xref: /libCEED/backends/blocked/ceed-blocked-operator.c (revision 0930e4e786557ee92f6edf1a51db869c03c3f660)
1 // Copyright (c) 2017-2022, 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, CeedElemRestriction *block_rstr, CeedVector *e_vecs_full,
20                                            CeedVector *e_vecs, CeedVector *q_vecs, CeedInt start_e, CeedInt num_fields, CeedInt Q) {
21   Ceed                ceed;
22   CeedSize            e_size, q_size;
23   CeedInt             num_comp, size, P;
24   const CeedInt       block_size = 8;
25   CeedQFunctionField *qf_fields;
26   CeedOperatorField  *op_fields;
27 
28   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
29 
30   if (is_input) {
31     CeedCallBackend(CeedOperatorGetFields(op, NULL, &op_fields, NULL, NULL));
32     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_fields, NULL, NULL));
33   } else {
34     CeedCallBackend(CeedOperatorGetFields(op, NULL, NULL, NULL, &op_fields));
35     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, NULL, NULL, &qf_fields));
36   }
37 
38   // Loop over fields
39   for (CeedInt i = 0; i < num_fields; i++) {
40     CeedEvalMode eval_mode;
41     CeedBasis    basis;
42 
43     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_fields[i], &eval_mode));
44 
45     if (eval_mode != CEED_EVAL_WEIGHT) {
46       Ceed                ceed_rstr;
47       CeedSize            l_size;
48       CeedInt             num_elem, elem_size, comp_stride;
49       CeedRestrictionType rstr_type;
50       CeedElemRestriction rstr;
51 
52       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[i], &rstr));
53       CeedCallBackend(CeedElemRestrictionGetCeed(rstr, &ceed_rstr));
54       CeedCallBackend(CeedElemRestrictionGetNumElements(rstr, &num_elem));
55       CeedCallBackend(CeedElemRestrictionGetElementSize(rstr, &elem_size));
56       CeedCallBackend(CeedElemRestrictionGetLVectorSize(rstr, &l_size));
57       CeedCallBackend(CeedElemRestrictionGetNumComponents(rstr, &num_comp));
58       CeedCallBackend(CeedElemRestrictionGetCompStride(rstr, &comp_stride));
59 
60       CeedCallBackend(CeedElemRestrictionGetType(rstr, &rstr_type));
61       switch (rstr_type) {
62         case CEED_RESTRICTION_STANDARD: {
63           const CeedInt *offsets = NULL;
64 
65           CeedCallBackend(CeedElemRestrictionGetOffsets(rstr, CEED_MEM_HOST, &offsets));
66           CeedCallBackend(CeedElemRestrictionCreateBlocked(ceed_rstr, num_elem, elem_size, block_size, num_comp, comp_stride, l_size, CEED_MEM_HOST,
67                                                            CEED_COPY_VALUES, offsets, &block_rstr[i + start_e]));
68           CeedCallBackend(CeedElemRestrictionRestoreOffsets(rstr, &offsets));
69         } break;
70         case CEED_RESTRICTION_ORIENTED: {
71           const bool    *orients = NULL;
72           const CeedInt *offsets = NULL;
73 
74           CeedCallBackend(CeedElemRestrictionGetOffsets(rstr, CEED_MEM_HOST, &offsets));
75           CeedCallBackend(CeedElemRestrictionGetOrientations(rstr, CEED_MEM_HOST, &orients));
76           CeedCallBackend(CeedElemRestrictionCreateBlockedOriented(ceed_rstr, num_elem, elem_size, block_size, num_comp, comp_stride, l_size,
77                                                                    CEED_MEM_HOST, CEED_COPY_VALUES, offsets, orients, &block_rstr[i + start_e]));
78           CeedCallBackend(CeedElemRestrictionRestoreOffsets(rstr, &offsets));
79           CeedCallBackend(CeedElemRestrictionRestoreOrientations(rstr, &orients));
80         } break;
81         case CEED_RESTRICTION_CURL_ORIENTED: {
82           const CeedInt8 *curl_orients = NULL;
83           const CeedInt  *offsets      = NULL;
84 
85           CeedCallBackend(CeedElemRestrictionGetOffsets(rstr, CEED_MEM_HOST, &offsets));
86           CeedCallBackend(CeedElemRestrictionGetCurlOrientations(rstr, CEED_MEM_HOST, &curl_orients));
87           CeedCallBackend(CeedElemRestrictionCreateBlockedCurlOriented(ceed_rstr, num_elem, elem_size, block_size, num_comp, comp_stride, l_size,
