xref: /petsc/src/mat/interface/matrix.c (revision 6370053bc0c1f65038ee36c4e24c73e5f9890c70)
1 #define PETSCMAT_DLL
2 
3 /*
4    This is where the abstract matrix operations are defined
5 */
6 
7 #include "private/matimpl.h"        /*I "petscmat.h" I*/
8 #include "private/vecimpl.h"
9 
10 /* Logging support */
11 PetscCookie PETSCMAT_DLLEXPORT MAT_COOKIE;
12 PetscCookie PETSCMAT_DLLEXPORT MAT_FDCOLORING_COOKIE;
13 
14 PetscLogEvent  MAT_Mult, MAT_Mults, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
15 PetscLogEvent  MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_Solves, MAT_SolveAdd, MAT_SolveTranspose, MAT_MatSolve;
16 PetscLogEvent  MAT_SolveTransposeAdd, MAT_SOR, MAT_ForwardSolve, MAT_BackwardSolve, MAT_LUFactor, MAT_LUFactorSymbolic;
17 PetscLogEvent  MAT_LUFactorNumeric, MAT_CholeskyFactor, MAT_CholeskyFactorSymbolic, MAT_CholeskyFactorNumeric, MAT_ILUFactor;
18 PetscLogEvent  MAT_ILUFactorSymbolic, MAT_ICCFactorSymbolic, MAT_Copy, MAT_Convert, MAT_Scale, MAT_AssemblyBegin;
19 PetscLogEvent  MAT_AssemblyEnd, MAT_SetValues, MAT_GetValues, MAT_GetRow, MAT_GetRowIJ, MAT_GetSubMatrices, MAT_GetColoring, MAT_GetOrdering, MAT_GetRedundantMatrix, MAT_GetSeqNonzeroStructure;
20 PetscLogEvent  MAT_IncreaseOverlap, MAT_Partitioning, MAT_ZeroEntries, MAT_Load, MAT_View, MAT_AXPY, MAT_FDColoringCreate;
21 PetscLogEvent  MAT_FDColoringApply,MAT_Transpose,MAT_FDColoringFunction;
22 PetscLogEvent  MAT_MatMult, MAT_MatMultSymbolic, MAT_MatMultNumeric;
23 PetscLogEvent  MAT_PtAP, MAT_PtAPSymbolic, MAT_PtAPNumeric;
24 PetscLogEvent  MAT_MatMultTranspose, MAT_MatMultTransposeSymbolic, MAT_MatMultTransposeNumeric;
25 PetscLogEvent  MAT_MultHermitianTranspose,MAT_MultHermitianTransposeAdd;
26 PetscLogEvent  MAT_Getsymtranspose, MAT_Getsymtransreduced, MAT_Transpose_SeqAIJ, MAT_GetBrowsOfAcols;
27 PetscLogEvent  MAT_GetBrowsOfAocols, MAT_Getlocalmat, MAT_Getlocalmatcondensed, MAT_Seqstompi, MAT_Seqstompinum, MAT_Seqstompisym;
28 PetscLogEvent  MAT_Applypapt, MAT_Applypapt_numeric, MAT_Applypapt_symbolic, MAT_GetSequentialNonzeroStructure;
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__ "MatGetTrace"
82 /*@
83    MatGetTrace - Gets the trace of a matrix. The sum of the diagonal entries.
84 
85    Collective on Mat
86 
87    Input Parameters:
88 .  mat - the matrix
89 
90    Output Parameter:
91 .   trace - the sum of the diagonal entries
92 
93    Level: advanced
94 
95 @*/
96 PetscErrorCode  MatGetTrace(Mat mat, PetscScalar * trace)
97 {
98    PetscErrorCode ierr;
99    PetscInt       ncols, nrows;
100    Vec            diag;
101 
102    PetscFunctionBegin;
103    ierr = MatGetSize(mat, &nrows, &ncols);CHKERRQ(ierr);
104    ierr = VecCreateSeq(PETSC_COMM_WORLD, ncols, &diag);CHKERRQ(ierr);
105    ierr = MatGetDiagonal(mat,diag);CHKERRQ(ierr);
106    ierr = VecSum(diag, trace);CHKERRQ(ierr);
107    ierr = VecDestroy(diag);CHKERRQ(ierr);
108    PetscFunctionReturn(0);
109 }
110 
111 #undef __FUNCT__
112 #define __FUNCT__ "MatRealPart"
113 /*@
114    MatRealPart - Zeros out the imaginary part of the matrix
115 
116    Collective on Mat
117 
118    Input Parameters:
119 .  mat - the matrix
120 
121    Level: advanced
122 
123 
124 .seealso: MatImaginaryPart()
125 @*/
126 PetscErrorCode PETSCMAT_DLLEXPORT MatRealPart(Mat mat)
127 {
128   PetscErrorCode ierr;
129 
130   PetscFunctionBegin;
131   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
132   PetscValidType(mat,1);
133   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
134   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
135   if (!mat->ops->realpart) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
136   ierr = MatPreallocated(mat);CHKERRQ(ierr);
137   ierr = (*mat->ops->realpart)(mat);CHKERRQ(ierr);
138   PetscFunctionReturn(0);
139 }
140 
141 #undef __FUNCT__
142 #define __FUNCT__ "MatGetGhosts"
143 /*@C
144    MatGetGhosts - Get the global index of all ghost nodes defined by the sparse matrix
145 
146    Collective on Mat
147 
148    Input Parameter:
149 .  mat - the matrix
150 
151    Output Parameters:
152 +   nghosts - number of ghosts (note for BAIJ matrices there is one ghost for each block)
153 -   ghosts - the global indices of the ghost points
154 
155    Notes: the nghosts and ghosts are suitable to pass into VecCreateGhost()
156 
157    Level: advanced
158 
159 @*/
160 PetscErrorCode PETSCMAT_DLLEXPORT MatGetGhosts(Mat mat,PetscInt *nghosts,const PetscInt *ghosts[])
161 {
162   PetscErrorCode ierr;
163 
164   PetscFunctionBegin;
165   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
166   PetscValidType(mat,1);
167   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
168   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
169   if (!mat->ops->getghosts) {
170     if (nghosts) *nghosts = 0;
171     if (ghosts) *ghosts = 0;
172   } else {
173     ierr = (*mat->ops->getghosts)(mat,nghosts,ghosts);CHKERRQ(ierr);
174   }
175   PetscFunctionReturn(0);
176 }
177 
178 
179 #undef __FUNCT__
180 #define __FUNCT__ "MatImaginaryPart"
181 /*@
182    MatImaginaryPart - Moves the imaginary part of the matrix to the real part and zeros the imaginary part
183 
184    Collective on Mat
185 
186    Input Parameters:
187 .  mat - the matrix
188 
189    Level: advanced
190 
191 
192 .seealso: MatRealPart()
193 @*/
194 PetscErrorCode PETSCMAT_DLLEXPORT MatImaginaryPart(Mat mat)
195 {
196   PetscErrorCode ierr;
197 
198   PetscFunctionBegin;
199   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
200   PetscValidType(mat,1);
201   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
202   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
203   if (!mat->ops->imaginarypart) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
204   ierr = MatPreallocated(mat);CHKERRQ(ierr);
205   ierr = (*mat->ops->imaginarypart)(mat);CHKERRQ(ierr);
206   PetscFunctionReturn(0);
207 }
208 
209 #undef __FUNCT__
210 #define __FUNCT__ "MatMissingDiagonal"
211 /*@
212    MatMissingDiagonal - Determine if sparse matrix is missing a diagonal entry (or block entry for BAIJ matrices)
213 
214    Collective on Mat
215 
216    Input Parameter:
217 .  mat - the matrix
218 
219    Output Parameters:
220 +  missing - is any diagonal missing
221 -  dd - first diagonal entry that is missing (optional)
222 
223    Level: advanced
224 
225 
226 .seealso: MatRealPart()
227 @*/
228 PetscErrorCode PETSCMAT_DLLEXPORT MatMissingDiagonal(Mat mat,PetscTruth *missing,PetscInt *dd)
229 {
230   PetscErrorCode ierr;
231 
232   PetscFunctionBegin;
233   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
234   PetscValidType(mat,1);
235   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
236   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
237   if (!mat->ops->missingdiagonal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
238   ierr = (*mat->ops->missingdiagonal)(mat,missing,dd);CHKERRQ(ierr);
239   PetscFunctionReturn(0);
240 }
241 
242 #undef __FUNCT__
243 #define __FUNCT__ "MatGetRow"
244 /*@C
245    MatGetRow - Gets a row of a matrix.  You MUST call MatRestoreRow()
246    for each row that you get to ensure that your application does
247    not bleed memory.
248 
249    Not Collective
250 
251    Input Parameters:
252 +  mat - the matrix
253 -  row - the row to get
254 
255    Output Parameters:
256 +  ncols -  if not NULL, the number of nonzeros in the row
257 .  cols - if not NULL, the column numbers
258 -  vals - if not NULL, the values
259 
260    Notes:
261    This routine is provided for people who need to have direct access
262    to the structure of a matrix.  We hope that we provide enough
263    high-level matrix routines that few users will need it.
264 
265    MatGetRow() always returns 0-based column indices, regardless of
266    whether the internal representation is 0-based (default) or 1-based.
267 
268    For better efficiency, set cols and/or vals to PETSC_NULL if you do
269    not wish to extract these quantities.
270 
271    The user can only examine the values extracted with MatGetRow();
272    the values cannot be altered.  To change the matrix entries, one
273    must use MatSetValues().
274 
275    You can only have one call to MatGetRow() outstanding for a particular
276    matrix at a time, per processor. MatGetRow() can only obtain rows
277    associated with the given processor, it cannot get rows from the
278    other processors; for that we suggest using MatGetSubMatrices(), then
279    MatGetRow() on the submatrix. The row indix passed to MatGetRows()
280    is in the global number of rows.
281 
282    Fortran Notes:
283    The calling sequence from Fortran is
284 .vb
285    MatGetRow(matrix,row,ncols,cols,values,ierr)
286          Mat     matrix (input)
287          integer row    (input)
288          integer ncols  (output)
289          integer cols(maxcols) (output)
290          double precision (or double complex) values(maxcols) output
291 .ve
292    where maxcols >= maximum nonzeros in any row of the matrix.
293 
294 
295    Caution:
296    Do not try to change the contents of the output arrays (cols and vals).
297    In some cases, this may corrupt the matrix.
298 
299    Level: advanced
300 
301    Concepts: matrices^row access
302 
303 .seealso: MatRestoreRow(), MatSetValues(), MatGetValues(), MatGetSubMatrices(), MatGetDiagonal()
304 @*/
305 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRow(Mat mat,PetscInt row,PetscInt *ncols,const PetscInt *cols[],const PetscScalar *vals[])
306 {
307   PetscErrorCode ierr;
308   PetscInt       incols;
309 
310   PetscFunctionBegin;
311   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
312   PetscValidType(mat,1);
313   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
314   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
315   if (!mat->ops->getrow) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
316   ierr = MatPreallocated(mat);CHKERRQ(ierr);
317   ierr = PetscLogEventBegin(MAT_GetRow,mat,0,0,0);CHKERRQ(ierr);
318   ierr = (*mat->ops->getrow)(mat,row,&incols,(PetscInt **)cols,(PetscScalar **)vals);CHKERRQ(ierr);
319   if (ncols) *ncols = incols;
320   ierr = PetscLogEventEnd(MAT_GetRow,mat,0,0,0);CHKERRQ(ierr);
321   PetscFunctionReturn(0);
322 }
323 
324 #undef __FUNCT__
325 #define __FUNCT__ "MatConjugate"
326 /*@
327    MatConjugate - replaces the matrix values with their complex conjugates
328 
329    Collective on Mat
330 
331    Input Parameters:
332 .  mat - the matrix
333 
334    Level: advanced
335 
336 .seealso:  VecConjugate()
337 @*/
338 PetscErrorCode PETSCMAT_DLLEXPORT MatConjugate(Mat mat)
339 {
340   PetscErrorCode ierr;
341 
342   PetscFunctionBegin;
343   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
344   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
345   if (!mat->ops->conjugate) SETERRQ(PETSC_ERR_SUP,"Not provided for this matrix format, send email to petsc-maint@mcs.anl.gov");
346   ierr = (*mat->ops->conjugate)(mat);CHKERRQ(ierr);
347   PetscFunctionReturn(0);
348 }
349 
350 #undef __FUNCT__
351 #define __FUNCT__ "MatRestoreRow"
352 /*@C
353    MatRestoreRow - Frees any temporary space allocated by MatGetRow().
354 
355    Not Collective
356 
357    Input Parameters:
358 +  mat - the matrix
359 .  row - the row to get
360 .  ncols, cols - the number of nonzeros and their columns
361 -  vals - if nonzero the column values
362 
363    Notes:
364    This routine should be called after you have finished examining the entries.
365 
366    Fortran Notes:
367    The calling sequence from Fortran is
368 .vb
369    MatRestoreRow(matrix,row,ncols,cols,values,ierr)
370       Mat     matrix (input)
371       integer row    (input)
372       integer ncols  (output)
373       integer cols(maxcols) (output)
374       double precision (or double complex) values(maxcols) output
375 .ve
376    Where maxcols >= maximum nonzeros in any row of the matrix.
377 
378    In Fortran MatRestoreRow() MUST be called after MatGetRow()
379    before another call to MatGetRow() can be made.
380 
381    Level: advanced
382 
383 .seealso:  MatGetRow()
384 @*/
385 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRow(Mat mat,PetscInt row,PetscInt *ncols,const PetscInt *cols[],const PetscScalar *vals[])
386 {
387   PetscErrorCode ierr;
388 
389   PetscFunctionBegin;
390   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
391   PetscValidIntPointer(ncols,3);
392   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
393   if (!mat->ops->restorerow) PetscFunctionReturn(0);
394   ierr = (*mat->ops->restorerow)(mat,row,ncols,(PetscInt **)cols,(PetscScalar **)vals);CHKERRQ(ierr);
395   PetscFunctionReturn(0);
396 }
397 
398 #undef __FUNCT__
399 #define __FUNCT__ "MatGetRowUpperTriangular"
400 /*@
401    MatGetRowUpperTriangular - Sets a flag to enable calls to MatGetRow() for matrix in MATSBAIJ format.
402    You should call MatRestoreRowUpperTriangular() after calling MatGetRow/MatRestoreRow() to disable the flag.
403 
404    Not Collective
405 
406    Input Parameters:
407 +  mat - the matrix
408 
409    Notes:
410    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.
411 
412    Level: advanced
413 
414    Concepts: matrices^row access
415 
416 .seealso: MatRestoreRowRowUpperTriangular()
417 @*/
418 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowUpperTriangular(Mat mat)
419 {
420   PetscErrorCode ierr;
421 
422   PetscFunctionBegin;
423   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
424   PetscValidType(mat,1);
425   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
426   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
427   if (!mat->ops->getrowuppertriangular) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
428   ierr = MatPreallocated(mat);CHKERRQ(ierr);
429   ierr = (*mat->ops->getrowuppertriangular)(mat);CHKERRQ(ierr);
430   PetscFunctionReturn(0);
431 }
432 
433 #undef __FUNCT__
434 #define __FUNCT__ "MatRestoreRowUpperTriangular"
435 /*@
436    MatRestoreRowUpperTriangular - Disable calls to MatGetRow() for matrix in MATSBAIJ format.
437 
438    Not Collective
439 
440    Input Parameters:
441 +  mat - the matrix
442 
443    Notes:
444    This routine should be called after you have finished MatGetRow/MatRestoreRow().
445 
446 
447    Level: advanced
448 
449 .seealso:  MatGetRowUpperTriangular()
450 @*/
451 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRowUpperTriangular(Mat mat)
452 {
453   PetscErrorCode ierr;
454 
455   PetscFunctionBegin;
456   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
457   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
458   if (!mat->ops->restorerowuppertriangular) PetscFunctionReturn(0);
459   ierr = (*mat->ops->restorerowuppertriangular)(mat);CHKERRQ(ierr);
460   PetscFunctionReturn(0);
461 }
462 
463 #undef __FUNCT__
464 #define __FUNCT__ "MatSetOptionsPrefix"
465 /*@C
466    MatSetOptionsPrefix - Sets the prefix used for searching for all
467    Mat options in the database.
468 
469    Collective on Mat
470 
471    Input Parameter:
472 +  A - the Mat context
473 -  prefix - the prefix to prepend to all option names
474 
475    Notes:
476    A hyphen (-) must NOT be given at the beginning of the prefix name.
477    The first character of all runtime options is AUTOMATICALLY the hyphen.
478 
479    Level: advanced
480 
481 .keywords: Mat, set, options, prefix, database
482 
483 .seealso: MatSetFromOptions()
484 @*/
485 PetscErrorCode PETSCMAT_DLLEXPORT MatSetOptionsPrefix(Mat A,const char prefix[])
486 {
487   PetscErrorCode ierr;
488 
489   PetscFunctionBegin;
490   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
491   ierr = PetscObjectSetOptionsPrefix((PetscObject)A,prefix);CHKERRQ(ierr);
492   PetscFunctionReturn(0);
493 }
494 
495 #undef __FUNCT__
496 #define __FUNCT__ "MatAppendOptionsPrefix"
497 /*@C
498    MatAppendOptionsPrefix - Appends to the prefix used for searching for all
499    Mat options in the database.
500 
501    Collective on Mat
502 
503    Input Parameters:
504 +  A - the Mat context
505 -  prefix - the prefix to prepend to all option names
506 
507    Notes:
508    A hyphen (-) must NOT be given at the beginning of the prefix name.
509    The first character of all runtime options is AUTOMATICALLY the hyphen.
510 
511    Level: advanced
512 
513 .keywords: Mat, append, options, prefix, database
514 
515 .seealso: MatGetOptionsPrefix()
516 @*/
517 PetscErrorCode PETSCMAT_DLLEXPORT MatAppendOptionsPrefix(Mat A,const char prefix[])
518 {
519   PetscErrorCode ierr;
520 
521   PetscFunctionBegin;
522   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
523   ierr = PetscObjectAppendOptionsPrefix((PetscObject)A,prefix);CHKERRQ(ierr);
524   PetscFunctionReturn(0);
525 }
526 
527 #undef __FUNCT__
528 #define __FUNCT__ "MatGetOptionsPrefix"
529 /*@C
530    MatGetOptionsPrefix - Sets the prefix used for searching for all
531    Mat options in the database.
532 
533    Not Collective
534 
535    Input Parameter:
536 .  A - the Mat context
537 
538    Output Parameter:
539 .  prefix - pointer to the prefix string used
540 
541    Notes: On the fortran side, the user should pass in a string 'prefix' of
542    sufficient length to hold the prefix.
543 
544    Level: advanced
545 
546 .keywords: Mat, get, options, prefix, database
547 
548 .seealso: MatAppendOptionsPrefix()
549 @*/
550 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOptionsPrefix(Mat A,const char *prefix[])
551 {
552   PetscErrorCode ierr;
553 
554   PetscFunctionBegin;
555   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
556   ierr = PetscObjectGetOptionsPrefix((PetscObject)A,prefix);CHKERRQ(ierr);
557   PetscFunctionReturn(0);
558 }
559 
560 #undef __FUNCT__
561 #define __FUNCT__ "MatSetUp"
562 /*@
563    MatSetUp - Sets up the internal matrix data structures for the later use.
564 
565    Collective on Mat
566 
567    Input Parameters:
568 .  A - the Mat context
569 
570    Notes:
571    For basic use of the Mat classes the user need not explicitly call
572    MatSetUp(), since these actions will happen automatically.
573 
574    Level: advanced
575 
576 .keywords: Mat, setup
577 
578 .seealso: MatCreate(), MatDestroy()
579 @*/
580 PetscErrorCode PETSCMAT_DLLEXPORT MatSetUp(Mat A)
581 {
582   PetscMPIInt    size;
583   PetscErrorCode ierr;
584 
585   PetscFunctionBegin;
586   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
587   if (!((PetscObject)A)->type_name) {
588     ierr = MPI_Comm_size(((PetscObject)A)->comm, &size);CHKERRQ(ierr);
589     if (size == 1) {
590       ierr = MatSetType(A, MATSEQAIJ);CHKERRQ(ierr);
591     } else {
592       ierr = MatSetType(A, MATMPIAIJ);CHKERRQ(ierr);
593     }
594   }
595   ierr = MatSetUpPreallocation(A);CHKERRQ(ierr);
596   PetscFunctionReturn(0);
597 }
598 
599 #undef __FUNCT__
600 #define __FUNCT__ "MatView"
601 /*@C
602    MatView - Visualizes a matrix object.
603 
604    Collective on Mat
605 
606    Input Parameters:
607 +  mat - the matrix
608 -  viewer - visualization context
609 
610   Notes:
611   The available visualization contexts include
612 +    PETSC_VIEWER_STDOUT_SELF - standard output (default)
613 .    PETSC_VIEWER_STDOUT_WORLD - synchronized standard
614         output where only the first processor opens
615         the file.  All other processors send their
616         data to the first processor to print.
617 -     PETSC_VIEWER_DRAW_WORLD - graphical display of nonzero structure
618 
619    The user can open alternative visualization contexts with
620 +    PetscViewerASCIIOpen() - Outputs matrix to a specified file
621 .    PetscViewerBinaryOpen() - Outputs matrix in binary to a
622          specified file; corresponding input uses MatLoad()
623 .    PetscViewerDrawOpen() - Outputs nonzero matrix structure to
624          an X window display
625 -    PetscViewerSocketOpen() - Outputs matrix to Socket viewer.
626          Currently only the sequential dense and AIJ
627          matrix types support the Socket viewer.
628 
629    The user can call PetscViewerSetFormat() to specify the output
630    format of ASCII printed objects (when using PETSC_VIEWER_STDOUT_SELF,
631    PETSC_VIEWER_STDOUT_WORLD and PetscViewerASCIIOpen).  Available formats include
632 +    PETSC_VIEWER_DEFAULT - default, prints matrix contents
633 .    PETSC_VIEWER_ASCII_MATLAB - prints matrix contents in Matlab format
634 .    PETSC_VIEWER_ASCII_DENSE - prints entire matrix including zeros
635 .    PETSC_VIEWER_ASCII_COMMON - prints matrix contents, using a sparse
636          format common among all matrix types
637 .    PETSC_VIEWER_ASCII_IMPL - prints matrix contents, using an implementation-specific
638          format (which is in many cases the same as the default)
639 .    PETSC_VIEWER_ASCII_INFO - prints basic information about the matrix
640          size and structure (not the matrix entries)
641 .    PETSC_VIEWER_ASCII_INFO_DETAIL - prints more detailed information about
642          the matrix structure
643 
644    Options Database Keys:
645 +  -mat_view_info - Prints info on matrix at conclusion of MatEndAssembly()
646 .  -mat_view_info_detailed - Prints more detailed info
647 .  -mat_view - Prints matrix in ASCII format
648 .  -mat_view_matlab - Prints matrix in Matlab format
649 .  -mat_view_draw - PetscDraws nonzero structure of matrix, using MatView() and PetscDrawOpenX().
650 .  -display <name> - Sets display name (default is host)
651 .  -draw_pause <sec> - Sets number of seconds to pause after display
652 .  -mat_view_socket - Sends matrix to socket, can be accessed from Matlab (see users manual)
653 .  -viewer_socket_machine <machine>
654 .  -viewer_socket_port <port>
655 .  -mat_view_binary - save matrix to file in binary format
656 -  -viewer_binary_filename <name>
657    Level: beginner
658 
659    Notes: see the manual page for MatLoad() for the exact format of the binary file when the binary
660       viewer is used.
661 
662       See bin/matlab/PetscBinaryRead.m for a Matlab code that can read in the binary file when the binary
663       viewer is used.
664 
665    Concepts: matrices^viewing
666    Concepts: matrices^plotting
667    Concepts: matrices^printing
668 
669 .seealso: PetscViewerSetFormat(), PetscViewerASCIIOpen(), PetscViewerDrawOpen(),
670           PetscViewerSocketOpen(), PetscViewerBinaryOpen(), MatLoad()
671 @*/
672 PetscErrorCode PETSCMAT_DLLEXPORT MatView(Mat mat,PetscViewer viewer)
673 {
674   PetscErrorCode    ierr;
675   PetscInt          rows,cols;
676   PetscTruth        iascii;
677   const MatType     cstr;
678   PetscViewerFormat format;
679 
680   PetscFunctionBegin;
681   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
682   PetscValidType(mat,1);
683   if (!viewer) {
684     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
685   }
686   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_COOKIE,2);
687   PetscCheckSameComm(mat,1,viewer,2);
688   if (!mat->assembled) SETERRQ(PETSC_ERR_ORDER,"Must call MatAssemblyBegin/End() before viewing matrix");
689   ierr = MatPreallocated(mat);CHKERRQ(ierr);
690 
691   ierr = PetscLogEventBegin(MAT_View,mat,viewer,0,0);CHKERRQ(ierr);
692   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr);
693   if (iascii) {
694     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
695     if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
696       if (((PetscObject)mat)->prefix) {
697         ierr = PetscViewerASCIIPrintf(viewer,"Matrix Object:(%s)\n",((PetscObject)mat)->prefix);CHKERRQ(ierr);
698       } else {
699         ierr = PetscViewerASCIIPrintf(viewer,"Matrix Object:\n");CHKERRQ(ierr);
700       }
701       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
702       ierr = MatGetType(mat,&cstr);CHKERRQ(ierr);
703       ierr = MatGetSize(mat,&rows,&cols);CHKERRQ(ierr);
704       ierr = PetscViewerASCIIPrintf(viewer,"type=%s, rows=%D, cols=%D\n",cstr,rows,cols);CHKERRQ(ierr);
705       if (mat->factor) {
706         const MatSolverPackage solver;
707         ierr = MatFactorGetSolverPackage(mat,&solver);CHKERRQ(ierr);
708         ierr = PetscViewerASCIIPrintf(viewer,"package used to perform factorization: %s\n",solver);CHKERRQ(ierr);
709       }
710       if (mat->ops->getinfo) {
711         MatInfo info;
712         ierr = MatGetInfo(mat,MAT_GLOBAL_SUM,&info);CHKERRQ(ierr);
713         ierr = PetscViewerASCIIPrintf(viewer,"total: nonzeros=%D, allocated nonzeros=%D\n",(PetscInt)info.nz_used,(PetscInt)info.nz_allocated);CHKERRQ(ierr);
714       }
715     }
716   }
717   if (mat->ops->view) {
718     ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
719     ierr = (*mat->ops->view)(mat,viewer);CHKERRQ(ierr);
720     ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
721   } else if (!iascii) {
722     SETERRQ1(PETSC_ERR_SUP,"Viewer type %s not supported",((PetscObject)viewer)->type_name);
723   }
724   if (iascii) {
725     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
726     if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
727       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
728     }
729   }
730   ierr = PetscLogEventEnd(MAT_View,mat,viewer,0,0);CHKERRQ(ierr);
731   PetscFunctionReturn(0);
732 }
733 
734 #undef __FUNCT__
735 #define __FUNCT__ "MatScaleSystem"
736 /*@
737    MatScaleSystem - Scale a vector solution and right hand side to
738    match the scaling of a scaled matrix.
739 
740    Collective on Mat
741 
742    Input Parameter:
743 +  mat - the matrix
744 .  b - right hand side vector (or PETSC_NULL)
745 -  x - solution vector (or PETSC_NULL)
746 
747 
748    Notes:
749    For AIJ, and BAIJ matrix formats, the matrices are not
750    internally scaled, so this does nothing.
751 
752    The KSP methods automatically call this routine when required
753    (via PCPreSolve()) so it is rarely used directly.
754 
755    Level: Developer
756 
757    Concepts: matrices^scaling
758 
759 .seealso: MatUseScaledForm(), MatUnScaleSystem()
760 @*/
761 PetscErrorCode PETSCMAT_DLLEXPORT MatScaleSystem(Mat mat,Vec b,Vec x)
762 {
763   PetscErrorCode ierr;
764 
765   PetscFunctionBegin;
766   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
767   PetscValidType(mat,1);
768   ierr = MatPreallocated(mat);CHKERRQ(ierr);
769   if (x) {PetscValidHeaderSpecific(x,VEC_COOKIE,3);PetscCheckSameComm(mat,1,x,3);}
770   if (b) {PetscValidHeaderSpecific(b,VEC_COOKIE,2);PetscCheckSameComm(mat,1,b,2);}
771 
772   if (mat->ops->scalesystem) {
773     ierr = (*mat->ops->scalesystem)(mat,b,x);CHKERRQ(ierr);
774   }
775   PetscFunctionReturn(0);
776 }
777 
778 #undef __FUNCT__
779 #define __FUNCT__ "MatUnScaleSystem"
780 /*@
781    MatUnScaleSystem - Unscales a vector solution and right hand side to
782    match the original scaling of a scaled matrix.
783 
784    Collective on Mat
785 
786    Input Parameter:
787 +  mat - the matrix
788 .  b - right hand side vector (or PETSC_NULL)
789 -  x - solution vector (or PETSC_NULL)
790 
791 
792    Notes:
793    For AIJ and BAIJ matrix formats, the matrices are not
794    internally scaled, so this does nothing.
795 
796    The KSP methods automatically call this routine when required
797    (via PCPreSolve()) so it is rarely used directly.
798 
799    Level: Developer
800 
801 .seealso: MatUseScaledForm(), MatScaleSystem()
802 @*/
803 PetscErrorCode PETSCMAT_DLLEXPORT MatUnScaleSystem(Mat mat,Vec b,Vec x)
804 {
805   PetscErrorCode ierr;
806 
807   PetscFunctionBegin;
808   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
809   PetscValidType(mat,1);
810   ierr = MatPreallocated(mat);CHKERRQ(ierr);
811   if (x) {PetscValidHeaderSpecific(x,VEC_COOKIE,3);PetscCheckSameComm(mat,1,x,3);}
812   if (b) {PetscValidHeaderSpecific(b,VEC_COOKIE,2);PetscCheckSameComm(mat,1,b,2);}
813   if (mat->ops->unscalesystem) {
814     ierr = (*mat->ops->unscalesystem)(mat,b,x);CHKERRQ(ierr);
815   }
816   PetscFunctionReturn(0);
817 }
818 
819 #undef __FUNCT__
820 #define __FUNCT__ "MatUseScaledForm"
821 /*@
822    MatUseScaledForm - For matrix storage formats that scale the
823    matrix indicates matrix operations (MatMult() etc) are
824    applied using the scaled matrix.
825 
826    Collective on Mat
827 
828    Input Parameter:
829 +  mat - the matrix
830 -  scaled - PETSC_TRUE for applying the scaled, PETSC_FALSE for
831             applying the original matrix
832 
833    Notes:
834    For scaled matrix formats, applying the original, unscaled matrix
835    will be slightly more expensive
836 
837    Level: Developer
838 
839 .seealso: MatScaleSystem(), MatUnScaleSystem()
840 @*/
841 PetscErrorCode PETSCMAT_DLLEXPORT MatUseScaledForm(Mat mat,PetscTruth scaled)
842 {
843   PetscErrorCode ierr;
844 
845   PetscFunctionBegin;
846   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
847   PetscValidType(mat,1);
848   ierr = MatPreallocated(mat);CHKERRQ(ierr);
849   if (mat->ops->usescaledform) {
850     ierr = (*mat->ops->usescaledform)(mat,scaled);CHKERRQ(ierr);
851   }
852   PetscFunctionReturn(0);
853 }
854 
855 #undef __FUNCT__
856 #define __FUNCT__ "MatDestroy"
857 /*@
858    MatDestroy - Frees space taken by a matrix.
859 
860    Collective on Mat
861 
862    Input Parameter:
863 .  A - the matrix
864 
865    Level: beginner
866 
867 @*/
868 PetscErrorCode PETSCMAT_DLLEXPORT MatDestroy(Mat A)
869 {
870   PetscErrorCode ierr;
871   PetscFunctionBegin;
872   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
873   if (--((PetscObject)A)->refct > 0) PetscFunctionReturn(0);
874   ierr = MatPreallocated(A);CHKERRQ(ierr);
875   /* if memory was published with AMS then destroy it */
876   ierr = PetscObjectDepublish(A);CHKERRQ(ierr);
877   if (A->ops->destroy) {
878     ierr = (*A->ops->destroy)(A);CHKERRQ(ierr);
879   }
880   if (A->mapping) {
881     ierr = ISLocalToGlobalMappingDestroy(A->mapping);CHKERRQ(ierr);
882   }
883   if (A->bmapping) {
884     ierr = ISLocalToGlobalMappingDestroy(A->bmapping);CHKERRQ(ierr);
885   }
886 
887   if (A->spptr){ierr = PetscFree(A->spptr);CHKERRQ(ierr);}
888   ierr = PetscLayoutDestroy(A->rmap);CHKERRQ(ierr);
889   ierr = PetscLayoutDestroy(A->cmap);CHKERRQ(ierr);
890   ierr = PetscHeaderDestroy(A);CHKERRQ(ierr);
891   PetscFunctionReturn(0);
892 }
893 
894 #undef __FUNCT__
895 #define __FUNCT__ "MatValid"
896 /*@
897    MatValid - Checks whether a matrix object is valid.
898 
899    Collective on Mat
900 
901    Input Parameter:
902 .  m - the matrix to check
903 
904    Output Parameter:
905    flg - flag indicating matrix status, either
906    PETSC_TRUE if matrix is valid, or PETSC_FALSE otherwise.
907 
908    Level: developer
909 
910    Concepts: matrices^validity
911 @*/
912 PetscErrorCode PETSCMAT_DLLEXPORT MatValid(Mat m,PetscTruth *flg)
913 {
914   PetscFunctionBegin;
915   PetscValidIntPointer(flg,1);
916   if (!m)                                          *flg = PETSC_FALSE;
917   else if (((PetscObject)m)->cookie != MAT_COOKIE) *flg = PETSC_FALSE;
918   else                                             *flg = PETSC_TRUE;
919   PetscFunctionReturn(0);
920 }
921 
922 #undef __FUNCT__
923 #define __FUNCT__ "MatSetValues"
924 /*@
925    MatSetValues - Inserts or adds a block of values into a matrix.
926    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
927    MUST be called after all calls to MatSetValues() have been completed.
928 
929    Not Collective
930 
931    Input Parameters:
932 +  mat - the matrix
933 .  v - a logically two-dimensional array of values
934 .  m, idxm - the number of rows and their global indices
935 .  n, idxn - the number of columns and their global indices
936 -  addv - either ADD_VALUES or INSERT_VALUES, where
937    ADD_VALUES adds values to any existing entries, and
938    INSERT_VALUES replaces existing entries with new values
939 
940    Notes:
941    By default the values, v, are row-oriented. See MatSetOption() for other options.
942 
943    Calls to MatSetValues() with the INSERT_VALUES and ADD_VALUES
944    options cannot be mixed without intervening calls to the assembly
945    routines.
946 
947    MatSetValues() uses 0-based row and column numbers in Fortran
948    as well as in C.
949 
950    Negative indices may be passed in idxm and idxn, these rows and columns are
951    simply ignored. This allows easily inserting element stiffness matrices
952    with homogeneous Dirchlet boundary conditions that you don't want represented
953    in the matrix.
954 
955    Efficiency Alert:
956    The routine MatSetValuesBlocked() may offer much better efficiency
957    for users of block sparse formats (MATSEQBAIJ and MATMPIBAIJ).
958 
959    Level: beginner
960 
961    Concepts: matrices^putting entries in
962 
963 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
964           InsertMode, INSERT_VALUES, ADD_VALUES
965 @*/
966 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValues(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],const PetscScalar v[],InsertMode addv)
967 {
968   PetscErrorCode ierr;
969 
970   PetscFunctionBegin;
971   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
972   PetscValidType(mat,1);
973   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
974   PetscValidIntPointer(idxm,3);
975   PetscValidIntPointer(idxn,5);
976   if (v) PetscValidDoublePointer(v,6);
977   ierr = MatPreallocated(mat);CHKERRQ(ierr);
978   if (mat->insertmode == NOT_SET_VALUES) {
979     mat->insertmode = addv;
980   }
981 #if defined(PETSC_USE_DEBUG)
982   else if (mat->insertmode != addv) {
983     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
984   }
985   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
986 #endif
987 
988   if (mat->assembled) {
989     mat->was_assembled = PETSC_TRUE;
990     mat->assembled     = PETSC_FALSE;
991   }
992   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
993   if (!mat->ops->setvalues) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
994   ierr = (*mat->ops->setvalues)(mat,m,idxm,n,idxn,v,addv);CHKERRQ(ierr);
995   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
996   PetscFunctionReturn(0);
997 }
998 
999 
1000 #undef __FUNCT__
1001 #define __FUNCT__ "MatSetValuesRowLocal"
1002 /*@
1003    MatSetValuesRowLocal - Inserts a row (block row for BAIJ matrices) of nonzero
1004         values into a matrix
1005 
1006    Not Collective
1007 
1008    Input Parameters:
1009 +  mat - the matrix
1010 .  row - the (block) row to set
1011 -  v - a logically two-dimensional array of values
1012 
1013    Notes:
1014    By the values, v, are column-oriented (for the block version) and sorted
1015 
1016    All the nonzeros in the row must be provided
1017 
1018    The matrix must have previously had its column indices set
1019 
1020    The row must belong to this process
1021 
1022    Level: intermediate
1023 
1024    Concepts: matrices^putting entries in
1025 
1026 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
1027           InsertMode, INSERT_VALUES, ADD_VALUES, MatSetValues(), MatSetValuesRow(), MatSetLocalToGlobalMapping()
1028 @*/
1029 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesRowLocal(Mat mat,PetscInt row,const PetscScalar v[])
1030 {
1031   PetscErrorCode ierr;
1032 
1033   PetscFunctionBegin;
1034   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1035   PetscValidType(mat,1);
1036   PetscValidScalarPointer(v,2);
1037   ierr = MatSetValuesRow(mat, mat->mapping->indices[row],v);CHKERRQ(ierr);
1038   PetscFunctionReturn(0);
1039 }
1040 
1041 #undef __FUNCT__
1042 #define __FUNCT__ "MatSetValuesRow"
1043 /*@
1044    MatSetValuesRow - Inserts a row (block row for BAIJ matrices) of nonzero
1045         values into a matrix
1046 
1047    Not Collective
1048 
1049    Input Parameters:
1050 +  mat - the matrix
1051 .  row - the (block) row to set
1052 -  v - a logically two-dimensional array of values
1053 
1054    Notes:
1055    The values, v, are column-oriented for the block version.
1056 
1057    All the nonzeros in the row must be provided
1058 
1059    THE MATRIX MUSAT HAVE PREVIOUSLY HAD ITS COLUMN INDICES SET. IT IS RARE THAT THIS ROUTINE IS USED, usually MatSetValues() is used.
