xref: /libCEED/backends/blocked/ceed-blocked-operator.c (revision fcbe8c069ccd22d836386af4823e4c7d84ee0a69)
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 *blk_restr, CeedVector *e_vecs_full,
20                                            CeedVector *e_vecs, CeedVector *q_vecs, CeedInt start_e, CeedInt num_fields, CeedInt Q) {
21   CeedInt  num_comp, size, P;
22   CeedSize e_size, q_size;
23   Ceed     ceed;
24   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
25   CeedBasis           basis;
26   CeedElemRestriction r;
27   CeedOperatorField  *op_fields;
28   CeedQFunctionField *qf_fields;
29   if (is_input) {
30     CeedCallBackend(CeedOperatorGetFields(op, NULL, &op_fields, NULL, NULL));
31     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_fields, NULL, NULL));
32   } else {
33     CeedCallBackend(CeedOperatorGetFields(op, NULL, NULL, NULL, &op_fields));
34     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, NULL, NULL, &qf_fields));
35   }
36   const CeedInt blk_size = 8;
37 
38   // Loop over fields
39   for (CeedInt i = 0; i < num_fields; i++) {
40     CeedEvalMode eval_mode;
41     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_fields[i], &eval_mode));
42 
43     if (eval_mode != CEED_EVAL_WEIGHT) {
44       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[i], &r));
45       CeedCallBackend(CeedElemRestrictionGetCeed(r, &ceed));
46       CeedSize l_size;
47       CeedInt  num_elem, elem_size, comp_stride;
48       CeedCallBackend(CeedElemRestrictionGetNumElements(r, &num_elem));
49       CeedCallBackend(CeedElemRestrictionGetElementSize(r, &elem_size));
50       CeedCallBackend(CeedElemRestrictionGetLVectorSize(r, &l_size));
51       CeedCallBackend(CeedElemRestrictionGetNumComponents(r, &num_comp));
52       CeedCallBackend(CeedElemRestrictionGetCompStride(r, &comp_stride));
53 
54       CeedRestrictionType rstr_type;
55       CeedCallBackend(CeedElemRestrictionGetType(r, &rstr_type));
56       const CeedInt *offsets = NULL;
57       CeedCallBackend(CeedElemRestrictionGetOffsets(r, CEED_MEM_HOST, &offsets));
58       switch (rstr_type) {
59         case CEED_RESTRICTION_DEFAULT: {
60           CeedCallBackend(CeedElemRestrictionCreateBlocked(ceed, num_elem, elem_size, blk_size, num_comp, comp_stride, l_size, CEED_MEM_HOST,
61                                                            CEED_COPY_VALUES, offsets, &blk_restr[i + start_e]));
62         } break;
63         case CEED_RESTRICTION_ORIENTED: {
64           const bool *orients = NULL;
65           CeedCallBackend(CeedElemRestrictionGetOrientations(r, CEED_MEM_HOST, &orients));
66           CeedCallBackend(CeedElemRestrictionCreateBlockedOriented(ceed, num_elem, elem_size, blk_size, num_comp, comp_stride, l_size, CEED_MEM_HOST,
67                                                                    CEED_COPY_VALUES, offsets, orients, &blk_restr[i + start_e]));
68           CeedCallBackend(CeedElemRestrictionRestoreOrientations(r, &orients));
69         } break;
70         case CEED_RESTRICTION_CURL_ORIENTED: {
71           const CeedInt *curl_orients = NULL;
72           CeedCallBackend(CeedElemRestrictionGetCurlOrientations(r, CEED_MEM_HOST, &curl_orients));
73           CeedCallBackend(CeedElemRestrictionCreateBlockedCurlOriented(ceed, num_elem, elem_size, blk_size, num_comp, comp_stride, l_size,
74                                                                        CEED_MEM_HOST, CEED_COPY_VALUES, offsets, curl_orients,
75                                                                        &blk_restr[i + start_e]));
76           CeedCallBackend(CeedElemRestrictionRestoreCurlOrientations(r, &curl_orients));
77         } break;
78         case CEED_RESTRICTION_STRIDED: {
79           CeedInt strides[3];
80           CeedCallBackend(CeedElemRestrictionGetStrides(r, &strides));
81           CeedCallBackend(
82               CeedElemRestrictionCreateBlockedStrided(ceed, num_elem, elem_size, blk_size, num_comp, l_size, strides, &blk_restr[i + start_e]));
83         } break;
84       }
85       CeedCallBackend(CeedElemRestrictionRestoreOffsets(r, &offsets));
86       CeedCallBackend(CeedElemRestrictionCreateVector(blk_restr[i + start_e], NULL, &e_vecs_full[i + start_e]));
87     }
88 
89     switch (eval_mode) {
90       case CEED_EVAL_NONE:
91         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
92         q_size = (CeedSize)Q * size * blk_size;
