xref: /libCEED/rust/libceed-sys/c-src/backends/ref/ceed-ref-operator.c (revision de5bf46bcc909da70680c51facd7097145cfeaa6)
1 // Copyright (c) 2017-2025, 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-ref.h"
15 
16 //------------------------------------------------------------------------------
17 // Setup Input/Output Fields
18 //------------------------------------------------------------------------------
19 static int CeedOperatorSetupFields_Ref(CeedQFunction qf, CeedOperator op, bool is_input, bool *skip_rstr, CeedInt *e_data_out_indices,
20                                        bool *apply_add_basis, CeedVector *e_vecs_full, CeedVector *e_vecs, CeedVector *q_vecs, CeedInt start_e,
21                                        CeedInt num_fields, CeedInt Q) {
22   Ceed                ceed;
23   CeedSize            e_size, q_size;
24   CeedInt             num_comp, size, P;
25   CeedQFunctionField *qf_fields;
26   CeedOperatorField  *op_fields;
27 
28   {
29     Ceed ceed_parent;
30 
31     CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
32     CeedCallBackend(CeedGetParent(ceed, &ceed_parent));
33     CeedCallBackend(CeedReferenceCopy(ceed_parent, &ceed));
34     CeedCallBackend(CeedDestroy(&ceed_parent));
35   }
36   if (is_input) {
37     CeedCallBackend(CeedOperatorGetFields(op, NULL, &op_fields, NULL, NULL));
38     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_fields, NULL, NULL));
39   } else {
40     CeedCallBackend(CeedOperatorGetFields(op, NULL, NULL, NULL, &op_fields));
41     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, NULL, NULL, &qf_fields));
42   }
43 
44   // Loop over fields
45   for (CeedInt i = 0; i < num_fields; i++) {
46     CeedEvalMode        eval_mode;
47     CeedElemRestriction elem_rstr;
48     CeedBasis           basis;
49 
50     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_fields[i], &eval_mode));
51     if (eval_mode != CEED_EVAL_WEIGHT) {
52       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[i], &elem_rstr));
53       CeedCallBackend(CeedElemRestrictionCreateVector(elem_rstr, NULL, &e_vecs_full[i + start_e]));
54       CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
55     }
56 
57     switch (eval_mode) {
58       case CEED_EVAL_NONE:
59         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
60         q_size = (CeedSize)Q * size;
61         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
62         break;
63       case CEED_EVAL_INTERP:
64       case CEED_EVAL_GRAD:
65       case CEED_EVAL_DIV:
66       case CEED_EVAL_CURL:
67         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
68         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
69         CeedCallBackend(CeedBasisGetNumNodes(basis, &P));
70         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
71         e_size = (CeedSize)P * num_comp;
72         CeedCallBackend(CeedVectorCreate(ceed, e_size, &e_vecs[i]));
73         q_size = (CeedSize)Q * size;
74         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
75         CeedCallBackend(CeedBasisDestroy(&basis));
76         break;
77       case CEED_EVAL_WEIGHT:  // Only on input fields
78         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
79         q_size = (CeedSize)Q;
80         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
81         CeedCallBackend(CeedBasisApply(basis, 1, CEED_NOTRANSPOSE, CEED_EVAL_WEIGHT, CEED_VECTOR_NONE, q_vecs[i]));
82         CeedCallBackend(CeedBasisDestroy(&basis));
83         break;
84     }
85   }
86   // Drop duplicate restrictions
87   if (is_input) {
88     for (CeedInt i = 0; i < num_fields; i++) {
89       CeedVector          vec_i;
90       CeedElemRestriction rstr_i;
91 
92       CeedCallBackend(CeedOperatorFieldGetVector(op_fields[i], &vec_i));
93       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[i], &rstr_i));
94       for (CeedInt j = i + 1; j < num_fields; j++) {
95         CeedVector          vec_j;
96         CeedElemRestriction rstr_j;
97 
98         CeedCallBackend(CeedOperatorFieldGetVector(op_fields[j], &vec_j));
99         CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[j], &rstr_j));
100         if (vec_i == vec_j && rstr_i == rstr_j) {
101           CeedCallBackend(CeedVectorReferenceCopy(e_vecs[i], &e_vecs[j]));
102           CeedCallBackend(CeedVectorReferenceCopy(e_vecs_full[i + start_e], &e_vecs_full[j + start_e]));
103           skip_rstr[j] = true;
104         }
105         CeedCallBackend(CeedVectorDestroy(&vec_j));
106         CeedCallBackend(CeedElemRestrictionDestroy(&rstr_j));
107       }
108       CeedCallBackend(CeedVectorDestroy(&vec_i));
109       CeedCallBackend(CeedElemRestrictionDestroy(&rstr_i));
110     }
111   } else {
112     for (CeedInt i = num_fields - 1; i >= 0; i--) {
113       CeedVector          vec_i;
114       CeedElemRestriction rstr_i;
115 
116       CeedCallBackend(CeedOperatorFieldGetVector(op_fields[i], &vec_i));
117       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[i], &rstr_i));
118       for (CeedInt j = i - 1; j >= 0; j--) {
119         CeedVector          vec_j;
120         CeedElemRestriction rstr_j;
121 
122         CeedCallBackend(CeedOperatorFieldGetVector(op_fields[j], &vec_j));
123         CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[j], &rstr_j));
124         if (vec_i == vec_j && rstr_i == rstr_j) {
125           CeedCallBackend(CeedVectorReferenceCopy(e_vecs[i], &e_vecs[j]));
126           CeedCallBackend(CeedVectorReferenceCopy(e_vecs_full[i + start_e], &e_vecs_full[j + start_e]));
127           skip_rstr[j]          = true;
128           apply_add_basis[i]    = true;
129           e_data_out_indices[j] = i;
130         }
131         CeedCallBackend(CeedVectorDestroy(&vec_j));
132         CeedCallBackend(CeedElemRestrictionDestroy(&rstr_j));
133       }
134       CeedCallBackend(CeedVectorDestroy(&vec_i));
135       CeedCallBackend(CeedElemRestrictionDestroy(&rstr_i));
136     }
137   }
138   CeedCallBackend(CeedDestroy(&ceed));
139   return CEED_ERROR_SUCCESS;
140 }
141 
142 //------------------------------------------------------------------------------
143 // Setup Operator
144 //------------------------------------------------------------------------------/*
145 static int CeedOperatorSetup_Ref(CeedOperator op) {
146   bool                is_setup_done;
147   CeedInt             Q, num_input_fields, num_output_fields;
148   CeedQFunctionField *qf_input_fields, *qf_output_fields;
149   CeedQFunction       qf;
150   CeedOperatorField  *op_input_fields, *op_output_fields;
151   CeedOperator_Ref   *impl;
152 
153   CeedCallBackend(CeedOperatorIsSetupDone(op, &is_setup_done));
154   if (is_setup_done) return CEED_ERROR_SUCCESS;
155 
156   CeedCallBackend(CeedOperatorGetData(op, &impl));
157   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
158   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
159   CeedCallBackend(CeedQFunctionIsIdentity(qf, &impl->is_identity_qf));
160   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
161   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
162 
163   // Allocate
164   CeedCallBackend(CeedCalloc(num_input_fields + num_output_fields, &impl->e_vecs_full));
165 
166   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->skip_rstr_in));
167   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->skip_rstr_out));
168   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_data_out_indices));
169   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->apply_add_basis_out));
170   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->input_states));
171   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_in));
172   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_out));
173   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_in));
174   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_out));
175 
176   impl->num_inputs  = num_input_fields;
177   impl->num_outputs = num_output_fields;
178 
179   // Set up infield and outfield e_vecs and q_vecs
180   // Infields
181   CeedCallBackend(CeedOperatorSetupFields_Ref(qf, op, true, impl->skip_rstr_in, NULL, NULL, impl->e_vecs_full, impl->e_vecs_in, impl->q_vecs_in, 0,
182                                               num_input_fields, Q));
183   // Outfields
184   CeedCallBackend(CeedOperatorSetupFields_Ref(qf, op, false, impl->skip_rstr_out, impl->e_data_out_indices, impl->apply_add_basis_out,
185                                               impl->e_vecs_full, impl->e_vecs_out, impl->q_vecs_out, num_input_fields, num_output_fields, Q));
186 
187   // Identity QFunctions
188   if (impl->is_identity_qf) {
189     CeedEvalMode        in_mode, out_mode;
190     CeedQFunctionField *in_fields, *out_fields;
191 
192     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &in_fields, NULL, &out_fields));
193     CeedCallBackend(CeedQFunctionFieldGetEvalMode(in_fields[0], &in_mode));
194     CeedCallBackend(CeedQFunctionFieldGetEvalMode(out_fields[0], &out_mode));
195 
196     if (in_mode == CEED_EVAL_NONE && out_mode == CEED_EVAL_NONE) {
197       impl->is_identity_rstr_op = true;
198     } else {
199       CeedCallBackend(CeedVectorReferenceCopy(impl->q_vecs_in[0], &impl->q_vecs_out[0]));
200     }
201   }
202 
203   CeedCallBackend(CeedOperatorSetSetupDone(op));
204   CeedCallBackend(CeedQFunctionDestroy(&qf));
205   return CEED_ERROR_SUCCESS;
206 }
207 
208 //------------------------------------------------------------------------------
209 // Setup Operator Inputs
210 //------------------------------------------------------------------------------
211 static inline int CeedOperatorSetupInputs_Ref(CeedInt num_input_fields, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
212                                               CeedVector in_vec, const bool skip_active, CeedScalar *e_data_full[2 * CEED_FIELD_MAX],
213                                               CeedOperator_Ref *impl, CeedRequest *request) {
214   for (CeedInt i = 0; i < num_input_fields; i++) {
215     bool         is_active;
216     uint64_t     state;
217     CeedEvalMode eval_mode;
218     CeedVector   vec;
219 
220     // Get input vector
221     CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
222     is_active = vec == CEED_VECTOR_ACTIVE;
223     if (is_active) {
224       if (skip_active) continue;
225       else vec = in_vec;
226     }
227 
228     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
229     // Restrict and Evec
230     if (eval_mode == CEED_EVAL_WEIGHT) {  // Skip
231     } else {
232       // Restrict
233       CeedCallBackend(CeedVectorGetState(vec, &state));
234       // Skip restriction if input is unchanged
235       if ((state != impl->input_states[i] || vec == in_vec) && !impl->skip_rstr_in[i]) {
236         CeedElemRestriction elem_rstr;
237 
238         CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_input_fields[i], &elem_rstr));
239         CeedCallBackend(CeedElemRestrictionApply(elem_rstr, CEED_NOTRANSPOSE, vec, impl->e_vecs_full[i], request));
240         CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
241       }
242       impl->input_states[i] = state;
243       // Get evec
