xref: /petsc/src/mat/tests/ex237.c (revision 66af8762ec03dbef0e079729eb2a1734a35ed7ff) !
1 static char help[] = "Mini-app to benchmark matrix--matrix multiplication\n\n";
2 
3 /*
4   See the paper below for more information
5 
6    "KSPHPDDM and PCHPDDM: Extending PETSc with Robust Overlapping Schwarz Preconditioners and Advanced Krylov Methods",
7    P. Jolivet, J. E. Roman, and S. Zampini (2020).
8 */
9 
10 #include <petsc.h>
11 
12 #if defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE)
13   #include <mkl.h>
14   #define PetscCallMKLSparse(func, args) \
15     do { \
16       sparse_status_t __ierr; \
17       PetscStackPushExternal(#func); \
18       __ierr = func args; \
19       PetscStackPop; \
20       PetscCheck(__ierr == SPARSE_STATUS_SUCCESS, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in %s(): error code %d", #func, (int)__ierr); \
21     } while (0)
22 #else
23   #define PetscCallMKLSparse(func, args) \
24     do { \
25       SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "No MKL support"); \
26     } while (0)
27 #endif
28 
29 int main(int argc, char **argv)
30 {
31   Mat         A, C, D, E;
32   PetscInt    nbs = 10, ntype = 10, nN = 8, m, M, trial = 5;
33   PetscViewer viewer;
34   PetscInt    bs[10], N[8];
35   char       *type[10];
36   PetscMPIInt size;
37   PetscBool   flg, cuda, maij = PETSC_FALSE, check = PETSC_FALSE, trans = PETSC_FALSE, convert = PETSC_FALSE, mkl;
38   char        file[PETSC_MAX_PATH_LEN];
39 
40   PetscFunctionBeginUser;
41   PetscCall(PetscInitialize(&argc, &argv, NULL, help));
42   PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
43   PetscCheck(size == 1, PETSC_COMM_WORLD, PETSC_ERR_WRONG_MPI_SIZE, "This is a uniprocessor example only");
44   PetscCall(PetscOptionsGetString(NULL, NULL, "-f", file, PETSC_MAX_PATH_LEN, &flg));
45   PetscCheck(flg, PETSC_COMM_WORLD, PETSC_ERR_USER_INPUT, "Must indicate binary file with the -f option");
46   PetscCall(PetscOptionsGetInt(NULL, NULL, "-trial", &trial, NULL));
47   PetscCall(PetscOptionsGetIntArray(NULL, NULL, "-bs", bs, &nbs, &flg));
48   if (!flg) {
49     nbs   = 1;
50     bs[0] = 1;
51   }
52   PetscCall(PetscOptionsGetIntArray(NULL, NULL, "-N", N, &nN, &flg));
53   if (!flg) {
54     nN   = 8;
55     N[0] = 1;
56     N[1] = 2;
57     N[2] = 4;
58     N[3] = 8;
59     N[4] = 16;
60     N[5] = 32;
61     N[6] = 64;
62     N[7] = 128;
63   }
64   PetscCall(PetscOptionsGetStringArray(NULL, NULL, "-type", type, &ntype, &flg));
65   if (!flg) {
66     ntype = 1;
67     PetscCall(PetscStrallocpy(MATSEQAIJ, &type[0]));
68   }
69   PetscCall(PetscOptionsGetBool(NULL, NULL, "-check", &check, NULL));
70   PetscCall(PetscOptionsGetBool(NULL, NULL, "-trans", &trans, NULL));
71   PetscCall(PetscOptionsGetBool(NULL, NULL, "-convert_aij", &convert, NULL));
72   for (PetscInt j = 0; j < nbs; ++j) {
73     PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD, file, FILE_MODE_READ, &viewer));
74     PetscCall(MatCreate(PETSC_COMM_WORLD, &A));
75     PetscCall(MatSetFromOptions(A));
76     PetscCall(MatLoad(A, viewer));
77     PetscCall(PetscViewerDestroy(&viewer));
78     PetscCall(PetscObjectTypeCompareAny((PetscObject)A, &flg, MATSEQAIJ, MATMPIAIJ, ""));
