xref: /petsc/src/mat/interface/matrix.c (revision b42bc7b88f9815e337b1912fc7a1c20c1c195819)
1 
2 /*
3    This is where the abstract matrix operations are defined
4 */
5 
6 #include <petsc/private/matimpl.h>        /*I "petscmat.h" I*/
7 #include <petsc/private/isimpl.h>
8 #include <petsc/private/vecimpl.h>
9 
10 /* Logging support */
11 PetscClassId MAT_CLASSID;
12 PetscClassId MAT_COLORING_CLASSID;
13 PetscClassId MAT_FDCOLORING_CLASSID;
14 PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
15 
16 PetscLogEvent MAT_Mult, MAT_Mults, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
17 PetscLogEvent MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_Solves, MAT_SolveAdd, MAT_SolveTranspose, MAT_MatSolve;
18 PetscLogEvent MAT_SolveTransposeAdd, MAT_SOR, MAT_ForwardSolve, MAT_BackwardSolve, MAT_LUFactor, MAT_LUFactorSymbolic;
19 PetscLogEvent MAT_LUFactorNumeric, MAT_CholeskyFactor, MAT_CholeskyFactorSymbolic, MAT_CholeskyFactorNumeric, MAT_ILUFactor;
20 PetscLogEvent MAT_ILUFactorSymbolic, MAT_ICCFactorSymbolic, MAT_Copy, MAT_Convert, MAT_Scale, MAT_AssemblyBegin;
21 PetscLogEvent MAT_AssemblyEnd, MAT_SetValues, MAT_GetValues, MAT_GetRow, MAT_GetRowIJ, MAT_GetSubMatrices, MAT_GetOrdering, MAT_RedundantMat, MAT_GetSeqNonzeroStructure;
22 PetscLogEvent MAT_IncreaseOverlap, MAT_Partitioning, MAT_Coarsen, MAT_ZeroEntries, MAT_Load, MAT_View, MAT_AXPY, MAT_FDColoringCreate;
23 PetscLogEvent MAT_FDColoringSetUp, MAT_FDColoringApply,MAT_Transpose,MAT_FDColoringFunction, MAT_GetSubMatrix;
24 PetscLogEvent MAT_TransposeColoringCreate;
25 PetscLogEvent MAT_MatMult, MAT_MatMultSymbolic, MAT_MatMultNumeric;
26 PetscLogEvent MAT_PtAP, MAT_PtAPSymbolic, MAT_PtAPNumeric,MAT_RARt, MAT_RARtSymbolic, MAT_RARtNumeric;
27 PetscLogEvent MAT_MatTransposeMult, MAT_MatTransposeMultSymbolic, MAT_MatTransposeMultNumeric;
28 PetscLogEvent MAT_TransposeMatMult, MAT_TransposeMatMultSymbolic, MAT_TransposeMatMultNumeric;
29 PetscLogEvent MAT_MatMatMult, MAT_MatMatMultSymbolic, MAT_MatMatMultNumeric;
30 PetscLogEvent MAT_MultHermitianTranspose,MAT_MultHermitianTransposeAdd;
31 PetscLogEvent MAT_Getsymtranspose, MAT_Getsymtransreduced, MAT_Transpose_SeqAIJ, MAT_GetBrowsOfAcols;
32 PetscLogEvent MAT_GetBrowsOfAocols, MAT_Getlocalmat, MAT_Getlocalmatcondensed, MAT_Seqstompi, MAT_Seqstompinum, MAT_Seqstompisym;
33 PetscLogEvent MAT_Applypapt, MAT_Applypapt_numeric, MAT_Applypapt_symbolic, MAT_GetSequentialNonzeroStructure;
34 PetscLogEvent MAT_GetMultiProcBlock;
35 PetscLogEvent MAT_CUSPCopyToGPU, MAT_CUSPARSECopyToGPU, MAT_SetValuesBatch, MAT_SetValuesBatchI, MAT_SetValuesBatchII, MAT_SetValuesBatchIII, MAT_SetValuesBatchIV;
36 PetscLogEvent MAT_ViennaCLCopyToGPU;
37 PetscLogEvent MAT_Merge,MAT_Residual,MAT_SetRandom;
38 PetscLogEvent MATCOLORING_Apply,MATCOLORING_Comm,MATCOLORING_Local,MATCOLORING_ISCreate,MATCOLORING_SetUp,MATCOLORING_Weights;
39 
40 const char *const MatFactorTypes[] = {"NONE","LU","CHOLESKY","ILU","ICC","ILUDT","MatFactorType","MAT_FACTOR_",0};
41 
42 #undef __FUNCT__
43 #define __FUNCT__ "MatSetRandom"
44 /*@
45    MatSetRandom - Sets all components of a matrix to random numbers. For sparse matrices that have been preallocated it randomly selects appropriate locations
46 
47    Logically Collective on Vec
48 
49    Input Parameters:
50 +  x  - the vector
51 -  rctx - the random number context, formed by PetscRandomCreate(), or NULL and
52           it will create one internally.
53 
54    Output Parameter:
55 .  x  - the vector
56 
57    Example of Usage:
58 .vb
59      PetscRandomCreate(PETSC_COMM_WORLD,&rctx);
60      MatSetRandom(x,rctx);
61      PetscRandomDestroy(rctx);
62 .ve
63 
64    Level: intermediate
65 
66    Concepts: matrix^setting to random
67    Concepts: random^matrix
68 
69 .seealso: MatZeroEntries(), MatSetValues(), PetscRandomCreate(), PetscRandomDestroy()
70 @*/
71 PetscErrorCode MatSetRandom(Mat x,PetscRandom rctx)
72 {
73   PetscErrorCode ierr;
74   PetscRandom    randObj = NULL;
75 
76   PetscFunctionBegin;
77   PetscValidHeaderSpecific(x,MAT_CLASSID,1);
78   if (rctx) PetscValidHeaderSpecific(rctx,PETSC_RANDOM_CLASSID,2);
79   PetscValidType(x,1);
80 
81   if (!rctx) {
82     MPI_Comm comm;
83     ierr = PetscObjectGetComm((PetscObject)x,&comm);CHKERRQ(ierr);
84     ierr = PetscRandomCreate(comm,&randObj);CHKERRQ(ierr);
85     ierr = PetscRandomSetFromOptions(randObj);CHKERRQ(ierr);
86     rctx = randObj;
87   }
88 
89   ierr = PetscLogEventBegin(MAT_SetRandom,x,rctx,0,0);CHKERRQ(ierr);
90   ierr = (*x->ops->setrandom)(x,rctx);CHKERRQ(ierr);
91   ierr = PetscLogEventEnd(MAT_SetRandom,x,rctx,0,0);CHKERRQ(ierr);
92 
93   x->assembled = PETSC_TRUE;
94   ierr         = PetscRandomDestroy(&randObj);CHKERRQ(ierr);
95   PetscFunctionReturn(0);
96 }
97 
98 #undef __FUNCT__
99 #define __FUNCT__ "MatFactorGetError"
100 /*@
101    MatFactorGetError - gets the error code from a factorization
102 
103    Logically Collective on Mat
104 
105    Input Parameters:
106 .  mat - the factored matrix
107 
108    Output Parameter:
109 .  err  - the error code
110 
111    Level: advanced
112 
113 .seealso: MatZeroEntries(), MatFactor(), MatGetFactor(), MatFactorSymbolic(), MatFactorClearError()
114 @*/
115 PetscErrorCode MatFactorGetError(Mat mat,MatFactorError *err)
116 {
117   PetscFunctionBegin;
118   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
119   *err = mat->errortype;
120   PetscFunctionReturn(0);
121 }
122 
123 #undef __FUNCT__
124 #define __FUNCT__ "MatFactorClearError"
125 /*@
126    MatFactorClearError - clears the error code in a factorization
127 
128    Logically Collective on Mat
129 
130    Input Parameter:
131 .  mat - the factored matrix
132 
133    Level: advanced
134 
135 .seealso: MatZeroEntries(), MatFactor(), MatGetFactor(), MatFactorSymbolic(), MatFactorGetError()
136 @*/
137 PetscErrorCode MatFactorClearError(Mat mat)
138 {
139   PetscFunctionBegin;
140   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
141   mat->errortype = MAT_FACTOR_NOERROR;
142   PetscFunctionReturn(0);
143 }
144 
145 
146 #undef __FUNCT__
147 #define __FUNCT__ "MatFindNonzeroRows"
148 /*@
149       MatFindNonzeroRows - Locate all rows that are not completely zero in the matrix
150 
151   Input Parameter:
152 .    A  - the matrix
153 
154   Output Parameter:
155 .    keptrows - the rows that are not completely zero
156 
157   Level: intermediate
158 
159  @*/
160 PetscErrorCode MatFindNonzeroRows(Mat mat,IS *keptrows)
161 {
162   PetscErrorCode ierr;
163 
164   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
165   PetscValidType(mat,1);
166   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
167   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
168   if (!mat->ops->findnonzerorows) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Not coded for this matrix type");
169   ierr = (*mat->ops->findnonzerorows)(mat,keptrows);CHKERRQ(ierr);
170   PetscFunctionReturn(0);
171 }
172 
173 #undef __FUNCT__
174 #define __FUNCT__ "MatGetDiagonalBlock"
175 /*@
176    MatGetDiagonalBlock - Returns the part of the matrix associated with the on-process coupling
177 
178    Not Collective
179 
180    Input Parameters:
181 .   A - the matrix
182 
183    Output Parameters:
184 .   a - the diagonal part (which is a SEQUENTIAL matrix)
185 
186    Notes: see the manual page for MatCreateAIJ() for more information on the "diagonal part" of the matrix.
187           Use caution, as the reference count on the returned matrix is not incremented and it is used as
188 	  part of the containing MPI Mat's normal operation.
189 
190    Level: advanced
191 
192 @*/
193 PetscErrorCode MatGetDiagonalBlock(Mat A,Mat *a)
194 {
195   PetscErrorCode ierr;
196 
197   PetscFunctionBegin;
198   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
199   PetscValidType(A,1);
200   PetscValidPointer(a,3);
201   if (A->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
202   if (!A->ops->getdiagonalblock) {
203     PetscMPIInt size;
204     ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);CHKERRQ(ierr);
205     if (size == 1) {
206       *a = A;
207       PetscFunctionReturn(0);
208     } else SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Not coded for this matrix type");
209   }
210   ierr = (*A->ops->getdiagonalblock)(A,a);CHKERRQ(ierr);
211   PetscFunctionReturn(0);
212 }
213 
214 #undef __FUNCT__
215 #define __FUNCT__ "MatGetTrace"
216 /*@
217    MatGetTrace - Gets the trace of a matrix. The sum of the diagonal entries.
218 
219    Collective on Mat
220 
221    Input Parameters:
222 .  mat - the matrix
223 
224    Output Parameter:
225 .   trace - the sum of the diagonal entries
226 
227    Level: advanced
228 
229 @*/
230 PetscErrorCode MatGetTrace(Mat mat,PetscScalar *trace)
231 {
232   PetscErrorCode ierr;
233   Vec            diag;
234 
235   PetscFunctionBegin;
236   ierr = MatCreateVecs(mat,&diag,NULL);CHKERRQ(ierr);
237   ierr = MatGetDiagonal(mat,diag);CHKERRQ(ierr);
238   ierr = VecSum(diag,trace);CHKERRQ(ierr);
239   ierr = VecDestroy(&diag);CHKERRQ(ierr);
240   PetscFunctionReturn(0);
241 }
242 
243 #undef __FUNCT__
244 #define __FUNCT__ "MatRealPart"
245 /*@
246    MatRealPart - Zeros out the imaginary part of the matrix
247 
248    Logically Collective on Mat
249 
250    Input Parameters:
251 .  mat - the matrix
252 
253    Level: advanced
254 
255 
256 .seealso: MatImaginaryPart()
257 @*/
258 PetscErrorCode MatRealPart(Mat mat)
259 {
260   PetscErrorCode ierr;
261 
262   PetscFunctionBegin;
263   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
264   PetscValidType(mat,1);
265   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
266   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
267   if (!mat->ops->realpart) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
268   MatCheckPreallocated(mat,1);
269   ierr = (*mat->ops->realpart)(mat);CHKERRQ(ierr);
270 #if defined(PETSC_HAVE_CUSP)
271   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
272     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
273   }
274 #elif defined(PETSC_HAVE_VIENNACL)
275   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
276     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
277   }
278 #elif defined(PETSC_HAVE_VECCUDA)
279   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
280     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
281   }
282 #endif
283   PetscFunctionReturn(0);
284 }
285 
286 #undef __FUNCT__
287 #define __FUNCT__ "MatGetGhosts"
288 /*@C
289    MatGetGhosts - Get the global index of all ghost nodes defined by the sparse matrix
290 
291    Collective on Mat
292 
293    Input Parameter:
294 .  mat - the matrix
295 
296    Output Parameters:
297 +   nghosts - number of ghosts (note for BAIJ matrices there is one ghost for each block)
298 -   ghosts - the global indices of the ghost points
299 
300    Notes: the nghosts and ghosts are suitable to pass into VecCreateGhost()
301 
302    Level: advanced
303 
304 @*/
305 PetscErrorCode MatGetGhosts(Mat mat,PetscInt *nghosts,const PetscInt *ghosts[])
306 {
307   PetscErrorCode ierr;
308 
309   PetscFunctionBegin;
310   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
311   PetscValidType(mat,1);
312   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
313   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
314   if (!mat->ops->getghosts) {
315     if (nghosts) *nghosts = 0;
316     if (ghosts) *ghosts = 0;
317   } else {
318     ierr = (*mat->ops->getghosts)(mat,nghosts,ghosts);CHKERRQ(ierr);
319   }
320   PetscFunctionReturn(0);
321 }
322 
323 
324 #undef __FUNCT__
325 #define __FUNCT__ "MatImaginaryPart"
326 /*@
327    MatImaginaryPart - Moves the imaginary part of the matrix to the real part and zeros the imaginary part
328 
329    Logically Collective on Mat
330 
331    Input Parameters:
332 .  mat - the matrix
333 
334    Level: advanced
335 
336 
337 .seealso: MatRealPart()
338 @*/
339 PetscErrorCode MatImaginaryPart(Mat mat)
340 {
341   PetscErrorCode ierr;
342 
343   PetscFunctionBegin;
344   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
345   PetscValidType(mat,1);
346   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
347   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
348   if (!mat->ops->imaginarypart) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
349   MatCheckPreallocated(mat,1);
350   ierr = (*mat->ops->imaginarypart)(mat);CHKERRQ(ierr);
351 #if defined(PETSC_HAVE_CUSP)
352   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
353     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
354   }
355 #elif defined(PETSC_HAVE_VIENNACL)
356   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
357     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
358   }
359 #elif defined(PETSC_HAVE_VECCUDA)
360   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
361     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
362   }
363 #endif
364   PetscFunctionReturn(0);
365 }
366 
367 #undef __FUNCT__
368 #define __FUNCT__ "MatMissingDiagonal"
369 /*@
370    MatMissingDiagonal - Determine if sparse matrix is missing a diagonal entry (or block entry for BAIJ matrices)
371 
372    Collective on Mat
373 
374    Input Parameter:
375 .  mat - the matrix
376 
377    Output Parameters:
378 +  missing - is any diagonal missing
379 -  dd - first diagonal entry that is missing (optional)
380 
381    Level: advanced
382 
383 
384 .seealso: MatRealPart()
385 @*/
386 PetscErrorCode MatMissingDiagonal(Mat mat,PetscBool *missing,PetscInt *dd)
387 {
388   PetscErrorCode ierr;
389 
390   PetscFunctionBegin;
391   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
392   PetscValidType(mat,1);
393   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
394   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
395   if (!mat->ops->missingdiagonal) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
396   ierr = (*mat->ops->missingdiagonal)(mat,missing,dd);CHKERRQ(ierr);
397   PetscFunctionReturn(0);
398 }
399 
400 #undef __FUNCT__
401 #define __FUNCT__ "MatGetRow"
402 /*@C
403    MatGetRow - Gets a row of a matrix.  You MUST call MatRestoreRow()
404    for each row that you get to ensure that your application does
405    not bleed memory.
406 
407    Not Collective
408 
409    Input Parameters:
410 +  mat - the matrix
411 -  row - the row to get
412 
413    Output Parameters:
414 +  ncols -  if not NULL, the number of nonzeros in the row
415 .  cols - if not NULL, the column numbers
416 -  vals - if not NULL, the values
417 
418    Notes:
419    This routine is provided for people who need to have direct access
420    to the structure of a matrix.  We hope that we provide enough
421    high-level matrix routines that few users will need it.
422 
423    MatGetRow() always returns 0-based column indices, regardless of
424    whether the internal representation is 0-based (default) or 1-based.
425 
426    For better efficiency, set cols and/or vals to NULL if you do
427    not wish to extract these quantities.
428 
429    The user can only examine the values extracted with MatGetRow();
430    the values cannot be altered.  To change the matrix entries, one
431    must use MatSetValues().
432 
433    You can only have one call to MatGetRow() outstanding for a particular
434    matrix at a time, per processor. MatGetRow() can only obtain rows
435    associated with the given processor, it cannot get rows from the
436    other processors; for that we suggest using MatGetSubMatrices(), then
437    MatGetRow() on the submatrix. The row indix passed to MatGetRows()
438    is in the global number of rows.
439 
440    Fortran Notes:
441    The calling sequence from Fortran is
442 .vb
443    MatGetRow(matrix,row,ncols,cols,values,ierr)
444          Mat     matrix (input)
445          integer row    (input)
446          integer ncols  (output)
447          integer cols(maxcols) (output)
448          double precision (or double complex) values(maxcols) output
449 .ve
450    where maxcols >= maximum nonzeros in any row of the matrix.
451 
452 
453    Caution:
454    Do not try to change the contents of the output arrays (cols and vals).
455    In some cases, this may corrupt the matrix.
456 
457    Level: advanced
458 
459    Concepts: matrices^row access
460 
461 .seealso: MatRestoreRow(), MatSetValues(), MatGetValues(), MatGetSubMatrices(), MatGetDiagonal()
462 @*/
463 PetscErrorCode MatGetRow(Mat mat,PetscInt row,PetscInt *ncols,const PetscInt *cols[],const PetscScalar *vals[])
464 {
465   PetscErrorCode ierr;
466   PetscInt       incols;
467 
468   PetscFunctionBegin;
469   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
470   PetscValidType(mat,1);
471   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
472   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
473   if (!mat->ops->getrow) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
474   MatCheckPreallocated(mat,1);
475   ierr = PetscLogEventBegin(MAT_GetRow,mat,0,0,0);CHKERRQ(ierr);
476   ierr = (*mat->ops->getrow)(mat,row,&incols,(PetscInt**)cols,(PetscScalar**)vals);CHKERRQ(ierr);
477   if (ncols) *ncols = incols;
478   ierr = PetscLogEventEnd(MAT_GetRow,mat,0,0,0);CHKERRQ(ierr);
479   PetscFunctionReturn(0);
480 }
481 
482 #undef __FUNCT__
483 #define __FUNCT__ "MatConjugate"
484 /*@
485    MatConjugate - replaces the matrix values with their complex conjugates
486 
487    Logically Collective on Mat
488 
489    Input Parameters:
490 .  mat - the matrix
491 
492    Level: advanced
493 
494 .seealso:  VecConjugate()
495 @*/
496 PetscErrorCode MatConjugate(Mat mat)
497 {
498 #if defined(PETSC_USE_COMPLEX)
499   PetscErrorCode ierr;
500 
501   PetscFunctionBegin;
502   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
503   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
504   if (!mat->ops->conjugate) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Not provided for this matrix format, send email to petsc-maint@mcs.anl.gov");
505   ierr = (*mat->ops->conjugate)(mat);CHKERRQ(ierr);
506 #if defined(PETSC_HAVE_CUSP)
507   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
508     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
509   }
510 #elif defined(PETSC_HAVE_VIENNACL)
511   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
512     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
513   }
514 #elif defined(PETSC_HAVE_VECCUDA)
515   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
516     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
517   }
518 #endif
519   PetscFunctionReturn(0);
520 #else
521   return 0;
522 #endif
523 }
524 
525 #undef __FUNCT__
526 #define __FUNCT__ "MatRestoreRow"
527 /*@C
528    MatRestoreRow - Frees any temporary space allocated by MatGetRow().
529 
530    Not Collective
531 
532    Input Parameters:
533 +  mat - the matrix
534 .  row - the row to get
535 .  ncols, cols - the number of nonzeros and their columns
536 -  vals - if nonzero the column values
537 
538    Notes:
539    This routine should be called after you have finished examining the entries.
540 
541    This routine zeros out ncols, cols, and vals. This is to prevent accidental
542    us of the array after it has been restored. If you pass NULL, it will
543    not zero the pointers.  Use of cols or vals after MatRestoreRow is invalid.
544 
545    Fortran Notes:
546    The calling sequence from Fortran is
547 .vb
548    MatRestoreRow(matrix,row,ncols,cols,values,ierr)
549       Mat     matrix (input)
550       integer row    (input)
551       integer ncols  (output)
552       integer cols(maxcols) (output)
553       double precision (or double complex) values(maxcols) output
554 .ve
555    Where maxcols >= maximum nonzeros in any row of the matrix.
556 
557    In Fortran MatRestoreRow() MUST be called after MatGetRow()
558    before another call to MatGetRow() can be made.
559 
560    Level: advanced
561 
562 .seealso:  MatGetRow()
563 @*/
564 PetscErrorCode MatRestoreRow(Mat mat,PetscInt row,PetscInt *ncols,const PetscInt *cols[],const PetscScalar *vals[])
565 {
566   PetscErrorCode ierr;
567 
568   PetscFunctionBegin;
569   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
570   if (ncols) PetscValidIntPointer(ncols,3);
571   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
572   if (!mat->ops->restorerow) PetscFunctionReturn(0);
573   ierr = (*mat->ops->restorerow)(mat,row,ncols,(PetscInt **)cols,(PetscScalar **)vals);CHKERRQ(ierr);
574   if (ncols) *ncols = 0;
575   if (cols)  *cols = NULL;
576   if (vals)  *vals = NULL;
577   PetscFunctionReturn(0);
578 }
579 
580 #undef __FUNCT__
581 #define __FUNCT__ "MatGetRowUpperTriangular"
582 /*@
583    MatGetRowUpperTriangular - Sets a flag to enable calls to MatGetRow() for matrix in MATSBAIJ format.
584    You should call MatRestoreRowUpperTriangular() after calling MatGetRow/MatRestoreRow() to disable the flag.
585 
586    Not Collective
587 
588    Input Parameters:
589 +  mat - the matrix
590 
591    Notes:
592    The flag is to ensure that users are aware of MatGetRow() only provides the upper trianglular part of the row for the matrices in MATSBAIJ format.
593 
594    Level: advanced
595 
596    Concepts: matrices^row access
597 
598 .seealso: MatRestoreRowRowUpperTriangular()
599 @*/
600 PetscErrorCode MatGetRowUpperTriangular(Mat mat)
601 {
602   PetscErrorCode ierr;
603 
604   PetscFunctionBegin;
605   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
606   PetscValidType(mat,1);
607   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
608   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
609   if (!mat->ops->getrowuppertriangular) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
610   MatCheckPreallocated(mat,1);
611   ierr = (*mat->ops->getrowuppertriangular)(mat);CHKERRQ(ierr);
612   PetscFunctionReturn(0);
613 }
614 
615 #undef __FUNCT__
616 #define __FUNCT__ "MatRestoreRowUpperTriangular"
617 /*@
618    MatRestoreRowUpperTriangular - Disable calls to MatGetRow() for matrix in MATSBAIJ format.
619 
620    Not Collective
621 
622    Input Parameters:
623 +  mat - the matrix
624 
625    Notes:
626    This routine should be called after you have finished MatGetRow/MatRestoreRow().
627 
628 
629    Level: advanced
630 
631 .seealso:  MatGetRowUpperTriangular()
632 @*/
633 PetscErrorCode MatRestoreRowUpperTriangular(Mat mat)
634 {
635   PetscErrorCode ierr;
636 
637   PetscFunctionBegin;
638   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
639   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
640   if (!mat->ops->restorerowuppertriangular) PetscFunctionReturn(0);
641   ierr = (*mat->ops->restorerowuppertriangular)(mat);CHKERRQ(ierr);
642   PetscFunctionReturn(0);
643 }
644 
645 #undef __FUNCT__
646 #define __FUNCT__ "MatSetOptionsPrefix"
647 /*@C
648    MatSetOptionsPrefix - Sets the prefix used for searching for all
649    Mat options in the database.
650 
651    Logically Collective on Mat
652 
653    Input Parameter:
654 +  A - the Mat context
655 -  prefix - the prefix to prepend to all option names
656 
657    Notes:
658    A hyphen (-) must NOT be given at the beginning of the prefix name.
659    The first character of all runtime options is AUTOMATICALLY the hyphen.
660 
661    Level: advanced
662 
663 .keywords: Mat, set, options, prefix, database
664 
665 .seealso: MatSetFromOptions()
666 @*/
667 PetscErrorCode MatSetOptionsPrefix(Mat A,const char prefix[])
668 {
669   PetscErrorCode ierr;
670 
671   PetscFunctionBegin;
672   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
673   ierr = PetscObjectSetOptionsPrefix((PetscObject)A,prefix);CHKERRQ(ierr);
674   PetscFunctionReturn(0);
675 }
676 
677 #undef __FUNCT__
678 #define __FUNCT__ "MatAppendOptionsPrefix"
679 /*@C
680    MatAppendOptionsPrefix - Appends to the prefix used for searching for all
681    Mat options in the database.
682 
683    Logically Collective on Mat
684 
685    Input Parameters:
686 +  A - the Mat context
687 -  prefix - the prefix to prepend to all option names
688 
689    Notes:
690    A hyphen (-) must NOT be given at the beginning of the prefix name.
691    The first character of all runtime options is AUTOMATICALLY the hyphen.
692 
693    Level: advanced
694 
695 .keywords: Mat, append, options, prefix, database
696 
697 .seealso: MatGetOptionsPrefix()
698 @*/
699 PetscErrorCode MatAppendOptionsPrefix(Mat A,const char prefix[])
700 {
701   PetscErrorCode ierr;
702 
703   PetscFunctionBegin;
704   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
705   ierr = PetscObjectAppendOptionsPrefix((PetscObject)A,prefix);CHKERRQ(ierr);
706   PetscFunctionReturn(0);
707 }
708 
709 #undef __FUNCT__
710 #define __FUNCT__ "MatGetOptionsPrefix"
711 /*@C
712    MatGetOptionsPrefix - Sets the prefix used for searching for all
713    Mat options in the database.
714 
715    Not Collective
716 
717    Input Parameter:
718 .  A - the Mat context
719 
720    Output Parameter:
721 .  prefix - pointer to the prefix string used
722 
723    Notes: On the fortran side, the user should pass in a string 'prefix' of
724    sufficient length to hold the prefix.
725 
726    Level: advanced
727 
728 .keywords: Mat, get, options, prefix, database
729 
730 .seealso: MatAppendOptionsPrefix()
731 @*/
732 PetscErrorCode MatGetOptionsPrefix(Mat A,const char *prefix[])
733 {
734   PetscErrorCode ierr;
735 
736   PetscFunctionBegin;
737   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
738   ierr = PetscObjectGetOptionsPrefix((PetscObject)A,prefix);CHKERRQ(ierr);
739   PetscFunctionReturn(0);
740 }
741 
742 #undef __FUNCT__
743 #define __FUNCT__ "MatSetUp"
744 /*@
745    MatSetUp - Sets up the internal matrix data structures for the later use.
746 
747    Collective on Mat
748 
749    Input Parameters:
750 .  A - the Mat context
751 
752    Notes:
753    If the user has not set preallocation for this matrix then a default preallocation that is likely to be inefficient is used.
754 
755    If a suitable preallocation routine is used, this function does not need to be called.
756 
757    See the Performance chapter of the PETSc users manual for how to preallocate matrices
758 
759    Level: beginner
760 
761 .keywords: Mat, setup
762 
763 .seealso: MatCreate(), MatDestroy()
764 @*/
765 PetscErrorCode MatSetUp(Mat A)
766 {
767   PetscMPIInt    size;
768   PetscErrorCode ierr;
769 
770   PetscFunctionBegin;
771   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
772   if (!((PetscObject)A)->type_name) {
773     ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A), &size);CHKERRQ(ierr);
774     if (size == 1) {
775       ierr = MatSetType(A, MATSEQAIJ);CHKERRQ(ierr);
776     } else {
777       ierr = MatSetType(A, MATMPIAIJ);CHKERRQ(ierr);
778     }
779   }
780   if (!A->preallocated && A->ops->setup) {
781     ierr = PetscInfo(A,"Warning not preallocating matrix storage\n");CHKERRQ(ierr);
782     ierr = (*A->ops->setup)(A);CHKERRQ(ierr);
783   }
784   if (A->rmap->n < 0 || A->rmap->N < 0) {
785     ierr = PetscLayoutSetUp(A->rmap);CHKERRQ(ierr);
786   }
787   if (A->cmap->n < 0 || A->cmap->N < 0) {
788     ierr = PetscLayoutSetUp(A->cmap);CHKERRQ(ierr);
789   }
790   A->preallocated = PETSC_TRUE;
791   PetscFunctionReturn(0);
792 }
793 
794 #if defined(PETSC_HAVE_SAWS)
795 #include <petscviewersaws.h>
796 #endif
797 #undef __FUNCT__
798 #define __FUNCT__ "MatView"
799 /*@C
800    MatView - Visualizes a matrix object.
801 
802    Collective on Mat
803 
804    Input Parameters:
805 +  mat - the matrix
806 -  viewer - visualization context
807 
808   Notes:
809   The available visualization contexts include
810 +    PETSC_VIEWER_STDOUT_SELF - for sequential matrices
811 .    PETSC_VIEWER_STDOUT_WORLD - for parallel matrices created on PETSC_COMM_WORLD
812 .    PETSC_VIEWER_STDOUT_(comm) - for matrices created on MPI communicator comm
813 -     PETSC_VIEWER_DRAW_WORLD - graphical display of nonzero structure
814 
815    The user can open alternative visualization contexts with
816 +    PetscViewerASCIIOpen() - Outputs matrix to a specified file
817 .    PetscViewerBinaryOpen() - Outputs matrix in binary to a
818          specified file; corresponding input uses MatLoad()
819 .    PetscViewerDrawOpen() - Outputs nonzero matrix structure to
820          an X window display
821 -    PetscViewerSocketOpen() - Outputs matrix to Socket viewer.
822          Currently only the sequential dense and AIJ
823          matrix types support the Socket viewer.
824 
825    The user can call PetscViewerPushFormat() to specify the output
826    format of ASCII printed objects (when using PETSC_VIEWER_STDOUT_SELF,
827    PETSC_VIEWER_STDOUT_WORLD and PetscViewerASCIIOpen).  Available formats include
828 +    PETSC_VIEWER_DEFAULT - default, prints matrix contents
829 .    PETSC_VIEWER_ASCII_MATLAB - prints matrix contents in Matlab format
830 .    PETSC_VIEWER_ASCII_DENSE - prints entire matrix including zeros
831 .    PETSC_VIEWER_ASCII_COMMON - prints matrix contents, using a sparse
832          format common among all matrix types
833 .    PETSC_VIEWER_ASCII_IMPL - prints matrix contents, using an implementation-specific
834          format (which is in many cases the same as the default)
835 .    PETSC_VIEWER_ASCII_INFO - prints basic information about the matrix
836          size and structure (not the matrix entries)
837 .    PETSC_VIEWER_ASCII_INFO_DETAIL - prints more detailed information about
838          the matrix structure
839 
840    Options Database Keys:
841 +  -mat_view ::ascii_info - Prints info on matrix at conclusion of MatEndAssembly()
842 .  -mat_view ::ascii_info_detail - Prints more detailed info
843 .  -mat_view - Prints matrix in ASCII format
844 .  -mat_view ::ascii_matlab - Prints matrix in Matlab format
845 .  -mat_view draw - PetscDraws nonzero structure of matrix, using MatView() and PetscDrawOpenX().
846 .  -display <name> - Sets display name (default is host)
847 .  -draw_pause <sec> - Sets number of seconds to pause after display
848 .  -mat_view socket - Sends matrix to socket, can be accessed from Matlab (see Users-Manual: ch_matlab for details)
849 .  -viewer_socket_machine <machine> -
850 .  -viewer_socket_port <port> -
851 .  -mat_view binary - save matrix to file in binary format
852 -  -viewer_binary_filename <name> -
853    Level: beginner
854 
855    Notes: see the manual page for MatLoad() for the exact format of the binary file when the binary
856       viewer is used.
857 
858       See share/petsc/matlab/PetscBinaryRead.m for a Matlab code that can read in the binary file when the binary
859       viewer is used.
860 
861       One can use '-mat_view draw -draw_pause -1' to pause the graphical display of matrix nonzero structure.
862       And then use the following mouse functions:
863           left mouse: zoom in
864           middle mouse: zoom out
865           right mouse: continue with the simulation
866 
867    Concepts: matrices^viewing
868    Concepts: matrices^plotting
869    Concepts: matrices^printing
870 
871 .seealso: PetscViewerPushFormat(), PetscViewerASCIIOpen(), PetscViewerDrawOpen(),
872           PetscViewerSocketOpen(), PetscViewerBinaryOpen(), MatLoad()
873 @*/
874 PetscErrorCode MatView(Mat mat,PetscViewer viewer)
875 {
876   PetscErrorCode    ierr;
877   PetscInt          rows,cols,rbs,cbs;
878   PetscBool         iascii,ibinary;
879   PetscViewerFormat format;
880 #if defined(PETSC_HAVE_SAWS)
881   PetscBool         issaws;
882 #endif
883 
884   PetscFunctionBegin;
885   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
886   PetscValidType(mat,1);
887   if (!viewer) {
888     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)mat),&viewer);CHKERRQ(ierr);
889   }
890   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
891   PetscCheckSameComm(mat,1,viewer,2);
892   MatCheckPreallocated(mat,1);
893   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&ibinary);CHKERRQ(ierr);
894   if (ibinary) {
895     PetscBool mpiio;
896     ierr = PetscViewerBinaryGetUseMPIIO(viewer,&mpiio);CHKERRQ(ierr);
897     if (mpiio) SETERRQ(PetscObjectComm((PetscObject)viewer),PETSC_ERR_SUP,"PETSc matrix viewers do not support using MPI-IO, turn off that flag");
898   }
899 
900   ierr = PetscLogEventBegin(MAT_View,mat,viewer,0,0);CHKERRQ(ierr);
901   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
902   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
903   if ((!iascii || (format != PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL)) && mat->factortype) {
904     SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"No viewers for factored matrix except ASCII info or info_detailed");
905   }
906 
907 #if defined(PETSC_HAVE_SAWS)
908   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSAWS,&issaws);CHKERRQ(ierr);
909 #endif
910   if (iascii) {
911     if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ORDER,"Must call MatAssemblyBegin/End() before viewing matrix");
912     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)mat,viewer);CHKERRQ(ierr);
913     if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
914       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
915       ierr = MatGetSize(mat,&rows,&cols);CHKERRQ(ierr);
916       ierr = MatGetBlockSizes(mat,&rbs,&cbs);CHKERRQ(ierr);
917       if (rbs != 1 || cbs != 1) {
918         if (rbs != cbs) {ierr = PetscViewerASCIIPrintf(viewer,"rows=%D, cols=%D, rbs=%D, cbs = %D\n",rows,cols,rbs,cbs);CHKERRQ(ierr);}
919         else            {ierr = PetscViewerASCIIPrintf(viewer,"rows=%D, cols=%D, bs=%D\n",rows,cols,rbs);CHKERRQ(ierr);}
920       } else {
921         ierr = PetscViewerASCIIPrintf(viewer,"rows=%D, cols=%D\n",rows,cols);CHKERRQ(ierr);
922       }
923       if (mat->factortype) {
924         const MatSolverPackage solver;
925         ierr = MatFactorGetSolverPackage(mat,&solver);CHKERRQ(ierr);
926         ierr = PetscViewerASCIIPrintf(viewer,"package used to perform factorization: %s\n",solver);CHKERRQ(ierr);
927       }
928       if (mat->ops->getinfo) {
929         MatInfo info;
930         ierr = MatGetInfo(mat,MAT_GLOBAL_SUM,&info);CHKERRQ(ierr);
931         ierr = PetscViewerASCIIPrintf(viewer,"total: nonzeros=%.f, allocated nonzeros=%.f\n",info.nz_used,info.nz_allocated);CHKERRQ(ierr);
932         ierr = PetscViewerASCIIPrintf(viewer,"total number of mallocs used during MatSetValues calls =%D\n",(PetscInt)info.mallocs);CHKERRQ(ierr);
933       }
934       if (mat->nullsp) {ierr = PetscViewerASCIIPrintf(viewer,"  has attached null space\n");CHKERRQ(ierr);}
935       if (mat->nearnullsp) {ierr = PetscViewerASCIIPrintf(viewer,"  has attached near null space\n");CHKERRQ(ierr);}
936     }
937 #if defined(PETSC_HAVE_SAWS)
938   } else if (issaws) {
939     PetscMPIInt rank;
940 
941     ierr = PetscObjectName((PetscObject)mat);CHKERRQ(ierr);
942     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
943     if (!((PetscObject)mat)->amsmem && !rank) {
944       ierr = PetscObjectViewSAWs((PetscObject)mat,viewer);CHKERRQ(ierr);
945     }
946 #endif
947   }
948   if (mat->ops->view) {
949     ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
950     ierr = (*mat->ops->view)(mat,viewer);CHKERRQ(ierr);
951     ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
952   }
953   if (iascii) {
954     if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ORDER,"Must call MatAssemblyBegin/End() before viewing matrix");
955     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
956     if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
957       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
958     }
959   }
960   ierr = PetscLogEventEnd(MAT_View,mat,viewer,0,0);CHKERRQ(ierr);
961   PetscFunctionReturn(0);
962 }
963 
964 #if defined(PETSC_USE_DEBUG)
965 #include <../src/sys/totalview/tv_data_display.h>
966 PETSC_UNUSED static int TV_display_type(const struct _p_Mat *mat)
967 {
968   TV_add_row("Local rows", "int", &mat->rmap->n);
969   TV_add_row("Local columns", "int", &mat->cmap->n);
970   TV_add_row("Global rows", "int", &mat->rmap->N);
971   TV_add_row("Global columns", "int", &mat->cmap->N);
972   TV_add_row("Typename", TV_ascii_string_type, ((PetscObject)mat)->type_name);
973   return TV_format_OK;
974 }
975 #endif
976 
977 #undef __FUNCT__
978 #define __FUNCT__ "MatLoad"
979 /*@C
980    MatLoad - Loads a matrix that has been stored in binary format
981    with MatView().  The matrix format is determined from the options database.
982    Generates a parallel MPI matrix if the communicator has more than one
983    processor.  The default matrix type is AIJ.
984 
985    Collective on PetscViewer
986 
987    Input Parameters:
988 +  newmat - the newly loaded matrix, this needs to have been created with MatCreate()
989             or some related function before a call to MatLoad()
990 -  viewer - binary file viewer, created with PetscViewerBinaryOpen()
991 
992    Options Database Keys:
993    Used with block matrix formats (MATSEQBAIJ,  ...) to specify
994    block size
995 .    -matload_block_size <bs>
996 
997    Level: beginner
998 
999    Notes:
1000    If the Mat type has not yet been given then MATAIJ is used, call MatSetFromOptions() on the
1001    Mat before calling this routine if you wish to set it from the options database.
1002 
1003    MatLoad() automatically loads into the options database any options
1004    given in the file filename.info where filename is the name of the file
1005    that was passed to the PetscViewerBinaryOpen(). The options in the info
1006    file will be ignored if you use the -viewer_binary_skip_info option.
1007 
1008    If the type or size of newmat is not set before a call to MatLoad, PETSc
1009    sets the default matrix type AIJ and sets the local and global sizes.
1010    If type and/or size is already set, then the same are used.
1011 
1012    In parallel, each processor can load a subset of rows (or the
1013    entire matrix).  This routine is especially useful when a large
1014    matrix is stored on disk and only part of it is desired on each
1015    processor.  For example, a parallel solver may access only some of
1016    the rows from each processor.  The algorithm used here reads
1017    relatively small blocks of data rather than reading the entire
1018    matrix and then subsetting it.
1019 
1020    Notes for advanced users:
1021    Most users should not need to know the details of the binary storage
1022    format, since MatLoad() and MatView() completely hide these details.
1023    But for anyone who's interested, the standard binary matrix storage
1024    format is
1025 
1026 $    int    MAT_FILE_CLASSID
1027 $    int    number of rows
1028 $    int    number of columns
1029 $    int    total number of nonzeros
1030 $    int    *number nonzeros in each row
1031 $    int    *column indices of all nonzeros (starting index is zero)
1032 $    PetscScalar *values of all nonzeros
1033 
1034    PETSc automatically does the byte swapping for
1035 machines that store the bytes reversed, e.g.  DEC alpha, freebsd,
1036 linux, Windows and the paragon; thus if you write your own binary
1037 read/write routines you have to swap the bytes; see PetscBinaryRead()
1038 and PetscBinaryWrite() to see how this may be done.
1039 
1040 .keywords: matrix, load, binary, input
1041 
1042 .seealso: PetscViewerBinaryOpen(), MatView(), VecLoad()
1043 
1044  @*/
1045 PetscErrorCode MatLoad(Mat newmat,PetscViewer viewer)
1046 {
1047   PetscErrorCode ierr;
1048   PetscBool      isbinary,flg;
1049 
1050   PetscFunctionBegin;
1051   PetscValidHeaderSpecific(newmat,MAT_CLASSID,1);
1052   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1053   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1054   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1055 
1056   if (!((PetscObject)newmat)->type_name) {
1057     ierr = MatSetType(newmat,MATAIJ);CHKERRQ(ierr);
1058   }
1059 
1060   if (!newmat->ops->load) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatLoad is not supported for type");
1061   ierr = PetscLogEventBegin(MAT_Load,viewer,0,0,0);CHKERRQ(ierr);
1062   ierr = (*newmat->ops->load)(newmat,viewer);CHKERRQ(ierr);
1063   ierr = PetscLogEventEnd(MAT_Load,viewer,0,0,0);CHKERRQ(ierr);
1064 
1065   flg  = PETSC_FALSE;
1066   ierr = PetscOptionsGetBool(((PetscObject)newmat)->options,((PetscObject)newmat)->prefix,"-matload_symmetric",&flg,NULL);CHKERRQ(ierr);
1067   if (flg) {
1068     ierr = MatSetOption(newmat,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
1069     ierr = MatSetOption(newmat,MAT_SYMMETRY_ETERNAL,PETSC_TRUE);CHKERRQ(ierr);
1070   }
1071   flg  = PETSC_FALSE;
1072   ierr = PetscOptionsGetBool(((PetscObject)newmat)->options,((PetscObject)newmat)->prefix,"-matload_spd",&flg,NULL);CHKERRQ(ierr);
1073   if (flg) {
1074     ierr = MatSetOption(newmat,MAT_SPD,PETSC_TRUE);CHKERRQ(ierr);
1075   }
1076   PetscFunctionReturn(0);
1077 }
1078 
1079 #undef __FUNCT__
1080 #define __FUNCT__ "MatDestroy_Redundant"
1081 PetscErrorCode MatDestroy_Redundant(Mat_Redundant **redundant)
1082 {
1083   PetscErrorCode ierr;
1084   Mat_Redundant  *redund = *redundant;
1085   PetscInt       i;
1086 
1087   PetscFunctionBegin;
1088   if (redund){
1089     if (redund->matseq) { /* via MatGetSubMatrices()  */
1090       ierr = ISDestroy(&redund->isrow);CHKERRQ(ierr);
1091       ierr = ISDestroy(&redund->iscol);CHKERRQ(ierr);
1092       ierr = MatDestroy(&redund->matseq[0]);CHKERRQ(ierr);
1093       ierr = PetscFree(redund->matseq);CHKERRQ(ierr);
1094     } else {
1095       ierr = PetscFree2(redund->send_rank,redund->recv_rank);CHKERRQ(ierr);
1096       ierr = PetscFree(redund->sbuf_j);CHKERRQ(ierr);
1097       ierr = PetscFree(redund->sbuf_a);CHKERRQ(ierr);
1098       for (i=0; i<redund->nrecvs; i++) {
1099         ierr = PetscFree(redund->rbuf_j[i]);CHKERRQ(ierr);
1100         ierr = PetscFree(redund->rbuf_a[i]);CHKERRQ(ierr);
1101       }
1102       ierr = PetscFree4(redund->sbuf_nz,redund->rbuf_nz,redund->rbuf_j,redund->rbuf_a);CHKERRQ(ierr);
1103     }
1104 
1105     if (redund->subcomm) {
1106       ierr = PetscCommDestroy(&redund->subcomm);CHKERRQ(ierr);
1107     }
1108     ierr = PetscFree(redund);CHKERRQ(ierr);
1109   }
1110   PetscFunctionReturn(0);
1111 }
1112 
1113 #undef __FUNCT__
1114 #define __FUNCT__ "MatDestroy"
1115 /*@
1116    MatDestroy - Frees space taken by a matrix.
1117 
1118    Collective on Mat
1119 
1120    Input Parameter:
1121 .  A - the matrix
1122 
1123    Level: beginner
1124 
1125 @*/
1126 PetscErrorCode MatDestroy(Mat *A)
1127 {
1128   PetscErrorCode ierr;
1129 
1130   PetscFunctionBegin;
1131   if (!*A) PetscFunctionReturn(0);
1132   PetscValidHeaderSpecific(*A,MAT_CLASSID,1);
1133   if (--((PetscObject)(*A))->refct > 0) {*A = NULL; PetscFunctionReturn(0);}
1134 
1135   /* if memory was published with SAWs then destroy it */
1136   ierr = PetscObjectSAWsViewOff((PetscObject)*A);CHKERRQ(ierr);
1137   if ((*A)->ops->destroy) {
1138     ierr = (*(*A)->ops->destroy)(*A);CHKERRQ(ierr);
1139   }
1140 
1141   ierr = PetscFree((*A)->solvertype);CHKERRQ(ierr);
1142   ierr = MatDestroy_Redundant(&(*A)->redundant);CHKERRQ(ierr);
1143   ierr = MatNullSpaceDestroy(&(*A)->nullsp);CHKERRQ(ierr);
1144   ierr = MatNullSpaceDestroy(&(*A)->transnullsp);CHKERRQ(ierr);
1145   ierr = MatNullSpaceDestroy(&(*A)->nearnullsp);CHKERRQ(ierr);
1146   ierr = PetscLayoutDestroy(&(*A)->rmap);CHKERRQ(ierr);
1147   ierr = PetscLayoutDestroy(&(*A)->cmap);CHKERRQ(ierr);
1148   ierr = PetscHeaderDestroy(A);CHKERRQ(ierr);
1149   PetscFunctionReturn(0);
1150 }
1151 
1152 #undef __FUNCT__
1153 #define __FUNCT__ "MatSetValues"
1154 /*@
1155    MatSetValues - Inserts or adds a block of values into a matrix.
1156    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
1157    MUST be called after all calls to MatSetValues() have been completed.
1158 
1159    Not Collective
1160 
1161    Input Parameters:
1162 +  mat - the matrix
1163 .  v - a logically two-dimensional array of values
1164 .  m, idxm - the number of rows and their global indices
1165 .  n, idxn - the number of columns and their global indices
1166 -  addv - either ADD_VALUES or INSERT_VALUES, where
1167    ADD_VALUES adds values to any existing entries, and
1168    INSERT_VALUES replaces existing entries with new values
1169 
1170    Notes:
1171    If you create the matrix yourself (that is not with a call to DMCreateMatrix()) then you MUST call MatXXXXSetPreallocation() or
1172       MatSetUp() before using this routine
1173 
1174    By default the values, v, are row-oriented. See MatSetOption() for other options.
1175 
1176    Calls to MatSetValues() with the INSERT_VALUES and ADD_VALUES
1177    options cannot be mixed without intervening calls to the assembly
1178    routines.
1179 
1180    MatSetValues() uses 0-based row and column numbers in Fortran
1181    as well as in C.
1182 
1183    Negative indices may be passed in idxm and idxn, these rows and columns are
1184    simply ignored. This allows easily inserting element stiffness matrices
1185    with homogeneous Dirchlet boundary conditions that you don't want represented
1186    in the matrix.
1187 
1188    Efficiency Alert:
1189    The routine MatSetValuesBlocked() may offer much better efficiency
1190    for users of block sparse formats (MATSEQBAIJ and MATMPIBAIJ).
1191 
1192    Level: beginner
1193 
1194    Concepts: matrices^putting entries in
1195 
1196 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
1197           InsertMode, INSERT_VALUES, ADD_VALUES
1198 @*/
1199 PetscErrorCode MatSetValues(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],const PetscScalar v[],InsertMode addv)
1200 {
1201   PetscErrorCode ierr;
1202 #if defined(PETSC_USE_DEBUG)
1203   PetscInt       i,j;
1204 #endif
1205 
1206   PetscFunctionBeginHot;
1207   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
1208   PetscValidType(mat,1);
1209   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1210   PetscValidIntPointer(idxm,3);
1211   PetscValidIntPointer(idxn,5);
1212   PetscValidScalarPointer(v,6);
1213   MatCheckPreallocated(mat,1);
1214   if (mat->insertmode == NOT_SET_VALUES) {
1215     mat->insertmode = addv;
1216   }
1217 #if defined(PETSC_USE_DEBUG)
1218   else if (mat->insertmode != addv) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1219   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1220   if (!mat->ops->setvalues) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
1221 
1222   for (i=0; i<m; i++) {
1223     for (j=0; j<n; j++) {
1224       if (mat->erroriffailure && PetscIsInfOrNanScalar(v[i*n+j]))
1225 #if defined(PETSC_USE_COMPLEX)
1226         SETERRQ4(PETSC_COMM_SELF,PETSC_ERR_FP,"Inserting %g+ig at matrix entry (%D,%D)",(double)PetscRealPart(v[i*n+j]),(double)PetscImaginaryPart(v[i*n+j]),idxm[i],idxn[j]);
1227 #else
1228         SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_FP,"Inserting %g at matrix entry (%D,%D)",(double)v[i*n+j],idxm[i],idxn[j]);
1229 #endif
1230     }
1231   }
1232 #endif
1233 
1234   if (mat->assembled) {
1235     mat->was_assembled = PETSC_TRUE;
1236     mat->assembled     = PETSC_FALSE;
1237   }
1238   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1239   ierr = (*mat->ops->setvalues)(mat,m,idxm,n,idxn,v,addv);CHKERRQ(ierr);
1240   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1241 #if defined(PETSC_HAVE_CUSP)
1242   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
1243     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
1244   }
1245 #elif defined(PETSC_HAVE_VIENNACL)
1246   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
1247     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
1248   }
1249 #elif defined(PETSC_HAVE_VECCUDA)
1250   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
1251     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
1252   }
1253 #endif
1254   PetscFunctionReturn(0);
1255 }
1256 
1257 
1258 #undef __FUNCT__
1259 #define __FUNCT__ "MatSetValuesRowLocal"
1260 /*@
1261    MatSetValuesRowLocal - Inserts a row (block row for BAIJ matrices) of nonzero
1262         values into a matrix
1263 
1264    Not Collective
1265 
1266    Input Parameters:
1267 +  mat - the matrix
1268 .  row - the (block) row to set
1269 -  v - a logically two-dimensional array of values
1270 
1271    Notes:
1272    By the values, v, are column-oriented (for the block version) and sorted
1273 
1274    All the nonzeros in the row must be provided
1275 
1276    The matrix must have previously had its column indices set
1277 
1278    The row must belong to this process
1279 
1280    Level: intermediate
1281 
1282    Concepts: matrices^putting entries in
1283 
1284 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
1285           InsertMode, INSERT_VALUES, ADD_VALUES, MatSetValues(), MatSetValuesRow(), MatSetLocalToGlobalMapping()
1286 @*/
1287 PetscErrorCode MatSetValuesRowLocal(Mat mat,PetscInt row,const PetscScalar v[])
1288 {
1289   PetscErrorCode ierr;
1290   PetscInt       globalrow;
1291 
1292   PetscFunctionBegin;
1293   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
1294   PetscValidType(mat,1);
1295   PetscValidScalarPointer(v,2);
1296   ierr = ISLocalToGlobalMappingApply(mat->rmap->mapping,1,&row,&globalrow);CHKERRQ(ierr);
1297   ierr = MatSetValuesRow(mat,globalrow,v);CHKERRQ(ierr);
1298 #if defined(PETSC_HAVE_CUSP)
1299   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
1300     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
1301   }
1302 #elif defined(PETSC_HAVE_VIENNACL)
1303   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
1304     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
1305   }
1306 #elif defined(PETSC_HAVE_VECCUDA)
1307   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
1308     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
1309   }
1310 #endif
1311   PetscFunctionReturn(0);
1312 }
1313 
1314 #undef __FUNCT__
1315 #define __FUNCT__ "MatSetValuesRow"
1316 /*@
1317    MatSetValuesRow - Inserts a row (block row for BAIJ matrices) of nonzero
1318         values into a matrix
1319 
1320    Not Collective
1321 
1322    Input Parameters:
1323 +  mat - the matrix
1324 .  row - the (block) row to set
1325 -  v - a logically two-dimensional array of values
1326 
1327    Notes:
1328    The values, v, are column-oriented for the block version.
1329 
1330    All the nonzeros in the row must be provided
1331 
1332    THE MATRIX MUSAT HAVE PREVIOUSLY HAD ITS COLUMN INDICES SET. IT IS RARE THAT THIS ROUTINE IS USED, usually MatSetValues() is used.
1333 
1334    The row must belong to this process
1335 
1336    Level: advanced
1337 
1338    Concepts: matrices^putting entries in
1339 
1340 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
1341           InsertMode, INSERT_VALUES, ADD_VALUES, MatSetValues()
1342 @*/
1343 PetscErrorCode MatSetValuesRow(Mat mat,PetscInt row,const PetscScalar v[])
1344 {
1345   PetscErrorCode ierr;
1346 
1347   PetscFunctionBeginHot;
1348   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
1349   PetscValidType(mat,1);
1350   MatCheckPreallocated(mat,1);
1351   PetscValidScalarPointer(v,2);
1352 #if defined(PETSC_USE_DEBUG)
1353   if (mat->insertmode == ADD_VALUES) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add and insert values");
1354   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1355 #endif
1356   mat->insertmode = INSERT_VALUES;
1357 
1358   if (mat->assembled) {
1359     mat->was_assembled = PETSC_TRUE;
1360     mat->assembled     = PETSC_FALSE;
1361   }
1362   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1363   if (!mat->ops->setvaluesrow) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
1364   ierr = (*mat->ops->setvaluesrow)(mat,row,v);CHKERRQ(ierr);
1365   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1366 #if defined(PETSC_HAVE_CUSP)
1367   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
1368     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
1369   }
1370 #elif defined(PETSC_HAVE_VIENNACL)
1371   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
1372     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
1373   }
1374 #elif defined(PETSC_HAVE_VECCUDA)
1375   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
1376     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
1377   }
1378 #endif
1379   PetscFunctionReturn(0);
1380 }
1381 
1382 #undef __FUNCT__
1383 #define __FUNCT__ "MatSetValuesStencil"
1384 /*@
1385    MatSetValuesStencil - Inserts or adds a block of values into a matrix.
1386      Using structured grid indexing
1387 
1388    Not Collective
1389 
1390    Input Parameters:
1391 +  mat - the matrix
1392 .  m - number of rows being entered
1393 .  idxm - grid coordinates (and component number when dof > 1) for matrix rows being entered
1394 .  n - number of columns being entered
1395 .  idxn - grid coordinates (and component number when dof > 1) for matrix columns being entered
1396 .  v - a logically two-dimensional array of values
1397 -  addv - either ADD_VALUES or INSERT_VALUES, where
1398    ADD_VALUES adds values to any existing entries, and
1399    INSERT_VALUES replaces existing entries with new values
1400 
1401    Notes:
1402    By default the values, v, are row-oriented.  See MatSetOption() for other options.
1403 
1404    Calls to MatSetValuesStencil() with the INSERT_VALUES and ADD_VALUES
1405    options cannot be mixed without intervening calls to the assembly
1406    routines.
