xref: /libCEED/backends/blocked/ceed-blocked-operator.c (revision 56c48462b0d39517237dc0770653f43cb7356d08)
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, const CeedInt block_size,
20                                            CeedElemRestriction *block_rstr, CeedVector *e_vecs_full, CeedVector *e_vecs, CeedVector *q_vecs,
21                                            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     if (ceed_parent) ceed = ceed_parent;
34   }
35   if (is_input) {
36     CeedCallBackend(CeedOperatorGetFields(op, NULL, &op_fields, NULL, NULL));
37     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_fields, NULL, NULL));
38   } else {
39     CeedCallBackend(CeedOperatorGetFields(op, NULL, NULL, NULL, &op_fields));
40     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, NULL, NULL, &qf_fields));
41   }
42 
43   // Loop over fields
44   for (CeedInt i = 0; i < num_fields; i++) {
45     CeedEvalMode eval_mode;
46     CeedBasis    basis;
47 
48     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_fields[i], &eval_mode));
49     if (eval_mode != CEED_EVAL_WEIGHT) {
50       Ceed                ceed_rstr;
51       CeedSize            l_size;
52       CeedInt             num_elem, elem_size, comp_stride;
53       CeedRestrictionType rstr_type;
54       CeedElemRestriction rstr;
55 
56       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[i], &rstr));
57       CeedCallBackend(CeedElemRestrictionGetCeed(rstr, &ceed_rstr));
58       CeedCallBackend(CeedElemRestrictionGetNumElements(rstr, &num_elem));
59       CeedCallBackend(CeedElemRestrictionGetElementSize(rstr, &elem_size));
60       CeedCallBackend(CeedElemRestrictionGetLVectorSize(rstr, &l_size));
61       CeedCallBackend(CeedElemRestrictionGetNumComponents(rstr, &num_comp));
62       CeedCallBackend(CeedElemRestrictionGetCompStride(rstr, &comp_stride));
63 
64       CeedCallBackend(CeedElemRestrictionGetType(rstr, &rstr_type));
65       switch (rstr_type) {
66         case CEED_RESTRICTION_STANDARD: {
67           const CeedInt *offsets = NULL;
68 
69           CeedCallBackend(CeedElemRestrictionGetOffsets(rstr, CEED_MEM_HOST, &offsets));
70           CeedCallBackend(CeedElemRestrictionCreateBlocked(ceed_rstr, num_elem, elem_size, block_size, num_comp, comp_stride, l_size, CEED_MEM_HOST,
71                                                            CEED_COPY_VALUES, offsets, &block_rstr[i + start_e]));
72           CeedCallBackend(CeedElemRestrictionRestoreOffsets(rstr, &offsets));
73         } break;
74         case CEED_RESTRICTION_ORIENTED: {
75           const bool    *orients = NULL;
76           const CeedInt *offsets = NULL;
77 
78           CeedCallBackend(CeedElemRestrictionGetOffsets(rstr, CEED_MEM_HOST, &offsets));
79           CeedCallBackend(CeedElemRestrictionGetOrientations(rstr, CEED_MEM_HOST, &orients));
80           CeedCallBackend(CeedElemRestrictionCreateBlockedOriented(ceed_rstr, num_elem, elem_size, block_size, num_comp, comp_stride, l_size,
81                                                                    CEED_MEM_HOST, CEED_COPY_VALUES, offsets, orients, &block_rstr[i + start_e]));
82           CeedCallBackend(CeedElemRestrictionRestoreOffsets(rstr, &offsets));
83           CeedCallBackend(CeedElemRestrictionRestoreOrientations(rstr, &orients));
84         } break;
85         case CEED_RESTRICTION_CURL_ORIENTED: {
86           const CeedInt8 *curl_orients = NULL;
87           const CeedInt  *offsets      = NULL;
88 
89           CeedCallBackend(CeedElemRestrictionGetOffsets(rstr, CEED_MEM_HOST, &offsets));
90           CeedCallBackend(CeedElemRestrictionGetCurlOrientations(rstr, CEED_MEM_HOST, &curl_orients));
91           CeedCallBackend(CeedElemRestrictionCreateBlockedCurlOriented(ceed_rstr, num_elem, elem_size, block_size, num_comp, comp_stride, l_size,
92                                                                        CEED_MEM_HOST, CEED_COPY_VALUES, offsets, curl_orients,
93                                                                        &block_rstr[i + start_e]));
94           CeedCallBackend(CeedElemRestrictionRestoreOffsets(rstr, &offsets));
