xref: /libCEED/backends/opt/ceed-opt-operator.c (revision edf0491998c1d524f2f70fdd683669b8904cb3b6)
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 <stdint.h>
12 #include <string.h>
13 
14 #include "ceed-opt.h"
15 
16 //------------------------------------------------------------------------------
17 // Setup Input/Output Fields
18 //------------------------------------------------------------------------------
19 static int CeedOperatorSetupFields_Opt(CeedQFunction qf, CeedOperator op, bool is_input, const CeedInt blk_size, CeedElemRestriction *blk_restr,
20                                        CeedVector *e_vecs_full, CeedVector *e_vecs, CeedVector *q_vecs, CeedInt start_e, CeedInt num_fields,
21                                        CeedInt Q) {
22   CeedInt  num_comp, size, P;
23   CeedSize e_size, q_size;
24   Ceed     ceed;
25   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
26   CeedBasis           basis;
27   CeedElemRestriction r;
28   CeedOperatorField  *op_fields;
29   CeedQFunctionField *qf_fields;
30   if (is_input) {
31     CeedCallBackend(CeedOperatorGetFields(op, NULL, &op_fields, NULL, NULL));
32     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_fields, NULL, NULL));
33   } else {
34     CeedCallBackend(CeedOperatorGetFields(op, NULL, NULL, NULL, &op_fields));
35     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, NULL, NULL, &qf_fields));
36   }
37 
38   // Loop over fields
39   for (CeedInt i = 0; i < num_fields; i++) {
40     CeedEvalMode eval_mode;
41     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_fields[i], &eval_mode));
42 
43     if (eval_mode != CEED_EVAL_WEIGHT) {
44       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[i], &r));
45       Ceed ceed;
46       CeedCallBackend(CeedElemRestrictionGetCeed(r, &ceed));
47       CeedSize l_size;
48       CeedInt  num_elem, elem_size, comp_stride;
49       CeedCallBackend(CeedElemRestrictionGetNumElements(r, &num_elem));
50       CeedCallBackend(CeedElemRestrictionGetElementSize(r, &elem_size));
51       CeedCallBackend(CeedElemRestrictionGetLVectorSize(r, &l_size));
52       CeedCallBackend(CeedElemRestrictionGetNumComponents(r, &num_comp));
53 
54       bool strided;
55       CeedCallBackend(CeedElemRestrictionIsStrided(r, &strided));
56       if (strided) {
57         CeedInt strides[3];
58         CeedCallBackend(CeedElemRestrictionGetStrides(r, &strides));
59         CeedCallBackend(
60             CeedElemRestrictionCreateBlockedStrided(ceed, num_elem, elem_size, blk_size, num_comp, l_size, strides, &blk_restr[i + start_e]));
61       } else {
62         const CeedInt *offsets = NULL;
63         CeedCallBackend(CeedElemRestrictionGetOffsets(r, CEED_MEM_HOST, &offsets));
64         CeedCallBackend(CeedElemRestrictionGetCompStride(r, &comp_stride));
65         CeedCallBackend(CeedElemRestrictionCreateBlocked(ceed, num_elem, elem_size, blk_size, num_comp, comp_stride, l_size, CEED_MEM_HOST,
66                                                          CEED_COPY_VALUES, offsets, &blk_restr[i + start_e]));
67         CeedCallBackend(CeedElemRestrictionRestoreOffsets(r, &offsets));
68       }
69       CeedCallBackend(CeedElemRestrictionCreateVector(blk_restr[i + start_e], NULL, &e_vecs_full[i + start_e]));
70     }
71 
72     switch (eval_mode) {
73       case CEED_EVAL_NONE:
74         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
75         e_size = (CeedSize)Q * size * blk_size;
76         CeedCallBackend(CeedVectorCreate(ceed, e_size, &e_vecs[i]));
77         q_size = (CeedSize)Q * size * blk_size;
78         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
79         break;
80       case CEED_EVAL_INTERP:
81       case CEED_EVAL_GRAD:
82       case CEED_EVAL_DIV:
83       case CEED_EVAL_CURL:
84         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
85         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
86         CeedCallBackend(CeedBasisGetNumNodes(basis, &P));
87         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
88         e_size = (CeedSize)P * num_comp * blk_size;
89         CeedCallBackend(CeedVectorCreate(ceed, e_size, &e_vecs[i]));
90         q_size = (CeedSize)Q * size * blk_size;