1407 
1408    The grid coordinates are across the entire grid, not just the local portion
1409 
1410    MatSetValuesStencil() uses 0-based row and column numbers in Fortran
1411    as well as in C.
1412 
1413    For setting/accessing vector values via array coordinates you can use the DMDAVecGetArray() routine
1414 
1415    In order to use this routine you must either obtain the matrix with DMCreateMatrix()
1416    or call MatSetLocalToGlobalMapping() and MatSetStencil() first.
1417 
1418    The columns and rows in the stencil passed in MUST be contained within the
1419    ghost region of the given process as set with DMDACreateXXX() or MatSetStencil(). For example,
1420    if you create a DMDA with an overlap of one grid level and on a particular process its first
1421    local nonghost x logical coordinate is 6 (so its first ghost x logical coordinate is 5) the
1422    first i index you can use in your column and row indices in MatSetStencil() is 5.
1423 
1424    In Fortran idxm and idxn should be declared as
1425 $     MatStencil idxm(4,m),idxn(4,n)
1426    and the values inserted using
1427 $    idxm(MatStencil_i,1) = i
1428 $    idxm(MatStencil_j,1) = j
1429 $    idxm(MatStencil_k,1) = k
1430 $    idxm(MatStencil_c,1) = c
1431    etc
1432 
1433    For periodic boundary conditions use negative indices for values to the left (below 0; that are to be
1434    obtained by wrapping values from right edge). For values to the right of the last entry using that index plus one
1435    etc to obtain values that obtained by wrapping the values from the left edge. This does not work for anything but the
1436    DM_BOUNDARY_PERIODIC boundary type.
1437 
1438    For indices that don't mean anything for your case (like the k index when working in 2d) or the c index when you have
1439    a single value per point) you can skip filling those indices.
1440 
1441    Inspired by the structured grid interface to the HYPRE package
1442    (http://www.llnl.gov/CASC/hypre)
1443 
1444    Efficiency Alert:
1445    The routine MatSetValuesBlockedStencil() may offer much better efficiency
1446    for users of block sparse formats (MATSEQBAIJ and MATMPIBAIJ).
1447 
1448    Level: beginner
1449 
1450    Concepts: matrices^putting entries in
1451 
1452 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1453           MatSetValues(), MatSetValuesBlockedStencil(), MatSetStencil(), DMCreateMatrix(), DMDAVecGetArray(), MatStencil
1454 @*/
1455 PetscErrorCode MatSetValuesStencil(Mat mat,PetscInt m,const MatStencil idxm[],PetscInt n,const MatStencil idxn[],const PetscScalar v[],InsertMode addv)
1456 {
1457   PetscErrorCode ierr;
1458   PetscInt       buf[8192],*bufm=0,*bufn=0,*jdxm,*jdxn;
1459   PetscInt       j,i,dim = mat->stencil.dim,*dims = mat->stencil.dims+1,tmp;
1460   PetscInt       *starts = mat->stencil.starts,*dxm = (PetscInt*)idxm,*dxn = (PetscInt*)idxn,sdim = dim - (1 - (PetscInt)mat->stencil.noc);
1461 
1462   PetscFunctionBegin;
1463   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1464   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
1465   PetscValidType(mat,1);
1466   PetscValidIntPointer(idxm,3);
1467   PetscValidIntPointer(idxn,5);
1468   PetscValidScalarPointer(v,6);
1469 
1470   if ((m+n) <= (PetscInt)(sizeof(buf)/sizeof(PetscInt))) {
1471     jdxm = buf; jdxn = buf+m;
1472   } else {
1473     ierr = PetscMalloc2(m,&bufm,n,&bufn);CHKERRQ(ierr);
1474     jdxm = bufm; jdxn = bufn;
1475   }
1476   for (i=0; i<m; i++) {
1477     for (j=0; j<3-sdim; j++) dxm++;
1478     tmp = *dxm++ - starts[0];
1479     for (j=0; j<dim-1; j++) {
1480       if ((*dxm++ - starts[j+1]) < 0 || tmp < 0) tmp = -1;
1481       else                                       tmp = tmp*dims[j] + *(dxm-1) - starts[j+1];
1482     }
1483     if (mat->stencil.noc) dxm++;
1484     jdxm[i] = tmp;
1485   }
1486   for (i=0; i<n; i++) {
1487     for (j=0; j<3-sdim; j++) dxn++;
1488     tmp = *dxn++ - starts[0];
1489     for (j=0; j<dim-1; j++) {
1490       if ((*dxn++ - starts[j+1]) < 0 || tmp < 0) tmp = -1;
1491       else                                       tmp = tmp*dims[j] + *(dxn-1) - starts[j+1];
1492     }
1493     if (mat->stencil.noc) dxn++;
1494     jdxn[i] = tmp;
1495   }
1496   ierr = MatSetValuesLocal(mat,m,jdxm,n,jdxn,v,addv);CHKERRQ(ierr);
1497   ierr = PetscFree2(bufm,bufn);CHKERRQ(ierr);
1498   PetscFunctionReturn(0);
1499 }
1500 
1501 #undef __FUNCT__
1502 #define __FUNCT__ "MatSetValuesBlockedStencil"
1503 /*@
1504    MatSetValuesBlockedStencil - Inserts or adds a block of values into a matrix.
1505      Using structured grid indexing
1506 
1507    Not Collective
1508 
1509    Input Parameters:
1510 +  mat - the matrix
1511 .  m - number of rows being entered
1512 .  idxm - grid coordinates for matrix rows being entered
1513 .  n - number of columns being entered
1514 .  idxn - grid coordinates for matrix columns being entered
1515 .  v - a logically two-dimensional array of values
1516 -  addv - either ADD_VALUES or INSERT_VALUES, where
1517    ADD_VALUES adds values to any existing entries, and
1518    INSERT_VALUES replaces existing entries with new values
1519 
1520    Notes:
1521    By default the values, v, are row-oriented and unsorted.
1522    See MatSetOption() for other options.
1523 
1524    Calls to MatSetValuesBlockedStencil() with the INSERT_VALUES and ADD_VALUES
1525    options cannot be mixed without intervening calls to the assembly
1526    routines.
1527 
1528    The grid coordinates are across the entire grid, not just the local portion
1529 
1530    MatSetValuesBlockedStencil() uses 0-based row and column numbers in Fortran
1531    as well as in C.
1532 
1533    For setting/accessing vector values via array coordinates you can use the DMDAVecGetArray() routine
1534 
1535    In order to use this routine you must either obtain the matrix with DMCreateMatrix()
1536    or call MatSetBlockSize(), MatSetLocalToGlobalMapping() and MatSetStencil() first.
1537 
1538    The columns and rows in the stencil passed in MUST be contained within the
1539    ghost region of the given process as set with DMDACreateXXX() or MatSetStencil(). For example,
1540    if you create a DMDA with an overlap of one grid level and on a particular process its first
1541    local nonghost x logical coordinate is 6 (so its first ghost x logical coordinate is 5) the
1542    first i index you can use in your column and row indices in MatSetStencil() is 5.
1543 
1544    In Fortran idxm and idxn should be declared as
1545 $     MatStencil idxm(4,m),idxn(4,n)
1546    and the values inserted using
1547 $    idxm(MatStencil_i,1) = i
1548 $    idxm(MatStencil_j,1) = j
1549 $    idxm(MatStencil_k,1) = k
1550    etc
1551 
1552    Negative indices may be passed in idxm and idxn, these rows and columns are
1553    simply ignored. This allows easily inserting element stiffness matrices
1554    with homogeneous Dirchlet boundary conditions that you don't want represented
1555    in the matrix.
1556 
1557    Inspired by the structured grid interface to the HYPRE package
1558    (http://www.llnl.gov/CASC/hypre)
1559 
1560    Level: beginner
1561 
1562    Concepts: matrices^putting entries in
1563 
1564 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1565           MatSetValues(), MatSetValuesStencil(), MatSetStencil(), DMCreateMatrix(), DMDAVecGetArray(), MatStencil,
1566           MatSetBlockSize(), MatSetLocalToGlobalMapping()
1567 @*/
1568 PetscErrorCode MatSetValuesBlockedStencil(Mat mat,PetscInt m,const MatStencil idxm[],PetscInt n,const MatStencil idxn[],const PetscScalar v[],InsertMode addv)
1569 {
1570   PetscErrorCode ierr;
1571   PetscInt       buf[8192],*bufm=0,*bufn=0,*jdxm,*jdxn;
1572   PetscInt       j,i,dim = mat->stencil.dim,*dims = mat->stencil.dims+1,tmp;
1573   PetscInt       *starts = mat->stencil.starts,*dxm = (PetscInt*)idxm,*dxn = (PetscInt*)idxn,sdim = dim - (1 - (PetscInt)mat->stencil.noc);
1574 
1575   PetscFunctionBegin;
1576   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1577   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
1578   PetscValidType(mat,1);
1579   PetscValidIntPointer(idxm,3);
1580   PetscValidIntPointer(idxn,5);
1581   PetscValidScalarPointer(v,6);
1582 
1583   if ((m+n) <= (PetscInt)(sizeof(buf)/sizeof(PetscInt))) {
1584     jdxm = buf; jdxn = buf+m;
1585   } else {
1586     ierr = PetscMalloc2(m,&bufm,n,&bufn);CHKERRQ(ierr);
1587     jdxm = bufm; jdxn = bufn;
1588   }
1589   for (i=0; i<m; i++) {
1590     for (j=0; j<3-sdim; j++) dxm++;
1591     tmp = *dxm++ - starts[0];
1592     for (j=0; j<sdim-1; j++) {
1593       if ((*dxm++ - starts[j+1]) < 0 || tmp < 0) tmp = -1;
1594       else                                       tmp = tmp*dims[j] + *(dxm-1) - starts[j+1];
1595     }
1596     dxm++;
1597     jdxm[i] = tmp;
1598   }
1599   for (i=0; i<n; i++) {
1600     for (j=0; j<3-sdim; j++) dxn++;
1601     tmp = *dxn++ - starts[0];
1602     for (j=0; j<sdim-1; j++) {
1603       if ((*dxn++ - starts[j+1]) < 0 || tmp < 0) tmp = -1;
1604       else                                       tmp = tmp*dims[j] + *(dxn-1) - starts[j+1];
1605     }
1606     dxn++;
1607     jdxn[i] = tmp;
1608   }
1609   ierr = MatSetValuesBlockedLocal(mat,m,jdxm,n,jdxn,v,addv);CHKERRQ(ierr);
1610   ierr = PetscFree2(bufm,bufn);CHKERRQ(ierr);
1611 #if defined(PETSC_HAVE_CUSP)
1612   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
1613     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
1614   }
1615 #elif defined(PETSC_HAVE_VIENNACL)
1616   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
1617     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
1618   }
1619 #elif defined(PETSC_HAVE_VECCUDA)
1620   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
1621     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
1622   }
1623 #endif
1624   PetscFunctionReturn(0);
1625 }
1626 
1627 #undef __FUNCT__
1628 #define __FUNCT__ "MatSetStencil"
1629 /*@
1630    MatSetStencil - Sets the grid information for setting values into a matrix via
1631         MatSetValuesStencil()
1632 
1633    Not Collective
1634 
1635    Input Parameters:
1636 +  mat - the matrix
1637 .  dim - dimension of the grid 1, 2, or 3
1638 .  dims - number of grid points in x, y, and z direction, including ghost points on your processor
1639 .  starts - starting point of ghost nodes on your processor in x, y, and z direction
1640 -  dof - number of degrees of freedom per node
1641 
1642 
1643    Inspired by the structured grid interface to the HYPRE package
1644    (www.llnl.gov/CASC/hyper)
1645 
1646    For matrices generated with DMCreateMatrix() this routine is automatically called and so not needed by the
1647    user.
1648 
1649    Level: beginner
1650 
1651    Concepts: matrices^putting entries in
1652 
1653 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1654           MatSetValues(), MatSetValuesBlockedStencil(), MatSetValuesStencil()
1655 @*/
1656 PetscErrorCode MatSetStencil(Mat mat,PetscInt dim,const PetscInt dims[],const PetscInt starts[],PetscInt dof)
1657 {
1658   PetscInt i;
1659 
1660   PetscFunctionBegin;
1661   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
1662   PetscValidIntPointer(dims,3);
1663   PetscValidIntPointer(starts,4);
1664 
1665   mat->stencil.dim = dim + (dof > 1);
1666   for (i=0; i<dim; i++) {
1667     mat->stencil.dims[i]   = dims[dim-i-1];      /* copy the values in backwards */
1668     mat->stencil.starts[i] = starts[dim-i-1];
1669   }
1670   mat->stencil.dims[dim]   = dof;
1671   mat->stencil.starts[dim] = 0;
1672   mat->stencil.noc         = (PetscBool)(dof == 1);
1673   PetscFunctionReturn(0);
1674 }
1675 
1676 #undef __FUNCT__
1677 #define __FUNCT__ "MatSetValuesBlocked"
1678 /*@
1679    MatSetValuesBlocked - Inserts or adds a block of values into a matrix.
1680 
1681    Not Collective
1682 
1683    Input Parameters:
1684 +  mat - the matrix
1685 .  v - a logically two-dimensional array of values
1686 .  m, idxm - the number of block rows and their global block indices
1687 .  n, idxn - the number of block columns and their global block indices
1688 -  addv - either ADD_VALUES or INSERT_VALUES, where
1689    ADD_VALUES adds values to any existing entries, and
1690    INSERT_VALUES replaces existing entries with new values
1691 
1692    Notes:
1693    If you create the matrix yourself (that is not with a call to DMCreateMatrix()) then you MUST call
1694    MatXXXXSetPreallocation() or MatSetUp() before using this routine.
1695 
1696    The m and n count the NUMBER of blocks in the row direction and column direction,
1697    NOT the total number of rows/columns; for example, if the block size is 2 and
1698    you are passing in values for rows 2,3,4,5  then m would be 2 (not 4).
1699    The values in idxm would be 1 2; that is the first index for each block divided by
1700    the block size.
1701 
1702    Note that you must call MatSetBlockSize() when constructing this matrix (before
1703    preallocating it).
1704 
1705    By default the values, v, are row-oriented, so the layout of
1706    v is the same as for MatSetValues(). See MatSetOption() for other options.
1707 
1708    Calls to MatSetValuesBlocked() with the INSERT_VALUES and ADD_VALUES
1709    options cannot be mixed without intervening calls to the assembly
1710    routines.
1711 
1712    MatSetValuesBlocked() uses 0-based row and column numbers in Fortran
1713    as well as in C.
1714 
1715    Negative indices may be passed in idxm and idxn, these rows and columns are
1716    simply ignored. This allows easily inserting element stiffness matrices
1717    with homogeneous Dirchlet boundary conditions that you don't want represented
1718    in the matrix.
1719 
1720    Each time an entry is set within a sparse matrix via MatSetValues(),
1721    internal searching must be done to determine where to place the
1722    data in the matrix storage space.  By instead inserting blocks of
1723    entries via MatSetValuesBlocked(), the overhead of matrix assembly is
1724    reduced.
1725 
1726    Example:
1727 $   Suppose m=n=2 and block size(bs) = 2 The array is
1728 $
1729 $   1  2  | 3  4
1730 $   5  6  | 7  8
1731 $   - - - | - - -
1732 $   9  10 | 11 12
1733 $   13 14 | 15 16
1734 $
1735 $   v[] should be passed in like
1736 $   v[] = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]
1737 $
1738 $  If you are not using row oriented storage of v (that is you called MatSetOption(mat,MAT_ROW_ORIENTED,PETSC_FALSE)) then
1739 $   v[] = [1,5,9,13,2,6,10,14,3,7,11,15,4,8,12,16]
1740 
1741    Level: intermediate
1742 
1743    Concepts: matrices^putting entries in blocked
1744 
1745 .seealso: MatSetBlockSize(), MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesBlockedLocal()
1746 @*/
1747 PetscErrorCode MatSetValuesBlocked(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],const PetscScalar v[],InsertMode addv)
1748 {
1749   PetscErrorCode ierr;
1750 
1751   PetscFunctionBeginHot;
1752   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
1753   PetscValidType(mat,1);
1754   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1755   PetscValidIntPointer(idxm,3);
1756   PetscValidIntPointer(idxn,5);
1757   PetscValidScalarPointer(v,6);
1758   MatCheckPreallocated(mat,1);
1759   if (mat->insertmode == NOT_SET_VALUES) {
1760     mat->insertmode = addv;
1761   }
1762 #if defined(PETSC_USE_DEBUG)
1763   else if (mat->insertmode != addv) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1764   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1765   if (!mat->ops->setvaluesblocked && !mat->ops->setvalues) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
1766 #endif
1767 
1768   if (mat->assembled) {
1769     mat->was_assembled = PETSC_TRUE;
1770     mat->assembled     = PETSC_FALSE;
1771   }
1772   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1773   if (mat->ops->setvaluesblocked) {
1774     ierr = (*mat->ops->setvaluesblocked)(mat,m,idxm,n,idxn,v,addv);CHKERRQ(ierr);
1775   } else {
1776     PetscInt buf[8192],*bufr=0,*bufc=0,*iidxm,*iidxn;
1777     PetscInt i,j,bs,cbs;
1778     ierr = MatGetBlockSizes(mat,&bs,&cbs);CHKERRQ(ierr);
1779     if (m*bs+n*cbs <= (PetscInt)(sizeof(buf)/sizeof(PetscInt))) {
1780       iidxm = buf; iidxn = buf + m*bs;
1781     } else {
1782       ierr  = PetscMalloc2(m*bs,&bufr,n*cbs,&bufc);CHKERRQ(ierr);
1783       iidxm = bufr; iidxn = bufc;
1784     }
1785     for (i=0; i<m; i++) {
1786       for (j=0; j<bs; j++) {
1787         iidxm[i*bs+j] = bs*idxm[i] + j;
1788       }
1789     }
1790     for (i=0; i<n; i++) {
1791       for (j=0; j<cbs; j++) {
1792         iidxn[i*cbs+j] = cbs*idxn[i] + j;
1793       }
1794     }
1795     ierr = MatSetValues(mat,m*bs,iidxm,n*cbs,iidxn,v,addv);CHKERRQ(ierr);
1796     ierr = PetscFree2(bufr,bufc);CHKERRQ(ierr);
1797   }
1798   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1799 #if defined(PETSC_HAVE_CUSP)
1800   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
1801     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
1802   }
1803 #elif defined(PETSC_HAVE_VIENNACL)
1804   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
1805     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
1806   }
1807 #elif defined(PETSC_HAVE_VECCUDA)
1808   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
1809     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
1810   }
1811 #endif
1812   PetscFunctionReturn(0);
1813 }
1814 
1815 #undef __FUNCT__
1816 #define __FUNCT__ "MatGetValues"
1817 /*@
1818    MatGetValues - Gets a block of values from a matrix.
1819 
1820    Not Collective; currently only returns a local block
1821 
1822    Input Parameters:
1823 +  mat - the matrix
1824 .  v - a logically two-dimensional array for storing the values
1825 .  m, idxm - the number of rows and their global indices
1826 -  n, idxn - the number of columns and their global indices
1827 
1828    Notes:
1829    The user must allocate space (m*n PetscScalars) for the values, v.
1830    The values, v, are then returned in a row-oriented format,
1831    analogous to that used by default in MatSetValues().
1832 
1833    MatGetValues() uses 0-based row and column numbers in
1834    Fortran as well as in C.
1835 
1836    MatGetValues() requires that the matrix has been assembled
1837    with MatAssemblyBegin()/MatAssemblyEnd().  Thus, calls to
1838    MatSetValues() and MatGetValues() CANNOT be made in succession
1839    without intermediate matrix assembly.
1840 
1841    Negative row or column indices will be ignored and those locations in v[] will be
1842    left unchanged.
1843 
1844    Level: advanced
1845 
1846    Concepts: matrices^accessing values
1847 
1848 .seealso: MatGetRow(), MatGetSubMatrices(), MatSetValues()
1849 @*/
1850 PetscErrorCode MatGetValues(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
1851 {
1852   PetscErrorCode ierr;
1853 
1854   PetscFunctionBegin;
1855   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
1856   PetscValidType(mat,1);
1857   if (!m || !n) PetscFunctionReturn(0);
1858   PetscValidIntPointer(idxm,3);
1859   PetscValidIntPointer(idxn,5);
1860   PetscValidScalarPointer(v,6);
1861   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1862   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1863   if (!mat->ops->getvalues) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
1864   MatCheckPreallocated(mat,1);
1865 
1866   ierr = PetscLogEventBegin(MAT_GetValues,mat,0,0,0);CHKERRQ(ierr);
1867   ierr = (*mat->ops->getvalues)(mat,m,idxm,n,idxn,v);CHKERRQ(ierr);
1868   ierr = PetscLogEventEnd(MAT_GetValues,mat,0,0,0);CHKERRQ(ierr);
1869   PetscFunctionReturn(0);
1870 }
1871 
1872 #undef __FUNCT__
1873 #define __FUNCT__ "MatSetValuesBatch"
1874 /*@
1875   MatSetValuesBatch - Adds (ADD_VALUES) many blocks of values into a matrix at once. The blocks must all be square and
1876   the same size. Currently, this can only be called once and creates the given matrix.
1877 
1878   Not Collective
1879 
1880   Input Parameters:
1881 + mat - the matrix
1882 . nb - the number of blocks
1883 . bs - the number of rows (and columns) in each block
1884 . rows - a concatenation of the rows for each block
1885 - v - a concatenation of logically two-dimensional arrays of values
1886 
1887   Notes:
1888   In the future, we will extend this routine to handle rectangular blocks, and to allow multiple calls for a given matrix.
1889 
1890   Level: advanced
1891 
1892   Concepts: matrices^putting entries in
1893 
1894 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
1895           InsertMode, INSERT_VALUES, ADD_VALUES, MatSetValues()
1896 @*/
1897 PetscErrorCode MatSetValuesBatch(Mat mat, PetscInt nb, PetscInt bs, PetscInt rows[], const PetscScalar v[])
1898 {
1899   PetscErrorCode ierr;
1900 
1901   PetscFunctionBegin;
1902   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
1903   PetscValidType(mat,1);
1904   PetscValidScalarPointer(rows,4);
1905   PetscValidScalarPointer(v,5);
1906 #if defined(PETSC_USE_DEBUG)
1907   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1908 #endif
1909 
1910   ierr = PetscLogEventBegin(MAT_SetValuesBatch,mat,0,0,0);CHKERRQ(ierr);
1911   if (mat->ops->setvaluesbatch) {
1912     ierr = (*mat->ops->setvaluesbatch)(mat,nb,bs,rows,v);CHKERRQ(ierr);
1913   } else {
1914     PetscInt b;
1915     for (b = 0; b < nb; ++b) {
1916       ierr = MatSetValues(mat, bs, &rows[b*bs], bs, &rows[b*bs], &v[b*bs*bs], ADD_VALUES);CHKERRQ(ierr);
1917     }
1918   }
1919   ierr = PetscLogEventEnd(MAT_SetValuesBatch,mat,0,0,0);CHKERRQ(ierr);
1920   PetscFunctionReturn(0);
1921 }
1922 
1923 #undef __FUNCT__
1924 #define __FUNCT__ "MatSetLocalToGlobalMapping"
1925 /*@
1926    MatSetLocalToGlobalMapping - Sets a local-to-global numbering for use by
1927    the routine MatSetValuesLocal() to allow users to insert matrix entries
1928    using a local (per-processor) numbering.
1929 
1930    Not Collective
1931 
1932    Input Parameters:
1933 +  x - the matrix
1934 .  rmapping - row mapping created with ISLocalToGlobalMappingCreate()   or ISLocalToGlobalMappingCreateIS()
1935 - cmapping - column mapping
1936 
1937    Level: intermediate
1938 
1939    Concepts: matrices^local to global mapping
1940    Concepts: local to global mapping^for matrices
1941 
1942 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesLocal()
1943 @*/
1944 PetscErrorCode MatSetLocalToGlobalMapping(Mat x,ISLocalToGlobalMapping rmapping,ISLocalToGlobalMapping cmapping)
1945 {
1946   PetscErrorCode ierr;
1947 
1948   PetscFunctionBegin;
1949   PetscValidHeaderSpecific(x,MAT_CLASSID,1);
1950   PetscValidType(x,1);
1951   PetscValidHeaderSpecific(rmapping,IS_LTOGM_CLASSID,2);
1952   PetscValidHeaderSpecific(cmapping,IS_LTOGM_CLASSID,3);
1953 
1954   if (x->ops->setlocaltoglobalmapping) {
1955     ierr = (*x->ops->setlocaltoglobalmapping)(x,rmapping,cmapping);CHKERRQ(ierr);
1956   } else {
1957     ierr = PetscLayoutSetISLocalToGlobalMapping(x->rmap,rmapping);CHKERRQ(ierr);
1958     ierr = PetscLayoutSetISLocalToGlobalMapping(x->cmap,cmapping);CHKERRQ(ierr);
1959   }
1960   PetscFunctionReturn(0);
1961 }
1962 
1963 
1964 #undef __FUNCT__
1965 #define __FUNCT__ "MatGetLocalToGlobalMapping"
1966 /*@
1967    MatGetLocalToGlobalMapping - Gets the local-to-global numbering set by MatSetLocalToGlobalMapping()
1968 
1969    Not Collective
1970 
1971    Input Parameters:
1972 .  A - the matrix
1973 
1974    Output Parameters:
1975 + rmapping - row mapping
1976 - cmapping - column mapping
1977 
1978    Level: advanced
1979 
1980    Concepts: matrices^local to global mapping
1981    Concepts: local to global mapping^for matrices
1982 
1983 .seealso:  MatSetValuesLocal()
1984 @*/
1985 PetscErrorCode MatGetLocalToGlobalMapping(Mat A,ISLocalToGlobalMapping *rmapping,ISLocalToGlobalMapping *cmapping)
1986 {
1987   PetscFunctionBegin;
1988   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
1989   PetscValidType(A,1);
1990   if (rmapping) PetscValidPointer(rmapping,2);
1991   if (cmapping) PetscValidPointer(cmapping,3);
1992   if (rmapping) *rmapping = A->rmap->mapping;
1993   if (cmapping) *cmapping = A->cmap->mapping;
1994   PetscFunctionReturn(0);
1995 }
1996 
1997 #undef __FUNCT__
1998 #define __FUNCT__ "MatGetLayouts"
1999 /*@
2000    MatGetLayouts - Gets the PetscLayout objects for rows and columns
2001 
2002    Not Collective
2003 
2004    Input Parameters:
2005 .  A - the matrix
2006 
2007    Output Parameters:
2008 + rmap - row layout
2009 - cmap - column layout
2010 
2011    Level: advanced
2012 
2013 .seealso:  MatCreateVecs(), MatGetLocalToGlobalMapping()
2014 @*/
2015 PetscErrorCode MatGetLayouts(Mat A,PetscLayout *rmap,PetscLayout *cmap)
2016 {
2017   PetscFunctionBegin;
2018   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
2019   PetscValidType(A,1);
2020   if (rmap) PetscValidPointer(rmap,2);
2021   if (cmap) PetscValidPointer(cmap,3);
2022   if (rmap) *rmap = A->rmap;
2023   if (cmap) *cmap = A->cmap;
2024   PetscFunctionReturn(0);
2025 }
2026 
2027 #undef __FUNCT__
2028 #define __FUNCT__ "MatSetValuesLocal"
2029 /*@
2030    MatSetValuesLocal - Inserts or adds values into certain locations of a matrix,
2031    using a local ordering of the nodes.
2032 
2033    Not Collective
2034 
2035    Input Parameters:
2036 +  x - the matrix
2037 .  nrow, irow - number of rows and their local indices
2038 .  ncol, icol - number of columns and their local indices
2039 .  y -  a logically two-dimensional array of values
2040 -  addv - either INSERT_VALUES or ADD_VALUES, where
2041    ADD_VALUES adds values to any existing entries, and
2042    INSERT_VALUES replaces existing entries with new values
2043 
2044    Notes:
2045    If you create the matrix yourself (that is not with a call to DMCreateMatrix()) then you MUST call MatXXXXSetPreallocation() or
2046       MatSetUp() before using this routine
2047 
2048    If you create the matrix yourself (that is not with a call to DMCreateMatrix()) then you MUST call MatSetLocalToGlobalMapping() before using this routine
2049 
2050    Calls to MatSetValuesLocal() with the INSERT_VALUES and ADD_VALUES
2051    options cannot be mixed without intervening calls to the assembly
2052    routines.
2053 
2054    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
2055    MUST be called after all calls to MatSetValuesLocal() have been completed.
2056 
2057    Level: intermediate
2058 
2059    Concepts: matrices^putting entries in with local numbering
2060 
2061 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetLocalToGlobalMapping(),
2062            MatSetValueLocal()
2063 @*/
2064 PetscErrorCode MatSetValuesLocal(Mat mat,PetscInt nrow,const PetscInt irow[],PetscInt ncol,const PetscInt icol[],const PetscScalar y[],InsertMode addv)
2065 {
2066   PetscErrorCode ierr;
2067 
2068   PetscFunctionBeginHot;
2069   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2070   PetscValidType(mat,1);
2071   MatCheckPreallocated(mat,1);
2072   if (!nrow || !ncol) PetscFunctionReturn(0); /* no values to insert */
2073   PetscValidIntPointer(irow,3);
2074   PetscValidIntPointer(icol,5);
2075   PetscValidScalarPointer(y,6);
2076   if (mat->insertmode == NOT_SET_VALUES) {
2077     mat->insertmode = addv;
2078   }
2079 #if defined(PETSC_USE_DEBUG)
2080   else if (mat->insertmode != addv) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
2081   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2082   if (!mat->ops->setvalueslocal && !mat->ops->setvalues) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2083 #endif
2084 
2085   if (mat->assembled) {
2086     mat->was_assembled = PETSC_TRUE;
2087     mat->assembled     = PETSC_FALSE;
2088   }
2089   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
2090   if (mat->ops->setvalueslocal) {
2091     ierr = (*mat->ops->setvalueslocal)(mat,nrow,irow,ncol,icol,y,addv);CHKERRQ(ierr);
2092   } else {
2093     PetscInt buf[8192],*bufr=0,*bufc=0,*irowm,*icolm;
2094     if ((nrow+ncol) <= (PetscInt)(sizeof(buf)/sizeof(PetscInt))) {
2095       irowm = buf; icolm = buf+nrow;
2096     } else {
2097       ierr  = PetscMalloc2(nrow,&bufr,ncol,&bufc);CHKERRQ(ierr);
2098       irowm = bufr; icolm = bufc;
2099     }
2100     ierr = ISLocalToGlobalMappingApply(mat->rmap->mapping,nrow,irow,irowm);CHKERRQ(ierr);
2101     ierr = ISLocalToGlobalMappingApply(mat->cmap->mapping,ncol,icol,icolm);CHKERRQ(ierr);
2102     ierr = MatSetValues(mat,nrow,irowm,ncol,icolm,y,addv);CHKERRQ(ierr);
2103     ierr = PetscFree2(bufr,bufc);CHKERRQ(ierr);
2104   }
2105   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
2106 #if defined(PETSC_HAVE_CUSP)
2107   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
2108     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
2109   }
2110 #elif defined(PETSC_HAVE_VIENNACL)
2111   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
2112     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
2113   }
2114 #elif defined(PETSC_HAVE_VECCUDA)
2115   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
2116     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
2117   }
2118 #endif
2119   PetscFunctionReturn(0);
2120 }
2121 
2122 #undef __FUNCT__
2123 #define __FUNCT__ "MatSetValuesBlockedLocal"
2124 /*@
2125    MatSetValuesBlockedLocal - Inserts or adds values into certain locations of a matrix,
2126    using a local ordering of the nodes a block at a time.
2127 
2128    Not Collective
2129 
2130    Input Parameters:
2131 +  x - the matrix
2132 .  nrow, irow - number of rows and their local indices
2133 .  ncol, icol - number of columns and their local indices
2134 .  y -  a logically two-dimensional array of values
2135 -  addv - either INSERT_VALUES or ADD_VALUES, where
2136    ADD_VALUES adds values to any existing entries, and
2137    INSERT_VALUES replaces existing entries with new values
2138 
2139    Notes:
2140    If you create the matrix yourself (that is not with a call to DMCreateMatrix()) then you MUST call MatXXXXSetPreallocation() or
2141       MatSetUp() before using this routine
2142 
2143    If you create the matrix yourself (that is not with a call to DMCreateMatrix()) then you MUST call MatSetBlockSize() and MatSetLocalToGlobalMapping()
2144       before using this routineBefore calling MatSetValuesLocal(), the user must first set the
2145 
2146    Calls to MatSetValuesBlockedLocal() with the INSERT_VALUES and ADD_VALUES
2147    options cannot be mixed without intervening calls to the assembly
2148    routines.
2149 
2150    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
2151    MUST be called after all calls to MatSetValuesBlockedLocal() have been completed.
2152 
2153    Level: intermediate
2154 
2155    Concepts: matrices^putting blocked values in with local numbering
2156 
2157 .seealso:  MatSetBlockSize(), MatSetLocalToGlobalMapping(), MatAssemblyBegin(), MatAssemblyEnd(),
2158            MatSetValuesLocal(),  MatSetValuesBlocked()
2159 @*/
2160 PetscErrorCode MatSetValuesBlockedLocal(Mat mat,PetscInt nrow,const PetscInt irow[],PetscInt ncol,const PetscInt icol[],const PetscScalar y[],InsertMode addv)
2161 {
2162   PetscErrorCode ierr;
2163 
2164   PetscFunctionBeginHot;
2165   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2166   PetscValidType(mat,1);
2167   MatCheckPreallocated(mat,1);
2168   if (!nrow || !ncol) PetscFunctionReturn(0); /* no values to insert */
2169   PetscValidIntPointer(irow,3);
2170   PetscValidIntPointer(icol,5);
2171   PetscValidScalarPointer(y,6);
2172   if (mat->insertmode == NOT_SET_VALUES) {
2173     mat->insertmode = addv;
2174   }
2175 #if defined(PETSC_USE_DEBUG)
2176   else if (mat->insertmode != addv) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
2177   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2178   if (!mat->ops->setvaluesblockedlocal && !mat->ops->setvaluesblocked && !mat->ops->setvalueslocal && !mat->ops->setvalues) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2179 #endif
2180 
2181   if (mat->assembled) {
2182     mat->was_assembled = PETSC_TRUE;
2183     mat->assembled     = PETSC_FALSE;
2184   }
2185   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
2186   if (mat->ops->setvaluesblockedlocal) {
2187     ierr = (*mat->ops->setvaluesblockedlocal)(mat,nrow,irow,ncol,icol,y,addv);CHKERRQ(ierr);
2188   } else {
2189     PetscInt buf[8192],*bufr=0,*bufc=0,*irowm,*icolm;
2190     if ((nrow+ncol) <= (PetscInt)(sizeof(buf)/sizeof(PetscInt))) {
2191       irowm = buf; icolm = buf + nrow;
2192     } else {
2193       ierr  = PetscMalloc2(nrow,&bufr,ncol,&bufc);CHKERRQ(ierr);
2194       irowm = bufr; icolm = bufc;
2195     }
2196     ierr = ISLocalToGlobalMappingApplyBlock(mat->rmap->mapping,nrow,irow,irowm);CHKERRQ(ierr);
2197     ierr = ISLocalToGlobalMappingApplyBlock(mat->cmap->mapping,ncol,icol,icolm);CHKERRQ(ierr);
2198     ierr = MatSetValuesBlocked(mat,nrow,irowm,ncol,icolm,y,addv);CHKERRQ(ierr);
2199     ierr = PetscFree2(bufr,bufc);CHKERRQ(ierr);
2200   }
2201   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
2202 #if defined(PETSC_HAVE_CUSP)
2203   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
2204     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
2205   }
2206 #elif defined(PETSC_HAVE_VIENNACL)
2207   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
2208     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
2209   }
2210 #elif defined(PETSC_HAVE_VECCUDA)
2211   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
2212     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
2213   }
2214 #endif
2215   PetscFunctionReturn(0);
2216 }
2217 
2218 #undef __FUNCT__
2219 #define __FUNCT__ "MatMultDiagonalBlock"
2220 /*@
2221    MatMultDiagonalBlock - Computes the matrix-vector product, y = Dx. Where D is defined by the inode or block structure of the diagonal
2222 
2223    Collective on Mat and Vec
2224 
2225    Input Parameters:
2226 +  mat - the matrix
2227 -  x   - the vector to be multiplied
2228 
2229    Output Parameters:
2230 .  y - the result
2231 
2232    Notes:
2233    The vectors x and y cannot be the same.  I.e., one cannot
2234    call MatMult(A,y,y).
2235 
2236    Level: developer
2237 
2238    Concepts: matrix-vector product
2239 
2240 .seealso: MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
2241 @*/
2242 PetscErrorCode MatMultDiagonalBlock(Mat mat,Vec x,Vec y)
2243 {
2244   PetscErrorCode ierr;
2245 
2246   PetscFunctionBegin;
2247   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2248   PetscValidType(mat,1);
2249   PetscValidHeaderSpecific(x,VEC_CLASSID,2);
2250   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2251 
2252   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2253   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2254   if (x == y) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
2255   MatCheckPreallocated(mat,1);
2256 
2257   if (!mat->ops->multdiagonalblock) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"This matrix type does not have a multiply defined");
2258   ierr = (*mat->ops->multdiagonalblock)(mat,x,y);CHKERRQ(ierr);
2259   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
2260   PetscFunctionReturn(0);
2261 }
2262 
2263 /* --------------------------------------------------------*/
2264 #undef __FUNCT__
2265 #define __FUNCT__ "MatMult"
2266 /*@
2267    MatMult - Computes the matrix-vector product, y = Ax.
2268 
2269    Neighbor-wise Collective on Mat and Vec
2270 
2271    Input Parameters:
2272 +  mat - the matrix
2273 -  x   - the vector to be multiplied
2274 
2275    Output Parameters:
2276 .  y - the result
2277 
2278    Notes:
2279    The vectors x and y cannot be the same.  I.e., one cannot
2280    call MatMult(A,y,y).
2281 
2282    Level: beginner
2283 
2284    Concepts: matrix-vector product
2285 
2286 .seealso: MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
2287 @*/
2288 PetscErrorCode MatMult(Mat mat,Vec x,Vec y)
2289 {
2290   PetscErrorCode ierr;
2291 
2292   PetscFunctionBegin;
2293   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2294   PetscValidType(mat,1);
2295   PetscValidHeaderSpecific(x,VEC_CLASSID,2);
2296   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2297   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2298   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2299   if (x == y) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
2300 #if !defined(PETSC_HAVE_CONSTRAINTS)
2301   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2302   if (mat->rmap->N != y->map->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->rmap->N,y->map->N);
2303   if (mat->rmap->n != y->map->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: local dim %D %D",mat->rmap->n,y->map->n);
2304 #endif
2305   VecLocked(y,3);
2306   if (mat->erroriffailure) {ierr = VecValidValues(x,2,PETSC_TRUE);CHKERRQ(ierr);}
2307   MatCheckPreallocated(mat,1);
2308 
2309   ierr = VecLockPush(x);CHKERRQ(ierr);
2310   if (!mat->ops->mult) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"This matrix type does not have a multiply defined");
2311   ierr = PetscLogEventBegin(MAT_Mult,mat,x,y,0);CHKERRQ(ierr);
2312   ierr = (*mat->ops->mult)(mat,x,y);CHKERRQ(ierr);
2313   ierr = PetscLogEventEnd(MAT_Mult,mat,x,y,0);CHKERRQ(ierr);
2314   if (mat->erroriffailure) {ierr = VecValidValues(y,3,PETSC_FALSE);CHKERRQ(ierr);}
2315   ierr = VecLockPop(x);CHKERRQ(ierr);
2316   PetscFunctionReturn(0);
2317 }
2318 
2319 #undef __FUNCT__
2320 #define __FUNCT__ "MatMultTranspose"
2321 /*@
2322    MatMultTranspose - Computes matrix transpose times a vector.
2323 
2324    Neighbor-wise Collective on Mat and Vec
2325 
2326    Input Parameters:
2327 +  mat - the matrix
2328 -  x   - the vector to be multilplied
2329 
2330    Output Parameters:
2331 .  y - the result
2332 
2333    Notes:
2334    The vectors x and y cannot be the same.  I.e., one cannot
2335    call MatMultTranspose(A,y,y).
2336 
2337    For complex numbers this does NOT compute the Hermitian (complex conjugate) transpose multiple,
2338    use MatMultHermitianTranspose()
2339 
2340    Level: beginner
2341 
2342    Concepts: matrix vector product^transpose
2343 
2344 .seealso: MatMult(), MatMultAdd(), MatMultTransposeAdd(), MatMultHermitianTranspose(), MatTranspose()
2345 @*/
2346 PetscErrorCode MatMultTranspose(Mat mat,Vec x,Vec y)
2347 {
2348   PetscErrorCode ierr;
2349 
2350   PetscFunctionBegin;
2351   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2352   PetscValidType(mat,1);
2353   PetscValidHeaderSpecific(x,VEC_CLASSID,2);
2354   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2355 
2356   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2357   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2358   if (x == y) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
2359 #if !defined(PETSC_HAVE_CONSTRAINTS)
2360   if (mat->rmap->N != x->map->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->rmap->N,x->map->N);
2361   if (mat->cmap->N != y->map->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->cmap->N,y->map->N);
2362 #endif
2363   if (mat->erroriffailure) {ierr = VecValidValues(x,2,PETSC_TRUE);CHKERRQ(ierr);}
2364   MatCheckPreallocated(mat,1);
2365 
2366   if (!mat->ops->multtranspose) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"This matrix type does not have a multiply tranpose defined");
2367   ierr = PetscLogEventBegin(MAT_MultTranspose,mat,x,y,0);CHKERRQ(ierr);
2368   ierr = VecLockPush(x);CHKERRQ(ierr);
2369   ierr = (*mat->ops->multtranspose)(mat,x,y);CHKERRQ(ierr);
2370   ierr = VecLockPop(x);CHKERRQ(ierr);
2371   ierr = PetscLogEventEnd(MAT_MultTranspose,mat,x,y,0);CHKERRQ(ierr);
2372   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
2373   if (mat->erroriffailure) {ierr = VecValidValues(y,3,PETSC_FALSE);CHKERRQ(ierr);}
2374   PetscFunctionReturn(0);
2375 }
2376 
2377 #undef __FUNCT__
2378 #define __FUNCT__ "MatMultHermitianTranspose"
2379 /*@
2380    MatMultHermitianTranspose - Computes matrix Hermitian transpose times a vector.
2381 
2382    Neighbor-wise Collective on Mat and Vec
2383 
2384    Input Parameters:
2385 +  mat - the matrix
2386 -  x   - the vector to be multilplied
2387 
2388    Output Parameters:
2389 .  y - the result
2390 
2391    Notes:
2392    The vectors x and y cannot be the same.  I.e., one cannot
2393    call MatMultHermitianTranspose(A,y,y).
2394 
2395    Also called the conjugate transpose, complex conjugate transpose, or adjoint.
2396 
2397    For real numbers MatMultTranspose() and MatMultHermitianTranspose() are identical.
2398 
2399    Level: beginner
2400 
2401    Concepts: matrix vector product^transpose
2402 
2403 .seealso: MatMult(), MatMultAdd(), MatMultHermitianTransposeAdd(), MatMultTranspose()
2404 @*/
2405 PetscErrorCode MatMultHermitianTranspose(Mat mat,Vec x,Vec y)
2406 {
2407   PetscErrorCode ierr;
2408   Vec            w;
2409 
2410   PetscFunctionBegin;
2411   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2412   PetscValidType(mat,1);
2413   PetscValidHeaderSpecific(x,VEC_CLASSID,2);
2414   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2415 
2416   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2417   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2418   if (x == y) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
2419 #if !defined(PETSC_HAVE_CONSTRAINTS)
2420   if (mat->rmap->N != x->map->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->rmap->N,x->map->N);
2421   if (mat->cmap->N != y->map->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->cmap->N,y->map->N);
2422 #endif
2423   MatCheckPreallocated(mat,1);
2424 
2425   ierr = PetscLogEventBegin(MAT_MultHermitianTranspose,mat,x,y,0);CHKERRQ(ierr);
2426   if (mat->ops->multhermitiantranspose) {
2427     ierr = VecLockPush(x);CHKERRQ(ierr);
2428     ierr = (*mat->ops->multhermitiantranspose)(mat,x,y);CHKERRQ(ierr);
2429     ierr = VecLockPop(x);CHKERRQ(ierr);
2430   } else {
2431     ierr = VecDuplicate(x,&w);CHKERRQ(ierr);
2432     ierr = VecCopy(x,w);CHKERRQ(ierr);
2433     ierr = VecConjugate(w);CHKERRQ(ierr);
2434     ierr = MatMultTranspose(mat,w,y);CHKERRQ(ierr);
2435     ierr = VecDestroy(&w);CHKERRQ(ierr);
2436     ierr = VecConjugate(y);CHKERRQ(ierr);
2437   }
2438   ierr = PetscLogEventEnd(MAT_MultHermitianTranspose,mat,x,y,0);CHKERRQ(ierr);
2439   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
2440   PetscFunctionReturn(0);
2441 }
2442 
2443 #undef __FUNCT__
2444 #define __FUNCT__ "MatMultAdd"
2445 /*@
2446     MatMultAdd -  Computes v3 = v2 + A * v1.
2447 
2448     Neighbor-wise Collective on Mat and Vec
2449 
2450     Input Parameters:
2451 +   mat - the matrix
2452 -   v1, v2 - the vectors
2453 
2454     Output Parameters:
2455 .   v3 - the result
2456 
2457     Notes:
2458     The vectors v1 and v3 cannot be the same.  I.e., one cannot
2459     call MatMultAdd(A,v1,v2,v1).
2460 
2461     Level: beginner
2462 
2463     Concepts: matrix vector product^addition
2464 
2465 .seealso: MatMultTranspose(), MatMult(), MatMultTransposeAdd()
2466 @*/
2467 PetscErrorCode MatMultAdd(Mat mat,Vec v1,Vec v2,Vec v3)
2468 {
2469   PetscErrorCode ierr;
2470 
2471   PetscFunctionBegin;
2472   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2473   PetscValidType(mat,1);
2474   PetscValidHeaderSpecific(v1,VEC_CLASSID,2);
2475   PetscValidHeaderSpecific(v2,VEC_CLASSID,3);
2476   PetscValidHeaderSpecific(v3,VEC_CLASSID,4);
2477 
2478   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2479   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2480   if (mat->cmap->N != v1->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec v1: global dim %D %D",mat->cmap->N,v1->map->N);
2481   /* if (mat->rmap->N != v2->map->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec v2: global dim %D %D",mat->rmap->N,v2->map->N);
2482      if (mat->rmap->N != v3->map->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec v3: global dim %D %D",mat->rmap->N,v3->map->N); */
2483   if (mat->rmap->n != v3->map->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec v3: local dim %D %D",mat->rmap->n,v3->map->n);
2484   if (mat->rmap->n != v2->map->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec v2: local dim %D %D",mat->rmap->n,v2->map->n);
2485   if (v1 == v3) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_IDN,"v1 and v3 must be different vectors");
2486   MatCheckPreallocated(mat,1);
2487 
2488   if (!mat->ops->multadd) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"No MatMultAdd() for matrix type '%s'",((PetscObject)mat)->type_name);
2489   ierr = PetscLogEventBegin(MAT_MultAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2490   ierr = VecLockPush(v1);CHKERRQ(ierr);
2491   ierr = (*mat->ops->multadd)(mat,v1,v2,v3);CHKERRQ(ierr);
2492   ierr = VecLockPop(v1);CHKERRQ(ierr);
2493   ierr = PetscLogEventEnd(MAT_MultAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2494   ierr = PetscObjectStateIncrease((PetscObject)v3);CHKERRQ(ierr);
2495   PetscFunctionReturn(0);
2496 }
2497 
2498 #undef __FUNCT__
2499 #define __FUNCT__ "MatMultTransposeAdd"
2500 /*@
2501    MatMultTransposeAdd - Computes v3 = v2 + A' * v1.
2502 
2503    Neighbor-wise Collective on Mat and Vec
2504 
2505    Input Parameters:
2506 +  mat - the matrix
2507 -  v1, v2 - the vectors
2508 
2509    Output Parameters:
2510 .  v3 - the result
2511 
2512    Notes:
2513    The vectors v1 and v3 cannot be the same.  I.e., one cannot
2514    call MatMultTransposeAdd(A,v1,v2,v1).
2515 
2516    Level: beginner
2517 
2518    Concepts: matrix vector product^transpose and addition
2519 
2520 .seealso: MatMultTranspose(), MatMultAdd(), MatMult()
2521 @*/
2522 PetscErrorCode MatMultTransposeAdd(Mat mat,Vec v1,Vec v2,Vec v3)
2523 {
2524   PetscErrorCode ierr;
2525 
2526   PetscFunctionBegin;
2527   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2528   PetscValidType(mat,1);
2529   PetscValidHeaderSpecific(v1,VEC_CLASSID,2);
2530   PetscValidHeaderSpecific(v2,VEC_CLASSID,3);
2531   PetscValidHeaderSpecific(v3,VEC_CLASSID,4);
2532 
2533   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2534   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2535   if (!mat->ops->multtransposeadd) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2536   if (v1 == v3) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_IDN,"v1 and v3 must be different vectors");
2537   if (mat->rmap->N != v1->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec v1: global dim %D %D",mat->rmap->N,v1->map->N);
2538   if (mat->cmap->N != v2->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec v2: global dim %D %D",mat->cmap->N,v2->map->N);
2539   if (mat->cmap->N != v3->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec v3: global dim %D %D",mat->cmap->N,v3->map->N);
2540   MatCheckPreallocated(mat,1);
2541 
2542   ierr = PetscLogEventBegin(MAT_MultTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2543   ierr = VecLockPush(v1);CHKERRQ(ierr);
2544   ierr = (*mat->ops->multtransposeadd)(mat,v1,v2,v3);CHKERRQ(ierr);
2545   ierr = VecLockPop(v1);CHKERRQ(ierr);
2546   ierr = PetscLogEventEnd(MAT_MultTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2547   ierr = PetscObjectStateIncrease((PetscObject)v3);CHKERRQ(ierr);
2548   PetscFunctionReturn(0);
2549 }
2550 
2551 #undef __FUNCT__
2552 #define __FUNCT__ "MatMultHermitianTransposeAdd"
2553 /*@
2554    MatMultHermitianTransposeAdd - Computes v3 = v2 + A^H * v1.
2555 
2556    Neighbor-wise Collective on Mat and Vec
2557 
2558    Input Parameters:
2559 +  mat - the matrix
2560 -  v1, v2 - the vectors
2561 
2562    Output Parameters:
2563 .  v3 - the result
2564 
2565    Notes:
2566    The vectors v1 and v3 cannot be the same.  I.e., one cannot
2567    call MatMultHermitianTransposeAdd(A,v1,v2,v1).
2568 
2569    Level: beginner
2570 
2571    Concepts: matrix vector product^transpose and addition
2572 
2573 .seealso: MatMultHermitianTranspose(), MatMultTranspose(), MatMultAdd(), MatMult()
2574 @*/
2575 PetscErrorCode MatMultHermitianTransposeAdd(Mat mat,Vec v1,Vec v2,Vec v3)
2576 {
2577   PetscErrorCode ierr;
2578 
2579   PetscFunctionBegin;
2580   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2581   PetscValidType(mat,1);
2582   PetscValidHeaderSpecific(v1,VEC_CLASSID,2);
2583   PetscValidHeaderSpecific(v2,VEC_CLASSID,3);
2584   PetscValidHeaderSpecific(v3,VEC_CLASSID,4);
2585 
2586   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2587   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2588   if (v1 == v3) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_IDN,"v1 and v3 must be different vectors");
2589   if (mat->rmap->N != v1->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec v1: global dim %D %D",mat->rmap->N,v1->map->N);
2590   if (mat->cmap->N != v2->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec v2: global dim %D %D",mat->cmap->N,v2->map->N);
2591   if (mat->cmap->N != v3->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec v3: global dim %D %D",mat->cmap->N,v3->map->N);
2592   MatCheckPreallocated(mat,1);
2593 
2594   ierr = PetscLogEventBegin(MAT_MultHermitianTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2595   ierr = VecLockPush(v1);CHKERRQ(ierr);
2596   if (mat->ops->multhermitiantransposeadd) {
2597     ierr = (*mat->ops->multhermitiantransposeadd)(mat,v1,v2,v3);CHKERRQ(ierr);
2598    } else {
2599     Vec w,z;
2600     ierr = VecDuplicate(v1,&w);CHKERRQ(ierr);
2601     ierr = VecCopy(v1,w);CHKERRQ(ierr);
2602     ierr = VecConjugate(w);CHKERRQ(ierr);
2603     ierr = VecDuplicate(v3,&z);CHKERRQ(ierr);
2604     ierr = MatMultTranspose(mat,w,z);CHKERRQ(ierr);
2605     ierr = VecDestroy(&w);CHKERRQ(ierr);
2606     ierr = VecConjugate(z);CHKERRQ(ierr);
2607     ierr = VecWAXPY(v3,1.0,v2,z);CHKERRQ(ierr);
2608     ierr = VecDestroy(&z);CHKERRQ(ierr);
2609   }
2610   ierr = VecLockPop(v1);CHKERRQ(ierr);
2611   ierr = PetscLogEventEnd(MAT_MultHermitianTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2612   ierr = PetscObjectStateIncrease((PetscObject)v3);CHKERRQ(ierr);
2613   PetscFunctionReturn(0);
2614 }
2615 
2616 #undef __FUNCT__
2617 #define __FUNCT__ "MatMultConstrained"
2618 /*@
2619    MatMultConstrained - The inner multiplication routine for a
2620    constrained matrix P^T A P.
2621 
2622    Neighbor-wise Collective on Mat and Vec
2623 
2624    Input Parameters:
2625 +  mat - the matrix
2626 -  x   - the vector to be multilplied
2627 
2628    Output Parameters:
2629 .  y - the result
2630 
2631    Notes:
2632    The vectors x and y cannot be the same.  I.e., one cannot
2633    call MatMult(A,y,y).
2634 
2635    Level: beginner
2636 
2637 .keywords: matrix, multiply, matrix-vector product, constraint
2638 .seealso: MatMult(), MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
2639 @*/
2640 PetscErrorCode MatMultConstrained(Mat mat,Vec x,Vec y)
2641 {
2642   PetscErrorCode ierr;
2643 
2644   PetscFunctionBegin;
2645   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2646   PetscValidHeaderSpecific(x,VEC_CLASSID,2);
2647   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2648   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2649   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2650   if (x == y) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
2651   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2652   if (mat->rmap->N != y->map->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->rmap->N,y->map->N);
2653   if (mat->rmap->n != y->map->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: local dim %D %D",mat->rmap->n,y->map->n);
2654 
2655   ierr = PetscLogEventBegin(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2656   ierr = VecLockPush(x);CHKERRQ(ierr);
2657   ierr = (*mat->ops->multconstrained)(mat,x,y);CHKERRQ(ierr);
2658   ierr = VecLockPop(x);CHKERRQ(ierr);
2659   ierr = PetscLogEventEnd(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2660   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
2661   PetscFunctionReturn(0);
2662 }
2663 
2664 #undef __FUNCT__
2665 #define __FUNCT__ "MatMultTransposeConstrained"
2666 /*@
2667    MatMultTransposeConstrained - The inner multiplication routine for a
2668    constrained matrix P^T A^T P.
2669 
2670    Neighbor-wise Collective on Mat and Vec
2671 
2672    Input Parameters:
2673 +  mat - the matrix
2674 -  x   - the vector to be multilplied
2675 
2676    Output Parameters:
2677 .  y - the result
2678 
2679    Notes:
2680    The vectors x and y cannot be the same.  I.e., one cannot
2681    call MatMult(A,y,y).
