xref: /petsc/src/mat/interface/matrix.c (revision 06203a5e57e43cd399e0cd5e316d54711e730b31)
1 #define PETSCMAT_DLL
2 
3 /*
4    This is where the abstract matrix operations are defined
5 */
6 
7 #include "private/matimpl.h"        /*I "petscmat.h" I*/
8 #include "private/vecimpl.h"
9 
10 /* Logging support */
11 PetscCookie PETSCMAT_DLLEXPORT MAT_COOKIE;
12 PetscCookie PETSCMAT_DLLEXPORT MAT_FDCOLORING_COOKIE;
13 
14 PetscLogEvent  MAT_Mult, MAT_Mults, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
15 PetscLogEvent  MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_Solves, MAT_SolveAdd, MAT_SolveTranspose, MAT_MatSolve;
16 PetscLogEvent  MAT_SolveTransposeAdd, MAT_SOR, MAT_ForwardSolve, MAT_BackwardSolve, MAT_LUFactor, MAT_LUFactorSymbolic;
17 PetscLogEvent  MAT_LUFactorNumeric, MAT_CholeskyFactor, MAT_CholeskyFactorSymbolic, MAT_CholeskyFactorNumeric, MAT_ILUFactor;
18 PetscLogEvent  MAT_ILUFactorSymbolic, MAT_ICCFactorSymbolic, MAT_Copy, MAT_Convert, MAT_Scale, MAT_AssemblyBegin;
19 PetscLogEvent  MAT_AssemblyEnd, MAT_SetValues, MAT_GetValues, MAT_GetRow, MAT_GetRowIJ, MAT_GetSubMatrices, MAT_GetColoring, MAT_GetOrdering, MAT_GetRedundantMatrix, MAT_GetSeqNonzeroStructure;
20 PetscLogEvent  MAT_IncreaseOverlap, MAT_Partitioning, MAT_ZeroEntries, MAT_Load, MAT_View, MAT_AXPY, MAT_FDColoringCreate;
21 PetscLogEvent  MAT_FDColoringApply,MAT_Transpose,MAT_FDColoringFunction;
22 PetscLogEvent  MAT_MatMult, MAT_MatMultSymbolic, MAT_MatMultNumeric;
23 PetscLogEvent  MAT_PtAP, MAT_PtAPSymbolic, MAT_PtAPNumeric;
24 PetscLogEvent  MAT_MatMultTranspose, MAT_MatMultTransposeSymbolic, MAT_MatMultTransposeNumeric;
25 PetscLogEvent  MAT_Getsymtranspose, MAT_Getsymtransreduced, MAT_Transpose_SeqAIJ, MAT_GetBrowsOfAcols;
26 PetscLogEvent  MAT_GetBrowsOfAocols, MAT_Getlocalmat, MAT_Getlocalmatcondensed, MAT_Seqstompi, MAT_Seqstompinum, MAT_Seqstompisym;
27 PetscLogEvent  MAT_Applypapt, MAT_Applypapt_numeric, MAT_Applypapt_symbolic, MAT_GetSequentialNonzeroStructure;
28 PetscLogEvent  MAT_ILUDTFactorSymbolic, MAT_ILUDTFactorNumeric;
29 
30 /* nasty global values for MatSetValue() */
31 PetscInt    PETSCMAT_DLLEXPORT MatSetValue_Row = 0;
32 PetscInt    PETSCMAT_DLLEXPORT MatSetValue_Column = 0;
33 PetscScalar PETSCMAT_DLLEXPORT MatSetValue_Value = 0.0;
34 
35 #undef __FUNCT__
36 #define __FUNCT__ "MatGetDiagonalBlock"
37 /*@
38    MatGetDiagonalBlock - Returns the part of the matrix associated with the on-process coupling
39 
40    Not Collective
41 
42    Input Parameters:
43 +  mat - the matrix
44 -  reuse - indicates you are passing in the a matrix and want it reused
45 
46    Output Parameters:
47 +   iscopy - indicates a copy of the diagonal matrix was created and you should use MatDestroy() on it
48 -   a - the diagonal part (which is a SEQUENTIAL matrix)
49 
50    Notes: see the manual page for MatCreateMPIAIJ() for more information on the "diagonal part" of the matrix
51 
52    Level: advanced
53 
54 @*/
55 PetscErrorCode PETSCMAT_DLLEXPORT MatGetDiagonalBlock(Mat A,PetscTruth *iscopy,MatReuse reuse,Mat *a)
56 {
57   PetscErrorCode ierr,(*f)(Mat,PetscTruth*,MatReuse,Mat*);
58   PetscMPIInt    size;
59 
60   PetscFunctionBegin;
61   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
62   PetscValidType(A,1);
63   PetscValidPointer(iscopy,2);
64   PetscValidPointer(a,3);
65   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
66   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
67   ierr = MPI_Comm_size(((PetscObject)A)->comm,&size);CHKERRQ(ierr);
68   ierr = PetscObjectQueryFunction((PetscObject)A,"MatGetDiagonalBlock_C",(void (**)(void))&f);CHKERRQ(ierr);
69   if (f) {
70     ierr = (*f)(A,iscopy,reuse,a);CHKERRQ(ierr);
71   } else if (size == 1) {
72     *a = A;
73     *iscopy = PETSC_FALSE;
74   } else {
75     SETERRQ(PETSC_ERR_SUP,"Cannot get diagonal part for this matrix");
76   }
77   PetscFunctionReturn(0);
78 }
79 
80 #undef __FUNCT__
81 #define __FUNCT__ "MatRealPart"
82 /*@
83    MatRealPart - Zeros out the imaginary part of the matrix
84 
85    Collective on Mat
86 
87    Input Parameters:
88 .  mat - the matrix
89 
90    Level: advanced
91 
92 
93 .seealso: MatImaginaryPart()
94 @*/
95 PetscErrorCode PETSCMAT_DLLEXPORT MatRealPart(Mat mat)
96 {
97   PetscErrorCode ierr;
98 
99   PetscFunctionBegin;
100   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
101   PetscValidType(mat,1);
102   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
103   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
104   if (!mat->ops->realpart) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
105   ierr = MatPreallocated(mat);CHKERRQ(ierr);
106   ierr = (*mat->ops->realpart)(mat);CHKERRQ(ierr);
107   PetscFunctionReturn(0);
108 }
109 
110 #undef __FUNCT__
111 #define __FUNCT__ "MatGetGhosts"
112 /*@C
113    MatGetGhosts - Get the global index of all ghost nodes defined by the sparse matrix
114 
115    Collective on Mat
116 
117    Input Parameter:
118 .  mat - the matrix
119 
120    Output Parameters:
121 +   nghosts - number of ghosts (note for BAIJ matrices there is one ghost for each block)
122 -   ghosts - the global indices of the ghost points
123 
124    Notes: the nghosts and ghosts are suitable to pass into VecCreateGhost()
125 
126    Level: advanced
127 
128 @*/
129 PetscErrorCode PETSCMAT_DLLEXPORT MatGetGhosts(Mat mat,PetscInt *nghosts,const PetscInt *ghosts[])
130 {
131   PetscErrorCode ierr;
132 
133   PetscFunctionBegin;
134   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
135   PetscValidType(mat,1);
136   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
137   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
138   if (!mat->ops->getghosts) {
139     if (nghosts) *nghosts = 0;
140     if (ghosts) *ghosts = 0;
141   } else {
142     ierr = (*mat->ops->getghosts)(mat,nghosts,ghosts);CHKERRQ(ierr);
143   }
144   PetscFunctionReturn(0);
145 }
146 
147 
148 #undef __FUNCT__
149 #define __FUNCT__ "MatImaginaryPart"
150 /*@
151    MatImaginaryPart - Moves the imaginary part of the matrix to the real part and zeros the imaginary part
152 
153    Collective on Mat
154 
155    Input Parameters:
156 .  mat - the matrix
157 
158    Level: advanced
159 
160 
161 .seealso: MatRealPart()
162 @*/
163 PetscErrorCode PETSCMAT_DLLEXPORT MatImaginaryPart(Mat mat)
164 {
165   PetscErrorCode ierr;
166 
167   PetscFunctionBegin;
168   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
169   PetscValidType(mat,1);
170   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
171   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
172   if (!mat->ops->imaginarypart) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
173   ierr = MatPreallocated(mat);CHKERRQ(ierr);
174   ierr = (*mat->ops->imaginarypart)(mat);CHKERRQ(ierr);
175   PetscFunctionReturn(0);
176 }
177 
178 #undef __FUNCT__
179 #define __FUNCT__ "MatMissingDiagonal"
180 /*@
181    MatMissingDiagonal - Determine if sparse matrix is missing a diagonal entry (or block entry for BAIJ matrices)
182 
183    Collective on Mat
184 
185    Input Parameter:
186 .  mat - the matrix
187 
188    Output Parameters:
189 +  missing - is any diagonal missing
190 -  dd - first diagonal entry that is missing (optional)
191 
192    Level: advanced
193 
194 
195 .seealso: MatRealPart()
196 @*/
197 PetscErrorCode PETSCMAT_DLLEXPORT MatMissingDiagonal(Mat mat,PetscTruth *missing,PetscInt *dd)
198 {
199   PetscErrorCode ierr;
200 
201   PetscFunctionBegin;
202   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
203   PetscValidType(mat,1);
204   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
205   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
206   if (!mat->ops->missingdiagonal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
207   ierr = (*mat->ops->missingdiagonal)(mat,missing,dd);CHKERRQ(ierr);
208   PetscFunctionReturn(0);
209 }
210 
211 #undef __FUNCT__
212 #define __FUNCT__ "MatGetRow"
213 /*@C
214    MatGetRow - Gets a row of a matrix.  You MUST call MatRestoreRow()
215    for each row that you get to ensure that your application does
216    not bleed memory.
217 
218    Not Collective
219 
220    Input Parameters:
221 +  mat - the matrix
222 -  row - the row to get
223 
224    Output Parameters:
225 +  ncols -  if not NULL, the number of nonzeros in the row
226 .  cols - if not NULL, the column numbers
227 -  vals - if not NULL, the values
228 
229    Notes:
230    This routine is provided for people who need to have direct access
231    to the structure of a matrix.  We hope that we provide enough
232    high-level matrix routines that few users will need it.
233 
234    MatGetRow() always returns 0-based column indices, regardless of
235    whether the internal representation is 0-based (default) or 1-based.
236 
237    For better efficiency, set cols and/or vals to PETSC_NULL if you do
238    not wish to extract these quantities.
239 
240    The user can only examine the values extracted with MatGetRow();
241    the values cannot be altered.  To change the matrix entries, one
242    must use MatSetValues().
243 
244    You can only have one call to MatGetRow() outstanding for a particular
245    matrix at a time, per processor. MatGetRow() can only obtain rows
246    associated with the given processor, it cannot get rows from the
247    other processors; for that we suggest using MatGetSubMatrices(), then
248    MatGetRow() on the submatrix. The row indix passed to MatGetRows()
249    is in the global number of rows.
250 
251    Fortran Notes:
252    The calling sequence from Fortran is
253 .vb
254    MatGetRow(matrix,row,ncols,cols,values,ierr)
255          Mat     matrix (input)
256          integer row    (input)
257          integer ncols  (output)
258          integer cols(maxcols) (output)
259          double precision (or double complex) values(maxcols) output
260 .ve
261    where maxcols >= maximum nonzeros in any row of the matrix.
262 
263 
264    Caution:
265    Do not try to change the contents of the output arrays (cols and vals).
266    In some cases, this may corrupt the matrix.
267 
268    Level: advanced
269 
270    Concepts: matrices^row access
271 
272 .seealso: MatRestoreRow(), MatSetValues(), MatGetValues(), MatGetSubMatrices(), MatGetDiagonal()
273 @*/
274 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRow(Mat mat,PetscInt row,PetscInt *ncols,const PetscInt *cols[],const PetscScalar *vals[])
275 {
276   PetscErrorCode ierr;
277   PetscInt       incols;
278 
279   PetscFunctionBegin;
280   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
281   PetscValidType(mat,1);
282   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
283   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
284   if (!mat->ops->getrow) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
285   ierr = MatPreallocated(mat);CHKERRQ(ierr);
286   ierr = PetscLogEventBegin(MAT_GetRow,mat,0,0,0);CHKERRQ(ierr);
287   ierr = (*mat->ops->getrow)(mat,row,&incols,(PetscInt **)cols,(PetscScalar **)vals);CHKERRQ(ierr);
288   if (ncols) *ncols = incols;
289   ierr = PetscLogEventEnd(MAT_GetRow,mat,0,0,0);CHKERRQ(ierr);
290   PetscFunctionReturn(0);
291 }
292 
293 #undef __FUNCT__
294 #define __FUNCT__ "MatConjugate"
295 /*@
296    MatConjugate - replaces the matrix values with their complex conjugates
297 
298    Collective on Mat
299 
300    Input Parameters:
301 .  mat - the matrix
302 
303    Level: advanced
304 
305 .seealso:  VecConjugate()
306 @*/
307 PetscErrorCode PETSCMAT_DLLEXPORT MatConjugate(Mat mat)
308 {
309   PetscErrorCode ierr;
310 
311   PetscFunctionBegin;
312   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
313   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
314   if (!mat->ops->conjugate) SETERRQ(PETSC_ERR_SUP,"Not provided for this matrix format, send email to petsc-maint@mcs.anl.gov");
315   ierr = (*mat->ops->conjugate)(mat);CHKERRQ(ierr);
316   PetscFunctionReturn(0);
317 }
318 
319 #undef __FUNCT__
320 #define __FUNCT__ "MatRestoreRow"
321 /*@C
322    MatRestoreRow - Frees any temporary space allocated by MatGetRow().
323 
324    Not Collective
325 
326    Input Parameters:
327 +  mat - the matrix
328 .  row - the row to get
329 .  ncols, cols - the number of nonzeros and their columns
330 -  vals - if nonzero the column values
331 
332    Notes:
333    This routine should be called after you have finished examining the entries.
334 
335    Fortran Notes:
336    The calling sequence from Fortran is
337 .vb
338    MatRestoreRow(matrix,row,ncols,cols,values,ierr)
339       Mat     matrix (input)
340       integer row    (input)
341       integer ncols  (output)
342       integer cols(maxcols) (output)
343       double precision (or double complex) values(maxcols) output
344 .ve
345    Where maxcols >= maximum nonzeros in any row of the matrix.
346 
347    In Fortran MatRestoreRow() MUST be called after MatGetRow()
348    before another call to MatGetRow() can be made.
349 
350    Level: advanced
351 
352 .seealso:  MatGetRow()
353 @*/
354 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRow(Mat mat,PetscInt row,PetscInt *ncols,const PetscInt *cols[],const PetscScalar *vals[])
355 {
356   PetscErrorCode ierr;
357 
358   PetscFunctionBegin;
359   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
360   PetscValidIntPointer(ncols,3);
361   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
362   if (!mat->ops->restorerow) PetscFunctionReturn(0);
363   ierr = (*mat->ops->restorerow)(mat,row,ncols,(PetscInt **)cols,(PetscScalar **)vals);CHKERRQ(ierr);
364   PetscFunctionReturn(0);
365 }
366 
367 #undef __FUNCT__
368 #define __FUNCT__ "MatGetRowUpperTriangular"
369 /*@
370    MatGetRowUpperTriangular - Sets a flag to enable calls to MatGetRow() for matrix in MATSBAIJ format.
371    You should call MatRestoreRowUpperTriangular() after calling MatGetRow/MatRestoreRow() to disable the flag.
372 
373    Not Collective
374 
375    Input Parameters:
376 +  mat - the matrix
377 
378    Notes:
379    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.
380 
381    Level: advanced
382 
383    Concepts: matrices^row access
384 
385 .seealso: MatRestoreRowRowUpperTriangular()
386 @*/
387 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowUpperTriangular(Mat mat)
388 {
389   PetscErrorCode ierr;
390 
391   PetscFunctionBegin;
392   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
393   PetscValidType(mat,1);
394   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
395   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
396   if (!mat->ops->getrowuppertriangular) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
397   ierr = MatPreallocated(mat);CHKERRQ(ierr);
398   ierr = (*mat->ops->getrowuppertriangular)(mat);CHKERRQ(ierr);
399   PetscFunctionReturn(0);
400 }
401 
402 #undef __FUNCT__
403 #define __FUNCT__ "MatRestoreRowUpperTriangular"
404 /*@
405    MatRestoreRowUpperTriangular - Disable calls to MatGetRow() for matrix in MATSBAIJ format.
406 
407    Not Collective
408 
409    Input Parameters:
410 +  mat - the matrix
411 
412    Notes:
413    This routine should be called after you have finished MatGetRow/MatRestoreRow().
414 
415 
416    Level: advanced
417 
418 .seealso:  MatGetRowUpperTriangular()
419 @*/
420 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRowUpperTriangular(Mat mat)
421 {
422   PetscErrorCode ierr;
423 
424   PetscFunctionBegin;
425   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
426   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
427   if (!mat->ops->restorerowuppertriangular) PetscFunctionReturn(0);
428   ierr = (*mat->ops->restorerowuppertriangular)(mat);CHKERRQ(ierr);
429   PetscFunctionReturn(0);
430 }
431 
432 #undef __FUNCT__
433 #define __FUNCT__ "MatSetOptionsPrefix"
434 /*@C
435    MatSetOptionsPrefix - Sets the prefix used for searching for all
436    Mat options in the database.
437 
438    Collective on Mat
439 
440    Input Parameter:
441 +  A - the Mat context
442 -  prefix - the prefix to prepend to all option names
443 
444    Notes:
445    A hyphen (-) must NOT be given at the beginning of the prefix name.
446    The first character of all runtime options is AUTOMATICALLY the hyphen.
447 
448    Level: advanced
449 
450 .keywords: Mat, set, options, prefix, database
451 
452 .seealso: MatSetFromOptions()
453 @*/
454 PetscErrorCode PETSCMAT_DLLEXPORT MatSetOptionsPrefix(Mat A,const char prefix[])
455 {
456   PetscErrorCode ierr;
457 
458   PetscFunctionBegin;
459   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
460   ierr = PetscObjectSetOptionsPrefix((PetscObject)A,prefix);CHKERRQ(ierr);
461   PetscFunctionReturn(0);
462 }
463 
464 #undef __FUNCT__
465 #define __FUNCT__ "MatAppendOptionsPrefix"
466 /*@C
467    MatAppendOptionsPrefix - Appends to the prefix used for searching for all
468    Mat options in the database.
469 
470    Collective on Mat
471 
472    Input Parameters:
473 +  A - the Mat context
474 -  prefix - the prefix to prepend to all option names
475 
476    Notes:
477    A hyphen (-) must NOT be given at the beginning of the prefix name.
478    The first character of all runtime options is AUTOMATICALLY the hyphen.
479 
480    Level: advanced
481 
482 .keywords: Mat, append, options, prefix, database
483 
484 .seealso: MatGetOptionsPrefix()
485 @*/
486 PetscErrorCode PETSCMAT_DLLEXPORT MatAppendOptionsPrefix(Mat A,const char prefix[])
487 {
488   PetscErrorCode ierr;
489 
490   PetscFunctionBegin;
491   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
492   ierr = PetscObjectAppendOptionsPrefix((PetscObject)A,prefix);CHKERRQ(ierr);
493   PetscFunctionReturn(0);
494 }
495 
496 #undef __FUNCT__
497 #define __FUNCT__ "MatGetOptionsPrefix"
498 /*@C
499    MatGetOptionsPrefix - Sets the prefix used for searching for all
500    Mat options in the database.
501 
502    Not Collective
503 
504    Input Parameter:
505 .  A - the Mat context
506 
507    Output Parameter:
508 .  prefix - pointer to the prefix string used
509 
510    Notes: On the fortran side, the user should pass in a string 'prefix' of
511    sufficient length to hold the prefix.
512 
513    Level: advanced
514 
515 .keywords: Mat, get, options, prefix, database
516 
517 .seealso: MatAppendOptionsPrefix()
518 @*/
519 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOptionsPrefix(Mat A,const char *prefix[])
520 {
521   PetscErrorCode ierr;
522 
523   PetscFunctionBegin;
524   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
525   ierr = PetscObjectGetOptionsPrefix((PetscObject)A,prefix);CHKERRQ(ierr);
526   PetscFunctionReturn(0);
527 }
528 
529 #undef __FUNCT__
530 #define __FUNCT__ "MatSetUp"
531 /*@
532    MatSetUp - Sets up the internal matrix data structures for the later use.
533 
534    Collective on Mat
535 
536    Input Parameters:
537 .  A - the Mat context
538 
539    Notes:
540    For basic use of the Mat classes the user need not explicitly call
541    MatSetUp(), since these actions will happen automatically.
542 
543    Level: advanced
544 
545 .keywords: Mat, setup
546 
547 .seealso: MatCreate(), MatDestroy()
548 @*/
549 PetscErrorCode PETSCMAT_DLLEXPORT MatSetUp(Mat A)
550 {
551   PetscMPIInt    size;
552   PetscErrorCode ierr;
553 
554   PetscFunctionBegin;
555   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
556   if (!((PetscObject)A)->type_name) {
557     ierr = MPI_Comm_size(((PetscObject)A)->comm, &size);CHKERRQ(ierr);
558     if (size == 1) {
559       ierr = MatSetType(A, MATSEQAIJ);CHKERRQ(ierr);
560     } else {
561       ierr = MatSetType(A, MATMPIAIJ);CHKERRQ(ierr);
562     }
563   }
564   ierr = MatSetUpPreallocation(A);CHKERRQ(ierr);
565   PetscFunctionReturn(0);
566 }
567 
568 #undef __FUNCT__
569 #define __FUNCT__ "MatView"
570 /*@C
571    MatView - Visualizes a matrix object.
572 
573    Collective on Mat
574 
575    Input Parameters:
576 +  mat - the matrix
577 -  viewer - visualization context
578 
579   Notes:
580   The available visualization contexts include
581 +    PETSC_VIEWER_STDOUT_SELF - standard output (default)
582 .    PETSC_VIEWER_STDOUT_WORLD - synchronized standard
583         output where only the first processor opens
584         the file.  All other processors send their
585         data to the first processor to print.
586 -     PETSC_VIEWER_DRAW_WORLD - graphical display of nonzero structure
587 
588    The user can open alternative visualization contexts with
589 +    PetscViewerASCIIOpen() - Outputs matrix to a specified file
590 .    PetscViewerBinaryOpen() - Outputs matrix in binary to a
591          specified file; corresponding input uses MatLoad()
592 .    PetscViewerDrawOpen() - Outputs nonzero matrix structure to
593          an X window display
594 -    PetscViewerSocketOpen() - Outputs matrix to Socket viewer.
595          Currently only the sequential dense and AIJ
596          matrix types support the Socket viewer.
597 
598    The user can call PetscViewerSetFormat() to specify the output
599    format of ASCII printed objects (when using PETSC_VIEWER_STDOUT_SELF,
600    PETSC_VIEWER_STDOUT_WORLD and PetscViewerASCIIOpen).  Available formats include
601 +    PETSC_VIEWER_DEFAULT - default, prints matrix contents
602 .    PETSC_VIEWER_ASCII_MATLAB - prints matrix contents in Matlab format
603 .    PETSC_VIEWER_ASCII_DENSE - prints entire matrix including zeros
604 .    PETSC_VIEWER_ASCII_COMMON - prints matrix contents, using a sparse
605          format common among all matrix types
606 .    PETSC_VIEWER_ASCII_IMPL - prints matrix contents, using an implementation-specific
607          format (which is in many cases the same as the default)
608 .    PETSC_VIEWER_ASCII_INFO - prints basic information about the matrix
609          size and structure (not the matrix entries)
610 .    PETSC_VIEWER_ASCII_INFO_DETAIL - prints more detailed information about
611          the matrix structure
612 
613    Options Database Keys:
614 +  -mat_view_info - Prints info on matrix at conclusion of MatEndAssembly()
615 .  -mat_view_info_detailed - Prints more detailed info
616 .  -mat_view - Prints matrix in ASCII format
617 .  -mat_view_matlab - Prints matrix in Matlab format
618 .  -mat_view_draw - PetscDraws nonzero structure of matrix, using MatView() and PetscDrawOpenX().
619 .  -display <name> - Sets display name (default is host)
620 .  -draw_pause <sec> - Sets number of seconds to pause after display
621 .  -mat_view_socket - Sends matrix to socket, can be accessed from Matlab (see users manual)
622 .  -viewer_socket_machine <machine>
623 .  -viewer_socket_port <port>
624 .  -mat_view_binary - save matrix to file in binary format
625 -  -viewer_binary_filename <name>
626    Level: beginner
627 
628    Notes: see the manual page for MatLoad() for the exact format of the binary file when the binary
629       viewer is used.
630 
631       See bin/matlab/PetscBinaryRead.m for a Matlab code that can read in the binary file when the binary
632       viewer is used.
633 
634    Concepts: matrices^viewing
635    Concepts: matrices^plotting
636    Concepts: matrices^printing
637 
638 .seealso: PetscViewerSetFormat(), PetscViewerASCIIOpen(), PetscViewerDrawOpen(),
639           PetscViewerSocketOpen(), PetscViewerBinaryOpen(), MatLoad()
640 @*/
641 PetscErrorCode PETSCMAT_DLLEXPORT MatView(Mat mat,PetscViewer viewer)
642 {
643   PetscErrorCode    ierr;
644   PetscInt          rows,cols;
645   PetscTruth        iascii;
646   const MatType     cstr;
647   PetscViewerFormat format;
648 
649   PetscFunctionBegin;
650   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
651   PetscValidType(mat,1);
652   if (!viewer) {
653     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
654   }
655   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_COOKIE,2);
656   PetscCheckSameComm(mat,1,viewer,2);
657   if (!mat->assembled) SETERRQ(PETSC_ERR_ORDER,"Must call MatAssemblyBegin/End() before viewing matrix");
658   ierr = MatPreallocated(mat);CHKERRQ(ierr);
659 
660   ierr = PetscLogEventBegin(MAT_View,mat,viewer,0,0);CHKERRQ(ierr);
661   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr);
662   if (iascii) {
663     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
664     if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
665       if (((PetscObject)mat)->prefix) {
666         ierr = PetscViewerASCIIPrintf(viewer,"Matrix Object:(%s)\n",((PetscObject)mat)->prefix);CHKERRQ(ierr);
667       } else {
668         ierr = PetscViewerASCIIPrintf(viewer,"Matrix Object:\n");CHKERRQ(ierr);
669       }
670       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
671       ierr = MatGetType(mat,&cstr);CHKERRQ(ierr);
672       ierr = MatGetSize(mat,&rows,&cols);CHKERRQ(ierr);
673       ierr = PetscViewerASCIIPrintf(viewer,"type=%s, rows=%D, cols=%D\n",cstr,rows,cols);CHKERRQ(ierr);
674       if (mat->factor) {
675         const MatSolverPackage solver;
676         ierr = MatFactorGetSolverPackage(mat,&solver);CHKERRQ(ierr);
677         ierr = PetscViewerASCIIPrintf(viewer,"package used to perform factorization: %s\n",solver);CHKERRQ(ierr);
678       }
679       if (mat->ops->getinfo) {
680         MatInfo info;
681         ierr = MatGetInfo(mat,MAT_GLOBAL_SUM,&info);CHKERRQ(ierr);
682         ierr = PetscViewerASCIIPrintf(viewer,"total: nonzeros=%D, allocated nonzeros=%D\n",(PetscInt)info.nz_used,(PetscInt)info.nz_allocated);CHKERRQ(ierr);
683       }
684     }
685   }
686   if (mat->ops->view) {
687     ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
688     ierr = (*mat->ops->view)(mat,viewer);CHKERRQ(ierr);
689     ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
690   } else if (!iascii) {
691     SETERRQ1(PETSC_ERR_SUP,"Viewer type %s not supported",((PetscObject)viewer)->type_name);
692   }
693   if (iascii) {
694     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
695     if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
696       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
697     }
698   }
699   ierr = PetscLogEventEnd(MAT_View,mat,viewer,0,0);CHKERRQ(ierr);
700   PetscFunctionReturn(0);
701 }
702 
703 #undef __FUNCT__
704 #define __FUNCT__ "MatScaleSystem"
705 /*@
706    MatScaleSystem - Scale a vector solution and right hand side to
707    match the scaling of a scaled matrix.
708 
709    Collective on Mat
710 
711    Input Parameter:
712 +  mat - the matrix
713 .  b - right hand side vector (or PETSC_NULL)
714 -  x - solution vector (or PETSC_NULL)
715 
716 
717    Notes:
718    For AIJ, and BAIJ matrix formats, the matrices are not
719    internally scaled, so this does nothing. For MPIROWBS it
720    permutes and diagonally scales.
721 
722    The KSP methods automatically call this routine when required
723    (via PCPreSolve()) so it is rarely used directly.
724 
725    Level: Developer
726 
727    Concepts: matrices^scaling
728 
729 .seealso: MatUseScaledForm(), MatUnScaleSystem()
730 @*/
731 PetscErrorCode PETSCMAT_DLLEXPORT MatScaleSystem(Mat mat,Vec b,Vec x)
732 {
733   PetscErrorCode ierr;
734 
735   PetscFunctionBegin;
736   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
737   PetscValidType(mat,1);
738   ierr = MatPreallocated(mat);CHKERRQ(ierr);
739   if (x) {PetscValidHeaderSpecific(x,VEC_COOKIE,2);PetscCheckSameComm(mat,1,x,2);}
740   if (b) {PetscValidHeaderSpecific(b,VEC_COOKIE,3);PetscCheckSameComm(mat,1,b,3);}
741 
742   if (mat->ops->scalesystem) {
743     ierr = (*mat->ops->scalesystem)(mat,b,x);CHKERRQ(ierr);
744   }
745   PetscFunctionReturn(0);
746 }
747 
748 #undef __FUNCT__
749 #define __FUNCT__ "MatUnScaleSystem"
750 /*@
751    MatUnScaleSystem - Unscales a vector solution and right hand side to
752    match the original scaling of a scaled matrix.
753 
754    Collective on Mat
755 
756    Input Parameter:
757 +  mat - the matrix
758 .  b - right hand side vector (or PETSC_NULL)
759 -  x - solution vector (or PETSC_NULL)
760 
761 
762    Notes:
763    For AIJ and BAIJ matrix formats, the matrices are not
764    internally scaled, so this does nothing. For MPIROWBS it
765    permutes and diagonally scales.
766 
767    The KSP methods automatically call this routine when required
768    (via PCPreSolve()) so it is rarely used directly.
769 
770    Level: Developer
771 
772 .seealso: MatUseScaledForm(), MatScaleSystem()
773 @*/
774 PetscErrorCode PETSCMAT_DLLEXPORT MatUnScaleSystem(Mat mat,Vec b,Vec x)
775 {
776   PetscErrorCode ierr;
777 
778   PetscFunctionBegin;
779   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
780   PetscValidType(mat,1);
781   ierr = MatPreallocated(mat);CHKERRQ(ierr);
782   if (x) {PetscValidHeaderSpecific(x,VEC_COOKIE,2);PetscCheckSameComm(mat,1,x,2);}
783   if (b) {PetscValidHeaderSpecific(b,VEC_COOKIE,3);PetscCheckSameComm(mat,1,b,3);}
784   if (mat->ops->unscalesystem) {
785     ierr = (*mat->ops->unscalesystem)(mat,b,x);CHKERRQ(ierr);
786   }
787   PetscFunctionReturn(0);
788 }
789 
790 #undef __FUNCT__
791 #define __FUNCT__ "MatUseScaledForm"
792 /*@
793    MatUseScaledForm - For matrix storage formats that scale the
794    matrix (for example MPIRowBS matrices are diagonally scaled on
795    assembly) indicates matrix operations (MatMult() etc) are
796    applied using the scaled matrix.
797 
798    Collective on Mat
799 
800    Input Parameter:
801 +  mat - the matrix
802 -  scaled - PETSC_TRUE for applying the scaled, PETSC_FALSE for
803             applying the original matrix
804 
805    Notes:
806    For scaled matrix formats, applying the original, unscaled matrix
807    will be slightly more expensive
808 
809    Level: Developer
810 
811 .seealso: MatScaleSystem(), MatUnScaleSystem()
812 @*/
813 PetscErrorCode PETSCMAT_DLLEXPORT MatUseScaledForm(Mat mat,PetscTruth scaled)
814 {
815   PetscErrorCode ierr;
816 
817   PetscFunctionBegin;
818   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
819   PetscValidType(mat,1);
820   ierr = MatPreallocated(mat);CHKERRQ(ierr);
821   if (mat->ops->usescaledform) {
822     ierr = (*mat->ops->usescaledform)(mat,scaled);CHKERRQ(ierr);
823   }
824   PetscFunctionReturn(0);
825 }
826 
827 #undef __FUNCT__
828 #define __FUNCT__ "MatDestroy"
829 /*@
830    MatDestroy - Frees space taken by a matrix.
831 
832    Collective on Mat
833 
834    Input Parameter:
835 .  A - the matrix
836 
837    Level: beginner
838 
839 @*/
840 PetscErrorCode PETSCMAT_DLLEXPORT MatDestroy(Mat A)
841 {
842   PetscErrorCode ierr;
843   PetscFunctionBegin;
844   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
845   if (--((PetscObject)A)->refct > 0) PetscFunctionReturn(0);
846   ierr = MatPreallocated(A);CHKERRQ(ierr);
847   /* if memory was published with AMS then destroy it */
848   ierr = PetscObjectDepublish(A);CHKERRQ(ierr);
849   if (A->ops->destroy) {
850     ierr = (*A->ops->destroy)(A);CHKERRQ(ierr);
851   }
852   if (A->mapping) {
853     ierr = ISLocalToGlobalMappingDestroy(A->mapping);CHKERRQ(ierr);
854   }
855   if (A->bmapping) {
856     ierr = ISLocalToGlobalMappingDestroy(A->bmapping);CHKERRQ(ierr);
857   }
858 
859   if (A->spptr){ierr = PetscFree(A->spptr);CHKERRQ(ierr);}
860   ierr = PetscLayoutDestroy(A->rmap);CHKERRQ(ierr);
861   ierr = PetscLayoutDestroy(A->cmap);CHKERRQ(ierr);
862   ierr = PetscHeaderDestroy(A);CHKERRQ(ierr);
863   PetscFunctionReturn(0);
864 }
865 
866 #undef __FUNCT__
867 #define __FUNCT__ "MatValid"
868 /*@
869    MatValid - Checks whether a matrix object is valid.
870 
871    Collective on Mat
872 
873    Input Parameter:
874 .  m - the matrix to check
875 
876    Output Parameter:
877    flg - flag indicating matrix status, either
878    PETSC_TRUE if matrix is valid, or PETSC_FALSE otherwise.
879 
880    Level: developer
881 
882    Concepts: matrices^validity
883 @*/
884 PetscErrorCode PETSCMAT_DLLEXPORT MatValid(Mat m,PetscTruth *flg)
885 {
886   PetscFunctionBegin;
887   PetscValidIntPointer(flg,1);
888   if (!m)                                          *flg = PETSC_FALSE;
889   else if (((PetscObject)m)->cookie != MAT_COOKIE) *flg = PETSC_FALSE;
890   else                                             *flg = PETSC_TRUE;
891   PetscFunctionReturn(0);
892 }
893 
894 #undef __FUNCT__
895 #define __FUNCT__ "MatSetValues"
896 /*@
897    MatSetValues - Inserts or adds a block of values into a matrix.
898    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
899    MUST be called after all calls to MatSetValues() have been completed.
900 
901    Not Collective
902 
903    Input Parameters:
904 +  mat - the matrix
905 .  v - a logically two-dimensional array of values
906 .  m, idxm - the number of rows and their global indices
907 .  n, idxn - the number of columns and their global indices
908 -  addv - either ADD_VALUES or INSERT_VALUES, where
909    ADD_VALUES adds values to any existing entries, and
910    INSERT_VALUES replaces existing entries with new values
911 
912    Notes:
913    By default the values, v, are row-oriented and unsorted.
914    See MatSetOption() for other options.
915 
916    Calls to MatSetValues() with the INSERT_VALUES and ADD_VALUES
917    options cannot be mixed without intervening calls to the assembly
918    routines.
919 
920    MatSetValues() uses 0-based row and column numbers in Fortran
921    as well as in C.
922 
923    Negative indices may be passed in idxm and idxn, these rows and columns are
924    simply ignored. This allows easily inserting element stiffness matrices
925    with homogeneous Dirchlet boundary conditions that you don't want represented
926    in the matrix.
927 
928    Efficiency Alert:
929    The routine MatSetValuesBlocked() may offer much better efficiency
930    for users of block sparse formats (MATSEQBAIJ and MATMPIBAIJ).
931 
932    Level: beginner
933 
934    Concepts: matrices^putting entries in
935 
936 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
937           InsertMode, INSERT_VALUES, ADD_VALUES
938 @*/
939 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValues(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],const PetscScalar v[],InsertMode addv)
940 {
941   PetscErrorCode ierr;
942 
943   PetscFunctionBegin;
944   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
945   PetscValidType(mat,1);
946   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
947   PetscValidIntPointer(idxm,3);
948   PetscValidIntPointer(idxn,5);
949   ierr = MatPreallocated(mat);CHKERRQ(ierr);
950   if (mat->insertmode == NOT_SET_VALUES) {
951     mat->insertmode = addv;
952   }
953 #if defined(PETSC_USE_DEBUG)
954   else if (mat->insertmode != addv) {
955     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
956   }
957   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
958 #endif
959 
960   if (mat->assembled) {
961     mat->was_assembled = PETSC_TRUE;
962     mat->assembled     = PETSC_FALSE;
963   }
964   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
965   if (!mat->ops->setvalues) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
966   ierr = (*mat->ops->setvalues)(mat,m,idxm,n,idxn,v,addv);CHKERRQ(ierr);
967   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
968   PetscFunctionReturn(0);
969 }
970 
971 
972 #undef __FUNCT__
973 #define __FUNCT__ "MatSetValuesRowLocal"
974 /*@
975    MatSetValuesRowLocal - Inserts a row (block row for BAIJ matrices) of nonzero
976         values into a matrix
977 
978    Not Collective
979 
980    Input Parameters:
981 +  mat - the matrix
982 .  row - the (block) row to set
983 -  v - a logically two-dimensional array of values
984 
985    Notes:
986    By the values, v, are column-oriented (for the block version) and sorted
987 
988    All the nonzeros in the row must be provided
989 
990    The matrix must have previously had its column indices set
991 
992    The row must belong to this process
993 
994    Level: intermediate
995 
996    Concepts: matrices^putting entries in
997 
998 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
999           InsertMode, INSERT_VALUES, ADD_VALUES, MatSetValues(), MatSetValuesRow(), MatSetLocalToGlobalMapping()
1000 @*/
1001 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesRowLocal(Mat mat,PetscInt row,const PetscScalar v[])
1002 {
1003   PetscErrorCode ierr;
1004 
1005   PetscFunctionBegin;
1006   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1007   PetscValidType(mat,1);
1008   PetscValidScalarPointer(v,2);
1009   ierr = MatSetValuesRow(mat, mat->mapping->indices[row],v);CHKERRQ(ierr);
1010   PetscFunctionReturn(0);
1011 }
1012 
1013 #undef __FUNCT__
1014 #define __FUNCT__ "MatSetValuesRow"
1015 /*@
1016    MatSetValuesRow - Inserts a row (block row for BAIJ matrices) of nonzero
1017         values into a matrix
1018 
1019    Not Collective
1020 
1021    Input Parameters:
1022 +  mat - the matrix
1023 .  row - the (block) row to set
1024 -  v - a logically two-dimensional array of values
1025 
1026    Notes:
1027    The values, v, are column-oriented for the block version.
1028 
1029    All the nonzeros in the row must be provided
1030 
1031    THE MATRIX MUSAT HAVE PREVIOUSLY HAD ITS COLUMN INDICES SET. IT IS RARE THAT THIS ROUTINE IS USED, usually MatSetValues() is used.
