xref: /petsc/src/mat/interface/matrix.c (revision 357abbc83298e1b9fe4d8101e73ddb06b38979df)
1 #define PETSCMAT_DLL
2 
3 /*
4    This is where the abstract matrix operations are defined
5 */
6 
7 #include "src/mat/matimpl.h"        /*I "petscmat.h" I*/
8 #include "private/vecimpl.h"
9 
10 /* Logging support */
11 PetscCookie PETSCMAT_DLLEXPORT MAT_COOKIE = 0;
12 PetscEvent  MAT_Mult = 0, MAT_Mults = 0, MAT_MultConstrained = 0, MAT_MultAdd = 0, MAT_MultTranspose = 0;
13 PetscEvent  MAT_MultTransposeConstrained = 0, MAT_MultTransposeAdd = 0, MAT_Solve = 0, MAT_Solves = 0, MAT_SolveAdd = 0, MAT_SolveTranspose = 0, MAT_MatSolve = 0;
14 PetscEvent  MAT_SolveTransposeAdd = 0, MAT_Relax = 0, MAT_ForwardSolve = 0, MAT_BackwardSolve = 0, MAT_LUFactor = 0, MAT_LUFactorSymbolic = 0;
15 PetscEvent  MAT_LUFactorNumeric = 0, MAT_CholeskyFactor = 0, MAT_CholeskyFactorSymbolic = 0, MAT_CholeskyFactorNumeric = 0, MAT_ILUFactor = 0;
16 PetscEvent  MAT_ILUFactorSymbolic = 0, MAT_ICCFactorSymbolic = 0, MAT_Copy = 0, MAT_Convert = 0, MAT_Scale = 0, MAT_AssemblyBegin = 0;
17 PetscEvent  MAT_AssemblyEnd = 0, MAT_SetValues = 0, MAT_GetValues = 0, MAT_GetRow = 0, MAT_GetSubMatrices = 0, MAT_GetColoring = 0, MAT_GetOrdering = 0;
18 PetscEvent  MAT_IncreaseOverlap = 0, MAT_Partitioning = 0, MAT_ZeroEntries = 0, MAT_Load = 0, MAT_View = 0, MAT_AXPY = 0, MAT_FDColoringCreate = 0;
19 PetscEvent  MAT_FDColoringApply = 0,MAT_Transpose = 0,MAT_FDColoringFunction = 0;
20 PetscEvent  MAT_MatMult = 0, MAT_MatMultSymbolic = 0, MAT_MatMultNumeric = 0;
21 PetscEvent  MAT_PtAP = 0, MAT_PtAPSymbolic = 0, MAT_PtAPNumeric = 0;
22 PetscEvent  MAT_MatMultTranspose = 0, MAT_MatMultTransposeSymbolic = 0, MAT_MatMultTransposeNumeric = 0;
23 
24 /* nasty global values for MatSetValue() */
25 PetscInt    PETSCMAT_DLLEXPORT MatSetValue_Row = 0;
26 PetscInt    PETSCMAT_DLLEXPORT MatSetValue_Column = 0;
27 PetscScalar PETSCMAT_DLLEXPORT MatSetValue_Value = 0.0;
28 
29 #undef __FUNCT__
30 #define __FUNCT__ "MatRealPart"
31 /*@
32    MatRealPart - Zeros out the imaginary part of the matrix
33 
34    Collective on Mat
35 
36    Input Parameters:
37 .  mat - the matrix
38 
39    Level: advanced
40 
41 
42 .seealso: MatImaginaryPart()
43 @*/
44 
45 PetscErrorCode PETSCMAT_DLLEXPORT MatRealPart(Mat mat)
46 {
47   PetscErrorCode ierr;
48 
49   PetscFunctionBegin;
50   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
51   PetscValidType(mat,1);
52   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
53   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
54   if (!mat->ops->realpart) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
55   ierr = MatPreallocated(mat);CHKERRQ(ierr);
56   ierr = (*mat->ops->realpart)(mat);CHKERRQ(ierr);
57   PetscFunctionReturn(0);
58 }
59 
60 #undef __FUNCT__
61 #define __FUNCT__ "MatImaginaryPart"
62 /*@
63    MatImaginaryPart - Moves the imaginary part of the matrix to the real part and zeros the imaginary part
64 
65    Collective on Mat
66 
67    Input Parameters:
68 .  mat - the matrix
69 
70    Level: advanced
71 
72 
73 .seealso: MatRealPart()
74 @*/
75 
76 PetscErrorCode PETSCMAT_DLLEXPORT MatImaginaryPart(Mat mat)
77 {
78   PetscErrorCode ierr;
79 
80   PetscFunctionBegin;
81   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
82   PetscValidType(mat,1);
83   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
84   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
85   if (!mat->ops->imaginarypart) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
86   ierr = MatPreallocated(mat);CHKERRQ(ierr);
87   ierr = (*mat->ops->imaginarypart)(mat);CHKERRQ(ierr);
88   PetscFunctionReturn(0);
89 }
90 
91 #undef __FUNCT__
92 #define __FUNCT__ "MatGetRow"
93 /*@C
94    MatGetRow - Gets a row of a matrix.  You MUST call MatRestoreRow()
95    for each row that you get to ensure that your application does
96    not bleed memory.
97 
98    Not Collective
99 
100    Input Parameters:
101 +  mat - the matrix
102 -  row - the row to get
103 
104    Output Parameters:
105 +  ncols -  if not NULL, the number of nonzeros in the row
106 .  cols - if not NULL, the column numbers
107 -  vals - if not NULL, the values
108 
109    Notes:
110    This routine is provided for people who need to have direct access
111    to the structure of a matrix.  We hope that we provide enough
112    high-level matrix routines that few users will need it.
113 
114    MatGetRow() always returns 0-based column indices, regardless of
115    whether the internal representation is 0-based (default) or 1-based.
116 
117    For better efficiency, set cols and/or vals to PETSC_NULL if you do
118    not wish to extract these quantities.
119 
120    The user can only examine the values extracted with MatGetRow();
121    the values cannot be altered.  To change the matrix entries, one
122    must use MatSetValues().
123 
124    You can only have one call to MatGetRow() outstanding for a particular
125    matrix at a time, per processor. MatGetRow() can only obtain rows
126    associated with the given processor, it cannot get rows from the
127    other processors; for that we suggest using MatGetSubMatrices(), then
128    MatGetRow() on the submatrix. The row indix passed to MatGetRows()
129    is in the global number of rows.
130 
131    Fortran Notes:
132    The calling sequence from Fortran is
133 .vb
134    MatGetRow(matrix,row,ncols,cols,values,ierr)
135          Mat     matrix (input)
136          integer row    (input)
137          integer ncols  (output)
138          integer cols(maxcols) (output)
139          double precision (or double complex) values(maxcols) output
140 .ve
141    where maxcols >= maximum nonzeros in any row of the matrix.
142 
143 
144    Caution:
145    Do not try to change the contents of the output arrays (cols and vals).
146    In some cases, this may corrupt the matrix.
147 
148    Level: advanced
149 
150    Concepts: matrices^row access
151 
152 .seealso: MatRestoreRow(), MatSetValues(), MatGetValues(), MatGetSubmatrices(), MatGetDiagonal()
153 @*/
154 
155 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRow(Mat mat,PetscInt row,PetscInt *ncols,const PetscInt *cols[],const PetscScalar *vals[])
156 {
157   PetscErrorCode ierr;
158   PetscInt       incols;
159 
160   PetscFunctionBegin;
161   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
162   PetscValidType(mat,1);
163   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
164   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
165   if (!mat->ops->getrow) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
166   ierr = MatPreallocated(mat);CHKERRQ(ierr);
167   ierr = PetscLogEventBegin(MAT_GetRow,mat,0,0,0);CHKERRQ(ierr);
168   ierr = (*mat->ops->getrow)(mat,row,&incols,(PetscInt **)cols,(PetscScalar **)vals);CHKERRQ(ierr);
169   if (ncols) *ncols = incols;
170   ierr = PetscLogEventEnd(MAT_GetRow,mat,0,0,0);CHKERRQ(ierr);
171   PetscFunctionReturn(0);
172 }
173 
174 #undef __FUNCT__
175 #define __FUNCT__ "MatConjugate"
176 /*@
177    MatConjugate - replaces the matrix values with their complex conjugates
178 
179    Collective on Mat
180 
181    Input Parameters:
182 .  mat - the matrix
183 
184    Level: advanced
185 
186 .seealso:  VecConjugate()
187 @*/
188 PetscErrorCode PETSCMAT_DLLEXPORT MatConjugate(Mat mat)
189 {
190   PetscErrorCode ierr;
191 
192   PetscFunctionBegin;
193   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
194   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
195   if (!mat->ops->conjugate) SETERRQ(PETSC_ERR_SUP,"Not provided for this matrix format, send email to petsc-maint@mcs.anl.gov");
196   ierr = (*mat->ops->conjugate)(mat);CHKERRQ(ierr);
197   PetscFunctionReturn(0);
198 }
199 
200 #undef __FUNCT__
201 #define __FUNCT__ "MatRestoreRow"
202 /*@C
203    MatRestoreRow - Frees any temporary space allocated by MatGetRow().
204 
205    Not Collective
206 
207    Input Parameters:
208 +  mat - the matrix
209 .  row - the row to get
210 .  ncols, cols - the number of nonzeros and their columns
211 -  vals - if nonzero the column values
212 
213    Notes:
214    This routine should be called after you have finished examining the entries.
215 
216    Fortran Notes:
217    The calling sequence from Fortran is
218 .vb
219    MatRestoreRow(matrix,row,ncols,cols,values,ierr)
220       Mat     matrix (input)
221       integer row    (input)
222       integer ncols  (output)
223       integer cols(maxcols) (output)
224       double precision (or double complex) values(maxcols) output
225 .ve
226    Where maxcols >= maximum nonzeros in any row of the matrix.
227 
228    In Fortran MatRestoreRow() MUST be called after MatGetRow()
229    before another call to MatGetRow() can be made.
230 
231    Level: advanced
232 
233 .seealso:  MatGetRow()
234 @*/
235 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRow(Mat mat,PetscInt row,PetscInt *ncols,const PetscInt *cols[],const PetscScalar *vals[])
236 {
237   PetscErrorCode ierr;
238 
239   PetscFunctionBegin;
240   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
241   PetscValidIntPointer(ncols,3);
242   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
243   if (!mat->ops->restorerow) PetscFunctionReturn(0);
244   ierr = (*mat->ops->restorerow)(mat,row,ncols,(PetscInt **)cols,(PetscScalar **)vals);CHKERRQ(ierr);
245   PetscFunctionReturn(0);
246 }
247 
248 #undef __FUNCT__
249 #define __FUNCT__ "MatGetRowUpperTriangular"
250 /*@C
251    MatGetRowUpperTriangular - Sets a flag to enable calls to MatGetRow() for matrix in MATSBAIJ format.
252    You should call MatRestoreRowUpperTriangular() after calling MatGetRow/MatRestoreRow() to disable the flag.
253 
254    Not Collective
255 
256    Input Parameters:
257 +  mat - the matrix
258 
259    Notes:
260    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.
261 
262    Level: advanced
263 
264    Concepts: matrices^row access
265 
266 .seealso: MatRestoreRowRowUpperTriangular()
267 @*/
268 
269 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowUpperTriangular(Mat mat)
270 {
271   PetscErrorCode ierr;
272 
273   PetscFunctionBegin;
274   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
275   PetscValidType(mat,1);
276   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
277   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
278   if (!mat->ops->getrowuppertriangular) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
279   ierr = MatPreallocated(mat);CHKERRQ(ierr);
280   ierr = (*mat->ops->getrowuppertriangular)(mat);CHKERRQ(ierr);
281   PetscFunctionReturn(0);
282 }
283 
284 #undef __FUNCT__
285 #define __FUNCT__ "MatRestoreRowUpperTriangular"
286 /*@C
287    MatRestoreRowUpperTriangular - Disable calls to MatGetRow() for matrix in MATSBAIJ format.
288 
289    Not Collective
290 
291    Input Parameters:
292 +  mat - the matrix
293 
294    Notes:
295    This routine should be called after you have finished MatGetRow/MatRestoreRow().
296 
297 
298    Level: advanced
299 
300 .seealso:  MatGetRowUpperTriangular()
301 @*/
302 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRowUpperTriangular(Mat mat)
303 {
304   PetscErrorCode ierr;
305 
306   PetscFunctionBegin;
307   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
308   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
309   if (!mat->ops->restorerowuppertriangular) PetscFunctionReturn(0);
310   ierr = (*mat->ops->restorerowuppertriangular)(mat);CHKERRQ(ierr);
311   PetscFunctionReturn(0);
312 }
313 
314 #undef __FUNCT__
315 #define __FUNCT__ "MatSetOptionsPrefix"
316 /*@C
317    MatSetOptionsPrefix - Sets the prefix used for searching for all
318    Mat options in the database.
319 
320    Collective on Mat
321 
322    Input Parameter:
323 +  A - the Mat context
324 -  prefix - the prefix to prepend to all option names
325 
326    Notes:
327    A hyphen (-) must NOT be given at the beginning of the prefix name.
328    The first character of all runtime options is AUTOMATICALLY the hyphen.
329 
330    Level: advanced
331 
332 .keywords: Mat, set, options, prefix, database
333 
334 .seealso: MatSetFromOptions()
335 @*/
336 PetscErrorCode PETSCMAT_DLLEXPORT MatSetOptionsPrefix(Mat A,const char prefix[])
337 {
338   PetscErrorCode ierr;
339 
340   PetscFunctionBegin;
341   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
342   ierr = PetscObjectSetOptionsPrefix((PetscObject)A,prefix);CHKERRQ(ierr);
343   PetscFunctionReturn(0);
344 }
345 
346 #undef __FUNCT__
347 #define __FUNCT__ "MatAppendOptionsPrefix"
348 /*@C
349    MatAppendOptionsPrefix - Appends to the prefix used for searching for all
350    Mat options in the database.
351 
352    Collective on Mat
353 
354    Input Parameters:
355 +  A - the Mat context
356 -  prefix - the prefix to prepend to all option names
357 
358    Notes:
359    A hyphen (-) must NOT be given at the beginning of the prefix name.
360    The first character of all runtime options is AUTOMATICALLY the hyphen.
361 
362    Level: advanced
363 
364 .keywords: Mat, append, options, prefix, database
365 
366 .seealso: MatGetOptionsPrefix()
367 @*/
368 PetscErrorCode PETSCMAT_DLLEXPORT MatAppendOptionsPrefix(Mat A,const char prefix[])
369 {
370   PetscErrorCode ierr;
371 
372   PetscFunctionBegin;
373   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
374   ierr = PetscObjectAppendOptionsPrefix((PetscObject)A,prefix);CHKERRQ(ierr);
375   PetscFunctionReturn(0);
376 }
377 
378 #undef __FUNCT__
379 #define __FUNCT__ "MatGetOptionsPrefix"
380 /*@C
381    MatGetOptionsPrefix - Sets the prefix used for searching for all
382    Mat options in the database.
383 
384    Not Collective
385 
386    Input Parameter:
387 .  A - the Mat context
388 
389    Output Parameter:
390 .  prefix - pointer to the prefix string used
391 
392    Notes: On the fortran side, the user should pass in a string 'prefix' of
393    sufficient length to hold the prefix.