93         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
94         break;
95       case CEED_EVAL_INTERP:
96       case CEED_EVAL_GRAD:
97       case CEED_EVAL_DIV:
98       case CEED_EVAL_CURL:
99         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
100         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
101         CeedCallBackend(CeedBasisGetNumNodes(basis, &P));
102         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
103         e_size = (CeedSize)P * num_comp * blk_size;
104         CeedCallBackend(CeedVectorCreate(ceed, e_size, &e_vecs[i]));
105         q_size = (CeedSize)Q * size * blk_size;
106         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
107         break;
108       case CEED_EVAL_WEIGHT:  // Only on input fields
109         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
110         q_size = (CeedSize)Q * blk_size;
111         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
112         CeedCallBackend(CeedBasisApply(basis, blk_size, CEED_NOTRANSPOSE, CEED_EVAL_WEIGHT, CEED_VECTOR_NONE, q_vecs[i]));
113         break;
114     }
115   }
116   return CEED_ERROR_SUCCESS;
117 }
118 
119 //------------------------------------------------------------------------------
120 // Setup Operator
121 //------------------------------------------------------------------------------
122 static int CeedOperatorSetup_Blocked(CeedOperator op) {
123   bool is_setup_done;
124   CeedCallBackend(CeedOperatorIsSetupDone(op, &is_setup_done));
125   if (is_setup_done) return CEED_ERROR_SUCCESS;
126   Ceed ceed;
127   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
128   CeedOperator_Blocked *impl;
129   CeedCallBackend(CeedOperatorGetData(op, &impl));
130   CeedQFunction qf;
131   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
132   CeedInt Q, num_input_fields, num_output_fields;
133   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
134   CeedCallBackend(CeedQFunctionIsIdentity(qf, &impl->is_identity_qf));
135   CeedOperatorField *op_input_fields, *op_output_fields;
136   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
137   CeedQFunctionField *qf_input_fields, *qf_output_fields;
138   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
139 
140   // Allocate
141   CeedCallBackend(CeedCalloc(num_input_fields + num_output_fields, &impl->blk_restr));
142   CeedCallBackend(CeedCalloc(num_input_fields + num_output_fields, &impl->e_vecs_full));
143 
144   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->input_states));
145   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_in));
146   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_out));
147   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_in));
148   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_out));
149 
150   impl->num_inputs  = num_input_fields;
151   impl->num_outputs = num_output_fields;
152 
153   // Set up infield and outfield pointer arrays
154   // Infields
155   CeedCallBackend(
156       CeedOperatorSetupFields_Blocked(qf, op, true, impl->blk_restr, impl->e_vecs_full, impl->e_vecs_in, impl->q_vecs_in, 0, num_input_fields, Q));
157   // Outfields
158   CeedCallBackend(CeedOperatorSetupFields_Blocked(qf, op, false, impl->blk_restr, impl->e_vecs_full, impl->e_vecs_out, impl->q_vecs_out,
159                                                   num_input_fields, num_output_fields, Q));
160 
161   // Identity QFunctions
162   if (impl->is_identity_qf) {
163     CeedEvalMode        in_mode, out_mode;
164     CeedQFunctionField *in_fields, *out_fields;
165     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &in_fields, NULL, &out_fields));
166     CeedCallBackend(CeedQFunctionFieldGetEvalMode(in_fields[0], &in_mode));
167     CeedCallBackend(CeedQFunctionFieldGetEvalMode(out_fields[0], &out_mode));
168 
169     if (in_mode == CEED_EVAL_NONE && out_mode == CEED_EVAL_NONE) {
170       impl->is_identity_restr_op = true;
171     } else {
172       CeedCallBackend(CeedVectorReferenceCopy(impl->q_vecs_in[0], &impl->q_vecs_out[0]));
173     }
174   }
175 
176   CeedCallBackend(CeedOperatorSetSetupDone(op));
177 
178   return CEED_ERROR_SUCCESS;
179 }
180 
181 //------------------------------------------------------------------------------
182 // Setup Operator Inputs
183 //------------------------------------------------------------------------------
