xref: /libCEED/backends/opt/ceed-opt-operator.c (revision a76f8c5213523b6834dd9e702d23c9f20393ece7) 
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 
20 //------------------------------------------------------------------------------
21 // Setup Input/Output Fields
22 //------------------------------------------------------------------------------
23 static int CeedOperatorSetupFields_Opt(CeedQFunction qf, CeedOperator op,
24                                        bool inOrOut, const CeedInt blksize,
25                                        CeedElemRestriction *blkrestr,
26                                        CeedVector *fullevecs, CeedVector *evecs,
27                                        CeedVector *qvecs, CeedInt starte,
28                                        CeedInt numfields, CeedInt Q) {
29   CeedInt dim, ierr, ncomp, size, P;
30   Ceed ceed;
31   ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
32   CeedBasis basis;
33   CeedElemRestriction r;
34   CeedOperatorField *opfields;
35   CeedQFunctionField *qffields;
36   if (inOrOut) {
37     ierr = CeedOperatorGetFields(op, NULL, &opfields);
38     CeedChk(ierr);
39     ierr = CeedQFunctionGetFields(qf, NULL, &qffields);
40     CeedChk(ierr);
41   } else {
42     ierr = CeedOperatorGetFields(op, &opfields, NULL);
43     CeedChk(ierr);
44     ierr = CeedQFunctionGetFields(qf, &qffields, NULL);
45     CeedChk(ierr);
46   }
47 
48   // Loop over fields
49   for (CeedInt i=0; i<numfields; i++) {
50     CeedEvalMode emode;
51     ierr = CeedQFunctionFieldGetEvalMode(qffields[i], &emode); CeedChk(ierr);
52 
53     if (emode != CEED_EVAL_WEIGHT) {
54       ierr = CeedOperatorFieldGetElemRestriction(opfields[i], &r);
55       CeedChk(ierr);
56       Ceed ceed;
57       ierr = CeedElemRestrictionGetCeed(r, &ceed); CeedChk(ierr);
58       CeedInt nelem, elemsize, lsize, compstride;
59       ierr = CeedElemRestrictionGetNumElements(r, &nelem); CeedChk(ierr);
60       ierr = CeedElemRestrictionGetElementSize(r, &elemsize); CeedChk(ierr);
61       ierr = CeedElemRestrictionGetLVectorSize(r, &lsize); CeedChk(ierr);
62       ierr = CeedElemRestrictionGetNumComponents(r, &ncomp); CeedChk(ierr);
63 
64       bool strided;
65       ierr = CeedElemRestrictionGetStridedStatus(r, &strided); CeedChk(ierr);
66       if (strided) {
67         CeedInt strides[3];
68         ierr = CeedElemRestrictionGetStrides(r, &strides); CeedChk(ierr);
69         ierr = CeedElemRestrictionCreateBlockedStrided(ceed, nelem, elemsize,
70                blksize, ncomp, lsize, strides, &blkrestr[i+starte]);
71         CeedChk(ierr);
72       } else {
73         const CeedInt *offsets = NULL;
74         ierr = CeedElemRestrictionGetOffsets(r, CEED_MEM_HOST, &offsets);
75         CeedChk(ierr);
76         ierr = CeedElemRestrictionGetCompStride(r, &compstride); CeedChk(ierr);
77         ierr = CeedElemRestrictionCreateBlocked(ceed, nelem, elemsize,
78                                                 blksize, ncomp, compstride,
79                                                 lsize, CEED_MEM_HOST,
80                                                 CEED_COPY_VALUES, offsets,
81                                                 &blkrestr[i+starte]);
82         CeedChk(ierr);
83         ierr = CeedElemRestrictionRestoreOffsets(r, &offsets); CeedChk(ierr);
84       }
85       ierr = CeedElemRestrictionCreateVector(blkrestr[i+starte], NULL,