95           CeedCallBackend(CeedElemRestrictionRestoreCurlOrientations(rstr, &curl_orients));
96         } break;
97         case CEED_RESTRICTION_STRIDED: {
98           CeedInt strides[3];
99 
100           CeedCallBackend(CeedElemRestrictionGetStrides(rstr, strides));
101           CeedCallBackend(CeedElemRestrictionCreateBlockedStrided(ceed_rstr, num_elem, elem_size, block_size, num_comp, l_size, strides,
102                                                                   &block_rstr[i + start_e]));
103         } break;
104         case CEED_RESTRICTION_POINTS:
105           // Empty case - won't occur
106           break;
107       }
108       CeedCallBackend(CeedElemRestrictionCreateVector(block_rstr[i + start_e], NULL, &e_vecs_full[i + start_e]));
109     }
110 
111     switch (eval_mode) {
112       case CEED_EVAL_NONE:
113         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
114         q_size = (CeedSize)Q * size * block_size;
115         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
116         break;
117       case CEED_EVAL_INTERP:
118       case CEED_EVAL_GRAD:
119       case CEED_EVAL_DIV:
120       case CEED_EVAL_CURL:
121         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
122         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
123         CeedCallBackend(CeedBasisGetNumNodes(basis, &P));
124         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
125         e_size = (CeedSize)P * num_comp * block_size;
126         CeedCallBackend(CeedVectorCreate(ceed, e_size, &e_vecs[i]));
127         q_size = (CeedSize)Q * size * block_size;
128         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
129         break;
130       case CEED_EVAL_WEIGHT:  // Only on input fields
131         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
132         q_size = (CeedSize)Q * block_size;
133         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
134         CeedCallBackend(CeedBasisApply(basis, block_size, CEED_NOTRANSPOSE, CEED_EVAL_WEIGHT, CEED_VECTOR_NONE, q_vecs[i]));
135         break;
136     }
137   }
138   return CEED_ERROR_SUCCESS;
139 }
140 
141 //------------------------------------------------------------------------------
142 // Setup Operator
143 //------------------------------------------------------------------------------
144 static int CeedOperatorSetup_Blocked(CeedOperator op) {
145   bool                  is_setup_done;
146   Ceed                  ceed;
147   CeedInt               Q, num_input_fields, num_output_fields;
148   const CeedInt         block_size = 8;
149   CeedQFunctionField   *qf_input_fields, *qf_output_fields;
150   CeedQFunction         qf;
151   CeedOperatorField    *op_input_fields, *op_output_fields;
152   CeedOperator_Blocked *impl;
153 
154   CeedCallBackend(CeedOperatorIsSetupDone(op, &is_setup_done));
155   if (is_setup_done) return CEED_ERROR_SUCCESS;
156 
157   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
158   CeedCallBackend(CeedOperatorGetData(op, &impl));
159   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
160   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
161   CeedCallBackend(CeedQFunctionIsIdentity(qf, &impl->is_identity_qf));
162   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
163   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
164 
165   // Allocate
166   CeedCallBackend(CeedCalloc(num_input_fields + num_output_fields, &impl->block_rstr));
167   CeedCallBackend(CeedCalloc(num_input_fields + num_output_fields, &impl->e_vecs_full));
168 
169   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->input_states));
170   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_in));
171   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_out));
172   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_in));
173   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_out));
174 
175   impl->num_inputs  = num_input_fields;
176   impl->num_outputs = num_output_fields;
177 
178   // Set up infield and outfield pointer arrays
179   // Infields
