xref: /petsc/src/mat/impls/dense/mpi/mpidense.c (revision 67f7d742d70e61a8a21ffc5235261ec57ea3c5cd)
1 /*
2    Basic functions for basic parallel dense matrices.
3    Portions of this code are under:
4    Copyright (c) 2022 Advanced Micro Devices, Inc. All rights reserved.
5 */
6 
7 #include <../src/mat/impls/dense/mpi/mpidense.h> /*I   "petscmat.h"  I*/
8 #include <../src/mat/impls/aij/mpi/mpiaij.h>
9 #include <petscblaslapack.h>
10 #include <petsc/private/vecimpl.h>
11 
12 /*@
13   MatDenseGetLocalMatrix - For a `MATMPIDENSE` or `MATSEQDENSE` matrix returns the sequential
14   matrix that represents the operator. For sequential matrices it returns itself.
15 
16   Input Parameter:
17 . A - the sequential or MPI `MATDENSE` matrix
18 
19   Output Parameter:
20 . B - the inner matrix
21 
22   Level: intermediate
23 
24 .seealso: [](ch_matrices), `Mat`, `MATDENSE`, `MATMPIDENSE`, `MATSEQDENSE`
25 @*/
26 PetscErrorCode MatDenseGetLocalMatrix(Mat A, Mat *B)
27 {
28   Mat_MPIDense *mat = (Mat_MPIDense *)A->data;
29   PetscBool     flg;
30 
31   PetscFunctionBegin;
32   PetscValidHeaderSpecific(A, MAT_CLASSID, 1);
33   PetscAssertPointer(B, 2);
34   PetscCall(PetscObjectBaseTypeCompare((PetscObject)A, MATMPIDENSE, &flg));
35   if (flg) *B = mat->A;
36   else {
37     PetscCall(PetscObjectBaseTypeCompare((PetscObject)A, MATSEQDENSE, &flg));
38     PetscCheck(flg, PetscObjectComm((PetscObject)A), PETSC_ERR_SUP, "Not for matrix type %s", ((PetscObject)A)->type_name);
39     *B = A;
40   }
41   PetscFunctionReturn(PETSC_SUCCESS);
42 }
43 
44 static PetscErrorCode MatCopy_MPIDense(Mat A, Mat B, MatStructure s)
45 {
46   Mat_MPIDense *Amat = (Mat_MPIDense *)A->data;
47   Mat_MPIDense *Bmat = (Mat_MPIDense *)B->data;
48 
49   PetscFunctionBegin;
50   PetscCall(MatCopy(Amat->A, Bmat->A, s));
51   PetscFunctionReturn(PETSC_SUCCESS);
52 }
53 
54 PetscErrorCode MatShift_MPIDense(Mat A, PetscScalar alpha)
55 {
56   Mat_MPIDense *mat = (Mat_MPIDense *)A->data;
57   PetscInt      j, lda, rstart = A->rmap->rstart, rend = A->rmap->rend, rend2;
58   PetscScalar  *v;
59 
60   PetscFunctionBegin;
61   PetscCall(MatDenseGetArray(mat->A, &v));
62   PetscCall(MatDenseGetLDA(mat->A, &lda));
63   rend2 = PetscMin(rend, A->cmap->N);
64   if (rend2 > rstart) {
65     for (j = rstart; j < rend2; j++) v[j - rstart + j * lda] += alpha;
66     PetscCall(PetscLogFlops(rend2 - rstart));
67   }
68   PetscCall(MatDenseRestoreArray(mat->A, &v));
69   PetscFunctionReturn(PETSC_SUCCESS);
70 }
71 
72 static PetscErrorCode MatGetRow_MPIDense(Mat A, PetscInt row, PetscInt *nz, PetscInt **idx, PetscScalar **v)
73 {
74   Mat_MPIDense *mat = (Mat_MPIDense *)A->data;
75   PetscInt      lrow, rstart = A->rmap->rstart, rend = A->rmap->rend;
76 
77   PetscFunctionBegin;
78   PetscCheck(row >= rstart && row < rend, PETSC_COMM_SELF, PETSC_ERR_SUP, "only local rows");
79   lrow = row - rstart;
80   PetscCall(MatGetRow(mat->A, lrow, nz, (const PetscInt **)idx, (const PetscScalar **)v));
81   PetscFunctionReturn(PETSC_SUCCESS);
82 }
83 
84 static PetscErrorCode MatRestoreRow_MPIDense(Mat A, PetscInt row, PetscInt *nz, PetscInt **idx, PetscScalar **v)
85 {
86   Mat_MPIDense *mat = (Mat_MPIDense *)A->data;
87   PetscInt      lrow, rstart = A->rmap->rstart, rend = A->rmap->rend;
88 
89   PetscFunctionBegin;
90   PetscCheck(row >= rstart && row < rend, PETSC_COMM_SELF, PETSC_ERR_SUP, "only local rows");
91   lrow = row - rstart;
92   PetscCall(MatRestoreRow(mat->A, lrow, nz, (const PetscInt **)idx, (const PetscScalar **)v));
93   PetscFunctionReturn(PETSC_SUCCESS);
94 }
95 
96 static PetscErrorCode MatGetDiagonalBlock_MPIDense(Mat A, Mat *a)
97 {
98   Mat_MPIDense *mdn = (Mat_MPIDense *)A->data;
99   PetscInt      m = A->rmap->n, rstart = A->rmap->rstart;
100   PetscScalar  *array;
101   MPI_Comm      comm;
102   PetscBool     flg;
103   Mat           B;
104 
105   PetscFunctionBegin;
106   PetscCall(MatHasCongruentLayouts(A, &flg));
107   PetscCheck(flg, PETSC_COMM_SELF, PETSC_ERR_SUP, "Only square matrices supported.");
108   PetscCall(PetscObjectQuery((PetscObject)A, "DiagonalBlock", (PetscObject *)&B));
109   if (!B) { /* This should use MatDenseGetSubMatrix (not create), but we would need a call like MatRestoreDiagonalBlock */
110 #if PetscDefined(HAVE_CUDA)
111     PetscCall(PetscObjectTypeCompare((PetscObject)mdn->A, MATSEQDENSECUDA, &flg));
112     PetscCheck(!flg, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not coded for %s. Send an email to petsc-dev@mcs.anl.gov to request this feature", MATSEQDENSECUDA);
113 #elif PetscDefined(HAVE_HIP)
114     PetscCall(PetscObjectTypeCompare((PetscObject)mdn->A, MATSEQDENSEHIP, &flg));
115     PetscCheck(!flg, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not coded for %s. Send an email to petsc-dev@mcs.anl.gov to request this feature", MATSEQDENSEHIP);
116 #endif
117     PetscCall(PetscObjectGetComm((PetscObject)mdn->A, &comm));
118     PetscCall(MatCreate(comm, &B));
119     PetscCall(MatSetSizes(B, m, m, m, m));
120     PetscCall(MatSetType(B, ((PetscObject)mdn->A)->type_name));
121     PetscCall(MatDenseGetArrayRead(mdn->A, (const PetscScalar **)&array));
122     PetscCall(MatSeqDenseSetPreallocation(B, array + m * rstart));
123     PetscCall(MatDenseRestoreArrayRead(mdn->A, (const PetscScalar **)&array));
124     PetscCall(PetscObjectCompose((PetscObject)A, "DiagonalBlock", (PetscObject)B));
125     *a = B;
126     PetscCall(MatDestroy(&B));
127   } else *a = B;
128   PetscFunctionReturn(PETSC_SUCCESS);
129 }
130 
131 static PetscErrorCode MatSetValues_MPIDense(Mat mat, PetscInt m, const PetscInt idxm[], PetscInt n, const PetscInt idxn[], const PetscScalar v[], InsertMode addv)
132 {
133   Mat_MPIDense *A = (Mat_MPIDense *)mat->data;
134   PetscInt      i, j, rstart = mat->rmap->rstart, rend = mat->rmap->rend, row;
135   PetscBool     roworiented = A->roworiented;
136 
137   PetscFunctionBegin;
138   for (i = 0; i < m; i++) {
139     if (idxm[i] < 0) continue;
140     PetscCheck(idxm[i] < mat->rmap->N, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Row too large");
141     if (idxm[i] >= rstart && idxm[i] < rend) {
142       row = idxm[i] - rstart;
143       if (roworiented) {
144         PetscCall(MatSetValues(A->A, 1, &row, n, idxn, PetscSafePointerPlusOffset(v, i * n), addv));
145       } else {
146         for (j = 0; j < n; j++) {
147           if (idxn[j] < 0) continue;
148           PetscCheck(idxn[j] < mat->cmap->N, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Column too large");
149           PetscCall(MatSetValues(A->A, 1, &row, 1, &idxn[j], PetscSafePointerPlusOffset(v, i + j * m), addv));
150         }
151       }
152     } else if (!A->donotstash) {
153       mat->assembled = PETSC_FALSE;
154       if (roworiented) {
155         PetscCall(MatStashValuesRow_Private(&mat->stash, idxm[i], n, idxn, PetscSafePointerPlusOffset(v, i * n), PETSC_FALSE));
156       } else {
157         PetscCall(MatStashValuesCol_Private(&mat->stash, idxm[i], n, idxn, PetscSafePointerPlusOffset(v, i), m, PETSC_FALSE));
158       }
159     }
160   }
161   PetscFunctionReturn(PETSC_SUCCESS);
162 }
163 
164 static PetscErrorCode MatGetValues_MPIDense(Mat mat, PetscInt m, const PetscInt idxm[], PetscInt n, const PetscInt idxn[], PetscScalar v[])
165 {
166   Mat_MPIDense *mdn = (Mat_MPIDense *)mat->data;
167   PetscInt      i, j, rstart = mat->rmap->rstart, rend = mat->rmap->rend, row;
168 
169   PetscFunctionBegin;
170   for (i = 0; i < m; i++) {
171     if (idxm[i] < 0) continue; /* negative row */
172     PetscCheck(idxm[i] < mat->rmap->N, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Row too large");
173     if (idxm[i] >= rstart && idxm[i] < rend) {
174       row = idxm[i] - rstart;
175       for (j = 0; j < n; j++) {
176         if (idxn[j] < 0) continue; /* negative column */
177         PetscCheck(idxn[j] < mat->cmap->N, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Column too large");
178         PetscCall(MatGetValues(mdn->A, 1, &row, 1, &idxn[j], v + i * n + j));
179       }
180     } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "Only local values currently supported");
181   }
182   PetscFunctionReturn(PETSC_SUCCESS);
183 }
184 
185 static PetscErrorCode MatDenseGetLDA_MPIDense(Mat A, PetscInt *lda)
186 {
187   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
188 
189   PetscFunctionBegin;
190   PetscCall(MatDenseGetLDA(a->A, lda));
191   PetscFunctionReturn(PETSC_SUCCESS);
192 }
193 
194 static PetscErrorCode MatDenseSetLDA_MPIDense(Mat A, PetscInt lda)
195 {
196   Mat_MPIDense *a     = (Mat_MPIDense *)A->data;
197   MatType       mtype = MATSEQDENSE;
198 
199   PetscFunctionBegin;
200   if (!a->A) {
201     PetscCheck(!a->matinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreSubMatrix() first");
202     PetscCall(PetscLayoutSetUp(A->rmap));
203     PetscCall(PetscLayoutSetUp(A->cmap));
204     PetscCall(MatCreate(PETSC_COMM_SELF, &a->A));
205     PetscCall(MatSetSizes(a->A, A->rmap->n, A->cmap->N, A->rmap->n, A->cmap->N));
206 #if PetscDefined(HAVE_CUDA)
207     PetscBool iscuda;
208     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMPIDENSECUDA, &iscuda));
209     if (iscuda) mtype = MATSEQDENSECUDA;
210 #elif PetscDefined(HAVE_HIP)
211     PetscBool iship;
212     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMPIDENSEHIP, &iship));
213     if (iship) mtype = MATSEQDENSEHIP;
214 #endif
215     PetscCall(MatSetType(a->A, mtype));
216   }
217   PetscCall(MatDenseSetLDA(a->A, lda));
218   PetscFunctionReturn(PETSC_SUCCESS);
219 }
220 
221 static PetscErrorCode MatDenseGetArray_MPIDense(Mat A, PetscScalar **array)
222 {
223   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
224 
225   PetscFunctionBegin;
226   PetscCheck(!a->matinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreSubMatrix() first");
227   PetscCall(MatDenseGetArray(a->A, array));
228   PetscFunctionReturn(PETSC_SUCCESS);
229 }
230 
231 static PetscErrorCode MatDenseGetArrayRead_MPIDense(Mat A, PetscScalar **array)
232 {
233   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
234 
235   PetscFunctionBegin;
236   PetscCheck(!a->matinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreSubMatrix() first");
237   PetscCall(MatDenseGetArrayRead(a->A, (const PetscScalar **)array));
238   PetscFunctionReturn(PETSC_SUCCESS);
239 }
240 
241 static PetscErrorCode MatDenseGetArrayWrite_MPIDense(Mat A, PetscScalar **array)
242 {
243   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
244 
245   PetscFunctionBegin;
246   PetscCheck(!a->matinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreSubMatrix() first");
247   PetscCall(MatDenseGetArrayWrite(a->A, array));
248   PetscFunctionReturn(PETSC_SUCCESS);
249 }
250 
251 static PetscErrorCode MatDensePlaceArray_MPIDense(Mat A, const PetscScalar *array)
252 {
253   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
254 
255   PetscFunctionBegin;
256   PetscCheck(!a->vecinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreColumnVec() first");
257   PetscCheck(!a->matinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreSubMatrix() first");
258   PetscCall(MatDensePlaceArray(a->A, array));
259   PetscFunctionReturn(PETSC_SUCCESS);
260 }
261 
262 static PetscErrorCode MatDenseResetArray_MPIDense(Mat A)
263 {
264   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
265 
266   PetscFunctionBegin;
267   PetscCheck(!a->vecinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreColumnVec() first");
268   PetscCheck(!a->matinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreSubMatrix() first");
269   PetscCall(MatDenseResetArray(a->A));
270   PetscFunctionReturn(PETSC_SUCCESS);
271 }
272 
273 static PetscErrorCode MatDenseReplaceArray_MPIDense(Mat A, const PetscScalar *array)
274 {
275   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
276 
277   PetscFunctionBegin;
278   PetscCheck(!a->vecinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreColumnVec() first");
279   PetscCheck(!a->matinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreSubMatrix() first");
280   PetscCall(MatDenseReplaceArray(a->A, array));
281   PetscFunctionReturn(PETSC_SUCCESS);
282 }
283 
284 static PetscErrorCode MatCreateSubMatrix_MPIDense(Mat A, IS isrow, IS iscol, MatReuse scall, Mat *B)
285 {
286   Mat_MPIDense      *mat = (Mat_MPIDense *)A->data, *newmatd;
287   PetscInt           lda, i, j, rstart, rend, nrows, ncols, Ncols, nlrows, nlcols;
288   const PetscInt    *irow, *icol;
289   const PetscScalar *v;
290   PetscScalar       *bv;
291   Mat                newmat;
292   IS                 iscol_local;
293   MPI_Comm           comm_is, comm_mat;
294 
295   PetscFunctionBegin;
296   PetscCall(PetscObjectGetComm((PetscObject)A, &comm_mat));
297   PetscCall(PetscObjectGetComm((PetscObject)iscol, &comm_is));
298   PetscCheck(comm_mat == comm_is, PETSC_COMM_SELF, PETSC_ERR_ARG_NOTSAMECOMM, "IS communicator must match matrix communicator");
299 
300   PetscCall(ISAllGather(iscol, &iscol_local));
301   PetscCall(ISGetIndices(isrow, &irow));
302   PetscCall(ISGetIndices(iscol_local, &icol));
303   PetscCall(ISGetLocalSize(isrow, &nrows));
304   PetscCall(ISGetLocalSize(iscol, &ncols));
305   PetscCall(ISGetSize(iscol, &Ncols)); /* global number of columns, size of iscol_local */
306 
307   /* No parallel redistribution currently supported! Should really check each index set
308      to confirm that it is OK.  ... Currently supports only submatrix same partitioning as
309      original matrix! */
310 
311   PetscCall(MatGetLocalSize(A, &nlrows, &nlcols));
312   PetscCall(MatGetOwnershipRange(A, &rstart, &rend));
313 
314   /* Check submatrix call */
315   if (scall == MAT_REUSE_MATRIX) {
316     /* SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size"); */
317     /* Really need to test rows and column sizes! */
318     newmat = *B;
319   } else {
320     /* Create and fill new matrix */
321     PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &newmat));
322     PetscCall(MatSetSizes(newmat, nrows, ncols, PETSC_DECIDE, Ncols));
323     PetscCall(MatSetType(newmat, ((PetscObject)A)->type_name));
324     PetscCall(MatMPIDenseSetPreallocation(newmat, NULL));
325   }
326 
327   /* Now extract the data pointers and do the copy, column at a time */
328   newmatd = (Mat_MPIDense *)newmat->data;
329   PetscCall(MatDenseGetArray(newmatd->A, &bv));
330   PetscCall(MatDenseGetArrayRead(mat->A, &v));
331   PetscCall(MatDenseGetLDA(mat->A, &lda));
332   for (i = 0; i < Ncols; i++) {
333     const PetscScalar *av = v + lda * icol[i];
334     for (j = 0; j < nrows; j++) *bv++ = av[irow[j] - rstart];
335   }
336   PetscCall(MatDenseRestoreArrayRead(mat->A, &v));
337   PetscCall(MatDenseRestoreArray(newmatd->A, &bv));
338 
339   /* Assemble the matrices so that the correct flags are set */
340   PetscCall(MatAssemblyBegin(newmat, MAT_FINAL_ASSEMBLY));
341   PetscCall(MatAssemblyEnd(newmat, MAT_FINAL_ASSEMBLY));
342 
343   /* Free work space */
344   PetscCall(ISRestoreIndices(isrow, &irow));
345   PetscCall(ISRestoreIndices(iscol_local, &icol));
346   PetscCall(ISDestroy(&iscol_local));
347   *B = newmat;
348   PetscFunctionReturn(PETSC_SUCCESS);
349 }
350 
351 static PetscErrorCode MatDenseRestoreArray_MPIDense(Mat A, PetscScalar **array)
352 {
353   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
354 
355   PetscFunctionBegin;
356   PetscCall(MatDenseRestoreArray(a->A, array));
357   PetscFunctionReturn(PETSC_SUCCESS);
358 }
359 
360 static PetscErrorCode MatDenseRestoreArrayRead_MPIDense(Mat A, PetscScalar **array)
361 {
362   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
