xref: /petsc/src/mat/interface/matrix.c (revision 4aa3045d83914e00674d51ff6fb6b94ef17679f6)
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_Relax, 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 = PetscMapDestroy(A->rmap);CHKERRQ(ierr);
861   ierr = PetscMapDestroy(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    By the values, v, are column-oriented (for the block version) and sorted
1028 
1029    All the nonzeros in the row must be provided
1030 
1031    The matrix must have previously had its column indices set
1032 
1033    The row must belong to this process
1034 
1035    Level: intermediate
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 .  v - a logically two-dimensional array of values
1078 .  m - number of rows being entered
1079 .  idxm - grid coordinates (and component number when dof > 1) for matrix rows being entered
1080 .  n - number of columns being entered
1081 .  idxn - grid coordinates (and component number when dof > 1) for matrix columns being entered
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 .  v - a logically two-dimensional array of values
1192 .  m - number of rows being entered
1193 .  idxm - grid coordinates for matrix rows being entered
1194 .  n - number of columns being entered
1195 .  idxn - grid coordinates for matrix columns being entered
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 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 @*/
1247 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlockedStencil(Mat mat,PetscInt m,const MatStencil idxm[],PetscInt n,const MatStencil idxn[],const PetscScalar v[],InsertMode addv)
1248 {
1249   PetscErrorCode ierr;
1250   PetscInt       j,i,jdxm[128],jdxn[256],dim = mat->stencil.dim,*dims = mat->stencil.dims+1,tmp;
1251   PetscInt       *starts = mat->stencil.starts,*dxm = (PetscInt*)idxm,*dxn = (PetscInt*)idxn,sdim = dim - (1 - (PetscInt)mat->stencil.noc);
1252 
1253   PetscFunctionBegin;
1254   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1255   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1256   PetscValidType(mat,1);
1257   PetscValidIntPointer(idxm,3);
1258   PetscValidIntPointer(idxn,5);
1259   PetscValidScalarPointer(v,6);
1260 
1261   if (m > 128) SETERRQ1(PETSC_ERR_SUP,"Can only set 128 rows at a time; trying to set %D",m);
1262   if (n > 128) SETERRQ1(PETSC_ERR_SUP,"Can only set 256 columns at a time; trying to set %D",n);
1263 
1264   for (i=0; i<m; i++) {
1265     for (j=0; j<3-sdim; j++) dxm++;
1266     tmp = *dxm++ - starts[0];
1267     for (j=0; j<sdim-1; j++) {
1268       if ((*dxm++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1269       else                                      tmp = tmp*dims[j] + *(dxm-1) - starts[j+1];
1270     }
1271     dxm++;
1272     jdxm[i] = tmp;
1273   }
1274   for (i=0; i<n; i++) {
1275     for (j=0; j<3-sdim; j++) dxn++;
1276     tmp = *dxn++ - starts[0];
1277     for (j=0; j<sdim-1; j++) {
1278       if ((*dxn++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1279       else                                       tmp = tmp*dims[j] + *(dxn-1) - starts[j+1];
1280     }
1281     dxn++;
1282     jdxn[i] = tmp;
1283   }
1284   ierr = MatSetValuesBlockedLocal(mat,m,jdxm,n,jdxn,v,addv);CHKERRQ(ierr);
1285   PetscFunctionReturn(0);
1286 }
1287 
1288 #undef __FUNCT__
1289 #define __FUNCT__ "MatSetStencil"
1290 /*@
1291    MatSetStencil - Sets the grid information for setting values into a matrix via
1292         MatSetValuesStencil()
1293 
1294    Not Collective
1295 
1296    Input Parameters:
1297 +  mat - the matrix
1298 .  dim - dimension of the grid 1, 2, or 3
1299 .  dims - number of grid points in x, y, and z direction, including ghost points on your processor
1300 .  starts - starting point of ghost nodes on your processor in x, y, and z direction
1301 -  dof - number of degrees of freedom per node
1302 
1303 
1304    Inspired by the structured grid interface to the HYPRE package
1305    (www.llnl.gov/CASC/hyper)
1306 
1307    For matrices generated with DAGetMatrix() this routine is automatically called and so not needed by the
1308    user.
1309 
1310    Level: beginner
1311 
1312    Concepts: matrices^putting entries in
1313 
1314 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1315           MatSetValues(), MatSetValuesBlockedStencil(), MatSetValuesStencil()
1316 @*/
1317 PetscErrorCode PETSCMAT_DLLEXPORT MatSetStencil(Mat mat,PetscInt dim,const PetscInt dims[],const PetscInt starts[],PetscInt dof)
1318 {
1319   PetscInt i;
1320 
1321   PetscFunctionBegin;
1322   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1323   PetscValidIntPointer(dims,3);
1324   PetscValidIntPointer(starts,4);
1325 
1326   mat->stencil.dim = dim + (dof > 1);
1327   for (i=0; i<dim; i++) {
1328     mat->stencil.dims[i]   = dims[dim-i-1];      /* copy the values in backwards */
1329     mat->stencil.starts[i] = starts[dim-i-1];
1330   }
1331   mat->stencil.dims[dim]   = dof;
1332   mat->stencil.starts[dim] = 0;
1333   mat->stencil.noc         = (PetscTruth)(dof == 1);
1334   PetscFunctionReturn(0);
1335 }
1336 
1337 #undef __FUNCT__
1338 #define __FUNCT__ "MatSetValuesBlocked"
1339 /*@
1340    MatSetValuesBlocked - Inserts or adds a block of values into a matrix.
1341 
1342    Not Collective
1343 
1344    Input Parameters:
1345 +  mat - the matrix
1346 .  v - a logically two-dimensional array of values
1347 .  m, idxm - the number of block rows and their global block indices
1348 .  n, idxn - the number of block columns and their global block indices
1349 -  addv - either ADD_VALUES or INSERT_VALUES, where
1350    ADD_VALUES adds values to any existing entries, and
1351    INSERT_VALUES replaces existing entries with new values
1352 
1353    Notes:
1354    The m and n count the NUMBER of blocks in the row direction and column direction,
1355    NOT the total number of rows/columns; for example, if the block size is 2 and
1356    you are passing in values for rows 2,3,4,5  then m would be 2 (not 4).
1357    The values in idxm would be 1 2; that is the first index for each block divided by
1358    the block size.
1359 
1360    By default the values, v, are row-oriented. So the layout of
1361    v is the same as for MatSetValues(). See MatSetOption() for other options.
1362 
1363    Calls to MatSetValuesBlocked() with the INSERT_VALUES and ADD_VALUES
1364    options cannot be mixed without intervening calls to the assembly
1365    routines.
1366 
1367    MatSetValuesBlocked() uses 0-based row and column numbers in Fortran
1368    as well as in C.
1369 
1370    Negative indices may be passed in idxm and idxn, these rows and columns are
1371    simply ignored. This allows easily inserting element stiffness matrices
1372    with homogeneous Dirchlet boundary conditions that you don't want represented
1373    in the matrix.
1374 
1375    Each time an entry is set within a sparse matrix via MatSetValues(),
1376    internal searching must be done to determine where to place the the
1377    data in the matrix storage space.  By instead inserting blocks of
1378    entries via MatSetValuesBlocked(), the overhead of matrix assembly is
1379    reduced.
1380 
1381    Example:
1382 $   Suppose m=n=2 and block size(bs) = 2 The array is
1383 $
1384 $   1  2  | 3  4
1385 $   5  6  | 7  8
1386 $   - - - | - - -
1387 $   9  10 | 11 12
1388 $   13 14 | 15 16
1389 $
1390 $   v[] should be passed in like
1391 $   v[] = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]
1392 $
1393 $  If you are not using row oriented storage of v (that is you called MatSetOption(mat,MAT_ROW_ORIENTED,PETSC_FALSE)) then
1394 $   v[] = [1,5,9,13,2,6,10,14,3,7,11,15,4,8,12,16]
1395 
1396    Level: intermediate
1397 
1398    Concepts: matrices^putting entries in blocked
1399 
1400 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesBlockedLocal()
1401 @*/
1402 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlocked(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],const PetscScalar v[],InsertMode addv)
1403 {
1404   PetscErrorCode ierr;
1405 
1406   PetscFunctionBegin;
1407   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1408   PetscValidType(mat,1);
1409   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1410   PetscValidIntPointer(idxm,3);
1411   PetscValidIntPointer(idxn,5);
1412   PetscValidScalarPointer(v,6);
1413   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1414   if (mat->insertmode == NOT_SET_VALUES) {
1415     mat->insertmode = addv;
1416   }
1417 #if defined(PETSC_USE_DEBUG)
1418   else if (mat->insertmode != addv) {
1419     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1420   }
1421   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1422 #endif
1423 
1424   if (mat->assembled) {
1425     mat->was_assembled = PETSC_TRUE;
1426     mat->assembled     = PETSC_FALSE;
1427   }
1428   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1429   if (mat->ops->setvaluesblocked) {
1430     ierr = (*mat->ops->setvaluesblocked)(mat,m,idxm,n,idxn,v,addv);CHKERRQ(ierr);
1431   } else {
1432     PetscInt buf[4096],*ibufm=0,*ibufn=0;
1433     PetscInt i,j,*iidxm,*iidxn,bs=mat->rmap->bs;
1434     if ((m+n)*bs <= 4096) {
1435       iidxm = buf; iidxn = buf + m*bs;
1436     } else {
1437       ierr = PetscMalloc2(m*bs,PetscInt,&ibufm,n*bs,PetscInt,&ibufn);CHKERRQ(ierr);
1438       iidxm = ibufm; iidxn = ibufn;
1439     }
1440     for (i=0; i<m; i++) {
1441       for (j=0; j<bs; j++) {
1442 	iidxm[i*bs+j] = bs*idxm[i] + j;
1443       }
1444     }
1445     for (i=0; i<n; i++) {
1446       for (j=0; j<bs; j++) {
1447 	iidxn[i*bs+j] = bs*idxn[i] + j;
1448       }
1449     }
1450     ierr = MatSetValues(mat,bs*m,iidxm,bs*n,iidxn,v,addv);CHKERRQ(ierr);
1451     ierr = PetscFree2(ibufm,ibufn);CHKERRQ(ierr);
1452   }
1453   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1454   PetscFunctionReturn(0);
1455 }
1456 
1457 #undef __FUNCT__
1458 #define __FUNCT__ "MatGetValues"
1459 /*@
1460    MatGetValues - Gets a block of values from a matrix.
1461 
1462    Not Collective; currently only returns a local block
1463 
1464    Input Parameters:
1465 +  mat - the matrix
1466 .  v - a logically two-dimensional array for storing the values
1467 .  m, idxm - the number of rows and their global indices
1468 -  n, idxn - the number of columns and their global indices
1469 
1470    Notes:
1471    The user must allocate space (m*n PetscScalars) for the values, v.
1472    The values, v, are then returned in a row-oriented format,
1473    analogous to that used by default in MatSetValues().
1474 
1475    MatGetValues() uses 0-based row and column numbers in
1476    Fortran as well as in C.
1477 
1478    MatGetValues() requires that the matrix has been assembled
1479    with MatAssemblyBegin()/MatAssemblyEnd().  Thus, calls to
1480    MatSetValues() and MatGetValues() CANNOT be made in succession
1481    without intermediate matrix assembly.
1482 
1483    Negative row or column indices will be ignored and those locations in v[] will be
1484    left unchanged.
1485 
1486    Level: advanced
1487 
1488    Concepts: matrices^accessing values
1489 
1490 .seealso: MatGetRow(), MatGetSubMatrices(), MatSetValues()
1491 @*/
1492 PetscErrorCode PETSCMAT_DLLEXPORT MatGetValues(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
1493 {
1494   PetscErrorCode ierr;
1495 
1496   PetscFunctionBegin;
1497   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1498   PetscValidType(mat,1);
1499   PetscValidIntPointer(idxm,3);
1500   PetscValidIntPointer(idxn,5);
1501   PetscValidScalarPointer(v,6);
1502   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1503   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1504   if (!mat->ops->getvalues) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
1505   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1506 
1507   ierr = PetscLogEventBegin(MAT_GetValues,mat,0,0,0);CHKERRQ(ierr);
1508   ierr = (*mat->ops->getvalues)(mat,m,idxm,n,idxn,v);CHKERRQ(ierr);
1509   ierr = PetscLogEventEnd(MAT_GetValues,mat,0,0,0);CHKERRQ(ierr);
1510   PetscFunctionReturn(0);
1511 }
1512 
1513 #undef __FUNCT__
1514 #define __FUNCT__ "MatSetLocalToGlobalMapping"
1515 /*@
1516    MatSetLocalToGlobalMapping - Sets a local-to-global numbering for use by
1517    the routine MatSetValuesLocal() to allow users to insert matrix entries
1518    using a local (per-processor) numbering.
1519 
1520    Not Collective
1521 
1522    Input Parameters:
1523 +  x - the matrix
1524 -  mapping - mapping created with ISLocalToGlobalMappingCreate()
1525              or ISLocalToGlobalMappingCreateIS()
1526 
1527    Level: intermediate
1528 
1529    Concepts: matrices^local to global mapping
1530    Concepts: local to global mapping^for matrices
1531 
1532 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesLocal()
1533 @*/
1534 PetscErrorCode PETSCMAT_DLLEXPORT MatSetLocalToGlobalMapping(Mat x,ISLocalToGlobalMapping mapping)
1535 {
1536   PetscErrorCode ierr;
1537   PetscFunctionBegin;
1538   PetscValidHeaderSpecific(x,MAT_COOKIE,1);
1539   PetscValidType(x,1);
1540   PetscValidHeaderSpecific(mapping,IS_LTOGM_COOKIE,2);
1541   if (x->mapping) {
1542     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Mapping already set for matrix");
1543   }
1544   ierr = MatPreallocated(x);CHKERRQ(ierr);
1545 
1546   if (x->ops->setlocaltoglobalmapping) {
1547     ierr = (*x->ops->setlocaltoglobalmapping)(x,mapping);CHKERRQ(ierr);
1548   } else {
1549     ierr = PetscObjectReference((PetscObject)mapping);CHKERRQ(ierr);
1550     if (x->mapping) { ierr = ISLocalToGlobalMappingDestroy(x->mapping);CHKERRQ(ierr); }
1551     x->mapping = mapping;
1552   }
1553   PetscFunctionReturn(0);
1554 }
1555 
1556 #undef __FUNCT__
1557 #define __FUNCT__ "MatSetLocalToGlobalMappingBlock"
1558 /*@
1559    MatSetLocalToGlobalMappingBlock - Sets a local-to-global numbering for use
1560    by the routine MatSetValuesBlockedLocal() to allow users to insert matrix
1561    entries using a local (per-processor) numbering.
1562 
1563    Not Collective
1564 
1565    Input Parameters:
1566 +  x - the matrix
1567 -  mapping - mapping created with ISLocalToGlobalMappingCreate() or
1568              ISLocalToGlobalMappingCreateIS()
1569 
1570    Level: intermediate
1571 
1572    Concepts: matrices^local to global mapping blocked
1573    Concepts: local to global mapping^for matrices, blocked
1574 
1575 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesBlockedLocal(),
1576            MatSetValuesBlocked(), MatSetValuesLocal()
1577 @*/
1578 PetscErrorCode PETSCMAT_DLLEXPORT MatSetLocalToGlobalMappingBlock(Mat x,ISLocalToGlobalMapping mapping)
1579 {
1580   PetscErrorCode ierr;
1581   PetscFunctionBegin;
1582   PetscValidHeaderSpecific(x,MAT_COOKIE,1);
1583   PetscValidType(x,1);
1584   PetscValidHeaderSpecific(mapping,IS_LTOGM_COOKIE,2);
1585   if (x->bmapping) {
1586     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Mapping already set for matrix");
1587   }
1588   ierr = PetscObjectReference((PetscObject)mapping);CHKERRQ(ierr);
1589   if (x->bmapping) { ierr = ISLocalToGlobalMappingDestroy(x->bmapping);CHKERRQ(ierr); }
1590   x->bmapping = mapping;
1591   PetscFunctionReturn(0);
1592 }
1593 
1594 #undef __FUNCT__
1595 #define __FUNCT__ "MatSetValuesLocal"
1596 /*@
1597    MatSetValuesLocal - Inserts or adds values into certain locations of a matrix,
1598    using a local ordering of the nodes.
1599 
1600    Not Collective
1601 
1602    Input Parameters:
1603 +  x - the matrix
1604 .  nrow, irow - number of rows and their local indices
1605 .  ncol, icol - number of columns and their local indices
1606 .  y -  a logically two-dimensional array of values
1607 -  addv - either INSERT_VALUES or ADD_VALUES, where
1608    ADD_VALUES adds values to any existing entries, and
1609    INSERT_VALUES replaces existing entries with new values
1610 
1611    Notes:
1612    Before calling MatSetValuesLocal(), the user must first set the
1613    local-to-global mapping by calling MatSetLocalToGlobalMapping().
1614 
1615    Calls to MatSetValuesLocal() with the INSERT_VALUES and ADD_VALUES
1616    options cannot be mixed without intervening calls to the assembly
1617    routines.
1618 
1619    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
1620    MUST be called after all calls to MatSetValuesLocal() have been completed.
1621 
1622    Level: intermediate
1623 
1624    Concepts: matrices^putting entries in with local numbering
1625 
1626 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetLocalToGlobalMapping(),
1627            MatSetValueLocal()
1628 @*/
1629 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesLocal(Mat mat,PetscInt nrow,const PetscInt irow[],PetscInt ncol,const PetscInt icol[],const PetscScalar y[],InsertMode addv)
1630 {
1631   PetscErrorCode ierr;
1632   PetscInt       irowm[2048],icolm[2048];
1633 
1634   PetscFunctionBegin;
1635   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1636   PetscValidType(mat,1);
1637   if (!nrow || !ncol) PetscFunctionReturn(0); /* no values to insert */
1638   PetscValidIntPointer(irow,3);
1639   PetscValidIntPointer(icol,5);
1640   PetscValidScalarPointer(y,6);
1641   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1642   if (mat->insertmode == NOT_SET_VALUES) {
1643     mat->insertmode = addv;
1644   }
1645 #if defined(PETSC_USE_DEBUG)
1646   else if (mat->insertmode != addv) {
1647     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1648   }
1649   if (!mat->ops->setvalueslocal && (nrow > 2048 || ncol > 2048)) {
1650     SETERRQ2(PETSC_ERR_SUP,"Number column/row indices must be <= 2048: are %D %D",nrow,ncol);
1651   }
1652   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1653 #endif
1654 
1655   if (mat->assembled) {
1656     mat->was_assembled = PETSC_TRUE;
1657     mat->assembled     = PETSC_FALSE;
1658   }
1659   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1660   if (!mat->ops->setvalueslocal) {
1661     ierr = ISLocalToGlobalMappingApply(mat->mapping,nrow,irow,irowm);CHKERRQ(ierr);
1662     ierr = ISLocalToGlobalMappingApply(mat->mapping,ncol,icol,icolm);CHKERRQ(ierr);
1663     ierr = (*mat->ops->setvalues)(mat,nrow,irowm,ncol,icolm,y,addv);CHKERRQ(ierr);
1664   } else {
1665     ierr = (*mat->ops->setvalueslocal)(mat,nrow,irow,ncol,icol,y,addv);CHKERRQ(ierr);
1666   }
1667   mat->same_nonzero = PETSC_FALSE;
1668   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1669   PetscFunctionReturn(0);
1670 }
1671 
1672 #undef __FUNCT__
1673 #define __FUNCT__ "MatSetValuesBlockedLocal"
1674 /*@
1675    MatSetValuesBlockedLocal - Inserts or adds values into certain locations of a matrix,
1676    using a local ordering of the nodes a block at a time.
1677 
1678    Not Collective
1679 
1680    Input Parameters:
1681 +  x - the matrix
1682 .  nrow, irow - number of rows and their local indices
1683 .  ncol, icol - number of columns and their local indices
1684 .  y -  a logically two-dimensional array of values
1685 -  addv - either INSERT_VALUES or ADD_VALUES, where
1686    ADD_VALUES adds values to any existing entries, and
1687    INSERT_VALUES replaces existing entries with new values
1688 
1689    Notes:
1690    Before calling MatSetValuesBlockedLocal(), the user must first set the
1691    local-to-global mapping by calling MatSetLocalToGlobalMappingBlock(),
1692    where the mapping MUST be set for matrix blocks, not for matrix elements.
1693 
1694    Calls to MatSetValuesBlockedLocal() with the INSERT_VALUES and ADD_VALUES
1695    options cannot be mixed without intervening calls to the assembly
1696    routines.
1697 
1698    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
1699    MUST be called after all calls to MatSetValuesBlockedLocal() have been completed.
1700 
1701    Level: intermediate
1702 
1703    Concepts: matrices^putting blocked values in with local numbering
1704 
1705 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesLocal(), MatSetLocalToGlobalMappingBlock(), MatSetValuesBlocked()
1706 @*/
1707 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlockedLocal(Mat mat,PetscInt nrow,const PetscInt irow[],PetscInt ncol,const PetscInt icol[],const PetscScalar y[],InsertMode addv)
1708 {
1709   PetscErrorCode ierr;
1710   PetscInt       irowm[2048],icolm[2048];
1711 
1712   PetscFunctionBegin;
1713   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1714   PetscValidType(mat,1);
1715   if (!nrow || !ncol) PetscFunctionReturn(0); /* no values to insert */
1716   PetscValidIntPointer(irow,3);
1717   PetscValidIntPointer(icol,5);
1718   PetscValidScalarPointer(y,6);
1719   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1720   if (mat->insertmode == NOT_SET_VALUES) {
1721     mat->insertmode = addv;
1722   }
1723 #if defined(PETSC_USE_DEBUG)
1724   else if (mat->insertmode != addv) {
1725     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1726   }
1727   if (!mat->bmapping) {
1728     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Local to global never set with MatSetLocalToGlobalMappingBlock()");
1729   }
1730   if (nrow > 2048 || ncol > 2048) {
1731     SETERRQ2(PETSC_ERR_SUP,"Number column/row indices must be <= 2048: are %D %D",nrow,ncol);
1732   }
1733   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1734 #endif
1735 
1736   if (mat->assembled) {
1737     mat->was_assembled = PETSC_TRUE;
1738     mat->assembled     = PETSC_FALSE;
1739   }
1740   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1741   ierr = ISLocalToGlobalMappingApply(mat->bmapping,nrow,irow,irowm);CHKERRQ(ierr);
1742   ierr = ISLocalToGlobalMappingApply(mat->bmapping,ncol,icol,icolm);CHKERRQ(ierr);
1743   if (mat->ops->setvaluesblocked) {
1744   ierr = (*mat->ops->setvaluesblocked)(mat,nrow,irowm,ncol,icolm,y,addv);CHKERRQ(ierr);
1745   } else {
1746     PetscInt buf[4096],*ibufm=0,*ibufn=0;
1747     PetscInt i,j,*iirowm,*iicolm,bs=mat->rmap->bs;
1748     if ((nrow+ncol)*bs <= 4096) {
1749       iirowm = buf; iicolm = buf + nrow*bs;
1750     } else {
1751       ierr = PetscMalloc2(nrow*bs,PetscInt,&ibufm,ncol*bs,PetscInt,&ibufn);CHKERRQ(ierr);
1752       iirowm = ibufm; iicolm = ibufn;
1753     }
1754     for (i=0; i<nrow; i++) {
1755       for (j=0; j<bs; j++) {
1756 	iirowm[i*bs+j] = bs*irowm[i] + j;
1757       }
1758     }
1759     for (i=0; i<ncol; i++) {
1760       for (j=0; j<bs; j++) {
1761 	iicolm[i*bs+j] = bs*icolm[i] + j;
1762       }
1763     }
1764     ierr = MatSetValues(mat,bs*nrow,iirowm,bs*ncol,iicolm,y,addv);CHKERRQ(ierr);
1765     ierr = PetscFree2(ibufm,ibufn);CHKERRQ(ierr);
1766   }
1767   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1768   PetscFunctionReturn(0);
1769 }
1770 
1771 /* --------------------------------------------------------*/
1772 #undef __FUNCT__
1773 #define __FUNCT__ "MatMult"
1774 /*@
1775    MatMult - Computes the matrix-vector product, y = Ax.
1776 
1777    Collective on Mat and Vec
1778 
1779    Input Parameters:
1780 +  mat - the matrix
1781 -  x   - the vector to be multiplied
1782 
1783    Output Parameters:
1784 .  y - the result
1785 
1786    Notes:
1787    The vectors x and y cannot be the same.  I.e., one cannot
1788    call MatMult(A,y,y).
1789 
1790    Level: beginner
1791 
1792    Concepts: matrix-vector product
1793 
1794 .seealso: MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
1795 @*/
1796 PetscErrorCode PETSCMAT_DLLEXPORT MatMult(Mat mat,Vec x,Vec y)
1797 {
1798   PetscErrorCode ierr;
1799 
1800   PetscFunctionBegin;
1801   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1802   PetscValidType(mat,1);
1803   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1804   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1805 
1806   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1807   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1808   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1809 #ifndef PETSC_HAVE_CONSTRAINTS
1810   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);
1811   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);
1812   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);
1813 #endif
1814   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1815 
1816   if (mat->nullsp) {
1817     ierr = MatNullSpaceRemove(mat->nullsp,x,&x);CHKERRQ(ierr);
1818   }
1819 
1820   if (!mat->ops->mult) SETERRQ(PETSC_ERR_SUP,"This matrix type does not have a multiply defined");
1821   ierr = PetscLogEventBegin(MAT_Mult,mat,x,y,0);CHKERRQ(ierr);
1822   ierr = (*mat->ops->mult)(mat,x,y);CHKERRQ(ierr);
1823   ierr = PetscLogEventEnd(MAT_Mult,mat,x,y,0);CHKERRQ(ierr);
1824 
1825   if (mat->nullsp) {
1826     ierr = MatNullSpaceRemove(mat->nullsp,y,PETSC_NULL);CHKERRQ(ierr);
1827   }
1828   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1829   PetscFunctionReturn(0);
1830 }
1831 
1832 #undef __FUNCT__
1833 #define __FUNCT__ "MatMultTranspose"
1834 /*@
1835    MatMultTranspose - Computes matrix transpose times a vector.
1836 
1837    Collective on Mat and Vec
1838 
1839    Input Parameters:
1840 +  mat - the matrix
1841 -  x   - the vector to be multilplied
1842 
1843    Output Parameters:
1844 .  y - the result
1845 
1846    Notes:
1847    The vectors x and y cannot be the same.  I.e., one cannot
1848    call MatMultTranspose(A,y,y).
1849 
1850    Level: beginner
1851 
1852    Concepts: matrix vector product^transpose
1853 
1854 .seealso: MatMult(), MatMultAdd(), MatMultTransposeAdd()
1855 @*/
1856 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTranspose(Mat mat,Vec x,Vec y)
1857 {
1858   PetscErrorCode ierr;
1859 
1860   PetscFunctionBegin;
1861   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1862   PetscValidType(mat,1);
1863   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1864   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1865 
1866   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1867   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1868   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1869 #ifndef PETSC_HAVE_CONSTRAINTS
1870   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);
1871   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);
1872 #endif
1873   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1874 
1875   if (!mat->ops->multtranspose) SETERRQ(PETSC_ERR_SUP,"This matrix type does not have a multiply tranpose defined");
1876   ierr = PetscLogEventBegin(MAT_MultTranspose,mat,x,y,0);CHKERRQ(ierr);
1877   ierr = (*mat->ops->multtranspose)(mat,x,y);CHKERRQ(ierr);
1878   ierr = PetscLogEventEnd(MAT_MultTranspose,mat,x,y,0);CHKERRQ(ierr);
1879   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1880   PetscFunctionReturn(0);
1881 }
1882 
1883 #undef __FUNCT__
1884 #define __FUNCT__ "MatMultAdd"
1885 /*@
1886     MatMultAdd -  Computes v3 = v2 + A * v1.
1887 
1888     Collective on Mat and Vec
1889 
1890     Input Parameters:
1891 +   mat - the matrix
1892 -   v1, v2 - the vectors
1893 
1894     Output Parameters:
1895 .   v3 - the result
1896 
1897     Notes:
1898     The vectors v1 and v3 cannot be the same.  I.e., one cannot
1899     call MatMultAdd(A,v1,v2,v1).
1900 
1901     Level: beginner
1902 
1903     Concepts: matrix vector product^addition
1904 
1905 .seealso: MatMultTranspose(), MatMult(), MatMultTransposeAdd()
1906 @*/
1907 PetscErrorCode PETSCMAT_DLLEXPORT MatMultAdd(Mat mat,Vec v1,Vec v2,Vec v3)
1908 {
1909   PetscErrorCode ierr;
1910 
1911   PetscFunctionBegin;
1912   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1913   PetscValidType(mat,1);
1914   PetscValidHeaderSpecific(v1,VEC_COOKIE,2);
1915   PetscValidHeaderSpecific(v2,VEC_COOKIE,3);
1916   PetscValidHeaderSpecific(v3,VEC_COOKIE,4);
1917 
1918   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1919   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1920   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);
1921   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);
1922   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);
1923   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);
1924   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);
1925   if (v1 == v3) SETERRQ(PETSC_ERR_ARG_IDN,"v1 and v3 must be different vectors");
1926   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1927 
1928   ierr = PetscLogEventBegin(MAT_MultAdd,mat,v1,v2,v3);CHKERRQ(ierr);
1929   ierr = (*mat->ops->multadd)(mat,v1,v2,v3);CHKERRQ(ierr);
1930   ierr = PetscLogEventEnd(MAT_MultAdd,mat,v1,v2,v3);CHKERRQ(ierr);
1931   ierr = PetscObjectStateIncrease((PetscObject)v3);CHKERRQ(ierr);
1932   PetscFunctionReturn(0);
1933 }
1934 
1935 #undef __FUNCT__
1936 #define __FUNCT__ "MatMultTransposeAdd"
1937 /*@
1938    MatMultTransposeAdd - Computes v3 = v2 + A' * v1.
1939 
1940    Collective on Mat and Vec
1941 
1942    Input Parameters:
1943 +  mat - the matrix
1944 -  v1, v2 - the vectors
1945 
1946    Output Parameters:
1947 .  v3 - the result
1948 
1949    Notes:
1950    The vectors v1 and v3 cannot be the same.  I.e., one cannot
1951    call MatMultTransposeAdd(A,v1,v2,v1).
1952 
1953    Level: beginner
1954 
1955    Concepts: matrix vector product^transpose and addition
1956 
1957 .seealso: MatMultTranspose(), MatMultAdd(), MatMult()
1958 @*/
1959 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeAdd(Mat mat,Vec v1,Vec v2,Vec v3)
1960 {
1961   PetscErrorCode ierr;
1962 
1963   PetscFunctionBegin;
1964   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1965   PetscValidType(mat,1);
1966   PetscValidHeaderSpecific(v1,VEC_COOKIE,2);
1967   PetscValidHeaderSpecific(v2,VEC_COOKIE,3);
1968   PetscValidHeaderSpecific(v3,VEC_COOKIE,4);
1969 
1970   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1971   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1972   if (!mat->ops->multtransposeadd) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
1973   if (v1 == v3) SETERRQ(PETSC_ERR_ARG_IDN,"v1 and v3 must be different vectors");
1974   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);
1975   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);
1976   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);
1977   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1978 
1979   ierr = PetscLogEventBegin(MAT_MultTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
1980   ierr = (*mat->ops->multtransposeadd)(mat,v1,v2,v3);CHKERRQ(ierr);
1981   ierr = PetscLogEventEnd(MAT_MultTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
1982   ierr = PetscObjectStateIncrease((PetscObject)v3);CHKERRQ(ierr);
1983   PetscFunctionReturn(0);
1984 }
1985 
1986 #undef __FUNCT__
1987 #define __FUNCT__ "MatMultConstrained"
1988 /*@
1989    MatMultConstrained - The inner multiplication routine for a
1990    constrained matrix P^T A P.