1032 
1033    The row must belong to this process
1034 
1035    Level: advanced
1036 
1037    Concepts: matrices^putting entries in
1038 
1039 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
1040           InsertMode, INSERT_VALUES, ADD_VALUES, MatSetValues()
1041 @*/
1042 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesRow(Mat mat,PetscInt row,const PetscScalar v[])
1043 {
1044   PetscErrorCode ierr;
1045 
1046   PetscFunctionBegin;
1047   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1048   PetscValidType(mat,1);
1049   PetscValidScalarPointer(v,2);
1050 #if defined(PETSC_USE_DEBUG)
1051   if (mat->insertmode == ADD_VALUES) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add and insert values");
1052   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1053 #endif
1054   mat->insertmode = INSERT_VALUES;
1055 
1056   if (mat->assembled) {
1057     mat->was_assembled = PETSC_TRUE;
1058     mat->assembled     = PETSC_FALSE;
1059   }
1060   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1061   if (!mat->ops->setvaluesrow) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
1062   ierr = (*mat->ops->setvaluesrow)(mat,row,v);CHKERRQ(ierr);
1063   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1064   PetscFunctionReturn(0);
1065 }
1066 
1067 #undef __FUNCT__
1068 #define __FUNCT__ "MatSetValuesStencil"
1069 /*@
1070    MatSetValuesStencil - Inserts or adds a block of values into a matrix.
1071      Using structured grid indexing
1072 
1073    Not Collective
1074 
1075    Input Parameters:
1076 +  mat - the matrix
1077 .  m - number of rows being entered
1078 .  idxm - grid coordinates (and component number when dof > 1) for matrix rows being entered
1079 .  n - number of columns being entered
1080 .  idxn - grid coordinates (and component number when dof > 1) for matrix columns being entered
1081 .  v - a logically two-dimensional array of values
1082 -  addv - either ADD_VALUES or INSERT_VALUES, where
1083    ADD_VALUES adds values to any existing entries, and
1084    INSERT_VALUES replaces existing entries with new values
1085 
1086    Notes:
1087    By default the values, v, are row-oriented.  See MatSetOption() for other options.
1088 
1089    Calls to MatSetValuesStencil() with the INSERT_VALUES and ADD_VALUES
1090    options cannot be mixed without intervening calls to the assembly
1091    routines.
1092 
1093    The grid coordinates are across the entire grid, not just the local portion
1094 
1095    MatSetValuesStencil() uses 0-based row and column numbers in Fortran
1096    as well as in C.
1097 
1098    For setting/accessing vector values via array coordinates you can use the DAVecGetArray() routine
1099 
1100    In order to use this routine you must either obtain the matrix with DAGetMatrix()
1101    or call MatSetLocalToGlobalMapping() and MatSetStencil() first.
1102 
1103    The columns and rows in the stencil passed in MUST be contained within the
1104    ghost region of the given process as set with DACreateXXX() or MatSetStencil(). For example,
1105    if you create a DA with an overlap of one grid level and on a particular process its first
1106    local nonghost x logical coordinate is 6 (so its first ghost x logical coordinate is 5) the
1107    first i index you can use in your column and row indices in MatSetStencil() is 5.
1108 
1109    In Fortran idxm and idxn should be declared as
1110 $     MatStencil idxm(4,m),idxn(4,n)
1111    and the values inserted using
1112 $    idxm(MatStencil_i,1) = i
1113 $    idxm(MatStencil_j,1) = j
1114 $    idxm(MatStencil_k,1) = k
1115 $    idxm(MatStencil_c,1) = c
1116    etc
1117 
1118    For periodic boundary conditions use negative indices for values to the left (below 0; that are to be
1119    obtained by wrapping values from right edge). For values to the right of the last entry using that index plus one
1120    etc to obtain values that obtained by wrapping the values from the left edge. This does not work for the DA_NONPERIODIC
1121    wrap.
1122 
1123    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
1124    a single value per point) you can skip filling those indices.
1125 
1126    Inspired by the structured grid interface to the HYPRE package
1127    (http://www.llnl.gov/CASC/hypre)
1128 
1129    Efficiency Alert:
1130    The routine MatSetValuesBlockedStencil() may offer much better efficiency
1131    for users of block sparse formats (MATSEQBAIJ and MATMPIBAIJ).
1132 
1133    Level: beginner
1134 
1135    Concepts: matrices^putting entries in
1136 
1137 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1138           MatSetValues(), MatSetValuesBlockedStencil(), MatSetStencil(), DAGetMatrix(), DAVecGetArray(), MatStencil
1139 @*/
1140 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesStencil(Mat mat,PetscInt m,const MatStencil idxm[],PetscInt n,const MatStencil idxn[],const PetscScalar v[],InsertMode addv)
1141 {
1142   PetscErrorCode ierr;
1143   PetscInt       j,i,jdxm[128],jdxn[256],dim = mat->stencil.dim,*dims = mat->stencil.dims+1,tmp;
1144   PetscInt       *starts = mat->stencil.starts,*dxm = (PetscInt*)idxm,*dxn = (PetscInt*)idxn,sdim = dim - (1 - (PetscInt)mat->stencil.noc);
1145 
1146   PetscFunctionBegin;
1147   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1148   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1149   PetscValidType(mat,1);
1150   PetscValidIntPointer(idxm,3);
1151   PetscValidIntPointer(idxn,5);
1152   PetscValidScalarPointer(v,6);
1153 
1154   if (m > 128) SETERRQ1(PETSC_ERR_SUP,"Can only set 128 rows at a time; trying to set %D",m);
1155   if (n > 256) SETERRQ1(PETSC_ERR_SUP,"Can only set 256 columns at a time; trying to set %D",n);
1156 
1157   for (i=0; i<m; i++) {
1158     for (j=0; j<3-sdim; j++) dxm++;
1159     tmp = *dxm++ - starts[0];
1160     for (j=0; j<dim-1; j++) {
1161       if ((*dxm++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1162       else                                       tmp = tmp*dims[j] + *(dxm-1) - starts[j+1];
1163     }
1164     if (mat->stencil.noc) dxm++;
1165     jdxm[i] = tmp;
1166   }
1167   for (i=0; i<n; i++) {
1168     for (j=0; j<3-sdim; j++) dxn++;
1169     tmp = *dxn++ - starts[0];
1170     for (j=0; j<dim-1; j++) {
1171       if ((*dxn++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1172       else                                       tmp = tmp*dims[j] + *(dxn-1) - starts[j+1];
1173     }
1174     if (mat->stencil.noc) dxn++;
1175     jdxn[i] = tmp;
1176   }
1177   ierr = MatSetValuesLocal(mat,m,jdxm,n,jdxn,v,addv);CHKERRQ(ierr);
1178   PetscFunctionReturn(0);
1179 }
1180 
1181 #undef __FUNCT__
1182 #define __FUNCT__ "MatSetValuesBlockedStencil"
1183 /*@C
1184    MatSetValuesBlockedStencil - Inserts or adds a block of values into a matrix.
1185      Using structured grid indexing
1186 
1187    Not Collective
1188 
1189    Input Parameters:
1190 +  mat - the matrix
1191 .  m - number of rows being entered
1192 .  idxm - grid coordinates for matrix rows being entered
1193 .  n - number of columns being entered
1194 .  idxn - grid coordinates for matrix columns being entered
1195 .  v - a logically two-dimensional array of values
1196 -  addv - either ADD_VALUES or INSERT_VALUES, where
1197    ADD_VALUES adds values to any existing entries, and
1198    INSERT_VALUES replaces existing entries with new values
1199 
1200    Notes:
1201    By default the values, v, are row-oriented and unsorted.
1202    See MatSetOption() for other options.
1203 
1204    Calls to MatSetValuesBlockedStencil() with the INSERT_VALUES and ADD_VALUES
1205    options cannot be mixed without intervening calls to the assembly
1206    routines.
1207 
1208    The grid coordinates are across the entire grid, not just the local portion
1209 
1210    MatSetValuesBlockedStencil() uses 0-based row and column numbers in Fortran
1211    as well as in C.
1212 
1213    For setting/accessing vector values via array coordinates you can use the DAVecGetArray() routine
1214 
1215    In order to use this routine you must either obtain the matrix with DAGetMatrix()
1216    or call MatSetBlockSize(), MatSetLocalToGlobalMapping() and MatSetStencil() first.
1217 
1218    The columns and rows in the stencil passed in MUST be contained within the
1219    ghost region of the given process as set with DACreateXXX() or MatSetStencil(). For example,
1220    if you create a DA with an overlap of one grid level and on a particular process its first
1221    local nonghost x logical coordinate is 6 (so its first ghost x logical coordinate is 5) the
1222    first i index you can use in your column and row indices in MatSetStencil() is 5.
1223 
1224    In Fortran idxm and idxn should be declared as
1225 $     MatStencil idxm(4,m),idxn(4,n)
1226    and the values inserted using
1227 $    idxm(MatStencil_i,1) = i
1228 $    idxm(MatStencil_j,1) = j
1229 $    idxm(MatStencil_k,1) = k
1230    etc
1231 
1232    Negative indices may be passed in idxm and idxn, these rows and columns are
1233    simply ignored. This allows easily inserting element stiffness matrices
1234    with homogeneous Dirchlet boundary conditions that you don't want represented
1235    in the matrix.
1236 
1237    Inspired by the structured grid interface to the HYPRE package
1238    (http://www.llnl.gov/CASC/hypre)
1239 
1240    Level: beginner
1241 
1242    Concepts: matrices^putting entries in
1243 
1244 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1245           MatSetValues(), MatSetValuesStencil(), MatSetStencil(), DAGetMatrix(), DAVecGetArray(), MatStencil,
1246           MatSetBlockSize(), MatSetLocalToGlobalMapping()
1247 @*/
1248 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlockedStencil(Mat mat,PetscInt m,const MatStencil idxm[],PetscInt n,const MatStencil idxn[],const PetscScalar v[],InsertMode addv)
1249 {
1250   PetscErrorCode ierr;
1251   PetscInt       j,i,jdxm[128],jdxn[256],dim = mat->stencil.dim,*dims = mat->stencil.dims+1,tmp;
1252   PetscInt       *starts = mat->stencil.starts,*dxm = (PetscInt*)idxm,*dxn = (PetscInt*)idxn,sdim = dim - (1 - (PetscInt)mat->stencil.noc);
1253 
1254   PetscFunctionBegin;
1255   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1256   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1257   PetscValidType(mat,1);
1258   PetscValidIntPointer(idxm,3);
1259   PetscValidIntPointer(idxn,5);
1260   PetscValidScalarPointer(v,6);
1261 
1262   if (m > 128) SETERRQ1(PETSC_ERR_SUP,"Can only set 128 rows at a time; trying to set %D",m);
1263   if (n > 128) SETERRQ1(PETSC_ERR_SUP,"Can only set 256 columns at a time; trying to set %D",n);
1264 
1265   for (i=0; i<m; i++) {
1266     for (j=0; j<3-sdim; j++) dxm++;
1267     tmp = *dxm++ - starts[0];
1268     for (j=0; j<sdim-1; j++) {
1269       if ((*dxm++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1270       else                                      tmp = tmp*dims[j] + *(dxm-1) - starts[j+1];
1271     }
1272     dxm++;
1273     jdxm[i] = tmp;
1274   }
1275   for (i=0; i<n; i++) {
1276     for (j=0; j<3-sdim; j++) dxn++;
1277     tmp = *dxn++ - starts[0];
1278     for (j=0; j<sdim-1; j++) {
1279       if ((*dxn++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1280       else                                       tmp = tmp*dims[j] + *(dxn-1) - starts[j+1];
1281     }
1282     dxn++;
1283     jdxn[i] = tmp;
1284   }
1285   ierr = MatSetValuesBlockedLocal(mat,m,jdxm,n,jdxn,v,addv);CHKERRQ(ierr);
1286   PetscFunctionReturn(0);
1287 }
1288 
1289 #undef __FUNCT__
1290 #define __FUNCT__ "MatSetStencil"
1291 /*@
1292    MatSetStencil - Sets the grid information for setting values into a matrix via
1293         MatSetValuesStencil()
1294 
1295    Not Collective
1296 
1297    Input Parameters:
1298 +  mat - the matrix
1299 .  dim - dimension of the grid 1, 2, or 3
1300 .  dims - number of grid points in x, y, and z direction, including ghost points on your processor
1301 .  starts - starting point of ghost nodes on your processor in x, y, and z direction
1302 -  dof - number of degrees of freedom per node
1303 
1304 
1305    Inspired by the structured grid interface to the HYPRE package
1306    (www.llnl.gov/CASC/hyper)
1307 
1308    For matrices generated with DAGetMatrix() this routine is automatically called and so not needed by the
1309    user.
1310 
1311    Level: beginner
1312 
1313    Concepts: matrices^putting entries in
1314 
1315 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1316           MatSetValues(), MatSetValuesBlockedStencil(), MatSetValuesStencil()
1317 @*/
1318 PetscErrorCode PETSCMAT_DLLEXPORT MatSetStencil(Mat mat,PetscInt dim,const PetscInt dims[],const PetscInt starts[],PetscInt dof)
1319 {
1320   PetscInt i;
1321 
1322   PetscFunctionBegin;
1323   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1324   PetscValidIntPointer(dims,3);
1325   PetscValidIntPointer(starts,4);
1326 
1327   mat->stencil.dim = dim + (dof > 1);
1328   for (i=0; i<dim; i++) {
1329     mat->stencil.dims[i]   = dims[dim-i-1];      /* copy the values in backwards */
1330     mat->stencil.starts[i] = starts[dim-i-1];
1331   }
1332   mat->stencil.dims[dim]   = dof;
1333   mat->stencil.starts[dim] = 0;
1334   mat->stencil.noc         = (PetscTruth)(dof == 1);
1335   PetscFunctionReturn(0);
1336 }
1337 
1338 #undef __FUNCT__
1339 #define __FUNCT__ "MatSetValuesBlocked"
1340 /*@
1341    MatSetValuesBlocked - Inserts or adds a block of values into a matrix.
1342 
1343    Not Collective
1344 
1345    Input Parameters:
1346 +  mat - the matrix
1347 .  v - a logically two-dimensional array of values
1348 .  m, idxm - the number of block rows and their global block indices
1349 .  n, idxn - the number of block columns and their global block indices
1350 -  addv - either ADD_VALUES or INSERT_VALUES, where
1351    ADD_VALUES adds values to any existing entries, and
1352    INSERT_VALUES replaces existing entries with new values
1353 
1354    Notes:
1355    The m and n count the NUMBER of blocks in the row direction and column direction,
1356    NOT the total number of rows/columns; for example, if the block size is 2 and
1357    you are passing in values for rows 2,3,4,5  then m would be 2 (not 4).
1358    The values in idxm would be 1 2; that is the first index for each block divided by
1359    the block size.
1360 
1361    Note that you must call MatSetBlockSize() when constructing this matrix (and before
1362    preallocating it).
1363 
1364    By default the values, v, are row-oriented and unsorted. So the layout of
1365    v is the same as for MatSetValues(). See MatSetOption() for other options.
1366 
1367    Calls to MatSetValuesBlocked() with the INSERT_VALUES and ADD_VALUES
1368    options cannot be mixed without intervening calls to the assembly
1369    routines.
1370 
1371    MatSetValuesBlocked() uses 0-based row and column numbers in Fortran
1372    as well as in C.
1373 
1374    Negative indices may be passed in idxm and idxn, these rows and columns are
1375    simply ignored. This allows easily inserting element stiffness matrices
1376    with homogeneous Dirchlet boundary conditions that you don't want represented
1377    in the matrix.
1378 
1379    Each time an entry is set within a sparse matrix via MatSetValues(),
1380    internal searching must be done to determine where to place the the
1381    data in the matrix storage space.  By instead inserting blocks of
1382    entries via MatSetValuesBlocked(), the overhead of matrix assembly is
1383    reduced.
1384 
1385    Example:
1386 $   Suppose m=n=2 and block size(bs) = 2 The array is
1387 $
1388 $   1  2  | 3  4
1389 $   5  6  | 7  8
1390 $   - - - | - - -
1391 $   9  10 | 11 12
1392 $   13 14 | 15 16
1393 $
1394 $   v[] should be passed in like
1395 $   v[] = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]
1396 $
1397 $  If you are not using row oriented storage of v (that is you called MatSetOption(mat,MAT_ROW_ORIENTED,PETSC_FALSE)) then
1398 $   v[] = [1,5,9,13,2,6,10,14,3,7,11,15,4,8,12,16]
1399 
1400    Level: intermediate
1401 
1402    Concepts: matrices^putting entries in blocked
1403 
1404 .seealso: MatSetBlockSize(), MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesBlockedLocal()
1405 @*/
1406 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlocked(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],const PetscScalar v[],InsertMode addv)
1407 {
1408   PetscErrorCode ierr;
1409 
1410   PetscFunctionBegin;
1411   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1412   PetscValidType(mat,1);
1413   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1414   PetscValidIntPointer(idxm,3);
1415   PetscValidIntPointer(idxn,5);
1416   PetscValidScalarPointer(v,6);
1417   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1418   if (mat->insertmode == NOT_SET_VALUES) {
1419     mat->insertmode = addv;
1420   }
1421 #if defined(PETSC_USE_DEBUG)
1422   else if (mat->insertmode != addv) {
1423     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1424   }
1425   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1426 #endif
1427 
1428   if (mat->assembled) {
1429     mat->was_assembled = PETSC_TRUE;
1430     mat->assembled     = PETSC_FALSE;
1431   }
1432   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1433   if (mat->ops->setvaluesblocked) {
1434     ierr = (*mat->ops->setvaluesblocked)(mat,m,idxm,n,idxn,v,addv);CHKERRQ(ierr);
1435   } else {
1436     PetscInt buf[4096],*ibufm=0,*ibufn=0;
1437     PetscInt i,j,*iidxm,*iidxn,bs=mat->rmap->bs;
1438     if ((m+n)*bs <= 4096) {
1439       iidxm = buf; iidxn = buf + m*bs;
1440     } else {
1441       ierr = PetscMalloc2(m*bs,PetscInt,&ibufm,n*bs,PetscInt,&ibufn);CHKERRQ(ierr);
1442       iidxm = ibufm; iidxn = ibufn;
1443     }
1444     for (i=0; i<m; i++) {
1445       for (j=0; j<bs; j++) {
1446 	iidxm[i*bs+j] = bs*idxm[i] + j;
1447       }
1448     }
1449     for (i=0; i<n; i++) {
1450       for (j=0; j<bs; j++) {
1451 	iidxn[i*bs+j] = bs*idxn[i] + j;
1452       }
1453     }
1454     ierr = MatSetValues(mat,bs*m,iidxm,bs*n,iidxn,v,addv);CHKERRQ(ierr);
1455     ierr = PetscFree2(ibufm,ibufn);CHKERRQ(ierr);
1456   }
1457   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1458   PetscFunctionReturn(0);
1459 }
1460 
1461 #undef __FUNCT__
1462 #define __FUNCT__ "MatGetValues"
1463 /*@
1464    MatGetValues - Gets a block of values from a matrix.
1465 
1466    Not Collective; currently only returns a local block
1467 
1468    Input Parameters:
1469 +  mat - the matrix
1470 .  v - a logically two-dimensional array for storing the values
1471 .  m, idxm - the number of rows and their global indices
1472 -  n, idxn - the number of columns and their global indices
1473 
1474    Notes:
1475    The user must allocate space (m*n PetscScalars) for the values, v.
1476    The values, v, are then returned in a row-oriented format,
1477    analogous to that used by default in MatSetValues().
1478 
1479    MatGetValues() uses 0-based row and column numbers in
1480    Fortran as well as in C.
1481 
1482    MatGetValues() requires that the matrix has been assembled
1483    with MatAssemblyBegin()/MatAssemblyEnd().  Thus, calls to
1484    MatSetValues() and MatGetValues() CANNOT be made in succession
1485    without intermediate matrix assembly.
1486 
1487    Negative row or column indices will be ignored and those locations in v[] will be
1488    left unchanged.
1489 
1490    Level: advanced
1491 
1492    Concepts: matrices^accessing values
1493 
1494 .seealso: MatGetRow(), MatGetSubMatrices(), MatSetValues()
1495 @*/
1496 PetscErrorCode PETSCMAT_DLLEXPORT MatGetValues(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
1497 {
1498   PetscErrorCode ierr;
1499 
1500   PetscFunctionBegin;
1501   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1502   PetscValidType(mat,1);
1503   PetscValidIntPointer(idxm,3);
1504   PetscValidIntPointer(idxn,5);
1505   PetscValidScalarPointer(v,6);
1506   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1507   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1508   if (!mat->ops->getvalues) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
1509   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1510 
1511   ierr = PetscLogEventBegin(MAT_GetValues,mat,0,0,0);CHKERRQ(ierr);
1512   ierr = (*mat->ops->getvalues)(mat,m,idxm,n,idxn,v);CHKERRQ(ierr);
1513   ierr = PetscLogEventEnd(MAT_GetValues,mat,0,0,0);CHKERRQ(ierr);
1514   PetscFunctionReturn(0);
1515 }
1516 
1517 #undef __FUNCT__
1518 #define __FUNCT__ "MatSetLocalToGlobalMapping"
1519 /*@
1520    MatSetLocalToGlobalMapping - Sets a local-to-global numbering for use by
1521    the routine MatSetValuesLocal() to allow users to insert matrix entries
1522    using a local (per-processor) numbering.
1523 
1524    Not Collective
1525 
1526    Input Parameters:
1527 +  x - the matrix
1528 -  mapping - mapping created with ISLocalToGlobalMappingCreate()
1529              or ISLocalToGlobalMappingCreateIS()
1530 
1531    Level: intermediate
1532 
1533    Concepts: matrices^local to global mapping
1534    Concepts: local to global mapping^for matrices
1535 
1536 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesLocal()
1537 @*/
1538 PetscErrorCode PETSCMAT_DLLEXPORT MatSetLocalToGlobalMapping(Mat x,ISLocalToGlobalMapping mapping)
1539 {
1540   PetscErrorCode ierr;
1541   PetscFunctionBegin;
1542   PetscValidHeaderSpecific(x,MAT_COOKIE,1);
1543   PetscValidType(x,1);
1544   PetscValidHeaderSpecific(mapping,IS_LTOGM_COOKIE,2);
1545   if (x->mapping) {
1546     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Mapping already set for matrix");
1547   }
1548   ierr = MatPreallocated(x);CHKERRQ(ierr);
1549 
1550   if (x->ops->setlocaltoglobalmapping) {
1551     ierr = (*x->ops->setlocaltoglobalmapping)(x,mapping);CHKERRQ(ierr);
1552   } else {
1553     ierr = PetscObjectReference((PetscObject)mapping);CHKERRQ(ierr);
1554     if (x->mapping) { ierr = ISLocalToGlobalMappingDestroy(x->mapping);CHKERRQ(ierr); }
1555     x->mapping = mapping;
1556   }
1557   PetscFunctionReturn(0);
1558 }
1559 
1560 #undef __FUNCT__
1561 #define __FUNCT__ "MatSetLocalToGlobalMappingBlock"
1562 /*@
1563    MatSetLocalToGlobalMappingBlock - Sets a local-to-global numbering for use
1564    by the routine MatSetValuesBlockedLocal() to allow users to insert matrix
1565    entries using a local (per-processor) numbering.
1566 
1567    Not Collective
1568 
1569    Input Parameters:
1570 +  x - the matrix
1571 -  mapping - mapping created with ISLocalToGlobalMappingCreate() or
1572              ISLocalToGlobalMappingCreateIS()
1573 
1574    Level: intermediate
1575 
1576    Concepts: matrices^local to global mapping blocked
1577    Concepts: local to global mapping^for matrices, blocked
1578 
1579 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesBlockedLocal(),
1580            MatSetValuesBlocked(), MatSetValuesLocal()
1581 @*/
1582 PetscErrorCode PETSCMAT_DLLEXPORT MatSetLocalToGlobalMappingBlock(Mat x,ISLocalToGlobalMapping mapping)
1583 {
1584   PetscErrorCode ierr;
1585   PetscFunctionBegin;
1586   PetscValidHeaderSpecific(x,MAT_COOKIE,1);
1587   PetscValidType(x,1);
1588   PetscValidHeaderSpecific(mapping,IS_LTOGM_COOKIE,2);
1589   if (x->bmapping) {
1590     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Mapping already set for matrix");
1591   }
1592   ierr = PetscObjectReference((PetscObject)mapping);CHKERRQ(ierr);
1593   if (x->bmapping) { ierr = ISLocalToGlobalMappingDestroy(x->bmapping);CHKERRQ(ierr); }
1594   x->bmapping = mapping;
1595   PetscFunctionReturn(0);
1596 }
1597 
1598 #undef __FUNCT__
1599 #define __FUNCT__ "MatSetValuesLocal"
1600 /*@
1601    MatSetValuesLocal - Inserts or adds values into certain locations of a matrix,
1602    using a local ordering of the nodes.
1603 
1604    Not Collective
1605 
1606    Input Parameters:
1607 +  x - the matrix
1608 .  nrow, irow - number of rows and their local indices
1609 .  ncol, icol - number of columns and their local indices
1610 .  y -  a logically two-dimensional array of values
1611 -  addv - either INSERT_VALUES or ADD_VALUES, where
1612    ADD_VALUES adds values to any existing entries, and
1613    INSERT_VALUES replaces existing entries with new values
1614 
1615    Notes:
1616    Before calling MatSetValuesLocal(), the user must first set the
1617    local-to-global mapping by calling MatSetLocalToGlobalMapping().
1618 
1619    Calls to MatSetValuesLocal() with the INSERT_VALUES and ADD_VALUES
1620    options cannot be mixed without intervening calls to the assembly
1621    routines.
1622 
1623    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
1624    MUST be called after all calls to MatSetValuesLocal() have been completed.
1625 
1626    Level: intermediate
1627 
1628    Concepts: matrices^putting entries in with local numbering
1629 
1630 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetLocalToGlobalMapping(),
1631            MatSetValueLocal()
1632 @*/
1633 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesLocal(Mat mat,PetscInt nrow,const PetscInt irow[],PetscInt ncol,const PetscInt icol[],const PetscScalar y[],InsertMode addv)
1634 {
1635   PetscErrorCode ierr;
1636   PetscInt       irowm[2048],icolm[2048];
1637 
1638   PetscFunctionBegin;
1639   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1640   PetscValidType(mat,1);
1641   if (!nrow || !ncol) PetscFunctionReturn(0); /* no values to insert */
1642   PetscValidIntPointer(irow,3);
1643   PetscValidIntPointer(icol,5);
1644   PetscValidScalarPointer(y,6);
1645   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1646   if (mat->insertmode == NOT_SET_VALUES) {
1647     mat->insertmode = addv;
1648   }
1649 #if defined(PETSC_USE_DEBUG)
1650   else if (mat->insertmode != addv) {
1651     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1652   }
1653   if (!mat->ops->setvalueslocal && (nrow > 2048 || ncol > 2048)) {
1654     SETERRQ2(PETSC_ERR_SUP,"Number column/row indices must be <= 2048: are %D %D",nrow,ncol);
1655   }
1656   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1657 #endif
1658 
1659   if (mat->assembled) {
1660     mat->was_assembled = PETSC_TRUE;
1661     mat->assembled     = PETSC_FALSE;
1662   }
1663   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1664   if (!mat->ops->setvalueslocal) {
1665     ierr = ISLocalToGlobalMappingApply(mat->mapping,nrow,irow,irowm);CHKERRQ(ierr);
1666     ierr = ISLocalToGlobalMappingApply(mat->mapping,ncol,icol,icolm);CHKERRQ(ierr);
1667     ierr = (*mat->ops->setvalues)(mat,nrow,irowm,ncol,icolm,y,addv);CHKERRQ(ierr);
1668   } else {
1669     ierr = (*mat->ops->setvalueslocal)(mat,nrow,irow,ncol,icol,y,addv);CHKERRQ(ierr);
1670   }
1671   mat->same_nonzero = PETSC_FALSE;
1672   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1673   PetscFunctionReturn(0);
1674 }
1675 
1676 #undef __FUNCT__
1677 #define __FUNCT__ "MatSetValuesBlockedLocal"
1678 /*@
1679    MatSetValuesBlockedLocal - Inserts or adds values into certain locations of a matrix,
1680    using a local ordering of the nodes a block at a time.
1681 
1682    Not Collective
1683 
1684    Input Parameters:
1685 +  x - the matrix
1686 .  nrow, irow - number of rows and their local indices
1687 .  ncol, icol - number of columns and their local indices
1688 .  y -  a logically two-dimensional array of values
1689 -  addv - either INSERT_VALUES or ADD_VALUES, where
1690    ADD_VALUES adds values to any existing entries, and
1691    INSERT_VALUES replaces existing entries with new values
1692 
1693    Notes:
1694    Before calling MatSetValuesBlockedLocal(), the user must first set the
1695    block size using MatSetBlockSize(), and the local-to-global mapping by
1696    calling MatSetLocalToGlobalMappingBlock(), where the mapping MUST be
1697    set for matrix blocks, not for matrix elements.
1698 
1699    Calls to MatSetValuesBlockedLocal() with the INSERT_VALUES and ADD_VALUES
1700    options cannot be mixed without intervening calls to the assembly
1701    routines.
1702 
1703    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
1704    MUST be called after all calls to MatSetValuesBlockedLocal() have been completed.
1705 
1706    Level: intermediate
1707 
1708    Concepts: matrices^putting blocked values in with local numbering
1709 
1710 .seealso:  MatSetBlockSize(), MatSetLocalToGlobalMappingBlock(), MatAssemblyBegin(), MatAssemblyEnd(),
1711            MatSetValuesLocal(), MatSetLocalToGlobalMappingBlock(), MatSetValuesBlocked()
1712 @*/
1713 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlockedLocal(Mat mat,PetscInt nrow,const PetscInt irow[],PetscInt ncol,const PetscInt icol[],const PetscScalar y[],InsertMode addv)
1714 {
1715   PetscErrorCode ierr;
1716   PetscInt       irowm[2048],icolm[2048];
1717 
1718   PetscFunctionBegin;
1719   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1720   PetscValidType(mat,1);
1721   if (!nrow || !ncol) PetscFunctionReturn(0); /* no values to insert */
1722   PetscValidIntPointer(irow,3);
1723   PetscValidIntPointer(icol,5);
1724   PetscValidScalarPointer(y,6);
1725   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1726   if (mat->insertmode == NOT_SET_VALUES) {
1727     mat->insertmode = addv;
1728   }
1729 #if defined(PETSC_USE_DEBUG)
1730   else if (mat->insertmode != addv) {
1731     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1732   }
1733   if (!mat->bmapping) {
1734     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Local to global never set with MatSetLocalToGlobalMappingBlock()");
1735   }
1736   if (nrow > 2048 || ncol > 2048) {
1737     SETERRQ2(PETSC_ERR_SUP,"Number column/row indices must be <= 2048: are %D %D",nrow,ncol);
1738   }
1739   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1740 #endif
1741 
1742   if (mat->assembled) {
1743     mat->was_assembled = PETSC_TRUE;
1744     mat->assembled     = PETSC_FALSE;
1745   }
1746   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1747   ierr = ISLocalToGlobalMappingApply(mat->bmapping,nrow,irow,irowm);CHKERRQ(ierr);
1748   ierr = ISLocalToGlobalMappingApply(mat->bmapping,ncol,icol,icolm);CHKERRQ(ierr);
1749   if (mat->ops->setvaluesblocked) {
1750   ierr = (*mat->ops->setvaluesblocked)(mat,nrow,irowm,ncol,icolm,y,addv);CHKERRQ(ierr);
1751   } else {
1752     PetscInt buf[4096],*ibufm=0,*ibufn=0;
1753     PetscInt i,j,*iirowm,*iicolm,bs=mat->rmap->bs;
1754     if ((nrow+ncol)*bs <= 4096) {
1755       iirowm = buf; iicolm = buf + nrow*bs;
1756     } else {
1757       ierr = PetscMalloc2(nrow*bs,PetscInt,&ibufm,ncol*bs,PetscInt,&ibufn);CHKERRQ(ierr);
1758       iirowm = ibufm; iicolm = ibufn;
1759     }
1760     for (i=0; i<nrow; i++) {
1761       for (j=0; j<bs; j++) {
1762 	iirowm[i*bs+j] = bs*irowm[i] + j;
1763       }
1764     }
1765     for (i=0; i<ncol; i++) {
1766       for (j=0; j<bs; j++) {
1767 	iicolm[i*bs+j] = bs*icolm[i] + j;
1768       }
1769     }
1770     ierr = MatSetValues(mat,bs*nrow,iirowm,bs*ncol,iicolm,y,addv);CHKERRQ(ierr);
1771     ierr = PetscFree2(ibufm,ibufn);CHKERRQ(ierr);
1772   }
1773   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1774   PetscFunctionReturn(0);
1775 }
1776 
1777 #undef __FUNCT__
1778 #define __FUNCT__ "MatMultDiagonalBlock"
1779 /*@
1780    MatMultDiagonalBlock - Computes the matrix-vector product, y = Dx. Where D is defined by the inode or block structure of the diagonal
1781 
1782    Collective on Mat and Vec
1783 
1784    Input Parameters:
1785 +  mat - the matrix
1786 -  x   - the vector to be multiplied
1787 
1788    Output Parameters:
1789 .  y - the result
1790 
1791    Notes:
1792    The vectors x and y cannot be the same.  I.e., one cannot
1793    call MatMult(A,y,y).
1794 
1795    Level: developer
1796 
1797    Concepts: matrix-vector product
1798 
1799 .seealso: MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
1800 @*/
1801 PetscErrorCode PETSCMAT_DLLEXPORT MatMultDiagonalBlock(Mat mat,Vec x,Vec y)
1802 {
1803   PetscErrorCode ierr;
1804 
1805   PetscFunctionBegin;
1806   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1807   PetscValidType(mat,1);
1808   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1809   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1810 
1811   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1812   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1813   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1814   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1815 
1816   if (!mat->ops->multdiagonalblock) SETERRQ(PETSC_ERR_SUP,"This matrix type does not have a multiply defined");
1817   ierr = (*mat->ops->multdiagonalblock)(mat,x,y);CHKERRQ(ierr);
1818   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1819   PetscFunctionReturn(0);
1820 }
1821 
1822 /* --------------------------------------------------------*/
1823 #undef __FUNCT__
1824 #define __FUNCT__ "MatMult"
1825 /*@
1826    MatMult - Computes the matrix-vector product, y = Ax.
1827 
1828    Collective on Mat and Vec
1829 
1830    Input Parameters:
1831 +  mat - the matrix
1832 -  x   - the vector to be multiplied
1833 
1834    Output Parameters:
1835 .  y - the result
1836 
1837    Notes:
1838    The vectors x and y cannot be the same.  I.e., one cannot
1839    call MatMult(A,y,y).
1840 
1841    Level: beginner
1842 
1843    Concepts: matrix-vector product
1844 
1845 .seealso: MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
1846 @*/
1847 PetscErrorCode PETSCMAT_DLLEXPORT MatMult(Mat mat,Vec x,Vec y)
1848 {
1849   PetscErrorCode ierr;
1850 
1851   PetscFunctionBegin;
1852   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1853   PetscValidType(mat,1);
1854   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1855   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1856 
1857   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1858   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1859   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1860 #ifndef PETSC_HAVE_CONSTRAINTS
1861   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
1862   if (mat->rmap->N != y->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->rmap->N,y->map->N);
1863   if (mat->rmap->n != y->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: local dim %D %D",mat->rmap->n,y->map->n);
1864 #endif
1865   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1866 
1867   if (mat->nullsp) {
1868     ierr = MatNullSpaceRemove(mat->nullsp,x,&x);CHKERRQ(ierr);
1869   }
1870 
1871   if (!mat->ops->mult) SETERRQ(PETSC_ERR_SUP,"This matrix type does not have a multiply defined");
1872   ierr = PetscLogEventBegin(MAT_Mult,mat,x,y,0);CHKERRQ(ierr);
1873   ierr = (*mat->ops->mult)(mat,x,y);CHKERRQ(ierr);
1874   ierr = PetscLogEventEnd(MAT_Mult,mat,x,y,0);CHKERRQ(ierr);
1875 
1876   if (mat->nullsp) {
1877     ierr = MatNullSpaceRemove(mat->nullsp,y,PETSC_NULL);CHKERRQ(ierr);
1878   }
1879   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1880   PetscFunctionReturn(0);
1881 }
1882 
1883 #undef __FUNCT__
1884 #define __FUNCT__ "MatMultTranspose"
1885 /*@
1886    MatMultTranspose - Computes matrix transpose times a vector.
1887 
1888    Collective on Mat and Vec
1889 
1890    Input Parameters:
1891 +  mat - the matrix
1892 -  x   - the vector to be multilplied
1893 
1894    Output Parameters:
1895 .  y - the result
1896 
1897    Notes:
1898    The vectors x and y cannot be the same.  I.e., one cannot
1899    call MatMultTranspose(A,y,y).
1900 
1901    Level: beginner
1902 
1903    Concepts: matrix vector product^transpose
1904 
1905 .seealso: MatMult(), MatMultAdd(), MatMultTransposeAdd()
1906 @*/
1907 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTranspose(Mat mat,Vec x,Vec y)
1908 {
1909   PetscErrorCode ierr;
1910 
1911   PetscFunctionBegin;
1912   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1913   PetscValidType(mat,1);
1914   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1915   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1916 
1917   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1918   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1919   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1920 #ifndef PETSC_HAVE_CONSTRAINTS
1921   if (mat->rmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->rmap->N,x->map->N);
1922   if (mat->cmap->N != y->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->cmap->N,y->map->N);
1923 #endif
1924   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1925 
1926   if (!mat->ops->multtranspose) SETERRQ(PETSC_ERR_SUP,"This matrix type does not have a multiply tranpose defined");
1927   ierr = PetscLogEventBegin(MAT_MultTranspose,mat,x,y,0);CHKERRQ(ierr);
1928   ierr = (*mat->ops->multtranspose)(mat,x,y);CHKERRQ(ierr);
1929   ierr = PetscLogEventEnd(MAT_MultTranspose,mat,x,y,0);CHKERRQ(ierr);
1930   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1931   PetscFunctionReturn(0);
1932 }
1933 
1934 #undef __FUNCT__
1935 #define __FUNCT__ "MatMultAdd"
1936 /*@
1937     MatMultAdd -  Computes v3 = v2 + A * v1.
1938 
1939     Collective on Mat and Vec
1940 
1941     Input Parameters:
1942 +   mat - the matrix
1943 -   v1, v2 - the vectors
1944 
1945     Output Parameters:
1946 .   v3 - the result
1947 
1948     Notes:
1949     The vectors v1 and v3 cannot be the same.  I.e., one cannot
1950     call MatMultAdd(A,v1,v2,v1).