363 
364   PetscFunctionBegin;
365   PetscCall(MatDenseRestoreArrayRead(a->A, (const PetscScalar **)array));
366   PetscFunctionReturn(PETSC_SUCCESS);
367 }
368 
369 static PetscErrorCode MatDenseRestoreArrayWrite_MPIDense(Mat A, PetscScalar **array)
370 {
371   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
372 
373   PetscFunctionBegin;
374   PetscCall(MatDenseRestoreArrayWrite(a->A, array));
375   PetscFunctionReturn(PETSC_SUCCESS);
376 }
377 
378 static PetscErrorCode MatAssemblyBegin_MPIDense(Mat mat, MatAssemblyType mode)
379 {
380   Mat_MPIDense *mdn = (Mat_MPIDense *)mat->data;
381   PetscInt      nstash, reallocs;
382 
383   PetscFunctionBegin;
384   if (mdn->donotstash || mat->nooffprocentries) PetscFunctionReturn(PETSC_SUCCESS);
385 
386   PetscCall(MatStashScatterBegin_Private(mat, &mat->stash, mat->rmap->range));
387   PetscCall(MatStashGetInfo_Private(&mat->stash, &nstash, &reallocs));
388   PetscCall(PetscInfo(mdn->A, "Stash has %" PetscInt_FMT " entries, uses %" PetscInt_FMT " mallocs.\n", nstash, reallocs));
389   PetscFunctionReturn(PETSC_SUCCESS);
390 }
391 
392 static PetscErrorCode MatAssemblyEnd_MPIDense(Mat mat, MatAssemblyType mode)
393 {
394   Mat_MPIDense *mdn = (Mat_MPIDense *)mat->data;
395   PetscInt      i, *row, *col, flg, j, rstart, ncols;
396   PetscMPIInt   n;
397   PetscScalar  *val;
398 
399   PetscFunctionBegin;
400   if (!mdn->donotstash && !mat->nooffprocentries) {
401     /*  wait on receives */
402     while (1) {
403       PetscCall(MatStashScatterGetMesg_Private(&mat->stash, &n, &row, &col, &val, &flg));
404       if (!flg) break;
405 
406       for (i = 0; i < n;) {
407         /* Now identify the consecutive vals belonging to the same row */
408         for (j = i, rstart = row[j]; j < n; j++) {
409           if (row[j] != rstart) break;
410         }
411         if (j < n) ncols = j - i;
412         else ncols = n - i;
413         /* Now assemble all these values with a single function call */
414         PetscCall(MatSetValues_MPIDense(mat, 1, row + i, ncols, col + i, val + i, mat->insertmode));
415         i = j;
416       }
417     }
418     PetscCall(MatStashScatterEnd_Private(&mat->stash));
419   }
420 
421   PetscCall(MatAssemblyBegin(mdn->A, mode));
422   PetscCall(MatAssemblyEnd(mdn->A, mode));
423   PetscFunctionReturn(PETSC_SUCCESS);
424 }
425 
426 static PetscErrorCode MatZeroEntries_MPIDense(Mat A)
427 {
428   Mat_MPIDense *l = (Mat_MPIDense *)A->data;
429 
430   PetscFunctionBegin;
431   PetscCall(MatZeroEntries(l->A));
432   PetscFunctionReturn(PETSC_SUCCESS);
433 }
434 
435 static PetscErrorCode MatZeroRows_MPIDense(Mat A, PetscInt n, const PetscInt rows[], PetscScalar diag, Vec x, Vec b)
436 {
437   Mat_MPIDense *l = (Mat_MPIDense *)A->data;
438   PetscInt      i, len, *lrows;
439 
440   PetscFunctionBegin;
441   /* get locally owned rows */
442   PetscCall(PetscLayoutMapLocal(A->rmap, n, rows, &len, &lrows, NULL));
443   /* fix right-hand side if needed */
444   if (x && b) {
445     const PetscScalar *xx;
446     PetscScalar       *bb;
447 
448     PetscCall(VecGetArrayRead(x, &xx));
449     PetscCall(VecGetArrayWrite(b, &bb));
450     for (i = 0; i < len; ++i) bb[lrows[i]] = diag * xx[lrows[i]];
451     PetscCall(VecRestoreArrayRead(x, &xx));
452     PetscCall(VecRestoreArrayWrite(b, &bb));
453   }
454   PetscCall(MatZeroRows(l->A, len, lrows, 0.0, NULL, NULL));
455   if (diag != 0.0) {
456     Vec d;
457 
458     PetscCall(MatCreateVecs(A, NULL, &d));
459     PetscCall(VecSet(d, diag));
460     PetscCall(MatDiagonalSet(A, d, INSERT_VALUES));
461     PetscCall(VecDestroy(&d));
462   }
463   PetscCall(PetscFree(lrows));
464   PetscFunctionReturn(PETSC_SUCCESS);
465 }
466 
467 PETSC_INTERN PetscErrorCode MatMult_SeqDense(Mat, Vec, Vec);
468 PETSC_INTERN PetscErrorCode MatMultAdd_SeqDense(Mat, Vec, Vec, Vec);
469 PETSC_INTERN PetscErrorCode MatMultTranspose_SeqDense(Mat, Vec, Vec);
470 PETSC_INTERN PetscErrorCode MatMultTransposeAdd_SeqDense(Mat, Vec, Vec, Vec);
471 
472 static PetscErrorCode MatMult_MPIDense(Mat mat, Vec xx, Vec yy)
473 {
474   Mat_MPIDense      *mdn = (Mat_MPIDense *)mat->data;
475   const PetscScalar *ax;
476   PetscScalar       *ay;
477   PetscMemType       axmtype, aymtype;
478 
479   PetscFunctionBegin;
480   if (!mdn->Mvctx) PetscCall(MatSetUpMultiply_MPIDense(mat));
481   PetscCall(VecGetArrayReadAndMemType(xx, &ax, &axmtype));
482   PetscCall(VecGetArrayAndMemType(mdn->lvec, &ay, &aymtype));
483   PetscCall(PetscSFBcastWithMemTypeBegin(mdn->Mvctx, MPIU_SCALAR, axmtype, ax, aymtype, ay, MPI_REPLACE));
484   PetscCall(PetscSFBcastEnd(mdn->Mvctx, MPIU_SCALAR, ax, ay, MPI_REPLACE));
485   PetscCall(VecRestoreArrayAndMemType(mdn->lvec, &ay));
486   PetscCall(VecRestoreArrayReadAndMemType(xx, &ax));
487   PetscCall((*mdn->A->ops->mult)(mdn->A, mdn->lvec, yy));
488   PetscFunctionReturn(PETSC_SUCCESS);
489 }
490 
491 static PetscErrorCode MatMultAddColumnRange_MPIDense(Mat mat, Vec xx, Vec yy, Vec zz, PetscInt c_start, PetscInt c_end)
492 {
493   Mat_MPIDense      *mdn = (Mat_MPIDense *)mat->data;
494   const PetscScalar *ax;
495   PetscScalar       *ay;
496   PetscMemType       axmtype, aymtype;
497 
498   PetscFunctionBegin;
499   if (!mdn->Mvctx) PetscCall(MatSetUpMultiply_MPIDense(mat));
500   PetscCall(VecGetArrayReadAndMemType(xx, &ax, &axmtype));
501   PetscCall(VecGetArrayAndMemType(mdn->lvec, &ay, &aymtype));
502   PetscCall(PetscSFBcastWithMemTypeBegin(mdn->Mvctx, MPIU_SCALAR, axmtype, ax, aymtype, ay, MPI_REPLACE));
503   PetscCall(PetscSFBcastEnd(mdn->Mvctx, MPIU_SCALAR, ax, ay, MPI_REPLACE));
504   PetscCall(VecRestoreArrayAndMemType(mdn->lvec, &ay));
505   PetscCall(VecRestoreArrayReadAndMemType(xx, &ax));
506   PetscUseMethod(mdn->A, "MatMultAddColumnRange_C", (Mat, Vec, Vec, Vec, PetscInt, PetscInt), (mdn->A, mdn->lvec, yy, zz, c_start, c_end));
507   PetscFunctionReturn(PETSC_SUCCESS);
508 }
509 
510 static PetscErrorCode MatMultAdd_MPIDense(Mat mat, Vec xx, Vec yy, Vec zz)
511 {
512   Mat_MPIDense      *mdn = (Mat_MPIDense *)mat->data;
513   const PetscScalar *ax;
514   PetscScalar       *ay;
515   PetscMemType       axmtype, aymtype;
516 
517   PetscFunctionBegin;
518   if (!mdn->Mvctx) PetscCall(MatSetUpMultiply_MPIDense(mat));
519   PetscCall(VecGetArrayReadAndMemType(xx, &ax, &axmtype));
520   PetscCall(VecGetArrayAndMemType(mdn->lvec, &ay, &aymtype));
521   PetscCall(PetscSFBcastWithMemTypeBegin(mdn->Mvctx, MPIU_SCALAR, axmtype, ax, aymtype, ay, MPI_REPLACE));
522   PetscCall(PetscSFBcastEnd(mdn->Mvctx, MPIU_SCALAR, ax, ay, MPI_REPLACE));
523   PetscCall(VecRestoreArrayAndMemType(mdn->lvec, &ay));
524   PetscCall(VecRestoreArrayReadAndMemType(xx, &ax));
525   PetscCall((*mdn->A->ops->multadd)(mdn->A, mdn->lvec, yy, zz));
526   PetscFunctionReturn(PETSC_SUCCESS);
527 }
528 
529 static PetscErrorCode MatMultHermitianTransposeColumnRange_MPIDense(Mat A, Vec xx, Vec yy, PetscInt c_start, PetscInt c_end)
530 {
531   Mat_MPIDense      *a = (Mat_MPIDense *)A->data;
532   const PetscScalar *ax;
533   PetscScalar       *ay;
534   PetscMemType       axmtype, aymtype;
535 
536   PetscFunctionBegin;
537   if (!a->Mvctx) PetscCall(MatSetUpMultiply_MPIDense(A));
538   PetscCall(VecSet(yy, 0.0));
539   PetscUseMethod(a->A, "MatMultHermitianTransposeColumnRange_C", (Mat, Vec, Vec, PetscInt, PetscInt), (a->A, xx, a->lvec, c_start, c_end));
540   PetscCall(VecGetArrayReadAndMemType(a->lvec, &ax, &axmtype));
541   PetscCall(VecGetArrayAndMemType(yy, &ay, &aymtype));
542   PetscCall(PetscSFReduceWithMemTypeBegin(a->Mvctx, MPIU_SCALAR, axmtype, ax, aymtype, ay, MPIU_SUM));
543   PetscCall(PetscSFReduceEnd(a->Mvctx, MPIU_SCALAR, ax, ay, MPIU_SUM));
544   PetscCall(VecRestoreArrayReadAndMemType(a->lvec, &ax));
545   PetscCall(VecRestoreArrayAndMemType(yy, &ay));
546   PetscFunctionReturn(PETSC_SUCCESS);
547 }
548 
549 static PetscErrorCode MatMultTransposeKernel_MPIDense(Mat A, Vec xx, Vec yy, PetscBool herm)
550 {
551   Mat_MPIDense      *a = (Mat_MPIDense *)A->data;
552   const PetscScalar *ax;
553   PetscScalar       *ay;
554   PetscMemType       axmtype, aymtype;
555 
556   PetscFunctionBegin;
557   if (!a->Mvctx) PetscCall(MatSetUpMultiply_MPIDense(A));
558   PetscCall(VecSet(yy, 0.0));
559   if (herm) PetscCall((*a->A->ops->multhermitiantranspose)(a->A, xx, a->lvec));
560   else PetscCall((*a->A->ops->multtranspose)(a->A, xx, a->lvec));
561   PetscCall(VecGetArrayReadAndMemType(a->lvec, &ax, &axmtype));
562   PetscCall(VecGetArrayAndMemType(yy, &ay, &aymtype));
563   PetscCall(PetscSFReduceWithMemTypeBegin(a->Mvctx, MPIU_SCALAR, axmtype, ax, aymtype, ay, MPIU_SUM));
564   PetscCall(PetscSFReduceEnd(a->Mvctx, MPIU_SCALAR, ax, ay, MPIU_SUM));
565   PetscCall(VecRestoreArrayReadAndMemType(a->lvec, &ax));
566   PetscCall(VecRestoreArrayAndMemType(yy, &ay));
567   PetscFunctionReturn(PETSC_SUCCESS);
568 }
569 
570 static PetscErrorCode MatMultHermitianTransposeAddColumnRange_MPIDense(Mat A, Vec xx, Vec yy, Vec zz, PetscInt c_start, PetscInt c_end)
571 {
572   Mat_MPIDense      *a = (Mat_MPIDense *)A->data;
573   const PetscScalar *ax;
574   PetscScalar       *ay;
575   PetscMemType       axmtype, aymtype;
576 
577   PetscFunctionBegin;
578   if (!a->Mvctx) PetscCall(MatSetUpMultiply_MPIDense(A));
579   PetscCall(VecCopy(yy, zz));
580   PetscMPIInt rank;
581   PetscCallMPI(MPI_Comm_rank(MPI_COMM_WORLD, &rank));
582   PetscUseMethod(a->A, "MatMultHermitianTransposeColumnRange_C", (Mat, Vec, Vec, PetscInt, PetscInt), (a->A, xx, a->lvec, c_start, c_end));
583   PetscCall(VecGetArrayReadAndMemType(a->lvec, &ax, &axmtype));
584   PetscCall(VecGetArrayAndMemType(zz, &ay, &aymtype));
585   PetscCall(PetscSFReduceWithMemTypeBegin(a->Mvctx, MPIU_SCALAR, axmtype, ax, aymtype, ay, MPIU_SUM));
586   PetscCall(PetscSFReduceEnd(a->Mvctx, MPIU_SCALAR, ax, ay, MPIU_SUM));
587   PetscCall(VecRestoreArrayReadAndMemType(a->lvec, &ax));
588   PetscCall(VecRestoreArrayAndMemType(zz, &ay));
589   PetscFunctionReturn(PETSC_SUCCESS);
590 }
591 
592 static PetscErrorCode MatMultTransposeAddKernel_MPIDense(Mat A, Vec xx, Vec yy, Vec zz, PetscBool herm)
593 {
594   Mat_MPIDense      *a = (Mat_MPIDense *)A->data;
595   const PetscScalar *ax;
596   PetscScalar       *ay;
597   PetscMemType       axmtype, aymtype;
598 
599   PetscFunctionBegin;
600   if (!a->Mvctx) PetscCall(MatSetUpMultiply_MPIDense(A));
601   PetscCall(VecCopy(yy, zz));
602   if (herm) PetscCall((*a->A->ops->multhermitiantranspose)(a->A, xx, a->lvec));
603   else PetscCall((*a->A->ops->multtranspose)(a->A, xx, a->lvec));
604   PetscCall(VecGetArrayReadAndMemType(a->lvec, &ax, &axmtype));
605   PetscCall(VecGetArrayAndMemType(zz, &ay, &aymtype));
606   PetscCall(PetscSFReduceWithMemTypeBegin(a->Mvctx, MPIU_SCALAR, axmtype, ax, aymtype, ay, MPIU_SUM));
607   PetscCall(PetscSFReduceEnd(a->Mvctx, MPIU_SCALAR, ax, ay, MPIU_SUM));
608   PetscCall(VecRestoreArrayReadAndMemType(a->lvec, &ax));
609   PetscCall(VecRestoreArrayAndMemType(zz, &ay));
610   PetscFunctionReturn(PETSC_SUCCESS);
611 }
612 
613 static PetscErrorCode MatMultTranspose_MPIDense(Mat A, Vec xx, Vec yy)
614 {
615   PetscFunctionBegin;
616   PetscCall(MatMultTransposeKernel_MPIDense(A, xx, yy, PETSC_FALSE));
617   PetscFunctionReturn(PETSC_SUCCESS);
618 }
619 
620 static PetscErrorCode MatMultTransposeAdd_MPIDense(Mat A, Vec xx, Vec yy, Vec zz)
621 {
622   PetscFunctionBegin;
623   PetscCall(MatMultTransposeAddKernel_MPIDense(A, xx, yy, zz, PETSC_FALSE));
624   PetscFunctionReturn(PETSC_SUCCESS);
625 }
626 
627 static PetscErrorCode MatMultHermitianTranspose_MPIDense(Mat A, Vec xx, Vec yy)
628 {
629   PetscFunctionBegin;
630   PetscCall(MatMultTransposeKernel_MPIDense(A, xx, yy, PETSC_TRUE));
631   PetscFunctionReturn(PETSC_SUCCESS);
632 }
633 
634 static PetscErrorCode MatMultHermitianTransposeAdd_MPIDense(Mat A, Vec xx, Vec yy, Vec zz)
635 {
636   PetscFunctionBegin;
637   PetscCall(MatMultTransposeAddKernel_MPIDense(A, xx, yy, zz, PETSC_TRUE));
638   PetscFunctionReturn(PETSC_SUCCESS);
639 }
640 
641 PetscErrorCode MatGetDiagonal_MPIDense(Mat A, Vec v)
642 {
643   Mat_MPIDense      *a = (Mat_MPIDense *)A->data;
644   PetscInt           lda, len, i, nl, ng, m = A->rmap->n, radd;
645   PetscScalar       *x;
646   const PetscScalar *av;
647 
648   PetscFunctionBegin;
649   PetscCall(VecGetArray(v, &x));
650   PetscCall(VecGetSize(v, &ng));
651   PetscCheck(ng == A->rmap->N, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Nonconforming mat and vec");
652   PetscCall(VecGetLocalSize(v, &nl));
653   len  = PetscMin(a->A->rmap->n, a->A->cmap->n);
654   radd = A->rmap->rstart * m;
655   PetscCall(MatDenseGetArrayRead(a->A, &av));
656   PetscCall(MatDenseGetLDA(a->A, &lda));
657   for (i = 0; i < len; i++) x[i] = av[radd + i * lda + i];
658   PetscCall(MatDenseRestoreArrayRead(a->A, &av));
659   if (nl - i > 0) PetscCall(PetscArrayzero(x + i, nl - i));
660   PetscCall(VecRestoreArray(v, &x));
661   PetscFunctionReturn(PETSC_SUCCESS);
662 }
663 
664 static PetscErrorCode MatDestroy_MPIDense(Mat mat)
665 {
666   Mat_MPIDense *mdn = (Mat_MPIDense *)mat->data;
667 
668   PetscFunctionBegin;
669   PetscCall(PetscLogObjectState((PetscObject)mat, "Rows=%" PetscInt_FMT ", Cols=%" PetscInt_FMT, mat->rmap->N, mat->cmap->N));
670   PetscCall(MatStashDestroy_Private(&mat->stash));
671   PetscCheck(!mdn->vecinuse, PetscObjectComm((PetscObject)mat), PETSC_ERR_ORDER, "Need to call MatDenseRestoreColumnVec() first");
672   PetscCheck(!mdn->matinuse, PetscObjectComm((PetscObject)mat), PETSC_ERR_ORDER, "Need to call MatDenseRestoreSubMatrix() first");
673   PetscCall(MatDestroy(&mdn->A));
674   PetscCall(VecDestroy(&mdn->lvec));
675   PetscCall(PetscSFDestroy(&mdn->Mvctx));
676   PetscCall(VecDestroy(&mdn->cvec));
677   PetscCall(MatDestroy(&mdn->cmat));
678 
679   PetscCall(PetscFree(mat->data));
680   PetscCall(PetscObjectChangeTypeName((PetscObject)mat, NULL));
681 
682   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetLDA_C", NULL));
683   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseSetLDA_C", NULL));
684   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetArray_C", NULL));
685   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreArray_C", NULL));
686   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetArrayRead_C", NULL));
687   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreArrayRead_C", NULL));
688   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetArrayWrite_C", NULL));
689   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreArrayWrite_C", NULL));
690   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDensePlaceArray_C", NULL));
691   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseResetArray_C", NULL));
692   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseReplaceArray_C", NULL));
693   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatConvert_mpiaij_mpidense_C", NULL));
694   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatConvert_mpidense_mpiaij_C", NULL));
695 #if defined(PETSC_HAVE_ELEMENTAL)
696   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatConvert_mpidense_elemental_C", NULL));
697 #endif
698 #if defined(PETSC_HAVE_SCALAPACK)
699   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatConvert_mpidense_scalapack_C", NULL));
700 #endif
701   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatMPIDenseSetPreallocation_C", NULL));
702   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpiaij_mpidense_C", NULL));
703   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpidense_mpiaij_C", NULL));
704 #if defined(PETSC_HAVE_CUDA)
705   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpiaijcusparse_mpidense_C", NULL));