2682 
2683    Level: beginner
2684 
2685 .keywords: matrix, multiply, matrix-vector product, constraint
2686 .seealso: MatMult(), MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
2687 @*/
2688 PetscErrorCode MatMultTransposeConstrained(Mat mat,Vec x,Vec y)
2689 {
2690   PetscErrorCode ierr;
2691 
2692   PetscFunctionBegin;
2693   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2694   PetscValidHeaderSpecific(x,VEC_CLASSID,2);
2695   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2696   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2697   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2698   if (x == y) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
2699   if (mat->rmap->N != x->map->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2700   if (mat->cmap->N != y->map->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->rmap->N,y->map->N);
2701 
2702   ierr = PetscLogEventBegin(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2703   ierr = (*mat->ops->multtransposeconstrained)(mat,x,y);CHKERRQ(ierr);
2704   ierr = PetscLogEventEnd(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2705   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
2706   PetscFunctionReturn(0);
2707 }
2708 
2709 #undef __FUNCT__
2710 #define __FUNCT__ "MatGetFactorType"
2711 /*@C
2712    MatGetFactorType - gets the type of factorization it is
2713 
2714    Note Collective
2715    as the flag
2716 
2717    Input Parameters:
2718 .  mat - the matrix
2719 
2720    Output Parameters:
2721 .  t - the type, one of MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT
2722 
2723     Level: intermediate
2724 
2725 .seealso:    MatFactorType, MatGetFactor()
2726 @*/
2727 PetscErrorCode MatGetFactorType(Mat mat,MatFactorType *t)
2728 {
2729   PetscFunctionBegin;
2730   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2731   PetscValidType(mat,1);
2732   *t = mat->factortype;
2733   PetscFunctionReturn(0);
2734 }
2735 
2736 /* ------------------------------------------------------------*/
2737 #undef __FUNCT__
2738 #define __FUNCT__ "MatGetInfo"
2739 /*@C
2740    MatGetInfo - Returns information about matrix storage (number of
2741    nonzeros, memory, etc.).
2742 
2743    Collective on Mat if MAT_GLOBAL_MAX or MAT_GLOBAL_SUM is used as the flag
2744 
2745    Input Parameters:
2746 .  mat - the matrix
2747 
2748    Output Parameters:
2749 +  flag - flag indicating the type of parameters to be returned
2750    (MAT_LOCAL - local matrix, MAT_GLOBAL_MAX - maximum over all processors,
2751    MAT_GLOBAL_SUM - sum over all processors)
2752 -  info - matrix information context
2753 
2754    Notes:
2755    The MatInfo context contains a variety of matrix data, including
2756    number of nonzeros allocated and used, number of mallocs during
2757    matrix assembly, etc.  Additional information for factored matrices
2758    is provided (such as the fill ratio, number of mallocs during
2759    factorization, etc.).  Much of this info is printed to PETSC_STDOUT
2760    when using the runtime options
2761 $       -info -mat_view ::ascii_info
2762 
2763    Example for C/C++ Users:
2764    See the file ${PETSC_DIR}/include/petscmat.h for a complete list of
2765    data within the MatInfo context.  For example,
2766 .vb
2767       MatInfo info;
2768       Mat     A;
2769       double  mal, nz_a, nz_u;
2770 
2771       MatGetInfo(A,MAT_LOCAL,&info);
2772       mal  = info.mallocs;
2773       nz_a = info.nz_allocated;
2774 .ve
2775 
2776    Example for Fortran Users:
2777    Fortran users should declare info as a double precision
2778    array of dimension MAT_INFO_SIZE, and then extract the parameters
2779    of interest.  See the file ${PETSC_DIR}/include/petsc/finclude/petscmat.h
2780    a complete list of parameter names.
2781 .vb
2782       double  precision info(MAT_INFO_SIZE)
2783       double  precision mal, nz_a
2784       Mat     A
2785       integer ierr
2786 
2787       call MatGetInfo(A,MAT_LOCAL,info,ierr)
2788       mal = info(MAT_INFO_MALLOCS)
2789       nz_a = info(MAT_INFO_NZ_ALLOCATED)
2790 .ve
2791 
2792     Level: intermediate
2793 
2794     Concepts: matrices^getting information on
2795 
2796     Developer Note: fortran interface is not autogenerated as the f90
2797     interface defintion cannot be generated correctly [due to MatInfo]
2798 
2799 .seealso: MatStashGetInfo()
2800 
2801 @*/
2802 PetscErrorCode MatGetInfo(Mat mat,MatInfoType flag,MatInfo *info)
2803 {
2804   PetscErrorCode ierr;
2805 
2806   PetscFunctionBegin;
2807   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2808   PetscValidType(mat,1);
2809   PetscValidPointer(info,3);
2810   if (!mat->ops->getinfo) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2811   MatCheckPreallocated(mat,1);
2812   ierr = (*mat->ops->getinfo)(mat,flag,info);CHKERRQ(ierr);
2813   PetscFunctionReturn(0);
2814 }
2815 
2816 #undef __FUNCT__
2817 #define __FUNCT__ "MatGetInfo_External"
2818 /*
2819    This is used by external packages where it is not easy to get the info from the actual
2820    matrix factorization.
2821 */
2822 PetscErrorCode MatGetInfo_External(Mat A,MatInfoType flag,MatInfo *info)
2823 {
2824   PetscErrorCode ierr;
2825 
2826   PetscFunctionBegin;
2827   ierr = PetscMemzero(info,sizeof(MatInfo));CHKERRQ(ierr);
2828   PetscFunctionReturn(0);
2829 }
2830 
2831 /* ----------------------------------------------------------*/
2832 
2833 #undef __FUNCT__
2834 #define __FUNCT__ "MatLUFactor"
2835 /*@C
2836    MatLUFactor - Performs in-place LU factorization of matrix.
2837 
2838    Collective on Mat
2839 
2840    Input Parameters:
2841 +  mat - the matrix
2842 .  row - row permutation
2843 .  col - column permutation
2844 -  info - options for factorization, includes
2845 $          fill - expected fill as ratio of original fill.
2846 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2847 $                   Run with the option -info to determine an optimal value to use
2848 
2849    Notes:
2850    Most users should employ the simplified KSP interface for linear solvers
2851    instead of working directly with matrix algebra routines such as this.
2852    See, e.g., KSPCreate().
2853 
2854    This changes the state of the matrix to a factored matrix; it cannot be used
2855    for example with MatSetValues() unless one first calls MatSetUnfactored().
2856 
2857    Level: developer
2858 
2859    Concepts: matrices^LU factorization
2860 
2861 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(),
2862           MatGetOrdering(), MatSetUnfactored(), MatFactorInfo, MatGetFactor()
2863 
2864     Developer Note: fortran interface is not autogenerated as the f90
2865     interface defintion cannot be generated correctly [due to MatFactorInfo]
2866 
2867 @*/
2868 PetscErrorCode MatLUFactor(Mat mat,IS row,IS col,const MatFactorInfo *info)
2869 {
2870   PetscErrorCode ierr;
2871   MatFactorInfo  tinfo;
2872 
2873   PetscFunctionBegin;
2874   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2875   if (row) PetscValidHeaderSpecific(row,IS_CLASSID,2);
2876   if (col) PetscValidHeaderSpecific(col,IS_CLASSID,3);
2877   if (info) PetscValidPointer(info,4);
2878   PetscValidType(mat,1);
2879   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2880   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2881   if (!mat->ops->lufactor) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2882   MatCheckPreallocated(mat,1);
2883   if (!info) {
2884     ierr = MatFactorInfoInitialize(&tinfo);CHKERRQ(ierr);
2885     info = &tinfo;
2886   }
2887 
2888   ierr = PetscLogEventBegin(MAT_LUFactor,mat,row,col,0);CHKERRQ(ierr);
2889   ierr = (*mat->ops->lufactor)(mat,row,col,info);CHKERRQ(ierr);
2890   ierr = PetscLogEventEnd(MAT_LUFactor,mat,row,col,0);CHKERRQ(ierr);
2891   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2892   PetscFunctionReturn(0);
2893 }
2894 
2895 #undef __FUNCT__
2896 #define __FUNCT__ "MatILUFactor"
2897 /*@C
2898    MatILUFactor - Performs in-place ILU factorization of matrix.
2899 
2900    Collective on Mat
2901 
2902    Input Parameters:
2903 +  mat - the matrix
2904 .  row - row permutation
2905 .  col - column permutation
2906 -  info - structure containing
2907 $      levels - number of levels of fill.
2908 $      expected fill - as ratio of original fill.
2909 $      1 or 0 - indicating force fill on diagonal (improves robustness for matrices
2910                 missing diagonal entries)
2911 
2912    Notes:
2913    Probably really in-place only when level of fill is zero, otherwise allocates
2914    new space to store factored matrix and deletes previous memory.
2915 
2916    Most users should employ the simplified KSP interface for linear solvers
2917    instead of working directly with matrix algebra routines such as this.
2918    See, e.g., KSPCreate().
2919 
2920    Level: developer
2921 
2922    Concepts: matrices^ILU factorization
2923 
2924 .seealso: MatILUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
2925 
2926     Developer Note: fortran interface is not autogenerated as the f90
2927     interface defintion cannot be generated correctly [due to MatFactorInfo]
2928 
2929 @*/
2930 PetscErrorCode MatILUFactor(Mat mat,IS row,IS col,const MatFactorInfo *info)
2931 {
2932   PetscErrorCode ierr;
2933 
2934   PetscFunctionBegin;
2935   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2936   if (row) PetscValidHeaderSpecific(row,IS_CLASSID,2);
2937   if (col) PetscValidHeaderSpecific(col,IS_CLASSID,3);
2938   PetscValidPointer(info,4);
2939   PetscValidType(mat,1);
2940   if (mat->rmap->N != mat->cmap->N) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONG,"matrix must be square");
2941   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2942   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2943   if (!mat->ops->ilufactor) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2944   MatCheckPreallocated(mat,1);
2945 
2946   ierr = PetscLogEventBegin(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2947   ierr = (*mat->ops->ilufactor)(mat,row,col,info);CHKERRQ(ierr);
2948   ierr = PetscLogEventEnd(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2949   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2950   PetscFunctionReturn(0);
2951 }
2952 
2953 #undef __FUNCT__
2954 #define __FUNCT__ "MatLUFactorSymbolic"
2955 /*@C
2956    MatLUFactorSymbolic - Performs symbolic LU factorization of matrix.
2957    Call this routine before calling MatLUFactorNumeric().
2958 
2959    Collective on Mat
2960 
2961    Input Parameters:
2962 +  fact - the factor matrix obtained with MatGetFactor()
2963 .  mat - the matrix
2964 .  row, col - row and column permutations
2965 -  info - options for factorization, includes
2966 $          fill - expected fill as ratio of original fill.
2967 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2968 $                   Run with the option -info to determine an optimal value to use
2969 
2970 
2971    Notes: See Users-Manual: ch_mat for additional information about choosing the fill factor for better efficiency.
2972 
2973    Most users should employ the simplified KSP interface for linear solvers
2974    instead of working directly with matrix algebra routines such as this.
2975    See, e.g., KSPCreate().
2976 
2977    Level: developer
2978 
2979    Concepts: matrices^LU symbolic factorization
2980 
2981 .seealso: MatLUFactor(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo, MatFactorInfoInitialize()
2982 
2983     Developer Note: fortran interface is not autogenerated as the f90
2984     interface defintion cannot be generated correctly [due to MatFactorInfo]
2985 
2986 @*/
2987 PetscErrorCode MatLUFactorSymbolic(Mat fact,Mat mat,IS row,IS col,const MatFactorInfo *info)
2988 {
2989   PetscErrorCode ierr;
2990 
2991   PetscFunctionBegin;
2992   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2993   if (row) PetscValidHeaderSpecific(row,IS_CLASSID,2);
2994   if (col) PetscValidHeaderSpecific(col,IS_CLASSID,3);
2995   if (info) PetscValidPointer(info,4);
2996   PetscValidType(mat,1);
2997   PetscValidPointer(fact,5);
2998   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2999   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3000   if (!(fact)->ops->lufactorsymbolic) {
3001     const MatSolverPackage spackage;
3002     ierr = MatFactorGetSolverPackage(fact,&spackage);CHKERRQ(ierr);
3003     SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Matrix type %s symbolic LU using solver package %s",((PetscObject)mat)->type_name,spackage);
3004   }
3005   MatCheckPreallocated(mat,2);
3006 
3007   ierr = PetscLogEventBegin(MAT_LUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
3008   ierr = (fact->ops->lufactorsymbolic)(fact,mat,row,col,info);CHKERRQ(ierr);
3009   ierr = PetscLogEventEnd(MAT_LUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
3010   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
3011   PetscFunctionReturn(0);
3012 }
3013 
3014 #undef __FUNCT__
3015 #define __FUNCT__ "MatLUFactorNumeric"
3016 /*@C
3017    MatLUFactorNumeric - Performs numeric LU factorization of a matrix.
3018    Call this routine after first calling MatLUFactorSymbolic().
3019 
3020    Collective on Mat
3021 
3022    Input Parameters:
3023 +  fact - the factor matrix obtained with MatGetFactor()
3024 .  mat - the matrix
3025 -  info - options for factorization
3026 
3027    Notes:
3028    See MatLUFactor() for in-place factorization.  See
3029    MatCholeskyFactorNumeric() for the symmetric, positive definite case.
3030 
3031    Most users should employ the simplified KSP interface for linear solvers
3032    instead of working directly with matrix algebra routines such as this.
3033    See, e.g., KSPCreate().
3034 
3035    Level: developer
3036 
3037    Concepts: matrices^LU numeric factorization
3038 
3039 .seealso: MatLUFactorSymbolic(), MatLUFactor(), MatCholeskyFactor()
3040 
3041     Developer Note: fortran interface is not autogenerated as the f90
3042     interface defintion cannot be generated correctly [due to MatFactorInfo]
3043 
3044 @*/
3045 PetscErrorCode MatLUFactorNumeric(Mat fact,Mat mat,const MatFactorInfo *info)
3046 {
3047   PetscErrorCode ierr;
3048 
3049   PetscFunctionBegin;
3050   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3051   PetscValidType(mat,1);
3052   PetscValidPointer(fact,2);
3053   PetscValidHeaderSpecific(fact,MAT_CLASSID,2);
3054   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3055   if (mat->rmap->N != (fact)->rmap->N || mat->cmap->N != (fact)->cmap->N) SETERRQ4(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Mat fact: global dimensions are different %D should = %D %D should = %D",mat->rmap->N,(fact)->rmap->N,mat->cmap->N,(fact)->cmap->N);
3056 
3057   if (!(fact)->ops->lufactornumeric) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s numeric LU",((PetscObject)mat)->type_name);
3058   MatCheckPreallocated(mat,2);
3059   ierr = PetscLogEventBegin(MAT_LUFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
3060   ierr = (fact->ops->lufactornumeric)(fact,mat,info);CHKERRQ(ierr);
3061   ierr = PetscLogEventEnd(MAT_LUFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
3062   ierr = MatViewFromOptions(fact,NULL,"-mat_factor_view");CHKERRQ(ierr);
3063   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
3064   PetscFunctionReturn(0);
3065 }
3066 
3067 #undef __FUNCT__
3068 #define __FUNCT__ "MatCholeskyFactor"
3069 /*@C
3070    MatCholeskyFactor - Performs in-place Cholesky factorization of a
3071    symmetric matrix.
3072 
3073    Collective on Mat
3074 
3075    Input Parameters:
3076 +  mat - the matrix
3077 .  perm - row and column permutations
3078 -  f - expected fill as ratio of original fill
3079 
3080    Notes:
3081    See MatLUFactor() for the nonsymmetric case.  See also
3082    MatCholeskyFactorSymbolic(), and MatCholeskyFactorNumeric().
3083 
3084    Most users should employ the simplified KSP interface for linear solvers
3085    instead of working directly with matrix algebra routines such as this.
3086    See, e.g., KSPCreate().
3087 
3088    Level: developer
3089 
3090    Concepts: matrices^Cholesky factorization
3091 
3092 .seealso: MatLUFactor(), MatCholeskyFactorSymbolic(), MatCholeskyFactorNumeric()
3093           MatGetOrdering()
3094 
3095     Developer Note: fortran interface is not autogenerated as the f90
3096     interface defintion cannot be generated correctly [due to MatFactorInfo]
3097 
3098 @*/
3099 PetscErrorCode MatCholeskyFactor(Mat mat,IS perm,const MatFactorInfo *info)
3100 {
3101   PetscErrorCode ierr;
3102 
3103   PetscFunctionBegin;
3104   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3105   PetscValidType(mat,1);
3106   if (perm) PetscValidHeaderSpecific(perm,IS_CLASSID,2);
3107   if (info) PetscValidPointer(info,3);
3108   if (mat->rmap->N != mat->cmap->N) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONG,"Matrix must be square");
3109   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3110   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3111   if (!mat->ops->choleskyfactor) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3112   MatCheckPreallocated(mat,1);
3113 
3114   ierr = PetscLogEventBegin(MAT_CholeskyFactor,mat,perm,0,0);CHKERRQ(ierr);
3115   ierr = (*mat->ops->choleskyfactor)(mat,perm,info);CHKERRQ(ierr);
3116   ierr = PetscLogEventEnd(MAT_CholeskyFactor,mat,perm,0,0);CHKERRQ(ierr);
3117   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
3118   PetscFunctionReturn(0);
3119 }
3120 
3121 #undef __FUNCT__
3122 #define __FUNCT__ "MatCholeskyFactorSymbolic"
3123 /*@C
3124    MatCholeskyFactorSymbolic - Performs symbolic Cholesky factorization
3125    of a symmetric matrix.
3126 
3127    Collective on Mat
3128 
3129    Input Parameters:
3130 +  fact - the factor matrix obtained with MatGetFactor()
3131 .  mat - the matrix
3132 .  perm - row and column permutations
3133 -  info - options for factorization, includes
3134 $          fill - expected fill as ratio of original fill.
3135 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
3136 $                   Run with the option -info to determine an optimal value to use
3137 
3138    Notes:
3139    See MatLUFactorSymbolic() for the nonsymmetric case.  See also
3140    MatCholeskyFactor() and MatCholeskyFactorNumeric().
3141 
3142    Most users should employ the simplified KSP interface for linear solvers
3143    instead of working directly with matrix algebra routines such as this.
3144    See, e.g., KSPCreate().
3145 
3146    Level: developer
3147 
3148    Concepts: matrices^Cholesky symbolic factorization
3149 
3150 .seealso: MatLUFactorSymbolic(), MatCholeskyFactor(), MatCholeskyFactorNumeric()
3151           MatGetOrdering()
3152 
3153     Developer Note: fortran interface is not autogenerated as the f90
3154     interface defintion cannot be generated correctly [due to MatFactorInfo]
3155 
3156 @*/
3157 PetscErrorCode MatCholeskyFactorSymbolic(Mat fact,Mat mat,IS perm,const MatFactorInfo *info)
3158 {
3159   PetscErrorCode ierr;
3160 
3161   PetscFunctionBegin;
3162   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3163   PetscValidType(mat,1);
3164   if (perm) PetscValidHeaderSpecific(perm,IS_CLASSID,2);
3165   if (info) PetscValidPointer(info,3);
3166   PetscValidPointer(fact,4);
3167   if (mat->rmap->N != mat->cmap->N) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONG,"Matrix must be square");
3168   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3169   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3170   if (!(fact)->ops->choleskyfactorsymbolic) {
3171     const MatSolverPackage spackage;
3172     ierr = MatFactorGetSolverPackage(fact,&spackage);CHKERRQ(ierr);
3173     SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s symbolic factor Cholesky using solver package %s",((PetscObject)mat)->type_name,spackage);
3174   }
3175   MatCheckPreallocated(mat,2);
3176 
3177   ierr = PetscLogEventBegin(MAT_CholeskyFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
3178   ierr = (fact->ops->choleskyfactorsymbolic)(fact,mat,perm,info);CHKERRQ(ierr);
3179   ierr = PetscLogEventEnd(MAT_CholeskyFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
3180   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
3181   PetscFunctionReturn(0);
3182 }
3183 
3184 #undef __FUNCT__
3185 #define __FUNCT__ "MatCholeskyFactorNumeric"
3186 /*@C
3187    MatCholeskyFactorNumeric - Performs numeric Cholesky factorization
3188    of a symmetric matrix. Call this routine after first calling
3189    MatCholeskyFactorSymbolic().
3190 
3191    Collective on Mat
3192 
3193    Input Parameters:
3194 +  fact - the factor matrix obtained with MatGetFactor()
3195 .  mat - the initial matrix
3196 .  info - options for factorization
3197 -  fact - the symbolic factor of mat
3198 
3199 
3200    Notes:
3201    Most users should employ the simplified KSP interface for linear solvers
3202    instead of working directly with matrix algebra routines such as this.
3203    See, e.g., KSPCreate().
3204 
3205    Level: developer
3206 
3207    Concepts: matrices^Cholesky numeric factorization
3208 
3209 .seealso: MatCholeskyFactorSymbolic(), MatCholeskyFactor(), MatLUFactorNumeric()
3210 
3211     Developer Note: fortran interface is not autogenerated as the f90
3212     interface defintion cannot be generated correctly [due to MatFactorInfo]
3213 
3214 @*/
3215 PetscErrorCode MatCholeskyFactorNumeric(Mat fact,Mat mat,const MatFactorInfo *info)
3216 {
3217   PetscErrorCode ierr;
3218 
3219   PetscFunctionBegin;
3220   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3221   PetscValidType(mat,1);
3222   PetscValidPointer(fact,2);
3223   PetscValidHeaderSpecific(fact,MAT_CLASSID,2);
3224   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3225   if (!(fact)->ops->choleskyfactornumeric) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s numeric factor Cholesky",((PetscObject)mat)->type_name);
3226   if (mat->rmap->N != (fact)->rmap->N || mat->cmap->N != (fact)->cmap->N) SETERRQ4(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Mat fact: global dim %D should = %D %D should = %D",mat->rmap->N,(fact)->rmap->N,mat->cmap->N,(fact)->cmap->N);
3227   MatCheckPreallocated(mat,2);
3228 
3229   ierr = PetscLogEventBegin(MAT_CholeskyFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
3230   ierr = (fact->ops->choleskyfactornumeric)(fact,mat,info);CHKERRQ(ierr);
3231   ierr = PetscLogEventEnd(MAT_CholeskyFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
3232   ierr = MatViewFromOptions(fact,NULL,"-mat_factor_view");CHKERRQ(ierr);
3233   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
3234   PetscFunctionReturn(0);
3235 }
3236 
3237 /* ----------------------------------------------------------------*/
3238 #undef __FUNCT__
3239 #define __FUNCT__ "MatSolve"
3240 /*@
3241    MatSolve - Solves A x = b, given a factored matrix.
3242 
3243    Neighbor-wise Collective on Mat and Vec
3244 
3245    Input Parameters:
3246 +  mat - the factored matrix
3247 -  b - the right-hand-side vector
3248 
3249    Output Parameter:
3250 .  x - the result vector
3251 
3252    Notes:
3253    The vectors b and x cannot be the same.  I.e., one cannot
3254    call MatSolve(A,x,x).
3255 
3256    Notes:
3257    Most users should employ the simplified KSP interface for linear solvers
3258    instead of working directly with matrix algebra routines such as this.
3259    See, e.g., KSPCreate().
3260 
3261    Level: developer
3262 
3263    Concepts: matrices^triangular solves
3264 
3265 .seealso: MatSolveAdd(), MatSolveTranspose(), MatSolveTransposeAdd()
3266 @*/
3267 PetscErrorCode MatSolve(Mat mat,Vec b,Vec x)
3268 {
3269   PetscErrorCode ierr;
3270 
3271   PetscFunctionBegin;
3272   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3273   PetscValidType(mat,1);
3274   PetscValidHeaderSpecific(b,VEC_CLASSID,2);
3275   PetscValidHeaderSpecific(x,VEC_CLASSID,3);
3276   PetscCheckSameComm(mat,1,b,2);
3277   PetscCheckSameComm(mat,1,x,3);
3278   if (x == b) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3279   if (!mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3280   if (mat->cmap->N != x->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
3281   if (mat->rmap->N != b->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
3282   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
3283   if (!mat->rmap->N && !mat->cmap->N) PetscFunctionReturn(0);
3284   if (!mat->ops->solve) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3285   MatCheckPreallocated(mat,1);
3286 
3287   ierr = PetscLogEventBegin(MAT_Solve,mat,b,x,0);CHKERRQ(ierr);
3288   if (mat->errortype) {
3289     ierr = PetscInfo1(mat,"MatFactorError %D\n",mat->errortype);CHKERRQ(ierr);
3290     ierr = VecSetInf(x);CHKERRQ(ierr);
3291   } else {
3292     ierr = (*mat->ops->solve)(mat,b,x);CHKERRQ(ierr);
3293   }
3294   ierr = PetscLogEventEnd(MAT_Solve,mat,b,x,0);CHKERRQ(ierr);
3295   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3296   PetscFunctionReturn(0);
3297 }
3298 
3299 #undef __FUNCT__
3300 #define __FUNCT__ "MatMatSolve_Basic"
3301 PetscErrorCode MatMatSolve_Basic(Mat A,Mat B,Mat X)
3302 {
3303   PetscErrorCode ierr;
3304   Vec            b,x;
3305   PetscInt       m,N,i;
3306   PetscScalar    *bb,*xx;
3307   PetscBool      flg;
3308 
3309   PetscFunctionBegin;
3310   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
3311   if (!flg) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
3312   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
3313   if (!flg) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
3314 
3315   ierr = MatDenseGetArray(B,&bb);CHKERRQ(ierr);
3316   ierr = MatDenseGetArray(X,&xx);CHKERRQ(ierr);
3317   ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);  /* number local rows */
3318   ierr = MatGetSize(B,NULL,&N);CHKERRQ(ierr);       /* total columns in dense matrix */
3319   ierr = MatCreateVecs(A,&x,&b);CHKERRQ(ierr);
3320   for (i=0; i<N; i++) {
3321     ierr = VecPlaceArray(b,bb + i*m);CHKERRQ(ierr);
3322     ierr = VecPlaceArray(x,xx + i*m);CHKERRQ(ierr);
3323     ierr = MatSolve(A,b,x);CHKERRQ(ierr);
3324     ierr = VecResetArray(x);CHKERRQ(ierr);
3325     ierr = VecResetArray(b);CHKERRQ(ierr);
3326   }
3327   ierr = VecDestroy(&b);CHKERRQ(ierr);
3328   ierr = VecDestroy(&x);CHKERRQ(ierr);
3329   ierr = MatDenseRestoreArray(B,&bb);CHKERRQ(ierr);
3330   ierr = MatDenseRestoreArray(X,&xx);CHKERRQ(ierr);
3331   PetscFunctionReturn(0);
3332 }
3333 
3334 #undef __FUNCT__
3335 #define __FUNCT__ "MatMatSolve"
3336 /*@
3337    MatMatSolve - Solves A X = B, given a factored matrix.
3338 
3339    Neighbor-wise Collective on Mat
3340 
3341    Input Parameters:
3342 +  A - the factored matrix
3343 -  B - the right-hand-side matrix  (dense matrix)
3344 
3345    Output Parameter:
3346 .  X - the result matrix (dense matrix)
3347 
3348    Notes:
3349    The matrices b and x cannot be the same.  I.e., one cannot
3350    call MatMatSolve(A,x,x).
3351 
3352    Notes:
3353    Most users should usually employ the simplified KSP interface for linear solvers
3354    instead of working directly with matrix algebra routines such as this.
3355    See, e.g., KSPCreate(). However KSP can only solve for one vector (column of X)
3356    at a time.
3357 
3358    When using SuperLU_Dist as a parallel solver PETSc will use the SuperLU_Dist functionality to solve multiple right hand sides simultaneously. For MUMPS
3359    it calls a separate solve for each right hand side since MUMPS does not yet support distributed right hand sides.
3360 
3361    Since the resulting matrix X must always be dense we do not support sparse representation of the matrix B.
3362 
3363    Level: developer
3364 
3365    Concepts: matrices^triangular solves
3366 
3367 .seealso: MatMatSolveAdd(), MatMatSolveTranspose(), MatMatSolveTransposeAdd(), MatLUFactor(), MatCholeskyFactor()
3368 @*/
3369 PetscErrorCode MatMatSolve(Mat A,Mat B,Mat X)
3370 {
3371   PetscErrorCode ierr;
3372 
3373   PetscFunctionBegin;
3374   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
3375   PetscValidType(A,1);
3376   PetscValidHeaderSpecific(B,MAT_CLASSID,2);
3377   PetscValidHeaderSpecific(X,MAT_CLASSID,3);
3378   PetscCheckSameComm(A,1,B,2);
3379   PetscCheckSameComm(A,1,X,3);
3380   if (X == B) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_IDN,"X and B must be different matrices");
3381   if (!A->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3382   if (A->cmap->N != X->rmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Mat A,Mat X: global dim %D %D",A->cmap->N,X->rmap->N);
3383   if (A->rmap->N != B->rmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Mat A,Mat B: global dim %D %D",A->rmap->N,B->rmap->N);
3384   if (A->rmap->n != B->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat A,Mat B: local dim %D %D",A->rmap->n,B->rmap->n);
3385   if (X->cmap->N < B->cmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Solution matrix must have same number of columns as rhs matrix");
3386   if (!A->rmap->N && !A->cmap->N) PetscFunctionReturn(0);
3387   MatCheckPreallocated(A,1);
3388 
3389   ierr = PetscLogEventBegin(MAT_MatSolve,A,B,X,0);CHKERRQ(ierr);
3390   if (!A->ops->matsolve) {
3391     ierr = PetscInfo1(A,"Mat type %s using basic MatMatSolve\n",((PetscObject)A)->type_name);CHKERRQ(ierr);
3392     ierr = MatMatSolve_Basic(A,B,X);CHKERRQ(ierr);
3393   } else {
3394     ierr = (*A->ops->matsolve)(A,B,X);CHKERRQ(ierr);
3395   }
3396   ierr = PetscLogEventEnd(MAT_MatSolve,A,B,X,0);CHKERRQ(ierr);
3397   ierr = PetscObjectStateIncrease((PetscObject)X);CHKERRQ(ierr);
3398   PetscFunctionReturn(0);
3399 }
3400 
3401 
3402 #undef __FUNCT__
3403 #define __FUNCT__ "MatForwardSolve"
3404 /*@
3405    MatForwardSolve - Solves L x = b, given a factored matrix, A = LU, or
3406                             U^T*D^(1/2) x = b, given a factored symmetric matrix, A = U^T*D*U,
3407 
3408    Neighbor-wise Collective on Mat and Vec
3409 
3410    Input Parameters:
3411 +  mat - the factored matrix
3412 -  b - the right-hand-side vector
3413 
3414    Output Parameter:
3415 .  x - the result vector
3416 
3417    Notes:
3418    MatSolve() should be used for most applications, as it performs
3419    a forward solve followed by a backward solve.
3420 
3421    The vectors b and x cannot be the same,  i.e., one cannot
3422    call MatForwardSolve(A,x,x).
3423 
3424    For matrix in seqsbaij format with block size larger than 1,
3425    the diagonal blocks are not implemented as D = D^(1/2) * D^(1/2) yet.
3426    MatForwardSolve() solves U^T*D y = b, and
3427    MatBackwardSolve() solves U x = y.
3428    Thus they do not provide a symmetric preconditioner.
3429 
3430    Most users should employ the simplified KSP interface for linear solvers
3431    instead of working directly with matrix algebra routines such as this.
3432    See, e.g., KSPCreate().
3433 
3434    Level: developer
3435 
3436    Concepts: matrices^forward solves
3437 
3438 .seealso: MatSolve(), MatBackwardSolve()
3439 @*/
3440 PetscErrorCode MatForwardSolve(Mat mat,Vec b,Vec x)
3441 {
3442   PetscErrorCode ierr;
3443 
3444   PetscFunctionBegin;
3445   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3446   PetscValidType(mat,1);
3447   PetscValidHeaderSpecific(b,VEC_CLASSID,2);
3448   PetscValidHeaderSpecific(x,VEC_CLASSID,3);
3449   PetscCheckSameComm(mat,1,b,2);
3450   PetscCheckSameComm(mat,1,x,3);
3451   if (x == b) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3452   if (!mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3453   if (!mat->ops->forwardsolve) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3454   if (mat->cmap->N != x->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
3455   if (mat->rmap->N != b->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
3456   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
3457   MatCheckPreallocated(mat,1);
3458   ierr = PetscLogEventBegin(MAT_ForwardSolve,mat,b,x,0);CHKERRQ(ierr);
3459   ierr = (*mat->ops->forwardsolve)(mat,b,x);CHKERRQ(ierr);
3460   ierr = PetscLogEventEnd(MAT_ForwardSolve,mat,b,x,0);CHKERRQ(ierr);
3461   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3462   PetscFunctionReturn(0);
3463 }
3464 
3465 #undef __FUNCT__
3466 #define __FUNCT__ "MatBackwardSolve"
3467 /*@
3468    MatBackwardSolve - Solves U x = b, given a factored matrix, A = LU.
3469                              D^(1/2) U x = b, given a factored symmetric matrix, A = U^T*D*U,
3470 
3471    Neighbor-wise Collective on Mat and Vec
3472 
3473    Input Parameters:
3474 +  mat - the factored matrix
3475 -  b - the right-hand-side vector
3476 
3477    Output Parameter:
3478 .  x - the result vector
3479 
3480    Notes:
3481    MatSolve() should be used for most applications, as it performs
3482    a forward solve followed by a backward solve.
3483 
3484    The vectors b and x cannot be the same.  I.e., one cannot
3485    call MatBackwardSolve(A,x,x).
3486 
3487    For matrix in seqsbaij format with block size larger than 1,
3488    the diagonal blocks are not implemented as D = D^(1/2) * D^(1/2) yet.
3489    MatForwardSolve() solves U^T*D y = b, and
3490    MatBackwardSolve() solves U x = y.
3491    Thus they do not provide a symmetric preconditioner.
3492 
3493    Most users should employ the simplified KSP interface for linear solvers
3494    instead of working directly with matrix algebra routines such as this.
3495    See, e.g., KSPCreate().
3496 
3497    Level: developer
3498 
3499    Concepts: matrices^backward solves
3500 
3501 .seealso: MatSolve(), MatForwardSolve()
3502 @*/
3503 PetscErrorCode MatBackwardSolve(Mat mat,Vec b,Vec x)
3504 {
3505   PetscErrorCode ierr;
3506 
3507   PetscFunctionBegin;
3508   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3509   PetscValidType(mat,1);
3510   PetscValidHeaderSpecific(b,VEC_CLASSID,2);
3511   PetscValidHeaderSpecific(x,VEC_CLASSID,3);
3512   PetscCheckSameComm(mat,1,b,2);
3513   PetscCheckSameComm(mat,1,x,3);
3514   if (x == b) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3515   if (!mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3516   if (!mat->ops->backwardsolve) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3517   if (mat->cmap->N != x->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
3518   if (mat->rmap->N != b->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
3519   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
3520   MatCheckPreallocated(mat,1);
3521 
3522   ierr = PetscLogEventBegin(MAT_BackwardSolve,mat,b,x,0);CHKERRQ(ierr);
3523   ierr = (*mat->ops->backwardsolve)(mat,b,x);CHKERRQ(ierr);
3524   ierr = PetscLogEventEnd(MAT_BackwardSolve,mat,b,x,0);CHKERRQ(ierr);
3525   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3526   PetscFunctionReturn(0);
3527 }
3528 
3529 #undef __FUNCT__
3530 #define __FUNCT__ "MatSolveAdd"
3531 /*@
3532    MatSolveAdd - Computes x = y + inv(A)*b, given a factored matrix.
3533 
3534    Neighbor-wise Collective on Mat and Vec
3535 
3536    Input Parameters:
3537 +  mat - the factored matrix
3538 .  b - the right-hand-side vector
3539 -  y - the vector to be added to
3540 
3541    Output Parameter:
3542 .  x - the result vector
3543 
3544    Notes:
3545    The vectors b and x cannot be the same.  I.e., one cannot
3546    call MatSolveAdd(A,x,y,x).
3547 
3548    Most users should employ the simplified KSP interface for linear solvers
3549    instead of working directly with matrix algebra routines such as this.
3550    See, e.g., KSPCreate().
3551 
3552    Level: developer
3553 
3554    Concepts: matrices^triangular solves
3555 
3556 .seealso: MatSolve(), MatSolveTranspose(), MatSolveTransposeAdd()
3557 @*/
3558 PetscErrorCode MatSolveAdd(Mat mat,Vec b,Vec y,Vec x)
3559 {
3560   PetscScalar    one = 1.0;
3561   Vec            tmp;
3562   PetscErrorCode ierr;
3563 
3564   PetscFunctionBegin;
3565   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3566   PetscValidType(mat,1);
3567   PetscValidHeaderSpecific(y,VEC_CLASSID,2);
3568   PetscValidHeaderSpecific(b,VEC_CLASSID,3);
3569   PetscValidHeaderSpecific(x,VEC_CLASSID,4);
3570   PetscCheckSameComm(mat,1,b,2);
3571   PetscCheckSameComm(mat,1,y,2);
3572   PetscCheckSameComm(mat,1,x,3);
3573   if (x == b) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3574   if (!mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3575   if (mat->cmap->N != x->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
3576   if (mat->rmap->N != b->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
3577   if (mat->rmap->N != y->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->rmap->N,y->map->N);
3578   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
3579   if (x->map->n != y->map->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Vec x,Vec y: local dim %D %D",x->map->n,y->map->n);
3580   MatCheckPreallocated(mat,1);
3581 
3582   ierr = PetscLogEventBegin(MAT_SolveAdd,mat,b,x,y);CHKERRQ(ierr);
3583   if (mat->ops->solveadd) {
3584     ierr = (*mat->ops->solveadd)(mat,b,y,x);CHKERRQ(ierr);
3585   } else {
3586     /* do the solve then the add manually */
3587     if (x != y) {
3588       ierr = MatSolve(mat,b,x);CHKERRQ(ierr);
3589       ierr = VecAXPY(x,one,y);CHKERRQ(ierr);
3590     } else {
3591       ierr = VecDuplicate(x,&tmp);CHKERRQ(ierr);
3592       ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)tmp);CHKERRQ(ierr);
3593       ierr = VecCopy(x,tmp);CHKERRQ(ierr);
3594       ierr = MatSolve(mat,b,x);CHKERRQ(ierr);
3595       ierr = VecAXPY(x,one,tmp);CHKERRQ(ierr);
3596       ierr = VecDestroy(&tmp);CHKERRQ(ierr);
3597     }
3598   }
3599   ierr = PetscLogEventEnd(MAT_SolveAdd,mat,b,x,y);CHKERRQ(ierr);
3600   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3601   PetscFunctionReturn(0);
3602 }
3603 
3604 #undef __FUNCT__
3605 #define __FUNCT__ "MatSolveTranspose"
3606 /*@
3607    MatSolveTranspose - Solves A' x = b, given a factored matrix.
3608 
3609    Neighbor-wise Collective on Mat and Vec
3610 
3611    Input Parameters:
3612 +  mat - the factored matrix
3613 -  b - the right-hand-side vector
3614 
3615    Output Parameter:
3616 .  x - the result vector
3617 
3618    Notes:
3619    The vectors b and x cannot be the same.  I.e., one cannot
3620    call MatSolveTranspose(A,x,x).
3621 
3622    Most users should employ the simplified KSP interface for linear solvers
3623    instead of working directly with matrix algebra routines such as this.
3624    See, e.g., KSPCreate().
3625 
3626    Level: developer
3627 
3628    Concepts: matrices^triangular solves
3629 
3630 .seealso: MatSolve(), MatSolveAdd(), MatSolveTransposeAdd()
3631 @*/
3632 PetscErrorCode MatSolveTranspose(Mat mat,Vec b,Vec x)
3633 {
3634   PetscErrorCode ierr;
3635 
3636   PetscFunctionBegin;
3637   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3638   PetscValidType(mat,1);
3639   PetscValidHeaderSpecific(b,VEC_CLASSID,2);
3640   PetscValidHeaderSpecific(x,VEC_CLASSID,3);
3641   PetscCheckSameComm(mat,1,b,2);
3642   PetscCheckSameComm(mat,1,x,3);
3643   if (!mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3644   if (x == b) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3645   if (!mat->ops->solvetranspose) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Matrix type %s",((PetscObject)mat)->type_name);
3646   if (mat->rmap->N != x->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->rmap->N,x->map->N);
3647   if (mat->cmap->N != b->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->cmap->N,b->map->N);
3648   MatCheckPreallocated(mat,1);
3649   ierr = PetscLogEventBegin(MAT_SolveTranspose,mat,b,x,0);CHKERRQ(ierr);
3650   if (mat->errortype) {
3651     ierr = PetscInfo1(mat,"MatFactorError %D\n",mat->errortype);CHKERRQ(ierr);
3652     ierr = VecSetInf(x);CHKERRQ(ierr);
3653   } else {
3654     ierr = (*mat->ops->solvetranspose)(mat,b,x);CHKERRQ(ierr);
3655   }
3656   ierr = PetscLogEventEnd(MAT_SolveTranspose,mat,b,x,0);CHKERRQ(ierr);
3657   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3658   PetscFunctionReturn(0);
3659 }
3660 
3661 #undef __FUNCT__
3662 #define __FUNCT__ "MatSolveTransposeAdd"
3663 /*@
3664    MatSolveTransposeAdd - Computes x = y + inv(Transpose(A)) b, given a
3665                       factored matrix.
3666 
3667    Neighbor-wise Collective on Mat and Vec
3668 
3669    Input Parameters:
3670 +  mat - the factored matrix
3671 .  b - the right-hand-side vector
3672 -  y - the vector to be added to
3673 
3674    Output Parameter:
3675 .  x - the result vector
3676 
3677    Notes:
3678    The vectors b and x cannot be the same.  I.e., one cannot
3679    call MatSolveTransposeAdd(A,x,y,x).
3680 
3681    Most users should employ the simplified KSP interface for linear solvers
3682    instead of working directly with matrix algebra routines such as this.
3683    See, e.g., KSPCreate().
3684 
3685    Level: developer
3686 
3687    Concepts: matrices^triangular solves
3688 
3689 .seealso: MatSolve(), MatSolveAdd(), MatSolveTranspose()
3690 @*/
3691 PetscErrorCode MatSolveTransposeAdd(Mat mat,Vec b,Vec y,Vec x)
3692 {
3693   PetscScalar    one = 1.0;
3694   PetscErrorCode ierr;
3695   Vec            tmp;
3696 
3697   PetscFunctionBegin;
3698   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3699   PetscValidType(mat,1);
3700   PetscValidHeaderSpecific(y,VEC_CLASSID,2);
3701   PetscValidHeaderSpecific(b,VEC_CLASSID,3);
3702   PetscValidHeaderSpecific(x,VEC_CLASSID,4);
3703   PetscCheckSameComm(mat,1,b,2);
3704   PetscCheckSameComm(mat,1,y,3);
3705   PetscCheckSameComm(mat,1,x,4);
3706   if (x == b) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3707   if (!mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3708   if (mat->rmap->N != x->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->rmap->N,x->map->N);
3709   if (mat->cmap->N != b->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->cmap->N,b->map->N);
3710   if (mat->cmap->N != y->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->cmap->N,y->map->N);
3711   if (x->map->n != y->map->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Vec x,Vec y: local dim %D %D",x->map->n,y->map->n);
3712   MatCheckPreallocated(mat,1);
3713 
3714   ierr = PetscLogEventBegin(MAT_SolveTransposeAdd,mat,b,x,y);CHKERRQ(ierr);
3715   if (mat->ops->solvetransposeadd) {
3716     if (mat->errortype) {
3717       ierr = PetscInfo1(mat,"MatFactorError %D\n",mat->errortype);CHKERRQ(ierr);
3718       ierr = VecSetInf(x);CHKERRQ(ierr);
3719     } else {
3720       ierr = (*mat->ops->solvetransposeadd)(mat,b,y,x);CHKERRQ(ierr);
3721     }
3722   } else {
3723     /* do the solve then the add manually */
3724     if (x != y) {
3725       ierr = MatSolveTranspose(mat,b,x);CHKERRQ(ierr);
3726       ierr = VecAXPY(x,one,y);CHKERRQ(ierr);
3727     } else {
3728       ierr = VecDuplicate(x,&tmp);CHKERRQ(ierr);
3729       ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)tmp);CHKERRQ(ierr);
3730       ierr = VecCopy(x,tmp);CHKERRQ(ierr);
3731       ierr = MatSolveTranspose(mat,b,x);CHKERRQ(ierr);
3732       ierr = VecAXPY(x,one,tmp);CHKERRQ(ierr);
3733       ierr = VecDestroy(&tmp);CHKERRQ(ierr);
3734     }
3735   }
3736   ierr = PetscLogEventEnd(MAT_SolveTransposeAdd,mat,b,x,y);CHKERRQ(ierr);
3737   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3738   PetscFunctionReturn(0);
3739 }
3740 /* ----------------------------------------------------------------*/
3741 
3742 #undef __FUNCT__
3743 #define __FUNCT__ "MatSOR"
3744 /*@
3745    MatSOR - Computes relaxation (SOR, Gauss-Seidel) sweeps.
3746 
3747    Neighbor-wise Collective on Mat and Vec
3748 
3749    Input Parameters:
3750 +  mat - the matrix
3751 .  b - the right hand side
3752 .  omega - the relaxation factor
3753 .  flag - flag indicating the type of SOR (see below)
3754 .  shift -  diagonal shift
3755 .  its - the number of iterations
3756 -  lits - the number of local iterations
3757 
3758    Output Parameters:
3759 .  x - the solution (can contain an initial guess, use option SOR_ZERO_INITIAL_GUESS to indicate no guess)
3760 
3761    SOR Flags:
3762 .     SOR_FORWARD_SWEEP - forward SOR
3763 .     SOR_BACKWARD_SWEEP - backward SOR
3764 .     SOR_SYMMETRIC_SWEEP - SSOR (symmetric SOR)
3765 .     SOR_LOCAL_FORWARD_SWEEP - local forward SOR
3766 .     SOR_LOCAL_BACKWARD_SWEEP - local forward SOR
3767 .     SOR_LOCAL_SYMMETRIC_SWEEP - local SSOR
3768 .     SOR_APPLY_UPPER, SOR_APPLY_LOWER - applies
3769          upper/lower triangular part of matrix to
3770          vector (with omega)
3771 .     SOR_ZERO_INITIAL_GUESS - zero initial guess
3772 
3773    Notes:
3774    SOR_LOCAL_FORWARD_SWEEP, SOR_LOCAL_BACKWARD_SWEEP, and
3775    SOR_LOCAL_SYMMETRIC_SWEEP perform separate independent smoothings
3776    on each processor.
3777 
3778    Application programmers will not generally use MatSOR() directly,
3779    but instead will employ the KSP/PC interface.
3780 
3781    Notes: for BAIJ, SBAIJ, and AIJ matrices with Inodes this does a block SOR smoothing, otherwise it does a pointwise smoothing
3782 
3783    Notes for Advanced Users:
3784    The flags are implemented as bitwise inclusive or operations.
3785    For example, use (SOR_ZERO_INITIAL_GUESS | SOR_SYMMETRIC_SWEEP)
3786    to specify a zero initial guess for SSOR.
3787 
3788    Most users should employ the simplified KSP interface for linear solvers
3789    instead of working directly with matrix algebra routines such as this.
3790    See, e.g., KSPCreate().
3791 
3792    Vectors x and b CANNOT be the same
3793 
3794    Developer Note: We should add block SOR support for AIJ matrices with block size set to great than one and no inodes
3795 
3796    Level: developer
3797 
3798    Concepts: matrices^relaxation
3799    Concepts: matrices^SOR
3800    Concepts: matrices^Gauss-Seidel
3801 
3802 @*/
3803 PetscErrorCode MatSOR(Mat mat,Vec b,PetscReal omega,MatSORType flag,PetscReal shift,PetscInt its,PetscInt lits,Vec x)
3804 {
3805   PetscErrorCode ierr;
3806 
3807   PetscFunctionBegin;
3808   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3809   PetscValidType(mat,1);
3810   PetscValidHeaderSpecific(b,VEC_CLASSID,2);
3811   PetscValidHeaderSpecific(x,VEC_CLASSID,8);
3812   PetscCheckSameComm(mat,1,b,2);
3813   PetscCheckSameComm(mat,1,x,8);
3814   if (!mat->ops->sor) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3815   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3816   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3817   if (mat->cmap->N != x->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
3818   if (mat->rmap->N != b->map->N) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
3819   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
3820   if (its <= 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D positive",its);
3821   if (lits <= 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Relaxation requires local its %D positive",lits);
3822   if (b == x) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_IDN,"b and x vector cannot be the same");
3823 
3824   MatCheckPreallocated(mat,1);
3825   ierr = PetscLogEventBegin(MAT_SOR,mat,b,x,0);CHKERRQ(ierr);
3826   ierr =(*mat->ops->sor)(mat,b,omega,flag,shift,its,lits,x);CHKERRQ(ierr);
3827   ierr = PetscLogEventEnd(MAT_SOR,mat,b,x,0);CHKERRQ(ierr);
3828   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3829   PetscFunctionReturn(0);
3830 }
3831 
3832 #undef __FUNCT__
3833 #define __FUNCT__ "MatCopy_Basic"
3834 /*
3835       Default matrix copy routine.
3836 */
3837 PetscErrorCode MatCopy_Basic(Mat A,Mat B,MatStructure str)
3838 {
3839   PetscErrorCode    ierr;
3840   PetscInt          i,rstart = 0,rend = 0,nz;
3841   const PetscInt    *cwork;
3842   const PetscScalar *vwork;
3843 
3844   PetscFunctionBegin;
3845   if (B->assembled) {
3846     ierr = MatZeroEntries(B);CHKERRQ(ierr);
3847   }
3848   ierr = MatGetOwnershipRange(A,&rstart,&rend);CHKERRQ(ierr);
3849   for (i=rstart; i<rend; i++) {
3850     ierr = MatGetRow(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
3851     ierr = MatSetValues(B,1,&i,nz,cwork,vwork,INSERT_VALUES);CHKERRQ(ierr);
3852     ierr = MatRestoreRow(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
3853   }
3854   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3855   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3856   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3857   PetscFunctionReturn(0);
3858 }
3859 
3860 #undef __FUNCT__
3861 #define __FUNCT__ "MatCopy"
3862 /*@
3863    MatCopy - Copys a matrix to another matrix.
3864 
3865    Collective on Mat
3866 
3867    Input Parameters:
3868 +  A - the matrix
3869 -  str - SAME_NONZERO_PATTERN or DIFFERENT_NONZERO_PATTERN
3870 
3871    Output Parameter:
3872 .  B - where the copy is put
3873 
3874    Notes:
3875    If you use SAME_NONZERO_PATTERN then the two matrices had better have the
3876    same nonzero pattern or the routine will crash.
3877 
3878    MatCopy() copies the matrix entries of a matrix to another existing
3879    matrix (after first zeroing the second matrix).  A related routine is
3880    MatConvert(), which first creates a new matrix and then copies the data.
3881 
3882    Level: intermediate
3883 
3884    Concepts: matrices^copying
3885 
3886 .seealso: MatConvert(), MatDuplicate()
3887 
3888 @*/
3889 PetscErrorCode MatCopy(Mat A,Mat B,MatStructure str)
3890 {
3891   PetscErrorCode ierr;
3892   PetscInt       i;
3893 
3894   PetscFunctionBegin;
3895   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
3896   PetscValidHeaderSpecific(B,MAT_CLASSID,2);
3897   PetscValidType(A,1);
3898   PetscValidType(B,2);
3899   PetscCheckSameComm(A,1,B,2);
3900   MatCheckPreallocated(B,2);
3901   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3902   if (A->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3903   if (A->rmap->N != B->rmap->N || A->cmap->N != B->cmap->N) SETERRQ4(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Mat A,Mat B: global dim (%D,%D) (%D,%D)",A->rmap->N,B->rmap->N,A->cmap->N,B->cmap->N);
3904   MatCheckPreallocated(A,1);
3905 
3906   ierr = PetscLogEventBegin(MAT_Copy,A,B,0,0);CHKERRQ(ierr);
3907   if (A->ops->copy) {
3908     ierr = (*A->ops->copy)(A,B,str);CHKERRQ(ierr);
3909   } else { /* generic conversion */
3910     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
3911   }
3912 
3913   B->stencil.dim = A->stencil.dim;
3914   B->stencil.noc = A->stencil.noc;
3915   for (i=0; i<=A->stencil.dim; i++) {
3916     B->stencil.dims[i]   = A->stencil.dims[i];
3917     B->stencil.starts[i] = A->stencil.starts[i];
3918   }
3919 
3920   ierr = PetscLogEventEnd(MAT_Copy,A,B,0,0);CHKERRQ(ierr);
3921   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3922   PetscFunctionReturn(0);
3923 }
3924 
3925 #undef __FUNCT__
3926 #define __FUNCT__ "MatConvert"
3927 /*@C
3928    MatConvert - Converts a matrix to another matrix, either of the same
3929    or different type.
3930 
3931    Collective on Mat
3932 
3933    Input Parameters:
3934 +  mat - the matrix
3935 .  newtype - new matrix type.  Use MATSAME to create a new matrix of the
3936    same type as the original matrix.
3937 -  reuse - denotes if the destination matrix is to be created or reused.
3938    Use MAT_INPLACE_MATRIX for inplace conversion, otherwise use
3939    MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX.
3940 
3941    Output Parameter:
3942 .  M - pointer to place new matrix
3943 
3944    Notes:
3945    MatConvert() first creates a new matrix and then copies the data from
3946    the first matrix.  A related routine is MatCopy(), which copies the matrix
3947    entries of one matrix to another already existing matrix context.
3948 
3949    Cannot be used to convert a sequential matrix to parallel or parallel to sequential,
3950    the MPI communicator of the generated matrix is always the same as the communicator
3951    of the input matrix.
3952 
3953    Level: intermediate
3954 
3955    Concepts: matrices^converting between storage formats
3956 
3957 .seealso: MatCopy(), MatDuplicate()
3958 @*/
3959 PetscErrorCode MatConvert(Mat mat, MatType newtype,MatReuse reuse,Mat *M)
3960 {
3961   PetscErrorCode ierr;
3962   PetscBool      sametype,issame,flg;
3963   char           convname[256],mtype[256];
3964   Mat            B;
3965 
3966   PetscFunctionBegin;
3967   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3968   PetscValidType(mat,1);
3969   PetscValidPointer(M,3);
3970   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3971   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3972   MatCheckPreallocated(mat,1);
3973   ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
3974 
3975   ierr = PetscOptionsGetString(((PetscObject)mat)->options,((PetscObject)mat)->prefix,"-matconvert_type",mtype,256,&flg);CHKERRQ(ierr);
3976   if (flg) {
3977     newtype = mtype;
3978   }
3979   ierr = PetscObjectTypeCompare((PetscObject)mat,newtype,&sametype);CHKERRQ(ierr);
3980   ierr = PetscStrcmp(newtype,"same",&issame);CHKERRQ(ierr);
3981   if ((reuse == MAT_INPLACE_MATRIX) && (mat != *M)) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"MAT_INPLACE_MATRIX requires same input and output matrix");
3982 
3983   if ((reuse == MAT_INPLACE_MATRIX) && (issame || sametype)) PetscFunctionReturn(0);
3984 
3985   if ((sametype || issame) && (reuse==MAT_INITIAL_MATRIX) && mat->ops->duplicate) {
3986     ierr = (*mat->ops->duplicate)(mat,MAT_COPY_VALUES,M);CHKERRQ(ierr);
3987   } else {
3988     PetscErrorCode (*conv)(Mat, MatType,MatReuse,Mat*)=NULL;
3989     const char     *prefix[3] = {"seq","mpi",""};
3990     PetscInt       i;
3991     /*
3992        Order of precedence:
3993        1) See if a specialized converter is known to the current matrix.
3994        2) See if a specialized converter is known to the desired matrix class.
3995        3) See if a good general converter is registered for the desired class
3996           (as of 6/27/03 only MATMPIADJ falls into this category).
3997        4) See if a good general converter is known for the current matrix.
3998        5) Use a really basic converter.