394 
395    Level: advanced
396 
397 .keywords: Mat, get, options, prefix, database
398 
399 .seealso: MatAppendOptionsPrefix()
400 @*/
401 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOptionsPrefix(Mat A,const char *prefix[])
402 {
403   PetscErrorCode ierr;
404 
405   PetscFunctionBegin;
406   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
407   ierr = PetscObjectGetOptionsPrefix((PetscObject)A,prefix);CHKERRQ(ierr);
408   PetscFunctionReturn(0);
409 }
410 
411 #undef __FUNCT__
412 #define __FUNCT__ "MatSetUp"
413 /*@
414    MatSetUp - Sets up the internal matrix data structures for the later use.
415 
416    Collective on Mat
417 
418    Input Parameters:
419 .  A - the Mat context
420 
421    Notes:
422    For basic use of the Mat classes the user need not explicitly call
423    MatSetUp(), since these actions will happen automatically.
424 
425    Level: advanced
426 
427 .keywords: Mat, setup
428 
429 .seealso: MatCreate(), MatDestroy()
430 @*/
431 PetscErrorCode PETSCMAT_DLLEXPORT MatSetUp(Mat A)
432 {
433   PetscErrorCode ierr;
434 
435   PetscFunctionBegin;
436   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
437   ierr = MatSetUpPreallocation(A);CHKERRQ(ierr);
438   ierr = MatSetFromOptions(A);CHKERRQ(ierr);
439   PetscFunctionReturn(0);
440 }
441 
442 #undef __FUNCT__
443 #define __FUNCT__ "MatView"
444 /*@C
445    MatView - Visualizes a matrix object.
446 
447    Collective on Mat
448 
449    Input Parameters:
450 +  mat - the matrix
451 -  viewer - visualization context
452 
453   Notes:
454   The available visualization contexts include
455 +    PETSC_VIEWER_STDOUT_SELF - standard output (default)
456 .    PETSC_VIEWER_STDOUT_WORLD - synchronized standard
457         output where only the first processor opens
458         the file.  All other processors send their
459         data to the first processor to print.
460 -     PETSC_VIEWER_DRAW_WORLD - graphical display of nonzero structure
461 
462    The user can open alternative visualization contexts with
463 +    PetscViewerASCIIOpen() - Outputs matrix to a specified file
464 .    PetscViewerBinaryOpen() - Outputs matrix in binary to a
465          specified file; corresponding input uses MatLoad()
466 .    PetscViewerDrawOpen() - Outputs nonzero matrix structure to
467          an X window display
468 -    PetscViewerSocketOpen() - Outputs matrix to Socket viewer.
469          Currently only the sequential dense and AIJ
470          matrix types support the Socket viewer.
471 
472    The user can call PetscViewerSetFormat() to specify the output
473    format of ASCII printed objects (when using PETSC_VIEWER_STDOUT_SELF,
474    PETSC_VIEWER_STDOUT_WORLD and PetscViewerASCIIOpen).  Available formats include
475 +    PETSC_VIEWER_ASCII_DEFAULT - default, prints matrix contents
476 .    PETSC_VIEWER_ASCII_MATLAB - prints matrix contents in Matlab format
477 .    PETSC_VIEWER_ASCII_DENSE - prints entire matrix including zeros
478 .    PETSC_VIEWER_ASCII_COMMON - prints matrix contents, using a sparse
479          format common among all matrix types
480 .    PETSC_VIEWER_ASCII_IMPL - prints matrix contents, using an implementation-specific
481          format (which is in many cases the same as the default)
482 .    PETSC_VIEWER_ASCII_INFO - prints basic information about the matrix
483          size and structure (not the matrix entries)
484 .    PETSC_VIEWER_ASCII_INFO_DETAIL - prints more detailed information about
485          the matrix structure
486 
487    Options Database Keys:
488 +  -mat_view_info - Prints info on matrix at conclusion of MatEndAssembly()
489 .  -mat_view_info_detailed - Prints more detailed info
490 .  -mat_view - Prints matrix in ASCII format
491 .  -mat_view_matlab - Prints matrix in Matlab format
492 .  -mat_view_draw - PetscDraws nonzero structure of matrix, using MatView() and PetscDrawOpenX().
493 .  -display <name> - Sets display name (default is host)
494 .  -draw_pause <sec> - Sets number of seconds to pause after display
495 .  -mat_view_socket - Sends matrix to socket, can be accessed from Matlab (see users manual)
496 .  -viewer_socket_machine <machine>
497 .  -viewer_socket_port <port>
498 .  -mat_view_binary - save matrix to file in binary format
499 -  -viewer_binary_filename <name>
500    Level: beginner
501 
502    Concepts: matrices^viewing
503    Concepts: matrices^plotting
504    Concepts: matrices^printing
505 
506 .seealso: PetscViewerSetFormat(), PetscViewerASCIIOpen(), PetscViewerDrawOpen(),
507           PetscViewerSocketOpen(), PetscViewerBinaryOpen(), MatLoad()
508 @*/
509 PetscErrorCode PETSCMAT_DLLEXPORT MatView(Mat mat,PetscViewer viewer)
510 {
511   PetscErrorCode    ierr;
512   PetscInt          rows,cols;
513   PetscTruth        iascii;
514   const char        *cstr;
515   PetscViewerFormat format;
516 
517   PetscFunctionBegin;
518   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
519   PetscValidType(mat,1);
520   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(mat->comm);
521   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_COOKIE,2);
522   PetscCheckSameComm(mat,1,viewer,2);
523   if (!mat->assembled) SETERRQ(PETSC_ERR_ORDER,"Must call MatAssemblyBegin/End() before viewing matrix");
524   ierr = MatPreallocated(mat);CHKERRQ(ierr);
525 
526   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr);
527   if (iascii) {
528     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
529     if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
530       if (mat->prefix) {
531         ierr = PetscViewerASCIIPrintf(viewer,"Matrix Object:(%s)\n",mat->prefix);CHKERRQ(ierr);
532       } else {
533         ierr = PetscViewerASCIIPrintf(viewer,"Matrix Object:\n");CHKERRQ(ierr);
534       }
535       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
536       ierr = MatGetType(mat,&cstr);CHKERRQ(ierr);
537       ierr = MatGetSize(mat,&rows,&cols);CHKERRQ(ierr);
538       ierr = PetscViewerASCIIPrintf(viewer,"type=%s, rows=%D, cols=%D\n",cstr,rows,cols);CHKERRQ(ierr);
539       if (mat->ops->getinfo) {
540         MatInfo info;
541         ierr = MatGetInfo(mat,MAT_GLOBAL_SUM,&info);CHKERRQ(ierr);
542         ierr = PetscViewerASCIIPrintf(viewer,"total: nonzeros=%D, allocated nonzeros=%D\n",
543                           (PetscInt)info.nz_used,(PetscInt)info.nz_allocated);CHKERRQ(ierr);
544       }
545     }
546   }
547   if (mat->ops->view) {
548     ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
549     ierr = (*mat->ops->view)(mat,viewer);CHKERRQ(ierr);
550     ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
551   } else if (!iascii) {
552     SETERRQ1(PETSC_ERR_SUP,"Viewer type %s not supported",((PetscObject)viewer)->type_name);
553   }
554   if (iascii) {
555     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
556     if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
557       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
558     }
559   }
560   PetscFunctionReturn(0);
561 }
562 
563 #undef __FUNCT__
564 #define __FUNCT__ "MatScaleSystem"
565 /*@C
566    MatScaleSystem - Scale a vector solution and right hand side to
567    match the scaling of a scaled matrix.
568 
569    Collective on Mat
570 
571    Input Parameter:
572 +  mat - the matrix
573 .  b - right hand side vector (or PETSC_NULL)
574 -  x - solution vector (or PETSC_NULL)
575 
576 
577    Notes:
578    For AIJ, BAIJ, and BDiag matrix formats, the matrices are not
579    internally scaled, so this does nothing. For MPIROWBS it
580    permutes and diagonally scales.
581 
582    The KSP methods automatically call this routine when required
583    (via PCPreSolve()) so it is rarely used directly.
584 
585    Level: Developer
586 
587    Concepts: matrices^scaling
588 
589 .seealso: MatUseScaledForm(), MatUnScaleSystem()
590 @*/
591 PetscErrorCode PETSCMAT_DLLEXPORT MatScaleSystem(Mat mat,Vec b,Vec x)
592 {
593   PetscErrorCode ierr;
594 
595   PetscFunctionBegin;
596   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
597   PetscValidType(mat,1);
598   ierr = MatPreallocated(mat);CHKERRQ(ierr);
599   if (x) {PetscValidHeaderSpecific(x,VEC_COOKIE,2);PetscCheckSameComm(mat,1,x,2);}
600   if (b) {PetscValidHeaderSpecific(b,VEC_COOKIE,3);PetscCheckSameComm(mat,1,b,3);}
601 
602   if (mat->ops->scalesystem) {
603     ierr = (*mat->ops->scalesystem)(mat,b,x);CHKERRQ(ierr);
604   }
605   PetscFunctionReturn(0);
606 }
607 
608 #undef __FUNCT__
609 #define __FUNCT__ "MatUnScaleSystem"
610 /*@C
611    MatUnScaleSystem - Unscales a vector solution and right hand side to
612    match the original scaling of a scaled matrix.
613 
614    Collective on Mat
615 
616    Input Parameter:
617 +  mat - the matrix
618 .  b - right hand side vector (or PETSC_NULL)
619 -  x - solution vector (or PETSC_NULL)
620 
621 
622    Notes:
623    For AIJ, BAIJ, and BDiag matrix formats, the matrices are not
624    internally scaled, so this does nothing. For MPIROWBS it
625    permutes and diagonally scales.
626 
627    The KSP methods automatically call this routine when required
628    (via PCPreSolve()) so it is rarely used directly.
629 
630    Level: Developer
631 
632 .seealso: MatUseScaledForm(), MatScaleSystem()
633 @*/
634 PetscErrorCode PETSCMAT_DLLEXPORT MatUnScaleSystem(Mat mat,Vec b,Vec x)
635 {
636   PetscErrorCode ierr;
637 
638   PetscFunctionBegin;
639   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
640   PetscValidType(mat,1);
641   ierr = MatPreallocated(mat);CHKERRQ(ierr);
642   if (x) {PetscValidHeaderSpecific(x,VEC_COOKIE,2);PetscCheckSameComm(mat,1,x,2);}
643   if (b) {PetscValidHeaderSpecific(b,VEC_COOKIE,3);PetscCheckSameComm(mat,1,b,3);}
644   if (mat->ops->unscalesystem) {
645     ierr = (*mat->ops->unscalesystem)(mat,b,x);CHKERRQ(ierr);
646   }
647   PetscFunctionReturn(0);
648 }
649 
650 #undef __FUNCT__
651 #define __FUNCT__ "MatUseScaledForm"
652 /*@C
653    MatUseScaledForm - For matrix storage formats that scale the
654    matrix (for example MPIRowBS matrices are diagonally scaled on
655    assembly) indicates matrix operations (MatMult() etc) are
656    applied using the scaled matrix.