706   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpidense_mpiaijcusparse_C", NULL));
707   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatConvert_mpidense_mpidensecuda_C", NULL));
708   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatConvert_mpidensecuda_mpidense_C", NULL));
709   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpiaij_mpidensecuda_C", NULL));
710   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpiaijcusparse_mpidensecuda_C", NULL));
711   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpidensecuda_mpiaij_C", NULL));
712   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpidensecuda_mpiaijcusparse_C", NULL));
713   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseCUDAGetArray_C", NULL));
714   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseCUDAGetArrayRead_C", NULL));
715   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseCUDAGetArrayWrite_C", NULL));
716   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseCUDARestoreArray_C", NULL));
717   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseCUDARestoreArrayRead_C", NULL));
718   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseCUDARestoreArrayWrite_C", NULL));
719   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseCUDAPlaceArray_C", NULL));
720   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseCUDAResetArray_C", NULL));
721   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseCUDAReplaceArray_C", NULL));
722   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseCUDASetPreallocation_C", NULL));
723 #endif
724 #if defined(PETSC_HAVE_HIP)
725   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpiaijhipsparse_mpidense_C", NULL));
726   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpidense_mpiaijhipsparse_C", NULL));
727   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatConvert_mpidense_mpidensehip_C", NULL));
728   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatConvert_mpidensehip_mpidense_C", NULL));
729   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpiaij_mpidensehip_C", NULL));
730   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpiaijhipsparse_mpidensehip_C", NULL));
731   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpidensehip_mpiaij_C", NULL));
732   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpidensehip_mpiaijhipsparse_C", NULL));
733   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseHIPGetArray_C", NULL));
734   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseHIPGetArrayRead_C", NULL));
735   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseHIPGetArrayWrite_C", NULL));
736   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseHIPRestoreArray_C", NULL));
737   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseHIPRestoreArrayRead_C", NULL));
738   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseHIPRestoreArrayWrite_C", NULL));
739   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseHIPPlaceArray_C", NULL));
740   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseHIPResetArray_C", NULL));
741   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseHIPReplaceArray_C", NULL));
742   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseHIPSetPreallocation_C", NULL));
743 #endif
744   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetColumn_C", NULL));
745   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreColumn_C", NULL));
746   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetColumnVec_C", NULL));
747   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreColumnVec_C", NULL));
748   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetColumnVecRead_C", NULL));
749   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreColumnVecRead_C", NULL));
750   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetColumnVecWrite_C", NULL));
751   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreColumnVecWrite_C", NULL));
752   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetSubMatrix_C", NULL));
753   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreSubMatrix_C", NULL));
754   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatMultAddColumnRange_C", NULL));
755   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatMultHermitianTransposeColumnRange_C", NULL));
756   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatMultHermitianTransposeAddColumnRange_C", NULL));
757 
758   PetscCall(PetscObjectCompose((PetscObject)mat, "DiagonalBlock", NULL));
759   PetscFunctionReturn(PETSC_SUCCESS);
760 }
761 
762 #include <petscdraw.h>
763 static PetscErrorCode MatView_MPIDense_ASCIIorDraworSocket(Mat mat, PetscViewer viewer)
764 {
765   Mat_MPIDense     *mdn = (Mat_MPIDense *)mat->data;
766   PetscMPIInt       rank;
767   PetscViewerType   vtype;
768   PetscBool         iascii, isdraw;
769   PetscViewer       sviewer;
770   PetscViewerFormat format;
771 
772   PetscFunctionBegin;
773   PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)mat), &rank));
774   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &iascii));
775   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERDRAW, &isdraw));
776   if (iascii) {
777     PetscCall(PetscViewerGetType(viewer, &vtype));
778     PetscCall(PetscViewerGetFormat(viewer, &format));
779     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
780       MatInfo info;
781       PetscCall(MatGetInfo(mat, MAT_LOCAL, &info));
782       PetscCall(PetscViewerASCIIPushSynchronized(viewer));
783       PetscCall(PetscViewerASCIISynchronizedPrintf(viewer, "  [%d] local rows %" PetscInt_FMT " nz %" PetscInt_FMT " nz alloced %" PetscInt_FMT " mem %" PetscInt_FMT " \n", rank, mat->rmap->n, (PetscInt)info.nz_used, (PetscInt)info.nz_allocated,
784                                                    (PetscInt)info.memory));
785       PetscCall(PetscViewerFlush(viewer));
786       PetscCall(PetscViewerASCIIPopSynchronized(viewer));
787       if (mdn->Mvctx) PetscCall(PetscSFView(mdn->Mvctx, viewer));
788       PetscFunctionReturn(PETSC_SUCCESS);
789     } else if (format == PETSC_VIEWER_ASCII_INFO) {
790       PetscFunctionReturn(PETSC_SUCCESS);
791     }
792   } else if (isdraw) {
793     PetscDraw draw;
794     PetscBool isnull;
795 
796     PetscCall(PetscViewerDrawGetDraw(viewer, 0, &draw));
797     PetscCall(PetscDrawIsNull(draw, &isnull));
798     if (isnull) PetscFunctionReturn(PETSC_SUCCESS);
799   }
800 
801   {
802     /* assemble the entire matrix onto first processor. */
803     Mat          A;
804     PetscInt     M = mat->rmap->N, N = mat->cmap->N, m, row, i, nz;
805     PetscInt    *cols;
806     PetscScalar *vals;
807 
808     PetscCall(MatCreate(PetscObjectComm((PetscObject)mat), &A));
809     if (rank == 0) {
810       PetscCall(MatSetSizes(A, M, N, M, N));
811     } else {
812       PetscCall(MatSetSizes(A, 0, 0, M, N));
813     }
814     /* Since this is a temporary matrix, MATMPIDENSE instead of ((PetscObject)A)->type_name here is probably acceptable. */
815     PetscCall(MatSetType(A, MATMPIDENSE));
816     PetscCall(MatMPIDenseSetPreallocation(A, NULL));
817 
818     /* Copy the matrix ... This isn't the most efficient means,
819        but it's quick for now */
820     A->insertmode = INSERT_VALUES;
821 
822     row = mat->rmap->rstart;
823     m   = mdn->A->rmap->n;
824     for (i = 0; i < m; i++) {
825       PetscCall(MatGetRow_MPIDense(mat, row, &nz, &cols, &vals));
826       PetscCall(MatSetValues_MPIDense(A, 1, &row, nz, cols, vals, INSERT_VALUES));
827       PetscCall(MatRestoreRow_MPIDense(mat, row, &nz, &cols, &vals));
828       row++;
829     }
830 
831     PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
832     PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
833     PetscCall(PetscViewerGetSubViewer(viewer, PETSC_COMM_SELF, &sviewer));
834     if (rank == 0) {
835       PetscCall(PetscObjectSetName((PetscObject)((Mat_MPIDense *)A->data)->A, ((PetscObject)mat)->name));
836       PetscCall(MatView_SeqDense(((Mat_MPIDense *)A->data)->A, sviewer));
837     }
838     PetscCall(PetscViewerRestoreSubViewer(viewer, PETSC_COMM_SELF, &sviewer));
839     PetscCall(MatDestroy(&A));
840   }
841   PetscFunctionReturn(PETSC_SUCCESS);
842 }
843 
844 static PetscErrorCode MatView_MPIDense(Mat mat, PetscViewer viewer)
845 {
846   PetscBool iascii, isbinary, isdraw, issocket;
847 
848   PetscFunctionBegin;
849   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &iascii));
850   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
851   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERSOCKET, &issocket));
852   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERDRAW, &isdraw));
853 
854   if (iascii || issocket || isdraw) {
855     PetscCall(MatView_MPIDense_ASCIIorDraworSocket(mat, viewer));
856   } else if (isbinary) PetscCall(MatView_Dense_Binary(mat, viewer));
857   PetscFunctionReturn(PETSC_SUCCESS);
858 }
859 
860 static PetscErrorCode MatGetInfo_MPIDense(Mat A, MatInfoType flag, MatInfo *info)
861 {
862   Mat_MPIDense  *mat = (Mat_MPIDense *)A->data;
863   Mat            mdn = mat->A;
864   PetscLogDouble isend[5], irecv[5];
865 
866   PetscFunctionBegin;
867   info->block_size = 1.0;
868 
869   PetscCall(MatGetInfo(mdn, MAT_LOCAL, info));
870 
871   isend[0] = info->nz_used;
872   isend[1] = info->nz_allocated;
873   isend[2] = info->nz_unneeded;
874   isend[3] = info->memory;
875   isend[4] = info->mallocs;
876   if (flag == MAT_LOCAL) {
877     info->nz_used      = isend[0];
878     info->nz_allocated = isend[1];
879     info->nz_unneeded  = isend[2];
880     info->memory       = isend[3];
881     info->mallocs      = isend[4];
882   } else if (flag == MAT_GLOBAL_MAX) {
883     PetscCallMPI(MPIU_Allreduce(isend, irecv, 5, MPIU_PETSCLOGDOUBLE, MPI_MAX, PetscObjectComm((PetscObject)A)));
884 
885     info->nz_used      = irecv[0];
886     info->nz_allocated = irecv[1];
887     info->nz_unneeded  = irecv[2];
888     info->memory       = irecv[3];
889     info->mallocs      = irecv[4];
890   } else if (flag == MAT_GLOBAL_SUM) {
891     PetscCallMPI(MPIU_Allreduce(isend, irecv, 5, MPIU_PETSCLOGDOUBLE, MPI_SUM, PetscObjectComm((PetscObject)A)));
892 
893     info->nz_used      = irecv[0];
894     info->nz_allocated = irecv[1];
895     info->nz_unneeded  = irecv[2];
896     info->memory       = irecv[3];
897     info->mallocs      = irecv[4];
898   }
899   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
900   info->fill_ratio_needed = 0;
901   info->factor_mallocs    = 0;
902   PetscFunctionReturn(PETSC_SUCCESS);
903 }
904 
905 static PetscErrorCode MatSetOption_MPIDense(Mat A, MatOption op, PetscBool flg)
906 {
907   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
908 
909   PetscFunctionBegin;
910   switch (op) {
911   case MAT_NEW_NONZERO_LOCATIONS:
912   case MAT_NEW_NONZERO_LOCATION_ERR:
913   case MAT_NEW_NONZERO_ALLOCATION_ERR:
914     MatCheckPreallocated(A, 1);
915     PetscCall(MatSetOption(a->A, op, flg));
916     break;
917   case MAT_ROW_ORIENTED:
918     MatCheckPreallocated(A, 1);
919     a->roworiented = flg;
920     PetscCall(MatSetOption(a->A, op, flg));
921     break;
922   case MAT_FORCE_DIAGONAL_ENTRIES:
923   case MAT_KEEP_NONZERO_PATTERN:
924   case MAT_USE_HASH_TABLE:
925   case MAT_SORTED_FULL:
926     PetscCall(PetscInfo(A, "Option %s ignored\n", MatOptions[op]));
927     break;
928   case MAT_IGNORE_OFF_PROC_ENTRIES:
929     a->donotstash = flg;
930     break;
931   case MAT_SYMMETRIC:
932   case MAT_STRUCTURALLY_SYMMETRIC:
933   case MAT_HERMITIAN:
934   case MAT_SYMMETRY_ETERNAL:
935   case MAT_STRUCTURAL_SYMMETRY_ETERNAL:
936   case MAT_SPD:
937   case MAT_IGNORE_LOWER_TRIANGULAR:
938   case MAT_IGNORE_ZERO_ENTRIES:
939   case MAT_SPD_ETERNAL:
940     /* if the diagonal matrix is square it inherits some of the properties above */
941     PetscCall(PetscInfo(A, "Option %s ignored\n", MatOptions[op]));
942     break;
943   default:
944     SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "unknown option %s", MatOptions[op]);
945   }
946   PetscFunctionReturn(PETSC_SUCCESS);
947 }
948 
949 static PetscErrorCode MatDiagonalScale_MPIDense(Mat A, Vec ll, Vec rr)
950 {
951   Mat_MPIDense      *mdn = (Mat_MPIDense *)A->data;
952   const PetscScalar *l;
953   PetscScalar        x, *v, *vv, *r;
954   PetscInt           i, j, s2a, s3a, s2, s3, m = mdn->A->rmap->n, n = mdn->A->cmap->n, lda;
955 
956   PetscFunctionBegin;
957   PetscCall(MatDenseGetArray(mdn->A, &vv));
958   PetscCall(MatDenseGetLDA(mdn->A, &lda));
959   PetscCall(MatGetLocalSize(A, &s2, &s3));
960   if (ll) {
961     PetscCall(VecGetLocalSize(ll, &s2a));
962     PetscCheck(s2a == s2, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Left scaling vector non-conforming local size, %" PetscInt_FMT " != %" PetscInt_FMT, s2a, s2);
963     PetscCall(VecGetArrayRead(ll, &l));
964     for (i = 0; i < m; i++) {
965       x = l[i];
966       v = vv + i;
967       for (j = 0; j < n; j++) {
968         (*v) *= x;
969         v += lda;
970       }
971     }
972     PetscCall(VecRestoreArrayRead(ll, &l));
973     PetscCall(PetscLogFlops(1.0 * n * m));
974   }
975   if (rr) {
976     const PetscScalar *ar;
977 
978     PetscCall(VecGetLocalSize(rr, &s3a));
979     PetscCheck(s3a == s3, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Right scaling vec non-conforming local size, %" PetscInt_FMT " != %" PetscInt_FMT ".", s3a, s3);
980     PetscCall(VecGetArrayRead(rr, &ar));
981     if (!mdn->Mvctx) PetscCall(MatSetUpMultiply_MPIDense(A));
982     PetscCall(VecGetArray(mdn->lvec, &r));
983     PetscCall(PetscSFBcastBegin(mdn->Mvctx, MPIU_SCALAR, ar, r, MPI_REPLACE));
984     PetscCall(PetscSFBcastEnd(mdn->Mvctx, MPIU_SCALAR, ar, r, MPI_REPLACE));
985     PetscCall(VecRestoreArrayRead(rr, &ar));
986     for (i = 0; i < n; i++) {
987       x = r[i];
988       v = vv + i * lda;
989       for (j = 0; j < m; j++) (*v++) *= x;
990     }
991     PetscCall(VecRestoreArray(mdn->lvec, &r));
992     PetscCall(PetscLogFlops(1.0 * n * m));
993   }
994   PetscCall(MatDenseRestoreArray(mdn->A, &vv));
995   PetscFunctionReturn(PETSC_SUCCESS);
996 }
997 
998 static PetscErrorCode MatNorm_MPIDense(Mat A, NormType type, PetscReal *nrm)
999 {
1000   Mat_MPIDense      *mdn = (Mat_MPIDense *)A->data;
1001   PetscInt           i, j;
1002   PetscMPIInt        size, iN;
1003   PetscReal          sum = 0.0;
1004   const PetscScalar *av, *v;
1005 
1006   PetscFunctionBegin;
1007   PetscCall(MatDenseGetArrayRead(mdn->A, &av));
1008   v = av;
1009   PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)A), &size));
1010   if (size == 1) {
1011     PetscCall(MatNorm(mdn->A, type, nrm));
1012   } else {
1013     if (type == NORM_FROBENIUS) {
1014       for (i = 0; i < mdn->A->cmap->n * mdn->A->rmap->n; i++) {
1015         sum += PetscRealPart(PetscConj(*v) * (*v));
1016         v++;
1017       }
1018       PetscCallMPI(MPIU_Allreduce(&sum, nrm, 1, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)A)));
1019       *nrm = PetscSqrtReal(*nrm);
1020       PetscCall(PetscLogFlops(2.0 * mdn->A->cmap->n * mdn->A->rmap->n));
1021     } else if (type == NORM_1) {
1022       PetscReal *tmp, *tmp2;
1023       PetscCall(PetscCalloc2(A->cmap->N, &tmp, A->cmap->N, &tmp2));
1024       *nrm = 0.0;
1025       v    = av;
1026       for (j = 0; j < mdn->A->cmap->n; j++) {
1027         for (i = 0; i < mdn->A->rmap->n; i++) {
1028           tmp[j] += PetscAbsScalar(*v);
1029           v++;
1030         }
1031       }
1032       PetscCall(PetscMPIIntCast(A->cmap->N, &iN));
