xref: /petsc/src/mat/interface/matrix.c (revision 4da8f2458232f57198ffbca67ee6b4144f494936)
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 .  m - number of rows being entered
1078 .  idxm - grid coordinates (and component number when dof > 1) for matrix rows being entered
1079 .  n - number of columns being entered
1080 .  idxn - grid coordinates (and component number when dof > 1) for matrix columns being entered
1081 .  v - a logically two-dimensional array of values
1082 -  addv - either ADD_VALUES or INSERT_VALUES, where
1083    ADD_VALUES adds values to any existing entries, and
1084    INSERT_VALUES replaces existing entries with new values
1085 
1086    Notes:
1087    By default the values, v, are row-oriented.  See MatSetOption() for other options.
1088 
1089    Calls to MatSetValuesStencil() with the INSERT_VALUES and ADD_VALUES
1090    options cannot be mixed without intervening calls to the assembly
1091    routines.
1092 
1093    The grid coordinates are across the entire grid, not just the local portion
1094 
1095    MatSetValuesStencil() uses 0-based row and column numbers in Fortran
1096    as well as in C.
1097 
1098    For setting/accessing vector values via array coordinates you can use the DAVecGetArray() routine
1099 
1100    In order to use this routine you must either obtain the matrix with DAGetMatrix()
1101    or call MatSetLocalToGlobalMapping() and MatSetStencil() first.
1102 
1103    The columns and rows in the stencil passed in MUST be contained within the
1104    ghost region of the given process as set with DACreateXXX() or MatSetStencil(). For example,
1105    if you create a DA with an overlap of one grid level and on a particular process its first
1106    local nonghost x logical coordinate is 6 (so its first ghost x logical coordinate is 5) the
1107    first i index you can use in your column and row indices in MatSetStencil() is 5.
1108 
1109    In Fortran idxm and idxn should be declared as
1110 $     MatStencil idxm(4,m),idxn(4,n)
1111    and the values inserted using
1112 $    idxm(MatStencil_i,1) = i
1113 $    idxm(MatStencil_j,1) = j
1114 $    idxm(MatStencil_k,1) = k
1115 $    idxm(MatStencil_c,1) = c
1116    etc
1117 
1118    For periodic boundary conditions use negative indices for values to the left (below 0; that are to be
1119    obtained by wrapping values from right edge). For values to the right of the last entry using that index plus one
1120    etc to obtain values that obtained by wrapping the values from the left edge. This does not work for the DA_NONPERIODIC
1121    wrap.
1122 
1123    For indices that don't mean anything for your case (like the k index when working in 2d) or the c index when you have
1124    a single value per point) you can skip filling those indices.
1125 
1126    Inspired by the structured grid interface to the HYPRE package
1127    (http://www.llnl.gov/CASC/hypre)
1128 
1129    Efficiency Alert:
1130    The routine MatSetValuesBlockedStencil() may offer much better efficiency
1131    for users of block sparse formats (MATSEQBAIJ and MATMPIBAIJ).
1132 
1133    Level: beginner
1134 
1135    Concepts: matrices^putting entries in
1136 
1137 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1138           MatSetValues(), MatSetValuesBlockedStencil(), MatSetStencil(), DAGetMatrix(), DAVecGetArray(), MatStencil
1139 @*/
1140 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesStencil(Mat mat,PetscInt m,const MatStencil idxm[],PetscInt n,const MatStencil idxn[],const PetscScalar v[],InsertMode addv)
1141 {
1142   PetscErrorCode ierr;
1143   PetscInt       j,i,jdxm[128],jdxn[256],dim = mat->stencil.dim,*dims = mat->stencil.dims+1,tmp;
1144   PetscInt       *starts = mat->stencil.starts,*dxm = (PetscInt*)idxm,*dxn = (PetscInt*)idxn,sdim = dim - (1 - (PetscInt)mat->stencil.noc);
1145 
1146   PetscFunctionBegin;
1147   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1148   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1149   PetscValidType(mat,1);
1150   PetscValidIntPointer(idxm,3);
1151   PetscValidIntPointer(idxn,5);
1152   PetscValidScalarPointer(v,6);
1153 
1154   if (m > 128) SETERRQ1(PETSC_ERR_SUP,"Can only set 128 rows at a time; trying to set %D",m);
1155   if (n > 256) SETERRQ1(PETSC_ERR_SUP,"Can only set 256 columns at a time; trying to set %D",n);
1156 
1157   for (i=0; i<m; i++) {
1158     for (j=0; j<3-sdim; j++) dxm++;
1159     tmp = *dxm++ - starts[0];
1160     for (j=0; j<dim-1; j++) {
1161       if ((*dxm++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1162       else                                       tmp = tmp*dims[j] + *(dxm-1) - starts[j+1];
1163     }
1164     if (mat->stencil.noc) dxm++;
1165     jdxm[i] = tmp;
1166   }
1167   for (i=0; i<n; i++) {
1168     for (j=0; j<3-sdim; j++) dxn++;
1169     tmp = *dxn++ - starts[0];
1170     for (j=0; j<dim-1; j++) {
1171       if ((*dxn++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1172       else                                       tmp = tmp*dims[j] + *(dxn-1) - starts[j+1];
1173     }
1174     if (mat->stencil.noc) dxn++;
1175     jdxn[i] = tmp;
1176   }
1177   ierr = MatSetValuesLocal(mat,m,jdxm,n,jdxn,v,addv);CHKERRQ(ierr);
1178   PetscFunctionReturn(0);
1179 }
1180 
1181 #undef __FUNCT__
1182 #define __FUNCT__ "MatSetValuesBlockedStencil"
1183 /*@C
1184    MatSetValuesBlockedStencil - Inserts or adds a block of values into a matrix.
1185      Using structured grid indexing
1186 
1187    Not Collective
1188 
1189    Input Parameters:
1190 +  mat - the matrix
1191 .  m - number of rows being entered
1192 .  idxm - grid coordinates for matrix rows being entered
1193 .  n - number of columns being entered
1194 .  idxn - grid coordinates for matrix columns being entered
1195 .  v - a logically two-dimensional array of values
1196 -  addv - either ADD_VALUES or INSERT_VALUES, where
1197    ADD_VALUES adds values to any existing entries, and
1198    INSERT_VALUES replaces existing entries with new values
1199 
1200    Notes:
1201    By default the values, v, are row-oriented and unsorted.
1202    See MatSetOption() for other options.
1203 
1204    Calls to MatSetValuesBlockedStencil() with the INSERT_VALUES and ADD_VALUES
1205    options cannot be mixed without intervening calls to the assembly
1206    routines.
1207 
1208    The grid coordinates are across the entire grid, not just the local portion
1209 
1210    MatSetValuesBlockedStencil() uses 0-based row and column numbers in Fortran
1211    as well as in C.
1212 
1213    For setting/accessing vector values via array coordinates you can use the DAVecGetArray() routine
1214 
1215    In order to use this routine you must either obtain the matrix with DAGetMatrix()
1216    or call MatSetBlockSize(), MatSetLocalToGlobalMapping() and MatSetStencil() first.
1217 
1218    The columns and rows in the stencil passed in MUST be contained within the
1219    ghost region of the given process as set with DACreateXXX() or MatSetStencil(). For example,
1220    if you create a DA with an overlap of one grid level and on a particular process its first
1221    local nonghost x logical coordinate is 6 (so its first ghost x logical coordinate is 5) the
1222    first i index you can use in your column and row indices in MatSetStencil() is 5.
1223 
1224    In Fortran idxm and idxn should be declared as
1225 $     MatStencil idxm(4,m),idxn(4,n)
1226    and the values inserted using
1227 $    idxm(MatStencil_i,1) = i
1228 $    idxm(MatStencil_j,1) = j
1229 $    idxm(MatStencil_k,1) = k
1230    etc
1231 
1232    Negative indices may be passed in idxm and idxn, these rows and columns are
1233    simply ignored. This allows easily inserting element stiffness matrices
1234    with homogeneous Dirchlet boundary conditions that you don't want represented
1235    in the matrix.
1236 
1237    Inspired by the structured grid interface to the HYPRE package
1238    (http://www.llnl.gov/CASC/hypre)
1239 
1240    Level: beginner
1241 
1242    Concepts: matrices^putting entries in
1243 
1244 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1245           MatSetValues(), MatSetValuesStencil(), MatSetStencil(), DAGetMatrix(), DAVecGetArray(), MatStencil,
1246           MatSetBlockSize(), MatSetLocalToGlobalMapping()
1247 @*/
1248 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlockedStencil(Mat mat,PetscInt m,const MatStencil idxm[],PetscInt n,const MatStencil idxn[],const PetscScalar v[],InsertMode addv)
1249 {
1250   PetscErrorCode ierr;
1251   PetscInt       j,i,jdxm[128],jdxn[256],dim = mat->stencil.dim,*dims = mat->stencil.dims+1,tmp;
1252   PetscInt       *starts = mat->stencil.starts,*dxm = (PetscInt*)idxm,*dxn = (PetscInt*)idxn,sdim = dim - (1 - (PetscInt)mat->stencil.noc);
1253 
1254   PetscFunctionBegin;
1255   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1256   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1257   PetscValidType(mat,1);
1258   PetscValidIntPointer(idxm,3);
1259   PetscValidIntPointer(idxn,5);
1260   PetscValidScalarPointer(v,6);
1261 
1262   if (m > 128) SETERRQ1(PETSC_ERR_SUP,"Can only set 128 rows at a time; trying to set %D",m);
1263   if (n > 128) SETERRQ1(PETSC_ERR_SUP,"Can only set 256 columns at a time; trying to set %D",n);
1264 
1265   for (i=0; i<m; i++) {
1266     for (j=0; j<3-sdim; j++) dxm++;
1267     tmp = *dxm++ - starts[0];
1268     for (j=0; j<sdim-1; j++) {
1269       if ((*dxm++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1270       else                                      tmp = tmp*dims[j] + *(dxm-1) - starts[j+1];
1271     }
1272     dxm++;
1273     jdxm[i] = tmp;
1274   }
1275   for (i=0; i<n; i++) {
1276     for (j=0; j<3-sdim; j++) dxn++;
1277     tmp = *dxn++ - starts[0];
1278     for (j=0; j<sdim-1; j++) {
1279       if ((*dxn++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1280       else                                       tmp = tmp*dims[j] + *(dxn-1) - starts[j+1];
1281     }
1282     dxn++;
1283     jdxn[i] = tmp;
1284   }
1285   ierr = MatSetValuesBlockedLocal(mat,m,jdxm,n,jdxn,v,addv);CHKERRQ(ierr);
1286   PetscFunctionReturn(0);
1287 }
1288 
1289 #undef __FUNCT__
1290 #define __FUNCT__ "MatSetStencil"
1291 /*@
1292    MatSetStencil - Sets the grid information for setting values into a matrix via
1293         MatSetValuesStencil()
1294 
1295    Not Collective
1296 
1297    Input Parameters:
1298 +  mat - the matrix
1299 .  dim - dimension of the grid 1, 2, or 3
1300 .  dims - number of grid points in x, y, and z direction, including ghost points on your processor
1301 .  starts - starting point of ghost nodes on your processor in x, y, and z direction
1302 -  dof - number of degrees of freedom per node
1303 
1304 
1305    Inspired by the structured grid interface to the HYPRE package
1306    (www.llnl.gov/CASC/hyper)
1307 
1308    For matrices generated with DAGetMatrix() this routine is automatically called and so not needed by the
1309    user.
1310 
1311    Level: beginner
1312 
1313    Concepts: matrices^putting entries in
1314 
1315 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1316           MatSetValues(), MatSetValuesBlockedStencil(), MatSetValuesStencil()
1317 @*/
1318 PetscErrorCode PETSCMAT_DLLEXPORT MatSetStencil(Mat mat,PetscInt dim,const PetscInt dims[],const PetscInt starts[],PetscInt dof)
1319 {
1320   PetscInt i;
1321 
1322   PetscFunctionBegin;
1323   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1324   PetscValidIntPointer(dims,3);
1325   PetscValidIntPointer(starts,4);
1326 
1327   mat->stencil.dim = dim + (dof > 1);
1328   for (i=0; i<dim; i++) {
1329     mat->stencil.dims[i]   = dims[dim-i-1];      /* copy the values in backwards */
1330     mat->stencil.starts[i] = starts[dim-i-1];
1331   }
1332   mat->stencil.dims[dim]   = dof;
1333   mat->stencil.starts[dim] = 0;
1334   mat->stencil.noc         = (PetscTruth)(dof == 1);
1335   PetscFunctionReturn(0);
1336 }
1337 
1338 #undef __FUNCT__
1339 #define __FUNCT__ "MatSetValuesBlocked"
1340 /*@
1341    MatSetValuesBlocked - Inserts or adds a block of values into a matrix.
1342 
1343    Not Collective
1344 
1345    Input Parameters:
1346 +  mat - the matrix
1347 .  v - a logically two-dimensional array of values
1348 .  m, idxm - the number of block rows and their global block indices
1349 .  n, idxn - the number of block columns and their global block indices
1350 -  addv - either ADD_VALUES or INSERT_VALUES, where
1351    ADD_VALUES adds values to any existing entries, and
1352    INSERT_VALUES replaces existing entries with new values
1353 
1354    Notes:
1355    The m and n count the NUMBER of blocks in the row direction and column direction,
1356    NOT the total number of rows/columns; for example, if the block size is 2 and
1357    you are passing in values for rows 2,3,4,5  then m would be 2 (not 4).
1358    The values in idxm would be 1 2; that is the first index for each block divided by
1359    the block size.
1360 
1361    Note that you must call MatSetBlockSize() when constructing this matrix (and before
1362    preallocating it).
1363 
1364    By default the values, v, are row-oriented and unsorted. So the layout of
1365    v is the same as for MatSetValues(). See MatSetOption() for other options.
1366 
1367    Calls to MatSetValuesBlocked() with the INSERT_VALUES and ADD_VALUES
1368    options cannot be mixed without intervening calls to the assembly
1369    routines.
1370 
1371    MatSetValuesBlocked() uses 0-based row and column numbers in Fortran
1372    as well as in C.
1373 
1374    Negative indices may be passed in idxm and idxn, these rows and columns are
1375    simply ignored. This allows easily inserting element stiffness matrices
1376    with homogeneous Dirchlet boundary conditions that you don't want represented
1377    in the matrix.
1378 
1379    Each time an entry is set within a sparse matrix via MatSetValues(),
1380    internal searching must be done to determine where to place the the
1381    data in the matrix storage space.  By instead inserting blocks of
1382    entries via MatSetValuesBlocked(), the overhead of matrix assembly is
1383    reduced.
1384 
1385    Example:
1386 $   Suppose m=n=2 and block size(bs) = 2 The array is
1387 $
1388 $   1  2  | 3  4
1389 $   5  6  | 7  8
1390 $   - - - | - - -
1391 $   9  10 | 11 12
1392 $   13 14 | 15 16
1393 $
1394 $   v[] should be passed in like
1395 $   v[] = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]
1396 $
1397 $  If you are not using row oriented storage of v (that is you called MatSetOption(mat,MAT_ROW_ORIENTED,PETSC_FALSE)) then
1398 $   v[] = [1,5,9,13,2,6,10,14,3,7,11,15,4,8,12,16]
1399 
1400    Level: intermediate
1401 
1402    Concepts: matrices^putting entries in blocked
1403 
1404 .seealso: MatSetBlockSize(), MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesBlockedLocal()
1405 @*/
1406 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlocked(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],const PetscScalar v[],InsertMode addv)
1407 {
1408   PetscErrorCode ierr;
1409 
1410   PetscFunctionBegin;
1411   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1412   PetscValidType(mat,1);
1413   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1414   PetscValidIntPointer(idxm,3);
1415   PetscValidIntPointer(idxn,5);
1416   PetscValidScalarPointer(v,6);
1417   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1418   if (mat->insertmode == NOT_SET_VALUES) {
1419     mat->insertmode = addv;
1420   }
1421 #if defined(PETSC_USE_DEBUG)
1422   else if (mat->insertmode != addv) {
1423     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1424   }
1425   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1426 #endif
1427 
1428   if (mat->assembled) {
1429     mat->was_assembled = PETSC_TRUE;
1430     mat->assembled     = PETSC_FALSE;
1431   }
1432   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1433   if (mat->ops->setvaluesblocked) {
1434     ierr = (*mat->ops->setvaluesblocked)(mat,m,idxm,n,idxn,v,addv);CHKERRQ(ierr);
1435   } else {
1436     PetscInt buf[4096],*ibufm=0,*ibufn=0;
1437     PetscInt i,j,*iidxm,*iidxn,bs=mat->rmap->bs;
1438     if ((m+n)*bs <= 4096) {
1439       iidxm = buf; iidxn = buf + m*bs;
1440     } else {
1441       ierr = PetscMalloc2(m*bs,PetscInt,&ibufm,n*bs,PetscInt,&ibufn);CHKERRQ(ierr);
1442       iidxm = ibufm; iidxn = ibufn;
1443     }
1444     for (i=0; i<m; i++) {
1445       for (j=0; j<bs; j++) {
1446 	iidxm[i*bs+j] = bs*idxm[i] + j;
1447       }
1448     }
1449     for (i=0; i<n; i++) {
1450       for (j=0; j<bs; j++) {
1451 	iidxn[i*bs+j] = bs*idxn[i] + j;
1452       }
1453     }
1454     ierr = MatSetValues(mat,bs*m,iidxm,bs*n,iidxn,v,addv);CHKERRQ(ierr);
1455     ierr = PetscFree2(ibufm,ibufn);CHKERRQ(ierr);
1456   }
1457   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1458   PetscFunctionReturn(0);
1459 }
1460 
1461 #undef __FUNCT__
1462 #define __FUNCT__ "MatGetValues"
1463 /*@
1464    MatGetValues - Gets a block of values from a matrix.
1465 
1466    Not Collective; currently only returns a local block
1467 
1468    Input Parameters:
1469 +  mat - the matrix
1470 .  v - a logically two-dimensional array for storing the values
1471 .  m, idxm - the number of rows and their global indices
1472 -  n, idxn - the number of columns and their global indices
1473 
1474    Notes:
1475    The user must allocate space (m*n PetscScalars) for the values, v.
1476    The values, v, are then returned in a row-oriented format,
1477    analogous to that used by default in MatSetValues().
1478 
1479    MatGetValues() uses 0-based row and column numbers in
1480    Fortran as well as in C.
1481 
1482    MatGetValues() requires that the matrix has been assembled
1483    with MatAssemblyBegin()/MatAssemblyEnd().  Thus, calls to
1484    MatSetValues() and MatGetValues() CANNOT be made in succession
1485    without intermediate matrix assembly.
1486 
1487    Negative row or column indices will be ignored and those locations in v[] will be
1488    left unchanged.
1489 
1490    Level: advanced
1491 
1492    Concepts: matrices^accessing values
1493 
1494 .seealso: MatGetRow(), MatGetSubMatrices(), MatSetValues()
1495 @*/
1496 PetscErrorCode PETSCMAT_DLLEXPORT MatGetValues(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
1497 {
1498   PetscErrorCode ierr;
1499 
1500   PetscFunctionBegin;
1501   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1502   PetscValidType(mat,1);
1503   PetscValidIntPointer(idxm,3);
1504   PetscValidIntPointer(idxn,5);
1505   PetscValidScalarPointer(v,6);
1506   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1507   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1508   if (!mat->ops->getvalues) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
1509   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1510 
1511   ierr = PetscLogEventBegin(MAT_GetValues,mat,0,0,0);CHKERRQ(ierr);
1512   ierr = (*mat->ops->getvalues)(mat,m,idxm,n,idxn,v);CHKERRQ(ierr);
1513   ierr = PetscLogEventEnd(MAT_GetValues,mat,0,0,0);CHKERRQ(ierr);
1514   PetscFunctionReturn(0);
1515 }
1516 
1517 #undef __FUNCT__
1518 #define __FUNCT__ "MatSetLocalToGlobalMapping"
1519 /*@
1520    MatSetLocalToGlobalMapping - Sets a local-to-global numbering for use by
1521    the routine MatSetValuesLocal() to allow users to insert matrix entries
1522    using a local (per-processor) numbering.
1523 
1524    Not Collective
1525 
1526    Input Parameters:
1527 +  x - the matrix
1528 -  mapping - mapping created with ISLocalToGlobalMappingCreate()
1529              or ISLocalToGlobalMappingCreateIS()
1530 
1531    Level: intermediate
1532 
1533    Concepts: matrices^local to global mapping
1534    Concepts: local to global mapping^for matrices
1535 
1536 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesLocal()
1537 @*/
1538 PetscErrorCode PETSCMAT_DLLEXPORT MatSetLocalToGlobalMapping(Mat x,ISLocalToGlobalMapping mapping)
1539 {
1540   PetscErrorCode ierr;
1541   PetscFunctionBegin;
1542   PetscValidHeaderSpecific(x,MAT_COOKIE,1);
1543   PetscValidType(x,1);
1544   PetscValidHeaderSpecific(mapping,IS_LTOGM_COOKIE,2);
1545   if (x->mapping) {
1546     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Mapping already set for matrix");
1547   }
1548   ierr = MatPreallocated(x);CHKERRQ(ierr);
1549 
1550   if (x->ops->setlocaltoglobalmapping) {
1551     ierr = (*x->ops->setlocaltoglobalmapping)(x,mapping);CHKERRQ(ierr);
1552   } else {
1553     ierr = PetscObjectReference((PetscObject)mapping);CHKERRQ(ierr);
1554     if (x->mapping) { ierr = ISLocalToGlobalMappingDestroy(x->mapping);CHKERRQ(ierr); }
1555     x->mapping = mapping;
1556   }
1557   PetscFunctionReturn(0);
1558 }
1559 
1560 #undef __FUNCT__
1561 #define __FUNCT__ "MatSetLocalToGlobalMappingBlock"
1562 /*@
1563    MatSetLocalToGlobalMappingBlock - Sets a local-to-global numbering for use
1564    by the routine MatSetValuesBlockedLocal() to allow users to insert matrix
1565    entries using a local (per-processor) numbering.
1566 
1567    Not Collective
1568 
1569    Input Parameters:
1570 +  x - the matrix
1571 -  mapping - mapping created with ISLocalToGlobalMappingCreate() or
1572              ISLocalToGlobalMappingCreateIS()
1573 
1574    Level: intermediate
1575 
1576    Concepts: matrices^local to global mapping blocked
1577    Concepts: local to global mapping^for matrices, blocked
1578 
1579 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesBlockedLocal(),
1580            MatSetValuesBlocked(), MatSetValuesLocal()
1581 @*/
1582 PetscErrorCode PETSCMAT_DLLEXPORT MatSetLocalToGlobalMappingBlock(Mat x,ISLocalToGlobalMapping mapping)
1583 {
1584   PetscErrorCode ierr;
1585   PetscFunctionBegin;
1586   PetscValidHeaderSpecific(x,MAT_COOKIE,1);
1587   PetscValidType(x,1);
1588   PetscValidHeaderSpecific(mapping,IS_LTOGM_COOKIE,2);
1589   if (x->bmapping) {
1590     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Mapping already set for matrix");
1591   }
1592   ierr = PetscObjectReference((PetscObject)mapping);CHKERRQ(ierr);
1593   if (x->bmapping) { ierr = ISLocalToGlobalMappingDestroy(x->bmapping);CHKERRQ(ierr); }
1594   x->bmapping = mapping;
1595   PetscFunctionReturn(0);
1596 }
1597 
1598 #undef __FUNCT__
1599 #define __FUNCT__ "MatSetValuesLocal"
1600 /*@
1601    MatSetValuesLocal - Inserts or adds values into certain locations of a matrix,
1602    using a local ordering of the nodes.
1603 
1604    Not Collective
1605 
1606    Input Parameters:
1607 +  x - the matrix
1608 .  nrow, irow - number of rows and their local indices
1609 .  ncol, icol - number of columns and their local indices
1610 .  y -  a logically two-dimensional array of values
1611 -  addv - either INSERT_VALUES or ADD_VALUES, where
1612    ADD_VALUES adds values to any existing entries, and
1613    INSERT_VALUES replaces existing entries with new values
1614 
1615    Notes:
1616    Before calling MatSetValuesLocal(), the user must first set the
1617    local-to-global mapping by calling MatSetLocalToGlobalMapping().
1618 
1619    Calls to MatSetValuesLocal() with the INSERT_VALUES and ADD_VALUES
1620    options cannot be mixed without intervening calls to the assembly
1621    routines.
1622 
1623    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
1624    MUST be called after all calls to MatSetValuesLocal() have been completed.
1625 
1626    Level: intermediate
1627 
1628    Concepts: matrices^putting entries in with local numbering
1629 
1630 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetLocalToGlobalMapping(),
1631            MatSetValueLocal()
1632 @*/
1633 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesLocal(Mat mat,PetscInt nrow,const PetscInt irow[],PetscInt ncol,const PetscInt icol[],const PetscScalar y[],InsertMode addv)
1634 {
1635   PetscErrorCode ierr;
1636   PetscInt       irowm[2048],icolm[2048];
1637 
1638   PetscFunctionBegin;
1639   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1640   PetscValidType(mat,1);
1641   if (!nrow || !ncol) PetscFunctionReturn(0); /* no values to insert */
1642   PetscValidIntPointer(irow,3);
1643   PetscValidIntPointer(icol,5);
1644   PetscValidScalarPointer(y,6);
1645   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1646   if (mat->insertmode == NOT_SET_VALUES) {
1647     mat->insertmode = addv;
1648   }
1649 #if defined(PETSC_USE_DEBUG)
1650   else if (mat->insertmode != addv) {
1651     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1652   }
1653   if (!mat->ops->setvalueslocal && (nrow > 2048 || ncol > 2048)) {
1654     SETERRQ2(PETSC_ERR_SUP,"Number column/row indices must be <= 2048: are %D %D",nrow,ncol);
1655   }
1656   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1657 #endif
1658 
1659   if (mat->assembled) {
1660     mat->was_assembled = PETSC_TRUE;
1661     mat->assembled     = PETSC_FALSE;
1662   }
1663   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1664   if (!mat->ops->setvalueslocal) {
1665     ierr = ISLocalToGlobalMappingApply(mat->mapping,nrow,irow,irowm);CHKERRQ(ierr);
1666     ierr = ISLocalToGlobalMappingApply(mat->mapping,ncol,icol,icolm);CHKERRQ(ierr);
1667     ierr = (*mat->ops->setvalues)(mat,nrow,irowm,ncol,icolm,y,addv);CHKERRQ(ierr);
1668   } else {
1669     ierr = (*mat->ops->setvalueslocal)(mat,nrow,irow,ncol,icol,y,addv);CHKERRQ(ierr);
1670   }
1671   mat->same_nonzero = PETSC_FALSE;
1672   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1673   PetscFunctionReturn(0);
1674 }
1675 
1676 #undef __FUNCT__
1677 #define __FUNCT__ "MatSetValuesBlockedLocal"
1678 /*@
1679    MatSetValuesBlockedLocal - Inserts or adds values into certain locations of a matrix,
1680    using a local ordering of the nodes a block at a time.
1681 
1682    Not Collective
1683 
1684    Input Parameters:
1685 +  x - the matrix
1686 .  nrow, irow - number of rows and their local indices
1687 .  ncol, icol - number of columns and their local indices
1688 .  y -  a logically two-dimensional array of values
1689 -  addv - either INSERT_VALUES or ADD_VALUES, where
1690    ADD_VALUES adds values to any existing entries, and
1691    INSERT_VALUES replaces existing entries with new values
1692 
1693    Notes:
1694    Before calling MatSetValuesBlockedLocal(), the user must first set the
1695    block size using MatSetBlockSize(), and the local-to-global mapping by
1696    calling MatSetLocalToGlobalMappingBlock(), where the mapping MUST be
1697    set for matrix blocks, not for matrix elements.
1698 
1699    Calls to MatSetValuesBlockedLocal() with the INSERT_VALUES and ADD_VALUES
1700    options cannot be mixed without intervening calls to the assembly
1701    routines.
1702 
1703    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
1704    MUST be called after all calls to MatSetValuesBlockedLocal() have been completed.
1705 
1706    Level: intermediate
1707 
1708    Concepts: matrices^putting blocked values in with local numbering
1709 
1710 .seealso:  MatSetBlockSize(), MatSetLocalToGlobalMappingBlock(), MatAssemblyBegin(), MatAssemblyEnd(),
1711            MatSetValuesLocal(), MatSetLocalToGlobalMappingBlock(), MatSetValuesBlocked()
1712 @*/
1713 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlockedLocal(Mat mat,PetscInt nrow,const PetscInt irow[],PetscInt ncol,const PetscInt icol[],const PetscScalar y[],InsertMode addv)
1714 {
1715   PetscErrorCode ierr;
1716   PetscInt       irowm[2048],icolm[2048];
1717 
1718   PetscFunctionBegin;
1719   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1720   PetscValidType(mat,1);
1721   if (!nrow || !ncol) PetscFunctionReturn(0); /* no values to insert */
1722   PetscValidIntPointer(irow,3);
1723   PetscValidIntPointer(icol,5);
1724   PetscValidScalarPointer(y,6);
1725   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1726   if (mat->insertmode == NOT_SET_VALUES) {
1727     mat->insertmode = addv;
1728   }
1729 #if defined(PETSC_USE_DEBUG)
1730   else if (mat->insertmode != addv) {
1731     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1732   }
1733   if (!mat->bmapping) {
1734     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Local to global never set with MatSetLocalToGlobalMappingBlock()");
1735   }
1736   if (nrow > 2048 || ncol > 2048) {
1737     SETERRQ2(PETSC_ERR_SUP,"Number column/row indices must be <= 2048: are %D %D",nrow,ncol);
1738   }
1739   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1740 #endif
1741 
1742   if (mat->assembled) {
1743     mat->was_assembled = PETSC_TRUE;
1744     mat->assembled     = PETSC_FALSE;
1745   }
1746   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1747   ierr = ISLocalToGlobalMappingApply(mat->bmapping,nrow,irow,irowm);CHKERRQ(ierr);
1748   ierr = ISLocalToGlobalMappingApply(mat->bmapping,ncol,icol,icolm);CHKERRQ(ierr);
1749   if (mat->ops->setvaluesblocked) {
1750   ierr = (*mat->ops->setvaluesblocked)(mat,nrow,irowm,ncol,icolm,y,addv);CHKERRQ(ierr);
1751   } else {
1752     PetscInt buf[4096],*ibufm=0,*ibufn=0;
1753     PetscInt i,j,*iirowm,*iicolm,bs=mat->rmap->bs;
1754     if ((nrow+ncol)*bs <= 4096) {
1755       iirowm = buf; iicolm = buf + nrow*bs;
1756     } else {
1757       ierr = PetscMalloc2(nrow*bs,PetscInt,&ibufm,ncol*bs,PetscInt,&ibufn);CHKERRQ(ierr);
1758       iirowm = ibufm; iicolm = ibufn;
1759     }
1760     for (i=0; i<nrow; i++) {
1761       for (j=0; j<bs; j++) {
1762 	iirowm[i*bs+j] = bs*irowm[i] + j;
1763       }
1764     }
1765     for (i=0; i<ncol; i++) {
1766       for (j=0; j<bs; j++) {
1767 	iicolm[i*bs+j] = bs*icolm[i] + j;
1768       }
1769     }
1770     ierr = MatSetValues(mat,bs*nrow,iirowm,bs*ncol,iicolm,y,addv);CHKERRQ(ierr);
1771     ierr = PetscFree2(ibufm,ibufn);CHKERRQ(ierr);
1772   }
1773   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1774   PetscFunctionReturn(0);
1775 }
1776 
1777 #undef __FUNCT__
1778 #define __FUNCT__ "MatMultDiagonalBlock"
1779 /*@
1780    MatMultDiagonalBlock - Computes the matrix-vector product, y = Dx. Where D is defined by the inode or block structure of the diagonal
1781 
1782    Collective on Mat and Vec
1783 
1784    Input Parameters:
1785 +  mat - the matrix
1786 -  x   - the vector to be multiplied
1787 
1788    Output Parameters:
1789 .  y - the result
1790 
1791    Notes:
1792    The vectors x and y cannot be the same.  I.e., one cannot
1793    call MatMult(A,y,y).
1794 
1795    Level: developer
1796 
1797    Concepts: matrix-vector product
1798 
1799 .seealso: MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
1800 @*/
1801 PetscErrorCode PETSCMAT_DLLEXPORT MatMultDiagonalBlock(Mat mat,Vec x,Vec y)
1802 {
1803   PetscErrorCode ierr;
1804 
1805   PetscFunctionBegin;
1806   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1807   PetscValidType(mat,1);
1808   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1809   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1810 
1811   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1812   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1813   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1814   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1815 
1816   if (!mat->ops->multdiagonalblock) SETERRQ(PETSC_ERR_SUP,"This matrix type does not have a multiply defined");
1817   ierr = (*mat->ops->multdiagonalblock)(mat,x,y);CHKERRQ(ierr);
1818   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1819   PetscFunctionReturn(0);
1820 }
1821 
1822 /* --------------------------------------------------------*/
1823 #undef __FUNCT__
1824 #define __FUNCT__ "MatMult"
1825 /*@
1826    MatMult - Computes the matrix-vector product, y = Ax.
1827 
1828    Collective on Mat and Vec
1829 
1830    Input Parameters:
1831 +  mat - the matrix
1832 -  x   - the vector to be multiplied
1833 
1834    Output Parameters:
1835 .  y - the result
1836 
1837    Notes:
1838    The vectors x and y cannot be the same.  I.e., one cannot
1839    call MatMult(A,y,y).
