xref: /libCEED/backends/cuda-ref/ceed-cuda-ref-vector.c (revision 5a5594ffd3205667210320a8dc336d609d13e75f)
1 // Copyright (c) 2017-2024, 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 <cuda_runtime.h>
11 #include <math.h>
12 #include <stdbool.h>
13 #include <string.h>
14 
15 #include "../cuda/ceed-cuda-common.h"
16 #include "ceed-cuda-ref.h"
17 
18 //------------------------------------------------------------------------------
19 // Check if host/device sync is needed
20 //------------------------------------------------------------------------------
21 static inline int CeedVectorNeedSync_Cuda(const CeedVector vec, CeedMemType mem_type, bool *need_sync) {
22   bool             has_valid_array = false;
23   CeedVector_Cuda *impl;
24 
25   CeedCallBackend(CeedVectorGetData(vec, &impl));
26   CeedCallBackend(CeedVectorHasValidArray(vec, &has_valid_array));
27   switch (mem_type) {
28     case CEED_MEM_HOST:
29       *need_sync = has_valid_array && !impl->h_array;
30       break;
31     case CEED_MEM_DEVICE:
32       *need_sync = has_valid_array && !impl->d_array;
33       break;
34   }
35   return CEED_ERROR_SUCCESS;
36 }
37 
38 //------------------------------------------------------------------------------
39 // Sync host to device
40 //------------------------------------------------------------------------------
41 static inline int CeedVectorSyncH2D_Cuda(const CeedVector vec) {
42   CeedSize         length;
43   size_t           bytes;
44   Ceed             ceed;
45   CeedVector_Cuda *impl;
46 
47   CeedCallBackend(CeedVectorGetCeed(vec, &ceed));
48   CeedCallBackend(CeedVectorGetData(vec, &impl));
49 
50   CeedCheck(impl->h_array, CeedVectorReturnCeed(vec), CEED_ERROR_BACKEND, "No valid host data to sync to device");
51 
52   CeedCallBackend(CeedVectorGetLength(vec, &length));
53   bytes = length * sizeof(CeedScalar);
54   if (impl->d_array_borrowed) {
55     impl->d_array = impl->d_array_borrowed;
56   } else if (impl->d_array_owned) {
57     impl->d_array = impl->d_array_owned;
58   } else {
59     CeedCallCuda(ceed, cudaMalloc((void **)&impl->d_array_owned, bytes));
60     impl->d_array = impl->d_array_owned;
61   }
62   CeedCallCuda(ceed, cudaMemcpy(impl->d_array, impl->h_array, bytes, cudaMemcpyHostToDevice));
63   return CEED_ERROR_SUCCESS;
64 }
65 
66 //------------------------------------------------------------------------------
67 // Sync device to host
68 //------------------------------------------------------------------------------
69 static inline int CeedVectorSyncD2H_Cuda(const CeedVector vec) {
70   CeedSize         length;
71   Ceed             ceed;
72   CeedVector_Cuda *impl;
73 
74   CeedCallBackend(CeedVectorGetCeed(vec, &ceed));
75   CeedCallBackend(CeedVectorGetData(vec, &impl));
76 
77   CeedCheck(impl->d_array, ceed, CEED_ERROR_BACKEND, "No valid device data to sync to host");
78 
79   if (impl->h_array_borrowed) {
80     impl->h_array = impl->h_array_borrowed;
81   } else if (impl->h_array_owned) {
82     impl->h_array = impl->h_array_owned;
83   } else {
84     CeedSize length;
85 
86     CeedCallBackend(CeedVectorGetLength(vec, &length));
87     CeedCallBackend(CeedCalloc(length, &impl->h_array_owned));
88     impl->h_array = impl->h_array_owned;
89   }
90 
91   CeedCallBackend(CeedVectorGetLength(vec, &length));
92   size_t bytes = length * sizeof(CeedScalar);
93 
94   CeedCallCuda(ceed, cudaMemcpy(impl->h_array, impl->d_array, bytes, cudaMemcpyDeviceToHost));
95   return CEED_ERROR_SUCCESS;
96 }
97 
98 //------------------------------------------------------------------------------
99 // Sync arrays
100 //------------------------------------------------------------------------------
101 static int CeedVectorSyncArray_Cuda(const CeedVector vec, CeedMemType mem_type) {
102   bool need_sync = false;
103 
104   // Check whether device/host sync is needed
105   CeedCallBackend(CeedVectorNeedSync_Cuda(vec, mem_type, &need_sync));
106   if (!need_sync) return CEED_ERROR_SUCCESS;
107 
108   switch (mem_type) {
109     case CEED_MEM_HOST:
110       return CeedVectorSyncD2H_Cuda(vec);
111     case CEED_MEM_DEVICE:
112       return CeedVectorSyncH2D_Cuda(vec);
113   }
114   return CEED_ERROR_UNSUPPORTED;
115 }
116 
117 //------------------------------------------------------------------------------
118 // Set all pointers as invalid
119 //------------------------------------------------------------------------------
120 static inline int CeedVectorSetAllInvalid_Cuda(const CeedVector vec) {
121   CeedVector_Cuda *impl;
122 
123   CeedCallBackend(CeedVectorGetData(vec, &impl));
124   impl->h_array = NULL;
125   impl->d_array = NULL;
126   return CEED_ERROR_SUCCESS;
127 }
128 
129 //------------------------------------------------------------------------------
130 // Check if CeedVector has any valid pointer
131 //------------------------------------------------------------------------------
132 static inline int CeedVectorHasValidArray_Cuda(const CeedVector vec, bool *has_valid_array) {
133   CeedVector_Cuda *impl;
134 
135   CeedCallBackend(CeedVectorGetData(vec, &impl));
136   *has_valid_array = impl->h_array || impl->d_array;
137   return CEED_ERROR_SUCCESS;
138 }
139 