79     PetscCheck(flg, PETSC_COMM_WORLD, PETSC_ERR_USER_INPUT, "Must indicate a MatAIJ input matrix");
80     PetscCall(MatGetSize(A, &m, &M));
81     if (m == M) {
82       Mat oA;
83       PetscCall(MatTranspose(A, MAT_INITIAL_MATRIX, &oA));
84       PetscCall(MatAXPY(A, 1.0, oA, DIFFERENT_NONZERO_PATTERN));
85       PetscCall(MatDestroy(&oA));
86     }
87     PetscCall(MatGetLocalSize(A, &m, NULL));
88     PetscCall(MatGetSize(A, &M, NULL));
89     if (bs[j] > 1) {
90       Mat                T, Tt, B;
91       const PetscScalar *ptr;
92       PetscScalar       *val, *Aa;
93       const PetscInt    *Ai, *Aj;
94       PetscInt           An, i, k;
95       PetscBool          done;
96 
97       PetscCall(MatCreateDense(PETSC_COMM_SELF, bs[j], bs[j], bs[j], bs[j], NULL, &T));
98       PetscCall(MatSetRandom(T, NULL));
99       PetscCall(MatTranspose(T, MAT_INITIAL_MATRIX, &Tt));
100       PetscCall(MatAXPY(T, 1.0, Tt, SAME_NONZERO_PATTERN));
101       PetscCall(MatDestroy(&Tt));
102       PetscCall(MatDenseGetArrayRead(T, &ptr));
103       PetscCall(MatGetRowIJ(A, 0, PETSC_FALSE, PETSC_FALSE, &An, &Ai, &Aj, &done));
104       PetscCheck(done && An == m, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Inconsistent sizes");
105       PetscCall(MatSeqAIJGetArray(A, &Aa));
106       PetscCall(MatCreate(PETSC_COMM_WORLD, &B));
107       PetscCall(MatSetType(B, MATSEQBAIJ));
108       PetscCall(MatSetSizes(B, bs[j] * An, bs[j] * An, PETSC_DECIDE, PETSC_DECIDE));
109       PetscCall(PetscMalloc1(Ai[An] * bs[j] * bs[j], &val));
110       for (i = 0; i < Ai[An]; ++i)
111         for (k = 0; k < bs[j] * bs[j]; ++k) val[i * bs[j] * bs[j] + k] = Aa[i] * ptr[k];
112       PetscCall(MatSetOption(B, MAT_ROW_ORIENTED, PETSC_FALSE));
113       PetscCall(MatSeqBAIJSetPreallocationCSR(B, bs[j], Ai, Aj, val));
114       PetscCall(PetscFree(val));
115       PetscCall(MatSeqAIJRestoreArray(A, &Aa));
116       PetscCall(MatRestoreRowIJ(A, 0, PETSC_FALSE, PETSC_FALSE, &An, &Ai, &Aj, &done));
117       PetscCall(MatDenseRestoreArrayRead(T, &ptr));
118       PetscCall(MatDestroy(&T));
119       PetscCall(MatDestroy(&A));
120       A = B;
121     }
122     /* reconvert back to SeqAIJ before converting to the desired type later */
123     if (!convert) E = A;
124     PetscCall(MatConvert(A, MATSEQAIJ, convert ? MAT_INITIAL_MATRIX : MAT_INPLACE_MATRIX, &E));
125     PetscCall(MatSetOption(E, MAT_SYMMETRIC, PETSC_TRUE));
126     for (PetscInt i = 0; i < ntype; ++i) {
127       char        *tmp = NULL;
128       PetscInt    *ia_ptr, *ja_ptr, k;
129       PetscScalar *a_ptr;
130 #if defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE)
131       struct matrix_descr descr;
132       sparse_matrix_t     spr;
133       descr.type = SPARSE_MATRIX_TYPE_GENERAL;
134       descr.diag = SPARSE_DIAG_NON_UNIT;
135 #endif
136       if (convert) PetscCall(MatDestroy(&A));
137       PetscCall(PetscStrstr(type[i], "mkl", &tmp));
138       if (tmp) {
139         size_t mlen, tlen;
140         char   base[256];
141 
142         mkl = PETSC_TRUE;
143         PetscCall(PetscStrlen(tmp, &mlen));
144         PetscCall(PetscStrlen(type[i], &tlen));