1991 
1992    Collective on Mat and Vec
1993 
1994    Input Parameters:
1995 +  mat - the matrix
1996 -  x   - the vector to be multilplied
1997 
1998    Output Parameters:
1999 .  y - the result
2000 
2001    Notes:
2002    The vectors x and y cannot be the same.  I.e., one cannot
2003    call MatMult(A,y,y).
2004 
2005    Level: beginner
2006 
2007 .keywords: matrix, multiply, matrix-vector product, constraint
2008 .seealso: MatMult(), MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
2009 @*/
2010 PetscErrorCode PETSCMAT_DLLEXPORT MatMultConstrained(Mat mat,Vec x,Vec y)
2011 {
2012   PetscErrorCode ierr;
2013 
2014   PetscFunctionBegin;
2015   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2016   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
2017   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
2018   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2019   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2020   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
2021   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);
2022   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);
2023   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);
2024 
2025   ierr = PetscLogEventBegin(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2026   ierr = (*mat->ops->multconstrained)(mat,x,y);CHKERRQ(ierr);
2027   ierr = PetscLogEventEnd(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2028   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
2029 
2030   PetscFunctionReturn(0);
2031 }
2032 
2033 #undef __FUNCT__
2034 #define __FUNCT__ "MatMultTransposeConstrained"
2035 /*@
2036    MatMultTransposeConstrained - The inner multiplication routine for a
2037    constrained matrix P^T A^T P.
2038 
2039    Collective on Mat and Vec
2040 
2041    Input Parameters:
2042 +  mat - the matrix
2043 -  x   - the vector to be multilplied
2044 
2045    Output Parameters:
2046 .  y - the result
2047 
2048    Notes:
2049    The vectors x and y cannot be the same.  I.e., one cannot
2050    call MatMult(A,y,y).
2051 
2052    Level: beginner
2053 
2054 .keywords: matrix, multiply, matrix-vector product, constraint
2055 .seealso: MatMult(), MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
2056 @*/
2057 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeConstrained(Mat mat,Vec x,Vec y)
2058 {
2059   PetscErrorCode ierr;
2060 
2061   PetscFunctionBegin;
2062   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2063   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
2064   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
2065   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2066   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2067   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
2068   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);
2069   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);
2070 
2071   ierr = PetscLogEventBegin(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2072   ierr = (*mat->ops->multtransposeconstrained)(mat,x,y);CHKERRQ(ierr);
2073   ierr = PetscLogEventEnd(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2074   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
2075 
2076   PetscFunctionReturn(0);
2077 }
2078 /* ------------------------------------------------------------*/
2079 #undef __FUNCT__
2080 #define __FUNCT__ "MatGetInfo"
2081 /*@
2082    MatGetInfo - Returns information about matrix storage (number of
2083    nonzeros, memory, etc.).
2084 
2085    Collective on Mat if MAT_GLOBAL_MAX or MAT_GLOBAL_SUM is used
2086    as the flag
2087 
2088    Input Parameters:
2089 .  mat - the matrix
2090 
2091    Output Parameters:
2092 +  flag - flag indicating the type of parameters to be returned
2093    (MAT_LOCAL - local matrix, MAT_GLOBAL_MAX - maximum over all processors,
2094    MAT_GLOBAL_SUM - sum over all processors)
2095 -  info - matrix information context
2096 
2097    Notes:
2098    The MatInfo context contains a variety of matrix data, including
2099    number of nonzeros allocated and used, number of mallocs during
2100    matrix assembly, etc.  Additional information for factored matrices
2101    is provided (such as the fill ratio, number of mallocs during
2102    factorization, etc.).  Much of this info is printed to PETSC_STDOUT
2103    when using the runtime options
2104 $       -info -mat_view_info
2105 
2106    Example for C/C++ Users:
2107    See the file ${PETSC_DIR}/include/petscmat.h for a complete list of
2108    data within the MatInfo context.  For example,
2109 .vb
2110       MatInfo info;
2111       Mat     A;
2112       double  mal, nz_a, nz_u;
2113 
2114       MatGetInfo(A,MAT_LOCAL,&info);
2115       mal  = info.mallocs;
2116       nz_a = info.nz_allocated;
2117 .ve
2118 
2119    Example for Fortran Users:
2120    Fortran users should declare info as a double precision
2121    array of dimension MAT_INFO_SIZE, and then extract the parameters
2122    of interest.  See the file ${PETSC_DIR}/include/finclude/petscmat.h
2123    a complete list of parameter names.
2124 .vb
2125       double  precision info(MAT_INFO_SIZE)
2126       double  precision mal, nz_a
2127       Mat     A
2128       integer ierr
2129 
2130       call MatGetInfo(A,MAT_LOCAL,info,ierr)
2131       mal = info(MAT_INFO_MALLOCS)
2132       nz_a = info(MAT_INFO_NZ_ALLOCATED)
2133 .ve
2134 
2135     Level: intermediate
2136 
2137     Concepts: matrices^getting information on
2138 
2139 @*/
2140 PetscErrorCode PETSCMAT_DLLEXPORT MatGetInfo(Mat mat,MatInfoType flag,MatInfo *info)
2141 {
2142   PetscErrorCode ierr;
2143 
2144   PetscFunctionBegin;
2145   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2146   PetscValidType(mat,1);
2147   PetscValidPointer(info,3);
2148   if (!mat->ops->getinfo) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2149   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2150   ierr = (*mat->ops->getinfo)(mat,flag,info);CHKERRQ(ierr);
2151   PetscFunctionReturn(0);
2152 }
2153 
2154 /* ----------------------------------------------------------*/
2155 #undef __FUNCT__
2156 #define __FUNCT__ "MatILUDTFactor"
2157 /*@C
2158    MatILUDTFactor - Performs a drop tolerance ILU factorization.
2159 
2160    Collective on Mat
2161 
2162    Input Parameters:
2163 +  mat - the matrix
2164 .  row - row permutation
2165 .  col - column permutation
2166 -  info - information about the factorization to be done
2167 
2168    Output Parameters:
2169 .  fact - the factored matrix
2170 
2171    Level: developer
2172 
2173    Notes:
2174    Most users should employ the simplified KSP interface for linear solvers
2175    instead of working directly with matrix algebra routines such as this.
2176    See, e.g., KSPCreate().
2177 
2178    This is currently only supported for the SeqAIJ matrix format using code
2179    from Yousef Saad's SPARSEKIT2  package (translated to C with f2c) and/or
2180    Matlab. SPARSEKIT2 is copyrighted by Yousef Saad with the GNU copyright
2181    and thus can be distributed with PETSc.
2182 
2183     Concepts: matrices^ILUDT factorization
2184 
2185 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
2186 @*/
2187 PetscErrorCode PETSCMAT_DLLEXPORT MatILUDTFactor(Mat mat,IS row,IS col,const MatFactorInfo *info,Mat *fact)
2188 {
2189   PetscErrorCode ierr;
2190 
2191   PetscFunctionBegin;
2192   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2193   PetscValidType(mat,1);
2194   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2195   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2196   PetscValidPointer(info,4);
2197   PetscValidPointer(fact,5);
2198   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2199   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2200   if (!mat->ops->iludtfactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2201   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
2202   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2203   ierr = PetscLogEventBegin(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2204   ierr = (*mat->ops->iludtfactor)(mat,row,col,info,fact);CHKERRQ(ierr);
2205   ierr = PetscLogEventEnd(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2206   ierr = PetscObjectStateIncrease((PetscObject)*fact);CHKERRQ(ierr);
2207 
2208   PetscFunctionReturn(0);
2209 }
2210 
2211 #undef __FUNCT__
2212 #define __FUNCT__ "MatLUFactor"
2213 /*@
2214    MatLUFactor - Performs in-place LU factorization of matrix.
2215 
2216    Collective on Mat
2217 
2218    Input Parameters:
2219 +  mat - the matrix
2220 .  row - row permutation
2221 .  col - column permutation
2222 -  info - options for factorization, includes
2223 $          fill - expected fill as ratio of original fill.
2224 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2225 $                   Run with the option -info to determine an optimal value to use
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    This changes the state of the matrix to a factored matrix; it cannot be used
2233    for example with MatSetValues() unless one first calls MatSetUnfactored().
2234 
2235    Level: developer
2236 
2237    Concepts: matrices^LU factorization
2238 
2239 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(),
2240           MatGetOrdering(), MatSetUnfactored(), MatFactorInfo
2241 
2242 @*/
2243 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactor(Mat mat,IS row,IS col,const MatFactorInfo *info)
2244 {
2245   PetscErrorCode ierr;
2246 
2247   PetscFunctionBegin;
2248   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2249   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2250   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2251   PetscValidPointer(info,4);
2252   PetscValidType(mat,1);
2253   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2254   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2255   if (!mat->ops->lufactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2256   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2257 
2258   ierr = PetscLogEventBegin(MAT_LUFactor,mat,row,col,0);CHKERRQ(ierr);
2259   ierr = (*mat->ops->lufactor)(mat,row,col,info);CHKERRQ(ierr);
2260   ierr = PetscLogEventEnd(MAT_LUFactor,mat,row,col,0);CHKERRQ(ierr);
2261   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2262   PetscFunctionReturn(0);
2263 }
2264 
2265 #undef __FUNCT__
2266 #define __FUNCT__ "MatILUFactor"
2267 /*@
2268    MatILUFactor - Performs in-place ILU factorization of matrix.
2269 
2270    Collective on Mat
2271 
2272    Input Parameters:
2273 +  mat - the matrix
2274 .  row - row permutation
2275 .  col - column permutation
2276 -  info - structure containing
2277 $      levels - number of levels of fill.
2278 $      expected fill - as ratio of original fill.
2279 $      1 or 0 - indicating force fill on diagonal (improves robustness for matrices
2280                 missing diagonal entries)
2281 
2282    Notes:
2283    Probably really in-place only when level of fill is zero, otherwise allocates
2284    new space to store factored matrix and deletes previous memory.
2285 
2286    Most users should employ the simplified KSP interface for linear solvers
2287    instead of working directly with matrix algebra routines such as this.
2288    See, e.g., KSPCreate().
2289 
2290    Level: developer
2291 
2292    Concepts: matrices^ILU factorization
2293 
2294 .seealso: MatILUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
2295 @*/
2296 PetscErrorCode PETSCMAT_DLLEXPORT MatILUFactor(Mat mat,IS row,IS col,const MatFactorInfo *info)
2297 {
2298   PetscErrorCode ierr;
2299 
2300   PetscFunctionBegin;
2301   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2302   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2303   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2304   PetscValidPointer(info,4);
2305   PetscValidType(mat,1);
2306   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
2307   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2308   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2309   if (!mat->ops->ilufactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2310   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2311 
2312   ierr = PetscLogEventBegin(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2313   ierr = (*mat->ops->ilufactor)(mat,row,col,info);CHKERRQ(ierr);
2314   ierr = PetscLogEventEnd(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2315   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2316   PetscFunctionReturn(0);
2317 }
2318 
2319 #undef __FUNCT__
2320 #define __FUNCT__ "MatLUFactorSymbolic"
2321 /*@
2322    MatLUFactorSymbolic - Performs symbolic LU factorization of matrix.
2323    Call this routine before calling MatLUFactorNumeric().
2324 
2325    Collective on Mat
2326 
2327    Input Parameters:
2328 +  fact - the factor matrix obtained with MatGetFactor()
2329 .  mat - the matrix
2330 .  row, col - row and column permutations
2331 -  info - options for factorization, includes
2332 $          fill - expected fill as ratio of original fill.
2333 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2334 $                   Run with the option -info to determine an optimal value to use
2335 
2336 
2337    Notes:
2338    See the users manual for additional information about
2339    choosing the fill factor for better efficiency.
2340 
2341    Most users should employ the simplified KSP interface for linear solvers
2342    instead of working directly with matrix algebra routines such as this.
2343    See, e.g., KSPCreate().
2344 
2345    Level: developer
2346 
2347    Concepts: matrices^LU symbolic factorization
2348 
2349 .seealso: MatLUFactor(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
2350 @*/
2351 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactorSymbolic(Mat fact,Mat mat,IS row,IS col,const MatFactorInfo *info)
2352 {
2353   PetscErrorCode ierr;
2354 
2355   PetscFunctionBegin;
2356   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2357   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2358   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2359   PetscValidPointer(info,4);
2360   PetscValidType(mat,1);
2361   PetscValidPointer(fact,5);
2362   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2363   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2364   if (!(fact)->ops->lufactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic LU",((PetscObject)mat)->type_name);
2365   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2366 
2367   ierr = PetscLogEventBegin(MAT_LUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
2368   ierr = (fact->ops->lufactorsymbolic)(fact,mat,row,col,info);CHKERRQ(ierr);
2369   ierr = PetscLogEventEnd(MAT_LUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
2370   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2371   PetscFunctionReturn(0);
2372 }
2373 
2374 #undef __FUNCT__
2375 #define __FUNCT__ "MatLUFactorNumeric"
2376 /*@
2377    MatLUFactorNumeric - Performs numeric LU factorization of a matrix.
2378    Call this routine after first calling MatLUFactorSymbolic().
2379 
2380    Collective on Mat
2381 
2382    Input Parameters:
2383 +  fact - the factor matrix obtained with MatGetFactor()
2384 .  mat - the matrix
2385 -  info - options for factorization
2386 
2387    Notes:
2388    See MatLUFactor() for in-place factorization.  See
2389    MatCholeskyFactorNumeric() for the symmetric, positive definite case.
2390 
2391    Most users should employ the simplified KSP interface for linear solvers
2392    instead of working directly with matrix algebra routines such as this.
2393    See, e.g., KSPCreate().
2394 
2395    Level: developer
2396 
2397    Concepts: matrices^LU numeric factorization
2398 
2399 .seealso: MatLUFactorSymbolic(), MatLUFactor(), MatCholeskyFactor()
2400 @*/
2401 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactorNumeric(Mat fact,Mat mat,const MatFactorInfo *info)
2402 {
2403   PetscErrorCode ierr;
2404 
2405   PetscFunctionBegin;
2406   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2407   PetscValidType(mat,1);
2408   PetscValidPointer(fact,2);
2409   PetscValidHeaderSpecific(fact,MAT_COOKIE,2);
2410   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2411   if (mat->rmap->N != (fact)->rmap->N || mat->cmap->N != (fact)->cmap->N) {
2412     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);
2413   }
2414   if (!(fact)->ops->lufactornumeric) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2415   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2416   ierr = PetscLogEventBegin(MAT_LUFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2417   ierr = (fact->ops->lufactornumeric)(fact,mat,info);CHKERRQ(ierr);
2418   ierr = PetscLogEventEnd(MAT_LUFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2419 
2420   ierr = MatView_Private(fact);CHKERRQ(ierr);
2421   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2422   PetscFunctionReturn(0);
2423 }
2424 
2425 #undef __FUNCT__
2426 #define __FUNCT__ "MatCholeskyFactor"
2427 /*@
2428    MatCholeskyFactor - Performs in-place Cholesky factorization of a
2429    symmetric matrix.
2430 
2431    Collective on Mat
2432 
2433    Input Parameters:
2434 +  mat - the matrix
2435 .  perm - row and column permutations
2436 -  f - expected fill as ratio of original fill
2437 
2438    Notes:
2439    See MatLUFactor() for the nonsymmetric case.  See also
2440    MatCholeskyFactorSymbolic(), and MatCholeskyFactorNumeric().
2441 
2442    Most users should employ the simplified KSP interface for linear solvers
2443    instead of working directly with matrix algebra routines such as this.
2444    See, e.g., KSPCreate().
2445 
2446    Level: developer
2447 
2448    Concepts: matrices^Cholesky factorization
2449 
2450 .seealso: MatLUFactor(), MatCholeskyFactorSymbolic(), MatCholeskyFactorNumeric()
2451           MatGetOrdering()
2452 
2453 @*/
2454 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactor(Mat mat,IS perm,const MatFactorInfo *info)
2455 {
2456   PetscErrorCode ierr;
2457 
2458   PetscFunctionBegin;
2459   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2460   PetscValidType(mat,1);
2461   PetscValidHeaderSpecific(perm,IS_COOKIE,2);
2462   PetscValidPointer(info,3);
2463   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"Matrix must be square");
2464   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2465   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2466   if (!mat->ops->choleskyfactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2467   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2468 
2469   ierr = PetscLogEventBegin(MAT_CholeskyFactor,mat,perm,0,0);CHKERRQ(ierr);
2470   ierr = (*mat->ops->choleskyfactor)(mat,perm,info);CHKERRQ(ierr);
2471   ierr = PetscLogEventEnd(MAT_CholeskyFactor,mat,perm,0,0);CHKERRQ(ierr);
2472   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2473   PetscFunctionReturn(0);
2474 }
2475 
2476 #undef __FUNCT__
2477 #define __FUNCT__ "MatCholeskyFactorSymbolic"
2478 /*@
2479    MatCholeskyFactorSymbolic - Performs symbolic Cholesky factorization
2480    of a symmetric matrix.
2481 
2482    Collective on Mat
2483 
2484    Input Parameters:
2485 +  fact - the factor matrix obtained with MatGetFactor()
2486 .  mat - the matrix
2487 .  perm - row and column permutations
2488 -  info - options for factorization, includes
2489 $          fill - expected fill as ratio of original fill.
2490 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2491 $                   Run with the option -info to determine an optimal value to use
2492 
2493    Notes:
2494    See MatLUFactorSymbolic() for the nonsymmetric case.  See also
2495    MatCholeskyFactor() and MatCholeskyFactorNumeric().
2496 
2497    Most users should employ the simplified KSP interface for linear solvers
2498    instead of working directly with matrix algebra routines such as this.
2499    See, e.g., KSPCreate().
2500 
2501    Level: developer
2502 
2503    Concepts: matrices^Cholesky symbolic factorization
2504 
2505 .seealso: MatLUFactorSymbolic(), MatCholeskyFactor(), MatCholeskyFactorNumeric()
2506           MatGetOrdering()
2507 
2508 @*/
2509 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactorSymbolic(Mat fact,Mat mat,IS perm,const MatFactorInfo *info)
2510 {
2511   PetscErrorCode ierr;
2512 
2513   PetscFunctionBegin;
2514   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2515   PetscValidType(mat,1);
2516   if (perm) PetscValidHeaderSpecific(perm,IS_COOKIE,2);
2517   PetscValidPointer(info,3);
2518   PetscValidPointer(fact,4);
2519   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"Matrix must be square");
2520   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2521   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2522   if (!(fact)->ops->choleskyfactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2523   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2524 
2525   ierr = PetscLogEventBegin(MAT_CholeskyFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
2526   ierr = (fact->ops->choleskyfactorsymbolic)(fact,mat,perm,info);CHKERRQ(ierr);
2527   ierr = PetscLogEventEnd(MAT_CholeskyFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
2528   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2529   PetscFunctionReturn(0);
2530 }
2531 
2532 #undef __FUNCT__
2533 #define __FUNCT__ "MatCholeskyFactorNumeric"
2534 /*@
2535    MatCholeskyFactorNumeric - Performs numeric Cholesky factorization
2536    of a symmetric matrix. Call this routine after first calling
2537    MatCholeskyFactorSymbolic().
2538 
2539    Collective on Mat
2540 
2541    Input Parameters:
2542 +  fact - the factor matrix obtained with MatGetFactor()
2543 .  mat - the initial matrix
2544 .  info - options for factorization
2545 -  fact - the symbolic factor of mat
2546 
2547 
2548    Notes:
2549    Most users should employ the simplified KSP interface for linear solvers
2550    instead of working directly with matrix algebra routines such as this.
2551    See, e.g., KSPCreate().
2552 
2553    Level: developer
2554 
2555    Concepts: matrices^Cholesky numeric factorization
2556 
2557 .seealso: MatCholeskyFactorSymbolic(), MatCholeskyFactor(), MatLUFactorNumeric()
2558 @*/
2559 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactorNumeric(Mat fact,Mat mat,const MatFactorInfo *info)
2560 {
2561   PetscErrorCode ierr;
2562 
2563   PetscFunctionBegin;
2564   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2565   PetscValidType(mat,1);
2566   PetscValidPointer(fact,2);
2567   PetscValidHeaderSpecific(fact,MAT_COOKIE,2);
2568   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2569   if (!(fact)->ops->choleskyfactornumeric) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2570   if (mat->rmap->N != (fact)->rmap->N || mat->cmap->N != (fact)->cmap->N) {
2571     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);
2572   }
2573   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2574 
2575   ierr = PetscLogEventBegin(MAT_CholeskyFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2576   ierr = (fact->ops->choleskyfactornumeric)(fact,mat,info);CHKERRQ(ierr);
2577   ierr = PetscLogEventEnd(MAT_CholeskyFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2578 
2579   ierr = MatView_Private(fact);CHKERRQ(ierr);
2580   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2581   PetscFunctionReturn(0);
2582 }
2583 
2584 /* ----------------------------------------------------------------*/
2585 #undef __FUNCT__
2586 #define __FUNCT__ "MatSolve"
2587 /*@
2588    MatSolve - Solves A x = b, given a factored matrix.
2589 
2590    Collective on Mat and Vec
2591 
2592    Input Parameters:
2593 +  mat - the factored matrix
2594 -  b - the right-hand-side vector
2595 
2596    Output Parameter:
2597 .  x - the result vector
2598 
2599    Notes:
2600    The vectors b and x cannot be the same.  I.e., one cannot
2601    call MatSolve(A,x,x).
2602 
2603    Notes:
2604    Most users should employ the simplified KSP interface for linear solvers
2605    instead of working directly with matrix algebra routines such as this.
2606    See, e.g., KSPCreate().
2607 
2608    Level: developer
2609 
2610    Concepts: matrices^triangular solves
2611 
2612 .seealso: MatSolveAdd(), MatSolveTranspose(), MatSolveTransposeAdd()
2613 @*/
2614 PetscErrorCode PETSCMAT_DLLEXPORT MatSolve(Mat mat,Vec b,Vec x)
2615 {
2616   PetscErrorCode ierr;
2617 
2618   PetscFunctionBegin;
2619   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2620   PetscValidType(mat,1);
2621   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2622   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2623   PetscCheckSameComm(mat,1,b,2);
2624   PetscCheckSameComm(mat,1,x,3);
2625   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2626   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2627   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);
2628   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);
2629   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);
2630   if (!mat->rmap->N && !mat->cmap->N) PetscFunctionReturn(0);
2631   if (!mat->ops->solve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2632   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2633 
2634   ierr = PetscLogEventBegin(MAT_Solve,mat,b,x,0);CHKERRQ(ierr);
2635   ierr = (*mat->ops->solve)(mat,b,x);CHKERRQ(ierr);
2636   ierr = PetscLogEventEnd(MAT_Solve,mat,b,x,0);CHKERRQ(ierr);
2637   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2638   PetscFunctionReturn(0);
2639 }
2640 
2641 #undef __FUNCT__
2642 #define __FUNCT__ "MatMatSolve_Basic"
2643 PetscErrorCode PETSCMAT_DLLEXPORT MatMatSolve_Basic(Mat A,Mat B,Mat X)
2644 {
2645   PetscErrorCode ierr;
2646   Vec            b,x;
2647   PetscInt       m,N,i;
2648   PetscScalar    *bb,*xx;
2649 
2650   PetscFunctionBegin;
2651   ierr = MatGetArray(B,&bb);CHKERRQ(ierr);
2652   ierr = MatGetArray(X,&xx);CHKERRQ(ierr);
2653   ierr = MatGetLocalSize(B,&m,PETSC_NULL);CHKERRQ(ierr);  /* number local rows */
2654   ierr = MatGetSize(B,PETSC_NULL,&N);CHKERRQ(ierr);       /* total columns in dense matrix */
2655   ierr = MatGetVecs(B,&x,&b);CHKERRQ(ierr);
2656   for (i=0; i<N; i++) {
2657     ierr = VecPlaceArray(b,bb + i*m);CHKERRQ(ierr);
2658     ierr = VecPlaceArray(x,xx + i*m);CHKERRQ(ierr);
2659     ierr = MatSolve(A,b,x);CHKERRQ(ierr);
2660     ierr = VecResetArray(x);CHKERRQ(ierr);
2661     ierr = VecResetArray(b);CHKERRQ(ierr);
2662   }
2663   ierr = VecDestroy(b);CHKERRQ(ierr);
2664   ierr = VecDestroy(x);CHKERRQ(ierr);
2665   ierr = MatRestoreArray(B,&bb);CHKERRQ(ierr);
2666   ierr = MatRestoreArray(X,&xx);CHKERRQ(ierr);
2667   PetscFunctionReturn(0);
2668 }
2669 
2670 #undef __FUNCT__
2671 #define __FUNCT__ "MatMatSolve"
2672 /*@
2673    MatMatSolve - Solves A X = B, given a factored matrix.
2674 
2675    Collective on Mat
2676 
2677    Input Parameters:
2678 +  mat - the factored matrix
2679 -  B - the right-hand-side matrix  (dense matrix)
2680 
2681    Output Parameter:
2682 .  X - the result matrix (dense matrix)
2683 
2684    Notes:
2685    The matrices b and x cannot be the same.  I.e., one cannot
2686    call MatMatSolve(A,x,x).
2687 
2688    Notes:
2689    Most users should usually employ the simplified KSP interface for linear solvers
2690    instead of working directly with matrix algebra routines such as this.
2691    See, e.g., KSPCreate(). However KSP can only solve for one vector (column of X)
2692    at a time.
2693 
2694    Level: developer
2695 
2696    Concepts: matrices^triangular solves
2697 
2698 .seealso: MatMatSolveAdd(), MatMatSolveTranspose(), MatMatSolveTransposeAdd(), MatLUFactor(), MatCholeskyFactor()
2699 @*/
2700 PetscErrorCode PETSCMAT_DLLEXPORT MatMatSolve(Mat A,Mat B,Mat X)
2701 {
2702   PetscErrorCode ierr;
2703 
2704   PetscFunctionBegin;
2705   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
2706   PetscValidType(A,1);
2707   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
2708   PetscValidHeaderSpecific(X,MAT_COOKIE,3);
2709   PetscCheckSameComm(A,1,B,2);
2710   PetscCheckSameComm(A,1,X,3);
2711   if (X == B) SETERRQ(PETSC_ERR_ARG_IDN,"X and B must be different matrices");
2712   if (!A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2713   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);
2714   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);
2715   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);
2716   if (!A->rmap->N && !A->cmap->N) PetscFunctionReturn(0);
2717   ierr = MatPreallocated(A);CHKERRQ(ierr);
2718 
2719   ierr = PetscLogEventBegin(MAT_MatSolve,A,B,X,0);CHKERRQ(ierr);
2720   if (!A->ops->matsolve) {
2721     ierr = PetscInfo1(A,"Mat type %s using basic MatMatSolve",((PetscObject)A)->type_name);CHKERRQ(ierr);
2722     ierr = MatMatSolve_Basic(A,B,X);CHKERRQ(ierr);
2723   } else {
2724     ierr = (*A->ops->matsolve)(A,B,X);CHKERRQ(ierr);
2725   }
2726   ierr = PetscLogEventEnd(MAT_MatSolve,A,B,X,0);CHKERRQ(ierr);
2727   ierr = PetscObjectStateIncrease((PetscObject)X);CHKERRQ(ierr);
2728   PetscFunctionReturn(0);
2729 }
2730 
2731 
2732 #undef __FUNCT__
2733 #define __FUNCT__ "MatForwardSolve"
2734 /* @
2735    MatForwardSolve - Solves L x = b, given a factored matrix, A = LU, or
2736                             U^T*D^(1/2) x = b, given a factored symmetric matrix, A = U^T*D*U,
2737 
2738    Collective on Mat and Vec
2739 
2740    Input Parameters:
2741 +  mat - the factored matrix
2742 -  b - the right-hand-side vector
2743 
2744    Output Parameter:
2745 .  x - the result vector
2746 
2747    Notes:
2748    MatSolve() should be used for most applications, as it performs
2749    a forward solve followed by a backward solve.
2750 
2751    The vectors b and x cannot be the same,  i.e., one cannot
2752    call MatForwardSolve(A,x,x).
2753 
2754    For matrix in seqsbaij format with block size larger than 1,
2755    the diagonal blocks are not implemented as D = D^(1/2) * D^(1/2) yet.
2756    MatForwardSolve() solves U^T*D y = b, and
2757    MatBackwardSolve() solves U x = y.
2758    Thus they do not provide a symmetric preconditioner.
2759 
2760    Most users should employ the simplified KSP interface for linear solvers
2761    instead of working directly with matrix algebra routines such as this.
2762    See, e.g., KSPCreate().
2763 
2764    Level: developer
2765 
2766    Concepts: matrices^forward solves
2767 
2768 .seealso: MatSolve(), MatBackwardSolve()
2769 @ */
2770 PetscErrorCode PETSCMAT_DLLEXPORT MatForwardSolve(Mat mat,Vec b,Vec x)
2771 {
2772   PetscErrorCode ierr;
2773 
2774   PetscFunctionBegin;
2775   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2776   PetscValidType(mat,1);
2777   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2778   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2779   PetscCheckSameComm(mat,1,b,2);
2780   PetscCheckSameComm(mat,1,x,3);
2781   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2782   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2783   if (!mat->ops->forwardsolve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2784   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);
2785   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);
2786   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);
2787   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2788   ierr = PetscLogEventBegin(MAT_ForwardSolve,mat,b,x,0);CHKERRQ(ierr);
2789   ierr = (*mat->ops->forwardsolve)(mat,b,x);CHKERRQ(ierr);
2790   ierr = PetscLogEventEnd(MAT_ForwardSolve,mat,b,x,0);CHKERRQ(ierr);
2791   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2792   PetscFunctionReturn(0);
2793 }
2794 
2795 #undef __FUNCT__
2796 #define __FUNCT__ "MatBackwardSolve"
2797 /* @
2798    MatBackwardSolve - Solves U x = b, given a factored matrix, A = LU.
2799                              D^(1/2) U x = b, given a factored symmetric matrix, A = U^T*D*U,
2800 
2801    Collective on Mat and Vec
2802 
2803    Input Parameters:
2804 +  mat - the factored matrix
2805 -  b - the right-hand-side vector
2806 
2807    Output Parameter:
2808 .  x - the result vector
2809 
2810    Notes:
2811    MatSolve() should be used for most applications, as it performs
2812    a forward solve followed by a backward solve.
2813 
2814    The vectors b and x cannot be the same.  I.e., one cannot
2815    call MatBackwardSolve(A,x,x).
2816 
2817    For matrix in seqsbaij format with block size larger than 1,
2818    the diagonal blocks are not implemented as D = D^(1/2) * D^(1/2) yet.
2819    MatForwardSolve() solves U^T*D y = b, and
2820    MatBackwardSolve() solves U x = y.
2821    Thus they do not provide a symmetric preconditioner.
2822 
2823    Most users should employ the simplified KSP interface for linear solvers
2824    instead of working directly with matrix algebra routines such as this.
2825    See, e.g., KSPCreate().
2826 
2827    Level: developer
2828 
2829    Concepts: matrices^backward solves
2830 
2831 .seealso: MatSolve(), MatForwardSolve()
2832 @ */
2833 PetscErrorCode PETSCMAT_DLLEXPORT MatBackwardSolve(Mat mat,Vec b,Vec x)
2834 {
2835   PetscErrorCode ierr;
2836 
2837   PetscFunctionBegin;
2838   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2839   PetscValidType(mat,1);
2840   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2841   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2842   PetscCheckSameComm(mat,1,b,2);
2843   PetscCheckSameComm(mat,1,x,3);
2844   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2845   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2846   if (!mat->ops->backwardsolve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2847   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);
2848   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);
2849   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);
2850   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2851 
2852   ierr = PetscLogEventBegin(MAT_BackwardSolve,mat,b,x,0);CHKERRQ(ierr);
2853   ierr = (*mat->ops->backwardsolve)(mat,b,x);CHKERRQ(ierr);
2854   ierr = PetscLogEventEnd(MAT_BackwardSolve,mat,b,x,0);CHKERRQ(ierr);
2855   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2856   PetscFunctionReturn(0);
2857 }
2858 
2859 #undef __FUNCT__
2860 #define __FUNCT__ "MatSolveAdd"
2861 /*@
2862    MatSolveAdd - Computes x = y + inv(A)*b, given a factored matrix.
2863 
2864    Collective on Mat and Vec
2865 
2866    Input Parameters:
2867 +  mat - the factored matrix
2868 .  b - the right-hand-side vector
2869 -  y - the vector to be added to
2870 
2871    Output Parameter:
2872 .  x - the result vector
2873 
2874    Notes:
2875    The vectors b and x cannot be the same.  I.e., one cannot
2876    call MatSolveAdd(A,x,y,x).