1060 
1061    The row must belong to this process
1062 
1063    Level: advanced
1064 
1065    Concepts: matrices^putting entries in
1066 
1067 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
1068           InsertMode, INSERT_VALUES, ADD_VALUES, MatSetValues()
1069 @*/
1070 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesRow(Mat mat,PetscInt row,const PetscScalar v[])
1071 {
1072   PetscErrorCode ierr;
1073 
1074   PetscFunctionBegin;
1075   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1076   PetscValidType(mat,1);
1077   PetscValidScalarPointer(v,2);
1078 #if defined(PETSC_USE_DEBUG)
1079   if (mat->insertmode == ADD_VALUES) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add and insert values");
1080   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1081 #endif
1082   mat->insertmode = INSERT_VALUES;
1083 
1084   if (mat->assembled) {
1085     mat->was_assembled = PETSC_TRUE;
1086     mat->assembled     = PETSC_FALSE;
1087   }
1088   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1089   if (!mat->ops->setvaluesrow) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
1090   ierr = (*mat->ops->setvaluesrow)(mat,row,v);CHKERRQ(ierr);
1091   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1092   PetscFunctionReturn(0);
1093 }
1094 
1095 #undef __FUNCT__
1096 #define __FUNCT__ "MatSetValuesStencil"
1097 /*@
1098    MatSetValuesStencil - Inserts or adds a block of values into a matrix.
1099      Using structured grid indexing
1100 
1101    Not Collective
1102 
1103    Input Parameters:
1104 +  mat - the matrix
1105 .  m - number of rows being entered
1106 .  idxm - grid coordinates (and component number when dof > 1) for matrix rows being entered
1107 .  n - number of columns being entered
1108 .  idxn - grid coordinates (and component number when dof > 1) for matrix columns being entered
1109 .  v - a logically two-dimensional array of values
1110 -  addv - either ADD_VALUES or INSERT_VALUES, where
1111    ADD_VALUES adds values to any existing entries, and
1112    INSERT_VALUES replaces existing entries with new values
1113 
1114    Notes:
1115    By default the values, v, are row-oriented.  See MatSetOption() for other options.
1116 
1117    Calls to MatSetValuesStencil() with the INSERT_VALUES and ADD_VALUES
1118    options cannot be mixed without intervening calls to the assembly
1119    routines.
1120 
1121    The grid coordinates are across the entire grid, not just the local portion
1122 
1123    MatSetValuesStencil() uses 0-based row and column numbers in Fortran
1124    as well as in C.
1125 
1126    For setting/accessing vector values via array coordinates you can use the DAVecGetArray() routine
1127 
1128    In order to use this routine you must either obtain the matrix with DAGetMatrix()
1129    or call MatSetLocalToGlobalMapping() and MatSetStencil() first.
1130 
1131    The columns and rows in the stencil passed in MUST be contained within the
1132    ghost region of the given process as set with DACreateXXX() or MatSetStencil(). For example,
1133    if you create a DA with an overlap of one grid level and on a particular process its first
1134    local nonghost x logical coordinate is 6 (so its first ghost x logical coordinate is 5) the
1135    first i index you can use in your column and row indices in MatSetStencil() is 5.
1136 
1137    In Fortran idxm and idxn should be declared as
1138 $     MatStencil idxm(4,m),idxn(4,n)
1139    and the values inserted using
1140 $    idxm(MatStencil_i,1) = i
1141 $    idxm(MatStencil_j,1) = j
1142 $    idxm(MatStencil_k,1) = k
1143 $    idxm(MatStencil_c,1) = c
1144    etc
1145 
1146    For periodic boundary conditions use negative indices for values to the left (below 0; that are to be
1147    obtained by wrapping values from right edge). For values to the right of the last entry using that index plus one
1148    etc to obtain values that obtained by wrapping the values from the left edge. This does not work for the DA_NONPERIODIC
1149    wrap.
1150 
1151    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
1152    a single value per point) you can skip filling those indices.
1153 
1154    Inspired by the structured grid interface to the HYPRE package
1155    (http://www.llnl.gov/CASC/hypre)
1156 
1157    Efficiency Alert:
1158    The routine MatSetValuesBlockedStencil() may offer much better efficiency
1159    for users of block sparse formats (MATSEQBAIJ and MATMPIBAIJ).
1160 
1161    Level: beginner
1162 
1163    Concepts: matrices^putting entries in
1164 
1165 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1166           MatSetValues(), MatSetValuesBlockedStencil(), MatSetStencil(), DAGetMatrix(), DAVecGetArray(), MatStencil
1167 @*/
1168 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesStencil(Mat mat,PetscInt m,const MatStencil idxm[],PetscInt n,const MatStencil idxn[],const PetscScalar v[],InsertMode addv)
1169 {
1170   PetscErrorCode ierr;
1171   PetscInt       j,i,jdxm[128],jdxn[256],dim = mat->stencil.dim,*dims = mat->stencil.dims+1,tmp;
1172   PetscInt       *starts = mat->stencil.starts,*dxm = (PetscInt*)idxm,*dxn = (PetscInt*)idxn,sdim = dim - (1 - (PetscInt)mat->stencil.noc);
1173 
1174   PetscFunctionBegin;
1175   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1176   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1177   PetscValidType(mat,1);
1178   PetscValidIntPointer(idxm,3);
1179   PetscValidIntPointer(idxn,5);
1180   PetscValidScalarPointer(v,6);
1181 
1182   if (m > 128) SETERRQ1(PETSC_ERR_SUP,"Can only set 128 rows at a time; trying to set %D",m);
1183   if (n > 256) SETERRQ1(PETSC_ERR_SUP,"Can only set 256 columns at a time; trying to set %D",n);
1184 
1185   for (i=0; i<m; i++) {
1186     for (j=0; j<3-sdim; j++) dxm++;
1187     tmp = *dxm++ - starts[0];
1188     for (j=0; j<dim-1; j++) {
1189       if ((*dxm++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1190       else                                       tmp = tmp*dims[j] + *(dxm-1) - starts[j+1];
1191     }
1192     if (mat->stencil.noc) dxm++;
1193     jdxm[i] = tmp;
1194   }
1195   for (i=0; i<n; i++) {
1196     for (j=0; j<3-sdim; j++) dxn++;
1197     tmp = *dxn++ - starts[0];
1198     for (j=0; j<dim-1; j++) {
1199       if ((*dxn++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1200       else                                       tmp = tmp*dims[j] + *(dxn-1) - starts[j+1];
1201     }
1202     if (mat->stencil.noc) dxn++;
1203     jdxn[i] = tmp;
1204   }
1205   ierr = MatSetValuesLocal(mat,m,jdxm,n,jdxn,v,addv);CHKERRQ(ierr);
1206   PetscFunctionReturn(0);
1207 }
1208 
1209 #undef __FUNCT__
1210 #define __FUNCT__ "MatSetValuesBlockedStencil"
1211 /*@C
1212    MatSetValuesBlockedStencil - Inserts or adds a block of values into a matrix.
1213      Using structured grid indexing
1214 
1215    Not Collective
1216 
1217    Input Parameters:
1218 +  mat - the matrix
1219 .  m - number of rows being entered
1220 .  idxm - grid coordinates for matrix rows being entered
1221 .  n - number of columns being entered
1222 .  idxn - grid coordinates for matrix columns being entered
1223 .  v - a logically two-dimensional array of values
1224 -  addv - either ADD_VALUES or INSERT_VALUES, where
1225    ADD_VALUES adds values to any existing entries, and
1226    INSERT_VALUES replaces existing entries with new values
1227 
1228    Notes:
1229    By default the values, v, are row-oriented and unsorted.
1230    See MatSetOption() for other options.
1231 
1232    Calls to MatSetValuesBlockedStencil() with the INSERT_VALUES and ADD_VALUES
1233    options cannot be mixed without intervening calls to the assembly
1234    routines.
1235 
1236    The grid coordinates are across the entire grid, not just the local portion
1237 
1238    MatSetValuesBlockedStencil() uses 0-based row and column numbers in Fortran
1239    as well as in C.
1240 
1241    For setting/accessing vector values via array coordinates you can use the DAVecGetArray() routine
1242 
1243    In order to use this routine you must either obtain the matrix with DAGetMatrix()
1244    or call MatSetBlockSize(), MatSetLocalToGlobalMapping() and MatSetStencil() first.
1245 
1246    The columns and rows in the stencil passed in MUST be contained within the
1247    ghost region of the given process as set with DACreateXXX() or MatSetStencil(). For example,
1248    if you create a DA with an overlap of one grid level and on a particular process its first
1249    local nonghost x logical coordinate is 6 (so its first ghost x logical coordinate is 5) the
1250    first i index you can use in your column and row indices in MatSetStencil() is 5.
1251 
1252    In Fortran idxm and idxn should be declared as
1253 $     MatStencil idxm(4,m),idxn(4,n)
1254    and the values inserted using
1255 $    idxm(MatStencil_i,1) = i
1256 $    idxm(MatStencil_j,1) = j
1257 $    idxm(MatStencil_k,1) = k
1258    etc
1259 
1260    Negative indices may be passed in idxm and idxn, these rows and columns are
1261    simply ignored. This allows easily inserting element stiffness matrices
1262    with homogeneous Dirchlet boundary conditions that you don't want represented
1263    in the matrix.
1264 
1265    Inspired by the structured grid interface to the HYPRE package
1266    (http://www.llnl.gov/CASC/hypre)
1267 
1268    Level: beginner
1269 
1270    Concepts: matrices^putting entries in
1271 
1272 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1273           MatSetValues(), MatSetValuesStencil(), MatSetStencil(), DAGetMatrix(), DAVecGetArray(), MatStencil,
1274           MatSetBlockSize(), MatSetLocalToGlobalMapping()
1275 @*/
1276 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlockedStencil(Mat mat,PetscInt m,const MatStencil idxm[],PetscInt n,const MatStencil idxn[],const PetscScalar v[],InsertMode addv)
1277 {
1278   PetscErrorCode ierr;
1279   PetscInt       j,i,jdxm[128],jdxn[256],dim = mat->stencil.dim,*dims = mat->stencil.dims+1,tmp;
1280   PetscInt       *starts = mat->stencil.starts,*dxm = (PetscInt*)idxm,*dxn = (PetscInt*)idxn,sdim = dim - (1 - (PetscInt)mat->stencil.noc);
1281 
1282   PetscFunctionBegin;
1283   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1284   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1285   PetscValidType(mat,1);
1286   PetscValidIntPointer(idxm,3);
1287   PetscValidIntPointer(idxn,5);
1288   PetscValidScalarPointer(v,6);
1289 
1290   if (m > 128) SETERRQ1(PETSC_ERR_SUP,"Can only set 128 rows at a time; trying to set %D",m);
1291   if (n > 128) SETERRQ1(PETSC_ERR_SUP,"Can only set 256 columns at a time; trying to set %D",n);
1292 
1293   for (i=0; i<m; i++) {
1294     for (j=0; j<3-sdim; j++) dxm++;
1295     tmp = *dxm++ - starts[0];
1296     for (j=0; j<sdim-1; j++) {
1297       if ((*dxm++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1298       else                                      tmp = tmp*dims[j] + *(dxm-1) - starts[j+1];
1299     }
1300     dxm++;
1301     jdxm[i] = tmp;
1302   }
1303   for (i=0; i<n; i++) {
1304     for (j=0; j<3-sdim; j++) dxn++;
1305     tmp = *dxn++ - starts[0];
1306     for (j=0; j<sdim-1; j++) {
1307       if ((*dxn++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1308       else                                       tmp = tmp*dims[j] + *(dxn-1) - starts[j+1];
1309     }
1310     dxn++;
1311     jdxn[i] = tmp;
1312   }
1313   ierr = MatSetValuesBlockedLocal(mat,m,jdxm,n,jdxn,v,addv);CHKERRQ(ierr);
1314   PetscFunctionReturn(0);
1315 }
1316 
1317 #undef __FUNCT__
1318 #define __FUNCT__ "MatSetStencil"
1319 /*@
1320    MatSetStencil - Sets the grid information for setting values into a matrix via
1321         MatSetValuesStencil()
1322 
1323    Not Collective
1324 
1325    Input Parameters:
1326 +  mat - the matrix
1327 .  dim - dimension of the grid 1, 2, or 3
1328 .  dims - number of grid points in x, y, and z direction, including ghost points on your processor
1329 .  starts - starting point of ghost nodes on your processor in x, y, and z direction
1330 -  dof - number of degrees of freedom per node
1331 
1332 
1333    Inspired by the structured grid interface to the HYPRE package
1334    (www.llnl.gov/CASC/hyper)
1335 
1336    For matrices generated with DAGetMatrix() this routine is automatically called and so not needed by the
1337    user.
1338 
1339    Level: beginner
1340 
1341    Concepts: matrices^putting entries in
1342 
1343 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1344           MatSetValues(), MatSetValuesBlockedStencil(), MatSetValuesStencil()
1345 @*/
1346 PetscErrorCode PETSCMAT_DLLEXPORT MatSetStencil(Mat mat,PetscInt dim,const PetscInt dims[],const PetscInt starts[],PetscInt dof)
1347 {
1348   PetscInt i;
1349 
1350   PetscFunctionBegin;
1351   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1352   PetscValidIntPointer(dims,3);
1353   PetscValidIntPointer(starts,4);
1354 
1355   mat->stencil.dim = dim + (dof > 1);
1356   for (i=0; i<dim; i++) {
1357     mat->stencil.dims[i]   = dims[dim-i-1];      /* copy the values in backwards */
1358     mat->stencil.starts[i] = starts[dim-i-1];
1359   }
1360   mat->stencil.dims[dim]   = dof;
1361   mat->stencil.starts[dim] = 0;
1362   mat->stencil.noc         = (PetscTruth)(dof == 1);
1363   PetscFunctionReturn(0);
1364 }
1365 
1366 #undef __FUNCT__
1367 #define __FUNCT__ "MatSetValuesBlocked"
1368 /*@
1369    MatSetValuesBlocked - Inserts or adds a block of values into a matrix.
1370 
1371    Not Collective
1372 
1373    Input Parameters:
1374 +  mat - the matrix
1375 .  v - a logically two-dimensional array of values
1376 .  m, idxm - the number of block rows and their global block indices
1377 .  n, idxn - the number of block columns and their global block indices
1378 -  addv - either ADD_VALUES or INSERT_VALUES, where
1379    ADD_VALUES adds values to any existing entries, and
1380    INSERT_VALUES replaces existing entries with new values
1381 
1382    Notes:
1383    The m and n count the NUMBER of blocks in the row direction and column direction,
1384    NOT the total number of rows/columns; for example, if the block size is 2 and
1385    you are passing in values for rows 2,3,4,5  then m would be 2 (not 4).
1386    The values in idxm would be 1 2; that is the first index for each block divided by
1387    the block size.
1388 
1389    Note that you must call MatSetBlockSize() when constructing this matrix (after
1390    preallocating it).
1391 
1392    By default the values, v, are row-oriented, so the layout of
1393    v is the same as for MatSetValues(). See MatSetOption() for other options.
1394 
1395    Calls to MatSetValuesBlocked() with the INSERT_VALUES and ADD_VALUES
1396    options cannot be mixed without intervening calls to the assembly
1397    routines.
1398 
1399    MatSetValuesBlocked() uses 0-based row and column numbers in Fortran
1400    as well as in C.
1401 
1402    Negative indices may be passed in idxm and idxn, these rows and columns are
1403    simply ignored. This allows easily inserting element stiffness matrices
1404    with homogeneous Dirchlet boundary conditions that you don't want represented
1405    in the matrix.
1406 
1407    Each time an entry is set within a sparse matrix via MatSetValues(),
1408    internal searching must be done to determine where to place the the
1409    data in the matrix storage space.  By instead inserting blocks of
1410    entries via MatSetValuesBlocked(), the overhead of matrix assembly is
1411    reduced.
1412 
1413    Example:
1414 $   Suppose m=n=2 and block size(bs) = 2 The array is
1415 $
1416 $   1  2  | 3  4
1417 $   5  6  | 7  8
1418 $   - - - | - - -
1419 $   9  10 | 11 12
1420 $   13 14 | 15 16
1421 $
1422 $   v[] should be passed in like
1423 $   v[] = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]
1424 $
1425 $  If you are not using row oriented storage of v (that is you called MatSetOption(mat,MAT_ROW_ORIENTED,PETSC_FALSE)) then
1426 $   v[] = [1,5,9,13,2,6,10,14,3,7,11,15,4,8,12,16]
1427 
1428    Level: intermediate
1429 
1430    Concepts: matrices^putting entries in blocked
1431 
1432 .seealso: MatSetBlockSize(), MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesBlockedLocal()
1433 @*/
1434 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlocked(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],const PetscScalar v[],InsertMode addv)
1435 {
1436   PetscErrorCode ierr;
1437 
1438   PetscFunctionBegin;
1439   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1440   PetscValidType(mat,1);
1441   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1442   PetscValidIntPointer(idxm,3);
1443   PetscValidIntPointer(idxn,5);
1444   PetscValidScalarPointer(v,6);
1445   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1446   if (mat->insertmode == NOT_SET_VALUES) {
1447     mat->insertmode = addv;
1448   }
1449 #if defined(PETSC_USE_DEBUG)
1450   else if (mat->insertmode != addv) {
1451     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1452   }
1453   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1454 #endif
1455 
1456   if (mat->assembled) {
1457     mat->was_assembled = PETSC_TRUE;
1458     mat->assembled     = PETSC_FALSE;
1459   }
1460   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1461   if (mat->ops->setvaluesblocked) {
1462     ierr = (*mat->ops->setvaluesblocked)(mat,m,idxm,n,idxn,v,addv);CHKERRQ(ierr);
1463   } else {
1464     PetscInt buf[4096],*ibufm=0,*ibufn=0;
1465     PetscInt i,j,*iidxm,*iidxn,bs=mat->rmap->bs;
1466     if ((m+n)*bs <= 4096) {
1467       iidxm = buf; iidxn = buf + m*bs;
1468     } else {
1469       ierr = PetscMalloc2(m*bs,PetscInt,&ibufm,n*bs,PetscInt,&ibufn);CHKERRQ(ierr);
1470       iidxm = ibufm; iidxn = ibufn;
1471     }
1472     for (i=0; i<m; i++) {
1473       for (j=0; j<bs; j++) {
1474 	iidxm[i*bs+j] = bs*idxm[i] + j;
1475       }
1476     }
1477     for (i=0; i<n; i++) {
1478       for (j=0; j<bs; j++) {
1479 	iidxn[i*bs+j] = bs*idxn[i] + j;
1480       }
1481     }
1482     ierr = MatSetValues(mat,bs*m,iidxm,bs*n,iidxn,v,addv);CHKERRQ(ierr);
1483     ierr = PetscFree2(ibufm,ibufn);CHKERRQ(ierr);
1484   }
1485   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1486   PetscFunctionReturn(0);
1487 }
1488 
1489 #undef __FUNCT__
1490 #define __FUNCT__ "MatGetValues"
1491 /*@
1492    MatGetValues - Gets a block of values from a matrix.
1493 
1494    Not Collective; currently only returns a local block
1495 
1496    Input Parameters:
1497 +  mat - the matrix
1498 .  v - a logically two-dimensional array for storing the values
1499 .  m, idxm - the number of rows and their global indices
1500 -  n, idxn - the number of columns and their global indices
1501 
1502    Notes:
1503    The user must allocate space (m*n PetscScalars) for the values, v.
1504    The values, v, are then returned in a row-oriented format,
1505    analogous to that used by default in MatSetValues().
1506 
1507    MatGetValues() uses 0-based row and column numbers in
1508    Fortran as well as in C.
1509 
1510    MatGetValues() requires that the matrix has been assembled
1511    with MatAssemblyBegin()/MatAssemblyEnd().  Thus, calls to
1512    MatSetValues() and MatGetValues() CANNOT be made in succession
1513    without intermediate matrix assembly.
1514 
1515    Negative row or column indices will be ignored and those locations in v[] will be
1516    left unchanged.
1517 
1518    Level: advanced
1519 
1520    Concepts: matrices^accessing values
1521 
1522 .seealso: MatGetRow(), MatGetSubMatrices(), MatSetValues()
1523 @*/
1524 PetscErrorCode PETSCMAT_DLLEXPORT MatGetValues(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
1525 {
1526   PetscErrorCode ierr;
1527 
1528   PetscFunctionBegin;
1529   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1530   PetscValidType(mat,1);
1531   PetscValidIntPointer(idxm,3);
1532   PetscValidIntPointer(idxn,5);
1533   PetscValidScalarPointer(v,6);
1534   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1535   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1536   if (!mat->ops->getvalues) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
1537   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1538 
1539   ierr = PetscLogEventBegin(MAT_GetValues,mat,0,0,0);CHKERRQ(ierr);
1540   ierr = (*mat->ops->getvalues)(mat,m,idxm,n,idxn,v);CHKERRQ(ierr);
1541   ierr = PetscLogEventEnd(MAT_GetValues,mat,0,0,0);CHKERRQ(ierr);
1542   PetscFunctionReturn(0);
1543 }
1544 
1545 #undef __FUNCT__
1546 #define __FUNCT__ "MatSetLocalToGlobalMapping"
1547 /*@
1548    MatSetLocalToGlobalMapping - Sets a local-to-global numbering for use by
1549    the routine MatSetValuesLocal() to allow users to insert matrix entries
1550    using a local (per-processor) numbering.
1551 
1552    Not Collective
1553 
1554    Input Parameters:
1555 +  x - the matrix
1556 -  mapping - mapping created with ISLocalToGlobalMappingCreate()
1557              or ISLocalToGlobalMappingCreateIS()
1558 
1559    Level: intermediate
1560 
1561    Concepts: matrices^local to global mapping
1562    Concepts: local to global mapping^for matrices
1563 
1564 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesLocal()
1565 @*/
1566 PetscErrorCode PETSCMAT_DLLEXPORT MatSetLocalToGlobalMapping(Mat x,ISLocalToGlobalMapping mapping)
1567 {
1568   PetscErrorCode ierr;
1569   PetscFunctionBegin;
1570   PetscValidHeaderSpecific(x,MAT_COOKIE,1);
1571   PetscValidType(x,1);
1572   PetscValidHeaderSpecific(mapping,IS_LTOGM_COOKIE,2);
1573   if (x->mapping) {
1574     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Mapping already set for matrix");
1575   }
1576   ierr = MatPreallocated(x);CHKERRQ(ierr);
1577 
1578   if (x->ops->setlocaltoglobalmapping) {
1579     ierr = (*x->ops->setlocaltoglobalmapping)(x,mapping);CHKERRQ(ierr);
1580   } else {
1581     ierr = PetscObjectReference((PetscObject)mapping);CHKERRQ(ierr);
1582     if (x->mapping) { ierr = ISLocalToGlobalMappingDestroy(x->mapping);CHKERRQ(ierr); }
1583     x->mapping = mapping;
1584   }
1585   PetscFunctionReturn(0);
1586 }
1587 
1588 #undef __FUNCT__
1589 #define __FUNCT__ "MatSetLocalToGlobalMappingBlock"
1590 /*@
1591    MatSetLocalToGlobalMappingBlock - Sets a local-to-global numbering for use
1592    by the routine MatSetValuesBlockedLocal() to allow users to insert matrix
1593    entries using a local (per-processor) numbering.
1594 
1595    Not Collective
1596 
1597    Input Parameters:
1598 +  x - the matrix
1599 -  mapping - mapping created with ISLocalToGlobalMappingCreate() or
1600              ISLocalToGlobalMappingCreateIS()
1601 
1602    Level: intermediate
1603 
1604    Concepts: matrices^local to global mapping blocked
1605    Concepts: local to global mapping^for matrices, blocked
1606 
1607 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesBlockedLocal(),
1608            MatSetValuesBlocked(), MatSetValuesLocal()
1609 @*/
1610 PetscErrorCode PETSCMAT_DLLEXPORT MatSetLocalToGlobalMappingBlock(Mat x,ISLocalToGlobalMapping mapping)
1611 {
1612   PetscErrorCode ierr;
1613   PetscFunctionBegin;
1614   PetscValidHeaderSpecific(x,MAT_COOKIE,1);
1615   PetscValidType(x,1);
1616   PetscValidHeaderSpecific(mapping,IS_LTOGM_COOKIE,2);
1617   if (x->bmapping) {
1618     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Mapping already set for matrix");
1619   }
1620   ierr = PetscObjectReference((PetscObject)mapping);CHKERRQ(ierr);
1621   if (x->bmapping) { ierr = ISLocalToGlobalMappingDestroy(x->bmapping);CHKERRQ(ierr); }
1622   x->bmapping = mapping;
1623   PetscFunctionReturn(0);
1624 }
1625 
1626 #undef __FUNCT__
1627 #define __FUNCT__ "MatSetValuesLocal"
1628 /*@
1629    MatSetValuesLocal - Inserts or adds values into certain locations of a matrix,
1630    using a local ordering of the nodes.
1631 
1632    Not Collective
1633 
1634    Input Parameters:
1635 +  x - the matrix
1636 .  nrow, irow - number of rows and their local indices
1637 .  ncol, icol - number of columns and their local indices
1638 .  y -  a logically two-dimensional array of values
1639 -  addv - either INSERT_VALUES or ADD_VALUES, where
1640    ADD_VALUES adds values to any existing entries, and
1641    INSERT_VALUES replaces existing entries with new values
1642 
1643    Notes:
1644    Before calling MatSetValuesLocal(), the user must first set the
1645    local-to-global mapping by calling MatSetLocalToGlobalMapping().
1646 
1647    Calls to MatSetValuesLocal() with the INSERT_VALUES and ADD_VALUES
1648    options cannot be mixed without intervening calls to the assembly
1649    routines.
1650 
1651    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
1652    MUST be called after all calls to MatSetValuesLocal() have been completed.
1653 
1654    Level: intermediate
1655 
1656    Concepts: matrices^putting entries in with local numbering
1657 
1658 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetLocalToGlobalMapping(),
1659            MatSetValueLocal()
1660 @*/
1661 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesLocal(Mat mat,PetscInt nrow,const PetscInt irow[],PetscInt ncol,const PetscInt icol[],const PetscScalar y[],InsertMode addv)
1662 {
1663   PetscErrorCode ierr;
1664   PetscInt       irowm[2048],icolm[2048];
1665 
1666   PetscFunctionBegin;
1667   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1668   PetscValidType(mat,1);
1669   if (!nrow || !ncol) PetscFunctionReturn(0); /* no values to insert */
1670   PetscValidIntPointer(irow,3);
1671   PetscValidIntPointer(icol,5);
1672   PetscValidScalarPointer(y,6);
1673   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1674   if (mat->insertmode == NOT_SET_VALUES) {
1675     mat->insertmode = addv;
1676   }
1677 #if defined(PETSC_USE_DEBUG)
1678   else if (mat->insertmode != addv) {
1679     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1680   }
1681   if (!mat->ops->setvalueslocal && (nrow > 2048 || ncol > 2048)) {
1682     SETERRQ2(PETSC_ERR_SUP,"Number column/row indices must be <= 2048: are %D %D",nrow,ncol);
1683   }
1684   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1685 #endif
1686 
1687   if (mat->assembled) {
1688     mat->was_assembled = PETSC_TRUE;
1689     mat->assembled     = PETSC_FALSE;
1690   }
1691   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1692   if (!mat->ops->setvalueslocal) {
1693     ierr = ISLocalToGlobalMappingApply(mat->mapping,nrow,irow,irowm);CHKERRQ(ierr);
1694     ierr = ISLocalToGlobalMappingApply(mat->mapping,ncol,icol,icolm);CHKERRQ(ierr);
1695     ierr = (*mat->ops->setvalues)(mat,nrow,irowm,ncol,icolm,y,addv);CHKERRQ(ierr);
1696   } else {
1697     ierr = (*mat->ops->setvalueslocal)(mat,nrow,irow,ncol,icol,y,addv);CHKERRQ(ierr);
1698   }
1699   mat->same_nonzero = PETSC_FALSE;
1700   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1701   PetscFunctionReturn(0);
1702 }
1703 
1704 #undef __FUNCT__
1705 #define __FUNCT__ "MatSetValuesBlockedLocal"
1706 /*@
1707    MatSetValuesBlockedLocal - Inserts or adds values into certain locations of a matrix,
1708    using a local ordering of the nodes a block at a time.
1709 
1710    Not Collective
1711 
1712    Input Parameters:
1713 +  x - the matrix
1714 .  nrow, irow - number of rows and their local indices
1715 .  ncol, icol - number of columns and their local indices
1716 .  y -  a logically two-dimensional array of values
1717 -  addv - either INSERT_VALUES or ADD_VALUES, where
1718    ADD_VALUES adds values to any existing entries, and
1719    INSERT_VALUES replaces existing entries with new values
1720 
1721    Notes:
1722    Before calling MatSetValuesBlockedLocal(), the user must first set the
1723    block size using MatSetBlockSize(), and the local-to-global mapping by
1724    calling MatSetLocalToGlobalMappingBlock(), where the mapping MUST be
1725    set for matrix blocks, not for matrix elements.
1726 
1727    Calls to MatSetValuesBlockedLocal() with the INSERT_VALUES and ADD_VALUES
1728    options cannot be mixed without intervening calls to the assembly
1729    routines.
1730 
1731    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
1732    MUST be called after all calls to MatSetValuesBlockedLocal() have been completed.
1733 
1734    Level: intermediate
1735 
1736    Concepts: matrices^putting blocked values in with local numbering
1737 
1738 .seealso:  MatSetBlockSize(), MatSetLocalToGlobalMappingBlock(), MatAssemblyBegin(), MatAssemblyEnd(),
1739            MatSetValuesLocal(), MatSetLocalToGlobalMappingBlock(), MatSetValuesBlocked()
1740 @*/
1741 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlockedLocal(Mat mat,PetscInt nrow,const PetscInt irow[],PetscInt ncol,const PetscInt icol[],const PetscScalar y[],InsertMode addv)
1742 {
1743   PetscErrorCode ierr;
1744   PetscInt       irowm[2048],icolm[2048];
1745 
1746   PetscFunctionBegin;
1747   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1748   PetscValidType(mat,1);
1749   if (!nrow || !ncol) PetscFunctionReturn(0); /* no values to insert */
1750   PetscValidIntPointer(irow,3);
1751   PetscValidIntPointer(icol,5);
1752   PetscValidScalarPointer(y,6);
1753   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1754   if (mat->insertmode == NOT_SET_VALUES) {
1755     mat->insertmode = addv;
1756   }
1757 #if defined(PETSC_USE_DEBUG)
1758   else if (mat->insertmode != addv) {
1759     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1760   }
1761   if (!mat->bmapping) {
1762     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Local to global never set with MatSetLocalToGlobalMappingBlock()");
1763   }
1764   if (nrow > 2048 || ncol > 2048) {
1765     SETERRQ2(PETSC_ERR_SUP,"Number column/row indices must be <= 2048: are %D %D",nrow,ncol);
1766   }
1767   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1768 #endif
1769 
1770   if (mat->assembled) {
1771     mat->was_assembled = PETSC_TRUE;
1772     mat->assembled     = PETSC_FALSE;
1773   }
1774   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1775   ierr = ISLocalToGlobalMappingApply(mat->bmapping,nrow,irow,irowm);CHKERRQ(ierr);
1776   ierr = ISLocalToGlobalMappingApply(mat->bmapping,ncol,icol,icolm);CHKERRQ(ierr);
1777   if (mat->ops->setvaluesblocked) {
1778     ierr = (*mat->ops->setvaluesblocked)(mat,nrow,irowm,ncol,icolm,y,addv);CHKERRQ(ierr);
1779   } else {
1780     PetscInt buf[4096],*ibufm=0,*ibufn=0;
1781     PetscInt i,j,*iirowm,*iicolm,bs=mat->rmap->bs;
1782     if ((nrow+ncol)*bs <= 4096) {
1783       iirowm = buf; iicolm = buf + nrow*bs;
1784     } else {
1785       ierr = PetscMalloc2(nrow*bs,PetscInt,&ibufm,ncol*bs,PetscInt,&ibufn);CHKERRQ(ierr);
1786       iirowm = ibufm; iicolm = ibufn;
1787     }
1788     for (i=0; i<nrow; i++) {
1789       for (j=0; j<bs; j++) {
1790 	iirowm[i*bs+j] = bs*irowm[i] + j;
1791       }
1792     }
1793     for (i=0; i<ncol; i++) {
1794       for (j=0; j<bs; j++) {
1795 	iicolm[i*bs+j] = bs*icolm[i] + j;
1796       }
1797     }
1798     ierr = MatSetValues(mat,bs*nrow,iirowm,bs*ncol,iicolm,y,addv);CHKERRQ(ierr);
1799     ierr = PetscFree2(ibufm,ibufn);CHKERRQ(ierr);
1800   }
1801   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1802   PetscFunctionReturn(0);
1803 }
1804 
1805 #undef __FUNCT__
1806 #define __FUNCT__ "MatMultDiagonalBlock"
1807 /*@
1808    MatMultDiagonalBlock - Computes the matrix-vector product, y = Dx. Where D is defined by the inode or block structure of the diagonal
1809 
1810    Collective on Mat and Vec
1811 
1812    Input Parameters:
1813 +  mat - the matrix
1814 -  x   - the vector to be multiplied
1815 
1816    Output Parameters:
1817 .  y - the result
1818 
1819    Notes:
1820    The vectors x and y cannot be the same.  I.e., one cannot
1821    call MatMult(A,y,y).
1822 
1823    Level: developer
1824 
1825    Concepts: matrix-vector product
1826 
1827 .seealso: MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
1828 @*/
1829 PetscErrorCode PETSCMAT_DLLEXPORT MatMultDiagonalBlock(Mat mat,Vec x,Vec y)
1830 {
1831   PetscErrorCode ierr;
1832 
1833   PetscFunctionBegin;
1834   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1835   PetscValidType(mat,1);
1836   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1837   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1838 
1839   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1840   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1841   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1842   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1843 
1844   if (!mat->ops->multdiagonalblock) SETERRQ(PETSC_ERR_SUP,"This matrix type does not have a multiply defined");
1845   ierr = (*mat->ops->multdiagonalblock)(mat,x,y);CHKERRQ(ierr);
1846   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1847   PetscFunctionReturn(0);
1848 }
1849 
1850 /* --------------------------------------------------------*/
1851 #undef __FUNCT__
1852 #define __FUNCT__ "MatMult"
1853 /*@
1854    MatMult - Computes the matrix-vector product, y = Ax.
1855 
1856    Collective on Mat and Vec
1857 
1858    Input Parameters:
1859 +  mat - the matrix
1860 -  x   - the vector to be multiplied
1861 
1862    Output Parameters:
1863 .  y - the result
1864 
1865    Notes:
1866    The vectors x and y cannot be the same.  I.e., one cannot
1867    call MatMult(A,y,y).
1868 
1869    Level: beginner
1870 
1871    Concepts: matrix-vector product
1872 
1873 .seealso: MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
1874 @*/
1875 PetscErrorCode PETSCMAT_DLLEXPORT MatMult(Mat mat,Vec x,Vec y)
1876 {
1877   PetscErrorCode ierr;
1878 
1879   PetscFunctionBegin;
1880   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1881   PetscValidType(mat,1);
1882   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1883   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1884 
1885   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1886   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1887   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1888 #ifndef PETSC_HAVE_CONSTRAINTS
1889   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);
1890   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);
1891   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);
1892 #endif
1893   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1894 
1895   if (mat->nullsp) {
1896     ierr = MatNullSpaceRemove(mat->nullsp,x,&x);CHKERRQ(ierr);
1897   }
1898 
1899   if (!mat->ops->mult) SETERRQ(PETSC_ERR_SUP,"This matrix type does not have a multiply defined");
1900   ierr = PetscLogEventBegin(MAT_Mult,mat,x,y,0);CHKERRQ(ierr);
1901   ierr = (*mat->ops->mult)(mat,x,y);CHKERRQ(ierr);
1902   ierr = PetscLogEventEnd(MAT_Mult,mat,x,y,0);CHKERRQ(ierr);
1903 
1904   if (mat->nullsp) {
1905     ierr = MatNullSpaceRemove(mat->nullsp,y,PETSC_NULL);CHKERRQ(ierr);
1906   }
1907   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1908   PetscFunctionReturn(0);
1909 }
1910 
1911 #undef __FUNCT__
1912 #define __FUNCT__ "MatMultTranspose"
1913 /*@
1914    MatMultTranspose - Computes matrix transpose times a vector.
1915 
1916    Collective on Mat and Vec
1917 
1918    Input Parameters:
1919 +  mat - the matrix
1920 -  x   - the vector to be multilplied
1921 
1922    Output Parameters:
1923 .  y - the result
1924 
1925    Notes:
1926    The vectors x and y cannot be the same.  I.e., one cannot
1927    call MatMultTranspose(A,y,y).
1928 
1929    Level: beginner
1930 
1931    Concepts: matrix vector product^transpose
1932 
1933 .seealso: MatMult(), MatMultAdd(), MatMultTransposeAdd()
1934 @*/
1935 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTranspose(Mat mat,Vec x,Vec y)
1936 {
1937   PetscErrorCode ierr;
1938 
1939   PetscFunctionBegin;
1940   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1941   PetscValidType(mat,1);
1942   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1943   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1944 
1945   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1946   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1947   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1948 #ifndef PETSC_HAVE_CONSTRAINTS
1949   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);
1950   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);
1951 #endif
1952   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1953 
1954   if (!mat->ops->multtranspose) SETERRQ(PETSC_ERR_SUP,"This matrix type does not have a multiply tranpose defined");
1955   ierr = PetscLogEventBegin(MAT_MultTranspose,mat,x,y,0);CHKERRQ(ierr);
1956   ierr = (*mat->ops->multtranspose)(mat,x,y);CHKERRQ(ierr);
1957   ierr = PetscLogEventEnd(MAT_MultTranspose,mat,x,y,0);CHKERRQ(ierr);
1958   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1959   PetscFunctionReturn(0);
1960 }
1961 
1962 #undef __FUNCT__
1963 #define __FUNCT__ "MatMultHermitianTranspose"
1964 /*@
1965    MatMultHermitianTranspose - Computes matrix Hermitian transpose times a vector.
1966 
1967    Collective on Mat and Vec
1968 
1969    Input Parameters:
1970 +  mat - the matrix
1971 -  x   - the vector to be multilplied
1972 
1973    Output Parameters:
1974 .  y - the result
1975 
1976    Notes:
1977    The vectors x and y cannot be the same.  I.e., one cannot
1978    call MatMultHermitianTranspose(A,y,y).