180   CeedCallBackend(CeedOperatorSetupFields_Blocked(qf, op, true, block_size, impl->block_rstr, impl->e_vecs_full, impl->e_vecs_in, impl->q_vecs_in, 0,
181                                                   num_input_fields, Q));
182   // Outfields
183   CeedCallBackend(CeedOperatorSetupFields_Blocked(qf, op, false, block_size, impl->block_rstr, impl->e_vecs_full, impl->e_vecs_out, impl->q_vecs_out,
184                                                   num_input_fields, num_output_fields, Q));
185 
186   // Identity QFunctions
187   if (impl->is_identity_qf) {
188     CeedEvalMode        in_mode, out_mode;
189     CeedQFunctionField *in_fields, *out_fields;
190 
191     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &in_fields, NULL, &out_fields));
192     CeedCallBackend(CeedQFunctionFieldGetEvalMode(in_fields[0], &in_mode));
193     CeedCallBackend(CeedQFunctionFieldGetEvalMode(out_fields[0], &out_mode));
194 
195     if (in_mode == CEED_EVAL_NONE && out_mode == CEED_EVAL_NONE) {
196       impl->is_identity_rstr_op = true;
197     } else {
198       CeedCallBackend(CeedVectorReferenceCopy(impl->q_vecs_in[0], &impl->q_vecs_out[0]));
199     }
200   }
201 
202   CeedCallBackend(CeedOperatorSetSetupDone(op));
203   return CEED_ERROR_SUCCESS;
204 }
205 
206 //------------------------------------------------------------------------------
207 // Setup Operator Inputs
208 //------------------------------------------------------------------------------
209 static inline int CeedOperatorSetupInputs_Blocked(CeedInt num_input_fields, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
210                                                   CeedVector in_vec, bool skip_active, CeedScalar *e_data_full[2 * CEED_FIELD_MAX],
211                                                   CeedOperator_Blocked *impl, CeedRequest *request) {
212   for (CeedInt i = 0; i < num_input_fields; i++) {
213     uint64_t     state;
214     CeedEvalMode eval_mode;
215     CeedVector   vec;
216 
217     // Get input vector
218     CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
219     if (vec == CEED_VECTOR_ACTIVE) {
220       if (skip_active) continue;
221       else vec = in_vec;
222     }
223 
224     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
225     if (eval_mode == CEED_EVAL_WEIGHT) {  // Skip
226     } else {
227       // Restrict
228       CeedCallBackend(CeedVectorGetState(vec, &state));
229       if (state != impl->input_states[i] || vec == in_vec) {
230         CeedCallBackend(CeedElemRestrictionApply(impl->block_rstr[i], CEED_NOTRANSPOSE, vec, impl->e_vecs_full[i], request));
231         impl->input_states[i] = state;
232       }
233       // Get evec
234       CeedCallBackend(CeedVectorGetArrayRead(impl->e_vecs_full[i], CEED_MEM_HOST, (const CeedScalar **)&e_data_full[i]));
235     }
236   }
237   return CEED_ERROR_SUCCESS;
238 }
239 
240 //------------------------------------------------------------------------------
241 // Input Basis Action
242 //------------------------------------------------------------------------------
243 static inline int CeedOperatorInputBasis_Blocked(CeedInt e, CeedInt Q, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
244                                                  CeedInt num_input_fields, CeedInt block_size, bool skip_active,
245                                                  CeedScalar *e_data_full[2 * CEED_FIELD_MAX], CeedOperator_Blocked *impl) {
246   for (CeedInt i = 0; i < num_input_fields; i++) {
247     CeedInt             elem_size, size, num_comp;
248     CeedEvalMode        eval_mode;
249     CeedElemRestriction elem_rstr;
250     CeedBasis           basis;
251 
252     // Skip active input
253     if (skip_active) {
254       CeedVector vec;
255 
256       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
257       if (vec == CEED_VECTOR_ACTIVE) continue;
258     }
259 
260     // Get elem_size, eval_mode, size
261     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_input_fields[i], &elem_rstr));
262     CeedCallBackend(CeedElemRestrictionGetElementSize(elem_rstr, &elem_size));
263     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
