xref: /libCEED/backends/opt/ceed-opt-operator.c (revision 9bc663991d6482bcb1d60b1f116148f11db83fa1)
1 // Copyright (c) 2017-2024, Lawrence Livermore National Security, LLC and other CEED contributors.
2 // All Rights Reserved. See the top-level LICENSE and NOTICE files for details.
3 //
4 // SPDX-License-Identifier: BSD-2-Clause
5 //
6 // This file is part of CEED:  http://github.com/ceed
7 
8 #include <ceed.h>
9 #include <ceed/backend.h>
10 #include <stdbool.h>
11 #include <stdint.h>
12 #include <string.h>
13 
14 #include "ceed-opt.h"
15 
16 //------------------------------------------------------------------------------
17 // Setup Input/Output Fields
18 //------------------------------------------------------------------------------
19 static int CeedOperatorSetupFields_Opt(CeedQFunction qf, CeedOperator op, bool is_input, bool *skip_rstr, bool *apply_add_basis,
20                                        const CeedInt block_size, CeedElemRestriction *block_rstr, CeedVector *e_vecs_full, CeedVector *e_vecs,
21                                        CeedVector *q_vecs, CeedInt start_e, CeedInt num_fields, CeedInt Q) {
22   Ceed                ceed;
23   CeedSize            e_size, q_size;
24   CeedInt             num_comp, size, P;
25   CeedQFunctionField *qf_fields;
26   CeedOperatorField  *op_fields;
27 
28   {
29     Ceed ceed_parent;
30 
31     CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
32     CeedCallBackend(CeedGetParent(ceed, &ceed_parent));
33     CeedCallBackend(CeedReferenceCopy(ceed_parent, &ceed));
34     CeedCallBackend(CeedDestroy(&ceed_parent));
35   }
36   if (is_input) {
37     CeedCallBackend(CeedOperatorGetFields(op, NULL, &op_fields, NULL, NULL));
38     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_fields, NULL, NULL));
39   } else {
40     CeedCallBackend(CeedOperatorGetFields(op, NULL, NULL, NULL, &op_fields));
41     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, NULL, NULL, &qf_fields));
42   }
43 
44   // Loop over fields
45   for (CeedInt i = 0; i < num_fields; i++) {
46     CeedEvalMode eval_mode;
47     CeedBasis    basis;
48 
49     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_fields[i], &eval_mode));
50     if (eval_mode != CEED_EVAL_WEIGHT) {
51       Ceed                ceed_rstr;
52       CeedSize            l_size;
53       CeedInt             num_elem, elem_size, comp_stride;
54       CeedRestrictionType rstr_type;
55       CeedElemRestriction rstr;
56 
57       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[i], &rstr));
58       CeedCallBackend(CeedElemRestrictionGetCeed(rstr, &ceed_rstr));
59       CeedCallBackend(CeedElemRestrictionGetNumElements(rstr, &num_elem));
60       CeedCallBackend(CeedElemRestrictionGetElementSize(rstr, &elem_size));
61       CeedCallBackend(CeedElemRestrictionGetLVectorSize(rstr, &l_size));
62       CeedCallBackend(CeedElemRestrictionGetNumComponents(rstr, &num_comp));
63       CeedCallBackend(CeedElemRestrictionGetCompStride(rstr, &comp_stride));
64 
65       CeedCallBackend(CeedElemRestrictionGetType(rstr, &rstr_type));
66       switch (rstr_type) {
67         case CEED_RESTRICTION_STANDARD: {
68           const CeedInt *offsets = NULL;
69 
70           CeedCallBackend(CeedElemRestrictionGetOffsets(rstr, CEED_MEM_HOST, &offsets));
71           CeedCallBackend(CeedElemRestrictionCreateBlocked(ceed_rstr, num_elem, elem_size, block_size, num_comp, comp_stride, l_size, CEED_MEM_HOST,
72                                                            CEED_COPY_VALUES, offsets, &block_rstr[i + start_e]));
73           CeedCallBackend(CeedElemRestrictionRestoreOffsets(rstr, &offsets));
74         } break;
75         case CEED_RESTRICTION_ORIENTED: {
76           const bool    *orients = NULL;
77           const CeedInt *offsets = NULL;
78 
79           CeedCallBackend(CeedElemRestrictionGetOffsets(rstr, CEED_MEM_HOST, &offsets));
80           CeedCallBackend(CeedElemRestrictionGetOrientations(rstr, CEED_MEM_HOST, &orients));
81           CeedCallBackend(CeedElemRestrictionCreateBlockedOriented(ceed_rstr, num_elem, elem_size, block_size, num_comp, comp_stride, l_size,
82                                                                    CEED_MEM_HOST, CEED_COPY_VALUES, offsets, orients, &block_rstr[i + start_e]));
83           CeedCallBackend(CeedElemRestrictionRestoreOffsets(rstr, &offsets));
84           CeedCallBackend(CeedElemRestrictionRestoreOrientations(rstr, &orients));
85         } break;
86         case CEED_RESTRICTION_CURL_ORIENTED: {
87           const CeedInt8 *curl_orients = NULL;
88           const CeedInt  *offsets      = NULL;
89 
90           CeedCallBackend(CeedElemRestrictionGetOffsets(rstr, CEED_MEM_HOST, &offsets));
91           CeedCallBackend(CeedElemRestrictionGetCurlOrientations(rstr, CEED_MEM_HOST, &curl_orients));
92           CeedCallBackend(CeedElemRestrictionCreateBlockedCurlOriented(ceed_rstr, num_elem, elem_size, block_size, num_comp, comp_stride, l_size,