1979 
1980    Level: beginner
1981 
1982    Concepts: matrix vector product^transpose
1983 
1984 .seealso: MatMult(), MatMultAdd(), MatMultHermitianTransposeAdd(), MatMultTranspose()
1985 @*/
1986 PetscErrorCode PETSCMAT_DLLEXPORT MatMultHermitianTranspose(Mat mat,Vec x,Vec y)
1987 {
1988   PetscErrorCode ierr;
1989 
1990   PetscFunctionBegin;
1991   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1992   PetscValidType(mat,1);
1993   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1994   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1995 
1996   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1997   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1998   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1999 #ifndef PETSC_HAVE_CONSTRAINTS
2000   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);
2001   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);
2002 #endif
2003   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2004 
2005   if (!mat->ops->multtranspose) SETERRQ(PETSC_ERR_SUP,"This matrix type does not have a multiply tranpose defined");
2006   ierr = PetscLogEventBegin(MAT_MultHermitianTranspose,mat,x,y,0);CHKERRQ(ierr);
2007   ierr = (*mat->ops->multhermitiantranspose)(mat,x,y);CHKERRQ(ierr);
2008   ierr = PetscLogEventEnd(MAT_MultHermitianTranspose,mat,x,y,0);CHKERRQ(ierr);
2009   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
2010   PetscFunctionReturn(0);
2011 }
2012 
2013 #undef __FUNCT__
2014 #define __FUNCT__ "MatMultAdd"
2015 /*@
2016     MatMultAdd -  Computes v3 = v2 + A * v1.
2017 
2018     Collective on Mat and Vec
2019 
2020     Input Parameters:
2021 +   mat - the matrix
2022 -   v1, v2 - the vectors
2023 
2024     Output Parameters:
2025 .   v3 - the result
2026 
2027     Notes:
2028     The vectors v1 and v3 cannot be the same.  I.e., one cannot
2029     call MatMultAdd(A,v1,v2,v1).
2030 
2031     Level: beginner
2032 
2033     Concepts: matrix vector product^addition
2034 
2035 .seealso: MatMultTranspose(), MatMult(), MatMultTransposeAdd()
2036 @*/
2037 PetscErrorCode PETSCMAT_DLLEXPORT MatMultAdd(Mat mat,Vec v1,Vec v2,Vec v3)
2038 {
2039   PetscErrorCode ierr;
2040 
2041   PetscFunctionBegin;
2042   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2043   PetscValidType(mat,1);
2044   PetscValidHeaderSpecific(v1,VEC_COOKIE,2);
2045   PetscValidHeaderSpecific(v2,VEC_COOKIE,3);
2046   PetscValidHeaderSpecific(v3,VEC_COOKIE,4);
2047 
2048   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2049   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2050   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);
2051   /* 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);
2052      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); */
2053   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);
2054   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);
2055   if (v1 == v3) SETERRQ(PETSC_ERR_ARG_IDN,"v1 and v3 must be different vectors");
2056   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2057 
2058   ierr = PetscLogEventBegin(MAT_MultAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2059   ierr = (*mat->ops->multadd)(mat,v1,v2,v3);CHKERRQ(ierr);
2060   ierr = PetscLogEventEnd(MAT_MultAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2061   ierr = PetscObjectStateIncrease((PetscObject)v3);CHKERRQ(ierr);
2062   PetscFunctionReturn(0);
2063 }
2064 
2065 #undef __FUNCT__
2066 #define __FUNCT__ "MatMultTransposeAdd"
2067 /*@
2068    MatMultTransposeAdd - Computes v3 = v2 + A' * v1.
2069 
2070    Collective on Mat and Vec
2071 
2072    Input Parameters:
2073 +  mat - the matrix
2074 -  v1, v2 - the vectors
2075 
2076    Output Parameters:
2077 .  v3 - the result
2078 
2079    Notes:
2080    The vectors v1 and v3 cannot be the same.  I.e., one cannot
2081    call MatMultTransposeAdd(A,v1,v2,v1).
2082 
2083    Level: beginner
2084 
2085    Concepts: matrix vector product^transpose and addition
2086 
2087 .seealso: MatMultTranspose(), MatMultAdd(), MatMult()
2088 @*/
2089 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeAdd(Mat mat,Vec v1,Vec v2,Vec v3)
2090 {
2091   PetscErrorCode ierr;
2092 
2093   PetscFunctionBegin;
2094   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2095   PetscValidType(mat,1);
2096   PetscValidHeaderSpecific(v1,VEC_COOKIE,2);
2097   PetscValidHeaderSpecific(v2,VEC_COOKIE,3);
2098   PetscValidHeaderSpecific(v3,VEC_COOKIE,4);
2099 
2100   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2101   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2102   if (!mat->ops->multtransposeadd) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2103   if (v1 == v3) SETERRQ(PETSC_ERR_ARG_IDN,"v1 and v3 must be different vectors");
2104   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);
2105   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);
2106   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);
2107   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2108 
2109   ierr = PetscLogEventBegin(MAT_MultTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2110   ierr = (*mat->ops->multtransposeadd)(mat,v1,v2,v3);CHKERRQ(ierr);
2111   ierr = PetscLogEventEnd(MAT_MultTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2112   ierr = PetscObjectStateIncrease((PetscObject)v3);CHKERRQ(ierr);
2113   PetscFunctionReturn(0);
2114 }
2115 
2116 #undef __FUNCT__
2117 #define __FUNCT__ "MatMultHermitianTransposeAdd"
2118 /*@
2119    MatMultHermitianTransposeAdd - Computes v3 = v2 + A^H * v1.
2120 
2121    Collective on Mat and Vec
2122 
2123    Input Parameters:
2124 +  mat - the matrix
2125 -  v1, v2 - the vectors
2126 
2127    Output Parameters:
2128 .  v3 - the result
2129 
2130    Notes:
2131    The vectors v1 and v3 cannot be the same.  I.e., one cannot
2132    call MatMultHermitianTransposeAdd(A,v1,v2,v1).
2133 
2134    Level: beginner
2135 
2136    Concepts: matrix vector product^transpose and addition
2137 
2138 .seealso: MatMultHermitianTranspose(), MatMultTranspose(), MatMultAdd(), MatMult()
2139 @*/
2140 PetscErrorCode PETSCMAT_DLLEXPORT MatMultHermitianTransposeAdd(Mat mat,Vec v1,Vec v2,Vec v3)
2141 {
2142   PetscErrorCode ierr;
2143 
2144   PetscFunctionBegin;
2145   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2146   PetscValidType(mat,1);
2147   PetscValidHeaderSpecific(v1,VEC_COOKIE,2);
2148   PetscValidHeaderSpecific(v2,VEC_COOKIE,3);
2149   PetscValidHeaderSpecific(v3,VEC_COOKIE,4);
2150 
2151   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2152   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2153   if (!mat->ops->multtransposeadd) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2154   if (v1 == v3) SETERRQ(PETSC_ERR_ARG_IDN,"v1 and v3 must be different vectors");
2155   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);
2156   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);
2157   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);
2158   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2159 
2160   ierr = PetscLogEventBegin(MAT_MultHermitianTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2161   ierr = (*mat->ops->multhermitiantransposeadd)(mat,v1,v2,v3);CHKERRQ(ierr);
2162   ierr = PetscLogEventEnd(MAT_MultHermitianTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
2163   ierr = PetscObjectStateIncrease((PetscObject)v3);CHKERRQ(ierr);
2164   PetscFunctionReturn(0);
2165 }
2166 
2167 #undef __FUNCT__
2168 #define __FUNCT__ "MatMultConstrained"
2169 /*@
2170    MatMultConstrained - The inner multiplication routine for a
2171    constrained matrix P^T A P.
2172 
2173    Collective on Mat and Vec
2174 
2175    Input Parameters:
2176 +  mat - the matrix
2177 -  x   - the vector to be multilplied
2178 
2179    Output Parameters:
2180 .  y - the result
2181 
2182    Notes:
2183    The vectors x and y cannot be the same.  I.e., one cannot
2184    call MatMult(A,y,y).
2185 
2186    Level: beginner
2187 
2188 .keywords: matrix, multiply, matrix-vector product, constraint
2189 .seealso: MatMult(), MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
2190 @*/
2191 PetscErrorCode PETSCMAT_DLLEXPORT MatMultConstrained(Mat mat,Vec x,Vec y)
2192 {
2193   PetscErrorCode ierr;
2194 
2195   PetscFunctionBegin;
2196   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2197   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
2198   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
2199   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2200   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2201   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
2202   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);
2203   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);
2204   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);
2205 
2206   ierr = PetscLogEventBegin(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2207   ierr = (*mat->ops->multconstrained)(mat,x,y);CHKERRQ(ierr);
2208   ierr = PetscLogEventEnd(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2209   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
2210 
2211   PetscFunctionReturn(0);
2212 }
2213 
2214 #undef __FUNCT__
2215 #define __FUNCT__ "MatMultTransposeConstrained"
2216 /*@
2217    MatMultTransposeConstrained - The inner multiplication routine for a
2218    constrained matrix P^T A^T P.
2219 
2220    Collective on Mat and Vec
2221 
2222    Input Parameters:
2223 +  mat - the matrix
2224 -  x   - the vector to be multilplied
2225 
2226    Output Parameters:
2227 .  y - the result
2228 
2229    Notes:
2230    The vectors x and y cannot be the same.  I.e., one cannot
2231    call MatMult(A,y,y).
2232 
2233    Level: beginner
2234 
2235 .keywords: matrix, multiply, matrix-vector product, constraint
2236 .seealso: MatMult(), MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
2237 @*/
2238 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeConstrained(Mat mat,Vec x,Vec y)
2239 {
2240   PetscErrorCode ierr;
2241 
2242   PetscFunctionBegin;
2243   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2244   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
2245   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
2246   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2247   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2248   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
2249   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);
2250   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);
2251 
2252   ierr = PetscLogEventBegin(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2253   ierr = (*mat->ops->multtransposeconstrained)(mat,x,y);CHKERRQ(ierr);
2254   ierr = PetscLogEventEnd(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
2255   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
2256 
2257   PetscFunctionReturn(0);
2258 }
2259 
2260 #undef __FUNCT__
2261 #define __FUNCT__ "MatGetFactorType"
2262 /*@C
2263    MatGetFactorType - gets the type of factorization it is
2264 
2265    Note Collective
2266    as the flag
2267 
2268    Input Parameters:
2269 .  mat - the matrix
2270 
2271    Output Parameters:
2272 .  t - the type, one of MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT
2273 
2274     Level: intermediate
2275 
2276 .seealso:    MatFactorType, MatGetFactor()
2277 @*/
2278 PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactorType(Mat mat,MatFactorType *t)
2279 {
2280   PetscFunctionBegin;
2281   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2282   PetscValidType(mat,1);
2283   *t = mat->factor;
2284   PetscFunctionReturn(0);
2285 }
2286 
2287 /* ------------------------------------------------------------*/
2288 #undef __FUNCT__
2289 #define __FUNCT__ "MatGetInfo"
2290 /*@C
2291    MatGetInfo - Returns information about matrix storage (number of
2292    nonzeros, memory, etc.).
2293 
2294    Collective on Mat if MAT_GLOBAL_MAX or MAT_GLOBAL_SUM is used
2295    as the flag
2296 
2297    Input Parameters:
2298 .  mat - the matrix
2299 
2300    Output Parameters:
2301 +  flag - flag indicating the type of parameters to be returned
2302    (MAT_LOCAL - local matrix, MAT_GLOBAL_MAX - maximum over all processors,
2303    MAT_GLOBAL_SUM - sum over all processors)
2304 -  info - matrix information context
2305 
2306    Notes:
2307    The MatInfo context contains a variety of matrix data, including
2308    number of nonzeros allocated and used, number of mallocs during
2309    matrix assembly, etc.  Additional information for factored matrices
2310    is provided (such as the fill ratio, number of mallocs during
2311    factorization, etc.).  Much of this info is printed to PETSC_STDOUT
2312    when using the runtime options
2313 $       -info -mat_view_info
2314 
2315    Example for C/C++ Users:
2316    See the file ${PETSC_DIR}/include/petscmat.h for a complete list of
2317    data within the MatInfo context.  For example,
2318 .vb
2319       MatInfo info;
2320       Mat     A;
2321       double  mal, nz_a, nz_u;
2322 
2323       MatGetInfo(A,MAT_LOCAL,&info);
2324       mal  = info.mallocs;
2325       nz_a = info.nz_allocated;
2326 .ve
2327 
2328    Example for Fortran Users:
2329    Fortran users should declare info as a double precision
2330    array of dimension MAT_INFO_SIZE, and then extract the parameters
2331    of interest.  See the file ${PETSC_DIR}/include/finclude/petscmat.h
2332    a complete list of parameter names.
2333 .vb
2334       double  precision info(MAT_INFO_SIZE)
2335       double  precision mal, nz_a
2336       Mat     A
2337       integer ierr
2338 
2339       call MatGetInfo(A,MAT_LOCAL,info,ierr)
2340       mal = info(MAT_INFO_MALLOCS)
2341       nz_a = info(MAT_INFO_NZ_ALLOCATED)
2342 .ve
2343 
2344     Level: intermediate
2345 
2346     Concepts: matrices^getting information on
2347 
2348     Developer Note: fortran interface is not autogenerated as the f90
2349     interface defintion cannot be generated correctly [due to MatInfo]
2350 
2351 @*/
2352 PetscErrorCode PETSCMAT_DLLEXPORT MatGetInfo(Mat mat,MatInfoType flag,MatInfo *info)
2353 {
2354   PetscErrorCode ierr;
2355 
2356   PetscFunctionBegin;
2357   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2358   PetscValidType(mat,1);
2359   PetscValidPointer(info,3);
2360   if (!mat->ops->getinfo) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2361   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2362   ierr = (*mat->ops->getinfo)(mat,flag,info);CHKERRQ(ierr);
2363   PetscFunctionReturn(0);
2364 }
2365 
2366 /* ----------------------------------------------------------*/
2367 
2368 #undef __FUNCT__
2369 #define __FUNCT__ "MatLUFactor"
2370 /*@C
2371    MatLUFactor - Performs in-place LU factorization of matrix.
2372 
2373    Collective on Mat
2374 
2375    Input Parameters:
2376 +  mat - the matrix
2377 .  row - row permutation
2378 .  col - column permutation
2379 -  info - options for factorization, includes
2380 $          fill - expected fill as ratio of original fill.
2381 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2382 $                   Run with the option -info to determine an optimal value to use
2383 
2384    Notes:
2385    Most users should employ the simplified KSP interface for linear solvers
2386    instead of working directly with matrix algebra routines such as this.
2387    See, e.g., KSPCreate().
2388 
2389    This changes the state of the matrix to a factored matrix; it cannot be used
2390    for example with MatSetValues() unless one first calls MatSetUnfactored().
2391 
2392    Level: developer
2393 
2394    Concepts: matrices^LU factorization
2395 
2396 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(),
2397           MatGetOrdering(), MatSetUnfactored(), MatFactorInfo
2398 
2399     Developer Note: fortran interface is not autogenerated as the f90
2400     interface defintion cannot be generated correctly [due to MatFactorInfo]
2401 
2402 @*/
2403 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactor(Mat mat,IS row,IS col,const MatFactorInfo *info)
2404 {
2405   PetscErrorCode ierr;
2406 
2407   PetscFunctionBegin;
2408   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2409   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2410   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2411   PetscValidPointer(info,4);
2412   PetscValidType(mat,1);
2413   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2414   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2415   if (!mat->ops->lufactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2416   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2417 
2418   ierr = PetscLogEventBegin(MAT_LUFactor,mat,row,col,0);CHKERRQ(ierr);
2419   ierr = (*mat->ops->lufactor)(mat,row,col,info);CHKERRQ(ierr);
2420   ierr = PetscLogEventEnd(MAT_LUFactor,mat,row,col,0);CHKERRQ(ierr);
2421   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2422   PetscFunctionReturn(0);
2423 }
2424 
2425 #undef __FUNCT__
2426 #define __FUNCT__ "MatILUFactor"
2427 /*@C
2428    MatILUFactor - Performs in-place ILU factorization of matrix.
2429 
2430    Collective on Mat
2431 
2432    Input Parameters:
2433 +  mat - the matrix
2434 .  row - row permutation
2435 .  col - column permutation
2436 -  info - structure containing
2437 $      levels - number of levels of fill.
2438 $      expected fill - as ratio of original fill.
2439 $      1 or 0 - indicating force fill on diagonal (improves robustness for matrices
2440                 missing diagonal entries)
2441 
2442    Notes:
2443    Probably really in-place only when level of fill is zero, otherwise allocates
2444    new space to store factored matrix and deletes previous memory.
2445 
2446    Most users should employ the simplified KSP interface for linear solvers
2447    instead of working directly with matrix algebra routines such as this.
2448    See, e.g., KSPCreate().
2449 
2450    Level: developer
2451 
2452    Concepts: matrices^ILU factorization
2453 
2454 .seealso: MatILUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
2455 
2456     Developer Note: fortran interface is not autogenerated as the f90
2457     interface defintion cannot be generated correctly [due to MatFactorInfo]
2458 
2459 @*/
2460 PetscErrorCode PETSCMAT_DLLEXPORT MatILUFactor(Mat mat,IS row,IS col,const MatFactorInfo *info)
2461 {
2462   PetscErrorCode ierr;
2463 
2464   PetscFunctionBegin;
2465   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2466   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2467   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2468   PetscValidPointer(info,4);
2469   PetscValidType(mat,1);
2470   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
2471   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2472   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2473   if (!mat->ops->ilufactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2474   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2475 
2476   ierr = PetscLogEventBegin(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2477   ierr = (*mat->ops->ilufactor)(mat,row,col,info);CHKERRQ(ierr);
2478   ierr = PetscLogEventEnd(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2479   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2480   PetscFunctionReturn(0);
2481 }
2482 
2483 #undef __FUNCT__
2484 #define __FUNCT__ "MatLUFactorSymbolic"
2485 /*@C
2486    MatLUFactorSymbolic - Performs symbolic LU factorization of matrix.
2487    Call this routine before calling MatLUFactorNumeric().
2488 
2489    Collective on Mat
2490 
2491    Input Parameters:
2492 +  fact - the factor matrix obtained with MatGetFactor()
2493 .  mat - the matrix
2494 .  row, col - row and column permutations
2495 -  info - options for factorization, includes
2496 $          fill - expected fill as ratio of original fill.
2497 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2498 $                   Run with the option -info to determine an optimal value to use
2499 
2500 
2501    Notes:
2502    See the users manual for additional information about
2503    choosing the fill factor for better efficiency.
2504 
2505    Most users should employ the simplified KSP interface for linear solvers
2506    instead of working directly with matrix algebra routines such as this.
2507    See, e.g., KSPCreate().
2508 
2509    Level: developer
2510 
2511    Concepts: matrices^LU symbolic factorization
2512 
2513 .seealso: MatLUFactor(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
2514 
2515     Developer Note: fortran interface is not autogenerated as the f90
2516     interface defintion cannot be generated correctly [due to MatFactorInfo]
2517 
2518 @*/
2519 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactorSymbolic(Mat fact,Mat mat,IS row,IS col,const MatFactorInfo *info)
2520 {
2521   PetscErrorCode ierr;
2522 
2523   PetscFunctionBegin;
2524   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2525   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2526   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2527   PetscValidPointer(info,4);
2528   PetscValidType(mat,1);
2529   PetscValidPointer(fact,5);
2530   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2531   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2532   if (!(fact)->ops->lufactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic LU",((PetscObject)mat)->type_name);
2533   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2534 
2535   ierr = PetscLogEventBegin(MAT_LUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
2536   ierr = (fact->ops->lufactorsymbolic)(fact,mat,row,col,info);CHKERRQ(ierr);
2537   ierr = PetscLogEventEnd(MAT_LUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
2538   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2539   PetscFunctionReturn(0);
2540 }
2541 
2542 #undef __FUNCT__
2543 #define __FUNCT__ "MatLUFactorNumeric"
2544 /*@C
2545    MatLUFactorNumeric - Performs numeric LU factorization of a matrix.
2546    Call this routine after first calling MatLUFactorSymbolic().
2547 
2548    Collective on Mat
2549 
2550    Input Parameters:
2551 +  fact - the factor matrix obtained with MatGetFactor()
2552 .  mat - the matrix
2553 -  info - options for factorization
2554 
2555    Notes:
2556    See MatLUFactor() for in-place factorization.  See
2557    MatCholeskyFactorNumeric() for the symmetric, positive definite case.
2558 
2559    Most users should employ the simplified KSP interface for linear solvers
2560    instead of working directly with matrix algebra routines such as this.
2561    See, e.g., KSPCreate().
2562 
2563    Level: developer
2564 
2565    Concepts: matrices^LU numeric factorization
2566 
2567 .seealso: MatLUFactorSymbolic(), MatLUFactor(), MatCholeskyFactor()
2568 
2569     Developer Note: fortran interface is not autogenerated as the f90
2570     interface defintion cannot be generated correctly [due to MatFactorInfo]
2571 
2572 @*/
2573 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactorNumeric(Mat fact,Mat mat,const MatFactorInfo *info)
2574 {
2575   PetscErrorCode ierr;
2576 
2577   PetscFunctionBegin;
2578   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2579   PetscValidType(mat,1);
2580   PetscValidPointer(fact,2);
2581   PetscValidHeaderSpecific(fact,MAT_COOKIE,2);
2582   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2583   if (mat->rmap->N != (fact)->rmap->N || mat->cmap->N != (fact)->cmap->N) {
2584     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);
2585   }
2586   if (!(fact)->ops->lufactornumeric) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2587   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2588   ierr = PetscLogEventBegin(MAT_LUFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2589   ierr = (fact->ops->lufactornumeric)(fact,mat,info);CHKERRQ(ierr);
2590   ierr = PetscLogEventEnd(MAT_LUFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2591 
2592   ierr = MatView_Private(fact);CHKERRQ(ierr);
2593   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2594   PetscFunctionReturn(0);
2595 }
2596 
2597 #undef __FUNCT__
2598 #define __FUNCT__ "MatCholeskyFactor"
2599 /*@C
2600    MatCholeskyFactor - Performs in-place Cholesky factorization of a
2601    symmetric matrix.
2602 
2603    Collective on Mat
2604 
2605    Input Parameters:
2606 +  mat - the matrix
2607 .  perm - row and column permutations
2608 -  f - expected fill as ratio of original fill
2609 
2610    Notes:
2611    See MatLUFactor() for the nonsymmetric case.  See also
2612    MatCholeskyFactorSymbolic(), and MatCholeskyFactorNumeric().
2613 
2614    Most users should employ the simplified KSP interface for linear solvers
2615    instead of working directly with matrix algebra routines such as this.
2616    See, e.g., KSPCreate().
2617 
2618    Level: developer
2619 
2620    Concepts: matrices^Cholesky factorization
2621 
2622 .seealso: MatLUFactor(), MatCholeskyFactorSymbolic(), MatCholeskyFactorNumeric()
2623           MatGetOrdering()
2624 
2625     Developer Note: fortran interface is not autogenerated as the f90
2626     interface defintion cannot be generated correctly [due to MatFactorInfo]
2627 
2628 @*/
2629 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactor(Mat mat,IS perm,const MatFactorInfo *info)
2630 {
2631   PetscErrorCode ierr;
2632 
2633   PetscFunctionBegin;
2634   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2635   PetscValidType(mat,1);
2636   PetscValidHeaderSpecific(perm,IS_COOKIE,2);
2637   PetscValidPointer(info,3);
2638   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"Matrix must be square");
2639   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2640   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2641   if (!mat->ops->choleskyfactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2642   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2643 
2644   ierr = PetscLogEventBegin(MAT_CholeskyFactor,mat,perm,0,0);CHKERRQ(ierr);
2645   ierr = (*mat->ops->choleskyfactor)(mat,perm,info);CHKERRQ(ierr);
2646   ierr = PetscLogEventEnd(MAT_CholeskyFactor,mat,perm,0,0);CHKERRQ(ierr);
2647   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2648   PetscFunctionReturn(0);
2649 }
2650 
2651 #undef __FUNCT__
2652 #define __FUNCT__ "MatCholeskyFactorSymbolic"
2653 /*@C
2654    MatCholeskyFactorSymbolic - Performs symbolic Cholesky factorization
2655    of a symmetric matrix.
2656 
2657    Collective on Mat
2658 
2659    Input Parameters:
2660 +  fact - the factor matrix obtained with MatGetFactor()
2661 .  mat - the matrix
2662 .  perm - row and column permutations
2663 -  info - options for factorization, includes
2664 $          fill - expected fill as ratio of original fill.
2665 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2666 $                   Run with the option -info to determine an optimal value to use
2667 
2668    Notes:
2669    See MatLUFactorSymbolic() for the nonsymmetric case.  See also
2670    MatCholeskyFactor() and MatCholeskyFactorNumeric().
2671 
2672    Most users should employ the simplified KSP interface for linear solvers
2673    instead of working directly with matrix algebra routines such as this.
2674    See, e.g., KSPCreate().
2675 
2676    Level: developer
2677 
2678    Concepts: matrices^Cholesky symbolic factorization
2679 
2680 .seealso: MatLUFactorSymbolic(), MatCholeskyFactor(), MatCholeskyFactorNumeric()
2681           MatGetOrdering()
2682 
2683     Developer Note: fortran interface is not autogenerated as the f90
2684     interface defintion cannot be generated correctly [due to MatFactorInfo]
2685 
2686 @*/
2687 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactorSymbolic(Mat fact,Mat mat,IS perm,const MatFactorInfo *info)
2688 {
2689   PetscErrorCode ierr;
2690 
2691   PetscFunctionBegin;
2692   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2693   PetscValidType(mat,1);
2694   if (perm) PetscValidHeaderSpecific(perm,IS_COOKIE,2);
2695   PetscValidPointer(info,3);
2696   PetscValidPointer(fact,4);
2697   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"Matrix must be square");
2698   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2699   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2700   if (!(fact)->ops->choleskyfactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2701   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2702 
2703   ierr = PetscLogEventBegin(MAT_CholeskyFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
2704   ierr = (fact->ops->choleskyfactorsymbolic)(fact,mat,perm,info);CHKERRQ(ierr);
2705   ierr = PetscLogEventEnd(MAT_CholeskyFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
2706   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2707   PetscFunctionReturn(0);
2708 }
2709 
2710 #undef __FUNCT__
2711 #define __FUNCT__ "MatCholeskyFactorNumeric"
2712 /*@C
2713    MatCholeskyFactorNumeric - Performs numeric Cholesky factorization
2714    of a symmetric matrix. Call this routine after first calling
2715    MatCholeskyFactorSymbolic().
2716 
2717    Collective on Mat
2718 
2719    Input Parameters:
2720 +  fact - the factor matrix obtained with MatGetFactor()
2721 .  mat - the initial matrix
2722 .  info - options for factorization
2723 -  fact - the symbolic factor of mat
2724 
2725 
2726    Notes:
2727    Most users should employ the simplified KSP interface for linear solvers
2728    instead of working directly with matrix algebra routines such as this.
2729    See, e.g., KSPCreate().
2730 
2731    Level: developer
2732 
2733    Concepts: matrices^Cholesky numeric factorization
2734 
2735 .seealso: MatCholeskyFactorSymbolic(), MatCholeskyFactor(), MatLUFactorNumeric()
2736 
2737     Developer Note: fortran interface is not autogenerated as the f90
2738     interface defintion cannot be generated correctly [due to MatFactorInfo]
2739 
2740 @*/
2741 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactorNumeric(Mat fact,Mat mat,const MatFactorInfo *info)
2742 {
2743   PetscErrorCode ierr;
2744 
2745   PetscFunctionBegin;
2746   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2747   PetscValidType(mat,1);
2748   PetscValidPointer(fact,2);
2749   PetscValidHeaderSpecific(fact,MAT_COOKIE,2);
2750   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2751   if (!(fact)->ops->choleskyfactornumeric) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2752   if (mat->rmap->N != (fact)->rmap->N || mat->cmap->N != (fact)->cmap->N) {
2753     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);
2754   }
2755   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2756 
2757   ierr = PetscLogEventBegin(MAT_CholeskyFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2758   ierr = (fact->ops->choleskyfactornumeric)(fact,mat,info);CHKERRQ(ierr);
2759   ierr = PetscLogEventEnd(MAT_CholeskyFactorNumeric,mat,fact,0,0);CHKERRQ(ierr);
2760 
2761   ierr = MatView_Private(fact);CHKERRQ(ierr);
2762   ierr = PetscObjectStateIncrease((PetscObject)fact);CHKERRQ(ierr);
2763   PetscFunctionReturn(0);
2764 }
2765 
2766 /* ----------------------------------------------------------------*/
2767 #undef __FUNCT__
2768 #define __FUNCT__ "MatSolve"
2769 /*@
2770    MatSolve - Solves A x = b, given a factored matrix.
2771 
2772    Collective on Mat and Vec
2773 
2774    Input Parameters:
2775 +  mat - the factored matrix
2776 -  b - the right-hand-side vector
2777 
2778    Output Parameter:
2779 .  x - the result vector
2780 
2781    Notes:
2782    The vectors b and x cannot be the same.  I.e., one cannot
2783    call MatSolve(A,x,x).
2784 
2785    Notes:
2786    Most users should employ the simplified KSP interface for linear solvers
2787    instead of working directly with matrix algebra routines such as this.
2788    See, e.g., KSPCreate().
2789 
2790    Level: developer
2791 
2792    Concepts: matrices^triangular solves
2793 
2794 .seealso: MatSolveAdd(), MatSolveTranspose(), MatSolveTransposeAdd()
2795 @*/
2796 PetscErrorCode PETSCMAT_DLLEXPORT MatSolve(Mat mat,Vec b,Vec x)
2797 {
2798   PetscErrorCode ierr;
2799 
2800   PetscFunctionBegin;
2801   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2802   PetscValidType(mat,1);
2803   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2804   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2805   PetscCheckSameComm(mat,1,b,2);
2806   PetscCheckSameComm(mat,1,x,3);
2807   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2808   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2809   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);
2810   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);
2811   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);
2812   if (!mat->rmap->N && !mat->cmap->N) PetscFunctionReturn(0);
2813   if (!mat->ops->solve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2814   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2815 
2816   ierr = PetscLogEventBegin(MAT_Solve,mat,b,x,0);CHKERRQ(ierr);
2817   ierr = (*mat->ops->solve)(mat,b,x);CHKERRQ(ierr);
2818   ierr = PetscLogEventEnd(MAT_Solve,mat,b,x,0);CHKERRQ(ierr);
2819   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2820   PetscFunctionReturn(0);
2821 }
2822 
2823 #undef __FUNCT__
2824 #define __FUNCT__ "MatMatSolve_Basic"
2825 PetscErrorCode PETSCMAT_DLLEXPORT MatMatSolve_Basic(Mat A,Mat B,Mat X)
2826 {
2827   PetscErrorCode ierr;
2828   Vec            b,x;
2829   PetscInt       m,N,i;
2830   PetscScalar    *bb,*xx;
2831 
2832   PetscFunctionBegin;
2833   ierr = MatGetArray(B,&bb);CHKERRQ(ierr);
2834   ierr = MatGetArray(X,&xx);CHKERRQ(ierr);
2835   ierr = MatGetLocalSize(B,&m,PETSC_NULL);CHKERRQ(ierr);  /* number local rows */
2836   ierr = MatGetSize(B,PETSC_NULL,&N);CHKERRQ(ierr);       /* total columns in dense matrix */
2837   ierr = MatGetVecs(A,&x,&b);CHKERRQ(ierr);
2838   for (i=0; i<N; i++) {
2839     ierr = VecPlaceArray(b,bb + i*m);CHKERRQ(ierr);
2840     ierr = VecPlaceArray(x,xx + i*m);CHKERRQ(ierr);
2841     ierr = MatSolve(A,b,x);CHKERRQ(ierr);
2842     ierr = VecResetArray(x);CHKERRQ(ierr);
2843     ierr = VecResetArray(b);CHKERRQ(ierr);
2844   }
2845   ierr = VecDestroy(b);CHKERRQ(ierr);
2846   ierr = VecDestroy(x);CHKERRQ(ierr);
2847   ierr = MatRestoreArray(B,&bb);CHKERRQ(ierr);
2848   ierr = MatRestoreArray(X,&xx);CHKERRQ(ierr);
2849   PetscFunctionReturn(0);
2850 }
2851 
2852 #undef __FUNCT__
2853 #define __FUNCT__ "MatMatSolve"
2854 /*@
2855    MatMatSolve - Solves A X = B, given a factored matrix.
2856 
2857    Collective on Mat
2858 
2859    Input Parameters:
2860 +  mat - the factored matrix
2861 -  B - the right-hand-side matrix  (dense matrix)
2862 
2863    Output Parameter:
2864 .  X - the result matrix (dense matrix)
2865 
2866    Notes:
2867    The matrices b and x cannot be the same.  I.e., one cannot
2868    call MatMatSolve(A,x,x).
2869 
2870    Notes:
2871    Most users should usually employ the simplified KSP interface for linear solvers
2872    instead of working directly with matrix algebra routines such as this.
2873    See, e.g., KSPCreate(). However KSP can only solve for one vector (column of X)
2874    at a time.
2875 
2876    Level: developer
2877 
2878    Concepts: matrices^triangular solves
2879 
2880 .seealso: MatMatSolveAdd(), MatMatSolveTranspose(), MatMatSolveTransposeAdd(), MatLUFactor(), MatCholeskyFactor()
2881 @*/
2882 PetscErrorCode PETSCMAT_DLLEXPORT MatMatSolve(Mat A,Mat B,Mat X)
2883 {
2884   PetscErrorCode ierr;
2885 
2886   PetscFunctionBegin;
2887   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
2888   PetscValidType(A,1);
2889   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
2890   PetscValidHeaderSpecific(X,MAT_COOKIE,3);
2891   PetscCheckSameComm(A,1,B,2);
2892   PetscCheckSameComm(A,1,X,3);
2893   if (X == B) SETERRQ(PETSC_ERR_ARG_IDN,"X and B must be different matrices");
2894   if (!A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2895   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);
2896   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);
2897   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);
2898   if (!A->rmap->N && !A->cmap->N) PetscFunctionReturn(0);
2899   ierr = MatPreallocated(A);CHKERRQ(ierr);
2900 
2901   ierr = PetscLogEventBegin(MAT_MatSolve,A,B,X,0);CHKERRQ(ierr);
2902   if (!A->ops->matsolve) {
2903     ierr = PetscInfo1(A,"Mat type %s using basic MatMatSolve",((PetscObject)A)->type_name);CHKERRQ(ierr);
2904     ierr = MatMatSolve_Basic(A,B,X);CHKERRQ(ierr);
2905   } else {
2906     ierr = (*A->ops->matsolve)(A,B,X);CHKERRQ(ierr);
2907   }
2908   ierr = PetscLogEventEnd(MAT_MatSolve,A,B,X,0);CHKERRQ(ierr);
2909   ierr = PetscObjectStateIncrease((PetscObject)X);CHKERRQ(ierr);
2910   PetscFunctionReturn(0);
2911 }
2912 
2913 
2914 #undef __FUNCT__
2915 #define __FUNCT__ "MatForwardSolve"
2916 /*@
2917    MatForwardSolve - Solves L x = b, given a factored matrix, A = LU, or
2918                             U^T*D^(1/2) x = b, given a factored symmetric matrix, A = U^T*D*U,
2919 
2920    Collective on Mat and Vec
2921 
2922    Input Parameters:
2923 +  mat - the factored matrix
2924 -  b - the right-hand-side vector
2925 
2926    Output Parameter:
2927 .  x - the result vector
2928 
2929    Notes:
2930    MatSolve() should be used for most applications, as it performs
2931    a forward solve followed by a backward solve.
2932 
2933    The vectors b and x cannot be the same,  i.e., one cannot
2934    call MatForwardSolve(A,x,x).
2935 
2936    For matrix in seqsbaij format with block size larger than 1,
2937    the diagonal blocks are not implemented as D = D^(1/2) * D^(1/2) yet.
2938    MatForwardSolve() solves U^T*D y = b, and
2939    MatBackwardSolve() solves U x = y.
2940    Thus they do not provide a symmetric preconditioner.
2941 
2942    Most users should employ the simplified KSP interface for linear solvers
2943    instead of working directly with matrix algebra routines such as this.
2944    See, e.g., KSPCreate().
2945 
2946    Level: developer
2947 
2948    Concepts: matrices^forward solves
2949 
2950 .seealso: MatSolve(), MatBackwardSolve()
2951 @*/
2952 PetscErrorCode PETSCMAT_DLLEXPORT MatForwardSolve(Mat mat,Vec b,Vec x)
2953 {
2954   PetscErrorCode ierr;
2955 
2956   PetscFunctionBegin;
2957   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2958   PetscValidType(mat,1);
2959   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2960   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2961   PetscCheckSameComm(mat,1,b,2);
2962   PetscCheckSameComm(mat,1,x,3);
2963   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2964   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2965   if (!mat->ops->forwardsolve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
2966   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);
2967   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);
2968   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);
2969   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2970   ierr = PetscLogEventBegin(MAT_ForwardSolve,mat,b,x,0);CHKERRQ(ierr);
2971   ierr = (*mat->ops->forwardsolve)(mat,b,x);CHKERRQ(ierr);
2972   ierr = PetscLogEventEnd(MAT_ForwardSolve,mat,b,x,0);CHKERRQ(ierr);
2973   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2974   PetscFunctionReturn(0);
2975 }
2976 
2977 #undef __FUNCT__
2978 #define __FUNCT__ "MatBackwardSolve"
2979 /*@
2980    MatBackwardSolve - Solves U x = b, given a factored matrix, A = LU.
2981                              D^(1/2) U x = b, given a factored symmetric matrix, A = U^T*D*U,
2982 
2983    Collective on Mat and Vec
2984 
2985    Input Parameters:
2986 +  mat - the factored matrix
2987 -  b - the right-hand-side vector
2988 
2989    Output Parameter:
2990 .  x - the result vector
2991 
2992    Notes:
2993    MatSolve() should be used for most applications, as it performs
2994    a forward solve followed by a backward solve.
2995 
2996    The vectors b and x cannot be the same.  I.e., one cannot
2997    call MatBackwardSolve(A,x,x).