88                                                                        CEED_MEM_HOST, CEED_COPY_VALUES, offsets, curl_orients,
89                                                                        &block_rstr[i + start_e]));
90           CeedCallBackend(CeedElemRestrictionRestoreOffsets(rstr, &offsets));
91           CeedCallBackend(CeedElemRestrictionRestoreCurlOrientations(rstr, &curl_orients));
92         } break;
93         case CEED_RESTRICTION_STRIDED: {
94           CeedInt strides[3];
95 
96           CeedCallBackend(CeedElemRestrictionGetStrides(rstr, &strides));
97           CeedCallBackend(CeedElemRestrictionCreateBlockedStrided(ceed_rstr, num_elem, elem_size, block_size, num_comp, l_size, strides,
98                                                                   &block_rstr[i + start_e]));
99         } break;
100         case CEED_RESTRICTION_POINTS:
101           // Empty case - won't occur
102           break;
103       }
104       CeedCallBackend(CeedElemRestrictionCreateVector(block_rstr[i + start_e], NULL, &e_vecs_full[i + start_e]));
105     }
106 
107     switch (eval_mode) {
108       case CEED_EVAL_NONE:
109         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
110         q_size = (CeedSize)Q * size * block_size;
111         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
112         break;
113       case CEED_EVAL_INTERP:
114       case CEED_EVAL_GRAD:
115       case CEED_EVAL_DIV:
116       case CEED_EVAL_CURL:
117         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
118         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
119         CeedCallBackend(CeedBasisGetNumNodes(basis, &P));
120         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
121         e_size = (CeedSize)P * num_comp * block_size;
122         CeedCallBackend(CeedVectorCreate(ceed, e_size, &e_vecs[i]));
123         q_size = (CeedSize)Q * size * block_size;
124         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
125         break;
126       case CEED_EVAL_WEIGHT:  // Only on input fields
127         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
128         q_size = (CeedSize)Q * block_size;
129         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
130         CeedCallBackend(CeedBasisApply(basis, block_size, CEED_NOTRANSPOSE, CEED_EVAL_WEIGHT, CEED_VECTOR_NONE, q_vecs[i]));
131         break;
132     }
133   }
134   return CEED_ERROR_SUCCESS;
135 }
136 
137 //------------------------------------------------------------------------------
138 // Setup Operator
139 //------------------------------------------------------------------------------
140 static int CeedOperatorSetup_Blocked(CeedOperator op) {
141   bool                  is_setup_done;
142   Ceed                  ceed;
143   CeedInt               Q, num_input_fields, num_output_fields;
144   CeedQFunctionField   *qf_input_fields, *qf_output_fields;
145   CeedQFunction         qf;
146   CeedOperatorField    *op_input_fields, *op_output_fields;
147   CeedOperator_Blocked *impl;
148 
149   CeedCallBackend(CeedOperatorIsSetupDone(op, &is_setup_done));
150   if (is_setup_done) return CEED_ERROR_SUCCESS;
151 
152   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
153   CeedCallBackend(CeedOperatorGetData(op, &impl));
154   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
155   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
156   CeedCallBackend(CeedQFunctionIsIdentity(qf, &impl->is_identity_qf));
157   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
158   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
159 
160   // Allocate
161   CeedCallBackend(CeedCalloc(num_input_fields + num_output_fields, &impl->block_rstr));
162   CeedCallBackend(CeedCalloc(num_input_fields + num_output_fields, &impl->e_vecs_full));
163 
164   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->input_states));
165   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_in));
166   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_out));
167   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_in));