1951 
1952     Level: beginner
1953 
1954     Concepts: matrix vector product^addition
1955 
1956 .seealso: MatMultTranspose(), MatMult(), MatMultTransposeAdd()
1957 @*/
1958 PetscErrorCode PETSCMAT_DLLEXPORT MatMultAdd(Mat mat,Vec v1,Vec v2,Vec v3)
1959 {
1960   PetscErrorCode ierr;
1961 
1962   PetscFunctionBegin;
1963   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1964   PetscValidType(mat,1);
1965   PetscValidHeaderSpecific(v1,VEC_COOKIE,2);
1966   PetscValidHeaderSpecific(v2,VEC_COOKIE,3);
1967   PetscValidHeaderSpecific(v3,VEC_COOKIE,4);
1968 
1969   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1970   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1971   if (mat->cmap->N != v1->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v1: global dim %D %D",mat->cmap->N,v1->map->N);
1972   /* if (mat->rmap->N != v2->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v2: global dim %D %D",mat->rmap->N,v2->map->N);
1973      if (mat->rmap->N != v3->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v3: global dim %D %D",mat->rmap->N,v3->map->N); */
1974   if (mat->rmap->n != v3->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v3: local dim %D %D",mat->rmap->n,v3->map->n);
1975   if (mat->rmap->n != v2->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v2: local dim %D %D",mat->rmap->n,v2->map->n);
1976   if (v1 == v3) SETERRQ(PETSC_ERR_ARG_IDN,"v1 and v3 must be different vectors");
1977   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1978 
1979   ierr = PetscLogEventBegin(MAT_MultAdd,mat,v1,v2,v3);CHKERRQ(ierr);
1980   ierr = (*mat->ops->multadd)(mat,v1,v2,v3);CHKERRQ(ierr);
1981   ierr = PetscLogEventEnd(MAT_MultAdd,mat,v1,v2,v3);CHKERRQ(ierr);
1982   ierr = PetscObjectStateIncrease((PetscObject)v3);CHKERRQ(ierr);
1983   PetscFunctionReturn(0);
1984 }
1985 
1986 #undef __FUNCT__
1987 #define __FUNCT__ "MatMultTransposeAdd"
1988 /*@
1989    MatMultTransposeAdd - Computes v3 = v2 + A' * v1.
1990 
1991    Collective on Mat and Vec
1992 
1993    Input Parameters:
1994 +  mat - the matrix
1995 -  v1, v2 - the vectors
1996 
1997    Output Parameters:
1998 .  v3 - the result
1999 
2000    Notes:
2001    The vectors v1 and v3 cannot be the same.  I.e., one cannot
2002    call MatMultTransposeAdd(A,v1,v2,v1).
2003 
2004    Level: beginner
2005 
2006    Concepts: matrix vector product^transpose and addition
2007 
2008 .seealso: MatMultTranspose(), MatMultAdd(), MatMult()
2009 @*/
2010 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeAdd(Mat mat,Vec v1,Vec v2,Vec v3)
2011 {
2012   PetscErrorCode ierr;
2013 
2014   PetscFunctionBegin;
2015   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2016   PetscValidType(mat,1);
2017   PetscValidHeaderSpecific(v1,VEC_COOKIE,2);
2018   PetscValidHeaderSpecific(v2,VEC_COOKIE,3);
2019   PetscValidHeaderSpecific(v3,VEC_COOKIE,4);
2020 
2021   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2022   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2023   if (!mat->ops->multtransposeadd) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2024   if (v1 == v3) SETERRQ(PETSC_ERR_ARG_IDN,"v1 and v3 must be different vectors");
2025   if (mat->rmap->N != v1->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v1: global dim %D %D",mat->rmap->N,v1->map->N);
2026   if (mat->cmap->N != v2->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v2: global dim %D %D",mat->cmap->N,v2->map->N);
2027   if (mat->cmap->N != v3->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v3: global dim %D %D",mat->cmap->N,v3->map->N);
2028   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2029 
2030   ierr = PetscLogEventBegin(MAT_MultTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2031   ierr = (*mat->ops->multtransposeadd)(mat,v1,v2,v3);CHKERRQ(ierr);
2032   ierr = PetscLogEventEnd(MAT_MultTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2033   ierr = PetscObjectStateIncrease((PetscObject)v3);CHKERRQ(ierr);
2034   PetscFunctionReturn(0);
2035 }
2036 
2037 #undef __FUNCT__
2038 #define __FUNCT__ "MatMultConstrained"
2039 /*@
2040    MatMultConstrained - The inner multiplication routine for a
2041    constrained matrix P^T A P.
2042 
2043    Collective on Mat and Vec
2044 
2045    Input Parameters:
2046 +  mat - the matrix
2047 -  x   - the vector to be multilplied
2048 
2049    Output Parameters:
2050 .  y - the result
2051 
2052    Notes:
2053    The vectors x and y cannot be the same.  I.e., one cannot
2054    call MatMult(A,y,y).
2055 
2056    Level: beginner
2057 
2058 .keywords: matrix, multiply, matrix-vector product, constraint
2059 .seealso: MatMult(), MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
2060 @*/
2061 PetscErrorCode PETSCMAT_DLLEXPORT MatMultConstrained(Mat mat,Vec x,Vec y)
2062 {
2063   PetscErrorCode ierr;
2064 
2065   PetscFunctionBegin;
2066   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2067   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
2068   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
2069   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2070   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2071   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
2072   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2073   if (mat->rmap->N != y->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->rmap->N,y->map->N);
2074   if (mat->rmap->n != y->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: local dim %D %D",mat->rmap->n,y->map->n);
2075 
2076   ierr = PetscLogEventBegin(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2077   ierr = (*mat->ops->multconstrained)(mat,x,y);CHKERRQ(ierr);
2078   ierr = PetscLogEventEnd(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2079   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
2080 
2081   PetscFunctionReturn(0);
2082 }
2083 
2084 #undef __FUNCT__
2085 #define __FUNCT__ "MatMultTransposeConstrained"
2086 /*@
2087    MatMultTransposeConstrained - The inner multiplication routine for a
2088    constrained matrix P^T A^T P.
2089 
2090    Collective on Mat and Vec
2091 
2092    Input Parameters:
2093 +  mat - the matrix
2094 -  x   - the vector to be multilplied
2095 
2096    Output Parameters:
2097 .  y - the result
2098 
2099    Notes:
2100    The vectors x and y cannot be the same.  I.e., one cannot
2101    call MatMult(A,y,y).
2102 
2103    Level: beginner
2104 
2105 .keywords: matrix, multiply, matrix-vector product, constraint
2106 .seealso: MatMult(), MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
2107 @*/
2108 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeConstrained(Mat mat,Vec x,Vec y)
2109 {
2110   PetscErrorCode ierr;
2111 
2112   PetscFunctionBegin;
2113   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2114   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
2115   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
2116   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2117   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2118   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
2119   if (mat->rmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2120   if (mat->cmap->N != y->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->rmap->N,y->map->N);
2121 
2122   ierr = PetscLogEventBegin(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2123   ierr = (*mat->ops->multtransposeconstrained)(mat,x,y);CHKERRQ(ierr);
2124   ierr = PetscLogEventEnd(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2125   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
2126 
2127   PetscFunctionReturn(0);
2128 }
2129 /* ------------------------------------------------------------*/
2130 #undef __FUNCT__
2131 #define __FUNCT__ "MatGetInfo"
2132 /*@C
2133    MatGetInfo - Returns information about matrix storage (number of
2134    nonzeros, memory, etc.).
2135 
2136    Collective on Mat if MAT_GLOBAL_MAX or MAT_GLOBAL_SUM is used
2137    as the flag
2138 
2139    Input Parameters:
2140 .  mat - the matrix
2141 
2142    Output Parameters:
2143 +  flag - flag indicating the type of parameters to be returned
2144    (MAT_LOCAL - local matrix, MAT_GLOBAL_MAX - maximum over all processors,
2145    MAT_GLOBAL_SUM - sum over all processors)
2146 -  info - matrix information context
2147 
2148    Notes:
2149    The MatInfo context contains a variety of matrix data, including
2150    number of nonzeros allocated and used, number of mallocs during
2151    matrix assembly, etc.  Additional information for factored matrices
2152    is provided (such as the fill ratio, number of mallocs during
2153    factorization, etc.).  Much of this info is printed to PETSC_STDOUT
2154    when using the runtime options
2155 $       -info -mat_view_info
2156 
2157    Example for C/C++ Users:
2158    See the file ${PETSC_DIR}/include/petscmat.h for a complete list of
2159    data within the MatInfo context.  For example,
2160 .vb
2161       MatInfo info;
2162       Mat     A;
2163       double  mal, nz_a, nz_u;
2164 
2165       MatGetInfo(A,MAT_LOCAL,&info);
2166       mal  = info.mallocs;
2167       nz_a = info.nz_allocated;
2168 .ve
2169 
2170    Example for Fortran Users:
2171    Fortran users should declare info as a double precision
2172    array of dimension MAT_INFO_SIZE, and then extract the parameters
2173    of interest.  See the file ${PETSC_DIR}/include/finclude/petscmat.h
2174    a complete list of parameter names.
2175 .vb
2176       double  precision info(MAT_INFO_SIZE)
2177       double  precision mal, nz_a
2178       Mat     A
2179       integer ierr
2180 
2181       call MatGetInfo(A,MAT_LOCAL,info,ierr)
2182       mal = info(MAT_INFO_MALLOCS)
2183       nz_a = info(MAT_INFO_NZ_ALLOCATED)
2184 .ve
2185 
2186     Level: intermediate
2187 
2188     Concepts: matrices^getting information on
2189 
2190     Developer Note: fortran interface is not autogenerated as the f90
2191     interface defintion cannot be generated correctly [due to MatInfo]
2192 
2193 @*/
2194 PetscErrorCode PETSCMAT_DLLEXPORT MatGetInfo(Mat mat,MatInfoType flag,MatInfo *info)
2195 {
2196   PetscErrorCode ierr;
2197 
2198   PetscFunctionBegin;
2199   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2200   PetscValidType(mat,1);
2201   PetscValidPointer(info,3);
2202   if (!mat->ops->getinfo) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2203   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2204   ierr = (*mat->ops->getinfo)(mat,flag,info);CHKERRQ(ierr);
2205   PetscFunctionReturn(0);
2206 }
2207 
2208 /* ----------------------------------------------------------*/
2209 #undef __FUNCT__
2210 #define __FUNCT__ "MatILUDTFactor"
2211 /*@C
2212    MatILUDTFactor - Performs a drop tolerance ILU factorization.
2213 
2214    Collective on Mat
2215 
2216    Input Parameters:
2217 +  mat - the matrix
2218 .  row - row permutation
2219 .  col - column permutation
2220 -  info - information about the factorization to be done
2221 
2222    Output Parameters:
2223 .  fact - the factored matrix
2224 
2225    Level: developer
2226 
2227    Notes:
2228    Most users should employ the simplified KSP interface for linear solvers
2229    instead of working directly with matrix algebra routines such as this.
2230    See, e.g., KSPCreate().
2231 
2232     Concepts: matrices^ILUDT factorization
2233 
2234 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
2235 @*/
2236 PetscErrorCode PETSCMAT_DLLEXPORT MatILUDTFactor(Mat mat,IS row,IS col,const MatFactorInfo *info,Mat *fact)
2237 {
2238   PetscErrorCode ierr;
2239 
2240   PetscFunctionBegin;
2241   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2242   PetscValidType(mat,1);
2243   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2244   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2245   PetscValidPointer(info,4);
2246   PetscValidPointer(fact,5);
2247   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2248   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2249   if (!mat->ops->iludtfactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2250   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
2251   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2252   ierr = PetscLogEventBegin(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2253   ierr = (*mat->ops->iludtfactor)(mat,row,col,info,fact);CHKERRQ(ierr);
2254   ierr = PetscLogEventEnd(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2255   ierr = PetscObjectStateIncrease((PetscObject)*fact);CHKERRQ(ierr);
2256 
2257   PetscFunctionReturn(0);
2258 }
2259 
2260 #undef __FUNCT__
2261 #define __FUNCT__ "MatLUFactor"
2262 /*@C
2263    MatLUFactor - Performs in-place LU factorization of matrix.
2264 
2265    Collective on Mat
2266 
2267    Input Parameters:
2268 +  mat - the matrix
2269 .  row - row permutation
2270 .  col - column permutation
2271 -  info - options for factorization, includes
2272 $          fill - expected fill as ratio of original fill.
2273 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2274 $                   Run with the option -info to determine an optimal value to use
2275 
2276    Notes:
2277    Most users should employ the simplified KSP interface for linear solvers
2278    instead of working directly with matrix algebra routines such as this.
2279    See, e.g., KSPCreate().
2280 
2281    This changes the state of the matrix to a factored matrix; it cannot be used
2282    for example with MatSetValues() unless one first calls MatSetUnfactored().
2283 
2284    Level: developer
2285 
2286    Concepts: matrices^LU factorization
2287 
2288 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(),
2289           MatGetOrdering(), MatSetUnfactored(), MatFactorInfo
2290 
2291     Developer Note: fortran interface is not autogenerated as the f90
2292     interface defintion cannot be generated correctly [due to MatFactorInfo]
2293 
2294 @*/
2295 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactor(Mat mat,IS row,IS col,const MatFactorInfo *info)
2296 {
2297   PetscErrorCode ierr;
2298 
2299   PetscFunctionBegin;
2300   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2301   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2302   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2303   PetscValidPointer(info,4);
2304   PetscValidType(mat,1);
2305   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2306   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2307   if (!mat->ops->lufactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2308   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2309 
2310   ierr = PetscLogEventBegin(MAT_LUFactor,mat,row,col,0);CHKERRQ(ierr);
2311   ierr = (*mat->ops->lufactor)(mat,row,col,info);CHKERRQ(ierr);
2312   ierr = PetscLogEventEnd(MAT_LUFactor,mat,row,col,0);CHKERRQ(ierr);
2313   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2314   PetscFunctionReturn(0);
2315 }
2316 
2317 #undef __FUNCT__
2318 #define __FUNCT__ "MatILUFactor"
2319 /*@C
2320    MatILUFactor - Performs in-place ILU factorization of matrix.
2321 
2322    Collective on Mat
2323 
2324    Input Parameters:
2325 +  mat - the matrix
2326 .  row - row permutation
2327 .  col - column permutation
2328 -  info - structure containing
2329 $      levels - number of levels of fill.
2330 $      expected fill - as ratio of original fill.
2331 $      1 or 0 - indicating force fill on diagonal (improves robustness for matrices
2332                 missing diagonal entries)
2333 
2334    Notes:
2335    Probably really in-place only when level of fill is zero, otherwise allocates
2336    new space to store factored matrix and deletes previous memory.
2337 
2338    Most users should employ the simplified KSP interface for linear solvers
2339    instead of working directly with matrix algebra routines such as this.
2340    See, e.g., KSPCreate().
2341 
2342    Level: developer
2343 
2344    Concepts: matrices^ILU factorization
2345 
2346 .seealso: MatILUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
2347 
2348     Developer Note: fortran interface is not autogenerated as the f90
2349     interface defintion cannot be generated correctly [due to MatFactorInfo]
2350 
2351 @*/
2352 PetscErrorCode PETSCMAT_DLLEXPORT MatILUFactor(Mat mat,IS row,IS col,const MatFactorInfo *info)
2353 {
2354   PetscErrorCode ierr;
2355 
2356   PetscFunctionBegin;
2357   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2358   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2359   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2360   PetscValidPointer(info,4);
2361   PetscValidType(mat,1);
2362   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
2363   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2364   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2365   if (!mat->ops->ilufactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2366   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2367 
2368   ierr = PetscLogEventBegin(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2369   ierr = (*mat->ops->ilufactor)(mat,row,col,info);CHKERRQ(ierr);
2370   ierr = PetscLogEventEnd(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2371   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2372   PetscFunctionReturn(0);
2373 }
2374 
2375 #undef __FUNCT__
2376 #define __FUNCT__ "MatLUFactorSymbolic"
2377 /*@C
2378    MatLUFactorSymbolic - Performs symbolic LU factorization of matrix.
2379    Call this routine before calling MatLUFactorNumeric().
2380 
2381    Collective on Mat
2382 
2383    Input Parameters:
2384 +  fact - the factor matrix obtained with MatGetFactor()
2385 .  mat - the matrix
2386 .  row, col - row and column permutations
2387 -  info - options for factorization, includes
2388 $          fill - expected fill as ratio of original fill.
2389 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2390 $                   Run with the option -info to determine an optimal value to use
2391 
2392 
2393    Notes:
2394    See the users manual for additional information about
2395    choosing the fill factor for better efficiency.
2396 
2397    Most users should employ the simplified KSP interface for linear solvers
2398    instead of working directly with matrix algebra routines such as this.
2399    See, e.g., KSPCreate().
2400 
2401    Level: developer
2402 
2403    Concepts: matrices^LU symbolic factorization
2404 
2405 .seealso: MatLUFactor(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
2406 
2407     Developer Note: fortran interface is not autogenerated as the f90
2408     interface defintion cannot be generated correctly [due to MatFactorInfo]
2409 
2410 @*/
2411 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactorSymbolic(Mat fact,Mat mat,IS row,IS col,const MatFactorInfo *info)
2412 {
2413   PetscErrorCode ierr;
2414 
2415   PetscFunctionBegin;
2416   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2417   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2418   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2419   PetscValidPointer(info,4);
2420   PetscValidType(mat,1);
2421   PetscValidPointer(fact,5);
2422   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2423   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2424   if (!(fact)->ops->lufactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic LU",((PetscObject)mat)->type_name);
2425   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2426 
2427   ierr = PetscLogEventBegin(MAT_LUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
2428   ierr = (fact->ops->lufactorsymbolic)(fact,mat,row,col,info);CHKERRQ(ierr);
2429   ierr = PetscLogEventEnd(MAT_LUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
2430   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2431   PetscFunctionReturn(0);
2432 }
2433 
2434 #undef __FUNCT__
2435 #define __FUNCT__ "MatLUFactorNumeric"
2436 /*@C
2437    MatLUFactorNumeric - Performs numeric LU factorization of a matrix.
2438    Call this routine after first calling MatLUFactorSymbolic().
2439 
2440    Collective on Mat
2441 
2442    Input Parameters:
2443 +  fact - the factor matrix obtained with MatGetFactor()
2444 .  mat - the matrix
2445 -  info - options for factorization
2446 
2447    Notes:
2448    See MatLUFactor() for in-place factorization.  See
2449    MatCholeskyFactorNumeric() for the symmetric, positive definite case.
2450 
2451    Most users should employ the simplified KSP interface for linear solvers
2452    instead of working directly with matrix algebra routines such as this.
2453    See, e.g., KSPCreate().
2454 
2455    Level: developer
2456 
2457    Concepts: matrices^LU numeric factorization
2458 
2459 .seealso: MatLUFactorSymbolic(), MatLUFactor(), MatCholeskyFactor()
2460 
2461     Developer Note: fortran interface is not autogenerated as the f90
2462     interface defintion cannot be generated correctly [due to MatFactorInfo]
2463 
2464 @*/
2465 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactorNumeric(Mat fact,Mat mat,const MatFactorInfo *info)
2466 {
2467   PetscErrorCode ierr;
2468 
2469   PetscFunctionBegin;
2470   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2471   PetscValidType(mat,1);
2472   PetscValidPointer(fact,2);
2473   PetscValidHeaderSpecific(fact,MAT_COOKIE,2);
2474   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2475   if (mat->rmap->N != (fact)->rmap->N || mat->cmap->N != (fact)->cmap->N) {
2476     SETERRQ4(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);
2477   }
2478   if (!(fact)->ops->lufactornumeric) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2479   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2480   ierr = PetscLogEventBegin(MAT_LUFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2481   ierr = (fact->ops->lufactornumeric)(fact,mat,info);CHKERRQ(ierr);
2482   ierr = PetscLogEventEnd(MAT_LUFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2483 
2484   ierr = MatView_Private(fact);CHKERRQ(ierr);
2485   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2486   PetscFunctionReturn(0);
2487 }
2488 
2489 #undef __FUNCT__
2490 #define __FUNCT__ "MatCholeskyFactor"
2491 /*@C
2492    MatCholeskyFactor - Performs in-place Cholesky factorization of a
2493    symmetric matrix.
2494 
2495    Collective on Mat
2496 
2497    Input Parameters:
2498 +  mat - the matrix
2499 .  perm - row and column permutations
2500 -  f - expected fill as ratio of original fill
2501 
2502    Notes:
2503    See MatLUFactor() for the nonsymmetric case.  See also
2504    MatCholeskyFactorSymbolic(), and MatCholeskyFactorNumeric().
2505 
2506    Most users should employ the simplified KSP interface for linear solvers
2507    instead of working directly with matrix algebra routines such as this.
2508    See, e.g., KSPCreate().
2509 
2510    Level: developer
2511 
2512    Concepts: matrices^Cholesky factorization
2513 
2514 .seealso: MatLUFactor(), MatCholeskyFactorSymbolic(), MatCholeskyFactorNumeric()
2515           MatGetOrdering()
2516 
2517     Developer Note: fortran interface is not autogenerated as the f90
2518     interface defintion cannot be generated correctly [due to MatFactorInfo]
2519 
2520 @*/
2521 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactor(Mat mat,IS perm,const MatFactorInfo *info)
2522 {
2523   PetscErrorCode ierr;
2524 
2525   PetscFunctionBegin;
2526   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2527   PetscValidType(mat,1);
2528   PetscValidHeaderSpecific(perm,IS_COOKIE,2);
2529   PetscValidPointer(info,3);
2530   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"Matrix must be square");
2531   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2532   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2533   if (!mat->ops->choleskyfactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2534   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2535 
2536   ierr = PetscLogEventBegin(MAT_CholeskyFactor,mat,perm,0,0);CHKERRQ(ierr);
2537   ierr = (*mat->ops->choleskyfactor)(mat,perm,info);CHKERRQ(ierr);
2538   ierr = PetscLogEventEnd(MAT_CholeskyFactor,mat,perm,0,0);CHKERRQ(ierr);
2539   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2540   PetscFunctionReturn(0);
2541 }
2542 
2543 #undef __FUNCT__
2544 #define __FUNCT__ "MatCholeskyFactorSymbolic"
2545 /*@C
2546    MatCholeskyFactorSymbolic - Performs symbolic Cholesky factorization
2547    of a symmetric matrix.
2548 
2549    Collective on Mat
2550 
2551    Input Parameters:
2552 +  fact - the factor matrix obtained with MatGetFactor()
2553 .  mat - the matrix
2554 .  perm - row and column permutations
2555 -  info - options for factorization, includes
2556 $          fill - expected fill as ratio of original fill.
2557 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2558 $                   Run with the option -info to determine an optimal value to use
2559 
2560    Notes:
2561    See MatLUFactorSymbolic() for the nonsymmetric case.  See also
2562    MatCholeskyFactor() and MatCholeskyFactorNumeric().
2563 
2564    Most users should employ the simplified KSP interface for linear solvers
2565    instead of working directly with matrix algebra routines such as this.
2566    See, e.g., KSPCreate().
2567 
2568    Level: developer
2569 
2570    Concepts: matrices^Cholesky symbolic factorization
2571 
2572 .seealso: MatLUFactorSymbolic(), MatCholeskyFactor(), MatCholeskyFactorNumeric()
2573           MatGetOrdering()
2574 
2575     Developer Note: fortran interface is not autogenerated as the f90
2576     interface defintion cannot be generated correctly [due to MatFactorInfo]
2577 
2578 @*/
2579 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactorSymbolic(Mat fact,Mat mat,IS perm,const MatFactorInfo *info)
2580 {
2581   PetscErrorCode ierr;
2582 
2583   PetscFunctionBegin;
2584   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2585   PetscValidType(mat,1);
2586   if (perm) PetscValidHeaderSpecific(perm,IS_COOKIE,2);
2587   PetscValidPointer(info,3);
2588   PetscValidPointer(fact,4);
2589   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"Matrix must be square");
2590   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2591   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2592   if (!(fact)->ops->choleskyfactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2593   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2594 
2595   ierr = PetscLogEventBegin(MAT_CholeskyFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
2596   ierr = (fact->ops->choleskyfactorsymbolic)(fact,mat,perm,info);CHKERRQ(ierr);
2597   ierr = PetscLogEventEnd(MAT_CholeskyFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
2598   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2599   PetscFunctionReturn(0);
2600 }
2601 
2602 #undef __FUNCT__
2603 #define __FUNCT__ "MatCholeskyFactorNumeric"
2604 /*@C
2605    MatCholeskyFactorNumeric - Performs numeric Cholesky factorization
2606    of a symmetric matrix. Call this routine after first calling
2607    MatCholeskyFactorSymbolic().
2608 
2609    Collective on Mat
2610 
2611    Input Parameters:
2612 +  fact - the factor matrix obtained with MatGetFactor()
2613 .  mat - the initial matrix
2614 .  info - options for factorization
2615 -  fact - the symbolic factor of mat
2616 
2617 
2618    Notes:
2619    Most users should employ the simplified KSP interface for linear solvers
2620    instead of working directly with matrix algebra routines such as this.
2621    See, e.g., KSPCreate().
2622 
2623    Level: developer
2624 
2625    Concepts: matrices^Cholesky numeric factorization
2626 
2627 .seealso: MatCholeskyFactorSymbolic(), MatCholeskyFactor(), MatLUFactorNumeric()
2628 
2629     Developer Note: fortran interface is not autogenerated as the f90
2630     interface defintion cannot be generated correctly [due to MatFactorInfo]
2631 
2632 @*/
2633 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactorNumeric(Mat fact,Mat mat,const MatFactorInfo *info)
2634 {
2635   PetscErrorCode ierr;
2636 
2637   PetscFunctionBegin;
2638   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2639   PetscValidType(mat,1);
2640   PetscValidPointer(fact,2);
2641   PetscValidHeaderSpecific(fact,MAT_COOKIE,2);
2642   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2643   if (!(fact)->ops->choleskyfactornumeric) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2644   if (mat->rmap->N != (fact)->rmap->N || mat->cmap->N != (fact)->cmap->N) {
2645     SETERRQ4(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);
2646   }
2647   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2648 
2649   ierr = PetscLogEventBegin(MAT_CholeskyFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2650   ierr = (fact->ops->choleskyfactornumeric)(fact,mat,info);CHKERRQ(ierr);
2651   ierr = PetscLogEventEnd(MAT_CholeskyFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2652 
2653   ierr = MatView_Private(fact);CHKERRQ(ierr);
2654   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2655   PetscFunctionReturn(0);
2656 }
2657 
2658 /* ----------------------------------------------------------------*/
2659 #undef __FUNCT__
2660 #define __FUNCT__ "MatSolve"
2661 /*@
2662    MatSolve - Solves A x = b, given a factored matrix.
2663 
2664    Collective on Mat and Vec
2665 
2666    Input Parameters:
2667 +  mat - the factored matrix
2668 -  b - the right-hand-side vector
2669 
2670    Output Parameter:
2671 .  x - the result vector
2672 
2673    Notes:
2674    The vectors b and x cannot be the same.  I.e., one cannot
2675    call MatSolve(A,x,x).
2676 
2677    Notes:
2678    Most users should employ the simplified KSP interface for linear solvers
2679    instead of working directly with matrix algebra routines such as this.
2680    See, e.g., KSPCreate().
2681 
2682    Level: developer
2683 
2684    Concepts: matrices^triangular solves
2685 
2686 .seealso: MatSolveAdd(), MatSolveTranspose(), MatSolveTransposeAdd()
2687 @*/
2688 PetscErrorCode PETSCMAT_DLLEXPORT MatSolve(Mat mat,Vec b,Vec x)
2689 {
2690   PetscErrorCode ierr;
2691 
2692   PetscFunctionBegin;
2693   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2694   PetscValidType(mat,1);
2695   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2696   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2697   PetscCheckSameComm(mat,1,b,2);
2698   PetscCheckSameComm(mat,1,x,3);
2699   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2700   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2701   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2702   if (mat->rmap->N != b->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
2703   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
2704   if (!mat->rmap->N && !mat->cmap->N) PetscFunctionReturn(0);
2705   if (!mat->ops->solve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2706   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2707 
2708   ierr = PetscLogEventBegin(MAT_Solve,mat,b,x,0);CHKERRQ(ierr);
2709   ierr = (*mat->ops->solve)(mat,b,x);CHKERRQ(ierr);
2710   ierr = PetscLogEventEnd(MAT_Solve,mat,b,x,0);CHKERRQ(ierr);
2711   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2712   PetscFunctionReturn(0);
2713 }
2714 
2715 #undef __FUNCT__
2716 #define __FUNCT__ "MatMatSolve_Basic"
2717 PetscErrorCode PETSCMAT_DLLEXPORT MatMatSolve_Basic(Mat A,Mat B,Mat X)
2718 {
2719   PetscErrorCode ierr;
2720   Vec            b,x;
2721   PetscInt       m,N,i;
2722   PetscScalar    *bb,*xx;
2723 
2724   PetscFunctionBegin;
2725   ierr = MatGetArray(B,&bb);CHKERRQ(ierr);
2726   ierr = MatGetArray(X,&xx);CHKERRQ(ierr);
2727   ierr = MatGetLocalSize(B,&m,PETSC_NULL);CHKERRQ(ierr);  /* number local rows */
2728   ierr = MatGetSize(B,PETSC_NULL,&N);CHKERRQ(ierr);       /* total columns in dense matrix */
2729   ierr = MatGetVecs(B,&x,&b);CHKERRQ(ierr);
2730   for (i=0; i<N; i++) {
2731     ierr = VecPlaceArray(b,bb + i*m);CHKERRQ(ierr);
2732     ierr = VecPlaceArray(x,xx + i*m);CHKERRQ(ierr);
2733     ierr = MatSolve(A,b,x);CHKERRQ(ierr);
2734     ierr = VecResetArray(x);CHKERRQ(ierr);
2735     ierr = VecResetArray(b);CHKERRQ(ierr);
2736   }
2737   ierr = VecDestroy(b);CHKERRQ(ierr);
2738   ierr = VecDestroy(x);CHKERRQ(ierr);
2739   ierr = MatRestoreArray(B,&bb);CHKERRQ(ierr);
2740   ierr = MatRestoreArray(X,&xx);CHKERRQ(ierr);
2741   PetscFunctionReturn(0);
2742 }
2743 
2744 #undef __FUNCT__
2745 #define __FUNCT__ "MatMatSolve"
2746 /*@
2747    MatMatSolve - Solves A X = B, given a factored matrix.
2748 
2749    Collective on Mat
2750 
2751    Input Parameters:
2752 +  mat - the factored matrix
2753 -  B - the right-hand-side matrix  (dense matrix)
2754 
2755    Output Parameter:
2756 .  X - the result matrix (dense matrix)
2757 
2758    Notes:
2759    The matrices b and x cannot be the same.  I.e., one cannot
2760    call MatMatSolve(A,x,x).
2761 
2762    Notes:
2763    Most users should usually employ the simplified KSP interface for linear solvers
2764    instead of working directly with matrix algebra routines such as this.
2765    See, e.g., KSPCreate(). However KSP can only solve for one vector (column of X)
2766    at a time.
2767 
2768    Level: developer
2769 
2770    Concepts: matrices^triangular solves
2771 
2772 .seealso: MatMatSolveAdd(), MatMatSolveTranspose(), MatMatSolveTransposeAdd(), MatLUFactor(), MatCholeskyFactor()
2773 @*/
2774 PetscErrorCode PETSCMAT_DLLEXPORT MatMatSolve(Mat A,Mat B,Mat X)
2775 {
2776   PetscErrorCode ierr;
2777 
2778   PetscFunctionBegin;
2779   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
2780   PetscValidType(A,1);
2781   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
2782   PetscValidHeaderSpecific(X,MAT_COOKIE,3);
2783   PetscCheckSameComm(A,1,B,2);
2784   PetscCheckSameComm(A,1,X,3);
2785   if (X == B) SETERRQ(PETSC_ERR_ARG_IDN,"X and B must be different matrices");
2786   if (!A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2787   if (A->cmap->N != X->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat A,Mat X: global dim %D %D",A->cmap->N,X->rmap->N);
2788   if (A->rmap->N != B->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat A,Mat B: global dim %D %D",A->rmap->N,B->rmap->N);
2789   if (A->rmap->n != B->rmap->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat A,Mat B: local dim %D %D",A->rmap->n,B->rmap->n);
2790   if (!A->rmap->N && !A->cmap->N) PetscFunctionReturn(0);
2791   ierr = MatPreallocated(A);CHKERRQ(ierr);
2792 
2793   ierr = PetscLogEventBegin(MAT_MatSolve,A,B,X,0);CHKERRQ(ierr);
2794   if (!A->ops->matsolve) {
2795     ierr = PetscInfo1(A,"Mat type %s using basic MatMatSolve",((PetscObject)A)->type_name);CHKERRQ(ierr);
2796     ierr = MatMatSolve_Basic(A,B,X);CHKERRQ(ierr);
2797   } else {
2798     ierr = (*A->ops->matsolve)(A,B,X);CHKERRQ(ierr);
2799   }
2800   ierr = PetscLogEventEnd(MAT_MatSolve,A,B,X,0);CHKERRQ(ierr);
2801   ierr = PetscObjectStateIncrease((PetscObject)X);CHKERRQ(ierr);
2802   PetscFunctionReturn(0);
2803 }
2804 
2805 
2806 #undef __FUNCT__
2807 #define __FUNCT__ "MatForwardSolve"
2808 /*@
2809    MatForwardSolve - Solves L x = b, given a factored matrix, A = LU, or
2810                             U^T*D^(1/2) x = b, given a factored symmetric matrix, A = U^T*D*U,
2811 
2812    Collective on Mat and Vec
2813 
2814    Input Parameters:
2815 +  mat - the factored matrix
2816 -  b - the right-hand-side vector
2817 
2818    Output Parameter:
2819 .  x - the result vector
2820 
2821    Notes:
2822    MatSolve() should be used for most applications, as it performs
2823    a forward solve followed by a backward solve.
2824 
2825    The vectors b and x cannot be the same,  i.e., one cannot
2826    call MatForwardSolve(A,x,x).
2827 
2828    For matrix in seqsbaij format with block size larger than 1,
2829    the diagonal blocks are not implemented as D = D^(1/2) * D^(1/2) yet.
2830    MatForwardSolve() solves U^T*D y = b, and
2831    MatBackwardSolve() solves U x = y.
2832    Thus they do not provide a symmetric preconditioner.
2833 
2834    Most users should employ the simplified KSP interface for linear solvers
2835    instead of working directly with matrix algebra routines such as this.
2836    See, e.g., KSPCreate().
2837 
2838    Level: developer
2839 
2840    Concepts: matrices^forward solves
2841 
2842 .seealso: MatSolve(), MatBackwardSolve()
2843 @*/
2844 PetscErrorCode PETSCMAT_DLLEXPORT MatForwardSolve(Mat mat,Vec b,Vec x)
2845 {
2846   PetscErrorCode ierr;
2847 
2848   PetscFunctionBegin;
2849   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2850   PetscValidType(mat,1);
2851   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2852   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2853   PetscCheckSameComm(mat,1,b,2);
2854   PetscCheckSameComm(mat,1,x,3);
2855   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2856   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2857   if (!mat->ops->forwardsolve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2858   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2859   if (mat->rmap->N != b->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
2860   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
2861   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2862   ierr = PetscLogEventBegin(MAT_ForwardSolve,mat,b,x,0);CHKERRQ(ierr);
2863   ierr = (*mat->ops->forwardsolve)(mat,b,x);CHKERRQ(ierr);
2864   ierr = PetscLogEventEnd(MAT_ForwardSolve,mat,b,x,0);CHKERRQ(ierr);
2865   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2866   PetscFunctionReturn(0);
2867 }
2868 
2869 #undef __FUNCT__
2870 #define __FUNCT__ "MatBackwardSolve"
2871 /*@
2872    MatBackwardSolve - Solves U x = b, given a factored matrix, A = LU.
2873                              D^(1/2) U x = b, given a factored symmetric matrix, A = U^T*D*U,
2874 
2875    Collective on Mat and Vec
2876 
2877    Input Parameters:
2878 +  mat - the factored matrix
2879 -  b - the right-hand-side vector
2880 
2881    Output Parameter:
2882 .  x - the result vector
2883 
2884    Notes:
2885    MatSolve() should be used for most applications, as it performs
2886    a forward solve followed by a backward solve.
2887 
2888    The vectors b and x cannot be the same.  I.e., one cannot
2889    call MatBackwardSolve(A,x,x).
2890 
2891    For matrix in seqsbaij format with block size larger than 1,
2892    the diagonal blocks are not implemented as D = D^(1/2) * D^(1/2) yet.
2893    MatForwardSolve() solves U^T*D y = b, and
2894    MatBackwardSolve() solves U x = y.
2895    Thus they do not provide a symmetric preconditioner.
2896 
2897    Most users should employ the simplified KSP interface for linear solvers
2898    instead of working directly with matrix algebra routines such as this.
2899    See, e.g., KSPCreate().
2900 
2901    Level: developer
2902 
2903    Concepts: matrices^backward solves
2904 
2905 .seealso: MatSolve(), MatForwardSolve()
2906 @*/
2907 PetscErrorCode PETSCMAT_DLLEXPORT MatBackwardSolve(Mat mat,Vec b,Vec x)
2908 {
2909   PetscErrorCode ierr;
2910 
2911   PetscFunctionBegin;
2912   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2913   PetscValidType(mat,1);
2914   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2915   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2916   PetscCheckSameComm(mat,1,b,2);
2917   PetscCheckSameComm(mat,1,x,3);
2918   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2919   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2920   if (!mat->ops->backwardsolve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2921   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2922   if (mat->rmap->N != b->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
2923   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
2924   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2925 
2926   ierr = PetscLogEventBegin(MAT_BackwardSolve,mat,b,x,0);CHKERRQ(ierr);
2927   ierr = (*mat->ops->backwardsolve)(mat,b,x);CHKERRQ(ierr);
2928   ierr = PetscLogEventEnd(MAT_BackwardSolve,mat,b,x,0);CHKERRQ(ierr);
2929   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2930   PetscFunctionReturn(0);
2931 }
2932 
2933 #undef __FUNCT__
2934 #define __FUNCT__ "MatSolveAdd"
2935 /*@
2936    MatSolveAdd - Computes x = y + inv(A)*b, given a factored matrix.
2937 
2938    Collective on Mat and Vec
2939 
2940    Input Parameters:
2941 +  mat - the factored matrix
2942 .  b - the right-hand-side vector
2943 -  y - the vector to be added to
2944 
2945    Output Parameter:
2946 .  x - the result vector
2947 
2948    Notes:
2949    The vectors b and x cannot be the same.  I.e., one cannot
2950    call MatSolveAdd(A,x,y,x).