2998 
2999    For matrix in seqsbaij format with block size larger than 1,
3000    the diagonal blocks are not implemented as D = D^(1/2) * D^(1/2) yet.
3001    MatForwardSolve() solves U^T*D y = b, and
3002    MatBackwardSolve() solves U x = y.
3003    Thus they do not provide a symmetric preconditioner.
3004 
3005    Most users should employ the simplified KSP interface for linear solvers
3006    instead of working directly with matrix algebra routines such as this.
3007    See, e.g., KSPCreate().
3008 
3009    Level: developer
3010 
3011    Concepts: matrices^backward solves
3012 
3013 .seealso: MatSolve(), MatForwardSolve()
3014 @*/
3015 PetscErrorCode PETSCMAT_DLLEXPORT MatBackwardSolve(Mat mat,Vec b,Vec x)
3016 {
3017   PetscErrorCode ierr;
3018 
3019   PetscFunctionBegin;
3020   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3021   PetscValidType(mat,1);
3022   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
3023   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
3024   PetscCheckSameComm(mat,1,b,2);
3025   PetscCheckSameComm(mat,1,x,3);
3026   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3027   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3028   if (!mat->ops->backwardsolve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3029   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);
3030   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);
3031   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);
3032   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3033 
3034   ierr = PetscLogEventBegin(MAT_BackwardSolve,mat,b,x,0);CHKERRQ(ierr);
3035   ierr = (*mat->ops->backwardsolve)(mat,b,x);CHKERRQ(ierr);
3036   ierr = PetscLogEventEnd(MAT_BackwardSolve,mat,b,x,0);CHKERRQ(ierr);
3037   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3038   PetscFunctionReturn(0);
3039 }
3040 
3041 #undef __FUNCT__
3042 #define __FUNCT__ "MatSolveAdd"
3043 /*@
3044    MatSolveAdd - Computes x = y + inv(A)*b, given a factored matrix.
3045 
3046    Collective on Mat and Vec
3047 
3048    Input Parameters:
3049 +  mat - the factored matrix
3050 .  b - the right-hand-side vector
3051 -  y - the vector to be added to
3052 
3053    Output Parameter:
3054 .  x - the result vector
3055 
3056    Notes:
3057    The vectors b and x cannot be the same.  I.e., one cannot
3058    call MatSolveAdd(A,x,y,x).
3059 
3060    Most users should employ the simplified KSP interface for linear solvers
3061    instead of working directly with matrix algebra routines such as this.
3062    See, e.g., KSPCreate().
3063 
3064    Level: developer
3065 
3066    Concepts: matrices^triangular solves
3067 
3068 .seealso: MatSolve(), MatSolveTranspose(), MatSolveTransposeAdd()
3069 @*/
3070 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveAdd(Mat mat,Vec b,Vec y,Vec x)
3071 {
3072   PetscScalar    one = 1.0;
3073   Vec            tmp;
3074   PetscErrorCode ierr;
3075 
3076   PetscFunctionBegin;
3077   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3078   PetscValidType(mat,1);
3079   PetscValidHeaderSpecific(y,VEC_COOKIE,2);
3080   PetscValidHeaderSpecific(b,VEC_COOKIE,3);
3081   PetscValidHeaderSpecific(x,VEC_COOKIE,4);
3082   PetscCheckSameComm(mat,1,b,2);
3083   PetscCheckSameComm(mat,1,y,2);
3084   PetscCheckSameComm(mat,1,x,3);
3085   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3086   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3087   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);
3088   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);
3089   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);
3090   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);
3091   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);
3092   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3093 
3094   ierr = PetscLogEventBegin(MAT_SolveAdd,mat,b,x,y);CHKERRQ(ierr);
3095   if (mat->ops->solveadd)  {
3096     ierr = (*mat->ops->solveadd)(mat,b,y,x);CHKERRQ(ierr);
3097   } else {
3098     /* do the solve then the add manually */
3099     if (x != y) {
3100       ierr = MatSolve(mat,b,x);CHKERRQ(ierr);
3101       ierr = VecAXPY(x,one,y);CHKERRQ(ierr);
3102     } else {
3103       ierr = VecDuplicate(x,&tmp);CHKERRQ(ierr);
3104       ierr = PetscLogObjectParent(mat,tmp);CHKERRQ(ierr);
3105       ierr = VecCopy(x,tmp);CHKERRQ(ierr);
3106       ierr = MatSolve(mat,b,x);CHKERRQ(ierr);
3107       ierr = VecAXPY(x,one,tmp);CHKERRQ(ierr);
3108       ierr = VecDestroy(tmp);CHKERRQ(ierr);
3109     }
3110   }
3111   ierr = PetscLogEventEnd(MAT_SolveAdd,mat,b,x,y);CHKERRQ(ierr);
3112   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3113   PetscFunctionReturn(0);
3114 }
3115 
3116 #undef __FUNCT__
3117 #define __FUNCT__ "MatSolveTranspose"
3118 /*@
3119    MatSolveTranspose - Solves A' x = b, given a factored matrix.
3120 
3121    Collective on Mat and Vec
3122 
3123    Input Parameters:
3124 +  mat - the factored matrix
3125 -  b - the right-hand-side vector
3126 
3127    Output Parameter:
3128 .  x - the result vector
3129 
3130    Notes:
3131    The vectors b and x cannot be the same.  I.e., one cannot
3132    call MatSolveTranspose(A,x,x).
3133 
3134    Most users should employ the simplified KSP interface for linear solvers
3135    instead of working directly with matrix algebra routines such as this.
3136    See, e.g., KSPCreate().
3137 
3138    Level: developer
3139 
3140    Concepts: matrices^triangular solves
3141 
3142 .seealso: MatSolve(), MatSolveAdd(), MatSolveTransposeAdd()
3143 @*/
3144 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveTranspose(Mat mat,Vec b,Vec x)
3145 {
3146   PetscErrorCode ierr;
3147 
3148   PetscFunctionBegin;
3149   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3150   PetscValidType(mat,1);
3151   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
3152   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
3153   PetscCheckSameComm(mat,1,b,2);
3154   PetscCheckSameComm(mat,1,x,3);
3155   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3156   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3157   if (!mat->ops->solvetranspose) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s",((PetscObject)mat)->type_name);
3158   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);
3159   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);
3160   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3161   ierr = PetscLogEventBegin(MAT_SolveTranspose,mat,b,x,0);CHKERRQ(ierr);
3162   ierr = (*mat->ops->solvetranspose)(mat,b,x);CHKERRQ(ierr);
3163   ierr = PetscLogEventEnd(MAT_SolveTranspose,mat,b,x,0);CHKERRQ(ierr);
3164   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3165   PetscFunctionReturn(0);
3166 }
3167 
3168 #undef __FUNCT__
3169 #define __FUNCT__ "MatSolveTransposeAdd"
3170 /*@
3171    MatSolveTransposeAdd - Computes x = y + inv(Transpose(A)) b, given a
3172                       factored matrix.
3173 
3174    Collective on Mat and Vec
3175 
3176    Input Parameters:
3177 +  mat - the factored matrix
3178 .  b - the right-hand-side vector
3179 -  y - the vector to be added to
3180 
3181    Output Parameter:
3182 .  x - the result vector
3183 
3184    Notes:
3185    The vectors b and x cannot be the same.  I.e., one cannot
3186    call MatSolveTransposeAdd(A,x,y,x).
3187 
3188    Most users should employ the simplified KSP interface for linear solvers
3189    instead of working directly with matrix algebra routines such as this.
3190    See, e.g., KSPCreate().
3191 
3192    Level: developer
3193 
3194    Concepts: matrices^triangular solves
3195 
3196 .seealso: MatSolve(), MatSolveAdd(), MatSolveTranspose()
3197 @*/
3198 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveTransposeAdd(Mat mat,Vec b,Vec y,Vec x)
3199 {
3200   PetscScalar    one = 1.0;
3201   PetscErrorCode ierr;
3202   Vec            tmp;
3203 
3204   PetscFunctionBegin;
3205   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3206   PetscValidType(mat,1);
3207   PetscValidHeaderSpecific(y,VEC_COOKIE,2);
3208   PetscValidHeaderSpecific(b,VEC_COOKIE,3);
3209   PetscValidHeaderSpecific(x,VEC_COOKIE,4);
3210   PetscCheckSameComm(mat,1,b,2);
3211   PetscCheckSameComm(mat,1,y,3);
3212   PetscCheckSameComm(mat,1,x,4);
3213   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
3214   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
3215   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);
3216   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);
3217   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);
3218   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);
3219   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3220 
3221   ierr = PetscLogEventBegin(MAT_SolveTransposeAdd,mat,b,x,y);CHKERRQ(ierr);
3222   if (mat->ops->solvetransposeadd) {
3223     ierr = (*mat->ops->solvetransposeadd)(mat,b,y,x);CHKERRQ(ierr);
3224   } else {
3225     /* do the solve then the add manually */
3226     if (x != y) {
3227       ierr = MatSolveTranspose(mat,b,x);CHKERRQ(ierr);
3228       ierr = VecAXPY(x,one,y);CHKERRQ(ierr);
3229     } else {
3230       ierr = VecDuplicate(x,&tmp);CHKERRQ(ierr);
3231       ierr = PetscLogObjectParent(mat,tmp);CHKERRQ(ierr);
3232       ierr = VecCopy(x,tmp);CHKERRQ(ierr);
3233       ierr = MatSolveTranspose(mat,b,x);CHKERRQ(ierr);
3234       ierr = VecAXPY(x,one,tmp);CHKERRQ(ierr);
3235       ierr = VecDestroy(tmp);CHKERRQ(ierr);
3236     }
3237   }
3238   ierr = PetscLogEventEnd(MAT_SolveTransposeAdd,mat,b,x,y);CHKERRQ(ierr);
3239   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3240   PetscFunctionReturn(0);
3241 }
3242 /* ----------------------------------------------------------------*/
3243 
3244 #undef __FUNCT__
3245 #define __FUNCT__ "MatSOR"
3246 /*@
3247    MatSOR - Computes relaxation (SOR, Gauss-Seidel) sweeps.
3248 
3249    Collective on Mat and Vec
3250 
3251    Input Parameters:
3252 +  mat - the matrix
3253 .  b - the right hand side
3254 .  omega - the relaxation factor
3255 .  flag - flag indicating the type of SOR (see below)
3256 .  shift -  diagonal shift
3257 .  its - the number of iterations
3258 -  lits - the number of local iterations
3259 
3260    Output Parameters:
3261 .  x - the solution (can contain an initial guess, use option SOR_ZERO_INITIAL_GUESS to indicate no guess)
3262 
3263    SOR Flags:
3264 .     SOR_FORWARD_SWEEP - forward SOR
3265 .     SOR_BACKWARD_SWEEP - backward SOR
3266 .     SOR_SYMMETRIC_SWEEP - SSOR (symmetric SOR)
3267 .     SOR_LOCAL_FORWARD_SWEEP - local forward SOR
3268 .     SOR_LOCAL_BACKWARD_SWEEP - local forward SOR
3269 .     SOR_LOCAL_SYMMETRIC_SWEEP - local SSOR
3270 .     SOR_APPLY_UPPER, SOR_APPLY_LOWER - applies
3271          upper/lower triangular part of matrix to
3272          vector (with omega)
3273 .     SOR_ZERO_INITIAL_GUESS - zero initial guess
3274 
3275    Notes:
3276    SOR_LOCAL_FORWARD_SWEEP, SOR_LOCAL_BACKWARD_SWEEP, and
3277    SOR_LOCAL_SYMMETRIC_SWEEP perform separate independent smoothings
3278    on each processor.
3279 
3280    Application programmers will not generally use MatSOR() directly,
3281    but instead will employ the KSP/PC interface.
3282 
3283    Notes: for BAIJ, SBAIJ, and AIJ matrices with Inodes this does a block SOR smoothing, otherwise it does a pointwise smoothing
3284 
3285    Notes for Advanced Users:
3286    The flags are implemented as bitwise inclusive or operations.
3287    For example, use (SOR_ZERO_INITIAL_GUESS | SOR_SYMMETRIC_SWEEP)
3288    to specify a zero initial guess for SSOR.
3289 
3290    Most users should employ the simplified KSP interface for linear solvers
3291    instead of working directly with matrix algebra routines such as this.
3292    See, e.g., KSPCreate().
3293 
3294 
3295    Level: developer
3296 
3297    Concepts: matrices^relaxation
3298    Concepts: matrices^SOR
3299    Concepts: matrices^Gauss-Seidel
3300 
3301 @*/
3302 PetscErrorCode PETSCMAT_DLLEXPORT MatSOR(Mat mat,Vec b,PetscReal omega,MatSORType flag,PetscReal shift,PetscInt its,PetscInt lits,Vec x)
3303 {
3304   PetscErrorCode ierr;
3305 
3306   PetscFunctionBegin;
3307   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3308   PetscValidType(mat,1);
3309   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
3310   PetscValidHeaderSpecific(x,VEC_COOKIE,8);
3311   PetscCheckSameComm(mat,1,b,2);
3312   PetscCheckSameComm(mat,1,x,8);
3313   if (!mat->ops->sor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3314   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3315   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3316   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);
3317   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);
3318   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);
3319   if (its <= 0) SETERRQ1(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D positive",its);
3320   if (lits <= 0) SETERRQ1(PETSC_ERR_ARG_WRONG,"Relaxation requires local its %D positive",lits);
3321 
3322   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3323   ierr = PetscLogEventBegin(MAT_SOR,mat,b,x,0);CHKERRQ(ierr);
3324   ierr =(*mat->ops->sor)(mat,b,omega,flag,shift,its,lits,x);CHKERRQ(ierr);
3325   ierr = PetscLogEventEnd(MAT_SOR,mat,b,x,0);CHKERRQ(ierr);
3326   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
3327   PetscFunctionReturn(0);
3328 }
3329 
3330 #undef __FUNCT__
3331 #define __FUNCT__ "MatCopy_Basic"
3332 /*
3333       Default matrix copy routine.
3334 */
3335 PetscErrorCode MatCopy_Basic(Mat A,Mat B,MatStructure str)
3336 {
3337   PetscErrorCode    ierr;
3338   PetscInt          i,rstart = 0,rend = 0,nz;
3339   const PetscInt    *cwork;
3340   const PetscScalar *vwork;
3341 
3342   PetscFunctionBegin;
3343   if (B->assembled) {
3344     ierr = MatZeroEntries(B);CHKERRQ(ierr);
3345   }
3346   ierr = MatGetOwnershipRange(A,&rstart,&rend);CHKERRQ(ierr);
3347   for (i=rstart; i<rend; i++) {
3348     ierr = MatGetRow(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
3349     ierr = MatSetValues(B,1,&i,nz,cwork,vwork,INSERT_VALUES);CHKERRQ(ierr);
3350     ierr = MatRestoreRow(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
3351   }
3352   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3353   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3354   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3355   PetscFunctionReturn(0);
3356 }
3357 
3358 #undef __FUNCT__
3359 #define __FUNCT__ "MatCopy"
3360 /*@
3361    MatCopy - Copys a matrix to another matrix.
3362 
3363    Collective on Mat
3364 
3365    Input Parameters:
3366 +  A - the matrix
3367 -  str - SAME_NONZERO_PATTERN or DIFFERENT_NONZERO_PATTERN
3368 
3369    Output Parameter:
3370 .  B - where the copy is put
3371 
3372    Notes:
3373    If you use SAME_NONZERO_PATTERN then the two matrices had better have the
3374    same nonzero pattern or the routine will crash.
3375 
3376    MatCopy() copies the matrix entries of a matrix to another existing
3377    matrix (after first zeroing the second matrix).  A related routine is
3378    MatConvert(), which first creates a new matrix and then copies the data.
3379 
3380    Level: intermediate
3381 
3382    Concepts: matrices^copying
3383 
3384 .seealso: MatConvert(), MatDuplicate()
3385 
3386 @*/
3387 PetscErrorCode PETSCMAT_DLLEXPORT MatCopy(Mat A,Mat B,MatStructure str)
3388 {
3389   PetscErrorCode ierr;
3390   PetscInt       i;
3391 
3392   PetscFunctionBegin;
3393   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
3394   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
3395   PetscValidType(A,1);
3396   PetscValidType(B,2);
3397   PetscCheckSameComm(A,1,B,2);
3398   ierr = MatPreallocated(B);CHKERRQ(ierr);
3399   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3400   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3401   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);
3402   ierr = MatPreallocated(A);CHKERRQ(ierr);
3403 
3404   ierr = PetscLogEventBegin(MAT_Copy,A,B,0,0);CHKERRQ(ierr);
3405   if (A->ops->copy) {
3406     ierr = (*A->ops->copy)(A,B,str);CHKERRQ(ierr);
3407   } else { /* generic conversion */
3408     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
3409   }
3410   if (A->mapping) {
3411     if (B->mapping) {ierr = ISLocalToGlobalMappingDestroy(B->mapping);CHKERRQ(ierr);B->mapping = 0;}
3412     ierr = MatSetLocalToGlobalMapping(B,A->mapping);CHKERRQ(ierr);
3413   }
3414   if (A->bmapping) {
3415     if (B->bmapping) {ierr = ISLocalToGlobalMappingDestroy(B->bmapping);CHKERRQ(ierr);B->bmapping = 0;}
3416     ierr = MatSetLocalToGlobalMappingBlock(B,A->mapping);CHKERRQ(ierr);
3417   }
3418 
3419   B->stencil.dim = A->stencil.dim;
3420   B->stencil.noc = A->stencil.noc;
3421   for (i=0; i<=A->stencil.dim; i++) {
3422     B->stencil.dims[i]   = A->stencil.dims[i];
3423     B->stencil.starts[i] = A->stencil.starts[i];
3424   }
3425 
3426   ierr = PetscLogEventEnd(MAT_Copy,A,B,0,0);CHKERRQ(ierr);
3427   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3428   PetscFunctionReturn(0);
3429 }
3430 
3431 #undef __FUNCT__
3432 #define __FUNCT__ "MatConvert"
3433 /*@C
3434    MatConvert - Converts a matrix to another matrix, either of the same
3435    or different type.
3436 
3437    Collective on Mat
3438 
3439    Input Parameters:
3440 +  mat - the matrix
3441 .  newtype - new matrix type.  Use MATSAME to create a new matrix of the
3442    same type as the original matrix.
3443 -  reuse - denotes if the destination matrix is to be created or reused.  Currently
3444    MAT_REUSE_MATRIX is only supported for inplace conversion, otherwise use
3445    MAT_INITIAL_MATRIX.
3446 
3447    Output Parameter:
3448 .  M - pointer to place new matrix
3449 
3450    Notes:
3451    MatConvert() first creates a new matrix and then copies the data from
3452    the first matrix.  A related routine is MatCopy(), which copies the matrix
3453    entries of one matrix to another already existing matrix context.
3454 
3455    Cannot be used to convert a sequential matrix to parallel or parallel to sequential,
3456    the MPI communicator of the generated matrix is always the same as the communicator
3457    of the input matrix.
3458 
3459    Level: intermediate
3460 
3461    Concepts: matrices^converting between storage formats
3462 
3463 .seealso: MatCopy(), MatDuplicate()
3464 @*/
3465 PetscErrorCode PETSCMAT_DLLEXPORT MatConvert(Mat mat, const MatType newtype,MatReuse reuse,Mat *M)
3466 {
3467   PetscErrorCode         ierr;
3468   PetscTruth             sametype,issame,flg;
3469   char                   convname[256],mtype[256];
3470   Mat                    B;
3471 
3472   PetscFunctionBegin;
3473   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3474   PetscValidType(mat,1);
3475   PetscValidPointer(M,3);
3476   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3477   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3478   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3479 
3480   ierr = PetscOptionsGetString(((PetscObject)mat)->prefix,"-matconvert_type",mtype,256,&flg);CHKERRQ(ierr);
3481   if (flg) {
3482     newtype = mtype;
3483   }
3484   ierr = PetscTypeCompare((PetscObject)mat,newtype,&sametype);CHKERRQ(ierr);
3485   ierr = PetscStrcmp(newtype,"same",&issame);CHKERRQ(ierr);
3486   if ((reuse == MAT_REUSE_MATRIX) && (mat != *M)) {
3487     SETERRQ(PETSC_ERR_SUP,"MAT_REUSE_MATRIX only supported for in-place conversion currently");
3488   }
3489 
3490   if ((reuse == MAT_REUSE_MATRIX) && (issame || sametype)) PetscFunctionReturn(0);
3491 
3492   if ((sametype || issame) && (reuse==MAT_INITIAL_MATRIX) && mat->ops->duplicate) {
3493     ierr = (*mat->ops->duplicate)(mat,MAT_COPY_VALUES,M);CHKERRQ(ierr);
3494   } else {
3495     PetscErrorCode (*conv)(Mat, const MatType,MatReuse,Mat*)=PETSC_NULL;
3496     const char     *prefix[3] = {"seq","mpi",""};
3497     PetscInt       i;
3498     /*
3499        Order of precedence:
3500        1) See if a specialized converter is known to the current matrix.
3501        2) See if a specialized converter is known to the desired matrix class.
3502        3) See if a good general converter is registered for the desired class
3503           (as of 6/27/03 only MATMPIADJ falls into this category).
3504        4) See if a good general converter is known for the current matrix.
3505        5) Use a really basic converter.
3506     */
3507 
3508     /* 1) See if a specialized converter is known to the current matrix and the desired class */
3509     for (i=0; i<3; i++) {
3510       ierr = PetscStrcpy(convname,"MatConvert_");CHKERRQ(ierr);
3511       ierr = PetscStrcat(convname,((PetscObject)mat)->type_name);CHKERRQ(ierr);
3512       ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
3513       ierr = PetscStrcat(convname,prefix[i]);CHKERRQ(ierr);
3514       ierr = PetscStrcat(convname,newtype);CHKERRQ(ierr);
3515       ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3516       ierr = PetscObjectQueryFunction((PetscObject)mat,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3517       if (conv) goto foundconv;
3518     }
3519 
3520     /* 2)  See if a specialized converter is known to the desired matrix class. */
3521     ierr = MatCreate(((PetscObject)mat)->comm,&B);CHKERRQ(ierr);
3522     ierr = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->N,mat->cmap->N);CHKERRQ(ierr);
3523     ierr = MatSetType(B,newtype);CHKERRQ(ierr);
3524     for (i=0; i<3; i++) {
3525       ierr = PetscStrcpy(convname,"MatConvert_");CHKERRQ(ierr);
3526       ierr = PetscStrcat(convname,((PetscObject)mat)->type_name);CHKERRQ(ierr);
3527       ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
3528       ierr = PetscStrcat(convname,prefix[i]);CHKERRQ(ierr);
3529       ierr = PetscStrcat(convname,newtype);CHKERRQ(ierr);
3530       ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3531       ierr = PetscObjectQueryFunction((PetscObject)B,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3532       if (conv) {
3533         ierr = MatDestroy(B);CHKERRQ(ierr);
3534         goto foundconv;
3535       }
3536     }
3537 
3538     /* 3) See if a good general converter is registered for the desired class */
3539     conv = B->ops->convertfrom;
3540     ierr = MatDestroy(B);CHKERRQ(ierr);
3541     if (conv) goto foundconv;
3542 
3543     /* 4) See if a good general converter is known for the current matrix */
3544     if (mat->ops->convert) {
3545       conv = mat->ops->convert;
3546     }
3547     if (conv) goto foundconv;
3548 
3549     /* 5) Use a really basic converter. */
3550     conv = MatConvert_Basic;
3551 
3552     foundconv:
3553     ierr = PetscLogEventBegin(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3554     ierr = (*conv)(mat,newtype,reuse,M);CHKERRQ(ierr);
3555     ierr = PetscLogEventEnd(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3556   }
3557   ierr = PetscObjectStateIncrease((PetscObject)*M);CHKERRQ(ierr);
3558   PetscFunctionReturn(0);
3559 }
3560 
3561 #undef __FUNCT__
3562 #define __FUNCT__ "MatFactorGetSolverPackage"
3563 /*@C
3564    MatFactorGetSolverPackage - Returns name of the package providing the factorization routines
3565 
3566    Not Collective
3567 
3568    Input Parameter:
3569 .  mat - the matrix, must be a factored matrix
3570 
3571    Output Parameter:
3572 .   type - the string name of the package (do not free this string)
3573 
3574    Notes:
3575       In Fortran you pass in a empty string and the package name will be copied into it.
3576     (Make sure the string is long enough)
3577 
3578    Level: intermediate
3579 
3580 .seealso: MatCopy(), MatDuplicate(), MatGetFactorAvailable(), MatGetFactor()
3581 @*/
3582 PetscErrorCode PETSCMAT_DLLEXPORT MatFactorGetSolverPackage(Mat mat, const MatSolverPackage *type)
3583 {
3584   PetscErrorCode         ierr;
3585   PetscErrorCode         (*conv)(Mat,const MatSolverPackage*);
3586 
3587   PetscFunctionBegin;
3588   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3589   PetscValidType(mat,1);
3590   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Only for factored matrix");
3591   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatFactorGetSolverPackage_C",(void (**)(void))&conv);CHKERRQ(ierr);
3592   if (!conv) {
3593     *type = MAT_SOLVER_PETSC;
3594   } else {
3595     ierr = (*conv)(mat,type);CHKERRQ(ierr);
3596   }
3597   PetscFunctionReturn(0);
3598 }
3599 
3600 #undef __FUNCT__
3601 #define __FUNCT__ "MatGetFactor"
3602 /*@C
3603    MatGetFactor - Returns a matrix suitable to calls to MatXXFactorSymbolic()
3604 
3605    Collective on Mat
3606 
3607    Input Parameters:
3608 +  mat - the matrix
3609 .  type - name of solver type, for example, spooles, superlu, plapack, petsc (to use PETSc's default)
3610 -  ftype - factor type, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ICC, MAT_FACTOR_ILU,
3611 
3612    Output Parameters:
3613 .  f - the factor matrix used with MatXXFactorSymbolic() calls
3614 
3615    Notes:
3616       Some PETSc matrix formats have alternative solvers available that are contained in alternative packages
3617      such as pastix, superlu, mumps, spooles etc.
3618 
3619       PETSc must have been config/configure.py to use the external solver, using the option --download-package
3620 
3621    Level: intermediate
3622 
3623 .seealso: MatCopy(), MatDuplicate(), MatGetFactorAvailable()
3624 @*/
3625 PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor(Mat mat, const MatSolverPackage type,MatFactorType ftype,Mat *f)
3626 {
3627   PetscErrorCode         ierr;
3628   char                   convname[256];
3629   PetscErrorCode         (*conv)(Mat,MatFactorType,Mat*);
3630 
3631   PetscFunctionBegin;
3632   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3633   PetscValidType(mat,1);
3634 
3635   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3636   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3637 
3638   ierr = PetscStrcpy(convname,"MatGetFactor_");CHKERRQ(ierr);
3639   ierr = PetscStrcat(convname,type);CHKERRQ(ierr);
3640   ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3641   ierr = PetscObjectQueryFunction((PetscObject)mat,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3642   if (!conv) {
3643     PetscTruth flag;
3644     ierr = PetscStrcasecmp(MAT_SOLVER_PETSC,type,&flag);CHKERRQ(ierr);
3645     if (flag) {
3646       SETERRQ1(PETSC_ERR_SUP,"Matrix format %s does not have a built-in PETSc direct solver",((PetscObject)mat)->type_name);
3647     } else {
3648       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);
3649     }
3650   }
3651   ierr = (*conv)(mat,ftype,f);CHKERRQ(ierr);
3652   PetscFunctionReturn(0);
3653 }
3654 
3655 #undef __FUNCT__
3656 #define __FUNCT__ "MatGetFactorAvailable"
3657 /*@C
3658    MatGetFactorAvailable - Returns a a flag if matrix supports particular package and factor type
3659 
3660    Collective on Mat
3661 
3662    Input Parameters:
3663 +  mat - the matrix
3664 .  type - name of solver type, for example, spooles, superlu, plapack, petsc (to use PETSc's default)
3665 -  ftype - factor type, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ICC, MAT_FACTOR_ILU,
3666 
3667    Output Parameter:
3668 .    flg - PETSC_TRUE if the factorization is available
3669 
3670    Notes:
3671       Some PETSc matrix formats have alternative solvers available that are contained in alternative packages
3672      such as pastix, superlu, mumps, spooles etc.
3673 
3674       PETSc must have been config/configure.py to use the external solver, using the option --download-package
3675 
3676    Level: intermediate
3677 
3678 .seealso: MatCopy(), MatDuplicate(), MatGetFactor()
3679 @*/
3680 PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactorAvailable(Mat mat, const MatSolverPackage type,MatFactorType ftype,PetscTruth *flg)
3681 {
3682   PetscErrorCode         ierr;
3683   char                   convname[256];
3684   PetscErrorCode         (*conv)(Mat,MatFactorType,PetscTruth*);
3685 
3686   PetscFunctionBegin;
3687   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3688   PetscValidType(mat,1);
3689 
3690   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3691   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3692 
3693   ierr = PetscStrcpy(convname,"MatGetFactorAvailable_");CHKERRQ(ierr);
3694   ierr = PetscStrcat(convname,type);CHKERRQ(ierr);
3695   ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3696   ierr = PetscObjectQueryFunction((PetscObject)mat,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3697   if (!conv) {
3698     *flg = PETSC_FALSE;
3699   } else {
3700     ierr = (*conv)(mat,ftype,flg);CHKERRQ(ierr);
3701   }
3702   PetscFunctionReturn(0);
3703 }
3704 
3705 
3706 #undef __FUNCT__
3707 #define __FUNCT__ "MatDuplicate"
3708 /*@
3709    MatDuplicate - Duplicates a matrix including the non-zero structure.
3710 
3711    Collective on Mat
3712 
3713    Input Parameters:
3714 +  mat - the matrix
3715 -  op - either MAT_DO_NOT_COPY_VALUES or MAT_COPY_VALUES, cause it to copy the numerical values in the matrix
3716         MAT_SHARE_NONZERO_PATTERN to share the nonzero patterns with the previous matrix and not copy them.
3717 
3718    Output Parameter:
3719 .  M - pointer to place new matrix
3720 
3721    Level: intermediate
3722 
3723    Concepts: matrices^duplicating
3724 
3725     Notes: You cannot change the nonzero pattern for the parent or child matrix if you use MAT_SHARE_NONZERO_PATTERN.
3726 
3727 .seealso: MatCopy(), MatConvert()
3728 @*/
3729 PetscErrorCode PETSCMAT_DLLEXPORT MatDuplicate(Mat mat,MatDuplicateOption op,Mat *M)
3730 {
3731   PetscErrorCode ierr;
3732   Mat            B;
3733   PetscInt       i;
3734 
3735   PetscFunctionBegin;
3736   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3737   PetscValidType(mat,1);
3738   PetscValidPointer(M,3);
3739   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3740   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3741   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3742 
3743   *M  = 0;
3744   if (!mat->ops->duplicate) {
3745     SETERRQ(PETSC_ERR_SUP,"Not written for this matrix type");
3746   }
3747   ierr = PetscLogEventBegin(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3748   ierr = (*mat->ops->duplicate)(mat,op,M);CHKERRQ(ierr);
3749   B = *M;
3750   if (mat->mapping) {
3751     ierr = MatSetLocalToGlobalMapping(B,mat->mapping);CHKERRQ(ierr);
3752   }
3753   if (mat->bmapping) {
3754     ierr = MatSetLocalToGlobalMappingBlock(B,mat->bmapping);CHKERRQ(ierr);
3755   }
3756   ierr = PetscLayoutCopy(mat->rmap,&B->rmap);CHKERRQ(ierr);
3757   ierr = PetscLayoutCopy(mat->cmap,&B->cmap);CHKERRQ(ierr);
3758 
3759   B->stencil.dim = mat->stencil.dim;
3760   B->stencil.noc = mat->stencil.noc;
3761   for (i=0; i<=mat->stencil.dim; i++) {
3762     B->stencil.dims[i]   = mat->stencil.dims[i];
3763     B->stencil.starts[i] = mat->stencil.starts[i];
3764   }
3765 
3766   ierr = PetscLogEventEnd(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3767   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3768   PetscFunctionReturn(0);
3769 }
3770 
3771 #undef __FUNCT__
3772 #define __FUNCT__ "MatGetDiagonal"
3773 /*@
3774    MatGetDiagonal - Gets the diagonal of a matrix.
3775 
3776    Collective on Mat and Vec
3777 
3778    Input Parameters:
3779 +  mat - the matrix
3780 -  v - the vector for storing the diagonal
3781 
3782    Output Parameter:
3783 .  v - the diagonal of the matrix
3784 
3785    Level: intermediate
3786 
3787    Concepts: matrices^accessing diagonals
3788 
3789 .seealso: MatGetRow(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs()
3790 @*/
3791 PetscErrorCode PETSCMAT_DLLEXPORT MatGetDiagonal(Mat mat,Vec v)
3792 {
3793   PetscErrorCode ierr;
3794 
3795   PetscFunctionBegin;
3796   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3797   PetscValidType(mat,1);
3798   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3799   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3800   if (!mat->ops->getdiagonal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3801   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3802 
3803   ierr = (*mat->ops->getdiagonal)(mat,v);CHKERRQ(ierr);
3804   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3805   PetscFunctionReturn(0);
3806 }
3807 
3808 #undef __FUNCT__
3809 #define __FUNCT__ "MatGetRowMin"
3810 /*@
3811    MatGetRowMin - Gets the minimum value (of the real part) of each
3812         row of the matrix
3813 
3814    Collective on Mat and Vec
3815 
3816    Input Parameters:
3817 .  mat - the matrix
3818 
3819    Output Parameter:
3820 +  v - the vector for storing the maximums
3821 -  idx - the indices of the column found for each row (optional)
3822 
3823    Level: intermediate
3824 
3825    Notes: The result of this call are the same as if one converted the matrix to dense format
3826       and found the minimum value in each row (i.e. the implicit zeros are counted as zeros).
3827 
3828     This code is only implemented for a couple of matrix formats.
3829 
3830    Concepts: matrices^getting row maximums
3831 
3832 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs(),
3833           MatGetRowMax()
3834 @*/
3835 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMin(Mat mat,Vec v,PetscInt idx[])
3836 {
3837   PetscErrorCode ierr;
3838 
3839   PetscFunctionBegin;
3840   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3841   PetscValidType(mat,1);
3842   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3843   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3844   if (!mat->ops->getrowmax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3845   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3846 
3847   ierr = (*mat->ops->getrowmin)(mat,v,idx);CHKERRQ(ierr);
3848   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3849   PetscFunctionReturn(0);
3850 }
3851 
3852 #undef __FUNCT__
3853 #define __FUNCT__ "MatGetRowMinAbs"
3854 /*@
3855    MatGetRowMinAbs - Gets the minimum value (in absolute value) of each
3856         row of the matrix
3857 
3858    Collective on Mat and Vec
3859 
3860    Input Parameters:
3861 .  mat - the matrix
3862 
3863    Output Parameter:
3864 +  v - the vector for storing the minimums
3865 -  idx - the indices of the column found for each row (optional)
3866 
3867    Level: intermediate
3868 
3869    Notes: if a row is completely empty or has only 0.0 values then the idx[] value for that
3870     row is 0 (the first column).
3871 
3872     This code is only implemented for a couple of matrix formats.
3873 
3874    Concepts: matrices^getting row maximums
3875 
3876 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMaxAbs(), MatGetRowMin()
3877 @*/
3878 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMinAbs(Mat mat,Vec v,PetscInt idx[])
3879 {
3880   PetscErrorCode ierr;
3881 
3882   PetscFunctionBegin;
3883   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3884   PetscValidType(mat,1);
3885   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3886   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3887   if (!mat->ops->getrowminabs) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3888   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3889   if (idx) {ierr = PetscMemzero(idx,mat->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);}
3890 
3891   ierr = (*mat->ops->getrowminabs)(mat,v,idx);CHKERRQ(ierr);
3892   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3893   PetscFunctionReturn(0);
3894 }
3895 
3896 #undef __FUNCT__
3897 #define __FUNCT__ "MatGetRowMax"
3898 /*@
3899    MatGetRowMax - Gets the maximum value (of the real part) of each
3900         row of the matrix
3901 
3902    Collective on Mat and Vec
3903 
3904    Input Parameters:
3905 .  mat - the matrix
3906 
3907    Output Parameter:
3908 +  v - the vector for storing the maximums
3909 -  idx - the indices of the column found for each row (optional)
3910 
3911    Level: intermediate
3912 
3913    Notes: The result of this call are the same as if one converted the matrix to dense format
3914       and found the minimum value in each row (i.e. the implicit zeros are counted as zeros).
3915 
3916     This code is only implemented for a couple of matrix formats.
3917 
3918    Concepts: matrices^getting row maximums
3919 
3920 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMaxAbs(), MatGetRowMin()
3921 @*/
3922 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMax(Mat mat,Vec v,PetscInt idx[])
3923 {
3924   PetscErrorCode ierr;
3925 
3926   PetscFunctionBegin;
3927   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3928   PetscValidType(mat,1);
3929   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3930   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3931   if (!mat->ops->getrowmax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3932   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3933 
3934   ierr = (*mat->ops->getrowmax)(mat,v,idx);CHKERRQ(ierr);
3935   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3936   PetscFunctionReturn(0);
3937 }
3938 
3939 #undef __FUNCT__
3940 #define __FUNCT__ "MatGetRowMaxAbs"
3941 /*@
3942    MatGetRowMaxAbs - Gets the maximum value (in absolute value) of each
3943         row of the matrix
3944 
3945    Collective on Mat and Vec
3946 
3947    Input Parameters:
3948 .  mat - the matrix
3949 
3950    Output Parameter:
3951 +  v - the vector for storing the maximums
3952 -  idx - the indices of the column found for each row (optional)
3953 
3954    Level: intermediate
3955 
3956    Notes: if a row is completely empty or has only 0.0 values then the idx[] value for that
3957     row is 0 (the first column).