2877 
2878    Most users should employ the simplified KSP interface for linear solvers
2879    instead of working directly with matrix algebra routines such as this.
2880    See, e.g., KSPCreate().
2881 
2882    Level: developer
2883 
2884    Concepts: matrices^triangular solves
2885 
2886 .seealso: MatSolve(), MatSolveTranspose(), MatSolveTransposeAdd()
2887 @*/
2888 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveAdd(Mat mat,Vec b,Vec y,Vec x)
2889 {
2890   PetscScalar    one = 1.0;
2891   Vec            tmp;
2892   PetscErrorCode ierr;
2893 
2894   PetscFunctionBegin;
2895   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2896   PetscValidType(mat,1);
2897   PetscValidHeaderSpecific(y,VEC_COOKIE,2);
2898   PetscValidHeaderSpecific(b,VEC_COOKIE,3);
2899   PetscValidHeaderSpecific(x,VEC_COOKIE,4);
2900   PetscCheckSameComm(mat,1,b,2);
2901   PetscCheckSameComm(mat,1,y,2);
2902   PetscCheckSameComm(mat,1,x,3);
2903   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2904   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2905   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);
2906   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);
2907   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);
2908   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);
2909   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);
2910   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2911 
2912   ierr = PetscLogEventBegin(MAT_SolveAdd,mat,b,x,y);CHKERRQ(ierr);
2913   if (mat->ops->solveadd)  {
2914     ierr = (*mat->ops->solveadd)(mat,b,y,x);CHKERRQ(ierr);
2915   } else {
2916     /* do the solve then the add manually */
2917     if (x != y) {
2918       ierr = MatSolve(mat,b,x);CHKERRQ(ierr);
2919       ierr = VecAXPY(x,one,y);CHKERRQ(ierr);
2920     } else {
2921       ierr = VecDuplicate(x,&tmp);CHKERRQ(ierr);
2922       ierr = PetscLogObjectParent(mat,tmp);CHKERRQ(ierr);
2923       ierr = VecCopy(x,tmp);CHKERRQ(ierr);
2924       ierr = MatSolve(mat,b,x);CHKERRQ(ierr);
2925       ierr = VecAXPY(x,one,tmp);CHKERRQ(ierr);
2926       ierr = VecDestroy(tmp);CHKERRQ(ierr);
2927     }
2928   }
2929   ierr = PetscLogEventEnd(MAT_SolveAdd,mat,b,x,y);CHKERRQ(ierr);
2930   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2931   PetscFunctionReturn(0);
2932 }
2933 
2934 #undef __FUNCT__
2935 #define __FUNCT__ "MatSolveTranspose"
2936 /*@
2937    MatSolveTranspose - Solves A' x = b, given a factored matrix.
2938 
2939    Collective on Mat and Vec
2940 
2941    Input Parameters:
2942 +  mat - the factored matrix
2943 -  b - the right-hand-side vector
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 MatSolveTranspose(A,x,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(), MatSolveAdd(), MatSolveTransposeAdd()
2961 @*/
2962 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveTranspose(Mat mat,Vec b,Vec x)
2963 {
2964   PetscErrorCode ierr;
2965 
2966   PetscFunctionBegin;
2967   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2968   PetscValidType(mat,1);
2969   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2970   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2971   PetscCheckSameComm(mat,1,b,2);
2972   PetscCheckSameComm(mat,1,x,3);
2973   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2974   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2975   if (!mat->ops->solvetranspose) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s",((PetscObject)mat)->type_name);
2976   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);
2977   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);
2978   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2979   ierr = PetscLogEventBegin(MAT_SolveTranspose,mat,b,x,0);CHKERRQ(ierr);
2980   ierr = (*mat->ops->solvetranspose)(mat,b,x);CHKERRQ(ierr);
2981   ierr = PetscLogEventEnd(MAT_SolveTranspose,mat,b,x,0);CHKERRQ(ierr);
2982   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2983   PetscFunctionReturn(0);
2984 }
2985 
2986 #undef __FUNCT__
2987 #define __FUNCT__ "MatSolveTransposeAdd"
2988 /*@
2989    MatSolveTransposeAdd - Computes x = y + inv(Transpose(A)) b, given a
2990                       factored matrix.
2991 
2992    Collective on Mat and Vec
2993 
2994    Input Parameters:
2995 +  mat - the factored matrix
2996 .  b - the right-hand-side vector
2997 -  y - the vector to be added to
2998 
2999    Output Parameter:
3000 .  x - the result vector
3001 
3002    Notes:
3003    The vectors b and x cannot be the same.  I.e., one cannot
3004    call MatSolveTransposeAdd(A,x,y,x).
3005 
3006    Most users should employ the simplified KSP interface for linear solvers
3007    instead of working directly with matrix algebra routines such as this.
3008    See, e.g., KSPCreate().
3009 
3010    Level: developer
3011 
3012    Concepts: matrices^triangular solves
3013 
3014 .seealso: MatSolve(), MatSolveAdd(), MatSolveTranspose()
3015 @*/
3016 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveTransposeAdd(Mat mat,Vec b,Vec y,Vec x)
3017 {
3018   PetscScalar    one = 1.0;
3019   PetscErrorCode ierr;
3020   Vec            tmp;
3021 
3022   PetscFunctionBegin;
3023   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3024   PetscValidType(mat,1);
3025   PetscValidHeaderSpecific(y,VEC_COOKIE,2);
3026   PetscValidHeaderSpecific(b,VEC_COOKIE,3);
3027   PetscValidHeaderSpecific(x,VEC_COOKIE,4);
3028   PetscCheckSameComm(mat,1,b,2);
3029   PetscCheckSameComm(mat,1,y,3);
3030   PetscCheckSameComm(mat,1,x,4);
3031   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3032   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3033   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);
3034   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);
3035   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);
3036   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);
3037   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3038 
3039   ierr = PetscLogEventBegin(MAT_SolveTransposeAdd,mat,b,x,y);CHKERRQ(ierr);
3040   if (mat->ops->solvetransposeadd) {
3041     ierr = (*mat->ops->solvetransposeadd)(mat,b,y,x);CHKERRQ(ierr);
3042   } else {
3043     /* do the solve then the add manually */
3044     if (x != y) {
3045       ierr = MatSolveTranspose(mat,b,x);CHKERRQ(ierr);
3046       ierr = VecAXPY(x,one,y);CHKERRQ(ierr);
3047     } else {
3048       ierr = VecDuplicate(x,&tmp);CHKERRQ(ierr);
3049       ierr = PetscLogObjectParent(mat,tmp);CHKERRQ(ierr);
3050       ierr = VecCopy(x,tmp);CHKERRQ(ierr);
3051       ierr = MatSolveTranspose(mat,b,x);CHKERRQ(ierr);
3052       ierr = VecAXPY(x,one,tmp);CHKERRQ(ierr);
3053       ierr = VecDestroy(tmp);CHKERRQ(ierr);
3054     }
3055   }
3056   ierr = PetscLogEventEnd(MAT_SolveTransposeAdd,mat,b,x,y);CHKERRQ(ierr);
3057   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3058   PetscFunctionReturn(0);
3059 }
3060 /* ----------------------------------------------------------------*/
3061 
3062 #undef __FUNCT__
3063 #define __FUNCT__ "MatRelax"
3064 /*@
3065    MatRelax - Computes relaxation (SOR, Gauss-Seidel) sweeps.
3066 
3067    Collective on Mat and Vec
3068 
3069    Input Parameters:
3070 +  mat - the matrix
3071 .  b - the right hand side
3072 .  omega - the relaxation factor
3073 .  flag - flag indicating the type of SOR (see below)
3074 .  shift -  diagonal shift
3075 .  its - the number of iterations
3076 -  lits - the number of local iterations
3077 
3078    Output Parameters:
3079 .  x - the solution (can contain an initial guess)
3080 
3081    SOR Flags:
3082 .     SOR_FORWARD_SWEEP - forward SOR
3083 .     SOR_BACKWARD_SWEEP - backward SOR
3084 .     SOR_SYMMETRIC_SWEEP - SSOR (symmetric SOR)
3085 .     SOR_LOCAL_FORWARD_SWEEP - local forward SOR
3086 .     SOR_LOCAL_BACKWARD_SWEEP - local forward SOR
3087 .     SOR_LOCAL_SYMMETRIC_SWEEP - local SSOR
3088 .     SOR_APPLY_UPPER, SOR_APPLY_LOWER - applies
3089          upper/lower triangular part of matrix to
3090          vector (with omega)
3091 .     SOR_ZERO_INITIAL_GUESS - zero initial guess
3092 
3093    Notes:
3094    SOR_LOCAL_FORWARD_SWEEP, SOR_LOCAL_BACKWARD_SWEEP, and
3095    SOR_LOCAL_SYMMETRIC_SWEEP perform separate independent smoothings
3096    on each processor.
3097 
3098    Application programmers will not generally use MatRelax() directly,
3099    but instead will employ the KSP/PC interface.
3100 
3101    Notes for Advanced Users:
3102    The flags are implemented as bitwise inclusive or operations.
3103    For example, use (SOR_ZERO_INITIAL_GUESS | SOR_SYMMETRIC_SWEEP)
3104    to specify a zero initial guess for SSOR.
3105 
3106    Most users should employ the simplified KSP interface for linear solvers
3107    instead of working directly with matrix algebra routines such as this.
3108    See, e.g., KSPCreate().
3109 
3110    See also, MatPBRelax(). This routine will automatically call the point block
3111    version if the point version is not available.
3112 
3113    Level: developer
3114 
3115    Concepts: matrices^relaxation
3116    Concepts: matrices^SOR
3117    Concepts: matrices^Gauss-Seidel
3118 
3119 @*/
3120 PetscErrorCode PETSCMAT_DLLEXPORT MatRelax(Mat mat,Vec b,PetscReal omega,MatSORType flag,PetscReal shift,PetscInt its,PetscInt lits,Vec x)
3121 {
3122   PetscErrorCode ierr;
3123 
3124   PetscFunctionBegin;
3125   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3126   PetscValidType(mat,1);
3127   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
3128   PetscValidHeaderSpecific(x,VEC_COOKIE,8);
3129   PetscCheckSameComm(mat,1,b,2);
3130   PetscCheckSameComm(mat,1,x,8);
3131   if (!mat->ops->relax && !mat->ops->pbrelax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3132   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3133   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3134   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);
3135   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);
3136   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);
3137   if (its <= 0) SETERRQ1(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D positive",its);
3138   if (lits <= 0) SETERRQ1(PETSC_ERR_ARG_WRONG,"Relaxation requires local its %D positive",lits);
3139 
3140   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3141   ierr = PetscLogEventBegin(MAT_Relax,mat,b,x,0);CHKERRQ(ierr);
3142   if (mat->ops->relax) {
3143     ierr =(*mat->ops->relax)(mat,b,omega,flag,shift,its,lits,x);CHKERRQ(ierr);
3144   } else {
3145     ierr =(*mat->ops->pbrelax)(mat,b,omega,flag,shift,its,lits,x);CHKERRQ(ierr);
3146   }
3147   ierr = PetscLogEventEnd(MAT_Relax,mat,b,x,0);CHKERRQ(ierr);
3148   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3149   PetscFunctionReturn(0);
3150 }
3151 
3152 #undef __FUNCT__
3153 #define __FUNCT__ "MatPBRelax"
3154 /*@
3155    MatPBRelax - Computes relaxation (SOR, Gauss-Seidel) sweeps.
3156 
3157    Collective on Mat and Vec
3158 
3159    See MatRelax() for usage
3160 
3161    For multi-component PDEs where the Jacobian is stored in a point block format
3162    (with the PETSc BAIJ matrix formats) the relaxation is done one point block at
3163    a time. That is, the small (for example, 4 by 4) blocks along the diagonal are solved
3164    simultaneously (that is a 4 by 4 linear solve is done) to update all the values at a point.
3165 
3166    Level: developer
3167 
3168 @*/
3169 PetscErrorCode PETSCMAT_DLLEXPORT MatPBRelax(Mat mat,Vec b,PetscReal omega,MatSORType flag,PetscReal shift,PetscInt its,PetscInt lits,Vec x)
3170 {
3171   PetscErrorCode ierr;
3172 
3173   PetscFunctionBegin;
3174   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3175   PetscValidType(mat,1);
3176   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
3177   PetscValidHeaderSpecific(x,VEC_COOKIE,8);
3178   PetscCheckSameComm(mat,1,b,2);
3179   PetscCheckSameComm(mat,1,x,8);
3180   if (!mat->ops->pbrelax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3181   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3182   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3183   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);
3184   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);
3185   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);
3186   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3187 
3188   ierr = PetscLogEventBegin(MAT_Relax,mat,b,x,0);CHKERRQ(ierr);
3189   ierr =(*mat->ops->pbrelax)(mat,b,omega,flag,shift,its,lits,x);CHKERRQ(ierr);
3190   ierr = PetscLogEventEnd(MAT_Relax,mat,b,x,0);CHKERRQ(ierr);
3191   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3192   PetscFunctionReturn(0);
3193 }
3194 
3195 #undef __FUNCT__
3196 #define __FUNCT__ "MatCopy_Basic"
3197 /*
3198       Default matrix copy routine.
3199 */
3200 PetscErrorCode MatCopy_Basic(Mat A,Mat B,MatStructure str)
3201 {
3202   PetscErrorCode    ierr;
3203   PetscInt          i,rstart,rend,nz;
3204   const PetscInt    *cwork;
3205   const PetscScalar *vwork;
3206 
3207   PetscFunctionBegin;
3208   if (B->assembled) {
3209     ierr = MatZeroEntries(B);CHKERRQ(ierr);
3210   }
3211   ierr = MatGetOwnershipRange(A,&rstart,&rend);CHKERRQ(ierr);
3212   for (i=rstart; i<rend; i++) {
3213     ierr = MatGetRow(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
3214     ierr = MatSetValues(B,1,&i,nz,cwork,vwork,INSERT_VALUES);CHKERRQ(ierr);
3215     ierr = MatRestoreRow(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
3216   }
3217   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3218   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3219   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3220   PetscFunctionReturn(0);
3221 }
3222 
3223 #undef __FUNCT__
3224 #define __FUNCT__ "MatCopy"
3225 /*@
3226    MatCopy - Copys a matrix to another matrix.
3227 
3228    Collective on Mat
3229 
3230    Input Parameters:
3231 +  A - the matrix
3232 -  str - SAME_NONZERO_PATTERN or DIFFERENT_NONZERO_PATTERN
3233 
3234    Output Parameter:
3235 .  B - where the copy is put
3236 
3237    Notes:
3238    If you use SAME_NONZERO_PATTERN then the two matrices had better have the
3239    same nonzero pattern or the routine will crash.
3240 
3241    MatCopy() copies the matrix entries of a matrix to another existing
3242    matrix (after first zeroing the second matrix).  A related routine is
3243    MatConvert(), which first creates a new matrix and then copies the data.
3244 
3245    Level: intermediate
3246 
3247    Concepts: matrices^copying
3248 
3249 .seealso: MatConvert(), MatDuplicate()
3250 
3251 @*/
3252 PetscErrorCode PETSCMAT_DLLEXPORT MatCopy(Mat A,Mat B,MatStructure str)
3253 {
3254   PetscErrorCode ierr;
3255   PetscInt       i;
3256 
3257   PetscFunctionBegin;
3258   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
3259   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
3260   PetscValidType(A,1);
3261   PetscValidType(B,2);
3262   PetscCheckSameComm(A,1,B,2);
3263   ierr = MatPreallocated(B);CHKERRQ(ierr);
3264   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3265   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3266   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);
3267   ierr = MatPreallocated(A);CHKERRQ(ierr);
3268 
3269   ierr = PetscLogEventBegin(MAT_Copy,A,B,0,0);CHKERRQ(ierr);
3270   if (A->ops->copy) {
3271     ierr = (*A->ops->copy)(A,B,str);CHKERRQ(ierr);
3272   } else { /* generic conversion */
3273     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
3274   }
3275   if (A->mapping) {
3276     if (B->mapping) {ierr = ISLocalToGlobalMappingDestroy(B->mapping);CHKERRQ(ierr);B->mapping = 0;}
3277     ierr = MatSetLocalToGlobalMapping(B,A->mapping);CHKERRQ(ierr);
3278   }
3279   if (A->bmapping) {
3280     if (B->bmapping) {ierr = ISLocalToGlobalMappingDestroy(B->bmapping);CHKERRQ(ierr);B->bmapping = 0;}
3281     ierr = MatSetLocalToGlobalMappingBlock(B,A->mapping);CHKERRQ(ierr);
3282   }
3283 
3284   B->stencil.dim = A->stencil.dim;
3285   B->stencil.noc = A->stencil.noc;
3286   for (i=0; i<=A->stencil.dim; i++) {
3287     B->stencil.dims[i]   = A->stencil.dims[i];
3288     B->stencil.starts[i] = A->stencil.starts[i];
3289   }
3290 
3291   ierr = PetscLogEventEnd(MAT_Copy,A,B,0,0);CHKERRQ(ierr);
3292   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3293   PetscFunctionReturn(0);
3294 }
3295 
3296 #undef __FUNCT__
3297 #define __FUNCT__ "MatConvert"
3298 /*@C
3299    MatConvert - Converts a matrix to another matrix, either of the same
3300    or different type.
3301 
3302    Collective on Mat
3303 
3304    Input Parameters:
3305 +  mat - the matrix
3306 .  newtype - new matrix type.  Use MATSAME to create a new matrix of the
3307    same type as the original matrix.
3308 -  reuse - denotes if the destination matrix is to be created or reused.  Currently
3309    MAT_REUSE_MATRIX is only supported for inplace conversion, otherwise use
3310    MAT_INITIAL_MATRIX.
3311 
3312    Output Parameter:
3313 .  M - pointer to place new matrix
3314 
3315    Notes:
3316    MatConvert() first creates a new matrix and then copies the data from
3317    the first matrix.  A related routine is MatCopy(), which copies the matrix
3318    entries of one matrix to another already existing matrix context.
3319 
3320    Cannot be used to convert a sequential matrix to parallel or parallel to sequential,
3321    the MPI communicator of the generated matrix is always the same as the communicator
3322    of the input matrix.
3323 
3324    Level: intermediate
3325 
3326    Concepts: matrices^converting between storage formats
3327 
3328 .seealso: MatCopy(), MatDuplicate()
3329 @*/
3330 PetscErrorCode PETSCMAT_DLLEXPORT MatConvert(Mat mat, const MatType newtype,MatReuse reuse,Mat *M)
3331 {
3332   PetscErrorCode         ierr;
3333   PetscTruth             sametype,issame,flg;
3334   char                   convname[256],mtype[256];
3335   Mat                    B;
3336 
3337   PetscFunctionBegin;
3338   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3339   PetscValidType(mat,1);
3340   PetscValidPointer(M,3);
3341   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3342   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3343   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3344 
3345   ierr = PetscOptionsGetString(((PetscObject)mat)->prefix,"-matconvert_type",mtype,256,&flg);CHKERRQ(ierr);
3346   if (flg) {
3347     newtype = mtype;
3348   }
3349   ierr = PetscTypeCompare((PetscObject)mat,newtype,&sametype);CHKERRQ(ierr);
3350   ierr = PetscStrcmp(newtype,"same",&issame);CHKERRQ(ierr);
3351   if ((reuse == MAT_REUSE_MATRIX) && (mat != *M)) {
3352     SETERRQ(PETSC_ERR_SUP,"MAT_REUSE_MATRIX only supported for in-place conversion currently");
3353   }
3354 
3355   if ((reuse == MAT_REUSE_MATRIX) && (issame || sametype)) PetscFunctionReturn(0);
3356 
3357   if ((sametype || issame) && (reuse==MAT_INITIAL_MATRIX) && mat->ops->duplicate) {
3358     ierr = (*mat->ops->duplicate)(mat,MAT_COPY_VALUES,M);CHKERRQ(ierr);
3359   } else {
3360     PetscErrorCode (*conv)(Mat, const MatType,MatReuse,Mat*)=PETSC_NULL;
3361     const char     *prefix[3] = {"seq","mpi",""};
3362     PetscInt       i;
3363     /*
3364        Order of precedence:
3365        1) See if a specialized converter is known to the current matrix.
3366        2) See if a specialized converter is known to the desired matrix class.
3367        3) See if a good general converter is registered for the desired class
3368           (as of 6/27/03 only MATMPIADJ falls into this category).
3369        4) See if a good general converter is known for the current matrix.
3370        5) Use a really basic converter.
3371     */
3372 
3373     /* 1) See if a specialized converter is known to the current matrix and the desired class */
3374     for (i=0; i<3; i++) {
3375       ierr = PetscStrcpy(convname,"MatConvert_");CHKERRQ(ierr);
3376       ierr = PetscStrcat(convname,((PetscObject)mat)->type_name);CHKERRQ(ierr);
3377       ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
3378       ierr = PetscStrcat(convname,prefix[i]);CHKERRQ(ierr);
3379       ierr = PetscStrcat(convname,newtype);CHKERRQ(ierr);
3380       ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3381       ierr = PetscObjectQueryFunction((PetscObject)mat,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3382       if (conv) goto foundconv;
3383     }
3384 
3385     /* 2)  See if a specialized converter is known to the desired matrix class. */
3386     ierr = MatCreate(((PetscObject)mat)->comm,&B);CHKERRQ(ierr);
3387     ierr = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->N,mat->cmap->N);CHKERRQ(ierr);
3388     ierr = MatSetType(B,newtype);CHKERRQ(ierr);
3389     for (i=0; i<3; i++) {
3390       ierr = PetscStrcpy(convname,"MatConvert_");CHKERRQ(ierr);
3391       ierr = PetscStrcat(convname,((PetscObject)mat)->type_name);CHKERRQ(ierr);
3392       ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
3393       ierr = PetscStrcat(convname,prefix[i]);CHKERRQ(ierr);
3394       ierr = PetscStrcat(convname,newtype);CHKERRQ(ierr);
3395       ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3396       ierr = PetscObjectQueryFunction((PetscObject)B,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3397       if (conv) {
3398         ierr = MatDestroy(B);CHKERRQ(ierr);
3399         goto foundconv;
3400       }
3401     }
3402 
3403     /* 3) See if a good general converter is registered for the desired class */
3404     conv = B->ops->convertfrom;
3405     ierr = MatDestroy(B);CHKERRQ(ierr);
3406     if (conv) goto foundconv;
3407 
3408     /* 4) See if a good general converter is known for the current matrix */
3409     if (mat->ops->convert) {
3410       conv = mat->ops->convert;
3411     }
3412     if (conv) goto foundconv;
3413 
3414     /* 5) Use a really basic converter. */
3415     conv = MatConvert_Basic;
3416 
3417     foundconv:
3418     ierr = PetscLogEventBegin(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3419     ierr = (*conv)(mat,newtype,reuse,M);CHKERRQ(ierr);
3420     ierr = PetscLogEventEnd(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3421   }
3422   ierr = PetscObjectStateIncrease((PetscObject)*M);CHKERRQ(ierr);
3423   PetscFunctionReturn(0);
3424 }
3425 
3426 #undef __FUNCT__
3427 #define __FUNCT__ "MatFactorGetSolverPackage"
3428 /*@C
3429    MatFactorGetSolverPackage - Returns name of the package providing the factorization routines
3430 
3431    Not Collective
3432 
3433    Input Parameter:
3434 .  mat - the matrix, must be a factored matrix
3435 
3436    Output Parameter:
3437 .   type - the string name of the package (do not free this string)
3438 
3439    Notes:
3440       In Fortran you pass in a empty string and the package name will be copied into it.
3441     (Make sure the string is long enough)
3442 
3443    Level: intermediate
3444 
3445 .seealso: MatCopy(), MatDuplicate(), MatGetFactorAvailable(), MatGetFactor()
3446 @*/
3447 PetscErrorCode PETSCMAT_DLLEXPORT MatFactorGetSolverPackage(Mat mat, const MatSolverPackage *type)
3448 {
3449   PetscErrorCode         ierr;
3450   PetscErrorCode         (*conv)(Mat,const MatSolverPackage*);
3451 
3452   PetscFunctionBegin;
3453   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3454   PetscValidType(mat,1);
3455   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
3456   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatFactorGetSolverPackage_C",(void (**)(void))&conv);CHKERRQ(ierr);
3457   if (!conv) {
3458     *type = MAT_SOLVER_PETSC;
3459   } else {
3460     ierr = (*conv)(mat,type);CHKERRQ(ierr);
3461   }
3462   PetscFunctionReturn(0);
3463 }
3464 
3465 #undef __FUNCT__
3466 #define __FUNCT__ "MatGetFactor"
3467 /*@C
3468    MatGetFactor - Returns a matrix suitable to calls to MatXXFactorSymbolic()
3469 
3470    Collective on Mat
3471 
3472    Input Parameters:
3473 +  mat - the matrix
3474 .  type - name of solver type, for example, spooles, superlu, plapack, petsc (to use PETSc's default)
3475 -  ftype - factor type, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ICC, MAT_FACTOR_ILU,
3476 
3477    Output Parameters:
3478 .  f - the factor matrix used with MatXXFactorSymbolic() calls
3479 
3480    Notes:
3481       Some PETSc matrix formats have alternative solvers available that are contained in alternative packages
3482      such as pastix, superlu, mumps, spooles etc.
3483 
3484       PETSc must have been config/configure.py to use the external solver, using the option --download-package
3485 
3486    Level: intermediate
3487 
3488 .seealso: MatCopy(), MatDuplicate(), MatGetFactorAvailable()
3489 @*/
3490 PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor(Mat mat, const MatSolverPackage type,MatFactorType ftype,Mat *f)
3491 {
3492   PetscErrorCode         ierr;
3493   char                   convname[256];
3494   PetscErrorCode         (*conv)(Mat,MatFactorType,Mat*);
3495 
3496   PetscFunctionBegin;
3497   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3498   PetscValidType(mat,1);
3499 
3500   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3501   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3502 
3503   ierr = PetscStrcpy(convname,"MatGetFactor_");CHKERRQ(ierr);
3504   ierr = PetscStrcat(convname,((PetscObject)mat)->type_name);CHKERRQ(ierr);
3505   ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
3506   ierr = PetscStrcat(convname,type);CHKERRQ(ierr);
3507   ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3508   ierr = PetscObjectQueryFunction((PetscObject)mat,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3509   if (!conv) {
3510     PetscTruth flag;
3511     ierr = PetscStrcasecmp(MAT_SOLVER_PETSC,type,&flag);CHKERRQ(ierr);
3512     if (flag) {
3513       SETERRQ1(PETSC_ERR_SUP,"Matrix format %s does not have a built-in PETSc direct solver",((PetscObject)mat)->type_name);
3514     } else {
3515       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);
3516     }
3517   }
3518   ierr = (*conv)(mat,ftype,f);CHKERRQ(ierr);
3519   PetscFunctionReturn(0);
3520 }
3521 
3522 #undef __FUNCT__
3523 #define __FUNCT__ "MatGetFactorAvailable"
3524 /*@C
3525    MatGetFactorAvailable - Returns a a flag if matrix supports particular package and factor type
3526 
3527    Collective on Mat
3528 
3529    Input Parameters:
3530 +  mat - the matrix
3531 .  type - name of solver type, for example, spooles, superlu, plapack, petsc (to use PETSc's default)
3532 -  ftype - factor type, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ICC, MAT_FACTOR_ILU,
3533 
3534    Output Parameter:
3535 .    flg - PETSC_TRUE if the factorization is available
3536 
3537    Notes:
3538       Some PETSc matrix formats have alternative solvers available that are contained in alternative packages
3539      such as pastix, superlu, mumps, spooles etc.
3540 
3541       PETSc must have been config/configure.py to use the external solver, using the option --download-package
3542 
3543    Level: intermediate
3544 
3545 .seealso: MatCopy(), MatDuplicate(), MatGetFactor()
3546 @*/
3547 PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactorAvailable(Mat mat, const MatSolverPackage type,MatFactorType ftype,PetscTruth *flg)
3548 {
3549   PetscErrorCode         ierr;
3550   char                   convname[256];
3551   PetscErrorCode         (*conv)(Mat,MatFactorType,PetscTruth*);
3552 
3553   PetscFunctionBegin;
3554   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3555   PetscValidType(mat,1);
3556 
3557   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3558   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3559 
3560   ierr = PetscStrcpy(convname,"MatGetFactorAvailable_");CHKERRQ(ierr);
3561   ierr = PetscStrcat(convname,((PetscObject)mat)->type_name);CHKERRQ(ierr);
3562   ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
3563   ierr = PetscStrcat(convname,type);CHKERRQ(ierr);
3564   ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3565   ierr = PetscObjectQueryFunction((PetscObject)mat,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3566   if (!conv) {
3567     *flg = PETSC_FALSE;
3568   } else {
3569     ierr = (*conv)(mat,ftype,flg);CHKERRQ(ierr);
3570   }
3571   PetscFunctionReturn(0);
3572 }
3573 
3574 
3575 #undef __FUNCT__
3576 #define __FUNCT__ "MatDuplicate"
3577 /*@
3578    MatDuplicate - Duplicates a matrix including the non-zero structure.
3579 
3580    Collective on Mat
3581 
3582    Input Parameters:
3583 +  mat - the matrix
3584 -  op - either MAT_DO_NOT_COPY_VALUES or MAT_COPY_VALUES, cause it to copy nonzero
3585         values as well or not
3586 
3587    Output Parameter:
3588 .  M - pointer to place new matrix
3589 
3590    Level: intermediate
3591 
3592    Concepts: matrices^duplicating
3593 
3594 .seealso: MatCopy(), MatConvert()
3595 @*/
3596 PetscErrorCode PETSCMAT_DLLEXPORT MatDuplicate(Mat mat,MatDuplicateOption op,Mat *M)
3597 {
3598   PetscErrorCode ierr;
3599   Mat            B;
3600   PetscInt       i;
3601 
3602   PetscFunctionBegin;
3603   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3604   PetscValidType(mat,1);
3605   PetscValidPointer(M,3);
3606   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3607   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3608   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3609 
3610   *M  = 0;
3611   if (!mat->ops->duplicate) {
3612     SETERRQ(PETSC_ERR_SUP,"Not written for this matrix type");
3613   }
3614   ierr = PetscLogEventBegin(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3615   ierr = (*mat->ops->duplicate)(mat,op,M);CHKERRQ(ierr);
3616   B = *M;
3617   if (mat->mapping) {
3618     ierr = MatSetLocalToGlobalMapping(B,mat->mapping);CHKERRQ(ierr);
3619   }
3620   if (mat->bmapping) {
3621     ierr = MatSetLocalToGlobalMappingBlock(B,mat->bmapping);CHKERRQ(ierr);
3622   }
3623   ierr = PetscMapCopy(((PetscObject)mat)->comm,mat->rmap,B->rmap);CHKERRQ(ierr);
3624   ierr = PetscMapCopy(((PetscObject)mat)->comm,mat->cmap,B->cmap);CHKERRQ(ierr);
3625 
3626   B->stencil.dim = mat->stencil.dim;
3627   B->stencil.noc = mat->stencil.noc;
3628   for (i=0; i<=mat->stencil.dim; i++) {
3629     B->stencil.dims[i]   = mat->stencil.dims[i];
3630     B->stencil.starts[i] = mat->stencil.starts[i];
3631   }
3632 
3633   ierr = PetscLogEventEnd(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3634   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3635   PetscFunctionReturn(0);
3636 }
3637 
3638 #undef __FUNCT__
3639 #define __FUNCT__ "MatGetDiagonal"
3640 /*@
3641    MatGetDiagonal - Gets the diagonal of a matrix.
3642 
3643    Collective on Mat and Vec
3644 
3645    Input Parameters:
3646 +  mat - the matrix
3647 -  v - the vector for storing the diagonal
3648 
3649    Output Parameter:
3650 .  v - the diagonal of the matrix
3651 
3652    Level: intermediate
3653 
3654    Concepts: matrices^accessing diagonals
3655 
3656 .seealso: MatGetRow(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs()
3657 @*/
3658 PetscErrorCode PETSCMAT_DLLEXPORT MatGetDiagonal(Mat mat,Vec v)
3659 {
3660   PetscErrorCode ierr;
3661 
3662   PetscFunctionBegin;
3663   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3664   PetscValidType(mat,1);
3665   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3666   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3667   if (!mat->ops->getdiagonal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3668   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3669 
3670   ierr = (*mat->ops->getdiagonal)(mat,v);CHKERRQ(ierr);
3671   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3672   PetscFunctionReturn(0);
3673 }
3674 
3675 #undef __FUNCT__
3676 #define __FUNCT__ "MatGetRowMin"
3677 /*@
3678    MatGetRowMin - Gets the minimum value (of the real part) of each
3679         row of the matrix
3680 
3681    Collective on Mat and Vec
3682 
3683    Input Parameters:
3684 .  mat - the matrix
3685 
3686    Output Parameter:
3687 +  v - the vector for storing the maximums
3688 -  idx - the indices of the column found for each row (optional)
3689 
3690    Level: intermediate
3691 
3692    Notes: The result of this call are the same as if one converted the matrix to dense format
3693       and found the minimum value in each row (i.e. the implicit zeros are counted as zeros).