140 //------------------------------------------------------------------------------
141 // Check if has array of given type
142 //------------------------------------------------------------------------------
143 static inline int CeedVectorHasArrayOfType_Cuda(const CeedVector vec, CeedMemType mem_type, bool *has_array_of_type) {
144   CeedVector_Cuda *impl;
145 
146   CeedCallBackend(CeedVectorGetData(vec, &impl));
147   switch (mem_type) {
148     case CEED_MEM_HOST:
149       *has_array_of_type = impl->h_array_borrowed || impl->h_array_owned;
150       break;
151     case CEED_MEM_DEVICE:
152       *has_array_of_type = impl->d_array_borrowed || impl->d_array_owned;
153       break;
154   }
155   return CEED_ERROR_SUCCESS;
156 }
157 
158 //------------------------------------------------------------------------------
159 // Check if has borrowed array of given type
160 //------------------------------------------------------------------------------
161 static inline int CeedVectorHasBorrowedArrayOfType_Cuda(const CeedVector vec, CeedMemType mem_type, bool *has_borrowed_array_of_type) {
162   CeedVector_Cuda *impl;
163 
164   CeedCallBackend(CeedVectorGetData(vec, &impl));
165   switch (mem_type) {
166     case CEED_MEM_HOST:
167       *has_borrowed_array_of_type = impl->h_array_borrowed;
168       break;
169     case CEED_MEM_DEVICE:
170       *has_borrowed_array_of_type = impl->d_array_borrowed;
171       break;
172   }
173   return CEED_ERROR_SUCCESS;
174 }
175 
176 //------------------------------------------------------------------------------
177 // Set array from host
178 //------------------------------------------------------------------------------
179 static int CeedVectorSetArrayHost_Cuda(const CeedVector vec, const CeedCopyMode copy_mode, CeedScalar *array) {
180   CeedSize         length;
181   CeedVector_Cuda *impl;
182 
183   CeedCallBackend(CeedVectorGetData(vec, &impl));
184   CeedCallBackend(CeedVectorGetLength(vec, &length));
185 
186   CeedCallBackend(CeedSetHostCeedScalarArray(array, copy_mode, length, (const CeedScalar **)&impl->h_array_owned,
187                                              (const CeedScalar **)&impl->h_array_borrowed, (const CeedScalar **)&impl->h_array));
188   return CEED_ERROR_SUCCESS;
189 }
190 
191 //------------------------------------------------------------------------------
192 // Set array from device
193 //------------------------------------------------------------------------------
194 static int CeedVectorSetArrayDevice_Cuda(const CeedVector vec, const CeedCopyMode copy_mode, CeedScalar *array) {
195   CeedSize         length;
196   Ceed             ceed;
197   CeedVector_Cuda *impl;
198 
199   CeedCallBackend(CeedVectorGetCeed(vec, &ceed));
200   CeedCallBackend(CeedVectorGetData(vec, &impl));
201   CeedCallBackend(CeedVectorGetLength(vec, &length));
202 
203   CeedCallBackend(CeedSetDeviceCeedScalarArray_Cuda(ceed, array, copy_mode, length, (const CeedScalar **)&impl->d_array_owned,
204                                                     (const CeedScalar **)&impl->d_array_borrowed, (const CeedScalar **)&impl->d_array));
205   return CEED_ERROR_SUCCESS;
206 }
207 
208 //------------------------------------------------------------------------------
209 // Set the array used by a vector,
210 //   freeing any previously allocated array if applicable
211 //------------------------------------------------------------------------------
212 static int CeedVectorSetArray_Cuda(const CeedVector vec, const CeedMemType mem_type, const CeedCopyMode copy_mode, CeedScalar *array) {
213   CeedVector_Cuda *impl;
214 
215   CeedCallBackend(CeedVectorGetData(vec, &impl));
216   CeedCallBackend(CeedVectorSetAllInvalid_Cuda(vec));
217   switch (mem_type) {
218     case CEED_MEM_HOST:
219       return CeedVectorSetArrayHost_Cuda(vec, copy_mode, array);
220     case CEED_MEM_DEVICE:
221       return CeedVectorSetArrayDevice_Cuda(vec, copy_mode, array);
222   }
223   return CEED_ERROR_UNSUPPORTED;
224 }
225 
226 //------------------------------------------------------------------------------
227 // Copy host array to value strided
228 //------------------------------------------------------------------------------
229 static int CeedHostCopyStrided_Cuda(CeedScalar *h_array, CeedSize start, CeedSize step, CeedSize length, CeedScalar *h_copy_array) {
230   for (CeedSize i = start; i < length; i += step) h_copy_array[i] = h_array[i];
231   return CEED_ERROR_SUCCESS;
232 }
233 
234 //------------------------------------------------------------------------------
235 // Copy device array to value strided (impl in .cu file)
236 //------------------------------------------------------------------------------
237 int CeedDeviceCopyStrided_Cuda(CeedScalar *d_array, CeedSize start, CeedSize step, CeedSize length, CeedScalar *d_copy_array);
238 
239 //------------------------------------------------------------------------------
240 // Copy a vector to a value strided
241 //------------------------------------------------------------------------------
242 static int CeedVectorCopyStrided_Cuda(CeedVector vec, CeedSize start, CeedSize step, CeedVector vec_copy) {
243   CeedSize         length;
244   CeedVector_Cuda *impl;
245 