184 static inline int CeedOperatorSetupInputs_Blocked(CeedInt num_input_fields, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
185                                                   CeedVector in_vec, bool skip_active, CeedScalar *e_data_full[2 * CEED_FIELD_MAX],
186                                                   CeedOperator_Blocked *impl, CeedRequest *request) {
187   CeedEvalMode eval_mode;
188   CeedVector   vec;
189   uint64_t     state;
190 
191   for (CeedInt i = 0; i < num_input_fields; i++) {
192     // Get input vector
193     CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
194     if (vec == CEED_VECTOR_ACTIVE) {
195       if (skip_active) continue;
196       else vec = in_vec;
197     }
198 
199     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
200     if (eval_mode == CEED_EVAL_WEIGHT) {  // Skip
201     } else {
202       // Restrict
203       CeedCallBackend(CeedVectorGetState(vec, &state));
204       if (state != impl->input_states[i] || vec == in_vec) {
205         CeedCallBackend(CeedElemRestrictionApply(impl->blk_restr[i], CEED_NOTRANSPOSE, vec, impl->e_vecs_full[i], request));
206         impl->input_states[i] = state;
207       }
208       // Get evec
209       CeedCallBackend(CeedVectorGetArrayRead(impl->e_vecs_full[i], CEED_MEM_HOST, (const CeedScalar **)&e_data_full[i]));
210     }
211   }
212   return CEED_ERROR_SUCCESS;
213 }
214 
215 //------------------------------------------------------------------------------
216 // Input Basis Action
217 //------------------------------------------------------------------------------
218 static inline int CeedOperatorInputBasis_Blocked(CeedInt e, CeedInt Q, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
219                                                  CeedInt num_input_fields, CeedInt blk_size, bool skip_active,
220                                                  CeedScalar *e_data_full[2 * CEED_FIELD_MAX], CeedOperator_Blocked *impl) {
221   CeedInt             elem_size, size, num_comp;
222   CeedElemRestriction elem_restr;
223   CeedEvalMode        eval_mode;
224   CeedBasis           basis;
225 
226   for (CeedInt i = 0; i < num_input_fields; i++) {
227     // Skip active input
228     if (skip_active) {
229       CeedVector vec;
230       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
231       if (vec == CEED_VECTOR_ACTIVE) continue;
232     }
233 
234     // Get elem_size, eval_mode, size
235     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_input_fields[i], &elem_restr));
236     CeedCallBackend(CeedElemRestrictionGetElementSize(elem_restr, &elem_size));
237     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
238     CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &size));
239     // Basis action
240     switch (eval_mode) {
241       case CEED_EVAL_NONE:
242         CeedCallBackend(CeedVectorSetArray(impl->q_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i][e * Q * size]));
243         break;
244       case CEED_EVAL_INTERP:
245       case CEED_EVAL_GRAD:
246       case CEED_EVAL_DIV:
247       case CEED_EVAL_CURL:
248         CeedCallBackend(CeedOperatorFieldGetBasis(op_input_fields[i], &basis));
249         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
250         CeedCallBackend(CeedVectorSetArray(impl->e_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i][e * elem_size * num_comp]));
251         CeedCallBackend(CeedBasisApply(basis, blk_size, CEED_NOTRANSPOSE, eval_mode, impl->e_vecs_in[i], impl->q_vecs_in[i]));
252         break;
253       case CEED_EVAL_WEIGHT:
254         break;  // No action
255     }
256   }
257   return CEED_ERROR_SUCCESS;
258 }
259 
260 //------------------------------------------------------------------------------
261 // Output Basis Action
262 //------------------------------------------------------------------------------
263 static inline int CeedOperatorOutputBasis_Blocked(CeedInt e, CeedInt Q, CeedQFunctionField *qf_output_fields, CeedOperatorField *op_output_fields,
264                                                   CeedInt blk_size, CeedInt num_input_fields, CeedInt num_output_fields, CeedOperator op,
265                                                   CeedScalar *e_data_full[2 * CEED_FIELD_MAX], CeedOperator_Blocked *impl) {
266   CeedInt             elem_size, num_comp;
267   CeedElemRestriction elem_restr;
268   CeedEvalMode        eval_mode;
269   CeedBasis           basis;
270 