2951 
2952    Most users should employ the simplified KSP interface for linear solvers
2953    instead of working directly with matrix algebra routines such as this.
2954    See, e.g., KSPCreate().
2955 
2956    Level: developer
2957 
2958    Concepts: matrices^triangular solves
2959 
2960 .seealso: MatSolve(), MatSolveTranspose(), MatSolveTransposeAdd()
2961 @*/
2962 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveAdd(Mat mat,Vec b,Vec y,Vec x)
2963 {
2964   PetscScalar    one = 1.0;
2965   Vec            tmp;
2966   PetscErrorCode ierr;
2967 
2968   PetscFunctionBegin;
2969   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2970   PetscValidType(mat,1);
2971   PetscValidHeaderSpecific(y,VEC_COOKIE,2);
2972   PetscValidHeaderSpecific(b,VEC_COOKIE,3);
2973   PetscValidHeaderSpecific(x,VEC_COOKIE,4);
2974   PetscCheckSameComm(mat,1,b,2);
2975   PetscCheckSameComm(mat,1,y,2);
2976   PetscCheckSameComm(mat,1,x,3);
2977   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2978   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2979   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2980   if (mat->rmap->N != b->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
2981   if (mat->rmap->N != y->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->rmap->N,y->map->N);
2982   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
2983   if (x->map->n != y->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Vec x,Vec y: local dim %D %D",x->map->n,y->map->n);
2984   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2985 
2986   ierr = PetscLogEventBegin(MAT_SolveAdd,mat,b,x,y);CHKERRQ(ierr);
2987   if (mat->ops->solveadd)  {
2988     ierr = (*mat->ops->solveadd)(mat,b,y,x);CHKERRQ(ierr);
2989   } else {
2990     /* do the solve then the add manually */
2991     if (x != y) {
2992       ierr = MatSolve(mat,b,x);CHKERRQ(ierr);
2993       ierr = VecAXPY(x,one,y);CHKERRQ(ierr);
2994     } else {
2995       ierr = VecDuplicate(x,&tmp);CHKERRQ(ierr);
2996       ierr = PetscLogObjectParent(mat,tmp);CHKERRQ(ierr);
2997       ierr = VecCopy(x,tmp);CHKERRQ(ierr);
2998       ierr = MatSolve(mat,b,x);CHKERRQ(ierr);
2999       ierr = VecAXPY(x,one,tmp);CHKERRQ(ierr);
3000       ierr = VecDestroy(tmp);CHKERRQ(ierr);
3001     }
3002   }
3003   ierr = PetscLogEventEnd(MAT_SolveAdd,mat,b,x,y);CHKERRQ(ierr);
3004   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3005   PetscFunctionReturn(0);
3006 }
3007 
3008 #undef __FUNCT__
3009 #define __FUNCT__ "MatSolveTranspose"
3010 /*@
3011    MatSolveTranspose - Solves A' x = b, given a factored matrix.
3012 
3013    Collective on Mat and Vec
3014 
3015    Input Parameters:
3016 +  mat - the factored matrix
3017 -  b - the right-hand-side vector
3018 
3019    Output Parameter:
3020 .  x - the result vector
3021 
3022    Notes:
3023    The vectors b and x cannot be the same.  I.e., one cannot
3024    call MatSolveTranspose(A,x,x).
3025 
3026    Most users should employ the simplified KSP interface for linear solvers
3027    instead of working directly with matrix algebra routines such as this.
3028    See, e.g., KSPCreate().
3029 
3030    Level: developer
3031 
3032    Concepts: matrices^triangular solves
3033 
3034 .seealso: MatSolve(), MatSolveAdd(), MatSolveTransposeAdd()
3035 @*/
3036 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveTranspose(Mat mat,Vec b,Vec x)
3037 {
3038   PetscErrorCode ierr;
3039 
3040   PetscFunctionBegin;
3041   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3042   PetscValidType(mat,1);
3043   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
3044   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
3045   PetscCheckSameComm(mat,1,b,2);
3046   PetscCheckSameComm(mat,1,x,3);
3047   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3048   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3049   if (!mat->ops->solvetranspose) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s",((PetscObject)mat)->type_name);
3050   if (mat->rmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->rmap->N,x->map->N);
3051   if (mat->cmap->N != b->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->cmap->N,b->map->N);
3052   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3053   ierr = PetscLogEventBegin(MAT_SolveTranspose,mat,b,x,0);CHKERRQ(ierr);
3054   ierr = (*mat->ops->solvetranspose)(mat,b,x);CHKERRQ(ierr);
3055   ierr = PetscLogEventEnd(MAT_SolveTranspose,mat,b,x,0);CHKERRQ(ierr);
3056   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3057   PetscFunctionReturn(0);
3058 }
3059 
3060 #undef __FUNCT__
3061 #define __FUNCT__ "MatSolveTransposeAdd"
3062 /*@
3063    MatSolveTransposeAdd - Computes x = y + inv(Transpose(A)) b, given a
3064                       factored matrix.
3065 
3066    Collective on Mat and Vec
3067 
3068    Input Parameters:
3069 +  mat - the factored matrix
3070 .  b - the right-hand-side vector
3071 -  y - the vector to be added to
3072 
3073    Output Parameter:
3074 .  x - the result vector
3075 
3076    Notes:
3077    The vectors b and x cannot be the same.  I.e., one cannot
3078    call MatSolveTransposeAdd(A,x,y,x).
3079 
3080    Most users should employ the simplified KSP interface for linear solvers
3081    instead of working directly with matrix algebra routines such as this.
3082    See, e.g., KSPCreate().
3083 
3084    Level: developer
3085 
3086    Concepts: matrices^triangular solves
3087 
3088 .seealso: MatSolve(), MatSolveAdd(), MatSolveTranspose()
3089 @*/
3090 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveTransposeAdd(Mat mat,Vec b,Vec y,Vec x)
3091 {
3092   PetscScalar    one = 1.0;
3093   PetscErrorCode ierr;
3094   Vec            tmp;
3095 
3096   PetscFunctionBegin;
3097   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3098   PetscValidType(mat,1);
3099   PetscValidHeaderSpecific(y,VEC_COOKIE,2);
3100   PetscValidHeaderSpecific(b,VEC_COOKIE,3);
3101   PetscValidHeaderSpecific(x,VEC_COOKIE,4);
3102   PetscCheckSameComm(mat,1,b,2);
3103   PetscCheckSameComm(mat,1,y,3);
3104   PetscCheckSameComm(mat,1,x,4);
3105   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3106   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3107   if (mat->rmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->rmap->N,x->map->N);
3108   if (mat->cmap->N != b->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->cmap->N,b->map->N);
3109   if (mat->cmap->N != y->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->cmap->N,y->map->N);
3110   if (x->map->n != y->map->n)   SETERRQ2(PETSC_ERR_ARG_SIZ,"Vec x,Vec y: local dim %D %D",x->map->n,y->map->n);
3111   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3112 
3113   ierr = PetscLogEventBegin(MAT_SolveTransposeAdd,mat,b,x,y);CHKERRQ(ierr);
3114   if (mat->ops->solvetransposeadd) {
3115     ierr = (*mat->ops->solvetransposeadd)(mat,b,y,x);CHKERRQ(ierr);
3116   } else {
3117     /* do the solve then the add manually */
3118     if (x != y) {
3119       ierr = MatSolveTranspose(mat,b,x);CHKERRQ(ierr);
3120       ierr = VecAXPY(x,one,y);CHKERRQ(ierr);
3121     } else {
3122       ierr = VecDuplicate(x,&tmp);CHKERRQ(ierr);
3123       ierr = PetscLogObjectParent(mat,tmp);CHKERRQ(ierr);
3124       ierr = VecCopy(x,tmp);CHKERRQ(ierr);
3125       ierr = MatSolveTranspose(mat,b,x);CHKERRQ(ierr);
3126       ierr = VecAXPY(x,one,tmp);CHKERRQ(ierr);
3127       ierr = VecDestroy(tmp);CHKERRQ(ierr);
3128     }
3129   }
3130   ierr = PetscLogEventEnd(MAT_SolveTransposeAdd,mat,b,x,y);CHKERRQ(ierr);
3131   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3132   PetscFunctionReturn(0);
3133 }
3134 /* ----------------------------------------------------------------*/
3135 
3136 #undef __FUNCT__
3137 #define __FUNCT__ "MatSOR"
3138 /*@
3139    MatSOR - Computes relaxation (SOR, Gauss-Seidel) sweeps.
3140 
3141    Collective on Mat and Vec
3142 
3143    Input Parameters:
3144 +  mat - the matrix
3145 .  b - the right hand side
3146 .  omega - the relaxation factor
3147 .  flag - flag indicating the type of SOR (see below)
3148 .  shift -  diagonal shift
3149 .  its - the number of iterations
3150 -  lits - the number of local iterations
3151 
3152    Output Parameters:
3153 .  x - the solution (can contain an initial guess, use option SOR_ZERO_INITIAL_GUESS to indicate no guess)
3154 
3155    SOR Flags:
3156 .     SOR_FORWARD_SWEEP - forward SOR
3157 .     SOR_BACKWARD_SWEEP - backward SOR
3158 .     SOR_SYMMETRIC_SWEEP - SSOR (symmetric SOR)
3159 .     SOR_LOCAL_FORWARD_SWEEP - local forward SOR
3160 .     SOR_LOCAL_BACKWARD_SWEEP - local forward SOR
3161 .     SOR_LOCAL_SYMMETRIC_SWEEP - local SSOR
3162 .     SOR_APPLY_UPPER, SOR_APPLY_LOWER - applies
3163          upper/lower triangular part of matrix to
3164          vector (with omega)
3165 .     SOR_ZERO_INITIAL_GUESS - zero initial guess
3166 
3167    Notes:
3168    SOR_LOCAL_FORWARD_SWEEP, SOR_LOCAL_BACKWARD_SWEEP, and
3169    SOR_LOCAL_SYMMETRIC_SWEEP perform separate independent smoothings
3170    on each processor.
3171 
3172    Application programmers will not generally use MatSOR() directly,
3173    but instead will employ the KSP/PC interface.
3174 
3175    Notes: for BAIJ, SBAIJ, and AIJ matrices with Inodes this does a block SOR smoothing, otherwise it does a pointwise smoothing
3176 
3177    Notes for Advanced Users:
3178    The flags are implemented as bitwise inclusive or operations.
3179    For example, use (SOR_ZERO_INITIAL_GUESS | SOR_SYMMETRIC_SWEEP)
3180    to specify a zero initial guess for SSOR.
3181 
3182    Most users should employ the simplified KSP interface for linear solvers
3183    instead of working directly with matrix algebra routines such as this.
3184    See, e.g., KSPCreate().
3185 
3186 
3187    Level: developer
3188 
3189    Concepts: matrices^relaxation
3190    Concepts: matrices^SOR
3191    Concepts: matrices^Gauss-Seidel
3192 
3193 @*/
3194 PetscErrorCode PETSCMAT_DLLEXPORT MatSOR(Mat mat,Vec b,PetscReal omega,MatSORType flag,PetscReal shift,PetscInt its,PetscInt lits,Vec x)
3195 {
3196   PetscErrorCode ierr;
3197 
3198   PetscFunctionBegin;
3199   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3200   PetscValidType(mat,1);
3201   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
3202   PetscValidHeaderSpecific(x,VEC_COOKIE,8);
3203   PetscCheckSameComm(mat,1,b,2);
3204   PetscCheckSameComm(mat,1,x,8);
3205   if (!mat->ops->sor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3206   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3207   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3208   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
3209   if (mat->rmap->N != b->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
3210   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
3211   if (its <= 0) SETERRQ1(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D positive",its);
3212   if (lits <= 0) SETERRQ1(PETSC_ERR_ARG_WRONG,"Relaxation requires local its %D positive",lits);
3213 
3214   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3215   ierr = PetscLogEventBegin(MAT_SOR,mat,b,x,0);CHKERRQ(ierr);
3216   ierr =(*mat->ops->sor)(mat,b,omega,flag,shift,its,lits,x);CHKERRQ(ierr);
3217   ierr = PetscLogEventEnd(MAT_SOR,mat,b,x,0);CHKERRQ(ierr);
3218   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3219   PetscFunctionReturn(0);
3220 }
3221 
3222 #undef __FUNCT__
3223 #define __FUNCT__ "MatCopy_Basic"
3224 /*
3225       Default matrix copy routine.
3226 */
3227 PetscErrorCode MatCopy_Basic(Mat A,Mat B,MatStructure str)
3228 {
3229   PetscErrorCode    ierr;
3230   PetscInt          i,rstart,rend,nz;
3231   const PetscInt    *cwork;
3232   const PetscScalar *vwork;
3233 
3234   PetscFunctionBegin;
3235   if (B->assembled) {
3236     ierr = MatZeroEntries(B);CHKERRQ(ierr);
3237   }
3238   ierr = MatGetOwnershipRange(A,&rstart,&rend);CHKERRQ(ierr);
3239   for (i=rstart; i<rend; i++) {
3240     ierr = MatGetRow(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
3241     ierr = MatSetValues(B,1,&i,nz,cwork,vwork,INSERT_VALUES);CHKERRQ(ierr);
3242     ierr = MatRestoreRow(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
3243   }
3244   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3245   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3246   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3247   PetscFunctionReturn(0);
3248 }
3249 
3250 #undef __FUNCT__
3251 #define __FUNCT__ "MatCopy"
3252 /*@
3253    MatCopy - Copys a matrix to another matrix.
3254 
3255    Collective on Mat
3256 
3257    Input Parameters:
3258 +  A - the matrix
3259 -  str - SAME_NONZERO_PATTERN or DIFFERENT_NONZERO_PATTERN
3260 
3261    Output Parameter:
3262 .  B - where the copy is put
3263 
3264    Notes:
3265    If you use SAME_NONZERO_PATTERN then the two matrices had better have the
3266    same nonzero pattern or the routine will crash.
3267 
3268    MatCopy() copies the matrix entries of a matrix to another existing
3269    matrix (after first zeroing the second matrix).  A related routine is
3270    MatConvert(), which first creates a new matrix and then copies the data.
3271 
3272    Level: intermediate
3273 
3274    Concepts: matrices^copying
3275 
3276 .seealso: MatConvert(), MatDuplicate()
3277 
3278 @*/
3279 PetscErrorCode PETSCMAT_DLLEXPORT MatCopy(Mat A,Mat B,MatStructure str)
3280 {
3281   PetscErrorCode ierr;
3282   PetscInt       i;
3283 
3284   PetscFunctionBegin;
3285   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
3286   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
3287   PetscValidType(A,1);
3288   PetscValidType(B,2);
3289   PetscCheckSameComm(A,1,B,2);
3290   ierr = MatPreallocated(B);CHKERRQ(ierr);
3291   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3292   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3293   if (A->rmap->N != B->rmap->N || A->cmap->N != B->cmap->N) SETERRQ4(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);
3294   ierr = MatPreallocated(A);CHKERRQ(ierr);
3295 
3296   ierr = PetscLogEventBegin(MAT_Copy,A,B,0,0);CHKERRQ(ierr);
3297   if (A->ops->copy) {
3298     ierr = (*A->ops->copy)(A,B,str);CHKERRQ(ierr);
3299   } else { /* generic conversion */
3300     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
3301   }
3302   if (A->mapping) {
3303     if (B->mapping) {ierr = ISLocalToGlobalMappingDestroy(B->mapping);CHKERRQ(ierr);B->mapping = 0;}
3304     ierr = MatSetLocalToGlobalMapping(B,A->mapping);CHKERRQ(ierr);
3305   }
3306   if (A->bmapping) {
3307     if (B->bmapping) {ierr = ISLocalToGlobalMappingDestroy(B->bmapping);CHKERRQ(ierr);B->bmapping = 0;}
3308     ierr = MatSetLocalToGlobalMappingBlock(B,A->mapping);CHKERRQ(ierr);
3309   }
3310 
3311   B->stencil.dim = A->stencil.dim;
3312   B->stencil.noc = A->stencil.noc;
3313   for (i=0; i<=A->stencil.dim; i++) {
3314     B->stencil.dims[i]   = A->stencil.dims[i];
3315     B->stencil.starts[i] = A->stencil.starts[i];
3316   }
3317 
3318   ierr = PetscLogEventEnd(MAT_Copy,A,B,0,0);CHKERRQ(ierr);
3319   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3320   PetscFunctionReturn(0);
3321 }
3322 
3323 #undef __FUNCT__
3324 #define __FUNCT__ "MatConvert"
3325 /*@C
3326    MatConvert - Converts a matrix to another matrix, either of the same
3327    or different type.
3328 
3329    Collective on Mat
3330 
3331    Input Parameters:
3332 +  mat - the matrix
3333 .  newtype - new matrix type.  Use MATSAME to create a new matrix of the
3334    same type as the original matrix.
3335 -  reuse - denotes if the destination matrix is to be created or reused.  Currently
3336    MAT_REUSE_MATRIX is only supported for inplace conversion, otherwise use
3337    MAT_INITIAL_MATRIX.
3338 
3339    Output Parameter:
3340 .  M - pointer to place new matrix
3341 
3342    Notes:
3343    MatConvert() first creates a new matrix and then copies the data from
3344    the first matrix.  A related routine is MatCopy(), which copies the matrix
3345    entries of one matrix to another already existing matrix context.
3346 
3347    Cannot be used to convert a sequential matrix to parallel or parallel to sequential,
3348    the MPI communicator of the generated matrix is always the same as the communicator
3349    of the input matrix.
3350 
3351    Level: intermediate
3352 
3353    Concepts: matrices^converting between storage formats
3354 
3355 .seealso: MatCopy(), MatDuplicate()
3356 @*/
3357 PetscErrorCode PETSCMAT_DLLEXPORT MatConvert(Mat mat, const MatType newtype,MatReuse reuse,Mat *M)
3358 {
3359   PetscErrorCode         ierr;
3360   PetscTruth             sametype,issame,flg;
3361   char                   convname[256],mtype[256];
3362   Mat                    B;
3363 
3364   PetscFunctionBegin;
3365   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3366   PetscValidType(mat,1);
3367   PetscValidPointer(M,3);
3368   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3369   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3370   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3371 
3372   ierr = PetscOptionsGetString(((PetscObject)mat)->prefix,"-matconvert_type",mtype,256,&flg);CHKERRQ(ierr);
3373   if (flg) {
3374     newtype = mtype;
3375   }
3376   ierr = PetscTypeCompare((PetscObject)mat,newtype,&sametype);CHKERRQ(ierr);
3377   ierr = PetscStrcmp(newtype,"same",&issame);CHKERRQ(ierr);
3378   if ((reuse == MAT_REUSE_MATRIX) && (mat != *M)) {
3379     SETERRQ(PETSC_ERR_SUP,"MAT_REUSE_MATRIX only supported for in-place conversion currently");
3380   }
3381 
3382   if ((reuse == MAT_REUSE_MATRIX) && (issame || sametype)) PetscFunctionReturn(0);
3383 
3384   if ((sametype || issame) && (reuse==MAT_INITIAL_MATRIX) && mat->ops->duplicate) {
3385     ierr = (*mat->ops->duplicate)(mat,MAT_COPY_VALUES,M);CHKERRQ(ierr);
3386   } else {
3387     PetscErrorCode (*conv)(Mat, const MatType,MatReuse,Mat*)=PETSC_NULL;
3388     const char     *prefix[3] = {"seq","mpi",""};
3389     PetscInt       i;
3390     /*
3391        Order of precedence:
3392        1) See if a specialized converter is known to the current matrix.
3393        2) See if a specialized converter is known to the desired matrix class.
3394        3) See if a good general converter is registered for the desired class
3395           (as of 6/27/03 only MATMPIADJ falls into this category).
3396        4) See if a good general converter is known for the current matrix.
3397        5) Use a really basic converter.
3398     */
3399 
3400     /* 1) See if a specialized converter is known to the current matrix and the desired class */
3401     for (i=0; i<3; i++) {
3402       ierr = PetscStrcpy(convname,"MatConvert_");CHKERRQ(ierr);
3403       ierr = PetscStrcat(convname,((PetscObject)mat)->type_name);CHKERRQ(ierr);
3404       ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
3405       ierr = PetscStrcat(convname,prefix[i]);CHKERRQ(ierr);
3406       ierr = PetscStrcat(convname,newtype);CHKERRQ(ierr);
3407       ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3408       ierr = PetscObjectQueryFunction((PetscObject)mat,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3409       if (conv) goto foundconv;
3410     }
3411 
3412     /* 2)  See if a specialized converter is known to the desired matrix class. */
3413     ierr = MatCreate(((PetscObject)mat)->comm,&B);CHKERRQ(ierr);
3414     ierr = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->N,mat->cmap->N);CHKERRQ(ierr);
3415     ierr = MatSetType(B,newtype);CHKERRQ(ierr);
3416     for (i=0; i<3; i++) {
3417       ierr = PetscStrcpy(convname,"MatConvert_");CHKERRQ(ierr);
3418       ierr = PetscStrcat(convname,((PetscObject)mat)->type_name);CHKERRQ(ierr);
3419       ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
3420       ierr = PetscStrcat(convname,prefix[i]);CHKERRQ(ierr);
3421       ierr = PetscStrcat(convname,newtype);CHKERRQ(ierr);
3422       ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3423       ierr = PetscObjectQueryFunction((PetscObject)B,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3424       if (conv) {
3425         ierr = MatDestroy(B);CHKERRQ(ierr);
3426         goto foundconv;
3427       }
3428     }
3429 
3430     /* 3) See if a good general converter is registered for the desired class */
3431     conv = B->ops->convertfrom;
3432     ierr = MatDestroy(B);CHKERRQ(ierr);
3433     if (conv) goto foundconv;
3434 
3435     /* 4) See if a good general converter is known for the current matrix */
3436     if (mat->ops->convert) {
3437       conv = mat->ops->convert;
3438     }
3439     if (conv) goto foundconv;
3440 
3441     /* 5) Use a really basic converter. */
3442     conv = MatConvert_Basic;
3443 
3444     foundconv:
3445     ierr = PetscLogEventBegin(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3446     ierr = (*conv)(mat,newtype,reuse,M);CHKERRQ(ierr);
3447     ierr = PetscLogEventEnd(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3448   }
3449   ierr = PetscObjectStateIncrease((PetscObject)*M);CHKERRQ(ierr);
3450   PetscFunctionReturn(0);
3451 }
3452 
3453 #undef __FUNCT__
3454 #define __FUNCT__ "MatFactorGetSolverPackage"
3455 /*@C
3456    MatFactorGetSolverPackage - Returns name of the package providing the factorization routines
3457 
3458    Not Collective
3459 
3460    Input Parameter:
3461 .  mat - the matrix, must be a factored matrix
3462 
3463    Output Parameter:
3464 .   type - the string name of the package (do not free this string)
3465 
3466    Notes:
3467       In Fortran you pass in a empty string and the package name will be copied into it.
3468     (Make sure the string is long enough)
3469 
3470    Level: intermediate
3471 
3472 .seealso: MatCopy(), MatDuplicate(), MatGetFactorAvailable(), MatGetFactor()
3473 @*/
3474 PetscErrorCode PETSCMAT_DLLEXPORT MatFactorGetSolverPackage(Mat mat, const MatSolverPackage *type)
3475 {
3476   PetscErrorCode         ierr;
3477   PetscErrorCode         (*conv)(Mat,const MatSolverPackage*);
3478 
3479   PetscFunctionBegin;
3480   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3481   PetscValidType(mat,1);
3482   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
3483   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatFactorGetSolverPackage_C",(void (**)(void))&conv);CHKERRQ(ierr);
3484   if (!conv) {
3485     *type = MAT_SOLVER_PETSC;
3486   } else {
3487     ierr = (*conv)(mat,type);CHKERRQ(ierr);
3488   }
3489   PetscFunctionReturn(0);
3490 }
3491 
3492 #undef __FUNCT__
3493 #define __FUNCT__ "MatGetFactor"
3494 /*@C
3495    MatGetFactor - Returns a matrix suitable to calls to MatXXFactorSymbolic()
3496 
3497    Collective on Mat
3498 
3499    Input Parameters:
3500 +  mat - the matrix
3501 .  type - name of solver type, for example, spooles, superlu, plapack, petsc (to use PETSc's default)
3502 -  ftype - factor type, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ICC, MAT_FACTOR_ILU,
3503 
3504    Output Parameters:
3505 .  f - the factor matrix used with MatXXFactorSymbolic() calls
3506 
3507    Notes:
3508       Some PETSc matrix formats have alternative solvers available that are contained in alternative packages
3509      such as pastix, superlu, mumps, spooles etc.
3510 
3511       PETSc must have been config/configure.py to use the external solver, using the option --download-package
3512 
3513    Level: intermediate
3514 
3515 .seealso: MatCopy(), MatDuplicate(), MatGetFactorAvailable()
3516 @*/
3517 PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor(Mat mat, const MatSolverPackage type,MatFactorType ftype,Mat *f)
3518 {
3519   PetscErrorCode         ierr;
3520   char                   convname[256];
3521   PetscErrorCode         (*conv)(Mat,MatFactorType,Mat*);
3522 
3523   PetscFunctionBegin;
3524   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3525   PetscValidType(mat,1);
3526 
3527   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3528   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3529 
3530   ierr = PetscStrcpy(convname,"MatGetFactor_");CHKERRQ(ierr);
3531   ierr = PetscStrcat(convname,type);CHKERRQ(ierr);
3532   ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3533   ierr = PetscObjectQueryFunction((PetscObject)mat,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3534   if (!conv) {
3535     PetscTruth flag;
3536     ierr = PetscStrcasecmp(MAT_SOLVER_PETSC,type,&flag);CHKERRQ(ierr);
3537     if (flag) {
3538       SETERRQ1(PETSC_ERR_SUP,"Matrix format %s does not have a built-in PETSc direct solver",((PetscObject)mat)->type_name);
3539     } else {
3540       SETERRQ3(PETSC_ERR_SUP,"Matrix format %s does not have a solver %s. Perhaps you must config/configure.py with --download-%s",((PetscObject)mat)->type_name,type,type);
3541     }
3542   }
3543   ierr = (*conv)(mat,ftype,f);CHKERRQ(ierr);
3544   PetscFunctionReturn(0);
3545 }
3546 
3547 #undef __FUNCT__
3548 #define __FUNCT__ "MatGetFactorAvailable"
3549 /*@C
3550    MatGetFactorAvailable - Returns a a flag if matrix supports particular package and factor type
3551 
3552    Collective on Mat
3553 
3554    Input Parameters:
3555 +  mat - the matrix
3556 .  type - name of solver type, for example, spooles, superlu, plapack, petsc (to use PETSc's default)
3557 -  ftype - factor type, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ICC, MAT_FACTOR_ILU,
3558 
3559    Output Parameter:
3560 .    flg - PETSC_TRUE if the factorization is available
3561 
3562    Notes:
3563       Some PETSc matrix formats have alternative solvers available that are contained in alternative packages
3564      such as pastix, superlu, mumps, spooles etc.
3565 
3566       PETSc must have been config/configure.py to use the external solver, using the option --download-package
3567 
3568    Level: intermediate
3569 
3570 .seealso: MatCopy(), MatDuplicate(), MatGetFactor()
3571 @*/
3572 PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactorAvailable(Mat mat, const MatSolverPackage type,MatFactorType ftype,PetscTruth *flg)
3573 {
3574   PetscErrorCode         ierr;
3575   char                   convname[256];
3576   PetscErrorCode         (*conv)(Mat,MatFactorType,PetscTruth*);
3577 
3578   PetscFunctionBegin;
3579   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3580   PetscValidType(mat,1);
3581 
3582   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3583   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3584 
3585   ierr = PetscStrcpy(convname,"MatGetFactorAvailable_");CHKERRQ(ierr);
3586   ierr = PetscStrcat(convname,type);CHKERRQ(ierr);
3587   ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3588   ierr = PetscObjectQueryFunction((PetscObject)mat,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3589   if (!conv) {
3590     *flg = PETSC_FALSE;
3591   } else {
3592     ierr = (*conv)(mat,ftype,flg);CHKERRQ(ierr);
3593   }
3594   PetscFunctionReturn(0);
3595 }
3596 
3597 
3598 #undef __FUNCT__
3599 #define __FUNCT__ "MatDuplicate"
3600 /*@
3601    MatDuplicate - Duplicates a matrix including the non-zero structure.
3602 
3603    Collective on Mat
3604 
3605    Input Parameters:
3606 +  mat - the matrix
3607 -  op - either MAT_DO_NOT_COPY_VALUES or MAT_COPY_VALUES, cause it to copy the numerical values in the matrix
3608         MAT_SHARE_NONZERO_PATTERN to share the nonzero patterns with the previous matrix and not copy them.
3609 
3610    Output Parameter:
3611 .  M - pointer to place new matrix
3612 
3613    Level: intermediate
3614 
3615    Concepts: matrices^duplicating
3616 
3617     Notes: You cannot change the nonzero pattern for the parent or child matrix if you use MAT_SHARE_NONZERO_PATTERN.
3618 
3619 .seealso: MatCopy(), MatConvert()
3620 @*/
3621 PetscErrorCode PETSCMAT_DLLEXPORT MatDuplicate(Mat mat,MatDuplicateOption op,Mat *M)
3622 {
3623   PetscErrorCode ierr;
3624   Mat            B;
3625   PetscInt       i;
3626 
3627   PetscFunctionBegin;
3628   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3629   PetscValidType(mat,1);
3630   PetscValidPointer(M,3);
3631   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3632   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3633   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3634 
3635   *M  = 0;
3636   if (!mat->ops->duplicate) {
3637     SETERRQ(PETSC_ERR_SUP,"Not written for this matrix type");
3638   }
3639   ierr = PetscLogEventBegin(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3640   ierr = (*mat->ops->duplicate)(mat,op,M);CHKERRQ(ierr);
3641   B = *M;
3642   if (mat->mapping) {
3643     ierr = MatSetLocalToGlobalMapping(B,mat->mapping);CHKERRQ(ierr);
3644   }
3645   if (mat->bmapping) {
3646     ierr = MatSetLocalToGlobalMappingBlock(B,mat->bmapping);CHKERRQ(ierr);
3647   }
3648   ierr = PetscLayoutCopy(mat->rmap,&B->rmap);CHKERRQ(ierr);
3649   ierr = PetscLayoutCopy(mat->cmap,&B->cmap);CHKERRQ(ierr);
3650 
3651   B->stencil.dim = mat->stencil.dim;
3652   B->stencil.noc = mat->stencil.noc;
3653   for (i=0; i<=mat->stencil.dim; i++) {
3654     B->stencil.dims[i]   = mat->stencil.dims[i];
3655     B->stencil.starts[i] = mat->stencil.starts[i];
3656   }
3657 
3658   ierr = PetscLogEventEnd(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3659   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3660   PetscFunctionReturn(0);
3661 }
3662 
3663 #undef __FUNCT__
3664 #define __FUNCT__ "MatGetDiagonal"
3665 /*@
3666    MatGetDiagonal - Gets the diagonal of a matrix.
3667 
3668    Collective on Mat and Vec
3669 
3670    Input Parameters:
3671 +  mat - the matrix
3672 -  v - the vector for storing the diagonal
3673 
3674    Output Parameter:
3675 .  v - the diagonal of the matrix
3676 
3677    Level: intermediate
3678 
3679    Concepts: matrices^accessing diagonals
3680 
3681 .seealso: MatGetRow(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs()
3682 @*/
3683 PetscErrorCode PETSCMAT_DLLEXPORT MatGetDiagonal(Mat mat,Vec v)
3684 {
3685   PetscErrorCode ierr;
3686 
3687   PetscFunctionBegin;
3688   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3689   PetscValidType(mat,1);
3690   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3691   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3692   if (!mat->ops->getdiagonal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3693   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3694 
3695   ierr = (*mat->ops->getdiagonal)(mat,v);CHKERRQ(ierr);
3696   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3697   PetscFunctionReturn(0);
3698 }
3699 
3700 #undef __FUNCT__
3701 #define __FUNCT__ "MatGetRowMin"
3702 /*@
3703    MatGetRowMin - Gets the minimum value (of the real part) of each
3704         row of the matrix
3705 
3706    Collective on Mat and Vec
3707 
3708    Input Parameters:
3709 .  mat - the matrix
3710 
3711    Output Parameter:
3712 +  v - the vector for storing the maximums
3713 -  idx - the indices of the column found for each row (optional)
3714 
3715    Level: intermediate
3716 
3717    Notes: The result of this call are the same as if one converted the matrix to dense format
3718       and found the minimum value in each row (i.e. the implicit zeros are counted as zeros).
3719 
3720     This code is only implemented for a couple of matrix formats.
3721 
3722    Concepts: matrices^getting row maximums
3723 
3724 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs(),
3725           MatGetRowMax()
3726 @*/
3727 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMin(Mat mat,Vec v,PetscInt idx[])
3728 {
3729   PetscErrorCode ierr;
3730 
3731   PetscFunctionBegin;
3732   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3733   PetscValidType(mat,1);
3734   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3735   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3736   if (!mat->ops->getrowmax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3737   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3738 
3739   ierr = (*mat->ops->getrowmin)(mat,v,idx);CHKERRQ(ierr);
3740   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3741   PetscFunctionReturn(0);
3742 }
3743 
3744 #undef __FUNCT__
3745 #define __FUNCT__ "MatGetRowMinAbs"
3746 /*@
3747    MatGetRowMinAbs - Gets the minimum value (in absolute value) of each
3748         row of the matrix
3749 
3750    Collective on Mat and Vec
3751 
3752    Input Parameters:
3753 .  mat - the matrix
3754 
3755    Output Parameter:
3756 +  v - the vector for storing the minimums
3757 -  idx - the indices of the column found for each row (optional)
3758 
3759    Level: intermediate
3760 
3761    Notes: if a row is completely empty or has only 0.0 values then the idx[] value for that
3762     row is 0 (the first column).
3763 
3764     This code is only implemented for a couple of matrix formats.
3765 
3766    Concepts: matrices^getting row maximums
3767 
3768 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMaxAbs(), MatGetRowMin()
3769 @*/
3770 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMinAbs(Mat mat,Vec v,PetscInt idx[])
3771 {
3772   PetscErrorCode ierr;
3773 
3774   PetscFunctionBegin;
3775   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3776   PetscValidType(mat,1);
3777   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3778   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3779   if (!mat->ops->getrowminabs) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3780   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3781   if (idx) {ierr = PetscMemzero(idx,mat->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);}
3782 
3783   ierr = (*mat->ops->getrowminabs)(mat,v,idx);CHKERRQ(ierr);
3784   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3785   PetscFunctionReturn(0);
3786 }
3787 
3788 #undef __FUNCT__
3789 #define __FUNCT__ "MatGetRowMax"
3790 /*@
3791    MatGetRowMax - Gets the maximum value (of the real part) of each
3792         row of the matrix
3793 
3794    Collective on Mat and Vec
3795 
3796    Input Parameters:
3797 .  mat - the matrix
3798 
3799    Output Parameter:
3800 +  v - the vector for storing the maximums
3801 -  idx - the indices of the column found for each row (optional)
3802 
3803    Level: intermediate
3804 
3805    Notes: The result of this call are the same as if one converted the matrix to dense format
3806       and found the minimum value in each row (i.e. the implicit zeros are counted as zeros).
3807 
3808     This code is only implemented for a couple of matrix formats.
3809 
3810    Concepts: matrices^getting row maximums
3811 
3812 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs(), MatGetRowMin()
3813 @*/
3814 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMax(Mat mat,Vec v,PetscInt idx[])
3815 {
3816   PetscErrorCode ierr;
3817 
3818   PetscFunctionBegin;
3819   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3820   PetscValidType(mat,1);
3821   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3822   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3823   if (!mat->ops->getrowmax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3824   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3825 
3826   ierr = (*mat->ops->getrowmax)(mat,v,idx);CHKERRQ(ierr);
3827   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3828   PetscFunctionReturn(0);
3829 }
3830 
3831 #undef __FUNCT__
3832 #define __FUNCT__ "MatGetRowMaxAbs"
3833 /*@
3834    MatGetRowMaxAbs - Gets the maximum value (in absolute value) of each
3835         row of the matrix
3836 
3837    Collective on Mat and Vec
3838 
3839    Input Parameters:
3840 .  mat - the matrix
3841 
3842    Output Parameter:
3843 +  v - the vector for storing the maximums
3844 -  idx - the indices of the column found for each row (optional)
3845 
3846    Level: intermediate
3847 
3848    Notes: if a row is completely empty or has only 0.0 values then the idx[] value for that
3849     row is 0 (the first column).
3850 
3851     This code is only implemented for a couple of matrix formats.
3852 
3853    Concepts: matrices^getting row maximums
3854 
3855 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMin()
3856 @*/
3857 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMaxAbs(Mat mat,Vec v,PetscInt idx[])
3858 {
3859   PetscErrorCode ierr;
3860 
3861   PetscFunctionBegin;
3862   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3863   PetscValidType(mat,1);
3864   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3865   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3866   if (!mat->ops->getrowmaxabs) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3867   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3868   if (idx) {ierr = PetscMemzero(idx,mat->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);}
3869 
3870   ierr = (*mat->ops->getrowmaxabs)(mat,v,idx);CHKERRQ(ierr);
3871   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3872   PetscFunctionReturn(0);
3873 }
3874 
3875 #undef __FUNCT__
3876 #define __FUNCT__ "MatGetRowSum"
3877 /*@
3878    MatGetRowSum - Gets the sum of each row of the matrix
3879 
3880    Collective on Mat and Vec
3881 
3882    Input Parameters:
3883 .  mat - the matrix
3884 
3885    Output Parameter:
3886 .  v - the vector for storing the sum of rows
3887 
3888    Level: intermediate
3889 
3890    Notes: This code is slow since it is not currently specialized for different formats
3891 
3892    Concepts: matrices^getting row sums
3893 
3894 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMin()
3895 @*/
3896 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowSum(Mat mat, Vec v)
3897 {
3898   PetscInt       start, end, row;
3899   PetscScalar   *array;
3900   PetscErrorCode ierr;
3901 
3902   PetscFunctionBegin;
3903   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3904   PetscValidType(mat,1);
3905   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3906   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3907   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3908   ierr = MatGetOwnershipRange(mat, &start, &end);CHKERRQ(ierr);
3909   ierr = VecGetArray(v, &array);CHKERRQ(ierr);
3910   for(row = start; row < end; ++row) {
3911     PetscInt           ncols, col;
3912     const PetscInt    *cols;
3913     const PetscScalar *vals;
3914 
3915     array[row - start] = 0.0;
3916     ierr = MatGetRow(mat, row, &ncols, &cols, &vals);CHKERRQ(ierr);
3917     for(col = 0; col < ncols; col++) {
3918       array[row - start] += vals[col];
3919     }
3920     ierr = MatRestoreRow(mat, row, &ncols, &cols, &vals);CHKERRQ(ierr);
3921   }
3922   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
3923   ierr = PetscObjectStateIncrease((PetscObject) v);CHKERRQ(ierr);
3924   PetscFunctionReturn(0);
3925 }
3926 
3927 #undef __FUNCT__
3928 #define __FUNCT__ "MatTranspose"
3929 /*@
3930    MatTranspose - Computes an in-place or out-of-place transpose of a matrix.
3931 
3932    Collective on Mat
3933 
3934    Input Parameter:
3935 +  mat - the matrix to transpose
3936 -  reuse - store the transpose matrix in the provided B
3937 
3938    Output Parameters:
3939 .  B - the transpose
3940 
3941    Notes:
3942      If you  pass in &mat for B the transpose will be done in place
3943 
3944    Level: intermediate
3945 
3946    Concepts: matrices^transposing
3947 
3948 .seealso: MatMultTranspose(), MatMultTransposeAdd(), MatIsTranspose(), MatReuse
3949 @*/
3950 PetscErrorCode PETSCMAT_DLLEXPORT MatTranspose(Mat mat,MatReuse reuse,Mat *B)
3951 {
3952   PetscErrorCode ierr;
3953 
3954   PetscFunctionBegin;
3955   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3956   PetscValidType(mat,1);
3957   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3958   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3959   if (!mat->ops->transpose) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3960   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3961 
3962   ierr = PetscLogEventBegin(MAT_Transpose,mat,0,0,0);CHKERRQ(ierr);
3963   ierr = (*mat->ops->transpose)(mat,reuse,B);CHKERRQ(ierr);
3964   ierr = PetscLogEventEnd(MAT_Transpose,mat,0,0,0);CHKERRQ(ierr);
3965   if (B) {ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);}
3966   PetscFunctionReturn(0);
3967 }
3968 
3969 #undef __FUNCT__
3970 #define __FUNCT__ "MatIsTranspose"
3971 /*@
3972    MatIsTranspose - Test whether a matrix is another one's transpose,
3973         or its own, in which case it tests symmetry.