657 
658    Collective on Mat
659 
660    Input Parameter:
661 +  mat - the matrix
662 -  scaled - PETSC_TRUE for applying the scaled, PETSC_FALSE for
663             applying the original matrix
664 
665    Notes:
666    For scaled matrix formats, applying the original, unscaled matrix
667    will be slightly more expensive
668 
669    Level: Developer
670 
671 .seealso: MatScaleSystem(), MatUnScaleSystem()
672 @*/
673 PetscErrorCode PETSCMAT_DLLEXPORT MatUseScaledForm(Mat mat,PetscTruth scaled)
674 {
675   PetscErrorCode ierr;
676 
677   PetscFunctionBegin;
678   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
679   PetscValidType(mat,1);
680   ierr = MatPreallocated(mat);CHKERRQ(ierr);
681   if (mat->ops->usescaledform) {
682     ierr = (*mat->ops->usescaledform)(mat,scaled);CHKERRQ(ierr);
683   }
684   PetscFunctionReturn(0);
685 }
686 
687 #undef __FUNCT__
688 #define __FUNCT__ "MatDestroy"
689 /*@
690    MatDestroy - Frees space taken by a matrix.
691 
692    Collective on Mat
693 
694    Input Parameter:
695 .  A - the matrix
696 
697    Level: beginner
698 
699 @*/
700 PetscErrorCode PETSCMAT_DLLEXPORT MatDestroy(Mat A)
701 {
702   PetscErrorCode ierr;
703 
704   PetscFunctionBegin;
705   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
706   if (--A->refct > 0) PetscFunctionReturn(0);
707 
708   PetscValidType(A,1);
709   ierr = MatPreallocated(A);CHKERRQ(ierr);
710   /* if memory was published with AMS then destroy it */
711   ierr = PetscObjectDepublish(A);CHKERRQ(ierr);
712   if (A->mapping) {
713     ierr = ISLocalToGlobalMappingDestroy(A->mapping);CHKERRQ(ierr);
714   }
715   if (A->bmapping) {
716     ierr = ISLocalToGlobalMappingDestroy(A->bmapping);CHKERRQ(ierr);
717   }
718   ierr = (*A->ops->destroy)(A);CHKERRQ(ierr);
719   if (A->rmap.range) {
720     ierr = PetscFree(A->rmap.range);CHKERRQ(ierr);
721   }
722   if (A->cmap.range) {
723     ierr = PetscFree(A->cmap.range);CHKERRQ(ierr);
724   }
725   ierr = PetscHeaderDestroy(A);CHKERRQ(ierr);
726   PetscFunctionReturn(0);
727 }
728 
729 #undef __FUNCT__
730 #define __FUNCT__ "MatValid"
731 /*@
732    MatValid - Checks whether a matrix object is valid.
733 
734    Collective on Mat
735 
736    Input Parameter:
737 .  m - the matrix to check
738 
739    Output Parameter:
740    flg - flag indicating matrix status, either
741    PETSC_TRUE if matrix is valid, or PETSC_FALSE otherwise.
742 
743    Level: developer
744 
745    Concepts: matrices^validity
746 @*/
747 PetscErrorCode PETSCMAT_DLLEXPORT MatValid(Mat m,PetscTruth *flg)
748 {
749   PetscFunctionBegin;
750   PetscValidIntPointer(flg,1);
751   if (!m)                           *flg = PETSC_FALSE;
752   else if (m->cookie != MAT_COOKIE) *flg = PETSC_FALSE;
753   else                              *flg = PETSC_TRUE;
754   PetscFunctionReturn(0);
755 }
756 
757 #undef __FUNCT__
758 #define __FUNCT__ "MatSetValues"
759 /*@
760    MatSetValues - Inserts or adds a block of values into a matrix.
761    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
762    MUST be called after all calls to MatSetValues() have been completed.
763 
764    Not Collective
765 
766    Input Parameters:
767 +  mat - the matrix
768 .  v - a logically two-dimensional array of values
769 .  m, idxm - the number of rows and their global indices
770 .  n, idxn - the number of columns and their global indices
771 -  addv - either ADD_VALUES or INSERT_VALUES, where
772    ADD_VALUES adds values to any existing entries, and
773    INSERT_VALUES replaces existing entries with new values
774 
775    Notes:
776    By default the values, v, are row-oriented and unsorted.
777    See MatSetOption() for other options.
778 
779    Calls to MatSetValues() with the INSERT_VALUES and ADD_VALUES
780    options cannot be mixed without intervening calls to the assembly
781    routines.
782 
783    MatSetValues() uses 0-based row and column numbers in Fortran
784    as well as in C.
785 
786    Negative indices may be passed in idxm and idxn, these rows and columns are
787    simply ignored. This allows easily inserting element stiffness matrices
788    with homogeneous Dirchlet boundary conditions that you don't want represented
789    in the matrix.
790 
791    Efficiency Alert:
792    The routine MatSetValuesBlocked() may offer much better efficiency
793    for users of block sparse formats (MATSEQBAIJ and MATMPIBAIJ).
794 
795    Level: beginner
796 
797    Concepts: matrices^putting entries in
798 
799 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
800           InsertMode, INSERT_VALUES, ADD_VALUES
801 @*/
802 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValues(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],const PetscScalar v[],InsertMode addv)
803 {
804   PetscErrorCode ierr;
805 
806   PetscFunctionBegin;
807   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
808   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
809   PetscValidType(mat,1);
810   PetscValidIntPointer(idxm,3);
811   PetscValidIntPointer(idxn,5);
812   PetscValidScalarPointer(v,6);
813   ierr = MatPreallocated(mat);CHKERRQ(ierr);
814   if (mat->insertmode == NOT_SET_VALUES) {
815     mat->insertmode = addv;
816   }
817 #if defined(PETSC_USE_DEBUG)
818   else if (mat->insertmode != addv) {
819     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
820   }
821   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
822 #endif
823 
824   if (mat->assembled) {
825     mat->was_assembled = PETSC_TRUE;
826     mat->assembled     = PETSC_FALSE;
827   }
828   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
829   if (!mat->ops->setvalues) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
830   ierr = (*mat->ops->setvalues)(mat,m,idxm,n,idxn,v,addv);CHKERRQ(ierr);
831   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
832   PetscFunctionReturn(0);
833 }
834 
835 
836 #undef __FUNCT__
837 #define __FUNCT__ "MatSetValuesRowLocal"
838 /*@
839    MatSetValuesRowLocal - Inserts a row (block row for BAIJ matrices) of nonzero
840         values into a matrix
841 
842    Not Collective
843 
844    Input Parameters:
845 +  mat - the matrix
846 .  row - the (block) row to set
847 -  v - a logically two-dimensional array of values
848 
849    Notes:
850    By the values, v, are column-oriented (for the block version) and sorted
851 
852    All the nonzeros in the row must be provided
853 
854    The matrix must have previously had its column indices set
855 
856    The row must belong to this process
857 
858    Level: intermediate
859 
860    Concepts: matrices^putting entries in
861 
862 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
863           InsertMode, INSERT_VALUES, ADD_VALUES, MatSetValues(), MatSetValuesRow(), MatSetLocalToGlobalMapping()
864 @*/
865 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesRowLocal(Mat mat,PetscInt row,const PetscScalar v[])
866 {
867   PetscErrorCode ierr;
868 
869   PetscFunctionBegin;
870   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
871   PetscValidType(mat,1);
872   PetscValidScalarPointer(v,2);
873   ierr = MatSetValuesRow(mat, mat->mapping->indices[row],v);CHKERRQ(ierr);
874   PetscFunctionReturn(0);
875 }
876 
877 #undef __FUNCT__
878 #define __FUNCT__ "MatSetValuesRow"
879 /*@
880    MatSetValuesRow - Inserts a row (block row for BAIJ matrices) of nonzero
881         values into a matrix
882 
883    Not Collective
884 
885    Input Parameters:
886 +  mat - the matrix
887 .  row - the (block) row to set
888 -  v - a logically two-dimensional array of values
889 
890    Notes:
891    By the values, v, are column-oriented (for the block version) and sorted
892 
893    All the nonzeros in the row must be provided
894 
895    The matrix must have previously had its column indices set
896 
897    The row must belong to this process
898 
899    Level: intermediate
900 
901    Concepts: matrices^putting entries in
902 
903 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
904           InsertMode, INSERT_VALUES, ADD_VALUES, MatSetValues()
905 @*/
906 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesRow(Mat mat,PetscInt row,const PetscScalar v[])
907 {
908   PetscErrorCode ierr;
909 
910   PetscFunctionBegin;
911   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
912   PetscValidType(mat,1);
913   PetscValidScalarPointer(v,2);
914 #if defined(PETSC_USE_DEBUG)
915   if (mat->insertmode == ADD_VALUES) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add and insert values");
916   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
917 #endif
918   mat->insertmode = INSERT_VALUES;
919 
920   if (mat->assembled) {
921     mat->was_assembled = PETSC_TRUE;
922     mat->assembled     = PETSC_FALSE;
923   }
924   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
925   if (!mat->ops->setvaluesrow) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
926   ierr = (*mat->ops->setvaluesrow)(mat,row,v);CHKERRQ(ierr);
927   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
928   PetscFunctionReturn(0);
929 }
930 
931 #undef __FUNCT__
932 #define __FUNCT__ "MatSetValuesStencil"
933 /*@
934    MatSetValuesStencil - Inserts or adds a block of values into a matrix.
935      Using structured grid indexing
936 
937    Not Collective
938 
939    Input Parameters:
940 +  mat - the matrix
941 .  v - a logically two-dimensional array of values
942 .  m - number of rows being entered
943 .  idxm - grid coordinates (and component number when dof > 1) for matrix rows being entered
944 .  n - number of columns being entered
945 .  idxn - grid coordinates (and component number when dof > 1) for matrix columns being entered
946 -  addv - either ADD_VALUES or INSERT_VALUES, where
947    ADD_VALUES adds values to any existing entries, and
948    INSERT_VALUES replaces existing entries with new values
949 
950    Notes:
951    By default the values, v, are row-oriented and unsorted.
952    See MatSetOption() for other options.
953 
954    Calls to MatSetValuesStencil() with the INSERT_VALUES and ADD_VALUES
955    options cannot be mixed without intervening calls to the assembly
956    routines.
957 
958    The grid coordinates are across the entire grid, not just the local portion
959 
960    MatSetValuesStencil() uses 0-based row and column numbers in Fortran
961    as well as in C.
962 
963    For setting/accessing vector values via array coordinates you can use the DAVecGetArray() routine
964 
965    In order to use this routine you must either obtain the matrix with DAGetMatrix()
966    or call MatSetLocalToGlobalMapping() and MatSetStencil() first.
967 
968    The columns and rows in the stencil passed in MUST be contained within the
969    ghost region of the given process as set with DACreateXXX() or MatSetStencil(). For example,
970    if you create a DA with an overlap of one grid level and on a particular process its first
971    local nonghost x logical coordinate is 6 (so its first ghost x logical coordinate is 5) the
972    first i index you can use in your column and row indices in MatSetStencil() is 5.
973 
974    In Fortran idxm and idxn should be declared as
975 $     MatStencil idxm(4,m),idxn(4,n)
976    and the values inserted using
977 $    idxm(MatStencil_i,1) = i
978 $    idxm(MatStencil_j,1) = j
979 $    idxm(MatStencil_k,1) = k
980 $    idxm(MatStencil_c,1) = c
981    etc
982 
983    For periodic boundary conditions use negative indices for values to the left (below 0; that are to be
984    obtained by wrapping values from right edge). For values to the right of the last entry using that index plus one
985    etc to obtain values that obtained by wrapping the values from the left edge.
986 
987    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
988    a single value per point) you can skip filling those indices.
989 
990    Inspired by the structured grid interface to the HYPRE package
991    (http://www.llnl.gov/CASC/hypre)
992 
993    Efficiency Alert:
994    The routine MatSetValuesBlockedStencil() may offer much better efficiency
995    for users of block sparse formats (MATSEQBAIJ and MATMPIBAIJ).
996 
997    Level: beginner
998 
999    Concepts: matrices^putting entries in
1000 
1001 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1002           MatSetValues(), MatSetValuesBlockedStencil(), MatSetStencil(), DAGetMatrix(), DAVecGetArray(), MatStencil
1003 @*/
1004 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesStencil(Mat mat,PetscInt m,const MatStencil idxm[],PetscInt n,const MatStencil idxn[],const PetscScalar v[],InsertMode addv)
1005 {
1006   PetscErrorCode ierr;
1007   PetscInt       j,i,jdxm[128],jdxn[256],dim = mat->stencil.dim,*dims = mat->stencil.dims+1,tmp;
1008   PetscInt       *starts = mat->stencil.starts,*dxm = (PetscInt*)idxm,*dxn = (PetscInt*)idxn,sdim = dim - (1 - (PetscInt)mat->stencil.noc);
1009 
1010   PetscFunctionBegin;
1011   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1012   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1013   PetscValidType(mat,1);
1014   PetscValidIntPointer(idxm,3);
1015   PetscValidIntPointer(idxn,5);
1016   PetscValidScalarPointer(v,6);
1017 
1018   if (m > 128) SETERRQ1(PETSC_ERR_SUP,"Can only set 128 rows at a time; trying to set %D",m);
1019   if (n > 256) SETERRQ1(PETSC_ERR_SUP,"Can only set 256 columns at a time; trying to set %D",n);
1020 
1021   for (i=0; i<m; i++) {
1022     for (j=0; j<3-sdim; j++) dxm++;
1023     tmp = *dxm++ - starts[0];
1024     for (j=0; j<dim-1; j++) {
1025       if ((*dxm++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1026       else                                       tmp = tmp*dims[j] + *(dxm-1) - starts[j+1];
1027     }
1028     if (mat->stencil.noc) dxm++;
1029     jdxm[i] = tmp;
1030   }
1031   for (i=0; i<n; i++) {
1032     for (j=0; j<3-sdim; j++) dxn++;
1033     tmp = *dxn++ - starts[0];
1034     for (j=0; j<dim-1; j++) {
1035       if ((*dxn++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1036       else                                       tmp = tmp*dims[j] + *(dxn-1) - starts[j+1];
1037     }
1038     if (mat->stencil.noc) dxn++;
1039     jdxn[i] = tmp;
1040   }
1041   ierr = MatSetValuesLocal(mat,m,jdxm,n,jdxn,v,addv);CHKERRQ(ierr);
1042   PetscFunctionReturn(0);
1043 }
1044 
1045 #undef __FUNCT__
1046 #define __FUNCT__ "MatSetValuesBlockedStencil"
1047 /*@C
1048    MatSetValuesBlockedStencil - Inserts or adds a block of values into a matrix.
1049      Using structured grid indexing
1050 
1051    Not Collective
1052 
1053    Input Parameters:
1054 +  mat - the matrix
1055 .  v - a logically two-dimensional array of values
1056 .  m - number of rows being entered
1057 .  idxm - grid coordinates for matrix rows being entered
1058 .  n - number of columns being entered
1059 .  idxn - grid coordinates for matrix columns being entered
1060 -  addv - either ADD_VALUES or INSERT_VALUES, where
1061    ADD_VALUES adds values to any existing entries, and
1062    INSERT_VALUES replaces existing entries with new values
1063 
1064    Notes:
1065    By default the values, v, are row-oriented and unsorted.
1066    See MatSetOption() for other options.
1067 
1068    Calls to MatSetValuesBlockedStencil() with the INSERT_VALUES and ADD_VALUES
1069    options cannot be mixed without intervening calls to the assembly
1070    routines.