1033       PetscCallMPI(MPIU_Allreduce(tmp, tmp2, iN, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)A)));
1034       for (j = 0; j < A->cmap->N; j++) {
1035         if (tmp2[j] > *nrm) *nrm = tmp2[j];
1036       }
1037       PetscCall(PetscFree2(tmp, tmp2));
1038       PetscCall(PetscLogFlops(A->cmap->n * A->rmap->n));
1039     } else if (type == NORM_INFINITY) { /* max row norm */
1040       PetscReal ntemp;
1041       PetscCall(MatNorm(mdn->A, type, &ntemp));
1042       PetscCallMPI(MPIU_Allreduce(&ntemp, nrm, 1, MPIU_REAL, MPIU_MAX, PetscObjectComm((PetscObject)A)));
1043     } else SETERRQ(PetscObjectComm((PetscObject)A), PETSC_ERR_SUP, "No support for two norm");
1044   }
1045   PetscCall(MatDenseRestoreArrayRead(mdn->A, &av));
1046   PetscFunctionReturn(PETSC_SUCCESS);
1047 }
1048 
1049 static PetscErrorCode MatTranspose_MPIDense(Mat A, MatReuse reuse, Mat *matout)
1050 {
1051   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
1052   Mat           B;
1053   PetscInt      M = A->rmap->N, N = A->cmap->N, m, n, *rwork, rstart = A->rmap->rstart;
1054   PetscInt      j, i, lda;
1055   PetscScalar  *v;
1056 
1057   PetscFunctionBegin;
1058   if (reuse == MAT_REUSE_MATRIX) PetscCall(MatTransposeCheckNonzeroState_Private(A, *matout));
1059   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_INPLACE_MATRIX) {
1060     PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &B));
1061     PetscCall(MatSetSizes(B, A->cmap->n, A->rmap->n, N, M));
1062     PetscCall(MatSetType(B, ((PetscObject)A)->type_name));
1063     PetscCall(MatMPIDenseSetPreallocation(B, NULL));
1064   } else B = *matout;
1065 
1066   m = a->A->rmap->n;
1067   n = a->A->cmap->n;
1068   PetscCall(MatDenseGetArrayRead(a->A, (const PetscScalar **)&v));
1069   PetscCall(MatDenseGetLDA(a->A, &lda));
1070   PetscCall(PetscMalloc1(m, &rwork));
1071   for (i = 0; i < m; i++) rwork[i] = rstart + i;
1072   for (j = 0; j < n; j++) {
1073     PetscCall(MatSetValues(B, 1, &j, m, rwork, v, INSERT_VALUES));
1074     v = PetscSafePointerPlusOffset(v, lda);
1075   }
1076   PetscCall(MatDenseRestoreArrayRead(a->A, (const PetscScalar **)&v));
1077   PetscCall(PetscFree(rwork));
1078   PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY));
1079   PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY));
1080   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_REUSE_MATRIX) {
1081     *matout = B;
1082   } else {
1083     PetscCall(MatHeaderMerge(A, &B));
1084   }
1085   PetscFunctionReturn(PETSC_SUCCESS);
1086 }
1087 
1088 static PetscErrorCode       MatDuplicate_MPIDense(Mat, MatDuplicateOption, Mat *);
1089 PETSC_INTERN PetscErrorCode MatScale_MPIDense(Mat, PetscScalar);
1090 
1091 static PetscErrorCode MatSetUp_MPIDense(Mat A)
1092 {
1093   PetscFunctionBegin;
1094   PetscCall(PetscLayoutSetUp(A->rmap));
1095   PetscCall(PetscLayoutSetUp(A->cmap));
1096   if (!A->preallocated) PetscCall(MatMPIDenseSetPreallocation(A, NULL));
1097   PetscFunctionReturn(PETSC_SUCCESS);
1098 }
1099 
1100 static PetscErrorCode MatAXPY_MPIDense(Mat Y, PetscScalar alpha, Mat X, MatStructure str)
1101 {
1102   Mat_MPIDense *A = (Mat_MPIDense *)Y->data, *B = (Mat_MPIDense *)X->data;
1103 
1104   PetscFunctionBegin;
1105   PetscCall(MatAXPY(A->A, alpha, B->A, str));
1106   PetscFunctionReturn(PETSC_SUCCESS);
1107 }
1108 
1109 static PetscErrorCode MatConjugate_MPIDense(Mat mat)
1110 {
1111   Mat_MPIDense *a = (Mat_MPIDense *)mat->data;
1112 
1113   PetscFunctionBegin;
1114   PetscCall(MatConjugate(a->A));
1115   PetscFunctionReturn(PETSC_SUCCESS);
1116 }
1117 
1118 static PetscErrorCode MatRealPart_MPIDense(Mat A)
1119 {
1120   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
1121 
1122   PetscFunctionBegin;
1123   PetscCall(MatRealPart(a->A));
1124   PetscFunctionReturn(PETSC_SUCCESS);
1125 }
1126 
1127 static PetscErrorCode MatImaginaryPart_MPIDense(Mat A)
1128 {
1129   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
1130 
1131   PetscFunctionBegin;
1132   PetscCall(MatImaginaryPart(a->A));
1133   PetscFunctionReturn(PETSC_SUCCESS);
1134 }
1135 
1136 static PetscErrorCode MatGetColumnVector_MPIDense(Mat A, Vec v, PetscInt col)
1137 {
1138   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
1139 
1140   PetscFunctionBegin;
1141   PetscCheck(a->A, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Missing local matrix");
1142   PetscCheck(a->A->ops->getcolumnvector, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Missing get column operation");
1143   PetscCall((*a->A->ops->getcolumnvector)(a->A, v, col));
1144   PetscFunctionReturn(PETSC_SUCCESS);
1145 }
1146 
1147 PETSC_INTERN PetscErrorCode MatGetColumnReductions_SeqDense(Mat, PetscInt, PetscReal *);
1148 
1149 static PetscErrorCode MatGetColumnReductions_MPIDense(Mat A, PetscInt type, PetscReal *reductions)
1150 {
1151   PetscInt      i, m, n;
1152   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
1153   PetscReal    *work;
1154   PetscMPIInt   in;
1155 
1156   PetscFunctionBegin;
1157   PetscCall(MatGetSize(A, &m, &n));
1158   PetscCall(PetscMalloc1(n, &work));
1159   if (type == REDUCTION_MEAN_REALPART) {
1160     PetscCall(MatGetColumnReductions_SeqDense(a->A, (PetscInt)REDUCTION_SUM_REALPART, work));
1161   } else if (type == REDUCTION_MEAN_IMAGINARYPART) {
1162     PetscCall(MatGetColumnReductions_SeqDense(a->A, (PetscInt)REDUCTION_SUM_IMAGINARYPART, work));
1163   } else {
1164     PetscCall(MatGetColumnReductions_SeqDense(a->A, type, work));
1165   }
1166   if (type == NORM_2) {
1167     for (i = 0; i < n; i++) work[i] *= work[i];
1168   }
1169   PetscCall(PetscMPIIntCast(n, &in));
1170   if (type == NORM_INFINITY) {
1171     PetscCallMPI(MPIU_Allreduce(work, reductions, in, MPIU_REAL, MPIU_MAX, A->hdr.comm));
1172   } else {
1173     PetscCallMPI(MPIU_Allreduce(work, reductions, in, MPIU_REAL, MPIU_SUM, A->hdr.comm));
1174   }
1175   PetscCall(PetscFree(work));
1176   if (type == NORM_2) {
1177     for (i = 0; i < n; i++) reductions[i] = PetscSqrtReal(reductions[i]);
1178   } else if (type == REDUCTION_MEAN_REALPART || type == REDUCTION_MEAN_IMAGINARYPART) {
1179     for (i = 0; i < n; i++) reductions[i] /= m;
1180   }
1181   PetscFunctionReturn(PETSC_SUCCESS);
1182 }
1183 
1184 static PetscErrorCode MatSetRandom_MPIDense(Mat x, PetscRandom rctx)
1185 {
1186   Mat_MPIDense *d = (Mat_MPIDense *)x->data;
1187 
1188   PetscFunctionBegin;
1189   PetscCall(MatSetRandom(d->A, rctx));
1190 #if defined(PETSC_HAVE_DEVICE)
1191   x->offloadmask = d->A->offloadmask;
1192 #endif
1193   PetscFunctionReturn(PETSC_SUCCESS);
1194 }
1195 
1196 static PetscErrorCode MatMissingDiagonal_MPIDense(Mat A, PetscBool *missing, PetscInt *d)
1197 {
1198   PetscFunctionBegin;
1199   *missing = PETSC_FALSE;
1200   PetscFunctionReturn(PETSC_SUCCESS);
1201 }
1202 
1203 static PetscErrorCode MatMatTransposeMultSymbolic_MPIDense_MPIDense(Mat, Mat, PetscReal, Mat);
1204 static PetscErrorCode MatMatTransposeMultNumeric_MPIDense_MPIDense(Mat, Mat, Mat);
1205 static PetscErrorCode MatTransposeMatMultSymbolic_MPIDense_MPIDense(Mat, Mat, PetscReal, Mat);
1206 static PetscErrorCode MatTransposeMatMultNumeric_MPIDense_MPIDense(Mat, Mat, Mat);
1207 static PetscErrorCode MatEqual_MPIDense(Mat, Mat, PetscBool *);
1208 static PetscErrorCode MatLoad_MPIDense(Mat, PetscViewer);
1209 static PetscErrorCode MatProductSetFromOptions_MPIDense(Mat);
1210 
1211 static struct _MatOps MatOps_Values = {MatSetValues_MPIDense,
1212                                        MatGetRow_MPIDense,
1213                                        MatRestoreRow_MPIDense,
1214                                        MatMult_MPIDense,
1215                                        /*  4*/ MatMultAdd_MPIDense,
1216                                        MatMultTranspose_MPIDense,
1217                                        MatMultTransposeAdd_MPIDense,
1218                                        NULL,
1219                                        NULL,
1220                                        NULL,
1221                                        /* 10*/ NULL,
1222                                        NULL,
1223                                        NULL,
1224                                        NULL,
1225                                        MatTranspose_MPIDense,
1226                                        /* 15*/ MatGetInfo_MPIDense,
1227                                        MatEqual_MPIDense,
1228                                        MatGetDiagonal_MPIDense,
1229                                        MatDiagonalScale_MPIDense,
1230                                        MatNorm_MPIDense,
1231                                        /* 20*/ MatAssemblyBegin_MPIDense,
1232                                        MatAssemblyEnd_MPIDense,
1233                                        MatSetOption_MPIDense,
1234                                        MatZeroEntries_MPIDense,
1235                                        /* 24*/ MatZeroRows_MPIDense,
1236                                        NULL,
1237                                        NULL,
1238                                        NULL,
1239                                        NULL,
1240                                        /* 29*/ MatSetUp_MPIDense,
1241                                        NULL,
1242                                        NULL,
1243                                        MatGetDiagonalBlock_MPIDense,
1244                                        NULL,
1245                                        /* 34*/ MatDuplicate_MPIDense,
1246                                        NULL,
1247                                        NULL,
1248                                        NULL,
1249                                        NULL,
1250                                        /* 39*/ MatAXPY_MPIDense,
1251                                        MatCreateSubMatrices_MPIDense,
1252                                        NULL,
1253                                        MatGetValues_MPIDense,
1254                                        MatCopy_MPIDense,
1255                                        /* 44*/ NULL,
1256                                        MatScale_MPIDense,
1257                                        MatShift_MPIDense,
1258                                        NULL,
1259                                        NULL,
1260                                        /* 49*/ MatSetRandom_MPIDense,
1261                                        NULL,
1262                                        NULL,
1263                                        NULL,
1264                                        NULL,
1265                                        /* 54*/ NULL,
1266                                        NULL,
1267                                        NULL,
1268                                        NULL,
1269                                        NULL,
1270                                        /* 59*/ MatCreateSubMatrix_MPIDense,
1271                                        MatDestroy_MPIDense,
1272                                        MatView_MPIDense,
1273                                        NULL,
1274                                        NULL,
1275                                        /* 64*/ NULL,
1276                                        NULL,
1277                                        NULL,
1278                                        NULL,
1279                                        NULL,
1280                                        /* 69*/ NULL,
1281                                        NULL,
1282                                        NULL,
1283                                        NULL,
1284                                        NULL,
1285                                        /* 74*/ NULL,
1286                                        NULL,
1287                                        NULL,
1288                                        NULL,
1289                                        NULL,
1290                                        /* 79*/ NULL,
1291                                        NULL,
1292                                        NULL,
1293                                        NULL,
1294                                        /* 83*/ MatLoad_MPIDense,
1295                                        NULL,
1296                                        NULL,
1297                                        NULL,
1298                                        NULL,
1299                                        NULL,
1300                                        /* 89*/ NULL,
1301                                        NULL,
1302                                        NULL,
1303                                        NULL,
1304                                        NULL,
1305                                        /* 94*/ NULL,
1306                                        NULL,
1307                                        MatMatTransposeMultSymbolic_MPIDense_MPIDense,
1308                                        MatMatTransposeMultNumeric_MPIDense_MPIDense,
1309                                        NULL,
1310                                        /* 99*/ MatProductSetFromOptions_MPIDense,
1311                                        NULL,
1312                                        NULL,
1313                                        MatConjugate_MPIDense,
1314                                        NULL,
1315                                        /*104*/ NULL,
1316                                        MatRealPart_MPIDense,
1317                                        MatImaginaryPart_MPIDense,
1318                                        NULL,
1319                                        NULL,
1320                                        /*109*/ NULL,
1321                                        NULL,
1322                                        NULL,
1323                                        MatGetColumnVector_MPIDense,
1324                                        MatMissingDiagonal_MPIDense,
1325                                        /*114*/ NULL,
1326                                        NULL,
1327                                        NULL,
1328                                        NULL,
1329                                        NULL,
1330                                        /*119*/ NULL,
1331                                        NULL,
1332                                        MatMultHermitianTranspose_MPIDense,
1333                                        MatMultHermitianTransposeAdd_MPIDense,
1334                                        NULL,
1335                                        /*124*/ NULL,
1336                                        MatGetColumnReductions_MPIDense,
1337                                        NULL,
1338                                        NULL,
1339                                        NULL,
1340                                        /*129*/ NULL,
1341                                        NULL,
1342                                        MatTransposeMatMultSymbolic_MPIDense_MPIDense,
1343                                        MatTransposeMatMultNumeric_MPIDense_MPIDense,
1344                                        NULL,
1345                                        /*134*/ NULL,
1346                                        NULL,
1347                                        NULL,
1348                                        NULL,
1349                                        NULL,
1350                                        /*139*/ NULL,
1351                                        NULL,
1352                                        NULL,
1353                                        NULL,
1354                                        NULL,