3974 
3975    Collective on Mat
3976 
3977    Input Parameter:
3978 +  A - the matrix to test
3979 -  B - the matrix to test against, this can equal the first parameter
3980 
3981    Output Parameters:
3982 .  flg - the result
3983 
3984    Notes:
3985    Only available for SeqAIJ/MPIAIJ matrices. The sequential algorithm
3986    has a running time of the order of the number of nonzeros; the parallel
3987    test involves parallel copies of the block-offdiagonal parts of the matrix.
3988 
3989    Level: intermediate
3990 
3991    Concepts: matrices^transposing, matrix^symmetry
3992 
3993 .seealso: MatTranspose(), MatIsSymmetric(), MatIsHermitian()
3994 @*/
3995 PetscErrorCode PETSCMAT_DLLEXPORT MatIsTranspose(Mat A,Mat B,PetscReal tol,PetscTruth *flg)
3996 {
3997   PetscErrorCode ierr,(*f)(Mat,Mat,PetscReal,PetscTruth*),(*g)(Mat,Mat,PetscReal,PetscTruth*);
3998 
3999   PetscFunctionBegin;
4000   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
4001   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
4002   PetscValidPointer(flg,3);
4003   ierr = PetscObjectQueryFunction((PetscObject)A,"MatIsTranspose_C",(void (**)(void))&f);CHKERRQ(ierr);
4004   ierr = PetscObjectQueryFunction((PetscObject)B,"MatIsTranspose_C",(void (**)(void))&g);CHKERRQ(ierr);
4005   if (f && g) {
4006     if (f==g) {
4007       ierr = (*f)(A,B,tol,flg);CHKERRQ(ierr);
4008     } else {
4009       SETERRQ(PETSC_ERR_ARG_NOTSAMETYPE,"Matrices do not have the same comparator for symmetry test");
4010     }
4011   }
4012   PetscFunctionReturn(0);
4013 }
4014 
4015 #undef __FUNCT__
4016 #define __FUNCT__ "MatHermitianTranspose"
4017 /*@
4018    MatHermitianTranspose - Computes an in-place or out-of-place transpose of a matrix in complex conjugate.
4019 
4020    Collective on Mat
4021 
4022    Input Parameter:
4023 +  mat - the matrix to transpose and complex conjugate
4024 -  reuse - store the transpose matrix in the provided B
4025 
4026    Output Parameters:
4027 .  B - the Hermitian
4028 
4029    Notes:
4030      If you  pass in &mat for B the Hermitian will be done in place
4031 
4032    Level: intermediate
4033 
4034    Concepts: matrices^transposing, complex conjugatex
4035 
4036 .seealso: MatTranspose(), MatMultTranspose(), MatMultTransposeAdd(), MatIsTranspose(), MatReuse
4037 @*/
4038 PetscErrorCode PETSCMAT_DLLEXPORT MatHermitianTranspose(Mat mat,MatReuse reuse,Mat *B)
4039 {
4040   PetscErrorCode ierr;
4041 
4042   PetscFunctionBegin;
4043   ierr = MatTranspose(mat,reuse,B);CHKERRQ(ierr);
4044 #if defined(PETSC_USE_COMPLEX)
4045   ierr = MatConjugate(*B);CHKERRQ(ierr);
4046 #endif
4047   PetscFunctionReturn(0);
4048 }
4049 
4050 #undef __FUNCT__
4051 #define __FUNCT__ "MatIsHermitianTranspose"
4052 /*@
4053    MatIsHermitianTranspose - Test whether a matrix is another one's Hermitian transpose,
4054 
4055    Collective on Mat
4056 
4057    Input Parameter:
4058 +  A - the matrix to test
4059 -  B - the matrix to test against, this can equal the first parameter
4060 
4061    Output Parameters:
4062 .  flg - the result
4063 
4064    Notes:
4065    Only available for SeqAIJ/MPIAIJ matrices. The sequential algorithm
4066    has a running time of the order of the number of nonzeros; the parallel
4067    test involves parallel copies of the block-offdiagonal parts of the matrix.
4068 
4069    Level: intermediate
4070 
4071    Concepts: matrices^transposing, matrix^symmetry
4072 
4073 .seealso: MatTranspose(), MatIsSymmetric(), MatIsHermitian(), MatIsTranspose()
4074 @*/
4075 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitianTranspose(Mat A,Mat B,PetscReal tol,PetscTruth *flg)
4076 {
4077   PetscErrorCode ierr,(*f)(Mat,Mat,PetscReal,PetscTruth*),(*g)(Mat,Mat,PetscReal,PetscTruth*);
4078 
4079   PetscFunctionBegin;
4080   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
4081   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
4082   PetscValidPointer(flg,3);
4083   ierr = PetscObjectQueryFunction((PetscObject)A,"MatIsHermitianTranspose_C",(void (**)(void))&f);CHKERRQ(ierr);
4084   ierr = PetscObjectQueryFunction((PetscObject)B,"MatIsHermitianTranspose_C",(void (**)(void))&g);CHKERRQ(ierr);
4085   if (f && g) {
4086     if (f==g) {
4087       ierr = (*f)(A,B,tol,flg);CHKERRQ(ierr);
4088     } else {
4089       SETERRQ(PETSC_ERR_ARG_NOTSAMETYPE,"Matrices do not have the same comparator for Hermitian test");
4090     }
4091   }
4092   PetscFunctionReturn(0);
4093 }
4094 
4095 #undef __FUNCT__
4096 #define __FUNCT__ "MatPermute"
4097 /*@
4098    MatPermute - Creates a new matrix with rows and columns permuted from the
4099    original.
4100 
4101    Collective on Mat
4102 
4103    Input Parameters:
4104 +  mat - the matrix to permute
4105 .  row - row permutation, each processor supplies only the permutation for its rows
4106 -  col - column permutation, each processor needs the entire column permutation, that is
4107          this is the same size as the total number of columns in the matrix. It can often
4108          be obtained with ISAllGather() on the row permutation
4109 
4110    Output Parameters:
4111 .  B - the permuted matrix
4112 
4113    Level: advanced
4114 
4115    Concepts: matrices^permuting
4116 
4117 .seealso: MatGetOrdering(), ISAllGather()
4118 
4119 @*/
4120 PetscErrorCode PETSCMAT_DLLEXPORT MatPermute(Mat mat,IS row,IS col,Mat *B)
4121 {
4122   PetscErrorCode ierr;
4123 
4124   PetscFunctionBegin;
4125   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4126   PetscValidType(mat,1);
4127   PetscValidHeaderSpecific(row,IS_COOKIE,2);
4128   PetscValidHeaderSpecific(col,IS_COOKIE,3);
4129   PetscValidPointer(B,4);
4130   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4131   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4132   if (!mat->ops->permute) SETERRQ1(PETSC_ERR_SUP,"MatPermute not available for Mat type %s",((PetscObject)mat)->type_name);
4133   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4134 
4135   ierr = (*mat->ops->permute)(mat,row,col,B);CHKERRQ(ierr);
4136   ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);
4137   PetscFunctionReturn(0);
4138 }
4139 
4140 #undef __FUNCT__
4141 #define __FUNCT__ "MatPermuteSparsify"
4142 /*@
4143   MatPermuteSparsify - Creates a new matrix with rows and columns permuted from the
4144   original and sparsified to the prescribed tolerance.
4145 
4146   Collective on Mat
4147 
4148   Input Parameters:
4149 + A    - The matrix to permute
4150 . band - The half-bandwidth of the sparsified matrix, or PETSC_DECIDE
4151 . frac - The half-bandwidth as a fraction of the total size, or 0.0
4152 . tol  - The drop tolerance
4153 . rowp - The row permutation
4154 - colp - The column permutation
4155 
4156   Output Parameter:
4157 . B    - The permuted, sparsified matrix
4158 
4159   Level: advanced
4160 
4161   Note:
4162   The default behavior (band = PETSC_DECIDE and frac = 0.0) is to
4163   restrict the half-bandwidth of the resulting matrix to 5% of the
4164   total matrix size.
4165 
4166 .keywords: matrix, permute, sparsify
4167 
4168 .seealso: MatGetOrdering(), MatPermute()
4169 @*/
4170 PetscErrorCode PETSCMAT_DLLEXPORT MatPermuteSparsify(Mat A, PetscInt band, PetscReal frac, PetscReal tol, IS rowp, IS colp, Mat *B)
4171 {
4172   IS                irowp, icolp;
4173   const PetscInt    *rows, *cols;
4174   PetscInt          M, N, locRowStart, locRowEnd;
4175   PetscInt          nz, newNz;
4176   const PetscInt    *cwork;
4177   PetscInt          *cnew;
4178   const PetscScalar *vwork;
4179   PetscScalar       *vnew;
4180   PetscInt          bw, issize;
4181   PetscInt          row, locRow, newRow, col, newCol;
4182   PetscErrorCode    ierr;
4183 
4184   PetscFunctionBegin;
4185   PetscValidHeaderSpecific(A,    MAT_COOKIE,1);
4186   PetscValidHeaderSpecific(rowp, IS_COOKIE,5);
4187   PetscValidHeaderSpecific(colp, IS_COOKIE,6);
4188   PetscValidPointer(B,7);
4189   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE, "Not for unassembled matrix");
4190   if (A->factor)     SETERRQ(PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix");
4191   if (!A->ops->permutesparsify) {
4192     ierr = MatGetSize(A, &M, &N);CHKERRQ(ierr);
4193     ierr = MatGetOwnershipRange(A, &locRowStart, &locRowEnd);CHKERRQ(ierr);
4194     ierr = ISGetSize(rowp, &issize);CHKERRQ(ierr);
4195     if (issize != M) SETERRQ2(PETSC_ERR_ARG_WRONG, "Wrong size %D for row permutation, should be %D", issize, M);
4196     ierr = ISGetSize(colp, &issize);CHKERRQ(ierr);
4197     if (issize != N) SETERRQ2(PETSC_ERR_ARG_WRONG, "Wrong size %D for column permutation, should be %D", issize, N);
4198     ierr = ISInvertPermutation(rowp, 0, &irowp);CHKERRQ(ierr);
4199     ierr = ISGetIndices(irowp, &rows);CHKERRQ(ierr);
4200     ierr = ISInvertPermutation(colp, 0, &icolp);CHKERRQ(ierr);
4201     ierr = ISGetIndices(icolp, &cols);CHKERRQ(ierr);
4202     ierr = PetscMalloc(N * sizeof(PetscInt),         &cnew);CHKERRQ(ierr);
4203     ierr = PetscMalloc(N * sizeof(PetscScalar), &vnew);CHKERRQ(ierr);
4204 
4205     /* Setup bandwidth to include */
4206     if (band == PETSC_DECIDE) {
4207       if (frac <= 0.0)
4208         bw = (PetscInt) (M * 0.05);
4209       else
4210         bw = (PetscInt) (M * frac);
4211     } else {
4212       if (band <= 0) SETERRQ(PETSC_ERR_ARG_WRONG, "Bandwidth must be a positive integer");
4213       bw = band;
4214     }
4215 
4216     /* Put values into new matrix */
4217     ierr = MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, B);CHKERRQ(ierr);
4218     for(row = locRowStart, locRow = 0; row < locRowEnd; row++, locRow++) {
4219       ierr = MatGetRow(A, row, &nz, &cwork, &vwork);CHKERRQ(ierr);
4220       newRow   = rows[locRow]+locRowStart;
4221       for(col = 0, newNz = 0; col < nz; col++) {
4222         newCol = cols[cwork[col]];
4223         if ((newCol >= newRow - bw) && (newCol < newRow + bw) && (PetscAbsScalar(vwork[col]) >= tol)) {
4224           cnew[newNz] = newCol;
4225           vnew[newNz] = vwork[col];
4226           newNz++;
4227         }
4228       }
4229       ierr = MatSetValues(*B, 1, &newRow, newNz, cnew, vnew, INSERT_VALUES);CHKERRQ(ierr);
4230       ierr = MatRestoreRow(A, row, &nz, &cwork, &vwork);CHKERRQ(ierr);
4231     }
4232     ierr = PetscFree(cnew);CHKERRQ(ierr);
4233     ierr = PetscFree(vnew);CHKERRQ(ierr);
4234     ierr = MatAssemblyBegin(*B, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4235     ierr = MatAssemblyEnd(*B, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4236     ierr = ISRestoreIndices(irowp, &rows);CHKERRQ(ierr);
4237     ierr = ISRestoreIndices(icolp, &cols);CHKERRQ(ierr);
4238     ierr = ISDestroy(irowp);CHKERRQ(ierr);
4239     ierr = ISDestroy(icolp);CHKERRQ(ierr);
4240   } else {
4241     ierr = (*A->ops->permutesparsify)(A, band, frac, tol, rowp, colp, B);CHKERRQ(ierr);
4242   }
4243   ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);
4244   PetscFunctionReturn(0);
4245 }
4246 
4247 #undef __FUNCT__
4248 #define __FUNCT__ "MatEqual"
4249 /*@
4250    MatEqual - Compares two matrices.
4251 
4252    Collective on Mat
4253 
4254    Input Parameters:
4255 +  A - the first matrix
4256 -  B - the second matrix
4257 
4258    Output Parameter:
4259 .  flg - PETSC_TRUE if the matrices are equal; PETSC_FALSE otherwise.
4260 
4261    Level: intermediate
4262 
4263    Concepts: matrices^equality between
4264 @*/
4265 PetscErrorCode PETSCMAT_DLLEXPORT MatEqual(Mat A,Mat B,PetscTruth *flg)
4266 {
4267   PetscErrorCode ierr;
4268 
4269   PetscFunctionBegin;
4270   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
4271   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
4272   PetscValidType(A,1);
4273   PetscValidType(B,2);
4274   PetscValidIntPointer(flg,3);
4275   PetscCheckSameComm(A,1,B,2);
4276   ierr = MatPreallocated(B);CHKERRQ(ierr);
4277   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4278   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4279   if (A->rmap->N != B->rmap->N || A->cmap->N != B->cmap->N) SETERRQ4(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);
4280   if (!A->ops->equal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)A)->type_name);
4281   if (!B->ops->equal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)B)->type_name);
4282   if (A->ops->equal != B->ops->equal) SETERRQ2(PETSC_ERR_ARG_INCOMP,"A is type: %s\nB is type: %s",((PetscObject)A)->type_name,((PetscObject)B)->type_name);
4283   ierr = MatPreallocated(A);CHKERRQ(ierr);
4284 
4285   ierr = (*A->ops->equal)(A,B,flg);CHKERRQ(ierr);
4286   PetscFunctionReturn(0);
4287 }
4288 
4289 #undef __FUNCT__
4290 #define __FUNCT__ "MatDiagonalScale"
4291 /*@
4292    MatDiagonalScale - Scales a matrix on the left and right by diagonal
4293    matrices that are stored as vectors.  Either of the two scaling
4294    matrices can be PETSC_NULL.
4295 
4296    Collective on Mat
4297 
4298    Input Parameters:
4299 +  mat - the matrix to be scaled
4300 .  l - the left scaling vector (or PETSC_NULL)
4301 -  r - the right scaling vector (or PETSC_NULL)
4302 
4303    Notes:
4304    MatDiagonalScale() computes A = LAR, where
4305    L = a diagonal matrix (stored as a vector), R = a diagonal matrix (stored as a vector)
4306 
4307    Level: intermediate
4308 
4309    Concepts: matrices^diagonal scaling
4310    Concepts: diagonal scaling of matrices
4311 
4312 .seealso: MatScale()
4313 @*/
4314 PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalScale(Mat mat,Vec l,Vec r)
4315 {
4316   PetscErrorCode ierr;
4317 
4318   PetscFunctionBegin;
4319   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4320   PetscValidType(mat,1);
4321   if (!mat->ops->diagonalscale) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4322   if (l) {PetscValidHeaderSpecific(l,VEC_COOKIE,2);PetscCheckSameComm(mat,1,l,2);}
4323   if (r) {PetscValidHeaderSpecific(r,VEC_COOKIE,3);PetscCheckSameComm(mat,1,r,3);}
4324   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4325   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4326   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4327 
4328   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4329   ierr = (*mat->ops->diagonalscale)(mat,l,r);CHKERRQ(ierr);
4330   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4331   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4332   PetscFunctionReturn(0);
4333 }
4334 
4335 #undef __FUNCT__
4336 #define __FUNCT__ "MatScale"
4337 /*@
4338     MatScale - Scales all elements of a matrix by a given number.
4339 
4340     Collective on Mat
4341 
4342     Input Parameters:
4343 +   mat - the matrix to be scaled
4344 -   a  - the scaling value
4345 
4346     Output Parameter:
4347 .   mat - the scaled matrix
4348 
4349     Level: intermediate
4350 
4351     Concepts: matrices^scaling all entries
4352 
4353 .seealso: MatDiagonalScale()
4354 @*/
4355 PetscErrorCode PETSCMAT_DLLEXPORT MatScale(Mat mat,PetscScalar a)
4356 {
4357   PetscErrorCode ierr;
4358 
4359   PetscFunctionBegin;
4360   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4361   PetscValidType(mat,1);
4362   if (a != 1.0 && !mat->ops->scale) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4363   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4364   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4365   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4366 
4367   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4368   if (a != 1.0) {
4369     ierr = (*mat->ops->scale)(mat,a);CHKERRQ(ierr);
4370     ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4371   }
4372   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4373   PetscFunctionReturn(0);
4374 }
4375 
4376 #undef __FUNCT__
4377 #define __FUNCT__ "MatNorm"
4378 /*@
4379    MatNorm - Calculates various norms of a matrix.
4380 
4381    Collective on Mat
4382 
4383    Input Parameters:
4384 +  mat - the matrix
4385 -  type - the type of norm, NORM_1, NORM_FROBENIUS, NORM_INFINITY
4386 
4387    Output Parameters:
4388 .  nrm - the resulting norm
4389 
4390    Level: intermediate
4391 
4392    Concepts: matrices^norm
4393    Concepts: norm^of matrix
4394 @*/
4395 PetscErrorCode PETSCMAT_DLLEXPORT MatNorm(Mat mat,NormType type,PetscReal *nrm)
4396 {
4397   PetscErrorCode ierr;
4398 
4399   PetscFunctionBegin;
4400   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4401   PetscValidType(mat,1);
4402   PetscValidScalarPointer(nrm,3);
4403 
4404   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4405   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4406   if (!mat->ops->norm) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4407   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4408 
4409   ierr = (*mat->ops->norm)(mat,type,nrm);CHKERRQ(ierr);
4410   PetscFunctionReturn(0);
4411 }
4412 
4413 /*
4414      This variable is used to prevent counting of MatAssemblyBegin() that
4415    are called from within a MatAssemblyEnd().
4416 */
4417 static PetscInt MatAssemblyEnd_InUse = 0;
4418 #undef __FUNCT__
4419 #define __FUNCT__ "MatAssemblyBegin"
4420 /*@
4421    MatAssemblyBegin - Begins assembling the matrix.  This routine should
4422    be called after completing all calls to MatSetValues().
4423 
4424    Collective on Mat
4425 
4426    Input Parameters:
4427 +  mat - the matrix
4428 -  type - type of assembly, either MAT_FLUSH_ASSEMBLY or MAT_FINAL_ASSEMBLY
4429 
4430    Notes:
4431    MatSetValues() generally caches the values.  The matrix is ready to
4432    use only after MatAssemblyBegin() and MatAssemblyEnd() have been called.
4433    Use MAT_FLUSH_ASSEMBLY when switching between ADD_VALUES and INSERT_VALUES
4434    in MatSetValues(); use MAT_FINAL_ASSEMBLY for the final assembly before
4435    using the matrix.
4436 
4437    Level: beginner
4438 
4439    Concepts: matrices^assembling
4440 
4441 .seealso: MatAssemblyEnd(), MatSetValues(), MatAssembled()
4442 @*/
4443 PetscErrorCode PETSCMAT_DLLEXPORT MatAssemblyBegin(Mat mat,MatAssemblyType type)
4444 {
4445   PetscErrorCode ierr;
4446 
4447   PetscFunctionBegin;
4448   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4449   PetscValidType(mat,1);
4450   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4451   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix.\nDid you forget to call MatSetUnfactored()?");
4452   if (mat->assembled) {
4453     mat->was_assembled = PETSC_TRUE;
4454     mat->assembled     = PETSC_FALSE;
4455   }
4456   if (!MatAssemblyEnd_InUse) {
4457     ierr = PetscLogEventBegin(MAT_AssemblyBegin,mat,0,0,0);CHKERRQ(ierr);
4458     if (mat->ops->assemblybegin){ierr = (*mat->ops->assemblybegin)(mat,type);CHKERRQ(ierr);}
4459     ierr = PetscLogEventEnd(MAT_AssemblyBegin,mat,0,0,0);CHKERRQ(ierr);
4460   } else {
4461     if (mat->ops->assemblybegin){ierr = (*mat->ops->assemblybegin)(mat,type);CHKERRQ(ierr);}
4462   }
4463   PetscFunctionReturn(0);
4464 }
4465 
4466 #undef __FUNCT__
4467 #define __FUNCT__ "MatAssembed"
4468 /*@
4469    MatAssembled - Indicates if a matrix has been assembled and is ready for
4470      use; for example, in matrix-vector product.
4471 
4472    Collective on Mat
4473 
4474    Input Parameter:
4475 .  mat - the matrix
4476 
4477    Output Parameter:
4478 .  assembled - PETSC_TRUE or PETSC_FALSE
4479 
4480    Level: advanced
4481 
4482    Concepts: matrices^assembled?
4483 
4484 .seealso: MatAssemblyEnd(), MatSetValues(), MatAssemblyBegin()
4485 @*/
4486 PetscErrorCode PETSCMAT_DLLEXPORT MatAssembled(Mat mat,PetscTruth *assembled)
4487 {
4488   PetscFunctionBegin;
4489   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4490   PetscValidType(mat,1);
4491   PetscValidPointer(assembled,2);
4492   *assembled = mat->assembled;
4493   PetscFunctionReturn(0);
4494 }
4495 
4496 #undef __FUNCT__
4497 #define __FUNCT__ "MatView_Private"
4498 /*
4499     Processes command line options to determine if/how a matrix
4500   is to be viewed. Called by MatAssemblyEnd() and MatLoad().
4501 */
4502 PetscErrorCode MatView_Private(Mat mat)
4503 {
4504   PetscErrorCode    ierr;
4505   PetscTruth        flg1 = PETSC_FALSE,flg2 = PETSC_FALSE,flg3 = PETSC_FALSE,flg4 = PETSC_FALSE,flg6 = PETSC_FALSE,flg7 = PETSC_FALSE,flg8 = PETSC_FALSE;
4506   static PetscTruth incall = PETSC_FALSE;
4507 #if defined(PETSC_USE_SOCKET_VIEWER)
4508   PetscTruth        flg5 = PETSC_FALSE;
4509 #endif
4510 
4511   PetscFunctionBegin;
4512   if (incall) PetscFunctionReturn(0);
4513   incall = PETSC_TRUE;
4514   ierr = PetscOptionsBegin(((PetscObject)mat)->comm,((PetscObject)mat)->prefix,"Matrix Options","Mat");CHKERRQ(ierr);
4515     ierr = PetscOptionsTruth("-mat_view_info","Information on matrix size","MatView",flg1,&flg1,PETSC_NULL);CHKERRQ(ierr);
4516     ierr = PetscOptionsTruth("-mat_view_info_detailed","Nonzeros in the matrix","MatView",flg2,&flg2,PETSC_NULL);CHKERRQ(ierr);
4517     ierr = PetscOptionsTruth("-mat_view","Print matrix to stdout","MatView",flg3,&flg3,PETSC_NULL);CHKERRQ(ierr);
4518     ierr = PetscOptionsTruth("-mat_view_matlab","Print matrix to stdout in a format Matlab can read","MatView",flg4,&flg4,PETSC_NULL);CHKERRQ(ierr);
4519 #if defined(PETSC_USE_SOCKET_VIEWER)
4520     ierr = PetscOptionsTruth("-mat_view_socket","Send matrix to socket (can be read from matlab)","MatView",flg5,&flg5,PETSC_NULL);CHKERRQ(ierr);
4521 #endif
4522     ierr = PetscOptionsTruth("-mat_view_binary","Save matrix to file in binary format","MatView",flg6,&flg6,PETSC_NULL);CHKERRQ(ierr);
4523     ierr = PetscOptionsTruth("-mat_view_draw","Draw the matrix nonzero structure","MatView",flg7,&flg7,PETSC_NULL);CHKERRQ(ierr);
4524   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4525 
4526   if (flg1) {
4527     PetscViewer viewer;
4528 
4529     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4530     ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO);CHKERRQ(ierr);
4531     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4532     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
4533   }
4534   if (flg2) {
4535     PetscViewer viewer;
4536 
4537     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4538     ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL);CHKERRQ(ierr);
4539     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4540     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
4541   }
4542   if (flg3) {
4543     PetscViewer viewer;
4544 
4545     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4546     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4547   }
4548   if (flg4) {
4549     PetscViewer viewer;
4550 
4551     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4552     ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr);
4553     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4554     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
4555   }
4556 #if defined(PETSC_USE_SOCKET_VIEWER)
4557   if (flg5) {
4558     ierr = MatView(mat,PETSC_VIEWER_SOCKET_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4559     ierr = PetscViewerFlush(PETSC_VIEWER_SOCKET_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4560   }
4561 #endif
4562   if (flg6) {
4563     ierr = MatView(mat,PETSC_VIEWER_BINARY_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4564     ierr = PetscViewerFlush(PETSC_VIEWER_BINARY_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4565   }
4566   if (flg7) {
4567     ierr = PetscOptionsGetTruth(((PetscObject)mat)->prefix,"-mat_view_contour",&flg8,PETSC_NULL);CHKERRQ(ierr);
4568     if (flg8) {
4569       PetscViewerPushFormat(PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm),PETSC_VIEWER_DRAW_CONTOUR);CHKERRQ(ierr);
4570     }
4571     ierr = MatView(mat,PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4572     ierr = PetscViewerFlush(PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4573     if (flg8) {
4574       PetscViewerPopFormat(PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4575     }
4576   }
4577   incall = PETSC_FALSE;
4578   PetscFunctionReturn(0);
4579 }
4580 
4581 #undef __FUNCT__
4582 #define __FUNCT__ "MatAssemblyEnd"
4583 /*@
4584    MatAssemblyEnd - Completes assembling the matrix.  This routine should
4585    be called after MatAssemblyBegin().
4586 
4587    Collective on Mat
4588 
4589    Input Parameters:
4590 +  mat - the matrix
4591 -  type - type of assembly, either MAT_FLUSH_ASSEMBLY or MAT_FINAL_ASSEMBLY
4592 
4593    Options Database Keys:
4594 +  -mat_view_info - Prints info on matrix at conclusion of MatEndAssembly()
4595 .  -mat_view_info_detailed - Prints more detailed info
4596 .  -mat_view - Prints matrix in ASCII format
4597 .  -mat_view_matlab - Prints matrix in Matlab format
4598 .  -mat_view_draw - PetscDraws nonzero structure of matrix, using MatView() and PetscDrawOpenX().
4599 .  -display <name> - Sets display name (default is host)
4600 .  -draw_pause <sec> - Sets number of seconds to pause after display
4601 .  -mat_view_socket - Sends matrix to socket, can be accessed from Matlab (see users manual)
4602 .  -viewer_socket_machine <machine>
4603 .  -viewer_socket_port <port>
4604 .  -mat_view_binary - save matrix to file in binary format
4605 -  -viewer_binary_filename <name>
4606 
4607    Notes:
4608    MatSetValues() generally caches the values.  The matrix is ready to
4609    use only after MatAssemblyBegin() and MatAssemblyEnd() have been called.
4610    Use MAT_FLUSH_ASSEMBLY when switching between ADD_VALUES and INSERT_VALUES
4611    in MatSetValues(); use MAT_FINAL_ASSEMBLY for the final assembly before
4612    using the matrix.
4613 
4614    Level: beginner
4615 
4616 .seealso: MatAssemblyBegin(), MatSetValues(), PetscDrawOpenX(), MatView(), MatAssembled(), PetscViewerSocketOpen()
4617 @*/
4618 PetscErrorCode PETSCMAT_DLLEXPORT MatAssemblyEnd(Mat mat,MatAssemblyType type)
4619 {
4620   PetscErrorCode  ierr;
4621   static PetscInt inassm = 0;
4622   PetscTruth      flg = PETSC_FALSE;
4623 
4624   PetscFunctionBegin;
4625   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4626   PetscValidType(mat,1);
4627 
4628   inassm++;
4629   MatAssemblyEnd_InUse++;
4630   if (MatAssemblyEnd_InUse == 1) { /* Do the logging only the first time through */
4631     ierr = PetscLogEventBegin(MAT_AssemblyEnd,mat,0,0,0);CHKERRQ(ierr);
4632     if (mat->ops->assemblyend) {
4633       ierr = (*mat->ops->assemblyend)(mat,type);CHKERRQ(ierr);
4634     }
4635     ierr = PetscLogEventEnd(MAT_AssemblyEnd,mat,0,0,0);CHKERRQ(ierr);
4636   } else {
4637     if (mat->ops->assemblyend) {
4638       ierr = (*mat->ops->assemblyend)(mat,type);CHKERRQ(ierr);
4639     }
4640   }
4641 
4642   /* Flush assembly is not a true assembly */
4643   if (type != MAT_FLUSH_ASSEMBLY) {
4644     mat->assembled  = PETSC_TRUE; mat->num_ass++;
4645   }
4646   mat->insertmode = NOT_SET_VALUES;
4647   MatAssemblyEnd_InUse--;
4648   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4649   if (!mat->symmetric_eternal) {
4650     mat->symmetric_set              = PETSC_FALSE;
4651     mat->hermitian_set              = PETSC_FALSE;
4652     mat->structurally_symmetric_set = PETSC_FALSE;
4653   }
4654   if (inassm == 1 && type != MAT_FLUSH_ASSEMBLY) {
4655     ierr = MatView_Private(mat);CHKERRQ(ierr);
4656     ierr = PetscOptionsGetTruth(((PetscObject)mat)->prefix,"-mat_is_symmetric",&flg,PETSC_NULL);CHKERRQ(ierr);
4657     if (flg) {
4658       PetscReal tol = 0.0;
4659       ierr = PetscOptionsGetReal(((PetscObject)mat)->prefix,"-mat_is_symmetric",&tol,PETSC_NULL);CHKERRQ(ierr);
4660       ierr = MatIsSymmetric(mat,tol,&flg);CHKERRQ(ierr);
4661       if (flg) {
4662         ierr = PetscPrintf(((PetscObject)mat)->comm,"Matrix is symmetric (tolerance %G)\n",tol);CHKERRQ(ierr);
4663       } else {
4664         ierr = PetscPrintf(((PetscObject)mat)->comm,"Matrix is not symmetric (tolerance %G)\n",tol);CHKERRQ(ierr);
4665       }
4666     }
4667   }
4668   inassm--;
4669   PetscFunctionReturn(0);
4670 }
4671 
4672 #undef __FUNCT__
4673 #define __FUNCT__ "MatSetOption"
4674 /*@
4675    MatSetOption - Sets a parameter option for a matrix. Some options
4676    may be specific to certain storage formats.  Some options
4677    determine how values will be inserted (or added). Sorted,
4678    row-oriented input will generally assemble the fastest. The default
4679    is row-oriented, nonsorted input.
4680 
4681    Collective on Mat
4682 
4683    Input Parameters:
4684 +  mat - the matrix
4685 .  option - the option, one of those listed below (and possibly others),
4686 -  flg - turn the option on (PETSC_TRUE) or off (PETSC_FALSE)
4687 
4688   Options Describing Matrix Structure:
4689 +    MAT_SYMMETRIC - symmetric in terms of both structure and value
4690 .    MAT_HERMITIAN - transpose is the complex conjugation
4691 .    MAT_STRUCTURALLY_SYMMETRIC - symmetric nonzero structure
4692 -    MAT_SYMMETRY_ETERNAL - if you would like the symmetry/Hermitian flag
4693                             you set to be kept with all future use of the matrix
4694                             including after MatAssemblyBegin/End() which could
4695                             potentially change the symmetry structure, i.e. you
4696                             KNOW the matrix will ALWAYS have the property you set.
4697 
4698 
4699    Options For Use with MatSetValues():
4700    Insert a logically dense subblock, which can be
4701 .    MAT_ROW_ORIENTED - row-oriented (default)
4702 
4703    Note these options reflect the data you pass in with MatSetValues(); it has
4704    nothing to do with how the data is stored internally in the matrix
4705    data structure.
4706 
4707    When (re)assembling a matrix, we can restrict the input for
4708    efficiency/debugging purposes.  These options include
4709 +    MAT_NEW_NONZERO_LOCATIONS - additional insertions will be
4710         allowed if they generate a new nonzero
4711 .    MAT_NEW_DIAGONALS - new diagonals will be allowed (for block diagonal format only)
4712 .    MAT_IGNORE_OFF_PROC_ENTRIES - drops off-processor entries
4713 .    MAT_NEW_NONZERO_LOCATION_ERR - generates an error for new matrix entry
4714 -    MAT_USE_HASH_TABLE - uses a hash table to speed up matrix assembly
4715 
4716    Notes:
4717    Some options are relevant only for particular matrix types and
4718    are thus ignored by others.  Other options are not supported by
4719    certain matrix types and will generate an error message if set.
4720 
4721    If using a Fortran 77 module to compute a matrix, one may need to
4722    use the column-oriented option (or convert to the row-oriented
4723    format).
4724 
4725    MAT_NEW_NONZERO_LOCATIONS set to PETSC_FALSE indicates that any add or insertion
4726    that would generate a new entry in the nonzero structure is instead
4727    ignored.  Thus, if memory has not alredy been allocated for this particular
4728    data, then the insertion is ignored. For dense matrices, in which
4729    the entire array is allocated, no entries are ever ignored.
4730    Set after the first MatAssemblyEnd()
4731 
4732    MAT_NEW_NONZERO_LOCATION_ERR indicates that any add or insertion
4733    that would generate a new entry in the nonzero structure instead produces
4734    an error. (Currently supported for AIJ and BAIJ formats only.)
4735    This is a useful flag when using SAME_NONZERO_PATTERN in calling
4736    KSPSetOperators() to ensure that the nonzero pattern truely does
4737    remain unchanged. Set after the first MatAssemblyEnd()
4738 
4739    MAT_NEW_NONZERO_ALLOCATION_ERR indicates that any add or insertion
4740    that would generate a new entry that has not been preallocated will
4741    instead produce an error. (Currently supported for AIJ and BAIJ formats
4742    only.) This is a useful flag when debugging matrix memory preallocation.
4743 
4744    MAT_IGNORE_OFF_PROC_ENTRIES indicates entries destined for
4745    other processors should be dropped, rather than stashed.
4746    This is useful if you know that the "owning" processor is also
4747    always generating the correct matrix entries, so that PETSc need
4748    not transfer duplicate entries generated on another processor.
4749 
4750    MAT_USE_HASH_TABLE indicates that a hash table be used to improve the
4751    searches during matrix assembly. When this flag is set, the hash table
4752    is created during the first Matrix Assembly. This hash table is
4753    used the next time through, during MatSetVaules()/MatSetVaulesBlocked()
4754    to improve the searching of indices. MAT_NEW_NONZERO_LOCATIONS flag
4755    should be used with MAT_USE_HASH_TABLE flag. This option is currently
4756    supported by MATMPIBAIJ format only.
4757 
4758    MAT_KEEP_NONZERO_PATTERN indicates when MatZeroRows() is called the zeroed entries
4759    are kept in the nonzero structure
4760 
4761    MAT_IGNORE_ZERO_ENTRIES - for AIJ/IS matrices this will stop zero values from creating
4762    a zero location in the matrix
4763 
4764    MAT_USE_INODES - indicates using inode version of the code - works with AIJ and
4765    ROWBS matrix types
4766 
4767    Level: intermediate
4768 
4769    Concepts: matrices^setting options
4770 
4771 @*/
4772 PetscErrorCode PETSCMAT_DLLEXPORT MatSetOption(Mat mat,MatOption op,PetscTruth flg)
4773 {
4774   PetscErrorCode ierr;
4775 
4776   PetscFunctionBegin;
4777   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4778   PetscValidType(mat,1);
4779   if (((int) op) < 0 || ((int) op) >= NUM_MAT_OPTIONS) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Options %d is out of range",(int)op);
4780   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4781   switch (op) {
4782   case MAT_SYMMETRIC:
4783     mat->symmetric                  = flg;
4784     if (flg) mat->structurally_symmetric = PETSC_TRUE;
4785     mat->symmetric_set              = PETSC_TRUE;
4786     mat->structurally_symmetric_set = flg;
4787     break;
4788   case MAT_HERMITIAN:
4789     mat->hermitian                  = flg;
4790     if (flg) mat->structurally_symmetric = PETSC_TRUE;
4791     mat->hermitian_set              = PETSC_TRUE;
4792     mat->structurally_symmetric_set = flg;
4793     break;
4794   case MAT_STRUCTURALLY_SYMMETRIC:
4795     mat->structurally_symmetric     = flg;
4796     mat->structurally_symmetric_set = PETSC_TRUE;
4797     break;
4798   case MAT_SYMMETRY_ETERNAL:
4799     mat->symmetric_eternal          = flg;
4800     break;
4801   default:
4802     break;
4803   }
4804   if (mat->ops->setoption) {
4805     ierr = (*mat->ops->setoption)(mat,op,flg);CHKERRQ(ierr);
4806   }
4807   PetscFunctionReturn(0);
4808 }
4809 
4810 #undef __FUNCT__
4811 #define __FUNCT__ "MatZeroEntries"
4812 /*@
4813    MatZeroEntries - Zeros all entries of a matrix.  For sparse matrices
4814    this routine retains the old nonzero structure.