1071 
1072    The grid coordinates are across the entire grid, not just the local portion
1073 
1074    MatSetValuesBlockedStencil() uses 0-based row and column numbers in Fortran
1075    as well as in C.
1076 
1077    For setting/accessing vector values via array coordinates you can use the DAVecGetArray() routine
1078 
1079    In order to use this routine you must either obtain the matrix with DAGetMatrix()
1080    or call MatSetLocalToGlobalMapping() and MatSetStencil() first.
1081 
1082    The columns and rows in the stencil passed in MUST be contained within the
1083    ghost region of the given process as set with DACreateXXX() or MatSetStencil(). For example,
1084    if you create a DA with an overlap of one grid level and on a particular process its first
1085    local nonghost x logical coordinate is 6 (so its first ghost x logical coordinate is 5) the
1086    first i index you can use in your column and row indices in MatSetStencil() is 5.
1087 
1088    In Fortran idxm and idxn should be declared as
1089 $     MatStencil idxm(4,m),idxn(4,n)
1090    and the values inserted using
1091 $    idxm(MatStencil_i,1) = i
1092 $    idxm(MatStencil_j,1) = j
1093 $    idxm(MatStencil_k,1) = k
1094    etc
1095 
1096    Negative indices may be passed in idxm and idxn, these rows and columns are
1097    simply ignored. This allows easily inserting element stiffness matrices
1098    with homogeneous Dirchlet boundary conditions that you don't want represented
1099    in the matrix.
1100 
1101    Inspired by the structured grid interface to the HYPRE package
1102    (http://www.llnl.gov/CASC/hypre)
1103 
1104    Level: beginner
1105 
1106    Concepts: matrices^putting entries in
1107 
1108 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1109           MatSetValues(), MatSetValuesStencil(), MatSetStencil(), DAGetMatrix(), DAVecGetArray(), MatStencil
1110 @*/
1111 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlockedStencil(Mat mat,PetscInt m,const MatStencil idxm[],PetscInt n,const MatStencil idxn[],const PetscScalar v[],InsertMode addv)
1112 {
1113   PetscErrorCode ierr;
1114   PetscInt       j,i,jdxm[128],jdxn[256],dim = mat->stencil.dim,*dims = mat->stencil.dims+1,tmp;
1115   PetscInt       *starts = mat->stencil.starts,*dxm = (PetscInt*)idxm,*dxn = (PetscInt*)idxn,sdim = dim - (1 - (PetscInt)mat->stencil.noc);
1116 
1117   PetscFunctionBegin;
1118   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1119   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1120   PetscValidType(mat,1);
1121   PetscValidIntPointer(idxm,3);
1122   PetscValidIntPointer(idxn,5);
1123   PetscValidScalarPointer(v,6);
1124 
1125   if (m > 128) SETERRQ1(PETSC_ERR_SUP,"Can only set 128 rows at a time; trying to set %D",m);
1126   if (n > 128) SETERRQ1(PETSC_ERR_SUP,"Can only set 256 columns at a time; trying to set %D",n);
1127 
1128   for (i=0; i<m; i++) {
1129     for (j=0; j<3-sdim; j++) dxm++;
1130     tmp = *dxm++ - starts[0];
1131     for (j=0; j<sdim-1; j++) {
1132       if ((*dxm++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1133       else                                      tmp = tmp*dims[j] + *(dxm-1) - starts[j+1];
1134     }
1135     dxm++;
1136     jdxm[i] = tmp;
1137   }
1138   for (i=0; i<n; i++) {
1139     for (j=0; j<3-sdim; j++) dxn++;
1140     tmp = *dxn++ - starts[0];
1141     for (j=0; j<sdim-1; j++) {
1142       if ((*dxn++ - starts[j+1]) < 0 || tmp < 0) tmp = PETSC_MIN_INT;
1143       else                                       tmp = tmp*dims[j] + *(dxn-1) - starts[j+1];
1144     }
1145     dxn++;
1146     jdxn[i] = tmp;
1147   }
1148   ierr = MatSetValuesBlockedLocal(mat,m,jdxm,n,jdxn,v,addv);CHKERRQ(ierr);
1149   PetscFunctionReturn(0);
1150 }
1151 
1152 #undef __FUNCT__
1153 #define __FUNCT__ "MatSetStencil"
1154 /*@
1155    MatSetStencil - Sets the grid information for setting values into a matrix via
1156         MatSetValuesStencil()
1157 
1158    Not Collective
1159 
1160    Input Parameters:
1161 +  mat - the matrix
1162 .  dim - dimension of the grid 1, 2, or 3
1163 .  dims - number of grid points in x, y, and z direction, including ghost points on your processor
1164 .  starts - starting point of ghost nodes on your processor in x, y, and z direction
1165 -  dof - number of degrees of freedom per node
1166 
1167 
1168    Inspired by the structured grid interface to the HYPRE package
1169    (www.llnl.gov/CASC/hyper)
1170 
1171    For matrices generated with DAGetMatrix() this routine is automatically called and so not needed by the
1172    user.
1173 
1174    Level: beginner
1175 
1176    Concepts: matrices^putting entries in
1177 
1178 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal()
1179           MatSetValues(), MatSetValuesBlockedStencil(), MatSetValuesStencil()
1180 @*/
1181 PetscErrorCode PETSCMAT_DLLEXPORT MatSetStencil(Mat mat,PetscInt dim,const PetscInt dims[],const PetscInt starts[],PetscInt dof)
1182 {
1183   PetscInt i;
1184 
1185   PetscFunctionBegin;
1186   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1187   PetscValidIntPointer(dims,3);
1188   PetscValidIntPointer(starts,4);
1189 
1190   mat->stencil.dim = dim + (dof > 1);
1191   for (i=0; i<dim; i++) {
1192     mat->stencil.dims[i]   = dims[dim-i-1];      /* copy the values in backwards */
1193     mat->stencil.starts[i] = starts[dim-i-1];
1194   }
1195   mat->stencil.dims[dim]   = dof;
1196   mat->stencil.starts[dim] = 0;
1197   mat->stencil.noc         = (PetscTruth)(dof == 1);
1198   PetscFunctionReturn(0);
1199 }
1200 
1201 #undef __FUNCT__
1202 #define __FUNCT__ "MatSetValuesBlocked"
1203 /*@
1204    MatSetValuesBlocked - Inserts or adds a block of values into a matrix.
1205 
1206    Not Collective
1207 
1208    Input Parameters:
1209 +  mat - the matrix
1210 .  v - a logically two-dimensional array of values
1211 .  m, idxm - the number of block rows and their global block indices
1212 .  n, idxn - the number of block columns and their global block indices
1213 -  addv - either ADD_VALUES or INSERT_VALUES, where
1214    ADD_VALUES adds values to any existing entries, and
1215    INSERT_VALUES replaces existing entries with new values
1216 
1217    Notes:
1218    The m and n count the NUMBER of blocks in the row direction and column direction,
1219    NOT the total number of rows/columns; for example, if the block size is 2 and
1220    you are passing in values for rows 2,3,4,5  then m would be 2 (not 4).
1221 
1222    By default the values, v, are row-oriented and unsorted. So the layout of
1223    v is the same as for MatSetValues(). See MatSetOption() for other options.
1224 
1225    Calls to MatSetValuesBlocked() with the INSERT_VALUES and ADD_VALUES
1226    options cannot be mixed without intervening calls to the assembly
1227    routines.
1228 
1229    MatSetValuesBlocked() uses 0-based row and column numbers in Fortran
1230    as well as in C.
1231 
1232    Negative indices may be passed in idxm and idxn, these rows and columns are
1233    simply ignored. This allows easily inserting element stiffness matrices
1234    with homogeneous Dirchlet boundary conditions that you don't want represented
1235    in the matrix.
1236 
1237    Each time an entry is set within a sparse matrix via MatSetValues(),
1238    internal searching must be done to determine where to place the the
1239    data in the matrix storage space.  By instead inserting blocks of
1240    entries via MatSetValuesBlocked(), the overhead of matrix assembly is
1241    reduced.
1242 
1243    Restrictions:
1244    MatSetValuesBlocked() is currently supported only for the BAIJ and SBAIJ formats
1245 
1246    Level: intermediate
1247 
1248    Concepts: matrices^putting entries in blocked
1249 
1250 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesBlockedLocal()
1251 @*/
1252 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlocked(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],const PetscScalar v[],InsertMode addv)
1253 {
1254   PetscErrorCode ierr;
1255 
1256   PetscFunctionBegin;
1257   if (!m || !n) PetscFunctionReturn(0); /* no values to insert */
1258   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1259   PetscValidType(mat,1);
1260   PetscValidIntPointer(idxm,3);
1261   PetscValidIntPointer(idxn,5);
1262   PetscValidScalarPointer(v,6);
1263   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1264   if (mat->insertmode == NOT_SET_VALUES) {
1265     mat->insertmode = addv;
1266   }
1267 #if defined(PETSC_USE_DEBUG)
1268   else if (mat->insertmode != addv) {
1269     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1270   }
1271   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1272 #endif
1273 
1274   if (mat->assembled) {
1275     mat->was_assembled = PETSC_TRUE;
1276     mat->assembled     = PETSC_FALSE;
1277   }
1278   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1279   if (!mat->ops->setvaluesblocked) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
1280   ierr = (*mat->ops->setvaluesblocked)(mat,m,idxm,n,idxn,v,addv);CHKERRQ(ierr);
1281   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1282   PetscFunctionReturn(0);
1283 }
1284 
1285 #undef __FUNCT__
1286 #define __FUNCT__ "MatGetValues"
1287 /*@
1288    MatGetValues - Gets a block of values from a matrix.
1289 
1290    Not Collective; currently only returns a local block
1291 
1292    Input Parameters:
1293 +  mat - the matrix
1294 .  v - a logically two-dimensional array for storing the values
1295 .  m, idxm - the number of rows and their global indices
1296 -  n, idxn - the number of columns and their global indices
1297 
1298    Notes:
1299    The user must allocate space (m*n PetscScalars) for the values, v.
1300    The values, v, are then returned in a row-oriented format,
1301    analogous to that used by default in MatSetValues().
1302 
1303    MatGetValues() uses 0-based row and column numbers in
1304    Fortran as well as in C.
1305 
1306    MatGetValues() requires that the matrix has been assembled
1307    with MatAssemblyBegin()/MatAssemblyEnd().  Thus, calls to
1308    MatSetValues() and MatGetValues() CANNOT be made in succession
1309    without intermediate matrix assembly.
1310 
1311    Level: advanced
1312 
1313    Concepts: matrices^accessing values
1314 
1315 .seealso: MatGetRow(), MatGetSubmatrices(), MatSetValues()
1316 @*/
1317 PetscErrorCode PETSCMAT_DLLEXPORT MatGetValues(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
1318 {
1319   PetscErrorCode ierr;
1320 
1321   PetscFunctionBegin;
1322   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1323   PetscValidType(mat,1);
1324   PetscValidIntPointer(idxm,3);
1325   PetscValidIntPointer(idxn,5);
1326   PetscValidScalarPointer(v,6);
1327   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1328   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1329   if (!mat->ops->getvalues) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
1330   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1331 
1332   ierr = PetscLogEventBegin(MAT_GetValues,mat,0,0,0);CHKERRQ(ierr);
1333   ierr = (*mat->ops->getvalues)(mat,m,idxm,n,idxn,v);CHKERRQ(ierr);
1334   ierr = PetscLogEventEnd(MAT_GetValues,mat,0,0,0);CHKERRQ(ierr);
1335   PetscFunctionReturn(0);
1336 }
1337 
1338 #undef __FUNCT__
1339 #define __FUNCT__ "MatSetLocalToGlobalMapping"
1340 /*@
1341    MatSetLocalToGlobalMapping - Sets a local-to-global numbering for use by
1342    the routine MatSetValuesLocal() to allow users to insert matrix entries
1343    using a local (per-processor) numbering.