3958 
3959     This code is only implemented for a couple of matrix formats.
3960 
3961    Concepts: matrices^getting row maximums
3962 
3963 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMin()
3964 @*/
3965 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMaxAbs(Mat mat,Vec v,PetscInt idx[])
3966 {
3967   PetscErrorCode ierr;
3968 
3969   PetscFunctionBegin;
3970   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3971   PetscValidType(mat,1);
3972   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3973   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3974   if (!mat->ops->getrowmaxabs) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
3975   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3976   if (idx) {ierr = PetscMemzero(idx,mat->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);}
3977 
3978   ierr = (*mat->ops->getrowmaxabs)(mat,v,idx);CHKERRQ(ierr);
3979   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3980   PetscFunctionReturn(0);
3981 }
3982 
3983 #undef __FUNCT__
3984 #define __FUNCT__ "MatGetRowSum"
3985 /*@
3986    MatGetRowSum - Gets the sum of each row of the matrix
3987 
3988    Collective on Mat and Vec
3989 
3990    Input Parameters:
3991 .  mat - the matrix
3992 
3993    Output Parameter:
3994 .  v - the vector for storing the sum of rows
3995 
3996    Level: intermediate
3997 
3998    Notes: This code is slow since it is not currently specialized for different formats
3999 
4000    Concepts: matrices^getting row sums
4001 
4002 .seealso: MatGetDiagonal(), MatGetSubMatrices(), MatGetSubmatrix(), MatGetRowMax(), MatGetRowMin()
4003 @*/
4004 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowSum(Mat mat, Vec v)
4005 {
4006   PetscInt       start = 0, end = 0, row;
4007   PetscScalar   *array;
4008   PetscErrorCode ierr;
4009 
4010   PetscFunctionBegin;
4011   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4012   PetscValidType(mat,1);
4013   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
4014   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4015   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4016   ierr = MatGetOwnershipRange(mat, &start, &end);CHKERRQ(ierr);
4017   ierr = VecGetArray(v, &array);CHKERRQ(ierr);
4018   for(row = start; row < end; ++row) {
4019     PetscInt           ncols, col;
4020     const PetscInt    *cols;
4021     const PetscScalar *vals;
4022 
4023     array[row - start] = 0.0;
4024     ierr = MatGetRow(mat, row, &ncols, &cols, &vals);CHKERRQ(ierr);
4025     for(col = 0; col < ncols; col++) {
4026       array[row - start] += vals[col];
4027     }
4028     ierr = MatRestoreRow(mat, row, &ncols, &cols, &vals);CHKERRQ(ierr);
4029   }
4030   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
4031   ierr = PetscObjectStateIncrease((PetscObject) v);CHKERRQ(ierr);
4032   PetscFunctionReturn(0);
4033 }
4034 
4035 #undef __FUNCT__
4036 #define __FUNCT__ "MatTranspose"
4037 /*@
4038    MatTranspose - Computes an in-place or out-of-place transpose of a matrix.
4039 
4040    Collective on Mat
4041 
4042    Input Parameter:
4043 +  mat - the matrix to transpose
4044 -  reuse - store the transpose matrix in the provided B
4045 
4046    Output Parameters:
4047 .  B - the transpose
4048 
4049    Notes:
4050      If you  pass in &mat for B the transpose will be done in place
4051 
4052    Level: intermediate
4053 
4054    Concepts: matrices^transposing
4055 
4056 .seealso: MatMultTranspose(), MatMultTransposeAdd(), MatIsTranspose(), MatReuse
4057 @*/
4058 PetscErrorCode PETSCMAT_DLLEXPORT MatTranspose(Mat mat,MatReuse reuse,Mat *B)
4059 {
4060   PetscErrorCode ierr;
4061 
4062   PetscFunctionBegin;
4063   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4064   PetscValidType(mat,1);
4065   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4066   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4067   if (!mat->ops->transpose) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4068   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4069 
4070   ierr = PetscLogEventBegin(MAT_Transpose,mat,0,0,0);CHKERRQ(ierr);
4071   ierr = (*mat->ops->transpose)(mat,reuse,B);CHKERRQ(ierr);
4072   ierr = PetscLogEventEnd(MAT_Transpose,mat,0,0,0);CHKERRQ(ierr);
4073   if (B) {ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);}
4074   PetscFunctionReturn(0);
4075 }
4076 
4077 #undef __FUNCT__
4078 #define __FUNCT__ "MatIsTranspose"
4079 /*@
4080    MatIsTranspose - Test whether a matrix is another one's transpose,
4081         or its own, in which case it tests symmetry.
4082 
4083    Collective on Mat
4084 
4085    Input Parameter:
4086 +  A - the matrix to test
4087 -  B - the matrix to test against, this can equal the first parameter
4088 
4089    Output Parameters:
4090 .  flg - the result
4091 
4092    Notes:
4093    Only available for SeqAIJ/MPIAIJ matrices. The sequential algorithm
4094    has a running time of the order of the number of nonzeros; the parallel
4095    test involves parallel copies of the block-offdiagonal parts of the matrix.
4096 
4097    Level: intermediate
4098 
4099    Concepts: matrices^transposing, matrix^symmetry
4100 
4101 .seealso: MatTranspose(), MatIsSymmetric(), MatIsHermitian()
4102 @*/
4103 PetscErrorCode PETSCMAT_DLLEXPORT MatIsTranspose(Mat A,Mat B,PetscReal tol,PetscTruth *flg)
4104 {
4105   PetscErrorCode ierr,(*f)(Mat,Mat,PetscReal,PetscTruth*),(*g)(Mat,Mat,PetscReal,PetscTruth*);
4106 
4107   PetscFunctionBegin;
4108   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
4109   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
4110   PetscValidPointer(flg,3);
4111   ierr = PetscObjectQueryFunction((PetscObject)A,"MatIsTranspose_C",(void (**)(void))&f);CHKERRQ(ierr);
4112   ierr = PetscObjectQueryFunction((PetscObject)B,"MatIsTranspose_C",(void (**)(void))&g);CHKERRQ(ierr);
4113   if (f && g) {
4114     if (f==g) {
4115       ierr = (*f)(A,B,tol,flg);CHKERRQ(ierr);
4116     } else {
4117       SETERRQ(PETSC_ERR_ARG_NOTSAMETYPE,"Matrices do not have the same comparator for symmetry test");
4118     }
4119   }
4120   PetscFunctionReturn(0);
4121 }
4122 
4123 #undef __FUNCT__
4124 #define __FUNCT__ "MatHermitianTranspose"
4125 /*@
4126    MatHermitianTranspose - Computes an in-place or out-of-place transpose of a matrix in complex conjugate.
4127 
4128    Collective on Mat
4129 
4130    Input Parameter:
4131 +  mat - the matrix to transpose and complex conjugate
4132 -  reuse - store the transpose matrix in the provided B
4133 
4134    Output Parameters:
4135 .  B - the Hermitian
4136 
4137    Notes:
4138      If you  pass in &mat for B the Hermitian will be done in place
4139 
4140    Level: intermediate
4141 
4142    Concepts: matrices^transposing, complex conjugatex
4143 
4144 .seealso: MatTranspose(), MatMultTranspose(), MatMultTransposeAdd(), MatIsTranspose(), MatReuse
4145 @*/
4146 PetscErrorCode PETSCMAT_DLLEXPORT MatHermitianTranspose(Mat mat,MatReuse reuse,Mat *B)
4147 {
4148   PetscErrorCode ierr;
4149 
4150   PetscFunctionBegin;
4151   ierr = MatTranspose(mat,reuse,B);CHKERRQ(ierr);
4152 #if defined(PETSC_USE_COMPLEX)
4153   ierr = MatConjugate(*B);CHKERRQ(ierr);
4154 #endif
4155   PetscFunctionReturn(0);
4156 }
4157 
4158 #undef __FUNCT__
4159 #define __FUNCT__ "MatIsHermitianTranspose"
4160 /*@
4161    MatIsHermitianTranspose - Test whether a matrix is another one's Hermitian transpose,
4162 
4163    Collective on Mat
4164 
4165    Input Parameter:
4166 +  A - the matrix to test
4167 -  B - the matrix to test against, this can equal the first parameter
4168 
4169    Output Parameters:
4170 .  flg - the result
4171 
4172    Notes:
4173    Only available for SeqAIJ/MPIAIJ matrices. The sequential algorithm
4174    has a running time of the order of the number of nonzeros; the parallel
4175    test involves parallel copies of the block-offdiagonal parts of the matrix.
4176 
4177    Level: intermediate
4178 
4179    Concepts: matrices^transposing, matrix^symmetry
4180 
4181 .seealso: MatTranspose(), MatIsSymmetric(), MatIsHermitian(), MatIsTranspose()
4182 @*/
4183 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitianTranspose(Mat A,Mat B,PetscReal tol,PetscTruth *flg)
4184 {
4185   PetscErrorCode ierr,(*f)(Mat,Mat,PetscReal,PetscTruth*),(*g)(Mat,Mat,PetscReal,PetscTruth*);
4186 
4187   PetscFunctionBegin;
4188   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
4189   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
4190   PetscValidPointer(flg,3);
4191   ierr = PetscObjectQueryFunction((PetscObject)A,"MatIsHermitianTranspose_C",(void (**)(void))&f);CHKERRQ(ierr);
4192   ierr = PetscObjectQueryFunction((PetscObject)B,"MatIsHermitianTranspose_C",(void (**)(void))&g);CHKERRQ(ierr);
4193   if (f && g) {
4194     if (f==g) {
4195       ierr = (*f)(A,B,tol,flg);CHKERRQ(ierr);
4196     } else {
4197       SETERRQ(PETSC_ERR_ARG_NOTSAMETYPE,"Matrices do not have the same comparator for Hermitian test");
4198     }
4199   }
4200   PetscFunctionReturn(0);
4201 }
4202 
4203 #undef __FUNCT__
4204 #define __FUNCT__ "MatPermute"
4205 /*@
4206    MatPermute - Creates a new matrix with rows and columns permuted from the
4207    original.
4208 
4209    Collective on Mat
4210 
4211    Input Parameters:
4212 +  mat - the matrix to permute
4213 .  row - row permutation, each processor supplies only the permutation for its rows
4214 -  col - column permutation, each processor needs the entire column permutation, that is
4215          this is the same size as the total number of columns in the matrix. It can often
4216          be obtained with ISAllGather() on the row permutation
4217 
4218    Output Parameters:
4219 .  B - the permuted matrix
4220 
4221    Level: advanced
4222 
4223    Concepts: matrices^permuting
4224 
4225 .seealso: MatGetOrdering(), ISAllGather()
4226 
4227 @*/
4228 PetscErrorCode PETSCMAT_DLLEXPORT MatPermute(Mat mat,IS row,IS col,Mat *B)
4229 {
4230   PetscErrorCode ierr;
4231 
4232   PetscFunctionBegin;
4233   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4234   PetscValidType(mat,1);
4235   PetscValidHeaderSpecific(row,IS_COOKIE,2);
4236   PetscValidHeaderSpecific(col,IS_COOKIE,3);
4237   PetscValidPointer(B,4);
4238   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4239   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4240   if (!mat->ops->permute) SETERRQ1(PETSC_ERR_SUP,"MatPermute not available for Mat type %s",((PetscObject)mat)->type_name);
4241   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4242 
4243   ierr = (*mat->ops->permute)(mat,row,col,B);CHKERRQ(ierr);
4244   ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);
4245   PetscFunctionReturn(0);
4246 }
4247 
4248 #undef __FUNCT__
4249 #define __FUNCT__ "MatPermuteSparsify"
4250 /*@
4251   MatPermuteSparsify - Creates a new matrix with rows and columns permuted from the
4252   original and sparsified to the prescribed tolerance.
4253 
4254   Collective on Mat
4255 
4256   Input Parameters:
4257 + A    - The matrix to permute
4258 . band - The half-bandwidth of the sparsified matrix, or PETSC_DECIDE
4259 . frac - The half-bandwidth as a fraction of the total size, or 0.0
4260 . tol  - The drop tolerance
4261 . rowp - The row permutation
4262 - colp - The column permutation
4263 
4264   Output Parameter:
4265 . B    - The permuted, sparsified matrix
4266 
4267   Level: advanced
4268 
4269   Note:
4270   The default behavior (band = PETSC_DECIDE and frac = 0.0) is to
4271   restrict the half-bandwidth of the resulting matrix to 5% of the
4272   total matrix size.
4273 
4274 .keywords: matrix, permute, sparsify
4275 
4276 .seealso: MatGetOrdering(), MatPermute()
4277 @*/
4278 PetscErrorCode PETSCMAT_DLLEXPORT MatPermuteSparsify(Mat A, PetscInt band, PetscReal frac, PetscReal tol, IS rowp, IS colp, Mat *B)
4279 {
4280   IS                irowp, icolp;
4281   const PetscInt    *rows, *cols;
4282   PetscInt          M, N, locRowStart = 0, locRowEnd = 0;
4283   PetscInt          nz, newNz;
4284   const PetscInt    *cwork;
4285   PetscInt          *cnew;
4286   const PetscScalar *vwork;
4287   PetscScalar       *vnew;
4288   PetscInt          bw, issize;
4289   PetscInt          row, locRow, newRow, col, newCol;
4290   PetscErrorCode    ierr;
4291 
4292   PetscFunctionBegin;
4293   PetscValidHeaderSpecific(A,    MAT_COOKIE,1);
4294   PetscValidHeaderSpecific(rowp, IS_COOKIE,5);
4295   PetscValidHeaderSpecific(colp, IS_COOKIE,6);
4296   PetscValidPointer(B,7);
4297   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE, "Not for unassembled matrix");
4298   if (A->factor)     SETERRQ(PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix");
4299   if (!A->ops->permutesparsify) {
4300     ierr = MatGetSize(A, &M, &N);CHKERRQ(ierr);
4301     ierr = MatGetOwnershipRange(A, &locRowStart, &locRowEnd);CHKERRQ(ierr);
4302     ierr = ISGetSize(rowp, &issize);CHKERRQ(ierr);
4303     if (issize != M) SETERRQ2(PETSC_ERR_ARG_WRONG, "Wrong size %D for row permutation, should be %D", issize, M);
4304     ierr = ISGetSize(colp, &issize);CHKERRQ(ierr);
4305     if (issize != N) SETERRQ2(PETSC_ERR_ARG_WRONG, "Wrong size %D for column permutation, should be %D", issize, N);
4306     ierr = ISInvertPermutation(rowp, 0, &irowp);CHKERRQ(ierr);
4307     ierr = ISGetIndices(irowp, &rows);CHKERRQ(ierr);
4308     ierr = ISInvertPermutation(colp, 0, &icolp);CHKERRQ(ierr);
4309     ierr = ISGetIndices(icolp, &cols);CHKERRQ(ierr);
4310     ierr = PetscMalloc(N*sizeof(PetscInt),&cnew);CHKERRQ(ierr);
4311     ierr = PetscMalloc(N*sizeof(PetscScalar),&vnew);CHKERRQ(ierr);
4312 
4313     /* Setup bandwidth to include */
4314     if (band == PETSC_DECIDE) {
4315       if (frac <= 0.0)
4316         bw = (PetscInt) (M * 0.05);
4317       else
4318         bw = (PetscInt) (M * frac);
4319     } else {
4320       if (band <= 0) SETERRQ(PETSC_ERR_ARG_WRONG, "Bandwidth must be a positive integer");
4321       bw = band;
4322     }
4323 
4324     /* Put values into new matrix */
4325     ierr = MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, B);CHKERRQ(ierr);
4326     for(row = locRowStart, locRow = 0; row < locRowEnd; row++, locRow++) {
4327       ierr = MatGetRow(A, row, &nz, &cwork, &vwork);CHKERRQ(ierr);
4328       newRow   = rows[locRow]+locRowStart;
4329       for(col = 0, newNz = 0; col < nz; col++) {
4330         newCol = cols[cwork[col]];
4331         if ((newCol >= newRow - bw) && (newCol < newRow + bw) && (PetscAbsScalar(vwork[col]) >= tol)) {
4332           cnew[newNz] = newCol;
4333           vnew[newNz] = vwork[col];
4334           newNz++;
4335         }
4336       }
4337       ierr = MatSetValues(*B, 1, &newRow, newNz, cnew, vnew, INSERT_VALUES);CHKERRQ(ierr);
4338       ierr = MatRestoreRow(A, row, &nz, &cwork, &vwork);CHKERRQ(ierr);
4339     }
4340     ierr = PetscFree(cnew);CHKERRQ(ierr);
4341     ierr = PetscFree(vnew);CHKERRQ(ierr);
4342     ierr = MatAssemblyBegin(*B, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4343     ierr = MatAssemblyEnd(*B, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4344     ierr = ISRestoreIndices(irowp, &rows);CHKERRQ(ierr);
4345     ierr = ISRestoreIndices(icolp, &cols);CHKERRQ(ierr);
4346     ierr = ISDestroy(irowp);CHKERRQ(ierr);
4347     ierr = ISDestroy(icolp);CHKERRQ(ierr);
4348   } else {
4349     ierr = (*A->ops->permutesparsify)(A, band, frac, tol, rowp, colp, B);CHKERRQ(ierr);
4350   }
4351   ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);
4352   PetscFunctionReturn(0);
4353 }
4354 
4355 #undef __FUNCT__
4356 #define __FUNCT__ "MatEqual"
4357 /*@
4358    MatEqual - Compares two matrices.
4359 
4360    Collective on Mat
4361 
4362    Input Parameters:
4363 +  A - the first matrix
4364 -  B - the second matrix
4365 
4366    Output Parameter:
4367 .  flg - PETSC_TRUE if the matrices are equal; PETSC_FALSE otherwise.
4368 
4369    Level: intermediate
4370 
4371    Concepts: matrices^equality between
4372 @*/
4373 PetscErrorCode PETSCMAT_DLLEXPORT MatEqual(Mat A,Mat B,PetscTruth *flg)
4374 {
4375   PetscErrorCode ierr;
4376 
4377   PetscFunctionBegin;
4378   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
4379   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
4380   PetscValidType(A,1);
4381   PetscValidType(B,2);
4382   PetscValidIntPointer(flg,3);
4383   PetscCheckSameComm(A,1,B,2);
4384   ierr = MatPreallocated(B);CHKERRQ(ierr);
4385   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4386   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4387   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);
4388   if (!A->ops->equal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)A)->type_name);
4389   if (!B->ops->equal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)B)->type_name);
4390   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);
4391   ierr = MatPreallocated(A);CHKERRQ(ierr);
4392 
4393   ierr = (*A->ops->equal)(A,B,flg);CHKERRQ(ierr);
4394   PetscFunctionReturn(0);
4395 }
4396 
4397 #undef __FUNCT__
4398 #define __FUNCT__ "MatDiagonalScale"
4399 /*@
4400    MatDiagonalScale - Scales a matrix on the left and right by diagonal
4401    matrices that are stored as vectors.  Either of the two scaling
4402    matrices can be PETSC_NULL.
4403 
4404    Collective on Mat
4405 
4406    Input Parameters:
4407 +  mat - the matrix to be scaled
4408 .  l - the left scaling vector (or PETSC_NULL)
4409 -  r - the right scaling vector (or PETSC_NULL)
4410 
4411    Notes:
4412    MatDiagonalScale() computes A = LAR, where
4413    L = a diagonal matrix (stored as a vector), R = a diagonal matrix (stored as a vector)
4414 
4415    Level: intermediate
4416 
4417    Concepts: matrices^diagonal scaling
4418    Concepts: diagonal scaling of matrices
4419 
4420 .seealso: MatScale()
4421 @*/
4422 PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalScale(Mat mat,Vec l,Vec r)
4423 {
4424   PetscErrorCode ierr;
4425 
4426   PetscFunctionBegin;
4427   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4428   PetscValidType(mat,1);
4429   if (!mat->ops->diagonalscale) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4430   if (l) {PetscValidHeaderSpecific(l,VEC_COOKIE,2);PetscCheckSameComm(mat,1,l,2);}
4431   if (r) {PetscValidHeaderSpecific(r,VEC_COOKIE,3);PetscCheckSameComm(mat,1,r,3);}
4432   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4433   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4434   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4435 
4436   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4437   ierr = (*mat->ops->diagonalscale)(mat,l,r);CHKERRQ(ierr);
4438   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4439   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4440   PetscFunctionReturn(0);
4441 }
4442 
4443 #undef __FUNCT__
4444 #define __FUNCT__ "MatScale"
4445 /*@
4446     MatScale - Scales all elements of a matrix by a given number.
4447 
4448     Collective on Mat
4449 
4450     Input Parameters:
4451 +   mat - the matrix to be scaled
4452 -   a  - the scaling value
4453 
4454     Output Parameter:
4455 .   mat - the scaled matrix
4456 
4457     Level: intermediate
4458 
4459     Concepts: matrices^scaling all entries
4460 
4461 .seealso: MatDiagonalScale()
4462 @*/
4463 PetscErrorCode PETSCMAT_DLLEXPORT MatScale(Mat mat,PetscScalar a)
4464 {
4465   PetscErrorCode ierr;
4466 
4467   PetscFunctionBegin;
4468   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4469   PetscValidType(mat,1);
4470   if (a != 1.0 && !mat->ops->scale) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4471   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4472   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4473   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4474 
4475   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4476   if (a != 1.0) {
4477     ierr = (*mat->ops->scale)(mat,a);CHKERRQ(ierr);
4478     ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4479   }
4480   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
4481   PetscFunctionReturn(0);
4482 }
4483 
4484 #undef __FUNCT__
4485 #define __FUNCT__ "MatNorm"
4486 /*@
4487    MatNorm - Calculates various norms of a matrix.
4488 
4489    Collective on Mat
4490 
4491    Input Parameters:
4492 +  mat - the matrix
4493 -  type - the type of norm, NORM_1, NORM_FROBENIUS, NORM_INFINITY
4494 
4495    Output Parameters:
4496 .  nrm - the resulting norm
4497 
4498    Level: intermediate
4499 
4500    Concepts: matrices^norm
4501    Concepts: norm^of matrix
4502 @*/
4503 PetscErrorCode PETSCMAT_DLLEXPORT MatNorm(Mat mat,NormType type,PetscReal *nrm)
4504 {
4505   PetscErrorCode ierr;
4506 
4507   PetscFunctionBegin;
4508   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4509   PetscValidType(mat,1);
4510   PetscValidScalarPointer(nrm,3);
4511 
4512   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4513   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4514   if (!mat->ops->norm) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4515   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4516 
4517   ierr = (*mat->ops->norm)(mat,type,nrm);CHKERRQ(ierr);
4518   PetscFunctionReturn(0);
4519 }
4520 
4521 /*
4522      This variable is used to prevent counting of MatAssemblyBegin() that
4523    are called from within a MatAssemblyEnd().
4524 */
4525 static PetscInt MatAssemblyEnd_InUse = 0;
4526 #undef __FUNCT__
4527 #define __FUNCT__ "MatAssemblyBegin"
4528 /*@
4529    MatAssemblyBegin - Begins assembling the matrix.  This routine should
4530    be called after completing all calls to MatSetValues().
4531 
4532    Collective on Mat
4533 
4534    Input Parameters:
4535 +  mat - the matrix
4536 -  type - type of assembly, either MAT_FLUSH_ASSEMBLY or MAT_FINAL_ASSEMBLY
4537 
4538    Notes:
4539    MatSetValues() generally caches the values.  The matrix is ready to
4540    use only after MatAssemblyBegin() and MatAssemblyEnd() have been called.
4541    Use MAT_FLUSH_ASSEMBLY when switching between ADD_VALUES and INSERT_VALUES
4542    in MatSetValues(); use MAT_FINAL_ASSEMBLY for the final assembly before
4543    using the matrix.
4544 
4545    Level: beginner
4546 
4547    Concepts: matrices^assembling
4548 
4549 .seealso: MatAssemblyEnd(), MatSetValues(), MatAssembled()
4550 @*/
4551 PetscErrorCode PETSCMAT_DLLEXPORT MatAssemblyBegin(Mat mat,MatAssemblyType type)
4552 {
4553   PetscErrorCode ierr;
4554 
4555   PetscFunctionBegin;
4556   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4557   PetscValidType(mat,1);
4558   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4559   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix.\nDid you forget to call MatSetUnfactored()?");
4560   if (mat->assembled) {
4561     mat->was_assembled = PETSC_TRUE;
4562     mat->assembled     = PETSC_FALSE;
4563   }
4564   if (!MatAssemblyEnd_InUse) {
4565     ierr = PetscLogEventBegin(MAT_AssemblyBegin,mat,0,0,0);CHKERRQ(ierr);
4566     if (mat->ops->assemblybegin){ierr = (*mat->ops->assemblybegin)(mat,type);CHKERRQ(ierr);}
4567     ierr = PetscLogEventEnd(MAT_AssemblyBegin,mat,0,0,0);CHKERRQ(ierr);
4568   } else {
4569     if (mat->ops->assemblybegin){ierr = (*mat->ops->assemblybegin)(mat,type);CHKERRQ(ierr);}
4570   }
4571   PetscFunctionReturn(0);
4572 }
4573 
4574 #undef __FUNCT__
4575 #define __FUNCT__ "MatAssembled"
4576 /*@
4577    MatAssembled - Indicates if a matrix has been assembled and is ready for
4578      use; for example, in matrix-vector product.
4579 
4580    Collective on Mat
4581 
4582    Input Parameter:
4583 .  mat - the matrix
4584 
4585    Output Parameter:
4586 .  assembled - PETSC_TRUE or PETSC_FALSE
4587 
4588    Level: advanced
4589 
4590    Concepts: matrices^assembled?
4591 
4592 .seealso: MatAssemblyEnd(), MatSetValues(), MatAssemblyBegin()
4593 @*/
4594 PetscErrorCode PETSCMAT_DLLEXPORT MatAssembled(Mat mat,PetscTruth *assembled)
4595 {
4596   PetscFunctionBegin;
4597   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4598   PetscValidType(mat,1);
4599   PetscValidPointer(assembled,2);
4600   *assembled = mat->assembled;
4601   PetscFunctionReturn(0);
4602 }
4603 
4604 #undef __FUNCT__
4605 #define __FUNCT__ "MatView_Private"
4606 /*
4607     Processes command line options to determine if/how a matrix
4608   is to be viewed. Called by MatAssemblyEnd() and MatLoad().
4609 */
4610 PetscErrorCode MatView_Private(Mat mat)
4611 {
4612   PetscErrorCode    ierr;
4613   PetscTruth        flg1 = PETSC_FALSE,flg2 = PETSC_FALSE,flg3 = PETSC_FALSE,flg4 = PETSC_FALSE,flg6 = PETSC_FALSE,flg7 = PETSC_FALSE,flg8 = PETSC_FALSE;
4614   static PetscTruth incall = PETSC_FALSE;
4615 #if defined(PETSC_USE_SOCKET_VIEWER)
4616   PetscTruth        flg5 = PETSC_FALSE;
4617 #endif
4618 
4619   PetscFunctionBegin;
4620   if (incall) PetscFunctionReturn(0);
4621   incall = PETSC_TRUE;
4622   ierr = PetscOptionsBegin(((PetscObject)mat)->comm,((PetscObject)mat)->prefix,"Matrix Options","Mat");CHKERRQ(ierr);
4623     ierr = PetscOptionsTruth("-mat_view_info","Information on matrix size","MatView",flg1,&flg1,PETSC_NULL);CHKERRQ(ierr);
4624     ierr = PetscOptionsTruth("-mat_view_info_detailed","Nonzeros in the matrix","MatView",flg2,&flg2,PETSC_NULL);CHKERRQ(ierr);
4625     ierr = PetscOptionsTruth("-mat_view","Print matrix to stdout","MatView",flg3,&flg3,PETSC_NULL);CHKERRQ(ierr);
4626     ierr = PetscOptionsTruth("-mat_view_matlab","Print matrix to stdout in a format Matlab can read","MatView",flg4,&flg4,PETSC_NULL);CHKERRQ(ierr);
4627 #if defined(PETSC_USE_SOCKET_VIEWER)
4628     ierr = PetscOptionsTruth("-mat_view_socket","Send matrix to socket (can be read from matlab)","MatView",flg5,&flg5,PETSC_NULL);CHKERRQ(ierr);
4629 #endif
4630     ierr = PetscOptionsTruth("-mat_view_binary","Save matrix to file in binary format","MatView",flg6,&flg6,PETSC_NULL);CHKERRQ(ierr);
4631     ierr = PetscOptionsTruth("-mat_view_draw","Draw the matrix nonzero structure","MatView",flg7,&flg7,PETSC_NULL);CHKERRQ(ierr);
4632   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4633 
4634   if (flg1) {
4635     PetscViewer viewer;
4636 
4637     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4638     ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO);CHKERRQ(ierr);
4639     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4640     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
4641   }
4642   if (flg2) {
4643     PetscViewer viewer;
4644 
4645     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4646     ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL);CHKERRQ(ierr);
4647     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4648     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
4649   }
4650   if (flg3) {
4651     PetscViewer viewer;
4652 
4653     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4654     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4655   }
4656   if (flg4) {
4657     PetscViewer viewer;
4658 
4659     ierr = PetscViewerASCIIGetStdout(((PetscObject)mat)->comm,&viewer);CHKERRQ(ierr);
4660     ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr);
4661     ierr = MatView(mat,viewer);CHKERRQ(ierr);
4662     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
4663   }
4664 #if defined(PETSC_USE_SOCKET_VIEWER)
4665   if (flg5) {
4666     ierr = MatView(mat,PETSC_VIEWER_SOCKET_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4667     ierr = PetscViewerFlush(PETSC_VIEWER_SOCKET_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4668   }
4669 #endif
4670   if (flg6) {
4671     ierr = MatView(mat,PETSC_VIEWER_BINARY_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4672     ierr = PetscViewerFlush(PETSC_VIEWER_BINARY_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4673   }
4674   if (flg7) {
4675     ierr = PetscOptionsGetTruth(((PetscObject)mat)->prefix,"-mat_view_contour",&flg8,PETSC_NULL);CHKERRQ(ierr);
4676     if (flg8) {
4677       PetscViewerPushFormat(PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm),PETSC_VIEWER_DRAW_CONTOUR);CHKERRQ(ierr);
4678     }
4679     ierr = MatView(mat,PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4680     ierr = PetscViewerFlush(PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4681     if (flg8) {
4682       PetscViewerPopFormat(PETSC_VIEWER_DRAW_(((PetscObject)mat)->comm));CHKERRQ(ierr);
4683     }
4684   }
4685   incall = PETSC_FALSE;
4686   PetscFunctionReturn(0);
4687 }
4688 
4689 #undef __FUNCT__
4690 #define __FUNCT__ "MatAssemblyEnd"
4691 /*@
4692    MatAssemblyEnd - Completes assembling the matrix.  This routine should
4693    be called after MatAssemblyBegin().
4694 
4695    Collective on Mat
4696 
4697    Input Parameters:
4698 +  mat - the matrix
4699 -  type - type of assembly, either MAT_FLUSH_ASSEMBLY or MAT_FINAL_ASSEMBLY
4700 
4701    Options Database Keys:
4702 +  -mat_view_info - Prints info on matrix at conclusion of MatEndAssembly()
4703 .  -mat_view_info_detailed - Prints more detailed info
4704 .  -mat_view - Prints matrix in ASCII format
4705 .  -mat_view_matlab - Prints matrix in Matlab format
4706 .  -mat_view_draw - PetscDraws nonzero structure of matrix, using MatView() and PetscDrawOpenX().
4707 .  -display <name> - Sets display name (default is host)
4708 .  -draw_pause <sec> - Sets number of seconds to pause after display
4709 .  -mat_view_socket - Sends matrix to socket, can be accessed from Matlab (see users manual)
4710 .  -viewer_socket_machine <machine>
4711 .  -viewer_socket_port <port>
4712 .  -mat_view_binary - save matrix to file in binary format
4713 -  -viewer_binary_filename <name>
4714 
4715    Notes:
4716    MatSetValues() generally caches the values.  The matrix is ready to
4717    use only after MatAssemblyBegin() and MatAssemblyEnd() have been called.
4718    Use MAT_FLUSH_ASSEMBLY when switching between ADD_VALUES and INSERT_VALUES
4719    in MatSetValues(); use MAT_FINAL_ASSEMBLY for the final assembly before
4720    using the matrix.
4721 
4722    Level: beginner
4723 
4724 .seealso: MatAssemblyBegin(), MatSetValues(), PetscDrawOpenX(), MatView(), MatAssembled(), PetscViewerSocketOpen()
4725 @*/
4726 PetscErrorCode PETSCMAT_DLLEXPORT MatAssemblyEnd(Mat mat,MatAssemblyType type)
4727 {
4728   PetscErrorCode  ierr;
4729   static PetscInt inassm = 0;
4730   PetscTruth      flg = PETSC_FALSE;
4731 
4732   PetscFunctionBegin;
4733   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4734   PetscValidType(mat,1);
4735 
4736   inassm++;
4737   MatAssemblyEnd_InUse++;
4738   if (MatAssemblyEnd_InUse == 1) { /* Do the logging only the first time through */
4739     ierr = PetscLogEventBegin(MAT_AssemblyEnd,mat,0,0,0);CHKERRQ(ierr);
4740     if (mat->ops->assemblyend) {
4741       ierr = (*mat->ops->assemblyend)(mat,type);CHKERRQ(ierr);
4742     }
4743     ierr = PetscLogEventEnd(MAT_AssemblyEnd,mat,0,0,0);CHKERRQ(ierr);
4744   } else {
4745     if (mat->ops->assemblyend) {
4746       ierr = (*mat->ops->assemblyend)(mat,type);CHKERRQ(ierr);
4747     }
4748   }
4749 
4750   /* Flush assembly is not a true assembly */
4751   if (type != MAT_FLUSH_ASSEMBLY) {
4752     mat->assembled  = PETSC_TRUE; mat->num_ass++;
4753   }
4754   mat->insertmode = NOT_SET_VALUES;
4755   MatAssemblyEnd_InUse--;
4756   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4757   if (!mat->symmetric_eternal) {
4758     mat->symmetric_set              = PETSC_FALSE;
4759     mat->hermitian_set              = PETSC_FALSE;
4760     mat->structurally_symmetric_set = PETSC_FALSE;
4761   }
4762   if (inassm == 1 && type != MAT_FLUSH_ASSEMBLY) {
4763     ierr = MatView_Private(mat);CHKERRQ(ierr);
4764     ierr = PetscOptionsGetTruth(((PetscObject)mat)->prefix,"-mat_is_symmetric",&flg,PETSC_NULL);CHKERRQ(ierr);
4765     if (flg) {
4766       PetscReal tol = 0.0;
4767       ierr = PetscOptionsGetReal(((PetscObject)mat)->prefix,"-mat_is_symmetric",&tol,PETSC_NULL);CHKERRQ(ierr);
4768       ierr = MatIsSymmetric(mat,tol,&flg);CHKERRQ(ierr);
4769       if (flg) {
4770         ierr = PetscPrintf(((PetscObject)mat)->comm,"Matrix is symmetric (tolerance %G)\n",tol);CHKERRQ(ierr);
4771       } else {
4772         ierr = PetscPrintf(((PetscObject)mat)->comm,"Matrix is not symmetric (tolerance %G)\n",tol);CHKERRQ(ierr);
4773       }
4774     }
4775   }
4776   inassm--;
4777   PetscFunctionReturn(0);
4778 }
4779 
4780 #undef __FUNCT__
4781 #define __FUNCT__ "MatSetOption"
4782 /*@
4783    MatSetOption - Sets a parameter option for a matrix. Some options
4784    may be specific to certain storage formats.  Some options
4785    determine how values will be inserted (or added). Sorted,
4786    row-oriented input will generally assemble the fastest. The default
4787    is row-oriented, nonsorted input.
4788 
4789    Collective on Mat
4790 
4791    Input Parameters:
4792 +  mat - the matrix
4793 .  option - the option, one of those listed below (and possibly others),
4794 -  flg - turn the option on (PETSC_TRUE) or off (PETSC_FALSE)
4795 
4796   Options Describing Matrix Structure:
4797 +    MAT_SYMMETRIC - symmetric in terms of both structure and value
4798 .    MAT_HERMITIAN - transpose is the complex conjugation
4799 .    MAT_STRUCTURALLY_SYMMETRIC - symmetric nonzero structure
4800 -    MAT_SYMMETRY_ETERNAL - if you would like the symmetry/Hermitian flag
4801                             you set to be kept with all future use of the matrix
4802                             including after MatAssemblyBegin/End() which could
4803                             potentially change the symmetry structure, i.e. you
4804                             KNOW the matrix will ALWAYS have the property you set.
4805 
4806 
4807    Options For Use with MatSetValues():
4808    Insert a logically dense subblock, which can be
4809 .    MAT_ROW_ORIENTED - row-oriented (default)
4810 
4811    Note these options reflect the data you pass in with MatSetValues(); it has
4812    nothing to do with how the data is stored internally in the matrix
4813    data structure.
4814 
4815    When (re)assembling a matrix, we can restrict the input for
4816    efficiency/debugging purposes.  These options include
4817 +    MAT_NEW_NONZERO_LOCATIONS - additional insertions will be
4818         allowed if they generate a new nonzero
4819 .    MAT_NEW_DIAGONALS - new diagonals will be allowed (for block diagonal format only)
4820 .    MAT_IGNORE_OFF_PROC_ENTRIES - drops off-processor entries
4821 .    MAT_NEW_NONZERO_LOCATION_ERR - generates an error for new matrix entry
4822 -    MAT_USE_HASH_TABLE - uses a hash table to speed up matrix assembly
4823 
4824    Notes:
4825    Some options are relevant only for particular matrix types and
4826    are thus ignored by others.  Other options are not supported by
4827    certain matrix types and will generate an error message if set.
4828 
4829    If using a Fortran 77 module to compute a matrix, one may need to
4830    use the column-oriented option (or convert to the row-oriented
4831    format).
4832 
4833    MAT_NEW_NONZERO_LOCATIONS set to PETSC_FALSE indicates that any add or insertion
4834    that would generate a new entry in the nonzero structure is instead
4835    ignored.  Thus, if memory has not alredy been allocated for this particular
4836    data, then the insertion is ignored. For dense matrices, in which
4837    the entire array is allocated, no entries are ever ignored.
4838    Set after the first MatAssemblyEnd()
4839 
4840    MAT_NEW_NONZERO_LOCATION_ERR indicates that any add or insertion
4841    that would generate a new entry in the nonzero structure instead produces
4842    an error. (Currently supported for AIJ and BAIJ formats only.)
4843    This is a useful flag when using SAME_NONZERO_PATTERN in calling
4844    KSPSetOperators() to ensure that the nonzero pattern truely does
4845    remain unchanged. Set after the first MatAssemblyEnd()
4846 
4847    MAT_NEW_NONZERO_ALLOCATION_ERR indicates that any add or insertion
4848    that would generate a new entry that has not been preallocated will
4849    instead produce an error. (Currently supported for AIJ and BAIJ formats
4850    only.) This is a useful flag when debugging matrix memory preallocation.
4851 
4852    MAT_IGNORE_OFF_PROC_ENTRIES indicates entries destined for
4853    other processors should be dropped, rather than stashed.
