basis action
369     switch(emode) {
370     case CEED_EVAL_NONE:
371       break; // No action
372     case CEED_EVAL_INTERP:
373       ierr = CeedOperatorFieldGetBasis(opoutputfields[i], &basis);
374       CeedChk(ierr);
375       ierr = CeedBasisApply(basis, blksize, CEED_TRANSPOSE,
376                             CEED_EVAL_INTERP, impl->qvecsout[i],
377                             impl->evecsout[i]); CeedChk(ierr);
378       break;
379     case CEED_EVAL_GRAD:
380       ierr = CeedOperatorFieldGetBasis(opoutputfields[i], &basis);
381       CeedChk(ierr);
382       ierr = CeedBasisApply(basis, blksize, CEED_TRANSPOSE,
383                             CEED_EVAL_GRAD, impl->qvecsout[i],
384                             impl->evecsout[i]); CeedChk(ierr);
385       break;
386     // LCOV_EXCL_START
387     case CEED_EVAL_WEIGHT: {
388       Ceed ceed;
389       ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
390       return CeedError(ceed, 1, "CEED_EVAL_WEIGHT cannot be an output "
391                        "evaluation mode");
392     }
393     case CEED_EVAL_DIV:
394     case CEED_EVAL_CURL: {
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     }
400     }
401     // Restrict output block
402     // Get output vector
403     ierr = CeedOperatorFieldGetVector(opoutputfields[i], &vec); CeedChk(ierr);
404     if (vec == CEED_VECTOR_ACTIVE)
405       vec = outvec;
406     // Restrict
407     ierr = CeedElemRestrictionApplyBlock(impl->blkrestr[i+impl->numein],
408                                          e/blksize, CEED_TRANSPOSE,
409                                          impl->evecsout[i], vec, request);
410     CeedChk(ierr);
411   }
412   return 0;
413 }
414 
415 //------------------------------------------------------------------------------
416 // Restore Input Vectors
417 //------------------------------------------------------------------------------
418 static inline int CeedOperatorRestoreInputs_Opt(CeedInt numinputfields,
419     CeedQFunctionField *qfinputfields, CeedOperatorField *opinputfields,
420     bool skipactive, CeedOperator_Opt *impl) {
421   CeedInt ierr;
422   CeedEvalMode emode;
423 
424   for (CeedInt i=0; i<numinputfields; i++) {
425     // Skip active inputs
426     if (skipactive) {
427       CeedVector vec;
428       ierr = CeedOperatorFieldGetVector(opinputfields[i], &vec); CeedChk(ierr);
429       if (vec == CEED_VECTOR_ACTIVE)
430         continue;
431     }
432     ierr = CeedQFunctionFieldGetEvalMode(qfinputfields[i], &emode);
433     CeedChk(ierr);
434     if (emode == CEED_EVAL_WEIGHT) { // Skip
435     } else {
436       ierr = CeedVectorRestoreArrayRead(impl->evecs[i],
437                                         (const CeedScalar **) &impl->edata[i]);
438       CeedChk(ierr);
439     }
440   }
441   return 0;
442 }
443 
444 //------------------------------------------------------------------------------
445 // Operator Apply
446 //------------------------------------------------------------------------------
447 static int CeedOperatorApply_Opt(CeedOperator op, CeedVector invec,
448                                  CeedVector outvec, CeedRequest *request) {
449   int ierr;
450   Ceed ceed;
451   ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
452   Ceed_Opt *ceedimpl;
453   ierr = CeedGetData(ceed, (void *)&ceedimpl); CeedChk(ierr);
454   CeedInt blksize = ceedimpl->blksize;
455   CeedOperator_Opt *impl;