4815 
4816    Collective on Mat
4817 
4818    Input Parameters:
4819 .  mat - the matrix
4820 
4821    Level: intermediate
4822 
4823    Concepts: matrices^zeroing
4824 
4825 .seealso: MatZeroRows()
4826 @*/
4827 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroEntries(Mat mat)
4828 {
4829   PetscErrorCode ierr;
4830 
4831   PetscFunctionBegin;
4832   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4833   PetscValidType(mat,1);
4834   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4835   if (mat->insertmode != NOT_SET_VALUES) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for matrices where you have set values but not yet assembled");
4836   if (!mat->ops->zeroentries) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4837   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4838 
4839   ierr = PetscLogEventBegin(MAT_ZeroEntries,mat,0,0,0);CHKERRQ(ierr);
4840   ierr = (*mat->ops->zeroentries)(mat);CHKERRQ(ierr);
4841   ierr = PetscLogEventEnd(MAT_ZeroEntries,mat,0,0,0);CHKERRQ(ierr);
4842   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4843   PetscFunctionReturn(0);
4844 }
4845 
4846 #undef __FUNCT__
4847 #define __FUNCT__ "MatZeroRows"
4848 /*@C
4849    MatZeroRows - Zeros all entries (except possibly the main diagonal)
4850    of a set of rows of a matrix.
4851 
4852    Collective on Mat
4853 
4854    Input Parameters:
4855 +  mat - the matrix
4856 .  numRows - the number of rows to remove
4857 .  rows - the global row indices
4858 -  diag - value put in all diagonals of eliminated rows (0.0 will even eliminate diagonal entry)
4859 
4860    Notes:
4861    For the AIJ and BAIJ matrix formats this removes the old nonzero structure,
4862    but does not release memory.  For the dense and block diagonal
4863    formats this does not alter the nonzero structure.
4864 
4865    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
4866    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
4867    merely zeroed.
4868 
4869    The user can set a value in the diagonal entry (or for the AIJ and
4870    row formats can optionally remove the main diagonal entry from the
4871    nonzero structure as well, by passing 0.0 as the final argument).
4872 
4873    For the parallel case, all processes that share the matrix (i.e.,
4874    those in the communicator used for matrix creation) MUST call this
4875    routine, regardless of whether any rows being zeroed are owned by
4876    them.
4877 
4878    Each processor can indicate any rows in the entire matrix to be zeroed (i.e. each process does NOT have to
4879    list only rows local to itself).
4880 
4881    Level: intermediate
4882 
4883    Concepts: matrices^zeroing rows
4884 
4885 .seealso: MatZeroRowsIS(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption()
4886 @*/
4887 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRows(Mat mat,PetscInt numRows,const PetscInt rows[],PetscScalar diag)
4888 {
4889   PetscErrorCode ierr;
4890 
4891   PetscFunctionBegin;
4892   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4893   PetscValidType(mat,1);
4894   if (numRows) PetscValidIntPointer(rows,3);
4895   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4896   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4897   if (!mat->ops->zerorows) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4898   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4899 
4900   ierr = (*mat->ops->zerorows)(mat,numRows,rows,diag);CHKERRQ(ierr);
4901   ierr = MatView_Private(mat);CHKERRQ(ierr);
4902   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4903   PetscFunctionReturn(0);
4904 }
4905 
4906 #undef __FUNCT__
4907 #define __FUNCT__ "MatZeroRowsIS"
4908 /*@C
4909    MatZeroRowsIS - Zeros all entries (except possibly the main diagonal)
4910    of a set of rows of a matrix.
4911 
4912    Collective on Mat
4913 
4914    Input Parameters:
4915 +  mat - the matrix
4916 .  is - index set of rows to remove
4917 -  diag - value put in all diagonals of eliminated rows
4918 
4919    Notes:
4920    For the AIJ and BAIJ matrix formats this removes the old nonzero structure,
4921    but does not release memory.  For the dense and block diagonal
4922    formats this does not alter the nonzero structure.
4923 
4924    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
4925    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
4926    merely zeroed.
4927 
4928    The user can set a value in the diagonal entry (or for the AIJ and
4929    row formats can optionally remove the main diagonal entry from the
4930    nonzero structure as well, by passing 0.0 as the final argument).
4931 
4932    For the parallel case, all processes that share the matrix (i.e.,
4933    those in the communicator used for matrix creation) MUST call this
4934    routine, regardless of whether any rows being zeroed are owned by
4935    them.
4936 
4937    Each processor should list the rows that IT wants zeroed
4938 
4939    Level: intermediate
4940 
4941    Concepts: matrices^zeroing rows
4942 
4943 .seealso: MatZeroRows(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption()
4944 @*/
4945 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsIS(Mat mat,IS is,PetscScalar diag)
4946 {
4947   PetscInt       numRows;
4948   const PetscInt *rows;
4949   PetscErrorCode ierr;
4950 
4951   PetscFunctionBegin;
4952   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4953   PetscValidType(mat,1);
4954   PetscValidHeaderSpecific(is,IS_COOKIE,2);
4955   ierr = ISGetLocalSize(is,&numRows);CHKERRQ(ierr);
4956   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
4957   ierr = MatZeroRows(mat,numRows,rows,diag);CHKERRQ(ierr);
4958   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
4959   PetscFunctionReturn(0);
4960 }
4961 
4962 #undef __FUNCT__
4963 #define __FUNCT__ "MatZeroRowsLocal"
4964 /*@C
4965    MatZeroRowsLocal - Zeros all entries (except possibly the main diagonal)
4966    of a set of rows of a matrix; using local numbering of rows.
4967 
4968    Collective on Mat
4969 
4970    Input Parameters:
4971 +  mat - the matrix
4972 .  numRows - the number of rows to remove
4973 .  rows - the global row indices
4974 -  diag - value put in all diagonals of eliminated rows
4975 
4976    Notes:
4977    Before calling MatZeroRowsLocal(), the user must first set the
4978    local-to-global mapping by calling MatSetLocalToGlobalMapping().
4979 
4980    For the AIJ matrix formats this removes the old nonzero structure,
4981    but does not release memory.  For the dense and block diagonal
4982    formats this does not alter the nonzero structure.
4983 
4984    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
4985    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
4986    merely zeroed.
4987 
4988    The user can set a value in the diagonal entry (or for the AIJ and
4989    row formats can optionally remove the main diagonal entry from the
4990    nonzero structure as well, by passing 0.0 as the final argument).
4991 
4992    Level: intermediate
4993 
4994    Concepts: matrices^zeroing
4995 
4996 .seealso: MatZeroRows(), MatZeroRowsLocalIS(), MatZeroEntries(), MatZeroRows(), MatSetLocalToGlobalMapping
4997 @*/
4998 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsLocal(Mat mat,PetscInt numRows,const PetscInt rows[],PetscScalar diag)
4999 {
5000   PetscErrorCode ierr;
5001 
5002   PetscFunctionBegin;
5003   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5004   PetscValidType(mat,1);
5005   if (numRows) PetscValidIntPointer(rows,3);
5006   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5007   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5008   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5009 
5010   if (mat->ops->zerorowslocal) {
5011     ierr = (*mat->ops->zerorowslocal)(mat,numRows,rows,diag);CHKERRQ(ierr);
5012   } else {
5013     IS             is, newis;
5014     const PetscInt *newRows;
5015 
5016     if (!mat->mapping) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Need to provide local to global mapping to matrix first");
5017     ierr = ISCreateGeneral(PETSC_COMM_SELF,numRows,rows,&is);CHKERRQ(ierr);
5018     ierr = ISLocalToGlobalMappingApplyIS(mat->mapping,is,&newis);CHKERRQ(ierr);
5019     ierr = ISGetIndices(newis,&newRows);CHKERRQ(ierr);
5020     ierr = (*mat->ops->zerorows)(mat,numRows,newRows,diag);CHKERRQ(ierr);
5021     ierr = ISRestoreIndices(newis,&newRows);CHKERRQ(ierr);
5022     ierr = ISDestroy(newis);CHKERRQ(ierr);
5023     ierr = ISDestroy(is);CHKERRQ(ierr);
5024   }
5025   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5026   PetscFunctionReturn(0);
5027 }
5028 
5029 #undef __FUNCT__
5030 #define __FUNCT__ "MatZeroRowsLocalIS"
5031 /*@C
5032    MatZeroRowsLocalIS - Zeros all entries (except possibly the main diagonal)
5033    of a set of rows of a matrix; using local numbering of rows.
5034 
5035    Collective on Mat
5036 
5037    Input Parameters:
5038 +  mat - the matrix
5039 .  is - index set of rows to remove
5040 -  diag - value put in all diagonals of eliminated rows
5041 
5042    Notes:
5043    Before calling MatZeroRowsLocalIS(), the user must first set the
5044    local-to-global mapping by calling MatSetLocalToGlobalMapping().
5045 
5046    For the AIJ matrix formats this removes the old nonzero structure,
5047    but does not release memory.  For the dense and block diagonal
5048    formats this does not alter the nonzero structure.
5049 
5050    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
5051    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
5052    merely zeroed.
5053 
5054    The user can set a value in the diagonal entry (or for the AIJ and
5055    row formats can optionally remove the main diagonal entry from the
5056    nonzero structure as well, by passing 0.0 as the final argument).
5057 
5058    Level: intermediate
5059 
5060    Concepts: matrices^zeroing
5061 
5062 .seealso: MatZeroRows(), MatZeroRowsLocal(), MatZeroEntries(), MatZeroRows(), MatSetLocalToGlobalMapping
5063 @*/
5064 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsLocalIS(Mat mat,IS is,PetscScalar diag)
5065 {
5066   PetscErrorCode ierr;
5067   PetscInt       numRows;
5068   const PetscInt *rows;
5069 
5070   PetscFunctionBegin;
5071   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5072   PetscValidType(mat,1);
5073   PetscValidHeaderSpecific(is,IS_COOKIE,2);
5074   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5075   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5076   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5077 
5078   ierr = ISGetLocalSize(is,&numRows);CHKERRQ(ierr);
5079   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
5080   ierr = MatZeroRowsLocal(mat,numRows,rows,diag);CHKERRQ(ierr);
5081   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
5082   PetscFunctionReturn(0);
5083 }
5084 
5085 #undef __FUNCT__
5086 #define __FUNCT__ "MatGetSize"
5087 /*@
5088    MatGetSize - Returns the numbers of rows and columns in a matrix.
5089 
5090    Not Collective
5091 
5092    Input Parameter:
5093 .  mat - the matrix
5094 
5095    Output Parameters:
5096 +  m - the number of global rows
5097 -  n - the number of global columns
5098 
5099    Note: both output parameters can be PETSC_NULL on input.
5100 
5101    Level: beginner
5102 
5103    Concepts: matrices^size
5104 
5105 .seealso: MatGetLocalSize()
5106 @*/
5107 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSize(Mat mat,PetscInt *m,PetscInt* n)
5108 {
5109   PetscFunctionBegin;
5110   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5111   if (m) *m = mat->rmap->N;
5112   if (n) *n = mat->cmap->N;
5113   PetscFunctionReturn(0);
5114 }
5115 
5116 #undef __FUNCT__
5117 #define __FUNCT__ "MatGetLocalSize"
5118 /*@
5119    MatGetLocalSize - Returns the number of rows and columns in a matrix
5120    stored locally.  This information may be implementation dependent, so
5121    use with care.
5122 
5123    Not Collective
5124 
5125    Input Parameters:
5126 .  mat - the matrix
5127 
5128    Output Parameters:
5129 +  m - the number of local rows
5130 -  n - the number of local columns
5131 
5132    Note: both output parameters can be PETSC_NULL on input.
5133 
5134    Level: beginner
5135 
5136    Concepts: matrices^local size
5137 
5138 .seealso: MatGetSize()
5139 @*/
5140 PetscErrorCode PETSCMAT_DLLEXPORT MatGetLocalSize(Mat mat,PetscInt *m,PetscInt* n)
5141 {
5142   PetscFunctionBegin;
5143   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5144   if (m) PetscValidIntPointer(m,2);
5145   if (n) PetscValidIntPointer(n,3);
5146   if (m) *m = mat->rmap->n;
5147   if (n) *n = mat->cmap->n;
5148   PetscFunctionReturn(0);
5149 }
5150 
5151 #undef __FUNCT__
5152 #define __FUNCT__ "MatGetOwnershipRangeColumn"
5153 /*@
5154    MatGetOwnershipRangeColumn - Returns the range of matrix columns owned by
5155    this processor.
5156 
5157    Not Collective, unless matrix has not been allocated, then collective on Mat
5158 
5159    Input Parameters:
5160 .  mat - the matrix
5161 
5162    Output Parameters:
5163 +  m - the global index of the first local column
5164 -  n - one more than the global index of the last local column
5165 
5166    Notes: both output parameters can be PETSC_NULL on input.
5167 
5168    Level: developer
5169 
5170    Concepts: matrices^column ownership
5171 
5172 .seealso:  MatGetOwnershipRange(), MatGetOwnershipRanges(), MatGetOwnershipRangesColumn()
5173 
5174 @*/
5175 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRangeColumn(Mat mat,PetscInt *m,PetscInt* n)
5176 {
5177   PetscErrorCode ierr;
5178 
5179   PetscFunctionBegin;
5180   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5181   PetscValidType(mat,1);
5182   if (m) PetscValidIntPointer(m,2);
5183   if (n) PetscValidIntPointer(n,3);
5184   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5185   if (m) *m = mat->cmap->rstart;
5186   if (n) *n = mat->cmap->rend;
5187   PetscFunctionReturn(0);
5188 }
5189 
5190 #undef __FUNCT__
5191 #define __FUNCT__ "MatGetOwnershipRange"
5192 /*@
5193    MatGetOwnershipRange - Returns the range of matrix rows owned by
5194    this processor, assuming that the matrix is laid out with the first
5195    n1 rows on the first processor, the next n2 rows on the second, etc.
5196    For certain parallel layouts this range may not be well defined.
5197 
5198    Not Collective, unless matrix has not been allocated, then collective on Mat
5199 
5200    Input Parameters:
5201 .  mat - the matrix
5202 
5203    Output Parameters:
5204 +  m - the global index of the first local row
5205 -  n - one more than the global index of the last local row
5206 
5207    Note: both output parameters can be PETSC_NULL on input.
5208 
5209    Level: beginner
5210 
5211    Concepts: matrices^row ownership
5212 
5213 .seealso:   MatGetOwnershipRanges(), MatGetOwnershipRangeColumn(), MatGetOwnershipRangesColumn()
5214 
5215 @*/
5216 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRange(Mat mat,PetscInt *m,PetscInt* n)
5217 {
5218   PetscErrorCode ierr;
5219 
5220   PetscFunctionBegin;
5221   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5222   PetscValidType(mat,1);
5223   if (m) PetscValidIntPointer(m,2);
5224   if (n) PetscValidIntPointer(n,3);
5225   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5226   if (m) *m = mat->rmap->rstart;
5227   if (n) *n = mat->rmap->rend;
5228   PetscFunctionReturn(0);
5229 }
5230 
5231 #undef __FUNCT__
5232 #define __FUNCT__ "MatGetOwnershipRanges"
5233 /*@C
5234    MatGetOwnershipRanges - Returns the range of matrix rows owned by
5235    each process
5236 
5237    Not Collective, unless matrix has not been allocated, then collective on Mat
5238 
5239    Input Parameters:
5240 .  mat - the matrix
5241 
5242    Output Parameters:
5243 .  ranges - start of each processors portion plus one more then the total length at the end
5244 
5245    Level: beginner
5246 
5247    Concepts: matrices^row ownership
5248 
5249 .seealso:   MatGetOwnershipRange(), MatGetOwnershipRangeColumn(), MatGetOwnershipRangesColumn()
5250 
5251 @*/
5252 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRanges(Mat mat,const PetscInt **ranges)
5253 {
5254   PetscErrorCode ierr;
5255 
5256   PetscFunctionBegin;
5257   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5258   PetscValidType(mat,1);
5259   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5260   ierr = PetscLayoutGetRanges(mat->rmap,ranges);CHKERRQ(ierr);
5261   PetscFunctionReturn(0);
5262 }
5263 
5264 #undef __FUNCT__
5265 #define __FUNCT__ "MatGetOwnershipRangesColumn"
5266 /*@C
5267    MatGetOwnershipRangesColumn - Returns the range of local columns for each process
5268 
5269    Not Collective, unless matrix has not been allocated, then collective on Mat
5270 
5271    Input Parameters:
5272 .  mat - the matrix
5273 
5274    Output Parameters:
5275 .  ranges - start of each processors portion plus one more then the total length at the end
5276 
5277    Level: beginner
5278 
5279    Concepts: matrices^column ownership
5280 
5281 .seealso:   MatGetOwnershipRange(), MatGetOwnershipRangeColumn(), MatGetOwnershipRanges()
5282 
5283 @*/
5284 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRangesColumn(Mat mat,const PetscInt **ranges)
5285 {
5286   PetscErrorCode ierr;
5287 
5288   PetscFunctionBegin;
5289   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5290   PetscValidType(mat,1);
5291   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5292   ierr = PetscLayoutGetRanges(mat->cmap,ranges);CHKERRQ(ierr);
5293   PetscFunctionReturn(0);
5294 }
5295 
5296 #undef __FUNCT__
5297 #define __FUNCT__ "MatILUFactorSymbolic"
5298 /*@C
5299    MatILUFactorSymbolic - Performs symbolic ILU factorization of a matrix.
5300    Uses levels of fill only, not drop tolerance. Use MatLUFactorNumeric()
5301    to complete the factorization.
5302 
5303    Collective on Mat
5304 
5305    Input Parameters:
5306 +  mat - the matrix
5307 .  row - row permutation
5308 .  column - column permutation
5309 -  info - structure containing
5310 $      levels - number of levels of fill.
5311 $      expected fill - as ratio of original fill.
5312 $      1 or 0 - indicating force fill on diagonal (improves robustness for matrices
5313                 missing diagonal entries)
5314 
5315    Output Parameters:
5316 .  fact - new matrix that has been symbolically factored
5317 
5318    Notes:
5319    See the users manual for additional information about
5320    choosing the fill factor for better efficiency.
5321 
5322    Most users should employ the simplified KSP interface for linear solvers
5323    instead of working directly with matrix algebra routines such as this.
5324    See, e.g., KSPCreate().
5325 
5326    Level: developer
5327 
5328   Concepts: matrices^symbolic LU factorization
5329   Concepts: matrices^factorization
5330   Concepts: LU^symbolic factorization
5331 
5332 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor()
5333           MatGetOrdering(), MatFactorInfo
5334 
5335     Developer Note: fortran interface is not autogenerated as the f90
5336     interface defintion cannot be generated correctly [due to MatFactorInfo]
5337 
5338 @*/
5339 PetscErrorCode PETSCMAT_DLLEXPORT MatILUFactorSymbolic(Mat fact,Mat mat,IS row,IS col,const MatFactorInfo *info)
5340 {
5341   PetscErrorCode ierr;
5342 
5343   PetscFunctionBegin;
5344   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5345   PetscValidType(mat,1);
5346   PetscValidHeaderSpecific(row,IS_COOKIE,2);
5347   PetscValidHeaderSpecific(col,IS_COOKIE,3);
5348   PetscValidPointer(info,4);
5349   PetscValidPointer(fact,5);
5350   if (info->levels < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Levels of fill negative %D",(PetscInt)info->levels);
5351   if (info->fill < 1.0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Expected fill less than 1.0 %G",info->fill);
5352   if (!(fact)->ops->ilufactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic ILU",((PetscObject)mat)->type_name);
5353   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5354   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5355   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5356 
5357   ierr = PetscLogEventBegin(MAT_ILUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
5358   ierr = (fact->ops->ilufactorsymbolic)(fact,mat,row,col,info);CHKERRQ(ierr);
5359   ierr = PetscLogEventEnd(MAT_ILUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
5360   PetscFunctionReturn(0);
5361 }
5362 
5363 #undef __FUNCT__
5364 #define __FUNCT__ "MatICCFactorSymbolic"
5365 /*@C
5366    MatICCFactorSymbolic - Performs symbolic incomplete
5367    Cholesky factorization for a symmetric matrix.  Use
5368    MatCholeskyFactorNumeric() to complete the factorization.
5369 
5370    Collective on Mat
5371 
5372    Input Parameters:
5373 +  mat - the matrix
5374 .  perm - row and column permutation
5375 -  info - structure containing
5376 $      levels - number of levels of fill.
5377 $      expected fill - as ratio of original fill.
5378 
5379    Output Parameter:
5380 .  fact - the factored matrix
5381 
5382    Notes:
5383    Most users should employ the KSP interface for linear solvers
5384    instead of working directly with matrix algebra routines such as this.
5385    See, e.g., KSPCreate().
5386 
5387    Level: developer
5388 
5389   Concepts: matrices^symbolic incomplete Cholesky factorization
5390   Concepts: matrices^factorization
5391   Concepts: Cholsky^symbolic factorization
5392 
5393 .seealso: MatCholeskyFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
5394 
5395     Developer Note: fortran interface is not autogenerated as the f90
5396     interface defintion cannot be generated correctly [due to MatFactorInfo]
5397 
5398 @*/
5399 PetscErrorCode PETSCMAT_DLLEXPORT MatICCFactorSymbolic(Mat fact,Mat mat,IS perm,const MatFactorInfo *info)
5400 {
5401   PetscErrorCode ierr;
5402 
5403   PetscFunctionBegin;
5404   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5405   PetscValidType(mat,1);
5406   PetscValidHeaderSpecific(perm,IS_COOKIE,2);
5407   PetscValidPointer(info,3);
5408   PetscValidPointer(fact,4);
5409   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5410   if (info->levels < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Levels negative %D",(PetscInt) info->levels);
5411   if (info->fill < 1.0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Expected fill less than 1.0 %G",info->fill);
5412   if (!(fact)->ops->iccfactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic ICC",((PetscObject)mat)->type_name);
5413   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5414   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5415 
5416   ierr = PetscLogEventBegin(MAT_ICCFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
5417   ierr = (fact->ops->iccfactorsymbolic)(fact,mat,perm,info);CHKERRQ(ierr);
5418   ierr = PetscLogEventEnd(MAT_ICCFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
5419   PetscFunctionReturn(0);
5420 }
5421 
5422 #undef __FUNCT__
5423 #define __FUNCT__ "MatILUDTFactorSymbolic"
5424 /*@
5425    MatILUDTFactorSymbolic - Performs symbolic pivoting drop-tolerance ILU factorization of a matrix.
5426    User provides the drop tolerance(dt) and the maximum nonzeros to be allowed per row(dtcount).
5427    Use MatILUDTFactorNumeric() to complete the factorization.
5428 
5429    Collective on Mat
5430 
5431    Input Parameters:
5432 +  mat - the matrix
5433 .  row - row permutation
5434 .  column - column permutation
5435 -  info - structure containing
5436 $      dt - drop tolerance.
5437 $      dtcount - maximum nonzeros to be allowed per row.
5438 
5439    Output Parameters:
5440 .  fact - factor matrix with memory preallocated
5441 
5442    Notes:
5443    See the ILUT algorithm written by Yousef Saad.
5444 
5445    Most users should employ the simplified KSP interface for linear solvers
5446    instead of working directly with matrix algebra routines such as this.
5447    See, e.g., KSPCreate().
5448 
5449    Level: developer
5450 
5451   Concepts: matrices^symbolic ILU factorization
5452   Concepts: matrices^factorization
5453 
5454 .seealso: MatILUDTFactorNumeric()
5455           MatGetOrdering(), MatGetFactor(), MatFactorInfo
5456 
5457 @*/
5458 PetscErrorCode PETSCMAT_DLLEXPORT MatILUDTFactorSymbolic(Mat fact,Mat mat,IS row,IS col,const MatFactorInfo *info)
5459 {
5460   PetscErrorCode ierr;
5461 
5462   PetscFunctionBegin;
5463   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5464   PetscValidType(mat,1);
5465   PetscValidHeaderSpecific(row,IS_COOKIE,2);
5466   PetscValidHeaderSpecific(col,IS_COOKIE,3);
5467   PetscValidPointer(info,4);
5468   PetscValidPointer(fact,5);
5469   if (info->dt < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"drop tolerance negative %G",(PetscInt)info->dt);
5470   if (info->dtcount < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"nonzeros per row %D <0",info->dtcount);
5471   if (!(fact)->ops->iludtfactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic ILUDT",((PetscObject)mat)->type_name);
5472   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
5473   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5474   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5475   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5476 
5477   ierr = PetscLogEventBegin(MAT_ILUDTFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
5478   ierr = (fact->ops->iludtfactorsymbolic)(fact,mat,row,col,info);CHKERRQ(ierr);
5479   ierr = PetscLogEventEnd(MAT_ILUDTFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
5480   PetscFunctionReturn(0);
5481 }
5482 
5483 #undef __FUNCT__
5484 #define __FUNCT__ "MatILUDTFactorNumeric"
5485 /*@
5486    MatILUDTFactorNumeric - Performs numeric pivoting drop-tolerance ILU factorization of a matrix.
5487    Call this routine after first calling MatILUDTFactorSymbolic().
5488 
5489    Collective on Mat
5490 
5491    Input Parameters:
5492 +  fact - the factor matrix obtained with MatGetFactor()
5493 .  mat - the matrix
5494 -  info - options for factorization
5495 
5496    Output Parameters:
5497 .  fact - assembled factor matrix
5498 
5499    Notes:
5500    Most users should employ the simplified KSP interface for linear solvers
5501    instead of working directly with matrix algebra routines such as this.
5502    See, e.g., KSPCreate().
5503 
5504    Level: developer
5505 
5506 .seealso: MatILUDTFactorSymbolic()
5507 @*/
5508 PetscErrorCode PETSCMAT_DLLEXPORT MatILUDTFactorNumeric(Mat fact,Mat mat,const MatFactorInfo *info)
5509 {
5510   PetscErrorCode ierr;
5511 
5512   PetscFunctionBegin;
5513   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5514   PetscValidType(mat,1);
5515   PetscValidPointer(fact,2);
5516   PetscValidHeaderSpecific(fact,MAT_COOKIE,2);
5517   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5518   if (mat->rmap->N != (fact)->rmap->N || mat->cmap->N != (fact)->cmap->N) {
5519     SETERRQ4(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);
5520   }
5521   if (!(fact)->ops->iludtfactornumeric) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5522   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5523   ierr = PetscLogEventBegin(MAT_ILUDTFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
5524   ierr = (fact->ops->iludtfactornumeric)(fact,mat,info);CHKERRQ(ierr);
5525   ierr = PetscLogEventEnd(MAT_ILUDTFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
5526 
5527   ierr = MatView_Private(fact);CHKERRQ(ierr);
5528   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
5529   PetscFunctionReturn(0);
5530 }
5531 
5532 #undef __FUNCT__
5533 #define __FUNCT__ "MatGetArray"
5534 /*@C
5535    MatGetArray - Returns a pointer to the element values in the matrix.
5536    The result of this routine is dependent on the underlying matrix data
5537    structure, and may not even work for certain matrix types.  You MUST
5538    call MatRestoreArray() when you no longer need to access the array.
5539 
5540    Not Collective
5541 
5542    Input Parameter:
5543 .  mat - the matrix
5544 
5545    Output Parameter:
5546 .  v - the location of the values
5547 
5548 
5549    Fortran Note:
5550    This routine is used differently from Fortran, e.g.,
5551 .vb
5552         Mat         mat
5553         PetscScalar mat_array(1)
5554         PetscOffset i_mat
5555         PetscErrorCode ierr
5556         call MatGetArray(mat,mat_array,i_mat,ierr)
5557 
5558   C  Access first local entry in matrix; note that array is
5559   C  treated as one dimensional
5560         value = mat_array(i_mat + 1)
5561 
5562         [... other code ...]
5563         call MatRestoreArray(mat,mat_array,i_mat,ierr)
5564 .ve
5565 
5566    See the Fortran chapter of the users manual and
5567    petsc/src/mat/examples/tests for details.
5568 
5569    Level: advanced
5570 
5571    Concepts: matrices^access array
5572 
5573 .seealso: MatRestoreArray(), MatGetArrayF90(), MatGetRowIJ()
5574 @*/
5575 PetscErrorCode PETSCMAT_DLLEXPORT MatGetArray(Mat mat,PetscScalar *v[])
5576 {
5577   PetscErrorCode ierr;
5578 
5579   PetscFunctionBegin;
5580   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5581   PetscValidType(mat,1);
5582   PetscValidPointer(v,2);
5583   if (!mat->ops->getarray) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5584   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5585   ierr = (*mat->ops->getarray)(mat,v);CHKERRQ(ierr);
5586   CHKMEMQ;
5587   PetscFunctionReturn(0);
5588 }
5589 
5590 #undef __FUNCT__
5591 #define __FUNCT__ "MatRestoreArray"
5592 /*@C
5593    MatRestoreArray - Restores the matrix after MatGetArray() has been called.
5594 
5595    Not Collective
5596 
5597    Input Parameter:
5598 +  mat - the matrix
5599 -  v - the location of the values
5600 
5601    Fortran Note:
5602    This routine is used differently from Fortran, e.g.,
5603 .vb
5604         Mat         mat
5605         PetscScalar mat_array(1)
5606         PetscOffset i_mat
5607         PetscErrorCode ierr
5608         call MatGetArray(mat,mat_array,i_mat,ierr)
5609 
5610   C  Access first local entry in matrix; note that array is
5611   C  treated as one dimensional
5612         value = mat_array(i_mat + 1)
5613 
5614         [... other code ...]
5615         call MatRestoreArray(mat,mat_array,i_mat,ierr)
5616 .ve
5617 
5618    See the Fortran chapter of the users manual and
5619    petsc/src/mat/examples/tests for details
5620 
5621    Level: advanced
5622 
5623 .seealso: MatGetArray(), MatRestoreArrayF90()
5624 @*/
5625 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreArray(Mat mat,PetscScalar *v[])
5626 {
5627   PetscErrorCode ierr;
5628 
5629   PetscFunctionBegin;
5630   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5631   PetscValidType(mat,1);
5632   PetscValidPointer(v,2);
5633 #if defined(PETSC_USE_DEBUG)
5634   CHKMEMQ;
5635 #endif
5636   if (!mat->ops->restorearray) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5637   ierr = (*mat->ops->restorearray)(mat,v);CHKERRQ(ierr);
5638   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5639   PetscFunctionReturn(0);
5640 }
5641 
5642 #undef __FUNCT__
5643 #define __FUNCT__ "MatGetSubMatrices"
5644 /*@C
5645    MatGetSubMatrices - Extracts several submatrices from a matrix. If submat
5646    points to an array of valid matrices, they may be reused to store the new
5647    submatrices.
5648 
5649    Collective on Mat
5650 
5651    Input Parameters:
5652 +  mat - the matrix
5653 .  n   - the number of submatrixes to be extracted (on this processor, may be zero)
5654 .  irow, icol - index sets of rows and columns to extract
5655 -  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
5656 
5657    Output Parameter:
5658 .  submat - the array of submatrices
5659 
5660    Notes:
5661    MatGetSubMatrices() can extract ONLY sequential submatrices
5662    (from both sequential and parallel matrices). Use MatGetSubMatrix()
5663    to extract a parallel submatrix.
5664 
5665    When extracting submatrices from a parallel matrix, each processor can
5666    form a different submatrix by setting the rows and columns of its
5667    individual index sets according to the local submatrix desired.
5668 
5669    When finished using the submatrices, the user should destroy
5670    them with MatDestroyMatrices().
5671 
5672    MAT_REUSE_MATRIX can only be used when the nonzero structure of the
5673    original matrix has not changed from that last call to MatGetSubMatrices().
5674 
5675    This routine creates the matrices in submat; you should NOT create them before
5676    calling it. It also allocates the array of matrix pointers submat.
5677 
5678    For BAIJ matrices the index sets must respect the block structure, that is if they
5679    request one row/column in a block, they must request all rows/columns that are in
5680    that block. For example, if the block size is 2 you cannot request just row 0 and
5681    column 0.
5682 
5683    Fortran Note:
5684    The Fortran interface is slightly different from that given below; it
5685    requires one to pass in  as submat a Mat (integer) array of size at least m.
5686 
5687    Level: advanced
5688 
5689    Concepts: matrices^accessing submatrices
5690    Concepts: submatrices
5691 
5692 .seealso: MatDestroyMatrices(), MatGetSubMatrix(), MatGetRow(), MatGetDiagonal(), MatReuse
5693 @*/
5694 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[])
5695 {
5696   PetscErrorCode ierr;
5697   PetscInt        i;
5698   PetscTruth      eq;
5699 
5700   PetscFunctionBegin;
5701   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5702   PetscValidType(mat,1);
5703   if (n) {
5704     PetscValidPointer(irow,3);
5705     PetscValidHeaderSpecific(*irow,IS_COOKIE,3);
5706     PetscValidPointer(icol,4);
5707     PetscValidHeaderSpecific(*icol,IS_COOKIE,4);
5708   }
5709   PetscValidPointer(submat,6);
5710   if (n && scall == MAT_REUSE_MATRIX) {
5711     PetscValidPointer(*submat,6);
5712     PetscValidHeaderSpecific(**submat,MAT_COOKIE,6);
5713   }
5714   if (!mat->ops->getsubmatrices) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5715   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5716   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5717   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5718 
5719   ierr = PetscLogEventBegin(MAT_GetSubMatrices,mat,0,0,0);CHKERRQ(ierr);
5720   ierr = (*mat->ops->getsubmatrices)(mat,n,irow,icol,scall,submat);CHKERRQ(ierr);
5721   ierr = PetscLogEventEnd(MAT_GetSubMatrices,mat,0,0,0);CHKERRQ(ierr);
5722   for (i=0; i<n; i++) {
5723     if (mat->symmetric || mat->structurally_symmetric || mat->hermitian) {
5724       ierr = ISEqual(irow[i],icol[i],&eq);CHKERRQ(ierr);
5725       if (eq) {
5726 	if (mat->symmetric){
5727 	  ierr = MatSetOption((*submat)[i],MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
5728 	} else if (mat->hermitian) {
5729 	  ierr = MatSetOption((*submat)[i],MAT_HERMITIAN,PETSC_TRUE);CHKERRQ(ierr);
5730 	} else if (mat->structurally_symmetric) {
5731 	  ierr = MatSetOption((*submat)[i],MAT_STRUCTURALLY_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
5732 	}
5733       }
5734     }
5735   }
5736   PetscFunctionReturn(0);
5737 }
5738 
5739 #undef __FUNCT__
5740 #define __FUNCT__ "MatDestroyMatrices"
5741 /*@C
5742    MatDestroyMatrices - Destroys a set of matrices obtained with MatGetSubMatrices().
5743 
5744    Collective on Mat
5745 
5746    Input Parameters:
5747 +  n - the number of local matrices
5748 -  mat - the matrices (note that this is a pointer to the array of matrices, just to match the calling
5749                        sequence of MatGetSubMatrices())
5750 
5751    Level: advanced
5752 
5753     Notes: Frees not only the matrices, but also the array that contains the matrices
5754            In Fortran will not free the array.
5755 
5756 .seealso: MatGetSubMatrices()
5757 @*/
5758 PetscErrorCode PETSCMAT_DLLEXPORT MatDestroyMatrices(PetscInt n,Mat *mat[])
5759 {
5760   PetscErrorCode ierr;
5761   PetscInt       i;
5762 
5763   PetscFunctionBegin;
5764   if (n < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Trying to destroy negative number of matrices %D",n);
5765   PetscValidPointer(mat,2);
5766   for (i=0; i<n; i++) {
5767     ierr = MatDestroy((*mat)[i]);CHKERRQ(ierr);
5768   }
5769   /* memory is allocated even if n = 0 */
5770   ierr = PetscFree(*mat);CHKERRQ(ierr);
5771   PetscFunctionReturn(0);
5772 }
5773 
5774 #undef __FUNCT__
5775 #define __FUNCT__ "MatGetSeqNonzeroStructure"
5776 /*@C
5777    MatGetSeqNonzeroStructure - Extracts the sequential nonzero structure from a matrix.
5778 
5779    Collective on Mat
5780 
5781    Input Parameters:
5782 .  mat - the matrix
5783 
5784    Output Parameter:
5785 .  matstruct - the sequential matrix with the nonzero structure of mat
5786 
5787   Level: intermediate
5788 
5789 .seealso: MatDestroySeqNonzeroStructure(), MatGetSubMatrices(), MatDestroyMatrices()
5790 @*/
5791 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSeqNonzeroStructure(Mat mat,Mat *matstruct)
5792 {
5793   PetscErrorCode ierr;
5794 
5795   PetscFunctionBegin;
5796   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5797   PetscValidPointer(matstruct,2);
5798 
5799   PetscValidType(mat,1);
5800   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5801   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5802 
5803   if (!mat->ops->getseqnonzerostructure) SETERRQ1(PETSC_ERR_SUP,"Not for matrix type %s\n",((PetscObject)mat)->type_name);
5804   ierr = PetscLogEventBegin(MAT_GetSeqNonzeroStructure,mat,0,0,0);CHKERRQ(ierr);
5805   ierr = (*mat->ops->getseqnonzerostructure)(mat,matstruct);CHKERRQ(ierr);
5806   ierr = PetscLogEventEnd(MAT_GetSeqNonzeroStructure,mat,0,0,0);CHKERRQ(ierr);
5807   PetscFunctionReturn(0);
5808 }
5809 
5810 #undef __FUNCT__
5811 #define __FUNCT__ "MatDestroySeqNonzeroStructure"
5812 /*@C
5813    MatDestroySeqNonzeroStructure - Destroys matrix obtained with MatGetSeqNonzeroStructure().
5814 
5815    Collective on Mat
5816 
5817    Input Parameters:
5818 .  mat - the matrix (note that this is a pointer to the array of matrices, just to match the calling
5819                        sequence of MatGetSequentialNonzeroStructure())
5820 
5821    Level: advanced
5822 
5823     Notes: Frees not only the matrices, but also the array that contains the matrices
5824 
5825 .seealso: MatGetSeqNonzeroStructure()
5826 @*/
5827 PetscErrorCode PETSCMAT_DLLEXPORT MatDestroySeqNonzeroStructure(Mat *mat)
5828 {
5829   PetscErrorCode ierr;
5830 
5831   PetscFunctionBegin;
5832   PetscValidPointer(mat,1);
5833   ierr = MatDestroy(*mat);CHKERRQ(ierr);
5834   PetscFunctionReturn(0);
5835 }
5836 
5837 #undef __FUNCT__
5838 #define __FUNCT__ "MatIncreaseOverlap"
5839 /*@
5840    MatIncreaseOverlap - Given a set of submatrices indicated by index sets,
5841    replaces the index sets by larger ones that represent submatrices with
5842    additional overlap.