86                                              &fullevecs[i+starte]);
87       CeedChk(ierr);
88     }
89 
90     switch(emode) {
91     case CEED_EVAL_NONE:
92       ierr = CeedQFunctionFieldGetSize(qffields[i], &size); CeedChk(ierr);
93       ierr = CeedVectorCreate(ceed, Q*size*blksize, &evecs[i]); CeedChk(ierr);
94       ierr = CeedVectorCreate(ceed, Q*size*blksize, &qvecs[i]); CeedChk(ierr);
95       break;
96     case CEED_EVAL_INTERP:
97       ierr = CeedQFunctionFieldGetSize(qffields[i], &size); CeedChk(ierr);
98       ierr = CeedElemRestrictionGetElementSize(r, &P);
99       CeedChk(ierr);
100       ierr = CeedVectorCreate(ceed, P*size*blksize, &evecs[i]); CeedChk(ierr);
101       ierr = CeedVectorCreate(ceed, Q*size*blksize, &qvecs[i]); CeedChk(ierr);
102       break;
103     case CEED_EVAL_GRAD:
104       ierr = CeedOperatorFieldGetBasis(opfields[i], &basis); CeedChk(ierr);
105       ierr = CeedQFunctionFieldGetSize(qffields[i], &size); CeedChk(ierr);
106       ierr = CeedBasisGetDimension(basis, &dim); CeedChk(ierr);
107       ierr = CeedElemRestrictionGetElementSize(r, &P);
108       CeedChk(ierr);
109       ierr = CeedVectorCreate(ceed, P*size/dim*blksize, &evecs[i]); CeedChk(ierr);
110       ierr = CeedVectorCreate(ceed, Q*size*blksize, &qvecs[i]); CeedChk(ierr);
111       break;
112     case CEED_EVAL_WEIGHT: // Only on input fields
113       ierr = CeedOperatorFieldGetBasis(opfields[i], &basis); CeedChk(ierr);
114       ierr = CeedVectorCreate(ceed, Q*blksize, &qvecs[i]); CeedChk(ierr);
115       ierr = CeedBasisApply(basis, blksize, CEED_NOTRANSPOSE,
116                             CEED_EVAL_WEIGHT, CEED_VECTOR_NONE, qvecs[i]);
117       CeedChk(ierr);
118 
119       break;
120     case CEED_EVAL_DIV:
121       break; // Not implimented
122     case CEED_EVAL_CURL:
123       break; // Not implimented
124     }
125   }
126   return 0;
127 }
128 
129 //------------------------------------------------------------------------------
130 // Setup Operator
131 //------------------------------------------------------------------------------
132 static int CeedOperatorSetup_Opt(CeedOperator op) {
133   int ierr;
134   bool setupdone;
135   ierr = CeedOperatorGetSetupStatus(op, &setupdone); CeedChk(ierr);
136   if (setupdone) return 0;
137   Ceed ceed;
138   ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
139   Ceed_Opt *ceedimpl;
140   ierr = CeedGetData(ceed, (void *)&ceedimpl); CeedChk(ierr);
141   const CeedInt blksize = ceedimpl->blksize;
142   CeedOperator_Opt *impl;
143   ierr = CeedOperatorGetData(op, (void *)&impl); CeedChk(ierr);
144   CeedQFunction qf;
145   ierr = CeedOperatorGetQFunction(op, &qf); CeedChk(ierr);
146   CeedInt Q, numinputfields, numoutputfields;
147   ierr = CeedOperatorGetNumQuadraturePoints(op, &Q); CeedChk(ierr);
148   ierr = CeedQFunctionGetIdentityStatus(qf, &impl->identityqf); CeedChk(ierr);
149   ierr= CeedQFunctionGetNumArgs(qf, &numinputfields, &numoutputfields);
150   CeedChk(ierr);
151   CeedOperatorField *opinputfields, *opoutputfields;
152   ierr = CeedOperatorGetFields(op, &opinputfields, &opoutputfields);
153   CeedChk(ierr);
154   CeedQFunctionField *qfinputfields, *qfoutputfields;
155   ierr = CeedQFunctionGetFields(qf, &qfinputfields, &qfoutputfields);
156   CeedChk(ierr);
157 
158   // Allocate
159   ierr = CeedCalloc(numinputfields + numoutputfields, &impl->blkrestr);
160   CeedChk(ierr);
161   ierr = CeedCalloc(numinputfields + numoutputfields, &impl->evecs);