4854    This is useful if you know that the "owning" processor is also
4855    always generating the correct matrix entries, so that PETSc need
4856    not transfer duplicate entries generated on another processor.
4857 
4858    MAT_USE_HASH_TABLE indicates that a hash table be used to improve the
4859    searches during matrix assembly. When this flag is set, the hash table
4860    is created during the first Matrix Assembly. This hash table is
4861    used the next time through, during MatSetVaules()/MatSetVaulesBlocked()
4862    to improve the searching of indices. MAT_NEW_NONZERO_LOCATIONS flag
4863    should be used with MAT_USE_HASH_TABLE flag. This option is currently
4864    supported by MATMPIBAIJ format only.
4865 
4866    MAT_KEEP_NONZERO_PATTERN indicates when MatZeroRows() is called the zeroed entries
4867    are kept in the nonzero structure
4868 
4869    MAT_IGNORE_ZERO_ENTRIES - for AIJ/IS matrices this will stop zero values from creating
4870    a zero location in the matrix
4871 
4872    MAT_USE_INODES - indicates using inode version of the code - works with AIJ and
4873    ROWBS matrix types
4874 
4875    Level: intermediate
4876 
4877    Concepts: matrices^setting options
4878 
4879 @*/
4880 PetscErrorCode PETSCMAT_DLLEXPORT MatSetOption(Mat mat,MatOption op,PetscTruth flg)
4881 {
4882   PetscErrorCode ierr;
4883 
4884   PetscFunctionBegin;
4885   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4886   PetscValidType(mat,1);
4887   if (((int) op) < 0 || ((int) op) >= NUM_MAT_OPTIONS) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Options %d is out of range",(int)op);
4888   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4889   switch (op) {
4890   case MAT_SYMMETRIC:
4891     mat->symmetric                  = flg;
4892     if (flg) mat->structurally_symmetric = PETSC_TRUE;
4893     mat->symmetric_set              = PETSC_TRUE;
4894     mat->structurally_symmetric_set = flg;
4895     break;
4896   case MAT_HERMITIAN:
4897     mat->hermitian                  = flg;
4898     if (flg) mat->structurally_symmetric = PETSC_TRUE;
4899     mat->hermitian_set              = PETSC_TRUE;
4900     mat->structurally_symmetric_set = flg;
4901     break;
4902   case MAT_STRUCTURALLY_SYMMETRIC:
4903     mat->structurally_symmetric     = flg;
4904     mat->structurally_symmetric_set = PETSC_TRUE;
4905     break;
4906   case MAT_SYMMETRY_ETERNAL:
4907     mat->symmetric_eternal          = flg;
4908     break;
4909   default:
4910     break;
4911   }
4912   if (mat->ops->setoption) {
4913     ierr = (*mat->ops->setoption)(mat,op,flg);CHKERRQ(ierr);
4914   }
4915   PetscFunctionReturn(0);
4916 }
4917 
4918 #undef __FUNCT__
4919 #define __FUNCT__ "MatZeroEntries"
4920 /*@
4921    MatZeroEntries - Zeros all entries of a matrix.  For sparse matrices
4922    this routine retains the old nonzero structure.
4923 
4924    Collective on Mat
4925 
4926    Input Parameters:
4927 .  mat - the matrix
4928 
4929    Level: intermediate
4930 
4931    Concepts: matrices^zeroing
4932 
4933 .seealso: MatZeroRows()
4934 @*/
4935 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroEntries(Mat mat)
4936 {
4937   PetscErrorCode ierr;
4938 
4939   PetscFunctionBegin;
4940   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4941   PetscValidType(mat,1);
4942   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4943   if (mat->insertmode != NOT_SET_VALUES) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for matrices where you have set values but not yet assembled");
4944   if (!mat->ops->zeroentries) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
4945   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4946 
4947   ierr = PetscLogEventBegin(MAT_ZeroEntries,mat,0,0,0);CHKERRQ(ierr);
4948   ierr = (*mat->ops->zeroentries)(mat);CHKERRQ(ierr);
4949   ierr = PetscLogEventEnd(MAT_ZeroEntries,mat,0,0,0);CHKERRQ(ierr);
4950   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4951   PetscFunctionReturn(0);
4952 }
4953 
4954 #undef __FUNCT__
4955 #define __FUNCT__ "MatZeroRows"
4956 /*@C
4957    MatZeroRows - Zeros all entries (except possibly the main diagonal)
4958    of a set of rows of a matrix.
4959 
4960    Collective on Mat
4961 
4962    Input Parameters:
4963 +  mat - the matrix
4964 .  numRows - the number of rows to remove
4965 .  rows - the global row indices
4966 -  diag - value put in all diagonals of eliminated rows (0.0 will even eliminate diagonal entry)
4967 
4968    Notes:
4969    For the AIJ and BAIJ matrix formats this removes the old nonzero structure,
4970    but does not release memory.  For the dense and block diagonal
4971    formats this does not alter the nonzero structure.
4972 
4973    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
4974    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
4975    merely zeroed.
4976 
4977    The user can set a value in the diagonal entry (or for the AIJ and
4978    row formats can optionally remove the main diagonal entry from the
4979    nonzero structure as well, by passing 0.0 as the final argument).
4980 
4981    For the parallel case, all processes that share the matrix (i.e.,
4982    those in the communicator used for matrix creation) MUST call this
4983    routine, regardless of whether any rows being zeroed are owned by
4984    them.
4985 
4986    Each processor can indicate any rows in the entire matrix to be zeroed (i.e. each process does NOT have to
4987    list only rows local to itself).
4988 
4989    Level: intermediate
4990 
4991    Concepts: matrices^zeroing rows
4992 
4993 .seealso: MatZeroRowsIS(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption()
4994 @*/
4995 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRows(Mat mat,PetscInt numRows,const PetscInt rows[],PetscScalar diag)
4996 {
4997   PetscErrorCode ierr;
4998 
4999   PetscFunctionBegin;
5000   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5001   PetscValidType(mat,1);
5002   if (numRows) PetscValidIntPointer(rows,3);
5003   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5004   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5005   if (!mat->ops->zerorows) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5006   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5007 
5008   ierr = (*mat->ops->zerorows)(mat,numRows,rows,diag);CHKERRQ(ierr);
5009   ierr = MatView_Private(mat);CHKERRQ(ierr);
5010   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5011   PetscFunctionReturn(0);
5012 }
5013 
5014 #undef __FUNCT__
5015 #define __FUNCT__ "MatZeroRowsIS"
5016 /*@C
5017    MatZeroRowsIS - Zeros all entries (except possibly the main diagonal)
5018    of a set of rows of a matrix.
5019 
5020    Collective on Mat
5021 
5022    Input Parameters:
5023 +  mat - the matrix
5024 .  is - index set of rows to remove
5025 -  diag - value put in all diagonals of eliminated rows
5026 
5027    Notes:
5028    For the AIJ and BAIJ matrix formats this removes the old nonzero structure,
5029    but does not release memory.  For the dense and block diagonal
5030    formats this does not alter the nonzero structure.
5031 
5032    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
5033    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
5034    merely zeroed.
5035 
5036    The user can set a value in the diagonal entry (or for the AIJ and
5037    row formats can optionally remove the main diagonal entry from the
5038    nonzero structure as well, by passing 0.0 as the final argument).
5039 
5040    For the parallel case, all processes that share the matrix (i.e.,
5041    those in the communicator used for matrix creation) MUST call this
5042    routine, regardless of whether any rows being zeroed are owned by
5043    them.
5044 
5045    Each processor should list the rows that IT wants zeroed
5046 
5047    Level: intermediate
5048 
5049    Concepts: matrices^zeroing rows
5050 
5051 .seealso: MatZeroRows(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption()
5052 @*/
5053 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsIS(Mat mat,IS is,PetscScalar diag)
5054 {
5055   PetscInt       numRows;
5056   const PetscInt *rows;
5057   PetscErrorCode ierr;
5058 
5059   PetscFunctionBegin;
5060   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5061   PetscValidType(mat,1);
5062   PetscValidHeaderSpecific(is,IS_COOKIE,2);
5063   ierr = ISGetLocalSize(is,&numRows);CHKERRQ(ierr);
5064   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
5065   ierr = MatZeroRows(mat,numRows,rows,diag);CHKERRQ(ierr);
5066   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
5067   PetscFunctionReturn(0);
5068 }
5069 
5070 #undef __FUNCT__
5071 #define __FUNCT__ "MatZeroRowsLocal"
5072 /*@C
5073    MatZeroRowsLocal - Zeros all entries (except possibly the main diagonal)
5074    of a set of rows of a matrix; using local numbering of rows.
5075 
5076    Collective on Mat
5077 
5078    Input Parameters:
5079 +  mat - the matrix
5080 .  numRows - the number of rows to remove
5081 .  rows - the global row indices
5082 -  diag - value put in all diagonals of eliminated rows
5083 
5084    Notes:
5085    Before calling MatZeroRowsLocal(), the user must first set the
5086    local-to-global mapping by calling MatSetLocalToGlobalMapping().
5087 
5088    For the AIJ matrix formats this removes the old nonzero structure,
5089    but does not release memory.  For the dense and block diagonal
5090    formats this does not alter the nonzero structure.
5091 
5092    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
5093    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
5094    merely zeroed.
5095 
5096    The user can set a value in the diagonal entry (or for the AIJ and
5097    row formats can optionally remove the main diagonal entry from the
5098    nonzero structure as well, by passing 0.0 as the final argument).
5099 
5100    Level: intermediate
5101 
5102    Concepts: matrices^zeroing
5103 
5104 .seealso: MatZeroRows(), MatZeroRowsLocalIS(), MatZeroEntries(), MatZeroRows(), MatSetLocalToGlobalMapping
5105 @*/
5106 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsLocal(Mat mat,PetscInt numRows,const PetscInt rows[],PetscScalar diag)
5107 {
5108   PetscErrorCode ierr;
5109 
5110   PetscFunctionBegin;
5111   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5112   PetscValidType(mat,1);
5113   if (numRows) PetscValidIntPointer(rows,3);
5114   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5115   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5116   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5117 
5118   if (mat->ops->zerorowslocal) {
5119     ierr = (*mat->ops->zerorowslocal)(mat,numRows,rows,diag);CHKERRQ(ierr);
5120   } else {
5121     IS             is, newis;
5122     const PetscInt *newRows;
5123 
5124     if (!mat->mapping) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Need to provide local to global mapping to matrix first");
5125     ierr = ISCreateGeneral(PETSC_COMM_SELF,numRows,rows,&is);CHKERRQ(ierr);
5126     ierr = ISLocalToGlobalMappingApplyIS(mat->mapping,is,&newis);CHKERRQ(ierr);
5127     ierr = ISGetIndices(newis,&newRows);CHKERRQ(ierr);
5128     ierr = (*mat->ops->zerorows)(mat,numRows,newRows,diag);CHKERRQ(ierr);
5129     ierr = ISRestoreIndices(newis,&newRows);CHKERRQ(ierr);
5130     ierr = ISDestroy(newis);CHKERRQ(ierr);
5131     ierr = ISDestroy(is);CHKERRQ(ierr);
5132   }
5133   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5134   PetscFunctionReturn(0);
5135 }
5136 
5137 #undef __FUNCT__
5138 #define __FUNCT__ "MatZeroRowsLocalIS"
5139 /*@C
5140    MatZeroRowsLocalIS - Zeros all entries (except possibly the main diagonal)
5141    of a set of rows of a matrix; using local numbering of rows.
5142 
5143    Collective on Mat
5144 
5145    Input Parameters:
5146 +  mat - the matrix
5147 .  is - index set of rows to remove
5148 -  diag - value put in all diagonals of eliminated rows
5149 
5150    Notes:
5151    Before calling MatZeroRowsLocalIS(), the user must first set the
5152    local-to-global mapping by calling MatSetLocalToGlobalMapping().
5153 
5154    For the AIJ matrix formats this removes the old nonzero structure,
5155    but does not release memory.  For the dense and block diagonal
5156    formats this does not alter the nonzero structure.
5157 
5158    If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure
5159    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
5160    merely zeroed.
5161 
5162    The user can set a value in the diagonal entry (or for the AIJ and
5163    row formats can optionally remove the main diagonal entry from the
5164    nonzero structure as well, by passing 0.0 as the final argument).
5165 
5166    Level: intermediate
5167 
5168    Concepts: matrices^zeroing
5169 
5170 .seealso: MatZeroRows(), MatZeroRowsLocal(), MatZeroEntries(), MatZeroRows(), MatSetLocalToGlobalMapping
5171 @*/
5172 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsLocalIS(Mat mat,IS is,PetscScalar diag)
5173 {
5174   PetscErrorCode ierr;
5175   PetscInt       numRows;
5176   const PetscInt *rows;
5177 
5178   PetscFunctionBegin;
5179   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5180   PetscValidType(mat,1);
5181   PetscValidHeaderSpecific(is,IS_COOKIE,2);
5182   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5183   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5184   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5185 
5186   ierr = ISGetLocalSize(is,&numRows);CHKERRQ(ierr);
5187   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
5188   ierr = MatZeroRowsLocal(mat,numRows,rows,diag);CHKERRQ(ierr);
5189   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
5190   PetscFunctionReturn(0);
5191 }
5192 
5193 #undef __FUNCT__
5194 #define __FUNCT__ "MatGetSize"
5195 /*@
5196    MatGetSize - Returns the numbers of rows and columns in a matrix.
5197 
5198    Not Collective
5199 
5200    Input Parameter:
5201 .  mat - the matrix
5202 
5203    Output Parameters:
5204 +  m - the number of global rows
5205 -  n - the number of global columns
5206 
5207    Note: both output parameters can be PETSC_NULL on input.
5208 
5209    Level: beginner
5210 
5211    Concepts: matrices^size
5212 
5213 .seealso: MatGetLocalSize()
5214 @*/
5215 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSize(Mat mat,PetscInt *m,PetscInt* n)
5216 {
5217   PetscFunctionBegin;
5218   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5219   if (m) *m = mat->rmap->N;
5220   if (n) *n = mat->cmap->N;
5221   PetscFunctionReturn(0);
5222 }
5223 
5224 #undef __FUNCT__
5225 #define __FUNCT__ "MatGetLocalSize"
5226 /*@
5227    MatGetLocalSize - Returns the number of rows and columns in a matrix
5228    stored locally.  This information may be implementation dependent, so
5229    use with care.
5230 
5231    Not Collective
5232 
5233    Input Parameters:
5234 .  mat - the matrix
5235 
5236    Output Parameters:
5237 +  m - the number of local rows
5238 -  n - the number of local columns
5239 
5240    Note: both output parameters can be PETSC_NULL on input.
5241 
5242    Level: beginner
5243 
5244    Concepts: matrices^local size
5245 
5246 .seealso: MatGetSize()
5247 @*/
5248 PetscErrorCode PETSCMAT_DLLEXPORT MatGetLocalSize(Mat mat,PetscInt *m,PetscInt* n)
5249 {
5250   PetscFunctionBegin;
5251   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5252   if (m) PetscValidIntPointer(m,2);
5253   if (n) PetscValidIntPointer(n,3);
5254   if (m) *m = mat->rmap->n;
5255   if (n) *n = mat->cmap->n;
5256   PetscFunctionReturn(0);
5257 }
5258 
5259 #undef __FUNCT__
5260 #define __FUNCT__ "MatGetOwnershipRangeColumn"
5261 /*@
5262    MatGetOwnershipRangeColumn - Returns the range of matrix columns owned by
5263    this processor.
5264 
5265    Not Collective, unless matrix has not been allocated, then collective on Mat
5266 
5267    Input Parameters:
5268 .  mat - the matrix
5269 
5270    Output Parameters:
5271 +  m - the global index of the first local column
5272 -  n - one more than the global index of the last local column
5273 
5274    Notes: both output parameters can be PETSC_NULL on input.
5275 
5276    Level: developer
5277 
5278    Concepts: matrices^column ownership
5279 
5280 .seealso:  MatGetOwnershipRange(), MatGetOwnershipRanges(), MatGetOwnershipRangesColumn()
5281 
5282 @*/
5283 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRangeColumn(Mat mat,PetscInt *m,PetscInt* n)
5284 {
5285   PetscErrorCode ierr;
5286 
5287   PetscFunctionBegin;
5288   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5289   PetscValidType(mat,1);
5290   if (m) PetscValidIntPointer(m,2);
5291   if (n) PetscValidIntPointer(n,3);
5292   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5293   if (m) *m = mat->cmap->rstart;
5294   if (n) *n = mat->cmap->rend;
5295   PetscFunctionReturn(0);
5296 }
5297 
5298 #undef __FUNCT__
5299 #define __FUNCT__ "MatGetOwnershipRange"
5300 /*@
5301    MatGetOwnershipRange - Returns the range of matrix rows owned by
5302    this processor, assuming that the matrix is laid out with the first
5303    n1 rows on the first processor, the next n2 rows on the second, etc.
5304    For certain parallel layouts this range may not be well defined.
5305 
5306    Not Collective, unless matrix has not been allocated, then collective on Mat
5307 
5308    Input Parameters:
5309 .  mat - the matrix
5310 
5311    Output Parameters:
5312 +  m - the global index of the first local row
5313 -  n - one more than the global index of the last local row
5314 
5315    Note: both output parameters can be PETSC_NULL on input.
5316 
5317    Level: beginner
5318 
5319    Concepts: matrices^row ownership
5320 
5321 .seealso:   MatGetOwnershipRanges(), MatGetOwnershipRangeColumn(), MatGetOwnershipRangesColumn()
5322 
5323 @*/
5324 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRange(Mat mat,PetscInt *m,PetscInt* n)
5325 {
5326   PetscErrorCode ierr;
5327 
5328   PetscFunctionBegin;
5329   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5330   PetscValidType(mat,1);
5331   if (m) PetscValidIntPointer(m,2);
5332   if (n) PetscValidIntPointer(n,3);
5333   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5334   if (m) *m = mat->rmap->rstart;
5335   if (n) *n = mat->rmap->rend;
5336   PetscFunctionReturn(0);
5337 }
5338 
5339 #undef __FUNCT__
5340 #define __FUNCT__ "MatGetOwnershipRanges"
5341 /*@C
5342    MatGetOwnershipRanges - Returns the range of matrix rows owned by
5343    each process
5344 
5345    Not Collective, unless matrix has not been allocated, then collective on Mat
5346 
5347    Input Parameters:
5348 .  mat - the matrix
5349 
5350    Output Parameters:
5351 .  ranges - start of each processors portion plus one more then the total length at the end
5352 
5353    Level: beginner
5354 
5355    Concepts: matrices^row ownership
5356 
5357 .seealso:   MatGetOwnershipRange(), MatGetOwnershipRangeColumn(), MatGetOwnershipRangesColumn()
5358 
5359 @*/
5360 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRanges(Mat mat,const PetscInt **ranges)
5361 {
5362   PetscErrorCode ierr;
5363 
5364   PetscFunctionBegin;
5365   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5366   PetscValidType(mat,1);
5367   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5368   ierr = PetscLayoutGetRanges(mat->rmap,ranges);CHKERRQ(ierr);
5369   PetscFunctionReturn(0);
5370 }
5371 
5372 #undef __FUNCT__
5373 #define __FUNCT__ "MatGetOwnershipRangesColumn"
5374 /*@C
5375    MatGetOwnershipRangesColumn - Returns the range of local columns for each process
5376 
5377    Not Collective, unless matrix has not been allocated, then collective on Mat
5378 
5379    Input Parameters:
5380 .  mat - the matrix
5381 
5382    Output Parameters:
5383 .  ranges - start of each processors portion plus one more then the total length at the end
5384 
5385    Level: beginner
5386 
5387    Concepts: matrices^column ownership
5388 
5389 .seealso:   MatGetOwnershipRange(), MatGetOwnershipRangeColumn(), MatGetOwnershipRanges()
5390 
5391 @*/
5392 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRangesColumn(Mat mat,const PetscInt **ranges)
5393 {
5394   PetscErrorCode ierr;
5395 
5396   PetscFunctionBegin;
5397   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5398   PetscValidType(mat,1);
5399   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5400   ierr = PetscLayoutGetRanges(mat->cmap,ranges);CHKERRQ(ierr);
5401   PetscFunctionReturn(0);
5402 }
5403 
5404 #undef __FUNCT__
5405 #define __FUNCT__ "MatILUFactorSymbolic"
5406 /*@C
5407    MatILUFactorSymbolic - Performs symbolic ILU factorization of a matrix.
5408    Uses levels of fill only, not drop tolerance. Use MatLUFactorNumeric()
5409    to complete the factorization.
5410 
5411    Collective on Mat
5412 
5413    Input Parameters:
5414 +  mat - the matrix
5415 .  row - row permutation
5416 .  column - column permutation
5417 -  info - structure containing
5418 $      levels - number of levels of fill.
5419 $      expected fill - as ratio of original fill.
5420 $      1 or 0 - indicating force fill on diagonal (improves robustness for matrices
5421                 missing diagonal entries)
5422 
5423    Output Parameters:
5424 .  fact - new matrix that has been symbolically factored
5425 
5426    Notes:
5427    See the users manual for additional information about
5428    choosing the fill factor for better efficiency.
5429 
5430    Most users should employ the simplified KSP interface for linear solvers
5431    instead of working directly with matrix algebra routines such as this.
5432    See, e.g., KSPCreate().
5433 
5434    Level: developer
5435 
5436   Concepts: matrices^symbolic LU factorization
5437   Concepts: matrices^factorization
5438   Concepts: LU^symbolic factorization
5439 
5440 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor()
5441           MatGetOrdering(), MatFactorInfo
5442 
5443     Developer Note: fortran interface is not autogenerated as the f90
5444     interface defintion cannot be generated correctly [due to MatFactorInfo]
5445 
5446 @*/
5447 PetscErrorCode PETSCMAT_DLLEXPORT MatILUFactorSymbolic(Mat fact,Mat mat,IS row,IS col,const MatFactorInfo *info)
5448 {
5449   PetscErrorCode ierr;
5450 
5451   PetscFunctionBegin;
5452   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5453   PetscValidType(mat,1);
5454   PetscValidHeaderSpecific(row,IS_COOKIE,2);
5455   PetscValidHeaderSpecific(col,IS_COOKIE,3);
5456   PetscValidPointer(info,4);
5457   PetscValidPointer(fact,5);
5458   if (info->levels < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Levels of fill negative %D",(PetscInt)info->levels);
5459   if (info->fill < 1.0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Expected fill less than 1.0 %G",info->fill);
5460   if (!(fact)->ops->ilufactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic ILU",((PetscObject)mat)->type_name);
5461   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5462   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5463   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5464 
5465   ierr = PetscLogEventBegin(MAT_ILUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
5466   ierr = (fact->ops->ilufactorsymbolic)(fact,mat,row,col,info);CHKERRQ(ierr);
5467   ierr = PetscLogEventEnd(MAT_ILUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
5468   PetscFunctionReturn(0);
5469 }
5470 
5471 #undef __FUNCT__
5472 #define __FUNCT__ "MatICCFactorSymbolic"
5473 /*@C
5474    MatICCFactorSymbolic - Performs symbolic incomplete
5475    Cholesky factorization for a symmetric matrix.  Use
5476    MatCholeskyFactorNumeric() to complete the factorization.
5477 
5478    Collective on Mat
5479 
5480    Input Parameters:
5481 +  mat - the matrix
5482 .  perm - row and column permutation
5483 -  info - structure containing
5484 $      levels - number of levels of fill.
5485 $      expected fill - as ratio of original fill.
5486 
5487    Output Parameter:
5488 .  fact - the factored matrix
5489 
5490    Notes:
5491    Most users should employ the KSP interface for linear solvers
5492    instead of working directly with matrix algebra routines such as this.
5493    See, e.g., KSPCreate().
5494 
5495    Level: developer
5496 
5497   Concepts: matrices^symbolic incomplete Cholesky factorization
5498   Concepts: matrices^factorization
5499   Concepts: Cholsky^symbolic factorization
5500 
5501 .seealso: MatCholeskyFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
5502 
5503     Developer Note: fortran interface is not autogenerated as the f90
5504     interface defintion cannot be generated correctly [due to MatFactorInfo]
5505 
5506 @*/
5507 PetscErrorCode PETSCMAT_DLLEXPORT MatICCFactorSymbolic(Mat fact,Mat mat,IS perm,const MatFactorInfo *info)
5508 {
5509   PetscErrorCode ierr;
5510 
5511   PetscFunctionBegin;
5512   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5513   PetscValidType(mat,1);
5514   PetscValidHeaderSpecific(perm,IS_COOKIE,2);
5515   PetscValidPointer(info,3);
5516   PetscValidPointer(fact,4);
5517   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5518   if (info->levels < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Levels negative %D",(PetscInt) info->levels);
5519   if (info->fill < 1.0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Expected fill less than 1.0 %G",info->fill);
5520   if (!(fact)->ops->iccfactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic ICC",((PetscObject)mat)->type_name);
5521   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5522   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5523 
5524   ierr = PetscLogEventBegin(MAT_ICCFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
5525   ierr = (fact->ops->iccfactorsymbolic)(fact,mat,perm,info);CHKERRQ(ierr);
5526   ierr = PetscLogEventEnd(MAT_ICCFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
5527   PetscFunctionReturn(0);
5528 }
5529 
5530 #undef __FUNCT__
5531 #define __FUNCT__ "MatGetArray"
5532 /*@C
5533    MatGetArray - Returns a pointer to the element values in the matrix.
5534    The result of this routine is dependent on the underlying matrix data
5535    structure, and may not even work for certain matrix types.  You MUST
5536    call MatRestoreArray() when you no longer need to access the array.
5537 
5538    Not Collective
5539 
5540    Input Parameter:
5541 .  mat - the matrix
5542 
5543    Output Parameter:
5544 .  v - the location of the values
5545 
5546 
5547    Fortran Note:
5548    This routine is used differently from Fortran, e.g.,
5549 .vb
5550         Mat         mat
5551         PetscScalar mat_array(1)
5552         PetscOffset i_mat
5553         PetscErrorCode ierr
5554         call MatGetArray(mat,mat_array,i_mat,ierr)
5555 
5556   C  Access first local entry in matrix; note that array is
5557   C  treated as one dimensional
5558         value = mat_array(i_mat + 1)
5559 
5560         [... other code ...]
5561         call MatRestoreArray(mat,mat_array,i_mat,ierr)
5562 .ve
5563 
5564    See the Fortran chapter of the users manual and
5565    petsc/src/mat/examples/tests for details.
5566 
5567    Level: advanced
5568 
5569    Concepts: matrices^access array
5570 
5571 .seealso: MatRestoreArray(), MatGetArrayF90(), MatGetRowIJ()
5572 @*/
5573 PetscErrorCode PETSCMAT_DLLEXPORT MatGetArray(Mat mat,PetscScalar *v[])
5574 {
5575   PetscErrorCode ierr;
5576 
5577   PetscFunctionBegin;
5578   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5579   PetscValidType(mat,1);
5580   PetscValidPointer(v,2);
5581   if (!mat->ops->getarray) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5582   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5583   ierr = (*mat->ops->getarray)(mat,v);CHKERRQ(ierr);
5584   CHKMEMQ;
5585   PetscFunctionReturn(0);
5586 }
5587 
5588 #undef __FUNCT__
5589 #define __FUNCT__ "MatRestoreArray"
5590 /*@C
5591    MatRestoreArray - Restores the matrix after MatGetArray() has been called.
5592 
5593    Not Collective
5594 
5595    Input Parameter:
5596 +  mat - the matrix
5597 -  v - the location of the values
5598 
5599    Fortran Note:
5600    This routine is used differently from Fortran, e.g.,
5601 .vb
5602         Mat         mat
5603         PetscScalar mat_array(1)
5604         PetscOffset i_mat
5605         PetscErrorCode ierr
5606         call MatGetArray(mat,mat_array,i_mat,ierr)
5607 
5608   C  Access first local entry in matrix; note that array is
5609   C  treated as one dimensional
5610         value = mat_array(i_mat + 1)
5611 
5612         [... other code ...]
5613         call MatRestoreArray(mat,mat_array,i_mat,ierr)
5614 .ve
5615 
5616    See the Fortran chapter of the users manual and
5617    petsc/src/mat/examples/tests for details
5618 
5619    Level: advanced
5620 
5621 .seealso: MatGetArray(), MatRestoreArrayF90()
5622 @*/
5623 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreArray(Mat mat,PetscScalar *v[])
5624 {
5625   PetscErrorCode ierr;
5626 
5627   PetscFunctionBegin;
5628   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5629   PetscValidType(mat,1);
5630   PetscValidPointer(v,2);
5631 #if defined(PETSC_USE_DEBUG)
5632   CHKMEMQ;
5633 #endif
5634   if (!mat->ops->restorearray) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5635   ierr = (*mat->ops->restorearray)(mat,v);CHKERRQ(ierr);
5636   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5637   PetscFunctionReturn(0);
5638 }
5639 
5640 #undef __FUNCT__
5641 #define __FUNCT__ "MatGetSubMatrices"
5642 /*@C
5643    MatGetSubMatrices - Extracts several submatrices from a matrix. If submat
5644    points to an array of valid matrices, they may be reused to store the new
5645    submatrices.
5646 
5647    Collective on Mat
5648 
5649    Input Parameters:
5650 +  mat - the matrix
5651 .  n   - the number of submatrixes to be extracted (on this processor, may be zero)
5652 .  irow, icol - index sets of rows and columns to extract
5653 -  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
5654 
5655    Output Parameter:
5656 .  submat - the array of submatrices
5657 
5658    Notes:
5659    MatGetSubMatrices() can extract ONLY sequential submatrices
5660    (from both sequential and parallel matrices). Use MatGetSubMatrix()
5661    to extract a parallel submatrix.
5662 
5663    When extracting submatrices from a parallel matrix, each processor can
5664    form a different submatrix by setting the rows and columns of its
5665    individual index sets according to the local submatrix desired.
5666 
5667    When finished using the submatrices, the user should destroy
5668    them with MatDestroyMatrices().
5669 
5670    MAT_REUSE_MATRIX can only be used when the nonzero structure of the
5671    original matrix has not changed from that last call to MatGetSubMatrices().
5672 
5673    This routine creates the matrices in submat; you should NOT create them before
5674    calling it. It also allocates the array of matrix pointers submat.
5675 
5676    For BAIJ matrices the index sets must respect the block structure, that is if they
5677    request one row/column in a block, they must request all rows/columns that are in
5678    that block. For example, if the block size is 2 you cannot request just row 0 and
5679    column 0.
5680 
5681    Fortran Note:
5682    The Fortran interface is slightly different from that given below; it
5683    requires one to pass in  as submat a Mat (integer) array of size at least m.
5684 
5685    Level: advanced
5686 
5687    Concepts: matrices^accessing submatrices
5688    Concepts: submatrices
5689 
5690 .seealso: MatDestroyMatrices(), MatGetSubMatrix(), MatGetRow(), MatGetDiagonal(), MatReuse
5691 @*/
5692 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[])
5693 {
5694   PetscErrorCode ierr;
5695   PetscInt        i;
5696   PetscTruth      eq;
5697 
5698   PetscFunctionBegin;
5699   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5700   PetscValidType(mat,1);
5701   if (n) {
5702     PetscValidPointer(irow,3);
5703     PetscValidHeaderSpecific(*irow,IS_COOKIE,3);
5704     PetscValidPointer(icol,4);
5705     PetscValidHeaderSpecific(*icol,IS_COOKIE,4);
5706   }
5707   PetscValidPointer(submat,6);
5708   if (n && scall == MAT_REUSE_MATRIX) {
5709     PetscValidPointer(*submat,6);
5710     PetscValidHeaderSpecific(**submat,MAT_COOKIE,6);
5711   }
5712   if (!mat->ops->getsubmatrices) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5713   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5714   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5715   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5716 
5717   ierr = PetscLogEventBegin(MAT_GetSubMatrices,mat,0,0,0);CHKERRQ(ierr);
5718   ierr = (*mat->ops->getsubmatrices)(mat,n,irow,icol,scall,submat);CHKERRQ(ierr);
5719   ierr = PetscLogEventEnd(MAT_GetSubMatrices,mat,0,0,0);CHKERRQ(ierr);
5720   for (i=0; i<n; i++) {
5721     if (mat->symmetric || mat->structurally_symmetric || mat->hermitian) {
5722       ierr = ISEqual(irow[i],icol[i],&eq);CHKERRQ(ierr);
5723       if (eq) {
5724 	if (mat->symmetric){
5725 	  ierr = MatSetOption((*submat)[i],MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
5726 	} else if (mat->hermitian) {
5727 	  ierr = MatSetOption((*submat)[i],MAT_HERMITIAN,PETSC_TRUE);CHKERRQ(ierr);
5728 	} else if (mat->structurally_symmetric) {
5729 	  ierr = MatSetOption((*submat)[i],MAT_STRUCTURALLY_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
5730 	}
5731       }
5732     }
5733   }
5734   PetscFunctionReturn(0);
5735 }
5736 
5737 #undef __FUNCT__
5738 #define __FUNCT__ "MatDestroyMatrices"
5739 /*@C
5740    MatDestroyMatrices - Destroys a set of matrices obtained with MatGetSubMatrices().
5741 
5742    Collective on Mat
5743 
5744    Input Parameters:
5745 +  n - the number of local matrices
5746 -  mat - the matrices (note that this is a pointer to the array of matrices, just to match the calling
5747                        sequence of MatGetSubMatrices())
5748 
5749    Level: advanced
5750 
5751     Notes: Frees not only the matrices, but also the array that contains the matrices
5752            In Fortran will not free the array.
5753 
5754 .seealso: MatGetSubMatrices()
5755 @*/
5756 PetscErrorCode PETSCMAT_DLLEXPORT MatDestroyMatrices(PetscInt n,Mat *mat[])
5757 {
5758   PetscErrorCode ierr;
5759   PetscInt       i;
5760 
5761   PetscFunctionBegin;
5762   if (n < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Trying to destroy negative number of matrices %D",n);
5763   PetscValidPointer(mat,2);
5764   for (i=0; i<n; i++) {
5765     ierr = MatDestroy((*mat)[i]);CHKERRQ(ierr);
5766   }
5767   /* memory is allocated even if n = 0 */
5768   ierr = PetscFree(*mat);CHKERRQ(ierr);
5769   PetscFunctionReturn(0);
5770 }
5771 
5772 #undef __FUNCT__
5773 #define __FUNCT__ "MatGetSeqNonzeroStructure"
5774 /*@C
5775    MatGetSeqNonzeroStructure - Extracts the sequential nonzero structure from a matrix.
5776 
5777    Collective on Mat
5778 
5779    Input Parameters:
5780 .  mat - the matrix
5781 
5782    Output Parameter:
5783 .  matstruct - the sequential matrix with the nonzero structure of mat
5784 
5785   Level: intermediate
5786 
5787 .seealso: MatDestroySeqNonzeroStructure(), MatGetSubMatrices(), MatDestroyMatrices()
5788 @*/
5789 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSeqNonzeroStructure(Mat mat,Mat *matstruct)
5790 {
5791   PetscErrorCode ierr;
5792 
5793   PetscFunctionBegin;
5794   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5795   PetscValidPointer(matstruct,2);
5796 
5797   PetscValidType(mat,1);
5798   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5799   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5800 
5801   if (!mat->ops->getseqnonzerostructure) SETERRQ1(PETSC_ERR_SUP,"Not for matrix type %s\n",((PetscObject)mat)->type_name);
5802   ierr = PetscLogEventBegin(MAT_GetSeqNonzeroStructure,mat,0,0,0);CHKERRQ(ierr);
5803   ierr = (*mat->ops->getseqnonzerostructure)(mat,matstruct);CHKERRQ(ierr);
5804   ierr = PetscLogEventEnd(MAT_GetSeqNonzeroStructure,mat,0,0,0);CHKERRQ(ierr);
5805   PetscFunctionReturn(0);
5806 }
5807 
5808 #undef __FUNCT__
5809 #define __FUNCT__ "MatDestroySeqNonzeroStructure"
5810 /*@C
5811    MatDestroySeqNonzeroStructure - Destroys matrix obtained with MatGetSeqNonzeroStructure().
5812 
5813    Collective on Mat
5814 
5815    Input Parameters:
5816 .  mat - the matrix (note that this is a pointer to the array of matrices, just to match the calling
5817                        sequence of MatGetSequentialNonzeroStructure())
5818 
5819    Level: advanced
5820 
5821     Notes: Frees not only the matrices, but also the array that contains the matrices
5822 
5823 .seealso: MatGetSeqNonzeroStructure()
5824 @*/
5825 PetscErrorCode PETSCMAT_DLLEXPORT MatDestroySeqNonzeroStructure(Mat *mat)
5826 {
5827   PetscErrorCode ierr;
5828 
5829   PetscFunctionBegin;
5830   PetscValidPointer(mat,1);
5831   ierr = MatDestroy(*mat);CHKERRQ(ierr);
5832   PetscFunctionReturn(0);
5833 }
5834 
5835 #undef __FUNCT__
5836 #define __FUNCT__ "MatIncreaseOverlap"
5837 /*@
5838    MatIncreaseOverlap - Given a set of submatrices indicated by index sets,
5839    replaces the index sets by larger ones that represent submatrices with
5840    additional overlap.
5841 
5842    Collective on Mat
5843 
5844    Input Parameters:
5845 +  mat - the matrix
5846 .  n   - the number of index sets
5847 .  is  - the array of index sets (these index sets will changed during the call)
5848 -  ov  - the additional overlap requested
5849 
5850    Level: developer
5851 
5852    Concepts: overlap
5853    Concepts: ASM^computing overlap
5854 
5855 .seealso: MatGetSubMatrices()
5856 @*/
5857 PetscErrorCode PETSCMAT_DLLEXPORT MatIncreaseOverlap(Mat mat,PetscInt n,IS is[],PetscInt ov)
5858 {
5859   PetscErrorCode ierr;
5860 
5861   PetscFunctionBegin;
5862   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5863   PetscValidType(mat,1);
5864   if (n < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Must have one or more domains, you have %D",n);
5865   if (n) {
5866     PetscValidPointer(is,3);
5867     PetscValidHeaderSpecific(*is,IS_COOKIE,3);
5868   }
5869   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5870   if (mat->factor)     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5871   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5872 
5873   if (!ov) PetscFunctionReturn(0);
5874   if (!mat->ops->increaseoverlap) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
5875   ierr = PetscLogEventBegin(MAT_IncreaseOverlap,mat,0,0,0);CHKERRQ(ierr);
5876   ierr = (*mat->ops->increaseoverlap)(mat,n,is,ov);CHKERRQ(ierr);
5877   ierr = PetscLogEventEnd(MAT_IncreaseOverlap,mat,0,0,0);CHKERRQ(ierr);
5878   PetscFunctionReturn(0);
5879 }
5880 
5881 #undef __FUNCT__
5882 #define __FUNCT__ "MatGetBlockSize"
5883 /*@
5884    MatGetBlockSize - Returns the matrix block size; useful especially for the
5885    block row and block diagonal formats.