1344 
1345    Not Collective
1346 
1347    Input Parameters:
1348 +  x - the matrix
1349 -  mapping - mapping created with ISLocalToGlobalMappingCreate()
1350              or ISLocalToGlobalMappingCreateIS()
1351 
1352    Level: intermediate
1353 
1354    Concepts: matrices^local to global mapping
1355    Concepts: local to global mapping^for matrices
1356 
1357 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesLocal()
1358 @*/
1359 PetscErrorCode PETSCMAT_DLLEXPORT MatSetLocalToGlobalMapping(Mat x,ISLocalToGlobalMapping mapping)
1360 {
1361   PetscErrorCode ierr;
1362   PetscFunctionBegin;
1363   PetscValidHeaderSpecific(x,MAT_COOKIE,1);
1364   PetscValidType(x,1);
1365   PetscValidHeaderSpecific(mapping,IS_LTOGM_COOKIE,2);
1366   if (x->mapping) {
1367     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Mapping already set for matrix");
1368   }
1369   ierr = MatPreallocated(x);CHKERRQ(ierr);
1370 
1371   if (x->ops->setlocaltoglobalmapping) {
1372     ierr = (*x->ops->setlocaltoglobalmapping)(x,mapping);CHKERRQ(ierr);
1373   } else {
1374     x->mapping = mapping;
1375     ierr = PetscObjectReference((PetscObject)mapping);CHKERRQ(ierr);
1376   }
1377   PetscFunctionReturn(0);
1378 }
1379 
1380 #undef __FUNCT__
1381 #define __FUNCT__ "MatSetLocalToGlobalMappingBlock"
1382 /*@
1383    MatSetLocalToGlobalMappingBlock - Sets a local-to-global numbering for use
1384    by the routine MatSetValuesBlockedLocal() to allow users to insert matrix
1385    entries using a local (per-processor) numbering.
1386 
1387    Not Collective
1388 
1389    Input Parameters:
1390 +  x - the matrix
1391 -  mapping - mapping created with ISLocalToGlobalMappingCreate() or
1392              ISLocalToGlobalMappingCreateIS()
1393 
1394    Level: intermediate
1395 
1396    Concepts: matrices^local to global mapping blocked
1397    Concepts: local to global mapping^for matrices, blocked
1398 
1399 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetValuesBlockedLocal(),
1400            MatSetValuesBlocked(), MatSetValuesLocal()
1401 @*/
1402 PetscErrorCode PETSCMAT_DLLEXPORT MatSetLocalToGlobalMappingBlock(Mat x,ISLocalToGlobalMapping mapping)
1403 {
1404   PetscErrorCode ierr;
1405   PetscFunctionBegin;
1406   PetscValidHeaderSpecific(x,MAT_COOKIE,1);
1407   PetscValidType(x,1);
1408   PetscValidHeaderSpecific(mapping,IS_LTOGM_COOKIE,2);
1409   if (x->bmapping) {
1410     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Mapping already set for matrix");
1411   }
1412   x->bmapping = mapping;
1413   ierr = PetscObjectReference((PetscObject)mapping);CHKERRQ(ierr);
1414   PetscFunctionReturn(0);
1415 }
1416 
1417 #undef __FUNCT__
1418 #define __FUNCT__ "MatSetValuesLocal"
1419 /*@
1420    MatSetValuesLocal - Inserts or adds values into certain locations of a matrix,
1421    using a local ordering of the nodes.
1422 
1423    Not Collective
1424 
1425    Input Parameters:
1426 +  x - the matrix
1427 .  nrow, irow - number of rows and their local indices
1428 .  ncol, icol - number of columns and their local indices
1429 .  y -  a logically two-dimensional array of values
1430 -  addv - either INSERT_VALUES or ADD_VALUES, where
1431    ADD_VALUES adds values to any existing entries, and
1432    INSERT_VALUES replaces existing entries with new values
1433 
1434    Notes:
1435    Before calling MatSetValuesLocal(), the user must first set the
1436    local-to-global mapping by calling MatSetLocalToGlobalMapping().
1437 
1438    Calls to MatSetValuesLocal() with the INSERT_VALUES and ADD_VALUES
1439    options cannot be mixed without intervening calls to the assembly
1440    routines.
1441 
1442    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
1443    MUST be called after all calls to MatSetValuesLocal() have been completed.
1444 
1445    Level: intermediate
1446 
1447    Concepts: matrices^putting entries in with local numbering
1448 
1449 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValues(), MatSetLocalToGlobalMapping(),
1450            MatSetValueLocal()
1451 @*/
1452 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesLocal(Mat mat,PetscInt nrow,const PetscInt irow[],PetscInt ncol,const PetscInt icol[],const PetscScalar y[],InsertMode addv)
1453 {
1454   PetscErrorCode ierr;
1455   PetscInt       irowm[2048],icolm[2048];
1456 
1457   PetscFunctionBegin;
1458   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1459   PetscValidType(mat,1);
1460   PetscValidIntPointer(irow,3);
1461   PetscValidIntPointer(icol,5);
1462   PetscValidScalarPointer(y,6);
1463   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1464   if (mat->insertmode == NOT_SET_VALUES) {
1465     mat->insertmode = addv;
1466   }
1467 #if defined(PETSC_USE_DEBUG)
1468   else if (mat->insertmode != addv) {
1469     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1470   }
1471   if (!mat->ops->setvalueslocal && (nrow > 2048 || ncol > 2048)) {
1472     SETERRQ2(PETSC_ERR_SUP,"Number column/row indices must be <= 2048: are %D %D",nrow,ncol);
1473   }
1474   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1475 #endif
1476 
1477   if (mat->assembled) {
1478     mat->was_assembled = PETSC_TRUE;
1479     mat->assembled     = PETSC_FALSE;
1480   }
1481   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1482   if (!mat->ops->setvalueslocal) {
1483     ierr = ISLocalToGlobalMappingApply(mat->mapping,nrow,irow,irowm);CHKERRQ(ierr);
1484     ierr = ISLocalToGlobalMappingApply(mat->mapping,ncol,icol,icolm);CHKERRQ(ierr);
1485     ierr = (*mat->ops->setvalues)(mat,nrow,irowm,ncol,icolm,y,addv);CHKERRQ(ierr);
1486   } else {
1487     ierr = (*mat->ops->setvalueslocal)(mat,nrow,irow,ncol,icol,y,addv);CHKERRQ(ierr);
1488   }
1489   mat->same_nonzero = PETSC_FALSE;
1490   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1491   PetscFunctionReturn(0);
1492 }
1493 
1494 #undef __FUNCT__
1495 #define __FUNCT__ "MatSetValuesBlockedLocal"
1496 /*@
1497    MatSetValuesBlockedLocal - Inserts or adds values into certain locations of a matrix,
1498    using a local ordering of the nodes a block at a time.
1499 
1500    Not Collective
1501 
1502    Input Parameters:
1503 +  x - the matrix
1504 .  nrow, irow - number of rows and their local indices
1505 .  ncol, icol - number of columns and their local indices
1506 .  y -  a logically two-dimensional array of values
1507 -  addv - either INSERT_VALUES or ADD_VALUES, where
1508    ADD_VALUES adds values to any existing entries, and
1509    INSERT_VALUES replaces existing entries with new values
1510 
1511    Notes:
1512    Before calling MatSetValuesBlockedLocal(), the user must first set the
1513    local-to-global mapping by calling MatSetLocalToGlobalMappingBlock(),
1514    where the mapping MUST be set for matrix blocks, not for matrix elements.
1515 
1516    Calls to MatSetValuesBlockedLocal() with the INSERT_VALUES and ADD_VALUES
1517    options cannot be mixed without intervening calls to the assembly
1518    routines.
1519 
1520    These values may be cached, so MatAssemblyBegin() and MatAssemblyEnd()
1521    MUST be called after all calls to MatSetValuesBlockedLocal() have been completed.
1522 
1523    Level: intermediate
1524 
1525    Concepts: matrices^putting blocked values in with local numbering
1526 
1527 .seealso:  MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesLocal(), MatSetLocalToGlobalMappingBlock(), MatSetValuesBlocked()
1528 @*/
1529 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlockedLocal(Mat mat,PetscInt nrow,const PetscInt irow[],PetscInt ncol,const PetscInt icol[],const PetscScalar y[],InsertMode addv)
1530 {
1531   PetscErrorCode ierr;
1532   PetscInt       irowm[2048],icolm[2048];
1533 
1534   PetscFunctionBegin;
1535   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1536   PetscValidType(mat,1);
1537   PetscValidIntPointer(irow,3);
1538   PetscValidIntPointer(icol,5);
1539   PetscValidScalarPointer(y,6);
1540   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1541   if (mat->insertmode == NOT_SET_VALUES) {
1542     mat->insertmode = addv;
1543   }
1544 #if defined(PETSC_USE_DEBUG)
1545   else if (mat->insertmode != addv) {
1546     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
1547   }
1548   if (!mat->bmapping) {
1549     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Local to global never set with MatSetLocalToGlobalMappingBlock()");
1550   }
1551   if (nrow > 2048 || ncol > 2048) {
1552     SETERRQ2(PETSC_ERR_SUP,"Number column/row indices must be <= 2048: are %D %D",nrow,ncol);
1553   }
1554   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1555 #endif
1556 
1557   if (mat->assembled) {
1558     mat->was_assembled = PETSC_TRUE;
1559     mat->assembled     = PETSC_FALSE;
1560   }
1561   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1562   ierr = ISLocalToGlobalMappingApply(mat->bmapping,nrow,irow,irowm);CHKERRQ(ierr);
1563   ierr = ISLocalToGlobalMappingApply(mat->bmapping,ncol,icol,icolm);CHKERRQ(ierr);
1564   ierr = (*mat->ops->setvaluesblocked)(mat,nrow,irowm,ncol,icolm,y,addv);CHKERRQ(ierr);
1565   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
1566   PetscFunctionReturn(0);
1567 }
1568 
1569 /* --------------------------------------------------------*/
1570 #undef __FUNCT__
1571 #define __FUNCT__ "MatMult"
1572 /*@
1573    MatMult - Computes the matrix-vector product, y = Ax.
1574 
1575    Collective on Mat and Vec
1576 
1577    Input Parameters:
1578 +  mat - the matrix
1579 -  x   - the vector to be multiplied
1580 
1581    Output Parameters:
1582 .  y - the result
1583 
1584    Notes:
1585    The vectors x and y cannot be the same.  I.e., one cannot
1586    call MatMult(A,y,y).
1587 
1588    Level: beginner
1589 
1590    Concepts: matrix-vector product
1591 
1592 .seealso: MatMultTranspose(), MatMultAdd(), MatMultTransposeAdd()
1593 @*/
1594 PetscErrorCode PETSCMAT_DLLEXPORT MatMult(Mat mat,Vec x,Vec y)
1595 {
1596   PetscErrorCode ierr;
1597 
1598   PetscFunctionBegin;
1599   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1600   PetscValidType(mat,1);
1601   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1602   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1603 
1604   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1605   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1606   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1607 #ifndef PETSC_HAVE_CONSTRAINTS
1608   if (mat->N != x->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->N,x->N);
1609   if (mat->M != y->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->M,y->N);
1610   if (mat->m != y->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: local dim %D %D",mat->m,y->n);
1611 #endif
1612   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1613 
1614   if (mat->nullsp) {
1615     ierr = MatNullSpaceRemove(mat->nullsp,x,&x);CHKERRQ(ierr);
1616   }
1617 
1618   if (!mat->ops->mult) SETERRQ(PETSC_ERR_SUP,"This matrix type does not have a multiply defined");
1619   ierr = PetscLogEventBegin(MAT_Mult,mat,x,y,0);CHKERRQ(ierr);
1620   ierr = (*mat->ops->mult)(mat,x,y);CHKERRQ(ierr);
1621   ierr = PetscLogEventEnd(MAT_Mult,mat,x,y,0);CHKERRQ(ierr);
1622 
1623   if (mat->nullsp) {
1624     ierr = MatNullSpaceRemove(mat->nullsp,y,PETSC_NULL);CHKERRQ(ierr);
1625   }
1626   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1627   PetscFunctionReturn(0);
1628 }
1629 
1630 #undef __FUNCT__
1631 #define __FUNCT__ "MatMultTranspose"
1632 /*@
1633    MatMultTranspose - Computes matrix transpose times a vector.
1634 
1635    Collective on Mat and Vec
1636 
1637    Input Parameters:
1638 +  mat - the matrix
1639 -  x   - the vector to be multilplied
1640 
1641    Output Parameters:
1642 .  y - the result
1643 
1644    Notes:
1645    The vectors x and y cannot be the same.  I.e., one cannot
1646    call MatMultTranspose(A,y,y).
1647 
1648    Level: beginner
1649 
1650    Concepts: matrix vector product^transpose
1651 
1652 .seealso: MatMult(), MatMultAdd(), MatMultTransposeAdd()
1653 @*/
1654 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTranspose(Mat mat,Vec x,Vec y)
1655 {
1656   PetscErrorCode ierr;
1657 
1658   PetscFunctionBegin;
1659   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1660   PetscValidType(mat,1);
1661   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1662   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1663 
1664   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1665   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1666   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1667 #ifndef PETSC_HAVE_CONSTRAINTS
1668   if (mat->M != x->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->M,x->N);
1669   if (mat->N != y->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->N,y->N);
1670 #endif
1671   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1672 
1673   if (!mat->ops->multtranspose) SETERRQ(PETSC_ERR_SUP,"This matrix type does not have a multiply tranpose defined");
1674   ierr = PetscLogEventBegin(MAT_MultTranspose,mat,x,y,0);CHKERRQ(ierr);
1675   ierr = (*mat->ops->multtranspose)(mat,x,y);CHKERRQ(ierr);
1676   ierr = PetscLogEventEnd(MAT_MultTranspose,mat,x,y,0);CHKERRQ(ierr);
1677   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1678   PetscFunctionReturn(0);
1679 }
1680 
1681 #undef __FUNCT__
1682 #define __FUNCT__ "MatMultAdd"
1683 /*@
1684     MatMultAdd -  Computes v3 = v2 + A * v1.
1685 
1686     Collective on Mat and Vec
1687 
1688     Input Parameters:
1689 +   mat - the matrix
1690 -   v1, v2 - the vectors
1691 
1692     Output Parameters:
1693 .   v3 - the result
1694 
1695     Notes:
1696     The vectors v1 and v3 cannot be the same.  I.e., one cannot
1697     call MatMultAdd(A,v1,v2,v1).