3999     */
4000 
4001     /* 1) See if a specialized converter is known to the current matrix and the desired class */
4002     for (i=0; i<3; i++) {
4003       ierr = PetscStrcpy(convname,"MatConvert_");CHKERRQ(ierr);
4004       ierr = PetscStrcat(convname,((PetscObject)mat)->type_name);CHKERRQ(ierr);
4005       ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
4006       ierr = PetscStrcat(convname,prefix[i]);CHKERRQ(ierr);
4007       ierr = PetscStrcat(convname,issame ? ((PetscObject)mat)->type_name : newtype);CHKERRQ(ierr);
4008       ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
4009       ierr = PetscObjectQueryFunction((PetscObject)mat,convname,&conv);CHKERRQ(ierr);
4010       if (conv) goto foundconv;
4011     }
4012 
4013     /* 2)  See if a specialized converter is known to the desired matrix class. */
4014     ierr = MatCreate(PetscObjectComm((PetscObject)mat),&B);CHKERRQ(ierr);
4015     ierr = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->N,mat->cmap->N);CHKERRQ(ierr);
4016     ierr = MatSetType(B,newtype);CHKERRQ(ierr);
4017     for (i=0; i<3; i++) {
4018       ierr = PetscStrcpy(convname,"MatConvert_");CHKERRQ(ierr);
4019       ierr = PetscStrcat(convname,((PetscObject)mat)->type_name);CHKERRQ(ierr);
4020       ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
4021       ierr = PetscStrcat(convname,prefix[i]);CHKERRQ(ierr);
4022       ierr = PetscStrcat(convname,newtype);CHKERRQ(ierr);
4023       ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
4024       ierr = PetscObjectQueryFunction((PetscObject)B,convname,&conv);CHKERRQ(ierr);
4025       if (conv) {
4026         ierr = MatDestroy(&B);CHKERRQ(ierr);
4027         goto foundconv;
4028       }
4029     }
4030 
4031     /* 3) See if a good general converter is registered for the desired class */
4032     conv = B->ops->convertfrom;
4033     ierr = MatDestroy(&B);CHKERRQ(ierr);
4034     if (conv) goto foundconv;
4035 
4036     /* 4) See if a good general converter is known for the current matrix */
4037     if (mat->ops->convert) {
4038       conv = mat->ops->convert;
4039     }
4040     if (conv) goto foundconv;
4041 
4042     /* 5) Use a really basic converter. */
4043     conv = MatConvert_Basic;
4044 
4045 foundconv:
4046     ierr = PetscLogEventBegin(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
4047     ierr = (*conv)(mat,newtype,reuse,M);CHKERRQ(ierr);
4048     ierr = PetscLogEventEnd(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
4049   }
4050   ierr = PetscObjectStateIncrease((PetscObject)*M);CHKERRQ(ierr);
4051 
4052   /* Copy Mat options */
4053   if (mat->symmetric) {ierr = MatSetOption(*M,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);}
4054   if (mat->hermitian) {ierr = MatSetOption(*M,MAT_HERMITIAN,PETSC_TRUE);CHKERRQ(ierr);}
4055   PetscFunctionReturn(0);
4056 }
4057 
4058 #undef __FUNCT__
4059 #define __FUNCT__ "MatFactorGetSolverPackage"
4060 /*@C
4061    MatFactorGetSolverPackage - Returns name of the package providing the factorization routines
4062 
4063    Not Collective
4064 
4065    Input Parameter:
4066 .  mat - the matrix, must be a factored matrix
4067 
4068    Output Parameter:
4069 .   type - the string name of the package (do not free this string)
4070 
4071    Notes:
4072       In Fortran you pass in a empty string and the package name will be copied into it.
4073     (Make sure the string is long enough)
4074 
4075    Level: intermediate
4076 
4077 .seealso: MatCopy(), MatDuplicate(), MatGetFactorAvailable(), MatGetFactor()
4078 @*/
4079 PetscErrorCode MatFactorGetSolverPackage(Mat mat, const MatSolverPackage *type)
4080 {
4081   PetscErrorCode ierr, (*conv)(Mat,const MatSolverPackage*);
4082 
4083   PetscFunctionBegin;
4084   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4085   PetscValidType(mat,1);
4086   if (!mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
4087   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatFactorGetSolverPackage_C",&conv);CHKERRQ(ierr);
4088   if (!conv) {
4089     *type = MATSOLVERPETSC;
4090   } else {
4091     ierr = (*conv)(mat,type);CHKERRQ(ierr);
4092   }
4093   PetscFunctionReturn(0);
4094 }
4095 
4096 typedef struct _MatSolverPackageForSpecifcType* MatSolverPackageForSpecifcType;
4097 struct _MatSolverPackageForSpecifcType {
4098   MatType                        mtype;
4099   PetscErrorCode                 (*getfactor[4])(Mat,MatFactorType,Mat*);
4100   MatSolverPackageForSpecifcType next;
4101 };
4102 
4103 typedef struct _MatSolverPackageHolder* MatSolverPackageHolder;
4104 struct _MatSolverPackageHolder {
4105   char                           *name;
4106   MatSolverPackageForSpecifcType handlers;
4107   MatSolverPackageHolder         next;
4108 };
4109 
4110 static MatSolverPackageHolder MatSolverPackageHolders = NULL;
4111 
4112 #undef __FUNCT__
4113 #define __FUNCT__ "MatSolverPackageRegister"
4114 /*@C
4115    MatSolvePackageRegister - Registers a MatSolverPackage that works for a particular matrix type
4116 
4117    Input Parameters:
4118 +    package - name of the package, for example petsc or superlu
4119 .    mtype - the matrix type that works with this package
4120 .    ftype - the type of factorization supported by the package
4121 -    getfactor - routine that will create the factored matrix ready to be used
4122 
4123     Level: intermediate
4124 
4125 .seealso: MatCopy(), MatDuplicate(), MatGetFactorAvailable()
4126 @*/
4127 PetscErrorCode MatSolverPackageRegister(const MatSolverPackage package,const MatType mtype,MatFactorType ftype,PetscErrorCode (*getfactor)(Mat,MatFactorType,Mat*))
4128 {
4129   PetscErrorCode                 ierr;
4130   MatSolverPackageHolder         next = MatSolverPackageHolders,prev;
4131   PetscBool                      flg;
4132   MatSolverPackageForSpecifcType inext,iprev = NULL;
4133 
4134   PetscFunctionBegin;
4135   if (!next) {
4136     ierr = PetscNew(&MatSolverPackageHolders);CHKERRQ(ierr);
4137     ierr = PetscStrallocpy(package,&MatSolverPackageHolders->name);CHKERRQ(ierr);
4138     ierr = PetscNew(&MatSolverPackageHolders->handlers);CHKERRQ(ierr);
4139     ierr = PetscStrallocpy(mtype,(char **)&MatSolverPackageHolders->handlers->mtype);CHKERRQ(ierr);
4140     MatSolverPackageHolders->handlers->getfactor[(int)ftype-1] = getfactor;
4141     PetscFunctionReturn(0);
4142   }
4143   while (next) {
4144     ierr = PetscStrcasecmp(package,next->name,&flg);CHKERRQ(ierr);
4145     if (flg) {
4146       if (!next->handlers) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"MatSolverPackageHolder is missing handlers");
4147       inext = next->handlers;
4148       while (inext) {
4149         ierr = PetscStrcasecmp(mtype,inext->mtype,&flg);CHKERRQ(ierr);
4150         if (flg) {
4151           inext->getfactor[(int)ftype-1] = getfactor;
4152           PetscFunctionReturn(0);
4153         }
4154         iprev = inext;
4155         inext = inext->next;
4156       }
4157       ierr = PetscNew(&iprev->next);CHKERRQ(ierr);
4158       ierr = PetscStrallocpy(mtype,(char **)&iprev->next->mtype);CHKERRQ(ierr);
4159       iprev->next->getfactor[(int)ftype-1] = getfactor;
4160       PetscFunctionReturn(0);
4161     }
4162     prev = next;
4163     next = next->next;
4164   }
4165   ierr = PetscNew(&prev->next);CHKERRQ(ierr);
4166   ierr = PetscStrallocpy(package,&prev->next->name);CHKERRQ(ierr);
4167   ierr = PetscNew(&prev->next->handlers);CHKERRQ(ierr);
4168   ierr = PetscStrallocpy(mtype,(char **)&prev->next->handlers->mtype);CHKERRQ(ierr);
4169   prev->next->handlers->getfactor[(int)ftype-1] = getfactor;
4170   PetscFunctionReturn(0);
4171 }
4172 
4173 #undef __FUNCT__
4174 #define __FUNCT__ "MatSolverPackageGet"
4175 /*@C
4176    MatSolvePackageGet - Get's the function that creates the factor matrix if it exist
4177 
4178    Input Parameters:
4179 +    package - name of the package, for example petsc or superlu
4180 .    ftype - the type of factorization supported by the package
4181 -    mtype - the matrix type that works with this package
4182 
4183    Output Parameters:
4184 +   foundpackage - PETSC_TRUE if the package was registered
4185 .   foundmtype - PETSC_TRUE if the package supports the requested mtype
4186 -   getfactor - routine that will create the factored matrix ready to be used or NULL if not found
4187 
4188     Level: intermediate
4189 
4190 .seealso: MatCopy(), MatDuplicate(), MatGetFactorAvailable()
4191 @*/
4192 PetscErrorCode MatSolverPackageGet(const MatSolverPackage package,const MatType mtype,MatFactorType ftype,PetscBool *foundpackage,PetscBool *foundmtype,PetscErrorCode (**getfactor)(Mat,MatFactorType,Mat*))
4193 {
4194   PetscErrorCode                 ierr;
4195   MatSolverPackageHolder         next = MatSolverPackageHolders;
4196   PetscBool                      flg;
4197   MatSolverPackageForSpecifcType inext;
4198 
4199   PetscFunctionBegin;
4200   if (foundpackage) *foundpackage = PETSC_FALSE;
4201   if (foundmtype)   *foundmtype   = PETSC_FALSE;
4202   if (getfactor)    *getfactor    = NULL;
4203 
4204   if (package) {
4205     while (next) {
4206       ierr = PetscStrcasecmp(package,next->name,&flg);CHKERRQ(ierr);
4207       if (flg) {
4208         if (foundpackage) *foundpackage = PETSC_TRUE;
4209         inext = next->handlers;
4210         while (inext) {
4211           ierr = PetscStrcasecmp(mtype,inext->mtype,&flg);CHKERRQ(ierr);
4212           if (flg) {
4213             if (foundmtype) *foundmtype = PETSC_TRUE;
4214             if (getfactor)  *getfactor  = inext->getfactor[(int)ftype-1];
4215             PetscFunctionReturn(0);
4216           }
4217           inext = inext->next;
4218         }
4219       }
4220       next = next->next;
4221     }
4222   } else {
4223     while (next) {
4224       inext = next->handlers;
4225       while (inext) {
4226         ierr = PetscStrcasecmp(mtype,inext->mtype,&flg);CHKERRQ(ierr);
4227         if (flg && inext->getfactor[(int)ftype-1]) {
4228           if (foundpackage) *foundpackage = PETSC_TRUE;
4229           if (foundmtype)   *foundmtype   = PETSC_TRUE;
4230           if (getfactor)    *getfactor    = inext->getfactor[(int)ftype-1];
4231           PetscFunctionReturn(0);
4232         }
4233         inext = inext->next;
4234       }
4235       next = next->next;
4236     }
4237   }
4238   PetscFunctionReturn(0);
4239 }
4240 
4241 #undef __FUNCT__
4242 #define __FUNCT__ "MatSolverPackageDestroy"
4243 PetscErrorCode MatSolverPackageDestroy(void)
4244 {
4245   PetscErrorCode                 ierr;
4246   MatSolverPackageHolder         next = MatSolverPackageHolders,prev;
4247   MatSolverPackageForSpecifcType inext,iprev;
4248 
4249   PetscFunctionBegin;
4250   while (next) {
4251     ierr = PetscFree(next->name);CHKERRQ(ierr);
4252     inext = next->handlers;
4253     while (inext) {
4254       ierr = PetscFree(inext->mtype);CHKERRQ(ierr);
4255       iprev = inext;
4256       inext = inext->next;
4257       ierr = PetscFree(iprev);CHKERRQ(ierr);
4258     }
4259     prev = next;
4260     next = next->next;
4261     ierr = PetscFree(prev);CHKERRQ(ierr);
4262   }
4263   MatSolverPackageHolders = NULL;
4264   PetscFunctionReturn(0);
4265 }
4266 
4267 #undef __FUNCT__
4268 #define __FUNCT__ "MatGetFactor"
4269 /*@C
4270    MatGetFactor - Returns a matrix suitable to calls to MatXXFactorSymbolic()
4271 
4272    Collective on Mat
4273 
4274    Input Parameters:
4275 +  mat - the matrix
4276 .  type - name of solver type, for example, superlu, petsc (to use PETSc's default)
4277 -  ftype - factor type, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ICC, MAT_FACTOR_ILU,
4278 
4279    Output Parameters:
4280 .  f - the factor matrix used with MatXXFactorSymbolic() calls
4281 
4282    Notes:
4283       Some PETSc matrix formats have alternative solvers available that are contained in alternative packages
4284      such as pastix, superlu, mumps etc.
4285 
4286       PETSc must have been ./configure to use the external solver, using the option --download-package
4287 
4288    Level: intermediate
4289 
4290 .seealso: MatCopy(), MatDuplicate(), MatGetFactorAvailable()
4291 @*/
4292 PetscErrorCode MatGetFactor(Mat mat, const MatSolverPackage type,MatFactorType ftype,Mat *f)
4293 {
4294   PetscErrorCode ierr,(*conv)(Mat,MatFactorType,Mat*);
4295   PetscBool      foundpackage,foundmtype;
4296 
4297   PetscFunctionBegin;
4298   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4299   PetscValidType(mat,1);
4300 
4301   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4302   MatCheckPreallocated(mat,1);
4303 
4304   ierr = MatSolverPackageGet(type,((PetscObject)mat)->type_name,ftype,&foundpackage,&foundmtype,&conv);CHKERRQ(ierr);
4305   if (!foundpackage) {
4306     if (type) {
4307       SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_MISSING_FACTOR,"Could not locate solver package %s. Perhaps you must ./configure with --download-%s",type,type);
4308     } else {
4309       SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_MISSING_FACTOR,"Could not locate a solver package. Perhaps you must ./configure with --download-<package>");
4310     }
4311   }
4312 
4313   if (!foundmtype) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_MISSING_FACTOR,"MatSolverPackage %s does not support matrix type %s",type,((PetscObject)mat)->type_name);
4314   if (!conv) SETERRQ3(PetscObjectComm((PetscObject)mat),PETSC_ERR_MISSING_FACTOR,"MatSolverPackage %s does not support factorization type %s for  matrix type %s",type,MatFactorTypes[ftype],((PetscObject)mat)->type_name);
4315 
4316   ierr = (*conv)(mat,ftype,f);CHKERRQ(ierr);
4317   PetscFunctionReturn(0);
4318 }
4319 
4320 #undef __FUNCT__
4321 #define __FUNCT__ "MatGetFactorAvailable"
4322 /*@C
4323    MatGetFactorAvailable - Returns a a flag if matrix supports particular package and factor type
4324 
4325    Not Collective
4326 
4327    Input Parameters:
4328 +  mat - the matrix
4329 .  type - name of solver type, for example, superlu, petsc (to use PETSc's default)
4330 -  ftype - factor type, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ICC, MAT_FACTOR_ILU,
4331 
4332    Output Parameter:
4333 .    flg - PETSC_TRUE if the factorization is available
4334 
4335    Notes:
4336       Some PETSc matrix formats have alternative solvers available that are contained in alternative packages
4337      such as pastix, superlu, mumps etc.
4338 
4339       PETSc must have been ./configure to use the external solver, using the option --download-package
4340 
4341    Level: intermediate
4342 
4343 .seealso: MatCopy(), MatDuplicate(), MatGetFactor()
4344 @*/
4345 PetscErrorCode MatGetFactorAvailable(Mat mat, const MatSolverPackage type,MatFactorType ftype,PetscBool  *flg)
4346 {
4347   PetscErrorCode ierr, (*gconv)(Mat,MatFactorType,Mat*);
4348 
4349   PetscFunctionBegin;
4350   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4351   PetscValidType(mat,1);
4352 
4353   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4354   MatCheckPreallocated(mat,1);
4355 
4356   *flg = PETSC_FALSE;
4357   ierr = MatSolverPackageGet(type,((PetscObject)mat)->type_name,ftype,NULL,NULL,&gconv);CHKERRQ(ierr);
4358   if (gconv) {
4359     *flg = PETSC_TRUE;
4360   }
4361   PetscFunctionReturn(0);
4362 }
4363 
4364 #include <petscdmtypes.h>
4365 
4366 #undef __FUNCT__
4367 #define __FUNCT__ "MatDuplicate"
4368 /*@
4369    MatDuplicate - Duplicates a matrix including the non-zero structure.
4370 
4371    Collective on Mat
4372 
4373    Input Parameters:
4374 +  mat - the matrix
4375 -  op - either MAT_DO_NOT_COPY_VALUES or MAT_COPY_VALUES, cause it to copy the numerical values in the matrix
4376         MAT_SHARE_NONZERO_PATTERN to share the nonzero patterns with the previous matrix and not copy them.
4377 
4378    Output Parameter:
4379 .  M - pointer to place new matrix
4380 
4381    Level: intermediate
4382 
4383    Concepts: matrices^duplicating
4384 
4385     Notes: You cannot change the nonzero pattern for the parent or child matrix if you use MAT_SHARE_NONZERO_PATTERN.
4386 
4387 .seealso: MatCopy(), MatConvert()
4388 @*/
4389 PetscErrorCode MatDuplicate(Mat mat,MatDuplicateOption op,Mat *M)
4390 {
4391   PetscErrorCode ierr;
4392   Mat            B;
4393   PetscInt       i;
4394   DM             dm;
4395 
4396   PetscFunctionBegin;
4397   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4398   PetscValidType(mat,1);
4399   PetscValidPointer(M,3);
4400   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4401   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4402   MatCheckPreallocated(mat,1);
4403 
4404   *M = 0;
4405   if (!mat->ops->duplicate) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Not written for this matrix type");
4406   ierr = PetscLogEventBegin(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
4407   ierr = (*mat->ops->duplicate)(mat,op,M);CHKERRQ(ierr);
4408   B    = *M;
4409 
4410   B->stencil.dim = mat->stencil.dim;
4411   B->stencil.noc = mat->stencil.noc;
4412   for (i=0; i<=mat->stencil.dim; i++) {
4413     B->stencil.dims[i]   = mat->stencil.dims[i];
4414     B->stencil.starts[i] = mat->stencil.starts[i];
4415   }
4416 
4417   B->nooffproczerorows = mat->nooffproczerorows;
4418   B->nooffprocentries  = mat->nooffprocentries;
4419 
4420   ierr = PetscObjectQuery((PetscObject) mat, "__PETSc_dm", (PetscObject*) &dm);CHKERRQ(ierr);
4421   if (dm) {
4422     ierr = PetscObjectCompose((PetscObject) B, "__PETSc_dm", (PetscObject) dm);CHKERRQ(ierr);
4423   }
4424   ierr = PetscLogEventEnd(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
4425   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
4426   PetscFunctionReturn(0);
4427 }
4428 
4429 #undef __FUNCT__
4430 #define __FUNCT__ "MatGetDiagonal"
4431 /*@
4432    MatGetDiagonal - Gets the diagonal of a matrix.
4433 
4434    Logically Collective on Mat and Vec
4435 
4436    Input Parameters:
4437 +  mat - the matrix
4438 -  v - the vector for storing the diagonal
4439 
4440    Output Parameter:
4441 .  v - the diagonal of the matrix
4442 
4443    Level: intermediate
4444 
4445    Note:
4446    Currently only correct in parallel for square matrices.
4447 
4448    Concepts: matrices^accessing diagonals
4449 
4450 .seealso: MatGetRow(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs()
4451 @*/
4452 PetscErrorCode MatGetDiagonal(Mat mat,Vec v)
4453 {
4454   PetscErrorCode ierr;
4455 
4456   PetscFunctionBegin;
4457   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4458   PetscValidType(mat,1);
4459   PetscValidHeaderSpecific(v,VEC_CLASSID,2);
4460   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4461   if (!mat->ops->getdiagonal) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4462   MatCheckPreallocated(mat,1);
4463 
4464   ierr = (*mat->ops->getdiagonal)(mat,v);CHKERRQ(ierr);
4465   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
4466   PetscFunctionReturn(0);
4467 }
4468 
4469 #undef __FUNCT__
4470 #define __FUNCT__ "MatGetRowMin"
4471 /*@C
4472    MatGetRowMin - Gets the minimum value (of the real part) of each
4473         row of the matrix
4474 
4475    Logically Collective on Mat and Vec
4476 
4477    Input Parameters:
4478 .  mat - the matrix
4479 
4480    Output Parameter:
4481 +  v - the vector for storing the maximums
4482 -  idx - the indices of the column found for each row (optional)
4483 
4484    Level: intermediate
4485 
4486    Notes: The result of this call are the same as if one converted the matrix to dense format
4487       and found the minimum value in each row (i.e. the implicit zeros are counted as zeros).
4488 
4489     This code is only implemented for a couple of matrix formats.
4490 
4491    Concepts: matrices^getting row maximums
4492 
4493 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs(),
4494           MatGetRowMax()
4495 @*/
4496 PetscErrorCode MatGetRowMin(Mat mat,Vec v,PetscInt idx[])
4497 {
4498   PetscErrorCode ierr;
4499 
4500   PetscFunctionBegin;
4501   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4502   PetscValidType(mat,1);
4503   PetscValidHeaderSpecific(v,VEC_CLASSID,2);
4504   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4505   if (!mat->ops->getrowmax) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4506   MatCheckPreallocated(mat,1);
4507 
4508   ierr = (*mat->ops->getrowmin)(mat,v,idx);CHKERRQ(ierr);
4509   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
4510   PetscFunctionReturn(0);
4511 }
4512 
4513 #undef __FUNCT__
4514 #define __FUNCT__ "MatGetRowMinAbs"
4515 /*@C
4516    MatGetRowMinAbs - Gets the minimum value (in absolute value) of each
4517         row of the matrix
4518 
4519    Logically Collective on Mat and Vec
4520 
4521    Input Parameters:
4522 .  mat - the matrix
4523 
4524    Output Parameter:
4525 +  v - the vector for storing the minimums
4526 -  idx - the indices of the column found for each row (or NULL if not needed)
4527 
4528    Level: intermediate
4529 
4530    Notes: if a row is completely empty or has only 0.0 values then the idx[] value for that
4531     row is 0 (the first column).
4532 
4533     This code is only implemented for a couple of matrix formats.
4534 
4535    Concepts: matrices^getting row maximums
4536 
4537 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMaxAbs(), MatGetRowMin()
4538 @*/
4539 PetscErrorCode MatGetRowMinAbs(Mat mat,Vec v,PetscInt idx[])
4540 {
4541   PetscErrorCode ierr;
4542 
4543   PetscFunctionBegin;
4544   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4545   PetscValidType(mat,1);
4546   PetscValidHeaderSpecific(v,VEC_CLASSID,2);
4547   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4548   if (!mat->ops->getrowminabs) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4549   MatCheckPreallocated(mat,1);
4550   if (idx) {ierr = PetscMemzero(idx,mat->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);}
4551 
4552   ierr = (*mat->ops->getrowminabs)(mat,v,idx);CHKERRQ(ierr);
4553   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
4554   PetscFunctionReturn(0);
4555 }
4556 
4557 #undef __FUNCT__
4558 #define __FUNCT__ "MatGetRowMax"
4559 /*@C
4560    MatGetRowMax - Gets the maximum value (of the real part) of each
4561         row of the matrix
4562 
4563    Logically Collective on Mat and Vec
4564 
4565    Input Parameters:
4566 .  mat - the matrix
4567 
4568    Output Parameter:
4569 +  v - the vector for storing the maximums
4570 -  idx - the indices of the column found for each row (optional)
4571 
4572    Level: intermediate
4573 
4574    Notes: The result of this call are the same as if one converted the matrix to dense format
4575       and found the minimum value in each row (i.e. the implicit zeros are counted as zeros).
4576 
4577     This code is only implemented for a couple of matrix formats.
4578 
4579    Concepts: matrices^getting row maximums
4580 
4581 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs(), MatGetRowMin()
4582 @*/
4583 PetscErrorCode MatGetRowMax(Mat mat,Vec v,PetscInt idx[])
4584 {
4585   PetscErrorCode ierr;
4586 
4587   PetscFunctionBegin;
4588   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4589   PetscValidType(mat,1);
4590   PetscValidHeaderSpecific(v,VEC_CLASSID,2);
4591   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4592   if (!mat->ops->getrowmax) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4593   MatCheckPreallocated(mat,1);
4594 
4595   ierr = (*mat->ops->getrowmax)(mat,v,idx);CHKERRQ(ierr);
4596   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
4597   PetscFunctionReturn(0);
4598 }
4599 
4600 #undef __FUNCT__
4601 #define __FUNCT__ "MatGetRowMaxAbs"
4602 /*@C
4603    MatGetRowMaxAbs - Gets the maximum value (in absolute value) of each
4604         row of the matrix
4605 
4606    Logically Collective on Mat and Vec
4607 
4608    Input Parameters:
4609 .  mat - the matrix
4610 
4611    Output Parameter:
4612 +  v - the vector for storing the maximums
4613 -  idx - the indices of the column found for each row (or NULL if not needed)
4614 
4615    Level: intermediate
4616 
4617    Notes: if a row is completely empty or has only 0.0 values then the idx[] value for that
4618     row is 0 (the first column).
4619 
4620     This code is only implemented for a couple of matrix formats.
4621 
4622    Concepts: matrices^getting row maximums
4623 
4624 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMin()
4625 @*/
4626 PetscErrorCode MatGetRowMaxAbs(Mat mat,Vec v,PetscInt idx[])
4627 {
4628   PetscErrorCode ierr;
4629 
4630   PetscFunctionBegin;
4631   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4632   PetscValidType(mat,1);
4633   PetscValidHeaderSpecific(v,VEC_CLASSID,2);
4634   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4635   if (!mat->ops->getrowmaxabs) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4636   MatCheckPreallocated(mat,1);
4637   if (idx) {ierr = PetscMemzero(idx,mat->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);}
4638 
4639   ierr = (*mat->ops->getrowmaxabs)(mat,v,idx);CHKERRQ(ierr);
4640   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
4641   PetscFunctionReturn(0);
4642 }
4643 
4644 #undef __FUNCT__
4645 #define __FUNCT__ "MatGetRowSum"
4646 /*@
4647    MatGetRowSum - Gets the sum of each row of the matrix
4648 
4649    Logically Collective on Mat and Vec
4650 
4651    Input Parameters:
4652 .  mat - the matrix
4653 
4654    Output Parameter:
4655 .  v - the vector for storing the sum of rows
4656 
4657    Level: intermediate
4658 
4659    Notes: This code is slow since it is not currently specialized for different formats
4660 
4661    Concepts: matrices^getting row sums
4662 
4663 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMin()
4664 @*/
4665 PetscErrorCode MatGetRowSum(Mat mat, Vec v)
4666 {
4667   PetscInt       start = 0, end = 0, row;
4668   PetscScalar    *array;
4669   PetscErrorCode ierr;
4670 
4671   PetscFunctionBegin;
4672   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4673   PetscValidType(mat,1);
4674   PetscValidHeaderSpecific(v,VEC_CLASSID,2);
4675   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4676   MatCheckPreallocated(mat,1);
4677   ierr = MatGetOwnershipRange(mat, &start, &end);CHKERRQ(ierr);
4678   ierr = VecGetArray(v, &array);CHKERRQ(ierr);
4679   for (row = start; row < end; ++row) {
4680     PetscInt          ncols, col;
4681     const PetscInt    *cols;
4682     const PetscScalar *vals;
4683 
4684     array[row - start] = 0.0;
4685 
4686     ierr = MatGetRow(mat, row, &ncols, &cols, &vals);CHKERRQ(ierr);
4687     for (col = 0; col < ncols; col++) {
4688       array[row - start] += vals[col];
4689     }
4690     ierr = MatRestoreRow(mat, row, &ncols, &cols, &vals);CHKERRQ(ierr);
4691   }
4692   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
4693   ierr = PetscObjectStateIncrease((PetscObject) v);CHKERRQ(ierr);
4694   PetscFunctionReturn(0);
4695 }
4696 
4697 #undef __FUNCT__
4698 #define __FUNCT__ "MatTranspose"
4699 /*@
4700    MatTranspose - Computes an in-place or out-of-place transpose of a matrix.
4701 
4702    Collective on Mat
4703 
4704    Input Parameter:
4705 +  mat - the matrix to transpose
4706 -  reuse - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
4707 
4708    Output Parameters:
4709 .  B - the transpose
4710 
4711    Notes:
4712      If you  pass in &mat for B the transpose will be done in place, for example MatTranspose(mat,MAT_REUSE_MATRIX,&mat);
4713 
4714      Consider using MatCreateTranspose() instead if you only need a matrix that behaves like the transpose, but don't need the storage to be changed.
4715 
4716    Level: intermediate
4717 
4718    Concepts: matrices^transposing
4719 
4720 .seealso: MatMultTranspose(), MatMultTransposeAdd(), MatIsTranspose(), MatReuse
4721 @*/
4722 PetscErrorCode MatTranspose(Mat mat,MatReuse reuse,Mat *B)
4723 {
4724   PetscErrorCode ierr;
4725 
4726   PetscFunctionBegin;
4727   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4728   PetscValidType(mat,1);
4729   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4730   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4731   if (!mat->ops->transpose) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4732   MatCheckPreallocated(mat,1);
4733 
4734   ierr = PetscLogEventBegin(MAT_Transpose,mat,0,0,0);CHKERRQ(ierr);
4735   ierr = (*mat->ops->transpose)(mat,reuse,B);CHKERRQ(ierr);
4736   ierr = PetscLogEventEnd(MAT_Transpose,mat,0,0,0);CHKERRQ(ierr);
4737   if (B) {ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);}
4738   PetscFunctionReturn(0);
4739 }
4740 
4741 #undef __FUNCT__
4742 #define __FUNCT__ "MatIsTranspose"
4743 /*@
4744    MatIsTranspose - Test whether a matrix is another one's transpose,
4745         or its own, in which case it tests symmetry.
4746 
4747    Collective on Mat
4748 
4749    Input Parameter:
4750 +  A - the matrix to test
4751 -  B - the matrix to test against, this can equal the first parameter
4752 
4753    Output Parameters:
4754 .  flg - the result
4755 
4756    Notes:
4757    Only available for SeqAIJ/MPIAIJ matrices. The sequential algorithm
4758    has a running time of the order of the number of nonzeros; the parallel
4759    test involves parallel copies of the block-offdiagonal parts of the matrix.
4760 
4761    Level: intermediate
4762 
4763    Concepts: matrices^transposing, matrix^symmetry
4764 
4765 .seealso: MatTranspose(), MatIsSymmetric(), MatIsHermitian()
4766 @*/
4767 PetscErrorCode MatIsTranspose(Mat A,Mat B,PetscReal tol,PetscBool  *flg)
4768 {
4769   PetscErrorCode ierr,(*f)(Mat,Mat,PetscReal,PetscBool*),(*g)(Mat,Mat,PetscReal,PetscBool*);
4770 
4771   PetscFunctionBegin;
4772   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
4773   PetscValidHeaderSpecific(B,MAT_CLASSID,2);
4774   PetscValidPointer(flg,3);
4775   ierr = PetscObjectQueryFunction((PetscObject)A,"MatIsTranspose_C",&f);CHKERRQ(ierr);
4776   ierr = PetscObjectQueryFunction((PetscObject)B,"MatIsTranspose_C",&g);CHKERRQ(ierr);
4777   *flg = PETSC_FALSE;
4778   if (f && g) {
4779     if (f == g) {
4780       ierr = (*f)(A,B,tol,flg);CHKERRQ(ierr);
4781     } else SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_NOTSAMETYPE,"Matrices do not have the same comparator for symmetry test");
4782   } else {
4783     MatType mattype;
4784     if (!f) {
4785       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
4786     } else {
4787       ierr = MatGetType(B,&mattype);CHKERRQ(ierr);
4788     }
4789     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for transpose",mattype);
4790   }
4791   PetscFunctionReturn(0);
4792 }
4793 
4794 #undef __FUNCT__
4795 #define __FUNCT__ "MatHermitianTranspose"
4796 /*@
4797    MatHermitianTranspose - Computes an in-place or out-of-place transpose of a matrix in complex conjugate.
4798 
4799    Collective on Mat
4800 
4801    Input Parameter:
4802 +  mat - the matrix to transpose and complex conjugate
4803 -  reuse - store the transpose matrix in the provided B
4804 
4805    Output Parameters:
4806 .  B - the Hermitian
4807 
4808    Notes:
4809      If you  pass in &mat for B the Hermitian will be done in place
4810 
4811    Level: intermediate
4812 
4813    Concepts: matrices^transposing, complex conjugatex
4814 
4815 .seealso: MatTranspose(), MatMultTranspose(), MatMultTransposeAdd(), MatIsTranspose(), MatReuse
4816 @*/
4817 PetscErrorCode MatHermitianTranspose(Mat mat,MatReuse reuse,Mat *B)
4818 {
4819   PetscErrorCode ierr;
4820 
4821   PetscFunctionBegin;
4822   ierr = MatTranspose(mat,reuse,B);CHKERRQ(ierr);
4823 #if defined(PETSC_USE_COMPLEX)
4824   ierr = MatConjugate(*B);CHKERRQ(ierr);
4825 #endif
4826   PetscFunctionReturn(0);
4827 }
4828 
4829 #undef __FUNCT__
4830 #define __FUNCT__ "MatIsHermitianTranspose"
4831 /*@
4832    MatIsHermitianTranspose - Test whether a matrix is another one's Hermitian transpose,
4833 
4834    Collective on Mat
4835 
4836    Input Parameter:
4837 +  A - the matrix to test
4838 -  B - the matrix to test against, this can equal the first parameter
4839 
4840    Output Parameters:
4841 .  flg - the result
4842 
4843    Notes:
4844    Only available for SeqAIJ/MPIAIJ matrices. The sequential algorithm
4845    has a running time of the order of the number of nonzeros; the parallel
4846    test involves parallel copies of the block-offdiagonal parts of the matrix.
4847 
4848    Level: intermediate
4849 
4850    Concepts: matrices^transposing, matrix^symmetry
4851 
4852 .seealso: MatTranspose(), MatIsSymmetric(), MatIsHermitian(), MatIsTranspose()
4853 @*/
4854 PetscErrorCode MatIsHermitianTranspose(Mat A,Mat B,PetscReal tol,PetscBool  *flg)
4855 {
4856   PetscErrorCode ierr,(*f)(Mat,Mat,PetscReal,PetscBool*),(*g)(Mat,Mat,PetscReal,PetscBool*);
4857 
4858   PetscFunctionBegin;
4859   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
4860   PetscValidHeaderSpecific(B,MAT_CLASSID,2);
4861   PetscValidPointer(flg,3);
4862   ierr = PetscObjectQueryFunction((PetscObject)A,"MatIsHermitianTranspose_C",&f);CHKERRQ(ierr);
4863   ierr = PetscObjectQueryFunction((PetscObject)B,"MatIsHermitianTranspose_C",&g);CHKERRQ(ierr);
4864   if (f && g) {
4865     if (f==g) {
4866       ierr = (*f)(A,B,tol,flg);CHKERRQ(ierr);
4867     } else SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_NOTSAMETYPE,"Matrices do not have the same comparator for Hermitian test");
4868   }
4869   PetscFunctionReturn(0);
4870 }
4871 
4872 #undef __FUNCT__
4873 #define __FUNCT__ "MatPermute"
4874 /*@
4875    MatPermute - Creates a new matrix with rows and columns permuted from the
4876    original.
4877 
4878    Collective on Mat
4879 
4880    Input Parameters:
4881 +  mat - the matrix to permute
4882 .  row - row permutation, each processor supplies only the permutation for its rows
4883 -  col - column permutation, each processor supplies only the permutation for its columns
4884 
4885    Output Parameters:
4886 .  B - the permuted matrix
4887 
4888    Level: advanced
4889 
4890    Note:
4891    The index sets map from row/col of permuted matrix to row/col of original matrix.
4892    The index sets should be on the same communicator as Mat and have the same local sizes.
4893 
4894    Concepts: matrices^permuting
4895 
4896 .seealso: MatGetOrdering(), ISAllGather()
4897 
4898 @*/
4899 PetscErrorCode MatPermute(Mat mat,IS row,IS col,Mat *B)
4900 {
4901   PetscErrorCode ierr;
4902 
4903   PetscFunctionBegin;
4904   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4905   PetscValidType(mat,1);
4906   PetscValidHeaderSpecific(row,IS_CLASSID,2);
4907   PetscValidHeaderSpecific(col,IS_CLASSID,3);
4908   PetscValidPointer(B,4);
4909   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4910   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4911   if (!mat->ops->permute) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatPermute not available for Mat type %s",((PetscObject)mat)->type_name);
4912   MatCheckPreallocated(mat,1);
4913 
4914   ierr = (*mat->ops->permute)(mat,row,col,B);CHKERRQ(ierr);
4915   ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);
4916   PetscFunctionReturn(0);
4917 }
4918 
4919 #undef __FUNCT__
4920 #define __FUNCT__ "MatEqual"
4921 /*@
4922    MatEqual - Compares two matrices.
4923 
4924    Collective on Mat
4925 
4926    Input Parameters:
4927 +  A - the first matrix
4928 -  B - the second matrix
4929 
4930    Output Parameter:
4931 .  flg - PETSC_TRUE if the matrices are equal; PETSC_FALSE otherwise.
4932 
4933    Level: intermediate
4934 
4935    Concepts: matrices^equality between
4936 @*/
4937 PetscErrorCode MatEqual(Mat A,Mat B,PetscBool  *flg)
4938 {
4939   PetscErrorCode ierr;
4940 
4941   PetscFunctionBegin;
4942   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
4943   PetscValidHeaderSpecific(B,MAT_CLASSID,2);
4944   PetscValidType(A,1);
4945   PetscValidType(B,2);
4946   PetscValidIntPointer(flg,3);
4947   PetscCheckSameComm(A,1,B,2);
4948   MatCheckPreallocated(B,2);
4949   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4950   if (!B->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4951   if (A->rmap->N != B->rmap->N || A->cmap->N != B->cmap->N) SETERRQ4(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Mat A,Mat B: global dim %D %D %D %D",A->rmap->N,B->rmap->N,A->cmap->N,B->cmap->N);
4952   if (!A->ops->equal) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Mat type %s",((PetscObject)A)->type_name);
4953   if (!B->ops->equal) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Mat type %s",((PetscObject)B)->type_name);
4954   if (A->ops->equal != B->ops->equal) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_INCOMP,"A is type: %s\nB is type: %s",((PetscObject)A)->type_name,((PetscObject)B)->type_name);
4955   MatCheckPreallocated(A,1);
4956 
4957   ierr = (*A->ops->equal)(A,B,flg);CHKERRQ(ierr);
4958   PetscFunctionReturn(0);
4959 }
4960 
4961 #undef __FUNCT__
4962 #define __FUNCT__ "MatDiagonalScale"
4963 /*@
4964    MatDiagonalScale - Scales a matrix on the left and right by diagonal
4965    matrices that are stored as vectors.  Either of the two scaling
4966    matrices can be NULL.
4967 
4968    Collective on Mat
4969 
4970    Input Parameters:
4971 +  mat - the matrix to be scaled
4972 .  l - the left scaling vector (or NULL)
4973 -  r - the right scaling vector (or NULL)
4974 
4975    Notes:
4976    MatDiagonalScale() computes A = LAR, where
4977    L = a diagonal matrix (stored as a vector), R = a diagonal matrix (stored as a vector)
4978    The L scales the rows of the matrix, the R scales the columns of the matrix.
4979 
4980    Level: intermediate
4981 
4982    Concepts: matrices^diagonal scaling
4983    Concepts: diagonal scaling of matrices
4984 
4985 .seealso: MatScale()
4986 @*/
4987 PetscErrorCode MatDiagonalScale(Mat mat,Vec l,Vec r)
4988 {
4989   PetscErrorCode ierr;
4990 
4991   PetscFunctionBegin;
4992   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4993   PetscValidType(mat,1);
4994   if (!mat->ops->diagonalscale) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4995   if (l) {PetscValidHeaderSpecific(l,VEC_CLASSID,2);PetscCheckSameComm(mat,1,l,2);}
4996   if (r) {PetscValidHeaderSpecific(r,VEC_CLASSID,3);PetscCheckSameComm(mat,1,r,3);}
4997   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4998   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4999   MatCheckPreallocated(mat,1);
5000 
5001   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
5002   ierr = (*mat->ops->diagonalscale)(mat,l,r);CHKERRQ(ierr);
5003   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
5004   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5005 #if defined(PETSC_HAVE_CUSP)
5006   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
5007     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
5008   }
5009 #elif defined(PETSC_HAVE_VIENNACL)
5010   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
5011     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
5012   }
5013 #elif defined(PETSC_HAVE_VECCUDA)
5014   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
5015     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
5016   }
5017 #endif
5018   PetscFunctionReturn(0);
5019 }
5020 
5021 #undef __FUNCT__
5022 #define __FUNCT__ "MatScale"
5023 /*@
5024     MatScale - Scales all elements of a matrix by a given number.
5025 
5026     Logically Collective on Mat
5027 
5028     Input Parameters:
5029 +   mat - the matrix to be scaled
5030 -   a  - the scaling value
5031 
5032     Output Parameter:
5033 .   mat - the scaled matrix
5034 
5035     Level: intermediate
5036 
5037     Concepts: matrices^scaling all entries
5038 
5039 .seealso: MatDiagonalScale()
5040 @*/
5041 PetscErrorCode MatScale(Mat mat,PetscScalar a)
5042 {
5043   PetscErrorCode ierr;
5044 
5045   PetscFunctionBegin;
5046   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
5047   PetscValidType(mat,1);
5048   if (a != (PetscScalar)1.0 && !mat->ops->scale) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5049   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5050   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5051   PetscValidLogicalCollectiveScalar(mat,a,2);
5052   MatCheckPreallocated(mat,1);
5053 
5054   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
5055   if (a != (PetscScalar)1.0) {
5056     ierr = (*mat->ops->scale)(mat,a);CHKERRQ(ierr);
5057     ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5058 #if defined(PETSC_HAVE_CUSP)
5059     if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
5060       mat->valid_GPU_matrix = PETSC_CUSP_CPU;
5061     }
5062 #elif defined(PETSC_HAVE_VIENNACL)
5063     if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
5064       mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
5065     }
5066 #elif defined(PETSC_HAVE_VECCUDA)
5067     if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
5068       mat->valid_GPU_matrix = PETSC_CUDA_CPU;
5069     }
5070 #endif
5071   }
5072   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
5073   PetscFunctionReturn(0);
5074 }
5075 
5076 #undef __FUNCT__
5077 #define __FUNCT__ "MatNorm"
5078 /*@
5079    MatNorm - Calculates various norms of a matrix.
5080 
5081    Collective on Mat
5082 
5083    Input Parameters:
5084 +  mat - the matrix
5085 -  type - the type of norm, NORM_1, NORM_FROBENIUS, NORM_INFINITY
5086 
5087    Output Parameters:
5088 .  nrm - the resulting norm
5089 
5090    Level: intermediate
5091 
5092    Concepts: matrices^norm
5093    Concepts: norm^of matrix
5094 @*/
5095 PetscErrorCode MatNorm(Mat mat,NormType type,PetscReal *nrm)
5096 {
5097   PetscErrorCode ierr;
5098 
5099   PetscFunctionBegin;
5100   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
5101   PetscValidType(mat,1);
5102   PetscValidScalarPointer(nrm,3);
5103 
5104   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5105   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5106   if (!mat->ops->norm) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5107   MatCheckPreallocated(mat,1);
5108 
5109   ierr = (*mat->ops->norm)(mat,type,nrm);CHKERRQ(ierr);
5110   PetscFunctionReturn(0);
5111 }
5112 
5113 /*
5114      This variable is used to prevent counting of MatAssemblyBegin() that
5115    are called from within a MatAssemblyEnd().
5116 */
5117 static PetscInt MatAssemblyEnd_InUse = 0;
5118 #undef __FUNCT__
5119 #define __FUNCT__ "MatAssemblyBegin"
5120 /*@
5121    MatAssemblyBegin - Begins assembling the matrix.  This routine should
5122    be called after completing all calls to MatSetValues().
5123 
5124    Collective on Mat
5125 
5126    Input Parameters:
5127 +  mat - the matrix
5128 -  type - type of assembly, either MAT_FLUSH_ASSEMBLY or MAT_FINAL_ASSEMBLY
5129 
5130    Notes:
5131    MatSetValues() generally caches the values.  The matrix is ready to
5132    use only after MatAssemblyBegin() and MatAssemblyEnd() have been called.
5133    Use MAT_FLUSH_ASSEMBLY when switching between ADD_VALUES and INSERT_VALUES
5134    in MatSetValues(); use MAT_FINAL_ASSEMBLY for the final assembly before
5135    using the matrix.
5136 
5137    ALL processes that share a matrix MUST call MatAssemblyBegin() and MatAssemblyEnd() the SAME NUMBER of times, and each time with the
5138    same flag of MAT_FLUSH_ASSEMBLY or MAT_FINAL_ASSEMBLY for all processes. Thus you CANNOT locally change from ADD_VALUES to INSERT_VALUES, that is
5139    a global collective operation requring all processes that share the matrix.
5140 
5141    Space for preallocated nonzeros that is not filled by a call to MatSetValues() or a related routine are compressed
5142    out by assembly. If you intend to use that extra space on a subsequent assembly, be sure to insert explicit zeros
5143    before MAT_FINAL_ASSEMBLY so the space is not compressed out.
5144 
5145    Level: beginner
5146 
5147    Concepts: matrices^assembling
5148 
5149 .seealso: MatAssemblyEnd(), MatSetValues(), MatAssembled()
5150 @*/
5151 PetscErrorCode MatAssemblyBegin(Mat mat,MatAssemblyType type)
5152 {
5153   PetscErrorCode ierr;
5154 
5155   PetscFunctionBegin;
5156   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
5157   PetscValidType(mat,1);
5158   MatCheckPreallocated(mat,1);
5159   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix.\nDid you forget to call MatSetUnfactored()?");
5160   if (mat->assembled) {
5161     mat->was_assembled = PETSC_TRUE;
5162     mat->assembled     = PETSC_FALSE;
5163   }
5164   if (!MatAssemblyEnd_InUse) {
5165     ierr = PetscLogEventBegin(MAT_AssemblyBegin,mat,0,0,0);CHKERRQ(ierr);
5166     if (mat->ops->assemblybegin) {ierr = (*mat->ops->assemblybegin)(mat,type);CHKERRQ(ierr);}
5167     ierr = PetscLogEventEnd(MAT_AssemblyBegin,mat,0,0,0);CHKERRQ(ierr);
5168   } else if (mat->ops->assemblybegin) {
5169     ierr = (*mat->ops->assemblybegin)(mat,type);CHKERRQ(ierr);
5170   }
5171   PetscFunctionReturn(0);
5172 }
5173 
5174 #undef __FUNCT__
5175 #define __FUNCT__ "MatAssembled"
5176 /*@
5177    MatAssembled - Indicates if a matrix has been assembled and is ready for
5178      use; for example, in matrix-vector product.
5179 
5180    Not Collective
5181 
5182    Input Parameter:
5183 .  mat - the matrix
5184 
5185    Output Parameter:
5186 .  assembled - PETSC_TRUE or PETSC_FALSE
5187 
5188    Level: advanced
5189 
5190    Concepts: matrices^assembled?
5191 
5192 .seealso: MatAssemblyEnd(), MatSetValues(), MatAssemblyBegin()
5193 @*/
5194 PetscErrorCode MatAssembled(Mat mat,PetscBool  *assembled)
5195 {
5196   PetscFunctionBegin;
5197   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
5198   PetscValidType(mat,1);
5199   PetscValidPointer(assembled,2);
5200   *assembled = mat->assembled;
5201   PetscFunctionReturn(0);
5202 }
5203 
5204 #undef __FUNCT__
5205 #define __FUNCT__ "MatAssemblyEnd"
5206 /*@
5207    MatAssemblyEnd - Completes assembling the matrix.  This routine should
5208    be called after MatAssemblyBegin().
5209 
5210    Collective on Mat
5211 
5212    Input Parameters:
5213 +  mat - the matrix
5214 -  type - type of assembly, either MAT_FLUSH_ASSEMBLY or MAT_FINAL_ASSEMBLY
5215 
5216    Options Database Keys:
5217 +  -mat_view ::ascii_info - Prints info on matrix at conclusion of MatEndAssembly()
5218 .  -mat_view ::ascii_info_detail - Prints more detailed info
5219 .  -mat_view - Prints matrix in ASCII format
5220 .  -mat_view ::ascii_matlab - Prints matrix in Matlab format
5221 .  -mat_view draw - PetscDraws nonzero structure of matrix, using MatView() and PetscDrawOpenX().
5222 .  -display <name> - Sets display name (default is host)
5223 .  -draw_pause <sec> - Sets number of seconds to pause after display
5224 .  -mat_view socket - Sends matrix to socket, can be accessed from Matlab (See Users-Manual: ch_matlab )
5225 .  -viewer_socket_machine <machine> - Machine to use for socket
5226 .  -viewer_socket_port <port> - Port number to use for socket
5227 -  -mat_view binary:filename[:append] - Save matrix to file in binary format
5228 
5229    Notes:
5230    MatSetValues() generally caches the values.  The matrix is ready to
5231    use only after MatAssemblyBegin() and MatAssemblyEnd() have been called.
5232    Use MAT_FLUSH_ASSEMBLY when switching between ADD_VALUES and INSERT_VALUES
5233    in MatSetValues(); use MAT_FINAL_ASSEMBLY for the final assembly before
5234    using the matrix.
5235 
5236    Space for preallocated nonzeros that is not filled by a call to MatSetValues() or a related routine are compressed
5237    out by assembly. If you intend to use that extra space on a subsequent assembly, be sure to insert explicit zeros
5238    before MAT_FINAL_ASSEMBLY so the space is not compressed out.
5239 
5240    Level: beginner
5241 
5242 .seealso: MatAssemblyBegin(), MatSetValues(), PetscDrawOpenX(), PetscDrawCreate(), MatView(), MatAssembled(), PetscViewerSocketOpen()
5243 @*/
5244 PetscErrorCode MatAssemblyEnd(Mat mat,MatAssemblyType type)
5245 {
5246   PetscErrorCode  ierr;
5247   static PetscInt inassm = 0;
5248   PetscBool       flg    = PETSC_FALSE;
5249 
5250   PetscFunctionBegin;
5251   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
5252   PetscValidType(mat,1);
5253 
5254   inassm++;
5255   MatAssemblyEnd_InUse++;
5256   if (MatAssemblyEnd_InUse == 1) { /* Do the logging only the first time through */
5257     ierr = PetscLogEventBegin(MAT_AssemblyEnd,mat,0,0,0);CHKERRQ(ierr);
5258     if (mat->ops->assemblyend) {
5259       ierr = (*mat->ops->assemblyend)(mat,type);CHKERRQ(ierr);
5260     }
5261     ierr = PetscLogEventEnd(MAT_AssemblyEnd,mat,0,0,0);CHKERRQ(ierr);
5262   } else if (mat->ops->assemblyend) {
5263     ierr = (*mat->ops->assemblyend)(mat,type);CHKERRQ(ierr);
5264   }
5265 
5266   /* Flush assembly is not a true assembly */
5267   if (type != MAT_FLUSH_ASSEMBLY) {
5268     mat->assembled = PETSC_TRUE; mat->num_ass++;
5269   }
5270   mat->insertmode = NOT_SET_VALUES;
5271   MatAssemblyEnd_InUse--;
5272   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5273   if (!mat->symmetric_eternal) {
5274     mat->symmetric_set              = PETSC_FALSE;
5275     mat->hermitian_set              = PETSC_FALSE;
5276     mat->structurally_symmetric_set = PETSC_FALSE;
5277   }
5278 #if defined(PETSC_HAVE_CUSP)
5279   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
5280     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
5281   }
5282 #elif defined(PETSC_HAVE_VIENNACL)
5283   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
5284     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
5285   }
5286 #elif defined(PETSC_HAVE_VECCUDA)
5287   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
5288     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
5289   }
5290 #endif
5291   if (inassm == 1 && type != MAT_FLUSH_ASSEMBLY) {
5292     ierr = MatViewFromOptions(mat,NULL,"-mat_view");CHKERRQ(ierr);
5293 
5294     if (mat->checksymmetryonassembly) {
5295       ierr = MatIsSymmetric(mat,mat->checksymmetrytol,&flg);CHKERRQ(ierr);
5296       if (flg) {
5297         ierr = PetscPrintf(PetscObjectComm((PetscObject)mat),"Matrix is symmetric (tolerance %g)\n",(double)mat->checksymmetrytol);CHKERRQ(ierr);
5298       } else {
5299         ierr = PetscPrintf(PetscObjectComm((PetscObject)mat),"Matrix is not symmetric (tolerance %g)\n",(double)mat->checksymmetrytol);CHKERRQ(ierr);
5300       }
5301     }
5302     if (mat->nullsp && mat->checknullspaceonassembly) {
5303       ierr = MatNullSpaceTest(mat->nullsp,mat,NULL);CHKERRQ(ierr);
5304     }
5305   }
5306   inassm--;
5307   PetscFunctionReturn(0);
5308 }
5309 
5310 #undef __FUNCT__
5311 #define __FUNCT__ "MatSetOption"
5312 /*@
5313    MatSetOption - Sets a parameter option for a matrix. Some options
5314    may be specific to certain storage formats.  Some options
5315    determine how values will be inserted (or added). Sorted,
5316    row-oriented input will generally assemble the fastest. The default
5317    is row-oriented.
5318 
5319    Logically Collective on Mat for certain operations, such as MAT_SPD, not collective for MAT_ROW_ORIENTED, see MatOption
5320 
5321    Input Parameters:
5322 +  mat - the matrix
5323 .  option - the option, one of those listed below (and possibly others),
5324 -  flg - turn the option on (PETSC_TRUE) or off (PETSC_FALSE)
5325 
5326   Options Describing Matrix Structure:
5327 +    MAT_SPD - symmetric positive definite
5328 .    MAT_SYMMETRIC - symmetric in terms of both structure and value
5329 .    MAT_HERMITIAN - transpose is the complex conjugation
5330 .    MAT_STRUCTURALLY_SYMMETRIC - symmetric nonzero structure
5331 -    MAT_SYMMETRY_ETERNAL - if you would like the symmetry/Hermitian flag
5332                             you set to be kept with all future use of the matrix
5333                             including after MatAssemblyBegin/End() which could
5334                             potentially change the symmetry structure, i.e. you
5335                             KNOW the matrix will ALWAYS have the property you set.
5336 
5337 
5338    Options For Use with MatSetValues():
5339    Insert a logically dense subblock, which can be
5340 .    MAT_ROW_ORIENTED - row-oriented (default)
5341 
5342    Note these options reflect the data you pass in with MatSetValues(); it has
5343    nothing to do with how the data is stored internally in the matrix
5344    data structure.
5345 
5346    When (re)assembling a matrix, we can restrict the input for
5347    efficiency/debugging purposes.  These options include:
5348 +    MAT_NEW_NONZERO_LOCATIONS - additional insertions will be allowed if they generate a new nonzero (slow)
5349 .    MAT_NEW_DIAGONALS - new diagonals will be allowed (for block diagonal format only)
5350 .    MAT_IGNORE_OFF_PROC_ENTRIES - drops off-processor entries
5351 .    MAT_NEW_NONZERO_LOCATION_ERR - generates an error for new matrix entry
5352 .    MAT_USE_HASH_TABLE - uses a hash table to speed up matrix assembly
5353 .    MAT_NO_OFF_PROC_ENTRIES - you know each process will only set values for its own rows, will generate an error if
5354         any process sets values for another process. This avoids all reductions in the MatAssembly routines and thus improves
5355         performance for very large process counts.
5356 -    MAT_SUBSET_OFF_PROC_ENTRIES - you know that the first assembly after setting this flag will set a superset
5357         of the off-process entries required for all subsequent assemblies. This avoids a rendezvous step in the MatAssembly
5358         functions, instead sending only neighbor messages.
5359 
5360    Notes:
5361    Except for MAT_UNUSED_NONZERO_LOCATION_ERR and  MAT_ROW_ORIENTED all processes that share the matrix must pass the same value in flg!