91         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
92         break;
93       case CEED_EVAL_WEIGHT:  // Only on input fields
94         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
95         q_size = (CeedSize)Q * blk_size;
96         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
97         CeedCallBackend(CeedBasisApply(basis, blk_size, CEED_NOTRANSPOSE, CEED_EVAL_WEIGHT, CEED_VECTOR_NONE, q_vecs[i]));
98         break;
99     }
100     if (is_input && !!e_vecs[i]) {
101       CeedCallBackend(CeedVectorSetArray(e_vecs[i], CEED_MEM_HOST, CEED_COPY_VALUES, NULL));
102     }
103   }
104   return CEED_ERROR_SUCCESS;
105 }
106 
107 //------------------------------------------------------------------------------
108 // Setup Operator
109 //------------------------------------------------------------------------------
110 static int CeedOperatorSetup_Opt(CeedOperator op) {
111   bool is_setup_done;
112   CeedCallBackend(CeedOperatorIsSetupDone(op, &is_setup_done));
113   if (is_setup_done) return CEED_ERROR_SUCCESS;
114   Ceed ceed;
115   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
116   Ceed_Opt *ceed_impl;
117   CeedCallBackend(CeedGetData(ceed, &ceed_impl));
118   const CeedInt     blk_size = ceed_impl->blk_size;
119   CeedOperator_Opt *impl;
120   CeedCallBackend(CeedOperatorGetData(op, &impl));
121   CeedQFunction qf;
122   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
123   CeedInt Q, num_input_fields, num_output_fields;
124   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
125   CeedCallBackend(CeedQFunctionIsIdentity(qf, &impl->is_identity_qf));
126   CeedOperatorField *op_input_fields, *op_output_fields;
127   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
128   CeedQFunctionField *qf_input_fields, *qf_output_fields;
129   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
130 
131   // Allocate
132   CeedCallBackend(CeedCalloc(num_input_fields + num_output_fields, &impl->blk_restr));
133   CeedCallBackend(CeedCalloc(num_input_fields + num_output_fields, &impl->e_vecs_full));
134 
135   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->input_states));
136   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_in));
137   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_out));
138   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_in));
139   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_out));
140 
141   impl->num_inputs  = num_input_fields;
142   impl->num_outputs = num_output_fields;
143 
144   // Set up infield and outfield pointer arrays
145   // Infields
146   CeedCallBackend(CeedOperatorSetupFields_Opt(qf, op, true, blk_size, impl->blk_restr, impl->e_vecs_full, impl->e_vecs_in, impl->q_vecs_in, 0,
147                                               num_input_fields, Q));
148   // Outfields
149   CeedCallBackend(CeedOperatorSetupFields_Opt(qf, op, false, blk_size, impl->blk_restr, impl->e_vecs_full, impl->e_vecs_out, impl->q_vecs_out,
150                                               num_input_fields, num_output_fields, Q));
151 
152   // Identity QFunctions
153   if (impl->is_identity_qf) {
154     CeedEvalMode        in_mode, out_mode;
155     CeedQFunctionField *in_fields, *out_fields;
156     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &in_fields, NULL, &out_fields));
157     CeedCallBackend(CeedQFunctionFieldGetEvalMode(in_fields[0], &in_mode));
158     CeedCallBackend(CeedQFunctionFieldGetEvalMode(out_fields[0], &out_mode));
159 
160     if (in_mode == CEED_EVAL_NONE && out_mode == CEED_EVAL_NONE) {
161       impl->is_identity_restr_op = true;
162     } else {
163       CeedCallBackend(CeedVectorReferenceCopy(impl->q_vecs_in[0], &impl->q_vecs_out[0]));
164     }
165   }
166 
167   CeedCallBackend(CeedOperatorSetSetupDone(op));
168 
169   return CEED_ERROR_SUCCESS;
170 }
171 
172 //------------------------------------------------------------------------------
173 // Setup Input Fields
174 //------------------------------------------------------------------------------
175 static inline int CeedOperatorSetupInputs_Opt(CeedInt num_input_fields, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