3694 
3695     This code is only implemented for a couple of matrix formats.
3696 
3697    Concepts: matrices^getting row maximums
3698 
3699 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs(),
3700           MatGetRowMax()
3701 @*/
3702 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMin(Mat mat,Vec v,PetscInt idx[])
3703 {
3704   PetscErrorCode ierr;
3705 
3706   PetscFunctionBegin;
3707   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3708   PetscValidType(mat,1);
3709   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3710   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3711   if (!mat->ops->getrowmax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3712   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3713 
3714   ierr = (*mat->ops->getrowmin)(mat,v,idx);CHKERRQ(ierr);
3715   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3716   PetscFunctionReturn(0);
3717 }
3718 
3719 #undef __FUNCT__
3720 #define __FUNCT__ "MatGetRowMinAbs"
3721 /*@
3722    MatGetRowMinAbs - Gets the minimum value (in absolute value) of each
3723         row of the matrix
3724 
3725    Collective on Mat and Vec
3726 
3727    Input Parameters:
3728 .  mat - the matrix
3729 
3730    Output Parameter:
3731 +  v - the vector for storing the minimums
3732 -  idx - the indices of the column found for each row (optional)
3733 
3734    Level: intermediate
3735 
3736    Notes: if a row is completely empty or has only 0.0 values then the idx[] value for that
3737     row is 0 (the first column).
3738 
3739     This code is only implemented for a couple of matrix formats.
3740 
3741    Concepts: matrices^getting row maximums
3742 
3743 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMaxAbs(), MatGetRowMin()
3744 @*/
3745 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMinAbs(Mat mat,Vec v,PetscInt idx[])
3746 {
3747   PetscErrorCode ierr;
3748 
3749   PetscFunctionBegin;
3750   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3751   PetscValidType(mat,1);
3752   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3753   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3754   if (!mat->ops->getrowminabs) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3755   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3756   if (idx) {ierr = PetscMemzero(idx,mat->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);}
3757 
3758   ierr = (*mat->ops->getrowminabs)(mat,v,idx);CHKERRQ(ierr);
3759   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3760   PetscFunctionReturn(0);
3761 }
3762 
3763 #undef __FUNCT__
3764 #define __FUNCT__ "MatGetRowMax"
3765 /*@
3766    MatGetRowMax - Gets the maximum value (of the real part) of each
3767         row of the matrix
3768 
3769    Collective on Mat and Vec
3770 
3771    Input Parameters:
3772 .  mat - the matrix
3773 
3774    Output Parameter:
3775 +  v - the vector for storing the maximums
3776 -  idx - the indices of the column found for each row (optional)
3777 
3778    Level: intermediate
3779 
3780    Notes: The result of this call are the same as if one converted the matrix to dense format
3781       and found the minimum value in each row (i.e. the implicit zeros are counted as zeros).
3782 
3783     This code is only implemented for a couple of matrix formats.
3784 
3785    Concepts: matrices^getting row maximums
3786 
3787 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs(), MatGetRowMin()
3788 @*/
3789 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMax(Mat mat,Vec v,PetscInt idx[])
3790 {
3791   PetscErrorCode ierr;
3792 
3793   PetscFunctionBegin;
3794   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3795   PetscValidType(mat,1);
3796   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3797   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3798   if (!mat->ops->getrowmax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3799   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3800 
3801   ierr = (*mat->ops->getrowmax)(mat,v,idx);CHKERRQ(ierr);
3802   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3803   PetscFunctionReturn(0);
3804 }
3805 
3806 #undef __FUNCT__
3807 #define __FUNCT__ "MatGetRowMaxAbs"
3808 /*@
3809    MatGetRowMaxAbs - Gets the maximum value (in absolute value) of each
3810         row of the matrix
3811 
3812    Collective on Mat and Vec
3813 
3814    Input Parameters:
3815 .  mat - the matrix
3816 
3817    Output Parameter:
3818 +  v - the vector for storing the maximums
3819 -  idx - the indices of the column found for each row (optional)
3820 
3821    Level: intermediate
3822 
3823    Notes: if a row is completely empty or has only 0.0 values then the idx[] value for that
3824     row is 0 (the first column).
3825 
3826     This code is only implemented for a couple of matrix formats.
3827 
3828    Concepts: matrices^getting row maximums
3829 
3830 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMin()
3831 @*/
3832 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMaxAbs(Mat mat,Vec v,PetscInt idx[])
3833 {
3834   PetscErrorCode ierr;
3835 
3836   PetscFunctionBegin;
3837   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3838   PetscValidType(mat,1);
3839   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3840   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3841   if (!mat->ops->getrowmaxabs) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3842   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3843   if (idx) {ierr = PetscMemzero(idx,mat->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);}
3844 
3845   ierr = (*mat->ops->getrowmaxabs)(mat,v,idx);CHKERRQ(ierr);
3846   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3847   PetscFunctionReturn(0);
3848 }
3849 
3850 #undef __FUNCT__
3851 #define __FUNCT__ "MatGetRowSum"
3852 /*@
3853    MatGetRowSum - Gets the sum of each row of the matrix
3854 
3855    Collective on Mat and Vec
3856 
3857    Input Parameters:
3858 .  mat - the matrix
3859 
3860    Output Parameter:
3861 .  v - the vector for storing the maximums
3862 
3863    Level: intermediate
3864 
3865    Notes: This code is slow since it is not currently specialized for different formats
3866 
3867    Concepts: matrices^getting row sums
3868 
3869 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMin()
3870 @*/
3871 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowSum(Mat mat, Vec v)
3872 {
3873   PetscInt       start, end, row;
3874   PetscScalar   *array;
3875   PetscErrorCode ierr;
3876 
3877   PetscFunctionBegin;
3878   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3879   PetscValidType(mat,1);
3880   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3881   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3882   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3883   ierr = MatGetOwnershipRange(mat, &start, &end);CHKERRQ(ierr);
3884   ierr = VecGetArray(v, &array);CHKERRQ(ierr);
3885   for(row = start; row < end; ++row) {
3886     PetscInt           ncols, col;
3887     const PetscInt    *cols;
3888     const PetscScalar *vals;
3889 
3890     array[row - start] = 0.0;
3891     ierr = MatGetRow(mat, row, &ncols, &cols, &vals);CHKERRQ(ierr);
3892     for(col = 0; col < ncols; col++) {
3893       array[row - start] += vals[col];
3894     }
3895     ierr = MatRestoreRow(mat, row, &ncols, &cols, &vals);CHKERRQ(ierr);
3896   }
3897   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
3898   ierr = PetscObjectStateIncrease((PetscObject) v);CHKERRQ(ierr);
3899   PetscFunctionReturn(0);
3900 }
3901 
3902 #undef __FUNCT__
3903 #define __FUNCT__ "MatTranspose"
3904 /*@
3905    MatTranspose - Computes an in-place or out-of-place transpose of a matrix.
3906 
3907    Collective on Mat
3908 
3909    Input Parameter:
3910 +  mat - the matrix to transpose
3911 -  reuse - store the transpose matrix in the provided B
3912 
3913    Output Parameters:
3914 .  B - the transpose
3915 
3916    Notes:
3917      If you  pass in &mat for B the transpose will be done in place
3918 
3919    Level: intermediate
3920 
3921    Concepts: matrices^transposing
3922 
3923 .seealso: MatMultTranspose(), MatMultTransposeAdd(), MatIsTranspose()
3924 @*/
3925 PetscErrorCode PETSCMAT_DLLEXPORT MatTranspose(Mat mat,MatReuse reuse,Mat *B)
3926 {
3927   PetscErrorCode ierr;
3928 
3929   PetscFunctionBegin;
3930   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3931   PetscValidType(mat,1);
3932   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3933   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3934   if (!mat->ops->transpose) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3935   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3936 
3937   ierr = PetscLogEventBegin(MAT_Transpose,mat,0,0,0);CHKERRQ(ierr);
3938   ierr = (*mat->ops->transpose)(mat,reuse,B);CHKERRQ(ierr);
3939   ierr = PetscLogEventEnd(MAT_Transpose,mat,0,0,0);CHKERRQ(ierr);
3940   if (B) {ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);}
3941   PetscFunctionReturn(0);
3942 }
3943 
3944 #undef __FUNCT__
3945 #define __FUNCT__ "MatIsTranspose"
3946 /*@
3947    MatIsTranspose - Test whether a matrix is another one's transpose,
3948         or its own, in which case it tests symmetry.
3949 
3950    Collective on Mat
3951 
3952    Input Parameter:
3953 +  A - the matrix to test
3954 -  B - the matrix to test against, this can equal the first parameter
3955 
3956    Output Parameters:
3957 .  flg - the result
3958 
3959    Notes:
3960    Only available for SeqAIJ/MPIAIJ matrices. The sequential algorithm
3961    has a running time of the order of the number of nonzeros; the parallel
3962    test involves parallel copies of the block-offdiagonal parts of the matrix.
3963 
3964    Level: intermediate
3965 
3966    Concepts: matrices^transposing, matrix^symmetry
3967 
3968 .seealso: MatTranspose(), MatIsSymmetric(), MatIsHermitian()
3969 @*/
3970 PetscErrorCode PETSCMAT_DLLEXPORT MatIsTranspose(Mat A,Mat B,PetscReal tol,PetscTruth *flg)
3971 {
3972   PetscErrorCode ierr,(*f)(Mat,Mat,PetscReal,PetscTruth*),(*g)(Mat,Mat,PetscReal,PetscTruth*);
3973 
3974   PetscFunctionBegin;
3975   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
3976   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
3977   PetscValidPointer(flg,3);
3978   ierr = PetscObjectQueryFunction((PetscObject)A,"MatIsTranspose_C",(void (**)(void))&f);CHKERRQ(ierr);
3979   ierr = PetscObjectQueryFunction((PetscObject)B,"MatIsTranspose_C",(void (**)(void))&g);CHKERRQ(ierr);
3980   if (f && g) {
3981     if (f==g) {
3982       ierr = (*f)(A,B,tol,flg);CHKERRQ(ierr);
3983     } else {
3984       SETERRQ(PETSC_ERR_ARG_NOTSAMETYPE,"Matrices do not have the same comparator for symmetry test");
3985     }
3986   }
3987   PetscFunctionReturn(0);
3988 }
3989 
3990 #undef __FUNCT__
3991 #define __FUNCT__ "MatIsHermitianTranspose"
3992 /*@
3993    MatIsHermitianTranspose - Test whether a matrix is another one's Hermitian transpose,
3994 
3995    Collective on Mat
3996 
3997    Input Parameter:
3998 +  A - the matrix to test
3999 -  B - the matrix to test against, this can equal the first parameter
4000 
4001    Output Parameters:
4002 .  flg - the result
4003 
4004    Notes:
4005    Only available for SeqAIJ/MPIAIJ matrices. The sequential algorithm
4006    has a running time of the order of the number of nonzeros; the parallel
4007    test involves parallel copies of the block-offdiagonal parts of the matrix.
4008 
4009    Level: intermediate
4010 
4011    Concepts: matrices^transposing, matrix^symmetry
4012 
4013 .seealso: MatTranspose(), MatIsSymmetric(), MatIsHermitian(), MatIsTranspose()
4014 @*/
4015 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitianTranspose(Mat A,Mat B,PetscReal tol,PetscTruth *flg)
4016 {
4017   PetscErrorCode ierr,(*f)(Mat,Mat,PetscReal,PetscTruth*),(*g)(Mat,Mat,PetscReal,PetscTruth*);
4018 
4019   PetscFunctionBegin;
4020   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
4021   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
4022   PetscValidPointer(flg,3);
4023   ierr = PetscObjectQueryFunction((PetscObject)A,"MatIsHermitianTranspose_C",(void (**)(void))&f);CHKERRQ(ierr);
4024   ierr = PetscObjectQueryFunction((PetscObject)B,"MatIsHermitianTranspose_C",(void (**)(void))&g);CHKERRQ(ierr);
4025   if (f && g) {
4026     if (f==g) {
4027       ierr = (*f)(A,B,tol,flg);CHKERRQ(ierr);
4028     } else {
4029       SETERRQ(PETSC_ERR_ARG_NOTSAMETYPE,"Matrices do not have the same comparator for Hermitian test");
4030     }
4031   }
4032   PetscFunctionReturn(0);
4033 }
4034 
4035 #undef __FUNCT__
4036 #define __FUNCT__ "MatPermute"
4037 /*@
4038    MatPermute - Creates a new matrix with rows and columns permuted from the
4039    original.
4040 
4041    Collective on Mat
4042 
4043    Input Parameters:
4044 +  mat - the matrix to permute
4045 .  row - row permutation, each processor supplies only the permutation for its rows
4046 -  col - column permutation, each processor needs the entire column permutation, that is
4047          this is the same size as the total number of columns in the matrix. It can often
4048          be obtained with ISAllGather() on the row permutation
4049 
4050    Output Parameters:
4051 .  B - the permuted matrix
4052 
4053    Level: advanced
4054 
4055    Concepts: matrices^permuting
4056 
4057 .seealso: MatGetOrdering(), ISAllGather()
4058 
4059 @*/
4060 PetscErrorCode PETSCMAT_DLLEXPORT MatPermute(Mat mat,IS row,IS col,Mat *B)
4061 {
4062   PetscErrorCode ierr;
4063 
4064   PetscFunctionBegin;
4065   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4066   PetscValidType(mat,1);
4067   PetscValidHeaderSpecific(row,IS_COOKIE,2);
4068   PetscValidHeaderSpecific(col,IS_COOKIE,3);
4069   PetscValidPointer(B,4);
4070   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4071   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4072   if (!mat->ops->permute) SETERRQ1(PETSC_ERR_SUP,"MatPermute not available for Mat type %s",((PetscObject)mat)->type_name);
4073   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4074 
4075   ierr = (*mat->ops->permute)(mat,row,col,B);CHKERRQ(ierr);
4076   ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);
4077   PetscFunctionReturn(0);
4078 }
4079 
4080 #undef __FUNCT__
4081 #define __FUNCT__ "MatPermuteSparsify"
4082 /*@
4083   MatPermuteSparsify - Creates a new matrix with rows and columns permuted from the
4084   original and sparsified to the prescribed tolerance.
4085 
4086   Collective on Mat
4087 
4088   Input Parameters:
4089 + A    - The matrix to permute
4090 . band - The half-bandwidth of the sparsified matrix, or PETSC_DECIDE
4091 . frac - The half-bandwidth as a fraction of the total size, or 0.0
4092 . tol  - The drop tolerance
4093 . rowp - The row permutation
4094 - colp - The column permutation
4095 
4096   Output Parameter:
4097 . B    - The permuted, sparsified matrix
4098 
4099   Level: advanced
4100 
4101   Note:
4102   The default behavior (band = PETSC_DECIDE and frac = 0.0) is to
4103   restrict the half-bandwidth of the resulting matrix to 5% of the
4104   total matrix size.
4105 
4106 .keywords: matrix, permute, sparsify
4107 
4108 .seealso: MatGetOrdering(), MatPermute()
4109 @*/
4110 PetscErrorCode PETSCMAT_DLLEXPORT MatPermuteSparsify(Mat A, PetscInt band, PetscReal frac, PetscReal tol, IS rowp, IS colp, Mat *B)
4111 {
4112   IS                irowp, icolp;
4113   const PetscInt    *rows, *cols;
4114   PetscInt          M, N, locRowStart, locRowEnd;
4115   PetscInt          nz, newNz;
4116   const PetscInt    *cwork;
4117   PetscInt          *cnew;
4118   const PetscScalar *vwork;
4119   PetscScalar       *vnew;
4120   PetscInt          bw, issize;
4121   PetscInt          row, locRow, newRow, col, newCol;
4122   PetscErrorCode    ierr;
4123 
4124   PetscFunctionBegin;
4125   PetscValidHeaderSpecific(A,    MAT_COOKIE,1);
4126   PetscValidHeaderSpecific(rowp, IS_COOKIE,5);
4127   PetscValidHeaderSpecific(colp, IS_COOKIE,6);
4128   PetscValidPointer(B,7);
4129   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE, "Not for unassembled matrix");
4130   if (A->factor)     SETERRQ(PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix");
4131   if (!A->ops->permutesparsify) {
4132     ierr = MatGetSize(A, &M, &N);CHKERRQ(ierr);
4133     ierr = MatGetOwnershipRange(A, &locRowStart, &locRowEnd);CHKERRQ(ierr);
4134     ierr = ISGetSize(rowp, &issize);CHKERRQ(ierr);
4135     if (issize != M) SETERRQ2(PETSC_ERR_ARG_WRONG, "Wrong size %D for row permutation, should be %D", issize, M);
4136     ierr = ISGetSize(colp, &issize);CHKERRQ(ierr);
4137     if (issize != N) SETERRQ2(PETSC_ERR_ARG_WRONG, "Wrong size %D for column permutation, should be %D", issize, N);
4138     ierr = ISInvertPermutation(rowp, 0, &irowp);CHKERRQ(ierr);
4139     ierr = ISGetIndices(irowp, &rows);CHKERRQ(ierr);
4140     ierr = ISInvertPermutation(colp, 0, &icolp);CHKERRQ(ierr);
4141     ierr = ISGetIndices(icolp, &cols);CHKERRQ(ierr);
4142     ierr = PetscMalloc(N * sizeof(PetscInt),         &cnew);CHKERRQ(ierr);
4143     ierr = PetscMalloc(N * sizeof(PetscScalar), &vnew);CHKERRQ(ierr);
4144 
4145     /* Setup bandwidth to include */
4146     if (band == PETSC_DECIDE) {
4147       if (frac <= 0.0)
4148         bw = (PetscInt) (M * 0.05);
4149       else
4150         bw = (PetscInt) (M * frac);
4151     } else {
4152       if (band <= 0) SETERRQ(PETSC_ERR_ARG_WRONG, "Bandwidth must be a positive integer");
4153       bw = band;
4154     }
4155 
4156     /* Put values into new matrix */
4157     ierr = MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, B);CHKERRQ(ierr);
4158     for(row = locRowStart, locRow = 0; row < locRowEnd; row++, locRow++) {
4159       ierr = MatGetRow(A, row, &nz, &cwork, &vwork);CHKERRQ(ierr);
4160       newRow   = rows[locRow]+locRowStart;
4161       for(col = 0, newNz = 0; col < nz; col++) {
4162         newCol = cols[cwork[col]];
4163         if ((newCol >= newRow - bw) && (newCol < newRow + bw) && (PetscAbsScalar(vwork[col]) >= tol)) {
4164           cnew[newNz] = newCol;
4165           vnew[newNz] = vwork[col];
4166           newNz++;
4167         }
4168       }
4169       ierr = MatSetValues(*B, 1, &newRow, newNz, cnew, vnew, INSERT_VALUES);CHKERRQ(ierr);
4170       ierr = MatRestoreRow(A, row, &nz, &cwork, &vwork);CHKERRQ(ierr);
4171     }
4172     ierr = PetscFree(cnew);CHKERRQ(ierr);
4173     ierr = PetscFree(vnew);CHKERRQ(ierr);
4174     ierr = MatAssemblyBegin(*B, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4175     ierr = MatAssemblyEnd(*B, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4176     ierr = ISRestoreIndices(irowp, &rows);CHKERRQ(ierr);
4177     ierr = ISRestoreIndices(icolp, &cols);CHKERRQ(ierr);
4178     ierr = ISDestroy(irowp);CHKERRQ(ierr);
4179     ierr = ISDestroy(icolp);CHKERRQ(ierr);
4180   } else {
4181     ierr = (*A->ops->permutesparsify)(A, band, frac, tol, rowp, colp, B);CHKERRQ(ierr);
4182   }
4183   ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);
4184   PetscFunctionReturn(0);
4185 }
4186 
4187 #undef __FUNCT__
4188 #define __FUNCT__ "MatEqual"
4189 /*@
4190    MatEqual - Compares two matrices.
4191 
4192    Collective on Mat
4193 
4194    Input Parameters:
4195 +  A - the first matrix
4196 -  B - the second matrix
4197 
4198    Output Parameter:
4199 .  flg - PETSC_TRUE if the matrices are equal; PETSC_FALSE otherwise.
4200 
4201    Level: intermediate
4202 
4203    Concepts: matrices^equality between
4204 @*/
4205 PetscErrorCode PETSCMAT_DLLEXPORT MatEqual(Mat A,Mat B,PetscTruth *flg)
4206 {
4207   PetscErrorCode ierr;
4208 
4209   PetscFunctionBegin;
4210   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
4211   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
4212   PetscValidType(A,1);
4213   PetscValidType(B,2);
4214   PetscValidIntPointer(flg,3);
4215   PetscCheckSameComm(A,1,B,2);
4216   ierr = MatPreallocated(B);CHKERRQ(ierr);
4217   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4218   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4219   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);
4220   if (!A->ops->equal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)A)->type_name);
4221   if (!B->ops->equal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)B)->type_name);
4222   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);
4223   ierr = MatPreallocated(A);CHKERRQ(ierr);
4224 
4225   ierr = (*A->ops->equal)(A,B,flg);CHKERRQ(ierr);
4226   PetscFunctionReturn(0);
4227 }
4228 
4229 #undef __FUNCT__
4230 #define __FUNCT__ "MatDiagonalScale"
4231 /*@
4232    MatDiagonalScale - Scales a matrix on the left and right by diagonal
4233    matrices that are stored as vectors.  Either of the two scaling
4234    matrices can be PETSC_NULL.
4235 
4236    Collective on Mat
4237 
4238    Input Parameters:
4239 +  mat - the matrix to be scaled
4240 .  l - the left scaling vector (or PETSC_NULL)
4241 -  r - the right scaling vector (or PETSC_NULL)
4242 
4243    Notes:
4244    MatDiagonalScale() computes A = LAR, where
4245    L = a diagonal matrix (stored as a vector), R = a diagonal matrix (stored as a vector)
4246 
4247    Level: intermediate
4248 
4249    Concepts: matrices^diagonal scaling
4250    Concepts: diagonal scaling of matrices
4251 
4252 .seealso: MatScale()
4253 @*/
4254 PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalScale(Mat mat,Vec l,Vec r)
4255 {
4256   PetscErrorCode ierr;
4257 
4258   PetscFunctionBegin;
4259   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4260   PetscValidType(mat,1);
4261   if (!mat->ops->diagonalscale) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4262   if (l) {PetscValidHeaderSpecific(l,VEC_COOKIE,2);PetscCheckSameComm(mat,1,l,2);}
4263   if (r) {PetscValidHeaderSpecific(r,VEC_COOKIE,3);PetscCheckSameComm(mat,1,r,3);}
4264   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4265   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4266   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4267 
4268   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4269   ierr = (*mat->ops->diagonalscale)(mat,l,r);CHKERRQ(ierr);
4270   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4271   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4272   PetscFunctionReturn(0);
4273 }
4274 
4275 #undef __FUNCT__
4276 #define __FUNCT__ "MatScale"
4277 /*@
4278     MatScale - Scales all elements of a matrix by a given number.
4279 
4280     Collective on Mat
4281 
4282     Input Parameters:
4283 +   mat - the matrix to be scaled
4284 -   a  - the scaling value
4285 
4286     Output Parameter:
4287 .   mat - the scaled matrix
4288 
4289     Level: intermediate
4290 
4291     Concepts: matrices^scaling all entries
4292 
4293 .seealso: MatDiagonalScale()
4294 @*/
4295 PetscErrorCode PETSCMAT_DLLEXPORT MatScale(Mat mat,PetscScalar a)
4296 {
4297   PetscErrorCode ierr;
4298 
4299   PetscFunctionBegin;
4300   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4301   PetscValidType(mat,1);
4302   if (a != 1.0 && !mat->ops->scale) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4303   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4304   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4305   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4306 
4307   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4308   if (a != 1.0) {
4309     ierr = (*mat->ops->scale)(mat,a);CHKERRQ(ierr);
4310     ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4311   }
4312   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4313   PetscFunctionReturn(0);
4314 }
4315 
4316 #undef __FUNCT__
4317 #define __FUNCT__ "MatNorm"
4318 /*@
4319    MatNorm - Calculates various norms of a matrix.
4320 
4321    Collective on Mat
4322 
4323    Input Parameters:
4324 +  mat - the matrix
4325 -  type - the type of norm, NORM_1, NORM_FROBENIUS, NORM_INFINITY
4326 
4327    Output Parameters:
4328 .  nrm - the resulting norm
4329 
4330    Level: intermediate
4331 
4332    Concepts: matrices^norm
4333    Concepts: norm^of matrix
4334 @*/
4335 PetscErrorCode PETSCMAT_DLLEXPORT MatNorm(Mat mat,NormType type,PetscReal *nrm)
4336 {
4337   PetscErrorCode ierr;
4338 
4339   PetscFunctionBegin;
4340   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4341   PetscValidType(mat,1);
4342   PetscValidScalarPointer(nrm,3);
4343 
4344   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4345   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4346   if (!mat->ops->norm) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4347   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4348 
4349   ierr = (*mat->ops->norm)(mat,type,nrm);CHKERRQ(ierr);
4350   PetscFunctionReturn(0);
4351 }
4352 
4353 /*
4354      This variable is used to prevent counting of MatAssemblyBegin() that
4355    are called from within a MatAssemblyEnd().
4356 */
4357 static PetscInt MatAssemblyEnd_InUse = 0;
4358 #undef __FUNCT__
4359 #define __FUNCT__ "MatAssemblyBegin"
4360 /*@
4361    MatAssemblyBegin - Begins assembling the matrix.  This routine should
4362    be called after completing all calls to MatSetValues().
4363 
4364    Collective on Mat
4365 
4366    Input Parameters:
4367 +  mat - the matrix
4368 -  type - type of assembly, either MAT_FLUSH_ASSEMBLY or MAT_FINAL_ASSEMBLY
4369 
4370    Notes:
4371    MatSetValues() generally caches the values.  The matrix is ready to
4372    use only after MatAssemblyBegin() and MatAssemblyEnd() have been called.
4373    Use MAT_FLUSH_ASSEMBLY when switching between ADD_VALUES and INSERT_VALUES
4374    in MatSetValues(); use MAT_FINAL_ASSEMBLY for the final assembly before
4375    using the matrix.
4376 
4377    Level: beginner
4378 
4379    Concepts: matrices^assembling
4380 
4381 .seealso: MatAssemblyEnd(), MatSetValues(), MatAssembled()
4382 @*/
4383 PetscErrorCode PETSCMAT_DLLEXPORT MatAssemblyBegin(Mat mat,MatAssemblyType type)
4384 {
4385   PetscErrorCode ierr;
4386 
4387   PetscFunctionBegin;
4388   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4389   PetscValidType(mat,1);
4390   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4391   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix.\nDid you forget to call MatSetUnfactored()?");
4392   if (mat->assembled) {
4393     mat->was_assembled = PETSC_TRUE;
4394     mat->assembled     = PETSC_FALSE;
4395   }
4396   if (!MatAssemblyEnd_InUse) {
4397     ierr = PetscLogEventBegin(MAT_AssemblyBegin,mat,0,0,0);CHKERRQ(ierr);
4398     if (mat->ops->assemblybegin){ierr = (*mat->ops->assemblybegin)(mat,type);CHKERRQ(ierr);}
4399     ierr = PetscLogEventEnd(MAT_AssemblyBegin,mat,0,0,0);CHKERRQ(ierr);
4400   } else {
4401     if (mat->ops->assemblybegin){ierr = (*mat->ops->assemblybegin)(mat,type);CHKERRQ(ierr);}
4402   }
4403   PetscFunctionReturn(0);
4404 }
4405 
4406 #undef __FUNCT__
4407 #define __FUNCT__ "MatAssembed"
4408 /*@
4409    MatAssembled - Indicates if a matrix has been assembled and is ready for
4410      use; for example, in matrix-vector product.
4411 
4412    Collective on Mat
4413 
4414    Input Parameter:
4415 .  mat - the matrix
4416 
4417    Output Parameter:
4418 .  assembled - PETSC_TRUE or PETSC_FALSE
4419 
4420    Level: advanced
4421 
4422    Concepts: matrices^assembled?
4423 
4424 .seealso: MatAssemblyEnd(), MatSetValues(), MatAssemblyBegin()
4425 @*/
4426 PetscErrorCode PETSCMAT_DLLEXPORT MatAssembled(Mat mat,PetscTruth *assembled)
4427 {
4428   PetscFunctionBegin;
4429   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4430   PetscValidType(mat,1);
4431   PetscValidPointer(assembled,2);
4432   *assembled = mat->assembled;
4433   PetscFunctionReturn(0);
4434 }
4435 
4436 #undef __FUNCT__
4437 #define __FUNCT__ "MatView_Private"
4438 /*
4439     Processes command line options to determine if/how a matrix
4440   is to be viewed. Called by MatAssemblyEnd() and MatLoad().
