xref: /libCEED/backends/blocked/ceed-blocked-operator.c (revision 60582ab9b3ef171ccadb118aa08c7babfe040fa4)
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 
53       bool strided;
54       CeedCallBackend(CeedElemRestrictionIsStrided(r, &strided));
55       if (strided) {
56         CeedInt strides[3];
57         CeedCallBackend(CeedElemRestrictionGetStrides(r, &strides));
58         CeedCallBackend(
59             CeedElemRestrictionCreateBlockedStrided(ceed, num_elem, elem_size, blk_size, num_comp, l_size, strides, &blk_restr[i + start_e]));
60       } else {
61         const CeedInt *offsets = NULL;
62         CeedCallBackend(CeedElemRestrictionGetOffsets(r, CEED_MEM_HOST, &offsets));
63         CeedCallBackend(CeedElemRestrictionGetCompStride(r, &comp_stride));
64         CeedCallBackend(CeedElemRestrictionCreateBlocked(ceed, num_elem, elem_size, blk_size, num_comp, comp_stride, l_size, CEED_MEM_HOST,
65                                                          CEED_COPY_VALUES, offsets, &blk_restr[i + start_e]));
66         CeedCallBackend(CeedElemRestrictionRestoreOffsets(r, &offsets));
67       }
68       CeedCallBackend(CeedElemRestrictionCreateVector(blk_restr[i + start_e], NULL, &e_vecs_full[i + start_e]));
69     }
70 
71     switch (eval_mode) {
72       case CEED_EVAL_NONE:
73         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
74         q_size = (CeedSize)Q * size * blk_size;
75         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
76         break;
77       case CEED_EVAL_INTERP:
78       case CEED_EVAL_GRAD:
79       case CEED_EVAL_DIV:
80       case CEED_EVAL_CURL:
81         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
82         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
83         CeedCallBackend(CeedBasisGetNumNodes(basis, &P));
84         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
85         e_size = (CeedSize)P * num_comp * blk_size;
86         CeedCallBackend(CeedVectorCreate(ceed, e_size, &e_vecs[i]));
87         q_size = (CeedSize)Q * size * blk_size;
88         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
89         break;
90       case CEED_EVAL_WEIGHT:  // Only on input fields
91         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
92         q_size = (CeedSize)Q * blk_size;
93         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
94         CeedCallBackend(CeedBasisApply(basis, blk_size, CEED_NOTRANSPOSE, CEED_EVAL_WEIGHT, CEED_VECTOR_NONE, q_vecs[i]));
95         break;
96     }
97   }
98   return CEED_ERROR_SUCCESS;
99 }
100 
101 //------------------------------------------------------------------------------
102 // Setup Operator
103 //------------------------------------------------------------------------------
104 static int CeedOperatorSetup_Blocked(CeedOperator op) {
105   bool is_setup_done;
106   CeedCallBackend(CeedOperatorIsSetupDone(op, &is_setup_done));
107   if (is_setup_done) return CEED_ERROR_SUCCESS;
108   Ceed ceed;
109   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
110   CeedOperator_Blocked *impl;
111   CeedCallBackend(CeedOperatorGetData(op, &impl));
112   CeedQFunction qf;
113   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
114   CeedInt Q, num_input_fields, num_output_fields;
115   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
116   CeedCallBackend(CeedQFunctionIsIdentity(qf, &impl->is_identity_qf));
117   CeedOperatorField *op_input_fields, *op_output_fields;
118   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
119   CeedQFunctionField *qf_input_fields, *qf_output_fields;
120   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
121 
122   // Allocate
123   CeedCallBackend(CeedCalloc(num_input_fields + num_output_fields, &impl->blk_restr));
124   CeedCallBackend(CeedCalloc(num_input_fields + num_output_fields, &impl->e_vecs_full));
125 
126   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->input_states));