5362 
5363    Some options are relevant only for particular matrix types and
5364    are thus ignored by others.  Other options are not supported by
5365    certain matrix types and will generate an error message if set.
5366 
5367    If using a Fortran 77 module to compute a matrix, one may need to
5368    use the column-oriented option (or convert to the row-oriented
5369    format).
5370 
5371    MAT_NEW_NONZERO_LOCATIONS set to PETSC_FALSE indicates that any add or insertion
5372    that would generate a new entry in the nonzero structure is instead
5373    ignored.  Thus, if memory has not alredy been allocated for this particular
5374    data, then the insertion is ignored. For dense matrices, in which
5375    the entire array is allocated, no entries are ever ignored.
5376    Set after the first MatAssemblyEnd(). If this option is set then the MatAssemblyBegin/End() processes has one less global reduction
5377 
5378    MAT_NEW_NONZERO_LOCATION_ERR set to PETSC_TRUE indicates that any add or insertion
5379    that would generate a new entry in the nonzero structure instead produces
5380    an error. (Currently supported for AIJ and BAIJ formats only.) If this option is set then the MatAssemblyBegin/End() processes has one less global reduction
5381 
5382    MAT_NEW_NONZERO_ALLOCATION_ERR set to PETSC_TRUE indicates that any add or insertion
5383    that would generate a new entry that has not been preallocated will
5384    instead produce an error. (Currently supported for AIJ and BAIJ formats
5385    only.) This is a useful flag when debugging matrix memory preallocation.
5386    If this option is set then the MatAssemblyBegin/End() processes has one less global reduction
5387 
5388    MAT_IGNORE_OFF_PROC_ENTRIES set to PETSC_TRUE indicates entries destined for
5389    other processors should be dropped, rather than stashed.
5390    This is useful if you know that the "owning" processor is also
5391    always generating the correct matrix entries, so that PETSc need
5392    not transfer duplicate entries generated on another processor.
5393 
5394    MAT_USE_HASH_TABLE indicates that a hash table be used to improve the
5395    searches during matrix assembly. When this flag is set, the hash table
5396    is created during the first Matrix Assembly. This hash table is
5397    used the next time through, during MatSetVaules()/MatSetVaulesBlocked()
5398    to improve the searching of indices. MAT_NEW_NONZERO_LOCATIONS flag
5399    should be used with MAT_USE_HASH_TABLE flag. This option is currently
5400    supported by MATMPIBAIJ format only.
5401 
5402    MAT_KEEP_NONZERO_PATTERN indicates when MatZeroRows() is called the zeroed entries
5403    are kept in the nonzero structure
5404 
5405    MAT_IGNORE_ZERO_ENTRIES - for AIJ/IS matrices this will stop zero values from creating
5406    a zero location in the matrix
5407 
5408    MAT_USE_INODES - indicates using inode version of the code - works with AIJ matrix types
5409 
5410    MAT_NO_OFF_PROC_ZERO_ROWS - you know each process will only zero its own rows. This avoids all reductions in the
5411         zero row routines and thus improves performance for very large process counts.
5412 
5413    MAT_IGNORE_LOWER_TRIANGULAR - For SBAIJ matrices will ignore any insertions you make in the lower triangular
5414         part of the matrix (since they should match the upper triangular part).
5415 
5416    Notes: Can only be called after MatSetSizes() and MatSetType() have been set.
5417 
5418    Level: intermediate
5419 
5420    Concepts: matrices^setting options
5421 
5422 .seealso:  MatOption, Mat
5423 
5424 @*/
5425 PetscErrorCode MatSetOption(Mat mat,MatOption op,PetscBool flg)
5426 {
5427   PetscErrorCode ierr;
5428 
5429   PetscFunctionBegin;
5430   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
5431   PetscValidType(mat,1);
5432   if (op > 0) {
5433     PetscValidLogicalCollectiveEnum(mat,op,2);
5434     PetscValidLogicalCollectiveBool(mat,flg,3);
5435   }
5436 
5437   if (((int) op) <= MAT_OPTION_MIN || ((int) op) >= MAT_OPTION_MAX) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_OUTOFRANGE,"Options %d is out of range",(int)op);
5438   if (!((PetscObject)mat)->type_name) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_TYPENOTSET,"Cannot set options until type and size have been set, see MatSetType() and MatSetSizes()");
5439 
5440   switch (op) {
5441   case MAT_NO_OFF_PROC_ENTRIES:
5442     mat->nooffprocentries = flg;
5443     PetscFunctionReturn(0);
5444     break;
5445   case MAT_SUBSET_OFF_PROC_ENTRIES:
5446     mat->subsetoffprocentries = flg;
5447     PetscFunctionReturn(0);
5448   case MAT_NO_OFF_PROC_ZERO_ROWS:
5449     mat->nooffproczerorows = flg;
5450     PetscFunctionReturn(0);
5451     break;
5452   case MAT_SPD:
5453     mat->spd_set = PETSC_TRUE;
5454     mat->spd     = flg;
5455     if (flg) {
5456       mat->symmetric                  = PETSC_TRUE;
5457       mat->structurally_symmetric     = PETSC_TRUE;
5458       mat->symmetric_set              = PETSC_TRUE;
5459       mat->structurally_symmetric_set = PETSC_TRUE;
5460     }
5461     break;
5462   case MAT_SYMMETRIC:
5463     mat->symmetric = flg;
5464     if (flg) mat->structurally_symmetric = PETSC_TRUE;
5465     mat->symmetric_set              = PETSC_TRUE;
5466     mat->structurally_symmetric_set = flg;
5467     break;
5468   case MAT_HERMITIAN:
5469     mat->hermitian = flg;
5470     if (flg) mat->structurally_symmetric = PETSC_TRUE;
5471     mat->hermitian_set              = PETSC_TRUE;
5472     mat->structurally_symmetric_set = flg;
5473     break;
5474   case MAT_STRUCTURALLY_SYMMETRIC:
5475     mat->structurally_symmetric     = flg;
5476     mat->structurally_symmetric_set = PETSC_TRUE;
5477     break;
5478   case MAT_SYMMETRY_ETERNAL:
5479     mat->symmetric_eternal = flg;
5480     break;
5481   default:
5482     break;
5483   }
5484   if (mat->ops->setoption) {
5485     ierr = (*mat->ops->setoption)(mat,op,flg);CHKERRQ(ierr);
5486   }
5487   PetscFunctionReturn(0);
5488 }
5489 
5490 #undef __FUNCT__
5491 #define __FUNCT__ "MatGetOption"
5492 /*@
5493    MatGetOption - Gets a parameter option that has been set for a matrix.
5494 
5495    Logically Collective on Mat for certain operations, such as MAT_SPD, not collective for MAT_ROW_ORIENTED, see MatOption
5496 
5497    Input Parameters:
5498 +  mat - the matrix
5499 -  option - the option, this only responds to certain options, check the code for which ones
5500 
5501    Output Parameter:
5502 .  flg - turn the option on (PETSC_TRUE) or off (PETSC_FALSE)
5503 
5504     Notes: Can only be called after MatSetSizes() and MatSetType() have been set.
5505 
5506    Level: intermediate
5507 
5508    Concepts: matrices^setting options
5509 
5510 .seealso:  MatOption, MatSetOption()
5511 
5512 @*/
5513 PetscErrorCode MatGetOption(Mat mat,MatOption op,PetscBool *flg)
5514 {
5515   PetscFunctionBegin;
5516   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
5517   PetscValidType(mat,1);
5518 
5519   if (((int) op) <= MAT_OPTION_MIN || ((int) op) >= MAT_OPTION_MAX) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_OUTOFRANGE,"Options %d is out of range",(int)op);
5520   if (!((PetscObject)mat)->type_name) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_TYPENOTSET,"Cannot get options until type and size have been set, see MatSetType() and MatSetSizes()");
5521 
5522   switch (op) {
5523   case MAT_NO_OFF_PROC_ENTRIES:
5524     *flg = mat->nooffprocentries;
5525     break;
5526   case MAT_NO_OFF_PROC_ZERO_ROWS:
5527     *flg = mat->nooffproczerorows;
5528     break;
5529   case MAT_SYMMETRIC:
5530     *flg = mat->symmetric;
5531     break;
5532   case MAT_HERMITIAN:
5533     *flg = mat->hermitian;
5534     break;
5535   case MAT_STRUCTURALLY_SYMMETRIC:
5536     *flg = mat->structurally_symmetric;
5537     break;
5538   case MAT_SYMMETRY_ETERNAL:
5539     *flg = mat->symmetric_eternal;
5540     break;
5541   default:
5542     break;
5543   }
5544   PetscFunctionReturn(0);
5545 }
5546 
5547 #undef __FUNCT__
5548 #define __FUNCT__ "MatZeroEntries"
5549 /*@
5550    MatZeroEntries - Zeros all entries of a matrix.  For sparse matrices
5551    this routine retains the old nonzero structure.
5552 
5553    Logically Collective on Mat
5554 
5555    Input Parameters:
5556 .  mat - the matrix
5557 
5558    Level: intermediate
5559 
5560    Notes: If the matrix was not preallocated then a default, likely poor preallocation will be set in the matrix, so this should be called after the preallocation phase.
5561    See the Performance chapter of the users manual for information on preallocating matrices.
5562 
5563    Concepts: matrices^zeroing
5564 
5565 .seealso: MatZeroRows()
5566 @*/
5567 PetscErrorCode MatZeroEntries(Mat mat)
5568 {
5569   PetscErrorCode ierr;
5570 
5571   PetscFunctionBegin;
5572   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
5573   PetscValidType(mat,1);
5574   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5575   if (mat->insertmode != NOT_SET_VALUES) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for matrices where you have set values but not yet assembled");
5576   if (!mat->ops->zeroentries) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5577   MatCheckPreallocated(mat,1);
5578 
5579   ierr = PetscLogEventBegin(MAT_ZeroEntries,mat,0,0,0);CHKERRQ(ierr);
5580   ierr = (*mat->ops->zeroentries)(mat);CHKERRQ(ierr);
5581   ierr = PetscLogEventEnd(MAT_ZeroEntries,mat,0,0,0);CHKERRQ(ierr);
5582   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5583 #if defined(PETSC_HAVE_CUSP)
5584   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
5585     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
5586   }
5587 #elif defined(PETSC_HAVE_VIENNACL)
5588   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
5589     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
5590   }
5591 #elif defined(PETSC_HAVE_VECCUDA)
5592   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
5593     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
5594   }
5595 #endif
5596   PetscFunctionReturn(0);
5597 }
5598 
5599 #undef __FUNCT__
5600 #define __FUNCT__ "MatZeroRowsColumns"
5601 /*@C
5602    MatZeroRowsColumns - Zeros all entries (except possibly the main diagonal)
5603    of a set of rows and columns of a matrix.
5604 
5605    Collective on Mat
5606 
5607    Input Parameters:
5608 +  mat - the matrix
5609 .  numRows - the number of rows to remove
5610 .  rows - the global row indices
5611 .  diag - value put in all diagonals of eliminated rows (0.0 will even eliminate diagonal entry)
5612 .  x - optional vector of solutions for zeroed rows (other entries in vector are not used)
5613 -  b - optional vector of right hand side, that will be adjusted by provided solution
5614 
5615    Notes:
5616    This does not change the nonzero structure of the matrix, it merely zeros those entries in the matrix.
5617 
5618    The user can set a value in the diagonal entry (or for the AIJ and
5619    row formats can optionally remove the main diagonal entry from the
5620    nonzero structure as well, by passing 0.0 as the final argument).
5621 
5622    For the parallel case, all processes that share the matrix (i.e.,
5623    those in the communicator used for matrix creation) MUST call this
5624    routine, regardless of whether any rows being zeroed are owned by
5625    them.
5626 
5627    Each processor can indicate any rows in the entire matrix to be zeroed (i.e. each process does NOT have to
5628    list only rows local to itself).
5629 
5630    The option MAT_NO_OFF_PROC_ZERO_ROWS does not apply to this routine.
5631 
5632    Level: intermediate
5633 
5634    Concepts: matrices^zeroing rows
5635 
5636 .seealso: MatZeroRowsIS(), MatZeroRowsStencil(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption(), MatZeroRowsColumnsIS()
5637 @*/
5638 PetscErrorCode MatZeroRowsColumns(Mat mat,PetscInt numRows,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
5639 {
5640   PetscErrorCode ierr;
5641 
5642   PetscFunctionBegin;
5643   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
5644   PetscValidType(mat,1);
5645   if (numRows) PetscValidIntPointer(rows,3);
5646   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5647   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5648   if (!mat->ops->zerorowscolumns) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5649   MatCheckPreallocated(mat,1);
5650 
5651   ierr = (*mat->ops->zerorowscolumns)(mat,numRows,rows,diag,x,b);CHKERRQ(ierr);
5652   ierr = MatViewFromOptions(mat,NULL,"-mat_view");CHKERRQ(ierr);
5653   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5654 #if defined(PETSC_HAVE_CUSP)
5655   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
5656     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
5657   }
5658 #elif defined(PETSC_HAVE_VIENNACL)
5659   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
5660     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
5661   }
5662 #elif defined(PETSC_HAVE_VECCUDA)
5663   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
5664     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
5665   }
5666 #endif
5667   PetscFunctionReturn(0);
5668 }
5669 
5670 #undef __FUNCT__
5671 #define __FUNCT__ "MatZeroRowsColumnsIS"
5672 /*@C
5673    MatZeroRowsColumnsIS - Zeros all entries (except possibly the main diagonal)
5674    of a set of rows and columns of a matrix.
5675 
5676    Collective on Mat
5677 
5678    Input Parameters:
5679 +  mat - the matrix
5680 .  is - the rows to zero
5681 .  diag - value put in all diagonals of eliminated rows (0.0 will even eliminate diagonal entry)
5682 .  x - optional vector of solutions for zeroed rows (other entries in vector are not used)
5683 -  b - optional vector of right hand side, that will be adjusted by provided solution
5684 
5685    Notes:
5686    This does not change the nonzero structure of the matrix, it merely zeros those entries in the matrix.
5687 
5688    The user can set a value in the diagonal entry (or for the AIJ and
5689    row formats can optionally remove the main diagonal entry from the
5690    nonzero structure as well, by passing 0.0 as the final argument).
5691 
5692    For the parallel case, all processes that share the matrix (i.e.,
5693    those in the communicator used for matrix creation) MUST call this
5694    routine, regardless of whether any rows being zeroed are owned by
5695    them.
5696 
5697    Each processor can indicate any rows in the entire matrix to be zeroed (i.e. each process does NOT have to
5698    list only rows local to itself).
5699 
5700    The option MAT_NO_OFF_PROC_ZERO_ROWS does not apply to this routine.
5701 
5702    Level: intermediate
5703 
5704    Concepts: matrices^zeroing rows
5705 
5706 .seealso: MatZeroRowsIS(), MatZeroRowsStencil(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption(), MatZeroRowsColumns()
5707 @*/
5708 PetscErrorCode MatZeroRowsColumnsIS(Mat mat,IS is,PetscScalar diag,Vec x,Vec b)
5709 {
5710   PetscErrorCode ierr;
5711   PetscInt       numRows;
5712   const PetscInt *rows;
5713 
5714   PetscFunctionBegin;
5715   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
5716   PetscValidHeaderSpecific(is,IS_CLASSID,2);
5717   PetscValidType(mat,1);
5718   PetscValidType(is,2);
5719   ierr = ISGetLocalSize(is,&numRows);CHKERRQ(ierr);
5720   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
5721   ierr = MatZeroRowsColumns(mat,numRows,rows,diag,x,b);CHKERRQ(ierr);
5722   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
5723   PetscFunctionReturn(0);
5724 }
5725 
5726 #undef __FUNCT__
5727 #define __FUNCT__ "MatZeroRows"
5728 /*@C
5729    MatZeroRows - Zeros all entries (except possibly the main diagonal)
5730    of a set of rows of a matrix.
5731 
5732    Collective on Mat
5733 
5734    Input Parameters:
5735 +  mat - the matrix
5736 .  numRows - the number of rows to remove
5737 .  rows - the global row indices
5738 .  diag - value put in all diagonals of eliminated rows (0.0 will even eliminate diagonal entry)
5739 .  x - optional vector of solutions for zeroed rows (other entries in vector are not used)
5740 -  b - optional vector of right hand side, that will be adjusted by provided solution
5741 
5742    Notes:
5743    For the AIJ and BAIJ matrix formats this removes the old nonzero structure,
5744    but does not release memory.  For the dense and block diagonal
5745    formats this does not alter the nonzero structure.
5746 
5747    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
5748    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
5749    merely zeroed.
5750 
5751    The user can set a value in the diagonal entry (or for the AIJ and
5752    row formats can optionally remove the main diagonal entry from the
5753    nonzero structure as well, by passing 0.0 as the final argument).
5754 
5755    For the parallel case, all processes that share the matrix (i.e.,
5756    those in the communicator used for matrix creation) MUST call this
5757    routine, regardless of whether any rows being zeroed are owned by
5758    them.
5759 
5760    Each processor can indicate any rows in the entire matrix to be zeroed (i.e. each process does NOT have to
5761    list only rows local to itself).
5762 
5763    You can call MatSetOption(mat,MAT_NO_OFF_PROC_ZERO_ROWS,PETSC_TRUE) if each process indicates only rows it
5764    owns that are to be zeroed. This saves a global synchronization in the implementation.
5765 
5766    Level: intermediate
5767 
5768    Concepts: matrices^zeroing rows
5769 
5770 .seealso: MatZeroRowsIS(), MatZeroRowsStencil(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption()
5771 @*/
5772 PetscErrorCode MatZeroRows(Mat mat,PetscInt numRows,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
5773 {
5774   PetscErrorCode ierr;
5775 
5776   PetscFunctionBegin;
5777   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
5778   PetscValidType(mat,1);
5779   if (numRows) PetscValidIntPointer(rows,3);
5780   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5781   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5782   if (!mat->ops->zerorows) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5783   MatCheckPreallocated(mat,1);
5784 
5785   ierr = (*mat->ops->zerorows)(mat,numRows,rows,diag,x,b);CHKERRQ(ierr);
5786   ierr = MatViewFromOptions(mat,NULL,"-mat_view");CHKERRQ(ierr);
5787   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5788 #if defined(PETSC_HAVE_CUSP)
5789   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
5790     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
5791   }
5792 #elif defined(PETSC_HAVE_VIENNACL)
5793   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
5794     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
5795   }
5796 #elif defined(PETSC_HAVE_VECCUDA)
5797   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
5798     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
5799   }
5800 #endif
5801   PetscFunctionReturn(0);
5802 }
5803 
5804 #undef __FUNCT__
5805 #define __FUNCT__ "MatZeroRowsIS"
5806 /*@C
5807    MatZeroRowsIS - Zeros all entries (except possibly the main diagonal)
5808    of a set of rows of a matrix.
5809 
5810    Collective on Mat
5811 
5812    Input Parameters:
5813 +  mat - the matrix
5814 .  is - index set of rows to remove
5815 .  diag - value put in all diagonals of eliminated rows
5816 .  x - optional vector of solutions for zeroed rows (other entries in vector are not used)
5817 -  b - optional vector of right hand side, that will be adjusted by provided solution
5818 
5819    Notes:
5820    For the AIJ and BAIJ matrix formats this removes the old nonzero structure,
5821    but does not release memory.  For the dense and block diagonal
5822    formats this does not alter the nonzero structure.
5823 
5824    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
5825    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
5826    merely zeroed.
5827 
5828    The user can set a value in the diagonal entry (or for the AIJ and
5829    row formats can optionally remove the main diagonal entry from the
5830    nonzero structure as well, by passing 0.0 as the final argument).
5831 
5832    For the parallel case, all processes that share the matrix (i.e.,
5833    those in the communicator used for matrix creation) MUST call this
5834    routine, regardless of whether any rows being zeroed are owned by
5835    them.
5836 
5837    Each processor can indicate any rows in the entire matrix to be zeroed (i.e. each process does NOT have to
5838    list only rows local to itself).
5839 
5840    You can call MatSetOption(mat,MAT_NO_OFF_PROC_ZERO_ROWS,PETSC_TRUE) if each process indicates only rows it
5841    owns that are to be zeroed. This saves a global synchronization in the implementation.
5842 
5843    Level: intermediate
5844 
5845    Concepts: matrices^zeroing rows
5846 
5847 .seealso: MatZeroRows(), MatZeroRowsStencil(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption()
5848 @*/
5849 PetscErrorCode MatZeroRowsIS(Mat mat,IS is,PetscScalar diag,Vec x,Vec b)
5850 {
5851   PetscInt       numRows;
5852   const PetscInt *rows;
5853   PetscErrorCode ierr;
5854 
5855   PetscFunctionBegin;
5856   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
5857   PetscValidType(mat,1);
5858   PetscValidHeaderSpecific(is,IS_CLASSID,2);
5859   ierr = ISGetLocalSize(is,&numRows);CHKERRQ(ierr);
5860   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
5861   ierr = MatZeroRows(mat,numRows,rows,diag,x,b);CHKERRQ(ierr);
5862   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
5863   PetscFunctionReturn(0);
5864 }
5865 
5866 #undef __FUNCT__
5867 #define __FUNCT__ "MatZeroRowsStencil"
5868 /*@C
5869    MatZeroRowsStencil - Zeros all entries (except possibly the main diagonal)
5870    of a set of rows of a matrix. These rows must be local to the process.
5871 
5872    Collective on Mat
5873 
5874    Input Parameters:
5875 +  mat - the matrix
5876 .  numRows - the number of rows to remove
5877 .  rows - the grid coordinates (and component number when dof > 1) for matrix rows
5878 .  diag - value put in all diagonals of eliminated rows (0.0 will even eliminate diagonal entry)
5879 .  x - optional vector of solutions for zeroed rows (other entries in vector are not used)
5880 -  b - optional vector of right hand side, that will be adjusted by provided solution
5881 
5882    Notes:
5883    For the AIJ and BAIJ matrix formats this removes the old nonzero structure,
5884    but does not release memory.  For the dense and block diagonal
5885    formats this does not alter the nonzero structure.
5886 
5887    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
5888    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
5889    merely zeroed.
5890 
5891    The user can set a value in the diagonal entry (or for the AIJ and
5892    row formats can optionally remove the main diagonal entry from the
5893    nonzero structure as well, by passing 0.0 as the final argument).
5894 
5895    For the parallel case, all processes that share the matrix (i.e.,
5896    those in the communicator used for matrix creation) MUST call this
5897    routine, regardless of whether any rows being zeroed are owned by
5898    them.
5899 
5900    Each processor can indicate any rows in the entire matrix to be zeroed (i.e. each process does NOT have to
5901    list only rows local to itself).
5902 
5903    The grid coordinates are across the entire grid, not just the local portion
5904 
5905    In Fortran idxm and idxn should be declared as
5906 $     MatStencil idxm(4,m)
5907    and the values inserted using
5908 $    idxm(MatStencil_i,1) = i
5909 $    idxm(MatStencil_j,1) = j
5910 $    idxm(MatStencil_k,1) = k
5911 $    idxm(MatStencil_c,1) = c
5912    etc
5913 
5914    For periodic boundary conditions use negative indices for values to the left (below 0; that are to be
5915    obtained by wrapping values from right edge). For values to the right of the last entry using that index plus one
5916    etc to obtain values that obtained by wrapping the values from the left edge. This does not work for anything but the
5917    DM_BOUNDARY_PERIODIC boundary type.
5918 
5919    For indices that don't mean anything for your case (like the k index when working in 2d) or the c index when you have
5920    a single value per point) you can skip filling those indices.
5921 
5922    Level: intermediate
5923 
5924    Concepts: matrices^zeroing rows
5925 
5926 .seealso: MatZeroRows(), MatZeroRowsIS(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption()
5927 @*/
5928 PetscErrorCode MatZeroRowsStencil(Mat mat,PetscInt numRows,const MatStencil rows[],PetscScalar diag,Vec x,Vec b)
5929 {
5930   PetscInt       dim     = mat->stencil.dim;
5931   PetscInt       sdim    = dim - (1 - (PetscInt) mat->stencil.noc);
5932   PetscInt       *dims   = mat->stencil.dims+1;
5933   PetscInt       *starts = mat->stencil.starts;
5934   PetscInt       *dxm    = (PetscInt*) rows;
5935   PetscInt       *jdxm, i, j, tmp, numNewRows = 0;
5936   PetscErrorCode ierr;
5937 
5938   PetscFunctionBegin;
5939   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
5940   PetscValidType(mat,1);
5941   if (numRows) PetscValidIntPointer(rows,3);
5942 
5943   ierr = PetscMalloc1(numRows, &jdxm);CHKERRQ(ierr);
5944   for (i = 0; i < numRows; ++i) {
5945     /* Skip unused dimensions (they are ordered k, j, i, c) */
5946     for (j = 0; j < 3-sdim; ++j) dxm++;
5947     /* Local index in X dir */
5948     tmp = *dxm++ - starts[0];
5949     /* Loop over remaining dimensions */
5950     for (j = 0; j < dim-1; ++j) {
5951       /* If nonlocal, set index to be negative */
5952       if ((*dxm++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
5953       /* Update local index */
5954       else tmp = tmp*dims[j] + *(dxm-1) - starts[j+1];
5955     }
5956     /* Skip component slot if necessary */
5957     if (mat->stencil.noc) dxm++;
5958     /* Local row number */
5959     if (tmp >= 0) {
5960       jdxm[numNewRows++] = tmp;
5961     }
5962   }
5963   ierr = MatZeroRowsLocal(mat,numNewRows,jdxm,diag,x,b);CHKERRQ(ierr);
5964   ierr = PetscFree(jdxm);CHKERRQ(ierr);
5965   PetscFunctionReturn(0);
5966 }
5967 
5968 #undef __FUNCT__
5969 #define __FUNCT__ "MatZeroRowsColumnsStencil"
5970 /*@C
5971    MatZeroRowsColumnsStencil - Zeros all row and column entries (except possibly the main diagonal)
5972    of a set of rows and columns of a matrix.
5973 
5974    Collective on Mat
5975 
5976    Input Parameters:
5977 +  mat - the matrix
5978 .  numRows - the number of rows/columns to remove
5979 .  rows - the grid coordinates (and component number when dof > 1) for matrix rows
5980 .  diag - value put in all diagonals of eliminated rows (0.0 will even eliminate diagonal entry)
5981 .  x - optional vector of solutions for zeroed rows (other entries in vector are not used)
5982 -  b - optional vector of right hand side, that will be adjusted by provided solution
5983 
5984    Notes:
5985    For the AIJ and BAIJ matrix formats this removes the old nonzero structure,
5986    but does not release memory.  For the dense and block diagonal
5987    formats this does not alter the nonzero structure.
5988 
5989    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
5990    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
5991    merely zeroed.
5992 
5993    The user can set a value in the diagonal entry (or for the AIJ and
5994    row formats can optionally remove the main diagonal entry from the
5995    nonzero structure as well, by passing 0.0 as the final argument).
5996 
5997    For the parallel case, all processes that share the matrix (i.e.,
5998    those in the communicator used for matrix creation) MUST call this
5999    routine, regardless of whether any rows being zeroed are owned by
6000    them.
6001 
6002    Each processor can indicate any rows in the entire matrix to be zeroed (i.e. each process does NOT have to
6003    list only rows local to itself, but the row/column numbers are given in local numbering).
6004 
6005    The grid coordinates are across the entire grid, not just the local portion
6006 
6007    In Fortran idxm and idxn should be declared as
6008 $     MatStencil idxm(4,m)
6009    and the values inserted using
6010 $    idxm(MatStencil_i,1) = i
6011 $    idxm(MatStencil_j,1) = j
6012 $    idxm(MatStencil_k,1) = k
6013 $    idxm(MatStencil_c,1) = c
6014    etc
6015 
6016    For periodic boundary conditions use negative indices for values to the left (below 0; that are to be
6017    obtained by wrapping values from right edge). For values to the right of the last entry using that index plus one
6018    etc to obtain values that obtained by wrapping the values from the left edge. This does not work for anything but the
6019    DM_BOUNDARY_PERIODIC boundary type.
6020 
6021    For indices that don't mean anything for your case (like the k index when working in 2d) or the c index when you have
6022    a single value per point) you can skip filling those indices.
6023 
6024    Level: intermediate
6025 
6026    Concepts: matrices^zeroing rows
6027 
6028 .seealso: MatZeroRows(), MatZeroRowsIS(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption()
6029 @*/
6030 PetscErrorCode MatZeroRowsColumnsStencil(Mat mat,PetscInt numRows,const MatStencil rows[],PetscScalar diag,Vec x,Vec b)
6031 {
6032   PetscInt       dim     = mat->stencil.dim;
6033   PetscInt       sdim    = dim - (1 - (PetscInt) mat->stencil.noc);
6034   PetscInt       *dims   = mat->stencil.dims+1;
6035   PetscInt       *starts = mat->stencil.starts;
6036   PetscInt       *dxm    = (PetscInt*) rows;
6037   PetscInt       *jdxm, i, j, tmp, numNewRows = 0;
6038   PetscErrorCode ierr;
6039 
6040   PetscFunctionBegin;
6041   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6042   PetscValidType(mat,1);
6043   if (numRows) PetscValidIntPointer(rows,3);
6044 
6045   ierr = PetscMalloc1(numRows, &jdxm);CHKERRQ(ierr);
6046   for (i = 0; i < numRows; ++i) {
6047     /* Skip unused dimensions (they are ordered k, j, i, c) */
6048     for (j = 0; j < 3-sdim; ++j) dxm++;
6049     /* Local index in X dir */
6050     tmp = *dxm++ - starts[0];
6051     /* Loop over remaining dimensions */
6052     for (j = 0; j < dim-1; ++j) {
6053       /* If nonlocal, set index to be negative */
6054       if ((*dxm++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
6055       /* Update local index */
6056       else tmp = tmp*dims[j] + *(dxm-1) - starts[j+1];
6057     }
6058     /* Skip component slot if necessary */
6059     if (mat->stencil.noc) dxm++;
6060     /* Local row number */
6061     if (tmp >= 0) {
6062       jdxm[numNewRows++] = tmp;
6063     }
6064   }
6065   ierr = MatZeroRowsColumnsLocal(mat,numNewRows,jdxm,diag,x,b);CHKERRQ(ierr);
6066   ierr = PetscFree(jdxm);CHKERRQ(ierr);
6067   PetscFunctionReturn(0);
6068 }
6069 
6070 #undef __FUNCT__
6071 #define __FUNCT__ "MatZeroRowsLocal"
6072 /*@C
6073    MatZeroRowsLocal - Zeros all entries (except possibly the main diagonal)
6074    of a set of rows of a matrix; using local numbering of rows.
6075 
6076    Collective on Mat
6077 
6078    Input Parameters:
6079 +  mat - the matrix
6080 .  numRows - the number of rows to remove
6081 .  rows - the global row indices
6082 .  diag - value put in all diagonals of eliminated rows
6083 .  x - optional vector of solutions for zeroed rows (other entries in vector are not used)
6084 -  b - optional vector of right hand side, that will be adjusted by provided solution
6085 
6086    Notes:
6087    Before calling MatZeroRowsLocal(), the user must first set the
6088    local-to-global mapping by calling MatSetLocalToGlobalMapping().
6089 
6090    For the AIJ matrix formats this removes the old nonzero structure,
6091    but does not release memory.  For the dense and block diagonal
6092    formats this does not alter the nonzero structure.
6093 
6094    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
6095    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
6096    merely zeroed.
6097 
6098    The user can set a value in the diagonal entry (or for the AIJ and
6099    row formats can optionally remove the main diagonal entry from the
6100    nonzero structure as well, by passing 0.0 as the final argument).
6101 
6102    You can call MatSetOption(mat,MAT_NO_OFF_PROC_ZERO_ROWS,PETSC_TRUE) if each process indicates only rows it
6103    owns that are to be zeroed. This saves a global synchronization in the implementation.
6104 
6105    Level: intermediate
6106 
6107    Concepts: matrices^zeroing
6108 
6109 .seealso: MatZeroRows(), MatZeroRowsLocalIS(), MatZeroEntries(), MatZeroRows(), MatSetLocalToGlobalMapping
6110 @*/
6111 PetscErrorCode MatZeroRowsLocal(Mat mat,PetscInt numRows,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
6112 {
6113   PetscErrorCode ierr;
6114 
6115   PetscFunctionBegin;
6116   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6117   PetscValidType(mat,1);
6118   if (numRows) PetscValidIntPointer(rows,3);
6119   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6120   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6121   MatCheckPreallocated(mat,1);
6122 
6123   if (mat->ops->zerorowslocal) {
6124     ierr = (*mat->ops->zerorowslocal)(mat,numRows,rows,diag,x,b);CHKERRQ(ierr);
6125   } else {
6126     IS             is, newis;
6127     const PetscInt *newRows;
6128 
6129     if (!mat->rmap->mapping) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Need to provide local to global mapping to matrix first");
6130     ierr = ISCreateGeneral(PETSC_COMM_SELF,numRows,rows,PETSC_COPY_VALUES,&is);CHKERRQ(ierr);
6131     ierr = ISLocalToGlobalMappingApplyIS(mat->rmap->mapping,is,&newis);CHKERRQ(ierr);
6132     ierr = ISGetIndices(newis,&newRows);CHKERRQ(ierr);
6133     ierr = (*mat->ops->zerorows)(mat,numRows,newRows,diag,x,b);CHKERRQ(ierr);
6134     ierr = ISRestoreIndices(newis,&newRows);CHKERRQ(ierr);
6135     ierr = ISDestroy(&newis);CHKERRQ(ierr);
6136     ierr = ISDestroy(&is);CHKERRQ(ierr);
6137   }
6138   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6139 #if defined(PETSC_HAVE_CUSP)
6140   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
6141     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
6142   }
6143 #elif defined(PETSC_HAVE_VIENNACL)
6144   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
6145     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
6146   }
6147 #elif defined(PETSC_HAVE_VECCUDA)
6148   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
6149     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
6150   }
6151 #endif
6152   PetscFunctionReturn(0);
6153 }
6154 
6155 #undef __FUNCT__
6156 #define __FUNCT__ "MatZeroRowsLocalIS"
6157 /*@C
6158    MatZeroRowsLocalIS - Zeros all entries (except possibly the main diagonal)
6159    of a set of rows of a matrix; using local numbering of rows.
6160 
6161    Collective on Mat
6162 
6163    Input Parameters:
6164 +  mat - the matrix
6165 .  is - index set of rows to remove
6166 .  diag - value put in all diagonals of eliminated rows
6167 .  x - optional vector of solutions for zeroed rows (other entries in vector are not used)
6168 -  b - optional vector of right hand side, that will be adjusted by provided solution
6169 
6170    Notes:
6171    Before calling MatZeroRowsLocalIS(), the user must first set the
6172    local-to-global mapping by calling MatSetLocalToGlobalMapping().
6173 
6174    For the AIJ matrix formats this removes the old nonzero structure,
6175    but does not release memory.  For the dense and block diagonal
6176    formats this does not alter the nonzero structure.
6177 
6178    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
6179    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
6180    merely zeroed.
6181 
6182    The user can set a value in the diagonal entry (or for the AIJ and
6183    row formats can optionally remove the main diagonal entry from the
6184    nonzero structure as well, by passing 0.0 as the final argument).
6185 
6186    You can call MatSetOption(mat,MAT_NO_OFF_PROC_ZERO_ROWS,PETSC_TRUE) if each process indicates only rows it
6187    owns that are to be zeroed. This saves a global synchronization in the implementation.
6188 
6189    Level: intermediate
6190 
6191    Concepts: matrices^zeroing
6192 
6193 .seealso: MatZeroRows(), MatZeroRowsLocal(), MatZeroEntries(), MatZeroRows(), MatSetLocalToGlobalMapping
6194 @*/
6195 PetscErrorCode MatZeroRowsLocalIS(Mat mat,IS is,PetscScalar diag,Vec x,Vec b)
6196 {
6197   PetscErrorCode ierr;
6198   PetscInt       numRows;
6199   const PetscInt *rows;
6200 
6201   PetscFunctionBegin;
6202   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6203   PetscValidType(mat,1);
6204   PetscValidHeaderSpecific(is,IS_CLASSID,2);
6205   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6206   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6207   MatCheckPreallocated(mat,1);
6208 
6209   ierr = ISGetLocalSize(is,&numRows);CHKERRQ(ierr);
6210   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
6211   ierr = MatZeroRowsLocal(mat,numRows,rows,diag,x,b);CHKERRQ(ierr);
6212   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
6213   PetscFunctionReturn(0);
6214 }
6215 
6216 #undef __FUNCT__
6217 #define __FUNCT__ "MatZeroRowsColumnsLocal"
6218 /*@C
6219    MatZeroRowsColumnsLocal - Zeros all entries (except possibly the main diagonal)
6220    of a set of rows and columns of a matrix; using local numbering of rows.
6221 
6222    Collective on Mat
6223 
6224    Input Parameters:
6225 +  mat - the matrix
6226 .  numRows - the number of rows to remove
6227 .  rows - the global row indices
6228 .  diag - value put in all diagonals of eliminated rows
6229 .  x - optional vector of solutions for zeroed rows (other entries in vector are not used)
6230 -  b - optional vector of right hand side, that will be adjusted by provided solution
6231 
6232    Notes:
6233    Before calling MatZeroRowsColumnsLocal(), the user must first set the
6234    local-to-global mapping by calling MatSetLocalToGlobalMapping().
6235 
6236    The user can set a value in the diagonal entry (or for the AIJ and
6237    row formats can optionally remove the main diagonal entry from the
6238    nonzero structure as well, by passing 0.0 as the final argument).
6239 
6240    Level: intermediate
6241 
6242    Concepts: matrices^zeroing
6243 
6244 .seealso: MatZeroRows(), MatZeroRowsLocalIS(), MatZeroEntries(), MatZeroRows(), MatSetLocalToGlobalMapping
6245 @*/
6246 PetscErrorCode MatZeroRowsColumnsLocal(Mat mat,PetscInt numRows,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
6247 {
6248   PetscErrorCode ierr;
6249   IS             is, newis;
6250   const PetscInt *newRows;
6251 
6252   PetscFunctionBegin;
6253   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6254   PetscValidType(mat,1);
6255   if (numRows) PetscValidIntPointer(rows,3);
6256   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6257   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6258   MatCheckPreallocated(mat,1);
6259 
6260   if (!mat->cmap->mapping) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Need to provide local to global mapping to matrix first");
6261   ierr = ISCreateGeneral(PETSC_COMM_SELF,numRows,rows,PETSC_COPY_VALUES,&is);CHKERRQ(ierr);
6262   ierr = ISLocalToGlobalMappingApplyIS(mat->cmap->mapping,is,&newis);CHKERRQ(ierr);
6263   ierr = ISGetIndices(newis,&newRows);CHKERRQ(ierr);
6264   ierr = (*mat->ops->zerorowscolumns)(mat,numRows,newRows,diag,x,b);CHKERRQ(ierr);
6265   ierr = ISRestoreIndices(newis,&newRows);CHKERRQ(ierr);
6266   ierr = ISDestroy(&newis);CHKERRQ(ierr);
6267   ierr = ISDestroy(&is);CHKERRQ(ierr);
6268   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6269 #if defined(PETSC_HAVE_CUSP)
6270   if (mat->valid_GPU_matrix != PETSC_CUSP_UNALLOCATED) {
6271     mat->valid_GPU_matrix = PETSC_CUSP_CPU;
6272   }
6273 #elif defined(PETSC_HAVE_VIENNACL)
6274   if (mat->valid_GPU_matrix != PETSC_VIENNACL_UNALLOCATED) {
6275     mat->valid_GPU_matrix = PETSC_VIENNACL_CPU;
6276   }
6277 #elif defined(PETSC_HAVE_VECCUDA)
6278   if (mat->valid_GPU_matrix != PETSC_CUDA_UNALLOCATED) {
6279     mat->valid_GPU_matrix = PETSC_CUDA_CPU;
6280   }
6281 #endif
6282   PetscFunctionReturn(0);
6283 }
6284 
6285 #undef __FUNCT__
6286 #define __FUNCT__ "MatZeroRowsColumnsLocalIS"
6287 /*@C
6288    MatZeroRowsColumnsLocalIS - Zeros all entries (except possibly the main diagonal)
6289    of a set of rows and columns of a matrix; using local numbering of rows.
6290 
6291    Collective on Mat
6292 
6293    Input Parameters:
6294 +  mat - the matrix
6295 .  is - index set of rows to remove
6296 .  diag - value put in all diagonals of eliminated rows
6297 .  x - optional vector of solutions for zeroed rows (other entries in vector are not used)
6298 -  b - optional vector of right hand side, that will be adjusted by provided solution
6299 
6300    Notes:
6301    Before calling MatZeroRowsColumnsLocalIS(), the user must first set the
6302    local-to-global mapping by calling MatSetLocalToGlobalMapping().
6303 
6304    The user can set a value in the diagonal entry (or for the AIJ and
6305    row formats can optionally remove the main diagonal entry from the
6306    nonzero structure as well, by passing 0.0 as the final argument).
6307 
6308    Level: intermediate
6309 
6310    Concepts: matrices^zeroing
6311 
6312 .seealso: MatZeroRows(), MatZeroRowsLocal(), MatZeroEntries(), MatZeroRows(), MatSetLocalToGlobalMapping
6313 @*/
6314 PetscErrorCode MatZeroRowsColumnsLocalIS(Mat mat,IS is,PetscScalar diag,Vec x,Vec b)
6315 {
6316   PetscErrorCode ierr;
6317   PetscInt       numRows;
6318   const PetscInt *rows;
6319 
6320   PetscFunctionBegin;
6321   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6322   PetscValidType(mat,1);
6323   PetscValidHeaderSpecific(is,IS_CLASSID,2);
6324   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6325   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6326   MatCheckPreallocated(mat,1);
6327 
6328   ierr = ISGetLocalSize(is,&numRows);CHKERRQ(ierr);
6329   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
6330   ierr = MatZeroRowsColumnsLocal(mat,numRows,rows,diag,x,b);CHKERRQ(ierr);
6331   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
6332   PetscFunctionReturn(0);
6333 }
6334 
6335 #undef __FUNCT__
6336 #define __FUNCT__ "MatGetSize"
6337 /*@
6338    MatGetSize - Returns the numbers of rows and columns in a matrix.
6339 
6340    Not Collective
6341 
6342    Input Parameter:
6343 .  mat - the matrix
6344 
6345    Output Parameters:
6346 +  m - the number of global rows
6347 -  n - the number of global columns
6348 
6349    Note: both output parameters can be NULL on input.
6350 
6351    Level: beginner
6352 
6353    Concepts: matrices^size
6354 
6355 .seealso: MatGetLocalSize()
6356 @*/
6357 PetscErrorCode MatGetSize(Mat mat,PetscInt *m,PetscInt *n)
6358 {
6359   PetscFunctionBegin;
6360   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6361   if (m) *m = mat->rmap->N;
6362   if (n) *n = mat->cmap->N;
6363   PetscFunctionReturn(0);
6364 }
6365 
6366 #undef __FUNCT__
6367 #define __FUNCT__ "MatGetLocalSize"
6368 /*@
6369    MatGetLocalSize - Returns the number of rows and columns in a matrix
6370    stored locally.  This information may be implementation dependent, so
6371    use with care.
6372 
6373    Not Collective
6374 
6375    Input Parameters:
6376 .  mat - the matrix
6377 
6378    Output Parameters:
6379 +  m - the number of local rows
6380 -  n - the number of local columns
6381 
6382    Note: both output parameters can be NULL on input.
6383 
6384    Level: beginner
6385 
6386    Concepts: matrices^local size
6387 
6388 .seealso: MatGetSize()
6389 @*/
6390 PetscErrorCode MatGetLocalSize(Mat mat,PetscInt *m,PetscInt *n)
6391 {
6392   PetscFunctionBegin;
6393   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6394   if (m) PetscValidIntPointer(m,2);
6395   if (n) PetscValidIntPointer(n,3);
6396   if (m) *m = mat->rmap->n;
6397   if (n) *n = mat->cmap->n;
6398   PetscFunctionReturn(0);
6399 }
6400 
6401 #undef __FUNCT__
6402 #define __FUNCT__ "MatGetOwnershipRangeColumn"
6403 /*@
6404    MatGetOwnershipRangeColumn - Returns the range of matrix columns associated with rows of a vector one multiplies by that owned by
6405    this processor. (The columns of the "diagonal block")
6406 
6407    Not Collective, unless matrix has not been allocated, then collective on Mat
6408 
6409    Input Parameters:
6410 .  mat - the matrix
6411 
6412    Output Parameters:
6413 +  m - the global index of the first local column
6414 -  n - one more than the global index of the last local column
6415 
6416    Notes: both output parameters can be NULL on input.
6417 
6418    Level: developer
6419 
6420    Concepts: matrices^column ownership
6421 
6422 .seealso:  MatGetOwnershipRange(), MatGetOwnershipRanges(), MatGetOwnershipRangesColumn()
6423 
6424 @*/
6425 PetscErrorCode MatGetOwnershipRangeColumn(Mat mat,PetscInt *m,PetscInt *n)
6426 {
6427   PetscFunctionBegin;
6428   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6429   PetscValidType(mat,1);
6430   if (m) PetscValidIntPointer(m,2);
6431   if (n) PetscValidIntPointer(n,3);
6432   MatCheckPreallocated(mat,1);
6433   if (m) *m = mat->cmap->rstart;
6434   if (n) *n = mat->cmap->rend;
6435   PetscFunctionReturn(0);
6436 }
6437 
6438 #undef __FUNCT__
6439 #define __FUNCT__ "MatGetOwnershipRange"
6440 /*@
6441    MatGetOwnershipRange - Returns the range of matrix rows owned by
6442    this processor, assuming that the matrix is laid out with the first
6443    n1 rows on the first processor, the next n2 rows on the second, etc.
6444    For certain parallel layouts this range may not be well defined.
6445 
6446    Not Collective
6447 
6448    Input Parameters:
6449 .  mat - the matrix
6450 
6451    Output Parameters:
6452 +  m - the global index of the first local row
6453 -  n - one more than the global index of the last local row
6454 
6455    Note: Both output parameters can be NULL on input.
6456 $  This function requires that the matrix be preallocated. If you have not preallocated, consider using
6457 $    PetscSplitOwnership(MPI_Comm comm, PetscInt *n, PetscInt *N)
6458 $  and then MPI_Scan() to calculate prefix sums of the local sizes.
6459 
6460    Level: beginner
6461 
6462    Concepts: matrices^row ownership
6463 
6464 .seealso:   MatGetOwnershipRanges(), MatGetOwnershipRangeColumn(), MatGetOwnershipRangesColumn(), PetscSplitOwnership(), PetscSplitOwnershipBlock()
6465 
6466 @*/
6467 PetscErrorCode MatGetOwnershipRange(Mat mat,PetscInt *m,PetscInt *n)
6468 {
6469   PetscFunctionBegin;
6470   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6471   PetscValidType(mat,1);
6472   if (m) PetscValidIntPointer(m,2);
6473   if (n) PetscValidIntPointer(n,3);
6474   MatCheckPreallocated(mat,1);
6475   if (m) *m = mat->rmap->rstart;
6476   if (n) *n = mat->rmap->rend;
6477   PetscFunctionReturn(0);
6478 }
6479 
6480 #undef __FUNCT__
6481 #define __FUNCT__ "MatGetOwnershipRanges"
6482 /*@C
6483    MatGetOwnershipRanges - Returns the range of matrix rows owned by
6484    each process
6485 
6486    Not Collective, unless matrix has not been allocated, then collective on Mat
6487 
6488    Input Parameters:
6489 .  mat - the matrix
6490 
6491    Output Parameters:
6492 .  ranges - start of each processors portion plus one more than the total length at the end
6493 
6494    Level: beginner
6495 
6496    Concepts: matrices^row ownership
6497 
6498 .seealso:   MatGetOwnershipRange(), MatGetOwnershipRangeColumn(), MatGetOwnershipRangesColumn()
6499 
6500 @*/
6501 PetscErrorCode MatGetOwnershipRanges(Mat mat,const PetscInt **ranges)
6502 {
6503   PetscErrorCode ierr;
6504 
6505   PetscFunctionBegin;
6506   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6507   PetscValidType(mat,1);
6508   MatCheckPreallocated(mat,1);
6509   ierr = PetscLayoutGetRanges(mat->rmap,ranges);CHKERRQ(ierr);
6510   PetscFunctionReturn(0);
6511 }
6512 
6513 #undef __FUNCT__
6514 #define __FUNCT__ "MatGetOwnershipRangesColumn"
6515 /*@C
6516    MatGetOwnershipRangesColumn - Returns the range of matrix columns associated with rows of a vector one multiplies by that owned by
6517    this processor. (The columns of the "diagonal blocks" for each process)
6518 
6519    Not Collective, unless matrix has not been allocated, then collective on Mat
6520 
6521    Input Parameters:
6522 .  mat - the matrix
6523 
6524    Output Parameters:
6525 .  ranges - start of each processors portion plus one more then the total length at the end
6526 
6527    Level: beginner
6528 
6529    Concepts: matrices^column ownership
6530 
6531 .seealso:   MatGetOwnershipRange(), MatGetOwnershipRangeColumn(), MatGetOwnershipRanges()
6532 
6533 @*/
6534 PetscErrorCode MatGetOwnershipRangesColumn(Mat mat,const PetscInt **ranges)
6535 {
6536   PetscErrorCode ierr;
6537 
6538   PetscFunctionBegin;
6539   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6540   PetscValidType(mat,1);
6541   MatCheckPreallocated(mat,1);
6542   ierr = PetscLayoutGetRanges(mat->cmap,ranges);CHKERRQ(ierr);
6543   PetscFunctionReturn(0);
6544 }
6545 
6546 #undef __FUNCT__
6547 #define __FUNCT__ "MatGetOwnershipIS"
6548 /*@C
6549    MatGetOwnershipIS - Get row and column ownership as index sets
6550 
6551    Not Collective
6552 
6553    Input Arguments:
6554 .  A - matrix of type Elemental
6555 
6556    Output Arguments:
6557 +  rows - rows in which this process owns elements
6558 .  cols - columns in which this process owns elements
6559 
6560    Level: intermediate
6561 
6562 .seealso: MatGetOwnershipRange(), MatGetOwnershipRangeColumn(), MatSetValues(), MATELEMENTAL, MatSetValues()
6563 @*/
6564 PetscErrorCode MatGetOwnershipIS(Mat A,IS *rows,IS *cols)
6565 {
6566   PetscErrorCode ierr,(*f)(Mat,IS*,IS*);
6567 
6568   PetscFunctionBegin;
6569   MatCheckPreallocated(A,1);
6570   ierr = PetscObjectQueryFunction((PetscObject)A,"MatGetOwnershipIS_C",&f);CHKERRQ(ierr);
6571   if (f) {
6572     ierr = (*f)(A,rows,cols);CHKERRQ(ierr);
6573   } else {   /* Create a standard row-based partition, each process is responsible for ALL columns in their row block */
6574     if (rows) {ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->n,A->rmap->rstart,1,rows);CHKERRQ(ierr);}
6575     if (cols) {ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,cols);CHKERRQ(ierr);}
6576   }
6577   PetscFunctionReturn(0);
6578 }
6579 
6580 #undef __FUNCT__
6581 #define __FUNCT__ "MatILUFactorSymbolic"
6582 /*@C
6583    MatILUFactorSymbolic - Performs symbolic ILU factorization of a matrix.
6584    Uses levels of fill only, not drop tolerance. Use MatLUFactorNumeric()
6585    to complete the factorization.
6586 
6587    Collective on Mat
6588 
6589    Input Parameters:
6590 +  mat - the matrix
6591 .  row - row permutation
6592 .  column - column permutation
6593 -  info - structure containing
6594 $      levels - number of levels of fill.
6595 $      expected fill - as ratio of original fill.
6596 $      1 or 0 - indicating force fill on diagonal (improves robustness for matrices
6597                 missing diagonal entries)
6598 
6599    Output Parameters:
6600 .  fact - new matrix that has been symbolically factored
6601 
6602    Notes: See Users-Manual: ch_mat for additional information about choosing the fill factor for better efficiency.
6603 
6604    Most users should employ the simplified KSP interface for linear solvers
6605    instead of working directly with matrix algebra routines such as this.
6606    See, e.g., KSPCreate().
6607 
6608    Level: developer
6609 
6610   Concepts: matrices^symbolic LU factorization
6611   Concepts: matrices^factorization
6612   Concepts: LU^symbolic factorization
6613 
6614 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor()
6615           MatGetOrdering(), MatFactorInfo
6616 
6617     Developer Note: fortran interface is not autogenerated as the f90
6618     interface defintion cannot be generated correctly [due to MatFactorInfo]
6619 
6620 @*/
6621 PetscErrorCode MatILUFactorSymbolic(Mat fact,Mat mat,IS row,IS col,const MatFactorInfo *info)
6622 {
6623   PetscErrorCode ierr;
6624 
6625   PetscFunctionBegin;
6626   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6627   PetscValidType(mat,1);
6628   PetscValidHeaderSpecific(row,IS_CLASSID,2);
6629   PetscValidHeaderSpecific(col,IS_CLASSID,3);
6630   PetscValidPointer(info,4);
6631   PetscValidPointer(fact,5);
6632   if (info->levels < 0) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_OUTOFRANGE,"Levels of fill negative %D",(PetscInt)info->levels);
6633   if (info->fill < 1.0) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_OUTOFRANGE,"Expected fill less than 1.0 %g",(double)info->fill);
6634   if (!(fact)->ops->ilufactorsymbolic) {
6635     const MatSolverPackage spackage;
6636     ierr = MatFactorGetSolverPackage(fact,&spackage);CHKERRQ(ierr);
6637     SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Matrix type %s symbolic ILU using solver package %s",((PetscObject)mat)->type_name,spackage);
6638   }
6639   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6640   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6641   MatCheckPreallocated(mat,2);
6642 
6643   ierr = PetscLogEventBegin(MAT_ILUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
6644   ierr = (fact->ops->ilufactorsymbolic)(fact,mat,row,col,info);CHKERRQ(ierr);
6645   ierr = PetscLogEventEnd(MAT_ILUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
6646   PetscFunctionReturn(0);
6647 }
6648 
6649 #undef __FUNCT__
6650 #define __FUNCT__ "MatICCFactorSymbolic"
6651 /*@C
6652    MatICCFactorSymbolic - Performs symbolic incomplete
6653    Cholesky factorization for a symmetric matrix.  Use
6654    MatCholeskyFactorNumeric() to complete the factorization.
6655 
6656    Collective on Mat
6657 
6658    Input Parameters:
6659 +  mat - the matrix
6660 .  perm - row and column permutation
6661 -  info - structure containing
6662 $      levels - number of levels of fill.
6663 $      expected fill - as ratio of original fill.
6664 
6665    Output Parameter:
6666 .  fact - the factored matrix
6667 
6668    Notes:
6669    Most users should employ the KSP interface for linear solvers
6670    instead of working directly with matrix algebra routines such as this.
6671    See, e.g., KSPCreate().
6672 
6673    Level: developer
6674 
6675   Concepts: matrices^symbolic incomplete Cholesky factorization
6676   Concepts: matrices^factorization
6677   Concepts: Cholsky^symbolic factorization
6678 
6679 .seealso: MatCholeskyFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
6680 
6681     Developer Note: fortran interface is not autogenerated as the f90
6682     interface defintion cannot be generated correctly [due to MatFactorInfo]
6683 
6684 @*/
6685 PetscErrorCode MatICCFactorSymbolic(Mat fact,Mat mat,IS perm,const MatFactorInfo *info)
6686 {
6687   PetscErrorCode ierr;
6688 
6689   PetscFunctionBegin;
6690   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6691   PetscValidType(mat,1);
6692   PetscValidHeaderSpecific(perm,IS_CLASSID,2);
6693   PetscValidPointer(info,3);
6694   PetscValidPointer(fact,4);
6695   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6696   if (info->levels < 0) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_OUTOFRANGE,"Levels negative %D",(PetscInt) info->levels);
6697   if (info->fill < 1.0) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_OUTOFRANGE,"Expected fill less than 1.0 %g",(double)info->fill);
6698   if (!(fact)->ops->iccfactorsymbolic) {
6699     const MatSolverPackage spackage;
6700     ierr = MatFactorGetSolverPackage(fact,&spackage);CHKERRQ(ierr);
6701     SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Matrix type %s symbolic ICC using solver package %s",((PetscObject)mat)->type_name,spackage);
6702   }
6703   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6704   MatCheckPreallocated(mat,2);
6705 
6706   ierr = PetscLogEventBegin(MAT_ICCFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
6707   ierr = (fact->ops->iccfactorsymbolic)(fact,mat,perm,info);CHKERRQ(ierr);
6708   ierr = PetscLogEventEnd(MAT_ICCFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
6709   PetscFunctionReturn(0);
6710 }
6711 
6712 #undef __FUNCT__
6713 #define __FUNCT__ "MatGetSubMatrices"
6714 /*@C
6715    MatGetSubMatrices - Extracts several submatrices from a matrix. If submat
6716    points to an array of valid matrices, they may be reused to store the new
6717    submatrices.