93                                                                        CEED_MEM_HOST, CEED_COPY_VALUES, offsets, curl_orients,
94                                                                        &block_rstr[i + start_e]));
95           CeedCallBackend(CeedElemRestrictionRestoreOffsets(rstr, &offsets));
96           CeedCallBackend(CeedElemRestrictionRestoreCurlOrientations(rstr, &curl_orients));
97         } break;
98         case CEED_RESTRICTION_STRIDED: {
99           CeedInt strides[3];
100 
101           CeedCallBackend(CeedElemRestrictionGetStrides(rstr, strides));
102           CeedCallBackend(CeedElemRestrictionCreateBlockedStrided(ceed_rstr, num_elem, elem_size, block_size, num_comp, l_size, strides,
103                                                                   &block_rstr[i + start_e]));
104         } break;
105         case CEED_RESTRICTION_POINTS:
106           // Empty case - won't occur
107           break;
108       }
109       CeedCallBackend(CeedDestroy(&ceed_rstr));
110       CeedCallBackend(CeedElemRestrictionDestroy(&rstr));
111       CeedCallBackend(CeedElemRestrictionCreateVector(block_rstr[i + start_e], NULL, &e_vecs_full[i + start_e]));
112     }
113 
114     switch (eval_mode) {
115       case CEED_EVAL_NONE:
116         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
117         e_size = (CeedSize)Q * size * block_size;
118         CeedCallBackend(CeedVectorCreate(ceed, e_size, &e_vecs[i]));
119         q_size = (CeedSize)Q * size * block_size;
120         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
121         break;
122       case CEED_EVAL_INTERP:
123       case CEED_EVAL_GRAD:
124       case CEED_EVAL_DIV:
125       case CEED_EVAL_CURL:
126         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
127         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
128         CeedCallBackend(CeedBasisGetNumNodes(basis, &P));
129         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
130         CeedCallBackend(CeedBasisDestroy(&basis));
131         e_size = (CeedSize)P * num_comp * block_size;
132         CeedCallBackend(CeedVectorCreate(ceed, e_size, &e_vecs[i]));
133         q_size = (CeedSize)Q * size * block_size;
134         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
135         break;
136       case CEED_EVAL_WEIGHT:  // Only on input fields
137         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
138         q_size = (CeedSize)Q * block_size;
139         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
140         CeedCallBackend(CeedBasisApply(basis, block_size, CEED_NOTRANSPOSE, CEED_EVAL_WEIGHT, CEED_VECTOR_NONE, q_vecs[i]));
141         CeedCallBackend(CeedBasisDestroy(&basis));
142         break;
143     }
144     // Initialize E-vec arrays
145     if (e_vecs[i]) CeedCallBackend(CeedVectorSetValue(e_vecs[i], 0.0));
146   }
147   // Drop duplicate restrictions
148   if (is_input) {
149     for (CeedInt i = 0; i < num_fields; i++) {
150       CeedVector          vec_i;
151       CeedElemRestriction rstr_i;
152 
153       CeedCallBackend(CeedOperatorFieldGetVector(op_fields[i], &vec_i));
154       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[i], &rstr_i));
155       for (CeedInt j = i + 1; j < num_fields; j++) {
156         CeedVector          vec_j;
157         CeedElemRestriction rstr_j;
158 
159         CeedCallBackend(CeedOperatorFieldGetVector(op_fields[j], &vec_j));
160         CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[j], &rstr_j));
161         if (vec_i == vec_j && rstr_i == rstr_j) {
162           CeedCallBackend(CeedVectorReferenceCopy(e_vecs[i], &e_vecs[j]));
163           CeedCallBackend(CeedVectorReferenceCopy(e_vecs_full[i + start_e], &e_vecs_full[j + start_e]));
164           skip_rstr[j] = true;
165         }
166         CeedCallBackend(CeedVectorDestroy(&vec_j));
167         CeedCallBackend(CeedElemRestrictionDestroy(&rstr_j));
168       }
169       CeedCallBackend(CeedVectorDestroy(&vec_i));
170       CeedCallBackend(CeedElemRestrictionDestroy(&rstr_i));
171     }
172   } else {
173     for (CeedInt i = num_fields - 1; i >= 0; i--) {
174       CeedVector          vec_i;
175       CeedElemRestriction rstr_i;
176 
177       CeedCallBackend(CeedOperatorFieldGetVector(op_fields[i], &vec_i));
178       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[i], &rstr_i));
179       for (CeedInt j = i - 1; j >= 0; j--) {
180         CeedVector          vec_j;
181         CeedElemRestriction rstr_j;
182 
183         CeedCallBackend(CeedOperatorFieldGetVector(op_fields[j], &vec_j));
184         CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[j], &rstr_j));
185         if (vec_i == vec_j && rstr_i == rstr_j) {
186           CeedCallBackend(CeedVectorReferenceCopy(e_vecs[i], &e_vecs[j]));
187           CeedCallBackend(CeedVectorReferenceCopy(e_vecs_full[i + start_e], &e_vecs_full[j + start_e]));
188           skip_rstr[j]       = true;
189           apply_add_basis[i] = true;
190         }