456   ierr = CeedOperatorGetData(op, (void *)&impl); CeedChk(ierr);
457   CeedInt Q, numinputfields, numoutputfields, numelements;
458   ierr = CeedOperatorGetNumElements(op, &numelements); CeedChk(ierr);
459   ierr = CeedOperatorGetNumQuadraturePoints(op, &Q); CeedChk(ierr);
460   CeedInt nblks = (numelements/blksize) + !!(numelements%blksize);
461   CeedQFunction qf;
462   ierr = CeedOperatorGetQFunction(op, &qf); CeedChk(ierr);
463   ierr= CeedQFunctionGetNumArgs(qf, &numinputfields, &numoutputfields);
464   CeedChk(ierr);
465   CeedOperatorField *opinputfields, *opoutputfields;
466   ierr = CeedOperatorGetFields(op, &opinputfields, &opoutputfields);
467   CeedChk(ierr);
468   CeedQFunctionField *qfinputfields, *qfoutputfields;
469   ierr = CeedQFunctionGetFields(qf, &qfinputfields, &qfoutputfields);
470   CeedChk(ierr);
471   CeedEvalMode emode;
472 
473   // Setup
474   ierr = CeedOperatorSetup_Opt(op); CeedChk(ierr);
475 
476   // Input Evecs and Restriction
477   ierr = CeedOperatorSetupInputs_Opt(numinputfields, qfinputfields,
478                                      opinputfields, invec, impl, request);
479   CeedChk(ierr);
480 
481   // Output Lvecs, Evecs, and Qvecs
482   for (CeedInt i=0; i<numoutputfields; i++) {
483     // Set Qvec if needed
484     ierr = CeedQFunctionFieldGetEvalMode(qfoutputfields[i], &emode);
485     CeedChk(ierr);
486     if (emode == CEED_EVAL_NONE) {
487       // Set qvec to single block evec
488       ierr = CeedVectorGetArray(impl->evecsout[i], CEED_MEM_HOST,
489                                 &impl->edata[i + numinputfields]);
490       CeedChk(ierr);
491       ierr = CeedVectorSetArray(impl->qvecsout[i], CEED_MEM_HOST,
492                                 CEED_USE_POINTER,
493                                 impl->edata[i + numinputfields]); CeedChk(ierr);
494       ierr = CeedVectorRestoreArray(impl->evecsout[i],
495                                     &impl->edata[i + numinputfields]);
496       CeedChk(ierr);
497     }
498   }
499 
500   // Loop through elements
501   for (CeedInt e=0; e<nblks*blksize; e+=blksize) {
502     // Input basis apply
503     ierr = CeedOperatorInputBasis_Opt(e, Q, qfinputfields, opinputfields,
504                                       numinputfields, blksize, invec, false,
505                                       impl, request); CeedChk(ierr);
506 
507     // Q function
508     if (!impl->identityqf) {
509       ierr = CeedQFunctionApply(qf, Q*blksize, impl->qvecsin, impl->qvecsout);
510       CeedChk(ierr);
511     }
512 
513     // Output basis apply and restrict
514     ierr = CeedOperatorOutputBasis_Opt(e, Q, qfoutputfields, opoutputfields,
515                                        blksize, numinputfields, numoutputfields,
516                                        op, outvec, impl, request);
517     CeedChk(ierr);
518   }
519 
520   // Restore input arrays
521   ierr = CeedOperatorRestoreInputs_Opt(numinputfields, qfinputfields,
522                                        opinputfields, false, impl);
523   CeedChk(ierr);
524 
525   return 0;
526 }
527 
528 //------------------------------------------------------------------------------
529 // Assemble Linear QFunction
530 //------------------------------------------------------------------------------
531 static int CeedOperatorAssembleLinearQFunction_Opt(CeedOperator op,