246   CeedCallBackend(CeedVectorGetData(vec, &impl));
247   {
248     CeedSize length_vec, length_copy;
249 
250     CeedCallBackend(CeedVectorGetLength(vec, &length_vec));
251     CeedCallBackend(CeedVectorGetLength(vec_copy, &length_copy));
252     length = length_vec < length_copy ? length_vec : length_copy;
253   }
254   // Set value for synced device/host array
255   if (impl->d_array) {
256     CeedScalar *copy_array;
257 
258     CeedCallBackend(CeedVectorGetArray(vec_copy, CEED_MEM_DEVICE, &copy_array));
259     CeedCallBackend(CeedDeviceCopyStrided_Cuda(impl->d_array, start, step, length, copy_array));
260     CeedCallBackend(CeedVectorRestoreArray(vec_copy, &copy_array));
261   } else if (impl->h_array) {
262     CeedScalar *copy_array;
263 
264     CeedCallBackend(CeedVectorGetArray(vec_copy, CEED_MEM_HOST, &copy_array));
265     CeedCallBackend(CeedHostCopyStrided_Cuda(impl->h_array, start, step, length, copy_array));
266     CeedCallBackend(CeedVectorRestoreArray(vec_copy, &copy_array));
267   } else {
268     return CeedError(CeedVectorReturnCeed(vec), CEED_ERROR_BACKEND, "CeedVector must have valid data set");
269   }
270   return CEED_ERROR_SUCCESS;
271 }
272 
273 //------------------------------------------------------------------------------
274 // Set host array to value
275 //------------------------------------------------------------------------------
276 static int CeedHostSetValue_Cuda(CeedScalar *h_array, CeedSize length, CeedScalar val) {
277   for (CeedSize i = 0; i < length; i++) h_array[i] = val;
278   return CEED_ERROR_SUCCESS;
279 }
280 
281 //------------------------------------------------------------------------------
282 // Set device array to value (impl in .cu file)
283 //------------------------------------------------------------------------------
284 int CeedDeviceSetValue_Cuda(CeedScalar *d_array, CeedSize length, CeedScalar val);
285 
286 //------------------------------------------------------------------------------
287 // Set a vector to a value
288 //------------------------------------------------------------------------------
289 static int CeedVectorSetValue_Cuda(CeedVector vec, CeedScalar val) {
290   CeedSize         length;
291   CeedVector_Cuda *impl;
292 
293   CeedCallBackend(CeedVectorGetData(vec, &impl));
294   CeedCallBackend(CeedVectorGetLength(vec, &length));
295   // Set value for synced device/host array
296   if (!impl->d_array && !impl->h_array) {
297     if (impl->d_array_borrowed) {
298       impl->d_array = impl->d_array_borrowed;
299     } else if (impl->h_array_borrowed) {
300       impl->h_array = impl->h_array_borrowed;
301     } else if (impl->d_array_owned) {
302       impl->d_array = impl->d_array_owned;
303     } else if (impl->h_array_owned) {
304       impl->h_array = impl->h_array_owned;
305     } else {
306       CeedCallBackend(CeedVectorSetArray(vec, CEED_MEM_DEVICE, CEED_COPY_VALUES, NULL));
307     }
308   }
309   if (impl->d_array) {
310     CeedCallBackend(CeedDeviceSetValue_Cuda(impl->d_array, length, val));
311     impl->h_array = NULL;
312   }
313   if (impl->h_array) {
314     CeedCallBackend(CeedHostSetValue_Cuda(impl->h_array, length, val));
315     impl->d_array = NULL;
316   }
317   return CEED_ERROR_SUCCESS;
318 }
319 
320 //------------------------------------------------------------------------------
321 // Set host array to value strided
322 //------------------------------------------------------------------------------
323 static int CeedHostSetValueStrided_Cuda(CeedScalar *h_array, CeedSize start, CeedSize step, CeedSize length, CeedScalar val) {
324   for (CeedSize i = start; i < length; i += step) h_array[i] = val;
325   return CEED_ERROR_SUCCESS;
326 }
327 
328 //------------------------------------------------------------------------------
329 // Set device array to value strided (impl in .cu file)
330 //------------------------------------------------------------------------------
331 int CeedDeviceSetValueStrided_Cuda(CeedScalar *d_array, CeedSize start, CeedSize step, CeedSize length, CeedScalar val);
332 
333 //------------------------------------------------------------------------------
334 // Set a vector to a value strided
335 //------------------------------------------------------------------------------
336 static int CeedVectorSetValueStrided_Cuda(CeedVector vec, CeedSize start, CeedSize step, CeedScalar val) {
337   CeedSize         length;
338   CeedVector_Cuda *impl;
339 
340   CeedCallBackend(CeedVectorGetData(vec, &impl));
341   CeedCallBackend(CeedVectorGetLength(vec, &length));
342   // Set value for synced device/host array
343   if (impl->d_array) {
344     CeedCallBackend(CeedDeviceSetValueStrided_Cuda(impl->d_array, start, step, length, val));
345     impl->h_array = NULL;
346   } else if (impl->h_array) {
347     CeedCallBackend(CeedHostSetValueStrided_Cuda(impl->h_array, start, step, length, val));
348     impl->d_array = NULL;
349   } else {
350     return CeedError(CeedVectorReturnCeed(vec), CEED_ERROR_BACKEND, "CeedVector must have valid data set");
351   }
352   return CEED_ERROR_SUCCESS;
353 }
354 
355 //------------------------------------------------------------------------------
356 // Vector Take Array