1355                                        MatCreateMPIMatConcatenateSeqMat_MPIDense,
1356                                        /*145*/ NULL,
1357                                        NULL,
1358                                        NULL,
1359                                        NULL,
1360                                        NULL,
1361                                        /*150*/ NULL,
1362                                        NULL,
1363                                        NULL,
1364                                        NULL,
1365                                        NULL,
1366                                        /*155*/ NULL,
1367                                        NULL};
1368 
1369 static PetscErrorCode MatMPIDenseSetPreallocation_MPIDense(Mat mat, PetscScalar *data)
1370 {
1371   Mat_MPIDense *a     = (Mat_MPIDense *)mat->data;
1372   MatType       mtype = MATSEQDENSE;
1373 
1374   PetscFunctionBegin;
1375   PetscCheck(!a->matinuse, PetscObjectComm((PetscObject)mat), PETSC_ERR_ORDER, "Need to call MatDenseRestoreSubMatrix() first");
1376   PetscCall(PetscLayoutSetUp(mat->rmap));
1377   PetscCall(PetscLayoutSetUp(mat->cmap));
1378   if (!a->A) {
1379     PetscCall(MatCreate(PETSC_COMM_SELF, &a->A));
1380     PetscCall(MatSetSizes(a->A, mat->rmap->n, mat->cmap->N, mat->rmap->n, mat->cmap->N));
1381   }
1382 #if defined(PETSC_HAVE_CUDA)
1383   PetscBool iscuda;
1384   PetscCall(PetscObjectTypeCompare((PetscObject)mat, MATMPIDENSECUDA, &iscuda));
1385   if (iscuda) mtype = MATSEQDENSECUDA;
1386 #endif
1387 #if defined(PETSC_HAVE_HIP)
1388   PetscBool iship;
1389   PetscCall(PetscObjectTypeCompare((PetscObject)mat, MATMPIDENSEHIP, &iship));
1390   if (iship) mtype = MATSEQDENSEHIP;
1391 #endif
1392   PetscCall(MatSetType(a->A, mtype));
1393   PetscCall(MatSeqDenseSetPreallocation(a->A, data));
1394 #if defined(PETSC_HAVE_CUDA) || defined(PETSC_HAVE_HIP)
1395   mat->offloadmask = a->A->offloadmask;
1396 #endif
1397   mat->preallocated = PETSC_TRUE;
1398   mat->assembled    = PETSC_TRUE;
1399   PetscFunctionReturn(PETSC_SUCCESS);
1400 }
1401 
1402 PETSC_INTERN PetscErrorCode MatConvert_MPIAIJ_MPIDense(Mat A, MatType newtype, MatReuse reuse, Mat *newmat)
1403 {
1404   Mat B, C;
1405 
1406   PetscFunctionBegin;
1407   PetscCall(MatMPIAIJGetLocalMat(A, MAT_INITIAL_MATRIX, &C));
1408   PetscCall(MatConvert_SeqAIJ_SeqDense(C, MATSEQDENSE, MAT_INITIAL_MATRIX, &B));
1409   PetscCall(MatDestroy(&C));
1410   if (reuse == MAT_REUSE_MATRIX) {
1411     C = *newmat;
1412   } else C = NULL;
1413   PetscCall(MatCreateMPIMatConcatenateSeqMat(PetscObjectComm((PetscObject)A), B, A->cmap->n, !C ? MAT_INITIAL_MATRIX : MAT_REUSE_MATRIX, &C));
1414   PetscCall(MatDestroy(&B));
1415   if (reuse == MAT_INPLACE_MATRIX) {
1416     PetscCall(MatHeaderReplace(A, &C));
1417   } else if (reuse == MAT_INITIAL_MATRIX) *newmat = C;
1418   PetscFunctionReturn(PETSC_SUCCESS);
1419 }
1420 
1421 static PetscErrorCode MatConvert_MPIDense_MPIAIJ(Mat A, MatType newtype, MatReuse reuse, Mat *newmat)
1422 {
1423   Mat B, C;
1424 
1425   PetscFunctionBegin;
1426   PetscCall(MatDenseGetLocalMatrix(A, &C));
1427   PetscCall(MatConvert_SeqDense_SeqAIJ(C, MATSEQAIJ, MAT_INITIAL_MATRIX, &B));
1428   if (reuse == MAT_REUSE_MATRIX) {
1429     C = *newmat;
1430   } else C = NULL;
1431   PetscCall(MatCreateMPIMatConcatenateSeqMat(PetscObjectComm((PetscObject)A), B, A->cmap->n, !C ? MAT_INITIAL_MATRIX : MAT_REUSE_MATRIX, &C));
1432   PetscCall(MatDestroy(&B));
1433   if (reuse == MAT_INPLACE_MATRIX) {
1434     PetscCall(MatHeaderReplace(A, &C));
1435   } else if (reuse == MAT_INITIAL_MATRIX) *newmat = C;
1436   PetscFunctionReturn(PETSC_SUCCESS);
1437 }
1438 
1439 #if defined(PETSC_HAVE_ELEMENTAL)
1440 PETSC_INTERN PetscErrorCode MatConvert_MPIDense_Elemental(Mat A, MatType newtype, MatReuse reuse, Mat *newmat)
1441 {
1442   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
1443   Mat           mat_elemental;
1444   PetscScalar  *v;
1445   PetscInt      m = A->rmap->n, N = A->cmap->N, rstart = A->rmap->rstart, i, *rows, *cols, lda;
1446 
1447   PetscFunctionBegin;
1448   if (reuse == MAT_REUSE_MATRIX) {
1449     mat_elemental = *newmat;
1450     PetscCall(MatZeroEntries(*newmat));
1451   } else {
1452     PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &mat_elemental));
1453     PetscCall(MatSetSizes(mat_elemental, PETSC_DECIDE, PETSC_DECIDE, A->rmap->N, A->cmap->N));
1454     PetscCall(MatSetType(mat_elemental, MATELEMENTAL));
1455     PetscCall(MatSetUp(mat_elemental));
1456     PetscCall(MatSetOption(mat_elemental, MAT_ROW_ORIENTED, PETSC_FALSE));
1457   }
1458 
1459   PetscCall(PetscMalloc2(m, &rows, N, &cols));
1460   for (i = 0; i < N; i++) cols[i] = i;
1461   for (i = 0; i < m; i++) rows[i] = rstart + i;
1462 
1463   /* PETSc-Elemental interface uses axpy for setting off-processor entries, only ADD_VALUES is allowed */
1464   PetscCall(MatDenseGetArray(A, &v));
1465   PetscCall(MatDenseGetLDA(a->A, &lda));
1466   if (lda == m) PetscCall(MatSetValues(mat_elemental, m, rows, N, cols, v, ADD_VALUES));
1467   else {
1468     for (i = 0; i < N; i++) PetscCall(MatSetValues(mat_elemental, m, rows, 1, &i, v + lda * i, ADD_VALUES));
1469   }
1470   PetscCall(MatAssemblyBegin(mat_elemental, MAT_FINAL_ASSEMBLY));
1471   PetscCall(MatAssemblyEnd(mat_elemental, MAT_FINAL_ASSEMBLY));
1472   PetscCall(MatDenseRestoreArray(A, &v));
1473   PetscCall(PetscFree2(rows, cols));
1474 
1475   if (reuse == MAT_INPLACE_MATRIX) {
1476     PetscCall(MatHeaderReplace(A, &mat_elemental));
1477   } else {
1478     *newmat = mat_elemental;
1479   }
1480   PetscFunctionReturn(PETSC_SUCCESS);
1481 }
1482 #endif
1483 
1484 static PetscErrorCode MatDenseGetColumn_MPIDense(Mat A, PetscInt col, PetscScalar **vals)
1485 {
1486   Mat_MPIDense *mat = (Mat_MPIDense *)A->data;
1487 
1488   PetscFunctionBegin;
1489   PetscCall(MatDenseGetColumn(mat->A, col, vals));
1490   PetscFunctionReturn(PETSC_SUCCESS);
1491 }
1492 
1493 static PetscErrorCode MatDenseRestoreColumn_MPIDense(Mat A, PetscScalar **vals)
1494 {
1495   Mat_MPIDense *mat = (Mat_MPIDense *)A->data;
1496 
1497   PetscFunctionBegin;
1498   PetscCall(MatDenseRestoreColumn(mat->A, vals));
1499   PetscFunctionReturn(PETSC_SUCCESS);
1500 }
1501 
1502 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPIDense(MPI_Comm comm, Mat inmat, PetscInt n, MatReuse scall, Mat *outmat)
1503 {
1504   Mat_MPIDense *mat;
1505   PetscInt      m, nloc, N;
1506 
1507   PetscFunctionBegin;
1508   PetscCall(MatGetSize(inmat, &m, &N));
1509   PetscCall(MatGetLocalSize(inmat, NULL, &nloc));
1510   if (scall == MAT_INITIAL_MATRIX) { /* symbolic phase */
1511     PetscInt sum;
1512 
1513     if (n == PETSC_DECIDE) PetscCall(PetscSplitOwnership(comm, &n, &N));
1514     /* Check sum(n) = N */
1515     PetscCallMPI(MPIU_Allreduce(&n, &sum, 1, MPIU_INT, MPI_SUM, comm));
1516     PetscCheck(sum == N, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Sum of local columns %" PetscInt_FMT " != global columns %" PetscInt_FMT, sum, N);
1517 
1518     PetscCall(MatCreateDense(comm, m, n, PETSC_DETERMINE, N, NULL, outmat));
1519     PetscCall(MatSetOption(*outmat, MAT_NO_OFF_PROC_ENTRIES, PETSC_TRUE));
1520   }
1521 
1522   /* numeric phase */
1523   mat = (Mat_MPIDense *)(*outmat)->data;
1524   PetscCall(MatCopy(inmat, mat->A, SAME_NONZERO_PATTERN));
1525   PetscFunctionReturn(PETSC_SUCCESS);
1526 }
1527 
1528 PetscErrorCode MatDenseGetColumnVec_MPIDense(Mat A, PetscInt col, Vec *v)
1529 {
1530   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
1531   PetscInt      lda;
1532 
1533   PetscFunctionBegin;
1534   PetscCheck(!a->vecinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreColumnVec() first");
1535   PetscCheck(!a->matinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreSubMatrix() first");
1536   if (!a->cvec) PetscCall(MatDenseCreateColumnVec_Private(A, &a->cvec));
1537   a->vecinuse = col + 1;
1538   PetscCall(MatDenseGetLDA(a->A, &lda));
1539   PetscCall(MatDenseGetArray(a->A, (PetscScalar **)&a->ptrinuse));
1540   PetscCall(VecPlaceArray(a->cvec, PetscSafePointerPlusOffset(a->ptrinuse, (size_t)col * (size_t)lda)));
1541   *v = a->cvec;
1542   PetscFunctionReturn(PETSC_SUCCESS);
1543 }
1544 
1545 PetscErrorCode MatDenseRestoreColumnVec_MPIDense(Mat A, PetscInt col, Vec *v)
1546 {
1547   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
1548 
1549   PetscFunctionBegin;
1550   PetscCheck(a->vecinuse, PETSC_COMM_SELF, PETSC_ERR_ORDER, "Need to call MatDenseGetColumnVec() first");
1551   PetscCheck(a->cvec, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Missing internal column vector");
1552   VecCheckAssembled(a->cvec);
1553   a->vecinuse = 0;
1554   PetscCall(MatDenseRestoreArray(a->A, (PetscScalar **)&a->ptrinuse));
1555   PetscCall(VecResetArray(a->cvec));
1556   if (v) *v = NULL;
1557   PetscFunctionReturn(PETSC_SUCCESS);
1558 }
1559 
1560 PetscErrorCode MatDenseGetColumnVecRead_MPIDense(Mat A, PetscInt col, Vec *v)
1561 {
1562   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
1563   PetscInt      lda;
1564 
1565   PetscFunctionBegin;
1566   PetscCheck(!a->vecinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreColumnVec() first");
1567   PetscCheck(!a->matinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreSubMatrix() first");
1568   if (!a->cvec) PetscCall(MatDenseCreateColumnVec_Private(A, &a->cvec));
1569   a->vecinuse = col + 1;
1570   PetscCall(MatDenseGetLDA(a->A, &lda));
1571   PetscCall(MatDenseGetArrayRead(a->A, &a->ptrinuse));
1572   PetscCall(VecPlaceArray(a->cvec, PetscSafePointerPlusOffset(a->ptrinuse, (size_t)col * (size_t)lda)));
1573   PetscCall(VecLockReadPush(a->cvec));
1574   *v = a->cvec;
1575   PetscFunctionReturn(PETSC_SUCCESS);
1576 }
1577 
1578 PetscErrorCode MatDenseRestoreColumnVecRead_MPIDense(Mat A, PetscInt col, Vec *v)
1579 {
1580   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
1581 
1582   PetscFunctionBegin;
1583   PetscCheck(a->vecinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseGetColumnVec() first");
1584   PetscCheck(a->cvec, PetscObjectComm((PetscObject)A), PETSC_ERR_PLIB, "Missing internal column vector");
1585   VecCheckAssembled(a->cvec);
1586   a->vecinuse = 0;
1587   PetscCall(MatDenseRestoreArrayRead(a->A, &a->ptrinuse));
1588   PetscCall(VecLockReadPop(a->cvec));
1589   PetscCall(VecResetArray(a->cvec));
1590   if (v) *v = NULL;
1591   PetscFunctionReturn(PETSC_SUCCESS);
1592 }
1593 
1594 PetscErrorCode MatDenseGetColumnVecWrite_MPIDense(Mat A, PetscInt col, Vec *v)
1595 {
1596   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
1597   PetscInt      lda;
1598 
1599   PetscFunctionBegin;
1600   PetscCheck(!a->vecinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreColumnVec() first");
1601   PetscCheck(!a->matinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseRestoreSubMatrix() first");
1602   if (!a->cvec) PetscCall(MatDenseCreateColumnVec_Private(A, &a->cvec));
1603   a->vecinuse = col + 1;
1604   PetscCall(MatDenseGetLDA(a->A, &lda));
1605   PetscCall(MatDenseGetArrayWrite(a->A, (PetscScalar **)&a->ptrinuse));
1606   PetscCall(VecPlaceArray(a->cvec, PetscSafePointerPlusOffset(a->ptrinuse, (size_t)col * (size_t)lda)));
1607   *v = a->cvec;
1608   PetscFunctionReturn(PETSC_SUCCESS);
1609 }
1610 
1611 PetscErrorCode MatDenseRestoreColumnVecWrite_MPIDense(Mat A, PetscInt col, Vec *v)
1612 {
1613   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
1614 
1615   PetscFunctionBegin;
1616   PetscCheck(a->vecinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseGetColumnVec() first");
1617   PetscCheck(a->cvec, PetscObjectComm((PetscObject)A), PETSC_ERR_PLIB, "Missing internal column vector");
1618   VecCheckAssembled(a->cvec);
1619   a->vecinuse = 0;
1620   PetscCall(MatDenseRestoreArrayWrite(a->A, (PetscScalar **)&a->ptrinuse));
1621   PetscCall(VecResetArray(a->cvec));
1622   if (v) *v = NULL;
1623   PetscFunctionReturn(PETSC_SUCCESS);
1624 }
1625 
1626 static PetscErrorCode MatDenseGetSubMatrix_MPIDense(Mat A, PetscInt rbegin, PetscInt rend, PetscInt cbegin, PetscInt cend, Mat *v)
1627 {
1628   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
1629   Mat_MPIDense *c;
1630   MPI_Comm      comm;
1631   PetscInt      pbegin, pend;
1632 
1633   PetscFunctionBegin;
1634   PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
1635   PetscCheck(!a->vecinuse, comm, PETSC_ERR_ORDER, "Need to call MatDenseRestoreColumnVec() first");
1636   PetscCheck(!a->matinuse, comm, PETSC_ERR_ORDER, "Need to call MatDenseRestoreSubMatrix() first");
1637   pbegin = PetscMax(0, PetscMin(A->rmap->rend, rbegin) - A->rmap->rstart);
1638   pend   = PetscMin(A->rmap->n, PetscMax(0, rend - A->rmap->rstart));
1639   if (!a->cmat) {
1640     PetscCall(MatCreate(comm, &a->cmat));
1641     PetscCall(MatSetType(a->cmat, ((PetscObject)A)->type_name));
1642     if (rend - rbegin == A->rmap->N) PetscCall(PetscLayoutReference(A->rmap, &a->cmat->rmap));
1643     else {
1644       PetscCall(PetscLayoutSetLocalSize(a->cmat->rmap, pend - pbegin));
1645       PetscCall(PetscLayoutSetSize(a->cmat->rmap, rend - rbegin));
1646       PetscCall(PetscLayoutSetUp(a->cmat->rmap));
1647     }
1648     PetscCall(PetscLayoutSetSize(a->cmat->cmap, cend - cbegin));
1649     PetscCall(PetscLayoutSetUp(a->cmat->cmap));
1650   } else {
1651     PetscBool same = (PetscBool)(rend - rbegin == a->cmat->rmap->N);
1652     if (same && a->cmat->rmap->N != A->rmap->N) {
1653       same = (PetscBool)(pend - pbegin == a->cmat->rmap->n);
1654       PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, &same, 1, MPIU_BOOL, MPI_LAND, PetscObjectComm((PetscObject)A)));
1655     }
1656     if (!same) {
1657       PetscCall(PetscLayoutDestroy(&a->cmat->rmap));
1658       PetscCall(PetscLayoutCreate(comm, &a->cmat->rmap));
1659       PetscCall(PetscLayoutSetLocalSize(a->cmat->rmap, pend - pbegin));
1660       PetscCall(PetscLayoutSetSize(a->cmat->rmap, rend - rbegin));
1661       PetscCall(PetscLayoutSetUp(a->cmat->rmap));
1662     }
1663     if (cend - cbegin != a->cmat->cmap->N) {
1664       PetscCall(PetscLayoutDestroy(&a->cmat->cmap));
1665       PetscCall(PetscLayoutCreate(comm, &a->cmat->cmap));
1666       PetscCall(PetscLayoutSetSize(a->cmat->cmap, cend - cbegin));
1667       PetscCall(PetscLayoutSetUp(a->cmat->cmap));
1668     }
1669   }
1670   c = (Mat_MPIDense *)a->cmat->data;
1671   PetscCheck(!c->A, comm, PETSC_ERR_ORDER, "Need to call MatDenseRestoreSubMatrix() first");
1672   PetscCall(MatDenseGetSubMatrix(a->A, pbegin, pend, cbegin, cend, &c->A));
1673 
1674   a->cmat->preallocated = PETSC_TRUE;
1675   a->cmat->assembled    = PETSC_TRUE;
1676 #if defined(PETSC_HAVE_DEVICE)
1677   a->cmat->offloadmask = c->A->offloadmask;
1678 #endif
1679   a->matinuse = cbegin + 1;
1680   *v          = a->cmat;
1681   PetscFunctionReturn(PETSC_SUCCESS);
1682 }
1683 
1684 static PetscErrorCode MatDenseRestoreSubMatrix_MPIDense(Mat A, Mat *v)
1685 {
1686   Mat_MPIDense *a = (Mat_MPIDense *)A->data;
1687   Mat_MPIDense *c;
1688 
1689   PetscFunctionBegin;
1690   PetscCheck(a->matinuse, PetscObjectComm((PetscObject)A), PETSC_ERR_ORDER, "Need to call MatDenseGetSubMatrix() first");
1691   PetscCheck(a->cmat, PetscObjectComm((PetscObject)A), PETSC_ERR_PLIB, "Missing internal matrix");
1692   PetscCheck(*v == a->cmat, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Not the matrix obtained from MatDenseGetSubMatrix()");
1693   a->matinuse = 0;
1694   c           = (Mat_MPIDense *)a->cmat->data;
1695   PetscCall(MatDenseRestoreSubMatrix(a->A, &c->A));
1696   if (v) *v = NULL;
1697 #if defined(PETSC_HAVE_DEVICE)