168   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_out));
169 
170   impl->num_inputs  = num_input_fields;
171   impl->num_outputs = num_output_fields;
172 
173   // Set up infield and outfield pointer arrays
174   // Infields
175   CeedCallBackend(
176       CeedOperatorSetupFields_Blocked(qf, op, true, impl->block_rstr, impl->e_vecs_full, impl->e_vecs_in, impl->q_vecs_in, 0, num_input_fields, Q));
177   // Outfields
178   CeedCallBackend(CeedOperatorSetupFields_Blocked(qf, op, false, impl->block_rstr, impl->e_vecs_full, impl->e_vecs_out, impl->q_vecs_out,
179                                                   num_input_fields, num_output_fields, Q));
180 
181   // Identity QFunctions
182   if (impl->is_identity_qf) {
183     CeedEvalMode        in_mode, out_mode;
184     CeedQFunctionField *in_fields, *out_fields;
185 
186     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &in_fields, NULL, &out_fields));
187     CeedCallBackend(CeedQFunctionFieldGetEvalMode(in_fields[0], &in_mode));
188     CeedCallBackend(CeedQFunctionFieldGetEvalMode(out_fields[0], &out_mode));
189 
190     if (in_mode == CEED_EVAL_NONE && out_mode == CEED_EVAL_NONE) {
191       impl->is_identity_rstr_op = true;
192     } else {
193       CeedCallBackend(CeedVectorReferenceCopy(impl->q_vecs_in[0], &impl->q_vecs_out[0]));
194     }
195   }
196 
197   CeedCallBackend(CeedOperatorSetSetupDone(op));
198   return CEED_ERROR_SUCCESS;
199 }
200 
201 //------------------------------------------------------------------------------
202 // Setup Operator Inputs
203 //------------------------------------------------------------------------------
204 static inline int CeedOperatorSetupInputs_Blocked(CeedInt num_input_fields, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
205                                                   CeedVector in_vec, bool skip_active, CeedScalar *e_data_full[2 * CEED_FIELD_MAX],
206                                                   CeedOperator_Blocked *impl, CeedRequest *request) {
207   for (CeedInt i = 0; i < num_input_fields; i++) {
208     uint64_t     state;
209     CeedEvalMode eval_mode;
210     CeedVector   vec;
211 
212     // Get input vector
213     CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
214     if (vec == CEED_VECTOR_ACTIVE) {
215       if (skip_active) continue;
216       else vec = in_vec;
217     }
218 
219     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
220     if (eval_mode == CEED_EVAL_WEIGHT) {  // Skip
221     } else {
222       // Restrict
223       CeedCallBackend(CeedVectorGetState(vec, &state));
224       if (state != impl->input_states[i] || vec == in_vec) {
225         CeedCallBackend(CeedElemRestrictionApply(impl->block_rstr[i], CEED_NOTRANSPOSE, vec, impl->e_vecs_full[i], request));
226         impl->input_states[i] = state;
227       }
228       // Get evec
229       CeedCallBackend(CeedVectorGetArrayRead(impl->e_vecs_full[i], CEED_MEM_HOST, (const CeedScalar **)&e_data_full[i]));
230     }
231   }
232   return CEED_ERROR_SUCCESS;
233 }
234 
235 //------------------------------------------------------------------------------
236 // Input Basis Action
237 //------------------------------------------------------------------------------
238 static inline int CeedOperatorInputBasis_Blocked(CeedInt e, CeedInt Q, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
239                                                  CeedInt num_input_fields, CeedInt block_size, bool skip_active,
240                                                  CeedScalar *e_data_full[2 * CEED_FIELD_MAX], CeedOperator_Blocked *impl) {
241   for (CeedInt i = 0; i < num_input_fields; i++) {
242     CeedInt             elem_size, size, num_comp;
243     CeedEvalMode        eval_mode;
244     CeedElemRestriction elem_rstr;
245     CeedBasis           basis;
246 
247     // Skip active input
248     if (skip_active) {
249       CeedVector vec;
250 
251       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
252       if (vec == CEED_VECTOR_ACTIVE) continue;
253     }
254 