357 //------------------------------------------------------------------------------
358 static int CeedVectorTakeArray_Cuda(CeedVector vec, CeedMemType mem_type, CeedScalar **array) {
359   CeedVector_Cuda *impl;
360 
361   CeedCallBackend(CeedVectorGetData(vec, &impl));
362   // Sync array to requested mem_type
363   CeedCallBackend(CeedVectorSyncArray(vec, mem_type));
364   // Update pointer
365   switch (mem_type) {
366     case CEED_MEM_HOST:
367       (*array)               = impl->h_array_borrowed;
368       impl->h_array_borrowed = NULL;
369       impl->h_array          = NULL;
370       break;
371     case CEED_MEM_DEVICE:
372       (*array)               = impl->d_array_borrowed;
373       impl->d_array_borrowed = NULL;
374       impl->d_array          = NULL;
375       break;
376   }
377   return CEED_ERROR_SUCCESS;
378 }
379 
380 //------------------------------------------------------------------------------
381 // Core logic for array syncronization for GetArray.
382 //   If a different memory type is most up to date, this will perform a copy
383 //------------------------------------------------------------------------------
384 static int CeedVectorGetArrayCore_Cuda(const CeedVector vec, const CeedMemType mem_type, CeedScalar **array) {
385   CeedVector_Cuda *impl;
386 
387   CeedCallBackend(CeedVectorGetData(vec, &impl));
388   // Sync array to requested mem_type
389   CeedCallBackend(CeedVectorSyncArray(vec, mem_type));
390   // Update pointer
391   switch (mem_type) {
392     case CEED_MEM_HOST:
393       *array = impl->h_array;
394       break;
395     case CEED_MEM_DEVICE:
396       *array = impl->d_array;
397       break;
398   }
399   return CEED_ERROR_SUCCESS;
400 }
401 
402 //------------------------------------------------------------------------------
403 // Get read-only access to a vector via the specified mem_type
404 //------------------------------------------------------------------------------
405 static int CeedVectorGetArrayRead_Cuda(const CeedVector vec, const CeedMemType mem_type, const CeedScalar **array) {
406   return CeedVectorGetArrayCore_Cuda(vec, mem_type, (CeedScalar **)array);
407 }
408 
409 //------------------------------------------------------------------------------
410 // Get read/write access to a vector via the specified mem_type
411 //------------------------------------------------------------------------------
412 static int CeedVectorGetArray_Cuda(const CeedVector vec, const CeedMemType mem_type, CeedScalar **array) {
413   CeedVector_Cuda *impl;
414 
415   CeedCallBackend(CeedVectorGetData(vec, &impl));
416   CeedCallBackend(CeedVectorGetArrayCore_Cuda(vec, mem_type, array));
417   CeedCallBackend(CeedVectorSetAllInvalid_Cuda(vec));
418   switch (mem_type) {
419     case CEED_MEM_HOST:
420       impl->h_array = *array;
421       break;
422     case CEED_MEM_DEVICE:
423       impl->d_array = *array;
424       break;
425   }
426   return CEED_ERROR_SUCCESS;
427 }
428 
429 //------------------------------------------------------------------------------
430 // Get write access to a vector via the specified mem_type
431 //------------------------------------------------------------------------------
432 static int CeedVectorGetArrayWrite_Cuda(const CeedVector vec, const CeedMemType mem_type, CeedScalar **array) {
433   bool             has_array_of_type = true;
434   CeedVector_Cuda *impl;
435 
436   CeedCallBackend(CeedVectorGetData(vec, &impl));
437   CeedCallBackend(CeedVectorHasArrayOfType_Cuda(vec, mem_type, &has_array_of_type));
438   if (!has_array_of_type) {
439     // Allocate if array is not yet allocated
440     CeedCallBackend(CeedVectorSetArray(vec, mem_type, CEED_COPY_VALUES, NULL));
441   } else {
442     // Select dirty array
443     switch (mem_type) {
444       case CEED_MEM_HOST:
445         if (impl->h_array_borrowed) impl->h_array = impl->h_array_borrowed;
446         else impl->h_array = impl->h_array_owned;
447         break;
448       case CEED_MEM_DEVICE:
449         if (impl->d_array_borrowed) impl->d_array = impl->d_array_borrowed;
450         else impl->d_array = impl->d_array_owned;
451     }
452   }
453   return CeedVectorGetArray_Cuda(vec, mem_type, array);
454 }
455 
456 //------------------------------------------------------------------------------
457 // Get the norm of a CeedVector
458 //------------------------------------------------------------------------------
459 static int CeedVectorNorm_Cuda(CeedVector vec, CeedNormType type, CeedScalar *norm) {
460   Ceed     ceed;
461   CeedSize length;
462 #if CUDA_VERSION < 12000
463   CeedSize num_calls;
464 #endif
465   const CeedScalar *d_array;
466   CeedVector_Cuda  *impl;
467   cublasHandle_t    handle;
468 
469   CeedCallBackend(CeedVectorGetCeed(vec, &ceed));
470   CeedCallBackend(CeedVectorGetData(vec, &impl));
471   CeedCallBackend(CeedVectorGetLength(vec, &length));
472   CeedCallBackend(CeedGetCublasHandle_Cuda(ceed, &handle));
473 
474 #if CUDA_VERSION < 12000
475   // With CUDA 12, we can use the 64-bit integer interface. Prior to that,
476   // we need to check if the vector is too long to handle with int32,
477   // and if so, divide it into subsections for repeated cuBLAS calls.