271   for (CeedInt i = 0; i < num_output_fields; i++) {
272     // Get elem_size, eval_mode, size
273     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_output_fields[i], &elem_restr));
274     CeedCallBackend(CeedElemRestrictionGetElementSize(elem_restr, &elem_size));
275     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
276     // Basis action
277     switch (eval_mode) {
278       case CEED_EVAL_NONE:
279         break;  // No action
280       case CEED_EVAL_INTERP:
281       case CEED_EVAL_GRAD:
282       case CEED_EVAL_DIV:
283       case CEED_EVAL_CURL:
284         CeedCallBackend(CeedOperatorFieldGetBasis(op_output_fields[i], &basis));
285         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
286         CeedCallBackend(
287             CeedVectorSetArray(impl->e_vecs_out[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i + num_input_fields][e * elem_size * num_comp]));
288         CeedCallBackend(CeedBasisApply(basis, blk_size, CEED_TRANSPOSE, eval_mode, impl->q_vecs_out[i], impl->e_vecs_out[i]));
289         break;
290       // LCOV_EXCL_START
291       case CEED_EVAL_WEIGHT: {
292         Ceed ceed;
293         CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
294         return CeedError(ceed, CEED_ERROR_BACKEND, "CEED_EVAL_WEIGHT cannot be an output evaluation mode");
295         // LCOV_EXCL_STOP
296       }
297     }
298   }
299   return CEED_ERROR_SUCCESS;
300 }
301 
302 //------------------------------------------------------------------------------
303 // Restore Input Vectors
304 //------------------------------------------------------------------------------
305 static inline int CeedOperatorRestoreInputs_Blocked(CeedInt num_input_fields, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
306                                                     bool skip_active, CeedScalar *e_data_full[2 * CEED_FIELD_MAX], CeedOperator_Blocked *impl) {
307   CeedEvalMode eval_mode;
308 
309   for (CeedInt i = 0; i < num_input_fields; i++) {
310     // Skip active inputs
311     if (skip_active) {
312       CeedVector vec;
313       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
314       if (vec == CEED_VECTOR_ACTIVE) continue;
315     }
316     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
317     if (eval_mode == CEED_EVAL_WEIGHT) {  // Skip
318     } else {
319       CeedCallBackend(CeedVectorRestoreArrayRead(impl->e_vecs_full[i], (const CeedScalar **)&e_data_full[i]));
320     }
321   }
322   return CEED_ERROR_SUCCESS;
323 }
324 
325 //------------------------------------------------------------------------------
326 // Operator Apply
327 //------------------------------------------------------------------------------
328 static int CeedOperatorApplyAdd_Blocked(CeedOperator op, CeedVector in_vec, CeedVector out_vec, CeedRequest *request) {
329   CeedOperator_Blocked *impl;
330   CeedCallBackend(CeedOperatorGetData(op, &impl));
331   const CeedInt blk_size = 8;
332   CeedInt       Q, num_input_fields, num_output_fields, num_elem, size;
333   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
334   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
335   CeedInt       num_blks = (num_elem / blk_size) + !!(num_elem % blk_size);
336   CeedQFunction qf;
337   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
338   CeedOperatorField *op_input_fields, *op_output_fields;
339   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
340   CeedQFunctionField *qf_input_fields, *qf_output_fields;
341   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
342   CeedEvalMode eval_mode;
343   CeedVector   vec;
344   CeedScalar  *e_data_full[2 * CEED_FIELD_MAX] = {0};
345 
346   // Setup
347   CeedCallBackend(CeedOperatorSetup_Blocked(op));
348 
349   // Restriction only operator
350   if (impl->is_identity_restr_op) {
351     CeedCallBackend(CeedElemRestrictionApply(impl->blk_restr[0], CEED_NOTRANSPOSE, in_vec, impl->e_vecs_full[0], request));
352     CeedCallBackend(CeedElemRestrictionApply(impl->blk_restr[1], CEED_TRANSPOSE, impl->e_vecs_full[0], out_vec, request));
353     return CEED_ERROR_SUCCESS;
354   }
355 
356   // Input Evecs and Restriction
357   CeedCallBackend(CeedOperatorSetupInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, in_vec, false, e_data_full, impl, request));
358 
359   // Output Evecs
360   for (CeedInt i = 0; i < num_output_fields; i++) {