162   CeedChk(ierr);
163   ierr = CeedCalloc(numinputfields + numoutputfields, &impl->edata);
164   CeedChk(ierr);
165 
166   ierr = CeedCalloc(16, &impl->inputstate); CeedChk(ierr);
167   ierr = CeedCalloc(16, &impl->evecsin); CeedChk(ierr);
168   ierr = CeedCalloc(16, &impl->evecsout); CeedChk(ierr);
169   ierr = CeedCalloc(16, &impl->qvecsin); CeedChk(ierr);
170   ierr = CeedCalloc(16, &impl->qvecsout); CeedChk(ierr);
171 
172   impl->numein = numinputfields; impl->numeout = numoutputfields;
173 
174   // Set up infield and outfield pointer arrays
175   // Infields
176   ierr = CeedOperatorSetupFields_Opt(qf, op, 0, blksize, impl->blkrestr,
177                                      impl->evecs, impl->evecsin,
178                                      impl->qvecsin, 0,
179                                      numinputfields, Q);
180   CeedChk(ierr);
181   // Outfields
182   ierr = CeedOperatorSetupFields_Opt(qf, op, 1, blksize, impl->blkrestr,
183                                      impl->evecs, impl->evecsout,
184                                      impl->qvecsout, numinputfields,
185                                      numoutputfields, Q);
186   CeedChk(ierr);
187 
188   // Identity QFunctions
189   if (impl->identityqf) {
190     CeedEvalMode inmode, outmode;
191     CeedQFunctionField *infields, *outfields;
192     ierr = CeedQFunctionGetFields(qf, &infields, &outfields); CeedChk(ierr);
193 
194     for (CeedInt i=0; i<numinputfields; i++) {
195       ierr = CeedQFunctionFieldGetEvalMode(infields[i], &inmode);
196       CeedChk(ierr);
197       ierr = CeedQFunctionFieldGetEvalMode(outfields[i], &outmode);
198       CeedChk(ierr);
199 
200       ierr = CeedVectorDestroy(&impl->qvecsout[i]); CeedChk(ierr);
201       impl->qvecsout[i] = impl->qvecsin[i];
202       ierr = CeedVectorAddReference(impl->qvecsin[i]); CeedChk(ierr);
203     }
204   }
205 
206   ierr = CeedOperatorSetSetupDone(op); CeedChk(ierr);
207 
208   return 0;
209 }
210 
211 //------------------------------------------------------------------------------
212 // Setup Input Fields
213 //------------------------------------------------------------------------------
214 static inline int CeedOperatorSetupInputs_Opt(CeedInt numinputfields,
215     CeedQFunctionField *qfinputfields, CeedOperatorField *opinputfields,
216     CeedVector invec, CeedOperator_Opt *impl, CeedRequest *request) {
217   CeedInt ierr;
218   CeedEvalMode emode;
219   CeedVector vec;
220   uint64_t state;
221 
222   for (CeedInt i=0; i<numinputfields; i++) {
223     ierr = CeedQFunctionFieldGetEvalMode(qfinputfields[i], &emode);
224     CeedChk(ierr);
225     if (emode == CEED_EVAL_WEIGHT) { // Skip
226     } else {
227       // Get input vector
228       ierr = CeedOperatorFieldGetVector(opinputfields[i], &vec); CeedChk(ierr);
229       if (vec != CEED_VECTOR_ACTIVE) {
230         // Restrict
231         ierr = CeedVectorGetState(vec, &state); CeedChk(ierr);
232         if (state != impl->inputstate[i]) {
233           ierr = CeedElemRestrictionApply(impl->blkrestr[i], CEED_NOTRANSPOSE,
234                                           vec, impl->evecs[i], request);
235           CeedChk(ierr);
236           impl->inputstate[i] = state;
237         }
238       } else {
239         // Set Qvec for CEED_EVAL_NONE
240         if (emode == CEED_EVAL_NONE) {
241           ierr = CeedVectorGetArray(impl->evecsin[i], CEED_MEM_HOST,