478   num_calls = length / INT_MAX;
479   if (length % INT_MAX > 0) num_calls += 1;
480 #endif
481 
482   // Compute norm
483   CeedCallBackend(CeedVectorGetArrayRead(vec, CEED_MEM_DEVICE, &d_array));
484   switch (type) {
485     case CEED_NORM_1: {
486       *norm = 0.0;
487       if (CEED_SCALAR_TYPE == CEED_SCALAR_FP32) {
488 #if CUDA_VERSION >= 12000  // We have CUDA 12, and can use 64-bit integers
489         CeedCallCublas(ceed, cublasSasum_64(handle, (int64_t)length, (float *)d_array, 1, (float *)norm));
490 #else
491         float  sub_norm = 0.0;
492         float *d_array_start;
493 
494         for (CeedInt i = 0; i < num_calls; i++) {
495           d_array_start             = (float *)d_array + (CeedSize)(i)*INT_MAX;
496           CeedSize remaining_length = length - (CeedSize)(i)*INT_MAX;
497           CeedInt  sub_length       = (i == num_calls - 1) ? (CeedInt)(remaining_length) : INT_MAX;
498 
499           CeedCallCublas(ceed, cublasSasum(handle, (CeedInt)sub_length, (float *)d_array_start, 1, &sub_norm));
500           *norm += sub_norm;
501         }
502 #endif
503       } else {
504 #if CUDA_VERSION >= 12000
505         CeedCallCublas(ceed, cublasDasum_64(handle, (int64_t)length, (double *)d_array, 1, (double *)norm));
506 #else
507         double  sub_norm = 0.0;
508         double *d_array_start;
509 
510         for (CeedInt i = 0; i < num_calls; i++) {
511           d_array_start             = (double *)d_array + (CeedSize)(i)*INT_MAX;
512           CeedSize remaining_length = length - (CeedSize)(i)*INT_MAX;
513           CeedInt  sub_length       = (i == num_calls - 1) ? (CeedInt)(remaining_length) : INT_MAX;
514 
515           CeedCallCublas(ceed, cublasDasum(handle, (CeedInt)sub_length, (double *)d_array_start, 1, &sub_norm));
516           *norm += sub_norm;
517         }
518 #endif
519       }
520       break;
521     }
522     case CEED_NORM_2: {
523       if (CEED_SCALAR_TYPE == CEED_SCALAR_FP32) {
524 #if CUDA_VERSION >= 12000
525         CeedCallCublas(ceed, cublasSnrm2_64(handle, (int64_t)length, (float *)d_array, 1, (float *)norm));
526 #else
527         float  sub_norm = 0.0, norm_sum = 0.0;
528         float *d_array_start;
529 
530         for (CeedInt i = 0; i < num_calls; i++) {
531           d_array_start             = (float *)d_array + (CeedSize)(i)*INT_MAX;
532           CeedSize remaining_length = length - (CeedSize)(i)*INT_MAX;
533           CeedInt  sub_length       = (i == num_calls - 1) ? (CeedInt)(remaining_length) : INT_MAX;
534 
535           CeedCallCublas(ceed, cublasSnrm2(handle, (CeedInt)sub_length, (float *)d_array_start, 1, &sub_norm));
536           norm_sum += sub_norm * sub_norm;
537         }
538         *norm = sqrt(norm_sum);
539 #endif
540       } else {
541 #if CUDA_VERSION >= 12000
542         CeedCallCublas(ceed, cublasDnrm2_64(handle, (int64_t)length, (double *)d_array, 1, (double *)norm));
543 #else
544         double  sub_norm = 0.0, norm_sum = 0.0;
545         double *d_array_start;
546 
547         for (CeedInt i = 0; i < num_calls; i++) {
548           d_array_start             = (double *)d_array + (CeedSize)(i)*INT_MAX;
549           CeedSize remaining_length = length - (CeedSize)(i)*INT_MAX;
550           CeedInt  sub_length       = (i == num_calls - 1) ? (CeedInt)(remaining_length) : INT_MAX;
551 
552           CeedCallCublas(ceed, cublasDnrm2(handle, (CeedInt)sub_length, (double *)d_array_start, 1, &sub_norm));
553           norm_sum += sub_norm * sub_norm;
554         }
555         *norm = sqrt(norm_sum);
556 #endif
557       }
558       break;
559     }
560     case CEED_NORM_MAX: {
561       if (CEED_SCALAR_TYPE == CEED_SCALAR_FP32) {
562 #if CUDA_VERSION >= 12000
563         int64_t    index;
564         CeedScalar norm_no_abs;
565 
566         CeedCallCublas(ceed, cublasIsamax_64(handle, (int64_t)length, (float *)d_array, 1, &index));
567         CeedCallCuda(ceed, cudaMemcpy(&norm_no_abs, impl->d_array + index - 1, sizeof(CeedScalar), cudaMemcpyDeviceToHost));
568         *norm = fabs(norm_no_abs);
569 #else
570         CeedInt index;
571         float   sub_max = 0.0, current_max = 0.0;
572         float  *d_array_start;
573 
574         for (CeedInt i = 0; i < num_calls; i++) {
575           d_array_start             = (float *)d_array + (CeedSize)(i)*INT_MAX;
576           CeedSize remaining_length = length - (CeedSize)(i)*INT_MAX;
577           CeedInt  sub_length       = (i == num_calls - 1) ? (CeedInt)(remaining_length) : INT_MAX;
578 
579           CeedCallCublas(ceed, cublasIsamax(handle, (CeedInt)sub_length, (float *)d_array_start, 1, &index));