264     CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &size));
265     // Basis action
266     switch (eval_mode) {
267       case CEED_EVAL_NONE:
268         CeedCallBackend(CeedVectorSetArray(impl->q_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i][e * Q * size]));
269         break;
270       case CEED_EVAL_INTERP:
271       case CEED_EVAL_GRAD:
272       case CEED_EVAL_DIV:
273       case CEED_EVAL_CURL:
274         CeedCallBackend(CeedOperatorFieldGetBasis(op_input_fields[i], &basis));
275         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
276         CeedCallBackend(CeedVectorSetArray(impl->e_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i][e * elem_size * num_comp]));
277         CeedCallBackend(CeedBasisApply(basis, block_size, CEED_NOTRANSPOSE, eval_mode, impl->e_vecs_in[i], impl->q_vecs_in[i]));
278         break;
279       case CEED_EVAL_WEIGHT:
280         break;  // No action
281     }
282   }
283   return CEED_ERROR_SUCCESS;
284 }
285 
286 //------------------------------------------------------------------------------
287 // Output Basis Action
288 //------------------------------------------------------------------------------
289 static inline int CeedOperatorOutputBasis_Blocked(CeedInt e, CeedInt Q, CeedQFunctionField *qf_output_fields, CeedOperatorField *op_output_fields,
290                                                   CeedInt block_size, CeedInt num_input_fields, CeedInt num_output_fields, CeedOperator op,
291                                                   CeedScalar *e_data_full[2 * CEED_FIELD_MAX], CeedOperator_Blocked *impl) {
292   for (CeedInt i = 0; i < num_output_fields; i++) {
293     CeedInt             elem_size, num_comp;
294     CeedEvalMode        eval_mode;
295     CeedElemRestriction elem_rstr;
296     CeedBasis           basis;
297 
298     // Get elem_size, eval_mode, size
299     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_output_fields[i], &elem_rstr));
300     CeedCallBackend(CeedElemRestrictionGetElementSize(elem_rstr, &elem_size));
301     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
302     // Basis action
303     switch (eval_mode) {
304       case CEED_EVAL_NONE:
305         break;  // No action
306       case CEED_EVAL_INTERP:
307       case CEED_EVAL_GRAD:
308       case CEED_EVAL_DIV:
309       case CEED_EVAL_CURL:
310         CeedCallBackend(CeedOperatorFieldGetBasis(op_output_fields[i], &basis));
311         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
312         CeedCallBackend(
313             CeedVectorSetArray(impl->e_vecs_out[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i + num_input_fields][e * elem_size * num_comp]));
314         CeedCallBackend(CeedBasisApply(basis, block_size, CEED_TRANSPOSE, eval_mode, impl->q_vecs_out[i], impl->e_vecs_out[i]));
315         break;
316       // LCOV_EXCL_START
317       case CEED_EVAL_WEIGHT: {
318         Ceed ceed;
319 
320         CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
321         return CeedError(ceed, CEED_ERROR_BACKEND, "CEED_EVAL_WEIGHT cannot be an output evaluation mode");
322         // LCOV_EXCL_STOP
323       }
324     }
325   }
326   return CEED_ERROR_SUCCESS;
327 }
328 
329 //------------------------------------------------------------------------------
330 // Restore Input Vectors
331 //------------------------------------------------------------------------------
332 static inline int CeedOperatorRestoreInputs_Blocked(CeedInt num_input_fields, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
333                                                     bool skip_active, CeedScalar *e_data_full[2 * CEED_FIELD_MAX], CeedOperator_Blocked *impl) {
334   for (CeedInt i = 0; i < num_input_fields; i++) {
335     CeedEvalMode eval_mode;
336 
337     // Skip active inputs
338     if (skip_active) {
339       CeedVector vec;
340 
341       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
342       if (vec == CEED_VECTOR_ACTIVE) continue;
343     }
344     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
345     if (eval_mode == CEED_EVAL_WEIGHT) {  // Skip