244       CeedCallBackend(CeedVectorGetArrayRead(impl->e_vecs_full[i], CEED_MEM_HOST, (const CeedScalar **)&e_data_full[i]));
245     }
246     if (!is_active) CeedCallBackend(CeedVectorDestroy(&vec));
247   }
248   return CEED_ERROR_SUCCESS;
249 }
250 
251 //------------------------------------------------------------------------------
252 // Input Basis Action
253 //------------------------------------------------------------------------------
254 static inline int CeedOperatorInputBasis_Ref(CeedInt e, CeedInt Q, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
255                                              CeedInt num_input_fields, const bool skip_active, CeedScalar *e_data_full[2 * CEED_FIELD_MAX],
256                                              CeedOperator_Ref *impl) {
257   for (CeedInt i = 0; i < num_input_fields; i++) {
258     CeedInt             elem_size, size, num_comp;
259     CeedEvalMode        eval_mode;
260     CeedElemRestriction elem_rstr;
261     CeedBasis           basis;
262 
263     // Skip active input
264     if (skip_active) {
265       bool       is_active;
266       CeedVector vec;
267 
268       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
269       is_active = vec == CEED_VECTOR_ACTIVE;
270       CeedCallBackend(CeedVectorDestroy(&vec));
271       if (is_active) continue;
272     }
273     // Get elem_size, eval_mode, size
274     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_input_fields[i], &elem_rstr));
275     CeedCallBackend(CeedElemRestrictionGetElementSize(elem_rstr, &elem_size));
276     CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
277     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
278     CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &size));
279     // Basis action
280     switch (eval_mode) {
281       case CEED_EVAL_NONE:
282         CeedCallBackend(CeedVectorSetArray(impl->q_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i][(CeedSize)e * Q * size]));
283         break;
284       case CEED_EVAL_INTERP:
285       case CEED_EVAL_GRAD:
286       case CEED_EVAL_DIV:
287       case CEED_EVAL_CURL:
288         CeedCallBackend(CeedOperatorFieldGetBasis(op_input_fields[i], &basis));
289         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
290         CeedCallBackend(CeedVectorSetArray(impl->e_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i][(CeedSize)e * elem_size * num_comp]));
291         CeedCallBackend(CeedBasisApply(basis, 1, CEED_NOTRANSPOSE, eval_mode, impl->e_vecs_in[i], impl->q_vecs_in[i]));
292         CeedCallBackend(CeedBasisDestroy(&basis));
293         break;
294       case CEED_EVAL_WEIGHT:
295         break;  // No action
296     }
297   }
298   return CEED_ERROR_SUCCESS;
299 }
300 
301 //------------------------------------------------------------------------------
302 // Output Basis Action
303 //------------------------------------------------------------------------------
304 static inline int CeedOperatorOutputBasis_Ref(CeedInt e, CeedInt Q, CeedQFunctionField *qf_output_fields, CeedOperatorField *op_output_fields,
305                                               CeedInt num_input_fields, CeedInt num_output_fields, bool *apply_add_basis, CeedOperator op,
306                                               CeedScalar *e_data_full[2 * CEED_FIELD_MAX], CeedOperator_Ref *impl) {
307   for (CeedInt i = 0; i < num_output_fields; i++) {
308     CeedInt             elem_size, num_comp;
309     CeedEvalMode        eval_mode;
310     CeedElemRestriction elem_rstr;
311     CeedBasis           basis;
312 
313     // Get elem_size, eval_mode
314     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_output_fields[i], &elem_rstr));
315     CeedCallBackend(CeedElemRestrictionGetElementSize(elem_rstr, &elem_size));
316     CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
317     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
318     // Basis action
319     switch (eval_mode) {
320       case CEED_EVAL_NONE:
321         break;  // No action
322       case CEED_EVAL_INTERP:
323       case CEED_EVAL_GRAD:
324       case CEED_EVAL_DIV:
325       case CEED_EVAL_CURL:
326         CeedCallBackend(CeedOperatorFieldGetBasis(op_output_fields[i], &basis));
327         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
328         CeedCallBackend(CeedVectorSetArray(impl->e_vecs_out[i], CEED_MEM_HOST, CEED_USE_POINTER,
329                                            &e_data_full[i + num_input_fields][(CeedSize)e * elem_size * num_comp]));
330         if (apply_add_basis[i]) {
331           CeedCallBackend(CeedBasisApplyAdd(basis, 1, CEED_TRANSPOSE, eval_mode, impl->q_vecs_out[i], impl->e_vecs_out[i]));
332         } else {
333           CeedCallBackend(CeedBasisApply(basis, 1, CEED_TRANSPOSE, eval_mode, impl->q_vecs_out[i], impl->e_vecs_out[i]));
334         }
335         CeedCallBackend(CeedBasisDestroy(&basis));
336         break;
337       // LCOV_EXCL_START
338       case CEED_EVAL_WEIGHT: {
339         return CeedError(CeedOperatorReturnCeed(op), CEED_ERROR_BACKEND, "CEED_EVAL_WEIGHT cannot be an output evaluation mode");
340         // LCOV_EXCL_STOP
341       }
342     }
343   }
344   return CEED_ERROR_SUCCESS;
345 }
346 
347 //------------------------------------------------------------------------------
348 // Restore Input Vectors
349 //------------------------------------------------------------------------------
350 static inline int CeedOperatorRestoreInputs_Ref(CeedInt num_input_fields, CeedQFunctionField *qf_input_fields, CeedOperatorField *op_input_fields,
351                                                 const bool skip_active, CeedScalar *e_data_full[2 * CEED_FIELD_MAX], CeedOperator_Ref *impl) {
352   for (CeedInt i = 0; i < num_input_fields; i++) {
353     CeedEvalMode eval_mode;
354 
355     // Skip active inputs
356     if (skip_active) {
357       bool       is_active;
358       CeedVector vec;
359 
360       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
361       is_active = vec == CEED_VECTOR_ACTIVE;
362       CeedCallBackend(CeedVectorDestroy(&vec));
363       if (is_active) continue;
364     }
365     // Restore input
366     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
367     if (eval_mode == CEED_EVAL_WEIGHT) {  // Skip
368     } else {
369       CeedCallBackend(CeedVectorRestoreArrayRead(impl->e_vecs_full[i], (const CeedScalar **)&e_data_full[i]));
370     }
371   }
372   return CEED_ERROR_SUCCESS;
373 }
374 
375 //------------------------------------------------------------------------------
376 // Operator Apply
377 //------------------------------------------------------------------------------
378 static int CeedOperatorApplyAdd_Ref(CeedOperator op, CeedVector in_vec, CeedVector out_vec, CeedRequest *request) {
379   CeedInt             Q, num_elem, num_input_fields, num_output_fields, size;
380   CeedEvalMode        eval_mode;
381   CeedScalar         *e_data_full[2 * CEED_FIELD_MAX] = {NULL};
382   CeedQFunctionField *qf_input_fields, *qf_output_fields;
383   CeedQFunction       qf;
384   CeedOperatorField  *op_input_fields, *op_output_fields;
385   CeedOperator_Ref   *impl;
386 
387   // Setup
388   CeedCallBackend(CeedOperatorSetup_Ref(op));
389 
390   CeedCallBackend(CeedOperatorGetData(op, &impl));
391   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
392 
393   // Restriction only operator
394   if (impl->is_identity_rstr_op) {
395     CeedElemRestriction elem_rstr;
396 
397     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_input_fields[0], &elem_rstr));
398     CeedCallBackend(CeedElemRestrictionApply(elem_rstr, CEED_NOTRANSPOSE, in_vec, impl->e_vecs_full[0], request));
399     CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
400     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_output_fields[0], &elem_rstr));
401     CeedCallBackend(CeedElemRestrictionApply(elem_rstr, CEED_TRANSPOSE, impl->e_vecs_full[0], out_vec, request));
402     CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
403     return CEED_ERROR_SUCCESS;
404   }
405 
406   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
407   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
408   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
409   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
410 
411   // Input Evecs and Restriction
412   CeedCallBackend(CeedOperatorSetupInputs_Ref(num_input_fields, qf_input_fields, op_input_fields, in_vec, false, e_data_full, impl, request));
413 
414   // Output Evecs
415   for (CeedInt i = num_output_fields - 1; i >= 0; i--) {
416     if (impl->skip_rstr_out[i]) {
417       e_data_full[i + num_input_fields] = e_data_full[impl->e_data_out_indices[i] + num_input_fields];
418     } else {
419       CeedCallBackend(CeedVectorGetArrayWrite(impl->e_vecs_full[i + impl->num_inputs], CEED_MEM_HOST, &e_data_full[i + num_input_fields]));
420     }
421   }
422 
423   // Loop through elements
424   for (CeedInt e = 0; e < num_elem; e++) {
425     // Output pointers
426     for (CeedInt i = 0; i < num_output_fields; i++) {
427       CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
428       if (eval_mode == CEED_EVAL_NONE) {
429         CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[i], &size));
430         CeedCallBackend(
431             CeedVectorSetArray(impl->q_vecs_out[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data_full[i + num_input_fields][(CeedSize)e * Q * size]));
432       }
433     }
434 
435     // Input basis apply
436     CeedCallBackend(CeedOperatorInputBasis_Ref(e, Q, qf_input_fields, op_input_fields, num_input_fields, false, e_data_full, impl));
437 
438     // Q function
439     if (!impl->is_identity_qf) {
440       CeedCallBackend(CeedQFunctionApply(qf, Q, impl->q_vecs_in, impl->q_vecs_out));
441     }
442 
443     // Output basis apply
444     CeedCallBackend(CeedOperatorOutputBasis_Ref(e, Q, qf_output_fields, op_output_fields, num_input_fields, num_output_fields,
445                                                 impl->apply_add_basis_out, op, e_data_full, impl));
446   }
447 
448   // Output restriction
449   for (CeedInt i = 0; i < num_output_fields; i++) {
450     bool                is_active;
451     CeedVector          vec;
452     CeedElemRestriction elem_rstr;
453 
454     if (impl->skip_rstr_out[i]) continue;
455     // Restore Evec
456     CeedCallBackend(CeedVectorRestoreArray(impl->e_vecs_full[i + impl->num_inputs], &e_data_full[i + num_input_fields]));
457     // Get output vector
458     CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
459     // Active
460     is_active = vec == CEED_VECTOR_ACTIVE;
461     if (is_active) vec = out_vec;
462     // Restrict
463     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_output_fields[i], &elem_rstr));
464     CeedCallBackend(CeedElemRestrictionApply(elem_rstr, CEED_TRANSPOSE, impl->e_vecs_full[i + impl->num_inputs], vec, request));
465     if (!is_active) CeedCallBackend(CeedVectorDestroy(&vec));
466     CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
467   }
468 
469   // Restore input arrays
470   CeedCallBackend(CeedOperatorRestoreInputs_Ref(num_input_fields, qf_input_fields, op_input_fields, false, e_data_full, impl));