532     CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request) {
533   int ierr;
534   Ceed ceed;
535   ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
536   Ceed_Opt *ceedimpl;
537   ierr = CeedGetData(ceed, (void *)&ceedimpl); CeedChk(ierr);
538   const CeedInt blksize = ceedimpl->blksize;
539   CeedOperator_Opt *impl;
540   ierr = CeedOperatorGetData(op, (void *)&impl); CeedChk(ierr);
541   CeedInt Q, numinputfields, numoutputfields, numelements, size;
542   ierr = CeedOperatorGetNumElements(op, &numelements); CeedChk(ierr);
543   ierr = CeedOperatorGetNumQuadraturePoints(op, &Q); CeedChk(ierr);
544   CeedInt nblks = (numelements/blksize) + !!(numelements%blksize);
545   CeedQFunction qf;
546   ierr = CeedOperatorGetQFunction(op, &qf); CeedChk(ierr);
547   ierr= CeedQFunctionGetNumArgs(qf, &numinputfields, &numoutputfields);
548   CeedChk(ierr);
549   CeedOperatorField *opinputfields, *opoutputfields;
550   ierr = CeedOperatorGetFields(op, &opinputfields, &opoutputfields);
551   CeedChk(ierr);
552   CeedQFunctionField *qfinputfields, *qfoutputfields;
553   ierr = CeedQFunctionGetFields(qf, &qfinputfields, &qfoutputfields);
554   CeedChk(ierr);
555   CeedVector vec, lvec;
556   CeedInt numactivein = 0, numactiveout = 0;
557   CeedVector *activein = NULL;
558   CeedScalar *a, *tmp;
559 
560   // Setup
561   ierr = CeedOperatorSetup_Opt(op); CeedChk(ierr);
562 
563   // Check for identity
564   if (impl->identityqf)
565     // LCOV_EXCL_START
566     return CeedError(ceed, 1, "Assembling identity qfunctions not supported");
567   // LCOV_EXCL_STOP
568 
569   // Input Evecs and Restriction
570   ierr = CeedOperatorSetupInputs_Opt(numinputfields, qfinputfields,
571                                      opinputfields, NULL, impl, request);
572   CeedChk(ierr);
573 
574   // Count number of active input fields
575   for (CeedInt i=0; i<numinputfields; i++) {
576     // Get input vector
577     ierr = CeedOperatorFieldGetVector(opinputfields[i], &vec); CeedChk(ierr);
578     // Check if active input
579     if (vec == CEED_VECTOR_ACTIVE) {
580       ierr = CeedQFunctionFieldGetSize(qfinputfields[i], &size); CeedChk(ierr);
581       ierr = CeedVectorSetValue(impl->qvecsin[i], 0.0); CeedChk(ierr);
582       ierr = CeedVectorGetArray(impl->qvecsin[i], CEED_MEM_HOST, &tmp);
583       CeedChk(ierr);
584       ierr = CeedRealloc(numactivein + size, &activein); CeedChk(ierr);
585       for (CeedInt field=0; field<size; field++) {
586         ierr = CeedVectorCreate(ceed, Q*blksize, &activein[numactivein+field]);
587         CeedChk(ierr);
588         ierr = CeedVectorSetArray(activein[numactivein+field], CEED_MEM_HOST,
589                                   CEED_USE_POINTER, &tmp[field*Q*blksize]);
590         CeedChk(ierr);
591       }
592       numactivein += size;
593       ierr = CeedVectorRestoreArray(impl->qvecsin[i], &tmp); CeedChk(ierr);
594     }
595   }
596 
597   // Count number of active output fields
598   for (CeedInt i=0; i<numoutputfields; i++) {
599     // Get output vector
600     ierr = CeedOperatorFieldGetVector(opoutputfields[i], &vec); CeedChk(ierr);
601     // Check if active output
602     if (vec == CEED_VECTOR_ACTIVE) {
603       ierr = CeedQFunctionFieldGetSize(qfoutputfields[i], &size); CeedChk(ierr);
604       numactiveout += size;
605     }
606   }
607 
608   // Check sizes
609   if (!numactivein || !numactiveout)
610     // LCOV_EXCL_START