5843 
5844    Collective on Mat
5845 
5846    Input Parameters:
5847 +  mat - the matrix
5848 .  n   - the number of index sets
5849 .  is  - the array of index sets (these index sets will changed during the call)
5850 -  ov  - the additional overlap requested
5851 
5852    Level: developer
5853 
5854    Concepts: overlap
5855    Concepts: ASM^computing overlap
5856 
5857 .seealso: MatGetSubMatrices()
5858 @*/
5859 PetscErrorCode PETSCMAT_DLLEXPORT MatIncreaseOverlap(Mat mat,PetscInt n,IS is[],PetscInt ov)
5860 {
5861   PetscErrorCode ierr;
5862 
5863   PetscFunctionBegin;
5864   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5865   PetscValidType(mat,1);
5866   if (n < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Must have one or more domains, you have %D",n);
5867   if (n) {
5868     PetscValidPointer(is,3);
5869     PetscValidHeaderSpecific(*is,IS_COOKIE,3);
5870   }
5871   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5872   if (mat->factor)     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5873   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5874 
5875   if (!ov) PetscFunctionReturn(0);
5876   if (!mat->ops->increaseoverlap) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5877   ierr = PetscLogEventBegin(MAT_IncreaseOverlap,mat,0,0,0);CHKERRQ(ierr);
5878   ierr = (*mat->ops->increaseoverlap)(mat,n,is,ov);CHKERRQ(ierr);
5879   ierr = PetscLogEventEnd(MAT_IncreaseOverlap,mat,0,0,0);CHKERRQ(ierr);
5880   PetscFunctionReturn(0);
5881 }
5882 
5883 #undef __FUNCT__
5884 #define __FUNCT__ "MatGetBlockSize"
5885 /*@
5886    MatGetBlockSize - Returns the matrix block size; useful especially for the
5887    block row and block diagonal formats.
5888 
5889    Not Collective
5890 
5891    Input Parameter:
5892 .  mat - the matrix
5893 
5894    Output Parameter:
5895 .  bs - block size
5896 
5897    Notes:
5898    Block row formats are MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ
5899 
5900    Level: intermediate
5901 
5902    Concepts: matrices^block size
5903 
5904 .seealso: MatCreateSeqBAIJ(), MatCreateMPIBAIJ()
5905 @*/
5906 PetscErrorCode PETSCMAT_DLLEXPORT MatGetBlockSize(Mat mat,PetscInt *bs)
5907 {
5908   PetscErrorCode ierr;
5909 
5910   PetscFunctionBegin;
5911   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5912   PetscValidType(mat,1);
5913   PetscValidIntPointer(bs,2);
5914   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5915   *bs = mat->rmap->bs;
5916   PetscFunctionReturn(0);
5917 }
5918 
5919 #undef __FUNCT__
5920 #define __FUNCT__ "MatSetBlockSize"
5921 /*@
5922    MatSetBlockSize - Sets the matrix block size; for many matrix types you
5923      cannot use this and MUST set the blocksize when you preallocate the matrix
5924 
5925    Collective on Mat
5926 
5927    Input Parameters:
5928 +  mat - the matrix
5929 -  bs - block size
5930 
5931    Notes:
5932      Only works for shell and AIJ matrices
5933 
5934    Level: intermediate
5935 
5936    Concepts: matrices^block size
5937 
5938 .seealso: MatCreateSeqBAIJ(), MatCreateMPIBAIJ(), MatGetBlockSize()
5939 @*/
5940 PetscErrorCode PETSCMAT_DLLEXPORT MatSetBlockSize(Mat mat,PetscInt bs)
5941 {
5942   PetscErrorCode ierr;
5943 
5944   PetscFunctionBegin;
5945   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5946   PetscValidType(mat,1);
5947   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5948   if (mat->ops->setblocksize) {
5949     /* XXX should check if (bs < 1) ??? */
5950     ierr = PetscLayoutSetBlockSize(mat->rmap,bs);CHKERRQ(ierr);
5951     ierr = PetscLayoutSetBlockSize(mat->cmap,bs);CHKERRQ(ierr);
5952     ierr = (*mat->ops->setblocksize)(mat,bs);CHKERRQ(ierr);
5953   } else {
5954     SETERRQ1(PETSC_ERR_ARG_INCOMP,"Cannot set the blocksize for matrix type %s",((PetscObject)mat)->type_name);
5955   }
5956   PetscFunctionReturn(0);
5957 }
5958 
5959 #undef __FUNCT__
5960 #define __FUNCT__ "MatGetRowIJ"
5961 /*@C
5962     MatGetRowIJ - Returns the compressed row storage i and j indices for sequential matrices.
5963 
5964    Collective on Mat
5965 
5966     Input Parameters:
5967 +   mat - the matrix
5968 .   shift -  0 or 1 indicating we want the indices starting at 0 or 1
5969 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
5970                 symmetrized
5971 -   inodecompressed - PETSC_TRUE or PETSC_FALSE  indicating if the nonzero structure of the
5972                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
5973                  always used.
5974 
5975     Output Parameters:
5976 +   n - number of rows in the (possibly compressed) matrix
5977 .   ia - the row pointers [of length n+1]
5978 .   ja - the column indices
5979 -   done - indicates if the routine actually worked and returned appropriate ia[] and ja[] arrays; callers
5980            are responsible for handling the case when done == PETSC_FALSE and ia and ja are not set
5981 
5982     Level: developer
5983 
5984     Notes: You CANNOT change any of the ia[] or ja[] values.
5985 
5986            Use MatRestoreRowIJ() when you are finished accessing the ia[] and ja[] values
5987 
5988     Fortran Node
5989 
5990            In Fortran use
5991 $           PetscInt ia(1), ja(1)
5992 $           PetscOffset iia, jja
5993 $      call MatGetRowIJ(mat,shift,symmetric,inodecompressed,n,ia,iia,ja,jja,done,ierr)
5994 $
5995 $          or
5996 $
5997 $           PetscScalar, pointer :: xx_v(:)
5998 $    call  MatGetRowIJF90(mat,shift,symmetric,inodecompressed,n,ia,ja,done,ierr)
5999 
6000 
6001        Acess the ith and jth entries via ia(iia + i) and ja(jja + j)
6002 
6003 .seealso: MatGetColumnIJ(), MatRestoreRowIJ(), MatGetArray()
6004 @*/
6005 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
6006 {
6007   PetscErrorCode ierr;
6008 
6009   PetscFunctionBegin;
6010   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6011   PetscValidType(mat,1);
6012   PetscValidIntPointer(n,4);
6013   if (ia) PetscValidIntPointer(ia,5);
6014   if (ja) PetscValidIntPointer(ja,6);
6015   PetscValidIntPointer(done,7);
6016   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6017   if (!mat->ops->getrowij) *done = PETSC_FALSE;
6018   else {
6019     *done = PETSC_TRUE;
6020     ierr = PetscLogEventBegin(MAT_GetRowIJ,mat,0,0,0);CHKERRQ(ierr);
6021     ierr  = (*mat->ops->getrowij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
6022     ierr = PetscLogEventEnd(MAT_GetRowIJ,mat,0,0,0);CHKERRQ(ierr);
6023   }
6024   PetscFunctionReturn(0);
6025 }
6026 
6027 #undef __FUNCT__
6028 #define __FUNCT__ "MatGetColumnIJ"
6029 /*@C
6030     MatGetColumnIJ - Returns the compressed column storage i and j indices for sequential matrices.
6031 
6032     Collective on Mat
6033 
6034     Input Parameters:
6035 +   mat - the matrix
6036 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
6037 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
6038                 symmetrized
6039 -   inodecompressed - PETSC_TRUE or PETSC_FALSE indicating if the nonzero structure of the
6040                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
6041                  always used.
6042 
6043     Output Parameters:
6044 +   n - number of columns in the (possibly compressed) matrix
6045 .   ia - the column pointers
6046 .   ja - the row indices
6047 -   done - PETSC_TRUE or PETSC_FALSE, indicating whether the values have been returned
6048 
6049     Level: developer
6050 
6051 .seealso: MatGetRowIJ(), MatRestoreColumnIJ()
6052 @*/
6053 PetscErrorCode PETSCMAT_DLLEXPORT MatGetColumnIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
6054 {
6055   PetscErrorCode ierr;
6056 
6057   PetscFunctionBegin;
6058   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6059   PetscValidType(mat,1);
6060   PetscValidIntPointer(n,4);
6061   if (ia) PetscValidIntPointer(ia,5);
6062   if (ja) PetscValidIntPointer(ja,6);
6063   PetscValidIntPointer(done,7);
6064   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6065   if (!mat->ops->getcolumnij) *done = PETSC_FALSE;
6066   else {
6067     *done = PETSC_TRUE;
6068     ierr  = (*mat->ops->getcolumnij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
6069   }
6070   PetscFunctionReturn(0);
6071 }
6072 
6073 #undef __FUNCT__
6074 #define __FUNCT__ "MatRestoreRowIJ"
6075 /*@C
6076     MatRestoreRowIJ - Call after you are completed with the ia,ja indices obtained with
6077     MatGetRowIJ().
6078 
6079     Collective on Mat
6080 
6081     Input Parameters:
6082 +   mat - the matrix
6083 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
6084 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
6085                 symmetrized
6086 -   inodecompressed -  PETSC_TRUE or PETSC_FALSE indicating if the nonzero structure of the
6087                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
6088                  always used.
6089 
6090     Output Parameters:
6091 +   n - size of (possibly compressed) matrix
6092 .   ia - the row pointers
6093 .   ja - the column indices
6094 -   done - PETSC_TRUE or PETSC_FALSE indicated that the values have been returned
6095 
6096     Level: developer
6097 
6098 .seealso: MatGetRowIJ(), MatRestoreColumnIJ()
6099 @*/
6100 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRowIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
6101 {
6102   PetscErrorCode ierr;
6103 
6104   PetscFunctionBegin;
6105   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6106   PetscValidType(mat,1);
6107   if (ia) PetscValidIntPointer(ia,5);
6108   if (ja) PetscValidIntPointer(ja,6);
6109   PetscValidIntPointer(done,7);
6110   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6111 
6112   if (!mat->ops->restorerowij) *done = PETSC_FALSE;
6113   else {
6114     *done = PETSC_TRUE;
6115     ierr  = (*mat->ops->restorerowij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
6116   }
6117   PetscFunctionReturn(0);
6118 }
6119 
6120 #undef __FUNCT__
6121 #define __FUNCT__ "MatRestoreColumnIJ"
6122 /*@C
6123     MatRestoreColumnIJ - Call after you are completed with the ia,ja indices obtained with
6124     MatGetColumnIJ().
6125 
6126     Collective on Mat
6127 
6128     Input Parameters:
6129 +   mat - the matrix
6130 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
6131 -   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
6132                 symmetrized
6133 -   inodecompressed - PETSC_TRUE or PETSC_FALSE indicating if the nonzero structure of the
6134                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
6135                  always used.
6136 
6137     Output Parameters:
6138 +   n - size of (possibly compressed) matrix
6139 .   ia - the column pointers
6140 .   ja - the row indices
6141 -   done - PETSC_TRUE or PETSC_FALSE indicated that the values have been returned
6142 
6143     Level: developer
6144 
6145 .seealso: MatGetColumnIJ(), MatRestoreRowIJ()
6146 @*/
6147 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreColumnIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
6148 {
6149   PetscErrorCode ierr;
6150 
6151   PetscFunctionBegin;
6152   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6153   PetscValidType(mat,1);
6154   if (ia) PetscValidIntPointer(ia,5);
6155   if (ja) PetscValidIntPointer(ja,6);
6156   PetscValidIntPointer(done,7);
6157   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6158 
6159   if (!mat->ops->restorecolumnij) *done = PETSC_FALSE;
6160   else {
6161     *done = PETSC_TRUE;
6162     ierr  = (*mat->ops->restorecolumnij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
6163   }
6164   PetscFunctionReturn(0);
6165 }
6166 
6167 #undef __FUNCT__
6168 #define __FUNCT__ "MatColoringPatch"
6169 /*@C
6170     MatColoringPatch -Used inside matrix coloring routines that
6171     use MatGetRowIJ() and/or MatGetColumnIJ().
6172 
6173     Collective on Mat
6174 
6175     Input Parameters:
6176 +   mat - the matrix
6177 .   ncolors - max color value
6178 .   n   - number of entries in colorarray
6179 -   colorarray - array indicating color for each column
6180 
6181     Output Parameters:
6182 .   iscoloring - coloring generated using colorarray information
6183 
6184     Level: developer
6185 
6186 .seealso: MatGetRowIJ(), MatGetColumnIJ()
6187 
6188 @*/
6189 PetscErrorCode PETSCMAT_DLLEXPORT MatColoringPatch(Mat mat,PetscInt ncolors,PetscInt n,ISColoringValue colorarray[],ISColoring *iscoloring)
6190 {
6191   PetscErrorCode ierr;
6192 
6193   PetscFunctionBegin;
6194   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6195   PetscValidType(mat,1);
6196   PetscValidIntPointer(colorarray,4);
6197   PetscValidPointer(iscoloring,5);
6198   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6199 
6200   if (!mat->ops->coloringpatch){
6201     ierr = ISColoringCreate(((PetscObject)mat)->comm,ncolors,n,colorarray,iscoloring);CHKERRQ(ierr);
6202   } else {
6203     ierr = (*mat->ops->coloringpatch)(mat,ncolors,n,colorarray,iscoloring);CHKERRQ(ierr);
6204   }
6205   PetscFunctionReturn(0);
6206 }
6207 
6208 
6209 #undef __FUNCT__
6210 #define __FUNCT__ "MatSetUnfactored"
6211 /*@
6212    MatSetUnfactored - Resets a factored matrix to be treated as unfactored.
6213 
6214    Collective on Mat
6215 
6216    Input Parameter:
6217 .  mat - the factored matrix to be reset
6218 
6219    Notes:
6220    This routine should be used only with factored matrices formed by in-place
6221    factorization via ILU(0) (or by in-place LU factorization for the MATSEQDENSE
6222    format).  This option can save memory, for example, when solving nonlinear
6223    systems with a matrix-free Newton-Krylov method and a matrix-based, in-place
6224    ILU(0) preconditioner.
6225 
6226    Note that one can specify in-place ILU(0) factorization by calling
6227 .vb
6228      PCType(pc,PCILU);
6229      PCFactorSeUseInPlace(pc);
6230 .ve
6231    or by using the options -pc_type ilu -pc_factor_in_place
6232 
6233    In-place factorization ILU(0) can also be used as a local
6234    solver for the blocks within the block Jacobi or additive Schwarz
6235    methods (runtime option: -sub_pc_factor_in_place).  See the discussion
6236    of these preconditioners in the users manual for details on setting
6237    local solver options.
6238 
6239    Most users should employ the simplified KSP interface for linear solvers
6240    instead of working directly with matrix algebra routines such as this.
6241    See, e.g., KSPCreate().
6242 
6243    Level: developer
6244 
6245 .seealso: PCFactorSetUseInPlace()
6246 
6247    Concepts: matrices^unfactored
6248 
6249 @*/
6250 PetscErrorCode PETSCMAT_DLLEXPORT MatSetUnfactored(Mat mat)
6251 {
6252   PetscErrorCode ierr;
6253 
6254   PetscFunctionBegin;
6255   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6256   PetscValidType(mat,1);
6257   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6258   mat->factor = MAT_FACTOR_NONE;
6259   if (!mat->ops->setunfactored) PetscFunctionReturn(0);
6260   ierr = (*mat->ops->setunfactored)(mat);CHKERRQ(ierr);
6261   PetscFunctionReturn(0);
6262 }
6263 
6264 /*MC
6265     MatGetArrayF90 - Accesses a matrix array from Fortran90.
6266 
6267     Synopsis:
6268     MatGetArrayF90(Mat x,{Scalar, pointer :: xx_v(:)},integer ierr)
6269 
6270     Not collective
6271 
6272     Input Parameter:
6273 .   x - matrix
6274 
6275     Output Parameters:
6276 +   xx_v - the Fortran90 pointer to the array
6277 -   ierr - error code
6278 
6279     Example of Usage:
6280 .vb
6281       PetscScalar, pointer xx_v(:)
6282       ....
6283       call MatGetArrayF90(x,xx_v,ierr)
6284       a = xx_v(3)
6285       call MatRestoreArrayF90(x,xx_v,ierr)
6286 .ve
6287 
6288     Notes:
6289     Not yet supported for all F90 compilers
6290 
6291     Level: advanced
6292 
6293 .seealso:  MatRestoreArrayF90(), MatGetArray(), MatRestoreArray()
6294 
6295     Concepts: matrices^accessing array
6296 
6297 M*/
6298 
6299 /*MC
6300     MatRestoreArrayF90 - Restores a matrix array that has been
6301     accessed with MatGetArrayF90().
6302 
6303     Synopsis:
6304     MatRestoreArrayF90(Mat x,{Scalar, pointer :: xx_v(:)},integer ierr)
6305 
6306     Not collective
6307 
6308     Input Parameters:
6309 +   x - matrix
6310 -   xx_v - the Fortran90 pointer to the array
6311 
6312     Output Parameter:
6313 .   ierr - error code
6314 
6315     Example of Usage:
6316 .vb
6317        PetscScalar, pointer xx_v(:)
6318        ....
6319        call MatGetArrayF90(x,xx_v,ierr)
6320        a = xx_v(3)
6321        call MatRestoreArrayF90(x,xx_v,ierr)
6322 .ve
6323 
6324     Notes:
6325     Not yet supported for all F90 compilers
6326 
6327     Level: advanced
6328 
6329 .seealso:  MatGetArrayF90(), MatGetArray(), MatRestoreArray()
6330 
6331 M*/
6332 
6333 
6334 #undef __FUNCT__
6335 #define __FUNCT__ "MatGetSubMatrix"
6336 /*@
6337     MatGetSubMatrix - Gets a single submatrix on the same number of processors
6338                       as the original matrix.
6339 
6340     Collective on Mat
6341 
6342     Input Parameters:
6343 +   mat - the original matrix
6344 .   isrow - parallel IS containing the rows this processor should obtain
6345 .   iscol - parallel IS containing all columns you wish to keep
6346 -   cll - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
6347 
6348     Output Parameter:
6349 .   newmat - the new submatrix, of the same type as the old
6350 
6351     Level: advanced
6352 
6353     Notes:
6354     The submatrix will be able to be multiplied with vectors using the same layout as iscol.
6355 
6356     The rows is isrow will be sorted into the same order as the original matrix.
6357 
6358       The first time this is called you should use a cll of MAT_INITIAL_MATRIX,
6359    the MatGetSubMatrix() routine will create the newmat for you. Any additional calls
6360    to this routine with a mat of the same nonzero structure and with a call of MAT_REUSE_MATRIX
6361    will reuse the matrix generated the first time.  You should call MatDestroy() on newmat when
6362    you are finished using it.
6363 
6364     The communicator of the newly obtained matrix is ALWAYS the same as the communicator of
6365     the input matrix.
6366 
6367     If iscol is PETSC_NULL then all columns are obtained (not supported in Fortran).
6368 
6369    Example usage:
6370    Consider the following 8x8 matrix with 34 non-zero values, that is
6371    assembled across 3 processors. Lets assume that proc0 owns 3 rows,
6372    proc1 owns 3 rows, proc2 owns 2 rows. This division can be shown
6373    as follows:
6374 
6375 .vb
6376             1  2  0  |  0  3  0  |  0  4
6377     Proc0   0  5  6  |  7  0  0  |  8  0
6378             9  0 10  | 11  0  0  | 12  0
6379     -------------------------------------
6380            13  0 14  | 15 16 17  |  0  0
6381     Proc1   0 18  0  | 19 20 21  |  0  0
6382             0  0  0  | 22 23  0  | 24  0
6383     -------------------------------------
6384     Proc2  25 26 27  |  0  0 28  | 29  0
6385            30  0  0  | 31 32 33  |  0 34
6386 .ve
6387 
6388     Suppose isrow = [0 1 | 4 | 5 6] and iscol = [1 2 | 3 4 5 | 6].  The resulting submatrix is
6389 
6390 .vb
6391             2  0  |  0  3  0  |  0
6392     Proc0   5  6  |  7  0  0  |  8
6393     -------------------------------
6394     Proc1  18  0  | 19 20 21  |  0
6395     -------------------------------
6396     Proc2  26 27  |  0  0 28  | 29
6397             0  0  | 31 32 33  |  0
6398 .ve
6399 
6400 
6401     Concepts: matrices^submatrices
6402 
6403 .seealso: MatGetSubMatrices()
6404 @*/
6405 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat)
6406 {
6407   PetscErrorCode ierr;
6408   PetscMPIInt    size;
6409   Mat            *local;
6410   IS             iscoltmp;
6411 
6412   PetscFunctionBegin;
6413   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6414   PetscValidHeaderSpecific(isrow,IS_COOKIE,2);
6415   if (iscol) PetscValidHeaderSpecific(iscol,IS_COOKIE,3);
6416   PetscValidPointer(newmat,6);
6417   if (cll == MAT_REUSE_MATRIX) PetscValidHeaderSpecific(*newmat,MAT_COOKIE,6);
6418   PetscValidType(mat,1);
6419   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6420   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6421   ierr = MPI_Comm_size(((PetscObject)mat)->comm,&size);CHKERRQ(ierr);
6422 
6423   if (!iscol) {
6424     ierr = ISCreateStride(((PetscObject)mat)->comm,mat->cmap->n,mat->cmap->rstart,1,&iscoltmp);CHKERRQ(ierr);
6425   } else {
6426     iscoltmp = iscol;
6427   }
6428 
6429   /* if original matrix is on just one processor then use submatrix generated */
6430   if (mat->ops->getsubmatrices && !mat->ops->getsubmatrix && size == 1 && cll == MAT_REUSE_MATRIX) {
6431     ierr = MatGetSubMatrices(mat,1,&isrow,&iscoltmp,MAT_REUSE_MATRIX,&newmat);CHKERRQ(ierr);
6432     if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6433     PetscFunctionReturn(0);
6434   } else if (mat->ops->getsubmatrices && !mat->ops->getsubmatrix && size == 1) {
6435     ierr    = MatGetSubMatrices(mat,1,&isrow,&iscoltmp,MAT_INITIAL_MATRIX,&local);CHKERRQ(ierr);
6436     *newmat = *local;
6437     ierr    = PetscFree(local);CHKERRQ(ierr);
6438     if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6439     PetscFunctionReturn(0);
6440   } else if (!mat->ops->getsubmatrix) {
6441     /* Create a new matrix type that implements the operation using the full matrix */
6442     switch (cll) {
6443       case MAT_INITIAL_MATRIX:
6444         ierr = MatCreateSubMatrix(mat,isrow,iscoltmp,newmat);CHKERRQ(ierr);
6445         break;
6446       case MAT_REUSE_MATRIX:
6447         ierr = MatSubMatrixUpdate(*newmat,mat,isrow,iscoltmp);CHKERRQ(ierr);
6448         break;
6449       default: SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Invalid MatReuse, must be either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX");
6450     }
6451     if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6452     PetscFunctionReturn(0);
6453   }
6454 
6455   if (!mat->ops->getsubmatrix) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6456   ierr = (*mat->ops->getsubmatrix)(mat,isrow,iscoltmp,cll,newmat);CHKERRQ(ierr);
6457   if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6458   ierr = PetscObjectStateIncrease((PetscObject)*newmat);CHKERRQ(ierr);
6459   PetscFunctionReturn(0);
6460 }
6461 
6462 #undef __FUNCT__
6463 #define __FUNCT__ "MatStashSetInitialSize"
6464 /*@
6465    MatStashSetInitialSize - sets the sizes of the matrix stash, that is
6466    used during the assembly process to store values that belong to
6467    other processors.
6468 
6469    Not Collective
6470 
6471    Input Parameters:
6472 +  mat   - the matrix
6473 .  size  - the initial size of the stash.
6474 -  bsize - the initial size of the block-stash(if used).
6475 
6476    Options Database Keys:
6477 +   -matstash_initial_size <size> or <size0,size1,...sizep-1>
6478 -   -matstash_block_initial_size <bsize>  or <bsize0,bsize1,...bsizep-1>
6479 
6480    Level: intermediate
6481 
6482    Notes:
6483      The block-stash is used for values set with MatSetValuesBlocked() while
6484      the stash is used for values set with MatSetValues()
6485 
6486      Run with the option -info and look for output of the form
6487      MatAssemblyBegin_MPIXXX:Stash has MM entries, uses nn mallocs.
6488      to determine the appropriate value, MM, to use for size and
6489      MatAssemblyBegin_MPIXXX:Block-Stash has BMM entries, uses nn mallocs.
6490      to determine the value, BMM to use for bsize
6491 
6492    Concepts: stash^setting matrix size
6493    Concepts: matrices^stash
6494 
6495 .seealso: MatAssemblyBegin(), MatAssemblyEnd(), Mat, MatStashGetInfo()
6496 
6497 @*/
6498 PetscErrorCode PETSCMAT_DLLEXPORT MatStashSetInitialSize(Mat mat,PetscInt size, PetscInt bsize)
6499 {
6500   PetscErrorCode ierr;
6501 
6502   PetscFunctionBegin;
6503   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6504   PetscValidType(mat,1);
6505   ierr = MatStashSetInitialSize_Private(&mat->stash,size);CHKERRQ(ierr);
6506   ierr = MatStashSetInitialSize_Private(&mat->bstash,bsize);CHKERRQ(ierr);
6507   PetscFunctionReturn(0);
6508 }
6509 
6510 #undef __FUNCT__
6511 #define __FUNCT__ "MatInterpolateAdd"
6512 /*@
6513    MatInterpolateAdd - w = y + A*x or A'*x depending on the shape of
6514      the matrix
6515 
6516    Collective on Mat
6517 
6518    Input Parameters:
6519 +  mat   - the matrix
6520 .  x,y - the vectors
6521 -  w - where the result is stored
6522 
6523    Level: intermediate
6524 
6525    Notes:
6526     w may be the same vector as y.
6527 
6528     This allows one to use either the restriction or interpolation (its transpose)
6529     matrix to do the interpolation
6530 
6531     Concepts: interpolation
6532 
6533 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatRestrict()
6534 
6535 @*/
6536 PetscErrorCode PETSCMAT_DLLEXPORT MatInterpolateAdd(Mat A,Vec x,Vec y,Vec w)
6537 {
6538   PetscErrorCode ierr;
6539   PetscInt       M,N;
6540 
6541   PetscFunctionBegin;
6542   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6543   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
6544   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
6545   PetscValidHeaderSpecific(w,VEC_COOKIE,4);
6546   PetscValidType(A,1);
6547   ierr = MatPreallocated(A);CHKERRQ(ierr);
6548   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
6549   if (N > M) {
6550     ierr = MatMultTransposeAdd(A,x,y,w);CHKERRQ(ierr);
6551   } else {
6552     ierr = MatMultAdd(A,x,y,w);CHKERRQ(ierr);
6553   }
6554   PetscFunctionReturn(0);
6555 }
6556 
6557 #undef __FUNCT__
6558 #define __FUNCT__ "MatInterpolate"
6559 /*@
6560    MatInterpolate - y = A*x or A'*x depending on the shape of
6561      the matrix
6562 
6563    Collective on Mat
6564 
6565    Input Parameters:
6566 +  mat   - the matrix
6567 -  x,y - the vectors
6568 
6569    Level: intermediate
6570 
6571    Notes:
6572     This allows one to use either the restriction or interpolation (its transpose)
6573     matrix to do the interpolation
6574 
6575    Concepts: matrices^interpolation
6576 
6577 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatRestrict()
6578 
6579 @*/
6580 PetscErrorCode PETSCMAT_DLLEXPORT MatInterpolate(Mat A,Vec x,Vec y)
6581 {
6582   PetscErrorCode ierr;
6583   PetscInt       M,N;
6584 
6585   PetscFunctionBegin;
6586   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6587   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
6588   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
6589   PetscValidType(A,1);
6590   ierr = MatPreallocated(A);CHKERRQ(ierr);
6591   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
6592   if (N > M) {
6593     ierr = MatMultTranspose(A,x,y);CHKERRQ(ierr);
6594   } else {
6595     ierr = MatMult(A,x,y);CHKERRQ(ierr);
6596   }
6597   PetscFunctionReturn(0);
6598 }
6599 
6600 #undef __FUNCT__
6601 #define __FUNCT__ "MatRestrict"
6602 /*@
6603    MatRestrict - y = A*x or A'*x
6604 
6605    Collective on Mat
6606 
6607    Input Parameters:
6608 +  mat   - the matrix
6609 -  x,y - the vectors
6610 
6611    Level: intermediate
6612 
6613    Notes:
6614     This allows one to use either the restriction or interpolation (its transpose)
6615     matrix to do the restriction
6616 
6617    Concepts: matrices^restriction
6618 
6619 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatInterpolate()
6620 
6621 @*/
6622 PetscErrorCode PETSCMAT_DLLEXPORT MatRestrict(Mat A,Vec x,Vec y)
6623 {
6624   PetscErrorCode ierr;
6625   PetscInt       M,N;
6626 
6627   PetscFunctionBegin;
6628   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6629   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
6630   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
6631   PetscValidType(A,1);
6632   ierr = MatPreallocated(A);CHKERRQ(ierr);
6633 
6634   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
6635   if (N > M) {
6636     ierr = MatMult(A,x,y);CHKERRQ(ierr);
6637   } else {
6638     ierr = MatMultTranspose(A,x,y);CHKERRQ(ierr);
6639   }
6640   PetscFunctionReturn(0);
6641 }
6642 
6643 #undef __FUNCT__
6644 #define __FUNCT__ "MatNullSpaceAttach"
6645 /*@
6646    MatNullSpaceAttach - attaches a null space to a matrix.
6647         This null space will be removed from the resulting vector whenever
6648         MatMult() is called
6649 
6650    Collective on Mat
6651 
6652    Input Parameters:
6653 +  mat - the matrix
6654 -  nullsp - the null space object
6655 
6656    Level: developer
6657 
6658    Notes:
6659       Overwrites any previous null space that may have been attached
6660 
6661    Concepts: null space^attaching to matrix
6662 
6663 .seealso: MatCreate(), MatNullSpaceCreate()
6664 @*/
6665 PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceAttach(Mat mat,MatNullSpace nullsp)
6666 {
6667   PetscErrorCode ierr;
6668 
6669   PetscFunctionBegin;
6670   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6671   PetscValidType(mat,1);
6672   PetscValidHeaderSpecific(nullsp,MAT_NULLSPACE_COOKIE,2);
6673   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6674   ierr = PetscObjectReference((PetscObject)nullsp);CHKERRQ(ierr);
6675   if (mat->nullsp) { ierr = MatNullSpaceDestroy(mat->nullsp);CHKERRQ(ierr); }
6676   mat->nullsp = nullsp;
6677   PetscFunctionReturn(0);
6678 }
6679 
6680 #undef __FUNCT__
6681 #define __FUNCT__ "MatICCFactor"
6682 /*@C
6683    MatICCFactor - Performs in-place incomplete Cholesky factorization of matrix.
6684 
6685    Collective on Mat
6686 
6687    Input Parameters:
6688 +  mat - the matrix
6689 .  row - row/column permutation
6690 .  fill - expected fill factor >= 1.0
6691 -  level - level of fill, for ICC(k)
6692 
6693    Notes:
6694    Probably really in-place only when level of fill is zero, otherwise allocates
6695    new space to store factored matrix and deletes previous memory.
6696 
6697    Most users should employ the simplified KSP interface for linear solvers
6698    instead of working directly with matrix algebra routines such as this.
6699    See, e.g., KSPCreate().
6700 
6701    Level: developer
6702 
6703    Concepts: matrices^incomplete Cholesky factorization
6704    Concepts: Cholesky factorization
6705 
6706 .seealso: MatICCFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor()
6707 
6708     Developer Note: fortran interface is not autogenerated as the f90
6709     interface defintion cannot be generated correctly [due to MatFactorInfo]
6710 
6711 @*/
6712 PetscErrorCode PETSCMAT_DLLEXPORT MatICCFactor(Mat mat,IS row,const MatFactorInfo* info)
6713 {
6714   PetscErrorCode ierr;
6715 
6716   PetscFunctionBegin;
6717   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6718   PetscValidType(mat,1);
6719   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
6720   PetscValidPointer(info,3);
6721   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
6722   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6723   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6724   if (!mat->ops->iccfactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6725   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6726   ierr = (*mat->ops->iccfactor)(mat,row,info);CHKERRQ(ierr);
6727   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6728   PetscFunctionReturn(0);
6729 }
6730 
6731 #undef __FUNCT__
6732 #define __FUNCT__ "MatSetValuesAdic"
6733 /*@
6734    MatSetValuesAdic - Sets values computed with ADIC automatic differentiation into a matrix.
6735 
6736    Not Collective
6737 
6738    Input Parameters:
6739 +  mat - the matrix
6740 -  v - the values compute with ADIC
6741 
6742    Level: developer
6743 
6744    Notes:
6745      Must call MatSetColoring() before using this routine. Also this matrix must already
6746      have its nonzero pattern determined.
6747 
6748 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
6749           MatSetValues(), MatSetColoring(), MatSetValuesAdifor()
6750 @*/
6751 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesAdic(Mat mat,void *v)
6752 {
6753   PetscErrorCode ierr;
6754 
6755   PetscFunctionBegin;
6756   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6757   PetscValidType(mat,1);
6758   PetscValidPointer(mat,2);
6759 
6760   if (!mat->assembled) {
6761     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6762   }
6763   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6764   if (!mat->ops->setvaluesadic) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6765   ierr = (*mat->ops->setvaluesadic)(mat,v);CHKERRQ(ierr);
6766   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6767   ierr = MatView_Private(mat);CHKERRQ(ierr);
6768   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6769   PetscFunctionReturn(0);
6770 }
6771 
6772 
6773 #undef __FUNCT__
6774 #define __FUNCT__ "MatSetColoring"
6775 /*@
6776    MatSetColoring - Sets a coloring used by calls to MatSetValuesAdic()
6777 
6778    Not Collective
6779 
6780    Input Parameters:
6781 +  mat - the matrix
6782 -  coloring - the coloring
6783 
6784    Level: developer
6785 
6786 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
6787           MatSetValues(), MatSetValuesAdic()
6788 @*/
6789 PetscErrorCode PETSCMAT_DLLEXPORT MatSetColoring(Mat mat,ISColoring coloring)
6790 {
6791   PetscErrorCode ierr;
6792 
6793   PetscFunctionBegin;
6794   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6795   PetscValidType(mat,1);
6796   PetscValidPointer(coloring,2);
6797 
6798   if (!mat->assembled) {
6799     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6800   }
6801   if (!mat->ops->setcoloring) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6802   ierr = (*mat->ops->setcoloring)(mat,coloring);CHKERRQ(ierr);
6803   PetscFunctionReturn(0);
6804 }
6805 
6806 #undef __FUNCT__
6807 #define __FUNCT__ "MatSetValuesAdifor"
6808 /*@
6809    MatSetValuesAdifor - Sets values computed with automatic differentiation into a matrix.
6810 
6811    Not Collective
6812 
6813    Input Parameters:
6814 +  mat - the matrix
6815 .  nl - leading dimension of v
6816 -  v - the values compute with ADIFOR
6817 
6818    Level: developer
6819 
6820    Notes:
6821      Must call MatSetColoring() before using this routine. Also this matrix must already
6822      have its nonzero pattern determined.
6823 
6824 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
6825           MatSetValues(), MatSetColoring()
6826 @*/
6827 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesAdifor(Mat mat,PetscInt nl,void *v)
6828 {
6829   PetscErrorCode ierr;
6830 
6831   PetscFunctionBegin;
6832   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6833   PetscValidType(mat,1);
6834   PetscValidPointer(v,3);
6835 
6836   if (!mat->assembled) {
6837     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6838   }
6839   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6840   if (!mat->ops->setvaluesadifor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6841   ierr = (*mat->ops->setvaluesadifor)(mat,nl,v);CHKERRQ(ierr);
6842   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6843   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6844   PetscFunctionReturn(0);
6845 }
6846 
6847 #undef __FUNCT__
6848 #define __FUNCT__ "MatDiagonalScaleLocal"
6849 /*@
6850    MatDiagonalScaleLocal - Scales columns of a matrix given the scaling values including the
6851          ghosted ones.
6852 
6853    Not Collective
6854 
6855    Input Parameters:
6856 +  mat - the matrix
6857 -  diag = the diagonal values, including ghost ones
6858 
6859    Level: developer
6860 
6861    Notes: Works only for MPIAIJ and MPIBAIJ matrices
6862 
6863 .seealso: MatDiagonalScale()
6864 @*/
6865 PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalScaleLocal(Mat mat,Vec diag)
6866 {
6867   PetscErrorCode ierr;
6868   PetscMPIInt    size;
6869 
6870   PetscFunctionBegin;
6871   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6872   PetscValidHeaderSpecific(diag,VEC_COOKIE,2);
6873   PetscValidType(mat,1);
6874 
6875   if (!mat->assembled) {
6876     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6877   }
6878   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
6879   ierr = MPI_Comm_size(((PetscObject)mat)->comm,&size);CHKERRQ(ierr);
6880   if (size == 1) {
6881     PetscInt n,m;
6882     ierr = VecGetSize(diag,&n);CHKERRQ(ierr);
6883     ierr = MatGetSize(mat,0,&m);CHKERRQ(ierr);
6884     if (m == n) {
6885       ierr = MatDiagonalScale(mat,0,diag);CHKERRQ(ierr);
6886     } else {
6887       SETERRQ(PETSC_ERR_SUP,"Only supported for sequential matrices when no ghost points/periodic conditions");
6888     }
6889   } else {
6890     PetscErrorCode (*f)(Mat,Vec);
6891     ierr = PetscObjectQueryFunction((PetscObject)mat,"MatDiagonalScaleLocal_C",(void (**)(void))&f);CHKERRQ(ierr);
6892     if (f) {
6893       ierr = (*f)(mat,diag);CHKERRQ(ierr);
6894     } else {
6895       SETERRQ(PETSC_ERR_SUP,"Only supported for MPIAIJ and MPIBAIJ parallel matrices");
6896     }
6897   }
6898   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
6899   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6900   PetscFunctionReturn(0);
6901 }
6902 
6903 #undef __FUNCT__
6904 #define __FUNCT__ "MatGetInertia"
6905 /*@
6906    MatGetInertia - Gets the inertia from a factored matrix
6907 
6908    Collective on Mat
6909 
6910    Input Parameter:
6911 .  mat - the matrix
6912 
6913    Output Parameters:
6914 +   nneg - number of negative eigenvalues
6915 .   nzero - number of zero eigenvalues
6916 -   npos - number of positive eigenvalues
6917 
6918    Level: advanced
6919 
6920    Notes: Matrix must have been factored by MatCholeskyFactor()
6921 
6922 
6923 @*/
6924 PetscErrorCode PETSCMAT_DLLEXPORT MatGetInertia(Mat mat,PetscInt *nneg,PetscInt *nzero,PetscInt *npos)
6925 {
6926   PetscErrorCode ierr;
6927 
6928   PetscFunctionBegin;
6929   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6930   PetscValidType(mat,1);
6931   if (!mat->factor)    SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
6932   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Numeric factor mat is not assembled");
6933   if (!mat->ops->getinertia) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6934   ierr = (*mat->ops->getinertia)(mat,nneg,nzero,npos);CHKERRQ(ierr);
6935   PetscFunctionReturn(0);
6936 }
6937 
6938 /* ----------------------------------------------------------------*/
6939 #undef __FUNCT__
6940 #define __FUNCT__ "MatSolves"
6941 /*@C
6942    MatSolves - Solves A x = b, given a factored matrix, for a collection of vectors
6943 
6944    Collective on Mat and Vecs
6945 
6946    Input Parameters:
6947 +  mat - the factored matrix
6948 -  b - the right-hand-side vectors
6949 
6950    Output Parameter:
6951 .  x - the result vectors
6952 
6953    Notes:
6954    The vectors b and x cannot be the same.  I.e., one cannot
6955    call MatSolves(A,x,x).