580           CeedCallCuda(ceed, cudaMemcpy(&sub_max, d_array_start + index - 1, sizeof(CeedScalar), cudaMemcpyDeviceToHost));
581           if (fabs(sub_max) > current_max) current_max = fabs(sub_max);
582         }
583         *norm = current_max;
584 #endif
585       } else {
586 #if CUDA_VERSION >= 12000
587         int64_t    index;
588         CeedScalar norm_no_abs;
589 
590         CeedCallCublas(ceed, cublasIdamax_64(handle, (int64_t)length, (double *)d_array, 1, &index));
591         CeedCallCuda(ceed, cudaMemcpy(&norm_no_abs, impl->d_array + index - 1, sizeof(CeedScalar), cudaMemcpyDeviceToHost));
592         *norm = fabs(norm_no_abs);
593 #else
594         CeedInt index;
595         double  sub_max = 0.0, current_max = 0.0;
596         double *d_array_start;
597 
598         for (CeedInt i = 0; i < num_calls; i++) {
599           d_array_start             = (double *)d_array + (CeedSize)(i)*INT_MAX;
600           CeedSize remaining_length = length - (CeedSize)(i)*INT_MAX;
601           CeedInt  sub_length       = (i == num_calls - 1) ? (CeedInt)(remaining_length) : INT_MAX;
602 
603           CeedCallCublas(ceed, cublasIdamax(handle, (CeedInt)sub_length, (double *)d_array_start, 1, &index));
604           CeedCallCuda(ceed, cudaMemcpy(&sub_max, d_array_start + index - 1, sizeof(CeedScalar), cudaMemcpyDeviceToHost));
605           if (fabs(sub_max) > current_max) current_max = fabs(sub_max);
606         }
607         *norm = current_max;
608 #endif
609       }
610       break;
611     }
612   }
613   CeedCallBackend(CeedVectorRestoreArrayRead(vec, &d_array));
614   return CEED_ERROR_SUCCESS;
615 }
616 
617 //------------------------------------------------------------------------------
618 // Take reciprocal of a vector on host
619 //------------------------------------------------------------------------------
620 static int CeedHostReciprocal_Cuda(CeedScalar *h_array, CeedSize length) {
621   for (CeedSize i = 0; i < length; i++) {
622     if (fabs(h_array[i]) > CEED_EPSILON) h_array[i] = 1. / h_array[i];
623   }
624   return CEED_ERROR_SUCCESS;
625 }
626 
627 //------------------------------------------------------------------------------
628 // Take reciprocal of a vector on device (impl in .cu file)
629 //------------------------------------------------------------------------------
630 int CeedDeviceReciprocal_Cuda(CeedScalar *d_array, CeedSize length);
631 
632 //------------------------------------------------------------------------------
633 // Take reciprocal of a vector
634 //------------------------------------------------------------------------------
635 static int CeedVectorReciprocal_Cuda(CeedVector vec) {
636   CeedSize         length;
637   CeedVector_Cuda *impl;
638 
639   CeedCallBackend(CeedVectorGetData(vec, &impl));
640   CeedCallBackend(CeedVectorGetLength(vec, &length));
641   // Set value for synced device/host array
642   if (impl->d_array) CeedCallBackend(CeedDeviceReciprocal_Cuda(impl->d_array, length));
643   if (impl->h_array) CeedCallBackend(CeedHostReciprocal_Cuda(impl->h_array, length));
644   return CEED_ERROR_SUCCESS;
645 }
646 
647 //------------------------------------------------------------------------------
648 // Compute x = alpha x on the host
649 //------------------------------------------------------------------------------
650 static int CeedHostScale_Cuda(CeedScalar *x_array, CeedScalar alpha, CeedSize length) {
651   for (CeedSize i = 0; i < length; i++) x_array[i] *= alpha;
652   return CEED_ERROR_SUCCESS;
653 }
654 
655 //------------------------------------------------------------------------------
656 // Compute x = alpha x on device (impl in .cu file)
657 //------------------------------------------------------------------------------
658 int CeedDeviceScale_Cuda(CeedScalar *x_array, CeedScalar alpha, CeedSize length);
659 
660 //------------------------------------------------------------------------------
661 // Compute x = alpha x
662 //------------------------------------------------------------------------------
663 static int CeedVectorScale_Cuda(CeedVector x, CeedScalar alpha) {
664   CeedSize         length;
665   CeedVector_Cuda *x_impl;
666 
667   CeedCallBackend(CeedVectorGetData(x, &x_impl));
668   CeedCallBackend(CeedVectorGetLength(x, &length));
669   // Set value for synced device/host array
670   if (x_impl->d_array) CeedCallBackend(CeedDeviceScale_Cuda(x_impl->d_array, alpha, length));
671   if (x_impl->h_array) CeedCallBackend(CeedHostScale_Cuda(x_impl->h_array, alpha, length));