255     // Get elem_size, eval_mode, size
256     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_input_fields[i], &elem_rstr));
257     CeedCallBackend(CeedElemRestrictionGetElementSize(elem_rstr, &elem_size));
258     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
259     CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &size));
260     // Basis action
261     switch (eval_mode) {
262       case CEED_EVAL_NONE:
263         CeedCallBackend(CeedVectorSetArray(impl->q_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i][e * Q * size]));
264         break;
265       case CEED_EVAL_INTERP:
266       case CEED_EVAL_GRAD:
267       case CEED_EVAL_DIV:
268       case CEED_EVAL_CURL:
269         CeedCallBackend(CeedOperatorFieldGetBasis(op_input_fields[i], &basis));
270         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
271         CeedCallBackend(CeedVectorSetArray(impl->e_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i][e * elem_size * num_comp]));
272         CeedCallBackend(CeedBasisApply(basis, block_size, CEED_NOTRANSPOSE, eval_mode, impl->e_vecs_in[i], impl->q_vecs_in[i]));
273         break;
274       case CEED_EVAL_WEIGHT:
275         break;  // No action
276     }
277   }
278   return CEED_ERROR_SUCCESS;
279 }
280 
281 //------------------------------------------------------------------------------
282 // Output Basis Action
283 //------------------------------------------------------------------------------
284 static inline int CeedOperatorOutputBasis_Blocked(CeedInt e, CeedInt Q, CeedQFunctionField *qf_output_fields, CeedOperatorField *op_output_fields,
285                                                   CeedInt block_size, CeedInt num_input_fields, CeedInt num_output_fields, CeedOperator op,
286                                                   CeedScalar *e_data_full[2 * CEED_FIELD_MAX], CeedOperator_Blocked *impl) {
287   for (CeedInt i = 0; i < num_output_fields; i++) {
288     CeedInt             elem_size, num_comp;
289     CeedEvalMode        eval_mode;
290     CeedElemRestriction elem_rstr;
291     CeedBasis           basis;
292 
293     // Get elem_size, eval_mode, size
294     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_output_fields[i], &elem_rstr));
295     CeedCallBackend(CeedElemRestrictionGetElementSize(elem_rstr, &elem_size));
296     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
297     // Basis action
298     switch (eval_mode) {
299       case CEED_EVAL_NONE:
300         break;  // No action
301       case CEED_EVAL_INTERP:
302       case CEED_EVAL_GRAD:
303       case CEED_EVAL_DIV:
304       case CEED_EVAL_CURL:
305         CeedCallBackend(CeedOperatorFieldGetBasis(op_output_fields[i], &basis));
306         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
307         CeedCallBackend(
308             CeedVectorSetArray(impl->e_vecs_out[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i + num_input_fields][e * elem_size * num_comp]));
309         CeedCallBackend(CeedBasisApply(basis, block_size, CEED_TRANSPOSE, eval_mode, impl->q_vecs_out[i], impl->e_vecs_out[i]));
310         break;
311       // LCOV_EXCL_START
312       case CEED_EVAL_WEIGHT: {
313         Ceed ceed;
314         CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
315         return CeedError(ceed, CEED_ERROR_BACKEND, "CEED_EVAL_WEIGHT cannot be an output evaluation mode");
316         // LCOV_EXCL_STOP
317       }
318     }
319   }
320   return CEED_ERROR_SUCCESS;
321 }
322 
323 //------------------------------------------------------------------------------
324 // Restore Input Vectors
325 //------------------------------------------------------------------------------
326 static inline int CeedOperatorRestoreInputs_Blocked(CeedInt num_input_fields, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
327                                                     bool skip_active, CeedScalar *e_data_full[2 * CEED_FIELD_MAX], CeedOperator_Blocked *impl) {
328   for (CeedInt i = 0; i < num_input_fields; i++) {
329     CeedEvalMode eval_mode;
330 
331     // Skip active inputs