1698   A->offloadmask = a->A->offloadmask;
1699 #endif
1700   PetscFunctionReturn(PETSC_SUCCESS);
1701 }
1702 
1703 /*MC
1704    MATMPIDENSE - MATMPIDENSE = "mpidense" - A matrix type to be used for distributed dense matrices.
1705 
1706    Options Database Key:
1707 . -mat_type mpidense - sets the matrix type to `MATMPIDENSE` during a call to `MatSetFromOptions()`
1708 
1709   Level: beginner
1710 
1711 .seealso: [](ch_matrices), `Mat`, `MatCreateDense()`, `MATSEQDENSE`, `MATDENSE`
1712 M*/
1713 PetscErrorCode MatCreate_MPIDense(Mat mat)
1714 {
1715   Mat_MPIDense *a;
1716 
1717   PetscFunctionBegin;
1718   PetscCall(PetscNew(&a));
1719   mat->data   = (void *)a;
1720   mat->ops[0] = MatOps_Values;
1721 
1722   mat->insertmode = NOT_SET_VALUES;
1723 
1724   /* build cache for off array entries formed */
1725   a->donotstash = PETSC_FALSE;
1726 
1727   PetscCall(MatStashCreate_Private(PetscObjectComm((PetscObject)mat), 1, &mat->stash));
1728 
1729   /* stuff used for matrix vector multiply */
1730   a->lvec        = NULL;
1731   a->Mvctx       = NULL;
1732   a->roworiented = PETSC_TRUE;
1733 
1734   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetLDA_C", MatDenseGetLDA_MPIDense));
1735   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseSetLDA_C", MatDenseSetLDA_MPIDense));
1736   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetArray_C", MatDenseGetArray_MPIDense));
1737   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreArray_C", MatDenseRestoreArray_MPIDense));
1738   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetArrayRead_C", MatDenseGetArrayRead_MPIDense));
1739   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreArrayRead_C", MatDenseRestoreArrayRead_MPIDense));
1740   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetArrayWrite_C", MatDenseGetArrayWrite_MPIDense));
1741   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreArrayWrite_C", MatDenseRestoreArrayWrite_MPIDense));
1742   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDensePlaceArray_C", MatDensePlaceArray_MPIDense));
1743   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseResetArray_C", MatDenseResetArray_MPIDense));
1744   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseReplaceArray_C", MatDenseReplaceArray_MPIDense));
1745   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetColumnVec_C", MatDenseGetColumnVec_MPIDense));
1746   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreColumnVec_C", MatDenseRestoreColumnVec_MPIDense));
1747   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetColumnVecRead_C", MatDenseGetColumnVecRead_MPIDense));
1748   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreColumnVecRead_C", MatDenseRestoreColumnVecRead_MPIDense));
1749   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetColumnVecWrite_C", MatDenseGetColumnVecWrite_MPIDense));
1750   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreColumnVecWrite_C", MatDenseRestoreColumnVecWrite_MPIDense));
1751   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetSubMatrix_C", MatDenseGetSubMatrix_MPIDense));
1752   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreSubMatrix_C", MatDenseRestoreSubMatrix_MPIDense));
1753   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatConvert_mpiaij_mpidense_C", MatConvert_MPIAIJ_MPIDense));
1754   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatConvert_mpidense_mpiaij_C", MatConvert_MPIDense_MPIAIJ));
1755 #if defined(PETSC_HAVE_ELEMENTAL)
1756   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatConvert_mpidense_elemental_C", MatConvert_MPIDense_Elemental));
1757 #endif
1758 #if defined(PETSC_HAVE_SCALAPACK)
1759   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatConvert_mpidense_scalapack_C", MatConvert_Dense_ScaLAPACK));
1760 #endif
1761 #if defined(PETSC_HAVE_CUDA)
1762   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatConvert_mpidense_mpidensecuda_C", MatConvert_MPIDense_MPIDenseCUDA));
1763 #endif
1764   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatMPIDenseSetPreallocation_C", MatMPIDenseSetPreallocation_MPIDense));
1765   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpiaij_mpidense_C", MatProductSetFromOptions_MPIAIJ_MPIDense));
1766   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpidense_mpiaij_C", MatProductSetFromOptions_MPIDense_MPIAIJ));
1767 #if defined(PETSC_HAVE_CUDA)
1768   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpiaijcusparse_mpidense_C", MatProductSetFromOptions_MPIAIJ_MPIDense));
1769   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpidense_mpiaijcusparse_C", MatProductSetFromOptions_MPIDense_MPIAIJ));
1770 #endif
1771 #if defined(PETSC_HAVE_HIP)
1772   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatConvert_mpidense_mpidensehip_C", MatConvert_MPIDense_MPIDenseHIP));
1773   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpiaijhipsparse_mpidense_C", MatProductSetFromOptions_MPIAIJ_MPIDense));
1774   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatProductSetFromOptions_mpidense_mpiaijhipsparse_C", MatProductSetFromOptions_MPIDense_MPIAIJ));
1775 #endif
1776   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseGetColumn_C", MatDenseGetColumn_MPIDense));
1777   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatDenseRestoreColumn_C", MatDenseRestoreColumn_MPIDense));
1778   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatMultAddColumnRange_C", MatMultAddColumnRange_MPIDense));
1779   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatMultHermitianTransposeColumnRange_C", MatMultHermitianTransposeColumnRange_MPIDense));
1780   PetscCall(PetscObjectComposeFunction((PetscObject)mat, "MatMultHermitianTransposeAddColumnRange_C", MatMultHermitianTransposeAddColumnRange_MPIDense));
1781   PetscCall(PetscObjectChangeTypeName((PetscObject)mat, MATMPIDENSE));
1782   PetscFunctionReturn(PETSC_SUCCESS);
1783 }
1784 
1785 /*MC
1786    MATDENSE - MATDENSE = "dense" - A matrix type to be used for dense matrices.
1787 
1788    This matrix type is identical to `MATSEQDENSE` when constructed with a single process communicator,
1789    and `MATMPIDENSE` otherwise.
1790 
1791    Options Database Key:
1792 . -mat_type dense - sets the matrix type to `MATDENSE` during a call to `MatSetFromOptions()`
1793 
1794   Level: beginner
1795 
1796 .seealso: [](ch_matrices), `Mat`, `MATSEQDENSE`, `MATMPIDENSE`, `MATDENSECUDA`, `MATDENSEHIP`
1797 M*/
1798 
1799 /*@
1800   MatMPIDenseSetPreallocation - Sets the array used to store the matrix entries
1801 
1802   Collective
1803 
1804   Input Parameters:
1805 + B    - the matrix
1806 - data - optional location of matrix data.  Set to `NULL` for PETSc
1807          to control all matrix memory allocation.
1808 
1809   Level: intermediate
1810 
1811   Notes:
1812   The dense format is fully compatible with standard Fortran
1813   storage by columns.
1814 
1815   The data input variable is intended primarily for Fortran programmers
1816   who wish to allocate their own matrix memory space.  Most users should
1817   set `data` to `NULL`.
1818 
1819 .seealso: [](ch_matrices), `Mat`, `MATMPIDENSE`, `MatCreate()`, `MatCreateSeqDense()`, `MatSetValues()`
1820 @*/
1821 PetscErrorCode MatMPIDenseSetPreallocation(Mat B, PetscScalar *data)
1822 {
1823   PetscFunctionBegin;
1824   PetscValidHeaderSpecific(B, MAT_CLASSID, 1);
1825   PetscTryMethod(B, "MatMPIDenseSetPreallocation_C", (Mat, PetscScalar *), (B, data));
1826   PetscFunctionReturn(PETSC_SUCCESS);
1827 }
1828 
1829 /*@
1830   MatDensePlaceArray - Allows one to replace the array in a `MATDENSE` matrix with an
1831   array provided by the user. This is useful to avoid copying an array
1832   into a matrix
1833 
1834   Not Collective
1835 
1836   Input Parameters:
1837 + mat   - the matrix
1838 - array - the array in column major order
1839 
1840   Level: developer
1841 
1842   Note:
1843   You can return to the original array with a call to `MatDenseResetArray()`. The user is responsible for freeing this array; it will not be
1844   freed when the matrix is destroyed.
1845 
1846 .seealso: [](ch_matrices), `Mat`, `MATDENSE`, `MatDenseGetArray()`, `MatDenseResetArray()`, `VecPlaceArray()`, `VecGetArray()`, `VecRestoreArray()`, `VecReplaceArray()`, `VecResetArray()`,
1847           `MatDenseReplaceArray()`
1848 @*/
1849 PetscErrorCode MatDensePlaceArray(Mat mat, const PetscScalar *array)
1850 {
1851   PetscFunctionBegin;
1852   PetscValidHeaderSpecific(mat, MAT_CLASSID, 1);
1853   PetscUseMethod(mat, "MatDensePlaceArray_C", (Mat, const PetscScalar *), (mat, array));
1854   PetscCall(PetscObjectStateIncrease((PetscObject)mat));
1855 #if defined(PETSC_HAVE_CUDA) || defined(PETSC_HAVE_HIP)
1856   mat->offloadmask = PETSC_OFFLOAD_CPU;
1857 #endif
1858   PetscFunctionReturn(PETSC_SUCCESS);
1859 }
1860 
1861 /*@
1862   MatDenseResetArray - Resets the matrix array to that it previously had before the call to `MatDensePlaceArray()`
1863 
1864   Not Collective
1865 
1866   Input Parameter:
1867 . mat - the matrix
1868 
1869   Level: developer
1870 
1871   Note:
1872   You can only call this after a call to `MatDensePlaceArray()`
1873 
1874 .seealso: [](ch_matrices), `Mat`, `MATDENSE`, `MatDenseGetArray()`, `MatDensePlaceArray()`, `VecPlaceArray()`, `VecGetArray()`, `VecRestoreArray()`, `VecReplaceArray()`, `VecResetArray()`
1875 @*/
1876 PetscErrorCode MatDenseResetArray(Mat mat)
1877 {
1878   PetscFunctionBegin;
1879   PetscValidHeaderSpecific(mat, MAT_CLASSID, 1);
1880   PetscUseMethod(mat, "MatDenseResetArray_C", (Mat), (mat));
1881   PetscCall(PetscObjectStateIncrease((PetscObject)mat));
1882   PetscFunctionReturn(PETSC_SUCCESS);
1883 }
1884 
1885 /*@
1886   MatDenseReplaceArray - Allows one to replace the array in a dense matrix with an
1887   array provided by the user. This is useful to avoid copying an array
1888   into a matrix
1889 
1890   Not Collective
1891 
1892   Input Parameters:
1893 + mat   - the matrix
1894 - array - the array in column major order
1895 
1896   Level: developer
1897 
1898   Note:
1899   The memory passed in MUST be obtained with `PetscMalloc()` and CANNOT be
1900   freed by the user. It will be freed when the matrix is destroyed.
1901 
1902 .seealso: [](ch_matrices), `Mat`, `MatDensePlaceArray()`, `MatDenseGetArray()`, `VecReplaceArray()`
1903 @*/
1904 PetscErrorCode MatDenseReplaceArray(Mat mat, const PetscScalar *array)
1905 {
1906   PetscFunctionBegin;
1907   PetscValidHeaderSpecific(mat, MAT_CLASSID, 1);
1908   PetscUseMethod(mat, "MatDenseReplaceArray_C", (Mat, const PetscScalar *), (mat, array));
1909   PetscCall(PetscObjectStateIncrease((PetscObject)mat));
1910 #if defined(PETSC_HAVE_CUDA) || defined(PETSC_HAVE_HIP)
1911   mat->offloadmask = PETSC_OFFLOAD_CPU;
1912 #endif
1913   PetscFunctionReturn(PETSC_SUCCESS);
1914 }
1915 
1916 /*@
1917   MatCreateDense - Creates a matrix in `MATDENSE` format.
1918 
1919   Collective
1920 
1921   Input Parameters:
1922 + comm - MPI communicator
1923 . m    - number of local rows (or `PETSC_DECIDE` to have calculated if `M` is given)
1924 . n    - number of local columns (or `PETSC_DECIDE` to have calculated if `N` is given)
1925 . M    - number of global rows (or `PETSC_DECIDE` to have calculated if `m` is given)
1926 . N    - number of global columns (or `PETSC_DECIDE` to have calculated if `n` is given)
1927 - data - optional location of matrix data.  Set data to `NULL` (`PETSC_NULL_SCALAR` for Fortran users) for PETSc
1928    to control all matrix memory allocation.
1929 
1930   Output Parameter:
1931 . A - the matrix
1932 
1933   Level: intermediate
1934 
1935   Notes:
1936   The dense format is fully compatible with standard Fortran
1937   storage by columns.
1938 
1939   Although local portions of the matrix are stored in column-major
1940   order, the matrix is partitioned across MPI ranks by row.
1941 
1942   The data input variable is intended primarily for Fortran programmers
1943   who wish to allocate their own matrix memory space.  Most users should
1944   set `data` to `NULL` (`PETSC_NULL_SCALAR` for Fortran users).
1945 
1946   The user MUST specify either the local or global matrix dimensions
1947   (possibly both).