4441 */
4442 PetscErrorCode MatView_Private(Mat mat)
4443 {
4444   PetscErrorCode    ierr;
4445   PetscTruth        flg1 = PETSC_FALSE,flg2 = PETSC_FALSE,flg3 = PETSC_FALSE,flg4 = PETSC_FALSE,flg6 = PETSC_FALSE,flg7 = PETSC_FALSE,flg8 = PETSC_FALSE;
4446   static PetscTruth incall = PETSC_FALSE;
4447 #if defined(PETSC_USE_SOCKET_VIEWER)
4448   PetscTruth        flg5 = PETSC_FALSE;
4449 #endif
4450 
4451   PetscFunctionBegin;
4452   if (incall) PetscFunctionReturn(0);
4453   incall = PETSC_TRUE;
4454   ierr = PetscOptionsBegin(((PetscObject)mat)->comm,((PetscObject)mat)->prefix,"Matrix Options","Mat");CHKERRQ(ierr);
4455     ierr = PetscOptionsTruth("-mat_view_info","Information on matrix size","MatView",flg1,&flg1,PETSC_NULL);CHKERRQ(ierr);
4456     ierr = PetscOptionsTruth("-mat_view_info_detailed","Nonzeros in the matrix","MatView",flg2,&flg2,PETSC_NULL);CHKERRQ(ierr);
4457     ierr = PetscOptionsTruth("-mat_view","Print matrix to stdout","MatView",flg3,&flg3,PETSC_NULL);CHKERRQ(ierr);
4458     ierr = PetscOptionsTruth("-mat_view_matlab","Print matrix to stdout in a format Matlab can read","MatView",flg4,&flg4,PETSC_NULL);CHKERRQ(ierr);
4459 #if defined(PETSC_USE_SOCKET_VIEWER)
4460     ierr = PetscOptionsTruth("-mat_view_socket","Send matrix to socket (can be read from matlab)","MatView",flg5,&flg5,PETSC_NULL);CHKERRQ(ierr);
4461 #endif
4462     ierr = PetscOptionsTruth("-mat_view_binary","Save matrix to file in binary format","MatView",flg6,&flg6,PETSC_NULL);CHKERRQ(ierr);
4463     ierr = PetscOptionsTruth("-mat_view_draw","Draw the matrix nonzero structure","MatView",flg7,&flg7,PETSC_NULL);CHKERRQ(ierr);
4464   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4465 
4466   if (flg1) {
4467     PetscViewer viewer;
4468 
4469     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4470     ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO);CHKERRQ(ierr);
4471     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4472     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
4473   }
4474   if (flg2) {
4475     PetscViewer viewer;
4476 
4477     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4478     ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL);CHKERRQ(ierr);
4479     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4480     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
4481   }
4482   if (flg3) {
4483     PetscViewer viewer;
4484 
4485     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4486     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4487   }
4488   if (flg4) {
4489     PetscViewer viewer;
4490 
4491     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4492     ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr);
4493     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4494     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
4495   }
4496 #if defined(PETSC_USE_SOCKET_VIEWER)
4497   if (flg5) {
4498     ierr = MatView(mat,PETSC_VIEWER_SOCKET_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4499     ierr = PetscViewerFlush(PETSC_VIEWER_SOCKET_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4500   }
4501 #endif
4502   if (flg6) {
4503     ierr = MatView(mat,PETSC_VIEWER_BINARY_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4504     ierr = PetscViewerFlush(PETSC_VIEWER_BINARY_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4505   }
4506   if (flg7) {
4507     ierr = PetscOptionsGetTruth(((PetscObject)mat)->prefix,"-mat_view_contour",&flg8,PETSC_NULL);CHKERRQ(ierr);
4508     if (flg8) {
4509       PetscViewerPushFormat(PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm),PETSC_VIEWER_DRAW_CONTOUR);CHKERRQ(ierr);
4510     }
4511     ierr = MatView(mat,PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4512     ierr = PetscViewerFlush(PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4513     if (flg8) {
4514       PetscViewerPopFormat(PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4515     }
4516   }
4517   incall = PETSC_FALSE;
4518   PetscFunctionReturn(0);
4519 }
4520 
4521 #undef __FUNCT__
4522 #define __FUNCT__ "MatAssemblyEnd"
4523 /*@
4524    MatAssemblyEnd - Completes assembling the matrix.  This routine should
4525    be called after MatAssemblyBegin().
4526 
4527    Collective on Mat
4528 
4529    Input Parameters:
4530 +  mat - the matrix
4531 -  type - type of assembly, either MAT_FLUSH_ASSEMBLY or MAT_FINAL_ASSEMBLY
4532 
4533    Options Database Keys:
4534 +  -mat_view_info - Prints info on matrix at conclusion of MatEndAssembly()
4535 .  -mat_view_info_detailed - Prints more detailed info
4536 .  -mat_view - Prints matrix in ASCII format
4537 .  -mat_view_matlab - Prints matrix in Matlab format
4538 .  -mat_view_draw - PetscDraws nonzero structure of matrix, using MatView() and PetscDrawOpenX().
4539 .  -display <name> - Sets display name (default is host)
4540 .  -draw_pause <sec> - Sets number of seconds to pause after display
4541 .  -mat_view_socket - Sends matrix to socket, can be accessed from Matlab (see users manual)
4542 .  -viewer_socket_machine <machine>
4543 .  -viewer_socket_port <port>
4544 .  -mat_view_binary - save matrix to file in binary format
4545 -  -viewer_binary_filename <name>
4546 
4547    Notes:
4548    MatSetValues() generally caches the values.  The matrix is ready to
4549    use only after MatAssemblyBegin() and MatAssemblyEnd() have been called.
4550    Use MAT_FLUSH_ASSEMBLY when switching between ADD_VALUES and INSERT_VALUES
4551    in MatSetValues(); use MAT_FINAL_ASSEMBLY for the final assembly before
4552    using the matrix.
4553 
4554    Level: beginner
4555 
4556 .seealso: MatAssemblyBegin(), MatSetValues(), PetscDrawOpenX(), MatView(), MatAssembled(), PetscViewerSocketOpen()
4557 @*/
4558 PetscErrorCode PETSCMAT_DLLEXPORT MatAssemblyEnd(Mat mat,MatAssemblyType type)
4559 {
4560   PetscErrorCode  ierr;
4561   static PetscInt inassm = 0;
4562   PetscTruth      flg = PETSC_FALSE;
4563 
4564   PetscFunctionBegin;
4565   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4566   PetscValidType(mat,1);
4567 
4568   inassm++;
4569   MatAssemblyEnd_InUse++;
4570   if (MatAssemblyEnd_InUse == 1) { /* Do the logging only the first time through */
4571     ierr = PetscLogEventBegin(MAT_AssemblyEnd,mat,0,0,0);CHKERRQ(ierr);
4572     if (mat->ops->assemblyend) {
4573       ierr = (*mat->ops->assemblyend)(mat,type);CHKERRQ(ierr);
4574     }
4575     ierr = PetscLogEventEnd(MAT_AssemblyEnd,mat,0,0,0);CHKERRQ(ierr);
4576   } else {
4577     if (mat->ops->assemblyend) {
4578       ierr = (*mat->ops->assemblyend)(mat,type);CHKERRQ(ierr);
4579     }
4580   }
4581 
4582   /* Flush assembly is not a true assembly */
4583   if (type != MAT_FLUSH_ASSEMBLY) {
4584     mat->assembled  = PETSC_TRUE; mat->num_ass++;
4585   }
4586   mat->insertmode = NOT_SET_VALUES;
4587   MatAssemblyEnd_InUse--;
4588   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4589   if (!mat->symmetric_eternal) {
4590     mat->symmetric_set              = PETSC_FALSE;
4591     mat->hermitian_set              = PETSC_FALSE;
4592     mat->structurally_symmetric_set = PETSC_FALSE;
4593   }
4594   if (inassm == 1 && type != MAT_FLUSH_ASSEMBLY) {
4595     ierr = MatView_Private(mat);CHKERRQ(ierr);
4596     ierr = PetscOptionsGetTruth(((PetscObject)mat)->prefix,"-mat_is_symmetric",&flg,PETSC_NULL);CHKERRQ(ierr);
4597     if (flg) {
4598       PetscReal tol = 0.0;
4599       ierr = PetscOptionsGetReal(((PetscObject)mat)->prefix,"-mat_is_symmetric",&tol,PETSC_NULL);CHKERRQ(ierr);
4600       ierr = MatIsSymmetric(mat,tol,&flg);CHKERRQ(ierr);
4601       if (flg) {
4602         ierr = PetscPrintf(((PetscObject)mat)->comm,"Matrix is symmetric (tolerance %G)\n",tol);CHKERRQ(ierr);
4603       } else {
4604         ierr = PetscPrintf(((PetscObject)mat)->comm,"Matrix is not symmetric (tolerance %G)\n",tol);CHKERRQ(ierr);
4605       }
4606     }
4607   }
4608   inassm--;
4609   PetscFunctionReturn(0);
4610 }
4611 
4612 #undef __FUNCT__
4613 #define __FUNCT__ "MatSetOption"
4614 /*@
4615    MatSetOption - Sets a parameter option for a matrix. Some options
4616    may be specific to certain storage formats.  Some options
4617    determine how values will be inserted (or added). Sorted,
4618    row-oriented input will generally assemble the fastest. The default
4619    is row-oriented, nonsorted input.
4620 
4621    Collective on Mat
4622 
4623    Input Parameters:
4624 +  mat - the matrix
4625 .  option - the option, one of those listed below (and possibly others),
4626 -  flg - turn the option on (PETSC_TRUE) or off (PETSC_FALSE)
4627 
4628   Options Describing Matrix Structure:
4629 +    MAT_SYMMETRIC - symmetric in terms of both structure and value
4630 .    MAT_HERMITIAN - transpose is the complex conjugation
4631 .    MAT_STRUCTURALLY_SYMMETRIC - symmetric nonzero structure
4632 -    MAT_SYMMETRY_ETERNAL - if you would like the symmetry/Hermitian flag
4633                             you set to be kept with all future use of the matrix
4634                             including after MatAssemblyBegin/End() which could
4635                             potentially change the symmetry structure, i.e. you
4636                             KNOW the matrix will ALWAYS have the property you set.
4637 
4638 
4639    Options For Use with MatSetValues():
4640    Insert a logically dense subblock, which can be
4641 .    MAT_ROW_ORIENTED - row-oriented (default)
4642 
4643    Note these options reflect the data you pass in with MatSetValues(); it has
4644    nothing to do with how the data is stored internally in the matrix
4645    data structure.
4646 
4647    When (re)assembling a matrix, we can restrict the input for
4648    efficiency/debugging purposes.  These options include
4649 +    MAT_NEW_NONZERO_LOCATIONS - additional insertions will be
4650         allowed if they generate a new nonzero
4651 .    MAT_NEW_DIAGONALS - new diagonals will be allowed (for block diagonal format only)
4652 .    MAT_IGNORE_OFF_PROC_ENTRIES - drops off-processor entries
4653 .    MAT_NEW_NONZERO_LOCATION_ERR - generates an error for new matrix entry
4654 -    MAT_USE_HASH_TABLE - uses a hash table to speed up matrix assembly
4655 
4656    Notes:
4657    Some options are relevant only for particular matrix types and
4658    are thus ignored by others.  Other options are not supported by
4659    certain matrix types and will generate an error message if set.
4660 
4661    If using a Fortran 77 module to compute a matrix, one may need to
4662    use the column-oriented option (or convert to the row-oriented
4663    format).
4664 
4665    MAT_NEW_NONZERO_LOCATIONS set to PETSC_FALSE indicates that any add or insertion
4666    that would generate a new entry in the nonzero structure is instead
4667    ignored.  Thus, if memory has not alredy been allocated for this particular
4668    data, then the insertion is ignored. For dense matrices, in which
4669    the entire array is allocated, no entries are ever ignored.
4670    Set after the first MatAssemblyEnd()
4671 
4672    MAT_NEW_NONZERO_LOCATION_ERR indicates that any add or insertion
4673    that would generate a new entry in the nonzero structure instead produces
4674    an error. (Currently supported for AIJ and BAIJ formats only.)
4675    This is a useful flag when using SAME_NONZERO_PATTERN in calling
4676    KSPSetOperators() to ensure that the nonzero pattern truely does
4677    remain unchanged. Set after the first MatAssemblyEnd()
4678 
4679    MAT_NEW_NONZERO_ALLOCATION_ERR indicates that any add or insertion
4680    that would generate a new entry that has not been preallocated will
4681    instead produce an error. (Currently supported for AIJ and BAIJ formats
4682    only.) This is a useful flag when debugging matrix memory preallocation.
4683 
4684    MAT_IGNORE_OFF_PROC_ENTRIES indicates entries destined for
4685    other processors should be dropped, rather than stashed.
4686    This is useful if you know that the "owning" processor is also
4687    always generating the correct matrix entries, so that PETSc need
4688    not transfer duplicate entries generated on another processor.
4689 
4690    MAT_USE_HASH_TABLE indicates that a hash table be used to improve the
4691    searches during matrix assembly. When this flag is set, the hash table
4692    is created during the first Matrix Assembly. This hash table is
4693    used the next time through, during MatSetVaules()/MatSetVaulesBlocked()
4694    to improve the searching of indices. MAT_NEW_NONZERO_LOCATIONS flag
4695    should be used with MAT_USE_HASH_TABLE flag. This option is currently
4696    supported by MATMPIBAIJ format only.
4697 
4698    MAT_KEEP_ZEROED_ROWS indicates when MatZeroRows() is called the zeroed entries
4699    are kept in the nonzero structure
4700 
4701    MAT_IGNORE_ZERO_ENTRIES - for AIJ/IS matrices this will stop zero values from creating
4702    a zero location in the matrix
4703 
4704    MAT_USE_INODES - indicates using inode version of the code - works with AIJ and
4705    ROWBS matrix types
4706 
4707    Level: intermediate
4708 
4709    Concepts: matrices^setting options
4710 
4711 @*/
4712 PetscErrorCode PETSCMAT_DLLEXPORT MatSetOption(Mat mat,MatOption op,PetscTruth flg)
4713 {
4714   PetscErrorCode ierr;
4715 
4716   PetscFunctionBegin;
4717   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4718   PetscValidType(mat,1);
4719   if (((int) op) < 0 || ((int) op) >= NUM_MAT_OPTIONS) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Options %d is out of range",(int)op);
4720   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4721   switch (op) {
4722   case MAT_SYMMETRIC:
4723     mat->symmetric                  = flg;
4724     if (flg) mat->structurally_symmetric     = PETSC_TRUE;
4725     mat->symmetric_set              = PETSC_TRUE;
4726     mat->structurally_symmetric_set = flg;
4727     break;
4728   case MAT_HERMITIAN:
4729     mat->hermitian                  = flg;
4730     if (flg) mat->structurally_symmetric     = PETSC_TRUE;
4731     mat->hermitian_set              = PETSC_TRUE;
4732     mat->structurally_symmetric_set = flg;
4733     break;
4734   case MAT_STRUCTURALLY_SYMMETRIC:
4735     mat->structurally_symmetric     = flg;
4736     mat->structurally_symmetric_set = PETSC_TRUE;
4737     break;
4738   case MAT_SYMMETRY_ETERNAL:
4739     mat->symmetric_eternal          = flg;
4740     break;
4741   default:
4742     break;
4743   }
4744   if (mat->ops->setoption) {
4745     ierr = (*mat->ops->setoption)(mat,op,flg);CHKERRQ(ierr);
4746   }
4747   PetscFunctionReturn(0);
4748 }
4749 
4750 #undef __FUNCT__
4751 #define __FUNCT__ "MatZeroEntries"
4752 /*@
4753    MatZeroEntries - Zeros all entries of a matrix.  For sparse matrices
4754    this routine retains the old nonzero structure.
4755 
4756    Collective on Mat
4757 
4758    Input Parameters:
4759 .  mat - the matrix
4760 
4761    Level: intermediate
4762 
4763    Concepts: matrices^zeroing
4764 
4765 .seealso: MatZeroRows()
4766 @*/
4767 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroEntries(Mat mat)
4768 {
4769   PetscErrorCode ierr;
4770 
4771   PetscFunctionBegin;
4772   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4773   PetscValidType(mat,1);
4774   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4775   if (mat->insertmode != NOT_SET_VALUES) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for matrices where you have set values but not yet assembled");
4776   if (!mat->ops->zeroentries) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4777   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4778 
4779   ierr = PetscLogEventBegin(MAT_ZeroEntries,mat,0,0,0);CHKERRQ(ierr);
4780   ierr = (*mat->ops->zeroentries)(mat);CHKERRQ(ierr);
4781   ierr = PetscLogEventEnd(MAT_ZeroEntries,mat,0,0,0);CHKERRQ(ierr);
4782   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4783   PetscFunctionReturn(0);
4784 }
4785 
4786 #undef __FUNCT__
4787 #define __FUNCT__ "MatZeroRows"
4788 /*@C
4789    MatZeroRows - Zeros all entries (except possibly the main diagonal)
4790    of a set of rows of a matrix.
4791 
4792    Collective on Mat
4793 
4794    Input Parameters:
4795 +  mat - the matrix
4796 .  numRows - the number of rows to remove
4797 .  rows - the global row indices
4798 -  diag - value put in all diagonals of eliminated rows (0.0 will even eliminate diagonal entry)
4799 
4800    Notes:
4801    For the AIJ and BAIJ matrix formats this removes the old nonzero structure,
4802    but does not release memory.  For the dense and block diagonal
4803    formats this does not alter the nonzero structure.
4804 
4805    If the option MatSetOption(mat,MAT_KEEP_ZEROED_ROWS,PETSC_TRUE) the nonzero structure
4806    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
4807    merely zeroed.
4808 
4809    The user can set a value in the diagonal entry (or for the AIJ and
4810    row formats can optionally remove the main diagonal entry from the
4811    nonzero structure as well, by passing 0.0 as the final argument).
4812 
4813    For the parallel case, all processes that share the matrix (i.e.,
4814    those in the communicator used for matrix creation) MUST call this
4815    routine, regardless of whether any rows being zeroed are owned by
4816    them.
4817 
4818    Each processor can indicate any rows in the entire matrix to be zeroed (i.e. each process does NOT have to
4819    list only rows local to itself).
4820 
4821    Level: intermediate
4822 
4823    Concepts: matrices^zeroing rows
4824 
4825 .seealso: MatZeroRowsIS(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption()
4826 @*/
4827 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRows(Mat mat,PetscInt numRows,const PetscInt rows[],PetscScalar diag)
4828 {
4829   PetscErrorCode ierr;
4830 
4831   PetscFunctionBegin;
4832   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4833   PetscValidType(mat,1);
4834   if (numRows) PetscValidIntPointer(rows,3);
4835   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4836   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4837   if (!mat->ops->zerorows) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4838   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4839 
4840   ierr = (*mat->ops->zerorows)(mat,numRows,rows,diag);CHKERRQ(ierr);
4841   ierr = MatView_Private(mat);CHKERRQ(ierr);
4842   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4843   PetscFunctionReturn(0);
4844 }
4845 
4846 #undef __FUNCT__
4847 #define __FUNCT__ "MatZeroRowsIS"
4848 /*@C
4849    MatZeroRowsIS - 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 .  is - index set of rows to remove
4857 -  diag - value put in all diagonals of eliminated rows
4858 
4859    Notes:
4860    For the AIJ and BAIJ matrix formats this removes the old nonzero structure,
4861    but does not release memory.  For the dense and block diagonal
4862    formats this does not alter the nonzero structure.
4863 
4864    If the option MatSetOption(mat,MAT_KEEP_ZEROED_ROWS,PETSC_TRUE) the nonzero structure
4865    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
4866    merely zeroed.
4867 
4868    The user can set a value in the diagonal entry (or for the AIJ and
4869    row formats can optionally remove the main diagonal entry from the
4870    nonzero structure as well, by passing 0.0 as the final argument).
4871 
4872    For the parallel case, all processes that share the matrix (i.e.,
4873    those in the communicator used for matrix creation) MUST call this
4874    routine, regardless of whether any rows being zeroed are owned by
4875    them.
4876 
4877    Each processor should list the rows that IT wants zeroed
4878 
4879    Level: intermediate
4880 
4881    Concepts: matrices^zeroing rows
4882 
4883 .seealso: MatZeroRows(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption()
4884 @*/
4885 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsIS(Mat mat,IS is,PetscScalar diag)
4886 {
4887   PetscInt       numRows;
4888   const PetscInt *rows;
4889   PetscErrorCode ierr;
4890 
4891   PetscFunctionBegin;
4892   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4893   PetscValidType(mat,1);
4894   PetscValidHeaderSpecific(is,IS_COOKIE,2);
4895   ierr = ISGetLocalSize(is,&numRows);CHKERRQ(ierr);
4896   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
4897   ierr = MatZeroRows(mat,numRows,rows,diag);CHKERRQ(ierr);
4898   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
4899   PetscFunctionReturn(0);
4900 }
4901 
4902 #undef __FUNCT__
4903 #define __FUNCT__ "MatZeroRowsLocal"
4904 /*@C
4905    MatZeroRowsLocal - Zeros all entries (except possibly the main diagonal)
4906    of a set of rows of a matrix; using local numbering of rows.
4907 
4908    Collective on Mat
4909 
4910    Input Parameters:
4911 +  mat - the matrix
4912 .  numRows - the number of rows to remove
4913 .  rows - the global row indices
4914 -  diag - value put in all diagonals of eliminated rows
4915 
4916    Notes:
4917    Before calling MatZeroRowsLocal(), the user must first set the
4918    local-to-global mapping by calling MatSetLocalToGlobalMapping().
4919 
4920    For the AIJ 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_ZEROED_ROWS,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    Level: intermediate
4933 
4934    Concepts: matrices^zeroing
4935 
4936 .seealso: MatZeroRows(), MatZeroRowsLocalIS(), MatZeroEntries(), MatZeroRows(), MatSetLocalToGlobalMapping
4937 @*/
4938 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsLocal(Mat mat,PetscInt numRows,const PetscInt rows[],PetscScalar diag)
4939 {
4940   PetscErrorCode ierr;
4941 
4942   PetscFunctionBegin;
4943   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4944   PetscValidType(mat,1);
4945   if (numRows) PetscValidIntPointer(rows,3);
4946   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4947   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4948   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4949 
4950   if (mat->ops->zerorowslocal) {
4951     ierr = (*mat->ops->zerorowslocal)(mat,numRows,rows,diag);CHKERRQ(ierr);
4952   } else {
4953     IS             is, newis;
4954     const PetscInt *newRows;
4955 
4956     if (!mat->mapping) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Need to provide local to global mapping to matrix first");
4957     ierr = ISCreateGeneral(PETSC_COMM_SELF,numRows,rows,&is);CHKERRQ(ierr);
4958     ierr = ISLocalToGlobalMappingApplyIS(mat->mapping,is,&newis);CHKERRQ(ierr);
4959     ierr = ISGetIndices(newis,&newRows);CHKERRQ(ierr);
4960     ierr = (*mat->ops->zerorows)(mat,numRows,newRows,diag);CHKERRQ(ierr);
4961     ierr = ISRestoreIndices(newis,&newRows);CHKERRQ(ierr);
4962     ierr = ISDestroy(newis);CHKERRQ(ierr);
4963     ierr = ISDestroy(is);CHKERRQ(ierr);
4964   }
4965   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4966   PetscFunctionReturn(0);
4967 }
4968 
4969 #undef __FUNCT__
4970 #define __FUNCT__ "MatZeroRowsLocalIS"
4971 /*@C
4972    MatZeroRowsLocalIS - Zeros all entries (except possibly the main diagonal)
4973    of a set of rows of a matrix; using local numbering of rows.
4974 
4975    Collective on Mat
4976 
4977    Input Parameters:
4978 +  mat - the matrix
4979 .  is - index set of rows to remove
4980 -  diag - value put in all diagonals of eliminated rows
4981 
4982    Notes:
4983    Before calling MatZeroRowsLocalIS(), the user must first set the
4984    local-to-global mapping by calling MatSetLocalToGlobalMapping().
4985 
4986    For the AIJ matrix formats this removes the old nonzero structure,
4987    but does not release memory.  For the dense and block diagonal
4988    formats this does not alter the nonzero structure.
4989 
4990    If the option MatSetOption(mat,MAT_KEEP_ZEROED_ROWS,PETSC_TRUE) the nonzero structure
4991    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
4992    merely zeroed.
4993 
4994    The user can set a value in the diagonal entry (or for the AIJ and
4995    row formats can optionally remove the main diagonal entry from the
4996    nonzero structure as well, by passing 0.0 as the final argument).
4997 
4998    Level: intermediate
4999 
5000    Concepts: matrices^zeroing
5001 
5002 .seealso: MatZeroRows(), MatZeroRowsLocal(), MatZeroEntries(), MatZeroRows(), MatSetLocalToGlobalMapping
5003 @*/
5004 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsLocalIS(Mat mat,IS is,PetscScalar diag)
5005 {
5006   PetscErrorCode ierr;
5007   PetscInt       numRows;
5008   const PetscInt *rows;
5009 
5010   PetscFunctionBegin;
5011   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5012   PetscValidType(mat,1);
5013   PetscValidHeaderSpecific(is,IS_COOKIE,2);
5014   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5015   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5016   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5017 
5018   ierr = ISGetLocalSize(is,&numRows);CHKERRQ(ierr);
5019   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
5020   ierr = MatZeroRowsLocal(mat,numRows,rows,diag);CHKERRQ(ierr);
5021   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
5022   PetscFunctionReturn(0);
5023 }
5024 
5025 #undef __FUNCT__
5026 #define __FUNCT__ "MatGetSize"
5027 /*@
5028    MatGetSize - Returns the numbers of rows and columns in a matrix.
5029 
5030    Not Collective
5031 
5032    Input Parameter:
5033 .  mat - the matrix
5034 
5035    Output Parameters:
5036 +  m - the number of global rows
5037 -  n - the number of global columns
5038 
5039    Note: both output parameters can be PETSC_NULL on input.
5040 
5041    Level: beginner
5042 
5043    Concepts: matrices^size
5044 
5045 .seealso: MatGetLocalSize()
5046 @*/
5047 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSize(Mat mat,PetscInt *m,PetscInt* n)
5048 {
5049   PetscFunctionBegin;
5050   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5051   if (m) *m = mat->rmap->N;
5052   if (n) *n = mat->cmap->N;
5053   PetscFunctionReturn(0);
5054 }
5055 
5056 #undef __FUNCT__
5057 #define __FUNCT__ "MatGetLocalSize"
5058 /*@
5059    MatGetLocalSize - Returns the number of rows and columns in a matrix
5060    stored locally.  This information may be implementation dependent, so
5061    use with care.
5062 
5063    Not Collective
5064 
5065    Input Parameters:
5066 .  mat - the matrix
5067 
5068    Output Parameters:
5069 +  m - the number of local rows
5070 -  n - the number of local columns
5071 
5072    Note: both output parameters can be PETSC_NULL on input.
5073 
5074    Level: beginner
5075 
5076    Concepts: matrices^local size
5077 
5078 .seealso: MatGetSize()
5079 @*/
5080 PetscErrorCode PETSCMAT_DLLEXPORT MatGetLocalSize(Mat mat,PetscInt *m,PetscInt* n)
5081 {
5082   PetscFunctionBegin;
5083   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5084   if (m) PetscValidIntPointer(m,2);
5085   if (n) PetscValidIntPointer(n,3);
5086   if (m) *m = mat->rmap->n;
5087   if (n) *n = mat->cmap->n;
5088   PetscFunctionReturn(0);
5089 }
5090 
5091 #undef __FUNCT__
5092 #define __FUNCT__ "MatGetOwnershipRangeColumn"
5093 /*@
5094    MatGetOwnershipRangeColumn - Returns the range of matrix columns owned by
5095    this processor.
5096 
5097    Not Collective, unless matrix has not been allocated, then collective on Mat
5098 
5099    Input Parameters:
5100 .  mat - the matrix
5101 
5102    Output Parameters:
5103 +  m - the global index of the first local column
5104 -  n - one more than the global index of the last local column
5105 
5106    Notes: both output parameters can be PETSC_NULL on input.
5107 
5108    Level: developer
5109 
5110    Concepts: matrices^column ownership
5111 
5112 .seealso:  MatGetOwnershipRange(), MatGetOwnershipRanges(), MatGetOwnershipRangesColumn()
5113 
5114 @*/
5115 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRangeColumn(Mat mat,PetscInt *m,PetscInt* n)
5116 {
5117   PetscErrorCode ierr;
5118 
5119   PetscFunctionBegin;
5120   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5121   PetscValidType(mat,1);
5122   if (m) PetscValidIntPointer(m,2);
5123   if (n) PetscValidIntPointer(n,3);
5124   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5125   if (m) *m = mat->cmap->rstart;
5126   if (n) *n = mat->cmap->rend;
5127   PetscFunctionReturn(0);
5128 }
5129 
5130 #undef __FUNCT__
5131 #define __FUNCT__ "MatGetOwnershipRange"
5132 /*@
5133    MatGetOwnershipRange - Returns the range of matrix rows owned by
5134    this processor, assuming that the matrix is laid out with the first
5135    n1 rows on the first processor, the next n2 rows on the second, etc.
5136    For certain parallel layouts this range may not be well defined.
5137 
5138    Not Collective, unless matrix has not been allocated, then collective on Mat
5139 
5140    Input Parameters:
5141 .  mat - the matrix
5142 
5143    Output Parameters:
5144 +  m - the global index of the first local row
5145 -  n - one more than the global index of the last local row
5146 
5147    Note: both output parameters can be PETSC_NULL on input.
5148 
5149    Level: beginner
5150 
5151    Concepts: matrices^row ownership
5152 
5153 .seealso:   MatGetOwnershipRanges(), MatGetOwnershipRangeColumn(), MatGetOwnershipRangesColumn()
5154 
5155 @*/
5156 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRange(Mat mat,PetscInt *m,PetscInt* n)
5157 {
5158   PetscErrorCode ierr;
5159 
5160   PetscFunctionBegin;
5161   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5162   PetscValidType(mat,1);
5163   if (m) PetscValidIntPointer(m,2);
5164   if (n) PetscValidIntPointer(n,3);
5165   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5166   if (m) *m = mat->rmap->rstart;
5167   if (n) *n = mat->rmap->rend;
5168   PetscFunctionReturn(0);
5169 }
5170 
5171 #undef __FUNCT__
5172 #define __FUNCT__ "MatGetOwnershipRanges"
5173 /*@C
5174    MatGetOwnershipRanges - Returns the range of matrix rows owned by
5175    each process
5176 
5177    Not Collective, unless matrix has not been allocated, then collective on Mat
5178 
5179    Input Parameters:
5180 .  mat - the matrix
5181 
5182    Output Parameters:
5183 .  ranges - start of each processors portion plus one more then the total length at the end
5184 
5185    Level: beginner
5186 
5187    Concepts: matrices^row ownership
5188 
5189 .seealso:   MatGetOwnershipRange(), MatGetOwnershipRangeColumn(), MatGetOwnershipRangesColumn()
5190 
5191 @*/
5192 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRanges(Mat mat,const PetscInt **ranges)
5193 {
5194   PetscErrorCode ierr;
5195 
5196   PetscFunctionBegin;
5197   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5198   PetscValidType(mat,1);
5199   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5200   ierr = PetscMapGetRanges(mat->rmap,ranges);CHKERRQ(ierr);
5201   PetscFunctionReturn(0);
5202 }
5203 
5204 #undef __FUNCT__
5205 #define __FUNCT__ "MatGetOwnershipRangesColumn"
5206 /*@C
5207    MatGetOwnershipRangesColumn - Returns the range of local columns for each process
5208 
5209    Not Collective, unless matrix has not been allocated, then collective on Mat
5210 
5211    Input Parameters:
5212 .  mat - the matrix
5213 
5214    Output Parameters:
5215 .  ranges - start of each processors portion plus one more then the total length at the end
5216 
5217    Level: beginner
5218 
5219    Concepts: matrices^column ownership
5220 
5221 .seealso:   MatGetOwnershipRange(), MatGetOwnershipRangeColumn(), MatGetOwnershipRanges()
5222 
5223 @*/
5224 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRangesColumn(Mat mat,const PetscInt **ranges)
5225 {
5226   PetscErrorCode ierr;
5227 
5228   PetscFunctionBegin;
5229   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5230   PetscValidType(mat,1);
5231   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5232   ierr = PetscMapGetRanges(mat->cmap,ranges);CHKERRQ(ierr);
5233   PetscFunctionReturn(0);
5234 }
5235 
5236 #undef __FUNCT__
5237 #define __FUNCT__ "MatILUFactorSymbolic"
5238 /*@
5239    MatILUFactorSymbolic - Performs symbolic ILU factorization of a matrix.
5240    Uses levels of fill only, not drop tolerance. Use MatLUFactorNumeric()
5241    to complete the factorization.
5242 
5243    Collective on Mat
5244 
5245    Input Parameters:
5246 +  mat - the matrix
5247 .  row - row permutation
5248 .  column - column permutation
5249 -  info - structure containing
5250 $      levels - number of levels of fill.
5251 $      expected fill - as ratio of original fill.
5252 $      1 or 0 - indicating force fill on diagonal (improves robustness for matrices
5253                 missing diagonal entries)
5254 
5255    Output Parameters:
5256 .  fact - new matrix that has been symbolically factored
5257 
5258    Notes:
5259    See the users manual for additional information about
5260    choosing the fill factor for better efficiency.
5261 
5262    Most users should employ the simplified KSP interface for linear solvers
5263    instead of working directly with matrix algebra routines such as this.