242                                     &impl->edata[i]); CeedChk(ierr);
243           ierr = CeedVectorSetArray(impl->qvecsin[i], CEED_MEM_HOST,
244                                     CEED_USE_POINTER,
245                                     impl->edata[i]); CeedChk(ierr);
246           ierr = CeedVectorRestoreArray(impl->evecsin[i],
247                                         &impl->edata[i]); CeedChk(ierr);
248         }
249       }
250       // Get evec
251       ierr = CeedVectorGetArrayRead(impl->evecs[i], CEED_MEM_HOST,
252                                     (const CeedScalar **) &impl->edata[i]);
253       CeedChk(ierr);
254     }
255   }
256   return 0;
257 }
258 
259 //------------------------------------------------------------------------------
260 // Input Basis Action
261 //------------------------------------------------------------------------------
262 static inline int CeedOperatorInputBasis_Opt(CeedInt e, CeedInt Q,
263     CeedQFunctionField *qfinputfields, CeedOperatorField *opinputfields,
264     CeedInt numinputfields, CeedInt blksize, CeedVector invec, bool skipactive,
265     CeedOperator_Opt *impl, CeedRequest *request) {
266   CeedInt ierr;
267   CeedInt dim, elemsize, size;
268   CeedElemRestriction Erestrict;
269   CeedEvalMode emode;
270   CeedBasis basis;
271   CeedVector vec;
272 
273   for (CeedInt i=0; i<numinputfields; i++) {
274     ierr = CeedOperatorFieldGetVector(opinputfields[i], &vec); CeedChk(ierr);
275     // Skip active input
276     if (skipactive) {
277       if (vec == CEED_VECTOR_ACTIVE)
278         continue;
279     }
280 
281     CeedInt activein = 0;
282     // Get elemsize, emode, size
283     ierr = CeedOperatorFieldGetElemRestriction(opinputfields[i], &Erestrict);
284     CeedChk(ierr);
285     ierr = CeedElemRestrictionGetElementSize(Erestrict, &elemsize);
286     CeedChk(ierr);
287     ierr = CeedQFunctionFieldGetEvalMode(qfinputfields[i], &emode);
288     CeedChk(ierr);
289     ierr = CeedQFunctionFieldGetSize(qfinputfields[i], &size); CeedChk(ierr);
290     // Restrict block active input
291     if (vec == CEED_VECTOR_ACTIVE) {
292       ierr = CeedElemRestrictionApplyBlock(impl->blkrestr[i], e/blksize,
293                                            CEED_NOTRANSPOSE, invec,
294                                            impl->evecsin[i], request);
295       CeedChk(ierr);
296       activein = 1;
297     }
298     // Basis action
299     switch(emode) {
300     case CEED_EVAL_NONE:
301       if (!activein) {
302         ierr = CeedVectorSetArray(impl->qvecsin[i], CEED_MEM_HOST,
303                                   CEED_USE_POINTER,
304                                   &impl->edata[i][e*Q*size]); CeedChk(ierr);
305       }
306       break;
307     case CEED_EVAL_INTERP:
308       ierr = CeedOperatorFieldGetBasis(opinputfields[i], &basis);
309       CeedChk(ierr);
310       if (!activein) {
311         ierr = CeedVectorSetArray(impl->evecsin[i], CEED_MEM_HOST,
312                                   CEED_USE_POINTER,
313                                   &impl->edata[i][e*elemsize*size]);
314         CeedChk(ierr);
315       }
316       ierr = CeedBasisApply(basis, blksize, CEED_NOTRANSPOSE,
317                             CEED_EVAL_INTERP, impl->evecsin[i],
318                             impl->qvecsin[i]); CeedChk(ierr);
319       break;
320     case CEED_EVAL_GRAD:
321       ierr = CeedOperatorFieldGetBasis(opinputfields[i], &basis);
322       CeedChk(ierr);