611     return CeedError(ceed, 1, "Cannot assemble QFunction without active inputs "
612                      "and outputs");
613   // LCOV_EXCL_STOP
614 
615   // Setup lvec
616   ierr = CeedVectorCreate(ceed, nblks*blksize*Q*numactivein*numactiveout,
617                           &lvec); CeedChk(ierr);
618   ierr = CeedVectorGetArray(lvec, CEED_MEM_HOST, &a); CeedChk(ierr);
619 
620   // Create output restriction
621   CeedInt strides[3] = {1, Q, numactivein *numactiveout*Q};
622   ierr = CeedElemRestrictionCreateStrided(ceed, numelements, Q,
623                                           numelements*Q, numactivein*numactiveout, strides, rstr); CeedChk(ierr);
624   // Create assembled vector
625   ierr = CeedVectorCreate(ceed, numelements*Q*numactivein*numactiveout,
626                           assembled); CeedChk(ierr);
627 
628   // Loop through elements
629   for (CeedInt e=0; e<nblks*blksize; e+=blksize) {
630     // Input basis apply
631     ierr = CeedOperatorInputBasis_Opt(e, Q, qfinputfields, opinputfields,
632                                       numinputfields, blksize, NULL, true,
633                                       impl, request); CeedChk(ierr);
634 
635     // Assemble QFunction
636     for (CeedInt in=0; in<numactivein; in++) {
637       // Set Inputs
638       ierr = CeedVectorSetValue(activein[in], 1.0); CeedChk(ierr);
639       if (numactivein > 1) {
640         ierr = CeedVectorSetValue(activein[(in+numactivein-1)%numactivein],
641                                   0.0); CeedChk(ierr);
642       }
643       // Set Outputs
644       for (CeedInt out=0; out<numoutputfields; out++) {
645         // Get output vector
646         ierr = CeedOperatorFieldGetVector(opoutputfields[out], &vec);
647         CeedChk(ierr);
648         // Check if active output
649         if (vec == CEED_VECTOR_ACTIVE) {
650           CeedVectorSetArray(impl->qvecsout[out], CEED_MEM_HOST,
651                              CEED_USE_POINTER, a); CeedChk(ierr);
652           ierr = CeedQFunctionFieldGetSize(qfoutputfields[out], &size);
653           CeedChk(ierr);
654           a += size*Q*blksize; // Advance the pointer by the size of the output
655         }
656       }
657       // Apply QFunction
658       ierr = CeedQFunctionApply(qf, Q*blksize, impl->qvecsin, impl->qvecsout);
659       CeedChk(ierr);
660     }
661   }
662 
663   // Un-set output Qvecs to prevent accidental overwrite of Assembled
664   for (CeedInt out=0; out<numoutputfields; out++) {
665     // Get output vector
666     ierr = CeedOperatorFieldGetVector(opoutputfields[out], &vec);
667     CeedChk(ierr);
668     // Check if active output
669     if (vec == CEED_VECTOR_ACTIVE) {
670       CeedVectorSetArray(impl->qvecsout[out], CEED_MEM_HOST, CEED_COPY_VALUES,
671                          NULL); CeedChk(ierr);
672     }
673   }
674 
675   // Restore input arrays
676   ierr = CeedOperatorRestoreInputs_Opt(numinputfields, qfinputfields,
677                                        opinputfields, true, impl);
678   CeedChk(ierr);
679 
680   // Output blocked restriction
681   ierr = CeedVectorRestoreArray(lvec, &a); CeedChk(ierr);
682   ierr = CeedVectorSetValue(*assembled, 0.0); CeedChk(ierr);
683   CeedElemRestriction blkrstr;
684   ierr = CeedElemRestrictionCreateBlockedStrided(ceed, numelements, Q, blksize,
685          numelements*Q,
686          numactivein*numactiveout,