1840 
1841    Level: beginner
1842 
1843    Concepts: matrix-vector product
1844 
1845 .seealso: MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
1846 @*/
1847 PetscErrorCode PETSCMAT_DLLEXPORT MatMult(Mat mat,Vec x,Vec y)
1848 {
1849   PetscErrorCode ierr;
1850 
1851   PetscFunctionBegin;
1852   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1853   PetscValidType(mat,1);
1854   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1855   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1856 
1857   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1858   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1859   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1860 #ifndef PETSC_HAVE_CONSTRAINTS
1861   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
1862   if (mat->rmap->N != y->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->rmap->N,y->map->N);
1863   if (mat->rmap->n != y->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: local dim %D %D",mat->rmap->n,y->map->n);
1864 #endif
1865   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1866 
1867   if (mat->nullsp) {
1868     ierr = MatNullSpaceRemove(mat->nullsp,x,&x);CHKERRQ(ierr);
1869   }
1870 
1871   if (!mat->ops->mult) SETERRQ(PETSC_ERR_SUP,"This matrix type does not have a multiply defined");
1872   ierr = PetscLogEventBegin(MAT_Mult,mat,x,y,0);CHKERRQ(ierr);
1873   ierr = (*mat->ops->mult)(mat,x,y);CHKERRQ(ierr);
1874   ierr = PetscLogEventEnd(MAT_Mult,mat,x,y,0);CHKERRQ(ierr);
1875 
1876   if (mat->nullsp) {
1877     ierr = MatNullSpaceRemove(mat->nullsp,y,PETSC_NULL);CHKERRQ(ierr);
1878   }
1879   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1880   PetscFunctionReturn(0);
1881 }
1882 
1883 #undef __FUNCT__
1884 #define __FUNCT__ "MatMultTranspose"
1885 /*@
1886    MatMultTranspose - Computes matrix transpose times a vector.
1887 
1888    Collective on Mat and Vec
1889 
1890    Input Parameters:
1891 +  mat - the matrix
1892 -  x   - the vector to be multilplied
1893 
1894    Output Parameters:
1895 .  y - the result
1896 
1897    Notes:
1898    The vectors x and y cannot be the same.  I.e., one cannot
1899    call MatMultTranspose(A,y,y).
1900 
1901    Level: beginner
1902 
1903    Concepts: matrix vector product^transpose
1904 
1905 .seealso: MatMult(), MatMultAdd(), MatMultTransposeAdd()
1906 @*/
1907 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTranspose(Mat mat,Vec x,Vec y)
1908 {
1909   PetscErrorCode ierr;
1910 
1911   PetscFunctionBegin;
1912   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1913   PetscValidType(mat,1);
1914   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1915   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1916 
1917   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1918   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1919   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1920 #ifndef PETSC_HAVE_CONSTRAINTS
1921   if (mat->rmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->rmap->N,x->map->N);
1922   if (mat->cmap->N != y->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->cmap->N,y->map->N);
1923 #endif
1924   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1925 
1926   if (!mat->ops->multtranspose) SETERRQ(PETSC_ERR_SUP,"This matrix type does not have a multiply tranpose defined");
1927   ierr = PetscLogEventBegin(MAT_MultTranspose,mat,x,y,0);CHKERRQ(ierr);
1928   ierr = (*mat->ops->multtranspose)(mat,x,y);CHKERRQ(ierr);
1929   ierr = PetscLogEventEnd(MAT_MultTranspose,mat,x,y,0);CHKERRQ(ierr);
1930   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1931   PetscFunctionReturn(0);
1932 }
1933 
1934 #undef __FUNCT__
1935 #define __FUNCT__ "MatMultAdd"
1936 /*@
1937     MatMultAdd -  Computes v3 = v2 + A * v1.
1938 
1939     Collective on Mat and Vec
1940 
1941     Input Parameters:
1942 +   mat - the matrix
1943 -   v1, v2 - the vectors
1944 
1945     Output Parameters:
1946 .   v3 - the result
1947 
1948     Notes:
1949     The vectors v1 and v3 cannot be the same.  I.e., one cannot
1950     call MatMultAdd(A,v1,v2,v1).
1951 
1952     Level: beginner
1953 
1954     Concepts: matrix vector product^addition
1955 
1956 .seealso: MatMultTranspose(), MatMult(), MatMultTransposeAdd()
1957 @*/
1958 PetscErrorCode PETSCMAT_DLLEXPORT MatMultAdd(Mat mat,Vec v1,Vec v2,Vec v3)
1959 {
1960   PetscErrorCode ierr;
1961 
1962   PetscFunctionBegin;
1963   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1964   PetscValidType(mat,1);
1965   PetscValidHeaderSpecific(v1,VEC_COOKIE,2);
1966   PetscValidHeaderSpecific(v2,VEC_COOKIE,3);
1967   PetscValidHeaderSpecific(v3,VEC_COOKIE,4);
1968 
1969   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1970   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1971   if (mat->cmap->N != v1->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v1: global dim %D %D",mat->cmap->N,v1->map->N);
1972   /* if (mat->rmap->N != v2->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v2: global dim %D %D",mat->rmap->N,v2->map->N);
1973      if (mat->rmap->N != v3->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v3: global dim %D %D",mat->rmap->N,v3->map->N); */
1974   if (mat->rmap->n != v3->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v3: local dim %D %D",mat->rmap->n,v3->map->n);
1975   if (mat->rmap->n != v2->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v2: local dim %D %D",mat->rmap->n,v2->map->n);
1976   if (v1 == v3) SETERRQ(PETSC_ERR_ARG_IDN,"v1 and v3 must be different vectors");
1977   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1978 
1979   ierr = PetscLogEventBegin(MAT_MultAdd,mat,v1,v2,v3);CHKERRQ(ierr);
1980   ierr = (*mat->ops->multadd)(mat,v1,v2,v3);CHKERRQ(ierr);
1981   ierr = PetscLogEventEnd(MAT_MultAdd,mat,v1,v2,v3);CHKERRQ(ierr);
1982   ierr = PetscObjectStateIncrease((PetscObject)v3);CHKERRQ(ierr);
1983   PetscFunctionReturn(0);
1984 }
1985 
1986 #undef __FUNCT__
1987 #define __FUNCT__ "MatMultTransposeAdd"
1988 /*@
1989    MatMultTransposeAdd - Computes v3 = v2 + A' * v1.
1990 
1991    Collective on Mat and Vec
1992 
1993    Input Parameters:
1994 +  mat - the matrix
1995 -  v1, v2 - the vectors
1996 
1997    Output Parameters:
1998 .  v3 - the result
1999 
2000    Notes:
2001    The vectors v1 and v3 cannot be the same.  I.e., one cannot
2002    call MatMultTransposeAdd(A,v1,v2,v1).
2003 
2004    Level: beginner
2005 
2006    Concepts: matrix vector product^transpose and addition
2007 
2008 .seealso: MatMultTranspose(), MatMultAdd(), MatMult()
2009 @*/
2010 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeAdd(Mat mat,Vec v1,Vec v2,Vec v3)
2011 {
2012   PetscErrorCode ierr;
2013 
2014   PetscFunctionBegin;
2015   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2016   PetscValidType(mat,1);
2017   PetscValidHeaderSpecific(v1,VEC_COOKIE,2);
2018   PetscValidHeaderSpecific(v2,VEC_COOKIE,3);
2019   PetscValidHeaderSpecific(v3,VEC_COOKIE,4);
2020 
2021   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2022   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2023   if (!mat->ops->multtransposeadd) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2024   if (v1 == v3) SETERRQ(PETSC_ERR_ARG_IDN,"v1 and v3 must be different vectors");
2025   if (mat->rmap->N != v1->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v1: global dim %D %D",mat->rmap->N,v1->map->N);
2026   if (mat->cmap->N != v2->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v2: global dim %D %D",mat->cmap->N,v2->map->N);
2027   if (mat->cmap->N != v3->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v3: global dim %D %D",mat->cmap->N,v3->map->N);
2028   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2029 
2030   ierr = PetscLogEventBegin(MAT_MultTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2031   ierr = (*mat->ops->multtransposeadd)(mat,v1,v2,v3);CHKERRQ(ierr);
2032   ierr = PetscLogEventEnd(MAT_MultTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2033   ierr = PetscObjectStateIncrease((PetscObject)v3);CHKERRQ(ierr);
2034   PetscFunctionReturn(0);
2035 }
2036 
2037 #undef __FUNCT__
2038 #define __FUNCT__ "MatMultConstrained"
2039 /*@
2040    MatMultConstrained - The inner multiplication routine for a
2041    constrained matrix P^T A P.
2042 
2043    Collective on Mat and Vec
2044 
2045    Input Parameters:
2046 +  mat - the matrix
2047 -  x   - the vector to be multilplied
2048 
2049    Output Parameters:
2050 .  y - the result
2051 
2052    Notes:
2053    The vectors x and y cannot be the same.  I.e., one cannot
2054    call MatMult(A,y,y).
2055 
2056    Level: beginner
2057 
2058 .keywords: matrix, multiply, matrix-vector product, constraint
2059 .seealso: MatMult(), MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
2060 @*/
2061 PetscErrorCode PETSCMAT_DLLEXPORT MatMultConstrained(Mat mat,Vec x,Vec y)
2062 {
2063   PetscErrorCode ierr;
2064 
2065   PetscFunctionBegin;
2066   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2067   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
2068   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
2069   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2070   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2071   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
2072   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2073   if (mat->rmap->N != y->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->rmap->N,y->map->N);
2074   if (mat->rmap->n != y->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: local dim %D %D",mat->rmap->n,y->map->n);
2075 
2076   ierr = PetscLogEventBegin(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2077   ierr = (*mat->ops->multconstrained)(mat,x,y);CHKERRQ(ierr);
2078   ierr = PetscLogEventEnd(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2079   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
2080 
2081   PetscFunctionReturn(0);
2082 }
2083 
2084 #undef __FUNCT__
2085 #define __FUNCT__ "MatMultTransposeConstrained"
2086 /*@
2087    MatMultTransposeConstrained - The inner multiplication routine for a
2088    constrained matrix P^T A^T P.
2089 
2090    Collective on Mat and Vec
2091 
2092    Input Parameters:
2093 +  mat - the matrix
2094 -  x   - the vector to be multilplied
2095 
2096    Output Parameters:
2097 .  y - the result
2098 
2099    Notes:
2100    The vectors x and y cannot be the same.  I.e., one cannot
2101    call MatMult(A,y,y).
2102 
2103    Level: beginner
2104 
2105 .keywords: matrix, multiply, matrix-vector product, constraint
2106 .seealso: MatMult(), MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
2107 @*/
2108 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeConstrained(Mat mat,Vec x,Vec y)
2109 {
2110   PetscErrorCode ierr;
2111 
2112   PetscFunctionBegin;
2113   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2114   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
2115   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
2116   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2117   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2118   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
2119   if (mat->rmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2120   if (mat->cmap->N != y->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->rmap->N,y->map->N);
2121 
2122   ierr = PetscLogEventBegin(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2123   ierr = (*mat->ops->multtransposeconstrained)(mat,x,y);CHKERRQ(ierr);
2124   ierr = PetscLogEventEnd(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2125   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
2126 
2127   PetscFunctionReturn(0);
2128 }
2129 /* ------------------------------------------------------------*/
2130 #undef __FUNCT__
2131 #define __FUNCT__ "MatGetInfo"
2132 /*@C
2133    MatGetInfo - Returns information about matrix storage (number of
2134    nonzeros, memory, etc.).
2135 
2136    Collective on Mat if MAT_GLOBAL_MAX or MAT_GLOBAL_SUM is used
2137    as the flag
2138 
2139    Input Parameters:
2140 .  mat - the matrix
2141 
2142    Output Parameters:
2143 +  flag - flag indicating the type of parameters to be returned
2144    (MAT_LOCAL - local matrix, MAT_GLOBAL_MAX - maximum over all processors,
2145    MAT_GLOBAL_SUM - sum over all processors)
2146 -  info - matrix information context
2147 
2148    Notes:
2149    The MatInfo context contains a variety of matrix data, including
2150    number of nonzeros allocated and used, number of mallocs during
2151    matrix assembly, etc.  Additional information for factored matrices
2152    is provided (such as the fill ratio, number of mallocs during
2153    factorization, etc.).  Much of this info is printed to PETSC_STDOUT
2154    when using the runtime options
2155 $       -info -mat_view_info
2156 
2157    Example for C/C++ Users:
2158    See the file ${PETSC_DIR}/include/petscmat.h for a complete list of
2159    data within the MatInfo context.  For example,
2160 .vb
2161       MatInfo info;
2162       Mat     A;
2163       double  mal, nz_a, nz_u;
2164 
2165       MatGetInfo(A,MAT_LOCAL,&info);
2166       mal  = info.mallocs;
2167       nz_a = info.nz_allocated;
2168 .ve
2169 
2170    Example for Fortran Users:
2171    Fortran users should declare info as a double precision
2172    array of dimension MAT_INFO_SIZE, and then extract the parameters
2173    of interest.  See the file ${PETSC_DIR}/include/finclude/petscmat.h
2174    a complete list of parameter names.
2175 .vb
2176       double  precision info(MAT_INFO_SIZE)
2177       double  precision mal, nz_a
2178       Mat     A
2179       integer ierr
2180 
2181       call MatGetInfo(A,MAT_LOCAL,info,ierr)
2182       mal = info(MAT_INFO_MALLOCS)
2183       nz_a = info(MAT_INFO_NZ_ALLOCATED)
2184 .ve
2185 
2186     Level: intermediate
2187 
2188     Concepts: matrices^getting information on
2189 
2190     Developer Note: fortran interface is not autogenerated as the f90
2191     interface defintion cannot be generated correctly [due to MatInfo]
2192 
2193 @*/
2194 PetscErrorCode PETSCMAT_DLLEXPORT MatGetInfo(Mat mat,MatInfoType flag,MatInfo *info)
2195 {
2196   PetscErrorCode ierr;
2197 
2198   PetscFunctionBegin;
2199   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2200   PetscValidType(mat,1);
2201   PetscValidPointer(info,3);
2202   if (!mat->ops->getinfo) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2203   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2204   ierr = (*mat->ops->getinfo)(mat,flag,info);CHKERRQ(ierr);
2205   PetscFunctionReturn(0);
2206 }
2207 
2208 /* ----------------------------------------------------------*/
2209 #undef __FUNCT__
2210 #define __FUNCT__ "MatILUDTFactor"
2211 /*@C
2212    MatILUDTFactor - Performs a drop tolerance ILU factorization.
2213 
2214    Collective on Mat
2215 
2216    Input Parameters:
2217 +  mat - the matrix
2218 .  row - row permutation
2219 .  col - column permutation
2220 -  info - information about the factorization to be done
2221 
2222    Output Parameters:
2223 .  fact - the factored matrix
2224 
2225    Level: developer
2226 
2227    Notes:
2228    Most users should employ the simplified KSP interface for linear solvers
2229    instead of working directly with matrix algebra routines such as this.
2230    See, e.g., KSPCreate().
2231 
2232     Concepts: matrices^ILUDT factorization
2233 
2234 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
2235 @*/
2236 PetscErrorCode PETSCMAT_DLLEXPORT MatILUDTFactor(Mat mat,IS row,IS col,const MatFactorInfo *info,Mat *fact)
2237 {
2238   PetscErrorCode ierr;
2239 
2240   PetscFunctionBegin;
2241   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2242   PetscValidType(mat,1);
2243   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2244   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2245   PetscValidPointer(info,4);
2246   PetscValidPointer(fact,5);
2247   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2248   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2249   if (!mat->ops->iludtfactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2250   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
2251   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2252   ierr = PetscLogEventBegin(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2253   ierr = (*mat->ops->iludtfactor)(mat,row,col,info,fact);CHKERRQ(ierr);
2254   ierr = PetscLogEventEnd(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2255   ierr = PetscObjectStateIncrease((PetscObject)*fact);CHKERRQ(ierr);
2256 
2257   PetscFunctionReturn(0);
2258 }
2259 
2260 #undef __FUNCT__
2261 #define __FUNCT__ "MatLUFactor"
2262 /*@C
2263    MatLUFactor - Performs in-place LU factorization of matrix.
2264 
2265    Collective on Mat
2266 
2267    Input Parameters:
2268 +  mat - the matrix
2269 .  row - row permutation
2270 .  col - column permutation
2271 -  info - options for factorization, includes
2272 $          fill - expected fill as ratio of original fill.
2273 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2274 $                   Run with the option -info to determine an optimal value to use
2275 
2276    Notes:
2277    Most users should employ the simplified KSP interface for linear solvers
2278    instead of working directly with matrix algebra routines such as this.
2279    See, e.g., KSPCreate().
2280 
2281    This changes the state of the matrix to a factored matrix; it cannot be used
2282    for example with MatSetValues() unless one first calls MatSetUnfactored().
2283 
2284    Level: developer
2285 
2286    Concepts: matrices^LU factorization
2287 
2288 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(),
2289           MatGetOrdering(), MatSetUnfactored(), MatFactorInfo
2290 
2291     Developer Note: fortran interface is not autogenerated as the f90
2292     interface defintion cannot be generated correctly [due to MatFactorInfo]
2293 
2294 @*/
2295 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactor(Mat mat,IS row,IS col,const MatFactorInfo *info)
2296 {
2297   PetscErrorCode ierr;
2298 
2299   PetscFunctionBegin;
2300   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2301   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2302   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2303   PetscValidPointer(info,4);
2304   PetscValidType(mat,1);
2305   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2306   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2307   if (!mat->ops->lufactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2308   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2309 
2310   ierr = PetscLogEventBegin(MAT_LUFactor,mat,row,col,0);CHKERRQ(ierr);
2311   ierr = (*mat->ops->lufactor)(mat,row,col,info);CHKERRQ(ierr);
2312   ierr = PetscLogEventEnd(MAT_LUFactor,mat,row,col,0);CHKERRQ(ierr);
2313   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2314   PetscFunctionReturn(0);
2315 }
2316 
2317 #undef __FUNCT__
2318 #define __FUNCT__ "MatILUFactor"
2319 /*@C
2320    MatILUFactor - Performs in-place ILU factorization of matrix.
2321 
2322    Collective on Mat
2323 
2324    Input Parameters:
2325 +  mat - the matrix
2326 .  row - row permutation
2327 .  col - column permutation
2328 -  info - structure containing
2329 $      levels - number of levels of fill.
2330 $      expected fill - as ratio of original fill.
2331 $      1 or 0 - indicating force fill on diagonal (improves robustness for matrices
2332                 missing diagonal entries)
2333 
2334    Notes:
2335    Probably really in-place only when level of fill is zero, otherwise allocates
2336    new space to store factored matrix and deletes previous memory.
2337 
2338    Most users should employ the simplified KSP interface for linear solvers
2339    instead of working directly with matrix algebra routines such as this.
2340    See, e.g., KSPCreate().
2341 
2342    Level: developer
2343 
2344    Concepts: matrices^ILU factorization
2345 
2346 .seealso: MatILUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
2347 
2348     Developer Note: fortran interface is not autogenerated as the f90
2349     interface defintion cannot be generated correctly [due to MatFactorInfo]
2350 
2351 @*/
2352 PetscErrorCode PETSCMAT_DLLEXPORT MatILUFactor(Mat mat,IS row,IS col,const MatFactorInfo *info)
2353 {
2354   PetscErrorCode ierr;
2355 
2356   PetscFunctionBegin;
2357   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2358   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2359   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2360   PetscValidPointer(info,4);
2361   PetscValidType(mat,1);
2362   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
2363   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2364   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2365   if (!mat->ops->ilufactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2366   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2367 
2368   ierr = PetscLogEventBegin(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2369   ierr = (*mat->ops->ilufactor)(mat,row,col,info);CHKERRQ(ierr);
2370   ierr = PetscLogEventEnd(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2371   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2372   PetscFunctionReturn(0);
2373 }
2374 
2375 #undef __FUNCT__
2376 #define __FUNCT__ "MatLUFactorSymbolic"
2377 /*@C
2378    MatLUFactorSymbolic - Performs symbolic LU factorization of matrix.
2379    Call this routine before calling MatLUFactorNumeric().
2380 
2381    Collective on Mat
2382 
2383    Input Parameters:
2384 +  fact - the factor matrix obtained with MatGetFactor()
2385 .  mat - the matrix
2386 .  row, col - row and column permutations
2387 -  info - options for factorization, includes
2388 $          fill - expected fill as ratio of original fill.
2389 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2390 $                   Run with the option -info to determine an optimal value to use
2391 
2392 
2393    Notes:
2394    See the users manual for additional information about
2395    choosing the fill factor for better efficiency.
2396 
2397    Most users should employ the simplified KSP interface for linear solvers
2398    instead of working directly with matrix algebra routines such as this.
2399    See, e.g., KSPCreate().
2400 
2401    Level: developer
2402 
2403    Concepts: matrices^LU symbolic factorization
2404 
2405 .seealso: MatLUFactor(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
2406 
2407     Developer Note: fortran interface is not autogenerated as the f90
2408     interface defintion cannot be generated correctly [due to MatFactorInfo]
2409 
2410 @*/
2411 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactorSymbolic(Mat fact,Mat mat,IS row,IS col,const MatFactorInfo *info)
2412 {
2413   PetscErrorCode ierr;
2414 
2415   PetscFunctionBegin;
2416   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2417   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2418   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2419   PetscValidPointer(info,4);
2420   PetscValidType(mat,1);
2421   PetscValidPointer(fact,5);
2422   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2423   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2424   if (!(fact)->ops->lufactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic LU",((PetscObject)mat)->type_name);
2425   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2426 
2427   ierr = PetscLogEventBegin(MAT_LUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
2428   ierr = (fact->ops->lufactorsymbolic)(fact,mat,row,col,info);CHKERRQ(ierr);
2429   ierr = PetscLogEventEnd(MAT_LUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
2430   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2431   PetscFunctionReturn(0);
2432 }
2433 
2434 #undef __FUNCT__
2435 #define __FUNCT__ "MatLUFactorNumeric"
2436 /*@C
2437    MatLUFactorNumeric - Performs numeric LU factorization of a matrix.
2438    Call this routine after first calling MatLUFactorSymbolic().
2439 
2440    Collective on Mat
2441 
2442    Input Parameters:
2443 +  fact - the factor matrix obtained with MatGetFactor()
2444 .  mat - the matrix
2445 -  info - options for factorization
2446 
2447    Notes:
2448    See MatLUFactor() for in-place factorization.  See
2449    MatCholeskyFactorNumeric() for the symmetric, positive definite case.
2450 
2451    Most users should employ the simplified KSP interface for linear solvers
2452    instead of working directly with matrix algebra routines such as this.
2453    See, e.g., KSPCreate().
2454 
2455    Level: developer
2456 
2457    Concepts: matrices^LU numeric factorization
2458 
2459 .seealso: MatLUFactorSymbolic(), MatLUFactor(), MatCholeskyFactor()
2460 
2461     Developer Note: fortran interface is not autogenerated as the f90
2462     interface defintion cannot be generated correctly [due to MatFactorInfo]
2463 
2464 @*/
2465 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactorNumeric(Mat fact,Mat mat,const MatFactorInfo *info)
2466 {
2467   PetscErrorCode ierr;
2468 
2469   PetscFunctionBegin;
2470   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2471   PetscValidType(mat,1);
2472   PetscValidPointer(fact,2);
2473   PetscValidHeaderSpecific(fact,MAT_COOKIE,2);
2474   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2475   if (mat->rmap->N != (fact)->rmap->N || mat->cmap->N != (fact)->cmap->N) {
2476     SETERRQ4(PETSC_ERR_ARG_SIZ,"Mat mat,Mat fact: global dimensions are different %D should = %D %D should = %D",mat->rmap->N,(fact)->rmap->N,mat->cmap->N,(fact)->cmap->N);
2477   }
2478   if (!(fact)->ops->lufactornumeric) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2479   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2480   ierr = PetscLogEventBegin(MAT_LUFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2481   ierr = (fact->ops->lufactornumeric)(fact,mat,info);CHKERRQ(ierr);
2482   ierr = PetscLogEventEnd(MAT_LUFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2483 
2484   ierr = MatView_Private(fact);CHKERRQ(ierr);
2485   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2486   PetscFunctionReturn(0);
2487 }
2488 
2489 #undef __FUNCT__
2490 #define __FUNCT__ "MatCholeskyFactor"
2491 /*@C
2492    MatCholeskyFactor - Performs in-place Cholesky factorization of a
2493    symmetric matrix.
2494 
2495    Collective on Mat
2496 
2497    Input Parameters:
2498 +  mat - the matrix
2499 .  perm - row and column permutations
2500 -  f - expected fill as ratio of original fill
2501 
2502    Notes:
2503    See MatLUFactor() for the nonsymmetric case.  See also
2504    MatCholeskyFactorSymbolic(), and MatCholeskyFactorNumeric().
2505 
2506    Most users should employ the simplified KSP interface for linear solvers
2507    instead of working directly with matrix algebra routines such as this.
2508    See, e.g., KSPCreate().
2509 
2510    Level: developer
2511 
2512    Concepts: matrices^Cholesky factorization
2513 
2514 .seealso: MatLUFactor(), MatCholeskyFactorSymbolic(), MatCholeskyFactorNumeric()
2515           MatGetOrdering()
2516 
2517     Developer Note: fortran interface is not autogenerated as the f90
2518     interface defintion cannot be generated correctly [due to MatFactorInfo]
2519 
2520 @*/
2521 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactor(Mat mat,IS perm,const MatFactorInfo *info)
2522 {
2523   PetscErrorCode ierr;
2524 
2525   PetscFunctionBegin;
2526   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2527   PetscValidType(mat,1);
2528   PetscValidHeaderSpecific(perm,IS_COOKIE,2);
2529   PetscValidPointer(info,3);
2530   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"Matrix must be square");
2531   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2532   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2533   if (!mat->ops->choleskyfactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2534   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2535 
2536   ierr = PetscLogEventBegin(MAT_CholeskyFactor,mat,perm,0,0);CHKERRQ(ierr);
2537   ierr = (*mat->ops->choleskyfactor)(mat,perm,info);CHKERRQ(ierr);
2538   ierr = PetscLogEventEnd(MAT_CholeskyFactor,mat,perm,0,0);CHKERRQ(ierr);
2539   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2540   PetscFunctionReturn(0);
2541 }
2542 
2543 #undef __FUNCT__
2544 #define __FUNCT__ "MatCholeskyFactorSymbolic"
2545 /*@C
2546    MatCholeskyFactorSymbolic - Performs symbolic Cholesky factorization
2547    of a symmetric matrix.
2548 
2549    Collective on Mat
2550 
2551    Input Parameters:
2552 +  fact - the factor matrix obtained with MatGetFactor()
2553 .  mat - the matrix
2554 .  perm - row and column permutations
2555 -  info - options for factorization, includes
2556 $          fill - expected fill as ratio of original fill.
2557 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2558 $                   Run with the option -info to determine an optimal value to use
2559 
2560    Notes:
2561    See MatLUFactorSymbolic() for the nonsymmetric case.  See also
2562    MatCholeskyFactor() and MatCholeskyFactorNumeric().
2563 
2564    Most users should employ the simplified KSP interface for linear solvers
2565    instead of working directly with matrix algebra routines such as this.
2566    See, e.g., KSPCreate().
2567 
2568    Level: developer
2569 
2570    Concepts: matrices^Cholesky symbolic factorization
2571 
2572 .seealso: MatLUFactorSymbolic(), MatCholeskyFactor(), MatCholeskyFactorNumeric()
2573           MatGetOrdering()
2574 
2575     Developer Note: fortran interface is not autogenerated as the f90
2576     interface defintion cannot be generated correctly [due to MatFactorInfo]
2577 
2578 @*/
2579 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactorSymbolic(Mat fact,Mat mat,IS perm,const MatFactorInfo *info)
2580 {
2581   PetscErrorCode ierr;
2582 
2583   PetscFunctionBegin;
2584   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2585   PetscValidType(mat,1);
2586   if (perm) PetscValidHeaderSpecific(perm,IS_COOKIE,2);
2587   PetscValidPointer(info,3);
2588   PetscValidPointer(fact,4);
2589   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"Matrix must be square");
2590   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2591   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2592   if (!(fact)->ops->choleskyfactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2593   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2594 
2595   ierr = PetscLogEventBegin(MAT_CholeskyFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
2596   ierr = (fact->ops->choleskyfactorsymbolic)(fact,mat,perm,info);CHKERRQ(ierr);
2597   ierr = PetscLogEventEnd(MAT_CholeskyFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
2598   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2599   PetscFunctionReturn(0);
2600 }
2601 
2602 #undef __FUNCT__
2603 #define __FUNCT__ "MatCholeskyFactorNumeric"
2604 /*@C
2605    MatCholeskyFactorNumeric - Performs numeric Cholesky factorization
2606    of a symmetric matrix. Call this routine after first calling
2607    MatCholeskyFactorSymbolic().
2608 
2609    Collective on Mat
2610 
2611    Input Parameters:
2612 +  fact - the factor matrix obtained with MatGetFactor()
2613 .  mat - the initial matrix
2614 .  info - options for factorization
2615 -  fact - the symbolic factor of mat
2616 
2617 
2618    Notes:
2619    Most users should employ the simplified KSP interface for linear solvers
2620    instead of working directly with matrix algebra routines such as this.
2621    See, e.g., KSPCreate().
2622 
2623    Level: developer
2624 
2625    Concepts: matrices^Cholesky numeric factorization
2626 
2627 .seealso: MatCholeskyFactorSymbolic(), MatCholeskyFactor(), MatLUFactorNumeric()
2628 
2629     Developer Note: fortran interface is not autogenerated as the f90
2630     interface defintion cannot be generated correctly [due to MatFactorInfo]
2631 
2632 @*/
2633 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactorNumeric(Mat fact,Mat mat,const MatFactorInfo *info)
2634 {
2635   PetscErrorCode ierr;
2636 
2637   PetscFunctionBegin;
2638   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2639   PetscValidType(mat,1);
2640   PetscValidPointer(fact,2);
2641   PetscValidHeaderSpecific(fact,MAT_COOKIE,2);
2642   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2643   if (!(fact)->ops->choleskyfactornumeric) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2644   if (mat->rmap->N != (fact)->rmap->N || mat->cmap->N != (fact)->cmap->N) {
2645     SETERRQ4(PETSC_ERR_ARG_SIZ,"Mat mat,Mat fact: global dim %D should = %D %D should = %D",mat->rmap->N,(fact)->rmap->N,mat->cmap->N,(fact)->cmap->N);
2646   }
2647   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2648 
2649   ierr = PetscLogEventBegin(MAT_CholeskyFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2650   ierr = (fact->ops->choleskyfactornumeric)(fact,mat,info);CHKERRQ(ierr);
2651   ierr = PetscLogEventEnd(MAT_CholeskyFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2652 
2653   ierr = MatView_Private(fact);CHKERRQ(ierr);
2654   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2655   PetscFunctionReturn(0);
2656 }
2657 
2658 /* ----------------------------------------------------------------*/
2659 #undef __FUNCT__
2660 #define __FUNCT__ "MatSolve"
2661 /*@
2662    MatSolve - Solves A x = b, given a factored matrix.
2663 
2664    Collective on Mat and Vec
2665 
2666    Input Parameters:
2667 +  mat - the factored matrix
2668 -  b - the right-hand-side vector
2669 
2670    Output Parameter:
2671 .  x - the result vector
2672 
2673    Notes:
2674    The vectors b and x cannot be the same.  I.e., one cannot
2675    call MatSolve(A,x,x).
2676 
2677    Notes:
2678    Most users should employ the simplified KSP interface for linear solvers
2679    instead of working directly with matrix algebra routines such as this.
2680    See, e.g., KSPCreate().
2681 
2682    Level: developer
2683 
2684    Concepts: matrices^triangular solves
2685 
2686 .seealso: MatSolveAdd(), MatSolveTranspose(), MatSolveTransposeAdd()
2687 @*/
2688 PetscErrorCode PETSCMAT_DLLEXPORT MatSolve(Mat mat,Vec b,Vec x)
2689 {
2690   PetscErrorCode ierr;
2691 
2692   PetscFunctionBegin;
2693   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2694   PetscValidType(mat,1);
2695   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2696   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2697   PetscCheckSameComm(mat,1,b,2);
2698   PetscCheckSameComm(mat,1,x,3);
2699   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2700   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2701   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2702   if (mat->rmap->N != b->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
2703   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
2704   if (!mat->rmap->N && !mat->cmap->N) PetscFunctionReturn(0);
2705   if (!mat->ops->solve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2706   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2707 
2708   ierr = PetscLogEventBegin(MAT_Solve,mat,b,x,0);CHKERRQ(ierr);
2709   ierr = (*mat->ops->solve)(mat,b,x);CHKERRQ(ierr);
2710   ierr = PetscLogEventEnd(MAT_Solve,mat,b,x,0);CHKERRQ(ierr);
2711   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2712   PetscFunctionReturn(0);
2713 }
2714 
2715 #undef __FUNCT__
2716 #define __FUNCT__ "MatMatSolve_Basic"
2717 PetscErrorCode PETSCMAT_DLLEXPORT MatMatSolve_Basic(Mat A,Mat B,Mat X)
2718 {
2719   PetscErrorCode ierr;
2720   Vec            b,x;
2721   PetscInt       m,N,i;
2722   PetscScalar    *bb,*xx;
2723 
2724   PetscFunctionBegin;
2725   ierr = MatGetArray(B,&bb);CHKERRQ(ierr);
2726   ierr = MatGetArray(X,&xx);CHKERRQ(ierr);
2727   ierr = MatGetLocalSize(B,&m,PETSC_NULL);CHKERRQ(ierr);  /* number local rows */
2728   ierr = MatGetSize(B,PETSC_NULL,&N);CHKERRQ(ierr);       /* total columns in dense matrix */
2729   ierr = MatGetVecs(B,&x,&b);CHKERRQ(ierr);
2730   for (i=0; i<N; i++) {
2731     ierr = VecPlaceArray(b,bb + i*m);CHKERRQ(ierr);
2732     ierr = VecPlaceArray(x,xx + i*m);CHKERRQ(ierr);
2733     ierr = MatSolve(A,b,x);CHKERRQ(ierr);
2734     ierr = VecResetArray(x);CHKERRQ(ierr);
2735     ierr = VecResetArray(b);CHKERRQ(ierr);
2736   }
2737   ierr = VecDestroy(b);CHKERRQ(ierr);
2738   ierr = VecDestroy(x);CHKERRQ(ierr);
2739   ierr = MatRestoreArray(B,&bb);CHKERRQ(ierr);
2740   ierr = MatRestoreArray(X,&xx);CHKERRQ(ierr);
2741   PetscFunctionReturn(0);
2742 }
2743 
2744 #undef __FUNCT__
2745 #define __FUNCT__ "MatMatSolve"
2746 /*@
2747    MatMatSolve - Solves A X = B, given a factored matrix.
2748 
2749    Collective on Mat
2750 
2751    Input Parameters:
2752 +  mat - the factored matrix
2753 -  B - the right-hand-side matrix  (dense matrix)
2754 
2755    Output Parameter:
2756 .  X - the result matrix (dense matrix)
2757 
2758    Notes:
2759    The matrices b and x cannot be the same.  I.e., one cannot
2760    call MatMatSolve(A,x,x).