5886 
5887    Not Collective
5888 
5889    Input Parameter:
5890 .  mat - the matrix
5891 
5892    Output Parameter:
5893 .  bs - block size
5894 
5895    Notes:
5896    Block row formats are MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ
5897 
5898    Level: intermediate
5899 
5900    Concepts: matrices^block size
5901 
5902 .seealso: MatCreateSeqBAIJ(), MatCreateMPIBAIJ()
5903 @*/
5904 PetscErrorCode PETSCMAT_DLLEXPORT MatGetBlockSize(Mat mat,PetscInt *bs)
5905 {
5906   PetscErrorCode ierr;
5907 
5908   PetscFunctionBegin;
5909   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5910   PetscValidType(mat,1);
5911   PetscValidIntPointer(bs,2);
5912   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5913   *bs = mat->rmap->bs;
5914   PetscFunctionReturn(0);
5915 }
5916 
5917 #undef __FUNCT__
5918 #define __FUNCT__ "MatSetBlockSize"
5919 /*@
5920    MatSetBlockSize - Sets the matrix block size; for many matrix types you
5921      cannot use this and MUST set the blocksize when you preallocate the matrix
5922 
5923    Collective on Mat
5924 
5925    Input Parameters:
5926 +  mat - the matrix
5927 -  bs - block size
5928 
5929    Notes:
5930      For BAIJ matrices, this just checks that the block size agrees with the BAIJ size,
5931      it is not possible to change BAIJ block sizes after preallocation.
5932 
5933    Level: intermediate
5934 
5935    Concepts: matrices^block size
5936 
5937 .seealso: MatCreateSeqBAIJ(), MatCreateMPIBAIJ(), MatGetBlockSize()
5938 @*/
5939 PetscErrorCode PETSCMAT_DLLEXPORT MatSetBlockSize(Mat mat,PetscInt bs)
5940 {
5941   PetscErrorCode ierr;
5942 
5943   PetscFunctionBegin;
5944   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5945   PetscValidType(mat,1);
5946   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5947   if (bs < 1) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Block size %d, must be positive",bs);
5948   if (mat->ops->setblocksize) {
5949     ierr = (*mat->ops->setblocksize)(mat,bs);CHKERRQ(ierr);
5950   } else {
5951     SETERRQ1(PETSC_ERR_ARG_INCOMP,"Cannot set the blocksize for matrix type %s",((PetscObject)mat)->type_name);
5952   }
5953   PetscFunctionReturn(0);
5954 }
5955 
5956 #undef __FUNCT__
5957 #define __FUNCT__ "MatGetRowIJ"
5958 /*@C
5959     MatGetRowIJ - Returns the compressed row storage i and j indices for sequential matrices.
5960 
5961    Collective on Mat
5962 
5963     Input Parameters:
5964 +   mat - the matrix
5965 .   shift -  0 or 1 indicating we want the indices starting at 0 or 1
5966 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
5967                 symmetrized
5968 -   inodecompressed - PETSC_TRUE or PETSC_FALSE  indicating if the nonzero structure of the
5969                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
5970                  always used.
5971 
5972     Output Parameters:
5973 +   n - number of rows in the (possibly compressed) matrix
5974 .   ia - the row pointers [of length n+1]
5975 .   ja - the column indices
5976 -   done - indicates if the routine actually worked and returned appropriate ia[] and ja[] arrays; callers
5977            are responsible for handling the case when done == PETSC_FALSE and ia and ja are not set
5978 
5979     Level: developer
5980 
5981     Notes: You CANNOT change any of the ia[] or ja[] values.
5982 
5983            Use MatRestoreRowIJ() when you are finished accessing the ia[] and ja[] values
5984 
5985     Fortran Node
5986 
5987            In Fortran use
5988 $           PetscInt ia(1), ja(1)
5989 $           PetscOffset iia, jja
5990 $      call MatGetRowIJ(mat,shift,symmetric,inodecompressed,n,ia,iia,ja,jja,done,ierr)
5991 $
5992 $          or
5993 $
5994 $           PetscScalar, pointer :: xx_v(:)
5995 $    call  MatGetRowIJF90(mat,shift,symmetric,inodecompressed,n,ia,ja,done,ierr)
5996 
5997 
5998        Acess the ith and jth entries via ia(iia + i) and ja(jja + j)
5999 
6000 .seealso: MatGetColumnIJ(), MatRestoreRowIJ(), MatGetArray()
6001 @*/
6002 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
6003 {
6004   PetscErrorCode ierr;
6005 
6006   PetscFunctionBegin;
6007   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6008   PetscValidType(mat,1);
6009   PetscValidIntPointer(n,4);
6010   if (ia) PetscValidIntPointer(ia,5);
6011   if (ja) PetscValidIntPointer(ja,6);
6012   PetscValidIntPointer(done,7);
6013   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6014   if (!mat->ops->getrowij) *done = PETSC_FALSE;
6015   else {
6016     *done = PETSC_TRUE;
6017     ierr = PetscLogEventBegin(MAT_GetRowIJ,mat,0,0,0);CHKERRQ(ierr);
6018     ierr  = (*mat->ops->getrowij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
6019     ierr = PetscLogEventEnd(MAT_GetRowIJ,mat,0,0,0);CHKERRQ(ierr);
6020   }
6021   PetscFunctionReturn(0);
6022 }
6023 
6024 #undef __FUNCT__
6025 #define __FUNCT__ "MatGetColumnIJ"
6026 /*@C
6027     MatGetColumnIJ - Returns the compressed column storage i and j indices for sequential matrices.
6028 
6029     Collective on Mat
6030 
6031     Input Parameters:
6032 +   mat - the matrix
6033 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
6034 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
6035                 symmetrized
6036 -   inodecompressed - PETSC_TRUE or PETSC_FALSE indicating if the nonzero structure of the
6037                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
6038                  always used.
6039 
6040     Output Parameters:
6041 +   n - number of columns in the (possibly compressed) matrix
6042 .   ia - the column pointers
6043 .   ja - the row indices
6044 -   done - PETSC_TRUE or PETSC_FALSE, indicating whether the values have been returned
6045 
6046     Level: developer
6047 
6048 .seealso: MatGetRowIJ(), MatRestoreColumnIJ()
6049 @*/
6050 PetscErrorCode PETSCMAT_DLLEXPORT MatGetColumnIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
6051 {
6052   PetscErrorCode ierr;
6053 
6054   PetscFunctionBegin;
6055   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6056   PetscValidType(mat,1);
6057   PetscValidIntPointer(n,4);
6058   if (ia) PetscValidIntPointer(ia,5);
6059   if (ja) PetscValidIntPointer(ja,6);
6060   PetscValidIntPointer(done,7);
6061   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6062   if (!mat->ops->getcolumnij) *done = PETSC_FALSE;
6063   else {
6064     *done = PETSC_TRUE;
6065     ierr  = (*mat->ops->getcolumnij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
6066   }
6067   PetscFunctionReturn(0);
6068 }
6069 
6070 #undef __FUNCT__
6071 #define __FUNCT__ "MatRestoreRowIJ"
6072 /*@C
6073     MatRestoreRowIJ - Call after you are completed with the ia,ja indices obtained with
6074     MatGetRowIJ().
6075 
6076     Collective on Mat
6077 
6078     Input Parameters:
6079 +   mat - the matrix
6080 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
6081 .   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
6082                 symmetrized
6083 -   inodecompressed -  PETSC_TRUE or PETSC_FALSE indicating if the nonzero structure of the
6084                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
6085                  always used.
6086 
6087     Output Parameters:
6088 +   n - size of (possibly compressed) matrix
6089 .   ia - the row pointers
6090 .   ja - the column indices
6091 -   done - PETSC_TRUE or PETSC_FALSE indicated that the values have been returned
6092 
6093     Level: developer
6094 
6095 .seealso: MatGetRowIJ(), MatRestoreColumnIJ()
6096 @*/
6097 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRowIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
6098 {
6099   PetscErrorCode ierr;
6100 
6101   PetscFunctionBegin;
6102   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6103   PetscValidType(mat,1);
6104   if (ia) PetscValidIntPointer(ia,5);
6105   if (ja) PetscValidIntPointer(ja,6);
6106   PetscValidIntPointer(done,7);
6107   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6108 
6109   if (!mat->ops->restorerowij) *done = PETSC_FALSE;
6110   else {
6111     *done = PETSC_TRUE;
6112     ierr  = (*mat->ops->restorerowij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
6113   }
6114   PetscFunctionReturn(0);
6115 }
6116 
6117 #undef __FUNCT__
6118 #define __FUNCT__ "MatRestoreColumnIJ"
6119 /*@C
6120     MatRestoreColumnIJ - Call after you are completed with the ia,ja indices obtained with
6121     MatGetColumnIJ().
6122 
6123     Collective on Mat
6124 
6125     Input Parameters:
6126 +   mat - the matrix
6127 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
6128 -   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
6129                 symmetrized
6130 -   inodecompressed - PETSC_TRUE or PETSC_FALSE indicating if the nonzero structure of the
6131                  inodes or the nonzero elements is wanted. For BAIJ matrices the compressed version is
6132                  always used.
6133 
6134     Output Parameters:
6135 +   n - size of (possibly compressed) matrix
6136 .   ia - the column pointers
6137 .   ja - the row indices
6138 -   done - PETSC_TRUE or PETSC_FALSE indicated that the values have been returned
6139 
6140     Level: developer
6141 
6142 .seealso: MatGetColumnIJ(), MatRestoreRowIJ()
6143 @*/
6144 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreColumnIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
6145 {
6146   PetscErrorCode ierr;
6147 
6148   PetscFunctionBegin;
6149   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6150   PetscValidType(mat,1);
6151   if (ia) PetscValidIntPointer(ia,5);
6152   if (ja) PetscValidIntPointer(ja,6);
6153   PetscValidIntPointer(done,7);
6154   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6155 
6156   if (!mat->ops->restorecolumnij) *done = PETSC_FALSE;
6157   else {
6158     *done = PETSC_TRUE;
6159     ierr  = (*mat->ops->restorecolumnij)(mat,shift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
6160   }
6161   PetscFunctionReturn(0);
6162 }
6163 
6164 #undef __FUNCT__
6165 #define __FUNCT__ "MatColoringPatch"
6166 /*@C
6167     MatColoringPatch -Used inside matrix coloring routines that
6168     use MatGetRowIJ() and/or MatGetColumnIJ().
6169 
6170     Collective on Mat
6171 
6172     Input Parameters:
6173 +   mat - the matrix
6174 .   ncolors - max color value
6175 .   n   - number of entries in colorarray
6176 -   colorarray - array indicating color for each column
6177 
6178     Output Parameters:
6179 .   iscoloring - coloring generated using colorarray information
6180 
6181     Level: developer
6182 
6183 .seealso: MatGetRowIJ(), MatGetColumnIJ()
6184 
6185 @*/
6186 PetscErrorCode PETSCMAT_DLLEXPORT MatColoringPatch(Mat mat,PetscInt ncolors,PetscInt n,ISColoringValue colorarray[],ISColoring *iscoloring)
6187 {
6188   PetscErrorCode ierr;
6189 
6190   PetscFunctionBegin;
6191   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6192   PetscValidType(mat,1);
6193   PetscValidIntPointer(colorarray,4);
6194   PetscValidPointer(iscoloring,5);
6195   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6196 
6197   if (!mat->ops->coloringpatch){
6198     ierr = ISColoringCreate(((PetscObject)mat)->comm,ncolors,n,colorarray,iscoloring);CHKERRQ(ierr);
6199   } else {
6200     ierr = (*mat->ops->coloringpatch)(mat,ncolors,n,colorarray,iscoloring);CHKERRQ(ierr);
6201   }
6202   PetscFunctionReturn(0);
6203 }
6204 
6205 
6206 #undef __FUNCT__
6207 #define __FUNCT__ "MatSetUnfactored"
6208 /*@
6209    MatSetUnfactored - Resets a factored matrix to be treated as unfactored.
6210 
6211    Collective on Mat
6212 
6213    Input Parameter:
6214 .  mat - the factored matrix to be reset
6215 
6216    Notes:
6217    This routine should be used only with factored matrices formed by in-place
6218    factorization via ILU(0) (or by in-place LU factorization for the MATSEQDENSE
6219    format).  This option can save memory, for example, when solving nonlinear
6220    systems with a matrix-free Newton-Krylov method and a matrix-based, in-place
6221    ILU(0) preconditioner.
6222 
6223    Note that one can specify in-place ILU(0) factorization by calling
6224 .vb
6225      PCType(pc,PCILU);
6226      PCFactorSeUseInPlace(pc);
6227 .ve
6228    or by using the options -pc_type ilu -pc_factor_in_place
6229 
6230    In-place factorization ILU(0) can also be used as a local
6231    solver for the blocks within the block Jacobi or additive Schwarz
6232    methods (runtime option: -sub_pc_factor_in_place).  See the discussion
6233    of these preconditioners in the users manual for details on setting
6234    local solver options.
6235 
6236    Most users should employ the simplified KSP interface for linear solvers
6237    instead of working directly with matrix algebra routines such as this.
6238    See, e.g., KSPCreate().
6239 
6240    Level: developer
6241 
6242 .seealso: PCFactorSetUseInPlace()
6243 
6244    Concepts: matrices^unfactored
6245 
6246 @*/
6247 PetscErrorCode PETSCMAT_DLLEXPORT MatSetUnfactored(Mat mat)
6248 {
6249   PetscErrorCode ierr;
6250 
6251   PetscFunctionBegin;
6252   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6253   PetscValidType(mat,1);
6254   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6255   mat->factor = MAT_FACTOR_NONE;
6256   if (!mat->ops->setunfactored) PetscFunctionReturn(0);
6257   ierr = (*mat->ops->setunfactored)(mat);CHKERRQ(ierr);
6258   PetscFunctionReturn(0);
6259 }
6260 
6261 /*MC
6262     MatGetArrayF90 - Accesses a matrix array from Fortran90.
6263 
6264     Synopsis:
6265     MatGetArrayF90(Mat x,{Scalar, pointer :: xx_v(:)},integer ierr)
6266 
6267     Not collective
6268 
6269     Input Parameter:
6270 .   x - matrix
6271 
6272     Output Parameters:
6273 +   xx_v - the Fortran90 pointer to the array
6274 -   ierr - error code
6275 
6276     Example of Usage:
6277 .vb
6278       PetscScalar, pointer xx_v(:)
6279       ....
6280       call MatGetArrayF90(x,xx_v,ierr)
6281       a = xx_v(3)
6282       call MatRestoreArrayF90(x,xx_v,ierr)
6283 .ve
6284 
6285     Notes:
6286     Not yet supported for all F90 compilers
6287 
6288     Level: advanced
6289 
6290 .seealso:  MatRestoreArrayF90(), MatGetArray(), MatRestoreArray()
6291 
6292     Concepts: matrices^accessing array
6293 
6294 M*/
6295 
6296 /*MC
6297     MatRestoreArrayF90 - Restores a matrix array that has been
6298     accessed with MatGetArrayF90().
6299 
6300     Synopsis:
6301     MatRestoreArrayF90(Mat x,{Scalar, pointer :: xx_v(:)},integer ierr)
6302 
6303     Not collective
6304 
6305     Input Parameters:
6306 +   x - matrix
6307 -   xx_v - the Fortran90 pointer to the array
6308 
6309     Output Parameter:
6310 .   ierr - error code
6311 
6312     Example of Usage:
6313 .vb
6314        PetscScalar, pointer xx_v(:)
6315        ....
6316        call MatGetArrayF90(x,xx_v,ierr)
6317        a = xx_v(3)
6318        call MatRestoreArrayF90(x,xx_v,ierr)
6319 .ve
6320 
6321     Notes:
6322     Not yet supported for all F90 compilers
6323 
6324     Level: advanced
6325 
6326 .seealso:  MatGetArrayF90(), MatGetArray(), MatRestoreArray()
6327 
6328 M*/
6329 
6330 
6331 #undef __FUNCT__
6332 #define __FUNCT__ "MatGetSubMatrix"
6333 /*@
6334     MatGetSubMatrix - Gets a single submatrix on the same number of processors
6335                       as the original matrix.
6336 
6337     Collective on Mat
6338 
6339     Input Parameters:
6340 +   mat - the original matrix
6341 .   isrow - parallel IS containing the rows this processor should obtain
6342 .   iscol - parallel IS containing all columns you wish to keep. Each process should list the columns that will be in IT's "diagonal part" in the new matrix.
6343 -   cll - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
6344 
6345     Output Parameter:
6346 .   newmat - the new submatrix, of the same type as the old
6347 
6348     Level: advanced
6349 
6350     Notes:
6351     The submatrix will be able to be multiplied with vectors using the same layout as iscol.
6352 
6353     The rows in isrow will be sorted into the same order as the original matrix on each process.
6354 
6355       The first time this is called you should use a cll of MAT_INITIAL_MATRIX,
6356    the MatGetSubMatrix() routine will create the newmat for you. Any additional calls
6357    to this routine with a mat of the same nonzero structure and with a call of MAT_REUSE_MATRIX
6358    will reuse the matrix generated the first time.  You should call MatDestroy() on newmat when
6359    you are finished using it.
6360 
6361     The communicator of the newly obtained matrix is ALWAYS the same as the communicator of
6362     the input matrix.
6363 
6364     If iscol is PETSC_NULL then all columns are obtained (not supported in Fortran).
6365 
6366    Example usage:
6367    Consider the following 8x8 matrix with 34 non-zero values, that is
6368    assembled across 3 processors. Lets assume that proc0 owns 3 rows,
6369    proc1 owns 3 rows, proc2 owns 2 rows. This division can be shown
6370    as follows:
6371 
6372 .vb
6373             1  2  0  |  0  3  0  |  0  4
6374     Proc0   0  5  6  |  7  0  0  |  8  0
6375             9  0 10  | 11  0  0  | 12  0
6376     -------------------------------------
6377            13  0 14  | 15 16 17  |  0  0
6378     Proc1   0 18  0  | 19 20 21  |  0  0
6379             0  0  0  | 22 23  0  | 24  0
6380     -------------------------------------
6381     Proc2  25 26 27  |  0  0 28  | 29  0
6382            30  0  0  | 31 32 33  |  0 34
6383 .ve
6384 
6385     Suppose isrow = [0 1 | 4 | 5 6] and iscol = [1 2 | 3 4 5 | 6].  The resulting submatrix is
6386 
6387 .vb
6388             2  0  |  0  3  0  |  0
6389     Proc0   5  6  |  7  0  0  |  8
6390     -------------------------------
6391     Proc1  18  0  | 19 20 21  |  0
6392     -------------------------------
6393     Proc2  26 27  |  0  0 28  | 29
6394             0  0  | 31 32 33  |  0
6395 .ve
6396 
6397 
6398     Concepts: matrices^submatrices
6399 
6400 .seealso: MatGetSubMatrices()
6401 @*/
6402 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat)
6403 {
6404   PetscErrorCode ierr;
6405   PetscMPIInt    size;
6406   Mat            *local;
6407   IS             iscoltmp;
6408 
6409   PetscFunctionBegin;
6410   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6411   PetscValidHeaderSpecific(isrow,IS_COOKIE,2);
6412   if (iscol) PetscValidHeaderSpecific(iscol,IS_COOKIE,3);
6413   PetscValidPointer(newmat,5);
6414   if (cll == MAT_REUSE_MATRIX) PetscValidHeaderSpecific(*newmat,MAT_COOKIE,5);
6415   PetscValidType(mat,1);
6416   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6417   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6418   ierr = MPI_Comm_size(((PetscObject)mat)->comm,&size);CHKERRQ(ierr);
6419 
6420   if (!iscol) {
6421     ierr = ISCreateStride(((PetscObject)mat)->comm,mat->cmap->n,mat->cmap->rstart,1,&iscoltmp);CHKERRQ(ierr);
6422   } else {
6423     iscoltmp = iscol;
6424   }
6425 
6426   /* if original matrix is on just one processor then use submatrix generated */
6427   if (mat->ops->getsubmatrices && !mat->ops->getsubmatrix && size == 1 && cll == MAT_REUSE_MATRIX) {
6428     ierr = MatGetSubMatrices(mat,1,&isrow,&iscoltmp,MAT_REUSE_MATRIX,&newmat);CHKERRQ(ierr);
6429     if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6430     PetscFunctionReturn(0);
6431   } else if (mat->ops->getsubmatrices && !mat->ops->getsubmatrix && size == 1) {
6432     ierr    = MatGetSubMatrices(mat,1,&isrow,&iscoltmp,MAT_INITIAL_MATRIX,&local);CHKERRQ(ierr);
6433     *newmat = *local;
6434     ierr    = PetscFree(local);CHKERRQ(ierr);
6435     if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6436     PetscFunctionReturn(0);
6437   } else if (!mat->ops->getsubmatrix) {
6438     /* Create a new matrix type that implements the operation using the full matrix */
6439     switch (cll) {
6440       case MAT_INITIAL_MATRIX:
6441         ierr = MatCreateSubMatrix(mat,isrow,iscoltmp,newmat);CHKERRQ(ierr);
6442         break;
6443       case MAT_REUSE_MATRIX:
6444         ierr = MatSubMatrixUpdate(*newmat,mat,isrow,iscoltmp);CHKERRQ(ierr);
6445         break;
6446       default: SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Invalid MatReuse, must be either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX");
6447     }
6448     if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6449     PetscFunctionReturn(0);
6450   }
6451 
6452   if (!mat->ops->getsubmatrix) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6453   ierr = (*mat->ops->getsubmatrix)(mat,isrow,iscoltmp,cll,newmat);CHKERRQ(ierr);
6454   if (!iscol) {ierr = ISDestroy(iscoltmp);CHKERRQ(ierr);}
6455   ierr = PetscObjectStateIncrease((PetscObject)*newmat);CHKERRQ(ierr);
6456   PetscFunctionReturn(0);
6457 }
6458 
6459 #undef __FUNCT__
6460 #define __FUNCT__ "MatStashSetInitialSize"
6461 /*@
6462    MatStashSetInitialSize - sets the sizes of the matrix stash, that is
6463    used during the assembly process to store values that belong to
6464    other processors.
6465 
6466    Not Collective
6467 
6468    Input Parameters:
6469 +  mat   - the matrix
6470 .  size  - the initial size of the stash.
6471 -  bsize - the initial size of the block-stash(if used).
6472 
6473    Options Database Keys:
6474 +   -matstash_initial_size <size> or <size0,size1,...sizep-1>
6475 -   -matstash_block_initial_size <bsize>  or <bsize0,bsize1,...bsizep-1>
6476 
6477    Level: intermediate
6478 
6479    Notes:
6480      The block-stash is used for values set with MatSetValuesBlocked() while
6481      the stash is used for values set with MatSetValues()
6482 
6483      Run with the option -info and look for output of the form
6484      MatAssemblyBegin_MPIXXX:Stash has MM entries, uses nn mallocs.
6485      to determine the appropriate value, MM, to use for size and
6486      MatAssemblyBegin_MPIXXX:Block-Stash has BMM entries, uses nn mallocs.
6487      to determine the value, BMM to use for bsize
6488 
6489    Concepts: stash^setting matrix size
6490    Concepts: matrices^stash
6491 
6492 .seealso: MatAssemblyBegin(), MatAssemblyEnd(), Mat, MatStashGetInfo()
6493 
6494 @*/
6495 PetscErrorCode PETSCMAT_DLLEXPORT MatStashSetInitialSize(Mat mat,PetscInt size, PetscInt bsize)
6496 {
6497   PetscErrorCode ierr;
6498 
6499   PetscFunctionBegin;
6500   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6501   PetscValidType(mat,1);
6502   ierr = MatStashSetInitialSize_Private(&mat->stash,size);CHKERRQ(ierr);
6503   ierr = MatStashSetInitialSize_Private(&mat->bstash,bsize);CHKERRQ(ierr);
6504   PetscFunctionReturn(0);
6505 }
6506 
6507 #undef __FUNCT__
6508 #define __FUNCT__ "MatInterpolateAdd"
6509 /*@
6510    MatInterpolateAdd - w = y + A*x or A'*x depending on the shape of
6511      the matrix
6512 
6513    Collective on Mat
6514 
6515    Input Parameters:
6516 +  mat   - the matrix
6517 .  x,y - the vectors
6518 -  w - where the result is stored
6519 
6520    Level: intermediate
6521 
6522    Notes:
6523     w may be the same vector as y.
6524 
6525     This allows one to use either the restriction or interpolation (its transpose)
6526     matrix to do the interpolation
6527 
6528     Concepts: interpolation
6529 
6530 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatRestrict()
6531 
6532 @*/
6533 PetscErrorCode PETSCMAT_DLLEXPORT MatInterpolateAdd(Mat A,Vec x,Vec y,Vec w)
6534 {
6535   PetscErrorCode ierr;
6536   PetscInt       M,N;
6537 
6538   PetscFunctionBegin;
6539   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6540   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
6541   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
6542   PetscValidHeaderSpecific(w,VEC_COOKIE,4);
6543   PetscValidType(A,1);
6544   ierr = MatPreallocated(A);CHKERRQ(ierr);
6545   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
6546   if (N > M) {
6547     ierr = MatMultTransposeAdd(A,x,y,w);CHKERRQ(ierr);
6548   } else {
6549     ierr = MatMultAdd(A,x,y,w);CHKERRQ(ierr);
6550   }
6551   PetscFunctionReturn(0);
6552 }
6553 
6554 #undef __FUNCT__
6555 #define __FUNCT__ "MatInterpolate"
6556 /*@
6557    MatInterpolate - y = A*x or A'*x depending on the shape of
6558      the matrix
6559 
6560    Collective on Mat
6561 
6562    Input Parameters:
6563 +  mat   - the matrix
6564 -  x,y - the vectors
6565 
6566    Level: intermediate
6567 
6568    Notes:
6569     This allows one to use either the restriction or interpolation (its transpose)
6570     matrix to do the interpolation
6571 
6572    Concepts: matrices^interpolation
6573 
6574 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatRestrict()
6575 
6576 @*/
6577 PetscErrorCode PETSCMAT_DLLEXPORT MatInterpolate(Mat A,Vec x,Vec y)
6578 {
6579   PetscErrorCode ierr;
6580   PetscInt       M,N;
6581 
6582   PetscFunctionBegin;
6583   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6584   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
6585   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
6586   PetscValidType(A,1);
6587   ierr = MatPreallocated(A);CHKERRQ(ierr);
6588   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
6589   if (N > M) {
6590     ierr = MatMultTranspose(A,x,y);CHKERRQ(ierr);
6591   } else {
6592     ierr = MatMult(A,x,y);CHKERRQ(ierr);
6593   }
6594   PetscFunctionReturn(0);
6595 }
6596 
6597 #undef __FUNCT__
6598 #define __FUNCT__ "MatRestrict"
6599 /*@
6600    MatRestrict - y = A*x or A'*x
6601 
6602    Collective on Mat
6603 
6604    Input Parameters:
6605 +  mat   - the matrix
6606 -  x,y - the vectors
6607 
6608    Level: intermediate
6609 
6610    Notes:
6611     This allows one to use either the restriction or interpolation (its transpose)
6612     matrix to do the restriction
6613 
6614    Concepts: matrices^restriction
6615 
6616 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatInterpolate()
6617 
6618 @*/
6619 PetscErrorCode PETSCMAT_DLLEXPORT MatRestrict(Mat A,Vec x,Vec y)
6620 {
6621   PetscErrorCode ierr;
6622   PetscInt       M,N;
6623 
6624   PetscFunctionBegin;
6625   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6626   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
6627   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
6628   PetscValidType(A,1);
6629   ierr = MatPreallocated(A);CHKERRQ(ierr);
6630 
6631   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
6632   if (N > M) {
6633     ierr = MatMult(A,x,y);CHKERRQ(ierr);
6634   } else {
6635     ierr = MatMultTranspose(A,x,y);CHKERRQ(ierr);
6636   }
6637   PetscFunctionReturn(0);
6638 }
6639 
6640 #undef __FUNCT__
6641 #define __FUNCT__ "MatNullSpaceAttach"
6642 /*@
6643    MatNullSpaceAttach - attaches a null space to a matrix.
6644         This null space will be removed from the resulting vector whenever
6645         MatMult() is called
6646 
6647    Collective on Mat
6648 
6649    Input Parameters:
6650 +  mat - the matrix
6651 -  nullsp - the null space object
6652 
6653    Level: developer
6654 
6655    Notes:
6656       Overwrites any previous null space that may have been attached
6657 
6658    Concepts: null space^attaching to matrix
6659 
6660 .seealso: MatCreate(), MatNullSpaceCreate()
6661 @*/
6662 PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceAttach(Mat mat,MatNullSpace nullsp)
6663 {
6664   PetscErrorCode ierr;
6665 
6666   PetscFunctionBegin;
6667   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6668   PetscValidType(mat,1);
6669   PetscValidHeaderSpecific(nullsp,MAT_NULLSPACE_COOKIE,2);
6670   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6671   ierr = PetscObjectReference((PetscObject)nullsp);CHKERRQ(ierr);
6672   if (mat->nullsp) { ierr = MatNullSpaceDestroy(mat->nullsp);CHKERRQ(ierr); }
6673   mat->nullsp = nullsp;
6674   PetscFunctionReturn(0);
6675 }
6676 
6677 #undef __FUNCT__
6678 #define __FUNCT__ "MatICCFactor"
6679 /*@C
6680    MatICCFactor - Performs in-place incomplete Cholesky factorization of matrix.
6681 
6682    Collective on Mat
6683 
6684    Input Parameters:
6685 +  mat - the matrix
6686 .  row - row/column permutation
6687 .  fill - expected fill factor >= 1.0
6688 -  level - level of fill, for ICC(k)
6689 
6690    Notes:
6691    Probably really in-place only when level of fill is zero, otherwise allocates
6692    new space to store factored matrix and deletes previous memory.
6693 
6694    Most users should employ the simplified KSP interface for linear solvers
6695    instead of working directly with matrix algebra routines such as this.
6696    See, e.g., KSPCreate().
6697 
6698    Level: developer
6699 
6700    Concepts: matrices^incomplete Cholesky factorization
6701    Concepts: Cholesky factorization
6702 
6703 .seealso: MatICCFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor()
6704 
6705     Developer Note: fortran interface is not autogenerated as the f90
6706     interface defintion cannot be generated correctly [due to MatFactorInfo]
6707 
6708 @*/
6709 PetscErrorCode PETSCMAT_DLLEXPORT MatICCFactor(Mat mat,IS row,const MatFactorInfo* info)
6710 {
6711   PetscErrorCode ierr;
6712 
6713   PetscFunctionBegin;
6714   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6715   PetscValidType(mat,1);
6716   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
6717   PetscValidPointer(info,3);
6718   if (mat->rmap->N != mat->cmap->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
6719   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6720   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6721   if (!mat->ops->iccfactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6722   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6723   ierr = (*mat->ops->iccfactor)(mat,row,info);CHKERRQ(ierr);
6724   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6725   PetscFunctionReturn(0);
6726 }
6727 
6728 #undef __FUNCT__
6729 #define __FUNCT__ "MatSetValuesAdic"
6730 /*@
6731    MatSetValuesAdic - Sets values computed with ADIC automatic differentiation into a matrix.
6732 
6733    Not Collective
6734 
6735    Input Parameters:
6736 +  mat - the matrix
6737 -  v - the values compute with ADIC
6738 
6739    Level: developer
6740 
6741    Notes:
6742      Must call MatSetColoring() before using this routine. Also this matrix must already
6743      have its nonzero pattern determined.
6744 
6745 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
6746           MatSetValues(), MatSetColoring(), MatSetValuesAdifor()
6747 @*/
6748 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesAdic(Mat mat,void *v)
6749 {
6750   PetscErrorCode ierr;
6751 
6752   PetscFunctionBegin;
6753   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6754   PetscValidType(mat,1);
6755   PetscValidPointer(mat,2);
6756 
6757   if (!mat->assembled) {
6758     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6759   }
6760   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6761   if (!mat->ops->setvaluesadic) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6762   ierr = (*mat->ops->setvaluesadic)(mat,v);CHKERRQ(ierr);
6763   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6764   ierr = MatView_Private(mat);CHKERRQ(ierr);
6765   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6766   PetscFunctionReturn(0);
6767 }
6768 
6769 
6770 #undef __FUNCT__
6771 #define __FUNCT__ "MatSetColoring"
6772 /*@
6773    MatSetColoring - Sets a coloring used by calls to MatSetValuesAdic()
6774 
6775    Not Collective
6776 
6777    Input Parameters:
6778 +  mat - the matrix
6779 -  coloring - the coloring
6780 
6781    Level: developer
6782 
6783 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
6784           MatSetValues(), MatSetValuesAdic()
6785 @*/
6786 PetscErrorCode PETSCMAT_DLLEXPORT MatSetColoring(Mat mat,ISColoring coloring)
6787 {
6788   PetscErrorCode ierr;
6789 
6790   PetscFunctionBegin;
6791   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6792   PetscValidType(mat,1);
6793   PetscValidPointer(coloring,2);
6794 
6795   if (!mat->assembled) {
6796     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6797   }
6798   if (!mat->ops->setcoloring) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6799   ierr = (*mat->ops->setcoloring)(mat,coloring);CHKERRQ(ierr);
6800   PetscFunctionReturn(0);
6801 }
6802 
6803 #undef __FUNCT__
6804 #define __FUNCT__ "MatSetValuesAdifor"
6805 /*@
6806    MatSetValuesAdifor - Sets values computed with automatic differentiation into a matrix.
6807 
6808    Not Collective
6809 
6810    Input Parameters:
6811 +  mat - the matrix
6812 .  nl - leading dimension of v
6813 -  v - the values compute with ADIFOR
6814 
6815    Level: developer
6816 
6817    Notes:
6818      Must call MatSetColoring() before using this routine. Also this matrix must already
6819      have its nonzero pattern determined.
6820 
6821 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
6822           MatSetValues(), MatSetColoring()
6823 @*/
6824 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesAdifor(Mat mat,PetscInt nl,void *v)
6825 {
6826   PetscErrorCode ierr;
6827 
6828   PetscFunctionBegin;
6829   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6830   PetscValidType(mat,1);
6831   PetscValidPointer(v,3);
6832 
6833   if (!mat->assembled) {
6834     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6835   }
6836   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6837   if (!mat->ops->setvaluesadifor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6838   ierr = (*mat->ops->setvaluesadifor)(mat,nl,v);CHKERRQ(ierr);
6839   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
6840   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6841   PetscFunctionReturn(0);
6842 }
6843 
6844 #undef __FUNCT__
6845 #define __FUNCT__ "MatDiagonalScaleLocal"
6846 /*@
6847    MatDiagonalScaleLocal - Scales columns of a matrix given the scaling values including the
6848          ghosted ones.
6849 
6850    Not Collective
6851 
6852    Input Parameters:
6853 +  mat - the matrix
6854 -  diag = the diagonal values, including ghost ones
6855 
6856    Level: developer
6857 
6858    Notes: Works only for MPIAIJ and MPIBAIJ matrices
6859 
6860 .seealso: MatDiagonalScale()
6861 @*/
6862 PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalScaleLocal(Mat mat,Vec diag)
6863 {
6864   PetscErrorCode ierr;
6865   PetscMPIInt    size;
6866 
6867   PetscFunctionBegin;
6868   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6869   PetscValidHeaderSpecific(diag,VEC_COOKIE,2);
6870   PetscValidType(mat,1);
6871 
6872   if (!mat->assembled) {
6873     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
6874   }
6875   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
6876   ierr = MPI_Comm_size(((PetscObject)mat)->comm,&size);CHKERRQ(ierr);
6877   if (size == 1) {
6878     PetscInt n,m;
6879     ierr = VecGetSize(diag,&n);CHKERRQ(ierr);
6880     ierr = MatGetSize(mat,0,&m);CHKERRQ(ierr);
6881     if (m == n) {
6882       ierr = MatDiagonalScale(mat,0,diag);CHKERRQ(ierr);
6883     } else {
6884       SETERRQ(PETSC_ERR_SUP,"Only supported for sequential matrices when no ghost points/periodic conditions");
6885     }
6886   } else {
6887     PetscErrorCode (*f)(Mat,Vec);
6888     ierr = PetscObjectQueryFunction((PetscObject)mat,"MatDiagonalScaleLocal_C",(void (**)(void))&f);CHKERRQ(ierr);
6889     if (f) {
6890       ierr = (*f)(mat,diag);CHKERRQ(ierr);
6891     } else {
6892       SETERRQ(PETSC_ERR_SUP,"Only supported for MPIAIJ and MPIBAIJ parallel matrices");
6893     }
6894   }
6895   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
6896   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
6897   PetscFunctionReturn(0);
6898 }
6899 
6900 #undef __FUNCT__
6901 #define __FUNCT__ "MatGetInertia"
6902 /*@
6903    MatGetInertia - Gets the inertia from a factored matrix
6904 
6905    Collective on Mat
6906 
6907    Input Parameter:
6908 .  mat - the matrix
6909 
6910    Output Parameters:
6911 +   nneg - number of negative eigenvalues
6912 .   nzero - number of zero eigenvalues
6913 -   npos - number of positive eigenvalues
6914 
6915    Level: advanced
6916 
6917    Notes: Matrix must have been factored by MatCholeskyFactor()
6918 
6919 
6920 @*/
6921 PetscErrorCode PETSCMAT_DLLEXPORT MatGetInertia(Mat mat,PetscInt *nneg,PetscInt *nzero,PetscInt *npos)
6922 {
6923   PetscErrorCode ierr;
6924 
6925   PetscFunctionBegin;
6926   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6927   PetscValidType(mat,1);
6928   if (!mat->factor)    SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
6929   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Numeric factor mat is not assembled");
6930   if (!mat->ops->getinertia) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6931   ierr = (*mat->ops->getinertia)(mat,nneg,nzero,npos);CHKERRQ(ierr);
6932   PetscFunctionReturn(0);
6933 }
6934 
6935 /* ----------------------------------------------------------------*/
6936 #undef __FUNCT__
6937 #define __FUNCT__ "MatSolves"
6938 /*@C
6939    MatSolves - Solves A x = b, given a factored matrix, for a collection of vectors
6940 
6941    Collective on Mat and Vecs
6942 
6943    Input Parameters:
6944 +  mat - the factored matrix
6945 -  b - the right-hand-side vectors
6946 
6947    Output Parameter:
6948 .  x - the result vectors
6949 
6950    Notes:
6951    The vectors b and x cannot be the same.  I.e., one cannot
6952    call MatSolves(A,x,x).