6718 
6719    Collective on Mat
6720 
6721    Input Parameters:
6722 +  mat - the matrix
6723 .  n   - the number of submatrixes to be extracted (on this processor, may be zero)
6724 .  irow, icol - index sets of rows and columns to extract
6725 -  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
6726 
6727    Output Parameter:
6728 .  submat - the array of submatrices
6729 
6730    Notes:
6731    MatGetSubMatrices() can extract ONLY sequential submatrices
6732    (from both sequential and parallel matrices). Use MatGetSubMatrix()
6733    to extract a parallel submatrix.
6734 
6735    Some matrix types place restrictions on the row and column
6736    indices, such as that they be sorted or that they be equal to each other.
6737 
6738    The index sets may not have duplicate entries.
6739 
6740    When extracting submatrices from a parallel matrix, each processor can
6741    form a different submatrix by setting the rows and columns of its
6742    individual index sets according to the local submatrix desired.
6743 
6744    When finished using the submatrices, the user should destroy
6745    them with MatDestroyMatrices().
6746 
6747    MAT_REUSE_MATRIX can only be used when the nonzero structure of the
6748    original matrix has not changed from that last call to MatGetSubMatrices().
6749 
6750    This routine creates the matrices in submat; you should NOT create them before
6751    calling it. It also allocates the array of matrix pointers submat.
6752 
6753    For BAIJ matrices the index sets must respect the block structure, that is if they
6754    request one row/column in a block, they must request all rows/columns that are in
6755    that block. For example, if the block size is 2 you cannot request just row 0 and
6756    column 0.
6757 
6758    Fortran Note:
6759    The Fortran interface is slightly different from that given below; it
6760    requires one to pass in  as submat a Mat (integer) array of size at least m.
6761 
6762    Level: advanced
6763 
6764    Concepts: matrices^accessing submatrices
6765    Concepts: submatrices
6766 
6767 .seealso: MatDestroyMatrices(), MatGetSubMatrix(), MatGetRow(), MatGetDiagonal(), MatReuse
6768 @*/
6769 PetscErrorCode MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[])
6770 {
6771   PetscErrorCode ierr;
6772   PetscInt       i;
6773   PetscBool      eq;
6774 
6775   PetscFunctionBegin;
6776   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6777   PetscValidType(mat,1);
6778   if (n) {
6779     PetscValidPointer(irow,3);
6780     PetscValidHeaderSpecific(*irow,IS_CLASSID,3);
6781     PetscValidPointer(icol,4);
6782     PetscValidHeaderSpecific(*icol,IS_CLASSID,4);
6783   }
6784   PetscValidPointer(submat,6);
6785   if (n && scall == MAT_REUSE_MATRIX) {
6786     PetscValidPointer(*submat,6);
6787     PetscValidHeaderSpecific(**submat,MAT_CLASSID,6);
6788   }
6789   if (!mat->ops->getsubmatrices) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6790   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6791   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6792   MatCheckPreallocated(mat,1);
6793 
6794   ierr = PetscLogEventBegin(MAT_GetSubMatrices,mat,0,0,0);CHKERRQ(ierr);
6795   ierr = (*mat->ops->getsubmatrices)(mat,n,irow,icol,scall,submat);CHKERRQ(ierr);
6796   ierr = PetscLogEventEnd(MAT_GetSubMatrices,mat,0,0,0);CHKERRQ(ierr);
6797   for (i=0; i<n; i++) {
6798     (*submat)[i]->factortype = MAT_FACTOR_NONE;  /* in case in place factorization was previously done on submatrix */
6799     if (mat->symmetric || mat->structurally_symmetric || mat->hermitian) {
6800       ierr = ISEqual(irow[i],icol[i],&eq);CHKERRQ(ierr);
6801       if (eq) {
6802         if (mat->symmetric) {
6803           ierr = MatSetOption((*submat)[i],MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
6804         } else if (mat->hermitian) {
6805           ierr = MatSetOption((*submat)[i],MAT_HERMITIAN,PETSC_TRUE);CHKERRQ(ierr);
6806         } else if (mat->structurally_symmetric) {
6807           ierr = MatSetOption((*submat)[i],MAT_STRUCTURALLY_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
6808         }
6809       }
6810     }
6811   }
6812   PetscFunctionReturn(0);
6813 }
6814 
6815 #undef __FUNCT__
6816 #define __FUNCT__ "MatGetSubMatricesMPI"
6817 PetscErrorCode MatGetSubMatricesMPI(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[])
6818 {
6819   PetscErrorCode ierr;
6820   PetscInt       i;
6821   PetscBool      eq;
6822 
6823   PetscFunctionBegin;
6824   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6825   PetscValidType(mat,1);
6826   if (n) {
6827     PetscValidPointer(irow,3);
6828     PetscValidHeaderSpecific(*irow,IS_CLASSID,3);
6829     PetscValidPointer(icol,4);
6830     PetscValidHeaderSpecific(*icol,IS_CLASSID,4);
6831   }
6832   PetscValidPointer(submat,6);
6833   if (n && scall == MAT_REUSE_MATRIX) {
6834     PetscValidPointer(*submat,6);
6835     PetscValidHeaderSpecific(**submat,MAT_CLASSID,6);
6836   }
6837   if (!mat->ops->getsubmatricesmpi) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6838   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6839   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6840   MatCheckPreallocated(mat,1);
6841 
6842   ierr = PetscLogEventBegin(MAT_GetSubMatrices,mat,0,0,0);CHKERRQ(ierr);
6843   ierr = (*mat->ops->getsubmatricesmpi)(mat,n,irow,icol,scall,submat);CHKERRQ(ierr);
6844   ierr = PetscLogEventEnd(MAT_GetSubMatrices,mat,0,0,0);CHKERRQ(ierr);
6845   for (i=0; i<n; i++) {
6846     if (mat->symmetric || mat->structurally_symmetric || mat->hermitian) {
6847       ierr = ISEqual(irow[i],icol[i],&eq);CHKERRQ(ierr);
6848       if (eq) {
6849         if (mat->symmetric) {
6850           ierr = MatSetOption((*submat)[i],MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
6851         } else if (mat->hermitian) {
6852           ierr = MatSetOption((*submat)[i],MAT_HERMITIAN,PETSC_TRUE);CHKERRQ(ierr);
6853         } else if (mat->structurally_symmetric) {
6854           ierr = MatSetOption((*submat)[i],MAT_STRUCTURALLY_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
6855         }
6856       }
6857     }
6858   }
6859   PetscFunctionReturn(0);
6860 }
6861 
6862 #undef __FUNCT__
6863 #define __FUNCT__ "MatDestroyMatrices"
6864 /*@C
6865    MatDestroyMatrices - Destroys a set of matrices obtained with MatGetSubMatrices().
6866 
6867    Collective on Mat
6868 
6869    Input Parameters:
6870 +  n - the number of local matrices
6871 -  mat - the matrices (note that this is a pointer to the array of matrices, just to match the calling
6872                        sequence of MatGetSubMatrices())
6873 
6874    Level: advanced
6875 
6876     Notes: Frees not only the matrices, but also the array that contains the matrices
6877            In Fortran will not free the array.
6878 
6879 .seealso: MatGetSubMatrices()
6880 @*/
6881 PetscErrorCode MatDestroyMatrices(PetscInt n,Mat *mat[])
6882 {
6883   PetscErrorCode ierr;
6884   PetscInt       i;
6885 
6886   PetscFunctionBegin;
6887   if (!*mat) PetscFunctionReturn(0);
6888   if (n < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to destroy negative number of matrices %D",n);
6889   PetscValidPointer(mat,2);
6890   for (i=0; i<n; i++) {
6891     ierr = MatDestroy(&(*mat)[i]);CHKERRQ(ierr);
6892   }
6893   /* memory is allocated even if n = 0 */
6894   ierr = PetscFree(*mat);CHKERRQ(ierr);
6895   *mat = NULL;
6896   PetscFunctionReturn(0);
6897 }
6898 
6899 #undef __FUNCT__
6900 #define __FUNCT__ "MatGetSeqNonzeroStructure"
6901 /*@C
6902    MatGetSeqNonzeroStructure - Extracts the sequential nonzero structure from a matrix.
6903 
6904    Collective on Mat
6905 
6906    Input Parameters:
6907 .  mat - the matrix
6908 
6909    Output Parameter:
6910 .  matstruct - the sequential matrix with the nonzero structure of mat
6911 
6912   Level: intermediate
6913 
6914 .seealso: MatDestroySeqNonzeroStructure(), MatGetSubMatrices(), MatDestroyMatrices()
6915 @*/
6916 PetscErrorCode MatGetSeqNonzeroStructure(Mat mat,Mat *matstruct)
6917 {
6918   PetscErrorCode ierr;
6919 
6920   PetscFunctionBegin;
6921   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6922   PetscValidPointer(matstruct,2);
6923 
6924   PetscValidType(mat,1);
6925   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6926   MatCheckPreallocated(mat,1);
6927 
6928   if (!mat->ops->getseqnonzerostructure) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Not for matrix type %s\n",((PetscObject)mat)->type_name);
6929   ierr = PetscLogEventBegin(MAT_GetSeqNonzeroStructure,mat,0,0,0);CHKERRQ(ierr);
6930   ierr = (*mat->ops->getseqnonzerostructure)(mat,matstruct);CHKERRQ(ierr);
6931   ierr = PetscLogEventEnd(MAT_GetSeqNonzeroStructure,mat,0,0,0);CHKERRQ(ierr);
6932   PetscFunctionReturn(0);
6933 }
6934 
6935 #undef __FUNCT__
6936 #define __FUNCT__ "MatDestroySeqNonzeroStructure"
6937 /*@C
6938    MatDestroySeqNonzeroStructure - Destroys matrix obtained with MatGetSeqNonzeroStructure().
6939 
6940    Collective on Mat
6941 
6942    Input Parameters:
6943 .  mat - the matrix (note that this is a pointer to the array of matrices, just to match the calling
6944                        sequence of MatGetSequentialNonzeroStructure())
6945 
6946    Level: advanced
6947 
6948     Notes: Frees not only the matrices, but also the array that contains the matrices
6949 
6950 .seealso: MatGetSeqNonzeroStructure()
6951 @*/
6952 PetscErrorCode MatDestroySeqNonzeroStructure(Mat *mat)
6953 {
6954   PetscErrorCode ierr;
6955 
6956   PetscFunctionBegin;
6957   PetscValidPointer(mat,1);
6958   ierr = MatDestroy(mat);CHKERRQ(ierr);
6959   PetscFunctionReturn(0);
6960 }
6961 
6962 #undef __FUNCT__
6963 #define __FUNCT__ "MatIncreaseOverlap"
6964 /*@
6965    MatIncreaseOverlap - Given a set of submatrices indicated by index sets,
6966    replaces the index sets by larger ones that represent submatrices with
6967    additional overlap.
6968 
6969    Collective on Mat
6970 
6971    Input Parameters:
6972 +  mat - the matrix
6973 .  n   - the number of index sets
6974 .  is  - the array of index sets (these index sets will changed during the call)
6975 -  ov  - the additional overlap requested
6976 
6977    Options Database:
6978 .  -mat_increase_overlap_scalable - use a scalable algorithm to compute the overlap (supported by MPIAIJ matrix)
6979 
6980    Level: developer
6981 
6982    Concepts: overlap
6983    Concepts: ASM^computing overlap
6984 
6985 .seealso: MatGetSubMatrices()
6986 @*/
6987 PetscErrorCode MatIncreaseOverlap(Mat mat,PetscInt n,IS is[],PetscInt ov)
6988 {
6989   PetscErrorCode ierr;
6990 
6991   PetscFunctionBegin;
6992   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
6993   PetscValidType(mat,1);
6994   if (n < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Must have one or more domains, you have %D",n);
6995   if (n) {
6996     PetscValidPointer(is,3);
6997     PetscValidHeaderSpecific(*is,IS_CLASSID,3);
6998   }
6999   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7000   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7001   MatCheckPreallocated(mat,1);
7002 
7003   if (!ov) PetscFunctionReturn(0);
7004   if (!mat->ops->increaseoverlap) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
7005   ierr = PetscLogEventBegin(MAT_IncreaseOverlap,mat,0,0,0);CHKERRQ(ierr);
7006   ierr = (*mat->ops->increaseoverlap)(mat,n,is,ov);CHKERRQ(ierr);
7007   ierr = PetscLogEventEnd(MAT_IncreaseOverlap,mat,0,0,0);CHKERRQ(ierr);
7008   PetscFunctionReturn(0);
7009 }
7010 
7011 
7012 PetscErrorCode MatIncreaseOverlapSplit_Single(Mat,IS*,PetscInt);
7013 
7014 #undef __FUNCT__
7015 #define __FUNCT__ "MatIncreaseOverlapSplit"
7016 /*@
7017    MatIncreaseOverlapSplit - Given a set of submatrices indicated by index sets across
7018    a sub communicator, replaces the index sets by larger ones that represent submatrices with
7019    additional overlap.
7020 
7021    Collective on Mat
7022 
7023    Input Parameters:
7024 +  mat - the matrix
7025 .  n   - the number of index sets
7026 .  is  - the array of index sets (these index sets will changed during the call)
7027 -  ov  - the additional overlap requested
7028 
7029    Options Database:
7030 .  -mat_increase_overlap_scalable - use a scalable algorithm to compute the overlap (supported by MPIAIJ matrix)
7031 
7032    Level: developer
7033 
7034    Concepts: overlap
7035    Concepts: ASM^computing overlap
7036 
7037 .seealso: MatGetSubMatrices()
7038 @*/
7039 PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov)
7040 {
7041   PetscInt       i;
7042   PetscErrorCode ierr;
7043 
7044   PetscFunctionBegin;
7045   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7046   PetscValidType(mat,1);
7047   if (n < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Must have one or more domains, you have %D",n);
7048   if (n) {
7049     PetscValidPointer(is,3);
7050     PetscValidHeaderSpecific(*is,IS_CLASSID,3);
7051   }
7052   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7053   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7054   MatCheckPreallocated(mat,1);
7055   if (!ov) PetscFunctionReturn(0);
7056   ierr = PetscLogEventBegin(MAT_IncreaseOverlap,mat,0,0,0);CHKERRQ(ierr);
7057   for(i=0; i<n; i++){
7058 	ierr =  MatIncreaseOverlapSplit_Single(mat,&is[i],ov);CHKERRQ(ierr);
7059   }
7060   ierr = PetscLogEventEnd(MAT_IncreaseOverlap,mat,0,0,0);CHKERRQ(ierr);
7061   PetscFunctionReturn(0);
7062 }
7063 
7064 
7065 
7066 
7067 #undef __FUNCT__
7068 #define __FUNCT__ "MatGetBlockSize"
7069 /*@
7070    MatGetBlockSize - Returns the matrix block size.
7071 
7072    Not Collective
7073 
7074    Input Parameter:
7075 .  mat - the matrix
7076 
7077    Output Parameter:
7078 .  bs - block size
7079 
7080    Notes:
7081     Block row formats are MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ. These formats ALWAYS have square block storage in the matrix.
7082 
7083    If the block size has not been set yet this routine returns 1.
7084 
7085    Level: intermediate
7086 
7087    Concepts: matrices^block size
7088 
7089 .seealso: MatCreateSeqBAIJ(), MatCreateBAIJ(), MatGetBlockSizes()
7090 @*/
7091 PetscErrorCode MatGetBlockSize(Mat mat,PetscInt *bs)
7092 {
7093   PetscFunctionBegin;
7094   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7095   PetscValidIntPointer(bs,2);
7096   *bs = PetscAbs(mat->rmap->bs);
7097   PetscFunctionReturn(0);
7098 }
7099 
7100 #undef __FUNCT__
7101 #define __FUNCT__ "MatGetBlockSizes"
7102 /*@
7103    MatGetBlockSizes - Returns the matrix block row and column sizes.
7104 
7105    Not Collective
7106 
7107    Input Parameter:
7108 .  mat - the matrix
7109 
7110    Output Parameter:
7111 .  rbs - row block size
7112 .  cbs - coumn block size
7113 
7114    Notes:
7115     Block row formats are MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ. These formats ALWAYS have square block storage in the matrix.
7116     If you pass a different block size for the columns than the rows, the row block size determines the square block storage.
7117 
7118    If a block size has not been set yet this routine returns 1.
7119 
7120    Level: intermediate
7121 
7122    Concepts: matrices^block size
7123 
7124 .seealso: MatCreateSeqBAIJ(), MatCreateBAIJ(), MatGetBlockSize(), MatSetBlockSize(), MatSetBlockSizes()
7125 @*/
7126 PetscErrorCode MatGetBlockSizes(Mat mat,PetscInt *rbs, PetscInt *cbs)
7127 {
7128   PetscFunctionBegin;
7129   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7130   if (rbs) PetscValidIntPointer(rbs,2);
7131   if (cbs) PetscValidIntPointer(cbs,3);
7132   if (rbs) *rbs = PetscAbs(mat->rmap->bs);
7133   if (cbs) *cbs = PetscAbs(mat->cmap->bs);
7134   PetscFunctionReturn(0);
7135 }
7136 
7137 #undef __FUNCT__
7138 #define __FUNCT__ "MatSetBlockSize"
7139 /*@
7140    MatSetBlockSize - Sets the matrix block size.
7141 
7142    Logically Collective on Mat
7143 
7144    Input Parameters:
7145 +  mat - the matrix
7146 -  bs - block size
7147 
7148    Notes:
7149     Block row formats are MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ. These formats ALWAYS have square block storage in the matrix.
7150 
7151      This must be called before MatSetUp() or MatXXXSetPreallocation() (or will default to 1) and the block size cannot be changed later
7152 
7153    Level: intermediate
7154 
7155    Concepts: matrices^block size
7156 
7157 .seealso: MatCreateSeqBAIJ(), MatCreateBAIJ(), MatGetBlockSize(), MatSetBlockSizes(), MatGetBlockSizes()
7158 @*/
7159 PetscErrorCode MatSetBlockSize(Mat mat,PetscInt bs)
7160 {
7161   PetscErrorCode ierr;
7162 
7163   PetscFunctionBegin;
7164   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7165   PetscValidLogicalCollectiveInt(mat,bs,2);
7166   ierr = PetscLayoutSetBlockSize(mat->rmap,bs);CHKERRQ(ierr);
7167   ierr = PetscLayoutSetBlockSize(mat->cmap,bs);CHKERRQ(ierr);
7168   PetscFunctionReturn(0);
7169 }
7170 
7171 #undef __FUNCT__
7172 #define __FUNCT__ "MatSetBlockSizes"
7173 /*@
7174    MatSetBlockSizes - Sets the matrix block row and column sizes.
7175 
7176    Logically Collective on Mat
7177 
7178    Input Parameters:
7179 +  mat - the matrix
7180 -  rbs - row block size
7181 -  cbs - column block size
7182 
7183    Notes:
7184     Block row formats are MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ. These formats ALWAYS have square block storage in the matrix.
7185     If you pass a different block size for the columns than the rows, the row block size determines the square block storage.
7186 
7187     This must be called before MatSetUp() or MatXXXSetPreallocation() (or will default to 1) and the block size cannot be changed later
7188 
7189     The row and column block size determine the blocksize of the "row" and "column" vectors returned by MatCreateVecs().
7190 
7191    Level: intermediate
7192 
7193    Concepts: matrices^block size
7194 
7195 .seealso: MatCreateSeqBAIJ(), MatCreateBAIJ(), MatGetBlockSize(), MatSetBlockSize(), MatGetBlockSizes()
7196 @*/
7197 PetscErrorCode MatSetBlockSizes(Mat mat,PetscInt rbs,PetscInt cbs)
7198 {
7199   PetscErrorCode ierr;
7200 
7201   PetscFunctionBegin;
7202   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7203   PetscValidLogicalCollectiveInt(mat,rbs,2);
7204   PetscValidLogicalCollectiveInt(mat,cbs,3);
7205   ierr = PetscLayoutSetBlockSize(mat->rmap,rbs);CHKERRQ(ierr);
7206   ierr = PetscLayoutSetBlockSize(mat->cmap,cbs);CHKERRQ(ierr);
7207   PetscFunctionReturn(0);
7208 }
7209 
7210 #undef __FUNCT__
7211 #define __FUNCT__ "MatSetBlockSizesFromMats"
7212 /*@
7213    MatSetBlockSizesFromMats - Sets the matrix block row and column sizes to match a pair of matrices
7214 
7215    Logically Collective on Mat
7216 
7217    Input Parameters:
7218 +  mat - the matrix
7219 .  fromRow - matrix from which to copy row block size
7220 -  fromCol - matrix from which to copy column block size (can be same as fromRow)
7221 
7222    Level: developer
7223 
7224    Concepts: matrices^block size
7225 
7226 .seealso: MatCreateSeqBAIJ(), MatCreateBAIJ(), MatGetBlockSize(), MatSetBlockSizes()
7227 @*/
7228 PetscErrorCode MatSetBlockSizesFromMats(Mat mat,Mat fromRow,Mat fromCol)
7229 {
7230   PetscErrorCode ierr;
7231 
7232   PetscFunctionBegin;
7233   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7234   PetscValidHeaderSpecific(fromRow,MAT_CLASSID,2);
7235   PetscValidHeaderSpecific(fromCol,MAT_CLASSID,3);
7236   if (fromRow->rmap->bs > 0) {ierr = PetscLayoutSetBlockSize(mat->rmap,fromRow->rmap->bs);CHKERRQ(ierr);}
7237   if (fromCol->cmap->bs > 0) {ierr = PetscLayoutSetBlockSize(mat->cmap,fromCol->cmap->bs);CHKERRQ(ierr);}
7238   PetscFunctionReturn(0);
7239 }
7240 
7241 #undef __FUNCT__
7242 #define __FUNCT__ "MatResidual"
7243 /*@
7244    MatResidual - Default routine to calculate the residual.
7245 
7246    Collective on Mat and Vec
7247 
7248    Input Parameters:
7249 +  mat - the matrix
7250 .  b   - the right-hand-side
7251 -  x   - the approximate solution
7252 
7253    Output Parameter:
7254 .  r - location to store the residual
7255 
7256    Level: developer
7257 
7258 .keywords: MG, default, multigrid, residual
7259 
7260 .seealso: PCMGSetResidual()
7261 @*/
7262 PetscErrorCode MatResidual(Mat mat,Vec b,Vec x,Vec r)
7263 {
7264   PetscErrorCode ierr;
7265 
7266   PetscFunctionBegin;
7267   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7268   PetscValidHeaderSpecific(b,VEC_CLASSID,2);
7269   PetscValidHeaderSpecific(x,VEC_CLASSID,3);
7270   PetscValidHeaderSpecific(r,VEC_CLASSID,4);
7271   PetscValidType(mat,1);
7272   MatCheckPreallocated(mat,1);
7273   ierr  = PetscLogEventBegin(MAT_Residual,mat,0,0,0);CHKERRQ(ierr);
7274   if (!mat->ops->residual) {
7275     ierr = MatMult(mat,x,r);CHKERRQ(ierr);
7276     ierr = VecAYPX(r,-1.0,b);CHKERRQ(ierr);
7277   } else {
7278     ierr  = (*mat->ops->residual)(mat,b,x,r);CHKERRQ(ierr);
7279   }
7280   ierr  = PetscLogEventEnd(MAT_Residual,mat,0,0,0);CHKERRQ(ierr);
7281   PetscFunctionReturn(0);
7282 }
7283 
7284 #undef __FUNCT__
7285 #define __FUNCT__ "MatGetRowIJ"
7286 /*@C
7287     MatGetRowIJ - Returns the compressed row storage i and j indices for sequential matrices.
7288 
7289    Collective on Mat
7290 
7291     Input Parameters:
7292 +   mat - the matrix
7293 .   shift -  0 or 1 indicating we want the indices starting at 0 or 1
7294 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be   symmetrized
7295 -   inodecompressed - PETSC_TRUE or PETSC_FALSE  indicating if the nonzero structure of the
7296                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
7297                  always used.
7298 
7299     Output Parameters:
7300 +   n - number of rows in the (possibly compressed) matrix
7301 .   ia - the row pointers [of length n+1]
7302 .   ja - the column indices
7303 -   done - indicates if the routine actually worked and returned appropriate ia[] and ja[] arrays; callers
7304            are responsible for handling the case when done == PETSC_FALSE and ia and ja are not set
7305 
7306     Level: developer
7307 
7308     Notes: You CANNOT change any of the ia[] or ja[] values.
7309 
7310            Use MatRestoreRowIJ() when you are finished accessing the ia[] and ja[] values
7311 
7312     Fortran Node
7313 
7314            In Fortran use
7315 $           PetscInt ia(1), ja(1)
7316 $           PetscOffset iia, jja
7317 $      call MatGetRowIJ(mat,shift,symmetric,inodecompressed,n,ia,iia,ja,jja,done,ierr)
7318 $      Acess the ith and jth entries via ia(iia + i) and ja(jja + j)
7319 $
7320 $          or
7321 $
7322 $           PetscInt, pointer :: ia(:),ja(:)
7323 $    call  MatGetRowIJF90(mat,shift,symmetric,inodecompressed,n,ia,ja,done,ierr)
7324 $      Acess the ith and jth entries via ia(i) and ja(j)
7325 
7326 
7327 
7328 .seealso: MatGetColumnIJ(), MatRestoreRowIJ(), MatSeqAIJGetArray()
7329 @*/
7330 PetscErrorCode MatGetRowIJ(Mat mat,PetscInt shift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
7331 {
7332   PetscErrorCode ierr;
7333 
7334   PetscFunctionBegin;
7335   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7336   PetscValidType(mat,1);
7337   PetscValidIntPointer(n,4);
7338   if (ia) PetscValidIntPointer(ia,5);
7339   if (ja) PetscValidIntPointer(ja,6);
7340   PetscValidIntPointer(done,7);
7341   MatCheckPreallocated(mat,1);
7342   if (!mat->ops->getrowij) *done = PETSC_FALSE;
7343   else {
7344     *done = PETSC_TRUE;
7345     ierr  = PetscLogEventBegin(MAT_GetRowIJ,mat,0,0,0);CHKERRQ(ierr);
7346     ierr  = (*mat->ops->getrowij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
7347     ierr  = PetscLogEventEnd(MAT_GetRowIJ,mat,0,0,0);CHKERRQ(ierr);
7348   }
7349   PetscFunctionReturn(0);
7350 }
7351 
7352 #undef __FUNCT__
7353 #define __FUNCT__ "MatGetColumnIJ"
7354 /*@C
7355     MatGetColumnIJ - Returns the compressed column storage i and j indices for sequential matrices.
7356 
7357     Collective on Mat
7358 
7359     Input Parameters:
7360 +   mat - the matrix
7361 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
7362 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
7363                 symmetrized
7364 .   inodecompressed - PETSC_TRUE or PETSC_FALSE indicating if the nonzero structure of the
7365                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
7366                  always used.
7367 .   n - number of columns in the (possibly compressed) matrix
7368 .   ia - the column pointers
7369 -   ja - the row indices
7370 
7371     Output Parameters:
7372 .   done - PETSC_TRUE or PETSC_FALSE, indicating whether the values have been returned
7373 
7374     Note:
7375     This routine zeros out n, ia, and ja. This is to prevent accidental
7376     us of the array after it has been restored. If you pass NULL, it will
7377     not zero the pointers.  Use of ia or ja after MatRestoreColumnIJ() is invalid.
7378 
7379     Level: developer
7380 
7381 .seealso: MatGetRowIJ(), MatRestoreColumnIJ()
7382 @*/
7383 PetscErrorCode MatGetColumnIJ(Mat mat,PetscInt shift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
7384 {
7385   PetscErrorCode ierr;
7386 
7387   PetscFunctionBegin;
7388   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7389   PetscValidType(mat,1);
7390   PetscValidIntPointer(n,4);
7391   if (ia) PetscValidIntPointer(ia,5);
7392   if (ja) PetscValidIntPointer(ja,6);
7393   PetscValidIntPointer(done,7);
7394   MatCheckPreallocated(mat,1);
7395   if (!mat->ops->getcolumnij) *done = PETSC_FALSE;
7396   else {
7397     *done = PETSC_TRUE;
7398     ierr  = (*mat->ops->getcolumnij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
7399   }
7400   PetscFunctionReturn(0);
7401 }
7402 
7403 #undef __FUNCT__
7404 #define __FUNCT__ "MatRestoreRowIJ"
7405 /*@C
7406     MatRestoreRowIJ - Call after you are completed with the ia,ja indices obtained with
7407     MatGetRowIJ().
7408 
7409     Collective on Mat
7410 
7411     Input Parameters:
7412 +   mat - the matrix
7413 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
7414 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
7415                 symmetrized
7416 .   inodecompressed -  PETSC_TRUE or PETSC_FALSE indicating if the nonzero structure of the
7417                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
7418                  always used.
7419 .   n - size of (possibly compressed) matrix
7420 .   ia - the row pointers
7421 -   ja - the column indices
7422 
7423     Output Parameters:
7424 .   done - PETSC_TRUE or PETSC_FALSE indicated that the values have been returned
7425 
7426     Note:
7427     This routine zeros out n, ia, and ja. This is to prevent accidental
7428     us of the array after it has been restored. If you pass NULL, it will
7429     not zero the pointers.  Use of ia or ja after MatRestoreRowIJ() is invalid.
7430 
7431     Level: developer
7432 
7433 .seealso: MatGetRowIJ(), MatRestoreColumnIJ()
7434 @*/
7435 PetscErrorCode MatRestoreRowIJ(Mat mat,PetscInt shift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
7436 {
7437   PetscErrorCode ierr;
7438 
7439   PetscFunctionBegin;
7440   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7441   PetscValidType(mat,1);
7442   if (ia) PetscValidIntPointer(ia,5);
7443   if (ja) PetscValidIntPointer(ja,6);
7444   PetscValidIntPointer(done,7);
7445   MatCheckPreallocated(mat,1);
7446 
7447   if (!mat->ops->restorerowij) *done = PETSC_FALSE;
7448   else {
7449     *done = PETSC_TRUE;
7450     ierr  = (*mat->ops->restorerowij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
7451     if (n)  *n = 0;
7452     if (ia) *ia = NULL;
7453     if (ja) *ja = NULL;
7454   }
7455   PetscFunctionReturn(0);
7456 }
7457 
7458 #undef __FUNCT__
7459 #define __FUNCT__ "MatRestoreColumnIJ"
7460 /*@C
7461     MatRestoreColumnIJ - Call after you are completed with the ia,ja indices obtained with
7462     MatGetColumnIJ().
7463 
7464     Collective on Mat
7465 
7466     Input Parameters:
7467 +   mat - the matrix
7468 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
7469 -   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
7470                 symmetrized
7471 -   inodecompressed - PETSC_TRUE or PETSC_FALSE indicating if the nonzero structure of the
7472                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
7473                  always used.
7474 
7475     Output Parameters:
7476 +   n - size of (possibly compressed) matrix
7477 .   ia - the column pointers
7478 .   ja - the row indices
7479 -   done - PETSC_TRUE or PETSC_FALSE indicated that the values have been returned
7480 
7481     Level: developer
7482 
7483 .seealso: MatGetColumnIJ(), MatRestoreRowIJ()
7484 @*/
7485 PetscErrorCode MatRestoreColumnIJ(Mat mat,PetscInt shift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
7486 {
7487   PetscErrorCode ierr;
7488 
7489   PetscFunctionBegin;
7490   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7491   PetscValidType(mat,1);
7492   if (ia) PetscValidIntPointer(ia,5);
7493   if (ja) PetscValidIntPointer(ja,6);
7494   PetscValidIntPointer(done,7);
7495   MatCheckPreallocated(mat,1);
7496 
7497   if (!mat->ops->restorecolumnij) *done = PETSC_FALSE;
7498   else {
7499     *done = PETSC_TRUE;
7500     ierr  = (*mat->ops->restorecolumnij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
7501     if (n)  *n = 0;
7502     if (ia) *ia = NULL;
7503     if (ja) *ja = NULL;
7504   }
7505   PetscFunctionReturn(0);
7506 }
7507 
7508 #undef __FUNCT__
7509 #define __FUNCT__ "MatColoringPatch"
7510 /*@C
7511     MatColoringPatch -Used inside matrix coloring routines that
7512     use MatGetRowIJ() and/or MatGetColumnIJ().
7513 
7514     Collective on Mat
7515 
7516     Input Parameters:
7517 +   mat - the matrix
7518 .   ncolors - max color value
7519 .   n   - number of entries in colorarray
7520 -   colorarray - array indicating color for each column
7521 
7522     Output Parameters:
7523 .   iscoloring - coloring generated using colorarray information
7524 
7525     Level: developer
7526 
7527 .seealso: MatGetRowIJ(), MatGetColumnIJ()
7528 
7529 @*/
7530 PetscErrorCode MatColoringPatch(Mat mat,PetscInt ncolors,PetscInt n,ISColoringValue colorarray[],ISColoring *iscoloring)
7531 {
7532   PetscErrorCode ierr;
7533 
7534   PetscFunctionBegin;
7535   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7536   PetscValidType(mat,1);
7537   PetscValidIntPointer(colorarray,4);
7538   PetscValidPointer(iscoloring,5);
7539   MatCheckPreallocated(mat,1);
7540 
7541   if (!mat->ops->coloringpatch) {
7542     ierr = ISColoringCreate(PetscObjectComm((PetscObject)mat),ncolors,n,colorarray,PETSC_OWN_POINTER,iscoloring);CHKERRQ(ierr);
7543   } else {
7544     ierr = (*mat->ops->coloringpatch)(mat,ncolors,n,colorarray,iscoloring);CHKERRQ(ierr);
7545   }
7546   PetscFunctionReturn(0);
7547 }
7548 
7549 
7550 #undef __FUNCT__
7551 #define __FUNCT__ "MatSetUnfactored"
7552 /*@
7553    MatSetUnfactored - Resets a factored matrix to be treated as unfactored.
7554 
7555    Logically Collective on Mat
7556 
7557    Input Parameter:
7558 .  mat - the factored matrix to be reset
7559 
7560    Notes:
7561    This routine should be used only with factored matrices formed by in-place
7562    factorization via ILU(0) (or by in-place LU factorization for the MATSEQDENSE
7563    format).  This option can save memory, for example, when solving nonlinear
7564    systems with a matrix-free Newton-Krylov method and a matrix-based, in-place
7565    ILU(0) preconditioner.
7566 
7567    Note that one can specify in-place ILU(0) factorization by calling
7568 .vb
7569      PCType(pc,PCILU);
7570      PCFactorSeUseInPlace(pc);
7571 .ve
7572    or by using the options -pc_type ilu -pc_factor_in_place
7573 
7574    In-place factorization ILU(0) can also be used as a local
7575    solver for the blocks within the block Jacobi or additive Schwarz
7576    methods (runtime option: -sub_pc_factor_in_place).  See Users-Manual: ch_pc
7577    for details on setting local solver options.
7578 
7579    Most users should employ the simplified KSP interface for linear solvers
7580    instead of working directly with matrix algebra routines such as this.
7581    See, e.g., KSPCreate().
7582 
7583    Level: developer
7584 
7585 .seealso: PCFactorSetUseInPlace(), PCFactorGetUseInPlace()
7586 
7587    Concepts: matrices^unfactored
7588 
7589 @*/
7590 PetscErrorCode MatSetUnfactored(Mat mat)
7591 {
7592   PetscErrorCode ierr;
7593 
7594   PetscFunctionBegin;
7595   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7596   PetscValidType(mat,1);
7597   MatCheckPreallocated(mat,1);
7598   mat->factortype = MAT_FACTOR_NONE;
7599   if (!mat->ops->setunfactored) PetscFunctionReturn(0);
7600   ierr = (*mat->ops->setunfactored)(mat);CHKERRQ(ierr);
7601   PetscFunctionReturn(0);
7602 }
7603 
7604 /*MC
7605     MatDenseGetArrayF90 - Accesses a matrix array from Fortran90.
7606 
7607     Synopsis:
7608     MatDenseGetArrayF90(Mat x,{Scalar, pointer :: xx_v(:,:)},integer ierr)
7609 
7610     Not collective
7611 
7612     Input Parameter:
7613 .   x - matrix
7614 
7615     Output Parameters:
7616 +   xx_v - the Fortran90 pointer to the array
7617 -   ierr - error code
7618 
7619     Example of Usage:
7620 .vb
7621       PetscScalar, pointer xx_v(:,:)
7622       ....
7623       call MatDenseGetArrayF90(x,xx_v,ierr)
7624       a = xx_v(3)
7625       call MatDenseRestoreArrayF90(x,xx_v,ierr)
7626 .ve
7627 
7628     Level: advanced
7629 
7630 .seealso:  MatDenseRestoreArrayF90(), MatDenseGetArray(), MatDenseRestoreArray(), MatSeqAIJGetArrayF90()
7631 
7632     Concepts: matrices^accessing array
7633 
7634 M*/
7635 
7636 /*MC
7637     MatDenseRestoreArrayF90 - Restores a matrix array that has been
7638     accessed with MatDenseGetArrayF90().
7639 
7640     Synopsis:
7641     MatDenseRestoreArrayF90(Mat x,{Scalar, pointer :: xx_v(:,:)},integer ierr)
7642 
7643     Not collective
7644 
7645     Input Parameters:
7646 +   x - matrix
7647 -   xx_v - the Fortran90 pointer to the array
7648 
7649     Output Parameter:
7650 .   ierr - error code
7651 
7652     Example of Usage:
7653 .vb
7654        PetscScalar, pointer xx_v(:,:)
7655        ....
7656        call MatDenseGetArrayF90(x,xx_v,ierr)
7657        a = xx_v(3)
7658        call MatDenseRestoreArrayF90(x,xx_v,ierr)
7659 .ve
7660 
7661     Level: advanced
7662 
7663 .seealso:  MatDenseGetArrayF90(), MatDenseGetArray(), MatDenseRestoreArray(), MatSeqAIJRestoreArrayF90()
7664 
7665 M*/
7666 
7667 
7668 /*MC
7669     MatSeqAIJGetArrayF90 - Accesses a matrix array from Fortran90.
7670 
7671     Synopsis:
7672     MatSeqAIJGetArrayF90(Mat x,{Scalar, pointer :: xx_v(:)},integer ierr)
7673 
7674     Not collective
7675 
7676     Input Parameter:
7677 .   x - matrix
7678 
7679     Output Parameters:
7680 +   xx_v - the Fortran90 pointer to the array
7681 -   ierr - error code
7682 
7683     Example of Usage:
7684 .vb
7685       PetscScalar, pointer xx_v(:)
7686       ....
7687       call MatSeqAIJGetArrayF90(x,xx_v,ierr)
7688       a = xx_v(3)
7689       call MatSeqAIJRestoreArrayF90(x,xx_v,ierr)
7690 .ve
7691 
7692     Level: advanced
7693 
7694 .seealso:  MatSeqAIJRestoreArrayF90(), MatSeqAIJGetArray(), MatSeqAIJRestoreArray(), MatDenseGetArrayF90()
7695 
7696     Concepts: matrices^accessing array
7697 
7698 M*/
7699 
7700 /*MC
7701     MatSeqAIJRestoreArrayF90 - Restores a matrix array that has been
7702     accessed with MatSeqAIJGetArrayF90().
7703 
7704     Synopsis:
7705     MatSeqAIJRestoreArrayF90(Mat x,{Scalar, pointer :: xx_v(:)},integer ierr)
7706 
7707     Not collective
7708 
7709     Input Parameters:
7710 +   x - matrix
7711 -   xx_v - the Fortran90 pointer to the array
7712 
7713     Output Parameter:
7714 .   ierr - error code
7715 
7716     Example of Usage:
7717 .vb
7718        PetscScalar, pointer xx_v(:)
7719        ....
7720        call MatSeqAIJGetArrayF90(x,xx_v,ierr)
7721        a = xx_v(3)
7722        call MatSeqAIJRestoreArrayF90(x,xx_v,ierr)
7723 .ve
7724 
7725     Level: advanced
7726 
7727 .seealso:  MatSeqAIJGetArrayF90(), MatSeqAIJGetArray(), MatSeqAIJRestoreArray(), MatDenseRestoreArrayF90()
7728 
7729 M*/
7730 
7731 
7732 #undef __FUNCT__
7733 #define __FUNCT__ "MatGetSubMatrix"
7734 /*@
7735     MatGetSubMatrix - Gets a single submatrix on the same number of processors
7736                       as the original matrix.
7737 
7738     Collective on Mat
7739 
7740     Input Parameters:
7741 +   mat - the original matrix
7742 .   isrow - parallel IS containing the rows this processor should obtain
7743 .   iscol - parallel IS containing all columns you wish to keep. Each process should list the columns that will be in IT's "diagonal part" in the new matrix.
7744 -   cll - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7745 
7746     Output Parameter:
7747 .   newmat - the new submatrix, of the same type as the old
7748 
7749     Level: advanced
7750 
7751     Notes:
7752     The submatrix will be able to be multiplied with vectors using the same layout as iscol.
7753 
7754     Some matrix types place restrictions on the row and column indices, such
7755     as that they be sorted or that they be equal to each other.
7756 
7757     The index sets may not have duplicate entries.
7758 
7759       The first time this is called you should use a cll of MAT_INITIAL_MATRIX,
7760    the MatGetSubMatrix() routine will create the newmat for you. Any additional calls
7761    to this routine with a mat of the same nonzero structure and with a call of MAT_REUSE_MATRIX
7762    will reuse the matrix generated the first time.  You should call MatDestroy() on newmat when
7763    you are finished using it.
7764 
7765     The communicator of the newly obtained matrix is ALWAYS the same as the communicator of
7766     the input matrix.
7767 
7768     If iscol is NULL then all columns are obtained (not supported in Fortran).
7769 
7770    Example usage:
7771    Consider the following 8x8 matrix with 34 non-zero values, that is
7772    assembled across 3 processors. Let's assume that proc0 owns 3 rows,
7773    proc1 owns 3 rows, proc2 owns 2 rows. This division can be shown
7774    as follows:
7775 
7776 .vb
7777             1  2  0  |  0  3  0  |  0  4
7778     Proc0   0  5  6  |  7  0  0  |  8  0
7779             9  0 10  | 11  0  0  | 12  0
7780     -------------------------------------
7781            13  0 14  | 15 16 17  |  0  0
7782     Proc1   0 18  0  | 19 20 21  |  0  0
7783             0  0  0  | 22 23  0  | 24  0
7784     -------------------------------------
7785     Proc2  25 26 27  |  0  0 28  | 29  0
7786            30  0  0  | 31 32 33  |  0 34
7787 .ve
7788 
7789     Suppose isrow = [0 1 | 4 | 6 7] and iscol = [1 2 | 3 4 5 | 6].  The resulting submatrix is
7790 
7791 .vb
7792             2  0  |  0  3  0  |  0
7793     Proc0   5  6  |  7  0  0  |  8
7794     -------------------------------
7795     Proc1  18  0  | 19 20 21  |  0
7796     -------------------------------
7797     Proc2  26 27  |  0  0 28  | 29
7798             0  0  | 31 32 33  |  0
7799 .ve
7800 
7801 
7802     Concepts: matrices^submatrices
7803 
7804 .seealso: MatGetSubMatrices()
7805 @*/
7806 PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat)
7807 {
7808   PetscErrorCode ierr;
7809   PetscMPIInt    size;
7810   Mat            *local;
7811   IS             iscoltmp;
7812 
7813   PetscFunctionBegin;
7814   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7815   PetscValidHeaderSpecific(isrow,IS_CLASSID,2);
7816   if (iscol) PetscValidHeaderSpecific(iscol,IS_CLASSID,3);
7817   PetscValidPointer(newmat,5);
7818   if (cll == MAT_REUSE_MATRIX) PetscValidHeaderSpecific(*newmat,MAT_CLASSID,5);
7819   PetscValidType(mat,1);
7820   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7821   if (cll == MAT_IGNORE_MATRIX) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Cannot use MAT_IGNORE_MATRIX");
7822 
7823   MatCheckPreallocated(mat,1);
7824   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)mat),&size);CHKERRQ(ierr);
7825 
7826   if (!iscol || isrow == iscol) {
7827     PetscBool   stride;
7828     PetscMPIInt grabentirematrix = 0,grab;
7829     ierr = PetscObjectTypeCompare((PetscObject)isrow,ISSTRIDE,&stride);CHKERRQ(ierr);
7830     if (stride) {
7831       PetscInt first,step,n,rstart,rend;
7832       ierr = ISStrideGetInfo(isrow,&first,&step);CHKERRQ(ierr);
7833       if (step == 1) {
7834         ierr = MatGetOwnershipRange(mat,&rstart,&rend);CHKERRQ(ierr);
7835         if (rstart == first) {
7836           ierr = ISGetLocalSize(isrow,&n);CHKERRQ(ierr);
7837           if (n == rend-rstart) {
7838             grabentirematrix = 1;
7839           }
7840         }
7841       }
7842     }
7843     ierr = MPIU_Allreduce(&grabentirematrix,&grab,1,MPI_INT,MPI_MIN,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
7844     if (grab) {
7845       ierr = PetscInfo(mat,"Getting entire matrix as submatrix\n");CHKERRQ(ierr);
7846       if (cll == MAT_INITIAL_MATRIX) {
7847         *newmat = mat;
7848         ierr    = PetscObjectReference((PetscObject)mat);CHKERRQ(ierr);
7849       }
7850       PetscFunctionReturn(0);
7851     }
7852   }
7853 
7854   if (!iscol) {
7855     ierr = ISCreateStride(PetscObjectComm((PetscObject)mat),mat->cmap->n,mat->cmap->rstart,1,&iscoltmp);CHKERRQ(ierr);
7856   } else {
7857     iscoltmp = iscol;
7858   }
7859 
7860   /* if original matrix is on just one processor then use submatrix generated */
7861   if (mat->ops->getsubmatrices && !mat->ops->getsubmatrix && size == 1 && cll == MAT_REUSE_MATRIX) {
7862     ierr = MatGetSubMatrices(mat,1,&isrow,&iscoltmp,MAT_REUSE_MATRIX,&newmat);CHKERRQ(ierr);
7863     if (!iscol) {ierr = ISDestroy(&iscoltmp);CHKERRQ(ierr);}
7864     PetscFunctionReturn(0);
7865   } else if (mat->ops->getsubmatrices && !mat->ops->getsubmatrix && size == 1) {
7866     ierr    = MatGetSubMatrices(mat,1,&isrow,&iscoltmp,MAT_INITIAL_MATRIX,&local);CHKERRQ(ierr);
7867     *newmat = *local;
7868     ierr    = PetscFree(local);CHKERRQ(ierr);
7869     if (!iscol) {ierr = ISDestroy(&iscoltmp);CHKERRQ(ierr);}
7870     PetscFunctionReturn(0);
7871   } else if (!mat->ops->getsubmatrix) {
7872     /* Create a new matrix type that implements the operation using the full matrix */
7873     ierr = PetscLogEventBegin(MAT_GetSubMatrix,mat,0,0,0);CHKERRQ(ierr);
7874     switch (cll) {
7875     case MAT_INITIAL_MATRIX:
7876       ierr = MatCreateSubMatrix(mat,isrow,iscoltmp,newmat);CHKERRQ(ierr);
7877       break;
7878     case MAT_REUSE_MATRIX:
7879       ierr = MatSubMatrixUpdate(*newmat,mat,isrow,iscoltmp);CHKERRQ(ierr);
7880       break;
7881     default: SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_OUTOFRANGE,"Invalid MatReuse, must be either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX");
7882     }
7883     ierr = PetscLogEventEnd(MAT_GetSubMatrix,mat,0,0,0);CHKERRQ(ierr);
7884     if (!iscol) {ierr = ISDestroy(&iscoltmp);CHKERRQ(ierr);}
7885     PetscFunctionReturn(0);
7886   }
7887 
7888   if (!mat->ops->getsubmatrix) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
7889   ierr = PetscLogEventBegin(MAT_GetSubMatrix,mat,0,0,0);CHKERRQ(ierr);
7890   ierr = (*mat->ops->getsubmatrix)(mat,isrow,iscoltmp,cll,newmat);CHKERRQ(ierr);
7891   ierr = PetscLogEventEnd(MAT_GetSubMatrix,mat,0,0,0);CHKERRQ(ierr);
7892   if (!iscol) {ierr = ISDestroy(&iscoltmp);CHKERRQ(ierr);}
7893   if (*newmat && cll == MAT_INITIAL_MATRIX) {ierr = PetscObjectStateIncrease((PetscObject)*newmat);CHKERRQ(ierr);}
7894   PetscFunctionReturn(0);
7895 }
7896 
7897 #undef __FUNCT__
7898 #define __FUNCT__ "MatStashSetInitialSize"
7899 /*@
7900    MatStashSetInitialSize - sets the sizes of the matrix stash, that is
7901    used during the assembly process to store values that belong to
7902    other processors.
7903 
7904    Not Collective
7905 
7906    Input Parameters:
7907 +  mat   - the matrix
7908 .  size  - the initial size of the stash.
7909 -  bsize - the initial size of the block-stash(if used).
7910 
7911    Options Database Keys:
7912 +   -matstash_initial_size <size> or <size0,size1,...sizep-1>
7913 -   -matstash_block_initial_size <bsize>  or <bsize0,bsize1,...bsizep-1>
7914 
7915    Level: intermediate
7916 
7917    Notes:
7918      The block-stash is used for values set with MatSetValuesBlocked() while
7919      the stash is used for values set with MatSetValues()
7920 
7921      Run with the option -info and look for output of the form
7922      MatAssemblyBegin_MPIXXX:Stash has MM entries, uses nn mallocs.
7923      to determine the appropriate value, MM, to use for size and
7924      MatAssemblyBegin_MPIXXX:Block-Stash has BMM entries, uses nn mallocs.
7925      to determine the value, BMM to use for bsize
7926 
7927    Concepts: stash^setting matrix size
7928    Concepts: matrices^stash
7929 
7930 .seealso: MatAssemblyBegin(), MatAssemblyEnd(), Mat, MatStashGetInfo()
7931 
7932 @*/
7933 PetscErrorCode MatStashSetInitialSize(Mat mat,PetscInt size, PetscInt bsize)
7934 {
7935   PetscErrorCode ierr;
7936 
7937   PetscFunctionBegin;
7938   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
7939   PetscValidType(mat,1);
7940   ierr = MatStashSetInitialSize_Private(&mat->stash,size);CHKERRQ(ierr);
7941   ierr = MatStashSetInitialSize_Private(&mat->bstash,bsize);CHKERRQ(ierr);
7942   PetscFunctionReturn(0);
7943 }
7944 
7945 #undef __FUNCT__
7946 #define __FUNCT__ "MatInterpolateAdd"
7947 /*@
7948    MatInterpolateAdd - w = y + A*x or A'*x depending on the shape of
7949      the matrix
7950 
7951    Neighbor-wise Collective on Mat
7952 
7953    Input Parameters:
7954 +  mat   - the matrix
7955 .  x,y - the vectors
7956 -  w - where the result is stored
7957 
7958    Level: intermediate
7959 
7960    Notes:
7961     w may be the same vector as y.
7962 
7963     This allows one to use either the restriction or interpolation (its transpose)
7964     matrix to do the interpolation
7965 
7966     Concepts: interpolation
7967 
7968 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatRestrict()
7969 
7970 @*/
7971 PetscErrorCode MatInterpolateAdd(Mat A,Vec x,Vec y,Vec w)
7972 {
7973   PetscErrorCode ierr;
7974   PetscInt       M,N,Ny;
7975 
7976   PetscFunctionBegin;
7977   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
7978   PetscValidHeaderSpecific(x,VEC_CLASSID,2);
7979   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
7980   PetscValidHeaderSpecific(w,VEC_CLASSID,4);
7981   PetscValidType(A,1);
7982   MatCheckPreallocated(A,1);
7983   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
7984   ierr = VecGetSize(y,&Ny);CHKERRQ(ierr);
7985   if (M == Ny) {
7986     ierr = MatMultAdd(A,x,y,w);CHKERRQ(ierr);
7987   } else {
7988     ierr = MatMultTransposeAdd(A,x,y,w);CHKERRQ(ierr);
7989   }
7990   PetscFunctionReturn(0);
7991 }
7992 
7993 #undef __FUNCT__
7994 #define __FUNCT__ "MatInterpolate"
7995 /*@
7996    MatInterpolate - y = A*x or A'*x depending on the shape of
7997      the matrix
7998 
7999    Neighbor-wise Collective on Mat
8000 
8001    Input Parameters:
8002 +  mat   - the matrix
8003 -  x,y - the vectors
8004 
8005    Level: intermediate
8006 
8007    Notes:
8008     This allows one to use either the restriction or interpolation (its transpose)
8009     matrix to do the interpolation
8010 
8011    Concepts: matrices^interpolation
8012 
8013 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatRestrict()
8014 
8015 @*/
8016 PetscErrorCode MatInterpolate(Mat A,Vec x,Vec y)
8017 {
8018   PetscErrorCode ierr;
8019   PetscInt       M,N,Ny;
8020 
8021   PetscFunctionBegin;
8022   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
8023   PetscValidHeaderSpecific(x,VEC_CLASSID,2);
8024   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
8025   PetscValidType(A,1);
8026   MatCheckPreallocated(A,1);
8027   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
8028   ierr = VecGetSize(y,&Ny);CHKERRQ(ierr);
8029   if (M == Ny) {
8030     ierr = MatMult(A,x,y);CHKERRQ(ierr);
8031   } else {
8032     ierr = MatMultTranspose(A,x,y);CHKERRQ(ierr);
8033   }
8034   PetscFunctionReturn(0);
8035 }
8036 
8037 #undef __FUNCT__
8038 #define __FUNCT__ "MatRestrict"
8039 /*@
8040    MatRestrict - y = A*x or A'*x
8041 
8042    Neighbor-wise Collective on Mat
8043 
8044    Input Parameters:
8045 +  mat   - the matrix
8046 -  x,y - the vectors
8047 
8048    Level: intermediate
8049 
8050    Notes:
8051     This allows one to use either the restriction or interpolation (its transpose)
8052     matrix to do the restriction
8053 
8054    Concepts: matrices^restriction
8055 
8056 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatInterpolate()
8057 
8058 @*/
8059 PetscErrorCode MatRestrict(Mat A,Vec x,Vec y)
8060 {
8061   PetscErrorCode ierr;
8062   PetscInt       M,N,Ny;
8063 
8064   PetscFunctionBegin;
8065   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
8066   PetscValidHeaderSpecific(x,VEC_CLASSID,2);
8067   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
8068   PetscValidType(A,1);
8069   MatCheckPreallocated(A,1);
8070 
8071   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
8072   ierr = VecGetSize(y,&Ny);CHKERRQ(ierr);
8073   if (M == Ny) {
8074     ierr = MatMult(A,x,y);CHKERRQ(ierr);
8075   } else {
8076     ierr = MatMultTranspose(A,x,y);CHKERRQ(ierr);
8077   }
8078   PetscFunctionReturn(0);
8079 }
8080 
8081 #undef __FUNCT__
8082 #define __FUNCT__ "MatGetNullSpace"
8083 /*@
8084    MatGetNullSpace - retrieves the null space to a matrix.
8085 
8086    Logically Collective on Mat and MatNullSpace
8087 
8088    Input Parameters:
8089 +  mat - the matrix
8090 -  nullsp - the null space object
8091 
8092    Level: developer
8093 
8094    Concepts: null space^attaching to matrix
8095 
8096 .seealso: MatCreate(), MatNullSpaceCreate(), MatSetNearNullSpace(), MatSetNullSpace()
8097 @*/
8098 PetscErrorCode MatGetNullSpace(Mat mat, MatNullSpace *nullsp)
8099 {
8100   PetscFunctionBegin;
8101   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
8102   PetscValidType(mat,1);
8103   PetscValidPointer(nullsp,2);
8104   *nullsp = mat->nullsp;
8105   PetscFunctionReturn(0);
8106 }
8107 
8108 #undef __FUNCT__
8109 #define __FUNCT__ "MatSetNullSpace"
8110 /*@
8111    MatSetNullSpace - attaches a null space to a matrix.
8112 
8113    Logically Collective on Mat and MatNullSpace
8114 
8115    Input Parameters:
8116 +  mat - the matrix
8117 -  nullsp - the null space object
8118 
8119    Level: advanced
8120 
8121    Notes:
8122       This null space is used by the linear solvers. Overwrites any previous null space that may have been attached
8123 
8124       For inconsistent singular systems (linear systems where the right hand side is not in the range of the operator) you also likely should
8125       call MatSetTransposeNullSpace(). This allows the linear system to be solved in a least squares sense.