1948 
1949 .seealso: [](ch_matrices), `Mat`, `MATDENSE`, `MatCreate()`, `MatCreateSeqDense()`, `MatSetValues()`
1950 @*/
1951 PetscErrorCode MatCreateDense(MPI_Comm comm, PetscInt m, PetscInt n, PetscInt M, PetscInt N, PetscScalar *data, Mat *A)
1952 {
1953   PetscFunctionBegin;
1954   PetscCall(MatCreate(comm, A));
1955   PetscCall(MatSetSizes(*A, m, n, M, N));
1956   PetscCall(MatSetType(*A, MATDENSE));
1957   PetscCall(MatSeqDenseSetPreallocation(*A, data));
1958   PetscCall(MatMPIDenseSetPreallocation(*A, data));
1959   PetscFunctionReturn(PETSC_SUCCESS);
1960 }
1961 
1962 static PetscErrorCode MatDuplicate_MPIDense(Mat A, MatDuplicateOption cpvalues, Mat *newmat)
1963 {
1964   Mat           mat;
1965   Mat_MPIDense *a, *oldmat = (Mat_MPIDense *)A->data;
1966 
1967   PetscFunctionBegin;
1968   *newmat = NULL;
1969   PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &mat));
1970   PetscCall(MatSetSizes(mat, A->rmap->n, A->cmap->n, A->rmap->N, A->cmap->N));
1971   PetscCall(MatSetType(mat, ((PetscObject)A)->type_name));
1972   a = (Mat_MPIDense *)mat->data;
1973 
1974   mat->factortype   = A->factortype;
1975   mat->assembled    = PETSC_TRUE;
1976   mat->preallocated = PETSC_TRUE;
1977 
1978   mat->insertmode = NOT_SET_VALUES;
1979   a->donotstash   = oldmat->donotstash;
1980 
1981   PetscCall(PetscLayoutReference(A->rmap, &mat->rmap));
1982   PetscCall(PetscLayoutReference(A->cmap, &mat->cmap));
1983 
1984   PetscCall(MatDuplicate(oldmat->A, cpvalues, &a->A));
1985 
1986   *newmat = mat;
1987   PetscFunctionReturn(PETSC_SUCCESS);
1988 }
1989 
1990 static PetscErrorCode MatLoad_MPIDense(Mat newMat, PetscViewer viewer)
1991 {
1992   PetscBool isbinary;
1993 #if defined(PETSC_HAVE_HDF5)
1994   PetscBool ishdf5;
1995 #endif
1996 
1997   PetscFunctionBegin;
1998   PetscValidHeaderSpecific(newMat, MAT_CLASSID, 1);
1999   PetscValidHeaderSpecific(viewer, PETSC_VIEWER_CLASSID, 2);
2000   /* force binary viewer to load .info file if it has not yet done so */
2001   PetscCall(PetscViewerSetUp(viewer));
2002   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
2003 #if defined(PETSC_HAVE_HDF5)
2004   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERHDF5, &ishdf5));
2005 #endif
2006   if (isbinary) {
2007     PetscCall(MatLoad_Dense_Binary(newMat, viewer));
2008 #if defined(PETSC_HAVE_HDF5)
2009   } else if (ishdf5) {
2010     PetscCall(MatLoad_Dense_HDF5(newMat, viewer));
2011 #endif
2012   } else SETERRQ(PetscObjectComm((PetscObject)newMat), PETSC_ERR_SUP, "Viewer type %s not yet supported for reading %s matrices", ((PetscObject)viewer)->type_name, ((PetscObject)newMat)->type_name);
2013   PetscFunctionReturn(PETSC_SUCCESS);
2014 }
2015 
2016 static PetscErrorCode MatEqual_MPIDense(Mat A, Mat B, PetscBool *flag)
2017 {
2018   Mat_MPIDense *matB = (Mat_MPIDense *)B->data, *matA = (Mat_MPIDense *)A->data;
2019   Mat           a, b;
2020 
2021   PetscFunctionBegin;
2022   a = matA->A;
2023   b = matB->A;
2024   PetscCall(MatEqual(a, b, flag));
2025   PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, flag, 1, MPIU_BOOL, MPI_LAND, PetscObjectComm((PetscObject)A)));
2026   PetscFunctionReturn(PETSC_SUCCESS);
2027 }
2028 
2029 static PetscErrorCode MatDestroy_MatTransMatMult_MPIDense_MPIDense(void *data)
2030 {
2031   Mat_TransMatMultDense *atb = (Mat_TransMatMultDense *)data;
2032 
2033   PetscFunctionBegin;
2034   PetscCall(PetscFree2(atb->sendbuf, atb->recvcounts));
2035   PetscCall(MatDestroy(&atb->atb));
2036   PetscCall(PetscFree(atb));
2037   PetscFunctionReturn(PETSC_SUCCESS);
2038 }
2039 
2040 static PetscErrorCode MatDestroy_MatMatTransMult_MPIDense_MPIDense(void *data)
2041 {
2042   Mat_MatTransMultDense *abt = (Mat_MatTransMultDense *)data;
2043 
2044   PetscFunctionBegin;
2045   PetscCall(PetscFree2(abt->buf[0], abt->buf[1]));
2046   PetscCall(PetscFree2(abt->recvcounts, abt->recvdispls));
2047   PetscCall(PetscFree(abt));
2048   PetscFunctionReturn(PETSC_SUCCESS);
2049 }
2050 
2051 static PetscErrorCode MatTransposeMatMultNumeric_MPIDense_MPIDense(Mat A, Mat B, Mat C)
2052 {
2053   Mat_MPIDense          *a = (Mat_MPIDense *)A->data, *b = (Mat_MPIDense *)B->data, *c = (Mat_MPIDense *)C->data;
2054   Mat_TransMatMultDense *atb;
2055   MPI_Comm               comm;
2056   PetscMPIInt            size, *recvcounts;
2057   PetscScalar           *carray, *sendbuf;
2058   const PetscScalar     *atbarray;
2059   PetscInt               i, cN = C->cmap->N, proc, k, j, lda;
2060   const PetscInt        *ranges;
2061 
2062   PetscFunctionBegin;
2063   MatCheckProduct(C, 3);
2064   PetscCheck(C->product->data, PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "Product data empty");
2065   atb        = (Mat_TransMatMultDense *)C->product->data;
2066   recvcounts = atb->recvcounts;
2067   sendbuf    = atb->sendbuf;
2068 
2069   PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
2070   PetscCallMPI(MPI_Comm_size(comm, &size));
2071 
2072   /* compute atbarray = aseq^T * bseq */
2073   PetscCall(MatTransposeMatMult(a->A, b->A, atb->atb ? MAT_REUSE_MATRIX : MAT_INITIAL_MATRIX, PETSC_DETERMINE, &atb->atb));
2074 
2075   PetscCall(MatGetOwnershipRanges(C, &ranges));
2076 
2077   /* arrange atbarray into sendbuf */
2078   PetscCall(MatDenseGetArrayRead(atb->atb, &atbarray));
2079   PetscCall(MatDenseGetLDA(atb->atb, &lda));
2080   for (proc = 0, k = 0; proc < size; proc++) {
2081     for (j = 0; j < cN; j++) {
2082       for (i = ranges[proc]; i < ranges[proc + 1]; i++) sendbuf[k++] = atbarray[i + j * lda];
2083     }
2084   }
2085   PetscCall(MatDenseRestoreArrayRead(atb->atb, &atbarray));
2086 
2087   /* sum all atbarray to local values of C */
2088   PetscCall(MatDenseGetArrayWrite(c->A, &carray));
2089   PetscCallMPI(MPI_Reduce_scatter(sendbuf, carray, recvcounts, MPIU_SCALAR, MPIU_SUM, comm));
2090   PetscCall(MatDenseRestoreArrayWrite(c->A, &carray));
2091   PetscCall(MatSetOption(C, MAT_NO_OFF_PROC_ENTRIES, PETSC_TRUE));
2092   PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2093   PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2094   PetscFunctionReturn(PETSC_SUCCESS);
2095 }
2096 
2097 static PetscErrorCode MatTransposeMatMultSymbolic_MPIDense_MPIDense(Mat A, Mat B, PetscReal fill, Mat C)
2098 {
2099   MPI_Comm               comm;
2100   PetscMPIInt            size;
2101   PetscInt               cm = A->cmap->n, cM, cN = B->cmap->N;
2102   Mat_TransMatMultDense *atb;
2103   PetscBool              cisdense = PETSC_FALSE;
2104   const PetscInt        *ranges;
2105 
2106   PetscFunctionBegin;
2107   MatCheckProduct(C, 4);
2108   PetscCheck(!C->product->data, PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "Product data not empty");
2109   PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
2110   if (A->rmap->rstart != B->rmap->rstart || A->rmap->rend != B->rmap->rend) {
2111     SETERRQ(comm, PETSC_ERR_ARG_SIZ, "Matrix local dimensions are incompatible, A (%" PetscInt_FMT ", %" PetscInt_FMT ") != B (%" PetscInt_FMT ",%" PetscInt_FMT ")", A->rmap->rstart, A->rmap->rend, B->rmap->rstart, B->rmap->rend);
2112   }
2113 
2114   /* create matrix product C */
2115   PetscCall(MatSetSizes(C, cm, B->cmap->n, A->cmap->N, B->cmap->N));
2116 #if defined(PETSC_HAVE_CUDA)
2117   PetscCall(PetscObjectTypeCompareAny((PetscObject)C, &cisdense, MATMPIDENSE, MATMPIDENSECUDA, ""));
2118 #endif
2119 #if defined(PETSC_HAVE_HIP)
2120   PetscCall(PetscObjectTypeCompareAny((PetscObject)C, &cisdense, MATMPIDENSE, MATMPIDENSEHIP, ""));
2121 #endif
2122   if (!cisdense) PetscCall(MatSetType(C, ((PetscObject)A)->type_name));
2123   PetscCall(MatSetUp(C));
2124 
2125   /* create data structure for reuse C */
2126   PetscCallMPI(MPI_Comm_size(comm, &size));
2127   PetscCall(PetscNew(&atb));
2128   cM = C->rmap->N;
2129   PetscCall(PetscMalloc2(cM * cN, &atb->sendbuf, size, &atb->recvcounts));
2130   PetscCall(MatGetOwnershipRanges(C, &ranges));
2131   for (PetscMPIInt i = 0; i < size; i++) PetscCall(PetscMPIIntCast((ranges[i + 1] - ranges[i]) * cN, &atb->recvcounts[i]));
2132   C->product->data    = atb;
2133   C->product->destroy = MatDestroy_MatTransMatMult_MPIDense_MPIDense;
2134   PetscFunctionReturn(PETSC_SUCCESS);
2135 }
2136 
2137 static PetscErrorCode MatMatTransposeMultSymbolic_MPIDense_MPIDense(Mat A, Mat B, PetscReal fill, Mat C)
2138 {
2139   MPI_Comm               comm;
2140   PetscMPIInt            i, size;
2141   PetscInt               maxRows, bufsiz;
2142   PetscMPIInt            tag;
2143   PetscInt               alg;
2144   Mat_MatTransMultDense *abt;
2145   Mat_Product           *product = C->product;
2146   PetscBool              flg;
2147 
2148   PetscFunctionBegin;
2149   MatCheckProduct(C, 4);
2150   PetscCheck(!C->product->data, PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "Product data not empty");
2151   /* check local size of A and B */
2152   PetscCheck(A->cmap->n == B->cmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Matrix local column dimensions are incompatible, A (%" PetscInt_FMT ") != B (%" PetscInt_FMT ")", A->cmap->n, B->cmap->n);
2153 
2154   PetscCall(PetscStrcmp(product->alg, "allgatherv", &flg));
2155   alg = flg ? 0 : 1;
2156 
2157   /* setup matrix product C */
2158   PetscCall(MatSetSizes(C, A->rmap->n, B->rmap->n, A->rmap->N, B->rmap->N));
2159   PetscCall(MatSetType(C, MATMPIDENSE));
2160   PetscCall(MatSetUp(C));
2161   PetscCall(PetscObjectGetNewTag((PetscObject)C, &tag));
2162 
2163   /* create data structure for reuse C */
2164   PetscCall(PetscObjectGetComm((PetscObject)C, &comm));
2165   PetscCallMPI(MPI_Comm_size(comm, &size));
2166   PetscCall(PetscNew(&abt));
2167   abt->tag = tag;
2168   abt->alg = alg;
2169   switch (alg) {
2170   case 1: /* alg: "cyclic" */
2171     for (maxRows = 0, i = 0; i < size; i++) maxRows = PetscMax(maxRows, B->rmap->range[i + 1] - B->rmap->range[i]);
2172     bufsiz = A->cmap->N * maxRows;
2173     PetscCall(PetscMalloc2(bufsiz, &abt->buf[0], bufsiz, &abt->buf[1]));
2174     break;
2175   default: /* alg: "allgatherv" */
2176     PetscCall(PetscMalloc2(B->rmap->n * B->cmap->N, &abt->buf[0], B->rmap->N * B->cmap->N, &abt->buf[1]));
2177     PetscCall(PetscMalloc2(size, &abt->recvcounts, size + 1, &abt->recvdispls));
2178     for (i = 0; i <= size; i++) PetscCall(PetscMPIIntCast(B->rmap->range[i] * A->cmap->N, &abt->recvdispls[i]));
2179     for (i = 0; i < size; i++) PetscCall(PetscMPIIntCast(abt->recvdispls[i + 1] - abt->recvdispls[i], &abt->recvcounts[i]));
2180     break;
2181   }
2182 
2183   C->product->data                = abt;
2184   C->product->destroy             = MatDestroy_MatMatTransMult_MPIDense_MPIDense;
2185   C->ops->mattransposemultnumeric = MatMatTransposeMultNumeric_MPIDense_MPIDense;
2186   PetscFunctionReturn(PETSC_SUCCESS);
2187 }
2188 
2189 static PetscErrorCode MatMatTransposeMultNumeric_MPIDense_MPIDense_Cyclic(Mat A, Mat B, Mat C)
2190 {
2191   Mat_MPIDense          *a = (Mat_MPIDense *)A->data, *b = (Mat_MPIDense *)B->data, *c = (Mat_MPIDense *)C->data;
2192   Mat_MatTransMultDense *abt;
2193   MPI_Comm               comm;
2194   PetscMPIInt            rank, size, sendto, recvfrom, recvisfrom;
2195   PetscScalar           *sendbuf, *recvbuf = NULL, *cv;
2196   PetscInt               i, cK             = A->cmap->N, sendsiz, recvsiz, k, j, bn;
2197   PetscScalar            _DOne = 1.0, _DZero = 0.0;
2198   const PetscScalar     *av, *bv;
2199   PetscBLASInt           cm, cn, ck, alda, blda = 0, clda;
2200   MPI_Request            reqs[2];
2201   const PetscInt        *ranges;
2202 
2203   PetscFunctionBegin;
2204   MatCheckProduct(C, 3);
2205   PetscCheck(C->product->data, PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "Product data empty");
2206   abt = (Mat_MatTransMultDense *)C->product->data;
2207   PetscCall(PetscObjectGetComm((PetscObject)C, &comm));
2208   PetscCallMPI(MPI_Comm_rank(comm, &rank));
2209   PetscCallMPI(MPI_Comm_size(comm, &size));
2210   PetscCall(MatDenseGetArrayRead(a->A, &av));
2211   PetscCall(MatDenseGetArrayRead(b->A, &bv));
2212   PetscCall(MatDenseGetArrayWrite(c->A, &cv));
2213   PetscCall(MatDenseGetLDA(a->A, &i));
2214   PetscCall(PetscBLASIntCast(i, &alda));
2215   PetscCall(MatDenseGetLDA(b->A, &i));
2216   PetscCall(PetscBLASIntCast(i, &blda));
2217   PetscCall(MatDenseGetLDA(c->A, &i));
2218   PetscCall(PetscBLASIntCast(i, &clda));
2219   PetscCall(MatGetOwnershipRanges(B, &ranges));
2220   bn = B->rmap->n;
2221   if (blda == bn) {
2222     sendbuf = (PetscScalar *)bv;
2223   } else {
2224     sendbuf = abt->buf[0];
2225     for (k = 0, i = 0; i < cK; i++) {
2226       for (j = 0; j < bn; j++, k++) sendbuf[k] = bv[i * blda + j];
2227     }
2228   }
2229   if (size > 1) {
2230     sendto   = (rank + size - 1) % size;
2231     recvfrom = (rank + size + 1) % size;
2232   } else {
2233     sendto = recvfrom = 0;
2234   }
2235   PetscCall(PetscBLASIntCast(cK, &ck));
2236   PetscCall(PetscBLASIntCast(c->A->rmap->n, &cm));
2237   recvisfrom = rank;
2238   for (i = 0; i < size; i++) {
2239     /* we have finished receiving in sending, bufs can be read/modified */
2240     PetscMPIInt nextrecvisfrom = (recvisfrom + 1) % size; /* which process the next recvbuf will originate on */
2241     PetscInt    nextbn         = ranges[nextrecvisfrom + 1] - ranges[nextrecvisfrom];
2242 
2243     if (nextrecvisfrom != rank) {
2244       /* start the cyclic sends from sendbuf, to recvbuf (which will switch to sendbuf) */
2245       sendsiz = cK * bn;
2246       recvsiz = cK * nextbn;
2247       recvbuf = (i & 1) ? abt->buf[0] : abt->buf[1];