191         CeedCallBackend(CeedVectorDestroy(&vec_j));
192         CeedCallBackend(CeedElemRestrictionDestroy(&rstr_j));
193       }
194       CeedCallBackend(CeedVectorDestroy(&vec_i));
195       CeedCallBackend(CeedElemRestrictionDestroy(&rstr_i));
196     }
197   }
198   CeedCallBackend(CeedDestroy(&ceed));
199   return CEED_ERROR_SUCCESS;
200 }
201 
202 //------------------------------------------------------------------------------
203 // Setup Operator
204 //------------------------------------------------------------------------------
205 static int CeedOperatorSetup_Opt(CeedOperator op) {
206   bool                is_setup_done;
207   Ceed                ceed;
208   Ceed_Opt           *ceed_impl;
209   CeedInt             Q, num_input_fields, num_output_fields;
210   CeedQFunctionField *qf_input_fields, *qf_output_fields;
211   CeedQFunction       qf;
212   CeedOperatorField  *op_input_fields, *op_output_fields;
213   CeedOperator_Opt   *impl;
214 
215   CeedCallBackend(CeedOperatorIsSetupDone(op, &is_setup_done));
216   if (is_setup_done) return CEED_ERROR_SUCCESS;
217 
218   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
219   CeedCallBackend(CeedGetData(ceed, &ceed_impl));
220   CeedCallBackend(CeedDestroy(&ceed));
221   CeedCallBackend(CeedOperatorGetData(op, &impl));
222   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
223   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
224   CeedCallBackend(CeedQFunctionIsIdentity(qf, &impl->is_identity_qf));
225   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
226   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
227   const CeedInt block_size = ceed_impl->block_size;
228 
229   // Allocate
230   CeedCallBackend(CeedCalloc(num_input_fields + num_output_fields, &impl->block_rstr));
231   CeedCallBackend(CeedCalloc(num_input_fields + num_output_fields, &impl->e_vecs_full));
232 
233   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->skip_rstr_in));
234   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->skip_rstr_out));
235   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->apply_add_basis_out));
236   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->input_states));
237   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_in));
238   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_out));
239   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_in));
240   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_out));
241 
242   impl->num_inputs  = num_input_fields;
243   impl->num_outputs = num_output_fields;
244 
245   // Set up infield and outfield pointer arrays
246   // Infields
247   CeedCallBackend(CeedOperatorSetupFields_Opt(qf, op, true, impl->skip_rstr_in, NULL, block_size, impl->block_rstr, impl->e_vecs_full,
248                                               impl->e_vecs_in, impl->q_vecs_in, 0, num_input_fields, Q));
249   // Outfields
250   CeedCallBackend(CeedOperatorSetupFields_Opt(qf, op, false, impl->skip_rstr_out, impl->apply_add_basis_out, block_size, impl->block_rstr,
251                                               impl->e_vecs_full, impl->e_vecs_out, impl->q_vecs_out, num_input_fields, num_output_fields, Q));
252 
253   // Identity QFunctions
254   if (impl->is_identity_qf) {
255     CeedEvalMode        in_mode, out_mode;
256     CeedQFunctionField *in_fields, *out_fields;
257 
258     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &in_fields, NULL, &out_fields));
259     CeedCallBackend(CeedQFunctionFieldGetEvalMode(in_fields[0], &in_mode));
260     CeedCallBackend(CeedQFunctionFieldGetEvalMode(out_fields[0], &out_mode));
261 
262     if (in_mode == CEED_EVAL_NONE && out_mode == CEED_EVAL_NONE) {
263       impl->is_identity_rstr_op = true;
264     } else {
265       CeedCallBackend(CeedVectorReferenceCopy(impl->q_vecs_in[0], &impl->q_vecs_out[0]));
266     }
267   }
268 
269   CeedCallBackend(CeedOperatorSetSetupDone(op));
270   return CEED_ERROR_SUCCESS;
271 }
272 
273 //------------------------------------------------------------------------------
274 // Setup Input Fields
275 //------------------------------------------------------------------------------
276 static inline int CeedOperatorSetupInputs_Opt(CeedInt num_input_fields, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
277                                               CeedVector in_vec, CeedScalar *e_data[2 * CEED_FIELD_MAX], CeedOperator_Opt *impl,
278                                               CeedRequest *request) {
279   for (CeedInt i = 0; i < num_input_fields; i++) {
280     CeedEvalMode eval_mode;
281 
282     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
283     if (eval_mode == CEED_EVAL_WEIGHT) {  // Skip
284     } else {
285       uint64_t   state;
286       CeedVector vec;
287 
288       // Get input vector
289       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
290       if (vec != CEED_VECTOR_ACTIVE) {
291         // Restrict
292         CeedCallBackend(CeedVectorGetState(vec, &state));