361     CeedCallBackend(CeedVectorGetArrayWrite(impl->e_vecs_full[i + impl->num_inputs], CEED_MEM_HOST, &e_data_full[i + num_input_fields]));
362   }
363 
364   // Loop through elements
365   for (CeedInt e = 0; e < num_blks * blk_size; e += blk_size) {
366     // Output pointers
367     for (CeedInt i = 0; i < num_output_fields; i++) {
368       CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
369       if (eval_mode == CEED_EVAL_NONE) {
370         CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[i], &size));
371         CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i + num_input_fields][e * Q * size]));
372       }
373     }
374 
375     // Input basis apply
376     CeedCallBackend(CeedOperatorInputBasis_Blocked(e, Q, qf_input_fields, op_input_fields, num_input_fields, blk_size, false, e_data_full, impl));
377 
378     // Q function
379     if (!impl->is_identity_qf) {
380       CeedCallBackend(CeedQFunctionApply(qf, Q * blk_size, impl->q_vecs_in, impl->q_vecs_out));
381     }
382 
383     // Output basis apply
384     CeedCallBackend(CeedOperatorOutputBasis_Blocked(e, Q, qf_output_fields, op_output_fields, blk_size, num_input_fields, num_output_fields, op,
385                                                     e_data_full, impl));
386   }
387 
388   // Output restriction
389   for (CeedInt i = 0; i < num_output_fields; i++) {
390     // Restore evec
391     CeedCallBackend(CeedVectorRestoreArray(impl->e_vecs_full[i + impl->num_inputs], &e_data_full[i + num_input_fields]));
392     // Get output vector
393     CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
394     // Active
395     if (vec == CEED_VECTOR_ACTIVE) vec = out_vec;
396     // Restrict
397     CeedCallBackend(
398         CeedElemRestrictionApply(impl->blk_restr[i + impl->num_inputs], CEED_TRANSPOSE, impl->e_vecs_full[i + impl->num_inputs], vec, request));
399   }
400 
401   // Restore input arrays
402   CeedCallBackend(CeedOperatorRestoreInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, false, e_data_full, impl));
403 
404   return CEED_ERROR_SUCCESS;
405 }
406 
407 //------------------------------------------------------------------------------
408 // Core code for assembling linear QFunction
409 //------------------------------------------------------------------------------
410 static inline int CeedOperatorLinearAssembleQFunctionCore_Blocked(CeedOperator op, bool build_objects, CeedVector *assembled,
411                                                                   CeedElemRestriction *rstr, CeedRequest *request) {
412   CeedOperator_Blocked *impl;
413   CeedCallBackend(CeedOperatorGetData(op, &impl));
414   const CeedInt blk_size = 8;
415   CeedInt       Q, num_input_fields, num_output_fields, num_elem, size;
416   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
417   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
418   CeedInt       num_blks = (num_elem / blk_size) + !!(num_elem % blk_size);
419   CeedQFunction qf;
420   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
421   CeedOperatorField *op_input_fields, *op_output_fields;
422   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
423   CeedQFunctionField *qf_input_fields, *qf_output_fields;
424   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
425   CeedVector  vec, l_vec = impl->qf_l_vec;
426   CeedInt     num_active_in = impl->num_active_in, num_active_out = impl->num_active_out;
427   CeedSize    q_size;
428   CeedVector *active_in = impl->qf_active_in;
429   CeedScalar *a, *tmp;
430   Ceed        ceed;
431   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
432   CeedScalar *e_data_full[2 * CEED_FIELD_MAX] = {0};
433 
434   // Setup
435   CeedCallBackend(CeedOperatorSetup_Blocked(op));
436 
437   // Check for identity
438   CeedCheck(!impl->is_identity_qf, ceed, CEED_ERROR_BACKEND, "Assembling identity QFunctions not supported");
439 
440   // Input Evecs and Restriction
441   CeedCallBackend(CeedOperatorSetupInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, NULL, true, e_data_full, impl, request));
442 
443   // Count number of active input fields
444   if (!num_active_in) {
445     for (CeedInt i = 0; i < num_input_fields; i++) {
446       // Get input vector
447       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
448       // Check if active input
449       if (vec == CEED_VECTOR_ACTIVE) {
450         CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &size));