5264    See, e.g., KSPCreate().
5265 
5266    Level: developer
5267 
5268   Concepts: matrices^symbolic LU factorization
5269   Concepts: matrices^factorization
5270   Concepts: LU^symbolic factorization
5271 
5272 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor()
5273           MatGetOrdering(), MatFactorInfo
5274 
5275 @*/
5276 PetscErrorCode PETSCMAT_DLLEXPORT MatILUFactorSymbolic(Mat fact,Mat mat,IS row,IS col,const MatFactorInfo *info)
5277 {
5278   PetscErrorCode ierr;
5279 
5280   PetscFunctionBegin;
5281   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5282   PetscValidType(mat,1);
5283   PetscValidHeaderSpecific(row,IS_COOKIE,2);
5284   PetscValidHeaderSpecific(col,IS_COOKIE,3);
5285   PetscValidPointer(info,4);
5286   PetscValidPointer(fact,5);
5287   if (info->levels < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Levels of fill negative %D",(PetscInt)info->levels);
5288   if (info->fill < 1.0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Expected fill less than 1.0 %G",info->fill);
5289   if (!(fact)->ops->ilufactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic ILU",((PetscObject)mat)->type_name);
5290   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5291   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5292   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5293 
5294   ierr = PetscLogEventBegin(MAT_ILUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
5295   ierr = (fact->ops->ilufactorsymbolic)(fact,mat,row,col,info);CHKERRQ(ierr);
5296   ierr = PetscLogEventEnd(MAT_ILUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
5297   PetscFunctionReturn(0);
5298 }
5299 
5300 #undef __FUNCT__
5301 #define __FUNCT__ "MatICCFactorSymbolic"
5302 /*@
5303    MatICCFactorSymbolic - Performs symbolic incomplete
5304    Cholesky factorization for a symmetric matrix.  Use
5305    MatCholeskyFactorNumeric() to complete the factorization.
5306 
5307    Collective on Mat
5308 
5309    Input Parameters:
5310 +  mat - the matrix
5311 .  perm - row and column permutation
5312 -  info - structure containing
5313 $      levels - number of levels of fill.
5314 $      expected fill - as ratio of original fill.
5315 
5316    Output Parameter:
5317 .  fact - the factored matrix
5318 
5319    Notes:
5320    Most users should employ the KSP interface for linear solvers
5321    instead of working directly with matrix algebra routines such as this.
5322    See, e.g., KSPCreate().
5323 
5324    Level: developer
5325 
5326   Concepts: matrices^symbolic incomplete Cholesky factorization
5327   Concepts: matrices^factorization
5328   Concepts: Cholsky^symbolic factorization
5329 
5330 .seealso: MatCholeskyFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
5331 @*/
5332 PetscErrorCode PETSCMAT_DLLEXPORT MatICCFactorSymbolic(Mat fact,Mat mat,IS perm,const MatFactorInfo *info)
5333 {
5334   PetscErrorCode ierr;
5335 
5336   PetscFunctionBegin;
5337   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5338   PetscValidType(mat,1);
5339   PetscValidHeaderSpecific(perm,IS_COOKIE,2);
5340   PetscValidPointer(info,3);
5341   PetscValidPointer(fact,4);
5342   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5343   if (info->levels < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Levels negative %D",(PetscInt) info->levels);
5344   if (info->fill < 1.0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Expected fill less than 1.0 %G",info->fill);
5345   if (!(fact)->ops->iccfactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic ICC",((PetscObject)mat)->type_name);
5346   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5347   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5348 
5349   ierr = PetscLogEventBegin(MAT_ICCFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
5350   ierr = (fact->ops->iccfactorsymbolic)(fact,mat,perm,info);CHKERRQ(ierr);
5351   ierr = PetscLogEventEnd(MAT_ICCFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
5352   PetscFunctionReturn(0);
5353 }
5354 
5355 #undef __FUNCT__
5356 #define __FUNCT__ "MatILUDTFactorSymbolic"
5357 /*@
5358    MatILUDTFactorSymbolic - Performs symbolic pivoting drop-tolerance ILU factorization of a matrix.
5359    User provides the drop tolerance(dt) and the maximum nonzeros to be allowed per row(dtcount).
5360    Use MatILUDTFactorNumeric() to complete the factorization.
5361 
5362    Collective on Mat
5363 
5364    Input Parameters:
5365 +  mat - the matrix
5366 .  row - row permutation
5367 .  column - column permutation
5368 -  info - structure containing
5369 $      dt - drop tolerance.
5370 $      dtcount - maximum nonzeros to be allowed per row.
5371 
5372    Output Parameters:
5373 .  fact - factor matrix with memory preallocated
5374 
5375    Notes:
5376    See the ILUT algorithm written by Yousef Saad.
5377 
5378    Most users should employ the simplified KSP interface for linear solvers
5379    instead of working directly with matrix algebra routines such as this.
5380    See, e.g., KSPCreate().
5381 
5382    Level: developer
5383 
5384   Concepts: matrices^symbolic ILU factorization
5385   Concepts: matrices^factorization
5386 
5387 .seealso: MatILUDTFactorNumeric()
5388           MatGetOrdering(), MatGetFactor(), MatFactorInfo
5389 
5390 @*/
5391 PetscErrorCode PETSCMAT_DLLEXPORT MatILUDTFactorSymbolic(Mat fact,Mat mat,IS row,IS col,const MatFactorInfo *info)
5392 {
5393   PetscErrorCode ierr;
5394 
5395   PetscFunctionBegin;
5396   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5397   PetscValidType(mat,1);
5398   PetscValidHeaderSpecific(row,IS_COOKIE,2);
5399   PetscValidHeaderSpecific(col,IS_COOKIE,3);
5400   PetscValidPointer(info,4);
5401   PetscValidPointer(fact,5);
5402   if (info->dt < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"drop tolerance negative %G",(PetscInt)info->dt);
5403   if (info->dtcount < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"nonzeros per row %D <0",info->dtcount);
5404   if (!(fact)->ops->iludtfactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic ILUDT",((PetscObject)mat)->type_name);
5405   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
5406   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5407   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5408   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5409 
5410   ierr = PetscLogEventBegin(MAT_ILUDTFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
5411   ierr = (fact->ops->iludtfactorsymbolic)(fact,mat,row,col,info);CHKERRQ(ierr);
5412   ierr = PetscLogEventEnd(MAT_ILUDTFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
5413   PetscFunctionReturn(0);
5414 }
5415 
5416 #undef __FUNCT__
5417 #define __FUNCT__ "MatILUDTFactorNumeric"
5418 /*@
5419    MatILUDTFactorNumeric - Performs numeric pivoting drop-tolerance ILU factorization of a matrix.
5420    Call this routine after first calling MatILUDTFactorSymbolic().
5421 
5422    Collective on Mat
5423 
5424    Input Parameters:
5425 +  fact - the factor matrix obtained with MatGetFactor()
5426 .  mat - the matrix
5427 -  info - options for factorization
5428 
5429    Output Parameters:
5430 .  fact - assembled factor matrix
5431 
5432    Notes:
5433    Most users should employ the simplified KSP interface for linear solvers
5434    instead of working directly with matrix algebra routines such as this.
5435    See, e.g., KSPCreate().
5436 
5437    Level: developer
5438 
5439 .seealso: MatILUDTFactorSymbolic()
5440 @*/
5441 PetscErrorCode PETSCMAT_DLLEXPORT MatILUDTFactorNumeric(Mat fact,Mat mat,const MatFactorInfo *info)
5442 {
5443   PetscErrorCode ierr;
5444 
5445   PetscFunctionBegin;
5446   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5447   PetscValidType(mat,1);
5448   PetscValidPointer(fact,2);
5449   PetscValidHeaderSpecific(fact,MAT_COOKIE,2);
5450   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5451   if (mat->rmap->N != (fact)->rmap->N || mat->cmap->N != (fact)->cmap->N) {
5452     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);
5453   }
5454   if (!(fact)->ops->iludtfactornumeric) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5455   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5456   ierr = PetscLogEventBegin(MAT_ILUDTFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
5457   ierr = (fact->ops->iludtfactornumeric)(fact,mat,info);CHKERRQ(ierr);
5458   ierr = PetscLogEventEnd(MAT_ILUDTFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
5459 
5460   ierr = MatView_Private(fact);CHKERRQ(ierr);
5461   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
5462   PetscFunctionReturn(0);
5463 }
5464 
5465 #undef __FUNCT__
5466 #define __FUNCT__ "MatGetArray"
5467 /*@C
5468    MatGetArray - Returns a pointer to the element values in the matrix.
5469    The result of this routine is dependent on the underlying matrix data
5470    structure, and may not even work for certain matrix types.  You MUST
5471    call MatRestoreArray() when you no longer need to access the array.
5472 
5473    Not Collective
5474 
5475    Input Parameter:
5476 .  mat - the matrix
5477 
5478    Output Parameter:
5479 .  v - the location of the values
5480 
5481 
5482    Fortran Note:
5483    This routine is used differently from Fortran, e.g.,
5484 .vb
5485         Mat         mat
5486         PetscScalar mat_array(1)
5487         PetscOffset i_mat
5488         PetscErrorCode ierr
5489         call MatGetArray(mat,mat_array,i_mat,ierr)
5490 
5491   C  Access first local entry in matrix; note that array is
5492   C  treated as one dimensional
5493         value = mat_array(i_mat + 1)
5494 
5495         [... other code ...]
5496         call MatRestoreArray(mat,mat_array,i_mat,ierr)
5497 .ve
5498 
5499    See the Fortran chapter of the users manual and
5500    petsc/src/mat/examples/tests for details.
5501 
5502    Level: advanced
5503 
5504    Concepts: matrices^access array
5505 
5506 .seealso: MatRestoreArray(), MatGetArrayF90(), MatGetRowIJ()
5507 @*/
5508 PetscErrorCode PETSCMAT_DLLEXPORT MatGetArray(Mat mat,PetscScalar *v[])
5509 {
5510   PetscErrorCode ierr;
5511 
5512   PetscFunctionBegin;
5513   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5514   PetscValidType(mat,1);
5515   PetscValidPointer(v,2);
5516   if (!mat->ops->getarray) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5517   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5518   ierr = (*mat->ops->getarray)(mat,v);CHKERRQ(ierr);
5519   CHKMEMQ;
5520   PetscFunctionReturn(0);
5521 }
5522 
5523 #undef __FUNCT__
5524 #define __FUNCT__ "MatRestoreArray"
5525 /*@C
5526    MatRestoreArray - Restores the matrix after MatGetArray() has been called.
5527 
5528    Not Collective
5529 
5530    Input Parameter:
5531 +  mat - the matrix
5532 -  v - the location of the values
5533 
5534    Fortran Note:
5535    This routine is used differently from Fortran, e.g.,
5536 .vb
5537         Mat         mat
5538         PetscScalar mat_array(1)
5539         PetscOffset i_mat
5540         PetscErrorCode ierr
5541         call MatGetArray(mat,mat_array,i_mat,ierr)
5542 
5543   C  Access first local entry in matrix; note that array is
5544   C  treated as one dimensional
5545         value = mat_array(i_mat + 1)
5546 
5547         [... other code ...]
5548         call MatRestoreArray(mat,mat_array,i_mat,ierr)
5549 .ve
5550 
5551    See the Fortran chapter of the users manual and
5552    petsc/src/mat/examples/tests for details
5553 
5554    Level: advanced
5555 
5556 .seealso: MatGetArray(), MatRestoreArrayF90()
5557 @*/
5558 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreArray(Mat mat,PetscScalar *v[])
5559 {
5560   PetscErrorCode ierr;
5561 
5562   PetscFunctionBegin;
5563   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5564   PetscValidType(mat,1);
5565   PetscValidPointer(v,2);
5566 #if defined(PETSC_USE_DEBUG)
5567   CHKMEMQ;
5568 #endif
5569   if (!mat->ops->restorearray) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5570   ierr = (*mat->ops->restorearray)(mat,v);CHKERRQ(ierr);
5571   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5572   PetscFunctionReturn(0);
5573 }
5574 
5575 #undef __FUNCT__
5576 #define __FUNCT__ "MatGetSubMatrices"
5577 /*@C
5578    MatGetSubMatrices - Extracts several submatrices from a matrix. If submat
5579    points to an array of valid matrices, they may be reused to store the new
5580    submatrices.
5581 
5582    Collective on Mat
5583 
5584    Input Parameters:
5585 +  mat - the matrix
5586 .  n   - the number of submatrixes to be extracted (on this processor, may be zero)
5587 .  irow, icol - index sets of rows and columns to extract
5588 -  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
5589 
5590    Output Parameter:
5591 .  submat - the array of submatrices
5592 
5593    Notes:
5594    MatGetSubMatrices() can extract ONLY sequential submatrices
5595    (from both sequential and parallel matrices). Use MatGetSubMatrix()
5596    to extract a parallel submatrix.
5597 
5598    When extracting submatrices from a parallel matrix, each processor can
5599    form a different submatrix by setting the rows and columns of its
5600    individual index sets according to the local submatrix desired.
5601 
5602    When finished using the submatrices, the user should destroy
5603    them with MatDestroyMatrices().
5604 
5605    MAT_REUSE_MATRIX can only be used when the nonzero structure of the
5606    original matrix has not changed from that last call to MatGetSubMatrices().
5607 
5608    This routine creates the matrices in submat; you should NOT create them before
5609    calling it. It also allocates the array of matrix pointers submat.
5610 
5611    For BAIJ matrices the index sets must respect the block structure, that is if they
5612    request one row/column in a block, they must request all rows/columns that are in
5613    that block. For example, if the block size is 2 you cannot request just row 0 and
5614    column 0.
5615 
5616    Fortran Note:
5617    The Fortran interface is slightly different from that given below; it
5618    requires one to pass in  as submat a Mat (integer) array of size at least m.
5619 
5620    Level: advanced
5621 
5622    Concepts: matrices^accessing submatrices
5623    Concepts: submatrices
5624 
5625 .seealso: MatDestroyMatrices(), MatGetSubMatrix(), MatGetRow(), MatGetDiagonal(), MatReuse
5626 @*/
5627 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[])
5628 {
5629   PetscErrorCode ierr;
5630   PetscInt        i;
5631   PetscTruth      eq;
5632 
5633   PetscFunctionBegin;
5634   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5635   PetscValidType(mat,1);
5636   if (n) {
5637     PetscValidPointer(irow,3);
5638     PetscValidHeaderSpecific(*irow,IS_COOKIE,3);
5639     PetscValidPointer(icol,4);
5640     PetscValidHeaderSpecific(*icol,IS_COOKIE,4);
5641   }
5642   PetscValidPointer(submat,6);
5643   if (n && scall == MAT_REUSE_MATRIX) {
5644     PetscValidPointer(*submat,6);
5645     PetscValidHeaderSpecific(**submat,MAT_COOKIE,6);
5646   }
5647   if (!mat->ops->getsubmatrices) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5648   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5649   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5650   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5651 
5652   ierr = PetscLogEventBegin(MAT_GetSubMatrices,mat,0,0,0);CHKERRQ(ierr);
5653   ierr = (*mat->ops->getsubmatrices)(mat,n,irow,icol,scall,submat);CHKERRQ(ierr);
5654   ierr = PetscLogEventEnd(MAT_GetSubMatrices,mat,0,0,0);CHKERRQ(ierr);
5655   for (i=0; i<n; i++) {
5656     if (mat->symmetric || mat->structurally_symmetric || mat->hermitian) {
5657       ierr = ISEqual(irow[i],icol[i],&eq);CHKERRQ(ierr);
5658       if (eq) {
5659 	if (mat->symmetric){
5660 	  ierr = MatSetOption((*submat)[i],MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
5661 	} else if (mat->hermitian) {
5662 	  ierr = MatSetOption((*submat)[i],MAT_HERMITIAN,PETSC_TRUE);CHKERRQ(ierr);
5663 	} else if (mat->structurally_symmetric) {
5664 	  ierr = MatSetOption((*submat)[i],MAT_STRUCTURALLY_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
5665 	}
5666       }
5667     }
5668   }
5669   PetscFunctionReturn(0);
5670 }
5671 
5672 #undef __FUNCT__
5673 #define __FUNCT__ "MatDestroyMatrices"
5674 /*@C
5675    MatDestroyMatrices - Destroys a set of matrices obtained with MatGetSubMatrices().
5676 
5677    Collective on Mat
5678 
5679    Input Parameters:
5680 +  n - the number of local matrices
5681 -  mat - the matrices (note that this is a pointer to the array of matrices, just to match the calling
5682                        sequence of MatGetSubMatrices())
5683 
5684    Level: advanced
5685 
5686     Notes: Frees not only the matrices, but also the array that contains the matrices
5687            In Fortran will not free the array.
5688 
5689 .seealso: MatGetSubMatrices()
5690 @*/
5691 PetscErrorCode PETSCMAT_DLLEXPORT MatDestroyMatrices(PetscInt n,Mat *mat[])
5692 {
5693   PetscErrorCode ierr;
5694   PetscInt       i;
5695 
5696   PetscFunctionBegin;
5697   if (n < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Trying to destroy negative number of matrices %D",n);
5698   PetscValidPointer(mat,2);
5699   for (i=0; i<n; i++) {
5700     ierr = MatDestroy((*mat)[i]);CHKERRQ(ierr);
5701   }
5702   /* memory is allocated even if n = 0 */
5703   ierr = PetscFree(*mat);CHKERRQ(ierr);
5704   PetscFunctionReturn(0);
5705 }
5706 
5707 #undef __FUNCT__
5708 #define __FUNCT__ "MatGetSeqNonzeroStructure"
5709 /*@C
5710    MatGetSeqNonzeroStructure - Extracts the sequential nonzero structure from a matrix.
5711 
5712    Collective on Mat
5713 
5714    Input Parameters:
5715 .  mat - the matrix
5716 
5717    Output Parameter:
5718 .  matstruct - the sequential matrix with the nonzero structure of mat
5719 
5720   Level: intermediate
5721 
5722 .seealso: MatDestroySeqNonzeroStructure(), MatGetSubMatrices(), MatDestroyMatrices()
5723 @*/
5724 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSeqNonzeroStructure(Mat mat,Mat *matstruct[])
5725 {
5726   PetscErrorCode ierr;
5727 
5728   PetscFunctionBegin;
5729   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5730   PetscValidPointer(matstruct,2);
5731 
5732   PetscValidType(mat,1);
5733   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5734   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5735 
5736   ierr = PetscLogEventBegin(MAT_GetSeqNonzeroStructure,mat,0,0,0);CHKERRQ(ierr);
5737   ierr = (*mat->ops->getseqnonzerostructure)(mat,matstruct);CHKERRQ(ierr);
5738   ierr = PetscLogEventEnd(MAT_GetSeqNonzeroStructure,mat,0,0,0);CHKERRQ(ierr);
5739   PetscFunctionReturn(0);
5740 }
5741 
5742 #undef __FUNCT__
5743 #define __FUNCT__ "MatDestroySeqNonzeroStructure"
5744 /*@C
5745    MatDestroySeqNonzeroStructure - Destroys matrix obtained with MatGetSeqNonzeroStructure().
5746 
5747    Collective on Mat
5748 
5749    Input Parameters:
5750 .  mat - the matrix (note that this is a pointer to the array of matrices, just to match the calling
5751                        sequence of MatGetSequentialNonzeroStructure())
5752 
5753    Level: advanced
5754 
5755     Notes: Frees not only the matrices, but also the array that contains the matrices
5756 
5757 .seealso: MatGetSeqNonzeroStructure()
5758 @*/
5759 PetscErrorCode PETSCMAT_DLLEXPORT MatDestroySeqNonzeroStructure(Mat *mat[])
5760 {
5761   PetscErrorCode ierr;
5762 
5763   PetscFunctionBegin;
5764   PetscValidPointer(mat,1);
5765   ierr = MatDestroyMatrices(1,mat);CHKERRQ(ierr);
5766   PetscFunctionReturn(0);
5767 }
5768 
5769 #undef __FUNCT__
5770 #define __FUNCT__ "MatIncreaseOverlap"
5771 /*@
5772    MatIncreaseOverlap - Given a set of submatrices indicated by index sets,
5773    replaces the index sets by larger ones that represent submatrices with
5774    additional overlap.
5775 
5776    Collective on Mat
5777 
5778    Input Parameters:
5779 +  mat - the matrix
5780 .  n   - the number of index sets
5781 .  is  - the array of index sets (these index sets will changed during the call)
5782 -  ov  - the additional overlap requested
5783 
5784    Level: developer
5785 
5786    Concepts: overlap
5787    Concepts: ASM^computing overlap
5788 
5789 .seealso: MatGetSubMatrices()
5790 @*/
5791 PetscErrorCode PETSCMAT_DLLEXPORT MatIncreaseOverlap(Mat mat,PetscInt n,IS is[],PetscInt ov)
5792 {
5793   PetscErrorCode ierr;
5794 
5795   PetscFunctionBegin;
5796   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5797   PetscValidType(mat,1);
5798   if (n < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Must have one or more domains, you have %D",n);
5799   if (n) {
5800     PetscValidPointer(is,3);
5801     PetscValidHeaderSpecific(*is,IS_COOKIE,3);
5802   }
5803   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5804   if (mat->factor)     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5805   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5806 
5807   if (!ov) PetscFunctionReturn(0);
5808   if (!mat->ops->increaseoverlap) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5809   ierr = PetscLogEventBegin(MAT_IncreaseOverlap,mat,0,0,0);CHKERRQ(ierr);
5810   ierr = (*mat->ops->increaseoverlap)(mat,n,is,ov);CHKERRQ(ierr);
5811   ierr = PetscLogEventEnd(MAT_IncreaseOverlap,mat,0,0,0);CHKERRQ(ierr);
5812   PetscFunctionReturn(0);
5813 }
5814 
5815 #undef __FUNCT__
5816 #define __FUNCT__ "MatGetBlockSize"
5817 /*@
5818    MatGetBlockSize - Returns the matrix block size; useful especially for the
5819    block row and block diagonal formats.
5820 
5821    Not Collective
5822 
5823    Input Parameter:
5824 .  mat - the matrix
5825 
5826    Output Parameter:
5827 .  bs - block size
5828 
5829    Notes:
5830    Block row formats are MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ
5831 
5832    Level: intermediate
5833 
5834    Concepts: matrices^block size
5835 
5836 .seealso: MatCreateSeqBAIJ(), MatCreateMPIBAIJ()
5837 @*/
5838 PetscErrorCode PETSCMAT_DLLEXPORT MatGetBlockSize(Mat mat,PetscInt *bs)
5839 {
5840   PetscErrorCode ierr;
5841 
5842   PetscFunctionBegin;
5843   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5844   PetscValidType(mat,1);
5845   PetscValidIntPointer(bs,2);
5846   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5847   *bs = mat->rmap->bs;
5848   PetscFunctionReturn(0);
5849 }
5850 
5851 #undef __FUNCT__
5852 #define __FUNCT__ "MatSetBlockSize"
5853 /*@
5854    MatSetBlockSize - Sets the matrix block size; for many matrix types you
5855      cannot use this and MUST set the blocksize when you preallocate the matrix
5856 
5857    Collective on Mat
5858 
5859    Input Parameters:
5860 +  mat - the matrix
5861 -  bs - block size
5862 
5863    Notes:
5864      Only works for shell and AIJ matrices
5865 
5866    Level: intermediate
5867 
5868    Concepts: matrices^block size
5869 
5870 .seealso: MatCreateSeqBAIJ(), MatCreateMPIBAIJ(), MatGetBlockSize()
5871 @*/
5872 PetscErrorCode PETSCMAT_DLLEXPORT MatSetBlockSize(Mat mat,PetscInt bs)
5873 {
5874   PetscErrorCode ierr;
5875 
5876   PetscFunctionBegin;
5877   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5878   PetscValidType(mat,1);
5879   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5880   if (mat->ops->setblocksize) {
5881     /* XXX should check if (bs < 1) ??? */
5882     ierr = PetscMapSetBlockSize(mat->rmap,bs);CHKERRQ(ierr);
5883     ierr = PetscMapSetBlockSize(mat->cmap,bs);CHKERRQ(ierr);
5884     ierr = (*mat->ops->setblocksize)(mat,bs);CHKERRQ(ierr);
5885   } else {
5886     SETERRQ1(PETSC_ERR_ARG_INCOMP,"Cannot set the blocksize for matrix type %s",((PetscObject)mat)->type_name);
5887   }
5888   PetscFunctionReturn(0);
5889 }
5890 
5891 #undef __FUNCT__
5892 #define __FUNCT__ "MatGetRowIJ"
5893 /*@C
5894     MatGetRowIJ - Returns the compressed row storage i and j indices for sequential matrices.
5895 
5896    Collective on Mat
5897 
5898     Input Parameters:
5899 +   mat - the matrix
5900 .   shift -  0 or 1 indicating we want the indices starting at 0 or 1
5901 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
5902                 symmetrized
5903 -   blockcompressed - PETSC_TRUE or PETSC_FALSE  indicating if the nonzero structure of the
5904                  blockcompressed matrix is desired or not [inode, baij have blockcompressed
5905                  nonzero structure which is different than the full nonzero structure]
5906 
5907     Output Parameters:
5908 +   n - number of rows in the (possibly compressed) matrix
5909 .   ia - the row pointers [of length n+1]
5910 .   ja - the column indices
5911 -   done - indicates if the routine actually worked and returned appropriate ia[] and ja[] arrays; callers
5912            are responsible for handling the case when done == PETSC_FALSE and ia and ja are not set
5913 
5914     Level: developer
5915 
5916     Notes: You CANNOT change any of the ia[] or ja[] values.
5917 
5918            Use MatRestoreRowIJ() when you are finished accessing the ia[] and ja[] values
5919 
5920     Fortran Node
5921 
5922            In Fortran use
5923 $           PetscInt ia(1), ja(1)
5924 $           PetscOffset iia, jja
5925 $      call MatGetRowIJ(mat,shift,symmetric,blockcompressed,n,ia,iia,ja,jja,done,ierr)
5926 
5927        Acess the ith and jth entries via ia(iia + i) and ja(jja + j)
5928 
5929 .seealso: MatGetColumnIJ(), MatRestoreRowIJ(), MatGetArray()
5930 @*/
5931 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth blockcompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
5932 {
5933   PetscErrorCode ierr;
5934 
5935   PetscFunctionBegin;
5936   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5937   PetscValidType(mat,1);
5938   PetscValidIntPointer(n,4);
5939   if (ia) PetscValidIntPointer(ia,5);
5940   if (ja) PetscValidIntPointer(ja,6);
5941   PetscValidIntPointer(done,7);
5942   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5943   if (!mat->ops->getrowij) *done = PETSC_FALSE;
5944   else {
5945     *done = PETSC_TRUE;
5946     ierr = PetscLogEventBegin(MAT_GetRowIJ,mat,0,0,0);CHKERRQ(ierr);
5947     ierr  = (*mat->ops->getrowij)(mat,shift,symmetric,blockcompressed,n,ia,ja,done);CHKERRQ(ierr);
5948     ierr = PetscLogEventEnd(MAT_GetRowIJ,mat,0,0,0);CHKERRQ(ierr);
5949   }
5950   PetscFunctionReturn(0);
5951 }
5952 
5953 #undef __FUNCT__
5954 #define __FUNCT__ "MatGetColumnIJ"
5955 /*@C
5956     MatGetColumnIJ - Returns the compressed column storage i and j indices for sequential matrices.
5957 
5958     Collective on Mat
5959 
5960     Input Parameters:
5961 +   mat - the matrix
5962 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
5963 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
5964                 symmetrized
5965 -   blockcompressed - PETSC_TRUE or PETSC_FALSE  indicating if the nonzero structure of the
5966                  blockcompressed matrix is desired or not [inode, baij have blockcompressed
5967                  nonzero structure which is different than the full nonzero structure]
5968 
5969     Output Parameters:
5970 +   n - number of columns in the (possibly compressed) matrix
5971 .   ia - the column pointers
5972 .   ja - the row indices
5973 -   done - PETSC_TRUE or PETSC_FALSE, indicating whether the values have been returned
5974 
5975     Level: developer
5976 
5977 .seealso: MatGetRowIJ(), MatRestoreColumnIJ()
5978 @*/
5979 PetscErrorCode PETSCMAT_DLLEXPORT MatGetColumnIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth blockcompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
5980 {
5981   PetscErrorCode ierr;
5982 
5983   PetscFunctionBegin;
5984   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5985   PetscValidType(mat,1);
5986   PetscValidIntPointer(n,4);
5987   if (ia) PetscValidIntPointer(ia,5);
5988   if (ja) PetscValidIntPointer(ja,6);
5989   PetscValidIntPointer(done,7);
5990   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5991   if (!mat->ops->getcolumnij) *done = PETSC_FALSE;
5992   else {
5993     *done = PETSC_TRUE;
5994     ierr  = (*mat->ops->getcolumnij)(mat,shift,symmetric,blockcompressed,n,ia,ja,done);CHKERRQ(ierr);
5995   }
5996   PetscFunctionReturn(0);
5997 }
5998 
5999 #undef __FUNCT__
6000 #define __FUNCT__ "MatRestoreRowIJ"
6001 /*@C
6002     MatRestoreRowIJ - Call after you are completed with the ia,ja indices obtained with
6003     MatGetRowIJ().
6004 
6005     Collective on Mat
6006 
6007     Input Parameters:
6008 +   mat - the matrix
6009 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
6010 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
6011                 symmetrized
6012 -   blockcompressed - PETSC_TRUE or PETSC_FALSE  indicating if the nonzero structure of the
6013                  blockcompressed matrix is desired or not [inode, baij have blockcompressed
6014                  nonzero structure which is different than the full nonzero structure]
6015 
6016     Output Parameters:
6017 +   n - size of (possibly compressed) matrix
6018 .   ia - the row pointers
6019 .   ja - the column indices
6020 -   done - PETSC_TRUE or PETSC_FALSE indicated that the values have been returned
6021 
6022     Level: developer
6023 
6024 .seealso: MatGetRowIJ(), MatRestoreColumnIJ()
6025 @*/
6026 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRowIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth blockcompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
6027 {
6028   PetscErrorCode ierr;
6029 
6030   PetscFunctionBegin;
6031   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6032   PetscValidType(mat,1);
6033   if (ia) PetscValidIntPointer(ia,5);
6034   if (ja) PetscValidIntPointer(ja,6);
6035   PetscValidIntPointer(done,7);
6036   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6037 
6038   if (!mat->ops->restorerowij) *done = PETSC_FALSE;
6039   else {
6040     *done = PETSC_TRUE;
6041     ierr  = (*mat->ops->restorerowij)(mat,shift,symmetric,blockcompressed,n,ia,ja,done);CHKERRQ(ierr);
6042   }
6043   PetscFunctionReturn(0);
6044 }
6045 
6046 #undef __FUNCT__
6047 #define __FUNCT__ "MatRestoreColumnIJ"
6048 /*@C
6049     MatRestoreColumnIJ - Call after you are completed with the ia,ja indices obtained with
6050     MatGetColumnIJ().
6051 
6052     Collective on Mat
6053 
6054     Input Parameters:
6055 +   mat - the matrix
6056 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
6057 -   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
6058                 symmetrized
6059 -   blockcompressed - PETSC_TRUE or PETSC_FALSE  indicating if the nonzero structure of the
6060                  blockcompressed matrix is desired or not [inode, baij have blockcompressed
6061                  nonzero structure which is different than the full nonzero structure]
6062 
6063     Output Parameters:
6064 +   n - size of (possibly compressed) matrix
6065 .   ia - the column pointers
6066 .   ja - the row indices
6067 -   done - PETSC_TRUE or PETSC_FALSE indicated that the values have been returned
6068 
6069     Level: developer
6070 
6071 .seealso: MatGetColumnIJ(), MatRestoreRowIJ()
6072 @*/
6073 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreColumnIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth blockcompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
6074 {
6075   PetscErrorCode ierr;
6076 
6077   PetscFunctionBegin;
6078   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6079   PetscValidType(mat,1);
6080   if (ia) PetscValidIntPointer(ia,5);
6081   if (ja) PetscValidIntPointer(ja,6);
6082   PetscValidIntPointer(done,7);
6083   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6084 
6085   if (!mat->ops->restorecolumnij) *done = PETSC_FALSE;
6086   else {
6087     *done = PETSC_TRUE;
6088     ierr  = (*mat->ops->restorecolumnij)(mat,shift,symmetric,blockcompressed,n,ia,ja,done);CHKERRQ(ierr);
6089   }
6090   PetscFunctionReturn(0);
6091 }
6092 
6093 #undef __FUNCT__
6094 #define __FUNCT__ "MatColoringPatch"
6095 /*@C
6096     MatColoringPatch -Used inside matrix coloring routines that
6097     use MatGetRowIJ() and/or MatGetColumnIJ().