672   return CEED_ERROR_SUCCESS;
673 }
674 
675 //------------------------------------------------------------------------------
676 // Compute y = alpha x + y on the host
677 //------------------------------------------------------------------------------
678 static int CeedHostAXPY_Cuda(CeedScalar *y_array, CeedScalar alpha, CeedScalar *x_array, CeedSize length) {
679   for (CeedSize i = 0; i < length; i++) y_array[i] += alpha * x_array[i];
680   return CEED_ERROR_SUCCESS;
681 }
682 
683 //------------------------------------------------------------------------------
684 // Compute y = alpha x + y on device (impl in .cu file)
685 //------------------------------------------------------------------------------
686 int CeedDeviceAXPY_Cuda(CeedScalar *y_array, CeedScalar alpha, CeedScalar *x_array, CeedSize length);
687 
688 //------------------------------------------------------------------------------
689 // Compute y = alpha x + y
690 //------------------------------------------------------------------------------
691 static int CeedVectorAXPY_Cuda(CeedVector y, CeedScalar alpha, CeedVector x) {
692   Ceed             ceed;
693   CeedSize         length;
694   CeedVector_Cuda *y_impl, *x_impl;
695 
696   CeedCallBackend(CeedVectorGetCeed(y, &ceed));
697   CeedCallBackend(CeedVectorGetData(y, &y_impl));
698   CeedCallBackend(CeedVectorGetData(x, &x_impl));
699   CeedCallBackend(CeedVectorGetLength(y, &length));
700   // Set value for synced device/host array
701   if (y_impl->d_array) {
702     CeedCallBackend(CeedVectorSyncArray(x, CEED_MEM_DEVICE));
703     CeedCallBackend(CeedDeviceAXPY_Cuda(y_impl->d_array, alpha, x_impl->d_array, length));
704   }
705   if (y_impl->h_array) {
706     CeedCallBackend(CeedVectorSyncArray(x, CEED_MEM_HOST));
707     CeedCallBackend(CeedHostAXPY_Cuda(y_impl->h_array, alpha, x_impl->h_array, length));
708   }
709   return CEED_ERROR_SUCCESS;
710 }
711 
712 //------------------------------------------------------------------------------
713 // Compute y = alpha x + beta y on the host
714 //------------------------------------------------------------------------------
715 static int CeedHostAXPBY_Cuda(CeedScalar *y_array, CeedScalar alpha, CeedScalar beta, CeedScalar *x_array, CeedSize length) {
716   for (CeedSize i = 0; i < length; i++) y_array[i] = alpha * x_array[i] + beta * y_array[i];
717   return CEED_ERROR_SUCCESS;
718 }
719 
720 //------------------------------------------------------------------------------
721 // Compute y = alpha x + beta y on device (impl in .cu file)
722 //------------------------------------------------------------------------------
723 int CeedDeviceAXPBY_Cuda(CeedScalar *y_array, CeedScalar alpha, CeedScalar beta, CeedScalar *x_array, CeedSize length);
724 
725 //------------------------------------------------------------------------------
726 // Compute y = alpha x + beta y
727 //------------------------------------------------------------------------------
728 static int CeedVectorAXPBY_Cuda(CeedVector y, CeedScalar alpha, CeedScalar beta, CeedVector x) {
729   CeedSize         length;
730   CeedVector_Cuda *y_impl, *x_impl;
731 
732   CeedCallBackend(CeedVectorGetData(y, &y_impl));
733   CeedCallBackend(CeedVectorGetData(x, &x_impl));
734   CeedCallBackend(CeedVectorGetLength(y, &length));
735   // Set value for synced device/host array
736   if (y_impl->d_array) {
737     CeedCallBackend(CeedVectorSyncArray(x, CEED_MEM_DEVICE));
738     CeedCallBackend(CeedDeviceAXPBY_Cuda(y_impl->d_array, alpha, beta, x_impl->d_array, length));
739   }
740   if (y_impl->h_array) {
741     CeedCallBackend(CeedVectorSyncArray(x, CEED_MEM_HOST));
742     CeedCallBackend(CeedHostAXPBY_Cuda(y_impl->h_array, alpha, beta, x_impl->h_array, length));
743   }
744   return CEED_ERROR_SUCCESS;
745 }
746 
747 //------------------------------------------------------------------------------
748 // Compute the pointwise multiplication w = x .* y on the host
749 //------------------------------------------------------------------------------
750 static int CeedHostPointwiseMult_Cuda(CeedScalar *w_array, CeedScalar *x_array, CeedScalar *y_array, CeedSize length) {
751   for (CeedSize i = 0; i < length; i++) w_array[i] = x_array[i] * y_array[i];
752   return CEED_ERROR_SUCCESS;
753 }
754 
755 //------------------------------------------------------------------------------
756 // Compute the pointwise multiplication w = x .* y on device (impl in .cu file)
757 //------------------------------------------------------------------------------