323       if (!activein) {
324         ierr = CeedBasisGetDimension(basis, &dim); CeedChk(ierr);
325         ierr = CeedVectorSetArray(impl->evecsin[i], CEED_MEM_HOST,
326                                   CEED_USE_POINTER,
327                                   &impl->edata[i][e*elemsize*size/dim]);
328         CeedChk(ierr);
329       }
330       ierr = CeedBasisApply(basis, blksize, CEED_NOTRANSPOSE,
331                             CEED_EVAL_GRAD, impl->evecsin[i],
332                             impl->qvecsin[i]); CeedChk(ierr);
333       break;
334     case CEED_EVAL_WEIGHT:
335       break;  // No action
336     // LCOV_EXCL_START
337     case CEED_EVAL_DIV:
338     case CEED_EVAL_CURL: {
339       ierr = CeedOperatorFieldGetBasis(opinputfields[i], &basis);
340       CeedChk(ierr);
341       Ceed ceed;
342       ierr = CeedBasisGetCeed(basis, &ceed); CeedChk(ierr);
343       return CeedError(ceed, 1, "Ceed evaluation mode not implemented");
344       // LCOV_EXCL_STOP
345     }
346     }
347   }
348   return 0;
349 }
350 
351 //------------------------------------------------------------------------------
352 // Output Basis Action
353 //------------------------------------------------------------------------------
354 static inline int CeedOperatorOutputBasis_Opt(CeedInt e, CeedInt Q,
355     CeedQFunctionField *qfoutputfields, CeedOperatorField *opoutputfields,
356     CeedInt blksize, CeedInt numinputfields, CeedInt numoutputfields,
357     CeedOperator op, CeedVector outvec, CeedOperator_Opt *impl,
358     CeedRequest *request) {
359   CeedInt ierr;
360   CeedElemRestriction Erestrict;
361   CeedEvalMode emode;
362   CeedBasis basis;
363   CeedVector vec;
364 
365   for (CeedInt i=0; i<numoutputfields; i++) {
366     // Get elemsize, emode, size
367     ierr = CeedOperatorFieldGetElemRestriction(opoutputfields[i], &Erestrict);
368     CeedChk(ierr);
369     ierr = CeedQFunctionFieldGetEvalMode(qfoutputfields[i], &emode);
370     CeedChk(ierr);
371     // Basis action
372     switch(emode) {
373     case CEED_EVAL_NONE:
374       break; // No action
375     case CEED_EVAL_INTERP:
376       ierr = CeedOperatorFieldGetBasis(opoutputfields[i], &basis);
377       CeedChk(ierr);
378       ierr = CeedBasisApply(basis, blksize, CEED_TRANSPOSE,
379                             CEED_EVAL_INTERP, impl->qvecsout[i],
380                             impl->evecsout[i]); CeedChk(ierr);
381       break;
382     case CEED_EVAL_GRAD:
383       ierr = CeedOperatorFieldGetBasis(opoutputfields[i], &basis);
384       CeedChk(ierr);
385       ierr = CeedBasisApply(basis, blksize, CEED_TRANSPOSE,
386                             CEED_EVAL_GRAD, impl->qvecsout[i],
387                             impl->evecsout[i]); CeedChk(ierr);
388       break;
389     // LCOV_EXCL_START
390     case CEED_EVAL_WEIGHT: {
391       Ceed ceed;
392       ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
393       return CeedError(ceed, 1, "CEED_EVAL_WEIGHT cannot be an output "
394                        "evaluation mode");
395     }
396     case CEED_EVAL_DIV:
397     case CEED_EVAL_CURL: {
398       Ceed ceed;
399       ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
400       return CeedError(ceed, 1, "Ceed evaluation mode not implemented");
401       // LCOV_EXCL_STOP
402     }
403     }
404     // Restrict output block
405     // Get output vector
406     ierr = CeedOperatorFieldGetVector(opoutputfields[i], &vec); CeedChk(ierr);