1698 
1699     Level: beginner
1700 
1701     Concepts: matrix vector product^addition
1702 
1703 .seealso: MatMultTranspose(), MatMult(), MatMultTransposeAdd()
1704 @*/
1705 PetscErrorCode PETSCMAT_DLLEXPORT MatMultAdd(Mat mat,Vec v1,Vec v2,Vec v3)
1706 {
1707   PetscErrorCode ierr;
1708 
1709   PetscFunctionBegin;
1710   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1711   PetscValidType(mat,1);
1712   PetscValidHeaderSpecific(v1,VEC_COOKIE,2);
1713   PetscValidHeaderSpecific(v2,VEC_COOKIE,3);
1714   PetscValidHeaderSpecific(v3,VEC_COOKIE,4);
1715 
1716   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1717   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1718   if (mat->N != v1->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v1: global dim %D %D",mat->N,v1->N);
1719   if (mat->M != v2->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v2: global dim %D %D",mat->M,v2->N);
1720   if (mat->M != v3->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v3: global dim %D %D",mat->M,v3->N);
1721   if (mat->m != v3->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v3: local dim %D %D",mat->m,v3->n);
1722   if (mat->m != v2->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v2: local dim %D %D",mat->m,v2->n);
1723   if (v1 == v3) SETERRQ(PETSC_ERR_ARG_IDN,"v1 and v3 must be different vectors");
1724   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1725 
1726   ierr = PetscLogEventBegin(MAT_MultAdd,mat,v1,v2,v3);CHKERRQ(ierr);
1727   ierr = (*mat->ops->multadd)(mat,v1,v2,v3);CHKERRQ(ierr);
1728   ierr = PetscLogEventEnd(MAT_MultAdd,mat,v1,v2,v3);CHKERRQ(ierr);
1729   ierr = PetscObjectStateIncrease((PetscObject)v3);CHKERRQ(ierr);
1730   PetscFunctionReturn(0);
1731 }
1732 
1733 #undef __FUNCT__
1734 #define __FUNCT__ "MatMultTransposeAdd"
1735 /*@
1736    MatMultTransposeAdd - Computes v3 = v2 + A' * v1.
1737 
1738    Collective on Mat and Vec
1739 
1740    Input Parameters:
1741 +  mat - the matrix
1742 -  v1, v2 - the vectors
1743 
1744    Output Parameters:
1745 .  v3 - the result
1746 
1747    Notes:
1748    The vectors v1 and v3 cannot be the same.  I.e., one cannot
1749    call MatMultTransposeAdd(A,v1,v2,v1).
1750 
1751    Level: beginner
1752 
1753    Concepts: matrix vector product^transpose and addition
1754 
1755 .seealso: MatMultTranspose(), MatMultAdd(), MatMult()
1756 @*/
1757 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeAdd(Mat mat,Vec v1,Vec v2,Vec v3)
1758 {
1759   PetscErrorCode ierr;
1760 
1761   PetscFunctionBegin;
1762   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1763   PetscValidType(mat,1);
1764   PetscValidHeaderSpecific(v1,VEC_COOKIE,2);
1765   PetscValidHeaderSpecific(v2,VEC_COOKIE,3);
1766   PetscValidHeaderSpecific(v3,VEC_COOKIE,4);
1767 
1768   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1769   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1770   if (!mat->ops->multtransposeadd) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
1771   if (v1 == v3) SETERRQ(PETSC_ERR_ARG_IDN,"v1 and v3 must be different vectors");
1772   if (mat->M != v1->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v1: global dim %D %D",mat->M,v1->N);
1773   if (mat->N != v2->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v2: global dim %D %D",mat->N,v2->N);
1774   if (mat->N != v3->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec v3: global dim %D %D",mat->N,v3->N);
1775   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1776 
1777   ierr = PetscLogEventBegin(MAT_MultTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
1778   ierr = (*mat->ops->multtransposeadd)(mat,v1,v2,v3);CHKERRQ(ierr);
1779   ierr = PetscLogEventEnd(MAT_MultTransposeAdd,mat,v1,v2,v3);CHKERRQ(ierr);
1780   ierr = PetscObjectStateIncrease((PetscObject)v3);CHKERRQ(ierr);
1781   PetscFunctionReturn(0);
1782 }
1783 
1784 #undef __FUNCT__
1785 #define __FUNCT__ "MatMultConstrained"
1786 /*@
1787    MatMultConstrained - The inner multiplication routine for a
1788    constrained matrix P^T A P.
1789 
1790    Collective on Mat and Vec
1791 
1792    Input Parameters:
1793 +  mat - the matrix
1794 -  x   - the vector to be multilplied
1795 
1796    Output Parameters:
1797 .  y - the result
1798 
1799    Notes:
1800    The vectors x and y cannot be the same.  I.e., one cannot
1801    call MatMult(A,y,y).
1802 
1803    Level: beginner
1804 
1805 .keywords: matrix, multiply, matrix-vector product, constraint
1806 .seealso: MatMult(), MatMultTrans(), MatMultAdd(), MatMultTransAdd()
1807 @*/
1808 PetscErrorCode PETSCMAT_DLLEXPORT MatMultConstrained(Mat mat,Vec x,Vec y)
1809 {
1810   PetscErrorCode ierr;
1811 
1812   PetscFunctionBegin;
1813   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1814   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1815   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1816   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1817   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1818   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1819   if (mat->N != x->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->N,x->N);
1820   if (mat->M != y->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->M,y->N);
1821   if (mat->m != y->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: local dim %D %D",mat->m,y->n);
1822 
1823   ierr = PetscLogEventBegin(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
1824   ierr = (*mat->ops->multconstrained)(mat,x,y);CHKERRQ(ierr);
1825   ierr = PetscLogEventEnd(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
1826   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1827 
1828   PetscFunctionReturn(0);
1829 }
1830 
1831 #undef __FUNCT__
1832 #define __FUNCT__ "MatMultTransposeConstrained"
1833 /*@
1834    MatMultTransposeConstrained - The inner multiplication routine for a
1835    constrained matrix P^T A^T P.
1836 
1837    Collective on Mat and Vec
1838 
1839    Input Parameters:
1840 +  mat - the matrix
1841 -  x   - the vector to be multilplied
1842 
1843    Output Parameters:
1844 .  y - the result
1845 
1846    Notes:
1847    The vectors x and y cannot be the same.  I.e., one cannot
1848    call MatMult(A,y,y).
1849 
1850    Level: beginner
1851 
1852 .keywords: matrix, multiply, matrix-vector product, constraint
1853 .seealso: MatMult(), MatMultTrans(), MatMultAdd(), MatMultTransAdd()
1854 @*/
1855 PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeConstrained(Mat mat,Vec x,Vec y)
1856 {
1857   PetscErrorCode ierr;
1858 
1859   PetscFunctionBegin;
1860   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1861   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
1862   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
1863   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
1864   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
1865   if (x == y) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"x and y must be different vectors");
1866   if (mat->M != x->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->N,x->N);
1867   if (mat->N != y->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->M,y->N);
1868 
1869   ierr = PetscLogEventBegin(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
1870   ierr = (*mat->ops->multtransposeconstrained)(mat,x,y);CHKERRQ(ierr);
1871   ierr = PetscLogEventEnd(MAT_MultConstrained,mat,x,y,0);CHKERRQ(ierr);
1872   ierr = PetscObjectStateIncrease((PetscObject)y);CHKERRQ(ierr);
1873 
1874   PetscFunctionReturn(0);
1875 }
1876 /* ------------------------------------------------------------*/
1877 #undef __FUNCT__
1878 #define __FUNCT__ "MatGetInfo"
1879 /*@
1880    MatGetInfo - Returns information about matrix storage (number of
1881    nonzeros, memory, etc.).
1882 
1883    Collective on Mat if MAT_GLOBAL_MAX or MAT_GLOBAL_SUM is used
1884    as the flag
1885 
1886    Input Parameters:
1887 .  mat - the matrix
1888 
1889    Output Parameters:
1890 +  flag - flag indicating the type of parameters to be returned
1891    (MAT_LOCAL - local matrix, MAT_GLOBAL_MAX - maximum over all processors,
1892    MAT_GLOBAL_SUM - sum over all processors)
1893 -  info - matrix information context
1894 
1895    Notes:
1896    The MatInfo context contains a variety of matrix data, including
1897    number of nonzeros allocated and used, number of mallocs during
1898    matrix assembly, etc.  Additional information for factored matrices
1899    is provided (such as the fill ratio, number of mallocs during
1900    factorization, etc.).  Much of this info is printed to STDOUT
1901    when using the runtime options
1902 $       -info -mat_view_info
1903 
1904    Example for C/C++ Users:
1905    See the file ${PETSC_DIR}/include/petscmat.h for a complete list of
1906    data within the MatInfo context.  For example,
1907 .vb
1908       MatInfo info;
1909       Mat     A;
1910       double  mal, nz_a, nz_u;
1911 
1912       MatGetInfo(A,MAT_LOCAL,&info);
1913       mal  = info.mallocs;
1914       nz_a = info.nz_allocated;
1915 .ve
1916 
1917    Example for Fortran Users:
1918    Fortran users should declare info as a double precision
1919    array of dimension MAT_INFO_SIZE, and then extract the parameters
1920    of interest.  See the file ${PETSC_DIR}/include/finclude/petscmat.h
1921    a complete list of parameter names.
1922 .vb
1923       double  precision info(MAT_INFO_SIZE)
1924       double  precision mal, nz_a
1925       Mat     A
1926       integer ierr
1927 
1928       call MatGetInfo(A,MAT_LOCAL,info,ierr)
1929       mal = info(MAT_INFO_MALLOCS)
1930       nz_a = info(MAT_INFO_NZ_ALLOCATED)
1931 .ve
1932 
1933     Level: intermediate
1934 
1935     Concepts: matrices^getting information on
1936 
1937 @*/
1938 PetscErrorCode PETSCMAT_DLLEXPORT MatGetInfo(Mat mat,MatInfoType flag,MatInfo *info)
1939 {
1940   PetscErrorCode ierr;
1941 
1942   PetscFunctionBegin;
1943   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1944   PetscValidType(mat,1);
1945   PetscValidPointer(info,3);
1946   if (!mat->ops->getinfo) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
1947   ierr = MatPreallocated(mat);CHKERRQ(ierr);
1948   ierr = (*mat->ops->getinfo)(mat,flag,info);CHKERRQ(ierr);
1949   PetscFunctionReturn(0);
1950 }
1951 
1952 /* ----------------------------------------------------------*/
1953 #undef __FUNCT__
1954 #define __FUNCT__ "MatILUDTFactor"
1955 /*@C
1956    MatILUDTFactor - Performs a drop tolerance ILU factorization.
1957 
1958    Collective on Mat
1959 
1960    Input Parameters:
1961 +  mat - the matrix
1962 .  row - row permutation
1963 .  col - column permutation
1964 -  info - information about the factorization to be done
1965 
1966    Output Parameters:
1967 .  fact - the factored matrix
1968 
1969    Level: developer
1970 
1971    Notes:
1972    Most users should employ the simplified KSP interface for linear solvers
1973    instead of working directly with matrix algebra routines such as this.
1974    See, e.g., KSPCreate().
1975 
1976    This is currently only supported for the SeqAIJ matrix format using code
1977    from Yousef Saad's SPARSEKIT2  package (translated to C with f2c) and/or
1978    Matlab. SPARSEKIT2 is copyrighted by Yousef Saad with the GNU copyright
1979    and thus can be distributed with PETSc.
1980 
1981     Concepts: matrices^ILUDT factorization
1982 
1983 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
1984 @*/
1985 PetscErrorCode PETSCMAT_DLLEXPORT MatILUDTFactor(Mat mat,IS row,IS col,MatFactorInfo *info,Mat *fact)
1986 {
1987   PetscErrorCode ierr;
1988 
1989   PetscFunctionBegin;
1990   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
1991   PetscValidType(mat,1);
1992   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
1993   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
1994   PetscValidPointer(info,4);
1995   PetscValidPointer(fact,5);
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 (!mat->ops->iludtfactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
1999   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2000   ierr = PetscLogEventBegin(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2001   ierr = (*mat->ops->iludtfactor)(mat,row,col,info,fact);CHKERRQ(ierr);
2002   ierr = PetscLogEventEnd(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2003   ierr = PetscObjectStateIncrease((PetscObject)*fact);CHKERRQ(ierr);
2004 
2005   PetscFunctionReturn(0);
2006 }
2007 
2008 #undef __FUNCT__
2009 #define __FUNCT__ "MatLUFactor"
2010 /*@
2011    MatLUFactor - Performs in-place LU factorization of matrix.
2012 
2013    Collective on Mat
2014 
2015    Input Parameters:
2016 +  mat - the matrix
2017 .  row - row permutation
2018 .  col - column permutation
2019 -  info - options for factorization, includes
2020 $          fill - expected fill as ratio of original fill.
2021 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2022 $                   Run with the option -info to determine an optimal value to use
2023 
2024    Notes:
2025    Most users should employ the simplified KSP interface for linear solvers
2026    instead of working directly with matrix algebra routines such as this.
2027    See, e.g., KSPCreate().
2028 
2029    This changes the state of the matrix to a factored matrix; it cannot be used
2030    for example with MatSetValues() unless one first calls MatSetUnfactored().