451         CeedCallBackend(CeedVectorSetValue(impl->q_vecs_in[i], 0.0));
452         CeedCallBackend(CeedVectorGetArray(impl->q_vecs_in[i], CEED_MEM_HOST, &tmp));
453         CeedCallBackend(CeedRealloc(num_active_in + size, &active_in));
454         for (CeedInt field = 0; field < size; field++) {
455           q_size = (CeedSize)Q * blk_size;
456           CeedCallBackend(CeedVectorCreate(ceed, q_size, &active_in[num_active_in + field]));
457           CeedCallBackend(CeedVectorSetArray(active_in[num_active_in + field], CEED_MEM_HOST, CEED_USE_POINTER, &tmp[field * Q * blk_size]));
458         }
459         num_active_in += size;
460         CeedCallBackend(CeedVectorRestoreArray(impl->q_vecs_in[i], &tmp));
461       }
462     }
463     impl->num_active_in = num_active_in;
464     impl->qf_active_in  = active_in;
465   }
466 
467   // Count number of active output fields
468   if (!num_active_out) {
469     for (CeedInt i = 0; i < num_output_fields; i++) {
470       // Get output vector
471       CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
472       // Check if active output
473       if (vec == CEED_VECTOR_ACTIVE) {
474         CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[i], &size));
475         num_active_out += size;
476       }
477     }
478     impl->num_active_out = num_active_out;
479   }
480 
481   // Check sizes
482   CeedCheck(num_active_in > 0 && num_active_out > 0, ceed, CEED_ERROR_BACKEND, "Cannot assemble QFunction without active inputs and outputs");
483 
484   // Setup Lvec
485   if (!l_vec) {
486     CeedSize l_size = (CeedSize)num_blks * blk_size * Q * num_active_in * num_active_out;
487     CeedCallBackend(CeedVectorCreate(ceed, l_size, &l_vec));
488     impl->qf_l_vec = l_vec;
489   }
490   CeedCallBackend(CeedVectorGetArrayWrite(l_vec, CEED_MEM_HOST, &a));
491 
492   // Build objects if needed
493   CeedInt strides[3] = {1, Q, num_active_in * num_active_out * Q};
494   if (build_objects) {
495     // Create output restriction
496     CeedCallBackend(CeedElemRestrictionCreateStrided(ceed, num_elem, Q, num_active_in * num_active_out, num_active_in * num_active_out * num_elem * Q,
497                                                      strides, rstr));
498     // Create assembled vector
499     CeedSize l_size = (CeedSize)num_elem * Q * num_active_in * num_active_out;
500     CeedCallBackend(CeedVectorCreate(ceed, l_size, assembled));
501   }
502 
503   // Loop through elements
504   for (CeedInt e = 0; e < num_blks * blk_size; e += blk_size) {
505     // Input basis apply
506     CeedCallBackend(CeedOperatorInputBasis_Blocked(e, Q, qf_input_fields, op_input_fields, num_input_fields, blk_size, true, e_data_full, impl));
507 
508     // Assemble QFunction
509     for (CeedInt in = 0; in < num_active_in; in++) {
510       // Set Inputs
511       CeedCallBackend(CeedVectorSetValue(active_in[in], 1.0));
512       if (num_active_in > 1) {
513         CeedCallBackend(CeedVectorSetValue(active_in[(in + num_active_in - 1) % num_active_in], 0.0));
514       }
515       // Set Outputs
516       for (CeedInt out = 0; out < num_output_fields; out++) {
517         // Get output vector
518         CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
519         // Check if active output
520         if (vec == CEED_VECTOR_ACTIVE) {
521           CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[out], CEED_MEM_HOST, CEED_USE_POINTER, a));
522           CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[out], &size));
523           a += size * Q * blk_size;  // Advance the pointer by the size of the output
524         }
525       }
526       // Apply QFunction
527       CeedCallBackend(CeedQFunctionApply(qf, Q * blk_size, impl->q_vecs_in, impl->q_vecs_out));
528     }
529   }
530 
531   // Un-set output Qvecs to prevent accidental overwrite of Assembled
532   for (CeedInt out = 0; out < num_output_fields; out++) {
533     // Get output vector
534     CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
535     // Check if active output
536     if (vec == CEED_VECTOR_ACTIVE) {
537       CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[out], CEED_MEM_HOST, CEED_COPY_VALUES, NULL));
538     }
539   }
540 
541   // Restore input arrays
542   CeedCallBackend(CeedOperatorRestoreInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, true, e_data_full, impl));
543 
544   // Output blocked restriction