407     if (vec == CEED_VECTOR_ACTIVE)
408       vec = outvec;
409     // Restrict
410     ierr = CeedElemRestrictionApplyBlock(impl->blkrestr[i+impl->numein],
411                                          e/blksize, CEED_TRANSPOSE,
412                                          impl->evecsout[i], vec, request);
413     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   CeedInt strides[3] = {1, Q, numactivein *numactiveout*Q};
625   ierr = CeedElemRestrictionCreateStrided(ceed, numelements, Q,
626                                           numactivein*numactiveout,
627                                           numactivein*numactiveout*numelements*Q,
628                                           strides, rstr); CeedChk(ierr);
629   // Create assembled vector
630   ierr = CeedVectorCreate(ceed, numelements*Q*numactivein*numactiveout,
631                           assembled); CeedChk(ierr);
632 
633   // Loop through elements
634   for (CeedInt e=0; e<nblks*blksize; e+=blksize) {
635     // Input basis apply
636     ierr = CeedOperatorInputBasis_Opt(e, Q, qfinputfields, opinputfields,
637                                       numinputfields, blksize, NULL, true,
638                                       impl, request); CeedChk(ierr);
639 
640     // Assemble QFunction
641     for (CeedInt in=0; in<numactivein; in++) {
642       // Set Inputs
643       ierr = CeedVectorSetValue(activein[in], 1.0); CeedChk(ierr);
644       if (numactivein > 1) {
645         ierr = CeedVectorSetValue(activein[(in+numactivein-1)%numactivein],
646                                   0.0); CeedChk(ierr);
647       }
648       // Set Outputs
649       for (CeedInt out=0; out<numoutputfields; out++) {
650         // Get output vector
651         ierr = CeedOperatorFieldGetVector(opoutputfields[out], &vec);
652         CeedChk(ierr);
653         // Check if active output
654         if (vec == CEED_VECTOR_ACTIVE) {
655           CeedVectorSetArray(impl->qvecsout[out], CEED_MEM_HOST,
656                              CEED_USE_POINTER, a); CeedChk(ierr);
657           ierr = CeedQFunctionFieldGetSize(qfoutputfields[out], &size);
658           CeedChk(ierr);
659           a += size*Q*blksize; // Advance the pointer by the size of the output
660         }
661       }
662       // Apply QFunction
663       ierr = CeedQFunctionApply(qf, Q*blksize, impl->qvecsin, impl->qvecsout);
664       CeedChk(ierr);
665     }
666   }
667 
668   // Un-set output Qvecs to prevent accidental overwrite of Assembled
669   for (CeedInt out=0; out<numoutputfields; out++) {
670     // Get output vector
671     ierr = CeedOperatorFieldGetVector(opoutputfields[out], &vec);
672     CeedChk(ierr);
673     // Check if active output
674     if (vec == CEED_VECTOR_ACTIVE) {
675       CeedVectorSetArray(impl->qvecsout[out], CEED_MEM_HOST, CEED_COPY_VALUES,
676                          NULL); CeedChk(ierr);
677     }
678   }
679 
680   // Restore input arrays
681   ierr = CeedOperatorRestoreInputs_Opt(numinputfields, qfinputfields,
682                                        opinputfields, true, impl);
683   CeedChk(ierr);
684 
685   // Output blocked restriction
686   ierr = CeedVectorRestoreArray(lvec, &a); CeedChk(ierr);
687   ierr = CeedVectorSetValue(*assembled, 0.0); CeedChk(ierr);
688   CeedElemRestriction blkrstr;
689   ierr = CeedElemRestrictionCreateBlockedStrided(ceed, numelements, Q, blksize,
690          numactivein*numactiveout, numactivein*numactiveout*numelements*Q,