2761 
2762    Notes:
2763    Most users should usually employ the simplified KSP interface for linear solvers
2764    instead of working directly with matrix algebra routines such as this.
2765    See, e.g., KSPCreate(). However KSP can only solve for one vector (column of X)
2766    at a time.
2767 
2768    Level: developer
2769 
2770    Concepts: matrices^triangular solves
2771 
2772 .seealso: MatMatSolveAdd(), MatMatSolveTranspose(), MatMatSolveTransposeAdd(), MatLUFactor(), MatCholeskyFactor()
2773 @*/
2774 PetscErrorCode PETSCMAT_DLLEXPORT MatMatSolve(Mat A,Mat B,Mat X)
2775 {
2776   PetscErrorCode ierr;
2777 
2778   PetscFunctionBegin;
2779   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
2780   PetscValidType(A,1);
2781   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
2782   PetscValidHeaderSpecific(X,MAT_COOKIE,3);
2783   PetscCheckSameComm(A,1,B,2);
2784   PetscCheckSameComm(A,1,X,3);
2785   if (X == B) SETERRQ(PETSC_ERR_ARG_IDN,"X and B must be different matrices");
2786   if (!A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2787   if (A->cmap->N != X->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat A,Mat X: global dim %D %D",A->cmap->N,X->rmap->N);
2788   if (A->rmap->N != B->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat A,Mat B: global dim %D %D",A->rmap->N,B->rmap->N);
2789   if (A->rmap->n != B->rmap->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat A,Mat B: local dim %D %D",A->rmap->n,B->rmap->n);
2790   if (!A->rmap->N && !A->cmap->N) PetscFunctionReturn(0);
2791   ierr = MatPreallocated(A);CHKERRQ(ierr);
2792 
2793   ierr = PetscLogEventBegin(MAT_MatSolve,A,B,X,0);CHKERRQ(ierr);
2794   if (!A->ops->matsolve) {
2795     ierr = PetscInfo1(A,"Mat type %s using basic MatMatSolve",((PetscObject)A)->type_name);CHKERRQ(ierr);
2796     ierr = MatMatSolve_Basic(A,B,X);CHKERRQ(ierr);
2797   } else {
2798     ierr = (*A->ops->matsolve)(A,B,X);CHKERRQ(ierr);
2799   }
2800   ierr = PetscLogEventEnd(MAT_MatSolve,A,B,X,0);CHKERRQ(ierr);
2801   ierr = PetscObjectStateIncrease((PetscObject)X);CHKERRQ(ierr);
2802   PetscFunctionReturn(0);
2803 }
2804 
2805 
2806 #undef __FUNCT__
2807 #define __FUNCT__ "MatForwardSolve"
2808 /* @
2809    MatForwardSolve - Solves L x = b, given a factored matrix, A = LU, or
2810                             U^T*D^(1/2) x = b, given a factored symmetric matrix, A = U^T*D*U,
2811 
2812    Collective on Mat and Vec
2813 
2814    Input Parameters:
2815 +  mat - the factored matrix
2816 -  b - the right-hand-side vector
2817 
2818    Output Parameter:
2819 .  x - the result vector
2820 
2821    Notes:
2822    MatSolve() should be used for most applications, as it performs
2823    a forward solve followed by a backward solve.
2824 
2825    The vectors b and x cannot be the same,  i.e., one cannot
2826    call MatForwardSolve(A,x,x).
2827 
2828    For matrix in seqsbaij format with block size larger than 1,
2829    the diagonal blocks are not implemented as D = D^(1/2) * D^(1/2) yet.
2830    MatForwardSolve() solves U^T*D y = b, and
2831    MatBackwardSolve() solves U x = y.
2832    Thus they do not provide a symmetric preconditioner.
2833 
2834    Most users should employ the simplified KSP interface for linear solvers
2835    instead of working directly with matrix algebra routines such as this.
2836    See, e.g., KSPCreate().
2837 
2838    Level: developer
2839 
2840    Concepts: matrices^forward solves
2841 
2842 .seealso: MatSolve(), MatBackwardSolve()
2843 @ */
2844 PetscErrorCode PETSCMAT_DLLEXPORT MatForwardSolve(Mat mat,Vec b,Vec x)
2845 {
2846   PetscErrorCode ierr;
2847 
2848   PetscFunctionBegin;
2849   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2850   PetscValidType(mat,1);
2851   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2852   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2853   PetscCheckSameComm(mat,1,b,2);
2854   PetscCheckSameComm(mat,1,x,3);
2855   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2856   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2857   if (!mat->ops->forwardsolve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2858   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2859   if (mat->rmap->N != b->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
2860   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
2861   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2862   ierr = PetscLogEventBegin(MAT_ForwardSolve,mat,b,x,0);CHKERRQ(ierr);
2863   ierr = (*mat->ops->forwardsolve)(mat,b,x);CHKERRQ(ierr);
2864   ierr = PetscLogEventEnd(MAT_ForwardSolve,mat,b,x,0);CHKERRQ(ierr);
2865   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2866   PetscFunctionReturn(0);
2867 }
2868 
2869 #undef __FUNCT__
2870 #define __FUNCT__ "MatBackwardSolve"
2871 /* @
2872    MatBackwardSolve - Solves U x = b, given a factored matrix, A = LU.
2873                              D^(1/2) U x = b, given a factored symmetric matrix, A = U^T*D*U,
2874 
2875    Collective on Mat and Vec
2876 
2877    Input Parameters:
2878 +  mat - the factored matrix
2879 -  b - the right-hand-side vector
2880 
2881    Output Parameter:
2882 .  x - the result vector
2883 
2884    Notes:
2885    MatSolve() should be used for most applications, as it performs
2886    a forward solve followed by a backward solve.
2887 
2888    The vectors b and x cannot be the same.  I.e., one cannot
2889    call MatBackwardSolve(A,x,x).
2890 
2891    For matrix in seqsbaij format with block size larger than 1,
2892    the diagonal blocks are not implemented as D = D^(1/2) * D^(1/2) yet.
2893    MatForwardSolve() solves U^T*D y = b, and
2894    MatBackwardSolve() solves U x = y.
2895    Thus they do not provide a symmetric preconditioner.
2896 
2897    Most users should employ the simplified KSP interface for linear solvers
2898    instead of working directly with matrix algebra routines such as this.
2899    See, e.g., KSPCreate().
2900 
2901    Level: developer
2902 
2903    Concepts: matrices^backward solves
2904 
2905 .seealso: MatSolve(), MatForwardSolve()
2906 @ */
2907 PetscErrorCode PETSCMAT_DLLEXPORT MatBackwardSolve(Mat mat,Vec b,Vec x)
2908 {
2909   PetscErrorCode ierr;
2910 
2911   PetscFunctionBegin;
2912   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2913   PetscValidType(mat,1);
2914   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2915   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2916   PetscCheckSameComm(mat,1,b,2);
2917   PetscCheckSameComm(mat,1,x,3);
2918   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2919   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2920   if (!mat->ops->backwardsolve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2921   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2922   if (mat->rmap->N != b->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
2923   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
2924   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2925 
2926   ierr = PetscLogEventBegin(MAT_BackwardSolve,mat,b,x,0);CHKERRQ(ierr);
2927   ierr = (*mat->ops->backwardsolve)(mat,b,x);CHKERRQ(ierr);
2928   ierr = PetscLogEventEnd(MAT_BackwardSolve,mat,b,x,0);CHKERRQ(ierr);
2929   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2930   PetscFunctionReturn(0);
2931 }
2932 
2933 #undef __FUNCT__
2934 #define __FUNCT__ "MatSolveAdd"
2935 /*@
2936    MatSolveAdd - Computes x = y + inv(A)*b, given a factored matrix.
2937 
2938    Collective on Mat and Vec
2939 
2940    Input Parameters:
2941 +  mat - the factored matrix
2942 .  b - the right-hand-side vector
2943 -  y - the vector to be added to
2944 
2945    Output Parameter:
2946 .  x - the result vector
2947 
2948    Notes:
2949    The vectors b and x cannot be the same.  I.e., one cannot
2950    call MatSolveAdd(A,x,y,x).
2951 
2952    Most users should employ the simplified KSP interface for linear solvers
2953    instead of working directly with matrix algebra routines such as this.
2954    See, e.g., KSPCreate().
2955 
2956    Level: developer
2957 
2958    Concepts: matrices^triangular solves
2959 
2960 .seealso: MatSolve(), MatSolveTranspose(), MatSolveTransposeAdd()
2961 @*/
2962 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveAdd(Mat mat,Vec b,Vec y,Vec x)
2963 {
2964   PetscScalar    one = 1.0;
2965   Vec            tmp;
2966   PetscErrorCode ierr;
2967 
2968   PetscFunctionBegin;
2969   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2970   PetscValidType(mat,1);
2971   PetscValidHeaderSpecific(y,VEC_COOKIE,2);
2972   PetscValidHeaderSpecific(b,VEC_COOKIE,3);
2973   PetscValidHeaderSpecific(x,VEC_COOKIE,4);
2974   PetscCheckSameComm(mat,1,b,2);
2975   PetscCheckSameComm(mat,1,y,2);
2976   PetscCheckSameComm(mat,1,x,3);
2977   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2978   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2979   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
2980   if (mat->rmap->N != b->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
2981   if (mat->rmap->N != y->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->rmap->N,y->map->N);
2982   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
2983   if (x->map->n != y->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Vec x,Vec y: local dim %D %D",x->map->n,y->map->n);
2984   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2985 
2986   ierr = PetscLogEventBegin(MAT_SolveAdd,mat,b,x,y);CHKERRQ(ierr);
2987   if (mat->ops->solveadd)  {
2988     ierr = (*mat->ops->solveadd)(mat,b,y,x);CHKERRQ(ierr);
2989   } else {
2990     /* do the solve then the add manually */
2991     if (x != y) {
2992       ierr = MatSolve(mat,b,x);CHKERRQ(ierr);
2993       ierr = VecAXPY(x,one,y);CHKERRQ(ierr);
2994     } else {
2995       ierr = VecDuplicate(x,&tmp);CHKERRQ(ierr);
2996       ierr = PetscLogObjectParent(mat,tmp);CHKERRQ(ierr);
2997       ierr = VecCopy(x,tmp);CHKERRQ(ierr);
2998       ierr = MatSolve(mat,b,x);CHKERRQ(ierr);
2999       ierr = VecAXPY(x,one,tmp);CHKERRQ(ierr);
3000       ierr = VecDestroy(tmp);CHKERRQ(ierr);
3001     }
3002   }
3003   ierr = PetscLogEventEnd(MAT_SolveAdd,mat,b,x,y);CHKERRQ(ierr);
3004   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3005   PetscFunctionReturn(0);
3006 }
3007 
3008 #undef __FUNCT__
3009 #define __FUNCT__ "MatSolveTranspose"
3010 /*@
3011    MatSolveTranspose - Solves A' x = b, given a factored matrix.
3012 
3013    Collective on Mat and Vec
3014 
3015    Input Parameters:
3016 +  mat - the factored matrix
3017 -  b - the right-hand-side vector
3018 
3019    Output Parameter:
3020 .  x - the result vector
3021 
3022    Notes:
3023    The vectors b and x cannot be the same.  I.e., one cannot
3024    call MatSolveTranspose(A,x,x).
3025 
3026    Most users should employ the simplified KSP interface for linear solvers
3027    instead of working directly with matrix algebra routines such as this.
3028    See, e.g., KSPCreate().
3029 
3030    Level: developer
3031 
3032    Concepts: matrices^triangular solves
3033 
3034 .seealso: MatSolve(), MatSolveAdd(), MatSolveTransposeAdd()
3035 @*/
3036 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveTranspose(Mat mat,Vec b,Vec x)
3037 {
3038   PetscErrorCode ierr;
3039 
3040   PetscFunctionBegin;
3041   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3042   PetscValidType(mat,1);
3043   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
3044   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
3045   PetscCheckSameComm(mat,1,b,2);
3046   PetscCheckSameComm(mat,1,x,3);
3047   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3048   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3049   if (!mat->ops->solvetranspose) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s",((PetscObject)mat)->type_name);
3050   if (mat->rmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->rmap->N,x->map->N);
3051   if (mat->cmap->N != b->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->cmap->N,b->map->N);
3052   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3053   ierr = PetscLogEventBegin(MAT_SolveTranspose,mat,b,x,0);CHKERRQ(ierr);
3054   ierr = (*mat->ops->solvetranspose)(mat,b,x);CHKERRQ(ierr);
3055   ierr = PetscLogEventEnd(MAT_SolveTranspose,mat,b,x,0);CHKERRQ(ierr);
3056   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3057   PetscFunctionReturn(0);
3058 }
3059 
3060 #undef __FUNCT__
3061 #define __FUNCT__ "MatSolveTransposeAdd"
3062 /*@
3063    MatSolveTransposeAdd - Computes x = y + inv(Transpose(A)) b, given a
3064                       factored matrix.
3065 
3066    Collective on Mat and Vec
3067 
3068    Input Parameters:
3069 +  mat - the factored matrix
3070 .  b - the right-hand-side vector
3071 -  y - the vector to be added to
3072 
3073    Output Parameter:
3074 .  x - the result vector
3075 
3076    Notes:
3077    The vectors b and x cannot be the same.  I.e., one cannot
3078    call MatSolveTransposeAdd(A,x,y,x).
3079 
3080    Most users should employ the simplified KSP interface for linear solvers
3081    instead of working directly with matrix algebra routines such as this.
3082    See, e.g., KSPCreate().
3083 
3084    Level: developer
3085 
3086    Concepts: matrices^triangular solves
3087 
3088 .seealso: MatSolve(), MatSolveAdd(), MatSolveTranspose()
3089 @*/
3090 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveTransposeAdd(Mat mat,Vec b,Vec y,Vec x)
3091 {
3092   PetscScalar    one = 1.0;
3093   PetscErrorCode ierr;
3094   Vec            tmp;
3095 
3096   PetscFunctionBegin;
3097   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3098   PetscValidType(mat,1);
3099   PetscValidHeaderSpecific(y,VEC_COOKIE,2);
3100   PetscValidHeaderSpecific(b,VEC_COOKIE,3);
3101   PetscValidHeaderSpecific(x,VEC_COOKIE,4);
3102   PetscCheckSameComm(mat,1,b,2);
3103   PetscCheckSameComm(mat,1,y,3);
3104   PetscCheckSameComm(mat,1,x,4);
3105   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3106   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3107   if (mat->rmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->rmap->N,x->map->N);
3108   if (mat->cmap->N != b->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->cmap->N,b->map->N);
3109   if (mat->cmap->N != y->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->cmap->N,y->map->N);
3110   if (x->map->n != y->map->n)   SETERRQ2(PETSC_ERR_ARG_SIZ,"Vec x,Vec y: local dim %D %D",x->map->n,y->map->n);
3111   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3112 
3113   ierr = PetscLogEventBegin(MAT_SolveTransposeAdd,mat,b,x,y);CHKERRQ(ierr);
3114   if (mat->ops->solvetransposeadd) {
3115     ierr = (*mat->ops->solvetransposeadd)(mat,b,y,x);CHKERRQ(ierr);
3116   } else {
3117     /* do the solve then the add manually */
3118     if (x != y) {
3119       ierr = MatSolveTranspose(mat,b,x);CHKERRQ(ierr);
3120       ierr = VecAXPY(x,one,y);CHKERRQ(ierr);
3121     } else {
3122       ierr = VecDuplicate(x,&tmp);CHKERRQ(ierr);
3123       ierr = PetscLogObjectParent(mat,tmp);CHKERRQ(ierr);
3124       ierr = VecCopy(x,tmp);CHKERRQ(ierr);
3125       ierr = MatSolveTranspose(mat,b,x);CHKERRQ(ierr);
3126       ierr = VecAXPY(x,one,tmp);CHKERRQ(ierr);
3127       ierr = VecDestroy(tmp);CHKERRQ(ierr);
3128     }
3129   }
3130   ierr = PetscLogEventEnd(MAT_SolveTransposeAdd,mat,b,x,y);CHKERRQ(ierr);
3131   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3132   PetscFunctionReturn(0);
3133 }
3134 /* ----------------------------------------------------------------*/
3135 
3136 #undef __FUNCT__
3137 #define __FUNCT__ "MatRelax"
3138 /*@
3139    MatRelax - Computes relaxation (SOR, Gauss-Seidel) sweeps.
3140 
3141    Collective on Mat and Vec
3142 
3143    Input Parameters:
3144 +  mat - the matrix
3145 .  b - the right hand side
3146 .  omega - the relaxation factor
3147 .  flag - flag indicating the type of SOR (see below)
3148 .  shift -  diagonal shift
3149 .  its - the number of iterations
3150 -  lits - the number of local iterations
3151 
3152    Output Parameters:
3153 .  x - the solution (can contain an initial guess)
3154 
3155    SOR Flags:
3156 .     SOR_FORWARD_SWEEP - forward SOR
3157 .     SOR_BACKWARD_SWEEP - backward SOR
3158 .     SOR_SYMMETRIC_SWEEP - SSOR (symmetric SOR)
3159 .     SOR_LOCAL_FORWARD_SWEEP - local forward SOR
3160 .     SOR_LOCAL_BACKWARD_SWEEP - local forward SOR
3161 .     SOR_LOCAL_SYMMETRIC_SWEEP - local SSOR
3162 .     SOR_APPLY_UPPER, SOR_APPLY_LOWER - applies
3163          upper/lower triangular part of matrix to
3164          vector (with omega)
3165 .     SOR_ZERO_INITIAL_GUESS - zero initial guess
3166 
3167    Notes:
3168    SOR_LOCAL_FORWARD_SWEEP, SOR_LOCAL_BACKWARD_SWEEP, and
3169    SOR_LOCAL_SYMMETRIC_SWEEP perform separate independent smoothings
3170    on each processor.
3171 
3172    Application programmers will not generally use MatRelax() directly,
3173    but instead will employ the KSP/PC interface.
3174 
3175    Notes for Advanced Users:
3176    The flags are implemented as bitwise inclusive or operations.
3177    For example, use (SOR_ZERO_INITIAL_GUESS | SOR_SYMMETRIC_SWEEP)
3178    to specify a zero initial guess for SSOR.
3179 
3180    Most users should employ the simplified KSP interface for linear solvers
3181    instead of working directly with matrix algebra routines such as this.
3182    See, e.g., KSPCreate().
3183 
3184    See also, MatPBRelax(). This routine will automatically call the point block
3185    version if the point version is not available.
3186 
3187    Level: developer
3188 
3189    Concepts: matrices^relaxation
3190    Concepts: matrices^SOR
3191    Concepts: matrices^Gauss-Seidel
3192 
3193 @*/
3194 PetscErrorCode PETSCMAT_DLLEXPORT MatRelax(Mat mat,Vec b,PetscReal omega,MatSORType flag,PetscReal shift,PetscInt its,PetscInt lits,Vec x)
3195 {
3196   PetscErrorCode ierr;
3197 
3198   PetscFunctionBegin;
3199   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3200   PetscValidType(mat,1);
3201   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
3202   PetscValidHeaderSpecific(x,VEC_COOKIE,8);
3203   PetscCheckSameComm(mat,1,b,2);
3204   PetscCheckSameComm(mat,1,x,8);
3205   if (!mat->ops->relax && !mat->ops->pbrelax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3206   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3207   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3208   if (mat->cmap->N != x->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->cmap->N,x->map->N);
3209   if (mat->rmap->N != b->map->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->rmap->N,b->map->N);
3210   if (mat->rmap->n != b->map->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->rmap->n,b->map->n);
3211   if (its <= 0) SETERRQ1(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D positive",its);
3212   if (lits <= 0) SETERRQ1(PETSC_ERR_ARG_WRONG,"Relaxation requires local its %D positive",lits);
3213 
3214   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3215   ierr = PetscLogEventBegin(MAT_Relax,mat,b,x,0);CHKERRQ(ierr);
3216   if (mat->ops->relax) {
3217     ierr =(*mat->ops->relax)(mat,b,omega,flag,shift,its,lits,x);CHKERRQ(ierr);
3218   } else {
3219     ierr =(*mat->ops->pbrelax)(mat,b,omega,flag,shift,its,lits,x);CHKERRQ(ierr);
3220   }
3221   ierr = PetscLogEventEnd(MAT_Relax,mat,b,x,0);CHKERRQ(ierr);
3222   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3223   PetscFunctionReturn(0);
3224 }
3225 
3226 #undef __FUNCT__
3227 #define __FUNCT__ "MatPBRelax"
3228 /*@
3229    MatPBRelax - Computes relaxation (SOR, Gauss-Seidel) sweeps.
3230 
3231    Collective on Mat and Vec
3232 
3233    See MatRelax() for usage. This is called by MatRelax() when appropriate so need not be called by users.
3234 
3235    For multi-component PDEs where the Jacobian is stored in a point block format
3236    (with the PETSc BAIJ matrix formats) the relaxation is done one point block at
3237    a time. That is, the small (for example, 4 by 4) blocks along the diagonal are solved
3238    simultaneously (that is a 4 by 4 linear solve is done) to update all the values at a point.
3239 
3240    Level: developer
3241 
3242 @*/
3243 PetscErrorCode PETSCMAT_DLLEXPORT MatPBRelax(Mat mat,Vec b,PetscReal omega,MatSORType flag,PetscReal shift,PetscInt its,PetscInt lits,Vec x)
3244 {
3245   PetscErrorCode ierr;
3246 
3247   PetscFunctionBegin;
3248   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3249   PetscValidType(mat,1);
3250   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
3251   PetscValidHeaderSpecific(x,VEC_COOKIE,8);
3252   PetscCheckSameComm(mat,1,b,2);
3253   PetscCheckSameComm(mat,1,x,8);
3254   if (!mat->ops->pbrelax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3255   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3256   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3257   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);
3258   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);
3259   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);
3260   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3261 
3262   ierr = PetscLogEventBegin(MAT_Relax,mat,b,x,0);CHKERRQ(ierr);
3263   ierr =(*mat->ops->pbrelax)(mat,b,omega,flag,shift,its,lits,x);CHKERRQ(ierr);
3264   ierr = PetscLogEventEnd(MAT_Relax,mat,b,x,0);CHKERRQ(ierr);
3265   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3266   PetscFunctionReturn(0);
3267 }
3268 
3269 #undef __FUNCT__
3270 #define __FUNCT__ "MatCopy_Basic"
3271 /*
3272       Default matrix copy routine.
3273 */
3274 PetscErrorCode MatCopy_Basic(Mat A,Mat B,MatStructure str)
3275 {
3276   PetscErrorCode    ierr;
3277   PetscInt          i,rstart,rend,nz;
3278   const PetscInt    *cwork;
3279   const PetscScalar *vwork;
3280 
3281   PetscFunctionBegin;
3282   if (B->assembled) {
3283     ierr = MatZeroEntries(B);CHKERRQ(ierr);
3284   }
3285   ierr = MatGetOwnershipRange(A,&rstart,&rend);CHKERRQ(ierr);
3286   for (i=rstart; i<rend; i++) {
3287     ierr = MatGetRow(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
3288     ierr = MatSetValues(B,1,&i,nz,cwork,vwork,INSERT_VALUES);CHKERRQ(ierr);
3289     ierr = MatRestoreRow(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
3290   }
3291   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3292   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3293   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3294   PetscFunctionReturn(0);
3295 }
3296 
3297 #undef __FUNCT__
3298 #define __FUNCT__ "MatCopy"
3299 /*@
3300    MatCopy - Copys a matrix to another matrix.
3301 
3302    Collective on Mat
3303 
3304    Input Parameters:
3305 +  A - the matrix
3306 -  str - SAME_NONZERO_PATTERN or DIFFERENT_NONZERO_PATTERN
3307 
3308    Output Parameter:
3309 .  B - where the copy is put
3310 
3311    Notes:
3312    If you use SAME_NONZERO_PATTERN then the two matrices had better have the
3313    same nonzero pattern or the routine will crash.
3314 
3315    MatCopy() copies the matrix entries of a matrix to another existing
3316    matrix (after first zeroing the second matrix).  A related routine is
3317    MatConvert(), which first creates a new matrix and then copies the data.
3318 
3319    Level: intermediate
3320 
3321    Concepts: matrices^copying
3322 
3323 .seealso: MatConvert(), MatDuplicate()
3324 
3325 @*/
3326 PetscErrorCode PETSCMAT_DLLEXPORT MatCopy(Mat A,Mat B,MatStructure str)
3327 {
3328   PetscErrorCode ierr;
3329   PetscInt       i;
3330 
3331   PetscFunctionBegin;
3332   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
3333   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
3334   PetscValidType(A,1);
3335   PetscValidType(B,2);
3336   PetscCheckSameComm(A,1,B,2);
3337   ierr = MatPreallocated(B);CHKERRQ(ierr);
3338   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3339   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3340   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);
3341   ierr = MatPreallocated(A);CHKERRQ(ierr);
3342 
3343   ierr = PetscLogEventBegin(MAT_Copy,A,B,0,0);CHKERRQ(ierr);
3344   if (A->ops->copy) {
3345     ierr = (*A->ops->copy)(A,B,str);CHKERRQ(ierr);
3346   } else { /* generic conversion */
3347     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
3348   }
3349   if (A->mapping) {
3350     if (B->mapping) {ierr = ISLocalToGlobalMappingDestroy(B->mapping);CHKERRQ(ierr);B->mapping = 0;}
3351     ierr = MatSetLocalToGlobalMapping(B,A->mapping);CHKERRQ(ierr);
3352   }
3353   if (A->bmapping) {
3354     if (B->bmapping) {ierr = ISLocalToGlobalMappingDestroy(B->bmapping);CHKERRQ(ierr);B->bmapping = 0;}
3355     ierr = MatSetLocalToGlobalMappingBlock(B,A->mapping);CHKERRQ(ierr);
3356   }
3357 
3358   B->stencil.dim = A->stencil.dim;
3359   B->stencil.noc = A->stencil.noc;
3360   for (i=0; i<=A->stencil.dim; i++) {
3361     B->stencil.dims[i]   = A->stencil.dims[i];
3362     B->stencil.starts[i] = A->stencil.starts[i];
3363   }
3364 
3365   ierr = PetscLogEventEnd(MAT_Copy,A,B,0,0);CHKERRQ(ierr);
3366   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3367   PetscFunctionReturn(0);
3368 }
3369 
3370 #undef __FUNCT__
3371 #define __FUNCT__ "MatConvert"
3372 /*@C
3373    MatConvert - Converts a matrix to another matrix, either of the same
3374    or different type.
3375 
3376    Collective on Mat
3377 
3378    Input Parameters:
3379 +  mat - the matrix
3380 .  newtype - new matrix type.  Use MATSAME to create a new matrix of the
3381    same type as the original matrix.
3382 -  reuse - denotes if the destination matrix is to be created or reused.  Currently
3383    MAT_REUSE_MATRIX is only supported for inplace conversion, otherwise use
3384    MAT_INITIAL_MATRIX.
3385 
3386    Output Parameter:
3387 .  M - pointer to place new matrix
3388 
3389    Notes:
3390    MatConvert() first creates a new matrix and then copies the data from
3391    the first matrix.  A related routine is MatCopy(), which copies the matrix
3392    entries of one matrix to another already existing matrix context.
3393 
3394    Cannot be used to convert a sequential matrix to parallel or parallel to sequential,
3395    the MPI communicator of the generated matrix is always the same as the communicator
3396    of the input matrix.
3397 
3398    Level: intermediate
3399 
3400    Concepts: matrices^converting between storage formats
3401 
3402 .seealso: MatCopy(), MatDuplicate()
3403 @*/
3404 PetscErrorCode PETSCMAT_DLLEXPORT MatConvert(Mat mat, const MatType newtype,MatReuse reuse,Mat *M)
3405 {
3406   PetscErrorCode         ierr;
3407   PetscTruth             sametype,issame,flg;
3408   char                   convname[256],mtype[256];
3409   Mat                    B;
3410 
3411   PetscFunctionBegin;
3412   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3413   PetscValidType(mat,1);
3414   PetscValidPointer(M,3);
3415   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3416   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3417   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3418 
3419   ierr = PetscOptionsGetString(((PetscObject)mat)->prefix,"-matconvert_type",mtype,256,&flg);CHKERRQ(ierr);
3420   if (flg) {
3421     newtype = mtype;
3422   }
3423   ierr = PetscTypeCompare((PetscObject)mat,newtype,&sametype);CHKERRQ(ierr);
3424   ierr = PetscStrcmp(newtype,"same",&issame);CHKERRQ(ierr);
3425   if ((reuse == MAT_REUSE_MATRIX) && (mat != *M)) {
3426     SETERRQ(PETSC_ERR_SUP,"MAT_REUSE_MATRIX only supported for in-place conversion currently");
3427   }
3428 
3429   if ((reuse == MAT_REUSE_MATRIX) && (issame || sametype)) PetscFunctionReturn(0);
3430 
3431   if ((sametype || issame) && (reuse==MAT_INITIAL_MATRIX) && mat->ops->duplicate) {
3432     ierr = (*mat->ops->duplicate)(mat,MAT_COPY_VALUES,M);CHKERRQ(ierr);
3433   } else {
3434     PetscErrorCode (*conv)(Mat, const MatType,MatReuse,Mat*)=PETSC_NULL;
3435     const char     *prefix[3] = {"seq","mpi",""};
3436     PetscInt       i;
3437     /*
3438        Order of precedence:
3439        1) See if a specialized converter is known to the current matrix.
3440        2) See if a specialized converter is known to the desired matrix class.
3441        3) See if a good general converter is registered for the desired class
3442           (as of 6/27/03 only MATMPIADJ falls into this category).
3443        4) See if a good general converter is known for the current matrix.
3444        5) Use a really basic converter.
3445     */
3446 
3447     /* 1) See if a specialized converter is known to the current matrix and the desired class */
3448     for (i=0; i<3; i++) {
3449       ierr = PetscStrcpy(convname,"MatConvert_");CHKERRQ(ierr);
3450       ierr = PetscStrcat(convname,((PetscObject)mat)->type_name);CHKERRQ(ierr);
3451       ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
3452       ierr = PetscStrcat(convname,prefix[i]);CHKERRQ(ierr);
3453       ierr = PetscStrcat(convname,newtype);CHKERRQ(ierr);
3454       ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3455       ierr = PetscObjectQueryFunction((PetscObject)mat,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3456       if (conv) goto foundconv;
3457     }
3458 
3459     /* 2)  See if a specialized converter is known to the desired matrix class. */
3460     ierr = MatCreate(((PetscObject)mat)->comm,&B);CHKERRQ(ierr);
3461     ierr = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->N,mat->cmap->N);CHKERRQ(ierr);
3462     ierr = MatSetType(B,newtype);CHKERRQ(ierr);
3463     for (i=0; i<3; i++) {
3464       ierr = PetscStrcpy(convname,"MatConvert_");CHKERRQ(ierr);
3465       ierr = PetscStrcat(convname,((PetscObject)mat)->type_name);CHKERRQ(ierr);
3466       ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
3467       ierr = PetscStrcat(convname,prefix[i]);CHKERRQ(ierr);
3468       ierr = PetscStrcat(convname,newtype);CHKERRQ(ierr);
3469       ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3470       ierr = PetscObjectQueryFunction((PetscObject)B,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3471       if (conv) {
3472         ierr = MatDestroy(B);CHKERRQ(ierr);
3473         goto foundconv;
3474       }
3475     }
3476 
3477     /* 3) See if a good general converter is registered for the desired class */
3478     conv = B->ops->convertfrom;
3479     ierr = MatDestroy(B);CHKERRQ(ierr);
3480     if (conv) goto foundconv;
3481 
3482     /* 4) See if a good general converter is known for the current matrix */
3483     if (mat->ops->convert) {
3484       conv = mat->ops->convert;
3485     }
3486     if (conv) goto foundconv;
3487 
3488     /* 5) Use a really basic converter. */
3489     conv = MatConvert_Basic;
3490 
3491     foundconv:
3492     ierr = PetscLogEventBegin(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3493     ierr = (*conv)(mat,newtype,reuse,M);CHKERRQ(ierr);
3494     ierr = PetscLogEventEnd(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3495   }
3496   ierr = PetscObjectStateIncrease((PetscObject)*M);CHKERRQ(ierr);
3497   PetscFunctionReturn(0);
3498 }
3499 
3500 #undef __FUNCT__
3501 #define __FUNCT__ "MatFactorGetSolverPackage"
3502 /*@C
3503    MatFactorGetSolverPackage - Returns name of the package providing the factorization routines
3504 
3505    Not Collective
3506 
3507    Input Parameter:
3508 .  mat - the matrix, must be a factored matrix
3509 
3510    Output Parameter:
3511 .   type - the string name of the package (do not free this string)
3512 
3513    Notes:
3514       In Fortran you pass in a empty string and the package name will be copied into it.
3515     (Make sure the string is long enough)
3516 
3517    Level: intermediate
3518 
3519 .seealso: MatCopy(), MatDuplicate(), MatGetFactorAvailable(), MatGetFactor()
3520 @*/
3521 PetscErrorCode PETSCMAT_DLLEXPORT MatFactorGetSolverPackage(Mat mat, const MatSolverPackage *type)
3522 {
3523   PetscErrorCode         ierr;
3524   PetscErrorCode         (*conv)(Mat,const MatSolverPackage*);
3525 
3526   PetscFunctionBegin;
3527   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3528   PetscValidType(mat,1);
3529   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
3530   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatFactorGetSolverPackage_C",(void (**)(void))&conv);CHKERRQ(ierr);
3531   if (!conv) {
3532     *type = MAT_SOLVER_PETSC;
3533   } else {
3534     ierr = (*conv)(mat,type);CHKERRQ(ierr);
3535   }
3536   PetscFunctionReturn(0);
3537 }
3538 
3539 #undef __FUNCT__
3540 #define __FUNCT__ "MatGetFactor"
3541 /*@C
3542    MatGetFactor - Returns a matrix suitable to calls to MatXXFactorSymbolic()
3543 
3544    Collective on Mat
3545 
3546    Input Parameters:
3547 +  mat - the matrix
3548 .  type - name of solver type, for example, spooles, superlu, plapack, petsc (to use PETSc's default)
3549 -  ftype - factor type, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ICC, MAT_FACTOR_ILU,
3550 
3551    Output Parameters:
3552 .  f - the factor matrix used with MatXXFactorSymbolic() calls
3553 
3554    Notes:
3555       Some PETSc matrix formats have alternative solvers available that are contained in alternative packages
3556      such as pastix, superlu, mumps, spooles etc.