176                                               CeedVector in_vec, CeedScalar *e_data[2 * CEED_FIELD_MAX], CeedOperator_Opt *impl,
177                                               CeedRequest *request) {
178   CeedEvalMode eval_mode;
179   CeedVector   vec;
180   uint64_t     state;
181 
182   for (CeedInt i = 0; i < num_input_fields; i++) {
183     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
184     if (eval_mode == CEED_EVAL_WEIGHT) {  // Skip
185     } else {
186       // Get input vector
187       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
188       if (vec != CEED_VECTOR_ACTIVE) {
189         // Restrict
190         CeedCallBackend(CeedVectorGetState(vec, &state));
191         if (state != impl->input_states[i]) {
192           CeedCallBackend(CeedElemRestrictionApply(impl->blk_restr[i], CEED_NOTRANSPOSE, vec, impl->e_vecs_full[i], request));
193           impl->input_states[i] = state;
194         }
195         // Get evec
196         CeedCallBackend(CeedVectorGetArrayRead(impl->e_vecs_full[i], CEED_MEM_HOST, (const CeedScalar **)&e_data[i]));
197       } else {
198         // Set Qvec for CEED_EVAL_NONE
199         if (eval_mode == CEED_EVAL_NONE) {
200           CeedCallBackend(CeedVectorGetArrayRead(impl->e_vecs_in[i], CEED_MEM_HOST, (const CeedScalar **)&e_data[i]));
201           CeedCallBackend(CeedVectorSetArray(impl->q_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, e_data[i]));
202           CeedCallBackend(CeedVectorRestoreArrayRead(impl->e_vecs_in[i], (const CeedScalar **)&e_data[i]));
203         }
204       }
205     }
206   }
207   return CEED_ERROR_SUCCESS;
208 }
209 
210 //------------------------------------------------------------------------------
211 // Input Basis Action
212 //------------------------------------------------------------------------------
213 static inline int CeedOperatorInputBasis_Opt(CeedInt e, CeedInt Q, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
214                                              CeedInt num_input_fields, CeedInt blk_size, CeedVector in_vec, bool skip_active,
215                                              CeedScalar *e_data[2 * CEED_FIELD_MAX], CeedOperator_Opt *impl, CeedRequest *request) {
216   CeedInt             elem_size, size, num_comp;
217   CeedElemRestriction elem_restr;
218   CeedEvalMode        eval_mode;
219   CeedBasis           basis;
220   CeedVector          vec;
221 
222   for (CeedInt i = 0; i < num_input_fields; i++) {
223     CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
224     // Skip active input
225     if (skip_active) {
226       if (vec == CEED_VECTOR_ACTIVE) continue;
227     }
228 
229     CeedInt active_in = 0;
230     // Get elem_size, eval_mode, size
231     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_input_fields[i], &elem_restr));
232     CeedCallBackend(CeedElemRestrictionGetElementSize(elem_restr, &elem_size));
233     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
234     CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &size));
235     // Restrict block active input
236     if (vec == CEED_VECTOR_ACTIVE) {
237       CeedCallBackend(CeedElemRestrictionApplyBlock(impl->blk_restr[i], e / blk_size, CEED_NOTRANSPOSE, in_vec, impl->e_vecs_in[i], request));
238       active_in = 1;
239     }
240     // Basis action
241     switch (eval_mode) {
242       case CEED_EVAL_NONE:
243         if (!active_in) {
244           CeedCallBackend(CeedVectorSetArray(impl->q_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data[i][e * Q * size]));
245         }
246         break;
247       case CEED_EVAL_INTERP:
248       case CEED_EVAL_GRAD:
249       case CEED_EVAL_DIV:
250       case CEED_EVAL_CURL:
251         CeedCallBackend(CeedOperatorFieldGetBasis(op_input_fields[i], &basis));
252         if (!active_in) {
253           CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
254           CeedCallBackend(CeedVectorSetArray(impl->e_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data[i][e * elem_size * num_comp]));
255         }
256         CeedCallBackend(CeedBasisApply(basis, blk_size, CEED_NOTRANSPOSE, eval_mode, impl->e_vecs_in[i], impl->q_vecs_in[i]));
257         break;