691          strides, &blkrstr); CeedChk(ierr);
692   ierr = CeedElemRestrictionApply(blkrstr, CEED_TRANSPOSE, lvec, *assembled,
693                                   request); CeedChk(ierr);
694 
695   // Cleanup
696   for (CeedInt i=0; i<numactivein; i++) {
697     ierr = CeedVectorDestroy(&activein[i]); CeedChk(ierr);
698   }
699   ierr = CeedFree(&activein); CeedChk(ierr);
700   ierr = CeedVectorDestroy(&lvec); CeedChk(ierr);
701   ierr = CeedElemRestrictionDestroy(&blkrstr); CeedChk(ierr);
702 
703   return 0;
704 }
705 
706 //------------------------------------------------------------------------------
707 // Operator Destroy
708 //------------------------------------------------------------------------------
709 static int CeedOperatorDestroy_Opt(CeedOperator op) {
710   int ierr;
711   CeedOperator_Opt *impl;
712   ierr = CeedOperatorGetData(op, (void *)&impl); CeedChk(ierr);
713 
714   for (CeedInt i=0; i<impl->numein+impl->numeout; i++) {
715     ierr = CeedElemRestrictionDestroy(&impl->blkrestr[i]); CeedChk(ierr);
716     ierr = CeedVectorDestroy(&impl->evecs[i]); CeedChk(ierr);
717   }
718   ierr = CeedFree(&impl->blkrestr); CeedChk(ierr);
719   ierr = CeedFree(&impl->evecs); CeedChk(ierr);
720   ierr = CeedFree(&impl->edata); CeedChk(ierr);
721   ierr = CeedFree(&impl->inputstate); CeedChk(ierr);
722 
723   for (CeedInt i=0; i<impl->numein; i++) {
724     ierr = CeedVectorDestroy(&impl->evecsin[i]); CeedChk(ierr);
725     ierr = CeedVectorDestroy(&impl->qvecsin[i]); CeedChk(ierr);
726   }
727   ierr = CeedFree(&impl->evecsin); CeedChk(ierr);
728   ierr = CeedFree(&impl->qvecsin); CeedChk(ierr);
729 
730   for (CeedInt i=0; i<impl->numeout; i++) {
731     ierr = CeedVectorDestroy(&impl->evecsout[i]); CeedChk(ierr);
732     ierr = CeedVectorDestroy(&impl->qvecsout[i]); CeedChk(ierr);
733   }
734   ierr = CeedFree(&impl->evecsout); CeedChk(ierr);
735   ierr = CeedFree(&impl->qvecsout); CeedChk(ierr);
736 
737   ierr = CeedFree(&impl); CeedChk(ierr);
738   return 0;
739 }
740 
741 //------------------------------------------------------------------------------
742 // Operator Create
743 //------------------------------------------------------------------------------
744 int CeedOperatorCreate_Opt(CeedOperator op) {
745   int ierr;
746   Ceed ceed;
747   ierr = CeedOperatorGetCeed(op, &ceed); CeedChk(ierr);
748   Ceed_Opt *ceedimpl;
749   ierr = CeedGetData(ceed, (void *)&ceedimpl); CeedChk(ierr);
750   CeedInt blksize = ceedimpl->blksize;
751   CeedOperator_Opt *impl;
752 
753   ierr = CeedCalloc(1, &impl); CeedChk(ierr);
754   ierr = CeedOperatorSetData(op, (void *)&impl); CeedChk(ierr);
755 
756   if (blksize != 1 && blksize != 8)
757     // LCOV_EXCL_START
758     return CeedError(ceed, 1, "Opt backend cannot use blocksize: %d", blksize);
759   // LCOV_EXCL_STOP
760 
761   ierr = CeedSetBackendFunction(ceed, "Operator", op, "AssembleLinearQFunction",
762                                 CeedOperatorAssembleLinearQFunction_Opt);
763   CeedChk(ierr);
764   ierr = CeedSetBackendFunction(ceed, "Operator", op, "ApplyAdd",
765                                 CeedOperatorApply_Opt); CeedChk(ierr);
766   ierr = CeedSetBackendFunction(ceed, "Operator", op, "Destroy",
767                                 CeedOperatorDestroy_Opt); CeedChk(ierr);
768   return 0;
769 }
770 //------------------------------------------------------------------------------
771