3557 
3558       PETSc must have been config/configure.py to use the external solver, using the option --download-package
3559 
3560    Level: intermediate
3561 
3562 .seealso: MatCopy(), MatDuplicate(), MatGetFactorAvailable()
3563 @*/
3564 PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor(Mat mat, const MatSolverPackage type,MatFactorType ftype,Mat *f)
3565 {
3566   PetscErrorCode         ierr;
3567   char                   convname[256];
3568   PetscErrorCode         (*conv)(Mat,MatFactorType,Mat*);
3569 
3570   PetscFunctionBegin;
3571   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3572   PetscValidType(mat,1);
3573 
3574   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3575   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3576 
3577   ierr = PetscStrcpy(convname,"MatGetFactor_");CHKERRQ(ierr);
3578   ierr = PetscStrcat(convname,((PetscObject)mat)->type_name);CHKERRQ(ierr);
3579   ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
3580   ierr = PetscStrcat(convname,type);CHKERRQ(ierr);
3581   ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3582   ierr = PetscObjectQueryFunction((PetscObject)mat,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3583   if (!conv) {
3584     PetscTruth flag;
3585     ierr = PetscStrcasecmp(MAT_SOLVER_PETSC,type,&flag);CHKERRQ(ierr);
3586     if (flag) {
3587       SETERRQ1(PETSC_ERR_SUP,"Matrix format %s does not have a built-in PETSc direct solver",((PetscObject)mat)->type_name);
3588     } else {
3589       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);
3590     }
3591   }
3592   ierr = (*conv)(mat,ftype,f);CHKERRQ(ierr);
3593   PetscFunctionReturn(0);
3594 }
3595 
3596 #undef __FUNCT__
3597 #define __FUNCT__ "MatGetFactorAvailable"
3598 /*@C
3599    MatGetFactorAvailable - Returns a a flag if matrix supports particular package and factor type
3600 
3601    Collective on Mat
3602 
3603    Input Parameters:
3604 +  mat - the matrix
3605 .  type - name of solver type, for example, spooles, superlu, plapack, petsc (to use PETSc's default)
3606 -  ftype - factor type, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ICC, MAT_FACTOR_ILU,
3607 
3608    Output Parameter:
3609 .    flg - PETSC_TRUE if the factorization is available
3610 
3611    Notes:
3612       Some PETSc matrix formats have alternative solvers available that are contained in alternative packages
3613      such as pastix, superlu, mumps, spooles etc.
3614 
3615       PETSc must have been config/configure.py to use the external solver, using the option --download-package
3616 
3617    Level: intermediate
3618 
3619 .seealso: MatCopy(), MatDuplicate(), MatGetFactor()
3620 @*/
3621 PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactorAvailable(Mat mat, const MatSolverPackage type,MatFactorType ftype,PetscTruth *flg)
3622 {
3623   PetscErrorCode         ierr;
3624   char                   convname[256];
3625   PetscErrorCode         (*conv)(Mat,MatFactorType,PetscTruth*);
3626 
3627   PetscFunctionBegin;
3628   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3629   PetscValidType(mat,1);
3630 
3631   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3632   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3633 
3634   ierr = PetscStrcpy(convname,"MatGetFactorAvailable_");CHKERRQ(ierr);
3635   ierr = PetscStrcat(convname,((PetscObject)mat)->type_name);CHKERRQ(ierr);
3636   ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
3637   ierr = PetscStrcat(convname,type);CHKERRQ(ierr);
3638   ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3639   ierr = PetscObjectQueryFunction((PetscObject)mat,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3640   if (!conv) {
3641     *flg = PETSC_FALSE;
3642   } else {
3643     ierr = (*conv)(mat,ftype,flg);CHKERRQ(ierr);
3644   }
3645   PetscFunctionReturn(0);
3646 }
3647 
3648 
3649 #undef __FUNCT__
3650 #define __FUNCT__ "MatDuplicate"
3651 /*@
3652    MatDuplicate - Duplicates a matrix including the non-zero structure.
3653 
3654    Collective on Mat
3655 
3656    Input Parameters:
3657 +  mat - the matrix
3658 -  op - either MAT_DO_NOT_COPY_VALUES or MAT_COPY_VALUES, cause it to copy the numerical values in the matrix
3659         MAT_SHARE_NONZERO_PATTERN to share the nonzero patterns with the previous matrix and not copy them.
3660 
3661    Output Parameter:
3662 .  M - pointer to place new matrix
3663 
3664    Level: intermediate
3665 
3666    Concepts: matrices^duplicating
3667 
3668     Notes: You cannot change the nonzero pattern for the parent or child matrix if you use MAT_SHARE_NONZERO_PATTERN.
3669 
3670 .seealso: MatCopy(), MatConvert()
3671 @*/
3672 PetscErrorCode PETSCMAT_DLLEXPORT MatDuplicate(Mat mat,MatDuplicateOption op,Mat *M)
3673 {
3674   PetscErrorCode ierr;
3675   Mat            B;
3676   PetscInt       i;
3677 
3678   PetscFunctionBegin;
3679   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3680   PetscValidType(mat,1);
3681   PetscValidPointer(M,3);
3682   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3683   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3684   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3685 
3686   *M  = 0;
3687   if (!mat->ops->duplicate) {
3688     SETERRQ(PETSC_ERR_SUP,"Not written for this matrix type");
3689   }
3690   ierr = PetscLogEventBegin(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3691   ierr = (*mat->ops->duplicate)(mat,op,M);CHKERRQ(ierr);
3692   B = *M;
3693   if (mat->mapping) {
3694     ierr = MatSetLocalToGlobalMapping(B,mat->mapping);CHKERRQ(ierr);
3695   }
3696   if (mat->bmapping) {
3697     ierr = MatSetLocalToGlobalMappingBlock(B,mat->bmapping);CHKERRQ(ierr);
3698   }
3699   ierr = PetscMapCopy(((PetscObject)mat)->comm,mat->rmap,B->rmap);CHKERRQ(ierr);
3700   ierr = PetscMapCopy(((PetscObject)mat)->comm,mat->cmap,B->cmap);CHKERRQ(ierr);
3701 
3702   B->stencil.dim = mat->stencil.dim;
3703   B->stencil.noc = mat->stencil.noc;
3704   for (i=0; i<=mat->stencil.dim; i++) {
3705     B->stencil.dims[i]   = mat->stencil.dims[i];
3706     B->stencil.starts[i] = mat->stencil.starts[i];
3707   }
3708 
3709   ierr = PetscLogEventEnd(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3710   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3711   PetscFunctionReturn(0);
3712 }
3713 
3714 #undef __FUNCT__
3715 #define __FUNCT__ "MatGetDiagonal"
3716 /*@
3717    MatGetDiagonal - Gets the diagonal of a matrix.
3718 
3719    Collective on Mat and Vec
3720 
3721    Input Parameters:
3722 +  mat - the matrix
3723 -  v - the vector for storing the diagonal
3724 
3725    Output Parameter:
3726 .  v - the diagonal of the matrix
3727 
3728    Level: intermediate
3729 
3730    Concepts: matrices^accessing diagonals
3731 
3732 .seealso: MatGetRow(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs()
3733 @*/
3734 PetscErrorCode PETSCMAT_DLLEXPORT MatGetDiagonal(Mat mat,Vec v)
3735 {
3736   PetscErrorCode ierr;
3737 
3738   PetscFunctionBegin;
3739   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3740   PetscValidType(mat,1);
3741   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3742   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3743   if (!mat->ops->getdiagonal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3744   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3745 
3746   ierr = (*mat->ops->getdiagonal)(mat,v);CHKERRQ(ierr);
3747   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3748   PetscFunctionReturn(0);
3749 }
3750 
3751 #undef __FUNCT__
3752 #define __FUNCT__ "MatGetRowMin"
3753 /*@
3754    MatGetRowMin - Gets the minimum value (of the real part) of each
3755         row of the matrix
3756 
3757    Collective on Mat and Vec
3758 
3759    Input Parameters:
3760 .  mat - the matrix
3761 
3762    Output Parameter:
3763 +  v - the vector for storing the maximums
3764 -  idx - the indices of the column found for each row (optional)
3765 
3766    Level: intermediate
3767 
3768    Notes: The result of this call are the same as if one converted the matrix to dense format
3769       and found the minimum value in each row (i.e. the implicit zeros are counted as zeros).
3770 
3771     This code is only implemented for a couple of matrix formats.
3772 
3773    Concepts: matrices^getting row maximums
3774 
3775 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs(),
3776           MatGetRowMax()
3777 @*/
3778 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMin(Mat mat,Vec v,PetscInt idx[])
3779 {
3780   PetscErrorCode ierr;
3781 
3782   PetscFunctionBegin;
3783   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3784   PetscValidType(mat,1);
3785   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3786   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3787   if (!mat->ops->getrowmax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3788   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3789 
3790   ierr = (*mat->ops->getrowmin)(mat,v,idx);CHKERRQ(ierr);
3791   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3792   PetscFunctionReturn(0);
3793 }
3794 
3795 #undef __FUNCT__
3796 #define __FUNCT__ "MatGetRowMinAbs"
3797 /*@
3798    MatGetRowMinAbs - Gets the minimum value (in absolute value) of each
3799         row of the matrix
3800 
3801    Collective on Mat and Vec
3802 
3803    Input Parameters:
3804 .  mat - the matrix
3805 
3806    Output Parameter:
3807 +  v - the vector for storing the minimums
3808 -  idx - the indices of the column found for each row (optional)
3809 
3810    Level: intermediate
3811 
3812    Notes: if a row is completely empty or has only 0.0 values then the idx[] value for that
3813     row is 0 (the first column).
3814 
3815     This code is only implemented for a couple of matrix formats.
3816 
3817    Concepts: matrices^getting row maximums
3818 
3819 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMaxAbs(), MatGetRowMin()
3820 @*/
3821 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMinAbs(Mat mat,Vec v,PetscInt idx[])
3822 {
3823   PetscErrorCode ierr;
3824 
3825   PetscFunctionBegin;
3826   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3827   PetscValidType(mat,1);
3828   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3829   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3830   if (!mat->ops->getrowminabs) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3831   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3832   if (idx) {ierr = PetscMemzero(idx,mat->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);}
3833 
3834   ierr = (*mat->ops->getrowminabs)(mat,v,idx);CHKERRQ(ierr);
3835   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3836   PetscFunctionReturn(0);
3837 }
3838 
3839 #undef __FUNCT__
3840 #define __FUNCT__ "MatGetRowMax"
3841 /*@
3842    MatGetRowMax - Gets the maximum value (of the real part) of each
3843         row of the matrix
3844 
3845    Collective on Mat and Vec
3846 
3847    Input Parameters:
3848 .  mat - the matrix
3849 
3850    Output Parameter:
3851 +  v - the vector for storing the maximums
3852 -  idx - the indices of the column found for each row (optional)
3853 
3854    Level: intermediate
3855 
3856    Notes: The result of this call are the same as if one converted the matrix to dense format
3857       and found the minimum value in each row (i.e. the implicit zeros are counted as zeros).
3858 
3859     This code is only implemented for a couple of matrix formats.
3860 
3861    Concepts: matrices^getting row maximums
3862 
3863 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs(), MatGetRowMin()
3864 @*/
3865 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMax(Mat mat,Vec v,PetscInt idx[])
3866 {
3867   PetscErrorCode ierr;
3868 
3869   PetscFunctionBegin;
3870   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3871   PetscValidType(mat,1);
3872   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3873   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3874   if (!mat->ops->getrowmax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3875   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3876 
3877   ierr = (*mat->ops->getrowmax)(mat,v,idx);CHKERRQ(ierr);
3878   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3879   PetscFunctionReturn(0);
3880 }
3881 
3882 #undef __FUNCT__
3883 #define __FUNCT__ "MatGetRowMaxAbs"
3884 /*@
3885    MatGetRowMaxAbs - Gets the maximum value (in absolute value) of each
3886         row of the matrix
3887 
3888    Collective on Mat and Vec
3889 
3890    Input Parameters:
3891 .  mat - the matrix
3892 
3893    Output Parameter:
3894 +  v - the vector for storing the maximums
3895 -  idx - the indices of the column found for each row (optional)
3896 
3897    Level: intermediate
3898 
3899    Notes: if a row is completely empty or has only 0.0 values then the idx[] value for that
3900     row is 0 (the first column).
3901 
3902     This code is only implemented for a couple of matrix formats.
3903 
3904    Concepts: matrices^getting row maximums
3905 
3906 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMin()
3907 @*/
3908 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMaxAbs(Mat mat,Vec v,PetscInt idx[])
3909 {
3910   PetscErrorCode ierr;
3911 
3912   PetscFunctionBegin;
3913   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3914   PetscValidType(mat,1);
3915   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3916   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3917   if (!mat->ops->getrowmaxabs) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3918   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3919   if (idx) {ierr = PetscMemzero(idx,mat->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);}
3920 
3921   ierr = (*mat->ops->getrowmaxabs)(mat,v,idx);CHKERRQ(ierr);
3922   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3923   PetscFunctionReturn(0);
3924 }
3925 
3926 #undef __FUNCT__
3927 #define __FUNCT__ "MatGetRowSum"
3928 /*@
3929    MatGetRowSum - Gets the sum of each row of the matrix
3930 
3931    Collective on Mat and Vec
3932 
3933    Input Parameters:
3934 .  mat - the matrix
3935 
3936    Output Parameter:
3937 .  v - the vector for storing the maximums
3938 
3939    Level: intermediate
3940 
3941    Notes: This code is slow since it is not currently specialized for different formats
3942 
3943    Concepts: matrices^getting row sums
3944 
3945 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMin()
3946 @*/
3947 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowSum(Mat mat, Vec v)
3948 {
3949   PetscInt       start, end, row;
3950   PetscScalar   *array;
3951   PetscErrorCode ierr;
3952 
3953   PetscFunctionBegin;
3954   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3955   PetscValidType(mat,1);
3956   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3957   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3958   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3959   ierr = MatGetOwnershipRange(mat, &start, &end);CHKERRQ(ierr);
3960   ierr = VecGetArray(v, &array);CHKERRQ(ierr);
3961   for(row = start; row < end; ++row) {
3962     PetscInt           ncols, col;
3963     const PetscInt    *cols;
3964     const PetscScalar *vals;
3965 
3966     array[row - start] = 0.0;
3967     ierr = MatGetRow(mat, row, &ncols, &cols, &vals);CHKERRQ(ierr);
3968     for(col = 0; col < ncols; col++) {
3969       array[row - start] += vals[col];
3970     }
3971     ierr = MatRestoreRow(mat, row, &ncols, &cols, &vals);CHKERRQ(ierr);
3972   }
3973   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
3974   ierr = PetscObjectStateIncrease((PetscObject) v);CHKERRQ(ierr);
3975   PetscFunctionReturn(0);
3976 }
3977 
3978 #undef __FUNCT__
3979 #define __FUNCT__ "MatTranspose"
3980 /*@
3981    MatTranspose - Computes an in-place or out-of-place transpose of a matrix.
3982 
3983    Collective on Mat
3984 
3985    Input Parameter:
3986 +  mat - the matrix to transpose
3987 -  reuse - store the transpose matrix in the provided B
3988 
3989    Output Parameters:
3990 .  B - the transpose
3991 
3992    Notes:
3993      If you  pass in &mat for B the transpose will be done in place
3994 
3995    Level: intermediate
3996 
3997    Concepts: matrices^transposing
3998 
3999 .seealso: MatMultTranspose(), MatMultTransposeAdd(), MatIsTranspose()
4000 @*/
4001 PetscErrorCode PETSCMAT_DLLEXPORT MatTranspose(Mat mat,MatReuse reuse,Mat *B)
4002 {
4003   PetscErrorCode ierr;
4004 
4005   PetscFunctionBegin;
4006   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4007   PetscValidType(mat,1);
4008   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4009   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4010   if (!mat->ops->transpose) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4011   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4012 
4013   ierr = PetscLogEventBegin(MAT_Transpose,mat,0,0,0);CHKERRQ(ierr);
4014   ierr = (*mat->ops->transpose)(mat,reuse,B);CHKERRQ(ierr);
4015   ierr = PetscLogEventEnd(MAT_Transpose,mat,0,0,0);CHKERRQ(ierr);
4016   if (B) {ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);}
4017   PetscFunctionReturn(0);
4018 }
4019 
4020 #undef __FUNCT__
4021 #define __FUNCT__ "MatIsTranspose"
4022 /*@
4023    MatIsTranspose - Test whether a matrix is another one's transpose,
4024         or its own, in which case it tests symmetry.
4025 
4026    Collective on Mat
4027 
4028    Input Parameter:
4029 +  A - the matrix to test
4030 -  B - the matrix to test against, this can equal the first parameter
4031 
4032    Output Parameters:
4033 .  flg - the result
4034 
4035    Notes:
4036    Only available for SeqAIJ/MPIAIJ matrices. The sequential algorithm
4037    has a running time of the order of the number of nonzeros; the parallel
4038    test involves parallel copies of the block-offdiagonal parts of the matrix.
4039 
4040    Level: intermediate
4041 
4042    Concepts: matrices^transposing, matrix^symmetry
4043 
4044 .seealso: MatTranspose(), MatIsSymmetric(), MatIsHermitian()
4045 @*/
4046 PetscErrorCode PETSCMAT_DLLEXPORT MatIsTranspose(Mat A,Mat B,PetscReal tol,PetscTruth *flg)
4047 {
4048   PetscErrorCode ierr,(*f)(Mat,Mat,PetscReal,PetscTruth*),(*g)(Mat,Mat,PetscReal,PetscTruth*);
4049 
4050   PetscFunctionBegin;
4051   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
4052   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
4053   PetscValidPointer(flg,3);
4054   ierr = PetscObjectQueryFunction((PetscObject)A,"MatIsTranspose_C",(void (**)(void))&f);CHKERRQ(ierr);
4055   ierr = PetscObjectQueryFunction((PetscObject)B,"MatIsTranspose_C",(void (**)(void))&g);CHKERRQ(ierr);
4056   if (f && g) {
4057     if (f==g) {
4058       ierr = (*f)(A,B,tol,flg);CHKERRQ(ierr);
4059     } else {
4060       SETERRQ(PETSC_ERR_ARG_NOTSAMETYPE,"Matrices do not have the same comparator for symmetry test");
4061     }
4062   }
4063   PetscFunctionReturn(0);
4064 }
4065 
4066 #undef __FUNCT__
4067 #define __FUNCT__ "MatIsHermitianTranspose"
4068 /*@
4069    MatIsHermitianTranspose - Test whether a matrix is another one's Hermitian transpose,
4070 
4071    Collective on Mat
4072 
4073    Input Parameter:
4074 +  A - the matrix to test
4075 -  B - the matrix to test against, this can equal the first parameter
4076 
4077    Output Parameters:
4078 .  flg - the result
4079 
4080    Notes:
4081    Only available for SeqAIJ/MPIAIJ matrices. The sequential algorithm
4082    has a running time of the order of the number of nonzeros; the parallel
4083    test involves parallel copies of the block-offdiagonal parts of the matrix.
4084 
4085    Level: intermediate
4086 
4087    Concepts: matrices^transposing, matrix^symmetry
4088 
4089 .seealso: MatTranspose(), MatIsSymmetric(), MatIsHermitian(), MatIsTranspose()
4090 @*/
4091 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitianTranspose(Mat A,Mat B,PetscReal tol,PetscTruth *flg)
4092 {
4093   PetscErrorCode ierr,(*f)(Mat,Mat,PetscReal,PetscTruth*),(*g)(Mat,Mat,PetscReal,PetscTruth*);
4094 
4095   PetscFunctionBegin;
4096   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
4097   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
4098   PetscValidPointer(flg,3);
4099   ierr = PetscObjectQueryFunction((PetscObject)A,"MatIsHermitianTranspose_C",(void (**)(void))&f);CHKERRQ(ierr);
4100   ierr = PetscObjectQueryFunction((PetscObject)B,"MatIsHermitianTranspose_C",(void (**)(void))&g);CHKERRQ(ierr);
4101   if (f && g) {
4102     if (f==g) {
4103       ierr = (*f)(A,B,tol,flg);CHKERRQ(ierr);
4104     } else {
4105       SETERRQ(PETSC_ERR_ARG_NOTSAMETYPE,"Matrices do not have the same comparator for Hermitian test");
4106     }
4107   }
4108   PetscFunctionReturn(0);
4109 }
4110 
4111 #undef __FUNCT__
4112 #define __FUNCT__ "MatPermute"
4113 /*@
4114    MatPermute - Creates a new matrix with rows and columns permuted from the
4115    original.
4116 
4117    Collective on Mat
4118 
4119    Input Parameters:
4120 +  mat - the matrix to permute
4121 .  row - row permutation, each processor supplies only the permutation for its rows
4122 -  col - column permutation, each processor needs the entire column permutation, that is
4123          this is the same size as the total number of columns in the matrix. It can often
4124          be obtained with ISAllGather() on the row permutation
4125 
4126    Output Parameters:
4127 .  B - the permuted matrix
4128 
4129    Level: advanced
4130 
4131    Concepts: matrices^permuting
4132 
4133 .seealso: MatGetOrdering(), ISAllGather()
4134 
4135 @*/
4136 PetscErrorCode PETSCMAT_DLLEXPORT MatPermute(Mat mat,IS row,IS col,Mat *B)
4137 {
4138   PetscErrorCode ierr;
4139 
4140   PetscFunctionBegin;
4141   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4142   PetscValidType(mat,1);
4143   PetscValidHeaderSpecific(row,IS_COOKIE,2);
4144   PetscValidHeaderSpecific(col,IS_COOKIE,3);
4145   PetscValidPointer(B,4);
4146   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4147   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4148   if (!mat->ops->permute) SETERRQ1(PETSC_ERR_SUP,"MatPermute not available for Mat type %s",((PetscObject)mat)->type_name);
4149   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4150 
4151   ierr = (*mat->ops->permute)(mat,row,col,B);CHKERRQ(ierr);
4152   ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);
4153   PetscFunctionReturn(0);
4154 }
4155 
4156 #undef __FUNCT__
4157 #define __FUNCT__ "MatPermuteSparsify"
4158 /*@
4159   MatPermuteSparsify - Creates a new matrix with rows and columns permuted from the
4160   original and sparsified to the prescribed tolerance.
4161 
4162   Collective on Mat
4163 
4164   Input Parameters:
4165 + A    - The matrix to permute
4166 . band - The half-bandwidth of the sparsified matrix, or PETSC_DECIDE
4167 . frac - The half-bandwidth as a fraction of the total size, or 0.0
4168 . tol  - The drop tolerance
4169 . rowp - The row permutation
4170 - colp - The column permutation
4171 
4172   Output Parameter:
4173 . B    - The permuted, sparsified matrix
4174 
4175   Level: advanced
4176 
4177   Note:
4178   The default behavior (band = PETSC_DECIDE and frac = 0.0) is to
4179   restrict the half-bandwidth of the resulting matrix to 5% of the
4180   total matrix size.
4181 
4182 .keywords: matrix, permute, sparsify
4183 
4184 .seealso: MatGetOrdering(), MatPermute()
4185 @*/
4186 PetscErrorCode PETSCMAT_DLLEXPORT MatPermuteSparsify(Mat A, PetscInt band, PetscReal frac, PetscReal tol, IS rowp, IS colp, Mat *B)
4187 {
4188   IS                irowp, icolp;
4189   const PetscInt    *rows, *cols;
4190   PetscInt          M, N, locRowStart, locRowEnd;
4191   PetscInt          nz, newNz;
4192   const PetscInt    *cwork;
4193   PetscInt          *cnew;
4194   const PetscScalar *vwork;
4195   PetscScalar       *vnew;
4196   PetscInt          bw, issize;
4197   PetscInt          row, locRow, newRow, col, newCol;
4198   PetscErrorCode    ierr;
4199 
4200   PetscFunctionBegin;
4201   PetscValidHeaderSpecific(A,    MAT_COOKIE,1);
4202   PetscValidHeaderSpecific(rowp, IS_COOKIE,5);
4203   PetscValidHeaderSpecific(colp, IS_COOKIE,6);
4204   PetscValidPointer(B,7);
4205   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE, "Not for unassembled matrix");
4206   if (A->factor)     SETERRQ(PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix");
4207   if (!A->ops->permutesparsify) {
4208     ierr = MatGetSize(A, &M, &N);CHKERRQ(ierr);
4209     ierr = MatGetOwnershipRange(A, &locRowStart, &locRowEnd);CHKERRQ(ierr);
4210     ierr = ISGetSize(rowp, &issize);CHKERRQ(ierr);
4211     if (issize != M) SETERRQ2(PETSC_ERR_ARG_WRONG, "Wrong size %D for row permutation, should be %D", issize, M);
4212     ierr = ISGetSize(colp, &issize);CHKERRQ(ierr);
4213     if (issize != N) SETERRQ2(PETSC_ERR_ARG_WRONG, "Wrong size %D for column permutation, should be %D", issize, N);
4214     ierr = ISInvertPermutation(rowp, 0, &irowp);CHKERRQ(ierr);
4215     ierr = ISGetIndices(irowp, &rows);CHKERRQ(ierr);
4216     ierr = ISInvertPermutation(colp, 0, &icolp);CHKERRQ(ierr);
4217     ierr = ISGetIndices(icolp, &cols);CHKERRQ(ierr);
4218     ierr = PetscMalloc(N * sizeof(PetscInt),         &cnew);CHKERRQ(ierr);
4219     ierr = PetscMalloc(N * sizeof(PetscScalar), &vnew);CHKERRQ(ierr);
4220 
4221     /* Setup bandwidth to include */
4222     if (band == PETSC_DECIDE) {
4223       if (frac <= 0.0)
4224         bw = (PetscInt) (M * 0.05);
4225       else
4226         bw = (PetscInt) (M * frac);
4227     } else {
4228       if (band <= 0) SETERRQ(PETSC_ERR_ARG_WRONG, "Bandwidth must be a positive integer");
4229       bw = band;
4230     }
4231 
4232     /* Put values into new matrix */
4233     ierr = MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, B);CHKERRQ(ierr);
4234     for(row = locRowStart, locRow = 0; row < locRowEnd; row++, locRow++) {
4235       ierr = MatGetRow(A, row, &nz, &cwork, &vwork);CHKERRQ(ierr);
4236       newRow   = rows[locRow]+locRowStart;
4237       for(col = 0, newNz = 0; col < nz; col++) {
4238         newCol = cols[cwork[col]];
4239         if ((newCol >= newRow - bw) && (newCol < newRow + bw) && (PetscAbsScalar(vwork[col]) >= tol)) {
4240           cnew[newNz] = newCol;
4241           vnew[newNz] = vwork[col];
4242           newNz++;
4243         }
4244       }
4245       ierr = MatSetValues(*B, 1, &newRow, newNz, cnew, vnew, INSERT_VALUES);CHKERRQ(ierr);
4246       ierr = MatRestoreRow(A, row, &nz, &cwork, &vwork);CHKERRQ(ierr);
4247     }
4248     ierr = PetscFree(cnew);CHKERRQ(ierr);
4249     ierr = PetscFree(vnew);CHKERRQ(ierr);
4250     ierr = MatAssemblyBegin(*B, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4251     ierr = MatAssemblyEnd(*B, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4252     ierr = ISRestoreIndices(irowp, &rows);CHKERRQ(ierr);
4253     ierr = ISRestoreIndices(icolp, &cols);CHKERRQ(ierr);
4254     ierr = ISDestroy(irowp);CHKERRQ(ierr);
4255     ierr = ISDestroy(icolp);CHKERRQ(ierr);
4256   } else {
4257     ierr = (*A->ops->permutesparsify)(A, band, frac, tol, rowp, colp, B);CHKERRQ(ierr);
4258   }
4259   ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);
4260   PetscFunctionReturn(0);
4261 }
4262 
4263 #undef __FUNCT__
4264 #define __FUNCT__ "MatEqual"
4265 /*@
4266    MatEqual - Compares two matrices.
4267 
4268    Collective on Mat
4269 
4270    Input Parameters:
4271 +  A - the first matrix
4272 -  B - the second matrix
4273 
4274    Output Parameter:
4275 .  flg - PETSC_TRUE if the matrices are equal; PETSC_FALSE otherwise.
4276 
4277    Level: intermediate
4278 
4279    Concepts: matrices^equality between
4280 @*/
4281 PetscErrorCode PETSCMAT_DLLEXPORT MatEqual(Mat A,Mat B,PetscTruth *flg)
4282 {
4283   PetscErrorCode ierr;
4284 
4285   PetscFunctionBegin;
4286   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
4287   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
4288   PetscValidType(A,1);
4289   PetscValidType(B,2);
4290   PetscValidIntPointer(flg,3);
4291   PetscCheckSameComm(A,1,B,2);
4292   ierr = MatPreallocated(B);CHKERRQ(ierr);
4293   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4294   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4295   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);
4296   if (!A->ops->equal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)A)->type_name);
4297   if (!B->ops->equal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)B)->type_name);
4298   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);
4299   ierr = MatPreallocated(A);CHKERRQ(ierr);
4300 
4301   ierr = (*A->ops->equal)(A,B,flg);CHKERRQ(ierr);
4302   PetscFunctionReturn(0);
4303 }
4304 
4305 #undef __FUNCT__
4306 #define __FUNCT__ "MatDiagonalScale"
4307 /*@
4308    MatDiagonalScale - Scales a matrix on the left and right by diagonal
4309    matrices that are stored as vectors.  Either of the two scaling
4310    matrices can be PETSC_NULL.
4311 
4312    Collective on Mat
4313 
4314    Input Parameters:
4315 +  mat - the matrix to be scaled
4316 .  l - the left scaling vector (or PETSC_NULL)
4317 -  r - the right scaling vector (or PETSC_NULL)
4318 
4319    Notes:
4320    MatDiagonalScale() computes A = LAR, where
4321    L = a diagonal matrix (stored as a vector), R = a diagonal matrix (stored as a vector)
4322 
4323    Level: intermediate
4324 
4325    Concepts: matrices^diagonal scaling
4326    Concepts: diagonal scaling of matrices
4327 
4328 .seealso: MatScale()
4329 @*/
4330 PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalScale(Mat mat,Vec l,Vec r)
4331 {
4332   PetscErrorCode ierr;
4333 
4334   PetscFunctionBegin;
4335   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4336   PetscValidType(mat,1);
4337   if (!mat->ops->diagonalscale) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4338   if (l) {PetscValidHeaderSpecific(l,VEC_COOKIE,2);PetscCheckSameComm(mat,1,l,2);}
4339   if (r) {PetscValidHeaderSpecific(r,VEC_COOKIE,3);PetscCheckSameComm(mat,1,r,3);}
4340   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4341   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4342   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4343 
4344   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4345   ierr = (*mat->ops->diagonalscale)(mat,l,r);CHKERRQ(ierr);
4346   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4347   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4348   PetscFunctionReturn(0);
4349 }
4350 
4351 #undef __FUNCT__
4352 #define __FUNCT__ "MatScale"
4353 /*@
4354     MatScale - Scales all elements of a matrix by a given number.
4355 
4356     Collective on Mat
4357 
4358     Input Parameters:
4359 +   mat - the matrix to be scaled
4360 -   a  - the scaling value
4361 
4362     Output Parameter:
4363 .   mat - the scaled matrix
4364 
4365     Level: intermediate
4366 
4367     Concepts: matrices^scaling all entries
4368 
4369 .seealso: MatDiagonalScale()
4370 @*/
4371 PetscErrorCode PETSCMAT_DLLEXPORT MatScale(Mat mat,PetscScalar a)
4372 {
4373   PetscErrorCode ierr;
4374 
4375   PetscFunctionBegin;
4376   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4377   PetscValidType(mat,1);
4378   if (a != 1.0 && !mat->ops->scale) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4379   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4380   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4381   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4382 
4383   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4384   if (a != 1.0) {
4385     ierr = (*mat->ops->scale)(mat,a);CHKERRQ(ierr);
4386     ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4387   }
4388   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4389   PetscFunctionReturn(0);
4390 }
4391 
4392 #undef __FUNCT__
4393 #define __FUNCT__ "MatNorm"
4394 /*@
4395    MatNorm - Calculates various norms of a matrix.
4396 
4397    Collective on Mat
4398 
4399    Input Parameters:
4400 +  mat - the matrix
4401 -  type - the type of norm, NORM_1, NORM_FROBENIUS, NORM_INFINITY
4402 
4403    Output Parameters:
4404 .  nrm - the resulting norm
4405 
4406    Level: intermediate
4407 
4408    Concepts: matrices^norm
4409    Concepts: norm^of matrix
4410 @*/
4411 PetscErrorCode PETSCMAT_DLLEXPORT MatNorm(Mat mat,NormType type,PetscReal *nrm)
4412 {
4413   PetscErrorCode ierr;
4414 
4415   PetscFunctionBegin;
4416   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4417   PetscValidType(mat,1);
4418   PetscValidScalarPointer(nrm,3);
4419 
4420   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4421   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4422   if (!mat->ops->norm) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4423   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4424 
4425   ierr = (*mat->ops->norm)(mat,type,nrm);CHKERRQ(ierr);
4426   PetscFunctionReturn(0);
4427 }
4428 
4429 /*
4430      This variable is used to prevent counting of MatAssemblyBegin() that
4431    are called from within a MatAssemblyEnd().