6098 
6099     Collective on Mat
6100 
6101     Input Parameters:
6102 +   mat - the matrix
6103 .   ncolors - max color value
6104 .   n   - number of entries in colorarray
6105 -   colorarray - array indicating color for each column
6106 
6107     Output Parameters:
6108 .   iscoloring - coloring generated using colorarray information
6109 
6110     Level: developer
6111 
6112 .seealso: MatGetRowIJ(), MatGetColumnIJ()
6113 
6114 @*/
6115 PetscErrorCode PETSCMAT_DLLEXPORT MatColoringPatch(Mat mat,PetscInt ncolors,PetscInt n,ISColoringValue colorarray[],ISColoring *iscoloring)
6116 {
6117   PetscErrorCode ierr;
6118 
6119   PetscFunctionBegin;
6120   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6121   PetscValidType(mat,1);
6122   PetscValidIntPointer(colorarray,4);
6123   PetscValidPointer(iscoloring,5);
6124   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6125 
6126   if (!mat->ops->coloringpatch){
6127     ierr = ISColoringCreate(((PetscObject)mat)->comm,ncolors,n,colorarray,iscoloring);CHKERRQ(ierr);
6128   } else {
6129     ierr = (*mat->ops->coloringpatch)(mat,ncolors,n,colorarray,iscoloring);CHKERRQ(ierr);
6130   }
6131   PetscFunctionReturn(0);
6132 }
6133 
6134 
6135 #undef __FUNCT__
6136 #define __FUNCT__ "MatSetUnfactored"
6137 /*@
6138    MatSetUnfactored - Resets a factored matrix to be treated as unfactored.
6139 
6140    Collective on Mat
6141 
6142    Input Parameter:
6143 .  mat - the factored matrix to be reset
6144 
6145    Notes:
6146    This routine should be used only with factored matrices formed by in-place
6147    factorization via ILU(0) (or by in-place LU factorization for the MATSEQDENSE
6148    format).  This option can save memory, for example, when solving nonlinear
6149    systems with a matrix-free Newton-Krylov method and a matrix-based, in-place
6150    ILU(0) preconditioner.
6151 
6152    Note that one can specify in-place ILU(0) factorization by calling
6153 .vb
6154      PCType(pc,PCILU);
6155      PCFactorSeUseInPlace(pc);
6156 .ve
6157    or by using the options -pc_type ilu -pc_factor_in_place
6158 
6159    In-place factorization ILU(0) can also be used as a local
6160    solver for the blocks within the block Jacobi or additive Schwarz
6161    methods (runtime option: -sub_pc_factor_in_place).  See the discussion
6162    of these preconditioners in the users manual for details on setting
6163    local solver options.
6164 
6165    Most users should employ the simplified KSP interface for linear solvers
6166    instead of working directly with matrix algebra routines such as this.
6167    See, e.g., KSPCreate().
6168 
6169    Level: developer
6170 
6171 .seealso: PCFactorSetUseInPlace()
6172 
6173    Concepts: matrices^unfactored
6174 
6175 @*/
6176 PetscErrorCode PETSCMAT_DLLEXPORT MatSetUnfactored(Mat mat)
6177 {
6178   PetscErrorCode ierr;
6179 
6180   PetscFunctionBegin;
6181   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6182   PetscValidType(mat,1);
6183   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6184   mat->factor = MAT_FACTOR_NONE;
6185   if (!mat->ops->setunfactored) PetscFunctionReturn(0);
6186   ierr = (*mat->ops->setunfactored)(mat);CHKERRQ(ierr);
6187   PetscFunctionReturn(0);
6188 }
6189 
6190 /*MC
6191     MatGetArrayF90 - Accesses a matrix array from Fortran90.
6192 
6193     Synopsis:
6194     MatGetArrayF90(Mat x,{Scalar, pointer :: xx_v(:)},integer ierr)
6195 
6196     Not collective
6197 
6198     Input Parameter:
6199 .   x - matrix
6200 
6201     Output Parameters:
6202 +   xx_v - the Fortran90 pointer to the array
6203 -   ierr - error code
6204 
6205     Example of Usage:
6206 .vb
6207       PetscScalar, pointer xx_v(:)
6208       ....
6209       call MatGetArrayF90(x,xx_v,ierr)
6210       a = xx_v(3)
6211       call MatRestoreArrayF90(x,xx_v,ierr)
6212 .ve
6213 
6214     Notes:
6215     Not yet supported for all F90 compilers
6216 
6217     Level: advanced
6218 
6219 .seealso:  MatRestoreArrayF90(), MatGetArray(), MatRestoreArray()
6220 
6221     Concepts: matrices^accessing array
6222 
6223 M*/
6224 
6225 /*MC
6226     MatRestoreArrayF90 - Restores a matrix array that has been
6227     accessed with MatGetArrayF90().
6228 
6229     Synopsis:
6230     MatRestoreArrayF90(Mat x,{Scalar, pointer :: xx_v(:)},integer ierr)
6231 
6232     Not collective
6233 
6234     Input Parameters:
6235 +   x - matrix
6236 -   xx_v - the Fortran90 pointer to the array
6237 
6238     Output Parameter:
6239 .   ierr - error code
6240 
6241     Example of Usage:
6242 .vb
6243        PetscScalar, pointer xx_v(:)
6244        ....
6245        call MatGetArrayF90(x,xx_v,ierr)
6246        a = xx_v(3)
6247        call MatRestoreArrayF90(x,xx_v,ierr)
6248 .ve
6249 
6250     Notes:
6251     Not yet supported for all F90 compilers
6252 
6253     Level: advanced
6254 
6255 .seealso:  MatGetArrayF90(), MatGetArray(), MatRestoreArray()
6256 
6257 M*/
6258 
6259 
6260 #undef __FUNCT__
6261 #define __FUNCT__ "MatGetSubMatrix"
6262 /*@
6263     MatGetSubMatrix - Gets a single submatrix on the same number of processors
6264                       as the original matrix.
6265 
6266     Collective on Mat
6267 
6268     Input Parameters:
6269 +   mat - the original matrix
6270 .   isrow - parallel IS containing the rows this processor should obtain
6271 .   iscol - parallel IS containing all columns you wish to keep
6272 -   cll - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
6273 
6274     Output Parameter:
6275 .   newmat - the new submatrix, of the same type as the old
6276 
6277     Level: advanced
6278 
6279     Notes:
6280     The submatrix will be able to be multiplied with vectors using the same layout as iscol.
6281 
6282     The rows is isrow will be sorted into the same order as the original matrix.
6283 
6284       The first time this is called you should use a cll of MAT_INITIAL_MATRIX,
6285    the MatGetSubMatrix() routine will create the newmat for you. Any additional calls
6286    to this routine with a mat of the same nonzero structure and with a call of MAT_REUSE_MATRIX
6287    will reuse the matrix generated the first time.  You should call MatDestroy() on newmat when
6288    you are finished using it.
6289 
6290     The communicator of the newly obtained matrix is ALWAYS the same as the communicator of
6291     the input matrix.
6292 
6293     If iscol is PETSC_NULL then all columns are obtained (not supported in Fortran).
6294 
6295    Example usage:
6296    Consider the following 8x8 matrix with 34 non-zero values, that is
6297    assembled across 3 processors. Lets assume that proc0 owns 3 rows,
6298    proc1 owns 3 rows, proc2 owns 2 rows. This division can be shown
6299    as follows:
6300 
6301 .vb
6302             1  2  0  |  0  3  0  |  0  4
6303     Proc0   0  5  6  |  7  0  0  |  8  0
6304             9  0 10  | 11  0  0  | 12  0
6305     -------------------------------------
6306            13  0 14  | 15 16 17  |  0  0
6307     Proc1   0 18  0  | 19 20 21  |  0  0
6308             0  0  0  | 22 23  0  | 24  0
6309     -------------------------------------
6310     Proc2  25 26 27  |  0  0 28  | 29  0
6311            30  0  0  | 31 32 33  |  0 34
6312 .ve
6313 
6314     Suppose isrow = [0 1 | 4 | 5 6] and iscol = [1 2 | 3 4 5 | 6].  The resulting submatrix is
6315 
6316 .vb
6317             2  0  |  0  3  0  |  0
6318     Proc0   5  6  |  7  0  0  |  8
6319     -------------------------------
6320     Proc1  18  0  | 19 20 21  |  0
6321     -------------------------------
6322     Proc2  26 27  |  0  0 28  | 29
6323             0  0  | 31 32 33  |  0
6324 .ve
6325 
6326 
6327     Concepts: matrices^submatrices
6328 
6329 .seealso: MatGetSubMatrices(), ISAllGather()
6330 @*/
6331 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat)
6332 {
6333   PetscErrorCode ierr;
6334   PetscMPIInt    size;
6335   Mat            *local;
6336   IS             iscoltmp;
6337 
6338   PetscFunctionBegin;
6339   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6340   PetscValidHeaderSpecific(isrow,IS_COOKIE,2);
6341   if (iscol) PetscValidHeaderSpecific(iscol,IS_COOKIE,3);
6342   PetscValidPointer(newmat,6);
6343   if (cll == MAT_REUSE_MATRIX) PetscValidHeaderSpecific(*newmat,MAT_COOKIE,6);
6344   PetscValidType(mat,1);
6345   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6346   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6347   ierr = MPI_Comm_size(((PetscObject)mat)->comm,&size);CHKERRQ(ierr);
6348 
6349   if (!iscol) {
6350     ierr = ISCreateStride(((PetscObject)mat)->comm,mat->cmap->n,mat->cmap->rstart,1,&iscoltmp);CHKERRQ(ierr);
6351   } else {
6352     iscoltmp = iscol;
6353   }
6354 
6355   /* if original matrix is on just one processor then use submatrix generated */
6356   if (!mat->ops->getsubmatrix && size == 1 && cll == MAT_REUSE_MATRIX) {
6357     ierr = MatGetSubMatrices(mat,1,&isrow,&iscoltmp,MAT_REUSE_MATRIX,&newmat);CHKERRQ(ierr);
6358     if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6359     PetscFunctionReturn(0);
6360   } else if (!mat->ops->getsubmatrix && size == 1) {
6361     ierr    = MatGetSubMatrices(mat,1,&isrow,&iscoltmp,MAT_INITIAL_MATRIX,&local);CHKERRQ(ierr);
6362     *newmat = *local;
6363     ierr    = PetscFree(local);CHKERRQ(ierr);
6364     if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6365     PetscFunctionReturn(0);
6366   }
6367 
6368   if (!mat->ops->getsubmatrix) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6369   ierr = (*mat->ops->getsubmatrix)(mat,isrow,iscoltmp,cll,newmat);CHKERRQ(ierr);
6370   if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6371   ierr = PetscObjectStateIncrease((PetscObject)*newmat);CHKERRQ(ierr);
6372   PetscFunctionReturn(0);
6373 }
6374 
6375 #undef __FUNCT__
6376 #define __FUNCT__ "MatStashSetInitialSize"
6377 /*@
6378    MatStashSetInitialSize - sets the sizes of the matrix stash, that is
6379    used during the assembly process to store values that belong to
6380    other processors.
6381 
6382    Not Collective
6383 
6384    Input Parameters:
6385 +  mat   - the matrix
6386 .  size  - the initial size of the stash.
6387 -  bsize - the initial size of the block-stash(if used).
6388 
6389    Options Database Keys:
6390 +   -matstash_initial_size <size> or <size0,size1,...sizep-1>
6391 -   -matstash_block_initial_size <bsize>  or <bsize0,bsize1,...bsizep-1>
6392 
6393    Level: intermediate
6394 
6395    Notes:
6396      The block-stash is used for values set with MatSetValuesBlocked() while
6397      the stash is used for values set with MatSetValues()
6398 
6399      Run with the option -info and look for output of the form
6400      MatAssemblyBegin_MPIXXX:Stash has MM entries, uses nn mallocs.
6401      to determine the appropriate value, MM, to use for size and
6402      MatAssemblyBegin_MPIXXX:Block-Stash has BMM entries, uses nn mallocs.
6403      to determine the value, BMM to use for bsize
6404 
6405    Concepts: stash^setting matrix size
6406    Concepts: matrices^stash
6407 
6408 .seealso: MatAssemblyBegin(), MatAssemblyEnd(), Mat, MatStashGetInfo()
6409 
6410 @*/
6411 PetscErrorCode PETSCMAT_DLLEXPORT MatStashSetInitialSize(Mat mat,PetscInt size, PetscInt bsize)
6412 {
6413   PetscErrorCode ierr;
6414 
6415   PetscFunctionBegin;
6416   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6417   PetscValidType(mat,1);
6418   ierr = MatStashSetInitialSize_Private(&mat->stash,size);CHKERRQ(ierr);
6419   ierr = MatStashSetInitialSize_Private(&mat->bstash,bsize);CHKERRQ(ierr);
6420   PetscFunctionReturn(0);
6421 }
6422 
6423 #undef __FUNCT__
6424 #define __FUNCT__ "MatInterpolateAdd"
6425 /*@
6426    MatInterpolateAdd - w = y + A*x or A'*x depending on the shape of
6427      the matrix
6428 
6429    Collective on Mat
6430 
6431    Input Parameters:
6432 +  mat   - the matrix
6433 .  x,y - the vectors
6434 -  w - where the result is stored
6435 
6436    Level: intermediate
6437 
6438    Notes:
6439     w may be the same vector as y.
6440 
6441     This allows one to use either the restriction or interpolation (its transpose)
6442     matrix to do the interpolation
6443 
6444     Concepts: interpolation
6445 
6446 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatRestrict()
6447 
6448 @*/
6449 PetscErrorCode PETSCMAT_DLLEXPORT MatInterpolateAdd(Mat A,Vec x,Vec y,Vec w)
6450 {
6451   PetscErrorCode ierr;
6452   PetscInt       M,N;
6453 
6454   PetscFunctionBegin;
6455   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6456   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
6457   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
6458   PetscValidHeaderSpecific(w,VEC_COOKIE,4);
6459   PetscValidType(A,1);
6460   ierr = MatPreallocated(A);CHKERRQ(ierr);
6461   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
6462   if (N > M) {
6463     ierr = MatMultTransposeAdd(A,x,y,w);CHKERRQ(ierr);
6464   } else {
6465     ierr = MatMultAdd(A,x,y,w);CHKERRQ(ierr);
6466   }
6467   PetscFunctionReturn(0);
6468 }
6469 
6470 #undef __FUNCT__
6471 #define __FUNCT__ "MatInterpolate"
6472 /*@
6473    MatInterpolate - y = A*x or A'*x depending on the shape of
6474      the matrix
6475 
6476    Collective on Mat
6477 
6478    Input Parameters:
6479 +  mat   - the matrix
6480 -  x,y - the vectors
6481 
6482    Level: intermediate
6483 
6484    Notes:
6485     This allows one to use either the restriction or interpolation (its transpose)
6486     matrix to do the interpolation
6487 
6488    Concepts: matrices^interpolation
6489 
6490 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatRestrict()
6491 
6492 @*/
6493 PetscErrorCode PETSCMAT_DLLEXPORT MatInterpolate(Mat A,Vec x,Vec y)
6494 {
6495   PetscErrorCode ierr;
6496   PetscInt       M,N;
6497 
6498   PetscFunctionBegin;
6499   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6500   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
6501   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
6502   PetscValidType(A,1);
6503   ierr = MatPreallocated(A);CHKERRQ(ierr);
6504   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
6505   if (N > M) {
6506     ierr = MatMultTranspose(A,x,y);CHKERRQ(ierr);
6507   } else {
6508     ierr = MatMult(A,x,y);CHKERRQ(ierr);
6509   }
6510   PetscFunctionReturn(0);
6511 }
6512 
6513 #undef __FUNCT__
6514 #define __FUNCT__ "MatRestrict"
6515 /*@
6516    MatRestrict - y = A*x or A'*x
6517 
6518    Collective on Mat
6519 
6520    Input Parameters:
6521 +  mat   - the matrix
6522 -  x,y - the vectors
6523 
6524    Level: intermediate
6525 
6526    Notes:
6527     This allows one to use either the restriction or interpolation (its transpose)
6528     matrix to do the restriction
6529 
6530    Concepts: matrices^restriction
6531 
6532 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatInterpolate()
6533 
6534 @*/
6535 PetscErrorCode PETSCMAT_DLLEXPORT MatRestrict(Mat A,Vec x,Vec y)
6536 {
6537   PetscErrorCode ierr;
6538   PetscInt       M,N;
6539 
6540   PetscFunctionBegin;
6541   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6542   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
6543   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
6544   PetscValidType(A,1);
6545   ierr = MatPreallocated(A);CHKERRQ(ierr);
6546 
6547   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
6548   if (N > M) {
6549     ierr = MatMult(A,x,y);CHKERRQ(ierr);
6550   } else {
6551     ierr = MatMultTranspose(A,x,y);CHKERRQ(ierr);
6552   }
6553   PetscFunctionReturn(0);
6554 }
6555 
6556 #undef __FUNCT__
6557 #define __FUNCT__ "MatNullSpaceAttach"
6558 /*@
6559    MatNullSpaceAttach - attaches a null space to a matrix.
6560         This null space will be removed from the resulting vector whenever
6561         MatMult() is called
6562 
6563    Collective on Mat
6564 
6565    Input Parameters:
6566 +  mat - the matrix
6567 -  nullsp - the null space object
6568 
6569    Level: developer
6570 
6571    Notes:
6572       Overwrites any previous null space that may have been attached
6573 
6574    Concepts: null space^attaching to matrix
6575 
6576 .seealso: MatCreate(), MatNullSpaceCreate()
6577 @*/
6578 PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceAttach(Mat mat,MatNullSpace nullsp)
6579 {
6580   PetscErrorCode ierr;
6581 
6582   PetscFunctionBegin;
6583   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6584   PetscValidType(mat,1);
6585   PetscValidHeaderSpecific(nullsp,MAT_NULLSPACE_COOKIE,2);
6586   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6587   ierr = PetscObjectReference((PetscObject)nullsp);CHKERRQ(ierr);
6588   if (mat->nullsp) { ierr = MatNullSpaceDestroy(mat->nullsp);CHKERRQ(ierr); }
6589   mat->nullsp = nullsp;
6590   PetscFunctionReturn(0);
6591 }
6592 
6593 #undef __FUNCT__
6594 #define __FUNCT__ "MatICCFactor"
6595 /*@
6596    MatICCFactor - Performs in-place incomplete Cholesky factorization of matrix.
6597 
6598    Collective on Mat
6599 
6600    Input Parameters:
6601 +  mat - the matrix
6602 .  row - row/column permutation
6603 .  fill - expected fill factor >= 1.0
6604 -  level - level of fill, for ICC(k)
6605 
6606    Notes:
6607    Probably really in-place only when level of fill is zero, otherwise allocates
6608    new space to store factored matrix and deletes previous memory.
6609 
6610    Most users should employ the simplified KSP interface for linear solvers
6611    instead of working directly with matrix algebra routines such as this.
6612    See, e.g., KSPCreate().
6613 
6614    Level: developer
6615 
6616    Concepts: matrices^incomplete Cholesky factorization
6617    Concepts: Cholesky factorization
6618 
6619 .seealso: MatICCFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor()
6620 @*/
6621 PetscErrorCode PETSCMAT_DLLEXPORT MatICCFactor(Mat mat,IS row,const MatFactorInfo* info)
6622 {
6623   PetscErrorCode ierr;
6624 
6625   PetscFunctionBegin;
6626   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6627   PetscValidType(mat,1);
6628   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
6629   PetscValidPointer(info,3);
6630   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
6631   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6632   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6633   if (!mat->ops->iccfactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6634   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6635   ierr = (*mat->ops->iccfactor)(mat,row,info);CHKERRQ(ierr);
6636   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6637   PetscFunctionReturn(0);
6638 }
6639 
6640 #undef __FUNCT__
6641 #define __FUNCT__ "MatSetValuesAdic"
6642 /*@
6643    MatSetValuesAdic - Sets values computed with ADIC automatic differentiation into a matrix.
6644 
6645    Not Collective
6646 
6647    Input Parameters:
6648 +  mat - the matrix
6649 -  v - the values compute with ADIC
6650 
6651    Level: developer
6652 
6653    Notes:
6654      Must call MatSetColoring() before using this routine. Also this matrix must already
6655      have its nonzero pattern determined.
6656 
6657 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
6658           MatSetValues(), MatSetColoring(), MatSetValuesAdifor()
6659 @*/
6660 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesAdic(Mat mat,void *v)
6661 {
6662   PetscErrorCode ierr;
6663 
6664   PetscFunctionBegin;
6665   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6666   PetscValidType(mat,1);
6667   PetscValidPointer(mat,2);
6668 
6669   if (!mat->assembled) {
6670     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6671   }
6672   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6673   if (!mat->ops->setvaluesadic) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6674   ierr = (*mat->ops->setvaluesadic)(mat,v);CHKERRQ(ierr);
6675   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6676   ierr = MatView_Private(mat);CHKERRQ(ierr);
6677   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6678   PetscFunctionReturn(0);
6679 }
6680 
6681 
6682 #undef __FUNCT__
6683 #define __FUNCT__ "MatSetColoring"
6684 /*@
6685    MatSetColoring - Sets a coloring used by calls to MatSetValuesAdic()
6686 
6687    Not Collective
6688 
6689    Input Parameters:
6690 +  mat - the matrix
6691 -  coloring - the coloring
6692 
6693    Level: developer
6694 
6695 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
6696           MatSetValues(), MatSetValuesAdic()
6697 @*/
6698 PetscErrorCode PETSCMAT_DLLEXPORT MatSetColoring(Mat mat,ISColoring coloring)
6699 {
6700   PetscErrorCode ierr;
6701 
6702   PetscFunctionBegin;
6703   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6704   PetscValidType(mat,1);
6705   PetscValidPointer(coloring,2);
6706 
6707   if (!mat->assembled) {
6708     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6709   }
6710   if (!mat->ops->setcoloring) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6711   ierr = (*mat->ops->setcoloring)(mat,coloring);CHKERRQ(ierr);
6712   PetscFunctionReturn(0);
6713 }
6714 
6715 #undef __FUNCT__
6716 #define __FUNCT__ "MatSetValuesAdifor"
6717 /*@
6718    MatSetValuesAdifor - Sets values computed with automatic differentiation into a matrix.
6719 
6720    Not Collective
6721 
6722    Input Parameters:
6723 +  mat - the matrix
6724 .  nl - leading dimension of v
6725 -  v - the values compute with ADIFOR
6726 
6727    Level: developer
6728 
6729    Notes:
6730      Must call MatSetColoring() before using this routine. Also this matrix must already
6731      have its nonzero pattern determined.
6732 
6733 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
6734           MatSetValues(), MatSetColoring()
6735 @*/
6736 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesAdifor(Mat mat,PetscInt nl,void *v)
6737 {
6738   PetscErrorCode ierr;
6739 
6740   PetscFunctionBegin;
6741   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6742   PetscValidType(mat,1);
6743   PetscValidPointer(v,3);
6744 
6745   if (!mat->assembled) {
6746     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6747   }
6748   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6749   if (!mat->ops->setvaluesadifor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6750   ierr = (*mat->ops->setvaluesadifor)(mat,nl,v);CHKERRQ(ierr);
6751   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6752   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6753   PetscFunctionReturn(0);
6754 }
6755 
6756 #undef __FUNCT__
6757 #define __FUNCT__ "MatDiagonalScaleLocal"
6758 /*@
6759    MatDiagonalScaleLocal - Scales columns of a matrix given the scaling values including the
6760          ghosted ones.
6761 
6762    Not Collective
6763 
6764    Input Parameters:
6765 +  mat - the matrix
6766 -  diag = the diagonal values, including ghost ones
6767 
6768    Level: developer
6769 
6770    Notes: Works only for MPIAIJ and MPIBAIJ matrices
6771 
6772 .seealso: MatDiagonalScale()
6773 @*/
6774 PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalScaleLocal(Mat mat,Vec diag)
6775 {
6776   PetscErrorCode ierr;
6777   PetscMPIInt    size;
6778 
6779   PetscFunctionBegin;
6780   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6781   PetscValidHeaderSpecific(diag,VEC_COOKIE,2);
6782   PetscValidType(mat,1);
6783 
6784   if (!mat->assembled) {
6785     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6786   }
6787   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
6788   ierr = MPI_Comm_size(((PetscObject)mat)->comm,&size);CHKERRQ(ierr);
6789   if (size == 1) {
6790     PetscInt n,m;
6791     ierr = VecGetSize(diag,&n);CHKERRQ(ierr);
6792     ierr = MatGetSize(mat,0,&m);CHKERRQ(ierr);
6793     if (m == n) {
6794       ierr = MatDiagonalScale(mat,0,diag);CHKERRQ(ierr);
6795     } else {
6796       SETERRQ(PETSC_ERR_SUP,"Only supported for sequential matrices when no ghost points/periodic conditions");
6797     }
6798   } else {
6799     PetscErrorCode (*f)(Mat,Vec);
6800     ierr = PetscObjectQueryFunction((PetscObject)mat,"MatDiagonalScaleLocal_C",(void (**)(void))&f);CHKERRQ(ierr);
6801     if (f) {
6802       ierr = (*f)(mat,diag);CHKERRQ(ierr);
6803     } else {
6804       SETERRQ(PETSC_ERR_SUP,"Only supported for MPIAIJ and MPIBAIJ parallel matrices");
6805     }
6806   }
6807   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
6808   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6809   PetscFunctionReturn(0);
6810 }
6811 
6812 #undef __FUNCT__
6813 #define __FUNCT__ "MatGetInertia"
6814 /*@
6815    MatGetInertia - Gets the inertia from a factored matrix
6816 
6817    Collective on Mat
6818 
6819    Input Parameter:
6820 .  mat - the matrix
6821 
6822    Output Parameters:
6823 +   nneg - number of negative eigenvalues
6824 .   nzero - number of zero eigenvalues
6825 -   npos - number of positive eigenvalues
6826 
6827    Level: advanced
6828 
6829    Notes: Matrix must have been factored by MatCholeskyFactor()
6830 
6831 
6832 @*/
6833 PetscErrorCode PETSCMAT_DLLEXPORT MatGetInertia(Mat mat,PetscInt *nneg,PetscInt *nzero,PetscInt *npos)
6834 {
6835   PetscErrorCode ierr;
6836 
6837   PetscFunctionBegin;
6838   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6839   PetscValidType(mat,1);
6840   if (!mat->factor)    SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
6841   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Numeric factor mat is not assembled");
6842   if (!mat->ops->getinertia) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6843   ierr = (*mat->ops->getinertia)(mat,nneg,nzero,npos);CHKERRQ(ierr);
6844   PetscFunctionReturn(0);
6845 }
6846 
6847 /* ----------------------------------------------------------------*/
6848 #undef __FUNCT__
6849 #define __FUNCT__ "MatSolves"
6850 /*@C
6851    MatSolves - Solves A x = b, given a factored matrix, for a collection of vectors
6852 
6853    Collective on Mat and Vecs
6854 
6855    Input Parameters:
6856 +  mat - the factored matrix
6857 -  b - the right-hand-side vectors
6858 
6859    Output Parameter:
6860 .  x - the result vectors
6861 
6862    Notes:
6863    The vectors b and x cannot be the same.  I.e., one cannot
6864    call MatSolves(A,x,x).
6865 
6866    Notes:
6867    Most users should employ the simplified KSP interface for linear solvers
6868    instead of working directly with matrix algebra routines such as this.