6956 
6957    Notes:
6958    Most users should employ the simplified KSP interface for linear solvers
6959    instead of working directly with matrix algebra routines such as this.
6960    See, e.g., KSPCreate().
6961 
6962    Level: developer
6963 
6964    Concepts: matrices^triangular solves
6965 
6966 .seealso: MatSolveAdd(), MatSolveTranspose(), MatSolveTransposeAdd(), MatSolve()
6967 @*/
6968 PetscErrorCode PETSCMAT_DLLEXPORT MatSolves(Mat mat,Vecs b,Vecs x)
6969 {
6970   PetscErrorCode ierr;
6971 
6972   PetscFunctionBegin;
6973   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6974   PetscValidType(mat,1);
6975   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
6976   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
6977   if (!mat->rmap->N && !mat->cmap->N) PetscFunctionReturn(0);
6978 
6979   if (!mat->ops->solves) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6980   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6981   ierr = PetscLogEventBegin(MAT_Solves,mat,0,0,0);CHKERRQ(ierr);
6982   ierr = (*mat->ops->solves)(mat,b,x);CHKERRQ(ierr);
6983   ierr = PetscLogEventEnd(MAT_Solves,mat,0,0,0);CHKERRQ(ierr);
6984   PetscFunctionReturn(0);
6985 }
6986 
6987 #undef __FUNCT__
6988 #define __FUNCT__ "MatIsSymmetric"
6989 /*@
6990    MatIsSymmetric - Test whether a matrix is symmetric
6991 
6992    Collective on Mat
6993 
6994    Input Parameter:
6995 +  A - the matrix to test
6996 -  tol - difference between value and its transpose less than this amount counts as equal (use 0.0 for exact transpose)
6997 
6998    Output Parameters:
6999 .  flg - the result
7000 
7001    Level: intermediate
7002 
7003    Concepts: matrix^symmetry
7004 
7005 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetricKnown()
7006 @*/
7007 PetscErrorCode PETSCMAT_DLLEXPORT MatIsSymmetric(Mat A,PetscReal tol,PetscTruth *flg)
7008 {
7009   PetscErrorCode ierr;
7010 
7011   PetscFunctionBegin;
7012   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7013   PetscValidPointer(flg,2);
7014 
7015   if (!A->symmetric_set) {
7016     if (!A->ops->issymmetric) {
7017       const MatType mattype;
7018       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
7019       SETERRQ1(PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for symmetric",mattype);
7020     }
7021     ierr = (*A->ops->issymmetric)(A,tol,flg);CHKERRQ(ierr);
7022     if (!tol) {
7023       A->symmetric_set = PETSC_TRUE;
7024       A->symmetric = *flg;
7025       if (A->symmetric) {
7026 	A->structurally_symmetric_set = PETSC_TRUE;
7027 	A->structurally_symmetric     = PETSC_TRUE;
7028       }
7029     }
7030   } else if (A->symmetric) {
7031     *flg = PETSC_TRUE;
7032   } else if (!tol) {
7033     *flg = PETSC_FALSE;
7034   } else {
7035     if (!A->ops->issymmetric) {
7036       const MatType mattype;
7037       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
7038       SETERRQ1(PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for symmetric",mattype);
7039     }
7040     ierr = (*A->ops->issymmetric)(A,tol,flg);CHKERRQ(ierr);
7041   }
7042   PetscFunctionReturn(0);
7043 }
7044 
7045 #undef __FUNCT__
7046 #define __FUNCT__ "MatIsHermitian"
7047 /*@
7048    MatIsHermitian - Test whether a matrix is Hermitian
7049 
7050    Collective on Mat
7051 
7052    Input Parameter:
7053 +  A - the matrix to test
7054 -  tol - difference between value and its transpose less than this amount counts as equal (use 0.0 for exact Hermitian)
7055 
7056    Output Parameters:
7057 .  flg - the result
7058 
7059    Level: intermediate
7060 
7061    Concepts: matrix^symmetry
7062 
7063 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetricKnown()
7064 @*/
7065 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitian(Mat A,PetscReal tol,PetscTruth *flg)
7066 {
7067   PetscErrorCode ierr;
7068 
7069   PetscFunctionBegin;
7070   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7071   PetscValidPointer(flg,2);
7072 
7073   if (!A->hermitian_set) {
7074     if (!A->ops->ishermitian) {
7075       const MatType mattype;
7076       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
7077       SETERRQ1(PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for hermitian",mattype);
7078     }
7079     ierr = (*A->ops->ishermitian)(A,tol,flg);CHKERRQ(ierr);
7080     if (!tol) {
7081       A->hermitian_set = PETSC_TRUE;
7082       A->hermitian = *flg;
7083       if (A->hermitian) {
7084 	A->structurally_symmetric_set = PETSC_TRUE;
7085 	A->structurally_symmetric     = PETSC_TRUE;
7086       }
7087     }
7088   } else if (A->hermitian) {
7089     *flg = PETSC_TRUE;
7090   } else if (!tol) {
7091     *flg = PETSC_FALSE;
7092   } else {
7093     if (!A->ops->ishermitian) {
7094       const MatType mattype;
7095       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
7096       SETERRQ1(PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for hermitian",mattype);
7097     }
7098     ierr = (*A->ops->ishermitian)(A,tol,flg);CHKERRQ(ierr);
7099   }
7100   PetscFunctionReturn(0);
7101 }
7102 
7103 #undef __FUNCT__
7104 #define __FUNCT__ "MatIsSymmetricKnown"
7105 /*@
7106    MatIsSymmetricKnown - Checks the flag on the matrix to see if it is symmetric.
7107 
7108    Collective on Mat
7109 
7110    Input Parameter:
7111 .  A - the matrix to check
7112 
7113    Output Parameters:
7114 +  set - if the symmetric flag is set (this tells you if the next flag is valid)
7115 -  flg - the result
7116 
7117    Level: advanced
7118 
7119    Concepts: matrix^symmetry
7120 
7121    Note: Does not check the matrix values directly, so this may return unknown (set = PETSC_FALSE). Use MatIsSymmetric()
7122          if you want it explicitly checked
7123 
7124 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetric()
7125 @*/
7126 PetscErrorCode PETSCMAT_DLLEXPORT MatIsSymmetricKnown(Mat A,PetscTruth *set,PetscTruth *flg)
7127 {
7128   PetscFunctionBegin;
7129   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7130   PetscValidPointer(set,2);
7131   PetscValidPointer(flg,3);
7132   if (A->symmetric_set) {
7133     *set = PETSC_TRUE;
7134     *flg = A->symmetric;
7135   } else {
7136     *set = PETSC_FALSE;
7137   }
7138   PetscFunctionReturn(0);
7139 }
7140 
7141 #undef __FUNCT__
7142 #define __FUNCT__ "MatIsHermitianKnown"
7143 /*@
7144    MatIsHermitianKnown - Checks the flag on the matrix to see if it is hermitian.
7145 
7146    Collective on Mat
7147 
7148    Input Parameter:
7149 .  A - the matrix to check
7150 
7151    Output Parameters:
7152 +  set - if the hermitian flag is set (this tells you if the next flag is valid)
7153 -  flg - the result
7154 
7155    Level: advanced
7156 
7157    Concepts: matrix^symmetry
7158 
7159    Note: Does not check the matrix values directly, so this may return unknown (set = PETSC_FALSE). Use MatIsHermitian()
7160          if you want it explicitly checked
7161 
7162 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetric()
7163 @*/
7164 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitianKnown(Mat A,PetscTruth *set,PetscTruth *flg)
7165 {
7166   PetscFunctionBegin;
7167   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7168   PetscValidPointer(set,2);
7169   PetscValidPointer(flg,3);
7170   if (A->hermitian_set) {
7171     *set = PETSC_TRUE;
7172     *flg = A->hermitian;
7173   } else {
7174     *set = PETSC_FALSE;
7175   }
7176   PetscFunctionReturn(0);
7177 }
7178 
7179 #undef __FUNCT__
7180 #define __FUNCT__ "MatIsStructurallySymmetric"
7181 /*@
7182    MatIsStructurallySymmetric - Test whether a matrix is structurally symmetric
7183 
7184    Collective on Mat
7185 
7186    Input Parameter:
7187 .  A - the matrix to test
7188 
7189    Output Parameters:
7190 .  flg - the result
7191 
7192    Level: intermediate
7193 
7194    Concepts: matrix^symmetry
7195 
7196 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsSymmetric(), MatSetOption()
7197 @*/
7198 PetscErrorCode PETSCMAT_DLLEXPORT MatIsStructurallySymmetric(Mat A,PetscTruth *flg)
7199 {
7200   PetscErrorCode ierr;
7201 
7202   PetscFunctionBegin;
7203   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7204   PetscValidPointer(flg,2);
7205   if (!A->structurally_symmetric_set) {
7206     if (!A->ops->isstructurallysymmetric) SETERRQ(PETSC_ERR_SUP,"Matrix does not support checking for structural symmetric");
7207     ierr = (*A->ops->isstructurallysymmetric)(A,&A->structurally_symmetric);CHKERRQ(ierr);
7208     A->structurally_symmetric_set = PETSC_TRUE;
7209   }
7210   *flg = A->structurally_symmetric;
7211   PetscFunctionReturn(0);
7212 }
7213 
7214 #undef __FUNCT__
7215 #define __FUNCT__ "MatStashGetInfo"
7216 extern PetscErrorCode MatStashGetInfo_Private(MatStash*,PetscInt*,PetscInt*);
7217 /*@
7218    MatStashGetInfo - Gets how many values are currently in the vector stash, i.e. need
7219        to be communicated to other processors during the MatAssemblyBegin/End() process
7220 
7221     Not collective
7222 
7223    Input Parameter:
7224 .   vec - the vector
7225 
7226    Output Parameters:
7227 +   nstash   - the size of the stash
7228 .   reallocs - the number of additional mallocs incurred.
7229 .   bnstash   - the size of the block stash
7230 -   breallocs - the number of additional mallocs incurred.in the block stash
7231 
7232    Level: advanced
7233 
7234 .seealso: MatAssemblyBegin(), MatAssemblyEnd(), Mat, MatStashSetInitialSize()
7235 
7236 @*/
7237 PetscErrorCode PETSCMAT_DLLEXPORT MatStashGetInfo(Mat mat,PetscInt *nstash,PetscInt *reallocs,PetscInt *bnstash,PetscInt *breallocs)
7238 {
7239   PetscErrorCode ierr;
7240   PetscFunctionBegin;
7241   ierr = MatStashGetInfo_Private(&mat->stash,nstash,reallocs);CHKERRQ(ierr);
7242   ierr = MatStashGetInfo_Private(&mat->bstash,bnstash,breallocs);CHKERRQ(ierr);
7243   PetscFunctionReturn(0);
7244 }
7245 
7246 #undef __FUNCT__
7247 #define __FUNCT__ "MatGetVecs"
7248 /*@C
7249    MatGetVecs - Get vector(s) compatible with the matrix, i.e. with the same
7250      parallel layout
7251 
7252    Collective on Mat
7253 
7254    Input Parameter:
7255 .  mat - the matrix
7256 
7257    Output Parameter:
7258 +   right - (optional) vector that the matrix can be multiplied against
7259 -   left - (optional) vector that the matrix vector product can be stored in
7260 
7261   Level: advanced
7262 
7263 .seealso: MatCreate()
7264 @*/
7265 PetscErrorCode PETSCMAT_DLLEXPORT MatGetVecs(Mat mat,Vec *right,Vec *left)
7266 {
7267   PetscErrorCode ierr;
7268 
7269   PetscFunctionBegin;
7270   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
7271   PetscValidType(mat,1);
7272   ierr = MatPreallocated(mat);CHKERRQ(ierr);
7273   if (mat->ops->getvecs) {
7274     ierr = (*mat->ops->getvecs)(mat,right,left);CHKERRQ(ierr);
7275   } else {
7276     PetscMPIInt size;
7277     ierr = MPI_Comm_size(((PetscObject)mat)->comm, &size);CHKERRQ(ierr);
7278     if (right) {
7279       ierr = VecCreate(((PetscObject)mat)->comm,right);CHKERRQ(ierr);
7280       ierr = VecSetSizes(*right,mat->cmap->n,PETSC_DETERMINE);CHKERRQ(ierr);
7281       ierr = VecSetBlockSize(*right,mat->rmap->bs);CHKERRQ(ierr);
7282       if (size > 1) {
7283         /* New vectors uses Mat cmap and does not create a new one */
7284 	ierr = PetscLayoutDestroy((*right)->map);CHKERRQ(ierr);
7285 	(*right)->map = mat->cmap;
7286 	mat->cmap->refcnt++;
7287 
7288         ierr = VecSetType(*right,VECMPI);CHKERRQ(ierr);
7289       } else {ierr = VecSetType(*right,VECSEQ);CHKERRQ(ierr);}
7290     }
7291     if (left) {
7292       ierr = VecCreate(((PetscObject)mat)->comm,left);CHKERRQ(ierr);
7293       ierr = VecSetSizes(*left,mat->rmap->n,PETSC_DETERMINE);CHKERRQ(ierr);
7294       ierr = VecSetBlockSize(*left,mat->rmap->bs);CHKERRQ(ierr);
7295       if (size > 1) {
7296         /* New vectors uses Mat rmap and does not create a new one */
7297 	ierr = PetscLayoutDestroy((*left)->map);CHKERRQ(ierr);
7298 	(*left)->map = mat->rmap;
7299 	mat->rmap->refcnt++;
7300 
7301         ierr = VecSetType(*left,VECMPI);CHKERRQ(ierr);
7302       } else {ierr = VecSetType(*left,VECSEQ);CHKERRQ(ierr);}
7303     }
7304   }
7305   if (mat->mapping) {
7306     if (right) {ierr = VecSetLocalToGlobalMapping(*right,mat->mapping);CHKERRQ(ierr);}
7307     if (left) {ierr = VecSetLocalToGlobalMapping(*left,mat->mapping);CHKERRQ(ierr);}
7308   }
7309   if (mat->bmapping) {
7310     if (right) {ierr = VecSetLocalToGlobalMappingBlock(*right,mat->bmapping);CHKERRQ(ierr);}
7311     if (left) {ierr = VecSetLocalToGlobalMappingBlock(*left,mat->bmapping);CHKERRQ(ierr);}
7312   }
7313   PetscFunctionReturn(0);
7314 }
7315 
7316 #undef __FUNCT__
7317 #define __FUNCT__ "MatFactorInfoInitialize"
7318 /*@C
7319    MatFactorInfoInitialize - Initializes a MatFactorInfo data structure
7320      with default values.
7321 
7322    Not Collective
7323 
7324    Input Parameters:
7325 .    info - the MatFactorInfo data structure
7326 
7327 
7328    Notes: The solvers are generally used through the KSP and PC objects, for example
7329           PCLU, PCILU, PCCHOLESKY, PCICC
7330 
7331    Level: developer
7332 
7333 .seealso: MatFactorInfo
7334 
7335     Developer Note: fortran interface is not autogenerated as the f90
7336     interface defintion cannot be generated correctly [due to MatFactorInfo]
7337 
7338 @*/
7339 
7340 PetscErrorCode PETSCMAT_DLLEXPORT MatFactorInfoInitialize(MatFactorInfo *info)
7341 {
7342   PetscErrorCode ierr;
7343 
7344   PetscFunctionBegin;
7345   ierr = PetscMemzero(info,sizeof(MatFactorInfo));CHKERRQ(ierr);
7346   PetscFunctionReturn(0);
7347 }
7348 
7349 #undef __FUNCT__
7350 #define __FUNCT__ "MatPtAP"
7351 /*@
7352    MatPtAP - Creates the matrix projection C = P^T * A * P
7353 
7354    Collective on Mat
7355 
7356    Input Parameters:
7357 +  A - the matrix
7358 .  P - the projection matrix
7359 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7360 -  fill - expected fill as ratio of nnz(C)/nnz(A)
7361 
7362    Output Parameters:
7363 .  C - the product matrix
7364 
7365    Notes:
7366    C will be created and must be destroyed by the user with MatDestroy().
7367 
7368    This routine is currently only implemented for pairs of AIJ matrices and classes
7369    which inherit from AIJ.
7370 
7371    Level: intermediate
7372 
7373 .seealso: MatPtAPSymbolic(), MatPtAPNumeric(), MatMatMult()
7374 @*/
7375 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAP(Mat A,Mat P,MatReuse scall,PetscReal fill,Mat *C)
7376 {
7377   PetscErrorCode ierr;
7378 
7379   PetscFunctionBegin;
7380   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7381   PetscValidType(A,1);
7382   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7383   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7384   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
7385   PetscValidType(P,2);
7386   ierr = MatPreallocated(P);CHKERRQ(ierr);
7387   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7388   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7389   PetscValidPointer(C,3);
7390   if (P->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
7391   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be >= 1.0",fill);
7392   ierr = MatPreallocated(A);CHKERRQ(ierr);
7393 
7394   ierr = PetscLogEventBegin(MAT_PtAP,A,P,0,0);CHKERRQ(ierr);
7395   ierr = (*A->ops->ptap)(A,P,scall,fill,C);CHKERRQ(ierr);
7396   ierr = PetscLogEventEnd(MAT_PtAP,A,P,0,0);CHKERRQ(ierr);
7397 
7398   PetscFunctionReturn(0);
7399 }
7400 
7401 #undef __FUNCT__
7402 #define __FUNCT__ "MatPtAPNumeric"
7403 /*@
7404    MatPtAPNumeric - Computes the matrix projection C = P^T * A * P
7405 
7406    Collective on Mat
7407 
7408    Input Parameters:
7409 +  A - the matrix
7410 -  P - the projection matrix
7411 
7412    Output Parameters:
7413 .  C - the product matrix
7414 
7415    Notes:
7416    C must have been created by calling MatPtAPSymbolic and must be destroyed by
7417    the user using MatDeatroy().
7418 
7419    This routine is currently only implemented for pairs of AIJ matrices and classes
7420    which inherit from AIJ.  C will be of type MATAIJ.
7421 
7422    Level: intermediate
7423 
7424 .seealso: MatPtAP(), MatPtAPSymbolic(), MatMatMultNumeric()
7425 @*/
7426 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAPNumeric(Mat A,Mat P,Mat C)
7427 {
7428   PetscErrorCode ierr;
7429 
7430   PetscFunctionBegin;
7431   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7432   PetscValidType(A,1);
7433   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7434   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7435   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
7436   PetscValidType(P,2);
7437   ierr = MatPreallocated(P);CHKERRQ(ierr);
7438   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7439   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7440   PetscValidHeaderSpecific(C,MAT_COOKIE,3);
7441   PetscValidType(C,3);
7442   ierr = MatPreallocated(C);CHKERRQ(ierr);
7443   if (C->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7444   if (P->cmap->N!=C->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->cmap->N,C->rmap->N);
7445   if (P->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
7446   if (A->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix 'A' must be square, %D != %D",A->rmap->N,A->cmap->N);
7447   if (P->cmap->N!=C->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->cmap->N,C->cmap->N);
7448   ierr = MatPreallocated(A);CHKERRQ(ierr);
7449 
7450   ierr = PetscLogEventBegin(MAT_PtAPNumeric,A,P,0,0);CHKERRQ(ierr);
7451   ierr = (*A->ops->ptapnumeric)(A,P,C);CHKERRQ(ierr);
7452   ierr = PetscLogEventEnd(MAT_PtAPNumeric,A,P,0,0);CHKERRQ(ierr);
7453   PetscFunctionReturn(0);
7454 }
7455 
7456 #undef __FUNCT__
7457 #define __FUNCT__ "MatPtAPSymbolic"
7458 /*@
7459    MatPtAPSymbolic - Creates the (i,j) structure of the matrix projection C = P^T * A * P
7460 
7461    Collective on Mat
7462 
7463    Input Parameters:
7464 +  A - the matrix
7465 -  P - the projection matrix
7466 
7467    Output Parameters:
7468 .  C - the (i,j) structure of the product matrix
7469 
7470    Notes:
7471    C will be created and must be destroyed by the user with MatDestroy().
7472 
7473    This routine is currently only implemented for pairs of SeqAIJ matrices and classes
7474    which inherit from SeqAIJ.  C will be of type MATSEQAIJ.  The product is computed using
7475    this (i,j) structure by calling MatPtAPNumeric().
7476 
7477    Level: intermediate
7478 
7479 .seealso: MatPtAP(), MatPtAPNumeric(), MatMatMultSymbolic()
7480 @*/
7481 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAPSymbolic(Mat A,Mat P,PetscReal fill,Mat *C)
7482 {
7483   PetscErrorCode ierr;
7484 
7485   PetscFunctionBegin;
7486   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7487   PetscValidType(A,1);
7488   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7489   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7490   if (fill <1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be >= 1.0",fill);
7491   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
7492   PetscValidType(P,2);
7493   ierr = MatPreallocated(P);CHKERRQ(ierr);
7494   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7495   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7496   PetscValidPointer(C,3);
7497 
7498   if (P->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
7499   if (A->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix 'A' must be square, %D != %D",A->rmap->N,A->cmap->N);
7500   ierr = MatPreallocated(A);CHKERRQ(ierr);
7501   ierr = PetscLogEventBegin(MAT_PtAPSymbolic,A,P,0,0);CHKERRQ(ierr);
7502   ierr = (*A->ops->ptapsymbolic)(A,P,fill,C);CHKERRQ(ierr);
7503   ierr = PetscLogEventEnd(MAT_PtAPSymbolic,A,P,0,0);CHKERRQ(ierr);
7504 
7505   ierr = MatSetBlockSize(*C,A->rmap->bs);CHKERRQ(ierr);
7506 
7507   PetscFunctionReturn(0);
7508 }
7509 
7510 #undef __FUNCT__
7511 #define __FUNCT__ "MatMatMult"
7512 /*@
7513    MatMatMult - Performs Matrix-Matrix Multiplication C=A*B.
7514 
7515    Collective on Mat
7516 
7517    Input Parameters:
7518 +  A - the left matrix
7519 .  B - the right matrix
7520 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7521 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if you do not have a good estimate
7522           if the result is a dense matrix this is irrelevent
7523 
7524    Output Parameters:
7525 .  C - the product matrix
7526 
7527    Notes:
7528    Unless scall is MAT_REUSE_MATRIX C will be created.
7529 
7530    MAT_REUSE_MATRIX can only be used if the matrices A and B have the same nonzero pattern as in the previous call
7531 
7532    To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
7533    actually needed.
7534 
7535    If you have many matrices with the same non-zero structure to multiply, you
7536    should either
7537 $   1) use MAT_REUSE_MATRIX in all calls but the first or
7538 $   2) call MatMatMultSymbolic() once and then MatMatMultNumeric() for each product needed
7539 
7540    Level: intermediate
7541 
7542 .seealso: MatMatMultSymbolic(), MatMatMultNumeric(), MatPtAP()
7543 @*/
7544 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMult(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
7545 {
7546   PetscErrorCode ierr;
7547   PetscErrorCode (*fA)(Mat,Mat,MatReuse,PetscReal,Mat*);
7548   PetscErrorCode (*fB)(Mat,Mat,MatReuse,PetscReal,Mat*);
7549   PetscErrorCode (*mult)(Mat,Mat,MatReuse,PetscReal,Mat *)=PETSC_NULL;
7550 
7551   PetscFunctionBegin;
7552   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7553   PetscValidType(A,1);
7554   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7555   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7556   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7557   PetscValidType(B,2);
7558   ierr = MatPreallocated(B);CHKERRQ(ierr);
7559   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7560   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7561   PetscValidPointer(C,3);
7562   if (B->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
7563   if (scall == MAT_REUSE_MATRIX){
7564     PetscValidPointer(*C,5);
7565     PetscValidHeaderSpecific(*C,MAT_COOKIE,5);
7566   }
7567   if (fill == PETSC_DEFAULT || fill == PETSC_DECIDE) fill = 2.0;
7568   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be >= 1.0",fill);
7569   ierr = MatPreallocated(A);CHKERRQ(ierr);
7570 
7571   fA = A->ops->matmult;
7572   fB = B->ops->matmult;
7573   if (fB == fA) {
7574     if (!fB) SETERRQ1(PETSC_ERR_SUP,"MatMatMult not supported for B of type %s",((PetscObject)B)->type_name);
7575     mult = fB;
7576   } else {
7577     /* dispatch based on the type of A and B */
7578     char  multname[256];
7579     ierr = PetscStrcpy(multname,"MatMatMult_");CHKERRQ(ierr);
7580     ierr = PetscStrcat(multname,((PetscObject)A)->type_name);CHKERRQ(ierr);
7581     ierr = PetscStrcat(multname,"_");CHKERRQ(ierr);
7582     ierr = PetscStrcat(multname,((PetscObject)B)->type_name);CHKERRQ(ierr);
7583     ierr = PetscStrcat(multname,"_C");CHKERRQ(ierr); /* e.g., multname = "MatMatMult_seqdense_seqaij_C" */
7584     ierr = PetscObjectQueryFunction((PetscObject)B,multname,(void (**)(void))&mult);CHKERRQ(ierr);
7585     if (!mult) SETERRQ2(PETSC_ERR_ARG_INCOMP,"MatMatMult requires A, %s, to be compatible with B, %s",((PetscObject)A)->type_name,((PetscObject)B)->type_name);
7586   }
7587   ierr = PetscLogEventBegin(MAT_MatMult,A,B,0,0);CHKERRQ(ierr);
7588   ierr = (*mult)(A,B,scall,fill,C);CHKERRQ(ierr);
7589   ierr = PetscLogEventEnd(MAT_MatMult,A,B,0,0);CHKERRQ(ierr);
7590   PetscFunctionReturn(0);
7591 }
7592 
7593 #undef __FUNCT__
7594 #define __FUNCT__ "MatMatMultSymbolic"
7595 /*@
7596    MatMatMultSymbolic - Performs construction, preallocation, and computes the ij structure
7597    of the matrix-matrix product C=A*B.  Call this routine before calling MatMatMultNumeric().
7598 
7599    Collective on Mat
7600 
7601    Input Parameters:
7602 +  A - the left matrix
7603 .  B - the right matrix
7604 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if you do not have a good estimate,
7605       if C is a dense matrix this is irrelevent
7606 
7607    Output Parameters:
7608 .  C - the product matrix
7609 
7610    Notes:
7611    Unless scall is MAT_REUSE_MATRIX C will be created.
7612 
7613    To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
7614    actually needed.
7615 
7616    This routine is currently implemented for
7617     - pairs of AIJ matrices and classes which inherit from AIJ, C will be of type AIJ
7618     - pairs of AIJ (A) and Dense (B) matrix, C will be of type Dense.
7619     - pairs of Dense (A) and AIJ (B) matrix, C will be of type Dense.
7620 
7621    Level: intermediate
7622 
7623 .seealso: MatMatMult(), MatMatMultNumeric()
7624 @*/
7625 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultSymbolic(Mat A,Mat B,PetscReal fill,Mat *C)
7626 {
7627   PetscErrorCode ierr;
7628   PetscErrorCode (*Asymbolic)(Mat,Mat,PetscReal,Mat *);
7629   PetscErrorCode (*Bsymbolic)(Mat,Mat,PetscReal,Mat *);
7630   PetscErrorCode (*symbolic)(Mat,Mat,PetscReal,Mat *)=PETSC_NULL;
7631 
7632   PetscFunctionBegin;
7633   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7634   PetscValidType(A,1);
7635   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7636   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7637 
7638   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7639   PetscValidType(B,2);
7640   ierr = MatPreallocated(B);CHKERRQ(ierr);
7641   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7642   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7643   PetscValidPointer(C,3);
7644 
7645   if (B->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
7646   if (fill == PETSC_DEFAULT) fill = 2.0;
7647   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be > 1.0",fill);
7648   ierr = MatPreallocated(A);CHKERRQ(ierr);
7649 
7650   Asymbolic = A->ops->matmultsymbolic;
7651   Bsymbolic = B->ops->matmultsymbolic;
7652   if (Asymbolic == Bsymbolic){
7653     if (!Bsymbolic) SETERRQ1(PETSC_ERR_SUP,"C=A*B not implemented for B of type %s",((PetscObject)B)->type_name);
7654     symbolic = Bsymbolic;
7655   } else { /* dispatch based on the type of A and B */
7656     char  symbolicname[256];
7657     ierr = PetscStrcpy(symbolicname,"MatMatMultSymbolic_");CHKERRQ(ierr);
7658     ierr = PetscStrcat(symbolicname,((PetscObject)A)->type_name);CHKERRQ(ierr);
7659     ierr = PetscStrcat(symbolicname,"_");CHKERRQ(ierr);
7660     ierr = PetscStrcat(symbolicname,((PetscObject)B)->type_name);CHKERRQ(ierr);
7661     ierr = PetscStrcat(symbolicname,"_C");CHKERRQ(ierr);
7662     ierr = PetscObjectQueryFunction((PetscObject)B,symbolicname,(void (**)(void))&symbolic);CHKERRQ(ierr);
7663     if (!symbolic) SETERRQ2(PETSC_ERR_ARG_INCOMP,"MatMatMultSymbolic requires A, %s, to be compatible with B, %s",((PetscObject)A)->type_name,((PetscObject)B)->type_name);
7664   }
7665   ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
7666   ierr = (*symbolic)(A,B,fill,C);CHKERRQ(ierr);
7667   ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
7668   PetscFunctionReturn(0);
7669 }
7670 
7671 #undef __FUNCT__
7672 #define __FUNCT__ "MatMatMultNumeric"
7673 /*@
7674    MatMatMultNumeric - Performs the numeric matrix-matrix product.
7675    Call this routine after first calling MatMatMultSymbolic().
7676 
7677    Collective on Mat
7678 
7679    Input Parameters:
7680 +  A - the left matrix
7681 -  B - the right matrix
7682 
7683    Output Parameters:
7684 .  C - the product matrix, which was created by from MatMatMultSymbolic() or a call to MatMatMult().
7685 
7686    Notes:
7687    C must have been created with MatMatMultSymbolic().
7688 
7689    This routine is currently implemented for
7690     - pairs of AIJ matrices and classes which inherit from AIJ, C will be of type MATAIJ.
7691     - pairs of AIJ (A) and Dense (B) matrix, C will be of type Dense.
7692     - pairs of Dense (A) and AIJ (B) matrix, C will be of type Dense.
7693 
7694    Level: intermediate
7695 
7696 .seealso: MatMatMult(), MatMatMultSymbolic()
7697 @*/
7698 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultNumeric(Mat A,Mat B,Mat C)
7699 {
7700   PetscErrorCode ierr;
7701   PetscErrorCode (*Anumeric)(Mat,Mat,Mat);
7702   PetscErrorCode (*Bnumeric)(Mat,Mat,Mat);
7703   PetscErrorCode (*numeric)(Mat,Mat,Mat)=PETSC_NULL;
7704 
7705   PetscFunctionBegin;
7706   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7707   PetscValidType(A,1);
7708   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7709   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7710 
7711   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7712   PetscValidType(B,2);
7713   ierr = MatPreallocated(B);CHKERRQ(ierr);
7714   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7715   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7716 
7717   PetscValidHeaderSpecific(C,MAT_COOKIE,3);
7718   PetscValidType(C,3);
7719   ierr = MatPreallocated(C);CHKERRQ(ierr);
7720   if (!C->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7721   if (C->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7722 
7723   if (B->cmap->N!=C->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->cmap->N,C->cmap->N);
7724   if (B->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
7725   if (A->rmap->N!=C->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",A->rmap->N,C->rmap->N);
7726   ierr = MatPreallocated(A);CHKERRQ(ierr);
7727 
7728   Anumeric = A->ops->matmultnumeric;
7729   Bnumeric = B->ops->matmultnumeric;
7730   if (Anumeric == Bnumeric){
7731     if (!Bnumeric) SETERRQ1(PETSC_ERR_SUP,"MatMatMultNumeric not supported for B of type %s",((PetscObject)B)->type_name);
7732     numeric = Bnumeric;
7733   } else {
7734     char  numericname[256];
7735     ierr = PetscStrcpy(numericname,"MatMatMultNumeric_");CHKERRQ(ierr);
7736     ierr = PetscStrcat(numericname,((PetscObject)A)->type_name);CHKERRQ(ierr);
7737     ierr = PetscStrcat(numericname,"_");CHKERRQ(ierr);
7738     ierr = PetscStrcat(numericname,((PetscObject)B)->type_name);CHKERRQ(ierr);
7739     ierr = PetscStrcat(numericname,"_C");CHKERRQ(ierr);
7740     ierr = PetscObjectQueryFunction((PetscObject)B,numericname,(void (**)(void))&numeric);CHKERRQ(ierr);
7741     if (!numeric)
7742       SETERRQ2(PETSC_ERR_ARG_INCOMP,"MatMatMultNumeric requires A, %s, to be compatible with B, %s",((PetscObject)A)->type_name,((PetscObject)B)->type_name);
7743   }
7744   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
7745   ierr = (*numeric)(A,B,C);CHKERRQ(ierr);
7746   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
7747   PetscFunctionReturn(0);
7748 }
7749 
7750 #undef __FUNCT__
7751 #define __FUNCT__ "MatMatMultTranspose"
7752 /*@
7753    MatMatMultTranspose - Performs Matrix-Matrix Multiplication C=A^T*B.
7754 
7755    Collective on Mat
7756 
7757    Input Parameters:
7758 +  A - the left matrix
7759 .  B - the right matrix
7760 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7761 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if not known
7762 
7763    Output Parameters:
7764 .  C - the product matrix
7765 
7766    Notes:
7767    C will be created if MAT_INITIAL_MATRIX and must be destroyed by the user with MatDestroy().
7768 
7769    MAT_REUSE_MATRIX can only be used if the matrices A and B have the same nonzero pattern as in the previous call
7770 
7771   To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
7772    actually needed.
7773 
7774    This routine is currently only implemented for pairs of SeqAIJ matrices and pairs of SeqDense matrices and classes
7775    which inherit from SeqAIJ.  C will be of type MATSEQAIJ.
7776 
7777    Level: intermediate
7778 
7779 .seealso: MatMatMultTransposeSymbolic(), MatMatMultTransposeNumeric(), MatPtAP()
7780 @*/
7781 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultTranspose(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
7782 {
7783   PetscErrorCode ierr;
7784   PetscErrorCode (*fA)(Mat,Mat,MatReuse,PetscReal,Mat*);
7785   PetscErrorCode (*fB)(Mat,Mat,MatReuse,PetscReal,Mat*);
7786 
7787   PetscFunctionBegin;
7788   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7789   PetscValidType(A,1);
7790   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7791   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7792   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7793   PetscValidType(B,2);
7794   ierr = MatPreallocated(B);CHKERRQ(ierr);
7795   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7796   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7797   PetscValidPointer(C,3);
7798   if (B->rmap->N!=A->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->rmap->N);
7799   if (fill == PETSC_DEFAULT || fill == PETSC_DECIDE) fill = 2.0;
7800   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be > 1.0",fill);
7801   ierr = MatPreallocated(A);CHKERRQ(ierr);
7802 
7803   fA = A->ops->matmulttranspose;
7804   if (!fA) SETERRQ1(PETSC_ERR_SUP,"MatMatMultTranspose not supported for A of type %s",((PetscObject)A)->type_name);
7805   fB = B->ops->matmulttranspose;
7806   if (!fB) SETERRQ1(PETSC_ERR_SUP,"MatMatMultTranspose not supported for B of type %s",((PetscObject)B)->type_name);
7807   if (fB!=fA) SETERRQ2(PETSC_ERR_ARG_INCOMP,"MatMatMultTranspose requires A, %s, to be compatible with B, %s",((PetscObject)A)->type_name,((PetscObject)B)->type_name);
7808 
7809   ierr = PetscLogEventBegin(MAT_MatMultTranspose,A,B,0,0);CHKERRQ(ierr);
7810   ierr = (*A->ops->matmulttranspose)(A,B,scall,fill,C);CHKERRQ(ierr);
7811   ierr = PetscLogEventEnd(MAT_MatMultTranspose,A,B,0,0);CHKERRQ(ierr);
7812 
7813   PetscFunctionReturn(0);
7814 }
7815 
7816 #undef __FUNCT__
7817 #define __FUNCT__ "MatGetRedundantMatrix"
7818 /*@C
7819    MatGetRedundantMatrix - Create redundant matrices and put them into processors of subcommunicators.
7820 
7821    Collective on Mat
7822 
7823    Input Parameters:
7824 +  mat - the matrix
7825 .  nsubcomm - the number of subcommunicators (= number of redundant pareallel or sequential matrices)
7826 .  subcomm - MPI communicator split from the communicator where mat resides in
7827 .  mlocal_red - number of local rows of the redundant matrix
7828 -  reuse - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7829 
7830    Output Parameter:
7831 .  matredundant - redundant matrix
7832 
7833    Notes:
7834    MAT_REUSE_MATRIX can only be used when the nonzero structure of the
7835    original matrix has not changed from that last call to MatGetRedundantMatrix().
7836 
7837    This routine creates the duplicated matrices in subcommunicators; you should NOT create them before
7838    calling it.
7839 
7840    Only MPIAIJ matrix is supported.
7841 
7842    Level: advanced
7843 
7844    Concepts: subcommunicator
7845    Concepts: duplicate matrix
7846 
7847 .seealso: MatDestroy()
7848 @*/
7849 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRedundantMatrix(Mat mat,PetscInt nsubcomm,MPI_Comm subcomm,PetscInt mlocal_red,MatReuse reuse,Mat *matredundant)
7850 {
7851   PetscErrorCode ierr;
7852 
7853   PetscFunctionBegin;
7854   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
7855   if (nsubcomm && reuse == MAT_REUSE_MATRIX) {
7856     PetscValidPointer(*matredundant,6);
7857     PetscValidHeaderSpecific(*matredundant,MAT_COOKIE,6);
7858   }
7859   if (!mat->ops->getredundantmatrix) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
7860   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7861   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7862   ierr = MatPreallocated(mat);CHKERRQ(ierr);
7863 
7864   ierr = PetscLogEventBegin(MAT_GetRedundantMatrix,mat,0,0,0);CHKERRQ(ierr);
7865   ierr = (*mat->ops->getredundantmatrix)(mat,nsubcomm,subcomm,mlocal_red,reuse,matredundant);CHKERRQ(ierr);
7866   ierr = PetscLogEventEnd(MAT_GetRedundantMatrix,mat,0,0,0);CHKERRQ(ierr);
7867   PetscFunctionReturn(0);
7868 }
7869