2031 
2032    Level: developer
2033 
2034    Concepts: matrices^LU factorization
2035 
2036 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(),
2037           MatGetOrdering(), MatSetUnfactored(), MatFactorInfo
2038 
2039 @*/
2040 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactor(Mat mat,IS row,IS col,MatFactorInfo *info)
2041 {
2042   PetscErrorCode ierr;
2043 
2044   PetscFunctionBegin;
2045   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2046   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2047   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2048   PetscValidPointer(info,4);
2049   PetscValidType(mat,1);
2050   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2051   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2052   if (!mat->ops->lufactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
2053   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2054 
2055   ierr = PetscLogEventBegin(MAT_LUFactor,mat,row,col,0);CHKERRQ(ierr);
2056   ierr = (*mat->ops->lufactor)(mat,row,col,info);CHKERRQ(ierr);
2057   ierr = PetscLogEventEnd(MAT_LUFactor,mat,row,col,0);CHKERRQ(ierr);
2058   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2059   PetscFunctionReturn(0);
2060 }
2061 
2062 #undef __FUNCT__
2063 #define __FUNCT__ "MatILUFactor"
2064 /*@
2065    MatILUFactor - Performs in-place ILU factorization of matrix.
2066 
2067    Collective on Mat
2068 
2069    Input Parameters:
2070 +  mat - the matrix
2071 .  row - row permutation
2072 .  col - column permutation
2073 -  info - structure containing
2074 $      levels - number of levels of fill.
2075 $      expected fill - as ratio of original fill.
2076 $      1 or 0 - indicating force fill on diagonal (improves robustness for matrices
2077                 missing diagonal entries)
2078 
2079    Notes:
2080    Probably really in-place only when level of fill is zero, otherwise allocates
2081    new space to store factored matrix and deletes previous memory.
2082 
2083    Most users should employ the simplified KSP interface for linear solvers
2084    instead of working directly with matrix algebra routines such as this.
2085    See, e.g., KSPCreate().
2086 
2087    Level: developer
2088 
2089    Concepts: matrices^ILU factorization
2090 
2091 .seealso: MatILUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
2092 @*/
2093 PetscErrorCode PETSCMAT_DLLEXPORT MatILUFactor(Mat mat,IS row,IS col,MatFactorInfo *info)
2094 {
2095   PetscErrorCode ierr;
2096 
2097   PetscFunctionBegin;
2098   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2099   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2100   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2101   PetscValidPointer(info,4);
2102   PetscValidType(mat,1);
2103   if (mat->M != mat->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
2104   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2105   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2106   if (!mat->ops->ilufactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
2107   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2108 
2109   ierr = PetscLogEventBegin(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2110   ierr = (*mat->ops->ilufactor)(mat,row,col,info);CHKERRQ(ierr);
2111   ierr = PetscLogEventEnd(MAT_ILUFactor,mat,row,col,0);CHKERRQ(ierr);
2112   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2113   PetscFunctionReturn(0);
2114 }
2115 
2116 #undef __FUNCT__
2117 #define __FUNCT__ "MatLUFactorSymbolic"
2118 /*@
2119    MatLUFactorSymbolic - Performs symbolic LU factorization of matrix.
2120    Call this routine before calling MatLUFactorNumeric().
2121 
2122    Collective on Mat
2123 
2124    Input Parameters:
2125 +  mat - the matrix
2126 .  row, col - row and column permutations
2127 -  info - options for factorization, includes
2128 $          fill - expected fill as ratio of original fill.
2129 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2130 $                   Run with the option -info to determine an optimal value to use
2131 
2132    Output Parameter:
2133 .  fact - new matrix that has been symbolically factored
2134 
2135    Notes:
2136    See the users manual for additional information about
2137    choosing the fill factor for better efficiency.
2138 
2139    Most users should employ the simplified KSP interface for linear solvers
2140    instead of working directly with matrix algebra routines such as this.
2141    See, e.g., KSPCreate().
2142 
2143    Level: developer
2144 
2145    Concepts: matrices^LU symbolic factorization
2146 
2147 .seealso: MatLUFactor(), MatLUFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
2148 @*/
2149 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactorSymbolic(Mat mat,IS row,IS col,MatFactorInfo *info,Mat *fact)
2150 {
2151   PetscErrorCode ierr;
2152 
2153   PetscFunctionBegin;
2154   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2155   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
2156   if (col) PetscValidHeaderSpecific(col,IS_COOKIE,3);
2157   PetscValidPointer(info,4);
2158   PetscValidType(mat,1);
2159   PetscValidPointer(fact,5);
2160   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2161   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2162   if (!mat->ops->lufactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic LU",mat->type_name);
2163   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2164 
2165   ierr = PetscLogEventBegin(MAT_LUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
2166   ierr = (*mat->ops->lufactorsymbolic)(mat,row,col,info,fact);CHKERRQ(ierr);
2167   ierr = PetscLogEventEnd(MAT_LUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
2168   ierr = PetscObjectStateIncrease((PetscObject)*fact);CHKERRQ(ierr);
2169   PetscFunctionReturn(0);
2170 }
2171 
2172 #undef __FUNCT__
2173 #define __FUNCT__ "MatLUFactorNumeric"
2174 /*@
2175    MatLUFactorNumeric - Performs numeric LU factorization of a matrix.
2176    Call this routine after first calling MatLUFactorSymbolic().
2177 
2178    Collective on Mat
2179 
2180    Input Parameters:
2181 +  mat - the matrix
2182 .  info - options for factorization
2183 -  fact - the matrix generated for the factor, from MatLUFactorSymbolic()
2184 
2185    Notes:
2186    See MatLUFactor() for in-place factorization.  See
2187    MatCholeskyFactorNumeric() for the symmetric, positive definite case.
2188 
2189    Most users should employ the simplified KSP interface for linear solvers
2190    instead of working directly with matrix algebra routines such as this.
2191    See, e.g., KSPCreate().
2192 
2193    Level: developer
2194 
2195    Concepts: matrices^LU numeric factorization
2196 
2197 .seealso: MatLUFactorSymbolic(), MatLUFactor(), MatCholeskyFactor()
2198 @*/
2199 PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactorNumeric(Mat mat,MatFactorInfo *info,Mat *fact)
2200 {
2201   PetscErrorCode ierr;
2202 
2203   PetscFunctionBegin;
2204   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2205   PetscValidType(mat,1);
2206   PetscValidPointer(fact,2);
2207   PetscValidHeaderSpecific(*fact,MAT_COOKIE,2);
2208   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2209   if (mat->M != (*fact)->M || mat->N != (*fact)->N) {
2210     SETERRQ4(PETSC_ERR_ARG_SIZ,"Mat mat,Mat *fact: global dimensions are different %D should = %D %D should = %D",mat->M,(*fact)->M,mat->N,(*fact)->N);
2211   }
2212   if (!(*fact)->ops->lufactornumeric) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
2213   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2214   ierr = PetscLogEventBegin(MAT_LUFactorNumeric,mat,*fact,0,0);CHKERRQ(ierr);
2215   ierr = (*(*fact)->ops->lufactornumeric)(mat,info,fact);CHKERRQ(ierr);
2216   ierr = PetscLogEventEnd(MAT_LUFactorNumeric,mat,*fact,0,0);CHKERRQ(ierr);
2217 
2218   ierr = MatView_Private(*fact);CHKERRQ(ierr);
2219   ierr = PetscObjectStateIncrease((PetscObject)*fact);CHKERRQ(ierr);
2220   PetscFunctionReturn(0);
2221 }
2222 
2223 #undef __FUNCT__
2224 #define __FUNCT__ "MatCholeskyFactor"
2225 /*@
2226    MatCholeskyFactor - Performs in-place Cholesky factorization of a
2227    symmetric matrix.
2228 
2229    Collective on Mat
2230 
2231    Input Parameters:
2232 +  mat - the matrix
2233 .  perm - row and column permutations
2234 -  f - expected fill as ratio of original fill
2235 
2236    Notes:
2237    See MatLUFactor() for the nonsymmetric case.  See also
2238    MatCholeskyFactorSymbolic(), and MatCholeskyFactorNumeric().
2239 
2240    Most users should employ the simplified KSP interface for linear solvers
2241    instead of working directly with matrix algebra routines such as this.
2242    See, e.g., KSPCreate().
2243 
2244    Level: developer
2245 
2246    Concepts: matrices^Cholesky factorization
2247 
2248 .seealso: MatLUFactor(), MatCholeskyFactorSymbolic(), MatCholeskyFactorNumeric()
2249           MatGetOrdering()
2250 
2251 @*/
2252 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactor(Mat mat,IS perm,MatFactorInfo *info)
2253 {
2254   PetscErrorCode ierr;
2255 
2256   PetscFunctionBegin;
2257   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2258   PetscValidType(mat,1);
2259   PetscValidHeaderSpecific(perm,IS_COOKIE,2);
2260   PetscValidPointer(info,3);
2261   if (mat->M != mat->N) SETERRQ(PETSC_ERR_ARG_WRONG,"Matrix must be square");
2262   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2263   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2264   if (!mat->ops->choleskyfactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
2265   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2266 
2267   ierr = PetscLogEventBegin(MAT_CholeskyFactor,mat,perm,0,0);CHKERRQ(ierr);
2268   ierr = (*mat->ops->choleskyfactor)(mat,perm,info);CHKERRQ(ierr);
2269   ierr = PetscLogEventEnd(MAT_CholeskyFactor,mat,perm,0,0);CHKERRQ(ierr);
2270   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
2271   PetscFunctionReturn(0);
2272 }
2273 
2274 #undef __FUNCT__
2275 #define __FUNCT__ "MatCholeskyFactorSymbolic"
2276 /*@
2277    MatCholeskyFactorSymbolic - Performs symbolic Cholesky factorization
2278    of a symmetric matrix.
2279 
2280    Collective on Mat
2281 
2282    Input Parameters:
2283 +  mat - the matrix
2284 .  perm - row and column permutations
2285 -  info - options for factorization, includes
2286 $          fill - expected fill as ratio of original fill.
2287 $          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
2288 $                   Run with the option -info to determine an optimal value to use
2289 
2290    Output Parameter:
2291 .  fact - the factored matrix
2292 
2293    Notes:
2294    See MatLUFactorSymbolic() for the nonsymmetric case.  See also
2295    MatCholeskyFactor() and MatCholeskyFactorNumeric().
2296 
2297    Most users should employ the simplified KSP interface for linear solvers
2298    instead of working directly with matrix algebra routines such as this.
2299    See, e.g., KSPCreate().
2300 
2301    Level: developer
2302 
2303    Concepts: matrices^Cholesky symbolic factorization
2304 
2305 .seealso: MatLUFactorSymbolic(), MatCholeskyFactor(), MatCholeskyFactorNumeric()
2306           MatGetOrdering()
2307 
2308 @*/
2309 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactorSymbolic(Mat mat,IS perm,MatFactorInfo *info,Mat *fact)
2310 {
2311   PetscErrorCode ierr;
2312 
2313   PetscFunctionBegin;
2314   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2315   PetscValidType(mat,1);
2316   if (perm) PetscValidHeaderSpecific(perm,IS_COOKIE,2);
2317   PetscValidPointer(info,3);
2318   PetscValidPointer(fact,4);
2319   if (mat->M != mat->N) SETERRQ(PETSC_ERR_ARG_WRONG,"Matrix must be square");
2320   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2321   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2322   if (!mat->ops->choleskyfactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
2323   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2324 
2325   ierr = PetscLogEventBegin(MAT_CholeskyFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
2326   ierr = (*mat->ops->choleskyfactorsymbolic)(mat,perm,info,fact);CHKERRQ(ierr);
2327   ierr = PetscLogEventEnd(MAT_CholeskyFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
2328   ierr = PetscObjectStateIncrease((PetscObject)*fact);CHKERRQ(ierr);
2329   PetscFunctionReturn(0);
2330 }
2331 
2332 #undef __FUNCT__
2333 #define __FUNCT__ "MatCholeskyFactorNumeric"
2334 /*@
2335    MatCholeskyFactorNumeric - Performs numeric Cholesky factorization
2336    of a symmetric matrix. Call this routine after first calling
2337    MatCholeskyFactorSymbolic().
2338 
2339    Collective on Mat
2340 
2341    Input Parameter:
2342 .  mat - the initial matrix
2343 .  info - options for factorization
2344 -  fact - the symbolic factor of mat
2345 
2346    Output Parameter:
2347 .  fact - the factored matrix
2348 
2349    Notes:
2350    Most users should employ the simplified KSP interface for linear solvers
2351    instead of working directly with matrix algebra routines such as this.
2352    See, e.g., KSPCreate().
2353 
2354    Level: developer
2355 
2356    Concepts: matrices^Cholesky numeric factorization
2357 
2358 .seealso: MatCholeskyFactorSymbolic(), MatCholeskyFactor(), MatLUFactorNumeric()
2359 @*/
2360 PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactorNumeric(Mat mat,MatFactorInfo *info,Mat *fact)
2361 {
2362   PetscErrorCode ierr;
2363 
2364   PetscFunctionBegin;
2365   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2366   PetscValidType(mat,1);
2367   PetscValidPointer(fact,2);
2368   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2369   if (!(*fact)->ops->choleskyfactornumeric) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
2370   if (mat->M != (*fact)->M || mat->N != (*fact)->N) {
2371     SETERRQ4(PETSC_ERR_ARG_SIZ,"Mat mat,Mat *fact: global dim %D should = %D %D should = %D",mat->M,(*fact)->M,mat->N,(*fact)->N);
2372   }
2373   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2374 
2375   ierr = PetscLogEventBegin(MAT_CholeskyFactorNumeric,mat,*fact,0,0);CHKERRQ(ierr);
2376   ierr = (*(*fact)->ops->choleskyfactornumeric)(mat,info,fact);CHKERRQ(ierr);
2377   ierr = PetscLogEventEnd(MAT_CholeskyFactorNumeric,mat,*fact,0,0);CHKERRQ(ierr);
2378   ierr = PetscObjectStateIncrease((PetscObject)*fact);CHKERRQ(ierr);
2379   PetscFunctionReturn(0);
2380 }
2381 
2382 /* ----------------------------------------------------------------*/
2383 #undef __FUNCT__
2384 #define __FUNCT__ "MatSolve"
2385 /*@
2386    MatSolve - Solves A x = b, given a factored matrix.
2387 
2388    Collective on Mat and Vec
2389 
2390    Input Parameters:
2391 +  mat - the factored matrix
2392 -  b - the right-hand-side vector
2393 
2394    Output Parameter:
2395 .  x - the result vector
2396 
2397    Notes:
2398    The vectors b and x cannot be the same.  I.e., one cannot
2399    call MatSolve(A,x,x).