4432 */
4433 static PetscInt MatAssemblyEnd_InUse = 0;
4434 #undef __FUNCT__
4435 #define __FUNCT__ "MatAssemblyBegin"
4436 /*@
4437    MatAssemblyBegin - Begins assembling the matrix.  This routine should
4438    be called after completing all calls to MatSetValues().
4439 
4440    Collective on Mat
4441 
4442    Input Parameters:
4443 +  mat - the matrix
4444 -  type - type of assembly, either MAT_FLUSH_ASSEMBLY or MAT_FINAL_ASSEMBLY
4445 
4446    Notes:
4447    MatSetValues() generally caches the values.  The matrix is ready to
4448    use only after MatAssemblyBegin() and MatAssemblyEnd() have been called.
4449    Use MAT_FLUSH_ASSEMBLY when switching between ADD_VALUES and INSERT_VALUES
4450    in MatSetValues(); use MAT_FINAL_ASSEMBLY for the final assembly before
4451    using the matrix.
4452 
4453    Level: beginner
4454 
4455    Concepts: matrices^assembling
4456 
4457 .seealso: MatAssemblyEnd(), MatSetValues(), MatAssembled()
4458 @*/
4459 PetscErrorCode PETSCMAT_DLLEXPORT MatAssemblyBegin(Mat mat,MatAssemblyType type)
4460 {
4461   PetscErrorCode ierr;
4462 
4463   PetscFunctionBegin;
4464   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4465   PetscValidType(mat,1);
4466   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4467   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix.\nDid you forget to call MatSetUnfactored()?");
4468   if (mat->assembled) {
4469     mat->was_assembled = PETSC_TRUE;
4470     mat->assembled     = PETSC_FALSE;
4471   }
4472   if (!MatAssemblyEnd_InUse) {
4473     ierr = PetscLogEventBegin(MAT_AssemblyBegin,mat,0,0,0);CHKERRQ(ierr);
4474     if (mat->ops->assemblybegin){ierr = (*mat->ops->assemblybegin)(mat,type);CHKERRQ(ierr);}
4475     ierr = PetscLogEventEnd(MAT_AssemblyBegin,mat,0,0,0);CHKERRQ(ierr);
4476   } else {
4477     if (mat->ops->assemblybegin){ierr = (*mat->ops->assemblybegin)(mat,type);CHKERRQ(ierr);}
4478   }
4479   PetscFunctionReturn(0);
4480 }
4481 
4482 #undef __FUNCT__
4483 #define __FUNCT__ "MatAssembed"
4484 /*@
4485    MatAssembled - Indicates if a matrix has been assembled and is ready for
4486      use; for example, in matrix-vector product.
4487 
4488    Collective on Mat
4489 
4490    Input Parameter:
4491 .  mat - the matrix
4492 
4493    Output Parameter:
4494 .  assembled - PETSC_TRUE or PETSC_FALSE
4495 
4496    Level: advanced
4497 
4498    Concepts: matrices^assembled?
4499 
4500 .seealso: MatAssemblyEnd(), MatSetValues(), MatAssemblyBegin()
4501 @*/
4502 PetscErrorCode PETSCMAT_DLLEXPORT MatAssembled(Mat mat,PetscTruth *assembled)
4503 {
4504   PetscFunctionBegin;
4505   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4506   PetscValidType(mat,1);
4507   PetscValidPointer(assembled,2);
4508   *assembled = mat->assembled;
4509   PetscFunctionReturn(0);
4510 }
4511 
4512 #undef __FUNCT__
4513 #define __FUNCT__ "MatView_Private"
4514 /*
4515     Processes command line options to determine if/how a matrix
4516   is to be viewed. Called by MatAssemblyEnd() and MatLoad().
4517 */
4518 PetscErrorCode MatView_Private(Mat mat)
4519 {
4520   PetscErrorCode    ierr;
4521   PetscTruth        flg1 = PETSC_FALSE,flg2 = PETSC_FALSE,flg3 = PETSC_FALSE,flg4 = PETSC_FALSE,flg6 = PETSC_FALSE,flg7 = PETSC_FALSE,flg8 = PETSC_FALSE;
4522   static PetscTruth incall = PETSC_FALSE;
4523 #if defined(PETSC_USE_SOCKET_VIEWER)
4524   PetscTruth        flg5 = PETSC_FALSE;
4525 #endif
4526 
4527   PetscFunctionBegin;
4528   if (incall) PetscFunctionReturn(0);
4529   incall = PETSC_TRUE;
4530   ierr = PetscOptionsBegin(((PetscObject)mat)->comm,((PetscObject)mat)->prefix,"Matrix Options","Mat");CHKERRQ(ierr);
4531     ierr = PetscOptionsTruth("-mat_view_info","Information on matrix size","MatView",flg1,&flg1,PETSC_NULL);CHKERRQ(ierr);
4532     ierr = PetscOptionsTruth("-mat_view_info_detailed","Nonzeros in the matrix","MatView",flg2,&flg2,PETSC_NULL);CHKERRQ(ierr);
4533     ierr = PetscOptionsTruth("-mat_view","Print matrix to stdout","MatView",flg3,&flg3,PETSC_NULL);CHKERRQ(ierr);
4534     ierr = PetscOptionsTruth("-mat_view_matlab","Print matrix to stdout in a format Matlab can read","MatView",flg4,&flg4,PETSC_NULL);CHKERRQ(ierr);
4535 #if defined(PETSC_USE_SOCKET_VIEWER)
4536     ierr = PetscOptionsTruth("-mat_view_socket","Send matrix to socket (can be read from matlab)","MatView",flg5,&flg5,PETSC_NULL);CHKERRQ(ierr);
4537 #endif
4538     ierr = PetscOptionsTruth("-mat_view_binary","Save matrix to file in binary format","MatView",flg6,&flg6,PETSC_NULL);CHKERRQ(ierr);
4539     ierr = PetscOptionsTruth("-mat_view_draw","Draw the matrix nonzero structure","MatView",flg7,&flg7,PETSC_NULL);CHKERRQ(ierr);
4540   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4541 
4542   if (flg1) {
4543     PetscViewer viewer;
4544 
4545     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4546     ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO);CHKERRQ(ierr);
4547     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4548     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
4549   }
4550   if (flg2) {
4551     PetscViewer viewer;
4552 
4553     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4554     ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL);CHKERRQ(ierr);
4555     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4556     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
4557   }
4558   if (flg3) {
4559     PetscViewer viewer;
4560 
4561     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4562     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4563   }
4564   if (flg4) {
4565     PetscViewer viewer;
4566 
4567     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4568     ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr);
4569     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4570     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
4571   }
4572 #if defined(PETSC_USE_SOCKET_VIEWER)
4573   if (flg5) {
4574     ierr = MatView(mat,PETSC_VIEWER_SOCKET_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4575     ierr = PetscViewerFlush(PETSC_VIEWER_SOCKET_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4576   }
4577 #endif
4578   if (flg6) {
4579     ierr = MatView(mat,PETSC_VIEWER_BINARY_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4580     ierr = PetscViewerFlush(PETSC_VIEWER_BINARY_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4581   }
4582   if (flg7) {
4583     ierr = PetscOptionsGetTruth(((PetscObject)mat)->prefix,"-mat_view_contour",&flg8,PETSC_NULL);CHKERRQ(ierr);
4584     if (flg8) {
4585       PetscViewerPushFormat(PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm),PETSC_VIEWER_DRAW_CONTOUR);CHKERRQ(ierr);
4586     }
4587     ierr = MatView(mat,PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4588     ierr = PetscViewerFlush(PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4589     if (flg8) {
4590       PetscViewerPopFormat(PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4591     }
4592   }
4593   incall = PETSC_FALSE;
4594   PetscFunctionReturn(0);
4595 }
4596 
4597 #undef __FUNCT__
4598 #define __FUNCT__ "MatAssemblyEnd"
4599 /*@
4600    MatAssemblyEnd - Completes assembling the matrix.  This routine should
4601    be called after MatAssemblyBegin().
4602 
4603    Collective on Mat
4604 
4605    Input Parameters:
4606 +  mat - the matrix
4607 -  type - type of assembly, either MAT_FLUSH_ASSEMBLY or MAT_FINAL_ASSEMBLY
4608 
4609    Options Database Keys:
4610 +  -mat_view_info - Prints info on matrix at conclusion of MatEndAssembly()
4611 .  -mat_view_info_detailed - Prints more detailed info
4612 .  -mat_view - Prints matrix in ASCII format
4613 .  -mat_view_matlab - Prints matrix in Matlab format
4614 .  -mat_view_draw - PetscDraws nonzero structure of matrix, using MatView() and PetscDrawOpenX().
4615 .  -display <name> - Sets display name (default is host)
4616 .  -draw_pause <sec> - Sets number of seconds to pause after display
4617 .  -mat_view_socket - Sends matrix to socket, can be accessed from Matlab (see users manual)
4618 .  -viewer_socket_machine <machine>
4619 .  -viewer_socket_port <port>
4620 .  -mat_view_binary - save matrix to file in binary format
4621 -  -viewer_binary_filename <name>
4622 
4623    Notes:
4624    MatSetValues() generally caches the values.  The matrix is ready to
4625    use only after MatAssemblyBegin() and MatAssemblyEnd() have been called.
4626    Use MAT_FLUSH_ASSEMBLY when switching between ADD_VALUES and INSERT_VALUES
4627    in MatSetValues(); use MAT_FINAL_ASSEMBLY for the final assembly before
4628    using the matrix.
4629 
4630    Level: beginner
4631 
4632 .seealso: MatAssemblyBegin(), MatSetValues(), PetscDrawOpenX(), MatView(), MatAssembled(), PetscViewerSocketOpen()
4633 @*/
4634 PetscErrorCode PETSCMAT_DLLEXPORT MatAssemblyEnd(Mat mat,MatAssemblyType type)
4635 {
4636   PetscErrorCode  ierr;
4637   static PetscInt inassm = 0;
4638   PetscTruth      flg = PETSC_FALSE;
4639 
4640   PetscFunctionBegin;
4641   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4642   PetscValidType(mat,1);
4643 
4644   inassm++;
4645   MatAssemblyEnd_InUse++;
4646   if (MatAssemblyEnd_InUse == 1) { /* Do the logging only the first time through */
4647     ierr = PetscLogEventBegin(MAT_AssemblyEnd,mat,0,0,0);CHKERRQ(ierr);
4648     if (mat->ops->assemblyend) {
4649       ierr = (*mat->ops->assemblyend)(mat,type);CHKERRQ(ierr);
4650     }
4651     ierr = PetscLogEventEnd(MAT_AssemblyEnd,mat,0,0,0);CHKERRQ(ierr);
4652   } else {
4653     if (mat->ops->assemblyend) {
4654       ierr = (*mat->ops->assemblyend)(mat,type);CHKERRQ(ierr);
4655     }
4656   }
4657 
4658   /* Flush assembly is not a true assembly */
4659   if (type != MAT_FLUSH_ASSEMBLY) {
4660     mat->assembled  = PETSC_TRUE; mat->num_ass++;
4661   }
4662   mat->insertmode = NOT_SET_VALUES;
4663   MatAssemblyEnd_InUse--;
4664   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4665   if (!mat->symmetric_eternal) {
4666     mat->symmetric_set              = PETSC_FALSE;
4667     mat->hermitian_set              = PETSC_FALSE;
4668     mat->structurally_symmetric_set = PETSC_FALSE;
4669   }
4670   if (inassm == 1 && type != MAT_FLUSH_ASSEMBLY) {
4671     ierr = MatView_Private(mat);CHKERRQ(ierr);
4672     ierr = PetscOptionsGetTruth(((PetscObject)mat)->prefix,"-mat_is_symmetric",&flg,PETSC_NULL);CHKERRQ(ierr);
4673     if (flg) {
4674       PetscReal tol = 0.0;
4675       ierr = PetscOptionsGetReal(((PetscObject)mat)->prefix,"-mat_is_symmetric",&tol,PETSC_NULL);CHKERRQ(ierr);
4676       ierr = MatIsSymmetric(mat,tol,&flg);CHKERRQ(ierr);
4677       if (flg) {
4678         ierr = PetscPrintf(((PetscObject)mat)->comm,"Matrix is symmetric (tolerance %G)\n",tol);CHKERRQ(ierr);
4679       } else {
4680         ierr = PetscPrintf(((PetscObject)mat)->comm,"Matrix is not symmetric (tolerance %G)\n",tol);CHKERRQ(ierr);
4681       }
4682     }
4683   }
4684   inassm--;
4685   PetscFunctionReturn(0);
4686 }
4687 
4688 #undef __FUNCT__
4689 #define __FUNCT__ "MatSetOption"
4690 /*@
4691    MatSetOption - Sets a parameter option for a matrix. Some options
4692    may be specific to certain storage formats.  Some options
4693    determine how values will be inserted (or added). Sorted,
4694    row-oriented input will generally assemble the fastest. The default
4695    is row-oriented, nonsorted input.
4696 
4697    Collective on Mat
4698 
4699    Input Parameters:
4700 +  mat - the matrix
4701 .  option - the option, one of those listed below (and possibly others),
4702 -  flg - turn the option on (PETSC_TRUE) or off (PETSC_FALSE)
4703 
4704   Options Describing Matrix Structure:
4705 +    MAT_SYMMETRIC - symmetric in terms of both structure and value
4706 .    MAT_HERMITIAN - transpose is the complex conjugation
4707 .    MAT_STRUCTURALLY_SYMMETRIC - symmetric nonzero structure
4708 -    MAT_SYMMETRY_ETERNAL - if you would like the symmetry/Hermitian flag
4709                             you set to be kept with all future use of the matrix
4710                             including after MatAssemblyBegin/End() which could
4711                             potentially change the symmetry structure, i.e. you
4712                             KNOW the matrix will ALWAYS have the property you set.
4713 
4714 
4715    Options For Use with MatSetValues():
4716    Insert a logically dense subblock, which can be
4717 .    MAT_ROW_ORIENTED - row-oriented (default)
4718 
4719    Note these options reflect the data you pass in with MatSetValues(); it has
4720    nothing to do with how the data is stored internally in the matrix
4721    data structure.
4722 
4723    When (re)assembling a matrix, we can restrict the input for
4724    efficiency/debugging purposes.  These options include
4725 +    MAT_NEW_NONZERO_LOCATIONS - additional insertions will be
4726         allowed if they generate a new nonzero
4727 .    MAT_NEW_DIAGONALS - new diagonals will be allowed (for block diagonal format only)
4728 .    MAT_IGNORE_OFF_PROC_ENTRIES - drops off-processor entries
4729 .    MAT_NEW_NONZERO_LOCATION_ERR - generates an error for new matrix entry
4730 -    MAT_USE_HASH_TABLE - uses a hash table to speed up matrix assembly
4731 
4732    Notes:
4733    Some options are relevant only for particular matrix types and
4734    are thus ignored by others.  Other options are not supported by
4735    certain matrix types and will generate an error message if set.
4736 
4737    If using a Fortran 77 module to compute a matrix, one may need to
4738    use the column-oriented option (or convert to the row-oriented
4739    format).
4740 
4741    MAT_NEW_NONZERO_LOCATIONS set to PETSC_FALSE indicates that any add or insertion
4742    that would generate a new entry in the nonzero structure is instead
4743    ignored.  Thus, if memory has not alredy been allocated for this particular
4744    data, then the insertion is ignored. For dense matrices, in which
4745    the entire array is allocated, no entries are ever ignored.
4746    Set after the first MatAssemblyEnd()
4747 
4748    MAT_NEW_NONZERO_LOCATION_ERR indicates that any add or insertion
4749    that would generate a new entry in the nonzero structure instead produces
4750    an error. (Currently supported for AIJ and BAIJ formats only.)
4751    This is a useful flag when using SAME_NONZERO_PATTERN in calling
4752    KSPSetOperators() to ensure that the nonzero pattern truely does
4753    remain unchanged. Set after the first MatAssemblyEnd()
4754 
4755    MAT_NEW_NONZERO_ALLOCATION_ERR indicates that any add or insertion
4756    that would generate a new entry that has not been preallocated will
4757    instead produce an error. (Currently supported for AIJ and BAIJ formats
4758    only.) This is a useful flag when debugging matrix memory preallocation.
4759 
4760    MAT_IGNORE_OFF_PROC_ENTRIES indicates entries destined for
4761    other processors should be dropped, rather than stashed.
4762    This is useful if you know that the "owning" processor is also
4763    always generating the correct matrix entries, so that PETSc need
4764    not transfer duplicate entries generated on another processor.
4765 
4766    MAT_USE_HASH_TABLE indicates that a hash table be used to improve the
4767    searches during matrix assembly. When this flag is set, the hash table
4768    is created during the first Matrix Assembly. This hash table is
4769    used the next time through, during MatSetVaules()/MatSetVaulesBlocked()
4770    to improve the searching of indices. MAT_NEW_NONZERO_LOCATIONS flag
4771    should be used with MAT_USE_HASH_TABLE flag. This option is currently
4772    supported by MATMPIBAIJ format only.
4773 
4774    MAT_KEEP_NONZERO_PATTERN indicates when MatZeroRows() is called the zeroed entries
4775    are kept in the nonzero structure
4776 
4777    MAT_IGNORE_ZERO_ENTRIES - for AIJ/IS matrices this will stop zero values from creating
4778    a zero location in the matrix
4779 
4780    MAT_USE_INODES - indicates using inode version of the code - works with AIJ and
4781    ROWBS matrix types
4782 
4783    Level: intermediate
4784 
4785    Concepts: matrices^setting options
4786 
4787 @*/
4788 PetscErrorCode PETSCMAT_DLLEXPORT MatSetOption(Mat mat,MatOption op,PetscTruth flg)
4789 {
4790   PetscErrorCode ierr;
4791 
4792   PetscFunctionBegin;
4793   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4794   PetscValidType(mat,1);
4795   if (((int) op) < 0 || ((int) op) >= NUM_MAT_OPTIONS) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Options %d is out of range",(int)op);
4796   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4797   switch (op) {
4798   case MAT_SYMMETRIC:
4799     mat->symmetric                  = flg;
4800     if (flg) mat->structurally_symmetric     = PETSC_TRUE;
4801     mat->symmetric_set              = PETSC_TRUE;
4802     mat->structurally_symmetric_set = flg;
4803     break;
4804   case MAT_HERMITIAN:
4805     mat->hermitian                  = flg;
4806     if (flg) mat->structurally_symmetric     = PETSC_TRUE;
4807     mat->hermitian_set              = PETSC_TRUE;
4808     mat->structurally_symmetric_set = flg;
4809     break;
4810   case MAT_STRUCTURALLY_SYMMETRIC:
4811     mat->structurally_symmetric     = flg;
4812     mat->structurally_symmetric_set = PETSC_TRUE;
4813     break;
4814   case MAT_SYMMETRY_ETERNAL:
4815     mat->symmetric_eternal          = flg;
4816     break;
4817   default:
4818     break;
4819   }
4820   if (mat->ops->setoption) {
4821     ierr = (*mat->ops->setoption)(mat,op,flg);CHKERRQ(ierr);
4822   }
4823   PetscFunctionReturn(0);
4824 }
4825 
4826 #undef __FUNCT__
4827 #define __FUNCT__ "MatZeroEntries"
4828 /*@
4829    MatZeroEntries - Zeros all entries of a matrix.  For sparse matrices
4830    this routine retains the old nonzero structure.
4831 
4832    Collective on Mat
4833 
4834    Input Parameters:
4835 .  mat - the matrix
4836 
4837    Level: intermediate
4838 
4839    Concepts: matrices^zeroing
4840 
4841 .seealso: MatZeroRows()
4842 @*/
4843 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroEntries(Mat mat)
4844 {
4845   PetscErrorCode ierr;
4846 
4847   PetscFunctionBegin;
4848   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4849   PetscValidType(mat,1);
4850   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4851   if (mat->insertmode != NOT_SET_VALUES) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for matrices where you have set values but not yet assembled");
4852   if (!mat->ops->zeroentries) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4853   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4854 
4855   ierr = PetscLogEventBegin(MAT_ZeroEntries,mat,0,0,0);CHKERRQ(ierr);
4856   ierr = (*mat->ops->zeroentries)(mat);CHKERRQ(ierr);
4857   ierr = PetscLogEventEnd(MAT_ZeroEntries,mat,0,0,0);CHKERRQ(ierr);
4858   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4859   PetscFunctionReturn(0);
4860 }
4861 
4862 #undef __FUNCT__
4863 #define __FUNCT__ "MatZeroRows"
4864 /*@C
4865    MatZeroRows - Zeros all entries (except possibly the main diagonal)
4866    of a set of rows of a matrix.
4867 
4868    Collective on Mat
4869 
4870    Input Parameters:
4871 +  mat - the matrix
4872 .  numRows - the number of rows to remove
4873 .  rows - the global row indices
4874 -  diag - value put in all diagonals of eliminated rows (0.0 will even eliminate diagonal entry)
4875 
4876    Notes:
4877    For the AIJ and BAIJ matrix formats this removes the old nonzero structure,
4878    but does not release memory.  For the dense and block diagonal
4879    formats this does not alter the nonzero structure.
4880 
4881    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
4882    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
4883    merely zeroed.
4884 
4885    The user can set a value in the diagonal entry (or for the AIJ and
4886    row formats can optionally remove the main diagonal entry from the
4887    nonzero structure as well, by passing 0.0 as the final argument).
4888 
4889    For the parallel case, all processes that share the matrix (i.e.,
4890    those in the communicator used for matrix creation) MUST call this
4891    routine, regardless of whether any rows being zeroed are owned by
4892    them.
4893 
4894    Each processor can indicate any rows in the entire matrix to be zeroed (i.e. each process does NOT have to
4895    list only rows local to itself).
4896 
4897    Level: intermediate
4898 
4899    Concepts: matrices^zeroing rows
4900 
4901 .seealso: MatZeroRowsIS(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption()
4902 @*/
4903 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRows(Mat mat,PetscInt numRows,const PetscInt rows[],PetscScalar diag)
4904 {
4905   PetscErrorCode ierr;
4906 
4907   PetscFunctionBegin;
4908   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4909   PetscValidType(mat,1);
4910   if (numRows) PetscValidIntPointer(rows,3);
4911   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4912   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4913   if (!mat->ops->zerorows) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4914   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4915 
4916   ierr = (*mat->ops->zerorows)(mat,numRows,rows,diag);CHKERRQ(ierr);
4917   ierr = MatView_Private(mat);CHKERRQ(ierr);
4918   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4919   PetscFunctionReturn(0);
4920 }
4921 
4922 #undef __FUNCT__
4923 #define __FUNCT__ "MatZeroRowsIS"
4924 /*@C
4925    MatZeroRowsIS - Zeros all entries (except possibly the main diagonal)
4926    of a set of rows of a matrix.
4927 
4928    Collective on Mat
4929 
4930    Input Parameters:
4931 +  mat - the matrix
4932 .  is - index set of rows to remove
4933 -  diag - value put in all diagonals of eliminated rows
4934 
4935    Notes:
4936    For the AIJ and BAIJ matrix formats this removes the old nonzero structure,
4937    but does not release memory.  For the dense and block diagonal
4938    formats this does not alter the nonzero structure.
4939 
4940    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
4941    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
4942    merely zeroed.
4943 
4944    The user can set a value in the diagonal entry (or for the AIJ and
4945    row formats can optionally remove the main diagonal entry from the
4946    nonzero structure as well, by passing 0.0 as the final argument).
4947 
4948    For the parallel case, all processes that share the matrix (i.e.,
4949    those in the communicator used for matrix creation) MUST call this
4950    routine, regardless of whether any rows being zeroed are owned by
4951    them.
4952 
4953    Each processor should list the rows that IT wants zeroed
4954 
4955    Level: intermediate
4956 
4957    Concepts: matrices^zeroing rows
4958 
4959 .seealso: MatZeroRows(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption()
4960 @*/
4961 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsIS(Mat mat,IS is,PetscScalar diag)
4962 {
4963   PetscInt       numRows;
4964   const PetscInt *rows;
4965   PetscErrorCode ierr;
4966 
4967   PetscFunctionBegin;
4968   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4969   PetscValidType(mat,1);
4970   PetscValidHeaderSpecific(is,IS_COOKIE,2);
4971   ierr = ISGetLocalSize(is,&numRows);CHKERRQ(ierr);
4972   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
4973   ierr = MatZeroRows(mat,numRows,rows,diag);CHKERRQ(ierr);
4974   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
4975   PetscFunctionReturn(0);
4976 }
4977 
4978 #undef __FUNCT__
4979 #define __FUNCT__ "MatZeroRowsLocal"
4980 /*@C
4981    MatZeroRowsLocal - Zeros all entries (except possibly the main diagonal)
4982    of a set of rows of a matrix; using local numbering of rows.
4983 
4984    Collective on Mat
4985 
4986    Input Parameters:
4987 +  mat - the matrix
4988 .  numRows - the number of rows to remove
4989 .  rows - the global row indices
4990 -  diag - value put in all diagonals of eliminated rows
4991 
4992    Notes:
4993    Before calling MatZeroRowsLocal(), the user must first set the
4994    local-to-global mapping by calling MatSetLocalToGlobalMapping().
4995 
4996    For the AIJ matrix formats this removes the old nonzero structure,
4997    but does not release memory.  For the dense and block diagonal
4998    formats this does not alter the nonzero structure.
4999 
5000    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
5001    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
5002    merely zeroed.
5003 
5004    The user can set a value in the diagonal entry (or for the AIJ and
5005    row formats can optionally remove the main diagonal entry from the
5006    nonzero structure as well, by passing 0.0 as the final argument).
5007 
5008    Level: intermediate
5009 
5010    Concepts: matrices^zeroing
5011 
5012 .seealso: MatZeroRows(), MatZeroRowsLocalIS(), MatZeroEntries(), MatZeroRows(), MatSetLocalToGlobalMapping
5013 @*/
5014 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsLocal(Mat mat,PetscInt numRows,const PetscInt rows[],PetscScalar diag)
5015 {
5016   PetscErrorCode ierr;
5017 
5018   PetscFunctionBegin;
5019   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5020   PetscValidType(mat,1);
5021   if (numRows) PetscValidIntPointer(rows,3);
5022   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5023   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5024   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5025 
5026   if (mat->ops->zerorowslocal) {
5027     ierr = (*mat->ops->zerorowslocal)(mat,numRows,rows,diag);CHKERRQ(ierr);
5028   } else {
5029     IS             is, newis;
5030     const PetscInt *newRows;
5031 
5032     if (!mat->mapping) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Need to provide local to global mapping to matrix first");
5033     ierr = ISCreateGeneral(PETSC_COMM_SELF,numRows,rows,&is);CHKERRQ(ierr);
5034     ierr = ISLocalToGlobalMappingApplyIS(mat->mapping,is,&newis);CHKERRQ(ierr);
5035     ierr = ISGetIndices(newis,&newRows);CHKERRQ(ierr);
5036     ierr = (*mat->ops->zerorows)(mat,numRows,newRows,diag);CHKERRQ(ierr);
5037     ierr = ISRestoreIndices(newis,&newRows);CHKERRQ(ierr);
5038     ierr = ISDestroy(newis);CHKERRQ(ierr);
5039     ierr = ISDestroy(is);CHKERRQ(ierr);
5040   }
5041   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5042   PetscFunctionReturn(0);
5043 }
5044 
5045 #undef __FUNCT__
5046 #define __FUNCT__ "MatZeroRowsLocalIS"
5047 /*@C
5048    MatZeroRowsLocalIS - Zeros all entries (except possibly the main diagonal)
5049    of a set of rows of a matrix; using local numbering of rows.
5050 
5051    Collective on Mat
5052 
5053    Input Parameters:
5054 +  mat - the matrix
5055 .  is - index set of rows to remove
5056 -  diag - value put in all diagonals of eliminated rows
5057 
5058    Notes:
5059    Before calling MatZeroRowsLocalIS(), the user must first set the
5060    local-to-global mapping by calling MatSetLocalToGlobalMapping().
5061 
5062    For the AIJ matrix formats this removes the old nonzero structure,
5063    but does not release memory.  For the dense and block diagonal
5064    formats this does not alter the nonzero structure.
5065 
5066    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
5067    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
5068    merely zeroed.
5069 
5070    The user can set a value in the diagonal entry (or for the AIJ and
5071    row formats can optionally remove the main diagonal entry from the
5072    nonzero structure as well, by passing 0.0 as the final argument).
5073 
5074    Level: intermediate
5075 
5076    Concepts: matrices^zeroing
5077 
5078 .seealso: MatZeroRows(), MatZeroRowsLocal(), MatZeroEntries(), MatZeroRows(), MatSetLocalToGlobalMapping
5079 @*/
5080 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsLocalIS(Mat mat,IS is,PetscScalar diag)
5081 {
5082   PetscErrorCode ierr;
5083   PetscInt       numRows;
5084   const PetscInt *rows;
5085 
5086   PetscFunctionBegin;
5087   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5088   PetscValidType(mat,1);
5089   PetscValidHeaderSpecific(is,IS_COOKIE,2);
5090   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5091   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5092   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5093 
5094   ierr = ISGetLocalSize(is,&numRows);CHKERRQ(ierr);
5095   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
5096   ierr = MatZeroRowsLocal(mat,numRows,rows,diag);CHKERRQ(ierr);
5097   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
5098   PetscFunctionReturn(0);
5099 }
5100 
5101 #undef __FUNCT__
5102 #define __FUNCT__ "MatGetSize"
5103 /*@
5104    MatGetSize - Returns the numbers of rows and columns in a matrix.
5105 
5106    Not Collective
5107 
5108    Input Parameter:
5109 .  mat - the matrix
5110 
5111    Output Parameters:
5112 +  m - the number of global rows
5113 -  n - the number of global columns
5114 
5115    Note: both output parameters can be PETSC_NULL on input.
5116 
5117    Level: beginner
5118 
5119    Concepts: matrices^size
5120 
5121 .seealso: MatGetLocalSize()
5122 @*/
5123 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSize(Mat mat,PetscInt *m,PetscInt* n)
5124 {
5125   PetscFunctionBegin;
5126   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5127   if (m) *m = mat->rmap->N;
5128   if (n) *n = mat->cmap->N;
5129   PetscFunctionReturn(0);
5130 }
5131 
5132 #undef __FUNCT__
5133 #define __FUNCT__ "MatGetLocalSize"
5134 /*@
5135    MatGetLocalSize - Returns the number of rows and columns in a matrix
5136    stored locally.  This information may be implementation dependent, so
5137    use with care.
5138 
5139    Not Collective
5140 
5141    Input Parameters:
5142 .  mat - the matrix
5143 
5144    Output Parameters:
5145 +  m - the number of local rows
5146 -  n - the number of local columns
5147 
5148    Note: both output parameters can be PETSC_NULL on input.
5149 
5150    Level: beginner
5151 
5152    Concepts: matrices^local size
5153 
5154 .seealso: MatGetSize()
5155 @*/
5156 PetscErrorCode PETSCMAT_DLLEXPORT MatGetLocalSize(Mat mat,PetscInt *m,PetscInt* n)
5157 {
5158   PetscFunctionBegin;
5159   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5160   if (m) PetscValidIntPointer(m,2);
5161   if (n) PetscValidIntPointer(n,3);
5162   if (m) *m = mat->rmap->n;
5163   if (n) *n = mat->cmap->n;
5164   PetscFunctionReturn(0);
5165 }
5166 
5167 #undef __FUNCT__
5168 #define __FUNCT__ "MatGetOwnershipRangeColumn"
5169 /*@
5170    MatGetOwnershipRangeColumn - Returns the range of matrix columns owned by
5171    this processor.
5172 
5173    Not Collective, unless matrix has not been allocated, then collective on Mat
5174 
5175    Input Parameters:
5176 .  mat - the matrix
5177 
5178    Output Parameters:
5179 +  m - the global index of the first local column
5180 -  n - one more than the global index of the last local column
5181 
5182    Notes: both output parameters can be PETSC_NULL on input.
5183 
5184    Level: developer
5185 
5186    Concepts: matrices^column ownership
5187 
5188 .seealso:  MatGetOwnershipRange(), MatGetOwnershipRanges(), MatGetOwnershipRangesColumn()
5189 
5190 @*/
5191 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRangeColumn(Mat mat,PetscInt *m,PetscInt* n)
5192 {
5193   PetscErrorCode ierr;
5194 
5195   PetscFunctionBegin;
5196   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5197   PetscValidType(mat,1);
5198   if (m) PetscValidIntPointer(m,2);
5199   if (n) PetscValidIntPointer(n,3);
5200   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5201   if (m) *m = mat->cmap->rstart;
5202   if (n) *n = mat->cmap->rend;
5203   PetscFunctionReturn(0);
5204 }
5205 
5206 #undef __FUNCT__
5207 #define __FUNCT__ "MatGetOwnershipRange"
5208 /*@
5209    MatGetOwnershipRange - Returns the range of matrix rows owned by
5210    this processor, assuming that the matrix is laid out with the first
5211    n1 rows on the first processor, the next n2 rows on the second, etc.