346     } else {
347       CeedCallBackend(CeedVectorRestoreArrayRead(impl->e_vecs_full[i], (const CeedScalar **)&e_data_full[i]));
348     }
349   }
350   return CEED_ERROR_SUCCESS;
351 }
352 
353 //------------------------------------------------------------------------------
354 // Operator Apply
355 //------------------------------------------------------------------------------
356 static int CeedOperatorApplyAdd_Blocked(CeedOperator op, CeedVector in_vec, CeedVector out_vec, CeedRequest *request) {
357   CeedInt               Q, num_input_fields, num_output_fields, num_elem, size;
358   const CeedInt         block_size = 8;
359   CeedEvalMode          eval_mode;
360   CeedScalar           *e_data_full[2 * CEED_FIELD_MAX] = {0};
361   CeedQFunctionField   *qf_input_fields, *qf_output_fields;
362   CeedQFunction         qf;
363   CeedOperatorField    *op_input_fields, *op_output_fields;
364   CeedOperator_Blocked *impl;
365 
366   CeedCallBackend(CeedOperatorGetData(op, &impl));
367   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
368   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
369   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
370   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
371   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
372   const CeedInt num_blocks = (num_elem / block_size) + !!(num_elem % block_size);
373 
374   // Setup
375   CeedCallBackend(CeedOperatorSetup_Blocked(op));
376 
377   // Restriction only operator
378   if (impl->is_identity_rstr_op) {
379     CeedCallBackend(CeedElemRestrictionApply(impl->block_rstr[0], CEED_NOTRANSPOSE, in_vec, impl->e_vecs_full[0], request));
380     CeedCallBackend(CeedElemRestrictionApply(impl->block_rstr[1], CEED_TRANSPOSE, impl->e_vecs_full[0], out_vec, request));
381     return CEED_ERROR_SUCCESS;
382   }
383 
384   // Input Evecs and Restriction
385   CeedCallBackend(CeedOperatorSetupInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, in_vec, false, e_data_full, impl, request));
386 
387   // Output Evecs
388   for (CeedInt i = 0; i < num_output_fields; i++) {
389     CeedCallBackend(CeedVectorGetArrayWrite(impl->e_vecs_full[i + impl->num_inputs], CEED_MEM_HOST, &e_data_full[i + num_input_fields]));
390   }
391 
392   // Loop through elements
393   for (CeedInt e = 0; e < num_blocks * block_size; e += block_size) {
394     // Output pointers
395     for (CeedInt i = 0; i < num_output_fields; i++) {
396       CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
397       if (eval_mode == CEED_EVAL_NONE) {
398         CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[i], &size));
399         CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i + num_input_fields][e * Q * size]));
400       }
401     }
402 
403     // Input basis apply
404     CeedCallBackend(CeedOperatorInputBasis_Blocked(e, Q, qf_input_fields, op_input_fields, num_input_fields, block_size, false, e_data_full, impl));
405 
406     // Q function
407     if (!impl->is_identity_qf) {
408       CeedCallBackend(CeedQFunctionApply(qf, Q * block_size, impl->q_vecs_in, impl->q_vecs_out));
409     }
410 
411     // Output basis apply
412     CeedCallBackend(CeedOperatorOutputBasis_Blocked(e, Q, qf_output_fields, op_output_fields, block_size, num_input_fields, num_output_fields, op,
413                                                     e_data_full, impl));
414   }
415 
416   // Output restriction
417   for (CeedInt i = 0; i < num_output_fields; i++) {
418     CeedVector vec;
419 
420     // Restore evec
421     CeedCallBackend(CeedVectorRestoreArray(impl->e_vecs_full[i + impl->num_inputs], &e_data_full[i + num_input_fields]));
422     // Get output vector
423     CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
424     // Active
425     if (vec == CEED_VECTOR_ACTIVE) vec = out_vec;
426     // Restrict
427     CeedCallBackend(
428         CeedElemRestrictionApply(impl->block_rstr[i + impl->num_inputs], CEED_TRANSPOSE, impl->e_vecs_full[i + impl->num_inputs], vec, request));
429   }
430 
431   // Restore input arrays
432   CeedCallBackend(CeedOperatorRestoreInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, false, e_data_full, impl));