145         PetscCall(PetscStrncpy(base, type[i], tlen - mlen + 1));
146         PetscCall(MatConvert(E, base, convert ? MAT_INITIAL_MATRIX : MAT_INPLACE_MATRIX, &A));
147       } else {
148         mkl = PETSC_FALSE;
149         PetscCall(PetscStrstr(type[i], "maij", &tmp));
150         if (!tmp) {
151           PetscCall(MatConvert(E, type[i], convert ? MAT_INITIAL_MATRIX : MAT_INPLACE_MATRIX, &A));
152         } else {
153           PetscCall(MatConvert(E, MATAIJ, convert ? MAT_INITIAL_MATRIX : MAT_INPLACE_MATRIX, &A));
154           maij = PETSC_TRUE;
155         }
156       }
157       PetscCall(PetscObjectTypeCompareAny((PetscObject)A, &cuda, MATSEQAIJCUSPARSE, MATMPIAIJCUSPARSE, ""));
158       if (mkl) {
159         const PetscInt *Ai, *Aj;
160         PetscInt        An;
161         PetscBool       done;
162 
163         PetscCall(PetscObjectTypeCompareAny((PetscObject)A, &flg, MATSEQAIJ, MATSEQBAIJ, MATSEQSBAIJ, ""));
164         PetscCheck(flg, PETSC_COMM_WORLD, PETSC_ERR_USER_INPUT, "Not implemented");
165         PetscCall(PetscObjectTypeCompare((PetscObject)A, MATSEQAIJ, &flg));
166         PetscCall(MatGetRowIJ(A, 0, PETSC_FALSE, flg ? PETSC_FALSE : PETSC_TRUE, &An, &Ai, &Aj, &done));
167         PetscCheck(done, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Inconsistent sizes");
168         PetscCall(PetscMalloc1(An + 1, &ia_ptr));
169         PetscCall(PetscMalloc1(Ai[An], &ja_ptr));
170         if (flg) { /* SeqAIJ */
171           for (k = 0; k < An + 1; ++k) ia_ptr[k] = Ai[k];
172           for (k = 0; k < Ai[An]; ++k) ja_ptr[k] = Aj[k];
173           PetscCall(MatSeqAIJGetArray(A, &a_ptr));
174           PetscCallMKLSparse(mkl_sparse_d_create_csr, (&spr, SPARSE_INDEX_BASE_ZERO, An, An, ia_ptr, ia_ptr + 1, ja_ptr, a_ptr));
175         } else {
176           PetscCall(PetscObjectTypeCompare((PetscObject)A, MATSEQBAIJ, &flg));
177           if (flg) {
178             for (k = 0; k < An + 1; ++k) ia_ptr[k] = Ai[k] + 1; /* Fortran indexing to maximize cases covered by _mm routines */
179             for (k = 0; k < Ai[An]; ++k) ja_ptr[k] = Aj[k] + 1; /* Fortran indexing to maximize cases covered by _mm routines */
180             PetscCall(MatSeqBAIJGetArray(A, &a_ptr));
181             PetscCallMKLSparse(mkl_sparse_d_create_bsr, (&spr, SPARSE_INDEX_BASE_ONE, SPARSE_LAYOUT_COLUMN_MAJOR, An, An, bs[j], ia_ptr, ia_ptr + 1, ja_ptr, a_ptr));
182           } else {
183             PetscCall(PetscObjectTypeCompare((PetscObject)A, MATSEQSBAIJ, &flg));
184             if (flg) {
185               for (k = 0; k < An + 1; ++k) ia_ptr[k] = Ai[k] + 1; /* Fortran indexing to maximize cases covered by _mm routines */
186               for (k = 0; k < Ai[An]; ++k) ja_ptr[k] = Aj[k] + 1; /* Fortran indexing to maximize cases covered by _mm routines */
187               PetscCall(MatSeqSBAIJGetArray(A, &a_ptr));
188               PetscCallMKLSparse(mkl_sparse_d_create_bsr, (&spr, SPARSE_INDEX_BASE_ONE, SPARSE_LAYOUT_COLUMN_MAJOR, An, An, bs[j], ia_ptr, ia_ptr + 1, ja_ptr, a_ptr));
189 #if defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE)
190               descr.type = SPARSE_MATRIX_TYPE_SYMMETRIC;