687          strides, &blkrstr);
688   CeedChk(ierr);
689   ierr = CeedElemRestrictionApply(blkrstr, CEED_TRANSPOSE, lvec, *assembled,
690                                   request); CeedChk(ierr);
691 
692   // Cleanup
693   for (CeedInt i=0; i<numactivein; i++) {
694     ierr = CeedVectorDestroy(&activein[i]); CeedChk(ierr);
695   }
696   ierr = CeedFree(&activein); CeedChk(ierr);
697   ierr = CeedVectorDestroy(&lvec); CeedChk(ierr);
698   ierr = CeedElemRestrictionDestroy(&blkrstr); CeedChk(ierr);
699 
700   return 0;
701 }
702 
703 //------------------------------------------------------------------------------
704 // Operator Destroy
705 //------------------------------------------------------------------------------
706 static int CeedOperatorDestroy_Opt(CeedOperator op) {
707   int ierr;
708   CeedOperator_Opt *impl;
709   ierr = CeedOperatorGetData(op, (void *)&impl); CeedChk(ierr);
710 
711   for (CeedInt i=0; i<impl->numein+impl->numeout; i++) {
712     ierr = CeedElemRestrictionDestroy(&impl->blkrestr[i]); CeedChk(ierr);
713     ierr = CeedVectorDestroy(&impl->evecs[i]); CeedChk(ierr);
714   }
715   ierr = CeedFree(&impl->blkrestr); CeedChk(ierr);
716   ierr = CeedFree(&impl->evecs); CeedChk(ierr);
717   ierr = CeedFree(&impl->edata); CeedChk(ierr);
718   ierr = CeedFree(&impl->inputstate); CeedChk(ierr);
719 
720   for (CeedInt i=0; i<impl->numein; i++) {
721     ierr = CeedVectorDestroy(&impl->evecsin[i]); CeedChk(ierr);
722     ierr = CeedVectorDestroy(&impl->qvecsin[i]); CeedChk(ierr);
723   }
724   ierr = CeedFree(&impl->evecsin); CeedChk(ierr);
725   ierr = CeedFree(&impl->qvecsin); CeedChk(ierr);
726 
727   for (CeedInt i=0; i<impl->numeout; i++) {
728     ierr = CeedVectorDestroy(&impl->evecsout[i]); CeedChk(ierr);
729     ierr = CeedVectorDestroy(&impl->qvecsout[i]); CeedChk(ierr);
730   }
731   ierr = CeedFree(&impl->evecsout); CeedChk(ierr);
732   ierr = CeedFree(&impl->qvecsout); CeedChk(ierr);
733 
734   ierr = CeedFree(&impl); CeedChk(ierr);
735   return 0;
736 }
737 
738 //------------------------------------------------------------------------------
739 // Operator Create
740 //------------------------------------------------------------------------------
741 int CeedOperatorCreate_Opt(CeedOperator op) {
742   int ierr;
743   Ceed ceed;
744   ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
745   Ceed_Opt *ceedimpl;
746   ierr = CeedGetData(ceed, (void *)&ceedimpl); CeedChk(ierr);
747   CeedInt blksize = ceedimpl->blksize;
748   CeedOperator_Opt *impl;
749 
750   ierr = CeedCalloc(1, &impl); CeedChk(ierr);
751   ierr = CeedOperatorSetData(op, (void *)&impl); CeedChk(ierr);
752 
753   if (blksize != 1 && blksize != 8)
754     // LCOV_EXCL_START
755     return CeedError(ceed, 1, "Opt backend cannot use blocksize: %d", blksize);
756   // LCOV_EXCL_STOP
757 
758   ierr = CeedSetBackendFunction(ceed, "Operator", op, "AssembleLinearQFunction",
759                                 CeedOperatorAssembleLinearQFunction_Opt);
760   CeedChk(ierr);
761   ierr = CeedSetBackendFunction(ceed, "Operator", op, "ApplyAdd",
762                                 CeedOperatorApply_Opt); CeedChk(ierr);
763   ierr = CeedSetBackendFunction(ceed, "Operator", op, "Destroy",
764                                 CeedOperatorDestroy_Opt); CeedChk(ierr);
765   return 0;
766 }
767 //------------------------------------------------------------------------------
768