433   return CEED_ERROR_SUCCESS;
434 }
435 
436 //------------------------------------------------------------------------------
437 // Core code for assembling linear QFunction
438 //------------------------------------------------------------------------------
439 static inline int CeedOperatorLinearAssembleQFunctionCore_Blocked(CeedOperator op, bool build_objects, CeedVector *assembled,
440                                                                   CeedElemRestriction *rstr, CeedRequest *request) {
441   Ceed                  ceed;
442   CeedSize              q_size;
443   CeedInt               Q, num_input_fields, num_output_fields, num_elem, size;
444   const CeedInt         block_size = 8;
445   CeedScalar           *l_vec_array;
446   CeedScalar           *e_data_full[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_Blocked *impl;
451 
452   CeedCallBackend(CeedOperatorGetData(op, &impl));
453   CeedInt             num_active_in = impl->num_active_in, num_active_out = impl->num_active_out;
454   CeedVector         *active_in  = impl->qf_active_in;
455   CeedVector          l_vec      = impl->qf_l_vec;
456   CeedElemRestriction block_rstr = impl->qf_block_rstr;
457 
458   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
459   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
460   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
461   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
462   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
463   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
464   const CeedInt num_blocks = (num_elem / block_size) + !!(num_elem % block_size);
465 
466   // Setup
467   CeedCallBackend(CeedOperatorSetup_Blocked(op));
468 
469   // Check for restriction only operator
470   CeedCheck(!impl->is_identity_rstr_op, ceed, CEED_ERROR_BACKEND, "Assembling restriction only operators is not supported");
471 
472   // Input Evecs and Restriction
473   CeedCallBackend(CeedOperatorSetupInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, NULL, true, e_data_full, impl, request));
474 
475   // Count number of active input fields
476   if (!num_active_in) {
477     for (CeedInt i = 0; i < num_input_fields; i++) {
478       CeedScalar *q_vec_array;
479       CeedVector  vec;
480 
481       // Get input vector
482       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
483       // Check if active input
484       if (vec == CEED_VECTOR_ACTIVE) {
485         CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &size));
486         CeedCallBackend(CeedVectorSetValue(impl->q_vecs_in[i], 0.0));
487         CeedCallBackend(CeedVectorGetArray(impl->q_vecs_in[i], CEED_MEM_HOST, &q_vec_array));
488         CeedCallBackend(CeedRealloc(num_active_in + size, &active_in));
489         for (CeedInt field = 0; field < size; field++) {
490           q_size = (CeedSize)Q * block_size;
491           CeedCallBackend(CeedVectorCreate(ceed, q_size, &active_in[num_active_in + field]));
492           CeedCallBackend(
493               CeedVectorSetArray(active_in[num_active_in + field], CEED_MEM_HOST, CEED_USE_POINTER, &q_vec_array[field * Q * block_size]));
494         }
495         num_active_in += size;
496         CeedCallBackend(CeedVectorRestoreArray(impl->q_vecs_in[i], &q_vec_array));
497       }
498     }
499     impl->num_active_in = num_active_in;
500     impl->qf_active_in  = active_in;
501   }
502 
503   // Count number of active output fields
504   if (!num_active_out) {
505     for (CeedInt i = 0; i < num_output_fields; i++) {
506       CeedVector vec;
507 
508       // Get output vector
509       CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
510       // Check if active output
511       if (vec == CEED_VECTOR_ACTIVE) {
512         CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[i], &size));
513         num_active_out += size;
514       }
515     }
516     impl->num_active_out = num_active_out;
517   }
518 
519   // Check sizes
520   CeedCheck(num_active_in > 0 && num_active_out > 0, ceed, CEED_ERROR_BACKEND, "Cannot assemble QFunction without active inputs and outputs");