258       case CEED_EVAL_WEIGHT:
259         break;  // No action
260     }
261   }
262   return CEED_ERROR_SUCCESS;
263 }
264 
265 //------------------------------------------------------------------------------
266 // Output Basis Action
267 //------------------------------------------------------------------------------
268 static inline int CeedOperatorOutputBasis_Opt(CeedInt e, CeedInt Q, CeedQFunctionField *qf_output_fields, CeedOperatorField *op_output_fields,
269                                               CeedInt blk_size, CeedInt num_input_fields, CeedInt num_output_fields, CeedOperator op,
270                                               CeedVector out_vec, CeedOperator_Opt *impl, CeedRequest *request) {
271   CeedElemRestriction elem_restr;
272   CeedEvalMode        eval_mode;
273   CeedBasis           basis;
274   CeedVector          vec;
275 
276   for (CeedInt i = 0; i < num_output_fields; i++) {
277     // Get elem_size, eval_mode, size
278     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_output_fields[i], &elem_restr));
279     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
280     // Basis action
281     switch (eval_mode) {
282       case CEED_EVAL_NONE:
283         break;  // No action
284       case CEED_EVAL_INTERP:
285       case CEED_EVAL_GRAD:
286       case CEED_EVAL_DIV:
287       case CEED_EVAL_CURL:
288         CeedCallBackend(CeedOperatorFieldGetBasis(op_output_fields[i], &basis));
289         CeedCallBackend(CeedBasisApply(basis, blk_size, CEED_TRANSPOSE, eval_mode, impl->q_vecs_out[i], impl->e_vecs_out[i]));
290         break;
291       // LCOV_EXCL_START
292       case CEED_EVAL_WEIGHT: {
293         Ceed ceed;
294         CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
295         return CeedError(ceed, CEED_ERROR_BACKEND, "CEED_EVAL_WEIGHT cannot be an output evaluation mode");
296         // LCOV_EXCL_STOP
297       }
298     }
299     // Restrict output block
300     // Get output vector
301     CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
302     if (vec == CEED_VECTOR_ACTIVE) vec = out_vec;
303     // Restrict
304     CeedCallBackend(
305         CeedElemRestrictionApplyBlock(impl->blk_restr[i + impl->num_inputs], e / blk_size, CEED_TRANSPOSE, impl->e_vecs_out[i], vec, request));
306   }
307   return CEED_ERROR_SUCCESS;
308 }
309 
310 //------------------------------------------------------------------------------
311 // Restore Input Vectors
312 //------------------------------------------------------------------------------
313 static inline int CeedOperatorRestoreInputs_Opt(CeedInt num_input_fields, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
314                                                 CeedScalar *e_data[2 * CEED_FIELD_MAX], CeedOperator_Opt *impl) {
315   for (CeedInt i = 0; i < num_input_fields; i++) {
316     CeedEvalMode eval_mode;
317     CeedVector   vec;
318     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
319     CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
320     if (eval_mode != CEED_EVAL_WEIGHT && vec != CEED_VECTOR_ACTIVE) {
321       CeedCallBackend(CeedVectorRestoreArrayRead(impl->e_vecs_full[i], (const CeedScalar **)&e_data[i]));
322     }
323   }
324   return CEED_ERROR_SUCCESS;
325 }
326 
327 //------------------------------------------------------------------------------
328 // Operator Apply
329 //------------------------------------------------------------------------------
330 static int CeedOperatorApplyAdd_Opt(CeedOperator op, CeedVector in_vec, CeedVector out_vec, CeedRequest *request) {
331   Ceed ceed;
332   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
333   Ceed_Opt *ceed_impl;
334   CeedCallBackend(CeedGetData(ceed, &ceed_impl));
335   CeedInt           blk_size = ceed_impl->blk_size;
336   CeedOperator_Opt *impl;
337   CeedCallBackend(CeedOperatorGetData(op, &impl));
338   CeedInt Q, num_input_fields, num_output_fields, num_elem;
339   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
340   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
341   CeedInt       num_blks = (num_elem / blk_size) + !!(num_elem % blk_size);
342   CeedQFunction qf;
343   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