5212    For certain parallel layouts this range may not be well defined.
5213 
5214    Not Collective, unless matrix has not been allocated, then collective on Mat
5215 
5216    Input Parameters:
5217 .  mat - the matrix
5218 
5219    Output Parameters:
5220 +  m - the global index of the first local row
5221 -  n - one more than the global index of the last local row
5222 
5223    Note: both output parameters can be PETSC_NULL on input.
5224 
5225    Level: beginner
5226 
5227    Concepts: matrices^row ownership
5228 
5229 .seealso:   MatGetOwnershipRanges(), MatGetOwnershipRangeColumn(), MatGetOwnershipRangesColumn()
5230 
5231 @*/
5232 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRange(Mat mat,PetscInt *m,PetscInt* n)
5233 {
5234   PetscErrorCode ierr;
5235 
5236   PetscFunctionBegin;
5237   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5238   PetscValidType(mat,1);
5239   if (m) PetscValidIntPointer(m,2);
5240   if (n) PetscValidIntPointer(n,3);
5241   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5242   if (m) *m = mat->rmap->rstart;
5243   if (n) *n = mat->rmap->rend;
5244   PetscFunctionReturn(0);
5245 }
5246 
5247 #undef __FUNCT__
5248 #define __FUNCT__ "MatGetOwnershipRanges"
5249 /*@C
5250    MatGetOwnershipRanges - Returns the range of matrix rows owned by
5251    each process
5252 
5253    Not Collective, unless matrix has not been allocated, then collective on Mat
5254 
5255    Input Parameters:
5256 .  mat - the matrix
5257 
5258    Output Parameters:
5259 .  ranges - start of each processors portion plus one more then the total length at the end
5260 
5261    Level: beginner
5262 
5263    Concepts: matrices^row ownership
5264 
5265 .seealso:   MatGetOwnershipRange(), MatGetOwnershipRangeColumn(), MatGetOwnershipRangesColumn()
5266 
5267 @*/
5268 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRanges(Mat mat,const PetscInt **ranges)
5269 {
5270   PetscErrorCode ierr;
5271 
5272   PetscFunctionBegin;
5273   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5274   PetscValidType(mat,1);
5275   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5276   ierr = PetscMapGetRanges(mat->rmap,ranges);CHKERRQ(ierr);
5277   PetscFunctionReturn(0);
5278 }
5279 
5280 #undef __FUNCT__
5281 #define __FUNCT__ "MatGetOwnershipRangesColumn"
5282 /*@C
5283    MatGetOwnershipRangesColumn - Returns the range of local columns for each process
5284 
5285    Not Collective, unless matrix has not been allocated, then collective on Mat
5286 
5287    Input Parameters:
5288 .  mat - the matrix
5289 
5290    Output Parameters:
5291 .  ranges - start of each processors portion plus one more then the total length at the end
5292 
5293    Level: beginner
5294 
5295    Concepts: matrices^column ownership
5296 
5297 .seealso:   MatGetOwnershipRange(), MatGetOwnershipRangeColumn(), MatGetOwnershipRanges()
5298 
5299 @*/
5300 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRangesColumn(Mat mat,const PetscInt **ranges)
5301 {
5302   PetscErrorCode ierr;
5303 
5304   PetscFunctionBegin;
5305   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5306   PetscValidType(mat,1);
5307   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5308   ierr = PetscMapGetRanges(mat->cmap,ranges);CHKERRQ(ierr);
5309   PetscFunctionReturn(0);
5310 }
5311 
5312 #undef __FUNCT__
5313 #define __FUNCT__ "MatILUFactorSymbolic"
5314 /*@C
5315    MatILUFactorSymbolic - Performs symbolic ILU factorization of a matrix.
5316    Uses levels of fill only, not drop tolerance. Use MatLUFactorNumeric()
5317    to complete the factorization.
5318 
5319    Collective on Mat
5320 
5321    Input Parameters:
5322 +  mat - the matrix
5323 .  row - row permutation
5324 .  column - column permutation
5325 -  info - structure containing
5326 $      levels - number of levels of fill.
5327 $      expected fill - as ratio of original fill.
5328 $      1 or 0 - indicating force fill on diagonal (improves robustness for matrices
5329                 missing diagonal entries)
5330 
5331    Output Parameters:
5332 .  fact - new matrix that has been symbolically factored
5333 
5334    Notes:
5335    See the users manual for additional information about
5336    choosing the fill factor for better efficiency.
5337 
5338    Most users should employ the simplified KSP interface for linear solvers
5339    instead of working directly with matrix algebra routines such as this.
5340    See, e.g., KSPCreate().
5341 
5342    Level: developer
5343 
5344   Concepts: matrices^symbolic LU factorization
5345   Concepts: matrices^factorization
5346   Concepts: LU^symbolic factorization
5347 
5348 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor()
5349           MatGetOrdering(), MatFactorInfo
5350 
5351     Developer Note: fortran interface is not autogenerated as the f90
5352     interface defintion cannot be generated correctly [due to MatFactorInfo]
5353 
5354 @*/
5355 PetscErrorCode PETSCMAT_DLLEXPORT MatILUFactorSymbolic(Mat fact,Mat mat,IS row,IS col,const MatFactorInfo *info)
5356 {
5357   PetscErrorCode ierr;
5358 
5359   PetscFunctionBegin;
5360   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5361   PetscValidType(mat,1);
5362   PetscValidHeaderSpecific(row,IS_COOKIE,2);
5363   PetscValidHeaderSpecific(col,IS_COOKIE,3);
5364   PetscValidPointer(info,4);
5365   PetscValidPointer(fact,5);
5366   if (info->levels < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Levels of fill negative %D",(PetscInt)info->levels);
5367   if (info->fill < 1.0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Expected fill less than 1.0 %G",info->fill);
5368   if (!(fact)->ops->ilufactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic ILU",((PetscObject)mat)->type_name);
5369   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5370   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5371   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5372 
5373   ierr = PetscLogEventBegin(MAT_ILUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
5374   ierr = (fact->ops->ilufactorsymbolic)(fact,mat,row,col,info);CHKERRQ(ierr);
5375   ierr = PetscLogEventEnd(MAT_ILUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
5376   PetscFunctionReturn(0);
5377 }
5378 
5379 #undef __FUNCT__
5380 #define __FUNCT__ "MatICCFactorSymbolic"
5381 /*@C
5382    MatICCFactorSymbolic - Performs symbolic incomplete
5383    Cholesky factorization for a symmetric matrix.  Use
5384    MatCholeskyFactorNumeric() to complete the factorization.
5385 
5386    Collective on Mat
5387 
5388    Input Parameters:
5389 +  mat - the matrix
5390 .  perm - row and column permutation
5391 -  info - structure containing
5392 $      levels - number of levels of fill.
5393 $      expected fill - as ratio of original fill.
5394 
5395    Output Parameter:
5396 .  fact - the factored matrix
5397 
5398    Notes:
5399    Most users should employ the KSP interface for linear solvers
5400    instead of working directly with matrix algebra routines such as this.
5401    See, e.g., KSPCreate().
5402 
5403    Level: developer
5404 
5405   Concepts: matrices^symbolic incomplete Cholesky factorization
5406   Concepts: matrices^factorization
5407   Concepts: Cholsky^symbolic factorization
5408 
5409 .seealso: MatCholeskyFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
5410 
5411     Developer Note: fortran interface is not autogenerated as the f90
5412     interface defintion cannot be generated correctly [due to MatFactorInfo]
5413 
5414 @*/
5415 PetscErrorCode PETSCMAT_DLLEXPORT MatICCFactorSymbolic(Mat fact,Mat mat,IS perm,const MatFactorInfo *info)
5416 {
5417   PetscErrorCode ierr;
5418 
5419   PetscFunctionBegin;
5420   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5421   PetscValidType(mat,1);
5422   PetscValidHeaderSpecific(perm,IS_COOKIE,2);
5423   PetscValidPointer(info,3);
5424   PetscValidPointer(fact,4);
5425   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5426   if (info->levels < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Levels negative %D",(PetscInt) info->levels);
5427   if (info->fill < 1.0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Expected fill less than 1.0 %G",info->fill);
5428   if (!(fact)->ops->iccfactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic ICC",((PetscObject)mat)->type_name);
5429   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5430   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5431 
5432   ierr = PetscLogEventBegin(MAT_ICCFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
5433   ierr = (fact->ops->iccfactorsymbolic)(fact,mat,perm,info);CHKERRQ(ierr);
5434   ierr = PetscLogEventEnd(MAT_ICCFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
5435   PetscFunctionReturn(0);
5436 }
5437 
5438 #undef __FUNCT__
5439 #define __FUNCT__ "MatILUDTFactorSymbolic"
5440 /*@
5441    MatILUDTFactorSymbolic - Performs symbolic pivoting drop-tolerance ILU factorization of a matrix.
5442    User provides the drop tolerance(dt) and the maximum nonzeros to be allowed per row(dtcount).
5443    Use MatILUDTFactorNumeric() to complete the factorization.
5444 
5445    Collective on Mat
5446 
5447    Input Parameters:
5448 +  mat - the matrix
5449 .  row - row permutation
5450 .  column - column permutation
5451 -  info - structure containing
5452 $      dt - drop tolerance.
5453 $      dtcount - maximum nonzeros to be allowed per row.
5454 
5455    Output Parameters:
5456 .  fact - factor matrix with memory preallocated
5457 
5458    Notes:
5459    See the ILUT algorithm written by Yousef Saad.
5460 
5461    Most users should employ the simplified KSP interface for linear solvers
5462    instead of working directly with matrix algebra routines such as this.
5463    See, e.g., KSPCreate().
5464 
5465    Level: developer
5466 
5467   Concepts: matrices^symbolic ILU factorization
5468   Concepts: matrices^factorization
5469 
5470 .seealso: MatILUDTFactorNumeric()
5471           MatGetOrdering(), MatGetFactor(), MatFactorInfo
5472 
5473 @*/
5474 PetscErrorCode PETSCMAT_DLLEXPORT MatILUDTFactorSymbolic(Mat fact,Mat mat,IS row,IS col,const MatFactorInfo *info)
5475 {
5476   PetscErrorCode ierr;
5477 
5478   PetscFunctionBegin;
5479   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5480   PetscValidType(mat,1);
5481   PetscValidHeaderSpecific(row,IS_COOKIE,2);
5482   PetscValidHeaderSpecific(col,IS_COOKIE,3);
5483   PetscValidPointer(info,4);
5484   PetscValidPointer(fact,5);
5485   if (info->dt < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"drop tolerance negative %G",(PetscInt)info->dt);
5486   if (info->dtcount < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"nonzeros per row %D <0",info->dtcount);
5487   if (!(fact)->ops->iludtfactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic ILUDT",((PetscObject)mat)->type_name);
5488   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
5489   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5490   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5491   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5492 
5493   ierr = PetscLogEventBegin(MAT_ILUDTFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
5494   ierr = (fact->ops->iludtfactorsymbolic)(fact,mat,row,col,info);CHKERRQ(ierr);
5495   ierr = PetscLogEventEnd(MAT_ILUDTFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
5496   PetscFunctionReturn(0);
5497 }
5498 
5499 #undef __FUNCT__
5500 #define __FUNCT__ "MatILUDTFactorNumeric"
5501 /*@
5502    MatILUDTFactorNumeric - Performs numeric pivoting drop-tolerance ILU factorization of a matrix.
5503    Call this routine after first calling MatILUDTFactorSymbolic().
5504 
5505    Collective on Mat
5506 
5507    Input Parameters:
5508 +  fact - the factor matrix obtained with MatGetFactor()
5509 .  mat - the matrix
5510 -  info - options for factorization
5511 
5512    Output Parameters:
5513 .  fact - assembled factor matrix
5514 
5515    Notes:
5516    Most users should employ the simplified KSP interface for linear solvers
5517    instead of working directly with matrix algebra routines such as this.
5518    See, e.g., KSPCreate().
5519 
5520    Level: developer
5521 
5522 .seealso: MatILUDTFactorSymbolic()
5523 @*/
5524 PetscErrorCode PETSCMAT_DLLEXPORT MatILUDTFactorNumeric(Mat fact,Mat mat,const MatFactorInfo *info)
5525 {
5526   PetscErrorCode ierr;
5527 
5528   PetscFunctionBegin;
5529   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5530   PetscValidType(mat,1);
5531   PetscValidPointer(fact,2);
5532   PetscValidHeaderSpecific(fact,MAT_COOKIE,2);
5533   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5534   if (mat->rmap->N != (fact)->rmap->N || mat->cmap->N != (fact)->cmap->N) {
5535     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);
5536   }
5537   if (!(fact)->ops->iludtfactornumeric) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5538   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5539   ierr = PetscLogEventBegin(MAT_ILUDTFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
5540   ierr = (fact->ops->iludtfactornumeric)(fact,mat,info);CHKERRQ(ierr);
5541   ierr = PetscLogEventEnd(MAT_ILUDTFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
5542 
5543   ierr = MatView_Private(fact);CHKERRQ(ierr);
5544   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
5545   PetscFunctionReturn(0);
5546 }
5547 
5548 #undef __FUNCT__
5549 #define __FUNCT__ "MatGetArray"
5550 /*@C
5551    MatGetArray - Returns a pointer to the element values in the matrix.
5552    The result of this routine is dependent on the underlying matrix data
5553    structure, and may not even work for certain matrix types.  You MUST
5554    call MatRestoreArray() when you no longer need to access the array.
5555 
5556    Not Collective
5557 
5558    Input Parameter:
5559 .  mat - the matrix
5560 
5561    Output Parameter:
5562 .  v - the location of the values
5563 
5564 
5565    Fortran Note:
5566    This routine is used differently from Fortran, e.g.,
5567 .vb
5568         Mat         mat
5569         PetscScalar mat_array(1)
5570         PetscOffset i_mat
5571         PetscErrorCode ierr
5572         call MatGetArray(mat,mat_array,i_mat,ierr)
5573 
5574   C  Access first local entry in matrix; note that array is
5575   C  treated as one dimensional
5576         value = mat_array(i_mat + 1)
5577 
5578         [... other code ...]
5579         call MatRestoreArray(mat,mat_array,i_mat,ierr)
5580 .ve
5581 
5582    See the Fortran chapter of the users manual and
5583    petsc/src/mat/examples/tests for details.
5584 
5585    Level: advanced
5586 
5587    Concepts: matrices^access array
5588 
5589 .seealso: MatRestoreArray(), MatGetArrayF90(), MatGetRowIJ()
5590 @*/
5591 PetscErrorCode PETSCMAT_DLLEXPORT MatGetArray(Mat mat,PetscScalar *v[])
5592 {
5593   PetscErrorCode ierr;
5594 
5595   PetscFunctionBegin;
5596   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5597   PetscValidType(mat,1);
5598   PetscValidPointer(v,2);
5599   if (!mat->ops->getarray) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5600   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5601   ierr = (*mat->ops->getarray)(mat,v);CHKERRQ(ierr);
5602   CHKMEMQ;
5603   PetscFunctionReturn(0);
5604 }
5605 
5606 #undef __FUNCT__
5607 #define __FUNCT__ "MatRestoreArray"
5608 /*@C
5609    MatRestoreArray - Restores the matrix after MatGetArray() has been called.
5610 
5611    Not Collective
5612 
5613    Input Parameter:
5614 +  mat - the matrix
5615 -  v - the location of the values
5616 
5617    Fortran Note:
5618    This routine is used differently from Fortran, e.g.,
5619 .vb
5620         Mat         mat
5621         PetscScalar mat_array(1)
5622         PetscOffset i_mat
5623         PetscErrorCode ierr
5624         call MatGetArray(mat,mat_array,i_mat,ierr)
5625 
5626   C  Access first local entry in matrix; note that array is
5627   C  treated as one dimensional
5628         value = mat_array(i_mat + 1)
5629 
5630         [... other code ...]
5631         call MatRestoreArray(mat,mat_array,i_mat,ierr)
5632 .ve
5633 
5634    See the Fortran chapter of the users manual and
5635    petsc/src/mat/examples/tests for details
5636 
5637    Level: advanced
5638 
5639 .seealso: MatGetArray(), MatRestoreArrayF90()
5640 @*/
5641 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreArray(Mat mat,PetscScalar *v[])
5642 {
5643   PetscErrorCode ierr;
5644 
5645   PetscFunctionBegin;
5646   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5647   PetscValidType(mat,1);
5648   PetscValidPointer(v,2);
5649 #if defined(PETSC_USE_DEBUG)
5650   CHKMEMQ;
5651 #endif
5652   if (!mat->ops->restorearray) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5653   ierr = (*mat->ops->restorearray)(mat,v);CHKERRQ(ierr);
5654   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5655   PetscFunctionReturn(0);
5656 }
5657 
5658 #undef __FUNCT__
5659 #define __FUNCT__ "MatGetSubMatrices"
5660 /*@C
5661    MatGetSubMatrices - Extracts several submatrices from a matrix. If submat
5662    points to an array of valid matrices, they may be reused to store the new
5663    submatrices.
5664 
5665    Collective on Mat
5666 
5667    Input Parameters:
5668 +  mat - the matrix
5669 .  n   - the number of submatrixes to be extracted (on this processor, may be zero)
5670 .  irow, icol - index sets of rows and columns to extract
5671 -  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
5672 
5673    Output Parameter:
5674 .  submat - the array of submatrices
5675 
5676    Notes:
5677    MatGetSubMatrices() can extract ONLY sequential submatrices
5678    (from both sequential and parallel matrices). Use MatGetSubMatrix()
5679    to extract a parallel submatrix.
5680 
5681    When extracting submatrices from a parallel matrix, each processor can
5682    form a different submatrix by setting the rows and columns of its
5683    individual index sets according to the local submatrix desired.
5684 
5685    When finished using the submatrices, the user should destroy
5686    them with MatDestroyMatrices().
5687 
5688    MAT_REUSE_MATRIX can only be used when the nonzero structure of the
5689    original matrix has not changed from that last call to MatGetSubMatrices().
5690 
5691    This routine creates the matrices in submat; you should NOT create them before
5692    calling it. It also allocates the array of matrix pointers submat.
5693 
5694    For BAIJ matrices the index sets must respect the block structure, that is if they
5695    request one row/column in a block, they must request all rows/columns that are in
5696    that block. For example, if the block size is 2 you cannot request just row 0 and
5697    column 0.
5698 
5699    Fortran Note:
5700    The Fortran interface is slightly different from that given below; it
5701    requires one to pass in  as submat a Mat (integer) array of size at least m.
5702 
5703    Level: advanced
5704 
5705    Concepts: matrices^accessing submatrices
5706    Concepts: submatrices
5707 
5708 .seealso: MatDestroyMatrices(), MatGetSubMatrix(), MatGetRow(), MatGetDiagonal(), MatReuse
5709 @*/
5710 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[])
5711 {
5712   PetscErrorCode ierr;
5713   PetscInt        i;
5714   PetscTruth      eq;
5715 
5716   PetscFunctionBegin;
5717   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5718   PetscValidType(mat,1);
5719   if (n) {
5720     PetscValidPointer(irow,3);
5721     PetscValidHeaderSpecific(*irow,IS_COOKIE,3);
5722     PetscValidPointer(icol,4);
5723     PetscValidHeaderSpecific(*icol,IS_COOKIE,4);
5724   }
5725   PetscValidPointer(submat,6);
5726   if (n && scall == MAT_REUSE_MATRIX) {
5727     PetscValidPointer(*submat,6);
5728     PetscValidHeaderSpecific(**submat,MAT_COOKIE,6);
5729   }
5730   if (!mat->ops->getsubmatrices) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5731   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5732   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5733   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5734 
5735   ierr = PetscLogEventBegin(MAT_GetSubMatrices,mat,0,0,0);CHKERRQ(ierr);
5736   ierr = (*mat->ops->getsubmatrices)(mat,n,irow,icol,scall,submat);CHKERRQ(ierr);
5737   ierr = PetscLogEventEnd(MAT_GetSubMatrices,mat,0,0,0);CHKERRQ(ierr);
5738   for (i=0; i<n; i++) {
5739     if (mat->symmetric || mat->structurally_symmetric || mat->hermitian) {
5740       ierr = ISEqual(irow[i],icol[i],&eq);CHKERRQ(ierr);
5741       if (eq) {
5742 	if (mat->symmetric){
5743 	  ierr = MatSetOption((*submat)[i],MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
5744 	} else if (mat->hermitian) {
5745 	  ierr = MatSetOption((*submat)[i],MAT_HERMITIAN,PETSC_TRUE);CHKERRQ(ierr);
5746 	} else if (mat->structurally_symmetric) {
5747 	  ierr = MatSetOption((*submat)[i],MAT_STRUCTURALLY_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
5748 	}
5749       }
5750     }
5751   }
5752   PetscFunctionReturn(0);
5753 }
5754 
5755 #undef __FUNCT__
5756 #define __FUNCT__ "MatDestroyMatrices"
5757 /*@C
5758    MatDestroyMatrices - Destroys a set of matrices obtained with MatGetSubMatrices().
5759 
5760    Collective on Mat
5761 
5762    Input Parameters:
5763 +  n - the number of local matrices
5764 -  mat - the matrices (note that this is a pointer to the array of matrices, just to match the calling
5765                        sequence of MatGetSubMatrices())
5766 
5767    Level: advanced
5768 
5769     Notes: Frees not only the matrices, but also the array that contains the matrices
5770            In Fortran will not free the array.
5771 
5772 .seealso: MatGetSubMatrices()
5773 @*/
5774 PetscErrorCode PETSCMAT_DLLEXPORT MatDestroyMatrices(PetscInt n,Mat *mat[])
5775 {
5776   PetscErrorCode ierr;
5777   PetscInt       i;
5778 
5779   PetscFunctionBegin;
5780   if (n < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Trying to destroy negative number of matrices %D",n);
5781   PetscValidPointer(mat,2);
5782   for (i=0; i<n; i++) {
5783     ierr = MatDestroy((*mat)[i]);CHKERRQ(ierr);
5784   }
5785   /* memory is allocated even if n = 0 */
5786   ierr = PetscFree(*mat);CHKERRQ(ierr);
5787   PetscFunctionReturn(0);
5788 }
5789 
5790 #undef __FUNCT__
5791 #define __FUNCT__ "MatGetSeqNonzeroStructure"
5792 /*@C
5793    MatGetSeqNonzeroStructure - Extracts the sequential nonzero structure from a matrix.
5794 
5795    Collective on Mat
5796 
5797    Input Parameters:
5798 .  mat - the matrix
5799 
5800    Output Parameter:
5801 .  matstruct - the sequential matrix with the nonzero structure of mat
5802 
5803   Level: intermediate
5804 
5805 .seealso: MatDestroySeqNonzeroStructure(), MatGetSubMatrices(), MatDestroyMatrices()
5806 @*/
5807 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSeqNonzeroStructure(Mat mat,Mat *matstruct)
5808 {
5809   PetscErrorCode ierr;
5810 
5811   PetscFunctionBegin;
5812   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5813   PetscValidPointer(matstruct,2);
5814 
5815   PetscValidType(mat,1);
5816   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5817   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5818 
5819   if (!mat->ops->getseqnonzerostructure) SETERRQ1(PETSC_ERR_SUP,"Not for matrix type %s\n",((PetscObject)mat)->type_name);
5820   ierr = PetscLogEventBegin(MAT_GetSeqNonzeroStructure,mat,0,0,0);CHKERRQ(ierr);
5821   ierr = (*mat->ops->getseqnonzerostructure)(mat,matstruct);CHKERRQ(ierr);
5822   ierr = PetscLogEventEnd(MAT_GetSeqNonzeroStructure,mat,0,0,0);CHKERRQ(ierr);
5823   PetscFunctionReturn(0);
5824 }
5825 
5826 #undef __FUNCT__
5827 #define __FUNCT__ "MatDestroySeqNonzeroStructure"
5828 /*@C
5829    MatDestroySeqNonzeroStructure - Destroys matrix obtained with MatGetSeqNonzeroStructure().
5830 
5831    Collective on Mat
5832 
5833    Input Parameters:
5834 .  mat - the matrix (note that this is a pointer to the array of matrices, just to match the calling
5835                        sequence of MatGetSequentialNonzeroStructure())
5836 
5837    Level: advanced
5838 
5839     Notes: Frees not only the matrices, but also the array that contains the matrices
5840 
5841 .seealso: MatGetSeqNonzeroStructure()
5842 @*/
5843 PetscErrorCode PETSCMAT_DLLEXPORT MatDestroySeqNonzeroStructure(Mat *mat)
5844 {
5845   PetscErrorCode ierr;
5846 
5847   PetscFunctionBegin;
5848   PetscValidPointer(mat,1);
5849   ierr = MatDestroy(*mat);CHKERRQ(ierr);
5850   PetscFunctionReturn(0);
5851 }
5852 
5853 #undef __FUNCT__
5854 #define __FUNCT__ "MatIncreaseOverlap"
5855 /*@
5856    MatIncreaseOverlap - Given a set of submatrices indicated by index sets,
5857    replaces the index sets by larger ones that represent submatrices with
5858    additional overlap.
5859 
5860    Collective on Mat
5861 
5862    Input Parameters:
5863 +  mat - the matrix
5864 .  n   - the number of index sets
5865 .  is  - the array of index sets (these index sets will changed during the call)
5866 -  ov  - the additional overlap requested
5867 
5868    Level: developer
5869 
5870    Concepts: overlap
5871    Concepts: ASM^computing overlap
5872 
5873 .seealso: MatGetSubMatrices()
5874 @*/
5875 PetscErrorCode PETSCMAT_DLLEXPORT MatIncreaseOverlap(Mat mat,PetscInt n,IS is[],PetscInt ov)
5876 {
5877   PetscErrorCode ierr;
5878 
5879   PetscFunctionBegin;
5880   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5881   PetscValidType(mat,1);
5882   if (n < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Must have one or more domains, you have %D",n);
5883   if (n) {
5884     PetscValidPointer(is,3);
5885     PetscValidHeaderSpecific(*is,IS_COOKIE,3);
5886   }
5887   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5888   if (mat->factor)     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5889   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5890 
5891   if (!ov) PetscFunctionReturn(0);
5892   if (!mat->ops->increaseoverlap) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5893   ierr = PetscLogEventBegin(MAT_IncreaseOverlap,mat,0,0,0);CHKERRQ(ierr);
5894   ierr = (*mat->ops->increaseoverlap)(mat,n,is,ov);CHKERRQ(ierr);
5895   ierr = PetscLogEventEnd(MAT_IncreaseOverlap,mat,0,0,0);CHKERRQ(ierr);
5896   PetscFunctionReturn(0);
5897 }
5898 
5899 #undef __FUNCT__
5900 #define __FUNCT__ "MatGetBlockSize"
5901 /*@
5902    MatGetBlockSize - Returns the matrix block size; useful especially for the
5903    block row and block diagonal formats.
5904 
5905    Not Collective
5906 
5907    Input Parameter:
5908 .  mat - the matrix
5909 
5910    Output Parameter:
5911 .  bs - block size
5912 
5913    Notes:
5914    Block row formats are MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ
5915 
5916    Level: intermediate
5917 
5918    Concepts: matrices^block size
5919 
5920 .seealso: MatCreateSeqBAIJ(), MatCreateMPIBAIJ()
5921 @*/
5922 PetscErrorCode PETSCMAT_DLLEXPORT MatGetBlockSize(Mat mat,PetscInt *bs)
5923 {
5924   PetscErrorCode ierr;
5925 
5926   PetscFunctionBegin;
5927   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5928   PetscValidType(mat,1);
5929   PetscValidIntPointer(bs,2);
5930   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5931   *bs = mat->rmap->bs;
5932   PetscFunctionReturn(0);
5933 }
5934 
5935 #undef __FUNCT__
5936 #define __FUNCT__ "MatSetBlockSize"
5937 /*@
5938    MatSetBlockSize - Sets the matrix block size; for many matrix types you
5939      cannot use this and MUST set the blocksize when you preallocate the matrix
5940 
5941    Collective on Mat
5942 
5943    Input Parameters:
5944 +  mat - the matrix
5945 -  bs - block size
5946 
5947    Notes:
5948      Only works for shell and AIJ matrices
5949 
5950    Level: intermediate
5951 
5952    Concepts: matrices^block size
5953 
5954 .seealso: MatCreateSeqBAIJ(), MatCreateMPIBAIJ(), MatGetBlockSize()
5955 @*/
5956 PetscErrorCode PETSCMAT_DLLEXPORT MatSetBlockSize(Mat mat,PetscInt bs)
5957 {
5958   PetscErrorCode ierr;
5959 
5960   PetscFunctionBegin;
5961   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5962   PetscValidType(mat,1);
5963   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5964   if (mat->ops->setblocksize) {
5965     /* XXX should check if (bs < 1) ??? */
5966     ierr = PetscMapSetBlockSize(mat->rmap,bs);CHKERRQ(ierr);
5967     ierr = PetscMapSetBlockSize(mat->cmap,bs);CHKERRQ(ierr);
5968     ierr = (*mat->ops->setblocksize)(mat,bs);CHKERRQ(ierr);
5969   } else {
5970     SETERRQ1(PETSC_ERR_ARG_INCOMP,"Cannot set the blocksize for matrix type %s",((PetscObject)mat)->type_name);
5971   }
5972   PetscFunctionReturn(0);
5973 }
5974 
5975 #undef __FUNCT__
5976 #define __FUNCT__ "MatGetRowIJ"
5977 /*@C
5978     MatGetRowIJ - Returns the compressed row storage i and j indices for sequential matrices.
5979 
5980    Collective on Mat
5981 
5982     Input Parameters:
5983 +   mat - the matrix
5984 .   shift -  0 or 1 indicating we want the indices starting at 0 or 1
5985 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
5986                 symmetrized
5987 -   inodecompressed - PETSC_TRUE or PETSC_FALSE  indicating if the nonzero structure of the
5988                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
5989                  always used.
5990 
5991     Output Parameters:
5992 +   n - number of rows in the (possibly compressed) matrix
5993 .   ia - the row pointers [of length n+1]
5994 .   ja - the column indices
5995 -   done - indicates if the routine actually worked and returned appropriate ia[] and ja[] arrays; callers
5996            are responsible for handling the case when done == PETSC_FALSE and ia and ja are not set
5997 
5998     Level: developer
5999 
6000     Notes: You CANNOT change any of the ia[] or ja[] values.
6001 
6002            Use MatRestoreRowIJ() when you are finished accessing the ia[] and ja[] values
6003 
6004     Fortran Node
6005 
6006            In Fortran use
6007 $           PetscInt ia(1), ja(1)
6008 $           PetscOffset iia, jja
6009 $      call MatGetRowIJ(mat,shift,symmetric,inodecompressed,n,ia,iia,ja,jja,done,ierr)
6010 
6011        Acess the ith and jth entries via ia(iia + i) and ja(jja + j)
6012 
6013 .seealso: MatGetColumnIJ(), MatRestoreRowIJ(), MatGetArray()
6014 @*/
6015 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
6016 {
6017   PetscErrorCode ierr;
6018 
6019   PetscFunctionBegin;
6020   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6021   PetscValidType(mat,1);
6022   PetscValidIntPointer(n,4);
6023   if (ia) PetscValidIntPointer(ia,5);
6024   if (ja) PetscValidIntPointer(ja,6);
6025   PetscValidIntPointer(done,7);
6026   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6027   if (!mat->ops->getrowij) *done = PETSC_FALSE;
6028   else {
6029     *done = PETSC_TRUE;
6030     ierr = PetscLogEventBegin(MAT_GetRowIJ,mat,0,0,0);CHKERRQ(ierr);
6031     ierr  = (*mat->ops->getrowij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
6032     ierr = PetscLogEventEnd(MAT_GetRowIJ,mat,0,0,0);CHKERRQ(ierr);
6033   }
6034   PetscFunctionReturn(0);
6035 }
6036 
6037 #undef __FUNCT__
6038 #define __FUNCT__ "MatGetColumnIJ"
6039 /*@C
6040     MatGetColumnIJ - Returns the compressed column storage i and j indices for sequential matrices.
6041 
6042     Collective on Mat
6043 
6044     Input Parameters:
6045 +   mat - the matrix
6046 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
6047 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
6048                 symmetrized
6049 -   inodecompressed - PETSC_TRUE or PETSC_FALSE indicating if the nonzero structure of the
6050                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
6051                  always used.
6052 
6053     Output Parameters:
6054 +   n - number of columns in the (possibly compressed) matrix
6055 .   ia - the column pointers
6056 .   ja - the row indices
6057 -   done - PETSC_TRUE or PETSC_FALSE, indicating whether the values have been returned
6058 
6059     Level: developer
6060 
6061 .seealso: MatGetRowIJ(), MatRestoreColumnIJ()
6062 @*/
6063 PetscErrorCode PETSCMAT_DLLEXPORT MatGetColumnIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
6064 {
6065   PetscErrorCode ierr;
6066 
6067   PetscFunctionBegin;
6068   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6069   PetscValidType(mat,1);
6070   PetscValidIntPointer(n,4);
6071   if (ia) PetscValidIntPointer(ia,5);
6072   if (ja) PetscValidIntPointer(ja,6);
6073   PetscValidIntPointer(done,7);
6074   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6075   if (!mat->ops->getcolumnij) *done = PETSC_FALSE;
6076   else {
6077     *done = PETSC_TRUE;
6078     ierr  = (*mat->ops->getcolumnij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
6079   }
6080   PetscFunctionReturn(0);
6081 }
6082 
6083 #undef __FUNCT__
6084 #define __FUNCT__ "MatRestoreRowIJ"
6085 /*@C
6086     MatRestoreRowIJ - Call after you are completed with the ia,ja indices obtained with
6087     MatGetRowIJ().
6088 
6089     Collective on Mat
6090 
6091     Input Parameters:
6092 +   mat - the matrix
6093 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
6094 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
6095                 symmetrized
6096 -   inodecompressed -  PETSC_TRUE or PETSC_FALSE indicating if the nonzero structure of the
6097                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
6098                  always used.