332     if (skip_active) {
333       CeedVector vec;
334 
335       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
336       if (vec == CEED_VECTOR_ACTIVE) continue;
337     }
338     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
339     if (eval_mode == CEED_EVAL_WEIGHT) {  // Skip
340     } else {
341       CeedCallBackend(CeedVectorRestoreArrayRead(impl->e_vecs_full[i], (const CeedScalar **)&e_data_full[i]));
342     }
343   }
344   return CEED_ERROR_SUCCESS;
345 }
346 
347 //------------------------------------------------------------------------------
348 // Operator Apply
349 //------------------------------------------------------------------------------
350 static int CeedOperatorApplyAdd_Blocked(CeedOperator op, CeedVector in_vec, CeedVector out_vec, CeedRequest *request) {
351   CeedInt               Q, num_input_fields, num_output_fields, num_elem, size;
352   const CeedInt         block_size = 8;
353   CeedEvalMode          eval_mode;
354   CeedScalar           *e_data_full[2 * CEED_FIELD_MAX] = {0};
355   CeedQFunctionField   *qf_input_fields, *qf_output_fields;
356   CeedQFunction         qf;
357   CeedOperatorField    *op_input_fields, *op_output_fields;
358   CeedOperator_Blocked *impl;
359 
360   CeedCallBackend(CeedOperatorGetData(op, &impl));
361   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
362   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
363   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
364   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
365   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
366   const CeedInt num_blocks = (num_elem / block_size) + !!(num_elem % block_size);
367 
368   // Setup
369   CeedCallBackend(CeedOperatorSetup_Blocked(op));
370 
371   // Restriction only operator
372   if (impl->is_identity_rstr_op) {
373     CeedCallBackend(CeedElemRestrictionApply(impl->block_rstr[0], CEED_NOTRANSPOSE, in_vec, impl->e_vecs_full[0], request));
374     CeedCallBackend(CeedElemRestrictionApply(impl->block_rstr[1], CEED_TRANSPOSE, impl->e_vecs_full[0], out_vec, request));
375     return CEED_ERROR_SUCCESS;
376   }
377 
378   // Input Evecs and Restriction
379   CeedCallBackend(CeedOperatorSetupInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, in_vec, false, e_data_full, impl, request));
380 
381   // Output Evecs
382   for (CeedInt i = 0; i < num_output_fields; i++) {
383     CeedCallBackend(CeedVectorGetArrayWrite(impl->e_vecs_full[i + impl->num_inputs], CEED_MEM_HOST, &e_data_full[i + num_input_fields]));
384   }
385 
386   // Loop through elements
387   for (CeedInt e = 0; e < num_blocks * block_size; e += block_size) {
388     // Output pointers
389     for (CeedInt i = 0; i < num_output_fields; i++) {
390       CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
391       if (eval_mode == CEED_EVAL_NONE) {
392         CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[i], &size));
393         CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i + num_input_fields][e * Q * size]));
394       }
395     }
396 
397     // Input basis apply
398     CeedCallBackend(CeedOperatorInputBasis_Blocked(e, Q, qf_input_fields, op_input_fields, num_input_fields, block_size, false, e_data_full, impl));
399 
400     // Q function
401     if (!impl->is_identity_qf) {
402       CeedCallBackend(CeedQFunctionApply(qf, Q * block_size, impl->q_vecs_in, impl->q_vecs_out));
403     }
404 
405     // Output basis apply
406     CeedCallBackend(CeedOperatorOutputBasis_Blocked(e, Q, qf_output_fields, op_output_fields, block_size, num_input_fields, num_output_fields, op,
407                                                     e_data_full, impl));
408   }
409 
410   // Output restriction
411   for (CeedInt i = 0; i < num_output_fields; i++) {
412     CeedVector vec;
413 
414     // Restore evec
415     CeedCallBackend(CeedVectorRestoreArray(impl->e_vecs_full[i + impl->num_inputs], &e_data_full[i + num_input_fields]));
416     // Get output vector
417     CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
418     // Active