191               descr.mode = SPARSE_FILL_MODE_UPPER;
192               descr.diag = SPARSE_DIAG_NON_UNIT;
193 #endif
194             }
195           }
196         }
197         PetscCall(PetscObjectTypeCompare((PetscObject)A, MATSEQAIJ, &flg));
198         PetscCall(MatRestoreRowIJ(A, 0, PETSC_FALSE, flg ? PETSC_FALSE : PETSC_TRUE, &An, &Ai, &Aj, &done));
199       }
200 
201       PetscCall(MatViewFromOptions(A, NULL, "-A_view"));
202 
203       for (k = 0; k < nN; ++k) {
204         MatType       Atype, Ctype;
205         PetscInt      AM, AN, CM, CN, t;
206         PetscLogStage stage, tstage;
207         char          stage_s[256];
208 
209         PetscCall(MatCreateDense(PETSC_COMM_WORLD, bs[j] * m, PETSC_DECIDE, bs[j] * M, N[k], NULL, &C));
210         PetscCall(MatCreateDense(PETSC_COMM_WORLD, bs[j] * m, PETSC_DECIDE, bs[j] * M, N[k], NULL, &D));
211         PetscCall(MatSetRandom(C, NULL));
212         if (cuda) { /* convert to GPU if needed */
213           PetscCall(MatConvert(C, MATDENSECUDA, MAT_INPLACE_MATRIX, &C));
214           PetscCall(MatConvert(D, MATDENSECUDA, MAT_INPLACE_MATRIX, &D));
215         }
216         if (mkl) {
217           if (N[k] > 1) PetscCallMKLSparse(mkl_sparse_set_mm_hint, (spr, SPARSE_OPERATION_NON_TRANSPOSE, descr, SPARSE_LAYOUT_COLUMN_MAJOR, N[k], 1 + trial));
218           else PetscCallMKLSparse(mkl_sparse_set_mv_hint, (spr, SPARSE_OPERATION_NON_TRANSPOSE, descr, 1 + trial));
219           PetscCallMKLSparse(mkl_sparse_set_memory_hint, (spr, SPARSE_MEMORY_AGGRESSIVE));
220           PetscCallMKLSparse(mkl_sparse_optimize, (spr));
221         }
222         PetscCall(MatGetType(A, &Atype));
223         PetscCall(MatGetType(C, &Ctype));
224         PetscCall(MatGetSize(A, &AM, &AN));
225         PetscCall(MatGetSize(C, &CM, &CN));
226 
227         if (!maij || N[k] > 1) {
228           PetscCall(PetscSNPrintf(stage_s, sizeof(stage_s), "type_%s-bs_%" PetscInt_FMT "-N_%02d", type[i], bs[j], (int)N[k]));
229           PetscCall(PetscLogStageRegister(stage_s, &stage));
230         }
231         if (trans && N[k] > 1) {
232           PetscCall(PetscSNPrintf(stage_s, sizeof(stage_s), "trans_type_%s-bs_%" PetscInt_FMT "-N_%02d", type[i], bs[j], (int)N[k]));
233           PetscCall(PetscLogStageRegister(stage_s, &tstage));
234         }
235         /* A*B */
236         if (N[k] > 1) {
237           if (!maij) {
238             PetscCall(MatProductCreateWithMat(A, C, NULL, D));
239             PetscCall(MatProductSetType(D, MATPRODUCT_AB));
240             PetscCall(MatProductSetFromOptions(D));
241             PetscCall(MatProductSymbolic(D));
242           }
243 
244           if (!mkl) {
245             if (!maij) {
246               PetscCall(MatProductNumeric(D));
247               PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Benchmarking MatProduct %s: with A %s %" PetscInt_FMT "x%" PetscInt_FMT " and B %s %" PetscInt_FMT "x%" PetscInt_FMT "\n", MatProductTypes[MATPRODUCT_AB], Atype, AM, AN, Ctype, CM, CN));
248               PetscCall(PetscLogStagePush(stage));
249               for (t = 0; t < trial; ++t) PetscCall(MatProductNumeric(D));