545   CeedCallBackend(CeedVectorRestoreArray(l_vec, &a));
546   CeedCallBackend(CeedVectorSetValue(*assembled, 0.0));
547   CeedElemRestriction blk_rstr = impl->qf_blk_rstr;
548   if (!impl->qf_blk_rstr) {
549     CeedCallBackend(CeedElemRestrictionCreateBlockedStrided(ceed, num_elem, Q, blk_size, num_active_in * num_active_out,
550                                                             num_active_in * num_active_out * num_elem * Q, strides, &blk_rstr));
551     impl->qf_blk_rstr = blk_rstr;
552   }
553   CeedCallBackend(CeedElemRestrictionApply(blk_rstr, CEED_TRANSPOSE, l_vec, *assembled, request));
554 
555   return CEED_ERROR_SUCCESS;
556 }
557 
558 //------------------------------------------------------------------------------
559 // Assemble Linear QFunction
560 //------------------------------------------------------------------------------
561 static int CeedOperatorLinearAssembleQFunction_Blocked(CeedOperator op, CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request) {
562   return CeedOperatorLinearAssembleQFunctionCore_Blocked(op, true, assembled, rstr, request);
563 }
564 
565 //------------------------------------------------------------------------------
566 // Update Assembled Linear QFunction
567 //------------------------------------------------------------------------------
568 static int CeedOperatorLinearAssembleQFunctionUpdate_Blocked(CeedOperator op, CeedVector assembled, CeedElemRestriction rstr, CeedRequest *request) {
569   return CeedOperatorLinearAssembleQFunctionCore_Blocked(op, false, &assembled, &rstr, request);
570 }
571 
572 //------------------------------------------------------------------------------
573 // Operator Destroy
574 //------------------------------------------------------------------------------
575 static int CeedOperatorDestroy_Blocked(CeedOperator op) {
576   CeedOperator_Blocked *impl;
577   CeedCallBackend(CeedOperatorGetData(op, &impl));
578 
579   for (CeedInt i = 0; i < impl->num_inputs + impl->num_outputs; i++) {
580     CeedCallBackend(CeedElemRestrictionDestroy(&impl->blk_restr[i]));
581     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_full[i]));
582   }
583   CeedCallBackend(CeedFree(&impl->blk_restr));
584   CeedCallBackend(CeedFree(&impl->e_vecs_full));
585   CeedCallBackend(CeedFree(&impl->input_states));
586 
587   for (CeedInt i = 0; i < impl->num_inputs; i++) {
588     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_in[i]));
589     CeedCallBackend(CeedVectorDestroy(&impl->q_vecs_in[i]));
590   }
591   CeedCallBackend(CeedFree(&impl->e_vecs_in));
592   CeedCallBackend(CeedFree(&impl->q_vecs_in));
593 
594   for (CeedInt i = 0; i < impl->num_outputs; i++) {
595     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_out[i]));
596     CeedCallBackend(CeedVectorDestroy(&impl->q_vecs_out[i]));
597   }
598   CeedCallBackend(CeedFree(&impl->e_vecs_out));
599   CeedCallBackend(CeedFree(&impl->q_vecs_out));
600 
601   // QFunction assembly data
602   for (CeedInt i = 0; i < impl->num_active_in; i++) {
603     CeedCallBackend(CeedVectorDestroy(&impl->qf_active_in[i]));
604   }
605   CeedCallBackend(CeedFree(&impl->qf_active_in));
606   CeedCallBackend(CeedVectorDestroy(&impl->qf_l_vec));
607   CeedCallBackend(CeedElemRestrictionDestroy(&impl->qf_blk_rstr));
608 
609   CeedCallBackend(CeedFree(&impl));
610   return CEED_ERROR_SUCCESS;
611 }
612 
613 //------------------------------------------------------------------------------
614 // Operator Create
615 //------------------------------------------------------------------------------
616 int CeedOperatorCreate_Blocked(CeedOperator op) {
617   Ceed ceed;
618   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
619   CeedOperator_Blocked *impl;
620 
621   CeedCallBackend(CeedCalloc(1, &impl));
622   CeedCallBackend(CeedOperatorSetData(op, impl));
623 
624   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunction", CeedOperatorLinearAssembleQFunction_Blocked));
625   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunctionUpdate", CeedOperatorLinearAssembleQFunctionUpdate_Blocked));
626   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "ApplyAdd", CeedOperatorApplyAdd_Blocked));
627   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "Destroy", CeedOperatorDestroy_Blocked));
628   return CEED_ERROR_SUCCESS;
629 }
630 
631 //------------------------------------------------------------------------------
632