471   CeedCallBackend(CeedQFunctionDestroy(&qf));
472   return CEED_ERROR_SUCCESS;
473 }
474 
475 //------------------------------------------------------------------------------
476 // Core code for assembling linear QFunction
477 //------------------------------------------------------------------------------
478 static inline int CeedOperatorLinearAssembleQFunctionCore_Ref(CeedOperator op, bool build_objects, CeedVector *assembled, CeedElemRestriction *rstr,
479                                                               CeedRequest *request) {
480   Ceed                ceed_parent;
481   CeedInt             qf_size_in, qf_size_out, Q, num_elem, num_input_fields, num_output_fields;
482   CeedScalar         *assembled_array, *e_data_full[2 * CEED_FIELD_MAX] = {NULL};
483   CeedQFunctionField *qf_input_fields, *qf_output_fields;
484   CeedQFunction       qf;
485   CeedOperatorField  *op_input_fields, *op_output_fields;
486   CeedOperator_Ref   *impl;
487 
488   CeedCallBackend(CeedOperatorGetFallbackParentCeed(op, &ceed_parent));
489   CeedCallBackend(CeedOperatorGetData(op, &impl));
490   qf_size_in  = impl->qf_size_in;
491   qf_size_out = impl->qf_size_out;
492   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
493   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
494   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
495   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
496   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
497 
498   // Setup
499   CeedCallBackend(CeedOperatorSetup_Ref(op));
500 
501   // Check for restriction only operator
502   CeedCheck(!impl->is_identity_rstr_op, CeedOperatorReturnCeed(op), CEED_ERROR_BACKEND, "Assembling restriction only operators is not supported");
503 
504   // Input Evecs and Restriction
505   CeedCallBackend(CeedOperatorSetupInputs_Ref(num_input_fields, qf_input_fields, op_input_fields, NULL, true, e_data_full, impl, request));
506 
507   // Count number of active input fields
508   if (qf_size_in == 0) {
509     for (CeedInt i = 0; i < num_input_fields; i++) {
510       CeedInt    field_size;
511       CeedVector vec;
512 
513       // Get input vector
514       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
515       // Check if active input
516       if (vec == CEED_VECTOR_ACTIVE) {
517         CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &field_size));
518         CeedCallBackend(CeedVectorSetValue(impl->q_vecs_in[i], 0.0));
519         qf_size_in += field_size;
520       }
521       CeedCallBackend(CeedVectorDestroy(&vec));
522     }
523     CeedCheck(qf_size_in > 0, CeedOperatorReturnCeed(op), CEED_ERROR_BACKEND, "Cannot assemble QFunction without active inputs and outputs");
524     impl->qf_size_in = qf_size_in;
525   }
526 
527   // Count number of active output fields
528   if (qf_size_out == 0) {
529     for (CeedInt i = 0; i < num_output_fields; i++) {
530       CeedInt    field_size;
531       CeedVector vec;
532 
533       // Get output vector
534       CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
535       // Check if active output
536       if (vec == CEED_VECTOR_ACTIVE) {
537         CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[i], &field_size));
538         qf_size_out += field_size;
539       }
540       CeedCallBackend(CeedVectorDestroy(&vec));
541     }
542     CeedCheck(qf_size_out > 0, CeedOperatorReturnCeed(op), CEED_ERROR_BACKEND, "Cannot assemble QFunction without active inputs and outputs");
543     impl->qf_size_out = qf_size_out;
544   }
545 
546   // Build objects if needed
547   if (build_objects) {
548     const CeedSize l_size     = (CeedSize)num_elem * Q * qf_size_in * qf_size_out;
549     CeedInt        strides[3] = {1, Q, qf_size_in * qf_size_out * Q}; /* *NOPAD* */
550 
551     // Create output restriction
552     CeedCallBackend(CeedElemRestrictionCreateStrided(ceed_parent, num_elem, Q, qf_size_in * qf_size_out,
553                                                      (CeedSize)qf_size_in * (CeedSize)qf_size_out * (CeedSize)num_elem * (CeedSize)Q, strides, rstr));
554     // Create assembled vector
555     CeedCallBackend(CeedVectorCreate(ceed_parent, l_size, assembled));
556   }
557   // Clear output vector
558   CeedCallBackend(CeedVectorSetValue(*assembled, 0.0));
559   CeedCallBackend(CeedVectorGetArray(*assembled, CEED_MEM_HOST, &assembled_array));
560 
561   // Loop through elements
562   for (CeedInt e = 0; e < num_elem; e++) {
563     // Input basis apply
564     CeedCallBackend(CeedOperatorInputBasis_Ref(e, Q, qf_input_fields, op_input_fields, num_input_fields, true, e_data_full, impl));
565 
566     // Assemble QFunction
567 
568     for (CeedInt i = 0; i < num_input_fields; i++) {
569       bool       is_active;
570       CeedInt    field_size;
571       CeedVector vec;
572 
573       // Set Inputs
574       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
575       is_active = vec == CEED_VECTOR_ACTIVE;
576       CeedCallBackend(CeedVectorDestroy(&vec));
577       if (!is_active) continue;
578       CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &field_size));
579       for (CeedInt field = 0; field < field_size; field++) {
580         // Set current portion of input to 1.0
581         {
582           CeedScalar *array;
583 
584           CeedCallBackend(CeedVectorGetArray(impl->q_vecs_in[i], CEED_MEM_HOST, &array));
585           for (CeedInt j = 0; j < Q; j++) array[field * Q + j] = 1.0;
586           CeedCallBackend(CeedVectorRestoreArray(impl->q_vecs_in[i], &array));
587         }
588 
589         if (!impl->is_identity_qf) {
590           // Set Outputs
591           for (CeedInt out = 0; out < num_output_fields; out++) {
592             CeedVector vec;
593 
594             // Get output vector
595             CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
596             // Check if active output
597             if (vec == CEED_VECTOR_ACTIVE) {
598               CeedInt field_size;
599 
600               CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[out], CEED_MEM_HOST, CEED_USE_POINTER, assembled_array));
601               CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[out], &field_size));
602               assembled_array += field_size * Q;  // Advance the pointer by the size of the output
603             }
604             CeedCallBackend(CeedVectorDestroy(&vec));
605           }
606           // Apply QFunction
607           CeedCallBackend(CeedQFunctionApply(qf, Q, impl->q_vecs_in, impl->q_vecs_out));
608         } else {
609           CeedInt           field_size;
610           const CeedScalar *array;
611 
612           // Copy Identity Outputs
613           CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[0], &field_size));
614           CeedCallBackend(CeedVectorGetArrayRead(impl->q_vecs_out[0], CEED_MEM_HOST, &array));
615           for (CeedInt j = 0; j < field_size * Q; j++) assembled_array[j] = array[j];
616           CeedCallBackend(CeedVectorRestoreArrayRead(impl->q_vecs_out[0], &array));
617           assembled_array += field_size * Q;
618         }
619         // Reset input to 0.0
620         {
621           CeedScalar *array;
622 
623           CeedCallBackend(CeedVectorGetArray(impl->q_vecs_in[i], CEED_MEM_HOST, &array));
624           for (CeedInt j = 0; j < Q; j++) array[field * Q + j] = 0.0;
625           CeedCallBackend(CeedVectorRestoreArray(impl->q_vecs_in[i], &array));
626         }
627       }
628     }
629   }
630 
631   // Un-set output Qvecs to prevent accidental overwrite of Assembled
632   if (!impl->is_identity_qf) {
633     for (CeedInt out = 0; out < num_output_fields; out++) {
634       CeedVector vec;
635 
636       // Get output vector
637       CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
638       // Check if active output
639       if (vec == CEED_VECTOR_ACTIVE && num_elem > 0) {
640         CeedCallBackend(CeedVectorTakeArray(impl->q_vecs_out[out], CEED_MEM_HOST, NULL));
641       }
642       CeedCallBackend(CeedVectorDestroy(&vec));
643     }
644   }
645 
646   // Restore input arrays
647   CeedCallBackend(CeedOperatorRestoreInputs_Ref(num_input_fields, qf_input_fields, op_input_fields, true, e_data_full, impl));
648 
649   // Restore output
650   CeedCallBackend(CeedVectorRestoreArray(*assembled, &assembled_array));
651   CeedCallBackend(CeedDestroy(&ceed_parent));
652   CeedCallBackend(CeedQFunctionDestroy(&qf));
653   return CEED_ERROR_SUCCESS;
654 }
655 
656 //------------------------------------------------------------------------------
657 // Assemble Linear QFunction
658 //------------------------------------------------------------------------------
659 static int CeedOperatorLinearAssembleQFunction_Ref(CeedOperator op, CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request) {
660   return CeedOperatorLinearAssembleQFunctionCore_Ref(op, true, assembled, rstr, request);
661 }
662 
663 //------------------------------------------------------------------------------
664 // Update Assembled Linear QFunction
665 //------------------------------------------------------------------------------
666 static int CeedOperatorLinearAssembleQFunctionUpdate_Ref(CeedOperator op, CeedVector assembled, CeedElemRestriction rstr, CeedRequest *request) {
667   return CeedOperatorLinearAssembleQFunctionCore_Ref(op, false, &assembled, &rstr, request);
668 }
669 
670 //------------------------------------------------------------------------------
671 // Setup Input/Output Fields
672 //------------------------------------------------------------------------------
673 static int CeedOperatorSetupFieldsAtPoints_Ref(CeedQFunction qf, CeedOperator op, bool is_input, bool *skip_rstr, bool *apply_add_basis,
674                                                CeedVector *e_vecs_full, CeedVector *e_vecs, CeedVector *q_vecs, CeedInt start_e, CeedInt num_fields,
675                                                CeedInt Q) {
676   Ceed                ceed;
677   CeedSize            e_size, q_size;
678   CeedInt             max_num_points, num_comp, size, P;
679   CeedQFunctionField *qf_fields;
680   CeedOperatorField  *op_fields;
681 
682   {
683     Ceed ceed_parent;
684 
685     CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
686     CeedCallBackend(CeedGetParent(ceed, &ceed_parent));
687     CeedCallBackend(CeedReferenceCopy(ceed_parent, &ceed));
688     CeedCallBackend(CeedDestroy(&ceed_parent));
689   }
690   if (is_input) {
691     CeedCallBackend(CeedOperatorGetFields(op, NULL, &op_fields, NULL, NULL));
692     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_fields, NULL, NULL));
693   } else {
694     CeedCallBackend(CeedOperatorGetFields(op, NULL, NULL, NULL, &op_fields));
695     CeedCallBackend(CeedQFunctionGetFields(qf, NULL, NULL, NULL, &qf_fields));
696   }
697 
698   // Get max number of points
699   {
700     CeedInt             dim;
701     CeedElemRestriction rstr_points = NULL;
702     CeedOperator_Ref   *impl;
703 
704     CeedCallBackend(CeedOperatorAtPointsGetPoints(op, &rstr_points, NULL));
705     CeedCallBackend(CeedElemRestrictionGetMaxPointsInElement(rstr_points, &max_num_points));