250               PetscCall(PetscLogStagePop());
251             } else {
252               Mat                E, Ct, Dt;
253               Vec                cC, cD;
254               const PetscScalar *c_ptr;
255               PetscScalar       *d_ptr;
256               PetscCall(MatCreateMAIJ(A, N[k], &E));
257               PetscCall(MatDenseGetLocalMatrix(C, &Ct));
258               PetscCall(MatDenseGetLocalMatrix(D, &Dt));
259               PetscCall(MatTranspose(Ct, MAT_INPLACE_MATRIX, &Ct));
260               PetscCall(MatTranspose(Dt, MAT_INPLACE_MATRIX, &Dt));
261               PetscCall(MatDenseGetArrayRead(Ct, &c_ptr));
262               PetscCall(MatDenseGetArrayWrite(Dt, &d_ptr));
263               PetscCall(VecCreateMPIWithArray(PETSC_COMM_WORLD, 1, AM * N[k], PETSC_DECIDE, c_ptr, &cC));
264               PetscCall(VecCreateMPIWithArray(PETSC_COMM_WORLD, 1, AM * N[k], PETSC_DECIDE, d_ptr, &cD));
265               PetscCall(MatMult(E, cC, cD));
266               PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Benchmarking MatMult: with A %s %" PetscInt_FMT "x%" PetscInt_FMT " and B %s %" PetscInt_FMT "x%" PetscInt_FMT "\n", MATMAIJ, AM, AN, VECMPI, AM * N[k], 1));
267               PetscCall(PetscLogStagePush(stage));
268               for (t = 0; t < trial; ++t) PetscCall(MatMult(E, cC, cD));
269               PetscCall(PetscLogStagePop());
270               PetscCall(VecDestroy(&cD));
271               PetscCall(VecDestroy(&cC));
272               PetscCall(MatDestroy(&E));
273               PetscCall(MatDenseRestoreArrayWrite(Dt, &d_ptr));
274               PetscCall(MatDenseRestoreArrayRead(Ct, &c_ptr));
275               PetscCall(MatTranspose(Ct, MAT_INPLACE_MATRIX, &Ct));
276               PetscCall(MatTranspose(Dt, MAT_INPLACE_MATRIX, &Dt));
277             }
278           } else {
279             const PetscScalar *c_ptr;
280             PetscScalar       *d_ptr;
281 
282             PetscCall(MatDenseGetArrayRead(C, &c_ptr));
283             PetscCall(MatDenseGetArrayWrite(D, &d_ptr));
284             PetscCallMKLSparse(mkl_sparse_d_mm, (SPARSE_OPERATION_NON_TRANSPOSE, 1.0, spr, descr, SPARSE_LAYOUT_COLUMN_MAJOR, c_ptr, CN, CM, 0.0, d_ptr, CM));
285             PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Benchmarking mkl_sparse_d_mm (COLUMN_MAJOR): with A %s %" PetscInt_FMT "x%" PetscInt_FMT " and B %s %" PetscInt_FMT "x%" PetscInt_FMT "\n", Atype, AM, AN, Ctype, CM, CN));
286             PetscCall(PetscLogStagePush(stage));
287             for (t = 0; t < trial; ++t) PetscCallMKLSparse(mkl_sparse_d_mm, (SPARSE_OPERATION_NON_TRANSPOSE, 1.0, spr, descr, SPARSE_LAYOUT_COLUMN_MAJOR, c_ptr, CN, CM, 0.0, d_ptr, CM));
288             PetscCall(PetscLogStagePop());
289             PetscCall(MatDenseRestoreArrayWrite(D, &d_ptr));
290             PetscCall(MatDenseRestoreArrayRead(C, &c_ptr));
291           }
292         } else if (maij) {
293           PetscCall(MatDestroy(&C));
294           PetscCall(MatDestroy(&D));
295           continue;
296         } else if (!mkl) {
297           Vec cC, cD;
298 
299           PetscCall(MatDenseGetColumnVecRead(C, 0, &cC));
300           PetscCall(MatDenseGetColumnVecWrite(D, 0, &cD));