6869    See, e.g., KSPCreate().
6870 
6871    Level: developer
6872 
6873    Concepts: matrices^triangular solves
6874 
6875 .seealso: MatSolveAdd(), MatSolveTranspose(), MatSolveTransposeAdd(), MatSolve()
6876 @*/
6877 PetscErrorCode PETSCMAT_DLLEXPORT MatSolves(Mat mat,Vecs b,Vecs x)
6878 {
6879   PetscErrorCode ierr;
6880 
6881   PetscFunctionBegin;
6882   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6883   PetscValidType(mat,1);
6884   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
6885   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
6886   if (!mat->rmap->N && !mat->cmap->N) PetscFunctionReturn(0);
6887 
6888   if (!mat->ops->solves) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6889   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6890   ierr = PetscLogEventBegin(MAT_Solves,mat,0,0,0);CHKERRQ(ierr);
6891   ierr = (*mat->ops->solves)(mat,b,x);CHKERRQ(ierr);
6892   ierr = PetscLogEventEnd(MAT_Solves,mat,0,0,0);CHKERRQ(ierr);
6893   PetscFunctionReturn(0);
6894 }
6895 
6896 #undef __FUNCT__
6897 #define __FUNCT__ "MatIsSymmetric"
6898 /*@
6899    MatIsSymmetric - Test whether a matrix is symmetric
6900 
6901    Collective on Mat
6902 
6903    Input Parameter:
6904 +  A - the matrix to test
6905 -  tol - difference between value and its transpose less than this amount counts as equal (use 0.0 for exact transpose)
6906 
6907    Output Parameters:
6908 .  flg - the result
6909 
6910    Level: intermediate
6911 
6912    Concepts: matrix^symmetry
6913 
6914 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetricKnown()
6915 @*/
6916 PetscErrorCode PETSCMAT_DLLEXPORT MatIsSymmetric(Mat A,PetscReal tol,PetscTruth *flg)
6917 {
6918   PetscErrorCode ierr;
6919 
6920   PetscFunctionBegin;
6921   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6922   PetscValidPointer(flg,2);
6923   if (!A->symmetric_set) {
6924     if (!A->ops->issymmetric) {
6925       const MatType mattype;
6926       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
6927       SETERRQ1(PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for symmetric",mattype);
6928     }
6929     ierr = (*A->ops->issymmetric)(A,tol,&A->symmetric);CHKERRQ(ierr);
6930     A->symmetric_set = PETSC_TRUE;
6931     if (A->symmetric) {
6932       A->structurally_symmetric_set = PETSC_TRUE;
6933       A->structurally_symmetric     = PETSC_TRUE;
6934     }
6935   }
6936   *flg = A->symmetric;
6937   PetscFunctionReturn(0);
6938 }
6939 
6940 #undef __FUNCT__
6941 #define __FUNCT__ "MatIsHermitian"
6942 /*@
6943    MatIsHermitian - Test whether a matrix is Hermitian
6944 
6945    Collective on Mat
6946 
6947    Input Parameter:
6948 +  A - the matrix to test
6949 -  tol - difference between value and its transpose less than this amount counts as equal (use 0.0 for exact Hermitian)
6950 
6951    Output Parameters:
6952 .  flg - the result
6953 
6954    Level: intermediate
6955 
6956    Concepts: matrix^symmetry
6957 
6958 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetricKnown()
6959 @*/
6960 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitian(Mat A,PetscReal tol,PetscTruth *flg)
6961 {
6962   PetscErrorCode ierr;
6963 
6964   PetscFunctionBegin;
6965   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6966   PetscValidPointer(flg,2);
6967   if (!A->hermitian_set) {
6968     if (!A->ops->ishermitian) {
6969       const MatType mattype;
6970       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
6971       SETERRQ1(PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for Hermitian",mattype);
6972     }
6973     ierr = (*A->ops->ishermitian)(A,tol,&A->hermitian);CHKERRQ(ierr);
6974     A->hermitian_set = PETSC_TRUE;
6975     if (A->hermitian) {
6976       A->structurally_symmetric_set = PETSC_TRUE;
6977       A->structurally_symmetric     = PETSC_TRUE;
6978     }
6979   }
6980   *flg = A->hermitian;
6981   PetscFunctionReturn(0);
6982 }
6983 
6984 #undef __FUNCT__
6985 #define __FUNCT__ "MatIsSymmetricKnown"
6986 /*@
6987    MatIsSymmetricKnown - Checks the flag on the matrix to see if it is symmetric.
6988 
6989    Collective on Mat
6990 
6991    Input Parameter:
6992 .  A - the matrix to check
6993 
6994    Output Parameters:
6995 +  set - if the symmetric flag is set (this tells you if the next flag is valid)
6996 -  flg - the result
6997 
6998    Level: advanced
6999 
7000    Concepts: matrix^symmetry
7001 
7002    Note: Does not check the matrix values directly, so this may return unknown (set = PETSC_FALSE). Use MatIsSymmetric()
7003          if you want it explicitly checked
7004 
7005 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetric()
7006 @*/
7007 PetscErrorCode PETSCMAT_DLLEXPORT MatIsSymmetricKnown(Mat A,PetscTruth *set,PetscTruth *flg)
7008 {
7009   PetscFunctionBegin;
7010   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7011   PetscValidPointer(set,2);
7012   PetscValidPointer(flg,3);
7013   if (A->symmetric_set) {
7014     *set = PETSC_TRUE;
7015     *flg = A->symmetric;
7016   } else {
7017     *set = PETSC_FALSE;
7018   }
7019   PetscFunctionReturn(0);
7020 }
7021 
7022 #undef __FUNCT__
7023 #define __FUNCT__ "MatIsHermitianKnown"
7024 /*@
7025    MatIsHermitianKnown - Checks the flag on the matrix to see if it is hermitian.
7026 
7027    Collective on Mat
7028 
7029    Input Parameter:
7030 .  A - the matrix to check
7031 
7032    Output Parameters:
7033 +  set - if the hermitian flag is set (this tells you if the next flag is valid)
7034 -  flg - the result
7035 
7036    Level: advanced
7037 
7038    Concepts: matrix^symmetry
7039 
7040    Note: Does not check the matrix values directly, so this may return unknown (set = PETSC_FALSE). Use MatIsHermitian()
7041          if you want it explicitly checked
7042 
7043 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetric()
7044 @*/
7045 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitianKnown(Mat A,PetscTruth *set,PetscTruth *flg)
7046 {
7047   PetscFunctionBegin;
7048   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7049   PetscValidPointer(set,2);
7050   PetscValidPointer(flg,3);
7051   if (A->hermitian_set) {
7052     *set = PETSC_TRUE;
7053     *flg = A->hermitian;
7054   } else {
7055     *set = PETSC_FALSE;
7056   }
7057   PetscFunctionReturn(0);
7058 }
7059 
7060 #undef __FUNCT__
7061 #define __FUNCT__ "MatIsStructurallySymmetric"
7062 /*@
7063    MatIsStructurallySymmetric - Test whether a matrix is structurally symmetric
7064 
7065    Collective on Mat
7066 
7067    Input Parameter:
7068 .  A - the matrix to test
7069 
7070    Output Parameters:
7071 .  flg - the result
7072 
7073    Level: intermediate
7074 
7075    Concepts: matrix^symmetry
7076 
7077 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsSymmetric(), MatSetOption()
7078 @*/
7079 PetscErrorCode PETSCMAT_DLLEXPORT MatIsStructurallySymmetric(Mat A,PetscTruth *flg)
7080 {
7081   PetscErrorCode ierr;
7082 
7083   PetscFunctionBegin;
7084   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7085   PetscValidPointer(flg,2);
7086   if (!A->structurally_symmetric_set) {
7087     if (!A->ops->isstructurallysymmetric) SETERRQ(PETSC_ERR_SUP,"Matrix does not support checking for structural symmetric");
7088     ierr = (*A->ops->isstructurallysymmetric)(A,&A->structurally_symmetric);CHKERRQ(ierr);
7089     A->structurally_symmetric_set = PETSC_TRUE;
7090   }
7091   *flg = A->structurally_symmetric;
7092   PetscFunctionReturn(0);
7093 }
7094 
7095 #undef __FUNCT__
7096 #define __FUNCT__ "MatStashGetInfo"
7097 extern PetscErrorCode MatStashGetInfo_Private(MatStash*,PetscInt*,PetscInt*);
7098 /*@
7099    MatStashGetInfo - Gets how many values are currently in the vector stash, i.e. need
7100        to be communicated to other processors during the MatAssemblyBegin/End() process
7101 
7102     Not collective
7103 
7104    Input Parameter:
7105 .   vec - the vector
7106 
7107    Output Parameters:
7108 +   nstash   - the size of the stash
7109 .   reallocs - the number of additional mallocs incurred.
7110 .   bnstash   - the size of the block stash
7111 -   breallocs - the number of additional mallocs incurred.in the block stash
7112 
7113    Level: advanced
7114 
7115 .seealso: MatAssemblyBegin(), MatAssemblyEnd(), Mat, MatStashSetInitialSize()
7116 
7117 @*/
7118 PetscErrorCode PETSCMAT_DLLEXPORT MatStashGetInfo(Mat mat,PetscInt *nstash,PetscInt *reallocs,PetscInt *bnstash,PetscInt *breallocs)
7119 {
7120   PetscErrorCode ierr;
7121   PetscFunctionBegin;
7122   ierr = MatStashGetInfo_Private(&mat->stash,nstash,reallocs);CHKERRQ(ierr);
7123   ierr = MatStashGetInfo_Private(&mat->bstash,bnstash,breallocs);CHKERRQ(ierr);
7124   PetscFunctionReturn(0);
7125 }
7126 
7127 #undef __FUNCT__
7128 #define __FUNCT__ "MatGetVecs"
7129 /*@C
7130    MatGetVecs - Get vector(s) compatible with the matrix, i.e. with the same
7131      parallel layout
7132 
7133    Collective on Mat
7134 
7135    Input Parameter:
7136 .  mat - the matrix
7137 
7138    Output Parameter:
7139 +   right - (optional) vector that the matrix can be multiplied against
7140 -   left - (optional) vector that the matrix vector product can be stored in
7141 
7142   Level: advanced
7143 
7144 .seealso: MatCreate()
7145 @*/
7146 PetscErrorCode PETSCMAT_DLLEXPORT MatGetVecs(Mat mat,Vec *right,Vec *left)
7147 {
7148   PetscErrorCode ierr;
7149 
7150   PetscFunctionBegin;
7151   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
7152   PetscValidType(mat,1);
7153   ierr = MatPreallocated(mat);CHKERRQ(ierr);
7154   if (mat->ops->getvecs) {
7155     ierr = (*mat->ops->getvecs)(mat,right,left);CHKERRQ(ierr);
7156   } else {
7157     PetscMPIInt size;
7158     ierr = MPI_Comm_size(((PetscObject)mat)->comm, &size);CHKERRQ(ierr);
7159     if (right) {
7160       ierr = VecCreate(((PetscObject)mat)->comm,right);CHKERRQ(ierr);
7161       ierr = VecSetSizes(*right,mat->cmap->n,PETSC_DETERMINE);CHKERRQ(ierr);
7162       ierr = VecSetBlockSize(*right,mat->rmap->bs);CHKERRQ(ierr);
7163       if (size > 1) {
7164         /* New vectors uses Mat cmap and does not create a new one */
7165 	ierr = PetscMapDestroy((*right)->map);CHKERRQ(ierr);
7166 	(*right)->map = mat->cmap;
7167 	mat->cmap->refcnt++;
7168 
7169         ierr = VecSetType(*right,VECMPI);CHKERRQ(ierr);
7170       } else {ierr = VecSetType(*right,VECSEQ);CHKERRQ(ierr);}
7171     }
7172     if (left) {
7173       ierr = VecCreate(((PetscObject)mat)->comm,left);CHKERRQ(ierr);
7174       ierr = VecSetSizes(*left,mat->rmap->n,PETSC_DETERMINE);CHKERRQ(ierr);
7175       ierr = VecSetBlockSize(*left,mat->rmap->bs);CHKERRQ(ierr);
7176       if (size > 1) {
7177         /* New vectors uses Mat rmap and does not create a new one */
7178 	ierr = PetscMapDestroy((*left)->map);CHKERRQ(ierr);
7179 	(*left)->map = mat->rmap;
7180 	mat->rmap->refcnt++;
7181 
7182         ierr = VecSetType(*left,VECMPI);CHKERRQ(ierr);
7183       } else {ierr = VecSetType(*left,VECSEQ);CHKERRQ(ierr);}
7184     }
7185   }
7186   if (mat->mapping) {
7187     if (right) {ierr = VecSetLocalToGlobalMapping(*right,mat->mapping);CHKERRQ(ierr);}
7188     if (left) {ierr = VecSetLocalToGlobalMapping(*left,mat->mapping);CHKERRQ(ierr);}
7189   }
7190   if (mat->bmapping) {
7191     if (right) {ierr = VecSetLocalToGlobalMappingBlock(*right,mat->bmapping);CHKERRQ(ierr);}
7192     if (left) {ierr = VecSetLocalToGlobalMappingBlock(*left,mat->bmapping);CHKERRQ(ierr);}
7193   }
7194   PetscFunctionReturn(0);
7195 }
7196 
7197 #undef __FUNCT__
7198 #define __FUNCT__ "MatFactorInfoInitialize"
7199 /*@
7200    MatFactorInfoInitialize - Initializes a MatFactorInfo data structure
7201      with default values.
7202 
7203    Not Collective
7204 
7205    Input Parameters:
7206 .    info - the MatFactorInfo data structure
7207 
7208 
7209    Notes: The solvers are generally used through the KSP and PC objects, for example
7210           PCLU, PCILU, PCCHOLESKY, PCICC
7211 
7212    Level: developer
7213 
7214 .seealso: MatFactorInfo
7215 @*/
7216 
7217 PetscErrorCode PETSCMAT_DLLEXPORT MatFactorInfoInitialize(MatFactorInfo *info)
7218 {
7219   PetscErrorCode ierr;
7220 
7221   PetscFunctionBegin;
7222   ierr = PetscMemzero(info,sizeof(MatFactorInfo));CHKERRQ(ierr);
7223   PetscFunctionReturn(0);
7224 }
7225 
7226 #undef __FUNCT__
7227 #define __FUNCT__ "MatPtAP"
7228 /*@
7229    MatPtAP - Creates the matrix projection C = P^T * A * P
7230 
7231    Collective on Mat
7232 
7233    Input Parameters:
7234 +  A - the matrix
7235 .  P - the projection matrix
7236 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7237 -  fill - expected fill as ratio of nnz(C)/nnz(A)
7238 
7239    Output Parameters:
7240 .  C - the product matrix
7241 
7242    Notes:
7243    C will be created and must be destroyed by the user with MatDestroy().
7244 
7245    This routine is currently only implemented for pairs of AIJ matrices and classes
7246    which inherit from AIJ.
7247 
7248    Level: intermediate
7249 
7250 .seealso: MatPtAPSymbolic(), MatPtAPNumeric(), MatMatMult()
7251 @*/
7252 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAP(Mat A,Mat P,MatReuse scall,PetscReal fill,Mat *C)
7253 {
7254   PetscErrorCode ierr;
7255 
7256   PetscFunctionBegin;
7257   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7258   PetscValidType(A,1);
7259   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7260   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7261   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
7262   PetscValidType(P,2);
7263   ierr = MatPreallocated(P);CHKERRQ(ierr);
7264   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7265   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7266   PetscValidPointer(C,3);
7267   if (P->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
7268   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be >= 1.0",fill);
7269   ierr = MatPreallocated(A);CHKERRQ(ierr);
7270 
7271   ierr = PetscLogEventBegin(MAT_PtAP,A,P,0,0);CHKERRQ(ierr);
7272   ierr = (*A->ops->ptap)(A,P,scall,fill,C);CHKERRQ(ierr);
7273   ierr = PetscLogEventEnd(MAT_PtAP,A,P,0,0);CHKERRQ(ierr);
7274 
7275   PetscFunctionReturn(0);
7276 }
7277 
7278 #undef __FUNCT__
7279 #define __FUNCT__ "MatPtAPNumeric"
7280 /*@
7281    MatPtAPNumeric - Computes the matrix projection C = P^T * A * P
7282 
7283    Collective on Mat
7284 
7285    Input Parameters:
7286 +  A - the matrix
7287 -  P - the projection matrix
7288 
7289    Output Parameters:
7290 .  C - the product matrix
7291 
7292    Notes:
7293    C must have been created by calling MatPtAPSymbolic and must be destroyed by
7294    the user using MatDeatroy().
7295 
7296    This routine is currently only implemented for pairs of AIJ matrices and classes
7297    which inherit from AIJ.  C will be of type MATAIJ.
7298 
7299    Level: intermediate
7300 
7301 .seealso: MatPtAP(), MatPtAPSymbolic(), MatMatMultNumeric()
7302 @*/
7303 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAPNumeric(Mat A,Mat P,Mat C)
7304 {
7305   PetscErrorCode ierr;
7306 
7307   PetscFunctionBegin;
7308   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7309   PetscValidType(A,1);
7310   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7311   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7312   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
7313   PetscValidType(P,2);
7314   ierr = MatPreallocated(P);CHKERRQ(ierr);
7315   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7316   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7317   PetscValidHeaderSpecific(C,MAT_COOKIE,3);
7318   PetscValidType(C,3);
7319   ierr = MatPreallocated(C);CHKERRQ(ierr);
7320   if (C->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7321   if (P->cmap->N!=C->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->cmap->N,C->rmap->N);
7322   if (P->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
7323   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);
7324   if (P->cmap->N!=C->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->cmap->N,C->cmap->N);
7325   ierr = MatPreallocated(A);CHKERRQ(ierr);
7326 
7327   ierr = PetscLogEventBegin(MAT_PtAPNumeric,A,P,0,0);CHKERRQ(ierr);
7328   ierr = (*A->ops->ptapnumeric)(A,P,C);CHKERRQ(ierr);
7329   ierr = PetscLogEventEnd(MAT_PtAPNumeric,A,P,0,0);CHKERRQ(ierr);
7330   PetscFunctionReturn(0);
7331 }
7332 
7333 #undef __FUNCT__
7334 #define __FUNCT__ "MatPtAPSymbolic"
7335 /*@
7336    MatPtAPSymbolic - Creates the (i,j) structure of the matrix projection C = P^T * A * P
7337 
7338    Collective on Mat
7339 
7340    Input Parameters:
7341 +  A - the matrix
7342 -  P - the projection matrix
7343 
7344    Output Parameters:
7345 .  C - the (i,j) structure of the product matrix
7346 
7347    Notes:
7348    C will be created and must be destroyed by the user with MatDestroy().
7349 
7350    This routine is currently only implemented for pairs of SeqAIJ matrices and classes
7351    which inherit from SeqAIJ.  C will be of type MATSEQAIJ.  The product is computed using
7352    this (i,j) structure by calling MatPtAPNumeric().
7353 
7354    Level: intermediate
7355 
7356 .seealso: MatPtAP(), MatPtAPNumeric(), MatMatMultSymbolic()
7357 @*/
7358 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAPSymbolic(Mat A,Mat P,PetscReal fill,Mat *C)
7359 {
7360   PetscErrorCode ierr;
7361 
7362   PetscFunctionBegin;
7363   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7364   PetscValidType(A,1);
7365   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7366   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7367   if (fill <1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be >= 1.0",fill);
7368   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
7369   PetscValidType(P,2);
7370   ierr = MatPreallocated(P);CHKERRQ(ierr);
7371   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7372   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7373   PetscValidPointer(C,3);
7374 
7375   if (P->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
7376   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);
7377   ierr = MatPreallocated(A);CHKERRQ(ierr);
7378   ierr = PetscLogEventBegin(MAT_PtAPSymbolic,A,P,0,0);CHKERRQ(ierr);
7379   ierr = (*A->ops->ptapsymbolic)(A,P,fill,C);CHKERRQ(ierr);
7380   ierr = PetscLogEventEnd(MAT_PtAPSymbolic,A,P,0,0);CHKERRQ(ierr);
7381 
7382   ierr = MatSetBlockSize(*C,A->rmap->bs);CHKERRQ(ierr);
7383 
7384   PetscFunctionReturn(0);
7385 }
7386 
7387 #undef __FUNCT__
7388 #define __FUNCT__ "MatMatMult"
7389 /*@
7390    MatMatMult - Performs Matrix-Matrix Multiplication C=A*B.
7391 
7392    Collective on Mat
7393 
7394    Input Parameters:
7395 +  A - the left matrix
7396 .  B - the right matrix
7397 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7398 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if you do not have a good estimate
7399           if the result is a dense matrix this is irrelevent
7400 
7401    Output Parameters:
7402 .  C - the product matrix
7403 
7404    Notes:
7405    Unless scall is MAT_REUSE_MATRIX C will be created.
7406 
7407    MAT_REUSE_MATRIX can only be used if the matrices A and B have the same nonzero pattern as in the previous call
7408 
7409    To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
7410    actually needed.
7411 
7412    If you have many matrices with the same non-zero structure to multiply, you
7413    should either
7414 $   1) use MAT_REUSE_MATRIX in all calls but the first or
7415 $   2) call MatMatMultSymbolic() once and then MatMatMultNumeric() for each product needed
7416 
7417    Level: intermediate
7418 
7419 .seealso: MatMatMultSymbolic(), MatMatMultNumeric(), MatPtAP()
7420 @*/
7421 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMult(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
7422 {
7423   PetscErrorCode ierr;
7424   PetscErrorCode (*fA)(Mat,Mat,MatReuse,PetscReal,Mat*);
7425   PetscErrorCode (*fB)(Mat,Mat,MatReuse,PetscReal,Mat*);
7426   PetscErrorCode (*mult)(Mat,Mat,MatReuse,PetscReal,Mat *)=PETSC_NULL;
7427 
7428   PetscFunctionBegin;
7429   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7430   PetscValidType(A,1);
7431   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7432   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7433   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7434   PetscValidType(B,2);
7435   ierr = MatPreallocated(B);CHKERRQ(ierr);
7436   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7437   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7438   PetscValidPointer(C,3);
7439   if (B->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
7440   if (scall == MAT_REUSE_MATRIX){
7441     PetscValidPointer(*C,5);
7442     PetscValidHeaderSpecific(*C,MAT_COOKIE,5);
7443   }
7444   if (fill == PETSC_DEFAULT || fill == PETSC_DECIDE) fill = 2.0;
7445   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be >= 1.0",fill);
7446   ierr = MatPreallocated(A);CHKERRQ(ierr);
7447 
7448   fA = A->ops->matmult;
7449   fB = B->ops->matmult;
7450   if (fB == fA) {
7451     if (!fB) SETERRQ1(PETSC_ERR_SUP,"MatMatMult not supported for B of type %s",((PetscObject)B)->type_name);
7452     mult = fB;
7453   } else {
7454     /* dispatch based on the type of A and B */
7455     char  multname[256];
7456     ierr = PetscStrcpy(multname,"MatMatMult_");CHKERRQ(ierr);
7457     ierr = PetscStrcat(multname,((PetscObject)A)->type_name);CHKERRQ(ierr);
7458     ierr = PetscStrcat(multname,"_");CHKERRQ(ierr);
7459     ierr = PetscStrcat(multname,((PetscObject)B)->type_name);CHKERRQ(ierr);
7460     ierr = PetscStrcat(multname,"_C");CHKERRQ(ierr); /* e.g., multname = "MatMatMult_seqdense_seqaij_C" */
7461     ierr = PetscObjectQueryFunction((PetscObject)B,multname,(void (**)(void))&mult);CHKERRQ(ierr);
7462     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);
7463   }
7464   ierr = PetscLogEventBegin(MAT_MatMult,A,B,0,0);CHKERRQ(ierr);
7465   ierr = (*mult)(A,B,scall,fill,C);CHKERRQ(ierr);
7466   ierr = PetscLogEventEnd(MAT_MatMult,A,B,0,0);CHKERRQ(ierr);
7467   PetscFunctionReturn(0);
7468 }
7469 
7470 #undef __FUNCT__
7471 #define __FUNCT__ "MatMatMultSymbolic"
7472 /*@
7473    MatMatMultSymbolic - Performs construction, preallocation, and computes the ij structure
7474    of the matrix-matrix product C=A*B.  Call this routine before calling MatMatMultNumeric().
7475 
7476    Collective on Mat
7477 
7478    Input Parameters:
7479 +  A - the left matrix
7480 .  B - the right matrix
7481 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if you do not have a good estimate,
7482       if C is a dense matrix this is irrelevent
7483 
7484    Output Parameters:
7485 .  C - the product matrix
7486 
7487    Notes:
7488    Unless scall is MAT_REUSE_MATRIX C will be created.
7489 
7490    To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
7491    actually needed.
7492 
7493    This routine is currently implemented for
7494     - pairs of AIJ matrices and classes which inherit from AIJ, C will be of type AIJ
7495     - pairs of AIJ (A) and Dense (B) matrix, C will be of type Dense.
7496     - pairs of Dense (A) and AIJ (B) matrix, C will be of type Dense.
7497 
7498    Level: intermediate
7499 
7500 .seealso: MatMatMult(), MatMatMultNumeric()
7501 @*/
7502 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultSymbolic(Mat A,Mat B,PetscReal fill,Mat *C)
7503 {
7504   PetscErrorCode ierr;
7505   PetscErrorCode (*Asymbolic)(Mat,Mat,PetscReal,Mat *);
7506   PetscErrorCode (*Bsymbolic)(Mat,Mat,PetscReal,Mat *);
7507   PetscErrorCode (*symbolic)(Mat,Mat,PetscReal,Mat *)=PETSC_NULL;
7508 
7509   PetscFunctionBegin;
7510   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7511   PetscValidType(A,1);
7512   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7513   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7514 
7515   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7516   PetscValidType(B,2);
7517   ierr = MatPreallocated(B);CHKERRQ(ierr);
7518   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7519   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7520   PetscValidPointer(C,3);
7521 
7522   if (B->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
7523   if (fill == PETSC_DEFAULT) fill = 2.0;
7524   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be > 1.0",fill);
7525   ierr = MatPreallocated(A);CHKERRQ(ierr);
7526 
7527   Asymbolic = A->ops->matmultsymbolic;
7528   Bsymbolic = B->ops->matmultsymbolic;
7529   if (Asymbolic == Bsymbolic){
7530     if (!Bsymbolic) SETERRQ1(PETSC_ERR_SUP,"C=A*B not implemented for B of type %s",((PetscObject)B)->type_name);
7531     symbolic = Bsymbolic;
7532   } else { /* dispatch based on the type of A and B */
7533     char  symbolicname[256];
7534     ierr = PetscStrcpy(symbolicname,"MatMatMultSymbolic_");CHKERRQ(ierr);
7535     ierr = PetscStrcat(symbolicname,((PetscObject)A)->type_name);CHKERRQ(ierr);
7536     ierr = PetscStrcat(symbolicname,"_");CHKERRQ(ierr);
7537     ierr = PetscStrcat(symbolicname,((PetscObject)B)->type_name);CHKERRQ(ierr);
7538     ierr = PetscStrcat(symbolicname,"_C");CHKERRQ(ierr);
7539     ierr = PetscObjectQueryFunction((PetscObject)B,symbolicname,(void (**)(void))&symbolic);CHKERRQ(ierr);
7540     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);
7541   }
7542   ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
7543   ierr = (*symbolic)(A,B,fill,C);CHKERRQ(ierr);
7544   ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
7545   PetscFunctionReturn(0);
7546 }
7547 
7548 #undef __FUNCT__
7549 #define __FUNCT__ "MatMatMultNumeric"
7550 /*@
7551    MatMatMultNumeric - Performs the numeric matrix-matrix product.
7552    Call this routine after first calling MatMatMultSymbolic().
7553 
7554    Collective on Mat
7555 
7556    Input Parameters:
7557 +  A - the left matrix
7558 -  B - the right matrix
7559 
7560    Output Parameters:
7561 .  C - the product matrix, which was created by from MatMatMultSymbolic() or a call to MatMatMult().
7562 
7563    Notes:
7564    C must have been created with MatMatMultSymbolic().
7565 
7566    This routine is currently implemented for
7567     - pairs of AIJ matrices and classes which inherit from AIJ, C will be of type MATAIJ.
7568     - pairs of AIJ (A) and Dense (B) matrix, C will be of type Dense.
7569     - pairs of Dense (A) and AIJ (B) matrix, C will be of type Dense.
7570 
7571    Level: intermediate
7572 
7573 .seealso: MatMatMult(), MatMatMultSymbolic()
7574 @*/
7575 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultNumeric(Mat A,Mat B,Mat C)
7576 {
7577   PetscErrorCode ierr;
7578   PetscErrorCode (*Anumeric)(Mat,Mat,Mat);
7579   PetscErrorCode (*Bnumeric)(Mat,Mat,Mat);
7580   PetscErrorCode (*numeric)(Mat,Mat,Mat)=PETSC_NULL;
7581 
7582   PetscFunctionBegin;
7583   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7584   PetscValidType(A,1);
7585   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7586   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7587 
7588   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7589   PetscValidType(B,2);
7590   ierr = MatPreallocated(B);CHKERRQ(ierr);
7591   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7592   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7593 
7594   PetscValidHeaderSpecific(C,MAT_COOKIE,3);
7595   PetscValidType(C,3);
7596   ierr = MatPreallocated(C);CHKERRQ(ierr);
7597   if (!C->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7598   if (C->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7599 
7600   if (B->cmap->N!=C->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->cmap->N,C->cmap->N);
7601   if (B->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
7602   if (A->rmap->N!=C->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",A->rmap->N,C->rmap->N);
7603   ierr = MatPreallocated(A);CHKERRQ(ierr);
7604 
7605   Anumeric = A->ops->matmultnumeric;
7606   Bnumeric = B->ops->matmultnumeric;
7607   if (Anumeric == Bnumeric){
7608     if (!Bnumeric) SETERRQ1(PETSC_ERR_SUP,"MatMatMultNumeric not supported for B of type %s",((PetscObject)B)->type_name);
7609     numeric = Bnumeric;
7610   } else {
7611     char  numericname[256];
7612     ierr = PetscStrcpy(numericname,"MatMatMultNumeric_");CHKERRQ(ierr);
7613     ierr = PetscStrcat(numericname,((PetscObject)A)->type_name);CHKERRQ(ierr);
7614     ierr = PetscStrcat(numericname,"_");CHKERRQ(ierr);
7615     ierr = PetscStrcat(numericname,((PetscObject)B)->type_name);CHKERRQ(ierr);
7616     ierr = PetscStrcat(numericname,"_C");CHKERRQ(ierr);
7617     ierr = PetscObjectQueryFunction((PetscObject)B,numericname,(void (**)(void))&numeric);CHKERRQ(ierr);
7618     if (!numeric)
7619       SETERRQ2(PETSC_ERR_ARG_INCOMP,"MatMatMultNumeric requires A, %s, to be compatible with B, %s",((PetscObject)A)->type_name,((PetscObject)B)->type_name);
7620   }
7621   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
7622   ierr = (*numeric)(A,B,C);CHKERRQ(ierr);
7623   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
7624   PetscFunctionReturn(0);
7625 }
7626 
7627 #undef __FUNCT__
7628 #define __FUNCT__ "MatMatMultTranspose"
7629 /*@
7630    MatMatMultTranspose - Performs Matrix-Matrix Multiplication C=A^T*B.
7631 
7632    Collective on Mat
7633 
7634    Input Parameters:
7635 +  A - the left matrix
7636 .  B - the right matrix
7637 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7638 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if not known
7639 
7640    Output Parameters:
7641 .  C - the product matrix
7642 
7643    Notes:
7644    C will be created if MAT_INITIAL_MATRIX and must be destroyed by the user with MatDestroy().
7645 
7646    MAT_REUSE_MATRIX can only be used if the matrices A and B have the same nonzero pattern as in the previous call
7647 
7648   To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
7649    actually needed.
7650 
7651    This routine is currently only implemented for pairs of SeqAIJ matrices and pairs of SeqDense matrices and classes
7652    which inherit from SeqAIJ.  C will be of type MATSEQAIJ.
7653 
7654    Level: intermediate
7655 
7656 .seealso: MatMatMultTransposeSymbolic(), MatMatMultTransposeNumeric(), MatPtAP()
7657 @*/
7658 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultTranspose(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
7659 {
7660   PetscErrorCode ierr;
7661   PetscErrorCode (*fA)(Mat,Mat,MatReuse,PetscReal,Mat*);
7662   PetscErrorCode (*fB)(Mat,Mat,MatReuse,PetscReal,Mat*);
7663 
7664   PetscFunctionBegin;
7665   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7666   PetscValidType(A,1);
7667   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7668   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7669   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7670   PetscValidType(B,2);
7671   ierr = MatPreallocated(B);CHKERRQ(ierr);
7672   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7673   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7674   PetscValidPointer(C,3);
7675   if (B->rmap->N!=A->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->rmap->N);
7676   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be > 1.0",fill);
7677   ierr = MatPreallocated(A);CHKERRQ(ierr);
7678 
7679   fA = A->ops->matmulttranspose;
7680   if (!fA) SETERRQ1(PETSC_ERR_SUP,"MatMatMultTranspose not supported for A of type %s",((PetscObject)A)->type_name);
7681   fB = B->ops->matmulttranspose;
7682   if (!fB) SETERRQ1(PETSC_ERR_SUP,"MatMatMultTranspose not supported for B of type %s",((PetscObject)B)->type_name);
7683   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);
7684 
7685   ierr = PetscLogEventBegin(MAT_MatMultTranspose,A,B,0,0);CHKERRQ(ierr);
7686   ierr = (*A->ops->matmulttranspose)(A,B,scall,fill,C);CHKERRQ(ierr);
7687   ierr = PetscLogEventEnd(MAT_MatMultTranspose,A,B,0,0);CHKERRQ(ierr);
7688 
7689   PetscFunctionReturn(0);
7690 }
7691 
7692 #undef __FUNCT__
7693 #define __FUNCT__ "MatGetRedundantMatrix"
7694 /*@C
7695    MatGetRedundantMatrix - Create redundant matrices and put them into processors of subcommunicators.
7696 
7697    Collective on Mat
7698 
7699    Input Parameters:
7700 +  mat - the matrix
7701 .  nsubcomm - the number of subcommunicators (= number of redundant pareallel or sequential matrices)
7702 .  subcomm - MPI communicator split from the communicator where mat resides in
7703 .  mlocal_red - number of local rows of the redundant matrix
7704 -  reuse - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7705 
7706    Output Parameter:
7707 .  matredundant - redundant matrix
7708 
7709    Notes:
7710    MAT_REUSE_MATRIX can only be used when the nonzero structure of the
7711    original matrix has not changed from that last call to MatGetRedundantMatrix().
7712 
7713    This routine creates the duplicated matrices in subcommunicators; you should NOT create them before
7714    calling it.
7715 
7716    Only MPIAIJ matrix is supported.
7717 
7718    Level: advanced
7719 
7720    Concepts: subcommunicator
7721    Concepts: duplicate matrix
7722 
7723 .seealso: MatDestroy()
7724 @*/
7725 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRedundantMatrix(Mat mat,PetscInt nsubcomm,MPI_Comm subcomm,PetscInt mlocal_red,MatReuse reuse,Mat *matredundant)
7726 {
7727   PetscErrorCode ierr;
7728 
7729   PetscFunctionBegin;
7730   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
7731   if (nsubcomm && reuse == MAT_REUSE_MATRIX) {
7732     PetscValidPointer(*matredundant,6);
7733     PetscValidHeaderSpecific(*matredundant,MAT_COOKIE,6);
7734   }
7735   if (!mat->ops->getredundantmatrix) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
7736   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7737   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7738   ierr = MatPreallocated(mat);CHKERRQ(ierr);
7739 
7740   ierr = PetscLogEventBegin(MAT_GetRedundantMatrix,mat,0,0,0);CHKERRQ(ierr);
7741   ierr = (*mat->ops->getredundantmatrix)(mat,nsubcomm,subcomm,mlocal_red,reuse,matredundant);CHKERRQ(ierr);
7742   ierr = PetscLogEventEnd(MAT_GetRedundantMatrix,mat,0,0,0);CHKERRQ(ierr);
7743   PetscFunctionReturn(0);
7744 }
7745