8126 
8127       You can remove the null space by calling this routine with an nullsp of NULL
8128 
8129 
8130       The fundamental theorem of linear algebra (Gilbert Strang, Introduction to Applied Mathematics, page 72) states that
8131    the domain of a matrix A (from R^n to R^m (m rows, n columns) R^n = the direct sum of the null space of A, n(A), + the range of A^T, R(A^T).
8132    Similarly R^m = direct sum n(A^T) + R(A).  Hence the linear system A x = b has a solution only if b in R(A) (or correspondingly b is orthogonal to
8133    n(A^T)) and if x is a solution then x + alpha n(A) is a solution for any alpha. The minimum norm solution is orthogonal to n(A). For problems without a solution
8134    the solution that minimizes the norm of the residual (the least squares solution) can be obtained by solving A x = \hat{b} where \hat{b} is b orthogonalized to the n(A^T).
8135 
8136       Krylov solvers can produce the minimal norm solution to the least squares problem by utilizing MatNullSpaceRemove().
8137 
8138    Concepts: null space^attaching to matrix
8139 
8140 .seealso: MatCreate(), MatNullSpaceCreate(), MatSetNearNullSpace(), MatGetNullSpace(), MatSetTransposeNullSpace(), MatGetTransposeNullSpace(), MatNullSpaceRemove()
8141 @*/
8142 PetscErrorCode MatSetNullSpace(Mat mat,MatNullSpace nullsp)
8143 {
8144   PetscErrorCode ierr;
8145 
8146   PetscFunctionBegin;
8147   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
8148   PetscValidType(mat,1);
8149   if (nullsp) PetscValidHeaderSpecific(nullsp,MAT_NULLSPACE_CLASSID,2);
8150   MatCheckPreallocated(mat,1);
8151   if (nullsp) {ierr = PetscObjectReference((PetscObject)nullsp);CHKERRQ(ierr);}
8152   ierr = MatNullSpaceDestroy(&mat->nullsp);CHKERRQ(ierr);
8153   mat->nullsp = nullsp;
8154   PetscFunctionReturn(0);
8155 }
8156 
8157 #undef __FUNCT__
8158 #define __FUNCT__ "MatGetTransposeNullSpace"
8159 /*@
8160    MatGetTransposeNullSpace - retrieves the null space of the transpose of a matrix.
8161 
8162    Logically Collective on Mat and MatNullSpace
8163 
8164    Input Parameters:
8165 +  mat - the matrix
8166 -  nullsp - the null space object
8167 
8168    Level: developer
8169 
8170    Concepts: null space^attaching to matrix
8171 
8172 .seealso: MatCreate(), MatNullSpaceCreate(), MatSetNearNullSpace(), MatSetTransposeNullSpace(), MatSetNullSpace(), MatGetNullSpace()
8173 @*/
8174 PetscErrorCode MatGetTransposeNullSpace(Mat mat, MatNullSpace *nullsp)
8175 {
8176   PetscFunctionBegin;
8177   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
8178   PetscValidType(mat,1);
8179   PetscValidPointer(nullsp,2);
8180   *nullsp = mat->transnullsp;
8181   PetscFunctionReturn(0);
8182 }
8183 
8184 #undef __FUNCT__
8185 #define __FUNCT__ "MatSetTransposeNullSpace"
8186 /*@
8187    MatSetTransposeNullSpace - attaches a null space to a matrix.
8188 
8189    Logically Collective on Mat and MatNullSpace
8190 
8191    Input Parameters:
8192 +  mat - the matrix
8193 -  nullsp - the null space object
8194 
8195    Level: advanced
8196 
8197    Notes:
8198       For inconsistent singular systems (linear systems where the right hand side is not in the range of the operator) this allows the linear system to be solved in a least squares sense.
8199       You must also call MatSetNullSpace()
8200 
8201 
8202       The fundamental theorem of linear algebra (Gilbert Strang, Introduction to Applied Mathematics, page 72) states that
8203    the domain of a matrix A (from R^n to R^m (m rows, n columns) R^n = the direct sum of the null space of A, n(A), + the range of A^T, R(A^T).
8204    Similarly R^m = direct sum n(A^T) + R(A).  Hence the linear system A x = b has a solution only if b in R(A) (or correspondingly b is orthogonal to
8205    n(A^T)) and if x is a solution then x + alpha n(A) is a solution for any alpha. The minimum norm solution is orthogonal to n(A). For problems without a solution
8206    the solution that minimizes the norm of the residual (the least squares solution) can be obtained by solving A x = \hat{b} where \hat{b} is b orthogonalized to the n(A^T).
8207 
8208       Krylov solvers can produce the minimal norm solution to the least squares problem by utilizing MatNullSpaceRemove().
8209 
8210    Concepts: null space^attaching to matrix
8211 
8212 .seealso: MatCreate(), MatNullSpaceCreate(), MatSetNearNullSpace(), MatGetNullSpace(), MatSetNullSpace(), MatGetTransposeNullSpace(), MatNullSpaceRemove()
8213 @*/
8214 PetscErrorCode MatSetTransposeNullSpace(Mat mat,MatNullSpace nullsp)
8215 {
8216   PetscErrorCode ierr;
8217 
8218   PetscFunctionBegin;
8219   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
8220   PetscValidType(mat,1);
8221   PetscValidHeaderSpecific(nullsp,MAT_NULLSPACE_CLASSID,2);
8222   MatCheckPreallocated(mat,1);
8223   ierr = PetscObjectReference((PetscObject)nullsp);CHKERRQ(ierr);
8224   ierr = MatNullSpaceDestroy(&mat->transnullsp);CHKERRQ(ierr);
8225   mat->transnullsp = nullsp;
8226   PetscFunctionReturn(0);
8227 }
8228 
8229 #undef __FUNCT__
8230 #define __FUNCT__ "MatSetNearNullSpace"
8231 /*@
8232    MatSetNearNullSpace - attaches a null space to a matrix, which is often the null space (rigid body modes) of the operator without boundary conditions
8233         This null space will be used to provide near null space vectors to a multigrid preconditioner built from this matrix.
8234 
8235    Logically Collective on Mat and MatNullSpace
8236 
8237    Input Parameters:
8238 +  mat - the matrix
8239 -  nullsp - the null space object
8240 
8241    Level: advanced
8242 
8243    Notes:
8244       Overwrites any previous near null space that may have been attached
8245 
8246       You can remove the null space by calling this routine with an nullsp of NULL
8247 
8248    Concepts: null space^attaching to matrix
8249 
8250 .seealso: MatCreate(), MatNullSpaceCreate(), MatSetNullSpace(), MatNullSpaceCreateRigidBody(), MatGetNearNullSpace()
8251 @*/
8252 PetscErrorCode MatSetNearNullSpace(Mat mat,MatNullSpace nullsp)
8253 {
8254   PetscErrorCode ierr;
8255 
8256   PetscFunctionBegin;
8257   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
8258   PetscValidType(mat,1);
8259   if (nullsp) PetscValidHeaderSpecific(nullsp,MAT_NULLSPACE_CLASSID,2);
8260   MatCheckPreallocated(mat,1);
8261   if (nullsp) {ierr = PetscObjectReference((PetscObject)nullsp);CHKERRQ(ierr);}
8262   ierr = MatNullSpaceDestroy(&mat->nearnullsp);CHKERRQ(ierr);
8263   mat->nearnullsp = nullsp;
8264   PetscFunctionReturn(0);
8265 }
8266 
8267 #undef __FUNCT__
8268 #define __FUNCT__ "MatGetNearNullSpace"
8269 /*@
8270    MatGetNearNullSpace -Get null space attached with MatSetNearNullSpace()
8271 
8272    Not Collective
8273 
8274    Input Parameters:
8275 .  mat - the matrix
8276 
8277    Output Parameters:
8278 .  nullsp - the null space object, NULL if not set
8279 
8280    Level: developer
8281 
8282    Concepts: null space^attaching to matrix
8283 
8284 .seealso: MatSetNearNullSpace(), MatGetNullSpace(), MatNullSpaceCreate()
8285 @*/
8286 PetscErrorCode MatGetNearNullSpace(Mat mat,MatNullSpace *nullsp)
8287 {
8288   PetscFunctionBegin;
8289   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
8290   PetscValidType(mat,1);
8291   PetscValidPointer(nullsp,2);
8292   MatCheckPreallocated(mat,1);
8293   *nullsp = mat->nearnullsp;
8294   PetscFunctionReturn(0);
8295 }
8296 
8297 #undef __FUNCT__
8298 #define __FUNCT__ "MatICCFactor"
8299 /*@C
8300    MatICCFactor - Performs in-place incomplete Cholesky factorization of matrix.
8301 
8302    Collective on Mat
8303 
8304    Input Parameters:
8305 +  mat - the matrix
8306 .  row - row/column permutation
8307 .  fill - expected fill factor >= 1.0
8308 -  level - level of fill, for ICC(k)
8309 
8310    Notes:
8311    Probably really in-place only when level of fill is zero, otherwise allocates
8312    new space to store factored matrix and deletes previous memory.
8313 
8314    Most users should employ the simplified KSP interface for linear solvers
8315    instead of working directly with matrix algebra routines such as this.
8316    See, e.g., KSPCreate().
8317 
8318    Level: developer
8319 
8320    Concepts: matrices^incomplete Cholesky factorization
8321    Concepts: Cholesky factorization
8322 
8323 .seealso: MatICCFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor()
8324 
8325     Developer Note: fortran interface is not autogenerated as the f90
8326     interface defintion cannot be generated correctly [due to MatFactorInfo]
8327 
8328 @*/
8329 PetscErrorCode MatICCFactor(Mat mat,IS row,const MatFactorInfo *info)
8330 {
8331   PetscErrorCode ierr;
8332 
8333   PetscFunctionBegin;
8334   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
8335   PetscValidType(mat,1);
8336   if (row) PetscValidHeaderSpecific(row,IS_CLASSID,2);
8337   PetscValidPointer(info,3);
8338   if (mat->rmap->N != mat->cmap->N) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONG,"matrix must be square");
8339   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
8340   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
8341   if (!mat->ops->iccfactor) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
8342   MatCheckPreallocated(mat,1);
8343   ierr = (*mat->ops->iccfactor)(mat,row,info);CHKERRQ(ierr);
8344   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
8345   PetscFunctionReturn(0);
8346 }
8347 
8348 #undef __FUNCT__
8349 #define __FUNCT__ "MatSetValuesAdifor"
8350 /*@
8351    MatSetValuesAdifor - Sets values computed with automatic differentiation into a matrix.
8352 
8353    Not Collective
8354 
8355    Input Parameters:
8356 +  mat - the matrix
8357 .  nl - leading dimension of v
8358 -  v - the values compute with ADIFOR
8359 
8360    Level: developer
8361 
8362    Notes:
8363      Must call MatSetColoring() before using this routine. Also this matrix must already
8364      have its nonzero pattern determined.
8365 
8366 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
8367           MatSetValues(), MatSetColoring()
8368 @*/
8369 PetscErrorCode MatSetValuesAdifor(Mat mat,PetscInt nl,void *v)
8370 {
8371   PetscErrorCode ierr;
8372 
8373   PetscFunctionBegin;
8374   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
8375   PetscValidType(mat,1);
8376   PetscValidPointer(v,3);
8377 
8378   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
8379   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
8380   if (!mat->ops->setvaluesadifor) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
8381   ierr = (*mat->ops->setvaluesadifor)(mat,nl,v);CHKERRQ(ierr);
8382   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
8383   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
8384   PetscFunctionReturn(0);
8385 }
8386 
8387 #undef __FUNCT__
8388 #define __FUNCT__ "MatDiagonalScaleLocal"
8389 /*@
8390    MatDiagonalScaleLocal - Scales columns of a matrix given the scaling values including the
8391          ghosted ones.
8392 
8393    Not Collective
8394 
8395    Input Parameters:
8396 +  mat - the matrix
8397 -  diag = the diagonal values, including ghost ones
8398 
8399    Level: developer
8400 
8401    Notes: Works only for MPIAIJ and MPIBAIJ matrices
8402 
8403 .seealso: MatDiagonalScale()
8404 @*/
8405 PetscErrorCode MatDiagonalScaleLocal(Mat mat,Vec diag)
8406 {
8407   PetscErrorCode ierr;
8408   PetscMPIInt    size;
8409 
8410   PetscFunctionBegin;
8411   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
8412   PetscValidHeaderSpecific(diag,VEC_CLASSID,2);
8413   PetscValidType(mat,1);
8414 
8415   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
8416   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
8417   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)mat),&size);CHKERRQ(ierr);
8418   if (size == 1) {
8419     PetscInt n,m;
8420     ierr = VecGetSize(diag,&n);CHKERRQ(ierr);
8421     ierr = MatGetSize(mat,0,&m);CHKERRQ(ierr);
8422     if (m == n) {
8423       ierr = MatDiagonalScale(mat,0,diag);CHKERRQ(ierr);
8424     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only supported for sequential matrices when no ghost points/periodic conditions");
8425   } else {
8426     ierr = PetscUseMethod(mat,"MatDiagonalScaleLocal_C",(Mat,Vec),(mat,diag));CHKERRQ(ierr);
8427   }
8428   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
8429   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
8430   PetscFunctionReturn(0);
8431 }
8432 
8433 #undef __FUNCT__
8434 #define __FUNCT__ "MatGetInertia"
8435 /*@
8436    MatGetInertia - Gets the inertia from a factored matrix
8437 
8438    Collective on Mat
8439 
8440    Input Parameter:
8441 .  mat - the matrix
8442 
8443    Output Parameters:
8444 +   nneg - number of negative eigenvalues
8445 .   nzero - number of zero eigenvalues
8446 -   npos - number of positive eigenvalues
8447 
8448    Level: advanced
8449 
8450    Notes: Matrix must have been factored by MatCholeskyFactor()
8451 
8452 
8453 @*/
8454 PetscErrorCode MatGetInertia(Mat mat,PetscInt *nneg,PetscInt *nzero,PetscInt *npos)
8455 {
8456   PetscErrorCode ierr;
8457 
8458   PetscFunctionBegin;
8459   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
8460   PetscValidType(mat,1);
8461   if (!mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
8462   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Numeric factor mat is not assembled");
8463   if (!mat->ops->getinertia) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
8464   ierr = (*mat->ops->getinertia)(mat,nneg,nzero,npos);CHKERRQ(ierr);
8465   PetscFunctionReturn(0);
8466 }
8467 
8468 /* ----------------------------------------------------------------*/
8469 #undef __FUNCT__
8470 #define __FUNCT__ "MatSolves"
8471 /*@C
8472    MatSolves - Solves A x = b, given a factored matrix, for a collection of vectors
8473 
8474    Neighbor-wise Collective on Mat and Vecs
8475 
8476    Input Parameters:
8477 +  mat - the factored matrix
8478 -  b - the right-hand-side vectors
8479 
8480    Output Parameter:
8481 .  x - the result vectors
8482 
8483    Notes:
8484    The vectors b and x cannot be the same.  I.e., one cannot
8485    call MatSolves(A,x,x).
8486 
8487    Notes:
8488    Most users should employ the simplified KSP interface for linear solvers
8489    instead of working directly with matrix algebra routines such as this.
8490    See, e.g., KSPCreate().
8491 
8492    Level: developer
8493 
8494    Concepts: matrices^triangular solves
8495 
8496 .seealso: MatSolveAdd(), MatSolveTranspose(), MatSolveTransposeAdd(), MatSolve()
8497 @*/
8498 PetscErrorCode MatSolves(Mat mat,Vecs b,Vecs x)
8499 {
8500   PetscErrorCode ierr;
8501 
8502   PetscFunctionBegin;
8503   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
8504   PetscValidType(mat,1);
8505   if (x == b) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_IDN,"x and b must be different vectors");
8506   if (!mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
8507   if (!mat->rmap->N && !mat->cmap->N) PetscFunctionReturn(0);
8508 
8509   if (!mat->ops->solves) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
8510   MatCheckPreallocated(mat,1);
8511   ierr = PetscLogEventBegin(MAT_Solves,mat,0,0,0);CHKERRQ(ierr);
8512   ierr = (*mat->ops->solves)(mat,b,x);CHKERRQ(ierr);
8513   ierr = PetscLogEventEnd(MAT_Solves,mat,0,0,0);CHKERRQ(ierr);
8514   PetscFunctionReturn(0);
8515 }
8516 
8517 #undef __FUNCT__
8518 #define __FUNCT__ "MatIsSymmetric"
8519 /*@
8520    MatIsSymmetric - Test whether a matrix is symmetric
8521 
8522    Collective on Mat
8523 
8524    Input Parameter:
8525 +  A - the matrix to test
8526 -  tol - difference between value and its transpose less than this amount counts as equal (use 0.0 for exact transpose)
8527 
8528    Output Parameters:
8529 .  flg - the result
8530 
8531    Notes: For real numbers MatIsSymmetric() and MatIsHermitian() return identical results
8532 
8533    Level: intermediate
8534 
8535    Concepts: matrix^symmetry
8536 
8537 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetricKnown()
8538 @*/
8539 PetscErrorCode MatIsSymmetric(Mat A,PetscReal tol,PetscBool  *flg)
8540 {
8541   PetscErrorCode ierr;
8542 
8543   PetscFunctionBegin;
8544   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
8545   PetscValidPointer(flg,2);
8546 
8547   if (!A->symmetric_set) {
8548     if (!A->ops->issymmetric) {
8549       MatType mattype;
8550       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
8551       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for symmetric",mattype);
8552     }
8553     ierr = (*A->ops->issymmetric)(A,tol,flg);CHKERRQ(ierr);
8554     if (!tol) {
8555       A->symmetric_set = PETSC_TRUE;
8556       A->symmetric     = *flg;
8557       if (A->symmetric) {
8558         A->structurally_symmetric_set = PETSC_TRUE;
8559         A->structurally_symmetric     = PETSC_TRUE;
8560       }
8561     }
8562   } else if (A->symmetric) {
8563     *flg = PETSC_TRUE;
8564   } else if (!tol) {
8565     *flg = PETSC_FALSE;
8566   } else {
8567     if (!A->ops->issymmetric) {
8568       MatType mattype;
8569       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
8570       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for symmetric",mattype);
8571     }
8572     ierr = (*A->ops->issymmetric)(A,tol,flg);CHKERRQ(ierr);
8573   }
8574   PetscFunctionReturn(0);
8575 }
8576 
8577 #undef __FUNCT__
8578 #define __FUNCT__ "MatIsHermitian"
8579 /*@
8580    MatIsHermitian - Test whether a matrix is Hermitian
8581 
8582    Collective on Mat
8583 
8584    Input Parameter:
8585 +  A - the matrix to test
8586 -  tol - difference between value and its transpose less than this amount counts as equal (use 0.0 for exact Hermitian)
8587 
8588    Output Parameters:
8589 .  flg - the result
8590 
8591    Level: intermediate
8592 
8593    Concepts: matrix^symmetry
8594 
8595 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(),
8596           MatIsSymmetricKnown(), MatIsSymmetric()
8597 @*/
8598 PetscErrorCode MatIsHermitian(Mat A,PetscReal tol,PetscBool  *flg)
8599 {
8600   PetscErrorCode ierr;
8601 
8602   PetscFunctionBegin;
8603   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
8604   PetscValidPointer(flg,2);
8605 
8606   if (!A->hermitian_set) {
8607     if (!A->ops->ishermitian) {
8608       MatType mattype;
8609       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
8610       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for hermitian",mattype);
8611     }
8612     ierr = (*A->ops->ishermitian)(A,tol,flg);CHKERRQ(ierr);
8613     if (!tol) {
8614       A->hermitian_set = PETSC_TRUE;
8615       A->hermitian     = *flg;
8616       if (A->hermitian) {
8617         A->structurally_symmetric_set = PETSC_TRUE;
8618         A->structurally_symmetric     = PETSC_TRUE;
8619       }
8620     }
8621   } else if (A->hermitian) {
8622     *flg = PETSC_TRUE;
8623   } else if (!tol) {
8624     *flg = PETSC_FALSE;
8625   } else {
8626     if (!A->ops->ishermitian) {
8627       MatType mattype;
8628       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
8629       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for hermitian",mattype);
8630     }
8631     ierr = (*A->ops->ishermitian)(A,tol,flg);CHKERRQ(ierr);
8632   }
8633   PetscFunctionReturn(0);
8634 }
8635 
8636 #undef __FUNCT__
8637 #define __FUNCT__ "MatIsSymmetricKnown"
8638 /*@
8639    MatIsSymmetricKnown - Checks the flag on the matrix to see if it is symmetric.
8640 
8641    Not Collective
8642 
8643    Input Parameter:
8644 .  A - the matrix to check
8645 
8646    Output Parameters:
8647 +  set - if the symmetric flag is set (this tells you if the next flag is valid)
8648 -  flg - the result
8649 
8650    Level: advanced
8651 
8652    Concepts: matrix^symmetry
8653 
8654    Note: Does not check the matrix values directly, so this may return unknown (set = PETSC_FALSE). Use MatIsSymmetric()
8655          if you want it explicitly checked
8656 
8657 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetric()
8658 @*/
8659 PetscErrorCode MatIsSymmetricKnown(Mat A,PetscBool  *set,PetscBool  *flg)
8660 {
8661   PetscFunctionBegin;
8662   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
8663   PetscValidPointer(set,2);
8664   PetscValidPointer(flg,3);
8665   if (A->symmetric_set) {
8666     *set = PETSC_TRUE;
8667     *flg = A->symmetric;
8668   } else {
8669     *set = PETSC_FALSE;
8670   }
8671   PetscFunctionReturn(0);
8672 }
8673 
8674 #undef __FUNCT__
8675 #define __FUNCT__ "MatIsHermitianKnown"
8676 /*@
8677    MatIsHermitianKnown - Checks the flag on the matrix to see if it is hermitian.
8678 
8679    Not Collective
8680 
8681    Input Parameter:
8682 .  A - the matrix to check
8683 
8684    Output Parameters:
8685 +  set - if the hermitian flag is set (this tells you if the next flag is valid)
8686 -  flg - the result
8687 
8688    Level: advanced
8689 
8690    Concepts: matrix^symmetry
8691 
8692    Note: Does not check the matrix values directly, so this may return unknown (set = PETSC_FALSE). Use MatIsHermitian()
8693          if you want it explicitly checked
8694 
8695 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetric()
8696 @*/
8697 PetscErrorCode MatIsHermitianKnown(Mat A,PetscBool  *set,PetscBool  *flg)
8698 {
8699   PetscFunctionBegin;
8700   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
8701   PetscValidPointer(set,2);
8702   PetscValidPointer(flg,3);
8703   if (A->hermitian_set) {
8704     *set = PETSC_TRUE;
8705     *flg = A->hermitian;
8706   } else {
8707     *set = PETSC_FALSE;
8708   }
8709   PetscFunctionReturn(0);
8710 }
8711 
8712 #undef __FUNCT__
8713 #define __FUNCT__ "MatIsStructurallySymmetric"
8714 /*@
8715    MatIsStructurallySymmetric - Test whether a matrix is structurally symmetric
8716 
8717    Collective on Mat
8718 
8719    Input Parameter:
8720 .  A - the matrix to test
8721 
8722    Output Parameters:
8723 .  flg - the result
8724 
8725    Level: intermediate
8726 
8727    Concepts: matrix^symmetry
8728 
8729 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsSymmetric(), MatSetOption()
8730 @*/
8731 PetscErrorCode MatIsStructurallySymmetric(Mat A,PetscBool  *flg)
8732 {
8733   PetscErrorCode ierr;
8734 
8735   PetscFunctionBegin;
8736   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
8737   PetscValidPointer(flg,2);
8738   if (!A->structurally_symmetric_set) {
8739     if (!A->ops->isstructurallysymmetric) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Matrix does not support checking for structural symmetric");
8740     ierr = (*A->ops->isstructurallysymmetric)(A,&A->structurally_symmetric);CHKERRQ(ierr);
8741 
8742     A->structurally_symmetric_set = PETSC_TRUE;
8743   }
8744   *flg = A->structurally_symmetric;
8745   PetscFunctionReturn(0);
8746 }
8747 
8748 #undef __FUNCT__
8749 #define __FUNCT__ "MatStashGetInfo"
8750 extern PetscErrorCode MatStashGetInfo_Private(MatStash*,PetscInt*,PetscInt*);
8751 /*@
8752    MatStashGetInfo - Gets how many values are currently in the matrix stash, i.e. need
8753        to be communicated to other processors during the MatAssemblyBegin/End() process
8754 
8755     Not collective
8756 
8757    Input Parameter:
8758 .   vec - the vector
8759 
8760    Output Parameters:
8761 +   nstash   - the size of the stash
8762 .   reallocs - the number of additional mallocs incurred.
8763 .   bnstash   - the size of the block stash
8764 -   breallocs - the number of additional mallocs incurred.in the block stash
8765 
8766    Level: advanced
8767 
8768 .seealso: MatAssemblyBegin(), MatAssemblyEnd(), Mat, MatStashSetInitialSize()
8769 
8770 @*/
8771 PetscErrorCode MatStashGetInfo(Mat mat,PetscInt *nstash,PetscInt *reallocs,PetscInt *bnstash,PetscInt *breallocs)
8772 {
8773   PetscErrorCode ierr;
8774 
8775   PetscFunctionBegin;
8776   ierr = MatStashGetInfo_Private(&mat->stash,nstash,reallocs);CHKERRQ(ierr);
8777   ierr = MatStashGetInfo_Private(&mat->bstash,bnstash,breallocs);CHKERRQ(ierr);
8778   PetscFunctionReturn(0);
8779 }
8780 
8781 #undef __FUNCT__
8782 #define __FUNCT__ "MatCreateVecs"
8783 /*@C
8784    MatCreateVecs - Get vector(s) compatible with the matrix, i.e. with the same
8785      parallel layout
8786 
8787    Collective on Mat
8788 
8789    Input Parameter:
8790 .  mat - the matrix
8791 
8792    Output Parameter:
8793 +   right - (optional) vector that the matrix can be multiplied against
8794 -   left - (optional) vector that the matrix vector product can be stored in
8795 
8796    Notes:
8797     The blocksize of the returned vectors is determined by the row and column block sizes set with MatSetBlockSizes() or the single blocksize (same for both) set by MatSetBlockSize().
8798 
8799   Notes: These are new vectors which are not owned by the Mat, they should be destroyed in VecDestroy() when no longer needed
8800 
8801   Level: advanced
8802 
8803 .seealso: MatCreate(), VecDestroy()
8804 @*/
8805 PetscErrorCode MatCreateVecs(Mat mat,Vec *right,Vec *left)
8806 {
8807   PetscErrorCode ierr;
8808 
8809   PetscFunctionBegin;
8810   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
8811   PetscValidType(mat,1);
8812   if (mat->ops->getvecs) {
8813     ierr = (*mat->ops->getvecs)(mat,right,left);CHKERRQ(ierr);
8814   } else {
8815     PetscInt rbs,cbs;
8816     ierr = MatGetBlockSizes(mat,&rbs,&cbs);CHKERRQ(ierr);
8817     if (right) {
8818       if (mat->cmap->n < 0) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"PetscLayout for columns not yet setup");
8819       ierr = VecCreate(PetscObjectComm((PetscObject)mat),right);CHKERRQ(ierr);
8820       ierr = VecSetSizes(*right,mat->cmap->n,PETSC_DETERMINE);CHKERRQ(ierr);
8821       ierr = VecSetBlockSize(*right,cbs);CHKERRQ(ierr);
8822       ierr = VecSetType(*right,VECSTANDARD);CHKERRQ(ierr);
8823       ierr = PetscLayoutReference(mat->cmap,&(*right)->map);CHKERRQ(ierr);
8824     }
8825     if (left) {
8826       if (mat->rmap->n < 0) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"PetscLayout for rows not yet setup");
8827       ierr = VecCreate(PetscObjectComm((PetscObject)mat),left);CHKERRQ(ierr);
8828       ierr = VecSetSizes(*left,mat->rmap->n,PETSC_DETERMINE);CHKERRQ(ierr);
8829       ierr = VecSetBlockSize(*left,rbs);CHKERRQ(ierr);
8830       ierr = VecSetType(*left,VECSTANDARD);CHKERRQ(ierr);
8831       ierr = PetscLayoutReference(mat->rmap,&(*left)->map);CHKERRQ(ierr);
8832     }
8833   }
8834   PetscFunctionReturn(0);
8835 }
8836 
8837 #undef __FUNCT__
8838 #define __FUNCT__ "MatFactorInfoInitialize"
8839 /*@C
8840    MatFactorInfoInitialize - Initializes a MatFactorInfo data structure
8841      with default values.
8842 
8843    Not Collective
8844 
8845    Input Parameters:
8846 .    info - the MatFactorInfo data structure
8847 
8848 
8849    Notes: The solvers are generally used through the KSP and PC objects, for example
8850           PCLU, PCILU, PCCHOLESKY, PCICC
8851 
8852    Level: developer
8853 
8854 .seealso: MatFactorInfo
8855 
8856     Developer Note: fortran interface is not autogenerated as the f90
8857     interface defintion cannot be generated correctly [due to MatFactorInfo]
8858 
8859 @*/
8860 
8861 PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *info)
8862 {
8863   PetscErrorCode ierr;
8864 
8865   PetscFunctionBegin;
8866   ierr = PetscMemzero(info,sizeof(MatFactorInfo));CHKERRQ(ierr);
8867   PetscFunctionReturn(0);
8868 }
8869 
8870 #undef __FUNCT__
8871 #define __FUNCT__ "MatFactorSetSchurIS"
8872 /*@
8873    MatFactorSetSchurIS - Set indices corresponding to the Schur complement
8874 
8875    Collective on Mat
8876 
8877    Input Parameters:
8878 +  mat - the factored matrix
8879 -  is - the index set defining the Schur indices (0-based)
8880 
8881    Notes:
8882 
8883    Level: developer
8884 
8885    Concepts:
8886 
8887 .seealso: MatGetFactor(), MatFactorSetSchurIS(), MatFactorRestoreSchurComplement(), MatFactorCreateSchurComplement()
8888 
8889 @*/
8890 PetscErrorCode MatFactorSetSchurIS(Mat mat,IS is)
8891 {
8892   PetscErrorCode ierr,(*f)(Mat,IS);
8893 
8894   PetscFunctionBegin;
8895   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
8896   PetscValidType(mat,1);
8897   PetscValidHeaderSpecific(is,IS_CLASSID,2);
8898   PetscValidType(is,2);
8899   PetscCheckSameComm(mat,1,is,2);
8900   if (!mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
8901   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatFactorSetSchurIS_C",&f);CHKERRQ(ierr);
8902   if (!f) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"The selected MatSolverPackage does not support Schur complement computation. You should use MATSOLVERMUMPS or MATSOLVERMKL_PARDISO");
8903   ierr = (*f)(mat,is);CHKERRQ(ierr);
8904   PetscFunctionReturn(0);
8905 }
8906 
8907 #undef __FUNCT__
8908 #define __FUNCT__ "MatFactorCreateSchurComplement"
8909 /*@
8910   MatFactorCreateSchurComplement - Create a Schur complement matrix object using Schur data computed during the factorization step
8911 
8912    Logically Collective on Mat
8913 
8914    Input Parameters:
8915 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
8916 .  *S - location where to return the Schur complement (MATDENSE)
8917 
8918    Notes:
8919    The routine provides a copy of the Schur data stored within solver's data strutures. The caller must destroy the object when it is no longer needed.
8920    If MatFactorInvertSchurComplement has been called, the routine gets back the inverse
8921 
8922    Level: advanced
8923 
8924    References:
8925 
8926 .seealso: MatGetFactor(), MatFactorSetSchurIS(), MatFactorGetSchurComplement()
8927 @*/
8928 PetscErrorCode MatFactorCreateSchurComplement(Mat F,Mat* S)
8929 {
8930   PetscErrorCode ierr;
8931 
8932   PetscFunctionBegin;
8933   PetscValidHeaderSpecific(F,MAT_CLASSID,1);
8934   ierr = PetscUseMethod(F,"MatFactorCreateSchurComplement_C",(Mat,Mat*),(F,S));CHKERRQ(ierr);
8935   PetscFunctionReturn(0);
8936 }
8937 
8938 #undef __FUNCT__
8939 #define __FUNCT__ "MatFactorGetSchurComplement"
8940 /*@
8941   MatFactorGetSchurComplement - Get a Schur complement matrix object using the current Schur data
8942 
8943    Logically Collective on Mat
8944 
8945    Input Parameters:
8946 +  F - the factored matrix obtained by calling MatGetFactor()
8947 .  *S - location where to return the Schur complement (in MATDENSE format)
8948 
8949    Notes:
8950    Schur complement mode is currently implemented for sequential matrices.
8951    The routine returns a dense matrix pointing to the raw data of the Schur Complement stored within the data strutures of the solver; e.g. if MatFactorInvertSchurComplement has been called, the returned matrix is actually the inverse of the Schur complement.
8952    The caller should call MatFactorRestoreSchurComplement when the object is no longer needed.
8953 
8954    Level: advanced
8955 
8956    References:
8957 
8958 .seealso: MatGetFactor(), MatFactorSetSchurIS(), MatFactorRestoreSchurComplement(), MatFactorCreateSchurComplement()
8959 @*/
8960 PetscErrorCode MatFactorGetSchurComplement(Mat F,Mat* S)
8961 {
8962   PetscErrorCode ierr;
8963 
8964   PetscFunctionBegin;
8965   PetscValidHeaderSpecific(F,MAT_CLASSID,1);
8966   ierr = PetscUseMethod(F,"MatFactorGetSchurComplement_C",(Mat,Mat*),(F,S));CHKERRQ(ierr);
8967   PetscFunctionReturn(0);
8968 }
8969 
8970 #undef __FUNCT__
8971 #define __FUNCT__ "MatFactorRestoreSchurComplement"
8972 /*@
8973   MatFactorRestoreSchurComplement - Restore the Schur complement matrix object obtained from a call to MatFactorGetSchurComplement
8974 
8975    Logically Collective on Mat
8976 
8977    Input Parameters:
8978 +  F - the factored matrix obtained by calling MatGetFactor()
8979 .  *S - location where the Schur complement is stored
8980 
8981    Notes:
8982 
8983    Level: advanced
8984 
8985    References:
8986 
8987 .seealso: MatGetFactor(), MatFactorSetSchurIS(), MatFactorRestoreSchurComplement(), MatFactorCreateSchurComplement()
8988 @*/
8989 PetscErrorCode MatFactorRestoreSchurComplement(Mat F,Mat* S)
8990 {
8991   PetscErrorCode ierr;
8992 
8993   PetscFunctionBegin;
8994   PetscValidHeaderSpecific(F,MAT_CLASSID,1);
8995   PetscValidHeaderSpecific(*S,MAT_CLASSID,1);
8996   ierr = MatDestroy(S);CHKERRQ(ierr);
8997   PetscFunctionReturn(0);
8998 }
8999 
9000 #undef __FUNCT__
9001 #define __FUNCT__ "MatFactorSolveSchurComplementTranspose"
9002 /*@
9003   MatFactorSolveSchurComplementTranspose - Solve the transpose of the Schur complement system computed during the factorization step
9004 
9005    Logically Collective on Mat
9006 
9007    Input Parameters:
9008 +  F - the factored matrix obtained by calling MatGetFactor()
9009 .  rhs - location where the right hand side of the Schur complement system is stored
9010 -  sol - location where the solution of the Schur complement system has to be returned
9011 
9012    Notes:
9013    The sizes of the vectors should match the size of the Schur complement
9014 
9015    Level: advanced
9016 
9017    References:
9018 
9019 .seealso: MatGetFactor(), MatFactorSetSchurIS()
9020 @*/
9021 PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat F, Vec rhs, Vec sol)
9022 {
9023   PetscErrorCode ierr;
9024 
9025   PetscFunctionBegin;
9026   PetscValidHeaderSpecific(F,MAT_CLASSID,1);
9027   PetscValidHeaderSpecific(rhs,VEC_CLASSID,2);
9028   PetscValidHeaderSpecific(sol,VEC_CLASSID,2);
9029   PetscCheckSameComm(F,1,rhs,2);
9030   PetscCheckSameComm(F,1,sol,3);
9031   ierr = PetscUseMethod(F,"MatFactorSolveSchurComplementTranspose_C",(Mat,Vec,Vec),(F,rhs,sol));CHKERRQ(ierr);
9032   PetscFunctionReturn(0);
9033 }
9034 
9035 #undef __FUNCT__
9036 #define __FUNCT__ "MatFactorSolveSchurComplement"
9037 /*@
9038   MatFactorSolveSchurComplement - Solve the Schur complement system computed during the factorization step
9039 
9040    Logically Collective on Mat
9041 
9042    Input Parameters:
9043 +  F - the factored matrix obtained by calling MatGetFactor()
9044 .  rhs - location where the right hand side of the Schur complement system is stored
9045 -  sol - location where the solution of the Schur complement system has to be returned
9046 
9047    Notes:
9048    The sizes of the vectors should match the size of the Schur complement
9049 
9050    Level: advanced
9051 
9052    References:
9053 
9054 .seealso: MatGetFactor(), MatFactorSetSchurIS()
9055 @*/
9056 PetscErrorCode MatFactorSolveSchurComplement(Mat F, Vec rhs, Vec sol)
9057 {
9058   PetscErrorCode ierr;
9059 
9060   PetscFunctionBegin;
9061   PetscValidHeaderSpecific(F,MAT_CLASSID,1);
9062   PetscValidHeaderSpecific(rhs,VEC_CLASSID,2);
9063   PetscValidHeaderSpecific(sol,VEC_CLASSID,2);
9064   PetscCheckSameComm(F,1,rhs,2);
9065   PetscCheckSameComm(F,1,sol,3);
9066   ierr = PetscUseMethod(F,"MatFactorSolveSchurComplement_C",(Mat,Vec,Vec),(F,rhs,sol));CHKERRQ(ierr);
9067   PetscFunctionReturn(0);
9068 }
9069 
9070 #undef __FUNCT__
9071 #define __FUNCT__ "MatFactorInvertSchurComplement"
9072 /*@
9073   MatFactorInvertSchurComplement - Invert the raw Schur data computed during the factorization step
9074 
9075    Logically Collective on Mat
9076 
9077    Input Parameters:
9078 +  F - the factored matrix obtained by calling MatGetFactor()
9079 
9080    Notes:
9081 
9082    Level: advanced
9083 
9084    References:
9085 
9086 .seealso: MatGetFactor(), MatFactorSetSchurIS()
9087 @*/
9088 PetscErrorCode MatFactorInvertSchurComplement(Mat F)
9089 {
9090   PetscErrorCode ierr;
9091 
9092   PetscFunctionBegin;
9093   PetscValidHeaderSpecific(F,MAT_CLASSID,1);
9094   ierr = PetscUseMethod(F,"MatFactorInvertSchurComplement_C",(Mat),(F));CHKERRQ(ierr);
9095   PetscFunctionReturn(0);
9096 }
9097 
9098 
9099 #undef __FUNCT__
9100 #define __FUNCT__ "MatPtAP"
9101 /*@
9102    MatPtAP - Creates the matrix product C = P^T * A * P
9103 
9104    Neighbor-wise Collective on Mat
9105 
9106    Input Parameters:
9107 +  A - the matrix
9108 .  P - the projection matrix
9109 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
9110 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(P)), use PETSC_DEFAULT if you do not have a good estimate
9111           if the result is a dense matrix this is irrelevent
9112 
9113    Output Parameters:
9114 .  C - the product matrix
9115 
9116    Notes:
9117    C will be created and must be destroyed by the user with MatDestroy().
9118 
9119    This routine is currently only implemented for pairs of AIJ matrices and classes
9120    which inherit from AIJ.
9121 
9122    Level: intermediate
9123 
9124 .seealso: MatPtAPSymbolic(), MatPtAPNumeric(), MatMatMult(), MatRARt()
9125 @*/
9126 PetscErrorCode MatPtAP(Mat A,Mat P,MatReuse scall,PetscReal fill,Mat *C)
9127 {
9128   PetscErrorCode ierr;
9129   PetscErrorCode (*fA)(Mat,Mat,MatReuse,PetscReal,Mat*);
9130   PetscErrorCode (*fP)(Mat,Mat,MatReuse,PetscReal,Mat*);
9131   PetscErrorCode (*ptap)(Mat,Mat,MatReuse,PetscReal,Mat*)=NULL;
9132   PetscBool      viatranspose=PETSC_FALSE,viamatmatmatmult=PETSC_FALSE;
9133 
9134   PetscFunctionBegin;
9135   ierr = PetscOptionsGetBool(((PetscObject)A)->options,((PetscObject)A)->prefix,"-matptap_viatranspose",&viatranspose,NULL);CHKERRQ(ierr);
9136   ierr = PetscOptionsGetBool(((PetscObject)A)->options,((PetscObject)A)->prefix,"-matptap_viamatmatmatmult",&viamatmatmatmult,NULL);CHKERRQ(ierr);
9137 
9138   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
9139   PetscValidType(A,1);
9140   MatCheckPreallocated(A,1);
9141   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9142   if (A->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9143   PetscValidHeaderSpecific(P,MAT_CLASSID,2);
9144   PetscValidType(P,2);
9145   MatCheckPreallocated(P,2);
9146   if (!P->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9147   if (P->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9148 
9149   if (A->rmap->N!= A->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix A must be square, %D != %D",A->rmap->N,A->cmap->N);
9150   if (P->rmap->N != A->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
9151   if (fill == PETSC_DEFAULT || fill == PETSC_DECIDE) fill = 2.0;
9152   if (fill < 1.0) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Expected fill=%g must be >= 1.0",(double)fill);
9153 
9154   if (scall == MAT_REUSE_MATRIX) {
9155     PetscValidPointer(*C,5);
9156     PetscValidHeaderSpecific(*C,MAT_CLASSID,5);
9157     if (viatranspose || viamatmatmatmult) {
9158       Mat Pt;
9159       ierr = MatTranspose(P,MAT_INITIAL_MATRIX,&Pt);CHKERRQ(ierr);
9160       if (viamatmatmatmult) {
9161         ierr = MatMatMatMult(Pt,A,P,scall,fill,C);CHKERRQ(ierr);
9162       } else {
9163         Mat AP;
9164         ierr = MatMatMult(A,P,MAT_INITIAL_MATRIX,fill,&AP);CHKERRQ(ierr);
9165         ierr = MatMatMult(Pt,AP,scall,fill,C);CHKERRQ(ierr);
9166         ierr = MatDestroy(&AP);CHKERRQ(ierr);
9167       }
9168       ierr = MatDestroy(&Pt);CHKERRQ(ierr);
9169     } else {
9170       ierr = PetscLogEventBegin(MAT_PtAP,A,P,0,0);CHKERRQ(ierr);
9171       ierr = PetscLogEventBegin(MAT_PtAPNumeric,A,P,0,0);CHKERRQ(ierr);
9172       ierr = (*(*C)->ops->ptapnumeric)(A,P,*C);CHKERRQ(ierr);
9173       ierr = PetscLogEventEnd(MAT_PtAPNumeric,A,P,0,0);CHKERRQ(ierr);
9174       ierr = PetscLogEventEnd(MAT_PtAP,A,P,0,0);CHKERRQ(ierr);
9175     }
9176     PetscFunctionReturn(0);
9177   }
9178 
9179   if (fill == PETSC_DEFAULT || fill == PETSC_DECIDE) fill = 2.0;
9180   if (fill < 1.0) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Expected fill=%g must be >= 1.0",(double)fill);
9181 
9182   fA = A->ops->ptap;
9183   fP = P->ops->ptap;
9184   if (fP == fA) {
9185     if (!fA) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"MatPtAP not supported for A of type %s",((PetscObject)A)->type_name);
9186     ptap = fA;
9187   } else {
9188     /* dispatch based on the type of A and P from their PetscObject's PetscFunctionLists. */
9189     char ptapname[256];
9190     ierr = PetscStrcpy(ptapname,"MatPtAP_");CHKERRQ(ierr);
9191     ierr = PetscStrcat(ptapname,((PetscObject)A)->type_name);CHKERRQ(ierr);
9192     ierr = PetscStrcat(ptapname,"_");CHKERRQ(ierr);
9193     ierr = PetscStrcat(ptapname,((PetscObject)P)->type_name);CHKERRQ(ierr);
9194     ierr = PetscStrcat(ptapname,"_C");CHKERRQ(ierr); /* e.g., ptapname = "MatPtAP_seqdense_seqaij_C" */
9195     ierr = PetscObjectQueryFunction((PetscObject)P,ptapname,&ptap);CHKERRQ(ierr);
9196     if (!ptap) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_INCOMP,"MatPtAP requires A, %s, to be compatible with P, %s",((PetscObject)A)->type_name,((PetscObject)P)->type_name);
9197   }
9198 
9199   if (viatranspose || viamatmatmatmult) {
9200     Mat Pt;
9201     ierr = MatTranspose(P,MAT_INITIAL_MATRIX,&Pt);CHKERRQ(ierr);
9202     if (viamatmatmatmult) {
9203       ierr = MatMatMatMult(Pt,A,P,scall,fill,C);CHKERRQ(ierr);
9204       ierr = PetscInfo(*C,"MatPtAP via MatMatMatMult\n");CHKERRQ(ierr);
9205     } else {
9206       Mat AP;
9207       ierr = MatMatMult(A,P,MAT_INITIAL_MATRIX,fill,&AP);CHKERRQ(ierr);
9208       ierr = MatMatMult(Pt,AP,scall,fill,C);CHKERRQ(ierr);
9209       ierr = MatDestroy(&AP);CHKERRQ(ierr);
9210       ierr = PetscInfo(*C,"MatPtAP via MatTranspose and MatMatMult\n");CHKERRQ(ierr);
9211     }
9212     ierr = MatDestroy(&Pt);CHKERRQ(ierr);
9213   } else {
9214     ierr = PetscLogEventBegin(MAT_PtAP,A,P,0,0);CHKERRQ(ierr);
9215     ierr = (*ptap)(A,P,scall,fill,C);CHKERRQ(ierr);
9216     ierr = PetscLogEventEnd(MAT_PtAP,A,P,0,0);CHKERRQ(ierr);
9217   }
9218   PetscFunctionReturn(0);
9219 }
9220 
9221 #undef __FUNCT__
9222 #define __FUNCT__ "MatPtAPNumeric"
9223 /*@
9224    MatPtAPNumeric - Computes the matrix product C = P^T * A * P
9225 
9226    Neighbor-wise Collective on Mat
9227 
9228    Input Parameters:
9229 +  A - the matrix
9230 -  P - the projection matrix
9231 
9232    Output Parameters:
9233 .  C - the product matrix
9234 
9235    Notes:
9236    C must have been created by calling MatPtAPSymbolic and must be destroyed by
9237    the user using MatDeatroy().
9238 
9239    This routine is currently only implemented for pairs of AIJ matrices and classes
9240    which inherit from AIJ.  C will be of type MATAIJ.
9241 
9242    Level: intermediate
9243 
9244 .seealso: MatPtAP(), MatPtAPSymbolic(), MatMatMultNumeric()
9245 @*/
9246 PetscErrorCode MatPtAPNumeric(Mat A,Mat P,Mat C)
9247 {
9248   PetscErrorCode ierr;
9249 
9250   PetscFunctionBegin;
9251   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
9252   PetscValidType(A,1);
9253   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9254   if (A->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9255   PetscValidHeaderSpecific(P,MAT_CLASSID,2);
9256   PetscValidType(P,2);
9257   MatCheckPreallocated(P,2);
9258   if (!P->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9259   if (P->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9260   PetscValidHeaderSpecific(C,MAT_CLASSID,3);
9261   PetscValidType(C,3);
9262   MatCheckPreallocated(C,3);
9263   if (C->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9264   if (P->cmap->N!=C->rmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->cmap->N,C->rmap->N);
9265   if (P->rmap->N!=A->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
9266   if (A->rmap->N!=A->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix 'A' must be square, %D != %D",A->rmap->N,A->cmap->N);
9267   if (P->cmap->N!=C->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->cmap->N,C->cmap->N);
9268   MatCheckPreallocated(A,1);
9269 
9270   ierr = PetscLogEventBegin(MAT_PtAPNumeric,A,P,0,0);CHKERRQ(ierr);
9271   ierr = (*C->ops->ptapnumeric)(A,P,C);CHKERRQ(ierr);
9272   ierr = PetscLogEventEnd(MAT_PtAPNumeric,A,P,0,0);CHKERRQ(ierr);
9273   PetscFunctionReturn(0);
9274 }
9275 
9276 #undef __FUNCT__
9277 #define __FUNCT__ "MatPtAPSymbolic"
9278 /*@
9279    MatPtAPSymbolic - Creates the (i,j) structure of the matrix product C = P^T * A * P
9280 
9281    Neighbor-wise Collective on Mat
9282 
9283    Input Parameters:
9284 +  A - the matrix
9285 -  P - the projection matrix
9286 
9287    Output Parameters:
9288 .  C - the (i,j) structure of the product matrix
9289 
9290    Notes:
9291    C will be created and must be destroyed by the user with MatDestroy().
9292 
9293    This routine is currently only implemented for pairs of SeqAIJ matrices and classes
9294    which inherit from SeqAIJ.  C will be of type MATSEQAIJ.  The product is computed using
9295    this (i,j) structure by calling MatPtAPNumeric().
9296 
9297    Level: intermediate
9298 
9299 .seealso: MatPtAP(), MatPtAPNumeric(), MatMatMultSymbolic()
9300 @*/
9301 PetscErrorCode MatPtAPSymbolic(Mat A,Mat P,PetscReal fill,Mat *C)
9302 {
9303   PetscErrorCode ierr;
9304 
9305   PetscFunctionBegin;
9306   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
9307   PetscValidType(A,1);
9308   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9309   if (A->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9310   if (fill <1.0) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Expected fill=%g must be >= 1.0",(double)fill);
9311   PetscValidHeaderSpecific(P,MAT_CLASSID,2);
9312   PetscValidType(P,2);
9313   MatCheckPreallocated(P,2);
9314   if (!P->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9315   if (P->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9316   PetscValidPointer(C,3);
9317 
9318   if (P->rmap->N!=A->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
9319   if (A->rmap->N!=A->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix 'A' must be square, %D != %D",A->rmap->N,A->cmap->N);
9320   MatCheckPreallocated(A,1);
9321   ierr = PetscLogEventBegin(MAT_PtAPSymbolic,A,P,0,0);CHKERRQ(ierr);
9322   ierr = (*A->ops->ptapsymbolic)(A,P,fill,C);CHKERRQ(ierr);
9323   ierr = PetscLogEventEnd(MAT_PtAPSymbolic,A,P,0,0);CHKERRQ(ierr);
9324 
9325   /* ierr = MatSetBlockSize(*C,A->rmap->bs);CHKERRQ(ierr); NO! this is not always true -ma */
9326   PetscFunctionReturn(0);
9327 }
9328 
9329 #undef __FUNCT__
9330 #define __FUNCT__ "MatRARt"
9331 /*@
9332    MatRARt - Creates the matrix product C = R * A * R^T
9333 
9334    Neighbor-wise Collective on Mat
9335 
9336    Input Parameters:
9337 +  A - the matrix
9338 .  R - the projection matrix
9339 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
9340 -  fill - expected fill as ratio of nnz(C)/nnz(A), use PETSC_DEFAULT if you do not have a good estimate
9341           if the result is a dense matrix this is irrelevent
9342 
9343    Output Parameters:
9344 .  C - the product matrix
9345 
9346    Notes:
9347    C will be created and must be destroyed by the user with MatDestroy().
9348 
9349    This routine is currently only implemented for pairs of AIJ matrices and classes
9350    which inherit from AIJ.
9351 
9352    Level: intermediate
9353 
9354 .seealso: MatRARtSymbolic(), MatRARtNumeric(), MatMatMult(), MatPtAP()
9355 @*/
9356 PetscErrorCode MatRARt(Mat A,Mat R,MatReuse scall,PetscReal fill,Mat *C)
9357 {
9358   PetscErrorCode ierr;
9359 
9360   PetscFunctionBegin;
9361   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
9362   PetscValidType(A,1);
9363   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9364   if (A->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9365   PetscValidHeaderSpecific(R,MAT_CLASSID,2);
9366   PetscValidType(R,2);
9367   MatCheckPreallocated(R,2);
9368   if (!R->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9369   if (R->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9370   PetscValidPointer(C,3);
9371   if (R->cmap->N!=A->rmap->N) SETERRQ2(PetscObjectComm((PetscObject)R),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",R->cmap->N,A->rmap->N);
9372 
9373   if (fill == PETSC_DEFAULT || fill == PETSC_DECIDE) fill = 2.0;
9374   if (fill < 1.0) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Expected fill=%g must be >= 1.0",(double)fill);
9375   MatCheckPreallocated(A,1);
9376 
9377   if (!A->ops->rart) {
9378     MatType mattype;
9379     ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
9380     SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Matrix of type <%s> does not support RARt",mattype);
9381   }
9382   ierr = PetscLogEventBegin(MAT_RARt,A,R,0,0);CHKERRQ(ierr);
9383   ierr = (*A->ops->rart)(A,R,scall,fill,C);CHKERRQ(ierr);
9384   ierr = PetscLogEventEnd(MAT_RARt,A,R,0,0);CHKERRQ(ierr);
9385   PetscFunctionReturn(0);
9386 }
9387 
9388 #undef __FUNCT__
9389 #define __FUNCT__ "MatRARtNumeric"
9390 /*@
9391    MatRARtNumeric - Computes the matrix product C = R * A * R^T
9392 
9393    Neighbor-wise Collective on Mat
9394 
9395    Input Parameters:
9396 +  A - the matrix
9397 -  R - the projection matrix
9398 
9399    Output Parameters:
9400 .  C - the product matrix
9401 
9402    Notes:
9403    C must have been created by calling MatRARtSymbolic and must be destroyed by
9404    the user using MatDestroy().
9405 
9406    This routine is currently only implemented for pairs of AIJ matrices and classes
9407    which inherit from AIJ.  C will be of type MATAIJ.
9408 
9409    Level: intermediate
9410 
9411 .seealso: MatRARt(), MatRARtSymbolic(), MatMatMultNumeric()
9412 @*/
9413 PetscErrorCode MatRARtNumeric(Mat A,Mat R,Mat C)
9414 {
9415   PetscErrorCode ierr;
9416 
9417   PetscFunctionBegin;
9418   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
9419   PetscValidType(A,1);
9420   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9421   if (A->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9422   PetscValidHeaderSpecific(R,MAT_CLASSID,2);
9423   PetscValidType(R,2);
9424   MatCheckPreallocated(R,2);
9425   if (!R->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9426   if (R->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9427   PetscValidHeaderSpecific(C,MAT_CLASSID,3);
9428   PetscValidType(C,3);
9429   MatCheckPreallocated(C,3);
9430   if (C->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9431   if (R->rmap->N!=C->rmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",R->rmap->N,C->rmap->N);
9432   if (R->cmap->N!=A->rmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",R->cmap->N,A->rmap->N);
9433   if (A->rmap->N!=A->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix 'A' must be square, %D != %D",A->rmap->N,A->cmap->N);
9434   if (R->rmap->N!=C->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",R->rmap->N,C->cmap->N);
9435   MatCheckPreallocated(A,1);
9436 
9437   ierr = PetscLogEventBegin(MAT_RARtNumeric,A,R,0,0);CHKERRQ(ierr);
9438   ierr = (*A->ops->rartnumeric)(A,R,C);CHKERRQ(ierr);
9439   ierr = PetscLogEventEnd(MAT_RARtNumeric,A,R,0,0);CHKERRQ(ierr);
9440   PetscFunctionReturn(0);
9441 }
9442 
9443 #undef __FUNCT__
9444 #define __FUNCT__ "MatRARtSymbolic"
9445 /*@
9446    MatRARtSymbolic - Creates the (i,j) structure of the matrix product C = R * A * R^T
9447 
9448    Neighbor-wise Collective on Mat
9449 
9450    Input Parameters:
9451 +  A - the matrix
9452 -  R - the projection matrix
9453 
9454    Output Parameters:
9455 .  C - the (i,j) structure of the product matrix
9456 
9457    Notes:
9458    C will be created and must be destroyed by the user with MatDestroy().
9459 
9460    This routine is currently only implemented for pairs of SeqAIJ matrices and classes
9461    which inherit from SeqAIJ.  C will be of type MATSEQAIJ.  The product is computed using
9462    this (i,j) structure by calling MatRARtNumeric().