758 int CeedDevicePointwiseMult_Cuda(CeedScalar *w_array, CeedScalar *x_array, CeedScalar *y_array, CeedSize length);
759 
760 //------------------------------------------------------------------------------
761 // Compute the pointwise multiplication w = x .* y
762 //------------------------------------------------------------------------------
763 static int CeedVectorPointwiseMult_Cuda(CeedVector w, CeedVector x, CeedVector y) {
764   CeedSize         length;
765   CeedVector_Cuda *w_impl, *x_impl, *y_impl;
766 
767   CeedCallBackend(CeedVectorGetData(w, &w_impl));
768   CeedCallBackend(CeedVectorGetData(x, &x_impl));
769   CeedCallBackend(CeedVectorGetData(y, &y_impl));
770   CeedCallBackend(CeedVectorGetLength(w, &length));
771   // Set value for synced device/host array
772   if (!w_impl->d_array && !w_impl->h_array) {
773     CeedCallBackend(CeedVectorSetValue(w, 0.0));
774   }
775   if (w_impl->d_array) {
776     CeedCallBackend(CeedVectorSyncArray(x, CEED_MEM_DEVICE));
777     CeedCallBackend(CeedVectorSyncArray(y, CEED_MEM_DEVICE));
778     CeedCallBackend(CeedDevicePointwiseMult_Cuda(w_impl->d_array, x_impl->d_array, y_impl->d_array, length));
779   }
780   if (w_impl->h_array) {
781     CeedCallBackend(CeedVectorSyncArray(x, CEED_MEM_HOST));
782     CeedCallBackend(CeedVectorSyncArray(y, CEED_MEM_HOST));
783     CeedCallBackend(CeedHostPointwiseMult_Cuda(w_impl->h_array, x_impl->h_array, y_impl->h_array, length));
784   }
785   return CEED_ERROR_SUCCESS;
786 }
787 
788 //------------------------------------------------------------------------------
789 // Destroy the vector
790 //------------------------------------------------------------------------------
791 static int CeedVectorDestroy_Cuda(const CeedVector vec) {
792   CeedVector_Cuda *impl;
793 
794   CeedCallBackend(CeedVectorGetData(vec, &impl));
795   CeedCallCuda(CeedVectorReturnCeed(vec), cudaFree(impl->d_array_owned));
796   CeedCallBackend(CeedFree(&impl->h_array_owned));
797   CeedCallBackend(CeedFree(&impl));
798   return CEED_ERROR_SUCCESS;
799 }
800 
801 //------------------------------------------------------------------------------
802 // Create a vector of the specified length (does not allocate memory)
803 //------------------------------------------------------------------------------
804 int CeedVectorCreate_Cuda(CeedSize n, CeedVector vec) {
805   CeedVector_Cuda *impl;
806   Ceed             ceed;
807 
808   CeedCallBackend(CeedVectorGetCeed(vec, &ceed));
809   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "HasValidArray", CeedVectorHasValidArray_Cuda));
810   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "HasBorrowedArrayOfType", CeedVectorHasBorrowedArrayOfType_Cuda));
811   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "SetArray", CeedVectorSetArray_Cuda));
812   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "TakeArray", CeedVectorTakeArray_Cuda));
813   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "CopyStrided", (int (*)())CeedVectorCopyStrided_Cuda));
814   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "SetValue", (int (*)())CeedVectorSetValue_Cuda));
815   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "SetValueStrided", (int (*)())CeedVectorSetValueStrided_Cuda));
816   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "SyncArray", CeedVectorSyncArray_Cuda));
817   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "GetArray", CeedVectorGetArray_Cuda));
818   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "GetArrayRead", CeedVectorGetArrayRead_Cuda));
819   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "GetArrayWrite", CeedVectorGetArrayWrite_Cuda));
820   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "Norm", CeedVectorNorm_Cuda));
821   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "Reciprocal", CeedVectorReciprocal_Cuda));
822   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "Scale", (int (*)())CeedVectorScale_Cuda));
823   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "AXPY", (int (*)())CeedVectorAXPY_Cuda));
824   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "AXPBY", (int (*)())CeedVectorAXPBY_Cuda));
825   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "PointwiseMult", CeedVectorPointwiseMult_Cuda));
826   CeedCallBackend(CeedSetBackendFunction(ceed, "Vector", vec, "Destroy", CeedVectorDestroy_Cuda));
827   CeedCallBackend(CeedCalloc(1, &impl));
828   CeedCallBackend(CeedVectorSetData(vec, impl));
829   return CEED_ERROR_SUCCESS;
830 }
831 
832 //------------------------------------------------------------------------------
833