127   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_in));
128   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_out));
129   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_in));
130   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_out));
131 
132   impl->num_inputs  = num_input_fields;
133   impl->num_outputs = num_output_fields;
134 
135   // Set up infield and outfield pointer arrays
136   // Infields
137   CeedCallBackend(
138       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));
139   // Outfields
140   CeedCallBackend(CeedOperatorSetupFields_Blocked(qf, op, false, impl->blk_restr, impl->e_vecs_full, impl->e_vecs_out, impl->q_vecs_out,
141                                                   num_input_fields, num_output_fields, Q));
142 
143   // Identity QFunctions
144   if (impl->is_identity_qf) {
145     CeedEvalMode        in_mode, out_mode;
146     CeedQFunctionField *in_fields, *out_fields;
147     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &in_fields, NULL, &out_fields));
148     CeedCallBackend(CeedQFunctionFieldGetEvalMode(in_fields[0], &in_mode));
149     CeedCallBackend(CeedQFunctionFieldGetEvalMode(out_fields[0], &out_mode));
150 
151     if (in_mode == CEED_EVAL_NONE && out_mode == CEED_EVAL_NONE) {
152       impl->is_identity_restr_op = true;
153     } else {
154       CeedCallBackend(CeedVectorDestroy(&impl->q_vecs_out[0]));
155       impl->q_vecs_out[0] = impl->q_vecs_in[0];
156       CeedCallBackend(CeedVectorAddReference(impl->q_vecs_in[0]));
157     }
158   }
159 
160   CeedCallBackend(CeedOperatorSetSetupDone(op));
161 
162   return CEED_ERROR_SUCCESS;
163 }
164 
165 //------------------------------------------------------------------------------
166 // Setup Operator Inputs
167 //------------------------------------------------------------------------------
168 static inline int CeedOperatorSetupInputs_Blocked(CeedInt num_input_fields, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
169                                                   CeedVector in_vec, bool skip_active, CeedScalar *e_data_full[2 * CEED_FIELD_MAX],
170                                                   CeedOperator_Blocked *impl, CeedRequest *request) {
171   CeedEvalMode eval_mode;
172   CeedVector   vec;
173   uint64_t     state;
174 
175   for (CeedInt i = 0; i < num_input_fields; i++) {
176     // Get input vector
177     CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
178     if (vec == CEED_VECTOR_ACTIVE) {
179       if (skip_active) continue;
180       else vec = in_vec;
181     }
182 
183     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
184     if (eval_mode == CEED_EVAL_WEIGHT) {  // Skip
185     } else {
186       // Restrict
187       CeedCallBackend(CeedVectorGetState(vec, &state));
188       if (state != impl->input_states[i] || vec == in_vec) {
189         CeedCallBackend(CeedElemRestrictionApply(impl->blk_restr[i], CEED_NOTRANSPOSE, vec, impl->e_vecs_full[i], request));
190         impl->input_states[i] = state;
191       }
192       // Get evec
193       CeedCallBackend(CeedVectorGetArrayRead(impl->e_vecs_full[i], CEED_MEM_HOST, (const CeedScalar **)&e_data_full[i]));
194     }
195   }
196   return CEED_ERROR_SUCCESS;
197 }
198 
199 //------------------------------------------------------------------------------
200 // Input Basis Action
201 //------------------------------------------------------------------------------
202 static inline int CeedOperatorInputBasis_Blocked(CeedInt e, CeedInt Q, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
203                                                  CeedInt num_input_fields, CeedInt blk_size, bool skip_active,
204                                                  CeedScalar *e_data_full[2 * CEED_FIELD_MAX], CeedOperator_Blocked *impl) {
205   CeedInt             elem_size, size, num_comp;
206   CeedElemRestriction elem_restr;
207   CeedEvalMode        eval_mode;
208   CeedBasis           basis;