293         if (state != impl->input_states[i] && impl->block_rstr[i] && !impl->skip_rstr_in[i]) {
294           CeedCallBackend(CeedElemRestrictionApply(impl->block_rstr[i], CEED_NOTRANSPOSE, vec, impl->e_vecs_full[i], request));
295         }
296         impl->input_states[i] = state;
297         // Get evec
298         CeedCallBackend(CeedVectorGetArrayRead(impl->e_vecs_full[i], CEED_MEM_HOST, (const CeedScalar **)&e_data[i]));
299       } else {
300         // Set Qvec for CEED_EVAL_NONE
301         if (eval_mode == CEED_EVAL_NONE) {
302           CeedCallBackend(CeedVectorGetArrayRead(impl->e_vecs_in[i], CEED_MEM_HOST, (const CeedScalar **)&e_data[i]));
303           CeedCallBackend(CeedVectorSetArray(impl->q_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, e_data[i]));
304           CeedCallBackend(CeedVectorRestoreArrayRead(impl->e_vecs_in[i], (const CeedScalar **)&e_data[i]));
305         }
306       }
307       CeedCallBackend(CeedVectorDestroy(&vec));
308     }
309   }
310   return CEED_ERROR_SUCCESS;
311 }
312 
313 //------------------------------------------------------------------------------
314 // Input Basis Action
315 //------------------------------------------------------------------------------
316 static inline int CeedOperatorInputBasis_Opt(CeedInt e, CeedInt Q, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
317                                              CeedInt num_input_fields, CeedInt block_size, CeedVector in_vec, bool skip_active,
318                                              CeedScalar *e_data[2 * CEED_FIELD_MAX], CeedOperator_Opt *impl, CeedRequest *request) {
319   for (CeedInt i = 0; i < num_input_fields; i++) {
320     bool                is_active;
321     CeedInt             elem_size, size, num_comp;
322     CeedEvalMode        eval_mode;
323     CeedVector          vec;
324     CeedElemRestriction elem_rstr;
325     CeedBasis           basis;
326 
327     // Skip active input
328     CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
329     is_active = vec == CEED_VECTOR_ACTIVE;
330     CeedCallBackend(CeedVectorDestroy(&vec));
331     if (skip_active && is_active) continue;
332 
333     // Get elem_size, eval_mode, size
334     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_input_fields[i], &elem_rstr));
335     CeedCallBackend(CeedElemRestrictionGetElementSize(elem_rstr, &elem_size));
336     CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
337     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
338     CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &size));
339     // Restrict block active input
340     if (is_active && impl->block_rstr[i]) {
341       CeedCallBackend(CeedElemRestrictionApplyBlock(impl->block_rstr[i], e / block_size, CEED_NOTRANSPOSE, in_vec, impl->e_vecs_in[i], request));
342     }
343     // Basis action
344     switch (eval_mode) {
345       case CEED_EVAL_NONE:
346         if (!is_active) {
347           CeedCallBackend(CeedVectorSetArray(impl->q_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data[i][(CeedSize)e * Q * size]));
348         }
349         break;
350       case CEED_EVAL_INTERP:
351       case CEED_EVAL_GRAD:
352       case CEED_EVAL_DIV:
353       case CEED_EVAL_CURL:
354         CeedCallBackend(CeedOperatorFieldGetBasis(op_input_fields[i], &basis));
355         if (!is_active) {
356           CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
357           CeedCallBackend(CeedVectorSetArray(impl->e_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data[i][(CeedSize)e * elem_size * num_comp]));
358         }
359         CeedCallBackend(CeedBasisApply(basis, block_size, CEED_NOTRANSPOSE, eval_mode, impl->e_vecs_in[i], impl->q_vecs_in[i]));
360         CeedCallBackend(CeedBasisDestroy(&basis));
361         break;
362       case CEED_EVAL_WEIGHT:
363         break;  // No action
364     }
365   }
366   return CEED_ERROR_SUCCESS;
367 }
368 
369 //------------------------------------------------------------------------------
370 // Output Basis Action
371 //------------------------------------------------------------------------------
372 static inline int CeedOperatorOutputBasis_Opt(CeedInt e, CeedInt Q, CeedQFunctionField *qf_output_fields, CeedOperatorField *op_output_fields,
373                                               CeedInt block_size, CeedInt num_input_fields, CeedInt num_output_fields, bool *apply_add_basis,
374                                               bool *skip_rstr, CeedOperator op, CeedVector out_vec, CeedOperator_Opt *impl, CeedRequest *request) {
375   for (CeedInt i = 0; i < num_output_fields; i++) {
376     bool         is_active;
377     CeedEvalMode eval_mode;
378     CeedVector   vec;
379     CeedBasis    basis;
380 
381     // Get eval_mode
382     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
383     // Basis action
384     switch (eval_mode) {
385       case CEED_EVAL_NONE:
386         break;  // No action
387       case CEED_EVAL_INTERP:
388       case CEED_EVAL_GRAD:
389       case CEED_EVAL_DIV:
390       case CEED_EVAL_CURL:
391         CeedCallBackend(CeedOperatorFieldGetBasis(op_output_fields[i], &basis));
392         if (apply_add_basis[i]) {
393           CeedCallBackend(CeedBasisApplyAdd(basis, block_size, CEED_TRANSPOSE, eval_mode, impl->q_vecs_out[i], impl->e_vecs_out[i]));
394         } else {
395           CeedCallBackend(CeedBasisApply(basis, block_size, CEED_TRANSPOSE, eval_mode, impl->q_vecs_out[i], impl->e_vecs_out[i]));
396         }
397         CeedCallBackend(CeedBasisDestroy(&basis));
398         break;
399       // LCOV_EXCL_START
400       case CEED_EVAL_WEIGHT: {
401         return CeedError(CeedOperatorReturnCeed(op), CEED_ERROR_BACKEND, "CEED_EVAL_WEIGHT cannot be an output evaluation mode");
402         // LCOV_EXCL_STOP
403       }
404     }
405     // Restrict output block
406     if (skip_rstr[i]) continue;
407     // Get output vector
408     CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
409     is_active = vec == CEED_VECTOR_ACTIVE;
410     if (is_active) vec = out_vec;
411     // Restrict
412     CeedCallBackend(
413         CeedElemRestrictionApplyBlock(impl->block_rstr[i + impl->num_inputs], e / block_size, CEED_TRANSPOSE, impl->e_vecs_out[i], vec, request));
414     if (!is_active) CeedCallBackend(CeedVectorDestroy(&vec));
415   }
416   return CEED_ERROR_SUCCESS;
417 }
418 
419 //------------------------------------------------------------------------------
420 // Restore Input Vectors
421 //------------------------------------------------------------------------------
422 static inline int CeedOperatorRestoreInputs_Opt(CeedInt num_input_fields, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
423                                                 CeedScalar *e_data[2 * CEED_FIELD_MAX], CeedOperator_Opt *impl) {
424   for (CeedInt i = 0; i < num_input_fields; i++) {
425     CeedEvalMode eval_mode;
426     CeedVector   vec;
427 
428     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
429     CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
430     if (eval_mode != CEED_EVAL_WEIGHT && vec != CEED_VECTOR_ACTIVE) {
431       CeedCallBackend(CeedVectorRestoreArrayRead(impl->e_vecs_full[i], (const CeedScalar **)&e_data[i]));
432     }
433     CeedCallBackend(CeedVectorDestroy(&vec));
434   }
435   return CEED_ERROR_SUCCESS;
436 }
437 
438 //------------------------------------------------------------------------------
439 // Operator Apply
440 //------------------------------------------------------------------------------
441 static int CeedOperatorApplyAdd_Opt(CeedOperator op, CeedVector in_vec, CeedVector out_vec, CeedRequest *request) {
442   Ceed                ceed;
443   Ceed_Opt           *ceed_impl;
444   CeedInt             Q, num_input_fields, num_output_fields, num_elem;
445   CeedEvalMode        eval_mode;
446   CeedScalar         *e_data[2 * CEED_FIELD_MAX] = {0};
447   CeedQFunctionField *qf_input_fields, *qf_output_fields;
448   CeedQFunction       qf;
449   CeedOperatorField  *op_input_fields, *op_output_fields;
450   CeedOperator_Opt   *impl;
451 
452   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
453   CeedCallBackend(CeedGetData(ceed, &ceed_impl));
454   CeedCallBackend(CeedDestroy(&ceed));
455   CeedCallBackend(CeedOperatorGetData(op, &impl));
456   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
457   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
458   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
459   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
460   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
461   const CeedInt block_size = ceed_impl->block_size;
462   const CeedInt num_blocks = (num_elem / block_size) + !!(num_elem % block_size);
463 
464   // Setup
465   CeedCallBackend(CeedOperatorSetup_Opt(op));
466 
467   // Restriction only operator
468   if (impl->is_identity_rstr_op) {
469     for (CeedInt b = 0; b < num_blocks; b++) {
470       CeedCallBackend(CeedElemRestrictionApplyBlock(impl->block_rstr[0], b, CEED_NOTRANSPOSE, in_vec, impl->e_vecs_in[0], request));
471       CeedCallBackend(CeedElemRestrictionApplyBlock(impl->block_rstr[1], b, CEED_TRANSPOSE, impl->e_vecs_in[0], out_vec, request));
472     }
473     return CEED_ERROR_SUCCESS;
474   }
475 
476   // Input Evecs and Restriction
477   CeedCallBackend(CeedOperatorSetupInputs_Opt(num_input_fields, qf_input_fields, op_input_fields, in_vec, e_data, impl, request));
478 
479   // Output Lvecs, Evecs, and Qvecs
480   for (CeedInt i = 0; i < num_output_fields; i++) {
481     // Set Qvec if needed
482     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
483     if (eval_mode == CEED_EVAL_NONE) {
484       // Set qvec to single block evec
485       CeedCallBackend(CeedVectorGetArrayWrite(impl->e_vecs_out[i], CEED_MEM_HOST, &e_data[i + num_input_fields]));
486       CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[i], CEED_MEM_HOST, CEED_USE_POINTER, e_data[i + num_input_fields]));