521 
522   // Setup Lvec
523   if (!l_vec) {
524     const CeedSize l_size = (CeedSize)num_blocks * block_size * Q * num_active_in * num_active_out;
525 
526     CeedCallBackend(CeedVectorCreate(ceed, l_size, &l_vec));
527     impl->qf_l_vec = l_vec;
528   }
529   CeedCallBackend(CeedVectorGetArrayWrite(l_vec, CEED_MEM_HOST, &l_vec_array));
530 
531   // Setup block restriction
532   if (!block_rstr) {
533     const CeedInt strides[3] = {1, Q, num_active_in * num_active_out * Q};
534 
535     CeedCallBackend(CeedElemRestrictionCreateBlockedStrided(ceed, num_elem, Q, block_size, num_active_in * num_active_out,
536                                                             num_active_in * num_active_out * num_elem * Q, strides, &block_rstr));
537     impl->qf_block_rstr = block_rstr;
538   }
539 
540   // Build objects if needed
541   if (build_objects) {
542     const CeedSize l_size     = (CeedSize)num_elem * Q * num_active_in * num_active_out;
543     const CeedInt  strides[3] = {1, Q, num_active_in * num_active_out * Q};
544 
545     // Create output restriction
546     CeedCallBackend(CeedElemRestrictionCreateStrided(ceed, num_elem, Q, num_active_in * num_active_out, num_active_in * num_active_out * num_elem * Q,
547                                                      strides, rstr));
548     // Create assembled vector
549     CeedCallBackend(CeedVectorCreate(ceed, l_size, assembled));
550   }
551 
552   // Loop through elements
553   for (CeedInt e = 0; e < num_blocks * block_size; e += block_size) {
554     // Input basis apply
555     CeedCallBackend(CeedOperatorInputBasis_Blocked(e, Q, qf_input_fields, op_input_fields, num_input_fields, block_size, true, e_data_full, impl));
556 
557     // Assemble QFunction
558     for (CeedInt in = 0; in < num_active_in; in++) {
559       // Set Inputs
560       CeedCallBackend(CeedVectorSetValue(active_in[in], 1.0));
561       if (num_active_in > 1) {
562         CeedCallBackend(CeedVectorSetValue(active_in[(in + num_active_in - 1) % num_active_in], 0.0));
563       }
564       if (!impl->is_identity_qf) {
565         // Set Outputs
566         for (CeedInt out = 0; out < num_output_fields; out++) {
567           CeedVector vec;
568 
569           // Get output vector
570           CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
571           // Check if active output
572           if (vec == CEED_VECTOR_ACTIVE) {
573             CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[out], CEED_MEM_HOST, CEED_USE_POINTER, l_vec_array));
574             CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[out], &size));
575             l_vec_array += size * Q * block_size;  // Advance the pointer by the size of the output
576           }
577         }
578         // Apply QFunction
579         CeedCallBackend(CeedQFunctionApply(qf, Q * block_size, impl->q_vecs_in, impl->q_vecs_out));
580       } else {
581         const CeedScalar *q_vec_array;
582 
583         // Copy Identity Outputs
584         CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[0], &size));
585         CeedCallBackend(CeedVectorGetArrayRead(impl->q_vecs_out[0], CEED_MEM_HOST, &q_vec_array));
586         for (CeedInt i = 0; i < size * Q * block_size; i++) l_vec_array[i] = q_vec_array[i];
587         CeedCallBackend(CeedVectorRestoreArrayRead(impl->q_vecs_out[0], &q_vec_array));
588         l_vec_array += size * Q * block_size;
589       }
590     }
591   }
592 
593   // Un-set output Qvecs to prevent accidental overwrite of Assembled
594   if (!impl->is_identity_qf) {
595     for (CeedInt out = 0; out < num_output_fields; out++) {
596       CeedVector vec;
597 
598       // Get output vector
599       CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
600       // Check if active output
601       if (vec == CEED_VECTOR_ACTIVE) {
602         CeedCallBackend(CeedVectorTakeArray(impl->q_vecs_out[out], CEED_MEM_HOST, NULL));
603       }
604     }
605   }
606 
607   // Restore input arrays
608   CeedCallBackend(CeedOperatorRestoreInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, true, e_data_full, impl));