209 
210   for (CeedInt i = 0; i < num_input_fields; i++) {
211     // Skip active input
212     if (skip_active) {
213       CeedVector vec;
214       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
215       if (vec == CEED_VECTOR_ACTIVE) continue;
216     }
217 
218     // Get elem_size, eval_mode, size
219     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_input_fields[i], &elem_restr));
220     CeedCallBackend(CeedElemRestrictionGetElementSize(elem_restr, &elem_size));
221     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
222     CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &size));
223     // Basis action
224     switch (eval_mode) {
225       case CEED_EVAL_NONE:
226         CeedCallBackend(CeedVectorSetArray(impl->q_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i][e * Q * size]));
227         break;
228       case CEED_EVAL_INTERP:
229       case CEED_EVAL_GRAD:
230       case CEED_EVAL_DIV:
231       case CEED_EVAL_CURL:
232         CeedCallBackend(CeedOperatorFieldGetBasis(op_input_fields[i], &basis));
233         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
234         CeedCallBackend(CeedVectorSetArray(impl->e_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i][e * elem_size * num_comp]));
235         CeedCallBackend(CeedBasisApply(basis, blk_size, CEED_NOTRANSPOSE, eval_mode, impl->e_vecs_in[i], impl->q_vecs_in[i]));
236         break;
237       case CEED_EVAL_WEIGHT:
238         break;  // No action
239     }
240   }
241   return CEED_ERROR_SUCCESS;
242 }
243 
244 //------------------------------------------------------------------------------
245 // Output Basis Action
246 //------------------------------------------------------------------------------
247 static inline int CeedOperatorOutputBasis_Blocked(CeedInt e, CeedInt Q, CeedQFunctionField *qf_output_fields, CeedOperatorField *op_output_fields,
248                                                   CeedInt blk_size, CeedInt num_input_fields, CeedInt num_output_fields, CeedOperator op,
249                                                   CeedScalar *e_data_full[2 * CEED_FIELD_MAX], CeedOperator_Blocked *impl) {
250   CeedInt             elem_size, num_comp;
251   CeedElemRestriction elem_restr;
252   CeedEvalMode        eval_mode;
253   CeedBasis           basis;
254 
255   for (CeedInt i = 0; i < num_output_fields; i++) {
256     // Get elem_size, eval_mode, size
257     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_output_fields[i], &elem_restr));
258     CeedCallBackend(CeedElemRestrictionGetElementSize(elem_restr, &elem_size));
259     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
260     // Basis action
261     switch (eval_mode) {
262       case CEED_EVAL_NONE:
263         break;  // No action
264       case CEED_EVAL_INTERP:
265       case CEED_EVAL_GRAD:
266       case CEED_EVAL_DIV:
267       case CEED_EVAL_CURL:
268         CeedCallBackend(CeedOperatorFieldGetBasis(op_output_fields[i], &basis));
269         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
270         CeedCallBackend(
271             CeedVectorSetArray(impl->e_vecs_out[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i + num_input_fields][e * elem_size * num_comp]));
272         CeedCallBackend(CeedBasisApply(basis, blk_size, CEED_TRANSPOSE, eval_mode, impl->q_vecs_out[i], impl->e_vecs_out[i]));
273         break;
274       // LCOV_EXCL_START
275       case CEED_EVAL_WEIGHT: {
276         Ceed ceed;
277         CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
278         return CeedError(ceed, CEED_ERROR_BACKEND, "CEED_EVAL_WEIGHT cannot be an output evaluation mode");
279         // LCOV_EXCL_STOP
280       }
281     }
282   }
283   return CEED_ERROR_SUCCESS;
284 }
285 
286 //------------------------------------------------------------------------------
287 // Restore Input Vectors
288 //------------------------------------------------------------------------------