487       CeedCallBackend(CeedVectorRestoreArray(impl->e_vecs_out[i], &e_data[i + num_input_fields]));
488     }
489   }
490 
491   // Loop through elements
492   for (CeedInt e = 0; e < num_blocks * block_size; e += block_size) {
493     // Input basis apply
494     CeedCallBackend(
495         CeedOperatorInputBasis_Opt(e, Q, qf_input_fields, op_input_fields, num_input_fields, block_size, in_vec, false, e_data, impl, request));
496 
497     // Q function
498     if (!impl->is_identity_qf) {
499       CeedCallBackend(CeedQFunctionApply(qf, Q * block_size, impl->q_vecs_in, impl->q_vecs_out));
500     }
501 
502     // Output basis apply and restriction
503     CeedCallBackend(CeedOperatorOutputBasis_Opt(e, Q, qf_output_fields, op_output_fields, block_size, num_input_fields, num_output_fields,
504                                                 impl->apply_add_basis_out, impl->skip_rstr_out, op, out_vec, impl, request));
505   }
506 
507   // Restore input arrays
508   CeedCallBackend(CeedOperatorRestoreInputs_Opt(num_input_fields, qf_input_fields, op_input_fields, e_data, impl));
509   return CEED_ERROR_SUCCESS;
510 }
511 
512 //------------------------------------------------------------------------------
513 // Core code for linear QFunction assembly
514 //------------------------------------------------------------------------------
515 static inline int CeedOperatorLinearAssembleQFunctionCore_Opt(CeedOperator op, bool build_objects, CeedVector *assembled, CeedElemRestriction *rstr,
516                                                               CeedRequest *request) {
517   Ceed                ceed;
518   Ceed_Opt           *ceed_impl;
519   CeedInt             qf_size_in, qf_size_out, Q, num_input_fields, num_output_fields, num_elem;
520   CeedScalar         *l_vec_array, *e_data[2 * CEED_FIELD_MAX] = {0};
521   CeedQFunctionField *qf_input_fields, *qf_output_fields;
522   CeedQFunction       qf;
523   CeedOperatorField  *op_input_fields, *op_output_fields;
524   CeedOperator_Opt   *impl;
525 
526   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
527   CeedCallBackend(CeedGetData(ceed, &ceed_impl));
528   CeedCallBackend(CeedOperatorGetData(op, &impl));
529   qf_size_in  = impl->qf_size_in;
530   qf_size_out = impl->qf_size_out;
531 
532   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
533   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
534   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
535   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
536   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
537   const CeedInt       block_size = ceed_impl->block_size;
538   const CeedInt       num_blocks = (num_elem / block_size) + !!(num_elem % block_size);
539   CeedVector          l_vec      = impl->qf_l_vec;
540   CeedElemRestriction block_rstr = impl->qf_block_rstr;
541 
542   // Setup
543   CeedCallBackend(CeedOperatorSetup_Opt(op));
544 
545   // Check for restriction only operator
546   CeedCheck(!impl->is_identity_rstr_op, ceed, CEED_ERROR_BACKEND, "Assembling restriction only operators is not supported");
547 
548   // Input Evecs and Restriction
549   CeedCallBackend(CeedOperatorSetupInputs_Opt(num_input_fields, qf_input_fields, op_input_fields, NULL, e_data, impl, request));
550 
551   // Count number of active input fields
552   if (qf_size_in == 0) {
553     for (CeedInt i = 0; i < num_input_fields; i++) {
554       CeedInt    field_size;
555       CeedVector vec;
556 
557       // Check if active input
558       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
559       if (vec == CEED_VECTOR_ACTIVE) {
560         CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &field_size));
561         CeedCallBackend(CeedVectorSetValue(impl->q_vecs_in[i], 0.0));
562         qf_size_in += field_size;
563       }
564       CeedCallBackend(CeedVectorDestroy(&vec));
565     }
566     CeedCheck(qf_size_in > 0, ceed, CEED_ERROR_BACKEND, "Cannot assemble QFunction without active inputs and outputs");
567     impl->qf_size_in = qf_size_in;
568   }
569 
570   // Count number of active output fields
571   if (qf_size_out == 0) {
572     for (CeedInt i = 0; i < num_output_fields; i++) {
573       CeedInt    field_size;
574       CeedVector vec;
575 
576       // Check if active output
577       CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
578       if (vec == CEED_VECTOR_ACTIVE) {
579         CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[i], &field_size));
580         qf_size_out += field_size;
581       }
582       CeedCallBackend(CeedVectorDestroy(&vec));
583     }
584     CeedCheck(qf_size_out > 0, ceed, CEED_ERROR_BACKEND, "Cannot assemble QFunction without active inputs and outputs");
585     impl->qf_size_out = qf_size_out;
586   }
587 
588   // Setup l_vec
589   if (!l_vec) {
590     const CeedSize l_size = (CeedSize)block_size * Q * qf_size_in * qf_size_out;
591 
592     CeedCallBackend(CeedVectorCreate(ceed, l_size, &l_vec));
593     CeedCallBackend(CeedVectorSetValue(l_vec, 0.0));