301           PetscCall(MatMult(A, cC, cD));
302           PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Benchmarking MatMult: with A %s %" PetscInt_FMT "x%" PetscInt_FMT "\n", Atype, AM, AN));
303           PetscCall(PetscLogStagePush(stage));
304           for (t = 0; t < trial; ++t) PetscCall(MatMult(A, cC, cD));
305           PetscCall(PetscLogStagePop());
306           PetscCall(MatDenseRestoreColumnVecRead(C, 0, &cC));
307           PetscCall(MatDenseRestoreColumnVecWrite(D, 0, &cD));
308         } else {
309           const PetscScalar *c_ptr;
310           PetscScalar       *d_ptr;
311 
312           PetscCall(MatDenseGetArrayRead(C, &c_ptr));
313           PetscCall(MatDenseGetArrayWrite(D, &d_ptr));
314           PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Benchmarking mkl_sparse_d_mv: with A %s %" PetscInt_FMT "x%" PetscInt_FMT "\n", Atype, AM, AN));
315           PetscCallMKLSparse(mkl_sparse_d_mv, (SPARSE_OPERATION_NON_TRANSPOSE, 1.0, spr, descr, c_ptr, 0.0, d_ptr));
316           PetscCall(PetscLogStagePush(stage));
317           for (t = 0; t < trial; ++t) PetscCallMKLSparse(mkl_sparse_d_mv, (SPARSE_OPERATION_NON_TRANSPOSE, 1.0, spr, descr, c_ptr, 0.0, d_ptr));
318           PetscCall(PetscLogStagePop());
319           PetscCall(MatDenseRestoreArrayWrite(D, &d_ptr));
320           PetscCall(MatDenseRestoreArrayRead(C, &c_ptr));
321         }
322 
323         if (check) {
324           PetscCall(MatMatMultEqual(A, C, D, 10, &flg));
325           if (!flg) {
326             MatType Dtype;
327 
328             PetscCall(MatGetType(D, &Dtype));
329             PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error with A %s%s, C %s, D %s, Nk %" PetscInt_FMT "\n", Atype, mkl ? "mkl" : "", Ctype, Dtype, N[k]));
330           }
331         }
332 
333         /* MKL implementation seems buggy for ABt */
334         /* A*Bt */
335         if (!mkl && trans && N[k] > 1) {
336           PetscCall(PetscObjectTypeCompareAny((PetscObject)A, &flg, MATSEQAIJ, MATMPIAIJ, ""));
337           if (flg) {
338             PetscCall(MatTranspose(C, MAT_INPLACE_MATRIX, &C));
339             PetscCall(MatGetType(C, &Ctype));
340             if (!mkl) {
341               PetscCall(MatProductCreateWithMat(A, C, NULL, D));
342               PetscCall(MatProductSetType(D, MATPRODUCT_ABt));
343               PetscCall(MatProductSetFromOptions(D));
344               PetscCall(MatProductSymbolic(D));
345               PetscCall(MatProductNumeric(D));
346               PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Benchmarking MatProduct %s: with A %s %" PetscInt_FMT "x%" PetscInt_FMT " and Bt %s %" PetscInt_FMT "x%" PetscInt_FMT "\n", MatProductTypes[MATPRODUCT_ABt], Atype, AM, AN, Ctype, CM, CN));
347               PetscCall(PetscLogStagePush(tstage));
348               for (t = 0; t < trial; ++t) PetscCall(MatProductNumeric(D));
349               PetscCall(PetscLogStagePop());
350             } else {
351               const PetscScalar *c_ptr;
352               PetscScalar       *d_ptr;
353 
354               PetscCallMKLSparse(mkl_sparse_set_mm_hint, (spr, SPARSE_OPERATION_NON_TRANSPOSE, descr, SPARSE_LAYOUT_ROW_MAJOR, N[k], 1 + trial));