289 static inline int CeedOperatorRestoreInputs_Blocked(CeedInt num_input_fields, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
290                                                     bool skip_active, CeedScalar *e_data_full[2 * CEED_FIELD_MAX], CeedOperator_Blocked *impl) {
291   CeedEvalMode eval_mode;
292 
293   for (CeedInt i = 0; i < num_input_fields; i++) {
294     // Skip active inputs
295     if (skip_active) {
296       CeedVector vec;
297       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
298       if (vec == CEED_VECTOR_ACTIVE) continue;
299     }
300     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
301     if (eval_mode == CEED_EVAL_WEIGHT) {  // Skip
302     } else {
303       CeedCallBackend(CeedVectorRestoreArrayRead(impl->e_vecs_full[i], (const CeedScalar **)&e_data_full[i]));
304     }
305   }
306   return CEED_ERROR_SUCCESS;
307 }
308 
309 //------------------------------------------------------------------------------
310 // Operator Apply
311 //------------------------------------------------------------------------------
312 static int CeedOperatorApplyAdd_Blocked(CeedOperator op, CeedVector in_vec, CeedVector out_vec, CeedRequest *request) {
313   CeedOperator_Blocked *impl;
314   CeedCallBackend(CeedOperatorGetData(op, &impl));
315   const CeedInt blk_size = 8;
316   CeedInt       Q, num_input_fields, num_output_fields, num_elem, size;
317   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
318   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
319   CeedInt       num_blks = (num_elem / blk_size) + !!(num_elem % blk_size);
320   CeedQFunction qf;
321   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
322   CeedOperatorField *op_input_fields, *op_output_fields;
323   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
324   CeedQFunctionField *qf_input_fields, *qf_output_fields;
325   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
326   CeedEvalMode eval_mode;
327   CeedVector   vec;
328   CeedScalar  *e_data_full[2 * CEED_FIELD_MAX] = {0};
329 
330   // Setup
331   CeedCallBackend(CeedOperatorSetup_Blocked(op));
332 
333   // Restriction only operator
334   if (impl->is_identity_restr_op) {
335     CeedCallBackend(CeedElemRestrictionApply(impl->blk_restr[0], CEED_NOTRANSPOSE, in_vec, impl->e_vecs_full[0], request));
336     CeedCallBackend(CeedElemRestrictionApply(impl->blk_restr[1], CEED_TRANSPOSE, impl->e_vecs_full[0], out_vec, request));
337     return CEED_ERROR_SUCCESS;
338   }
339 
340   // Input Evecs and Restriction
341   CeedCallBackend(CeedOperatorSetupInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, in_vec, false, e_data_full, impl, request));
342 
343   // Output Evecs
344   for (CeedInt i = 0; i < num_output_fields; i++) {
345     CeedCallBackend(CeedVectorGetArrayWrite(impl->e_vecs_full[i + impl->num_inputs], CEED_MEM_HOST, &e_data_full[i + num_input_fields]));
346   }
347 
348   // Loop through elements
349   for (CeedInt e = 0; e < num_blks * blk_size; e += blk_size) {
350     // Output pointers
351     for (CeedInt i = 0; i < num_output_fields; i++) {
352       CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
353       if (eval_mode == CEED_EVAL_NONE) {
354         CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[i], &size));
355         CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i + num_input_fields][e * Q * size]));
356       }
357     }
358 
359     // Input basis apply
360     CeedCallBackend(CeedOperatorInputBasis_Blocked(e, Q, qf_input_fields, op_input_fields, num_input_fields, blk_size, false, e_data_full, impl));
361 
362     // Q function
363     if (!impl->is_identity_qf) {
364       CeedCallBackend(CeedQFunctionApply(qf, Q * blk_size, impl->q_vecs_in, impl->q_vecs_out));
365     }
366 
367     // Output basis apply
368     CeedCallBackend(CeedOperatorOutputBasis_Blocked(e, Q, qf_output_fields, op_output_fields, blk_size, num_input_fields, num_output_fields, op,