6099 
6100     Output Parameters:
6101 +   n - size of (possibly compressed) matrix
6102 .   ia - the row pointers
6103 .   ja - the column indices
6104 -   done - PETSC_TRUE or PETSC_FALSE indicated that the values have been returned
6105 
6106     Level: developer
6107 
6108 .seealso: MatGetRowIJ(), MatRestoreColumnIJ()
6109 @*/
6110 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRowIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
6111 {
6112   PetscErrorCode ierr;
6113 
6114   PetscFunctionBegin;
6115   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6116   PetscValidType(mat,1);
6117   if (ia) PetscValidIntPointer(ia,5);
6118   if (ja) PetscValidIntPointer(ja,6);
6119   PetscValidIntPointer(done,7);
6120   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6121 
6122   if (!mat->ops->restorerowij) *done = PETSC_FALSE;
6123   else {
6124     *done = PETSC_TRUE;
6125     ierr  = (*mat->ops->restorerowij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
6126   }
6127   PetscFunctionReturn(0);
6128 }
6129 
6130 #undef __FUNCT__
6131 #define __FUNCT__ "MatRestoreColumnIJ"
6132 /*@C
6133     MatRestoreColumnIJ - Call after you are completed with the ia,ja indices obtained with
6134     MatGetColumnIJ().
6135 
6136     Collective on Mat
6137 
6138     Input Parameters:
6139 +   mat - the matrix
6140 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
6141 -   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
6142                 symmetrized
6143 -   inodecompressed - PETSC_TRUE or PETSC_FALSE indicating if the nonzero structure of the
6144                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
6145                  always used.
6146 
6147     Output Parameters:
6148 +   n - size of (possibly compressed) matrix
6149 .   ia - the column pointers
6150 .   ja - the row indices
6151 -   done - PETSC_TRUE or PETSC_FALSE indicated that the values have been returned
6152 
6153     Level: developer
6154 
6155 .seealso: MatGetColumnIJ(), MatRestoreRowIJ()
6156 @*/
6157 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreColumnIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
6158 {
6159   PetscErrorCode ierr;
6160 
6161   PetscFunctionBegin;
6162   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6163   PetscValidType(mat,1);
6164   if (ia) PetscValidIntPointer(ia,5);
6165   if (ja) PetscValidIntPointer(ja,6);
6166   PetscValidIntPointer(done,7);
6167   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6168 
6169   if (!mat->ops->restorecolumnij) *done = PETSC_FALSE;
6170   else {
6171     *done = PETSC_TRUE;
6172     ierr  = (*mat->ops->restorecolumnij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
6173   }
6174   PetscFunctionReturn(0);
6175 }
6176 
6177 #undef __FUNCT__
6178 #define __FUNCT__ "MatColoringPatch"
6179 /*@C
6180     MatColoringPatch -Used inside matrix coloring routines that
6181     use MatGetRowIJ() and/or MatGetColumnIJ().
6182 
6183     Collective on Mat
6184 
6185     Input Parameters:
6186 +   mat - the matrix
6187 .   ncolors - max color value
6188 .   n   - number of entries in colorarray
6189 -   colorarray - array indicating color for each column
6190 
6191     Output Parameters:
6192 .   iscoloring - coloring generated using colorarray information
6193 
6194     Level: developer
6195 
6196 .seealso: MatGetRowIJ(), MatGetColumnIJ()
6197 
6198 @*/
6199 PetscErrorCode PETSCMAT_DLLEXPORT MatColoringPatch(Mat mat,PetscInt ncolors,PetscInt n,ISColoringValue colorarray[],ISColoring *iscoloring)
6200 {
6201   PetscErrorCode ierr;
6202 
6203   PetscFunctionBegin;
6204   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6205   PetscValidType(mat,1);
6206   PetscValidIntPointer(colorarray,4);
6207   PetscValidPointer(iscoloring,5);
6208   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6209 
6210   if (!mat->ops->coloringpatch){
6211     ierr = ISColoringCreate(((PetscObject)mat)->comm,ncolors,n,colorarray,iscoloring);CHKERRQ(ierr);
6212   } else {
6213     ierr = (*mat->ops->coloringpatch)(mat,ncolors,n,colorarray,iscoloring);CHKERRQ(ierr);
6214   }
6215   PetscFunctionReturn(0);
6216 }
6217 
6218 
6219 #undef __FUNCT__
6220 #define __FUNCT__ "MatSetUnfactored"
6221 /*@
6222    MatSetUnfactored - Resets a factored matrix to be treated as unfactored.
6223 
6224    Collective on Mat
6225 
6226    Input Parameter:
6227 .  mat - the factored matrix to be reset
6228 
6229    Notes:
6230    This routine should be used only with factored matrices formed by in-place
6231    factorization via ILU(0) (or by in-place LU factorization for the MATSEQDENSE
6232    format).  This option can save memory, for example, when solving nonlinear
6233    systems with a matrix-free Newton-Krylov method and a matrix-based, in-place
6234    ILU(0) preconditioner.
6235 
6236    Note that one can specify in-place ILU(0) factorization by calling
6237 .vb
6238      PCType(pc,PCILU);
6239      PCFactorSeUseInPlace(pc);
6240 .ve
6241    or by using the options -pc_type ilu -pc_factor_in_place
6242 
6243    In-place factorization ILU(0) can also be used as a local
6244    solver for the blocks within the block Jacobi or additive Schwarz
6245    methods (runtime option: -sub_pc_factor_in_place).  See the discussion
6246    of these preconditioners in the users manual for details on setting
6247    local solver options.
6248 
6249    Most users should employ the simplified KSP interface for linear solvers
6250    instead of working directly with matrix algebra routines such as this.
6251    See, e.g., KSPCreate().
6252 
6253    Level: developer
6254 
6255 .seealso: PCFactorSetUseInPlace()
6256 
6257    Concepts: matrices^unfactored
6258 
6259 @*/
6260 PetscErrorCode PETSCMAT_DLLEXPORT MatSetUnfactored(Mat mat)
6261 {
6262   PetscErrorCode ierr;
6263 
6264   PetscFunctionBegin;
6265   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6266   PetscValidType(mat,1);
6267   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6268   mat->factor = MAT_FACTOR_NONE;
6269   if (!mat->ops->setunfactored) PetscFunctionReturn(0);
6270   ierr = (*mat->ops->setunfactored)(mat);CHKERRQ(ierr);
6271   PetscFunctionReturn(0);
6272 }
6273 
6274 /*MC
6275     MatGetArrayF90 - Accesses a matrix array from Fortran90.
6276 
6277     Synopsis:
6278     MatGetArrayF90(Mat x,{Scalar, pointer :: xx_v(:)},integer ierr)
6279 
6280     Not collective
6281 
6282     Input Parameter:
6283 .   x - matrix
6284 
6285     Output Parameters:
6286 +   xx_v - the Fortran90 pointer to the array
6287 -   ierr - error code
6288 
6289     Example of Usage:
6290 .vb
6291       PetscScalar, pointer xx_v(:)
6292       ....
6293       call MatGetArrayF90(x,xx_v,ierr)
6294       a = xx_v(3)
6295       call MatRestoreArrayF90(x,xx_v,ierr)
6296 .ve
6297 
6298     Notes:
6299     Not yet supported for all F90 compilers
6300 
6301     Level: advanced
6302 
6303 .seealso:  MatRestoreArrayF90(), MatGetArray(), MatRestoreArray()
6304 
6305     Concepts: matrices^accessing array
6306 
6307 M*/
6308 
6309 /*MC
6310     MatRestoreArrayF90 - Restores a matrix array that has been
6311     accessed with MatGetArrayF90().
6312 
6313     Synopsis:
6314     MatRestoreArrayF90(Mat x,{Scalar, pointer :: xx_v(:)},integer ierr)
6315 
6316     Not collective
6317 
6318     Input Parameters:
6319 +   x - matrix
6320 -   xx_v - the Fortran90 pointer to the array
6321 
6322     Output Parameter:
6323 .   ierr - error code
6324 
6325     Example of Usage:
6326 .vb
6327        PetscScalar, pointer xx_v(:)
6328        ....
6329        call MatGetArrayF90(x,xx_v,ierr)
6330        a = xx_v(3)
6331        call MatRestoreArrayF90(x,xx_v,ierr)
6332 .ve
6333 
6334     Notes:
6335     Not yet supported for all F90 compilers
6336 
6337     Level: advanced
6338 
6339 .seealso:  MatGetArrayF90(), MatGetArray(), MatRestoreArray()
6340 
6341 M*/
6342 
6343 
6344 #undef __FUNCT__
6345 #define __FUNCT__ "MatGetSubMatrix"
6346 /*@
6347     MatGetSubMatrix - Gets a single submatrix on the same number of processors
6348                       as the original matrix.
6349 
6350     Collective on Mat
6351 
6352     Input Parameters:
6353 +   mat - the original matrix
6354 .   isrow - parallel IS containing the rows this processor should obtain
6355 .   iscol - parallel IS containing all columns you wish to keep
6356 -   cll - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
6357 
6358     Output Parameter:
6359 .   newmat - the new submatrix, of the same type as the old
6360 
6361     Level: advanced
6362 
6363     Notes:
6364     The submatrix will be able to be multiplied with vectors using the same layout as iscol.
6365 
6366     The rows is isrow will be sorted into the same order as the original matrix.
6367 
6368       The first time this is called you should use a cll of MAT_INITIAL_MATRIX,
6369    the MatGetSubMatrix() routine will create the newmat for you. Any additional calls
6370    to this routine with a mat of the same nonzero structure and with a call of MAT_REUSE_MATRIX
6371    will reuse the matrix generated the first time.  You should call MatDestroy() on newmat when
6372    you are finished using it.
6373 
6374     The communicator of the newly obtained matrix is ALWAYS the same as the communicator of
6375     the input matrix.
6376 
6377     If iscol is PETSC_NULL then all columns are obtained (not supported in Fortran).
6378 
6379    Example usage:
6380    Consider the following 8x8 matrix with 34 non-zero values, that is
6381    assembled across 3 processors. Lets assume that proc0 owns 3 rows,
6382    proc1 owns 3 rows, proc2 owns 2 rows. This division can be shown
6383    as follows:
6384 
6385 .vb
6386             1  2  0  |  0  3  0  |  0  4
6387     Proc0   0  5  6  |  7  0  0  |  8  0
6388             9  0 10  | 11  0  0  | 12  0
6389     -------------------------------------
6390            13  0 14  | 15 16 17  |  0  0
6391     Proc1   0 18  0  | 19 20 21  |  0  0
6392             0  0  0  | 22 23  0  | 24  0
6393     -------------------------------------
6394     Proc2  25 26 27  |  0  0 28  | 29  0
6395            30  0  0  | 31 32 33  |  0 34
6396 .ve
6397 
6398     Suppose isrow = [0 1 | 4 | 5 6] and iscol = [1 2 | 3 4 5 | 6].  The resulting submatrix is
6399 
6400 .vb
6401             2  0  |  0  3  0  |  0
6402     Proc0   5  6  |  7  0  0  |  8
6403     -------------------------------
6404     Proc1  18  0  | 19 20 21  |  0
6405     -------------------------------
6406     Proc2  26 27  |  0  0 28  | 29
6407             0  0  | 31 32 33  |  0
6408 .ve
6409 
6410 
6411     Concepts: matrices^submatrices
6412 
6413 .seealso: MatGetSubMatrices()
6414 @*/
6415 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat)
6416 {
6417   PetscErrorCode ierr;
6418   PetscMPIInt    size;
6419   Mat            *local;
6420   IS             iscoltmp;
6421 
6422   PetscFunctionBegin;
6423   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6424   PetscValidHeaderSpecific(isrow,IS_COOKIE,2);
6425   if (iscol) PetscValidHeaderSpecific(iscol,IS_COOKIE,3);
6426   PetscValidPointer(newmat,6);
6427   if (cll == MAT_REUSE_MATRIX) PetscValidHeaderSpecific(*newmat,MAT_COOKIE,6);
6428   PetscValidType(mat,1);
6429   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6430   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6431   ierr = MPI_Comm_size(((PetscObject)mat)->comm,&size);CHKERRQ(ierr);
6432 
6433   if (!iscol) {
6434     ierr = ISCreateStride(((PetscObject)mat)->comm,mat->cmap->n,mat->cmap->rstart,1,&iscoltmp);CHKERRQ(ierr);
6435   } else {
6436     iscoltmp = iscol;
6437   }
6438 
6439   /* if original matrix is on just one processor then use submatrix generated */
6440   if (mat->ops->getsubmatrices && !mat->ops->getsubmatrix && size == 1 && cll == MAT_REUSE_MATRIX) {
6441     ierr = MatGetSubMatrices(mat,1,&isrow,&iscoltmp,MAT_REUSE_MATRIX,&newmat);CHKERRQ(ierr);
6442     if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6443     PetscFunctionReturn(0);
6444   } else if (mat->ops->getsubmatrices && !mat->ops->getsubmatrix && size == 1) {
6445     ierr    = MatGetSubMatrices(mat,1,&isrow,&iscoltmp,MAT_INITIAL_MATRIX,&local);CHKERRQ(ierr);
6446     *newmat = *local;
6447     ierr    = PetscFree(local);CHKERRQ(ierr);
6448     if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6449     PetscFunctionReturn(0);
6450   } else if (!mat->ops->getsubmatrix) {
6451     /* Create a new matrix type that implements the operation using the full matrix */
6452     switch (cll) {
6453       case MAT_INITIAL_MATRIX:
6454         ierr = MatCreateSubMatrix(mat,isrow,iscoltmp,newmat);CHKERRQ(ierr);
6455         break;
6456       case MAT_REUSE_MATRIX:
6457         ierr = MatSubMatrixUpdate(*newmat,mat,isrow,iscoltmp);CHKERRQ(ierr);
6458         break;
6459       default: SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Invalid MatReuse, must be either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX");
6460     }
6461     if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6462     PetscFunctionReturn(0);
6463   }
6464 
6465   if (!mat->ops->getsubmatrix) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6466   ierr = (*mat->ops->getsubmatrix)(mat,isrow,iscoltmp,cll,newmat);CHKERRQ(ierr);
6467   if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6468   ierr = PetscObjectStateIncrease((PetscObject)*newmat);CHKERRQ(ierr);
6469   PetscFunctionReturn(0);
6470 }
6471 
6472 #undef __FUNCT__
6473 #define __FUNCT__ "MatStashSetInitialSize"
6474 /*@
6475    MatStashSetInitialSize - sets the sizes of the matrix stash, that is
6476    used during the assembly process to store values that belong to
6477    other processors.
6478 
6479    Not Collective
6480 
6481    Input Parameters:
6482 +  mat   - the matrix
6483 .  size  - the initial size of the stash.
6484 -  bsize - the initial size of the block-stash(if used).
6485 
6486    Options Database Keys:
6487 +   -matstash_initial_size <size> or <size0,size1,...sizep-1>
6488 -   -matstash_block_initial_size <bsize>  or <bsize0,bsize1,...bsizep-1>
6489 
6490    Level: intermediate
6491 
6492    Notes:
6493      The block-stash is used for values set with MatSetValuesBlocked() while
6494      the stash is used for values set with MatSetValues()
6495 
6496      Run with the option -info and look for output of the form
6497      MatAssemblyBegin_MPIXXX:Stash has MM entries, uses nn mallocs.
6498      to determine the appropriate value, MM, to use for size and
6499      MatAssemblyBegin_MPIXXX:Block-Stash has BMM entries, uses nn mallocs.
6500      to determine the value, BMM to use for bsize
6501 
6502    Concepts: stash^setting matrix size
6503    Concepts: matrices^stash
6504 
6505 .seealso: MatAssemblyBegin(), MatAssemblyEnd(), Mat, MatStashGetInfo()
6506 
6507 @*/
6508 PetscErrorCode PETSCMAT_DLLEXPORT MatStashSetInitialSize(Mat mat,PetscInt size, PetscInt bsize)
6509 {
6510   PetscErrorCode ierr;
6511 
6512   PetscFunctionBegin;
6513   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6514   PetscValidType(mat,1);
6515   ierr = MatStashSetInitialSize_Private(&mat->stash,size);CHKERRQ(ierr);
6516   ierr = MatStashSetInitialSize_Private(&mat->bstash,bsize);CHKERRQ(ierr);
6517   PetscFunctionReturn(0);
6518 }
6519 
6520 #undef __FUNCT__
6521 #define __FUNCT__ "MatInterpolateAdd"
6522 /*@
6523    MatInterpolateAdd - w = y + A*x or A'*x depending on the shape of
6524      the matrix
6525 
6526    Collective on Mat
6527 
6528    Input Parameters:
6529 +  mat   - the matrix
6530 .  x,y - the vectors
6531 -  w - where the result is stored
6532 
6533    Level: intermediate
6534 
6535    Notes:
6536     w may be the same vector as y.
6537 
6538     This allows one to use either the restriction or interpolation (its transpose)
6539     matrix to do the interpolation
6540 
6541     Concepts: interpolation
6542 
6543 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatRestrict()
6544 
6545 @*/
6546 PetscErrorCode PETSCMAT_DLLEXPORT MatInterpolateAdd(Mat A,Vec x,Vec y,Vec w)
6547 {
6548   PetscErrorCode ierr;
6549   PetscInt       M,N;
6550 
6551   PetscFunctionBegin;
6552   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6553   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
6554   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
6555   PetscValidHeaderSpecific(w,VEC_COOKIE,4);
6556   PetscValidType(A,1);
6557   ierr = MatPreallocated(A);CHKERRQ(ierr);
6558   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
6559   if (N > M) {
6560     ierr = MatMultTransposeAdd(A,x,y,w);CHKERRQ(ierr);
6561   } else {
6562     ierr = MatMultAdd(A,x,y,w);CHKERRQ(ierr);
6563   }
6564   PetscFunctionReturn(0);
6565 }
6566 
6567 #undef __FUNCT__
6568 #define __FUNCT__ "MatInterpolate"
6569 /*@
6570    MatInterpolate - y = A*x or A'*x depending on the shape of
6571      the matrix
6572 
6573    Collective on Mat
6574 
6575    Input Parameters:
6576 +  mat   - the matrix
6577 -  x,y - the vectors
6578 
6579    Level: intermediate
6580 
6581    Notes:
6582     This allows one to use either the restriction or interpolation (its transpose)
6583     matrix to do the interpolation
6584 
6585    Concepts: matrices^interpolation
6586 
6587 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatRestrict()
6588 
6589 @*/
6590 PetscErrorCode PETSCMAT_DLLEXPORT MatInterpolate(Mat A,Vec x,Vec y)
6591 {
6592   PetscErrorCode ierr;
6593   PetscInt       M,N;
6594 
6595   PetscFunctionBegin;
6596   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6597   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
6598   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
6599   PetscValidType(A,1);
6600   ierr = MatPreallocated(A);CHKERRQ(ierr);
6601   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
6602   if (N > M) {
6603     ierr = MatMultTranspose(A,x,y);CHKERRQ(ierr);
6604   } else {
6605     ierr = MatMult(A,x,y);CHKERRQ(ierr);
6606   }
6607   PetscFunctionReturn(0);
6608 }
6609 
6610 #undef __FUNCT__
6611 #define __FUNCT__ "MatRestrict"
6612 /*@
6613    MatRestrict - y = A*x or A'*x
6614 
6615    Collective on Mat
6616 
6617    Input Parameters:
6618 +  mat   - the matrix
6619 -  x,y - the vectors
6620 
6621    Level: intermediate
6622 
6623    Notes:
6624     This allows one to use either the restriction or interpolation (its transpose)
6625     matrix to do the restriction
6626 
6627    Concepts: matrices^restriction
6628 
6629 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatInterpolate()
6630 
6631 @*/
6632 PetscErrorCode PETSCMAT_DLLEXPORT MatRestrict(Mat A,Vec x,Vec y)
6633 {
6634   PetscErrorCode ierr;
6635   PetscInt       M,N;
6636 
6637   PetscFunctionBegin;
6638   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6639   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
6640   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
6641   PetscValidType(A,1);
6642   ierr = MatPreallocated(A);CHKERRQ(ierr);
6643 
6644   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
6645   if (N > M) {
6646     ierr = MatMult(A,x,y);CHKERRQ(ierr);
6647   } else {
6648     ierr = MatMultTranspose(A,x,y);CHKERRQ(ierr);
6649   }
6650   PetscFunctionReturn(0);
6651 }
6652 
6653 #undef __FUNCT__
6654 #define __FUNCT__ "MatNullSpaceAttach"
6655 /*@
6656    MatNullSpaceAttach - attaches a null space to a matrix.
6657         This null space will be removed from the resulting vector whenever
6658         MatMult() is called
6659 
6660    Collective on Mat
6661 
6662    Input Parameters:
6663 +  mat - the matrix
6664 -  nullsp - the null space object
6665 
6666    Level: developer
6667 
6668    Notes:
6669       Overwrites any previous null space that may have been attached
6670 
6671    Concepts: null space^attaching to matrix
6672 
6673 .seealso: MatCreate(), MatNullSpaceCreate()
6674 @*/
6675 PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceAttach(Mat mat,MatNullSpace nullsp)
6676 {
6677   PetscErrorCode ierr;
6678 
6679   PetscFunctionBegin;
6680   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6681   PetscValidType(mat,1);
6682   PetscValidHeaderSpecific(nullsp,MAT_NULLSPACE_COOKIE,2);
6683   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6684   ierr = PetscObjectReference((PetscObject)nullsp);CHKERRQ(ierr);
6685   if (mat->nullsp) { ierr = MatNullSpaceDestroy(mat->nullsp);CHKERRQ(ierr); }
6686   mat->nullsp = nullsp;
6687   PetscFunctionReturn(0);
6688 }
6689 
6690 #undef __FUNCT__
6691 #define __FUNCT__ "MatICCFactor"
6692 /*@C
6693    MatICCFactor - Performs in-place incomplete Cholesky factorization of matrix.
6694 
6695    Collective on Mat
6696 
6697    Input Parameters:
6698 +  mat - the matrix
6699 .  row - row/column permutation
6700 .  fill - expected fill factor >= 1.0
6701 -  level - level of fill, for ICC(k)
6702 
6703    Notes:
6704    Probably really in-place only when level of fill is zero, otherwise allocates
6705    new space to store factored matrix and deletes previous memory.
6706 
6707    Most users should employ the simplified KSP interface for linear solvers
6708    instead of working directly with matrix algebra routines such as this.
6709    See, e.g., KSPCreate().
6710 
6711    Level: developer
6712 
6713    Concepts: matrices^incomplete Cholesky factorization
6714    Concepts: Cholesky factorization
6715 
6716 .seealso: MatICCFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor()
6717 
6718     Developer Note: fortran interface is not autogenerated as the f90
6719     interface defintion cannot be generated correctly [due to MatFactorInfo]
6720 
6721 @*/
6722 PetscErrorCode PETSCMAT_DLLEXPORT MatICCFactor(Mat mat,IS row,const MatFactorInfo* info)
6723 {
6724   PetscErrorCode ierr;
6725 
6726   PetscFunctionBegin;
6727   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6728   PetscValidType(mat,1);
6729   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
6730   PetscValidPointer(info,3);
6731   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
6732   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6733   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6734   if (!mat->ops->iccfactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6735   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6736   ierr = (*mat->ops->iccfactor)(mat,row,info);CHKERRQ(ierr);
6737   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6738   PetscFunctionReturn(0);
6739 }
6740 
6741 #undef __FUNCT__
6742 #define __FUNCT__ "MatSetValuesAdic"
6743 /*@
6744    MatSetValuesAdic - Sets values computed with ADIC automatic differentiation into a matrix.
6745 
6746    Not Collective
6747 
6748    Input Parameters:
6749 +  mat - the matrix
6750 -  v - the values compute with ADIC
6751 
6752    Level: developer
6753 
6754    Notes:
6755      Must call MatSetColoring() before using this routine. Also this matrix must already
6756      have its nonzero pattern determined.
6757 
6758 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
6759           MatSetValues(), MatSetColoring(), MatSetValuesAdifor()
6760 @*/
6761 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesAdic(Mat mat,void *v)
6762 {
6763   PetscErrorCode ierr;
6764 
6765   PetscFunctionBegin;
6766   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6767   PetscValidType(mat,1);
6768   PetscValidPointer(mat,2);
6769 
6770   if (!mat->assembled) {
6771     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6772   }
6773   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6774   if (!mat->ops->setvaluesadic) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6775   ierr = (*mat->ops->setvaluesadic)(mat,v);CHKERRQ(ierr);
6776   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6777   ierr = MatView_Private(mat);CHKERRQ(ierr);
6778   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6779   PetscFunctionReturn(0);
6780 }
6781 
6782 
6783 #undef __FUNCT__
6784 #define __FUNCT__ "MatSetColoring"
6785 /*@
6786    MatSetColoring - Sets a coloring used by calls to MatSetValuesAdic()
6787 
6788    Not Collective
6789 
6790    Input Parameters:
6791 +  mat - the matrix
6792 -  coloring - the coloring
6793 
6794    Level: developer
6795 
6796 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
6797           MatSetValues(), MatSetValuesAdic()
6798 @*/
6799 PetscErrorCode PETSCMAT_DLLEXPORT MatSetColoring(Mat mat,ISColoring coloring)
6800 {
6801   PetscErrorCode ierr;
6802 
6803   PetscFunctionBegin;
6804   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6805   PetscValidType(mat,1);
6806   PetscValidPointer(coloring,2);
6807 
6808   if (!mat->assembled) {
6809     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6810   }
6811   if (!mat->ops->setcoloring) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6812   ierr = (*mat->ops->setcoloring)(mat,coloring);CHKERRQ(ierr);
6813   PetscFunctionReturn(0);
6814 }
6815 
6816 #undef __FUNCT__
6817 #define __FUNCT__ "MatSetValuesAdifor"
6818 /*@
6819    MatSetValuesAdifor - Sets values computed with automatic differentiation into a matrix.
6820 
6821    Not Collective
6822 
6823    Input Parameters:
6824 +  mat - the matrix
6825 .  nl - leading dimension of v
6826 -  v - the values compute with ADIFOR
6827 
6828    Level: developer
6829 
6830    Notes:
6831      Must call MatSetColoring() before using this routine. Also this matrix must already
6832      have its nonzero pattern determined.
6833 
6834 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
6835           MatSetValues(), MatSetColoring()
6836 @*/
6837 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesAdifor(Mat mat,PetscInt nl,void *v)
6838 {
6839   PetscErrorCode ierr;
6840 
6841   PetscFunctionBegin;
6842   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6843   PetscValidType(mat,1);
6844   PetscValidPointer(v,3);
6845 
6846   if (!mat->assembled) {
6847     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6848   }
6849   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6850   if (!mat->ops->setvaluesadifor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6851   ierr = (*mat->ops->setvaluesadifor)(mat,nl,v);CHKERRQ(ierr);
6852   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6853   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6854   PetscFunctionReturn(0);
6855 }
6856 
6857 #undef __FUNCT__
6858 #define __FUNCT__ "MatDiagonalScaleLocal"
6859 /*@
6860    MatDiagonalScaleLocal - Scales columns of a matrix given the scaling values including the
6861          ghosted ones.
6862 
6863    Not Collective
6864 
6865    Input Parameters:
6866 +  mat - the matrix
6867 -  diag = the diagonal values, including ghost ones
6868 
6869    Level: developer
6870 
6871    Notes: Works only for MPIAIJ and MPIBAIJ matrices
6872 
6873 .seealso: MatDiagonalScale()
6874 @*/
6875 PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalScaleLocal(Mat mat,Vec diag)
6876 {
6877   PetscErrorCode ierr;
6878   PetscMPIInt    size;
6879 
6880   PetscFunctionBegin;
6881   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6882   PetscValidHeaderSpecific(diag,VEC_COOKIE,2);
6883   PetscValidType(mat,1);
6884 
6885   if (!mat->assembled) {
6886     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6887   }
6888   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
6889   ierr = MPI_Comm_size(((PetscObject)mat)->comm,&size);CHKERRQ(ierr);
6890   if (size == 1) {
6891     PetscInt n,m;
6892     ierr = VecGetSize(diag,&n);CHKERRQ(ierr);
6893     ierr = MatGetSize(mat,0,&m);CHKERRQ(ierr);
6894     if (m == n) {
6895       ierr = MatDiagonalScale(mat,0,diag);CHKERRQ(ierr);
6896     } else {
6897       SETERRQ(PETSC_ERR_SUP,"Only supported for sequential matrices when no ghost points/periodic conditions");
6898     }
6899   } else {
6900     PetscErrorCode (*f)(Mat,Vec);
6901     ierr = PetscObjectQueryFunction((PetscObject)mat,"MatDiagonalScaleLocal_C",(void (**)(void))&f);CHKERRQ(ierr);
6902     if (f) {
6903       ierr = (*f)(mat,diag);CHKERRQ(ierr);
6904     } else {
6905       SETERRQ(PETSC_ERR_SUP,"Only supported for MPIAIJ and MPIBAIJ parallel matrices");
6906     }
6907   }
6908   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
6909   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6910   PetscFunctionReturn(0);
6911 }
6912 
6913 #undef __FUNCT__
6914 #define __FUNCT__ "MatGetInertia"
6915 /*@
6916    MatGetInertia - Gets the inertia from a factored matrix
6917 
6918    Collective on Mat
6919 
6920    Input Parameter:
6921 .  mat - the matrix
6922 
6923    Output Parameters:
6924 +   nneg - number of negative eigenvalues
6925 .   nzero - number of zero eigenvalues
6926 -   npos - number of positive eigenvalues
6927 
6928    Level: advanced
6929 
6930    Notes: Matrix must have been factored by MatCholeskyFactor()
6931 
6932 
6933 @*/
6934 PetscErrorCode PETSCMAT_DLLEXPORT MatGetInertia(Mat mat,PetscInt *nneg,PetscInt *nzero,PetscInt *npos)
6935 {
6936   PetscErrorCode ierr;
6937 
6938   PetscFunctionBegin;
6939   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6940   PetscValidType(mat,1);
6941   if (!mat->factor)    SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
6942   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Numeric factor mat is not assembled");
6943   if (!mat->ops->getinertia) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6944   ierr = (*mat->ops->getinertia)(mat,nneg,nzero,npos);CHKERRQ(ierr);
6945   PetscFunctionReturn(0);
6946 }
6947 
6948 /* ----------------------------------------------------------------*/
6949 #undef __FUNCT__
6950 #define __FUNCT__ "MatSolves"
6951 /*@C
6952    MatSolves - Solves A x = b, given a factored matrix, for a collection of vectors
6953 
6954    Collective on Mat and Vecs
6955 
6956    Input Parameters:
6957 +  mat - the factored matrix
6958 -  b - the right-hand-side vectors
6959 
6960    Output Parameter:
6961 .  x - the result vectors
6962 
6963    Notes:
6964    The vectors b and x cannot be the same.  I.e., one cannot
6965    call MatSolves(A,x,x).
6966 
6967    Notes:
6968    Most users should employ the simplified KSP interface for linear solvers
6969    instead of working directly with matrix algebra routines such as this.