594     impl->qf_l_vec = l_vec;
595   }
596 
597   // Output blocked restriction
598   if (!block_rstr) {
599     CeedInt strides[3] = {1, Q, qf_size_in * qf_size_out * Q};
600 
601     CeedCallBackend(CeedElemRestrictionCreateBlockedStrided(ceed, num_elem, Q, block_size, qf_size_in * qf_size_out,
602                                                             qf_size_in * qf_size_out * num_elem * Q, strides, &block_rstr));
603     impl->qf_block_rstr = block_rstr;
604   }
605 
606   // Build objects if needed
607   if (build_objects) {
608     const CeedSize l_size     = (CeedSize)num_elem * Q * qf_size_in * qf_size_out;
609     CeedInt        strides[3] = {1, Q, qf_size_in * qf_size_out * Q};
610 
611     // Create output restriction
612     CeedCallBackend(CeedElemRestrictionCreateStrided(ceed, num_elem, Q, qf_size_in * qf_size_out,
613                                                      (CeedSize)qf_size_in * (CeedSize)qf_size_out * (CeedSize)num_elem * (CeedSize)Q, strides, rstr));
614     // Create assembled vector
615     CeedCallBackend(CeedVectorCreate(ceed, l_size, assembled));
616   }
617 
618   // Loop through elements
619   CeedCallBackend(CeedVectorSetValue(*assembled, 0.0));
620   for (CeedInt e = 0; e < num_blocks * block_size; e += block_size) {
621     CeedCallBackend(CeedVectorGetArray(l_vec, CEED_MEM_HOST, &l_vec_array));
622 
623     // Input basis apply
624     CeedCallBackend(
625         CeedOperatorInputBasis_Opt(e, Q, qf_input_fields, op_input_fields, num_input_fields, block_size, NULL, true, e_data, impl, request));
626 
627     // Assemble QFunction
628     for (CeedInt i = 0; i < num_input_fields; i++) {
629       bool       is_active;
630       CeedInt    field_size;
631       CeedVector vec;
632 
633       // Check if active input
634       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
635       is_active = vec == CEED_VECTOR_ACTIVE;
636       CeedCallBackend(CeedVectorDestroy(&vec));
637       if (!is_active) continue;
638       CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &field_size));
639       for (CeedInt field = 0; field < field_size; field++) {
640         // Set current portion of input to 1.0
641         {
642           CeedScalar *array;
643 
644           CeedCallBackend(CeedVectorGetArray(impl->q_vecs_in[i], CEED_MEM_HOST, &array));
645           for (CeedInt j = 0; j < Q * block_size; j++) array[field * Q * block_size + j] = 1.0;
646           CeedCallBackend(CeedVectorRestoreArray(impl->q_vecs_in[i], &array));
647         }
648 
649         if (!impl->is_identity_qf) {
650           // Set Outputs
651           for (CeedInt out = 0; out < num_output_fields; out++) {
652             CeedVector vec;
653 
654             // Check if active output
655             CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
656             if (vec == CEED_VECTOR_ACTIVE) {
657               CeedInt field_size;
658 
659               CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[out], CEED_MEM_HOST, CEED_USE_POINTER, l_vec_array));
660               CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[out], &field_size));
661               l_vec_array += field_size * Q * block_size;  // Advance the pointer by the size of the output
662             }
663             CeedCallBackend(CeedVectorDestroy(&vec));
664           }
665           // Apply QFunction
666           CeedCallBackend(CeedQFunctionApply(qf, Q * block_size, impl->q_vecs_in, impl->q_vecs_out));
667         } else {
668           CeedInt           field_size;
669           const CeedScalar *array;
670 
671           // Copy Identity Outputs
672           CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[0], &field_size));
673           CeedCallBackend(CeedVectorGetArrayRead(impl->q_vecs_out[0], CEED_MEM_HOST, &array));
674           for (CeedInt j = 0; j < field_size * Q * block_size; j++) l_vec_array[j] = array[j];
675           CeedCallBackend(CeedVectorRestoreArrayRead(impl->q_vecs_out[0], &array));
676           l_vec_array += field_size * Q * block_size;
677         }
678         // Reset input to 0.0
679         {
680           CeedScalar *array;
681 
682           CeedCallBackend(CeedVectorGetArray(impl->q_vecs_in[i], CEED_MEM_HOST, &array));
683           for (CeedInt j = 0; j < Q * block_size; j++) array[field * Q * block_size + j] = 0.0;
684           CeedCallBackend(CeedVectorRestoreArray(impl->q_vecs_in[i], &array));
685         }
686       }
687     }
688 
689     // Un-set output Qvecs to prevent accidental overwrite of Assembled
690     if (!impl->is_identity_qf) {
691       for (CeedInt out = 0; out < num_output_fields; out++) {
692         CeedVector vec;
693 
694         // Check if active output
695         CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
696         if (vec == CEED_VECTOR_ACTIVE && num_elem > 0) {
697           CeedCallBackend(CeedVectorTakeArray(impl->q_vecs_out[out], CEED_MEM_HOST, NULL));
698         }