706     CeedCallBackend(CeedElemRestrictionGetNumComponents(rstr_points, &dim));
707     CeedCallBackend(CeedElemRestrictionDestroy(&rstr_points));
708     CeedCallBackend(CeedOperatorGetData(op, &impl));
709     if (is_input) {
710       CeedCallBackend(CeedVectorCreate(ceed, dim * max_num_points, &impl->point_coords_elem));
711       CeedCallBackend(CeedVectorSetValue(impl->point_coords_elem, 0.0));
712     }
713   }
714 
715   // Loop over fields
716   for (CeedInt i = 0; i < num_fields; i++) {
717     CeedEvalMode eval_mode;
718     CeedBasis    basis;
719 
720     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_fields[i], &eval_mode));
721     if (eval_mode != CEED_EVAL_WEIGHT) {
722       CeedElemRestriction elem_rstr;
723 
724       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[i], &elem_rstr));
725       CeedCallBackend(CeedElemRestrictionCreateVector(elem_rstr, NULL, &e_vecs_full[i + start_e]));
726       CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
727       CeedCallBackend(CeedVectorSetValue(e_vecs_full[i + start_e], 0.0));
728     }
729 
730     switch (eval_mode) {
731       case CEED_EVAL_NONE: {
732         CeedVector vec;
733 
734         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
735         e_size = (CeedSize)max_num_points * size;
736         CeedCallBackend(CeedVectorCreate(ceed, e_size, &e_vecs[i]));
737         CeedCallBackend(CeedOperatorFieldGetVector(op_fields[i], &vec));
738         if (vec == CEED_VECTOR_ACTIVE || !is_input) {
739           CeedCallBackend(CeedVectorReferenceCopy(e_vecs[i], &q_vecs[i]));
740         } else {
741           q_size = (CeedSize)max_num_points * size;
742           CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
743         }
744         CeedCallBackend(CeedVectorDestroy(&vec));
745         break;
746       }
747       case CEED_EVAL_INTERP:
748       case CEED_EVAL_GRAD:
749       case CEED_EVAL_DIV:
750       case CEED_EVAL_CURL:
751         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
752         CeedCallBackend(CeedQFunctionFieldGetSize(qf_fields[i], &size));
753         CeedCallBackend(CeedBasisGetNumNodes(basis, &P));
754         CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
755         e_size = (CeedSize)P * num_comp;
756         CeedCallBackend(CeedVectorCreate(ceed, e_size, &e_vecs[i]));
757         q_size = (CeedSize)max_num_points * size;
758         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
759         CeedCallBackend(CeedBasisDestroy(&basis));
760         break;
761       case CEED_EVAL_WEIGHT:  // Only on input fields
762         CeedCallBackend(CeedOperatorFieldGetBasis(op_fields[i], &basis));
763         q_size = (CeedSize)max_num_points;
764         CeedCallBackend(CeedVectorCreate(ceed, q_size, &q_vecs[i]));
765         CeedCallBackend(
766             CeedBasisApplyAtPoints(basis, 1, &max_num_points, CEED_NOTRANSPOSE, CEED_EVAL_WEIGHT, CEED_VECTOR_NONE, CEED_VECTOR_NONE, q_vecs[i]));
767         CeedCallBackend(CeedBasisDestroy(&basis));
768         break;
769     }
770     // Initialize full arrays for E-vectors and Q-vectors
771     if (e_vecs[i]) CeedCallBackend(CeedVectorSetValue(e_vecs[i], 0.0));
772     if (eval_mode != CEED_EVAL_WEIGHT) CeedCallBackend(CeedVectorSetValue(q_vecs[i], 0.0));
773   }
774   // Drop duplicate restrictions
775   if (is_input) {
776     for (CeedInt i = 0; i < num_fields; i++) {
777       CeedVector          vec_i;
778       CeedElemRestriction rstr_i;
779 
780       CeedCallBackend(CeedOperatorFieldGetVector(op_fields[i], &vec_i));
781       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[i], &rstr_i));
782       for (CeedInt j = i + 1; j < num_fields; j++) {
783         CeedVector          vec_j;
784         CeedElemRestriction rstr_j;
785 
786         CeedCallBackend(CeedOperatorFieldGetVector(op_fields[j], &vec_j));
787         CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[j], &rstr_j));
788         if (vec_i == vec_j && rstr_i == rstr_j) {
789           CeedCallBackend(CeedVectorReferenceCopy(e_vecs[i], &e_vecs[j]));
790           CeedCallBackend(CeedVectorReferenceCopy(e_vecs_full[i + start_e], &e_vecs_full[j + start_e]));
791           skip_rstr[j] = true;
792         }
793         CeedCallBackend(CeedVectorDestroy(&vec_j));
794         CeedCallBackend(CeedElemRestrictionDestroy(&rstr_j));
795       }
796       CeedCallBackend(CeedVectorDestroy(&vec_i));
797       CeedCallBackend(CeedElemRestrictionDestroy(&rstr_i));
798     }
799   } else {
800     for (CeedInt i = num_fields - 1; i >= 0; i--) {
801       CeedVector          vec_i;
802       CeedElemRestriction rstr_i;
803 
804       CeedCallBackend(CeedOperatorFieldGetVector(op_fields[i], &vec_i));
805       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[i], &rstr_i));
806       for (CeedInt j = i - 1; j >= 0; j--) {
807         CeedVector          vec_j;
808         CeedElemRestriction rstr_j;
809 
810         CeedCallBackend(CeedOperatorFieldGetVector(op_fields[j], &vec_j));
811         CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_fields[j], &rstr_j));
812         if (vec_i == vec_j && rstr_i == rstr_j) {
813           CeedCallBackend(CeedVectorReferenceCopy(e_vecs[i], &e_vecs[j]));
814           CeedCallBackend(CeedVectorReferenceCopy(e_vecs_full[i + start_e], &e_vecs_full[j + start_e]));
815           skip_rstr[j]       = true;
816           apply_add_basis[i] = true;
817         }
818         CeedCallBackend(CeedVectorDestroy(&vec_j));
819         CeedCallBackend(CeedElemRestrictionDestroy(&rstr_j));
820       }
821       CeedCallBackend(CeedVectorDestroy(&vec_i));
822       CeedCallBackend(CeedElemRestrictionDestroy(&rstr_i));
823     }
824   }
825   CeedCallBackend(CeedDestroy(&ceed));
826   return CEED_ERROR_SUCCESS;
827 }
828 
829 //------------------------------------------------------------------------------
830 // Setup Operator
831 //------------------------------------------------------------------------------
832 static int CeedOperatorSetupAtPoints_Ref(CeedOperator op) {
833   bool                is_setup_done;
834   CeedInt             Q, num_input_fields, num_output_fields;
835   CeedQFunctionField *qf_input_fields, *qf_output_fields;
836   CeedQFunction       qf;
837   CeedOperatorField  *op_input_fields, *op_output_fields;
838   CeedOperator_Ref   *impl;
839 
840   CeedCallBackend(CeedOperatorIsSetupDone(op, &is_setup_done));
841   if (is_setup_done) return CEED_ERROR_SUCCESS;
842 
843   CeedCallBackend(CeedOperatorGetData(op, &impl));
844   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
845   CeedCallBackend(CeedOperatorGetNumQuadraturePoints(op, &Q));
846   CeedCallBackend(CeedQFunctionIsIdentity(qf, &impl->is_identity_qf));
847   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
848   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
849 
850   // Allocate
851   CeedCallBackend(CeedCalloc(num_input_fields + num_output_fields, &impl->e_vecs_full));
852 
853   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->skip_rstr_in));
854   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->skip_rstr_out));
855   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->apply_add_basis_out));
856   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->input_states));
857   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_in));
858   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->e_vecs_out));
859   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_in));
860   CeedCallBackend(CeedCalloc(CEED_FIELD_MAX, &impl->q_vecs_out));
861 
862   impl->num_inputs  = num_input_fields;
863   impl->num_outputs = num_output_fields;
864 
865   // Set up infield and outfield pointer arrays
866   // Infields
867   CeedCallBackend(CeedOperatorSetupFieldsAtPoints_Ref(qf, op, true, impl->skip_rstr_in, NULL, impl->e_vecs_full, impl->e_vecs_in, impl->q_vecs_in, 0,
868                                                       num_input_fields, Q));
869   // Outfields
870   CeedCallBackend(CeedOperatorSetupFieldsAtPoints_Ref(qf, op, false, impl->skip_rstr_out, impl->apply_add_basis_out, impl->e_vecs_full,
871                                                       impl->e_vecs_out, impl->q_vecs_out, num_input_fields, num_output_fields, Q));
872 
873   // Identity QFunctions
874   if (impl->is_identity_qf) {
875     CeedCallBackend(CeedVectorReferenceCopy(impl->q_vecs_in[0], &impl->q_vecs_out[0]));
876     CeedCallBackend(CeedVectorReferenceCopy(impl->q_vecs_in[0], &impl->e_vecs_out[0]));
877   }
878 
879   CeedCallBackend(CeedOperatorSetSetupDone(op));
880   CeedCallBackend(CeedQFunctionDestroy(&qf));
881   return CEED_ERROR_SUCCESS;
882 }
883 
884 //------------------------------------------------------------------------------
885 // Input Basis Action
886 //------------------------------------------------------------------------------
887 static inline int CeedOperatorInputBasisAtPoints_Ref(CeedInt e, CeedInt num_points_offset, CeedInt num_points, CeedQFunctionField *qf_input_fields,
888                                                      CeedOperatorField *op_input_fields, CeedInt num_input_fields, CeedVector in_vec,
889                                                      CeedVector point_coords_elem, bool skip_active, bool skip_passive,
890                                                      CeedScalar *e_data[2 * CEED_FIELD_MAX], CeedOperator_Ref *impl, CeedRequest *request) {
891   for (CeedInt i = 0; i < num_input_fields; i++) {
892     bool                is_active;
893     CeedInt             elem_size, size, num_comp;
894     CeedRestrictionType rstr_type;
895     CeedEvalMode        eval_mode;
896     CeedVector          vec;
897     CeedElemRestriction elem_rstr;
898     CeedBasis           basis;
899 
900     // Skip active input
901     CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
902     is_active = vec == CEED_VECTOR_ACTIVE;
903     CeedCallBackend(CeedVectorDestroy(&vec));
904     if (skip_active && is_active) continue;
905     if (skip_passive && !is_active) continue;
906 
907     // Get elem_size, eval_mode, size
908     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_input_fields[i], &elem_rstr));
909     CeedCallBackend(CeedElemRestrictionGetType(elem_rstr, &rstr_type));
910     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_input_fields[i], &eval_mode));
911     CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &size));
912     // Restrict block active input
913     // When skipping passive inputs, we're doing assembly and should not restrict
914     if (is_active && !impl->skip_rstr_in[i] && !skip_passive) {
915       if (rstr_type == CEED_RESTRICTION_POINTS) {
916         CeedCallBackend(CeedElemRestrictionApplyAtPointsInElement(elem_rstr, e, CEED_NOTRANSPOSE, in_vec, impl->e_vecs_in[i], request));
917       } else {
918         CeedCallBackend(CeedElemRestrictionApplyBlock(elem_rstr, e, CEED_NOTRANSPOSE, in_vec, impl->e_vecs_in[i], request));
919       }
920     }
921     // Basis action
922     switch (eval_mode) {
923       case CEED_EVAL_NONE:
924         if (!is_active) {
925           CeedCallBackend(CeedVectorSetArray(impl->q_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data[i][num_points_offset * size]));