6970    See, e.g., KSPCreate().
6971 
6972    Level: developer
6973 
6974    Concepts: matrices^triangular solves
6975 
6976 .seealso: MatSolveAdd(), MatSolveTranspose(), MatSolveTransposeAdd(), MatSolve()
6977 @*/
6978 PetscErrorCode PETSCMAT_DLLEXPORT MatSolves(Mat mat,Vecs b,Vecs x)
6979 {
6980   PetscErrorCode ierr;
6981 
6982   PetscFunctionBegin;
6983   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6984   PetscValidType(mat,1);
6985   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
6986   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
6987   if (!mat->rmap->N && !mat->cmap->N) PetscFunctionReturn(0);
6988 
6989   if (!mat->ops->solves) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6990   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6991   ierr = PetscLogEventBegin(MAT_Solves,mat,0,0,0);CHKERRQ(ierr);
6992   ierr = (*mat->ops->solves)(mat,b,x);CHKERRQ(ierr);
6993   ierr = PetscLogEventEnd(MAT_Solves,mat,0,0,0);CHKERRQ(ierr);
6994   PetscFunctionReturn(0);
6995 }
6996 
6997 #undef __FUNCT__
6998 #define __FUNCT__ "MatIsSymmetric"
6999 /*@
7000    MatIsSymmetric - Test whether a matrix is symmetric
7001 
7002    Collective on Mat
7003 
7004    Input Parameter:
7005 +  A - the matrix to test
7006 -  tol - difference between value and its transpose less than this amount counts as equal (use 0.0 for exact transpose)
7007 
7008    Output Parameters:
7009 .  flg - the result
7010 
7011    Level: intermediate
7012 
7013    Concepts: matrix^symmetry
7014 
7015 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetricKnown()
7016 @*/
7017 PetscErrorCode PETSCMAT_DLLEXPORT MatIsSymmetric(Mat A,PetscReal tol,PetscTruth *flg)
7018 {
7019   PetscErrorCode ierr;
7020 
7021   PetscFunctionBegin;
7022   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7023   PetscValidPointer(flg,2);
7024   if (!A->symmetric_set) {
7025     if (!A->ops->issymmetric) {
7026       const MatType mattype;
7027       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
7028       SETERRQ1(PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for symmetric",mattype);
7029     }
7030     ierr = (*A->ops->issymmetric)(A,tol,&A->symmetric);CHKERRQ(ierr);
7031     A->symmetric_set = PETSC_TRUE;
7032     if (A->symmetric) {
7033       A->structurally_symmetric_set = PETSC_TRUE;
7034       A->structurally_symmetric     = PETSC_TRUE;
7035     }
7036   }
7037   *flg = A->symmetric;
7038   PetscFunctionReturn(0);
7039 }
7040 
7041 #undef __FUNCT__
7042 #define __FUNCT__ "MatIsHermitian"
7043 /*@
7044    MatIsHermitian - Test whether a matrix is Hermitian
7045 
7046    Collective on Mat
7047 
7048    Input Parameter:
7049 +  A - the matrix to test
7050 -  tol - difference between value and its transpose less than this amount counts as equal (use 0.0 for exact Hermitian)
7051 
7052    Output Parameters:
7053 .  flg - the result
7054 
7055    Level: intermediate
7056 
7057    Concepts: matrix^symmetry
7058 
7059 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetricKnown()
7060 @*/
7061 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitian(Mat A,PetscReal tol,PetscTruth *flg)
7062 {
7063   PetscErrorCode ierr;
7064 
7065   PetscFunctionBegin;
7066   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7067   PetscValidPointer(flg,2);
7068   if (!A->hermitian_set) {
7069     if (!A->ops->ishermitian) {
7070       const MatType mattype;
7071       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
7072       SETERRQ1(PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for Hermitian",mattype);
7073     }
7074     ierr = (*A->ops->ishermitian)(A,tol,&A->hermitian);CHKERRQ(ierr);
7075     A->hermitian_set = PETSC_TRUE;
7076     if (A->hermitian) {
7077       A->structurally_symmetric_set = PETSC_TRUE;
7078       A->structurally_symmetric     = PETSC_TRUE;
7079     }
7080   }
7081   *flg = A->hermitian;
7082   PetscFunctionReturn(0);
7083 }
7084 
7085 #undef __FUNCT__
7086 #define __FUNCT__ "MatIsSymmetricKnown"
7087 /*@
7088    MatIsSymmetricKnown - Checks the flag on the matrix to see if it is symmetric.
7089 
7090    Collective on Mat
7091 
7092    Input Parameter:
7093 .  A - the matrix to check
7094 
7095    Output Parameters:
7096 +  set - if the symmetric flag is set (this tells you if the next flag is valid)
7097 -  flg - the result
7098 
7099    Level: advanced
7100 
7101    Concepts: matrix^symmetry
7102 
7103    Note: Does not check the matrix values directly, so this may return unknown (set = PETSC_FALSE). Use MatIsSymmetric()
7104          if you want it explicitly checked
7105 
7106 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetric()
7107 @*/
7108 PetscErrorCode PETSCMAT_DLLEXPORT MatIsSymmetricKnown(Mat A,PetscTruth *set,PetscTruth *flg)
7109 {
7110   PetscFunctionBegin;
7111   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7112   PetscValidPointer(set,2);
7113   PetscValidPointer(flg,3);
7114   if (A->symmetric_set) {
7115     *set = PETSC_TRUE;
7116     *flg = A->symmetric;
7117   } else {
7118     *set = PETSC_FALSE;
7119   }
7120   PetscFunctionReturn(0);
7121 }
7122 
7123 #undef __FUNCT__
7124 #define __FUNCT__ "MatIsHermitianKnown"
7125 /*@
7126    MatIsHermitianKnown - Checks the flag on the matrix to see if it is hermitian.
7127 
7128    Collective on Mat
7129 
7130    Input Parameter:
7131 .  A - the matrix to check
7132 
7133    Output Parameters:
7134 +  set - if the hermitian flag is set (this tells you if the next flag is valid)
7135 -  flg - the result
7136 
7137    Level: advanced
7138 
7139    Concepts: matrix^symmetry
7140 
7141    Note: Does not check the matrix values directly, so this may return unknown (set = PETSC_FALSE). Use MatIsHermitian()
7142          if you want it explicitly checked
7143 
7144 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetric()
7145 @*/
7146 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitianKnown(Mat A,PetscTruth *set,PetscTruth *flg)
7147 {
7148   PetscFunctionBegin;
7149   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7150   PetscValidPointer(set,2);
7151   PetscValidPointer(flg,3);
7152   if (A->hermitian_set) {
7153     *set = PETSC_TRUE;
7154     *flg = A->hermitian;
7155   } else {
7156     *set = PETSC_FALSE;
7157   }
7158   PetscFunctionReturn(0);
7159 }
7160 
7161 #undef __FUNCT__
7162 #define __FUNCT__ "MatIsStructurallySymmetric"
7163 /*@
7164    MatIsStructurallySymmetric - Test whether a matrix is structurally symmetric
7165 
7166    Collective on Mat
7167 
7168    Input Parameter:
7169 .  A - the matrix to test
7170 
7171    Output Parameters:
7172 .  flg - the result
7173 
7174    Level: intermediate
7175 
7176    Concepts: matrix^symmetry
7177 
7178 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsSymmetric(), MatSetOption()
7179 @*/
7180 PetscErrorCode PETSCMAT_DLLEXPORT MatIsStructurallySymmetric(Mat A,PetscTruth *flg)
7181 {
7182   PetscErrorCode ierr;
7183 
7184   PetscFunctionBegin;
7185   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7186   PetscValidPointer(flg,2);
7187   if (!A->structurally_symmetric_set) {
7188     if (!A->ops->isstructurallysymmetric) SETERRQ(PETSC_ERR_SUP,"Matrix does not support checking for structural symmetric");
7189     ierr = (*A->ops->isstructurallysymmetric)(A,&A->structurally_symmetric);CHKERRQ(ierr);
7190     A->structurally_symmetric_set = PETSC_TRUE;
7191   }
7192   *flg = A->structurally_symmetric;
7193   PetscFunctionReturn(0);
7194 }
7195 
7196 #undef __FUNCT__
7197 #define __FUNCT__ "MatStashGetInfo"
7198 extern PetscErrorCode MatStashGetInfo_Private(MatStash*,PetscInt*,PetscInt*);
7199 /*@
7200    MatStashGetInfo - Gets how many values are currently in the vector stash, i.e. need
7201        to be communicated to other processors during the MatAssemblyBegin/End() process
7202 
7203     Not collective
7204 
7205    Input Parameter:
7206 .   vec - the vector
7207 
7208    Output Parameters:
7209 +   nstash   - the size of the stash
7210 .   reallocs - the number of additional mallocs incurred.
7211 .   bnstash   - the size of the block stash
7212 -   breallocs - the number of additional mallocs incurred.in the block stash
7213 
7214    Level: advanced
7215 
7216 .seealso: MatAssemblyBegin(), MatAssemblyEnd(), Mat, MatStashSetInitialSize()
7217 
7218 @*/
7219 PetscErrorCode PETSCMAT_DLLEXPORT MatStashGetInfo(Mat mat,PetscInt *nstash,PetscInt *reallocs,PetscInt *bnstash,PetscInt *breallocs)
7220 {
7221   PetscErrorCode ierr;
7222   PetscFunctionBegin;
7223   ierr = MatStashGetInfo_Private(&mat->stash,nstash,reallocs);CHKERRQ(ierr);
7224   ierr = MatStashGetInfo_Private(&mat->bstash,bnstash,breallocs);CHKERRQ(ierr);
7225   PetscFunctionReturn(0);
7226 }
7227 
7228 #undef __FUNCT__
7229 #define __FUNCT__ "MatGetVecs"
7230 /*@C
7231    MatGetVecs - Get vector(s) compatible with the matrix, i.e. with the same
7232      parallel layout
7233 
7234    Collective on Mat
7235 
7236    Input Parameter:
7237 .  mat - the matrix
7238 
7239    Output Parameter:
7240 +   right - (optional) vector that the matrix can be multiplied against
7241 -   left - (optional) vector that the matrix vector product can be stored in
7242 
7243   Level: advanced
7244 
7245 .seealso: MatCreate()
7246 @*/
7247 PetscErrorCode PETSCMAT_DLLEXPORT MatGetVecs(Mat mat,Vec *right,Vec *left)
7248 {
7249   PetscErrorCode ierr;
7250 
7251   PetscFunctionBegin;
7252   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
7253   PetscValidType(mat,1);
7254   ierr = MatPreallocated(mat);CHKERRQ(ierr);
7255   if (mat->ops->getvecs) {
7256     ierr = (*mat->ops->getvecs)(mat,right,left);CHKERRQ(ierr);
7257   } else {
7258     PetscMPIInt size;
7259     ierr = MPI_Comm_size(((PetscObject)mat)->comm, &size);CHKERRQ(ierr);
7260     if (right) {
7261       ierr = VecCreate(((PetscObject)mat)->comm,right);CHKERRQ(ierr);
7262       ierr = VecSetSizes(*right,mat->cmap->n,PETSC_DETERMINE);CHKERRQ(ierr);
7263       ierr = VecSetBlockSize(*right,mat->rmap->bs);CHKERRQ(ierr);
7264       if (size > 1) {
7265         /* New vectors uses Mat cmap and does not create a new one */
7266 	ierr = PetscMapDestroy((*right)->map);CHKERRQ(ierr);
7267 	(*right)->map = mat->cmap;
7268 	mat->cmap->refcnt++;
7269 
7270         ierr = VecSetType(*right,VECMPI);CHKERRQ(ierr);
7271       } else {ierr = VecSetType(*right,VECSEQ);CHKERRQ(ierr);}
7272     }
7273     if (left) {
7274       ierr = VecCreate(((PetscObject)mat)->comm,left);CHKERRQ(ierr);
7275       ierr = VecSetSizes(*left,mat->rmap->n,PETSC_DETERMINE);CHKERRQ(ierr);
7276       ierr = VecSetBlockSize(*left,mat->rmap->bs);CHKERRQ(ierr);
7277       if (size > 1) {
7278         /* New vectors uses Mat rmap and does not create a new one */
7279 	ierr = PetscMapDestroy((*left)->map);CHKERRQ(ierr);
7280 	(*left)->map = mat->rmap;
7281 	mat->rmap->refcnt++;
7282 
7283         ierr = VecSetType(*left,VECMPI);CHKERRQ(ierr);
7284       } else {ierr = VecSetType(*left,VECSEQ);CHKERRQ(ierr);}
7285     }
7286   }
7287   if (mat->mapping) {
7288     if (right) {ierr = VecSetLocalToGlobalMapping(*right,mat->mapping);CHKERRQ(ierr);}
7289     if (left) {ierr = VecSetLocalToGlobalMapping(*left,mat->mapping);CHKERRQ(ierr);}
7290   }
7291   if (mat->bmapping) {
7292     if (right) {ierr = VecSetLocalToGlobalMappingBlock(*right,mat->bmapping);CHKERRQ(ierr);}
7293     if (left) {ierr = VecSetLocalToGlobalMappingBlock(*left,mat->bmapping);CHKERRQ(ierr);}
7294   }
7295   PetscFunctionReturn(0);
7296 }
7297 
7298 #undef __FUNCT__
7299 #define __FUNCT__ "MatFactorInfoInitialize"
7300 /*@C
7301    MatFactorInfoInitialize - Initializes a MatFactorInfo data structure
7302      with default values.
7303 
7304    Not Collective
7305 
7306    Input Parameters:
7307 .    info - the MatFactorInfo data structure
7308 
7309 
7310    Notes: The solvers are generally used through the KSP and PC objects, for example
7311           PCLU, PCILU, PCCHOLESKY, PCICC
7312 
7313    Level: developer
7314 
7315 .seealso: MatFactorInfo
7316 
7317     Developer Note: fortran interface is not autogenerated as the f90
7318     interface defintion cannot be generated correctly [due to MatFactorInfo]
7319 
7320 @*/
7321 
7322 PetscErrorCode PETSCMAT_DLLEXPORT MatFactorInfoInitialize(MatFactorInfo *info)
7323 {
7324   PetscErrorCode ierr;
7325 
7326   PetscFunctionBegin;
7327   ierr = PetscMemzero(info,sizeof(MatFactorInfo));CHKERRQ(ierr);
7328   PetscFunctionReturn(0);
7329 }
7330 
7331 #undef __FUNCT__
7332 #define __FUNCT__ "MatPtAP"
7333 /*@
7334    MatPtAP - Creates the matrix projection C = P^T * A * P
7335 
7336    Collective on Mat
7337 
7338    Input Parameters:
7339 +  A - the matrix
7340 .  P - the projection matrix
7341 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7342 -  fill - expected fill as ratio of nnz(C)/nnz(A)
7343 
7344    Output Parameters:
7345 .  C - 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 AIJ matrices and classes
7351    which inherit from AIJ.
7352 
7353    Level: intermediate
7354 
7355 .seealso: MatPtAPSymbolic(), MatPtAPNumeric(), MatMatMult()
7356 @*/
7357 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAP(Mat A,Mat P,MatReuse scall,PetscReal fill,Mat *C)
7358 {
7359   PetscErrorCode ierr;
7360 
7361   PetscFunctionBegin;
7362   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7363   PetscValidType(A,1);
7364   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7365   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7366   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
7367   PetscValidType(P,2);
7368   ierr = MatPreallocated(P);CHKERRQ(ierr);
7369   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7370   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7371   PetscValidPointer(C,3);
7372   if (P->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
7373   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be >= 1.0",fill);
7374   ierr = MatPreallocated(A);CHKERRQ(ierr);
7375 
7376   ierr = PetscLogEventBegin(MAT_PtAP,A,P,0,0);CHKERRQ(ierr);
7377   ierr = (*A->ops->ptap)(A,P,scall,fill,C);CHKERRQ(ierr);
7378   ierr = PetscLogEventEnd(MAT_PtAP,A,P,0,0);CHKERRQ(ierr);
7379 
7380   PetscFunctionReturn(0);
7381 }
7382 
7383 #undef __FUNCT__
7384 #define __FUNCT__ "MatPtAPNumeric"
7385 /*@
7386    MatPtAPNumeric - Computes the matrix projection C = P^T * A * P
7387 
7388    Collective on Mat
7389 
7390    Input Parameters:
7391 +  A - the matrix
7392 -  P - the projection matrix
7393 
7394    Output Parameters:
7395 .  C - the product matrix
7396 
7397    Notes:
7398    C must have been created by calling MatPtAPSymbolic and must be destroyed by
7399    the user using MatDeatroy().
7400 
7401    This routine is currently only implemented for pairs of AIJ matrices and classes
7402    which inherit from AIJ.  C will be of type MATAIJ.
7403 
7404    Level: intermediate
7405 
7406 .seealso: MatPtAP(), MatPtAPSymbolic(), MatMatMultNumeric()
7407 @*/
7408 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAPNumeric(Mat A,Mat P,Mat C)
7409 {
7410   PetscErrorCode ierr;
7411 
7412   PetscFunctionBegin;
7413   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7414   PetscValidType(A,1);
7415   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7416   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7417   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
7418   PetscValidType(P,2);
7419   ierr = MatPreallocated(P);CHKERRQ(ierr);
7420   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7421   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7422   PetscValidHeaderSpecific(C,MAT_COOKIE,3);
7423   PetscValidType(C,3);
7424   ierr = MatPreallocated(C);CHKERRQ(ierr);
7425   if (C->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7426   if (P->cmap->N!=C->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->cmap->N,C->rmap->N);
7427   if (P->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
7428   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);
7429   if (P->cmap->N!=C->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->cmap->N,C->cmap->N);
7430   ierr = MatPreallocated(A);CHKERRQ(ierr);
7431 
7432   ierr = PetscLogEventBegin(MAT_PtAPNumeric,A,P,0,0);CHKERRQ(ierr);
7433   ierr = (*A->ops->ptapnumeric)(A,P,C);CHKERRQ(ierr);
7434   ierr = PetscLogEventEnd(MAT_PtAPNumeric,A,P,0,0);CHKERRQ(ierr);
7435   PetscFunctionReturn(0);
7436 }
7437 
7438 #undef __FUNCT__
7439 #define __FUNCT__ "MatPtAPSymbolic"
7440 /*@
7441    MatPtAPSymbolic - Creates the (i,j) structure of the matrix projection C = P^T * A * P
7442 
7443    Collective on Mat
7444 
7445    Input Parameters:
7446 +  A - the matrix
7447 -  P - the projection matrix
7448 
7449    Output Parameters:
7450 .  C - the (i,j) structure of the product matrix
7451 
7452    Notes:
7453    C will be created and must be destroyed by the user with MatDestroy().
7454 
7455    This routine is currently only implemented for pairs of SeqAIJ matrices and classes
7456    which inherit from SeqAIJ.  C will be of type MATSEQAIJ.  The product is computed using
7457    this (i,j) structure by calling MatPtAPNumeric().
7458 
7459    Level: intermediate
7460 
7461 .seealso: MatPtAP(), MatPtAPNumeric(), MatMatMultSymbolic()
7462 @*/
7463 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAPSymbolic(Mat A,Mat P,PetscReal fill,Mat *C)
7464 {
7465   PetscErrorCode ierr;
7466 
7467   PetscFunctionBegin;
7468   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7469   PetscValidType(A,1);
7470   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7471   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7472   if (fill <1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be >= 1.0",fill);
7473   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
7474   PetscValidType(P,2);
7475   ierr = MatPreallocated(P);CHKERRQ(ierr);
7476   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7477   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7478   PetscValidPointer(C,3);
7479 
7480   if (P->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
7481   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);
7482   ierr = MatPreallocated(A);CHKERRQ(ierr);
7483   ierr = PetscLogEventBegin(MAT_PtAPSymbolic,A,P,0,0);CHKERRQ(ierr);
7484   ierr = (*A->ops->ptapsymbolic)(A,P,fill,C);CHKERRQ(ierr);
7485   ierr = PetscLogEventEnd(MAT_PtAPSymbolic,A,P,0,0);CHKERRQ(ierr);
7486 
7487   ierr = MatSetBlockSize(*C,A->rmap->bs);CHKERRQ(ierr);
7488 
7489   PetscFunctionReturn(0);
7490 }
7491 
7492 #undef __FUNCT__
7493 #define __FUNCT__ "MatMatMult"
7494 /*@
7495    MatMatMult - Performs Matrix-Matrix Multiplication C=A*B.
7496 
7497    Collective on Mat
7498 
7499    Input Parameters:
7500 +  A - the left matrix
7501 .  B - the right matrix
7502 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7503 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if you do not have a good estimate
7504           if the result is a dense matrix this is irrelevent
7505 
7506    Output Parameters:
7507 .  C - the product matrix
7508 
7509    Notes:
7510    Unless scall is MAT_REUSE_MATRIX C will be created.
7511 
7512    MAT_REUSE_MATRIX can only be used if the matrices A and B have the same nonzero pattern as in the previous call
7513 
7514    To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
7515    actually needed.
7516 
7517    If you have many matrices with the same non-zero structure to multiply, you
7518    should either
7519 $   1) use MAT_REUSE_MATRIX in all calls but the first or
7520 $   2) call MatMatMultSymbolic() once and then MatMatMultNumeric() for each product needed
7521 
7522    Level: intermediate
7523 
7524 .seealso: MatMatMultSymbolic(), MatMatMultNumeric(), MatPtAP()
7525 @*/
7526 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMult(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
7527 {
7528   PetscErrorCode ierr;
7529   PetscErrorCode (*fA)(Mat,Mat,MatReuse,PetscReal,Mat*);
7530   PetscErrorCode (*fB)(Mat,Mat,MatReuse,PetscReal,Mat*);
7531   PetscErrorCode (*mult)(Mat,Mat,MatReuse,PetscReal,Mat *)=PETSC_NULL;
7532 
7533   PetscFunctionBegin;
7534   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7535   PetscValidType(A,1);
7536   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7537   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7538   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7539   PetscValidType(B,2);
7540   ierr = MatPreallocated(B);CHKERRQ(ierr);
7541   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7542   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7543   PetscValidPointer(C,3);
7544   if (B->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
7545   if (scall == MAT_REUSE_MATRIX){
7546     PetscValidPointer(*C,5);
7547     PetscValidHeaderSpecific(*C,MAT_COOKIE,5);
7548   }
7549   if (fill == PETSC_DEFAULT || fill == PETSC_DECIDE) fill = 2.0;
7550   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be >= 1.0",fill);
7551   ierr = MatPreallocated(A);CHKERRQ(ierr);
7552 
7553   fA = A->ops->matmult;
7554   fB = B->ops->matmult;
7555   if (fB == fA) {
7556     if (!fB) SETERRQ1(PETSC_ERR_SUP,"MatMatMult not supported for B of type %s",((PetscObject)B)->type_name);
7557     mult = fB;
7558   } else {
7559     /* dispatch based on the type of A and B */
7560     char  multname[256];
7561     ierr = PetscStrcpy(multname,"MatMatMult_");CHKERRQ(ierr);
7562     ierr = PetscStrcat(multname,((PetscObject)A)->type_name);CHKERRQ(ierr);
7563     ierr = PetscStrcat(multname,"_");CHKERRQ(ierr);
7564     ierr = PetscStrcat(multname,((PetscObject)B)->type_name);CHKERRQ(ierr);
7565     ierr = PetscStrcat(multname,"_C");CHKERRQ(ierr); /* e.g., multname = "MatMatMult_seqdense_seqaij_C" */
7566     ierr = PetscObjectQueryFunction((PetscObject)B,multname,(void (**)(void))&mult);CHKERRQ(ierr);
7567     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);
7568   }
7569   ierr = PetscLogEventBegin(MAT_MatMult,A,B,0,0);CHKERRQ(ierr);
7570   ierr = (*mult)(A,B,scall,fill,C);CHKERRQ(ierr);
7571   ierr = PetscLogEventEnd(MAT_MatMult,A,B,0,0);CHKERRQ(ierr);
7572   PetscFunctionReturn(0);
7573 }
7574 
7575 #undef __FUNCT__
7576 #define __FUNCT__ "MatMatMultSymbolic"
7577 /*@
7578    MatMatMultSymbolic - Performs construction, preallocation, and computes the ij structure
7579    of the matrix-matrix product C=A*B.  Call this routine before calling MatMatMultNumeric().
7580 
7581    Collective on Mat
7582 
7583    Input Parameters:
7584 +  A - the left matrix
7585 .  B - the right matrix
7586 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if you do not have a good estimate,
7587       if C is a dense matrix this is irrelevent
7588 
7589    Output Parameters:
7590 .  C - the product matrix
7591 
7592    Notes:
7593    Unless scall is MAT_REUSE_MATRIX C will be created.
7594 
7595    To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
7596    actually needed.
7597 
7598    This routine is currently implemented for
7599     - pairs of AIJ matrices and classes which inherit from AIJ, C will be of type AIJ
7600     - pairs of AIJ (A) and Dense (B) matrix, C will be of type Dense.
7601     - pairs of Dense (A) and AIJ (B) matrix, C will be of type Dense.
7602 
7603    Level: intermediate
7604 
7605 .seealso: MatMatMult(), MatMatMultNumeric()
7606 @*/
7607 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultSymbolic(Mat A,Mat B,PetscReal fill,Mat *C)
7608 {
7609   PetscErrorCode ierr;
7610   PetscErrorCode (*Asymbolic)(Mat,Mat,PetscReal,Mat *);
7611   PetscErrorCode (*Bsymbolic)(Mat,Mat,PetscReal,Mat *);
7612   PetscErrorCode (*symbolic)(Mat,Mat,PetscReal,Mat *)=PETSC_NULL;
7613 
7614   PetscFunctionBegin;
7615   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7616   PetscValidType(A,1);
7617   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7618   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7619 
7620   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7621   PetscValidType(B,2);
7622   ierr = MatPreallocated(B);CHKERRQ(ierr);
7623   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7624   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7625   PetscValidPointer(C,3);
7626 
7627   if (B->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
7628   if (fill == PETSC_DEFAULT) fill = 2.0;
7629   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be > 1.0",fill);
7630   ierr = MatPreallocated(A);CHKERRQ(ierr);
7631 
7632   Asymbolic = A->ops->matmultsymbolic;
7633   Bsymbolic = B->ops->matmultsymbolic;
7634   if (Asymbolic == Bsymbolic){
7635     if (!Bsymbolic) SETERRQ1(PETSC_ERR_SUP,"C=A*B not implemented for B of type %s",((PetscObject)B)->type_name);
7636     symbolic = Bsymbolic;
7637   } else { /* dispatch based on the type of A and B */
7638     char  symbolicname[256];
7639     ierr = PetscStrcpy(symbolicname,"MatMatMultSymbolic_");CHKERRQ(ierr);
7640     ierr = PetscStrcat(symbolicname,((PetscObject)A)->type_name);CHKERRQ(ierr);
7641     ierr = PetscStrcat(symbolicname,"_");CHKERRQ(ierr);
7642     ierr = PetscStrcat(symbolicname,((PetscObject)B)->type_name);CHKERRQ(ierr);
7643     ierr = PetscStrcat(symbolicname,"_C");CHKERRQ(ierr);
7644     ierr = PetscObjectQueryFunction((PetscObject)B,symbolicname,(void (**)(void))&symbolic);CHKERRQ(ierr);
7645     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);
7646   }
7647   ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
7648   ierr = (*symbolic)(A,B,fill,C);CHKERRQ(ierr);
7649   ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
7650   PetscFunctionReturn(0);
7651 }
7652 
7653 #undef __FUNCT__
7654 #define __FUNCT__ "MatMatMultNumeric"
7655 /*@
7656    MatMatMultNumeric - Performs the numeric matrix-matrix product.
7657    Call this routine after first calling MatMatMultSymbolic().
7658 
7659    Collective on Mat
7660 
7661    Input Parameters:
7662 +  A - the left matrix
7663 -  B - the right matrix
7664 
7665    Output Parameters:
7666 .  C - the product matrix, which was created by from MatMatMultSymbolic() or a call to MatMatMult().
7667 
7668    Notes:
7669    C must have been created with MatMatMultSymbolic().
7670 
7671    This routine is currently implemented for
7672     - pairs of AIJ matrices and classes which inherit from AIJ, C will be of type MATAIJ.
7673     - pairs of AIJ (A) and Dense (B) matrix, C will be of type Dense.
7674     - pairs of Dense (A) and AIJ (B) matrix, C will be of type Dense.
7675 
7676    Level: intermediate
7677 
7678 .seealso: MatMatMult(), MatMatMultSymbolic()
7679 @*/
7680 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultNumeric(Mat A,Mat B,Mat C)
7681 {
7682   PetscErrorCode ierr;
7683   PetscErrorCode (*Anumeric)(Mat,Mat,Mat);
7684   PetscErrorCode (*Bnumeric)(Mat,Mat,Mat);
7685   PetscErrorCode (*numeric)(Mat,Mat,Mat)=PETSC_NULL;
7686 
7687   PetscFunctionBegin;
7688   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7689   PetscValidType(A,1);
7690   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7691   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7692 
7693   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7694   PetscValidType(B,2);
7695   ierr = MatPreallocated(B);CHKERRQ(ierr);
7696   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7697   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7698 
7699   PetscValidHeaderSpecific(C,MAT_COOKIE,3);
7700   PetscValidType(C,3);
7701   ierr = MatPreallocated(C);CHKERRQ(ierr);
7702   if (!C->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7703   if (C->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7704 
7705   if (B->cmap->N!=C->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->cmap->N,C->cmap->N);
7706   if (B->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
7707   if (A->rmap->N!=C->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",A->rmap->N,C->rmap->N);
7708   ierr = MatPreallocated(A);CHKERRQ(ierr);
7709 
7710   Anumeric = A->ops->matmultnumeric;
7711   Bnumeric = B->ops->matmultnumeric;
7712   if (Anumeric == Bnumeric){
7713     if (!Bnumeric) SETERRQ1(PETSC_ERR_SUP,"MatMatMultNumeric not supported for B of type %s",((PetscObject)B)->type_name);
7714     numeric = Bnumeric;
7715   } else {
7716     char  numericname[256];
7717     ierr = PetscStrcpy(numericname,"MatMatMultNumeric_");CHKERRQ(ierr);
7718     ierr = PetscStrcat(numericname,((PetscObject)A)->type_name);CHKERRQ(ierr);
7719     ierr = PetscStrcat(numericname,"_");CHKERRQ(ierr);
7720     ierr = PetscStrcat(numericname,((PetscObject)B)->type_name);CHKERRQ(ierr);
7721     ierr = PetscStrcat(numericname,"_C");CHKERRQ(ierr);
7722     ierr = PetscObjectQueryFunction((PetscObject)B,numericname,(void (**)(void))&numeric);CHKERRQ(ierr);
7723     if (!numeric)
7724       SETERRQ2(PETSC_ERR_ARG_INCOMP,"MatMatMultNumeric requires A, %s, to be compatible with B, %s",((PetscObject)A)->type_name,((PetscObject)B)->type_name);
7725   }
7726   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
7727   ierr = (*numeric)(A,B,C);CHKERRQ(ierr);
7728   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
7729   PetscFunctionReturn(0);
7730 }
7731 
7732 #undef __FUNCT__
7733 #define __FUNCT__ "MatMatMultTranspose"
7734 /*@
7735    MatMatMultTranspose - Performs Matrix-Matrix Multiplication C=A^T*B.
7736 
7737    Collective on Mat
7738 
7739    Input Parameters:
7740 +  A - the left matrix
7741 .  B - the right matrix
7742 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7743 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if not known
7744 
7745    Output Parameters:
7746 .  C - the product matrix
7747 
7748    Notes:
7749    C will be created if MAT_INITIAL_MATRIX and must be destroyed by the user with MatDestroy().
7750 
7751    MAT_REUSE_MATRIX can only be used if the matrices A and B have the same nonzero pattern as in the previous call
7752 
7753   To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
7754    actually needed.
7755 
7756    This routine is currently only implemented for pairs of SeqAIJ matrices and pairs of SeqDense matrices and classes
7757    which inherit from SeqAIJ.  C will be of type MATSEQAIJ.
7758 
7759    Level: intermediate
7760 
7761 .seealso: MatMatMultTransposeSymbolic(), MatMatMultTransposeNumeric(), MatPtAP()
7762 @*/
7763 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultTranspose(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
7764 {
7765   PetscErrorCode ierr;
7766   PetscErrorCode (*fA)(Mat,Mat,MatReuse,PetscReal,Mat*);
7767   PetscErrorCode (*fB)(Mat,Mat,MatReuse,PetscReal,Mat*);
7768 
7769   PetscFunctionBegin;
7770   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7771   PetscValidType(A,1);
7772   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7773   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7774   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7775   PetscValidType(B,2);
7776   ierr = MatPreallocated(B);CHKERRQ(ierr);
7777   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7778   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7779   PetscValidPointer(C,3);
7780   if (B->rmap->N!=A->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->rmap->N);
7781   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be > 1.0",fill);
7782   ierr = MatPreallocated(A);CHKERRQ(ierr);
7783 
7784   fA = A->ops->matmulttranspose;
7785   if (!fA) SETERRQ1(PETSC_ERR_SUP,"MatMatMultTranspose not supported for A of type %s",((PetscObject)A)->type_name);
7786   fB = B->ops->matmulttranspose;
7787   if (!fB) SETERRQ1(PETSC_ERR_SUP,"MatMatMultTranspose not supported for B of type %s",((PetscObject)B)->type_name);
7788   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);
7789 
7790   ierr = PetscLogEventBegin(MAT_MatMultTranspose,A,B,0,0);CHKERRQ(ierr);
7791   ierr = (*A->ops->matmulttranspose)(A,B,scall,fill,C);CHKERRQ(ierr);
7792   ierr = PetscLogEventEnd(MAT_MatMultTranspose,A,B,0,0);CHKERRQ(ierr);
7793 
7794   PetscFunctionReturn(0);
7795 }
7796 
7797 #undef __FUNCT__
7798 #define __FUNCT__ "MatGetRedundantMatrix"
7799 /*@C
7800    MatGetRedundantMatrix - Create redundant matrices and put them into processors of subcommunicators.
7801 
7802    Collective on Mat
7803 
7804    Input Parameters:
7805 +  mat - the matrix
7806 .  nsubcomm - the number of subcommunicators (= number of redundant pareallel or sequential matrices)
7807 .  subcomm - MPI communicator split from the communicator where mat resides in
7808 .  mlocal_red - number of local rows of the redundant matrix
7809 -  reuse - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7810 
7811    Output Parameter:
7812 .  matredundant - redundant matrix
7813 
7814    Notes:
7815    MAT_REUSE_MATRIX can only be used when the nonzero structure of the
7816    original matrix has not changed from that last call to MatGetRedundantMatrix().
7817 
7818    This routine creates the duplicated matrices in subcommunicators; you should NOT create them before
7819    calling it.
7820 
7821    Only MPIAIJ matrix is supported.
7822 
7823    Level: advanced
7824 
7825    Concepts: subcommunicator
7826    Concepts: duplicate matrix
7827 
7828 .seealso: MatDestroy()
7829 @*/
7830 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRedundantMatrix(Mat mat,PetscInt nsubcomm,MPI_Comm subcomm,PetscInt mlocal_red,MatReuse reuse,Mat *matredundant)
7831 {
7832   PetscErrorCode ierr;
7833 
7834   PetscFunctionBegin;
7835   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
7836   if (nsubcomm && reuse == MAT_REUSE_MATRIX) {
7837     PetscValidPointer(*matredundant,6);
7838     PetscValidHeaderSpecific(*matredundant,MAT_COOKIE,6);
7839   }
7840   if (!mat->ops->getredundantmatrix) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
7841   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7842   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7843   ierr = MatPreallocated(mat);CHKERRQ(ierr);
7844 
7845   ierr = PetscLogEventBegin(MAT_GetRedundantMatrix,mat,0,0,0);CHKERRQ(ierr);
7846   ierr = (*mat->ops->getredundantmatrix)(mat,nsubcomm,subcomm,mlocal_red,reuse,matredundant);CHKERRQ(ierr);
7847   ierr = PetscLogEventEnd(MAT_GetRedundantMatrix,mat,0,0,0);CHKERRQ(ierr);
7848   PetscFunctionReturn(0);
7849 }
7850