9463 
9464    Level: intermediate
9465 
9466 .seealso: MatRARt(), MatRARtNumeric(), MatMatMultSymbolic()
9467 @*/
9468 PetscErrorCode MatRARtSymbolic(Mat A,Mat R,PetscReal fill,Mat *C)
9469 {
9470   PetscErrorCode ierr;
9471 
9472   PetscFunctionBegin;
9473   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
9474   PetscValidType(A,1);
9475   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9476   if (A->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9477   if (fill <1.0) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Expected fill=%g must be >= 1.0",(double)fill);
9478   PetscValidHeaderSpecific(R,MAT_CLASSID,2);
9479   PetscValidType(R,2);
9480   MatCheckPreallocated(R,2);
9481   if (!R->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9482   if (R->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9483   PetscValidPointer(C,3);
9484 
9485   if (R->cmap->N!=A->rmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",R->cmap->N,A->rmap->N);
9486   if (A->rmap->N!=A->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix 'A' must be square, %D != %D",A->rmap->N,A->cmap->N);
9487   MatCheckPreallocated(A,1);
9488   ierr = PetscLogEventBegin(MAT_RARtSymbolic,A,R,0,0);CHKERRQ(ierr);
9489   ierr = (*A->ops->rartsymbolic)(A,R,fill,C);CHKERRQ(ierr);
9490   ierr = PetscLogEventEnd(MAT_RARtSymbolic,A,R,0,0);CHKERRQ(ierr);
9491 
9492   ierr = MatSetBlockSizes(*C,PetscAbs(R->rmap->bs),PetscAbs(R->rmap->bs));CHKERRQ(ierr);
9493   PetscFunctionReturn(0);
9494 }
9495 
9496 #undef __FUNCT__
9497 #define __FUNCT__ "MatMatMult"
9498 /*@
9499    MatMatMult - Performs Matrix-Matrix Multiplication C=A*B.
9500 
9501    Neighbor-wise Collective on Mat
9502 
9503    Input Parameters:
9504 +  A - the left matrix
9505 .  B - the right matrix
9506 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
9507 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if you do not have a good estimate
9508           if the result is a dense matrix this is irrelevent
9509 
9510    Output Parameters:
9511 .  C - the product matrix
9512 
9513    Notes:
9514    Unless scall is MAT_REUSE_MATRIX C will be created.
9515 
9516    MAT_REUSE_MATRIX can only be used if the matrices A and B have the same nonzero pattern as in the previous call
9517 
9518    To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
9519    actually needed.
9520 
9521    If you have many matrices with the same non-zero structure to multiply, you
9522    should either
9523 $   1) use MAT_REUSE_MATRIX in all calls but the first or
9524 $   2) call MatMatMultSymbolic() once and then MatMatMultNumeric() for each product needed
9525    In the special case where matrix B (and hence C) are dense you can create the correctly sized matrix C yourself and then call this routine
9526    with MAT_REUSE_MATRIX, rather than first having MatMatMult() create it for you. You can NEVER do this if the matrix C is sparse.
9527 
9528    Level: intermediate
9529 
9530 .seealso: MatMatMultSymbolic(), MatMatMultNumeric(), MatTransposeMatMult(),  MatMatTransposeMult(), MatPtAP()
9531 @*/
9532 PetscErrorCode MatMatMult(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
9533 {
9534   PetscErrorCode ierr;
9535   PetscErrorCode (*fA)(Mat,Mat,MatReuse,PetscReal,Mat*);
9536   PetscErrorCode (*fB)(Mat,Mat,MatReuse,PetscReal,Mat*);
9537   PetscErrorCode (*mult)(Mat,Mat,MatReuse,PetscReal,Mat*)=NULL;
9538 
9539   PetscFunctionBegin;
9540   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
9541   PetscValidType(A,1);
9542   MatCheckPreallocated(A,1);
9543   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9544   if (A->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9545   PetscValidHeaderSpecific(B,MAT_CLASSID,2);
9546   PetscValidType(B,2);
9547   MatCheckPreallocated(B,2);
9548   if (!B->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9549   if (B->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9550   PetscValidPointer(C,3);
9551   if (B->rmap->N!=A->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
9552   if (scall == MAT_REUSE_MATRIX) {
9553     PetscValidPointer(*C,5);
9554     PetscValidHeaderSpecific(*C,MAT_CLASSID,5);
9555     ierr = PetscLogEventBegin(MAT_MatMult,A,B,0,0);CHKERRQ(ierr);
9556     ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
9557     ierr = (*(*C)->ops->matmultnumeric)(A,B,*C);CHKERRQ(ierr);
9558     ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
9559     ierr = PetscLogEventEnd(MAT_MatMult,A,B,0,0);CHKERRQ(ierr);
9560     PetscFunctionReturn(0);
9561   }
9562   if (fill == PETSC_DEFAULT || fill == PETSC_DECIDE) fill = 2.0;
9563   if (fill < 1.0) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Expected fill=%g must be >= 1.0",(double)fill);
9564 
9565   fA = A->ops->matmult;
9566   fB = B->ops->matmult;
9567   if (fB == fA) {
9568     if (!fB) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"MatMatMult not supported for B of type %s",((PetscObject)B)->type_name);
9569     mult = fB;
9570   } else {
9571     /* dispatch based on the type of A and B from their PetscObject's PetscFunctionLists. */
9572     char multname[256];
9573     ierr = PetscStrcpy(multname,"MatMatMult_");CHKERRQ(ierr);
9574     ierr = PetscStrcat(multname,((PetscObject)A)->type_name);CHKERRQ(ierr);
9575     ierr = PetscStrcat(multname,"_");CHKERRQ(ierr);
9576     ierr = PetscStrcat(multname,((PetscObject)B)->type_name);CHKERRQ(ierr);
9577     ierr = PetscStrcat(multname,"_C");CHKERRQ(ierr); /* e.g., multname = "MatMatMult_seqdense_seqaij_C" */
9578     ierr = PetscObjectQueryFunction((PetscObject)B,multname,&mult);CHKERRQ(ierr);
9579     if (!mult) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_INCOMP,"MatMatMult requires A, %s, to be compatible with B, %s",((PetscObject)A)->type_name,((PetscObject)B)->type_name);
9580   }
9581   ierr = PetscLogEventBegin(MAT_MatMult,A,B,0,0);CHKERRQ(ierr);
9582   ierr = (*mult)(A,B,scall,fill,C);CHKERRQ(ierr);
9583   ierr = PetscLogEventEnd(MAT_MatMult,A,B,0,0);CHKERRQ(ierr);
9584   PetscFunctionReturn(0);
9585 }
9586 
9587 #undef __FUNCT__
9588 #define __FUNCT__ "MatMatMultSymbolic"
9589 /*@
9590    MatMatMultSymbolic - Performs construction, preallocation, and computes the ij structure
9591    of the matrix-matrix product C=A*B.  Call this routine before calling MatMatMultNumeric().
9592 
9593    Neighbor-wise Collective on Mat
9594 
9595    Input Parameters:
9596 +  A - the left matrix
9597 .  B - the right matrix
9598 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if you do not have a good estimate,
9599       if C is a dense matrix this is irrelevent
9600 
9601    Output Parameters:
9602 .  C - the product matrix
9603 
9604    Notes:
9605    Unless scall is MAT_REUSE_MATRIX C will be created.
9606 
9607    To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
9608    actually needed.
9609 
9610    This routine is currently implemented for
9611     - pairs of AIJ matrices and classes which inherit from AIJ, C will be of type AIJ
9612     - pairs of AIJ (A) and Dense (B) matrix, C will be of type Dense.
9613     - pairs of Dense (A) and AIJ (B) matrix, C will be of type Dense.
9614 
9615    Level: intermediate
9616 
9617    Developers Note: There are ways to estimate the number of nonzeros in the resulting product, see for example, http://arxiv.org/abs/1006.4173
9618      We should incorporate them into PETSc.
9619 
9620 .seealso: MatMatMult(), MatMatMultNumeric()
9621 @*/
9622 PetscErrorCode MatMatMultSymbolic(Mat A,Mat B,PetscReal fill,Mat *C)
9623 {
9624   PetscErrorCode ierr;
9625   PetscErrorCode (*Asymbolic)(Mat,Mat,PetscReal,Mat*);
9626   PetscErrorCode (*Bsymbolic)(Mat,Mat,PetscReal,Mat*);
9627   PetscErrorCode (*symbolic)(Mat,Mat,PetscReal,Mat*)=NULL;
9628 
9629   PetscFunctionBegin;
9630   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
9631   PetscValidType(A,1);
9632   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9633   if (A->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9634 
9635   PetscValidHeaderSpecific(B,MAT_CLASSID,2);
9636   PetscValidType(B,2);
9637   MatCheckPreallocated(B,2);
9638   if (!B->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9639   if (B->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9640   PetscValidPointer(C,3);
9641 
9642   if (B->rmap->N!=A->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
9643   if (fill == PETSC_DEFAULT) fill = 2.0;
9644   if (fill < 1.0) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Expected fill=%g must be > 1.0",(double)fill);
9645   MatCheckPreallocated(A,1);
9646 
9647   Asymbolic = A->ops->matmultsymbolic;
9648   Bsymbolic = B->ops->matmultsymbolic;
9649   if (Asymbolic == Bsymbolic) {
9650     if (!Bsymbolic) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"C=A*B not implemented for B of type %s",((PetscObject)B)->type_name);
9651     symbolic = Bsymbolic;
9652   } else { /* dispatch based on the type of A and B */
9653     char symbolicname[256];
9654     ierr = PetscStrcpy(symbolicname,"MatMatMultSymbolic_");CHKERRQ(ierr);
9655     ierr = PetscStrcat(symbolicname,((PetscObject)A)->type_name);CHKERRQ(ierr);
9656     ierr = PetscStrcat(symbolicname,"_");CHKERRQ(ierr);
9657     ierr = PetscStrcat(symbolicname,((PetscObject)B)->type_name);CHKERRQ(ierr);
9658     ierr = PetscStrcat(symbolicname,"_C");CHKERRQ(ierr);
9659     ierr = PetscObjectQueryFunction((PetscObject)B,symbolicname,&symbolic);CHKERRQ(ierr);
9660     if (!symbolic) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_INCOMP,"MatMatMultSymbolic requires A, %s, to be compatible with B, %s",((PetscObject)A)->type_name,((PetscObject)B)->type_name);
9661   }
9662   ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
9663   ierr = (*symbolic)(A,B,fill,C);CHKERRQ(ierr);
9664   ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
9665   PetscFunctionReturn(0);
9666 }
9667 
9668 #undef __FUNCT__
9669 #define __FUNCT__ "MatMatMultNumeric"
9670 /*@
9671    MatMatMultNumeric - Performs the numeric matrix-matrix product.
9672    Call this routine after first calling MatMatMultSymbolic().
9673 
9674    Neighbor-wise Collective on Mat
9675 
9676    Input Parameters:
9677 +  A - the left matrix
9678 -  B - the right matrix
9679 
9680    Output Parameters:
9681 .  C - the product matrix, which was created by from MatMatMultSymbolic() or a call to MatMatMult().
9682 
9683    Notes:
9684    C must have been created with MatMatMultSymbolic().
9685 
9686    This routine is currently implemented for
9687     - pairs of AIJ matrices and classes which inherit from AIJ, C will be of type MATAIJ.
9688     - pairs of AIJ (A) and Dense (B) matrix, C will be of type Dense.
9689     - pairs of Dense (A) and AIJ (B) matrix, C will be of type Dense.
9690 
9691    Level: intermediate
9692 
9693 .seealso: MatMatMult(), MatMatMultSymbolic()
9694 @*/
9695 PetscErrorCode MatMatMultNumeric(Mat A,Mat B,Mat C)
9696 {
9697   PetscErrorCode ierr;
9698 
9699   PetscFunctionBegin;
9700   ierr = MatMatMult(A,B,MAT_REUSE_MATRIX,0.0,&C);CHKERRQ(ierr);
9701   PetscFunctionReturn(0);
9702 }
9703 
9704 #undef __FUNCT__
9705 #define __FUNCT__ "MatMatTransposeMult"
9706 /*@
9707    MatMatTransposeMult - Performs Matrix-Matrix Multiplication C=A*B^T.
9708 
9709    Neighbor-wise Collective on Mat
9710 
9711    Input Parameters:
9712 +  A - the left matrix
9713 .  B - the right matrix
9714 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
9715 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if not known
9716 
9717    Output Parameters:
9718 .  C - the product matrix
9719 
9720    Notes:
9721    C will be created if MAT_INITIAL_MATRIX and must be destroyed by the user with MatDestroy().
9722 
9723    MAT_REUSE_MATRIX can only be used if the matrices A and B have the same nonzero pattern as in the previous call
9724 
9725   To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
9726    actually needed.
9727 
9728    This routine is currently only implemented for pairs of SeqAIJ matrices.  C will be of type MATSEQAIJ.
9729 
9730    Level: intermediate
9731 
9732 .seealso: MatMatTransposeMultSymbolic(), MatMatTransposeMultNumeric(), MatMatMult(), MatTransposeMatMult() MatPtAP()
9733 @*/
9734 PetscErrorCode MatMatTransposeMult(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
9735 {
9736   PetscErrorCode ierr;
9737   PetscErrorCode (*fA)(Mat,Mat,MatReuse,PetscReal,Mat*);
9738   PetscErrorCode (*fB)(Mat,Mat,MatReuse,PetscReal,Mat*);
9739 
9740   PetscFunctionBegin;
9741   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
9742   PetscValidType(A,1);
9743   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9744   if (A->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9745   PetscValidHeaderSpecific(B,MAT_CLASSID,2);
9746   PetscValidType(B,2);
9747   MatCheckPreallocated(B,2);
9748   if (!B->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9749   if (B->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9750   PetscValidPointer(C,3);
9751   if (B->cmap->N!=A->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, AN %D != BN %D",A->cmap->N,B->cmap->N);
9752   if (fill == PETSC_DEFAULT || fill == PETSC_DECIDE) fill = 2.0;
9753   if (fill < 1.0) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Expected fill=%g must be > 1.0",(double)fill);
9754   MatCheckPreallocated(A,1);
9755 
9756   fA = A->ops->mattransposemult;
9757   if (!fA) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"MatMatTransposeMult not supported for A of type %s",((PetscObject)A)->type_name);
9758   fB = B->ops->mattransposemult;
9759   if (!fB) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"MatMatTransposeMult not supported for B of type %s",((PetscObject)B)->type_name);
9760   if (fB!=fA) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_INCOMP,"MatMatTransposeMult requires A, %s, to be compatible with B, %s",((PetscObject)A)->type_name,((PetscObject)B)->type_name);
9761 
9762   ierr = PetscLogEventBegin(MAT_MatTransposeMult,A,B,0,0);CHKERRQ(ierr);
9763   if (scall == MAT_INITIAL_MATRIX) {
9764     ierr = PetscLogEventBegin(MAT_MatTransposeMultSymbolic,A,B,0,0);CHKERRQ(ierr);
9765     ierr = (*A->ops->mattransposemultsymbolic)(A,B,fill,C);CHKERRQ(ierr);
9766     ierr = PetscLogEventEnd(MAT_MatTransposeMultSymbolic,A,B,0,0);CHKERRQ(ierr);
9767   }
9768   ierr = PetscLogEventBegin(MAT_MatTransposeMultNumeric,A,B,0,0);CHKERRQ(ierr);
9769   ierr = (*A->ops->mattransposemultnumeric)(A,B,*C);CHKERRQ(ierr);
9770   ierr = PetscLogEventEnd(MAT_MatTransposeMultNumeric,A,B,0,0);CHKERRQ(ierr);
9771   ierr = PetscLogEventEnd(MAT_MatTransposeMult,A,B,0,0);CHKERRQ(ierr);
9772   PetscFunctionReturn(0);
9773 }
9774 
9775 #undef __FUNCT__
9776 #define __FUNCT__ "MatTransposeMatMult"
9777 /*@
9778    MatTransposeMatMult - Performs Matrix-Matrix Multiplication C=A^T*B.
9779 
9780    Neighbor-wise Collective on Mat
9781 
9782    Input Parameters:
9783 +  A - the left matrix
9784 .  B - the right matrix
9785 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
9786 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if not known
9787 
9788    Output Parameters:
9789 .  C - the product matrix
9790 
9791    Notes:
9792    C will be created if MAT_INITIAL_MATRIX and must be destroyed by the user with MatDestroy().
9793 
9794    MAT_REUSE_MATRIX can only be used if the matrices A and B have the same nonzero pattern as in the previous call
9795 
9796   To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
9797    actually needed.
9798 
9799    This routine is currently implemented for pairs of AIJ matrices and pairs of SeqDense matrices and classes
9800    which inherit from SeqAIJ.  C will be of same type as the input matrices.
9801 
9802    Level: intermediate
9803 
9804 .seealso: MatTransposeMatMultSymbolic(), MatTransposeMatMultNumeric(), MatMatMult(), MatMatTransposeMult(), MatPtAP()
9805 @*/
9806 PetscErrorCode MatTransposeMatMult(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
9807 {
9808   PetscErrorCode ierr;
9809   PetscErrorCode (*fA)(Mat,Mat,MatReuse,PetscReal,Mat*);
9810   PetscErrorCode (*fB)(Mat,Mat,MatReuse,PetscReal,Mat*);
9811   PetscErrorCode (*transposematmult)(Mat,Mat,MatReuse,PetscReal,Mat*) = NULL;
9812 
9813   PetscFunctionBegin;
9814   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
9815   PetscValidType(A,1);
9816   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9817   if (A->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9818   PetscValidHeaderSpecific(B,MAT_CLASSID,2);
9819   PetscValidType(B,2);
9820   MatCheckPreallocated(B,2);
9821   if (!B->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9822   if (B->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9823   PetscValidPointer(C,3);
9824   if (B->rmap->N!=A->rmap->N) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->rmap->N);
9825   if (fill == PETSC_DEFAULT || fill == PETSC_DECIDE) fill = 2.0;
9826   if (fill < 1.0) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Expected fill=%g must be > 1.0",(double)fill);
9827   MatCheckPreallocated(A,1);
9828 
9829   fA = A->ops->transposematmult;
9830   fB = B->ops->transposematmult;
9831   if (fB==fA) {
9832     if (!fA) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"MatTransposeMatMult not supported for A of type %s",((PetscObject)A)->type_name);
9833     transposematmult = fA;
9834   } else {
9835     /* dispatch based on the type of A and B from their PetscObject's PetscFunctionLists. */
9836     char multname[256];
9837     ierr = PetscStrcpy(multname,"MatTransposeMatMult_");CHKERRQ(ierr);
9838     ierr = PetscStrcat(multname,((PetscObject)A)->type_name);CHKERRQ(ierr);
9839     ierr = PetscStrcat(multname,"_");CHKERRQ(ierr);
9840     ierr = PetscStrcat(multname,((PetscObject)B)->type_name);CHKERRQ(ierr);
9841     ierr = PetscStrcat(multname,"_C");CHKERRQ(ierr); /* e.g., multname = "MatMatMult_seqdense_seqaij_C" */
9842     ierr = PetscObjectQueryFunction((PetscObject)B,multname,&transposematmult);CHKERRQ(ierr);
9843     if (!transposematmult) SETERRQ2(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_INCOMP,"MatTransposeMatMult requires A, %s, to be compatible with B, %s",((PetscObject)A)->type_name,((PetscObject)B)->type_name);
9844   }
9845   ierr = PetscLogEventBegin(MAT_TransposeMatMult,A,B,0,0);CHKERRQ(ierr);
9846   ierr = (*transposematmult)(A,B,scall,fill,C);CHKERRQ(ierr);
9847   ierr = PetscLogEventEnd(MAT_TransposeMatMult,A,B,0,0);CHKERRQ(ierr);
9848   PetscFunctionReturn(0);
9849 }
9850 
9851 #undef __FUNCT__
9852 #define __FUNCT__ "MatMatMatMult"
9853 /*@
9854    MatMatMatMult - Performs Matrix-Matrix-Matrix Multiplication D=A*B*C.
9855 
9856    Neighbor-wise Collective on Mat
9857 
9858    Input Parameters:
9859 +  A - the left matrix
9860 .  B - the middle matrix
9861 .  C - the right matrix
9862 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
9863 -  fill - expected fill as ratio of nnz(D)/(nnz(A) + nnz(B)+nnz(C)), use PETSC_DEFAULT if you do not have a good estimate
9864           if the result is a dense matrix this is irrelevent
9865 
9866    Output Parameters:
9867 .  D - the product matrix
9868 
9869    Notes:
9870    Unless scall is MAT_REUSE_MATRIX D will be created.
9871 
9872    MAT_REUSE_MATRIX can only be used if the matrices A, B and C have the same nonzero pattern as in the previous call
9873 
9874    To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
9875    actually needed.
9876 
9877    If you have many matrices with the same non-zero structure to multiply, you
9878    should use MAT_REUSE_MATRIX in all calls but the first or
9879 
9880    Level: intermediate
9881 
9882 .seealso: MatMatMult, MatPtAP()
9883 @*/
9884 PetscErrorCode MatMatMatMult(Mat A,Mat B,Mat C,MatReuse scall,PetscReal fill,Mat *D)
9885 {
9886   PetscErrorCode ierr;
9887   PetscErrorCode (*fA)(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
9888   PetscErrorCode (*fB)(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
9889   PetscErrorCode (*fC)(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
9890   PetscErrorCode (*mult)(Mat,Mat,Mat,MatReuse,PetscReal,Mat*)=NULL;
9891 
9892   PetscFunctionBegin;
9893   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
9894   PetscValidType(A,1);
9895   MatCheckPreallocated(A,1);
9896   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9897   if (A->factortype) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9898   PetscValidHeaderSpecific(B,MAT_CLASSID,2);
9899   PetscValidType(B,2);
9900   MatCheckPreallocated(B,2);
9901   if (!B->assembled) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9902   if (B->factortype) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9903   PetscValidHeaderSpecific(C,MAT_CLASSID,3);
9904   PetscValidPointer(C,3);
9905   MatCheckPreallocated(C,3);
9906   if (!C->assembled) SETERRQ(PetscObjectComm((PetscObject)C),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
9907   if (C->factortype) SETERRQ(PetscObjectComm((PetscObject)C),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
9908   if (B->rmap->N!=A->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
9909   if (C->rmap->N!=B->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)C),PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",C->rmap->N,B->cmap->N);
9910   if (scall == MAT_REUSE_MATRIX) {
9911     PetscValidPointer(*D,6);
9912     PetscValidHeaderSpecific(*D,MAT_CLASSID,6);
9913     ierr = PetscLogEventBegin(MAT_MatMatMult,A,B,0,0);CHKERRQ(ierr);
9914     ierr = (*(*D)->ops->matmatmult)(A,B,C,scall,fill,D);CHKERRQ(ierr);
9915     ierr = PetscLogEventEnd(MAT_MatMatMult,A,B,0,0);CHKERRQ(ierr);
9916     PetscFunctionReturn(0);
9917   }
9918   if (fill == PETSC_DEFAULT || fill == PETSC_DECIDE) fill = 2.0;
9919   if (fill < 1.0) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Expected fill=%g must be >= 1.0",(double)fill);
9920 
9921   fA = A->ops->matmatmult;
9922   fB = B->ops->matmatmult;
9923   fC = C->ops->matmatmult;
9924   if (fA == fB && fA == fC) {
9925     if (!fA) SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"MatMatMatMult not supported for A of type %s",((PetscObject)A)->type_name);
9926     mult = fA;
9927   } else {
9928     /* dispatch based on the type of A, B and C from their PetscObject's PetscFunctionLists. */
9929     char multname[256];
9930     ierr = PetscStrcpy(multname,"MatMatMatMult_");CHKERRQ(ierr);
9931     ierr = PetscStrcat(multname,((PetscObject)A)->type_name);CHKERRQ(ierr);
9932     ierr = PetscStrcat(multname,"_");CHKERRQ(ierr);
9933     ierr = PetscStrcat(multname,((PetscObject)B)->type_name);CHKERRQ(ierr);
9934     ierr = PetscStrcat(multname,"_");CHKERRQ(ierr);
9935     ierr = PetscStrcat(multname,((PetscObject)C)->type_name);CHKERRQ(ierr);
9936     ierr = PetscStrcat(multname,"_C");CHKERRQ(ierr);
9937     ierr = PetscObjectQueryFunction((PetscObject)B,multname,&mult);CHKERRQ(ierr);
9938     if (!mult) SETERRQ3(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_INCOMP,"MatMatMatMult requires A, %s, to be compatible with B, %s, C, %s",((PetscObject)A)->type_name,((PetscObject)B)->type_name,((PetscObject)C)->type_name);
9939   }
9940   ierr = PetscLogEventBegin(MAT_MatMatMult,A,B,0,0);CHKERRQ(ierr);
9941   ierr = (*mult)(A,B,C,scall,fill,D);CHKERRQ(ierr);
9942   ierr = PetscLogEventEnd(MAT_MatMatMult,A,B,0,0);CHKERRQ(ierr);
9943   PetscFunctionReturn(0);
9944 }
9945 
9946 #undef __FUNCT__
9947 #define __FUNCT__ "MatCreateRedundantMatrix"
9948 /*@
9949    MatCreateRedundantMatrix - Create redundant matrices and put them into processors of subcommunicators.
9950 
9951    Collective on Mat
9952 
9953    Input Parameters:
9954 +  mat - the matrix
9955 .  nsubcomm - the number of subcommunicators (= number of redundant parallel or sequential matrices)
9956 .  subcomm - MPI communicator split from the communicator where mat resides in (or MPI_COMM_NULL if nsubcomm is used)
9957 -  reuse - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
9958 
9959    Output Parameter:
9960 .  matredundant - redundant matrix
9961 
9962    Notes:
9963    MAT_REUSE_MATRIX can only be used when the nonzero structure of the
9964    original matrix has not changed from that last call to MatCreateRedundantMatrix().
9965 
9966    This routine creates the duplicated matrices in subcommunicators; you should NOT create them before
9967    calling it.
9968 
9969    Level: advanced
9970 
9971    Concepts: subcommunicator
9972    Concepts: duplicate matrix
9973 
9974 .seealso: MatDestroy()
9975 @*/
9976 PetscErrorCode MatCreateRedundantMatrix(Mat mat,PetscInt nsubcomm,MPI_Comm subcomm,MatReuse reuse,Mat *matredundant)
9977 {
9978   PetscErrorCode ierr;
9979   MPI_Comm       comm;
9980   PetscMPIInt    size;
9981   PetscInt       mloc_sub,rstart,rend,M=mat->rmap->N,N=mat->cmap->N,bs=mat->rmap->bs;
9982   Mat_Redundant  *redund=NULL;
9983   PetscSubcomm   psubcomm=NULL;
9984   MPI_Comm       subcomm_in=subcomm;
9985   Mat            *matseq;
9986   IS             isrow,iscol;
9987   PetscBool      newsubcomm=PETSC_FALSE;
9988 
9989   PetscFunctionBegin;
9990   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)mat),&size);CHKERRQ(ierr);
9991   if (size == 1 || nsubcomm == 1) {
9992     if (reuse == MAT_INITIAL_MATRIX) {
9993       ierr = MatDuplicate(mat,MAT_COPY_VALUES,matredundant);CHKERRQ(ierr);
9994     } else {
9995       ierr = MatCopy(mat,*matredundant,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
9996     }
9997     PetscFunctionReturn(0);
9998   }
9999 
10000   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
10001   if (nsubcomm && reuse == MAT_REUSE_MATRIX) {
10002     PetscValidPointer(*matredundant,5);
10003     PetscValidHeaderSpecific(*matredundant,MAT_CLASSID,5);
10004   }
10005   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
10006   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
10007   MatCheckPreallocated(mat,1);
10008 
10009   ierr = PetscLogEventBegin(MAT_RedundantMat,mat,0,0,0);CHKERRQ(ierr);
10010   if (subcomm_in == MPI_COMM_NULL && reuse == MAT_INITIAL_MATRIX) { /* get subcomm if user does not provide subcomm */
10011     /* create psubcomm, then get subcomm */
10012     ierr = PetscObjectGetComm((PetscObject)mat,&comm);CHKERRQ(ierr);
10013     ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
10014     if (nsubcomm < 1 || nsubcomm > size) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"nsubcomm must between 1 and %D",size);
10015 
10016     ierr = PetscSubcommCreate(comm,&psubcomm);CHKERRQ(ierr);
10017     ierr = PetscSubcommSetNumber(psubcomm,nsubcomm);CHKERRQ(ierr);
10018     ierr = PetscSubcommSetType(psubcomm,PETSC_SUBCOMM_CONTIGUOUS);CHKERRQ(ierr);
10019     ierr = PetscSubcommSetFromOptions(psubcomm);CHKERRQ(ierr);
10020     ierr = PetscCommDuplicate(PetscSubcommChild(psubcomm),&subcomm,NULL);CHKERRQ(ierr);
10021     newsubcomm = PETSC_TRUE;
10022     ierr = PetscSubcommDestroy(&psubcomm);CHKERRQ(ierr);
10023   }
10024 
10025   /* get isrow, iscol and a local sequential matrix matseq[0] */
10026   if (reuse == MAT_INITIAL_MATRIX) {
10027     mloc_sub = PETSC_DECIDE;
10028     if (bs < 1) {
10029       ierr = PetscSplitOwnership(subcomm,&mloc_sub,&M);CHKERRQ(ierr);
10030     } else {
10031       ierr = PetscSplitOwnershipBlock(subcomm,bs,&mloc_sub,&M);CHKERRQ(ierr);
10032     }
10033     ierr = MPI_Scan(&mloc_sub,&rend,1,MPIU_INT,MPI_SUM,subcomm);CHKERRQ(ierr);
10034     rstart = rend - mloc_sub;
10035     ierr = ISCreateStride(PETSC_COMM_SELF,mloc_sub,rstart,1,&isrow);CHKERRQ(ierr);
10036     ierr = ISCreateStride(PETSC_COMM_SELF,N,0,1,&iscol);CHKERRQ(ierr);
10037   } else { /* reuse == MAT_REUSE_MATRIX */
10038     /* retrieve subcomm */
10039     ierr = PetscObjectGetComm((PetscObject)(*matredundant),&subcomm);CHKERRQ(ierr);
10040     redund = (*matredundant)->redundant;
10041     isrow  = redund->isrow;
10042     iscol  = redund->iscol;
10043     matseq = redund->matseq;
10044   }
10045   ierr = MatGetSubMatrices(mat,1,&isrow,&iscol,reuse,&matseq);CHKERRQ(ierr);
10046 
10047   /* get matredundant over subcomm */
10048   if (reuse == MAT_INITIAL_MATRIX) {
10049     ierr = MatCreateMPIMatConcatenateSeqMat(subcomm,matseq[0],mloc_sub,reuse,matredundant);CHKERRQ(ierr);
10050 
10051     /* create a supporting struct and attach it to C for reuse */
10052     ierr = PetscNewLog(*matredundant,&redund);CHKERRQ(ierr);
10053     (*matredundant)->redundant = redund;
10054     redund->isrow              = isrow;
10055     redund->iscol              = iscol;
10056     redund->matseq             = matseq;
10057     if (newsubcomm) {
10058       redund->subcomm          = subcomm;
10059     } else {
10060       redund->subcomm          = MPI_COMM_NULL;
10061     }
10062   } else {
10063     ierr = MatCreateMPIMatConcatenateSeqMat(subcomm,matseq[0],PETSC_DECIDE,reuse,matredundant);CHKERRQ(ierr);
10064   }
10065   ierr = PetscLogEventEnd(MAT_RedundantMat,mat,0,0,0);CHKERRQ(ierr);
10066   PetscFunctionReturn(0);
10067 }
10068 
10069 #undef __FUNCT__
10070 #define __FUNCT__ "MatGetMultiProcBlock"
10071 /*@C
10072    MatGetMultiProcBlock - Create multiple [bjacobi] 'parallel submatrices' from
10073    a given 'mat' object. Each submatrix can span multiple procs.
10074 
10075    Collective on Mat
10076 
10077    Input Parameters:
10078 +  mat - the matrix
10079 .  subcomm - the subcommunicator obtained by com_split(comm)
10080 -  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
10081 
10082    Output Parameter:
10083 .  subMat - 'parallel submatrices each spans a given subcomm
10084 
10085   Notes:
10086   The submatrix partition across processors is dictated by 'subComm' a
10087   communicator obtained by com_split(comm). The comm_split
10088   is not restriced to be grouped with consecutive original ranks.
10089 
10090   Due the comm_split() usage, the parallel layout of the submatrices
10091   map directly to the layout of the original matrix [wrt the local
10092   row,col partitioning]. So the original 'DiagonalMat' naturally maps
10093   into the 'DiagonalMat' of the subMat, hence it is used directly from
10094   the subMat. However the offDiagMat looses some columns - and this is
10095   reconstructed with MatSetValues()
10096 
10097   Level: advanced
10098 
10099   Concepts: subcommunicator
10100   Concepts: submatrices
10101 
10102 .seealso: MatGetSubMatrices()
10103 @*/
10104 PetscErrorCode   MatGetMultiProcBlock(Mat mat, MPI_Comm subComm, MatReuse scall,Mat *subMat)
10105 {
10106   PetscErrorCode ierr;
10107   PetscMPIInt    commsize,subCommSize;
10108 
10109   PetscFunctionBegin;
10110   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)mat),&commsize);CHKERRQ(ierr);
10111   ierr = MPI_Comm_size(subComm,&subCommSize);CHKERRQ(ierr);
10112   if (subCommSize > commsize) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_OUTOFRANGE,"CommSize %D < SubCommZize %D",commsize,subCommSize);
10113 
10114   ierr = PetscLogEventBegin(MAT_GetMultiProcBlock,mat,0,0,0);CHKERRQ(ierr);
10115   ierr = (*mat->ops->getmultiprocblock)(mat,subComm,scall,subMat);CHKERRQ(ierr);
10116   ierr = PetscLogEventEnd(MAT_GetMultiProcBlock,mat,0,0,0);CHKERRQ(ierr);
10117   PetscFunctionReturn(0);
10118 }
10119 
10120 #undef __FUNCT__
10121 #define __FUNCT__ "MatGetLocalSubMatrix"
10122 /*@
10123    MatGetLocalSubMatrix - Gets a reference to a submatrix specified in local numbering
10124 
10125    Not Collective
10126 
10127    Input Arguments:
10128    mat - matrix to extract local submatrix from
10129    isrow - local row indices for submatrix
10130    iscol - local column indices for submatrix
10131 
10132    Output Arguments:
10133    submat - the submatrix
10134 
10135    Level: intermediate
10136 
10137    Notes:
10138    The submat should be returned with MatRestoreLocalSubMatrix().
10139 
10140    Depending on the format of mat, the returned submat may not implement MatMult().  Its communicator may be
10141    the same as mat, it may be PETSC_COMM_SELF, or some other subcomm of mat's.
10142 
10143    The submat always implements MatSetValuesLocal().  If isrow and iscol have the same block size, then
10144    MatSetValuesBlockedLocal() will also be implemented.
10145 
10146    The mat must have had a ISLocalToGlobalMapping provided to it with MatSetLocalToGlobalMapping(). Note that
10147    matrices obtained with DMCreateMat() generally already have the local to global mapping provided.
10148 
10149 .seealso: MatRestoreLocalSubMatrix(), MatCreateLocalRef(), MatSetLocalToGlobalMapping()
10150 @*/
10151 PetscErrorCode MatGetLocalSubMatrix(Mat mat,IS isrow,IS iscol,Mat *submat)
10152 {
10153   PetscErrorCode ierr;
10154 
10155   PetscFunctionBegin;
10156   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
10157   PetscValidHeaderSpecific(isrow,IS_CLASSID,2);
10158   PetscValidHeaderSpecific(iscol,IS_CLASSID,3);
10159   PetscCheckSameComm(isrow,2,iscol,3);
10160   PetscValidPointer(submat,4);
10161   if (!mat->rmap->mapping) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Matrix must have local to global mapping provided before this call");
10162 
10163   if (mat->ops->getlocalsubmatrix) {
10164     ierr = (*mat->ops->getlocalsubmatrix)(mat,isrow,iscol,submat);CHKERRQ(ierr);
10165   } else {
10166     ierr = MatCreateLocalRef(mat,isrow,iscol,submat);CHKERRQ(ierr);
10167   }
10168   PetscFunctionReturn(0);
10169 }
10170 
10171 #undef __FUNCT__
10172 #define __FUNCT__ "MatRestoreLocalSubMatrix"
10173 /*@
10174    MatRestoreLocalSubMatrix - Restores a reference to a submatrix specified in local numbering
10175 
10176    Not Collective
10177 
10178    Input Arguments:
10179    mat - matrix to extract local submatrix from
10180    isrow - local row indices for submatrix
10181    iscol - local column indices for submatrix
10182    submat - the submatrix
10183 
10184    Level: intermediate
10185 
10186 .seealso: MatGetLocalSubMatrix()
10187 @*/
10188 PetscErrorCode MatRestoreLocalSubMatrix(Mat mat,IS isrow,IS iscol,Mat *submat)
10189 {
10190   PetscErrorCode ierr;
10191 
10192   PetscFunctionBegin;
10193   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
10194   PetscValidHeaderSpecific(isrow,IS_CLASSID,2);
10195   PetscValidHeaderSpecific(iscol,IS_CLASSID,3);
10196   PetscCheckSameComm(isrow,2,iscol,3);
10197   PetscValidPointer(submat,4);
10198   if (*submat) {
10199     PetscValidHeaderSpecific(*submat,MAT_CLASSID,4);
10200   }
10201 
10202   if (mat->ops->restorelocalsubmatrix) {
10203     ierr = (*mat->ops->restorelocalsubmatrix)(mat,isrow,iscol,submat);CHKERRQ(ierr);
10204   } else {
10205     ierr = MatDestroy(submat);CHKERRQ(ierr);
10206   }
10207   *submat = NULL;
10208   PetscFunctionReturn(0);
10209 }
10210 
10211 /* --------------------------------------------------------*/
10212 #undef __FUNCT__
10213 #define __FUNCT__ "MatFindZeroDiagonals"
10214 /*@
10215    MatFindZeroDiagonals - Finds all the rows of a matrix that have zero or no entry in the matrix
10216 
10217    Collective on Mat
10218 
10219    Input Parameter:
10220 .  mat - the matrix
10221 
10222    Output Parameter:
10223 .  is - if any rows have zero diagonals this contains the list of them
10224 
10225    Level: developer
10226 
10227    Concepts: matrix-vector product
10228 
10229 .seealso: MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
10230 @*/
10231 PetscErrorCode MatFindZeroDiagonals(Mat mat,IS *is)
10232 {
10233   PetscErrorCode ierr;
10234 
10235   PetscFunctionBegin;
10236   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
10237   PetscValidType(mat,1);
10238   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
10239   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
10240 
10241   if (!mat->ops->findzerodiagonals) {
10242     Vec                diag;
10243     const PetscScalar *a;
10244     PetscInt          *rows;
10245     PetscInt           rStart, rEnd, r, nrow = 0;
10246 
10247     ierr = MatCreateVecs(mat, &diag, NULL);CHKERRQ(ierr);
10248     ierr = MatGetDiagonal(mat, diag);CHKERRQ(ierr);
10249     ierr = MatGetOwnershipRange(mat, &rStart, &rEnd);CHKERRQ(ierr);
10250     ierr = VecGetArrayRead(diag, &a);CHKERRQ(ierr);
10251     for (r = 0; r < rEnd-rStart; ++r) if (a[r] == 0.0) ++nrow;
10252     ierr = PetscMalloc1(nrow, &rows);CHKERRQ(ierr);
10253     nrow = 0;
10254     for (r = 0; r < rEnd-rStart; ++r) if (a[r] == 0.0) rows[nrow++] = r+rStart;
10255     ierr = VecRestoreArrayRead(diag, &a);CHKERRQ(ierr);
10256     ierr = VecDestroy(&diag);CHKERRQ(ierr);
10257     ierr = ISCreateGeneral(PetscObjectComm((PetscObject) mat), nrow, rows, PETSC_OWN_POINTER, is);CHKERRQ(ierr);
10258   } else {
10259     ierr = (*mat->ops->findzerodiagonals)(mat, is);CHKERRQ(ierr);
10260   }
10261   PetscFunctionReturn(0);
10262 }
10263 
10264 #undef __FUNCT__
10265 #define __FUNCT__ "MatFindOffBlockDiagonalEntries"
10266 /*@
10267    MatFindOffBlockDiagonalEntries - Finds all the rows of a matrix that have entries outside of the main diagonal block (defined by the matrix block size)
10268 
10269    Collective on Mat
10270 
10271    Input Parameter:
10272 .  mat - the matrix
10273 
10274    Output Parameter:
10275 .  is - contains the list of rows with off block diagonal entries
10276 
10277    Level: developer
10278 
10279    Concepts: matrix-vector product
10280 
10281 .seealso: MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
10282 @*/
10283 PetscErrorCode MatFindOffBlockDiagonalEntries(Mat mat,IS *is)
10284 {
10285   PetscErrorCode ierr;
10286 
10287   PetscFunctionBegin;
10288   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
10289   PetscValidType(mat,1);
10290   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
10291   if (mat->factortype) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
10292 
10293   if (!mat->ops->findoffblockdiagonalentries) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"This matrix type does not have a find off block diagonal entries defined");
10294   ierr = (*mat->ops->findoffblockdiagonalentries)(mat,is);CHKERRQ(ierr);
10295   PetscFunctionReturn(0);
10296 }
10297 
10298 #undef __FUNCT__
10299 #define __FUNCT__ "MatInvertBlockDiagonal"
10300 /*@C
10301   MatInvertBlockDiagonal - Inverts the block diagonal entries.
10302 
10303   Collective on Mat
10304 
10305   Input Parameters:
10306 . mat - the matrix
10307 
10308   Output Parameters:
10309 . values - the block inverses in column major order (FORTRAN-like)
10310 
10311    Note:
10312    This routine is not available from Fortran.
10313 
10314   Level: advanced
10315 @*/
10316 PetscErrorCode MatInvertBlockDiagonal(Mat mat,const PetscScalar **values)
10317 {
10318   PetscErrorCode ierr;
10319 
10320   PetscFunctionBegin;
10321   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
10322   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
10323   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
10324   if (!mat->ops->invertblockdiagonal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not supported");
10325   ierr = (*mat->ops->invertblockdiagonal)(mat,values);CHKERRQ(ierr);
10326   PetscFunctionReturn(0);
10327 }
10328 
10329 #undef __FUNCT__
10330 #define __FUNCT__ "MatTransposeColoringDestroy"
10331 /*@C
10332     MatTransposeColoringDestroy - Destroys a coloring context for matrix product C=A*B^T that was created
10333     via MatTransposeColoringCreate().
10334 
10335     Collective on MatTransposeColoring
10336 
10337     Input Parameter:
10338 .   c - coloring context
10339 
10340     Level: intermediate
10341 
10342 .seealso: MatTransposeColoringCreate()
10343 @*/
10344 PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *c)
10345 {
10346   PetscErrorCode       ierr;
10347   MatTransposeColoring matcolor=*c;
10348 
10349   PetscFunctionBegin;
10350   if (!matcolor) PetscFunctionReturn(0);
10351   if (--((PetscObject)matcolor)->refct > 0) {matcolor = 0; PetscFunctionReturn(0);}
10352 
10353   ierr = PetscFree3(matcolor->ncolumns,matcolor->nrows,matcolor->colorforrow);CHKERRQ(ierr);
10354   ierr = PetscFree(matcolor->rows);CHKERRQ(ierr);
10355   ierr = PetscFree(matcolor->den2sp);CHKERRQ(ierr);
10356   ierr = PetscFree(matcolor->colorforcol);CHKERRQ(ierr);
10357   ierr = PetscFree(matcolor->columns);CHKERRQ(ierr);
10358   if (matcolor->brows>0) {
10359     ierr = PetscFree(matcolor->lstart);CHKERRQ(ierr);
10360   }
10361   ierr = PetscHeaderDestroy(c);CHKERRQ(ierr);
10362   PetscFunctionReturn(0);
10363 }
10364 
10365 #undef __FUNCT__
10366 #define __FUNCT__ "MatTransColoringApplySpToDen"
10367 /*@C
10368     MatTransColoringApplySpToDen - Given a symbolic matrix product C=A*B^T for which
10369     a MatTransposeColoring context has been created, computes a dense B^T by Apply
10370     MatTransposeColoring to sparse B.
10371 
10372     Collective on MatTransposeColoring
10373 
10374     Input Parameters:
10375 +   B - sparse matrix B
10376 .   Btdense - symbolic dense matrix B^T
10377 -   coloring - coloring context created with MatTransposeColoringCreate()
10378 
10379     Output Parameter:
10380 .   Btdense - dense matrix B^T
10381 
10382     Options Database Keys:
10383 +    -mat_transpose_coloring_view - Activates basic viewing or coloring
10384 .    -mat_transpose_coloring_view_draw - Activates drawing of coloring
10385 -    -mat_transpose_coloring_view_info - Activates viewing of coloring info
10386 
10387     Level: intermediate
10388 
10389 .seealso: MatTransposeColoringCreate(), MatTransposeColoringDestroy()
10390 
10391 .keywords: coloring
10392 @*/
10393 PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring coloring,Mat B,Mat Btdense)
10394 {
10395   PetscErrorCode ierr;
10396 
10397   PetscFunctionBegin;
10398   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
10399   PetscValidHeaderSpecific(Btdense,MAT_CLASSID,2);
10400   PetscValidHeaderSpecific(coloring,MAT_TRANSPOSECOLORING_CLASSID,3);
10401 
10402   if (!B->ops->transcoloringapplysptoden) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not supported for this matrix type %s",((PetscObject)B)->type_name);
10403   ierr = (B->ops->transcoloringapplysptoden)(coloring,B,Btdense);CHKERRQ(ierr);
10404   PetscFunctionReturn(0);
10405 }
10406 
10407 #undef __FUNCT__
10408 #define __FUNCT__ "MatTransColoringApplyDenToSp"
10409 /*@C
10410     MatTransColoringApplyDenToSp - Given a symbolic matrix product Csp=A*B^T for which
10411     a MatTransposeColoring context has been created and a dense matrix Cden=A*Btdense
10412     in which Btdens is obtained from MatTransColoringApplySpToDen(), recover sparse matrix
10413     Csp from Cden.
10414 
10415     Collective on MatTransposeColoring
10416 
10417     Input Parameters:
10418 +   coloring - coloring context created with MatTransposeColoringCreate()
10419 -   Cden - matrix product of a sparse matrix and a dense matrix Btdense
10420 
10421     Output Parameter:
10422 .   Csp - sparse matrix
10423 
10424     Options Database Keys:
10425 +    -mat_multtranspose_coloring_view - Activates basic viewing or coloring
10426 .    -mat_multtranspose_coloring_view_draw - Activates drawing of coloring
10427 -    -mat_multtranspose_coloring_view_info - Activates viewing of coloring info
10428 
10429     Level: intermediate
10430 
10431 .seealso: MatTransposeColoringCreate(), MatTransposeColoringDestroy(), MatTransColoringApplySpToDen()
10432 
10433 .keywords: coloring
10434 @*/
10435 PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring matcoloring,Mat Cden,Mat Csp)
10436 {
10437   PetscErrorCode ierr;
10438 
10439   PetscFunctionBegin;
10440   PetscValidHeaderSpecific(matcoloring,MAT_TRANSPOSECOLORING_CLASSID,1);
10441   PetscValidHeaderSpecific(Cden,MAT_CLASSID,2);
10442   PetscValidHeaderSpecific(Csp,MAT_CLASSID,3);
10443 
10444   if (!Csp->ops->transcoloringapplydentosp) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not supported for this matrix type %s",((PetscObject)Csp)->type_name);
10445   ierr = (Csp->ops->transcoloringapplydentosp)(matcoloring,Cden,Csp);CHKERRQ(ierr);
10446   PetscFunctionReturn(0);
10447 }
10448 
10449 #undef __FUNCT__
10450 #define __FUNCT__ "MatTransposeColoringCreate"
10451 /*@C
10452    MatTransposeColoringCreate - Creates a matrix coloring context for matrix product C=A*B^T.
10453 
10454    Collective on Mat
10455 
10456    Input Parameters:
10457 +  mat - the matrix product C
10458 -  iscoloring - the coloring of the matrix; usually obtained with MatColoringCreate() or DMCreateColoring()
10459 
10460     Output Parameter:
10461 .   color - the new coloring context
10462 
10463     Level: intermediate
10464 
10465 .seealso: MatTransposeColoringDestroy(), MatTransposeColoringSetFromOptions(), MatTransColoringApplySpToDen(),
10466            MatTransColoringApplyDenToSp(), MatTransposeColoringView(),
10467 @*/
10468 PetscErrorCode MatTransposeColoringCreate(Mat mat,ISColoring iscoloring,MatTransposeColoring *color)
10469 {
10470   MatTransposeColoring c;
10471   MPI_Comm             comm;
10472   PetscErrorCode       ierr;
10473 
10474   PetscFunctionBegin;
10475   ierr = PetscLogEventBegin(MAT_TransposeColoringCreate,mat,0,0,0);CHKERRQ(ierr);
10476   ierr = PetscObjectGetComm((PetscObject)mat,&comm);CHKERRQ(ierr);
10477   ierr = PetscHeaderCreate(c,MAT_TRANSPOSECOLORING_CLASSID,"MatTransposeColoring","Matrix product C=A*B^T via coloring","Mat",comm,MatTransposeColoringDestroy,NULL);CHKERRQ(ierr);
10478 
10479   c->ctype = iscoloring->ctype;
10480   if (mat->ops->transposecoloringcreate) {
10481     ierr = (*mat->ops->transposecoloringcreate)(mat,iscoloring,c);CHKERRQ(ierr);
10482   } else SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Code not yet written for this matrix type");
10483 
10484   *color = c;
10485   ierr   = PetscLogEventEnd(MAT_TransposeColoringCreate,mat,0,0,0);CHKERRQ(ierr);
10486   PetscFunctionReturn(0);
10487 }
10488 
10489 #undef __FUNCT__
10490 #define __FUNCT__ "MatGetNonzeroState"
10491 /*@
10492       MatGetNonzeroState - Returns a 64 bit integer representing the current state of nonzeros in the matrix. If the
10493         matrix has had no new nonzero locations added to the matrix since the previous call then the value will be the
10494         same, otherwise it will be larger
10495 
10496      Not Collective
10497 
10498   Input Parameter:
10499 .    A  - the matrix
10500 
10501   Output Parameter:
10502 .    state - the current state
10503 
10504   Notes: You can only compare states from two different calls to the SAME matrix, you cannot compare calls between
10505          different matrices
10506 
10507   Level: intermediate
10508 
10509 @*/
10510 PetscErrorCode MatGetNonzeroState(Mat mat,PetscObjectState *state)
10511 {
10512   PetscFunctionBegin;
10513   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
10514   *state = mat->nonzerostate;
10515   PetscFunctionReturn(0);
10516 }
10517 
10518 #undef __FUNCT__
10519 #define __FUNCT__ "MatCreateMPIMatConcatenateSeqMat"
10520 /*@
10521       MatCreateMPIMatConcatenateSeqMat - Creates a single large PETSc matrix by concatenating sequential
10522                  matrices from each processor
10523 
10524     Collective on MPI_Comm
10525 
10526    Input Parameters:
10527 +    comm - the communicators the parallel matrix will live on
10528 .    seqmat - the input sequential matrices
10529 .    n - number of local columns (or PETSC_DECIDE)
10530 -    reuse - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
10531 
10532    Output Parameter:
10533 .    mpimat - the parallel matrix generated
10534 
10535     Level: advanced
10536 
10537    Notes: The number of columns of the matrix in EACH processor MUST be the same.
10538 
10539 @*/
10540 PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm comm,Mat seqmat,PetscInt n,MatReuse reuse,Mat *mpimat)
10541 {
10542   PetscErrorCode ierr;
10543   PetscMPIInt    size;
10544 
10545   PetscFunctionBegin;
10546   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
10547   if (size == 1) {
10548     if (reuse == MAT_INITIAL_MATRIX) {
10549       ierr = MatDuplicate(seqmat,MAT_COPY_VALUES,mpimat);CHKERRQ(ierr);
10550     } else {
10551       ierr = MatCopy(seqmat,*mpimat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
10552     }
10553     PetscFunctionReturn(0);
10554   }
10555 
10556   if (!seqmat->ops->creatempimatconcatenateseqmat) SETERRQ1(PetscObjectComm((PetscObject)seqmat),PETSC_ERR_SUP,"Mat type %s",((PetscObject)seqmat)->type_name);
10557   ierr = PetscLogEventBegin(MAT_Merge,seqmat,0,0,0);CHKERRQ(ierr);
10558   ierr = (*seqmat->ops->creatempimatconcatenateseqmat)(comm,seqmat,n,reuse,mpimat);CHKERRQ(ierr);
10559   ierr = PetscLogEventEnd(MAT_Merge,seqmat,0,0,0);CHKERRQ(ierr);
10560   PetscFunctionReturn(0);
10561 }
10562 
10563 #undef __FUNCT__
10564 #define __FUNCT__ "MatSubdomainsCreateCoalesce"
10565 /*@
10566      MatSubdomainsCreateCoalesce - Creates index subdomains by coalescing adjacent
10567                  ranks' ownership ranges.
10568 
10569     Collective on A
10570 
10571    Input Parameters:
10572 +    A   - the matrix to create subdomains from
10573 -    N   - requested number of subdomains
10574 
10575 
10576    Output Parameters:
10577 +    n   - number of subdomains resulting on this rank
10578 -    iss - IS list with indices of subdomains on this rank
10579 
10580     Level: advanced
10581 
10582     Notes: number of subdomains must be smaller than the communicator size
10583 @*/
10584 PetscErrorCode MatSubdomainsCreateCoalesce(Mat A,PetscInt N,PetscInt *n,IS *iss[])
10585 {
10586   MPI_Comm        comm,subcomm;
10587   PetscMPIInt     size,rank,color;
10588   PetscInt        rstart,rend,k;
10589   PetscErrorCode  ierr;
10590 
10591   PetscFunctionBegin;
10592   ierr = PetscObjectGetComm((PetscObject)A,&comm);CHKERRQ(ierr);
10593   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
10594   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
10595   if (N < 1 || N >= (PetscInt)size) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"number of subdomains must be > 0 and < %D, got N = %D",size,N);
10596   *n = 1;
10597   k = ((PetscInt)size)/N + ((PetscInt)size%N>0); /* There are up to k ranks to a color */
10598   color = rank/k;
10599   ierr = MPI_Comm_split(comm,color,rank,&subcomm);CHKERRQ(ierr);
10600   ierr = PetscMalloc1(1,iss);CHKERRQ(ierr);
10601   ierr = MatGetOwnershipRange(A,&rstart,&rend);CHKERRQ(ierr);
10602   ierr = ISCreateStride(subcomm,rend-rstart,rstart,1,iss[0]);CHKERRQ(ierr);
10603   ierr = MPI_Comm_free(&subcomm);CHKERRQ(ierr);
10604   PetscFunctionReturn(0);
10605 }
10606