355               PetscCallMKLSparse(mkl_sparse_optimize, (spr));
356               PetscCall(MatDenseGetArrayRead(C, &c_ptr));
357               PetscCall(MatDenseGetArrayWrite(D, &d_ptr));
358               PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Benchmarking mkl_sparse_d_mm (ROW_MAJOR): with A %s %" PetscInt_FMT "x%" PetscInt_FMT " and B %s %" PetscInt_FMT "x%" PetscInt_FMT "\n", Atype, AM, AN, Ctype, CM, CN));
359               PetscCallMKLSparse(mkl_sparse_d_mm, (SPARSE_OPERATION_NON_TRANSPOSE, 1.0, spr, descr, SPARSE_LAYOUT_ROW_MAJOR, c_ptr, CN, CM, 0.0, d_ptr, CM));
360               PetscCall(PetscLogStagePush(stage));
361               for (t = 0; t < trial; ++t) PetscCallMKLSparse(mkl_sparse_d_mm, (SPARSE_OPERATION_NON_TRANSPOSE, 1.0, spr, descr, SPARSE_LAYOUT_ROW_MAJOR, c_ptr, CN, CM, 0.0, d_ptr, CM));
362               PetscCall(PetscLogStagePop());
363               PetscCall(MatDenseRestoreArrayWrite(D, &d_ptr));
364               PetscCall(MatDenseRestoreArrayRead(C, &c_ptr));
365             }
366           }
367         }
368 
369         if (!mkl && trans && N[k] > 1 && flg && check) {
370           PetscCall(MatMatTransposeMultEqual(A, C, D, 10, &flg));
371           if (!flg) {
372             MatType Dtype;
373             PetscCall(MatGetType(D, &Dtype));
374             PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error with A %s%s, C %s, D %s, Nk %" PetscInt_FMT "\n", Atype, mkl ? "mkl" : "", Ctype, Dtype, N[k]));
375           }
376         }
377         PetscCall(MatDestroy(&C));
378         PetscCall(MatDestroy(&D));
379       }
380       if (mkl) {
381         PetscCallMKLSparse(mkl_sparse_destroy, (spr));
382         PetscCall(PetscFree(ia_ptr));
383         PetscCall(PetscFree(ja_ptr));
384       }
385       if (cuda && i != ntype - 1) {
386         PetscCall(PetscPrintf(PETSC_COMM_WORLD, "AIJCUSPARSE must be last, otherwise MatConvert() to another MatType is too slow\n"));
387         break;
388       }
389     }
390     if (E != A) PetscCall(MatDestroy(&E));
391     PetscCall(MatDestroy(&A));
392   }
393   for (m = 0; m < ntype; ++m) PetscCall(PetscFree(type[m]));
394   PetscCall(PetscFinalize());
395   return 0;
396 }
397 
398 /*TEST
399    build:
400      requires: double !complex !defined(PETSC_USE_64BIT_INDICES)
401 
402    testset:
403      nsize: 1
404      filter: sed "/Benchmarking/d"
405      args: -f ${wPETSC_DIR}/share/petsc/datafiles/matrices/spd-real-int32-float64 -bs 1,2,3 -N 1,2,18 -check -trans -convert_aij {{false true}shared output}
406      test:
407        suffix: basic
408        args: -type aij,sbaij,baij
409        output_file: output/ex237.out
410      test:
411        suffix: maij
412        args: -type aij,maij
413        output_file: output/ex237.out
414      test:
415        suffix: cuda
416        requires: cuda
417        args: -type aij,aijcusparse
418        output_file: output/ex237.out
419      test:
420        suffix: mkl
421        requires: mkl_sparse_optimize
422        args: -type aij,aijmkl,baijmkl,sbaijmkl
423        output_file: output/ex237.out
424 
425 TEST*/
426