419     if (vec == CEED_VECTOR_ACTIVE) vec = out_vec;
420     // Restrict
421     CeedCallBackend(
422         CeedElemRestrictionApply(impl->block_rstr[i + impl->num_inputs], CEED_TRANSPOSE, impl->e_vecs_full[i + impl->num_inputs], vec, request));
423   }
424 
425   // Restore input arrays
426   CeedCallBackend(CeedOperatorRestoreInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, false, e_data_full, impl));
427   return CEED_ERROR_SUCCESS;
428 }
429 
430 //------------------------------------------------------------------------------
431 // Core code for assembling linear QFunction
432 //------------------------------------------------------------------------------
433 static inline int CeedOperatorLinearAssembleQFunctionCore_Blocked(CeedOperator op, bool build_objects, CeedVector *assembled,
434                                                                   CeedElemRestriction *rstr, CeedRequest *request) {
435   Ceed                  ceed;
436   CeedSize              q_size;
437   CeedInt               Q, num_input_fields, num_output_fields, num_elem, size;
438   const CeedInt         block_size = 8;
439   CeedScalar           *l_vec_array;
440   CeedScalar           *e_data_full[2 * CEED_FIELD_MAX] = {0};
441   CeedQFunctionField   *qf_input_fields, *qf_output_fields;
442   CeedQFunction         qf;
443   CeedOperatorField    *op_input_fields, *op_output_fields;
444   CeedOperator_Blocked *impl;
445 
446   CeedCallBackend(CeedOperatorGetData(op, &impl));
447   CeedInt             num_active_in = impl->num_active_in, num_active_out = impl->num_active_out;
448   CeedVector         *active_in  = impl->qf_active_in;
449   CeedVector          l_vec      = impl->qf_l_vec;
450   CeedElemRestriction block_rstr = impl->qf_block_rstr;
451 
452   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
453   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
454   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
455   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
456   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
457   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
458   const CeedInt num_blocks = (num_elem / block_size) + !!(num_elem % block_size);
459 
460   // Setup
461   CeedCallBackend(CeedOperatorSetup_Blocked(op));
462 
463   // Check for identity
464   CeedCheck(!impl->is_identity_qf, ceed, CEED_ERROR_BACKEND, "Assembling identity QFunctions not supported");
465 
466   // Input Evecs and Restriction
467   CeedCallBackend(CeedOperatorSetupInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, NULL, true, e_data_full, impl, request));
468 
469   // Count number of active input fields
470   if (!num_active_in) {
471     for (CeedInt i = 0; i < num_input_fields; i++) {
472       CeedScalar *q_vec_array;
473       CeedVector  vec;
474 
475       // Get input vector
476       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
477       // Check if active input
478       if (vec == CEED_VECTOR_ACTIVE) {
479         CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &size));
480         CeedCallBackend(CeedVectorSetValue(impl->q_vecs_in[i], 0.0));
481         CeedCallBackend(CeedVectorGetArray(impl->q_vecs_in[i], CEED_MEM_HOST, &q_vec_array));
482         CeedCallBackend(CeedRealloc(num_active_in + size, &active_in));
483         for (CeedInt field = 0; field < size; field++) {
484           q_size = (CeedSize)Q * block_size;
485           CeedCallBackend(CeedVectorCreate(ceed, q_size, &active_in[num_active_in + field]));
486           CeedCallBackend(
487               CeedVectorSetArray(active_in[num_active_in + field], CEED_MEM_HOST, CEED_USE_POINTER, &q_vec_array[field * Q * block_size]));
488         }
489         num_active_in += size;
490         CeedCallBackend(CeedVectorRestoreArray(impl->q_vecs_in[i], &q_vec_array));
491       }
492     }
493     impl->num_active_in = num_active_in;
494     impl->qf_active_in  = active_in;
495   }
496 
497   // Count number of active output fields
498   if (!num_active_out) {
499     for (CeedInt i = 0; i < num_output_fields; i++) {