926         }
927         break;
928       // Note - these basis eval modes require FEM fields
929       case CEED_EVAL_INTERP:
930       case CEED_EVAL_GRAD:
931       case CEED_EVAL_DIV:
932       case CEED_EVAL_CURL:
933         CeedCallBackend(CeedOperatorFieldGetBasis(op_input_fields[i], &basis));
934         if (!is_active) {
935           CeedCallBackend(CeedBasisGetNumComponents(basis, &num_comp));
936           CeedCallBackend(CeedElemRestrictionGetElementSize(elem_rstr, &elem_size));
937           CeedCallBackend(CeedVectorSetArray(impl->e_vecs_in[i], CEED_MEM_HOST, CEED_USE_POINTER, &e_data[i][(CeedSize)e * elem_size * num_comp]));
938         }
939         CeedCallBackend(
940             CeedBasisApplyAtPoints(basis, 1, &num_points, CEED_NOTRANSPOSE, eval_mode, point_coords_elem, impl->e_vecs_in[i], impl->q_vecs_in[i]));
941         CeedCallBackend(CeedBasisDestroy(&basis));
942         break;
943       case CEED_EVAL_WEIGHT:
944         break;  // No action
945     }
946     CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
947   }
948   return CEED_ERROR_SUCCESS;
949 }
950 
951 //------------------------------------------------------------------------------
952 // Output Basis Action
953 //------------------------------------------------------------------------------
954 static inline int CeedOperatorOutputBasisAtPoints_Ref(CeedInt e, CeedInt num_points_offset, CeedInt num_points, CeedQFunctionField *qf_output_fields,
955                                                       CeedOperatorField *op_output_fields, CeedInt num_input_fields, CeedInt num_output_fields,
956                                                       bool *apply_add_basis, bool *skip_rstr, CeedOperator op, CeedVector out_vec,
957                                                       CeedVector point_coords_elem, bool skip_passive, CeedOperator_Ref *impl, CeedRequest *request) {
958   for (CeedInt i = 0; i < num_output_fields; i++) {
959     bool                is_active;
960     CeedRestrictionType rstr_type;
961     CeedEvalMode        eval_mode;
962     CeedVector          vec;
963     CeedElemRestriction elem_rstr;
964     CeedBasis           basis;
965 
966     // Skip active input
967     CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
968     is_active = vec == CEED_VECTOR_ACTIVE;
969     CeedCallBackend(CeedVectorDestroy(&vec));
970     if (skip_passive && !is_active) continue;
971 
972     // Get elem_size, eval_mode, size
973     CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_output_fields[i], &elem_rstr));
974     CeedCallBackend(CeedQFunctionFieldGetEvalMode(qf_output_fields[i], &eval_mode));
975     // Basis action
976     switch (eval_mode) {
977       case CEED_EVAL_NONE:
978         break;  // No action
979       case CEED_EVAL_INTERP:
980       case CEED_EVAL_GRAD:
981       case CEED_EVAL_DIV:
982       case CEED_EVAL_CURL:
983         CeedCallBackend(CeedOperatorFieldGetBasis(op_output_fields[i], &basis));
984         if (apply_add_basis[i]) {
985           CeedCallBackend(CeedBasisApplyAddAtPoints(basis, 1, &num_points, CEED_TRANSPOSE, eval_mode, point_coords_elem, impl->q_vecs_out[i],
986                                                     impl->e_vecs_out[i]));
987         } else {
988           CeedCallBackend(
989               CeedBasisApplyAtPoints(basis, 1, &num_points, CEED_TRANSPOSE, eval_mode, point_coords_elem, impl->q_vecs_out[i], impl->e_vecs_out[i]));
990         }
991         CeedCallBackend(CeedBasisDestroy(&basis));
992         break;
993       // LCOV_EXCL_START
994       case CEED_EVAL_WEIGHT: {
995         return CeedError(CeedOperatorReturnCeed(op), CEED_ERROR_BACKEND, "CEED_EVAL_WEIGHT cannot be an output evaluation mode");
996         // LCOV_EXCL_STOP
997       }
998     }
999     // Restrict output block
1000     // When skipping passive outputs, we're doing assembly and should not restrict
1001     if (skip_rstr[i] || skip_passive) {
1002       CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
1003       continue;
1004     }
1005 
1006     // Get output vector
1007     CeedCallBackend(CeedElemRestrictionGetType(elem_rstr, &rstr_type));
1008     CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
1009     if (is_active) vec = out_vec;
1010     // Restrict
1011     if (rstr_type == CEED_RESTRICTION_POINTS) {
1012       CeedCallBackend(CeedElemRestrictionApplyAtPointsInElement(elem_rstr, e, CEED_TRANSPOSE, impl->e_vecs_out[i], vec, request));
1013     } else {
1014       CeedCallBackend(CeedElemRestrictionApplyBlock(elem_rstr, e, CEED_TRANSPOSE, impl->e_vecs_out[i], vec, request));
1015     }
1016     if (!is_active) CeedCallBackend(CeedVectorDestroy(&vec));
1017     CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
1018   }
1019   return CEED_ERROR_SUCCESS;
1020 }
1021 
1022 //------------------------------------------------------------------------------
1023 // Operator Apply
1024 //------------------------------------------------------------------------------
1025 static int CeedOperatorApplyAddAtPoints_Ref(CeedOperator op, CeedVector in_vec, CeedVector out_vec, CeedRequest *request) {
1026   CeedInt             num_points_offset          = 0, num_input_fields, num_output_fields, num_elem;
1027   CeedScalar         *e_data[2 * CEED_FIELD_MAX] = {0};
1028   CeedVector          point_coords               = NULL;
1029   CeedElemRestriction rstr_points                = NULL;
1030   CeedQFunctionField *qf_input_fields, *qf_output_fields;
1031   CeedQFunction       qf;
1032   CeedOperatorField  *op_input_fields, *op_output_fields;
1033   CeedOperator_Ref   *impl;
1034 
1035   CeedCallBackend(CeedOperatorGetData(op, &impl));
1036   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
1037   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
1038   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
1039   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
1040 
1041   // Setup
1042   CeedCallBackend(CeedOperatorSetupAtPoints_Ref(op));
1043 
1044   // Point coordinates
1045   CeedCallBackend(CeedOperatorAtPointsGetPoints(op, &rstr_points, &point_coords));
1046 
1047   // Input Evecs and Restriction
1048   CeedCallBackend(CeedOperatorSetupInputs_Ref(num_input_fields, qf_input_fields, op_input_fields, NULL, true, e_data, impl, request));
1049 
1050   // Loop through elements
1051   for (CeedInt e = 0; e < num_elem; e++) {
1052     CeedInt num_points;
1053 
1054     // Setup points for element
1055     CeedCallBackend(CeedElemRestrictionApplyAtPointsInElement(rstr_points, e, CEED_NOTRANSPOSE, point_coords, impl->point_coords_elem, request));
1056     CeedCallBackend(CeedElemRestrictionGetNumPointsInElement(rstr_points, e, &num_points));
1057     if (num_points < 1) continue;
1058 
1059     // Input basis apply
1060     CeedCallBackend(CeedOperatorInputBasisAtPoints_Ref(e, num_points_offset, num_points, qf_input_fields, op_input_fields, num_input_fields, in_vec,
1061                                                        impl->point_coords_elem, false, false, e_data, impl, request));
1062 
1063     // Q function
1064     if (!impl->is_identity_qf) {
1065       CeedCallBackend(CeedQFunctionApply(qf, num_points, impl->q_vecs_in, impl->q_vecs_out));
1066     }
1067 
1068     // Output basis apply and restriction
1069     CeedCallBackend(CeedOperatorOutputBasisAtPoints_Ref(e, num_points_offset, num_points, qf_output_fields, op_output_fields, num_input_fields,
1070                                                         num_output_fields, impl->apply_add_basis_out, impl->skip_rstr_out, op, out_vec,
1071                                                         impl->point_coords_elem, false, impl, request));
1072 
1073     num_points_offset += num_points;
1074   }
1075 
1076   // Restore input arrays
1077   CeedCallBackend(CeedOperatorRestoreInputs_Ref(num_input_fields, qf_input_fields, op_input_fields, true, e_data, impl));
1078 
1079   // Cleanup point coordinates
1080   CeedCallBackend(CeedVectorDestroy(&point_coords));
1081   CeedCallBackend(CeedElemRestrictionDestroy(&rstr_points));
1082   CeedCallBackend(CeedQFunctionDestroy(&qf));
1083   return CEED_ERROR_SUCCESS;
1084 }
1085 
1086 //------------------------------------------------------------------------------
1087 // Core code for assembling linear QFunction
1088 //------------------------------------------------------------------------------
1089 static inline int CeedOperatorLinearAssembleQFunctionAtPointsCore_Ref(CeedOperator op, bool build_objects, CeedVector *assembled,
1090                                                                       CeedElemRestriction *rstr, CeedRequest *request) {
1091   Ceed                ceed;
1092   CeedInt             qf_size_in, qf_size_out, max_num_points, num_elem, num_input_fields, num_output_fields, num_points_offset = 0;
1093   CeedScalar         *assembled_array, *e_data_full[2 * CEED_FIELD_MAX] = {NULL};
1094   CeedVector          point_coords = NULL;
1095   CeedQFunctionField *qf_input_fields, *qf_output_fields;
1096   CeedQFunction       qf;
1097   CeedOperatorField  *op_input_fields, *op_output_fields;
1098   CeedOperator_Ref   *impl;
1099   CeedElemRestriction rstr_points = NULL;
1100 
1101   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
1102   CeedCallBackend(CeedOperatorGetData(op, &impl));
1103   qf_size_in  = impl->qf_size_in;
1104   qf_size_out = impl->qf_size_out;
1105   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
1106   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
1107   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
1108   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
1109 
1110   // Setup
1111   CeedCallBackend(CeedOperatorSetupAtPoints_Ref(op));
1112 
1113   // Check for restriction only operator
1114   CeedCheck(!impl->is_identity_rstr_op, ceed, CEED_ERROR_BACKEND, "Assembling restriction only operators is not supported");
1115 
1116   // Point coordinates
1117   CeedCallBackend(CeedOperatorAtPointsGetPoints(op, &rstr_points, &point_coords));
1118   CeedCallBackend(CeedElemRestrictionGetMaxPointsInElement(rstr_points, &max_num_points));
1119 
1120   // Input Evecs and Restriction
1121   CeedCallBackend(CeedOperatorSetupInputs_Ref(num_input_fields, qf_input_fields, op_input_fields, NULL, true, e_data_full, impl, request));
1122 
1123   // Count number of active input fields
1124   if (qf_size_in == 0) {
1125     for (CeedInt i = 0; i < num_input_fields; i++) {
1126       CeedInt    field_size;
1127       CeedVector vec;
1128 
1129       // Get input vector
1130       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
1131       // Check if active input
1132       if (vec == CEED_VECTOR_ACTIVE) {
1133         // Check that all active inputs are nodal fields
1134         {
1135           CeedElemRestriction elem_rstr;
1136           bool                is_at_points = false;
1137 
1138           CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_input_fields[i], &elem_rstr));
1139           CeedCallBackend(CeedElemRestrictionIsAtPoints(elem_rstr, &is_at_points));
1140           CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