369                                                     e_data_full, impl));
370   }
371 
372   // Output restriction
373   for (CeedInt i = 0; i < num_output_fields; i++) {
374     // Restore evec
375     CeedCallBackend(CeedVectorRestoreArray(impl->e_vecs_full[i + impl->num_inputs], &e_data_full[i + num_input_fields]));
376     // Get output vector
377     CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
378     // Active
379     if (vec == CEED_VECTOR_ACTIVE) vec = out_vec;
380     // Restrict
381     CeedCallBackend(
382         CeedElemRestrictionApply(impl->blk_restr[i + impl->num_inputs], CEED_TRANSPOSE, impl->e_vecs_full[i + impl->num_inputs], vec, request));
383   }
384 
385   // Restore input arrays
386   CeedCallBackend(CeedOperatorRestoreInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, false, e_data_full, impl));
387 
388   return CEED_ERROR_SUCCESS;
389 }
390 
391 //------------------------------------------------------------------------------
392 // Core code for assembling linear QFunction
393 //------------------------------------------------------------------------------
394 static inline int CeedOperatorLinearAssembleQFunctionCore_Blocked(CeedOperator op, bool build_objects, CeedVector *assembled,
395                                                                   CeedElemRestriction *rstr, CeedRequest *request) {
396   CeedOperator_Blocked *impl;
397   CeedCallBackend(CeedOperatorGetData(op, &impl));
398   const CeedInt blk_size = 8;
399   CeedInt       Q, num_input_fields, num_output_fields, num_elem, size;
400   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
401   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
402   CeedInt       num_blks = (num_elem / blk_size) + !!(num_elem % blk_size);
403   CeedQFunction qf;
404   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
405   CeedOperatorField *op_input_fields, *op_output_fields;
406   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
407   CeedQFunctionField *qf_input_fields, *qf_output_fields;
408   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
409   CeedVector  vec, l_vec = impl->qf_l_vec;
410   CeedInt     num_active_in = impl->num_active_in, num_active_out = impl->num_active_out;
411   CeedSize    q_size;
412   CeedVector *active_in = impl->qf_active_in;
413   CeedScalar *a, *tmp;
414   Ceed        ceed;
415   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
416   CeedScalar *e_data_full[2 * CEED_FIELD_MAX] = {0};
417 
418   // Setup
419   CeedCallBackend(CeedOperatorSetup_Blocked(op));
420 
421   // Check for identity
422   CeedCheck(!impl->is_identity_qf, ceed, CEED_ERROR_BACKEND, "Assembling identity QFunctions not supported");
423 
424   // Input Evecs and Restriction
425   CeedCallBackend(CeedOperatorSetupInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, NULL, true, e_data_full, impl, request));
426 
427   // Count number of active input fields
428   if (!num_active_in) {
429     for (CeedInt i = 0; i < num_input_fields; i++) {
430       // Get input vector
431       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
432       // Check if active input
433       if (vec == CEED_VECTOR_ACTIVE) {
434         CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &size));
435         CeedCallBackend(CeedVectorSetValue(impl->q_vecs_in[i], 0.0));
436         CeedCallBackend(CeedVectorGetArray(impl->q_vecs_in[i], CEED_MEM_HOST, &tmp));
437         CeedCallBackend(CeedRealloc(num_active_in + size, &active_in));
438         for (CeedInt field = 0; field < size; field++) {
439           q_size = (CeedSize)Q * blk_size;
440           CeedCallBackend(CeedVectorCreate(ceed, q_size, &active_in[num_active_in + field]));
441           CeedCallBackend(CeedVectorSetArray(active_in[num_active_in + field], CEED_MEM_HOST, CEED_USE_POINTER, &tmp[field * Q * blk_size]));
442         }
443         num_active_in += size;
444         CeedCallBackend(CeedVectorRestoreArray(impl->q_vecs_in[i], &tmp));