500       CeedVector vec;
501 
502       // Get output vector
503       CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
504       // Check if active output
505       if (vec == CEED_VECTOR_ACTIVE) {
506         CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[i], &size));
507         num_active_out += size;
508       }
509     }
510     impl->num_active_out = num_active_out;
511   }
512 
513   // Check sizes
514   CeedCheck(num_active_in > 0 && num_active_out > 0, ceed, CEED_ERROR_BACKEND, "Cannot assemble QFunction without active inputs and outputs");
515 
516   // Setup Lvec
517   if (!l_vec) {
518     const CeedSize l_size = (CeedSize)num_blocks * block_size * Q * num_active_in * num_active_out;
519 
520     CeedCallBackend(CeedVectorCreate(ceed, l_size, &l_vec));
521     impl->qf_l_vec = l_vec;
522   }
523   CeedCallBackend(CeedVectorGetArrayWrite(l_vec, CEED_MEM_HOST, &l_vec_array));
524 
525   // Setup block restriction
526   if (!block_rstr) {
527     const CeedInt strides[3] = {1, Q, num_active_in * num_active_out * Q};
528 
529     CeedCallBackend(CeedElemRestrictionCreateBlockedStrided(ceed, num_elem, Q, block_size, num_active_in * num_active_out,
530                                                             num_active_in * num_active_out * num_elem * Q, strides, &block_rstr));
531     impl->qf_block_rstr = block_rstr;
532   }
533 
534   // Build objects if needed
535   if (build_objects) {
536     const CeedSize l_size     = (CeedSize)num_elem * Q * num_active_in * num_active_out;
537     const CeedInt  strides[3] = {1, Q, num_active_in * num_active_out * Q};
538 
539     // Create output restriction
540     CeedCallBackend(CeedElemRestrictionCreateStrided(ceed, num_elem, Q, num_active_in * num_active_out, num_active_in * num_active_out * num_elem * Q,
541                                                      strides, rstr));
542     // Create assembled vector
543     CeedCallBackend(CeedVectorCreate(ceed, l_size, assembled));
544   }
545 
546   // Loop through elements
547   for (CeedInt e = 0; e < num_blocks * block_size; e += block_size) {
548     // Input basis apply
549     CeedCallBackend(CeedOperatorInputBasis_Blocked(e, Q, qf_input_fields, op_input_fields, num_input_fields, block_size, true, e_data_full, impl));
550 
551     // Assemble QFunction
552     for (CeedInt in = 0; in < num_active_in; in++) {
553       // Set Inputs
554       CeedCallBackend(CeedVectorSetValue(active_in[in], 1.0));
555       if (num_active_in > 1) {
556         CeedCallBackend(CeedVectorSetValue(active_in[(in + num_active_in - 1) % num_active_in], 0.0));
557       }
558       // Set Outputs
559       for (CeedInt out = 0; out < num_output_fields; out++) {
560         CeedVector vec;
561 
562         // Get output vector
563         CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
564         // Check if active output
565         if (vec == CEED_VECTOR_ACTIVE) {
566           CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[out], CEED_MEM_HOST, CEED_USE_POINTER, l_vec_array));
567           CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[out], &size));
568           l_vec_array += size * Q * block_size;  // Advance the pointer by the size of the output
569         }
570       }
571       // Apply QFunction
572       CeedCallBackend(CeedQFunctionApply(qf, Q * block_size, impl->q_vecs_in, impl->q_vecs_out));
573     }
574   }
575 
576   // Un-set output Qvecs to prevent accidental overwrite of Assembled
577   for (CeedInt out = 0; out < num_output_fields; out++) {
578     CeedVector vec;
579 
580     // Get output vector
581     CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
582     // Check if active output
583     if (vec == CEED_VECTOR_ACTIVE) {
584       CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[out], CEED_MEM_HOST, CEED_COPY_VALUES, NULL));
585     }
586   }
587 
588   // Restore input arrays
589   CeedCallBackend(CeedOperatorRestoreInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, true, e_data_full, impl));
590 
591   // Output blocked restriction