1141           CeedCheck(!is_at_points, ceed, CEED_ERROR_BACKEND, "Cannot assemble QFunction with active input at points");
1142         }
1143         // Get size of active input
1144         CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &field_size));
1145         qf_size_in += field_size;
1146       }
1147       CeedCallBackend(CeedVectorDestroy(&vec));
1148     }
1149     CeedCheck(qf_size_in, ceed, CEED_ERROR_BACKEND, "Cannot assemble QFunction without active inputs and outputs");
1150     impl->qf_size_in = qf_size_in;
1151   }
1152 
1153   // Count number of active output fields
1154   if (qf_size_out == 0) {
1155     for (CeedInt i = 0; i < num_output_fields; i++) {
1156       CeedInt    field_size;
1157       CeedVector vec;
1158 
1159       // Get output vector
1160       CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[i], &vec));
1161       // Check if active output
1162       if (vec == CEED_VECTOR_ACTIVE) {
1163         // Check that all active inputs are nodal fields
1164         {
1165           CeedElemRestriction elem_rstr;
1166           bool                is_at_points = false;
1167 
1168           CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_output_fields[i], &elem_rstr));
1169           CeedCallBackend(CeedElemRestrictionIsAtPoints(elem_rstr, &is_at_points));
1170           CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
1171           CeedCheck(!is_at_points, ceed, CEED_ERROR_BACKEND, "Cannot assemble QFunction with active input at points");
1172         }
1173         // Get size of active output
1174         CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[i], &field_size));
1175         CeedCallBackend(CeedVectorSetValue(impl->q_vecs_in[i], 0.0));
1176         qf_size_out += field_size;
1177       }
1178       CeedCallBackend(CeedVectorDestroy(&vec));
1179     }
1180     CeedCheck(qf_size_out > 0, ceed, CEED_ERROR_BACKEND, "Cannot assemble QFunction without active inputs and outputs");
1181     impl->qf_size_out = qf_size_out;
1182   }
1183 
1184   // Build objects if needed
1185   if (build_objects) {
1186     CeedInt        num_points_total;
1187     const CeedInt *offsets;
1188 
1189     CeedCallBackend(CeedElemRestrictionGetNumPoints(rstr_points, &num_points_total));
1190 
1191     // Create output restriction (at points)
1192     CeedCallBackend(CeedElemRestrictionGetOffsets(rstr_points, CEED_MEM_HOST, &offsets));
1193     CeedCallBackend(CeedElemRestrictionCreateAtPoints(ceed, num_elem, num_points_total, qf_size_in * qf_size_out,
1194                                                       qf_size_in * qf_size_out * num_points_total, CEED_MEM_HOST, CEED_COPY_VALUES, offsets, rstr));
1195     CeedCallBackend(CeedElemRestrictionRestoreOffsets(rstr_points, &offsets));
1196 
1197     // Create assembled vector
1198     CeedCallBackend(CeedElemRestrictionCreateVector(*rstr, assembled, NULL));
1199   }
1200   // Clear output vector
1201   CeedCallBackend(CeedVectorSetValue(*assembled, 0.0));
1202   CeedCallBackend(CeedVectorGetArray(*assembled, CEED_MEM_HOST, &assembled_array));
1203 
1204   // Loop through elements
1205   for (CeedInt e = 0; e < num_elem; e++) {
1206     CeedInt num_points;
1207 
1208     // Setup points for element
1209     CeedCallBackend(CeedElemRestrictionApplyAtPointsInElement(rstr_points, e, CEED_NOTRANSPOSE, point_coords, impl->point_coords_elem, request));
1210     CeedCallBackend(CeedElemRestrictionGetNumPointsInElement(rstr_points, e, &num_points));
1211 
1212     // Input basis apply
1213     CeedCallBackend(CeedOperatorInputBasisAtPoints_Ref(e, num_points_offset, num_points, qf_input_fields, op_input_fields, num_input_fields, NULL,
1214                                                        impl->point_coords_elem, true, false, e_data_full, impl, request));
1215 
1216     // Assemble QFunction
1217     for (CeedInt i = 0; i < num_input_fields; i++) {
1218       bool       is_active;
1219       CeedInt    field_size;
1220       CeedVector vec;
1221 
1222       // Get input vector
1223       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
1224       is_active = vec == CEED_VECTOR_ACTIVE;
1225       CeedCallBackend(CeedVectorDestroy(&vec));
1226       // Check if active input
1227       if (!is_active) continue;
1228       // Get size of active input
1229       CeedCallBackend(CeedQFunctionFieldGetSize(qf_input_fields[i], &field_size));
1230       for (CeedInt field = 0; field < field_size; field++) {
1231         // Set current portion of input to 1.0
1232         {
1233           CeedScalar *array;
1234 
1235           CeedCallBackend(CeedVectorGetArray(impl->q_vecs_in[i], CEED_MEM_HOST, &array));
1236           for (CeedInt j = 0; j < num_points; j++) array[field * num_points + j] = 1.0;
1237           CeedCallBackend(CeedVectorRestoreArray(impl->q_vecs_in[i], &array));
1238         }
1239 
1240         if (!impl->is_identity_qf) {
1241           // Set Outputs
1242           for (CeedInt out = 0; out < num_output_fields; out++) {
1243             CeedVector vec;
1244             CeedInt    field_size;
1245 
1246             // Get output vector
1247             CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
1248             // Check if active output
1249             if (vec == CEED_VECTOR_ACTIVE) {
1250               CeedCallBackend(CeedVectorSetArray(impl->q_vecs_out[out], CEED_MEM_HOST, CEED_USE_POINTER, assembled_array));
1251               CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[out], &field_size));
1252               assembled_array += field_size * num_points;  // Advance the pointer by the size of the output
1253             }
1254             CeedCallBackend(CeedVectorDestroy(&vec));
1255           }
1256           // Apply QFunction
1257           CeedCallBackend(CeedQFunctionApply(qf, num_points, impl->q_vecs_in, impl->q_vecs_out));
1258         } else {
1259           const CeedScalar *array;
1260           CeedInt           field_size;
1261 
1262           // Copy Identity Outputs
1263           CeedCallBackend(CeedQFunctionFieldGetSize(qf_output_fields[0], &field_size));
1264           CeedCallBackend(CeedVectorGetArrayRead(impl->q_vecs_out[0], CEED_MEM_HOST, &array));
1265           for (CeedInt j = 0; j < field_size * num_points; j++) assembled_array[j] = array[j];
1266           CeedCallBackend(CeedVectorRestoreArrayRead(impl->q_vecs_out[0], &array));
1267           assembled_array += field_size * num_points;
1268         }
1269         // Reset input to 0.0
1270         {
1271           CeedScalar *array;
1272 
1273           CeedCallBackend(CeedVectorGetArray(impl->q_vecs_in[i], CEED_MEM_HOST, &array));
1274           for (CeedInt j = 0; j < num_points; j++) array[field * num_points + j] = 0.0;
1275           CeedCallBackend(CeedVectorRestoreArray(impl->q_vecs_in[i], &array));
1276         }
1277       }
1278     }
1279     num_points_offset += num_points;
1280   }
1281 
1282   // Un-set output Qvecs to prevent accidental overwrite of Assembled
1283   if (!impl->is_identity_qf) {
1284     for (CeedInt out = 0; out < num_output_fields; out++) {
1285       CeedVector vec;
1286 
1287       // Get output vector
1288       CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[out], &vec));
1289       // Check if active output
1290       if (vec == CEED_VECTOR_ACTIVE && num_elem > 0) {
1291         CeedCallBackend(CeedVectorTakeArray(impl->q_vecs_out[out], CEED_MEM_HOST, NULL));
1292       }
1293       CeedCallBackend(CeedVectorDestroy(&vec));
1294     }
1295   }
1296 
1297   // Restore input arrays
1298   CeedCallBackend(CeedOperatorRestoreInputs_Ref(num_input_fields, qf_input_fields, op_input_fields, true, e_data_full, impl));
1299 
1300   // Restore output
1301   CeedCallBackend(CeedVectorRestoreArray(*assembled, &assembled_array));
1302 
1303   // Cleanup
1304   CeedCallBackend(CeedDestroy(&ceed));
1305   CeedCallBackend(CeedVectorDestroy(&point_coords));
1306   CeedCallBackend(CeedElemRestrictionDestroy(&rstr_points));
1307   CeedCallBackend(CeedQFunctionDestroy(&qf));
1308   return CEED_ERROR_SUCCESS;
1309 }
1310 
1311 //------------------------------------------------------------------------------
1312 // Assemble Linear QFunction
1313 //------------------------------------------------------------------------------
1314 static int CeedOperatorLinearAssembleQFunctionAtPoints_Ref(CeedOperator op, CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request) {
1315   return CeedOperatorLinearAssembleQFunctionAtPointsCore_Ref(op, true, assembled, rstr, request);
1316 }
1317 
1318 //------------------------------------------------------------------------------
1319 // Update Assembled Linear QFunction
1320 //------------------------------------------------------------------------------
1321 static int CeedOperatorLinearAssembleQFunctionAtPointsUpdate_Ref(CeedOperator op, CeedVector assembled, CeedElemRestriction rstr,
1322                                                                  CeedRequest *request) {
1323   return CeedOperatorLinearAssembleQFunctionAtPointsCore_Ref(op, false, &assembled, &rstr, request);
1324 }
1325 
1326 //------------------------------------------------------------------------------
1327 // Assemble Operator Diagonal AtPoints
1328 //------------------------------------------------------------------------------
1329 static int CeedOperatorLinearAssembleAddDiagonalAtPoints_Ref(CeedOperator op, CeedVector assembled, CeedRequest *request) {
1330   CeedInt             num_points_offset = 0, num_input_fields, num_output_fields, num_elem, num_comp_active = 1;
1331   CeedScalar         *e_data[2 * CEED_FIELD_MAX] = {0};
1332   Ceed                ceed;
1333   CeedVector          point_coords = NULL, in_vec, out_vec;
1334   CeedElemRestriction rstr_points  = NULL;
1335   CeedQFunctionField *qf_input_fields, *qf_output_fields;
1336   CeedQFunction       qf;
1337   CeedOperatorField  *op_input_fields, *op_output_fields;
1338   CeedOperator_Ref   *impl;
1339 
1340   CeedCallBackend(CeedOperatorGetData(op, &impl));
1341   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
1342   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
1343   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
1344   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
1345 
1346   // Setup
1347   CeedCallBackend(CeedOperatorSetupAtPoints_Ref(op));
1348 
1349   // Ceed
1350   {
1351     Ceed ceed_parent;
1352 
1353     CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
1354     CeedCallBackend(CeedGetParent(ceed, &ceed_parent));
1355     CeedCallBackend(CeedReferenceCopy(ceed_parent, &ceed));
1356     CeedCallBackend(CeedDestroy(&ceed_parent));
1357   }
1358 
1359   // Point coordinates
1360   CeedCallBackend(CeedOperatorAtPointsGetPoints(op, &rstr_points, &point_coords));
1361 
1362   // Input and output vectors
1363   {
1364     CeedSize input_size, output_size;
1365 
1366     CeedCallBackend(CeedOperatorGetActiveVectorLengths(op, &input_size, &output_size));
1367     CeedCallBackend(CeedVectorCreate(ceed, input_size, &in_vec));
1368     CeedCallBackend(CeedVectorCreate(ceed, output_size, &out_vec));
1369     CeedCallBackend(CeedVectorSetValue(out_vec, 0.0));