344   CeedOperatorField *op_input_fields, *op_output_fields;
345   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
346   CeedQFunctionField *qf_input_fields, *qf_output_fields;
347   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
348   CeedEvalMode eval_mode;
349   CeedScalar  *e_data[2 * CEED_FIELD_MAX] = {0};
350 
351   // Setup
352   CeedCallBackend(CeedOperatorSetup_Opt(op));
353 
354   // Restriction only operator
355   if (impl->is_identity_restr_op) {
356     for (CeedInt b = 0; b < num_blks; b++) {
357       CeedCallBackend(CeedElemRestrictionApplyBlock(impl->blk_restr[0], b, CEED_NOTRANSPOSE, in_vec, impl->e_vecs_in[0], request));
358       CeedCallBackend(CeedElemRestrictionApplyBlock(impl->blk_restr[1], b, CEED_TRANSPOSE, impl->e_vecs_in[0], out_vec, request));
359     }
360     return CEED_ERROR_SUCCESS;
361   }
362 
363   // Input Evecs and Restriction
364   CeedCallBackend(CeedOperatorSetupInputs_Opt(num_input_fields, qf_input_fields, op_input_fields, in_vec, e_data, impl, request));
365 
366   // Output Lvecs, Evecs, and Qvecs
367   for (CeedInt i = 0; i < num_output_fields; i++) {
368     // Set Qvec if needed
369     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
370     if (eval_mode == CEED_EVAL_NONE) {
371       // Set qvec to single block evec
372       CeedCallBackend(CeedVectorGetArrayWrite(impl->e_vecs_out[i], CEED_MEM_HOST, &e_data[i + num_input_fields]));
373       CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[i], CEED_MEM_HOST, CEED_USE_POINTER, e_data[i + num_input_fields]));
374       CeedCallBackend(CeedVectorRestoreArray(impl->e_vecs_out[i], &e_data[i + num_input_fields]));
375     }
376   }
377 
378   // Loop through elements
379   for (CeedInt e = 0; e < num_blks * blk_size; e += blk_size) {
380     // Input basis apply
381     CeedCallBackend(
382         CeedOperatorInputBasis_Opt(e, Q, qf_input_fields, op_input_fields, num_input_fields, blk_size, in_vec, false, e_data, impl, request));
383 
384     // Q function
385     if (!impl->is_identity_qf) {
386       CeedCallBackend(CeedQFunctionApply(qf, Q * blk_size, impl->q_vecs_in, impl->q_vecs_out));
387     }
388 
389     // Output basis apply and restrict
390     CeedCallBackend(CeedOperatorOutputBasis_Opt(e, Q, qf_output_fields, op_output_fields, blk_size, num_input_fields, num_output_fields, op, out_vec,
391                                                 impl, request));
392   }
393 
394   // Restore input arrays
395   CeedCallBackend(CeedOperatorRestoreInputs_Opt(num_input_fields, qf_input_fields, op_input_fields, e_data, impl));
396 
397   return CEED_ERROR_SUCCESS;
398 }
399 
400 //------------------------------------------------------------------------------
401 // Core code for linear QFunction assembly
402 //------------------------------------------------------------------------------
403 static inline int CeedOperatorLinearAssembleQFunctionCore_Opt(CeedOperator op, bool build_objects, CeedVector *assembled, CeedElemRestriction *rstr,
404                                                               CeedRequest *request) {
405   Ceed ceed;
406   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
407   Ceed_Opt *ceed_impl;
408   CeedCallBackend(CeedGetData(ceed, &ceed_impl));
409   const CeedInt     blk_size = ceed_impl->blk_size;
410   CeedSize          q_size;
411   CeedOperator_Opt *impl;
412   CeedCallBackend(CeedOperatorGetData(op, &impl));
413   CeedInt Q, num_input_fields, num_output_fields, num_elem, size;
414   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
415   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
416   CeedInt       num_blks = (num_elem / blk_size) + !!(num_elem % blk_size);
417   CeedQFunction qf;
418   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
419   CeedOperatorField *op_input_fields, *op_output_fields;
420   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
421   CeedQFunctionField *qf_input_fields, *qf_output_fields;
422   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
423   CeedVector  vec, l_vec = impl->qf_l_vec;
424   CeedInt     num_active_in = impl->num_active_in, num_active_out = impl->num_active_out;