445       }
446     }
447     impl->num_active_in = num_active_in;
448     impl->qf_active_in  = active_in;
449   }
450 
451   // Count number of active output fields
452   if (!num_active_out) {
453     for (CeedInt i = 0; i < num_output_fields; i++) {
454       // Get output vector
455       CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
456       // Check if active output
457       if (vec == CEED_VECTOR_ACTIVE) {
458         CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[i], &size));
459         num_active_out += size;
460       }
461     }
462     impl->num_active_out = num_active_out;
463   }
464 
465   // Check sizes
466   CeedCheck(num_active_in > 0 && num_active_out > 0, ceed, CEED_ERROR_BACKEND, "Cannot assemble QFunction without active inputs and outputs");
467 
468   // Setup Lvec
469   if (!l_vec) {
470     CeedSize l_size = (CeedSize)num_blks * blk_size * Q * num_active_in * num_active_out;
471     CeedCallBackend(CeedVectorCreate(ceed, l_size, &l_vec));
472     impl->qf_l_vec = l_vec;
473   }
474   CeedCallBackend(CeedVectorGetArrayWrite(l_vec, CEED_MEM_HOST, &a));
475 
476   // Build objects if needed
477   CeedInt strides[3] = {1, Q, num_active_in * num_active_out * Q};
478   if (build_objects) {
479     // Create output restriction
480     CeedCallBackend(CeedElemRestrictionCreateStrided(ceed, num_elem, Q, num_active_in * num_active_out, num_active_in * num_active_out * num_elem * Q,
481                                                      strides, rstr));
482     // Create assembled vector
483     CeedSize l_size = (CeedSize)num_elem * Q * num_active_in * num_active_out;
484     CeedCallBackend(CeedVectorCreate(ceed, l_size, assembled));
485   }
486 
487   // Loop through elements
488   for (CeedInt e = 0; e < num_blks * blk_size; e += blk_size) {
489     // Input basis apply
490     CeedCallBackend(CeedOperatorInputBasis_Blocked(e, Q, qf_input_fields, op_input_fields, num_input_fields, blk_size, true, e_data_full, impl));
491 
492     // Assemble QFunction
493     for (CeedInt in = 0; in < num_active_in; in++) {
494       // Set Inputs
495       CeedCallBackend(CeedVectorSetValue(active_in[in], 1.0));
496       if (num_active_in > 1) {
497         CeedCallBackend(CeedVectorSetValue(active_in[(in + num_active_in - 1) % num_active_in], 0.0));
498       }
499       // Set Outputs
500       for (CeedInt out = 0; out < num_output_fields; out++) {
501         // Get output vector
502         CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
503         // Check if active output
504         if (vec == CEED_VECTOR_ACTIVE) {
505           CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[out], CEED_MEM_HOST, CEED_USE_POINTER, a));
506           CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[out], &size));
507           a += size * Q * blk_size;  // Advance the pointer by the size of the output
508         }
509       }
510       // Apply QFunction
511       CeedCallBackend(CeedQFunctionApply(qf, Q * blk_size, impl->q_vecs_in, impl->q_vecs_out));
512     }
513   }
514 
515   // Un-set output Qvecs to prevent accidental overwrite of Assembled
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_COPY_VALUES, NULL));
522     }
523   }
524 
525   // Restore input arrays
526   CeedCallBackend(CeedOperatorRestoreInputs_Blocked(num_input_fields, qf_input_fields, op_input_fields, true, e_data_full, impl));
527 
528   // Output blocked restriction
529   CeedCallBackend(CeedVectorRestoreArray(l_vec, &a));
530   CeedCallBackend(CeedVectorSetValue(*assembled, 0.0));
531   CeedElemRestriction blk_rstr = impl->qf_blk_rstr;
532   if (!impl->qf_blk_rstr) {
533     CeedCallBackend(CeedElemRestrictionCreateBlockedStrided(ceed, num_elem, Q, blk_size, num_active_in * num_active_out,
534                                                             num_active_in * num_active_out * num_elem * Q, strides, &blk_rstr));