1370   }
1371 
1372   // Clear input Evecs
1373   for (CeedInt i = 0; i < num_input_fields; i++) {
1374     bool       is_active;
1375     CeedVector vec;
1376 
1377     CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
1378     is_active = vec == CEED_VECTOR_ACTIVE;
1379     CeedCallBackend(CeedVectorDestroy(&vec));
1380     if (!is_active || impl->skip_rstr_in[i]) continue;
1381     CeedCallBackend(CeedVectorSetValue(impl->e_vecs_in[i], 0.0));
1382   }
1383 
1384   // Input Evecs and Restriction
1385   CeedCallBackend(CeedOperatorSetupInputs_Ref(num_input_fields, qf_input_fields, op_input_fields, NULL, true, e_data, impl, request));
1386 
1387   // Loop through elements
1388   for (CeedInt e = 0; e < num_elem; e++) {
1389     CeedInt num_points, e_vec_size = 0;
1390 
1391     // Setup points for element
1392     CeedCallBackend(CeedElemRestrictionApplyAtPointsInElement(rstr_points, e, CEED_NOTRANSPOSE, point_coords, impl->point_coords_elem, request));
1393     CeedCallBackend(CeedElemRestrictionGetNumPointsInElement(rstr_points, e, &num_points));
1394 
1395     // Input basis apply for non-active bases
1396     CeedCallBackend(CeedOperatorInputBasisAtPoints_Ref(e, num_points_offset, num_points, qf_input_fields, op_input_fields, num_input_fields, in_vec,
1397                                                        impl->point_coords_elem, true, false, e_data, impl, request));
1398 
1399     // Loop over points on element
1400     for (CeedInt i = 0; i < num_input_fields; i++) {
1401       bool                is_active_at_points = true, is_active;
1402       CeedInt             elem_size_active    = 1;
1403       CeedRestrictionType rstr_type;
1404       CeedVector          vec;
1405       CeedElemRestriction elem_rstr;
1406 
1407       // -- Skip non-active input
1408       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
1409       is_active = vec == CEED_VECTOR_ACTIVE;
1410       CeedCallBackend(CeedVectorDestroy(&vec));
1411       if (!is_active || impl->skip_rstr_in[i]) continue;
1412 
1413       // -- Get active restriction type
1414       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_input_fields[i], &elem_rstr));
1415       CeedCallBackend(CeedElemRestrictionGetType(elem_rstr, &rstr_type));
1416       is_active_at_points = rstr_type == CEED_RESTRICTION_POINTS;
1417       if (!is_active_at_points) CeedCallBackend(CeedElemRestrictionGetElementSize(elem_rstr, &elem_size_active));
1418       else elem_size_active = num_points;
1419       CeedCallBackend(CeedElemRestrictionGetNumComponents(elem_rstr, &num_comp_active));
1420       CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
1421 
1422       e_vec_size = elem_size_active * num_comp_active;
1423       for (CeedInt s = 0; s < e_vec_size; s++) {
1424         // -- Update unit vector
1425         {
1426           CeedScalar *array;
1427 
1428           CeedCallBackend(CeedVectorGetArray(impl->e_vecs_in[i], CEED_MEM_HOST, &array));
1429           array[s] = 1.0;
1430           if (s > 0) array[s - 1] = 0.0;
1431           CeedCallBackend(CeedVectorRestoreArray(impl->e_vecs_in[i], &array));
1432         }
1433         // Input basis apply for active bases
1434         CeedCallBackend(CeedOperatorInputBasisAtPoints_Ref(e, num_points_offset, num_points, qf_input_fields, op_input_fields, num_input_fields,
1435                                                            in_vec, impl->point_coords_elem, false, true, e_data, impl, request));
1436 
1437         // -- Q function
1438         if (!impl->is_identity_qf) {
1439           CeedCallBackend(CeedQFunctionApply(qf, num_points, impl->q_vecs_in, impl->q_vecs_out));
1440         }
1441 
1442         // -- Output basis apply and restriction
1443         CeedCallBackend(CeedOperatorOutputBasisAtPoints_Ref(e, num_points_offset, num_points, qf_output_fields, op_output_fields, num_input_fields,
1444                                                             num_output_fields, impl->apply_add_basis_out, impl->skip_rstr_out, op, out_vec,
1445                                                             impl->point_coords_elem, true, impl, request));
1446 
1447         // -- Grab diagonal value
1448         for (CeedInt j = 0; j < num_output_fields; j++) {
1449           bool                is_active;
1450           CeedInt             elem_size = 0;
1451           CeedRestrictionType rstr_type;
1452           CeedVector          vec;
1453           CeedElemRestriction elem_rstr;
1454 
1455           // ---- Skip non-active output
1456           CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[j], &vec));
1457           is_active = vec == CEED_VECTOR_ACTIVE;
1458           CeedCallBackend(CeedVectorDestroy(&vec));
1459           if (!is_active || impl->skip_rstr_out[j]) continue;
1460 
1461           // ---- Check if elem size matches
1462           CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_output_fields[j], &elem_rstr));
1463           CeedCallBackend(CeedElemRestrictionGetType(elem_rstr, &rstr_type));
1464           if (is_active_at_points && rstr_type != CEED_RESTRICTION_POINTS) {
1465             CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
1466             continue;
1467           }
1468           if (rstr_type == CEED_RESTRICTION_POINTS) {
1469             CeedCallBackend(CeedElemRestrictionGetNumPointsInElement(elem_rstr, e, &elem_size));
1470           } else {
1471             CeedCallBackend(CeedElemRestrictionGetElementSize(elem_rstr, &elem_size));
1472           }
1473           {
1474             CeedInt num_comp = 0;
1475 
1476             CeedCallBackend(CeedElemRestrictionGetNumComponents(elem_rstr, &num_comp));
1477             if (e_vec_size != num_comp * elem_size) {
1478               CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
1479               continue;
1480             }
1481           }
1482           // ---- Update output vector
1483           {
1484             CeedScalar *array, current_value = 0.0;
1485 
1486             CeedCallBackend(CeedVectorGetArray(impl->e_vecs_out[j], CEED_MEM_HOST, &array));
1487             current_value = array[s];
1488             CeedCallBackend(CeedVectorRestoreArray(impl->e_vecs_out[j], &array));
1489             CeedCallBackend(CeedVectorSetValue(impl->e_vecs_out[j], 0.0));
1490             CeedCallBackend(CeedVectorGetArray(impl->e_vecs_out[j], CEED_MEM_HOST, &array));
1491             array[s] = current_value;
1492             CeedCallBackend(CeedVectorRestoreArray(impl->e_vecs_out[j], &array));
1493           }
1494           // ---- Restrict output block
1495           if (rstr_type == CEED_RESTRICTION_POINTS) {
1496             CeedCallBackend(CeedElemRestrictionApplyAtPointsInElement(elem_rstr, e, CEED_TRANSPOSE, impl->e_vecs_out[j], assembled, request));
1497           } else {
1498             CeedCallBackend(CeedElemRestrictionApplyBlock(elem_rstr, e, CEED_TRANSPOSE, impl->e_vecs_out[j], assembled, request));
1499           }
1500           CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
1501         }
1502         // -- Reset unit vector
1503         if (s == e_vec_size - 1) {
1504           CeedScalar *array;
1505 
1506           CeedCallBackend(CeedVectorGetArray(impl->e_vecs_in[i], CEED_MEM_HOST, &array));
1507           array[s] = 0.0;
1508           CeedCallBackend(CeedVectorRestoreArray(impl->e_vecs_in[i], &array));
1509         }
1510       }
1511     }
1512     num_points_offset += num_points;
1513   }
1514 
1515   // Restore input arrays
1516   CeedCallBackend(CeedOperatorRestoreInputs_Ref(num_input_fields, qf_input_fields, op_input_fields, true, e_data, impl));
1517 
1518   // Cleanup
1519   CeedCallBackend(CeedDestroy(&ceed));
1520   CeedCallBackend(CeedVectorDestroy(&in_vec));
1521   CeedCallBackend(CeedVectorDestroy(&out_vec));
1522   CeedCallBackend(CeedVectorDestroy(&point_coords));
1523   CeedCallBackend(CeedElemRestrictionDestroy(&rstr_points));
1524   CeedCallBackend(CeedQFunctionDestroy(&qf));
1525   return CEED_ERROR_SUCCESS;
1526 }
1527 
1528 //------------------------------------------------------------------------------
1529 // Assemble Operator AtPoints
1530 //------------------------------------------------------------------------------
1531 static int CeedOperatorAssembleSingleAtPoints_Ref(CeedOperator op, CeedInt offset, CeedVector values) {
1532   CeedInt             num_points_offset = 0, num_input_fields, num_output_fields, num_elem, num_comp_active = 1;
1533   CeedScalar         *e_data[2 * CEED_FIELD_MAX] = {0}, *assembled;
1534   Ceed                ceed;
1535   CeedVector          point_coords = NULL, in_vec, out_vec;
1536   CeedElemRestriction rstr_points  = NULL;
1537   CeedQFunctionField *qf_input_fields, *qf_output_fields;
1538   CeedQFunction       qf;
1539   CeedOperatorField  *op_input_fields, *op_output_fields;
1540   CeedOperator_Ref   *impl;
1541 
1542   CeedCallBackend(CeedOperatorGetData(op, &impl));
1543   CeedCallBackend(CeedOperatorGetNumElements(op, &num_elem));
1544   CeedCallBackend(CeedOperatorGetQFunction(op, &qf));
1545   CeedCallBackend(CeedOperatorGetFields(op, &num_input_fields, &op_input_fields, &num_output_fields, &op_output_fields));
1546   CeedCallBackend(CeedQFunctionGetFields(qf, NULL, &qf_input_fields, NULL, &qf_output_fields));
1547 
1548   // Setup
1549   CeedCallBackend(CeedOperatorSetupAtPoints_Ref(op));
1550 
1551   // Ceed
1552   {
1553     Ceed ceed_parent;
1554 
1555     CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
1556     CeedCallBackend(CeedGetParent(ceed, &ceed_parent));
1557     CeedCallBackend(CeedReferenceCopy(ceed_parent, &ceed));
1558     CeedCallBackend(CeedDestroy(&ceed_parent));
1559   }
1560 
1561   // Point coordinates
1562   CeedCallBackend(CeedOperatorAtPointsGetPoints(op, &rstr_points, &point_coords));
1563 
1564   // Input and output vectors
1565   {
1566     CeedSize input_size, output_size;
1567 
1568     CeedCallBackend(CeedOperatorGetActiveVectorLengths(op, &input_size, &output_size));
1569     CeedCallBackend(CeedVectorCreate(ceed, input_size, &in_vec));
1570     CeedCallBackend(CeedVectorCreate(ceed, output_size, &out_vec));
1571     CeedCallBackend(CeedVectorSetValue(out_vec, 0.0));
1572   }
1573 
1574   // Assembled array
1575   CeedCallBackend(CeedVectorGetArray(values, CEED_MEM_HOST, &assembled));
1576 
1577   // Clear input Evecs
1578   for (CeedInt i = 0; i < num_input_fields; i++) {
1579     bool       is_active;
1580     CeedVector vec;
1581 
1582     CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
1583     is_active = vec == CEED_VECTOR_ACTIVE;
1584     CeedCallBackend(CeedVectorDestroy(&vec));
1585     if (!is_active || impl->skip_rstr_in[i]) continue;
1586     CeedCallBackend(CeedVectorSetValue(impl->e_vecs_in[i], 0.0));
1587   }
1588 
1589   // Input Evecs and Restriction
1590   CeedCallBackend(CeedOperatorSetupInputs_Ref(num_input_fields, qf_input_fields, op_input_fields, NULL, true, e_data, impl, CEED_REQUEST_IMMEDIATE));
1591 
1592   // Loop through elements
1593   for (CeedInt e = 0; e < num_elem; e++) {
1594     CeedInt num_points, e_vec_size = 0;
1595 
1596     // Setup points for element
1597     CeedCallBackend(