425   CeedVector *active_in = impl->qf_active_in;
426   CeedScalar *a, *tmp;
427   CeedScalar *e_data[2 * CEED_FIELD_MAX] = {0};
428 
429   // Setup
430   CeedCallBackend(CeedOperatorSetup_Opt(op));
431 
432   // Check for identity
433   CeedCheck(!impl->is_identity_qf, ceed, CEED_ERROR_BACKEND, "Assembling identity qfunctions not supported");
434 
435   // Input Evecs and Restriction
436   CeedCallBackend(CeedOperatorSetupInputs_Opt(num_input_fields, qf_input_fields, op_input_fields, NULL, e_data, impl, request));
437 
438   // Count number of active input fields
439   if (!num_active_in) {
440     for (CeedInt i = 0; i < num_input_fields; i++) {
441       // Get input vector
442       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
443       // Check if active input
444       if (vec == CEED_VECTOR_ACTIVE) {
445         CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &size));
446         CeedCallBackend(CeedVectorSetValue(impl->q_vecs_in[i], 0.0));
447         CeedCallBackend(CeedVectorGetArray(impl->q_vecs_in[i], CEED_MEM_HOST, &tmp));
448         CeedCallBackend(CeedRealloc(num_active_in + size, &active_in));
449         for (CeedInt field = 0; field < size; field++) {
450           q_size = (CeedSize)Q * blk_size;
451           CeedCallBackend(CeedVectorCreate(ceed, q_size, &active_in[num_active_in + field]));
452           CeedCallBackend(CeedVectorSetArray(active_in[num_active_in + field], CEED_MEM_HOST, CEED_USE_POINTER, &tmp[field * Q * blk_size]));
453         }
454         num_active_in += size;
455         CeedCallBackend(CeedVectorRestoreArray(impl->q_vecs_in[i], &tmp));
456       }
457     }
458     impl->num_active_in = num_active_in;
459     impl->qf_active_in  = active_in;
460   }
461 
462   // Count number of active output fields
463   if (!num_active_out) {
464     for (CeedInt i = 0; i < num_output_fields; i++) {
465       // Get output vector
466       CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
467       // Check if active output
468       if (vec == CEED_VECTOR_ACTIVE) {
469         CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[i], &size));
470         num_active_out += size;
471       }
472     }
473     impl->num_active_out = num_active_out;
474   }
475 
476   // Check sizes
477   CeedCheck(num_active_in > 0 && num_active_out > 0, ceed, CEED_ERROR_BACKEND, "Cannot assemble QFunction without active inputs and outputs");
478 
479   // Setup l_vec
480   if (!l_vec) {
481     CeedSize l_size = (CeedSize)blk_size * Q * num_active_in * num_active_out;
482     CeedCallBackend(CeedVectorCreate(ceed, l_size, &l_vec));
483     CeedCallBackend(CeedVectorSetValue(l_vec, 0.0));
484     impl->qf_l_vec = l_vec;
485   }
486 
487   // Build objects if needed
488   CeedInt strides[3] = {1, Q, num_active_in * num_active_out * Q};
489   if (build_objects) {
490     // Create output restriction
491     CeedCallBackend(CeedElemRestrictionCreateStrided(ceed, num_elem, Q, num_active_in * num_active_out, num_active_in * num_active_out * num_elem * Q,
492                                                      strides, rstr));
493     // Create assembled vector
494     CeedSize l_size = (CeedSize)num_elem * Q * num_active_in * num_active_out;
495     CeedCallBackend(CeedVectorCreate(ceed, l_size, assembled));
496   }
497 
498   // Output blocked restriction
499   CeedElemRestriction blk_rstr = impl->qf_blk_rstr;
500   if (!blk_rstr) {
501     CeedCallBackend(CeedElemRestrictionCreateBlockedStrided(ceed, num_elem, Q, blk_size, num_active_in * num_active_out,
502                                                             num_active_in * num_active_out * num_elem * Q, strides, &blk_rstr));
503     impl->qf_blk_rstr = blk_rstr;
504   }
505 
506   // Loop through elements
507   CeedCallBackend(CeedVectorSetValue(*assembled, 0.0));
508   for (CeedInt e = 0; e < num_blks * blk_size; e += blk_size) {
509     CeedCallBackend(CeedVectorGetArray(l_vec, CEED_MEM_HOST, &a));
510 
511     // Input basis apply
512     CeedCallBackend(
513         CeedOperatorInputBasis_Opt(e, Q, qf_input_fields, op_input_fields, num_input_fields, blk_size, NULL, true, e_data, impl, request));
514 
515     // Assemble QFunction