609 
610   // Output blocked restriction
611   CeedCallBackend(CeedVectorRestoreArray(l_vec, &l_vec_array));
612   CeedCallBackend(CeedVectorSetValue(*assembled, 0.0));
613   CeedCallBackend(CeedElemRestrictionApply(block_rstr, CEED_TRANSPOSE, l_vec, *assembled, request));
614   return CEED_ERROR_SUCCESS;
615 }
616 
617 //------------------------------------------------------------------------------
618 // Assemble Linear QFunction
619 //------------------------------------------------------------------------------
620 static int CeedOperatorLinearAssembleQFunction_Blocked(CeedOperator op, CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request) {
621   return CeedOperatorLinearAssembleQFunctionCore_Blocked(op, true, assembled, rstr, request);
622 }
623 
624 //------------------------------------------------------------------------------
625 // Update Assembled Linear QFunction
626 //------------------------------------------------------------------------------
627 static int CeedOperatorLinearAssembleQFunctionUpdate_Blocked(CeedOperator op, CeedVector assembled, CeedElemRestriction rstr, CeedRequest *request) {
628   return CeedOperatorLinearAssembleQFunctionCore_Blocked(op, false, &assembled, &rstr, request);
629 }
630 
631 //------------------------------------------------------------------------------
632 // Operator Destroy
633 //------------------------------------------------------------------------------
634 static int CeedOperatorDestroy_Blocked(CeedOperator op) {
635   CeedOperator_Blocked *impl;
636 
637   CeedCallBackend(CeedOperatorGetData(op, &impl));
638 
639   for (CeedInt i = 0; i < impl->num_inputs + impl->num_outputs; i++) {
640     CeedCallBackend(CeedElemRestrictionDestroy(&impl->block_rstr[i]));
641     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_full[i]));
642   }
643   CeedCallBackend(CeedFree(&impl->block_rstr));
644   CeedCallBackend(CeedFree(&impl->e_vecs_full));
645   CeedCallBackend(CeedFree(&impl->input_states));
646 
647   for (CeedInt i = 0; i < impl->num_inputs; i++) {
648     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_in[i]));
649     CeedCallBackend(CeedVectorDestroy(&impl->q_vecs_in[i]));
650   }
651   CeedCallBackend(CeedFree(&impl->e_vecs_in));
652   CeedCallBackend(CeedFree(&impl->q_vecs_in));
653 
654   for (CeedInt i = 0; i < impl->num_outputs; i++) {
655     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_out[i]));
656     CeedCallBackend(CeedVectorDestroy(&impl->q_vecs_out[i]));
657   }
658   CeedCallBackend(CeedFree(&impl->e_vecs_out));
659   CeedCallBackend(CeedFree(&impl->q_vecs_out));
660 
661   // QFunction assembly data
662   for (CeedInt i = 0; i < impl->num_active_in; i++) {
663     CeedCallBackend(CeedVectorDestroy(&impl->qf_active_in[i]));
664   }
665   CeedCallBackend(CeedFree(&impl->qf_active_in));
666   CeedCallBackend(CeedVectorDestroy(&impl->qf_l_vec));
667   CeedCallBackend(CeedElemRestrictionDestroy(&impl->qf_block_rstr));
668 
669   CeedCallBackend(CeedFree(&impl));
670   return CEED_ERROR_SUCCESS;
671 }
672 
673 //------------------------------------------------------------------------------
674 // Operator Create
675 //------------------------------------------------------------------------------
676 int CeedOperatorCreate_Blocked(CeedOperator op) {
677   Ceed                  ceed;
678   CeedOperator_Blocked *impl;
679 
680   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
681   CeedCallBackend(CeedCalloc(1, &impl));
682   CeedCallBackend(CeedOperatorSetData(op, impl));
683   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunction", CeedOperatorLinearAssembleQFunction_Blocked));
684   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunctionUpdate", CeedOperatorLinearAssembleQFunctionUpdate_Blocked));
685   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "ApplyAdd", CeedOperatorApplyAdd_Blocked));
686   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "Destroy", CeedOperatorDestroy_Blocked));
687   return CEED_ERROR_SUCCESS;
688 }
689 
690 //------------------------------------------------------------------------------
691