1598         CeedElemRestrictionApplyAtPointsInElement(rstr_points, e, CEED_NOTRANSPOSE, point_coords, impl->point_coords_elem, CEED_REQUEST_IMMEDIATE));
1599     CeedCallBackend(CeedElemRestrictionGetNumPointsInElement(rstr_points, e, &num_points));
1600 
1601     // Input basis apply for non-active bases
1602     CeedCallBackend(CeedOperatorInputBasisAtPoints_Ref(e, num_points_offset, num_points, qf_input_fields, op_input_fields, num_input_fields, in_vec,
1603                                                        impl->point_coords_elem, true, false, e_data, impl, CEED_REQUEST_IMMEDIATE));
1604 
1605     // Loop over points on element
1606     for (CeedInt i = 0; i < num_input_fields; i++) {
1607       bool                is_active_at_points = true, is_active;
1608       CeedInt             elem_size_active    = 1;
1609       CeedRestrictionType rstr_type;
1610       CeedVector          vec;
1611       CeedElemRestriction elem_rstr;
1612 
1613       // -- Skip non-active input
1614       CeedCallBackend(CeedOperatorFieldGetVector(op_input_fields[i], &vec));
1615       is_active = vec == CEED_VECTOR_ACTIVE;
1616       CeedCallBackend(CeedVectorDestroy(&vec));
1617       if (!is_active || impl->skip_rstr_in[i]) continue;
1618 
1619       // -- Get active restriction type
1620       CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_input_fields[i], &elem_rstr));
1621       CeedCallBackend(CeedElemRestrictionGetType(elem_rstr, &rstr_type));
1622       is_active_at_points = rstr_type == CEED_RESTRICTION_POINTS;
1623       if (!is_active_at_points) CeedCallBackend(CeedElemRestrictionGetElementSize(elem_rstr, &elem_size_active));
1624       else elem_size_active = num_points;
1625       CeedCallBackend(CeedElemRestrictionGetNumComponents(elem_rstr, &num_comp_active));
1626       CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
1627 
1628       e_vec_size = elem_size_active * num_comp_active;
1629       for (CeedInt s = 0; s < e_vec_size; s++) {
1630         const CeedInt comp_in = s / elem_size_active;
1631         const CeedInt node_in = s % elem_size_active;
1632 
1633         // -- Update unit vector
1634         {
1635           CeedScalar *array;
1636 
1637           if (s == 0) CeedCallBackend(CeedVectorSetValue(impl->e_vecs_in[i], 0.0));
1638           CeedCallBackend(CeedVectorGetArray(impl->e_vecs_in[i], CEED_MEM_HOST, &array));
1639           array[s] = 1.0;
1640           if (s > 0) array[s - 1] = 0.0;
1641           CeedCallBackend(CeedVectorRestoreArray(impl->e_vecs_in[i], &array));
1642         }
1643         // Input basis apply for active bases
1644         CeedCallBackend(CeedOperatorInputBasisAtPoints_Ref(e, num_points_offset, num_points, qf_input_fields, op_input_fields, num_input_fields,
1645                                                            in_vec, impl->point_coords_elem, false, true, e_data, impl, CEED_REQUEST_IMMEDIATE));
1646 
1647         // -- Q function
1648         if (!impl->is_identity_qf) {
1649           CeedCallBackend(CeedQFunctionApply(qf, num_points, impl->q_vecs_in, impl->q_vecs_out));
1650         }
1651 
1652         // -- Output basis apply and restriction
1653         CeedCallBackend(CeedOperatorOutputBasisAtPoints_Ref(e, num_points_offset, num_points, qf_output_fields, op_output_fields, num_input_fields,
1654                                                             num_output_fields, impl->apply_add_basis_out, impl->skip_rstr_out, op, out_vec,
1655                                                             impl->point_coords_elem, true, impl, CEED_REQUEST_IMMEDIATE));
1656 
1657         // -- Build element matrix
1658         for (CeedInt j = 0; j < num_output_fields; j++) {
1659           bool                is_active;
1660           CeedInt             elem_size = 0;
1661           CeedRestrictionType rstr_type;
1662           CeedVector          vec;
1663           CeedElemRestriction elem_rstr;
1664 
1665           // ---- Skip non-active output
1666           CeedCallBackend(CeedOperatorFieldGetVector(op_output_fields[j], &vec));
1667           is_active = vec == CEED_VECTOR_ACTIVE;
1668           CeedCallBackend(CeedVectorDestroy(&vec));
1669           if (!is_active || impl->skip_rstr_out[j]) continue;
1670 
1671           // ---- Check if elem size matches
1672           CeedCallBackend(CeedOperatorFieldGetElemRestriction(op_output_fields[j], &elem_rstr));
1673           CeedCallBackend(CeedElemRestrictionGetType(elem_rstr, &rstr_type));
1674           if (is_active_at_points && rstr_type != CEED_RESTRICTION_POINTS) {
1675             CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
1676             continue;
1677           }
1678           if (rstr_type == CEED_RESTRICTION_POINTS) {
1679             CeedCallBackend(CeedElemRestrictionGetNumPointsInElement(elem_rstr, e, &elem_size));
1680           } else {
1681             CeedCallBackend(CeedElemRestrictionGetElementSize(elem_rstr, &elem_size));
1682           }
1683           {
1684             CeedInt num_comp = 0;
1685 
1686             CeedCallBackend(CeedElemRestrictionGetNumComponents(elem_rstr, &num_comp));
1687             CeedCallBackend(CeedElemRestrictionDestroy(&elem_rstr));
1688             if (e_vec_size != num_comp * elem_size) continue;
1689           }
1690           // ---- Copy output
1691           {
1692             const CeedScalar *output;
1693 
1694             CeedCallBackend(CeedVectorGetArrayRead(impl->e_vecs_out[j], CEED_MEM_HOST, &output));
1695             for (CeedInt k = 0; k < e_vec_size; k++) {
1696               const CeedInt comp_out = k / elem_size_active;
1697               const CeedInt node_out = k % elem_size_active;
1698 
1699               assembled[offset + e * e_vec_size * e_vec_size + (comp_in * num_comp_active + comp_out) * elem_size_active * elem_size_active +
1700                         node_out * elem_size_active + node_in] = output[k];
1701             }
1702             CeedCallBackend(CeedVectorRestoreArrayRead(impl->e_vecs_out[j], &output));
1703           }
1704         }
1705         // -- Reset unit vector
1706         if (s == e_vec_size - 1) {
1707           CeedScalar *array;
1708 
1709           CeedCallBackend(CeedVectorGetArray(impl->e_vecs_in[i], CEED_MEM_HOST, &array));
1710           array[s] = 0.0;
1711           CeedCallBackend(CeedVectorRestoreArray(impl->e_vecs_in[i], &array));
1712         }
1713       }
1714     }
1715     num_points_offset += num_points;
1716   }
1717 
1718   // Restore input arrays
1719   CeedCallBackend(CeedOperatorRestoreInputs_Ref(num_input_fields, qf_input_fields, op_input_fields, true, e_data, impl));
1720 
1721   // Restore assembled values
1722   CeedCallBackend(CeedVectorRestoreArray(values, &assembled));
1723 
1724   // Cleanup
1725   CeedCallBackend(CeedDestroy(&ceed));
1726   CeedCallBackend(CeedVectorDestroy(&in_vec));
1727   CeedCallBackend(CeedVectorDestroy(&out_vec));
1728   CeedCallBackend(CeedVectorDestroy(&point_coords));
1729   CeedCallBackend(CeedElemRestrictionDestroy(&rstr_points));
1730   CeedCallBackend(CeedQFunctionDestroy(&qf));
1731   return CEED_ERROR_SUCCESS;
1732 }
1733 
1734 //------------------------------------------------------------------------------
1735 // Operator Destroy
1736 //------------------------------------------------------------------------------
1737 static int CeedOperatorDestroy_Ref(CeedOperator op) {
1738   CeedOperator_Ref *impl;
1739 
1740   CeedCallBackend(CeedOperatorGetData(op, &impl));
1741   CeedCallBackend(CeedFree(&impl->skip_rstr_in));
1742   CeedCallBackend(CeedFree(&impl->skip_rstr_out));
1743   CeedCallBackend(CeedFree(&impl->e_data_out_indices));
1744   CeedCallBackend(CeedFree(&impl->apply_add_basis_out));
1745   for (CeedInt i = 0; i < impl->num_inputs + impl->num_outputs; i++) {
1746     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_full[i]));
1747   }
1748   CeedCallBackend(CeedFree(&impl->e_vecs_full));
1749   CeedCallBackend(CeedFree(&impl->input_states));
1750 
1751   for (CeedInt i = 0; i < impl->num_inputs; i++) {
1752     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_in[i]));
1753     CeedCallBackend(CeedVectorDestroy(&impl->q_vecs_in[i]));
1754   }
1755   CeedCallBackend(CeedFree(&impl->e_vecs_in));
1756   CeedCallBackend(CeedFree(&impl->q_vecs_in));
1757 
1758   for (CeedInt i = 0; i < impl->num_outputs; i++) {
1759     CeedCallBackend(CeedVectorDestroy(&impl->e_vecs_out[i]));
1760     CeedCallBackend(CeedVectorDestroy(&impl->q_vecs_out[i]));
1761   }
1762   CeedCallBackend(CeedFree(&impl->e_vecs_out));
1763   CeedCallBackend(CeedFree(&impl->q_vecs_out));
1764   CeedCallBackend(CeedVectorDestroy(&impl->point_coords_elem));
1765 
1766   CeedCallBackend(CeedFree(&impl));
1767   return CEED_ERROR_SUCCESS;
1768 }
1769 
1770 //------------------------------------------------------------------------------
1771 // Operator Create
1772 //------------------------------------------------------------------------------
1773 int CeedOperatorCreate_Ref(CeedOperator op) {
1774   Ceed              ceed;
1775   CeedOperator_Ref *impl;
1776 
1777   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
1778   CeedCallBackend(CeedCalloc(1, &impl));
1779   CeedCallBackend(CeedOperatorSetData(op, impl));
1780   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunction", CeedOperatorLinearAssembleQFunction_Ref));
1781   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunctionUpdate", CeedOperatorLinearAssembleQFunctionUpdate_Ref));
1782   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "ApplyAdd", CeedOperatorApplyAdd_Ref));
1783   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "Destroy", CeedOperatorDestroy_Ref));
1784   CeedCallBackend(CeedDestroy(&ceed));
1785   return CEED_ERROR_SUCCESS;
1786 }
1787 
1788 //------------------------------------------------------------------------------
1789 // Operator Create At Points
1790 //------------------------------------------------------------------------------
1791 int CeedOperatorCreateAtPoints_Ref(CeedOperator op) {
1792   Ceed              ceed;
1793   CeedOperator_Ref *impl;
1794 
1795   CeedCallBackend(CeedOperatorGetCeed(op, &ceed));
1796   CeedCallBackend(CeedCalloc(1, &impl));
1797   CeedCallBackend(CeedOperatorSetData(op, impl));
1798   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunction", CeedOperatorLinearAssembleQFunctionAtPoints_Ref));
1799   CeedCallBackend(
1800       CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleQFunctionUpdate", CeedOperatorLinearAssembleQFunctionAtPointsUpdate_Ref));
1801   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleAddDiagonal", CeedOperatorLinearAssembleAddDiagonalAtPoints_Ref));
1802   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "LinearAssembleSingle", CeedOperatorAssembleSingleAtPoints_Ref));
1803   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "ApplyAdd", CeedOperatorApplyAddAtPoints_Ref));
1804   CeedCallBackend(CeedSetBackendFunction(ceed, "Operator", op, "Destroy", CeedOperatorDestroy_Ref));
1805   CeedCallBackend(CeedDestroy(&ceed));
1806   return CEED_ERROR_SUCCESS;
1807 }
1808 
1809 //------------------------------------------------------------------------------
1810