516     for (CeedInt in = 0; in < num_active_in; in++) {
517       // Set Inputs
518       CeedCallBackend(CeedVectorSetValue(active_in[in], 1.0));
519       if (num_active_in > 1) {
520         CeedCallBackend(CeedVectorSetValue(active_in[(in + num_active_in - 1) % num_active_in], 0.0));
521       }
522       // Set Outputs
523       for (CeedInt out = 0; out < num_output_fields; out++) {
524         // Get output vector
525         CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
526         // Check if active output
527         if (vec == CEED_VECTOR_ACTIVE) {
528           CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[out], CEED_MEM_HOST, CEED_USE_POINTER, a));
529           CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[out], &size));
530           a += size * Q * blk_size;  // Advance the pointer by the size of the output
531         }
532       }
533       // Apply QFunction
534       CeedCallBackend(CeedQFunctionApply(qf, Q * blk_size, impl->q_vecs_in, impl->q_vecs_out));
535     }
536 
537     // Assemble into assembled vector
538     CeedCallBackend(CeedVectorRestoreArray(l_vec, &a));
539     CeedCallBackend(CeedElemRestrictionApplyBlock(blk_rstr, e / blk_size, CEED_TRANSPOSE, l_vec, *assembled, request));
540   }
541 
542   // Un-set output Qvecs to prevent accidental overwrite of Assembled
543   for (CeedInt out = 0; out < num_output_fields; out++) {
544     // Get output vector
545     CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
546     // Check if active output
547     if (vec == CEED_VECTOR_ACTIVE) {
548       CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[out], CEED_MEM_HOST, CEED_COPY_VALUES, NULL));
549     }
550   }
551 
552   // Restore input arrays
553   CeedCallBackend(CeedOperatorRestoreInputs_Opt(num_input_fields, qf_input_fields, op_input_fields, e_data, impl));
554 
555   return CEED_ERROR_SUCCESS;
556 }
557 
558 //------------------------------------------------------------------------------
559 // Assemble Linear QFunction
560 //------------------------------------------------------------------------------
561 static int CeedOperatorLinearAssembleQFunction_Opt(CeedOperator op, CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request) {
562   return CeedOperatorLinearAssembleQFunctionCore_Opt(op, true, assembled, rstr, request);
563 }
564 
565 //------------------------------------------------------------------------------
566 // Update Assembled Linear QFunction
567 //------------------------------------------------------------------------------
568 static int CeedOperatorLinearAssembleQFunctionUpdate_Opt(CeedOperator op, CeedVector assembled, CeedElemRestriction rstr, CeedRequest *request) {
569   return CeedOperatorLinearAssembleQFunctionCore_Opt(op, false, &assembled, &rstr, request);
570 }
571 
572 //------------------------------------------------------------------------------
573 // Operator Destroy
574 //------------------------------------------------------------------------------
575 static int CeedOperatorDestroy_Opt(CeedOperator op) {
576   CeedOperator_Opt *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_Opt(CeedOperator op) {
617   Ceed ceed;
618   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
619   Ceed_Opt *ceed_impl;
620   CeedCallBackend(CeedGetData(ceed, &ceed_impl));
621   CeedInt           blk_size = ceed_impl->blk_size;
622   CeedOperator_Opt *impl;
623 
624   CeedCallBackend(CeedCalloc(1, &impl));
625   CeedCallBackend(CeedOperatorSetData(op, impl));
626 
627   CeedCheck(blk_size == 1 || blk_size == 8, ceed, CEED_ERROR_BACKEND, "Opt backend cannot use blocksize: %" CeedInt_FMT, blk_size);
628 
629   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunction", CeedOperatorLinearAssembleQFunction_Opt));
630   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunctionUpdate", CeedOperatorLinearAssembleQFunctionUpdate_Opt));
631   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "ApplyAdd", CeedOperatorApplyAdd_Opt));
632   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "Destroy", CeedOperatorDestroy_Opt));
633   return CEED_ERROR_SUCCESS;
634 }
635 
636 //------------------------------------------------------------------------------
637