592   CeedCallBackend(CeedVectorRestoreArray(l_vec, &l_vec_array));
593   CeedCallBackend(CeedVectorSetValue(*assembled, 0.0));
594   CeedCallBackend(CeedElemRestrictionApply(block_rstr, CEED_TRANSPOSE, l_vec, *assembled, request));
595   return CEED_ERROR_SUCCESS;
596 }
597 
598 //------------------------------------------------------------------------------
599 // Assemble Linear QFunction
600 //------------------------------------------------------------------------------
601 static int CeedOperatorLinearAssembleQFunction_Blocked(CeedOperator op, CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request) {
602   return CeedOperatorLinearAssembleQFunctionCore_Blocked(op, true, assembled, rstr, request);
603 }
604 
605 //------------------------------------------------------------------------------
606 // Update Assembled Linear QFunction
607 //------------------------------------------------------------------------------
608 static int CeedOperatorLinearAssembleQFunctionUpdate_Blocked(CeedOperator op, CeedVector assembled, CeedElemRestriction rstr, CeedRequest *request) {
609   return CeedOperatorLinearAssembleQFunctionCore_Blocked(op, false, &assembled, &rstr, request);
610 }
611 
612 //------------------------------------------------------------------------------
613 // Operator Destroy
614 //------------------------------------------------------------------------------
615 static int CeedOperatorDestroy_Blocked(CeedOperator op) {
616   CeedOperator_Blocked *impl;
617 
618   CeedCallBackend(CeedOperatorGetData(op, &impl));
619 
620   for (CeedInt i = 0; i < impl->num_inputs + impl->num_outputs; i++) {
621     CeedCallBackend(CeedElemRestrictionDestroy(&impl->block_rstr[i]));
622     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_full[i]));
623   }
624   CeedCallBackend(CeedFree(&impl->block_rstr));
625   CeedCallBackend(CeedFree(&impl->e_vecs_full));
626   CeedCallBackend(CeedFree(&impl->input_states));
627 
628   for (CeedInt i = 0; i < impl->num_inputs; i++) {
629     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_in[i]));
630     CeedCallBackend(CeedVectorDestroy(&impl->q_vecs_in[i]));
631   }
632   CeedCallBackend(CeedFree(&impl->e_vecs_in));
633   CeedCallBackend(CeedFree(&impl->q_vecs_in));
634 
635   for (CeedInt i = 0; i < impl->num_outputs; i++) {
636     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_out[i]));
637     CeedCallBackend(CeedVectorDestroy(&impl->q_vecs_out[i]));
638   }
639   CeedCallBackend(CeedFree(&impl->e_vecs_out));
640   CeedCallBackend(CeedFree(&impl->q_vecs_out));
641 
642   // QFunction assembly data
643   for (CeedInt i = 0; i < impl->num_active_in; i++) {
644     CeedCallBackend(CeedVectorDestroy(&impl->qf_active_in[i]));
645   }
646   CeedCallBackend(CeedFree(&impl->qf_active_in));
647   CeedCallBackend(CeedVectorDestroy(&impl->qf_l_vec));
648   CeedCallBackend(CeedElemRestrictionDestroy(&impl->qf_block_rstr));
649 
650   CeedCallBackend(CeedFree(&impl));
651   return CEED_ERROR_SUCCESS;
652 }
653 
654 //------------------------------------------------------------------------------
655 // Operator Create
656 //------------------------------------------------------------------------------
657 int CeedOperatorCreate_Blocked(CeedOperator op) {
658   Ceed                  ceed;
659   CeedOperator_Blocked *impl;
660 
661   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
662   CeedCallBackend(CeedCalloc(1, &impl));
663   CeedCallBackend(CeedOperatorSetData(op, impl));
664   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunction", CeedOperatorLinearAssembleQFunction_Blocked));
665   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunctionUpdate", CeedOperatorLinearAssembleQFunctionUpdate_Blocked));
666   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "ApplyAdd", CeedOperatorApplyAdd_Blocked));
667   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "Destroy", CeedOperatorDestroy_Blocked));
668   return CEED_ERROR_SUCCESS;
669 }
670 
671 //------------------------------------------------------------------------------
672