699         CeedCallBackend(CeedVectorDestroy(&vec));
700       }
701     }
702 
703     // Assemble into assembled vector
704     CeedCallBackend(CeedVectorRestoreArray(l_vec, &l_vec_array));
705     CeedCallBackend(CeedElemRestrictionApplyBlock(block_rstr, e / block_size, CEED_TRANSPOSE, l_vec, *assembled, request));
706   }
707 
708   // Reset output Qvecs
709   for (CeedInt out = 0; out < num_output_fields; out++) {
710     CeedVector vec;
711 
712     // Initialize array if active output
713     CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
714     if (vec == CEED_VECTOR_ACTIVE) CeedCallBackend(CeedVectorSetValue(impl->q_vecs_out[out], 0.0));
715     CeedCallBackend(CeedVectorDestroy(&vec));
716   }
717 
718   // Restore input arrays
719   CeedCallBackend(CeedOperatorRestoreInputs_Opt(num_input_fields, qf_input_fields, op_input_fields, e_data, impl));
720   CeedCallBackend(CeedDestroy(&ceed));
721   return CEED_ERROR_SUCCESS;
722 }
723 
724 //------------------------------------------------------------------------------
725 // Assemble Linear QFunction
726 //------------------------------------------------------------------------------
727 static int CeedOperatorLinearAssembleQFunction_Opt(CeedOperator op, CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request) {
728   return CeedOperatorLinearAssembleQFunctionCore_Opt(op, true, assembled, rstr, request);
729 }
730 
731 //------------------------------------------------------------------------------
732 // Update Assembled Linear QFunction
733 //------------------------------------------------------------------------------
734 static int CeedOperatorLinearAssembleQFunctionUpdate_Opt(CeedOperator op, CeedVector assembled, CeedElemRestriction rstr, CeedRequest *request) {
735   return CeedOperatorLinearAssembleQFunctionCore_Opt(op, false, &assembled, &rstr, request);
736 }
737 
738 //------------------------------------------------------------------------------
739 // Operator Destroy
740 //------------------------------------------------------------------------------
741 static int CeedOperatorDestroy_Opt(CeedOperator op) {
742   CeedOperator_Opt *impl;
743 
744   CeedCallBackend(CeedOperatorGetData(op, &impl));
745   for (CeedInt i = 0; i < impl->num_inputs + impl->num_outputs; i++) {
746     CeedCallBackend(CeedElemRestrictionDestroy(&impl->block_rstr[i]));
747     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_full[i]));
748   }
749   CeedCallBackend(CeedFree(&impl->block_rstr));
750   CeedCallBackend(CeedFree(&impl->e_vecs_full));
751   CeedCallBackend(CeedFree(&impl->input_states));
752   CeedCallBackend(CeedFree(&impl->skip_rstr_in));
753   CeedCallBackend(CeedFree(&impl->skip_rstr_out));
754   CeedCallBackend(CeedFree(&impl->apply_add_basis_out));
755 
756   for (CeedInt i = 0; i < impl->num_inputs; i++) {
757     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_in[i]));
758     CeedCallBackend(CeedVectorDestroy(&impl->q_vecs_in[i]));
759   }
760   CeedCallBackend(CeedFree(&impl->e_vecs_in));
761   CeedCallBackend(CeedFree(&impl->q_vecs_in));
762 
763   for (CeedInt i = 0; i < impl->num_outputs; i++) {
764     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_out[i]));
765     CeedCallBackend(CeedVectorDestroy(&impl->q_vecs_out[i]));
766   }
767   CeedCallBackend(CeedFree(&impl->e_vecs_out));
768   CeedCallBackend(CeedFree(&impl->q_vecs_out));
769 
770   // QFunction assembly data
771   CeedCallBackend(CeedVectorDestroy(&impl->qf_l_vec));
772   CeedCallBackend(CeedElemRestrictionDestroy(&impl->qf_block_rstr));
773 
774   CeedCallBackend(CeedFree(&impl));
775   return CEED_ERROR_SUCCESS;
776 }
777 
778 //------------------------------------------------------------------------------
779 // Operator Create
780 //------------------------------------------------------------------------------
781 int CeedOperatorCreate_Opt(CeedOperator op) {
782   Ceed              ceed;
783   Ceed_Opt         *ceed_impl;
784   CeedOperator_Opt *impl;
785 
786   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
787   CeedCallBackend(CeedGetData(ceed, &ceed_impl));
788   const CeedInt block_size = ceed_impl->block_size;
789 
790   CeedCallBackend(CeedCalloc(1, &impl));
791   CeedCallBackend(CeedOperatorSetData(op, impl));
792 
793   CeedCheck(block_size == 1 || block_size == 8, ceed, CEED_ERROR_BACKEND, "Opt backend cannot use blocksize: %" CeedInt_FMT, block_size);
794 
795   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunction", CeedOperatorLinearAssembleQFunction_Opt));
796   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunctionUpdate", CeedOperatorLinearAssembleQFunctionUpdate_Opt));
797   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "ApplyAdd", CeedOperatorApplyAdd_Opt));
798   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "Destroy", CeedOperatorDestroy_Opt));
799   CeedCallBackend(CeedDestroy(&ceed));
800   return CEED_ERROR_SUCCESS;
801 }
802 
803 //------------------------------------------------------------------------------
804