6953 
6954    Notes:
6955    Most users should employ the simplified KSP interface for linear solvers
6956    instead of working directly with matrix algebra routines such as this.
6957    See, e.g., KSPCreate().
6958 
6959    Level: developer
6960 
6961    Concepts: matrices^triangular solves
6962 
6963 .seealso: MatSolveAdd(), MatSolveTranspose(), MatSolveTransposeAdd(), MatSolve()
6964 @*/
6965 PetscErrorCode PETSCMAT_DLLEXPORT MatSolves(Mat mat,Vecs b,Vecs x)
6966 {
6967   PetscErrorCode ierr;
6968 
6969   PetscFunctionBegin;
6970   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6971   PetscValidType(mat,1);
6972   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
6973   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
6974   if (!mat->rmap->N && !mat->cmap->N) PetscFunctionReturn(0);
6975 
6976   if (!mat->ops->solves) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
6977   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6978   ierr = PetscLogEventBegin(MAT_Solves,mat,0,0,0);CHKERRQ(ierr);
6979   ierr = (*mat->ops->solves)(mat,b,x);CHKERRQ(ierr);
6980   ierr = PetscLogEventEnd(MAT_Solves,mat,0,0,0);CHKERRQ(ierr);
6981   PetscFunctionReturn(0);
6982 }
6983 
6984 #undef __FUNCT__
6985 #define __FUNCT__ "MatIsSymmetric"
6986 /*@
6987    MatIsSymmetric - Test whether a matrix is symmetric
6988 
6989    Collective on Mat
6990 
6991    Input Parameter:
6992 +  A - the matrix to test
6993 -  tol - difference between value and its transpose less than this amount counts as equal (use 0.0 for exact transpose)
6994 
6995    Output Parameters:
6996 .  flg - the result
6997 
6998    Level: intermediate
6999 
7000    Concepts: matrix^symmetry
7001 
7002 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetricKnown()
7003 @*/
7004 PetscErrorCode PETSCMAT_DLLEXPORT MatIsSymmetric(Mat A,PetscReal tol,PetscTruth *flg)
7005 {
7006   PetscErrorCode ierr;
7007 
7008   PetscFunctionBegin;
7009   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7010   PetscValidPointer(flg,2);
7011 
7012   if (!A->symmetric_set) {
7013     if (!A->ops->issymmetric) {
7014       const MatType mattype;
7015       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
7016       SETERRQ1(PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for symmetric",mattype);
7017     }
7018     ierr = (*A->ops->issymmetric)(A,tol,flg);CHKERRQ(ierr);
7019     if (!tol) {
7020       A->symmetric_set = PETSC_TRUE;
7021       A->symmetric = *flg;
7022       if (A->symmetric) {
7023 	A->structurally_symmetric_set = PETSC_TRUE;
7024 	A->structurally_symmetric     = PETSC_TRUE;
7025       }
7026     }
7027   } else if (A->symmetric) {
7028     *flg = PETSC_TRUE;
7029   } else if (!tol) {
7030     *flg = PETSC_FALSE;
7031   } else {
7032     if (!A->ops->issymmetric) {
7033       const MatType mattype;
7034       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
7035       SETERRQ1(PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for symmetric",mattype);
7036     }
7037     ierr = (*A->ops->issymmetric)(A,tol,flg);CHKERRQ(ierr);
7038   }
7039   PetscFunctionReturn(0);
7040 }
7041 
7042 #undef __FUNCT__
7043 #define __FUNCT__ "MatIsHermitian"
7044 /*@
7045    MatIsHermitian - Test whether a matrix is Hermitian
7046 
7047    Collective on Mat
7048 
7049    Input Parameter:
7050 +  A - the matrix to test
7051 -  tol - difference between value and its transpose less than this amount counts as equal (use 0.0 for exact Hermitian)
7052 
7053    Output Parameters:
7054 .  flg - the result
7055 
7056    Level: intermediate
7057 
7058    Concepts: matrix^symmetry
7059 
7060 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetricKnown()
7061 @*/
7062 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitian(Mat A,PetscReal tol,PetscTruth *flg)
7063 {
7064   PetscErrorCode ierr;
7065 
7066   PetscFunctionBegin;
7067   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7068   PetscValidPointer(flg,2);
7069 
7070   if (!A->hermitian_set) {
7071     if (!A->ops->ishermitian) {
7072       const MatType mattype;
7073       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
7074       SETERRQ1(PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for hermitian",mattype);
7075     }
7076     ierr = (*A->ops->ishermitian)(A,tol,flg);CHKERRQ(ierr);
7077     if (!tol) {
7078       A->hermitian_set = PETSC_TRUE;
7079       A->hermitian = *flg;
7080       if (A->hermitian) {
7081 	A->structurally_symmetric_set = PETSC_TRUE;
7082 	A->structurally_symmetric     = PETSC_TRUE;
7083       }
7084     }
7085   } else if (A->hermitian) {
7086     *flg = PETSC_TRUE;
7087   } else if (!tol) {
7088     *flg = PETSC_FALSE;
7089   } else {
7090     if (!A->ops->ishermitian) {
7091       const MatType mattype;
7092       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
7093       SETERRQ1(PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for hermitian",mattype);
7094     }
7095     ierr = (*A->ops->ishermitian)(A,tol,flg);CHKERRQ(ierr);
7096   }
7097   PetscFunctionReturn(0);
7098 }
7099 
7100 #undef __FUNCT__
7101 #define __FUNCT__ "MatIsSymmetricKnown"
7102 /*@
7103    MatIsSymmetricKnown - Checks the flag on the matrix to see if it is symmetric.
7104 
7105    Collective on Mat
7106 
7107    Input Parameter:
7108 .  A - the matrix to check
7109 
7110    Output Parameters:
7111 +  set - if the symmetric flag is set (this tells you if the next flag is valid)
7112 -  flg - the result
7113 
7114    Level: advanced
7115 
7116    Concepts: matrix^symmetry
7117 
7118    Note: Does not check the matrix values directly, so this may return unknown (set = PETSC_FALSE). Use MatIsSymmetric()
7119          if you want it explicitly checked
7120 
7121 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetric()
7122 @*/
7123 PetscErrorCode PETSCMAT_DLLEXPORT MatIsSymmetricKnown(Mat A,PetscTruth *set,PetscTruth *flg)
7124 {
7125   PetscFunctionBegin;
7126   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7127   PetscValidPointer(set,2);
7128   PetscValidPointer(flg,3);
7129   if (A->symmetric_set) {
7130     *set = PETSC_TRUE;
7131     *flg = A->symmetric;
7132   } else {
7133     *set = PETSC_FALSE;
7134   }
7135   PetscFunctionReturn(0);
7136 }
7137 
7138 #undef __FUNCT__
7139 #define __FUNCT__ "MatIsHermitianKnown"
7140 /*@
7141    MatIsHermitianKnown - Checks the flag on the matrix to see if it is hermitian.
7142 
7143    Collective on Mat
7144 
7145    Input Parameter:
7146 .  A - the matrix to check
7147 
7148    Output Parameters:
7149 +  set - if the hermitian flag is set (this tells you if the next flag is valid)
7150 -  flg - the result
7151 
7152    Level: advanced
7153 
7154    Concepts: matrix^symmetry
7155 
7156    Note: Does not check the matrix values directly, so this may return unknown (set = PETSC_FALSE). Use MatIsHermitian()
7157          if you want it explicitly checked
7158 
7159 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetric()
7160 @*/
7161 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitianKnown(Mat A,PetscTruth *set,PetscTruth *flg)
7162 {
7163   PetscFunctionBegin;
7164   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7165   PetscValidPointer(set,2);
7166   PetscValidPointer(flg,3);
7167   if (A->hermitian_set) {
7168     *set = PETSC_TRUE;
7169     *flg = A->hermitian;
7170   } else {
7171     *set = PETSC_FALSE;
7172   }
7173   PetscFunctionReturn(0);
7174 }
7175 
7176 #undef __FUNCT__
7177 #define __FUNCT__ "MatIsStructurallySymmetric"
7178 /*@
7179    MatIsStructurallySymmetric - Test whether a matrix is structurally symmetric
7180 
7181    Collective on Mat
7182 
7183    Input Parameter:
7184 .  A - the matrix to test
7185 
7186    Output Parameters:
7187 .  flg - the result
7188 
7189    Level: intermediate
7190 
7191    Concepts: matrix^symmetry
7192 
7193 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsSymmetric(), MatSetOption()
7194 @*/
7195 PetscErrorCode PETSCMAT_DLLEXPORT MatIsStructurallySymmetric(Mat A,PetscTruth *flg)
7196 {
7197   PetscErrorCode ierr;
7198 
7199   PetscFunctionBegin;
7200   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7201   PetscValidPointer(flg,2);
7202   if (!A->structurally_symmetric_set) {
7203     if (!A->ops->isstructurallysymmetric) SETERRQ(PETSC_ERR_SUP,"Matrix does not support checking for structural symmetric");
7204     ierr = (*A->ops->isstructurallysymmetric)(A,&A->structurally_symmetric);CHKERRQ(ierr);
7205     A->structurally_symmetric_set = PETSC_TRUE;
7206   }
7207   *flg = A->structurally_symmetric;
7208   PetscFunctionReturn(0);
7209 }
7210 
7211 #undef __FUNCT__
7212 #define __FUNCT__ "MatStashGetInfo"
7213 extern PetscErrorCode MatStashGetInfo_Private(MatStash*,PetscInt*,PetscInt*);
7214 /*@
7215    MatStashGetInfo - Gets how many values are currently in the vector stash, i.e. need
7216        to be communicated to other processors during the MatAssemblyBegin/End() process
7217 
7218     Not collective
7219 
7220    Input Parameter:
7221 .   vec - the vector
7222 
7223    Output Parameters:
7224 +   nstash   - the size of the stash
7225 .   reallocs - the number of additional mallocs incurred.
7226 .   bnstash   - the size of the block stash
7227 -   breallocs - the number of additional mallocs incurred.in the block stash
7228 
7229    Level: advanced
7230 
7231 .seealso: MatAssemblyBegin(), MatAssemblyEnd(), Mat, MatStashSetInitialSize()
7232 
7233 @*/
7234 PetscErrorCode PETSCMAT_DLLEXPORT MatStashGetInfo(Mat mat,PetscInt *nstash,PetscInt *reallocs,PetscInt *bnstash,PetscInt *breallocs)
7235 {
7236   PetscErrorCode ierr;
7237   PetscFunctionBegin;
7238   ierr = MatStashGetInfo_Private(&mat->stash,nstash,reallocs);CHKERRQ(ierr);
7239   ierr = MatStashGetInfo_Private(&mat->bstash,bnstash,breallocs);CHKERRQ(ierr);
7240   PetscFunctionReturn(0);
7241 }
7242 
7243 #undef __FUNCT__
7244 #define __FUNCT__ "MatGetVecs"
7245 /*@C
7246    MatGetVecs - Get vector(s) compatible with the matrix, i.e. with the same
7247      parallel layout
7248 
7249    Collective on Mat
7250 
7251    Input Parameter:
7252 .  mat - the matrix
7253 
7254    Output Parameter:
7255 +   right - (optional) vector that the matrix can be multiplied against
7256 -   left - (optional) vector that the matrix vector product can be stored in
7257 
7258   Level: advanced
7259 
7260 .seealso: MatCreate()
7261 @*/
7262 PetscErrorCode PETSCMAT_DLLEXPORT MatGetVecs(Mat mat,Vec *right,Vec *left)
7263 {
7264   PetscErrorCode ierr;
7265 
7266   PetscFunctionBegin;
7267   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
7268   PetscValidType(mat,1);
7269   ierr = MatPreallocated(mat);CHKERRQ(ierr);
7270   if (mat->ops->getvecs) {
7271     ierr = (*mat->ops->getvecs)(mat,right,left);CHKERRQ(ierr);
7272   } else {
7273     PetscMPIInt size;
7274     ierr = MPI_Comm_size(((PetscObject)mat)->comm, &size);CHKERRQ(ierr);
7275     if (right) {
7276       ierr = VecCreate(((PetscObject)mat)->comm,right);CHKERRQ(ierr);
7277       ierr = VecSetSizes(*right,mat->cmap->n,PETSC_DETERMINE);CHKERRQ(ierr);
7278       ierr = VecSetBlockSize(*right,mat->rmap->bs);CHKERRQ(ierr);
7279       if (size > 1) {
7280         /* New vectors uses Mat cmap and does not create a new one */
7281 	ierr = PetscLayoutDestroy((*right)->map);CHKERRQ(ierr);
7282 	(*right)->map = mat->cmap;
7283 	mat->cmap->refcnt++;
7284 
7285         ierr = VecSetType(*right,VECMPI);CHKERRQ(ierr);
7286       } else {ierr = VecSetType(*right,VECSEQ);CHKERRQ(ierr);}
7287     }
7288     if (left) {
7289       ierr = VecCreate(((PetscObject)mat)->comm,left);CHKERRQ(ierr);
7290       ierr = VecSetSizes(*left,mat->rmap->n,PETSC_DETERMINE);CHKERRQ(ierr);
7291       ierr = VecSetBlockSize(*left,mat->rmap->bs);CHKERRQ(ierr);
7292       if (size > 1) {
7293         /* New vectors uses Mat rmap and does not create a new one */
7294 	ierr = PetscLayoutDestroy((*left)->map);CHKERRQ(ierr);
7295 	(*left)->map = mat->rmap;
7296 	mat->rmap->refcnt++;
7297 
7298         ierr = VecSetType(*left,VECMPI);CHKERRQ(ierr);
7299       } else {ierr = VecSetType(*left,VECSEQ);CHKERRQ(ierr);}
7300     }
7301   }
7302   if (mat->mapping) {
7303     if (right) {ierr = VecSetLocalToGlobalMapping(*right,mat->mapping);CHKERRQ(ierr);}
7304     if (left) {ierr = VecSetLocalToGlobalMapping(*left,mat->mapping);CHKERRQ(ierr);}
7305   }
7306   if (mat->bmapping) {
7307     if (right) {ierr = VecSetLocalToGlobalMappingBlock(*right,mat->bmapping);CHKERRQ(ierr);}
7308     if (left) {ierr = VecSetLocalToGlobalMappingBlock(*left,mat->bmapping);CHKERRQ(ierr);}
7309   }
7310   PetscFunctionReturn(0);
7311 }
7312 
7313 #undef __FUNCT__
7314 #define __FUNCT__ "MatFactorInfoInitialize"
7315 /*@C
7316    MatFactorInfoInitialize - Initializes a MatFactorInfo data structure
7317      with default values.
7318 
7319    Not Collective
7320 
7321    Input Parameters:
7322 .    info - the MatFactorInfo data structure
7323 
7324 
7325    Notes: The solvers are generally used through the KSP and PC objects, for example
7326           PCLU, PCILU, PCCHOLESKY, PCICC
7327 
7328    Level: developer
7329 
7330 .seealso: MatFactorInfo
7331 
7332     Developer Note: fortran interface is not autogenerated as the f90
7333     interface defintion cannot be generated correctly [due to MatFactorInfo]
7334 
7335 @*/
7336 
7337 PetscErrorCode PETSCMAT_DLLEXPORT MatFactorInfoInitialize(MatFactorInfo *info)
7338 {
7339   PetscErrorCode ierr;
7340 
7341   PetscFunctionBegin;
7342   ierr = PetscMemzero(info,sizeof(MatFactorInfo));CHKERRQ(ierr);
7343   PetscFunctionReturn(0);
7344 }
7345 
7346 #undef __FUNCT__
7347 #define __FUNCT__ "MatPtAP"
7348 /*@
7349    MatPtAP - Creates the matrix projection C = P^T * A * P
7350 
7351    Collective on Mat
7352 
7353    Input Parameters:
7354 +  A - the matrix
7355 .  P - the projection matrix
7356 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7357 -  fill - expected fill as ratio of nnz(C)/nnz(A)
7358 
7359    Output Parameters:
7360 .  C - the product matrix
7361 
7362    Notes:
7363    C will be created and must be destroyed by the user with MatDestroy().
7364 
7365    This routine is currently only implemented for pairs of AIJ matrices and classes
7366    which inherit from AIJ.
7367 
7368    Level: intermediate
7369 
7370 .seealso: MatPtAPSymbolic(), MatPtAPNumeric(), MatMatMult()
7371 @*/
7372 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAP(Mat A,Mat P,MatReuse scall,PetscReal fill,Mat *C)
7373 {
7374   PetscErrorCode ierr;
7375 
7376   PetscFunctionBegin;
7377   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7378   PetscValidType(A,1);
7379   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7380   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7381   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
7382   PetscValidType(P,2);
7383   ierr = MatPreallocated(P);CHKERRQ(ierr);
7384   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7385   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7386   PetscValidPointer(C,3);
7387   if (P->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
7388   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be >= 1.0",fill);
7389   ierr = MatPreallocated(A);CHKERRQ(ierr);
7390 
7391   if (!A->ops->ptap) {
7392     const MatType mattype;
7393     ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
7394     SETERRQ1(PETSC_ERR_SUP,"Matrix of type <%s> does not support PtAP",mattype);
7395   }
7396   ierr = PetscLogEventBegin(MAT_PtAP,A,P,0,0);CHKERRQ(ierr);
7397   ierr = (*A->ops->ptap)(A,P,scall,fill,C);CHKERRQ(ierr);
7398   ierr = PetscLogEventEnd(MAT_PtAP,A,P,0,0);CHKERRQ(ierr);
7399 
7400   PetscFunctionReturn(0);
7401 }
7402 
7403 #undef __FUNCT__
7404 #define __FUNCT__ "MatPtAPNumeric"
7405 /*@
7406    MatPtAPNumeric - Computes the matrix projection C = P^T * A * P
7407 
7408    Collective on Mat
7409 
7410    Input Parameters:
7411 +  A - the matrix
7412 -  P - the projection matrix
7413 
7414    Output Parameters:
7415 .  C - the product matrix
7416 
7417    Notes:
7418    C must have been created by calling MatPtAPSymbolic and must be destroyed by
7419    the user using MatDeatroy().
7420 
7421    This routine is currently only implemented for pairs of AIJ matrices and classes
7422    which inherit from AIJ.  C will be of type MATAIJ.
7423 
7424    Level: intermediate
7425 
7426 .seealso: MatPtAP(), MatPtAPSymbolic(), MatMatMultNumeric()
7427 @*/
7428 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAPNumeric(Mat A,Mat P,Mat C)
7429 {
7430   PetscErrorCode ierr;
7431 
7432   PetscFunctionBegin;
7433   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7434   PetscValidType(A,1);
7435   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7436   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7437   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
7438   PetscValidType(P,2);
7439   ierr = MatPreallocated(P);CHKERRQ(ierr);
7440   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7441   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7442   PetscValidHeaderSpecific(C,MAT_COOKIE,3);
7443   PetscValidType(C,3);
7444   ierr = MatPreallocated(C);CHKERRQ(ierr);
7445   if (C->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7446   if (P->cmap->N!=C->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->cmap->N,C->rmap->N);
7447   if (P->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
7448   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);
7449   if (P->cmap->N!=C->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->cmap->N,C->cmap->N);
7450   ierr = MatPreallocated(A);CHKERRQ(ierr);
7451 
7452   ierr = PetscLogEventBegin(MAT_PtAPNumeric,A,P,0,0);CHKERRQ(ierr);
7453   ierr = (*A->ops->ptapnumeric)(A,P,C);CHKERRQ(ierr);
7454   ierr = PetscLogEventEnd(MAT_PtAPNumeric,A,P,0,0);CHKERRQ(ierr);
7455   PetscFunctionReturn(0);
7456 }
7457 
7458 #undef __FUNCT__
7459 #define __FUNCT__ "MatPtAPSymbolic"
7460 /*@
7461    MatPtAPSymbolic - Creates the (i,j) structure of the matrix projection C = P^T * A * P
7462 
7463    Collective on Mat
7464 
7465    Input Parameters:
7466 +  A - the matrix
7467 -  P - the projection matrix
7468 
7469    Output Parameters:
7470 .  C - the (i,j) structure of the product matrix
7471 
7472    Notes:
7473    C will be created and must be destroyed by the user with MatDestroy().
7474 
7475    This routine is currently only implemented for pairs of SeqAIJ matrices and classes
7476    which inherit from SeqAIJ.  C will be of type MATSEQAIJ.  The product is computed using
7477    this (i,j) structure by calling MatPtAPNumeric().
7478 
7479    Level: intermediate
7480 
7481 .seealso: MatPtAP(), MatPtAPNumeric(), MatMatMultSymbolic()
7482 @*/
7483 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAPSymbolic(Mat A,Mat P,PetscReal fill,Mat *C)
7484 {
7485   PetscErrorCode ierr;
7486 
7487   PetscFunctionBegin;
7488   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7489   PetscValidType(A,1);
7490   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7491   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7492   if (fill <1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be >= 1.0",fill);
7493   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
7494   PetscValidType(P,2);
7495   ierr = MatPreallocated(P);CHKERRQ(ierr);
7496   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7497   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7498   PetscValidPointer(C,3);
7499 
7500   if (P->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->rmap->N,A->cmap->N);
7501   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);
7502   ierr = MatPreallocated(A);CHKERRQ(ierr);
7503   ierr = PetscLogEventBegin(MAT_PtAPSymbolic,A,P,0,0);CHKERRQ(ierr);
7504   ierr = (*A->ops->ptapsymbolic)(A,P,fill,C);CHKERRQ(ierr);
7505   ierr = PetscLogEventEnd(MAT_PtAPSymbolic,A,P,0,0);CHKERRQ(ierr);
7506 
7507   ierr = MatSetBlockSize(*C,A->rmap->bs);CHKERRQ(ierr);
7508 
7509   PetscFunctionReturn(0);
7510 }
7511 
7512 #undef __FUNCT__
7513 #define __FUNCT__ "MatMatMult"
7514 /*@
7515    MatMatMult - Performs Matrix-Matrix Multiplication C=A*B.
7516 
7517    Collective on Mat
7518 
7519    Input Parameters:
7520 +  A - the left matrix
7521 .  B - the right matrix
7522 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7523 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if you do not have a good estimate
7524           if the result is a dense matrix this is irrelevent
7525 
7526    Output Parameters:
7527 .  C - the product matrix
7528 
7529    Notes:
7530    Unless scall is MAT_REUSE_MATRIX C will be created.
7531 
7532    MAT_REUSE_MATRIX can only be used if the matrices A and B have the same nonzero pattern as in the previous call
7533 
7534    To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
7535    actually needed.
7536 
7537    If you have many matrices with the same non-zero structure to multiply, you
7538    should either
7539 $   1) use MAT_REUSE_MATRIX in all calls but the first or
7540 $   2) call MatMatMultSymbolic() once and then MatMatMultNumeric() for each product needed
7541 
7542    Level: intermediate
7543 
7544 .seealso: MatMatMultSymbolic(), MatMatMultNumeric(), MatPtAP()
7545 @*/
7546 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMult(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
7547 {
7548   PetscErrorCode ierr;
7549   PetscErrorCode (*fA)(Mat,Mat,MatReuse,PetscReal,Mat*);
7550   PetscErrorCode (*fB)(Mat,Mat,MatReuse,PetscReal,Mat*);
7551   PetscErrorCode (*mult)(Mat,Mat,MatReuse,PetscReal,Mat *)=PETSC_NULL;
7552 
7553   PetscFunctionBegin;
7554   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7555   PetscValidType(A,1);
7556   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7557   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7558   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7559   PetscValidType(B,2);
7560   ierr = MatPreallocated(B);CHKERRQ(ierr);
7561   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7562   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7563   PetscValidPointer(C,3);
7564   if (B->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
7565   if (scall == MAT_REUSE_MATRIX){
7566     PetscValidPointer(*C,5);
7567     PetscValidHeaderSpecific(*C,MAT_COOKIE,5);
7568   }
7569   if (fill == PETSC_DEFAULT || fill == PETSC_DECIDE) fill = 2.0;
7570   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be >= 1.0",fill);
7571   ierr = MatPreallocated(A);CHKERRQ(ierr);
7572 
7573   fA = A->ops->matmult;
7574   fB = B->ops->matmult;
7575   if (fB == fA) {
7576     if (!fB) SETERRQ1(PETSC_ERR_SUP,"MatMatMult not supported for B of type %s",((PetscObject)B)->type_name);
7577     mult = fB;
7578   } else {
7579     /* dispatch based on the type of A and B */
7580     char  multname[256];
7581     ierr = PetscStrcpy(multname,"MatMatMult_");CHKERRQ(ierr);
7582     ierr = PetscStrcat(multname,((PetscObject)A)->type_name);CHKERRQ(ierr);
7583     ierr = PetscStrcat(multname,"_");CHKERRQ(ierr);
7584     ierr = PetscStrcat(multname,((PetscObject)B)->type_name);CHKERRQ(ierr);
7585     ierr = PetscStrcat(multname,"_C");CHKERRQ(ierr); /* e.g., multname = "MatMatMult_seqdense_seqaij_C" */
7586     ierr = PetscObjectQueryFunction((PetscObject)B,multname,(void (**)(void))&mult);CHKERRQ(ierr);
7587     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);
7588   }
7589   ierr = PetscLogEventBegin(MAT_MatMult,A,B,0,0);CHKERRQ(ierr);
7590   ierr = (*mult)(A,B,scall,fill,C);CHKERRQ(ierr);
7591   ierr = PetscLogEventEnd(MAT_MatMult,A,B,0,0);CHKERRQ(ierr);
7592   PetscFunctionReturn(0);
7593 }
7594 
7595 #undef __FUNCT__
7596 #define __FUNCT__ "MatMatMultSymbolic"
7597 /*@
7598    MatMatMultSymbolic - Performs construction, preallocation, and computes the ij structure
7599    of the matrix-matrix product C=A*B.  Call this routine before calling MatMatMultNumeric().
7600 
7601    Collective on Mat
7602 
7603    Input Parameters:
7604 +  A - the left matrix
7605 .  B - the right matrix
7606 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if you do not have a good estimate,
7607       if C is a dense matrix this is irrelevent
7608 
7609    Output Parameters:
7610 .  C - the product matrix
7611 
7612    Notes:
7613    Unless scall is MAT_REUSE_MATRIX C will be created.
7614 
7615    To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
7616    actually needed.
7617 
7618    This routine is currently implemented for
7619     - pairs of AIJ matrices and classes which inherit from AIJ, C will be of type AIJ
7620     - pairs of AIJ (A) and Dense (B) matrix, C will be of type Dense.
7621     - pairs of Dense (A) and AIJ (B) matrix, C will be of type Dense.
7622 
7623    Level: intermediate
7624 
7625 .seealso: MatMatMult(), MatMatMultNumeric()
7626 @*/
7627 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultSymbolic(Mat A,Mat B,PetscReal fill,Mat *C)
7628 {
7629   PetscErrorCode ierr;
7630   PetscErrorCode (*Asymbolic)(Mat,Mat,PetscReal,Mat *);
7631   PetscErrorCode (*Bsymbolic)(Mat,Mat,PetscReal,Mat *);
7632   PetscErrorCode (*symbolic)(Mat,Mat,PetscReal,Mat *)=PETSC_NULL;
7633 
7634   PetscFunctionBegin;
7635   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7636   PetscValidType(A,1);
7637   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7638   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7639 
7640   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7641   PetscValidType(B,2);
7642   ierr = MatPreallocated(B);CHKERRQ(ierr);
7643   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7644   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7645   PetscValidPointer(C,3);
7646 
7647   if (B->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
7648   if (fill == PETSC_DEFAULT) fill = 2.0;
7649   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be > 1.0",fill);
7650   ierr = MatPreallocated(A);CHKERRQ(ierr);
7651 
7652   Asymbolic = A->ops->matmultsymbolic;
7653   Bsymbolic = B->ops->matmultsymbolic;
7654   if (Asymbolic == Bsymbolic){
7655     if (!Bsymbolic) SETERRQ1(PETSC_ERR_SUP,"C=A*B not implemented for B of type %s",((PetscObject)B)->type_name);
7656     symbolic = Bsymbolic;
7657   } else { /* dispatch based on the type of A and B */
7658     char  symbolicname[256];
7659     ierr = PetscStrcpy(symbolicname,"MatMatMultSymbolic_");CHKERRQ(ierr);
7660     ierr = PetscStrcat(symbolicname,((PetscObject)A)->type_name);CHKERRQ(ierr);
7661     ierr = PetscStrcat(symbolicname,"_");CHKERRQ(ierr);
7662     ierr = PetscStrcat(symbolicname,((PetscObject)B)->type_name);CHKERRQ(ierr);
7663     ierr = PetscStrcat(symbolicname,"_C");CHKERRQ(ierr);
7664     ierr = PetscObjectQueryFunction((PetscObject)B,symbolicname,(void (**)(void))&symbolic);CHKERRQ(ierr);
7665     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);
7666   }
7667   ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
7668   ierr = (*symbolic)(A,B,fill,C);CHKERRQ(ierr);
7669   ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
7670   PetscFunctionReturn(0);
7671 }
7672 
7673 #undef __FUNCT__
7674 #define __FUNCT__ "MatMatMultNumeric"
7675 /*@
7676    MatMatMultNumeric - Performs the numeric matrix-matrix product.
7677    Call this routine after first calling MatMatMultSymbolic().
7678 
7679    Collective on Mat
7680 
7681    Input Parameters:
7682 +  A - the left matrix
7683 -  B - the right matrix
7684 
7685    Output Parameters:
7686 .  C - the product matrix, which was created by from MatMatMultSymbolic() or a call to MatMatMult().
7687 
7688    Notes:
7689    C must have been created with MatMatMultSymbolic().
7690 
7691    This routine is currently implemented for
7692     - pairs of AIJ matrices and classes which inherit from AIJ, C will be of type MATAIJ.
7693     - pairs of AIJ (A) and Dense (B) matrix, C will be of type Dense.
7694     - pairs of Dense (A) and AIJ (B) matrix, C will be of type Dense.
7695 
7696    Level: intermediate
7697 
7698 .seealso: MatMatMult(), MatMatMultSymbolic()
7699 @*/
7700 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultNumeric(Mat A,Mat B,Mat C)
7701 {
7702   PetscErrorCode ierr;
7703   PetscErrorCode (*Anumeric)(Mat,Mat,Mat);
7704   PetscErrorCode (*Bnumeric)(Mat,Mat,Mat);
7705   PetscErrorCode (*numeric)(Mat,Mat,Mat)=PETSC_NULL;
7706 
7707   PetscFunctionBegin;
7708   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7709   PetscValidType(A,1);
7710   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7711   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7712 
7713   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7714   PetscValidType(B,2);
7715   ierr = MatPreallocated(B);CHKERRQ(ierr);
7716   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7717   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7718 
7719   PetscValidHeaderSpecific(C,MAT_COOKIE,3);
7720   PetscValidType(C,3);
7721   ierr = MatPreallocated(C);CHKERRQ(ierr);
7722   if (!C->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7723   if (C->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7724 
7725   if (B->cmap->N!=C->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->cmap->N,C->cmap->N);
7726   if (B->rmap->N!=A->cmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->cmap->N);
7727   if (A->rmap->N!=C->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",A->rmap->N,C->rmap->N);
7728   ierr = MatPreallocated(A);CHKERRQ(ierr);
7729 
7730   Anumeric = A->ops->matmultnumeric;
7731   Bnumeric = B->ops->matmultnumeric;
7732   if (Anumeric == Bnumeric){
7733     if (!Bnumeric) SETERRQ1(PETSC_ERR_SUP,"MatMatMultNumeric not supported for B of type %s",((PetscObject)B)->type_name);
7734     numeric = Bnumeric;
7735   } else {
7736     char  numericname[256];
7737     ierr = PetscStrcpy(numericname,"MatMatMultNumeric_");CHKERRQ(ierr);
7738     ierr = PetscStrcat(numericname,((PetscObject)A)->type_name);CHKERRQ(ierr);
7739     ierr = PetscStrcat(numericname,"_");CHKERRQ(ierr);
7740     ierr = PetscStrcat(numericname,((PetscObject)B)->type_name);CHKERRQ(ierr);
7741     ierr = PetscStrcat(numericname,"_C");CHKERRQ(ierr);
7742     ierr = PetscObjectQueryFunction((PetscObject)B,numericname,(void (**)(void))&numeric);CHKERRQ(ierr);
7743     if (!numeric)
7744       SETERRQ2(PETSC_ERR_ARG_INCOMP,"MatMatMultNumeric requires A, %s, to be compatible with B, %s",((PetscObject)A)->type_name,((PetscObject)B)->type_name);
7745   }
7746   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
7747   ierr = (*numeric)(A,B,C);CHKERRQ(ierr);
7748   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
7749   PetscFunctionReturn(0);
7750 }
7751 
7752 #undef __FUNCT__
7753 #define __FUNCT__ "MatMatMultTranspose"
7754 /*@
7755    MatMatMultTranspose - Performs Matrix-Matrix Multiplication C=A^T*B.
7756 
7757    Collective on Mat
7758 
7759    Input Parameters:
7760 +  A - the left matrix
7761 .  B - the right matrix
7762 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7763 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B)), use PETSC_DEFAULT if not known
7764 
7765    Output Parameters:
7766 .  C - the product matrix
7767 
7768    Notes:
7769    C will be created if MAT_INITIAL_MATRIX and must be destroyed by the user with MatDestroy().
7770 
7771    MAT_REUSE_MATRIX can only be used if the matrices A and B have the same nonzero pattern as in the previous call
7772 
7773   To determine the correct fill value, run with -info and search for the string "Fill ratio" to see the value
7774    actually needed.
7775 
7776    This routine is currently only implemented for pairs of SeqAIJ matrices and pairs of SeqDense matrices and classes
7777    which inherit from SeqAIJ.  C will be of type MATSEQAIJ.
7778 
7779    Level: intermediate
7780 
7781 .seealso: MatMatMultTransposeSymbolic(), MatMatMultTransposeNumeric(), MatPtAP()
7782 @*/
7783 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultTranspose(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
7784 {
7785   PetscErrorCode ierr;
7786   PetscErrorCode (*fA)(Mat,Mat,MatReuse,PetscReal,Mat*);
7787   PetscErrorCode (*fB)(Mat,Mat,MatReuse,PetscReal,Mat*);
7788 
7789   PetscFunctionBegin;
7790   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
7791   PetscValidType(A,1);
7792   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7793   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7794   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
7795   PetscValidType(B,2);
7796   ierr = MatPreallocated(B);CHKERRQ(ierr);
7797   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7798   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7799   PetscValidPointer(C,3);
7800   if (B->rmap->N!=A->rmap->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->rmap->N,A->rmap->N);
7801   if (fill == PETSC_DEFAULT || fill == PETSC_DECIDE) fill = 2.0;
7802   if (fill < 1.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"Expected fill=%G must be > 1.0",fill);
7803   ierr = MatPreallocated(A);CHKERRQ(ierr);
7804 
7805   fA = A->ops->matmulttranspose;
7806   if (!fA) SETERRQ1(PETSC_ERR_SUP,"MatMatMultTranspose not supported for A of type %s",((PetscObject)A)->type_name);
7807   fB = B->ops->matmulttranspose;
7808   if (!fB) SETERRQ1(PETSC_ERR_SUP,"MatMatMultTranspose not supported for B of type %s",((PetscObject)B)->type_name);
7809   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);
7810 
7811   ierr = PetscLogEventBegin(MAT_MatMultTranspose,A,B,0,0);CHKERRQ(ierr);
7812   ierr = (*A->ops->matmulttranspose)(A,B,scall,fill,C);CHKERRQ(ierr);
7813   ierr = PetscLogEventEnd(MAT_MatMultTranspose,A,B,0,0);CHKERRQ(ierr);
7814 
7815   PetscFunctionReturn(0);
7816 }
7817 
7818 #undef __FUNCT__
7819 #define __FUNCT__ "MatGetRedundantMatrix"
7820 /*@C
7821    MatGetRedundantMatrix - Create redundant matrices and put them into processors of subcommunicators.
7822 
7823    Collective on Mat
7824 
7825    Input Parameters:
7826 +  mat - the matrix
7827 .  nsubcomm - the number of subcommunicators (= number of redundant pareallel or sequential matrices)
7828 .  subcomm - MPI communicator split from the communicator where mat resides in
7829 .  mlocal_red - number of local rows of the redundant matrix
7830 -  reuse - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
7831 
7832    Output Parameter:
7833 .  matredundant - redundant matrix
7834 
7835    Notes:
7836    MAT_REUSE_MATRIX can only be used when the nonzero structure of the
7837    original matrix has not changed from that last call to MatGetRedundantMatrix().
7838 
7839    This routine creates the duplicated matrices in subcommunicators; you should NOT create them before
7840    calling it.
7841 
7842    Only MPIAIJ matrix is supported.
7843 
7844    Level: advanced
7845 
7846    Concepts: subcommunicator
7847    Concepts: duplicate matrix
7848 
7849 .seealso: MatDestroy()
7850 @*/
7851 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRedundantMatrix(Mat mat,PetscInt nsubcomm,MPI_Comm subcomm,PetscInt mlocal_red,MatReuse reuse,Mat *matredundant)
7852 {
7853   PetscErrorCode ierr;
7854 
7855   PetscFunctionBegin;
7856   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
7857   if (nsubcomm && reuse == MAT_REUSE_MATRIX) {
7858     PetscValidPointer(*matredundant,6);
7859     PetscValidHeaderSpecific(*matredundant,MAT_COOKIE,6);
7860   }
7861   if (!mat->ops->getredundantmatrix) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",((PetscObject)mat)->type_name);
7862   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
7863   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
7864   ierr = MatPreallocated(mat);CHKERRQ(ierr);
7865 
7866   ierr = PetscLogEventBegin(MAT_GetRedundantMatrix,mat,0,0,0);CHKERRQ(ierr);
7867   ierr = (*mat->ops->getredundantmatrix)(mat,nsubcomm,subcomm,mlocal_red,reuse,matredundant);CHKERRQ(ierr);
7868   ierr = PetscLogEventEnd(MAT_GetRedundantMatrix,mat,0,0,0);CHKERRQ(ierr);
7869   PetscFunctionReturn(0);
7870 }
7871