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