535     impl->qf_blk_rstr = blk_rstr;
536   }
537   CeedCallBackend(CeedElemRestrictionApply(blk_rstr, CEED_TRANSPOSE, l_vec, *assembled, request));
538 
539   return CEED_ERROR_SUCCESS;
540 }
541 
542 //------------------------------------------------------------------------------
543 // Assemble Linear QFunction
544 //------------------------------------------------------------------------------
545 static int CeedOperatorLinearAssembleQFunction_Blocked(CeedOperator op, CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request) {
546   return CeedOperatorLinearAssembleQFunctionCore_Blocked(op, true, assembled, rstr, request);
547 }
548 
549 //------------------------------------------------------------------------------
550 // Update Assembled Linear QFunction
551 //------------------------------------------------------------------------------
552 static int CeedOperatorLinearAssembleQFunctionUpdate_Blocked(CeedOperator op, CeedVector assembled, CeedElemRestriction rstr, CeedRequest *request) {
553   return CeedOperatorLinearAssembleQFunctionCore_Blocked(op, false, &assembled, &rstr, request);
554 }
555 
556 //------------------------------------------------------------------------------
557 // Operator Destroy
558 //------------------------------------------------------------------------------
559 static int CeedOperatorDestroy_Blocked(CeedOperator op) {
560   CeedOperator_Blocked *impl;
561   CeedCallBackend(CeedOperatorGetData(op, &impl));
562 
563   for (CeedInt i = 0; i < impl->num_inputs + impl->num_outputs; i++) {
564     CeedCallBackend(CeedElemRestrictionDestroy(&impl->blk_restr[i]));
565     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_full[i]));
566   }
567   CeedCallBackend(CeedFree(&impl->blk_restr));
568   CeedCallBackend(CeedFree(&impl->e_vecs_full));
569   CeedCallBackend(CeedFree(&impl->input_states));
570 
571   for (CeedInt i = 0; i < impl->num_inputs; i++) {
572     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_in[i]));
573     CeedCallBackend(CeedVectorDestroy(&impl->q_vecs_in[i]));
574   }
575   CeedCallBackend(CeedFree(&impl->e_vecs_in));
576   CeedCallBackend(CeedFree(&impl->q_vecs_in));
577 
578   for (CeedInt i = 0; i < impl->num_outputs; i++) {
579     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_out[i]));
580     CeedCallBackend(CeedVectorDestroy(&impl->q_vecs_out[i]));
581   }
582   CeedCallBackend(CeedFree(&impl->e_vecs_out));
583   CeedCallBackend(CeedFree(&impl->q_vecs_out));
584 
585   // QFunction assembly data
586   for (CeedInt i = 0; i < impl->num_active_in; i++) {
587     CeedCallBackend(CeedVectorDestroy(&impl->qf_active_in[i]));
588   }
589   CeedCallBackend(CeedFree(&impl->qf_active_in));
590   CeedCallBackend(CeedVectorDestroy(&impl->qf_l_vec));
591   CeedCallBackend(CeedElemRestrictionDestroy(&impl->qf_blk_rstr));
592 
593   CeedCallBackend(CeedFree(&impl));
594   return CEED_ERROR_SUCCESS;
595 }
596 
597 //------------------------------------------------------------------------------
598 // Operator Create
599 //------------------------------------------------------------------------------
600 int CeedOperatorCreate_Blocked(CeedOperator op) {
601   Ceed ceed;
602   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
603   CeedOperator_Blocked *impl;
604 
605   CeedCallBackend(CeedCalloc(1, &impl));
606   CeedCallBackend(CeedOperatorSetData(op, impl));
607 
608   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunction", CeedOperatorLinearAssembleQFunction_Blocked));
609   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunctionUpdate", CeedOperatorLinearAssembleQFunctionUpdate_Blocked));
610   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "ApplyAdd", CeedOperatorApplyAdd_Blocked));
611   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "Destroy", CeedOperatorDestroy_Blocked));
612   return CEED_ERROR_SUCCESS;
613 }
614 
615 //------------------------------------------------------------------------------
616