2248       PetscCallMPI(MPIU_Isend(sendbuf, sendsiz, MPIU_SCALAR, sendto, abt->tag, comm, &reqs[0]));
2249       PetscCallMPI(MPIU_Irecv(recvbuf, recvsiz, MPIU_SCALAR, recvfrom, abt->tag, comm, &reqs[1]));
2250     }
2251 
2252     /* local aseq * sendbuf^T */
2253     PetscCall(PetscBLASIntCast(ranges[recvisfrom + 1] - ranges[recvisfrom], &cn));
2254     if (cm && cn && ck) PetscCallBLAS("BLASgemm", BLASgemm_("N", "T", &cm, &cn, &ck, &_DOne, av, &alda, sendbuf, &cn, &_DZero, cv + clda * ranges[recvisfrom], &clda));
2255 
2256     if (nextrecvisfrom != rank) {
2257       /* wait for the sends and receives to complete, swap sendbuf and recvbuf */
2258       PetscCallMPI(MPI_Waitall(2, reqs, MPI_STATUSES_IGNORE));
2259     }
2260     bn         = nextbn;
2261     recvisfrom = nextrecvisfrom;
2262     sendbuf    = recvbuf;
2263   }
2264   PetscCall(MatDenseRestoreArrayRead(a->A, &av));
2265   PetscCall(MatDenseRestoreArrayRead(b->A, &bv));
2266   PetscCall(MatDenseRestoreArrayWrite(c->A, &cv));
2267   PetscCall(MatSetOption(C, MAT_NO_OFF_PROC_ENTRIES, PETSC_TRUE));
2268   PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2269   PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2270   PetscFunctionReturn(PETSC_SUCCESS);
2271 }
2272 
2273 static PetscErrorCode MatMatTransposeMultNumeric_MPIDense_MPIDense_Allgatherv(Mat A, Mat B, Mat C)
2274 {
2275   Mat_MPIDense          *a = (Mat_MPIDense *)A->data, *b = (Mat_MPIDense *)B->data, *c = (Mat_MPIDense *)C->data;
2276   Mat_MatTransMultDense *abt;
2277   MPI_Comm               comm;
2278   PetscMPIInt            size, ibn;
2279   PetscScalar           *cv, *sendbuf, *recvbuf;
2280   const PetscScalar     *av, *bv;
2281   PetscInt               blda, i, cK = A->cmap->N, k, j, bn;
2282   PetscScalar            _DOne = 1.0, _DZero = 0.0;
2283   PetscBLASInt           cm, cn, ck, alda, clda;
2284 
2285   PetscFunctionBegin;
2286   MatCheckProduct(C, 3);
2287   PetscCheck(C->product->data, PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "Product data empty");
2288   abt = (Mat_MatTransMultDense *)C->product->data;
2289   PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
2290   PetscCallMPI(MPI_Comm_size(comm, &size));
2291   PetscCall(MatDenseGetArrayRead(a->A, &av));
2292   PetscCall(MatDenseGetArrayRead(b->A, &bv));
2293   PetscCall(MatDenseGetArrayWrite(c->A, &cv));
2294   PetscCall(MatDenseGetLDA(a->A, &i));
2295   PetscCall(PetscBLASIntCast(i, &alda));
2296   PetscCall(MatDenseGetLDA(b->A, &blda));
2297   PetscCall(MatDenseGetLDA(c->A, &i));
2298   PetscCall(PetscBLASIntCast(i, &clda));
2299   /* copy transpose of B into buf[0] */
2300   bn      = B->rmap->n;
2301   sendbuf = abt->buf[0];
2302   recvbuf = abt->buf[1];
2303   for (k = 0, j = 0; j < bn; j++) {
2304     for (i = 0; i < cK; i++, k++) sendbuf[k] = bv[i * blda + j];
2305   }
2306   PetscCall(MatDenseRestoreArrayRead(b->A, &bv));
2307   PetscCall(PetscMPIIntCast(bn * cK, &ibn));
2308   PetscCallMPI(MPI_Allgatherv(sendbuf, ibn, MPIU_SCALAR, recvbuf, abt->recvcounts, abt->recvdispls, MPIU_SCALAR, comm));
2309   PetscCall(PetscBLASIntCast(cK, &ck));
2310   PetscCall(PetscBLASIntCast(c->A->rmap->n, &cm));
2311   PetscCall(PetscBLASIntCast(c->A->cmap->n, &cn));
2312   if (cm && cn && ck) PetscCallBLAS("BLASgemm", BLASgemm_("N", "N", &cm, &cn, &ck, &_DOne, av, &alda, recvbuf, &ck, &_DZero, cv, &clda));
2313   PetscCall(MatDenseRestoreArrayRead(a->A, &av));
2314   PetscCall(MatDenseRestoreArrayRead(b->A, &bv));
2315   PetscCall(MatDenseRestoreArrayWrite(c->A, &cv));
2316   PetscCall(MatSetOption(C, MAT_NO_OFF_PROC_ENTRIES, PETSC_TRUE));
2317   PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2318   PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2319   PetscFunctionReturn(PETSC_SUCCESS);
2320 }
2321 
2322 static PetscErrorCode MatMatTransposeMultNumeric_MPIDense_MPIDense(Mat A, Mat B, Mat C)
2323 {
2324   Mat_MatTransMultDense *abt;
2325 
2326   PetscFunctionBegin;
2327   MatCheckProduct(C, 3);
2328   PetscCheck(C->product->data, PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "Product data empty");
2329   abt = (Mat_MatTransMultDense *)C->product->data;
2330   switch (abt->alg) {
2331   case 1:
2332     PetscCall(MatMatTransposeMultNumeric_MPIDense_MPIDense_Cyclic(A, B, C));
2333     break;
2334   default:
2335     PetscCall(MatMatTransposeMultNumeric_MPIDense_MPIDense_Allgatherv(A, B, C));
2336     break;
2337   }
2338   PetscFunctionReturn(PETSC_SUCCESS);
2339 }
2340 
2341 static PetscErrorCode MatDestroy_MatMatMult_MPIDense_MPIDense(void *data)
2342 {
2343   Mat_MatMultDense *ab = (Mat_MatMultDense *)data;
2344 
2345   PetscFunctionBegin;
2346   PetscCall(MatDestroy(&ab->Ce));
2347   PetscCall(MatDestroy(&ab->Ae));
2348   PetscCall(MatDestroy(&ab->Be));
2349   PetscCall(PetscFree(ab));
2350   PetscFunctionReturn(PETSC_SUCCESS);
2351 }
2352 
2353 static PetscErrorCode MatMatMultNumeric_MPIDense_MPIDense(Mat A, Mat B, Mat C)
2354 {
2355   Mat_MatMultDense *ab;
2356   Mat_MPIDense     *mdn = (Mat_MPIDense *)A->data;
2357 
2358   PetscFunctionBegin;
2359   MatCheckProduct(C, 3);
2360   PetscCheck(C->product->data, PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "Missing product data");
2361   ab = (Mat_MatMultDense *)C->product->data;
2362   if (ab->Ae && ab->Ce) {
2363 #if PetscDefined(HAVE_ELEMENTAL)
2364     PetscCall(MatConvert_MPIDense_Elemental(A, MATELEMENTAL, MAT_REUSE_MATRIX, &ab->Ae));
2365     PetscCall(MatConvert_MPIDense_Elemental(B, MATELEMENTAL, MAT_REUSE_MATRIX, &ab->Be));
2366     PetscCall(MatMatMultNumeric_Elemental(ab->Ae, ab->Be, ab->Ce));
2367     PetscCall(MatConvert(ab->Ce, MATMPIDENSE, MAT_REUSE_MATRIX, &C));
2368 #else
2369     SETERRQ(PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "PETSC_HAVE_ELEMENTAL not defined");
2370 #endif
2371   } else {
2372     const PetscScalar *read;
2373     PetscScalar       *write;
2374     PetscInt           lda;
2375 
2376     PetscCall(MatDenseGetLDA(B, &lda));
2377     PetscCall(MatDenseGetArrayRead(B, &read));
2378     PetscCall(MatDenseGetArrayWrite(ab->Be, &write));
2379     if (!mdn->Mvctx) PetscCall(MatSetUpMultiply_MPIDense(A)); /* cannot be done during the symbolic phase because of possible calls to MatProductReplaceMats() */
2380     for (PetscInt i = 0; i < C->cmap->N; ++i) {
2381       PetscCall(PetscSFBcastBegin(mdn->Mvctx, MPIU_SCALAR, read + i * lda, write + i * ab->Be->rmap->n, MPI_REPLACE));
2382       PetscCall(PetscSFBcastEnd(mdn->Mvctx, MPIU_SCALAR, read + i * lda, write + i * ab->Be->rmap->n, MPI_REPLACE));
2383     }
2384     PetscCall(MatDenseRestoreArrayWrite(ab->Be, &write));
2385     PetscCall(MatDenseRestoreArrayRead(B, &read));
2386     PetscCall(MatMatMultNumeric_SeqDense_SeqDense(((Mat_MPIDense *)A->data)->A, ab->Be, ((Mat_MPIDense *)C->data)->A));
2387   }
2388   PetscFunctionReturn(PETSC_SUCCESS);
2389 }
2390 
2391 static PetscErrorCode MatMatMultSymbolic_MPIDense_MPIDense(Mat A, Mat B, PetscReal fill, Mat C)
2392 {
2393   Mat_Product      *product = C->product;
2394   PetscInt          alg;
2395   Mat_MatMultDense *ab;
2396   PetscBool         flg;
2397 
2398   PetscFunctionBegin;
2399   MatCheckProduct(C, 4);
2400   PetscCheck(!C->product->data, PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "Product data not empty");
2401   /* check local size of A and B */
2402   PetscCheck(A->cmap->rstart == B->rmap->rstart && A->cmap->rend == B->rmap->rend, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_SIZ, "Matrix local dimensions are incompatible, A (%" PetscInt_FMT ", %" PetscInt_FMT ") != B (%" PetscInt_FMT ", %" PetscInt_FMT ")",
2403              A->rmap->rstart, A->rmap->rend, B->rmap->rstart, B->rmap->rend);
2404 
2405   PetscCall(PetscStrcmp(product->alg, "petsc", &flg));
2406   alg = flg ? 0 : 1;
2407 
2408   /* setup C */
2409   PetscCall(MatSetSizes(C, A->rmap->n, B->cmap->n, A->rmap->N, B->cmap->N));
2410   PetscCall(MatSetType(C, MATMPIDENSE));
2411   PetscCall(MatSetUp(C));
2412 
2413   /* create data structure for reuse Cdense */
2414   PetscCall(PetscNew(&ab));
2415 
2416   switch (alg) {
2417   case 1: /* alg: "elemental" */
2418 #if PetscDefined(HAVE_ELEMENTAL)
2419     /* create elemental matrices Ae and Be */
2420     PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &ab->Ae));
2421     PetscCall(MatSetSizes(ab->Ae, PETSC_DECIDE, PETSC_DECIDE, A->rmap->N, A->cmap->N));
2422     PetscCall(MatSetType(ab->Ae, MATELEMENTAL));
2423     PetscCall(MatSetUp(ab->Ae));
2424     PetscCall(MatSetOption(ab->Ae, MAT_ROW_ORIENTED, PETSC_FALSE));
2425 
2426     PetscCall(MatCreate(PetscObjectComm((PetscObject)B), &ab->Be));
2427     PetscCall(MatSetSizes(ab->Be, PETSC_DECIDE, PETSC_DECIDE, B->rmap->N, B->cmap->N));
2428     PetscCall(MatSetType(ab->Be, MATELEMENTAL));
2429     PetscCall(MatSetUp(ab->Be));
2430     PetscCall(MatSetOption(ab->Be, MAT_ROW_ORIENTED, PETSC_FALSE));
2431 
2432     /* compute symbolic Ce = Ae*Be */
2433     PetscCall(MatCreate(PetscObjectComm((PetscObject)C), &ab->Ce));
2434     PetscCall(MatMatMultSymbolic_Elemental(ab->Ae, ab->Be, fill, ab->Ce));
2435 #else
2436     SETERRQ(PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "PETSC_HAVE_ELEMENTAL not defined");
2437 #endif
2438     break;
2439   default: /* alg: "petsc" */
2440     ab->Ae = NULL;
2441     PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, A->cmap->N, B->cmap->N, NULL, &ab->Be));
2442     ab->Ce = NULL;
2443     break;
2444   }
2445 
2446   C->product->data       = ab;
2447   C->product->destroy    = MatDestroy_MatMatMult_MPIDense_MPIDense;
2448   C->ops->matmultnumeric = MatMatMultNumeric_MPIDense_MPIDense;
2449   PetscFunctionReturn(PETSC_SUCCESS);
2450 }
2451 
2452 static PetscErrorCode MatProductSetFromOptions_MPIDense_AB(Mat C)
2453 {
2454   Mat_Product *product     = C->product;
2455   const char  *algTypes[2] = {"petsc", "elemental"};
2456   PetscInt     alg, nalg = PetscDefined(HAVE_ELEMENTAL) ? 2 : 1;
2457   PetscBool    flg = PETSC_FALSE;
2458 
2459   PetscFunctionBegin;
2460   /* Set default algorithm */
2461   alg = 0; /* default is petsc */
2462   PetscCall(PetscStrcmp(product->alg, "default", &flg));
2463   if (flg) PetscCall(MatProductSetAlgorithm(C, algTypes[alg]));
2464 
2465   /* Get runtime option */
2466   PetscOptionsBegin(PetscObjectComm((PetscObject)C), ((PetscObject)C)->prefix, "MatProduct_AB", "Mat");
2467   PetscCall(PetscOptionsEList("-mat_product_algorithm", "Algorithmic approach", "MatProduct_AB", algTypes, nalg, algTypes[alg], &alg, &flg));
2468   PetscOptionsEnd();
2469   if (flg) PetscCall(MatProductSetAlgorithm(C, algTypes[alg]));
2470 
2471   C->ops->matmultsymbolic = MatMatMultSymbolic_MPIDense_MPIDense;
2472   C->ops->productsymbolic = MatProductSymbolic_AB;
2473   PetscFunctionReturn(PETSC_SUCCESS);
2474 }
2475 
2476 static PetscErrorCode MatProductSetFromOptions_MPIDense_AtB(Mat C)
2477 {
2478   Mat_Product *product = C->product;
2479   Mat          A = product->A, B = product->B;
2480 
2481   PetscFunctionBegin;
2482   PetscCheck(A->rmap->rstart == B->rmap->rstart && A->rmap->rend == B->rmap->rend, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Matrix local dimensions are incompatible, (%" PetscInt_FMT ", %" PetscInt_FMT ") != (%" PetscInt_FMT ",%" PetscInt_FMT ")",
2483              A->rmap->rstart, A->rmap->rend, B->rmap->rstart, B->rmap->rend);
2484   C->ops->transposematmultsymbolic = MatTransposeMatMultSymbolic_MPIDense_MPIDense;
2485   C->ops->productsymbolic          = MatProductSymbolic_AtB;
2486   PetscFunctionReturn(PETSC_SUCCESS);
2487 }
2488 
2489 static PetscErrorCode MatProductSetFromOptions_MPIDense_ABt(Mat C)
2490 {
2491   Mat_Product *product     = C->product;
2492   const char  *algTypes[2] = {"allgatherv", "cyclic"};
2493   PetscInt     alg, nalg = 2;
2494   PetscBool    flg = PETSC_FALSE;
2495 
2496   PetscFunctionBegin;
2497   /* Set default algorithm */
2498   alg = 0; /* default is allgatherv */
2499   PetscCall(PetscStrcmp(product->alg, "default", &flg));
2500   if (flg) PetscCall(MatProductSetAlgorithm(C, algTypes[alg]));
2501 
2502   /* Get runtime option */
2503   if (product->api_user) {
2504     PetscOptionsBegin(PetscObjectComm((PetscObject)C), ((PetscObject)C)->prefix, "MatMatTransposeMult", "Mat");
2505     PetscCall(PetscOptionsEList("-matmattransmult_mpidense_mpidense_via", "Algorithmic approach", "MatMatTransposeMult", algTypes, nalg, algTypes[alg], &alg, &flg));
2506     PetscOptionsEnd();
2507   } else {
2508     PetscOptionsBegin(PetscObjectComm((PetscObject)C), ((PetscObject)C)->prefix, "MatProduct_ABt", "Mat");
2509     PetscCall(PetscOptionsEList("-mat_product_algorithm", "Algorithmic approach", "MatProduct_ABt", algTypes, nalg, algTypes[alg], &alg, &flg));
2510     PetscOptionsEnd();
2511   }
2512   if (flg) PetscCall(MatProductSetAlgorithm(C, algTypes[alg]));
2513 
2514   C->ops->mattransposemultsymbolic = MatMatTransposeMultSymbolic_MPIDense_MPIDense;
2515   C->ops->productsymbolic          = MatProductSymbolic_ABt;
2516   PetscFunctionReturn(PETSC_SUCCESS);
2517 }
2518 
2519 static PetscErrorCode MatProductSetFromOptions_MPIDense(Mat C)
2520 {
2521   Mat_Product *product = C->product;
2522 
2523   PetscFunctionBegin;
2524   switch (product->type) {
2525   case MATPRODUCT_AB:
2526     PetscCall(MatProductSetFromOptions_MPIDense_AB(C));
2527     break;
2528   case MATPRODUCT_AtB:
2529     PetscCall(MatProductSetFromOptions_MPIDense_AtB(C));
2530     break;
2531   case MATPRODUCT_ABt:
2532     PetscCall(MatProductSetFromOptions_MPIDense_ABt(C));
2533     break;
2534   default:
2535     break;
2536   }
2537   PetscFunctionReturn(PETSC_SUCCESS);
2538 }
2539