2400 
2401    Notes:
2402    Most users should employ the simplified KSP interface for linear solvers
2403    instead of working directly with matrix algebra routines such as this.
2404    See, e.g., KSPCreate().
2405 
2406    Level: developer
2407 
2408    Concepts: matrices^triangular solves
2409 
2410 .seealso: MatSolveAdd(), MatSolveTranspose(), MatSolveTransposeAdd()
2411 @*/
2412 PetscErrorCode PETSCMAT_DLLEXPORT MatSolve(Mat mat,Vec b,Vec x)
2413 {
2414   PetscErrorCode ierr;
2415 
2416   PetscFunctionBegin;
2417   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2418   PetscValidType(mat,1);
2419   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2420   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2421   PetscCheckSameComm(mat,1,b,2);
2422   PetscCheckSameComm(mat,1,x,3);
2423   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2424   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2425   if (mat->N != x->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->N,x->N);
2426   if (mat->M != b->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->M,b->N);
2427   if (mat->m != b->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->m,b->n);
2428   if (!mat->M && !mat->N) PetscFunctionReturn(0);
2429   if (!mat->ops->solve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
2430   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2431 
2432   ierr = PetscLogEventBegin(MAT_Solve,mat,b,x,0);CHKERRQ(ierr);
2433   ierr = (*mat->ops->solve)(mat,b,x);CHKERRQ(ierr);
2434   ierr = PetscLogEventEnd(MAT_Solve,mat,b,x,0);CHKERRQ(ierr);
2435   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2436   PetscFunctionReturn(0);
2437 }
2438 
2439 #undef __FUNCT__
2440 #define __FUNCT__ "MatMatSolve"
2441 /*@
2442    MatMatSolve - Solves A X = B, given a factored matrix.
2443 
2444    Collective on Mat
2445 
2446    Input Parameters:
2447 +  mat - the factored matrix
2448 -  b - the right-hand-side vector
2449 
2450    Output Parameter:
2451 .  x - the result vector
2452 
2453    Notes:
2454    The vectors b and x cannot be the same.  I.e., one cannot
2455    call MatMatSolve(A,x,x).
2456 
2457    Notes:
2458    Most users should employ the simplified KSP interface for linear solvers
2459    instead of working directly with matrix algebra routines such as this.
2460    See, e.g., KSPCreate().
2461 
2462    Level: developer
2463 
2464    Concepts: matrices^triangular solves
2465 
2466 .seealso: MatMatSolveAdd(), MatMatSolveTranspose(), MatMatSolveTransposeAdd()
2467 @*/
2468 PetscErrorCode PETSCMAT_DLLEXPORT MatMatSolve(Mat A,Mat B,Mat X)
2469 {
2470   PetscErrorCode ierr;
2471 
2472   PetscFunctionBegin;
2473   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
2474   PetscValidType(A,1);
2475   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
2476   PetscValidHeaderSpecific(X,MAT_COOKIE,3);
2477   PetscCheckSameComm(A,1,B,2);
2478   PetscCheckSameComm(A,1,X,3);
2479   if (X == B) SETERRQ(PETSC_ERR_ARG_IDN,"X and B must be different matrices");
2480   if (!A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2481   if (A->N != X->M) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat A,Mat X: global dim %D %D",A->N,X->M);
2482   if (A->M != B->M) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat A,Mat B: global dim %D %D",A->M,B->M);
2483   if (A->m != B->m) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat A,Mat B: local dim %D %D",A->m,B->m);
2484   if (!A->M && !A->N) PetscFunctionReturn(0);
2485   if (!A->ops->matsolve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",A->type_name);
2486   ierr = MatPreallocated(A);CHKERRQ(ierr);
2487 
2488   ierr = PetscLogEventBegin(MAT_MatSolve,A,B,X,0);CHKERRQ(ierr);
2489   ierr = (*A->ops->matsolve)(A,B,X);CHKERRQ(ierr);
2490   ierr = PetscLogEventEnd(MAT_MatSolve,A,B,X,0);CHKERRQ(ierr);
2491   ierr = PetscObjectStateIncrease((PetscObject)X);CHKERRQ(ierr);
2492   PetscFunctionReturn(0);
2493 }
2494 
2495 
2496 #undef __FUNCT__
2497 #define __FUNCT__ "MatForwardSolve"
2498 /* @
2499    MatForwardSolve - Solves L x = b, given a factored matrix, A = LU.
2500 
2501    Collective on Mat and Vec
2502 
2503    Input Parameters:
2504 +  mat - the factored matrix
2505 -  b - the right-hand-side vector
2506 
2507    Output Parameter:
2508 .  x - the result vector
2509 
2510    Notes:
2511    MatSolve() should be used for most applications, as it performs
2512    a forward solve followed by a backward solve.
2513 
2514    The vectors b and x cannot be the same.  I.e., one cannot
2515    call MatForwardSolve(A,x,x).
2516 
2517    Most users should employ the simplified KSP interface for linear solvers
2518    instead of working directly with matrix algebra routines such as this.
2519    See, e.g., KSPCreate().
2520 
2521    Level: developer
2522 
2523    Concepts: matrices^forward solves
2524 
2525 .seealso: MatSolve(), MatBackwardSolve()
2526 @ */
2527 PetscErrorCode PETSCMAT_DLLEXPORT MatForwardSolve(Mat mat,Vec b,Vec x)
2528 {
2529   PetscErrorCode ierr;
2530 
2531   PetscFunctionBegin;
2532   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2533   PetscValidType(mat,1);
2534   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2535   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2536   PetscCheckSameComm(mat,1,b,2);
2537   PetscCheckSameComm(mat,1,x,3);
2538   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2539   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2540   if (!mat->ops->forwardsolve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
2541   if (mat->N != x->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->N,x->N);
2542   if (mat->M != b->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->M,b->N);
2543   if (mat->m != b->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->m,b->n);
2544   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2545   ierr = PetscLogEventBegin(MAT_ForwardSolve,mat,b,x,0);CHKERRQ(ierr);
2546   ierr = (*mat->ops->forwardsolve)(mat,b,x);CHKERRQ(ierr);
2547   ierr = PetscLogEventEnd(MAT_ForwardSolve,mat,b,x,0);CHKERRQ(ierr);
2548   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2549   PetscFunctionReturn(0);
2550 }
2551 
2552 #undef __FUNCT__
2553 #define __FUNCT__ "MatBackwardSolve"
2554 /* @
2555    MatBackwardSolve - Solves U x = b, given a factored matrix, A = LU.
2556 
2557    Collective on Mat and Vec
2558 
2559    Input Parameters:
2560 +  mat - the factored matrix
2561 -  b - the right-hand-side vector
2562 
2563    Output Parameter:
2564 .  x - the result vector
2565 
2566    Notes:
2567    MatSolve() should be used for most applications, as it performs
2568    a forward solve followed by a backward solve.
2569 
2570    The vectors b and x cannot be the same.  I.e., one cannot
2571    call MatBackwardSolve(A,x,x).
2572 
2573    Most users should employ the simplified KSP interface for linear solvers
2574    instead of working directly with matrix algebra routines such as this.
2575    See, e.g., KSPCreate().
2576 
2577    Level: developer
2578 
2579    Concepts: matrices^backward solves
2580 
2581 .seealso: MatSolve(), MatForwardSolve()
2582 @ */
2583 PetscErrorCode PETSCMAT_DLLEXPORT MatBackwardSolve(Mat mat,Vec b,Vec x)
2584 {
2585   PetscErrorCode ierr;
2586 
2587   PetscFunctionBegin;
2588   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2589   PetscValidType(mat,1);
2590   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2591   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2592   PetscCheckSameComm(mat,1,b,2);
2593   PetscCheckSameComm(mat,1,x,3);
2594   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2595   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2596   if (!mat->ops->backwardsolve) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
2597   if (mat->N != x->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->N,x->N);
2598   if (mat->M != b->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->M,b->N);
2599   if (mat->m != b->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->m,b->n);
2600   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2601 
2602   ierr = PetscLogEventBegin(MAT_BackwardSolve,mat,b,x,0);CHKERRQ(ierr);
2603   ierr = (*mat->ops->backwardsolve)(mat,b,x);CHKERRQ(ierr);
2604   ierr = PetscLogEventEnd(MAT_BackwardSolve,mat,b,x,0);CHKERRQ(ierr);
2605   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2606   PetscFunctionReturn(0);
2607 }
2608 
2609 #undef __FUNCT__
2610 #define __FUNCT__ "MatSolveAdd"
2611 /*@
2612    MatSolveAdd - Computes x = y + inv(A)*b, given a factored matrix.
2613 
2614    Collective on Mat and Vec
2615 
2616    Input Parameters:
2617 +  mat - the factored matrix
2618 .  b - the right-hand-side vector
2619 -  y - the vector to be added to
2620 
2621    Output Parameter:
2622 .  x - the result vector
2623 
2624    Notes:
2625    The vectors b and x cannot be the same.  I.e., one cannot
2626    call MatSolveAdd(A,x,y,x).
2627 
2628    Most users should employ the simplified KSP interface for linear solvers
2629    instead of working directly with matrix algebra routines such as this.
2630    See, e.g., KSPCreate().
2631 
2632    Level: developer
2633 
2634    Concepts: matrices^triangular solves
2635 
2636 .seealso: MatSolve(), MatSolveTranspose(), MatSolveTransposeAdd()
2637 @*/
2638 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveAdd(Mat mat,Vec b,Vec y,Vec x)
2639 {
2640   PetscScalar    one = 1.0;
2641   Vec            tmp;
2642   PetscErrorCode ierr;
2643 
2644   PetscFunctionBegin;
2645   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2646   PetscValidType(mat,1);
2647   PetscValidHeaderSpecific(y,VEC_COOKIE,2);
2648   PetscValidHeaderSpecific(b,VEC_COOKIE,3);
2649   PetscValidHeaderSpecific(x,VEC_COOKIE,4);
2650   PetscCheckSameComm(mat,1,b,2);
2651   PetscCheckSameComm(mat,1,y,2);
2652   PetscCheckSameComm(mat,1,x,3);
2653   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2654   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2655   if (mat->N != x->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->N,x->N);
2656   if (mat->M != b->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->M,b->N);
2657   if (mat->M != y->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->M,y->N);
2658   if (mat->m != b->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->m,b->n);
2659   if (x->n != y->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Vec x,Vec y: local dim %D %D",x->n,y->n);
2660   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2661 
2662   ierr = PetscLogEventBegin(MAT_SolveAdd,mat,b,x,y);CHKERRQ(ierr);
2663   if (mat->ops->solveadd)  {
2664     ierr = (*mat->ops->solveadd)(mat,b,y,x);CHKERRQ(ierr);
2665   } else {
2666     /* do the solve then the add manually */
2667     if (x != y) {
2668       ierr = MatSolve(mat,b,x);CHKERRQ(ierr);
2669       ierr = VecAXPY(x,one,y);CHKERRQ(ierr);
2670     } else {
2671       ierr = VecDuplicate(x,&tmp);CHKERRQ(ierr);
2672       ierr = PetscLogObjectParent(mat,tmp);CHKERRQ(ierr);
2673       ierr = VecCopy(x,tmp);CHKERRQ(ierr);
2674       ierr = MatSolve(mat,b,x);CHKERRQ(ierr);
2675       ierr = VecAXPY(x,one,tmp);CHKERRQ(ierr);
2676       ierr = VecDestroy(tmp);CHKERRQ(ierr);
2677     }
2678   }
2679   ierr = PetscLogEventEnd(MAT_SolveAdd,mat,b,x,y);CHKERRQ(ierr);
2680   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2681   PetscFunctionReturn(0);
2682 }
2683 
2684 #undef __FUNCT__
2685 #define __FUNCT__ "MatSolveTranspose"
2686 /*@
2687    MatSolveTranspose - Solves A' x = b, given a factored matrix.
2688 
2689    Collective on Mat and Vec
2690 
2691    Input Parameters:
2692 +  mat - the factored matrix
2693 -  b - the right-hand-side vector
2694 
2695    Output Parameter:
2696 .  x - the result vector
2697 
2698    Notes:
2699    The vectors b and x cannot be the same.  I.e., one cannot
2700    call MatSolveTranspose(A,x,x).
2701 
2702    Most users should employ the simplified KSP interface for linear solvers
2703    instead of working directly with matrix algebra routines such as this.
2704    See, e.g., KSPCreate().
2705 
2706    Level: developer
2707 
2708    Concepts: matrices^triangular solves
2709 
2710 .seealso: MatSolve(), MatSolveAdd(), MatSolveTransposeAdd()
2711 @*/
2712 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveTranspose(Mat mat,Vec b,Vec x)
2713 {
2714   PetscErrorCode ierr;
2715 
2716   PetscFunctionBegin;
2717   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2718   PetscValidType(mat,1);
2719   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2720   PetscValidHeaderSpecific(x,VEC_COOKIE,3);
2721   PetscCheckSameComm(mat,1,b,2);
2722   PetscCheckSameComm(mat,1,x,3);
2723   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2724   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2725   if (!mat->ops->solvetranspose) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s",mat->type_name);
2726   if (mat->M != x->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->M,x->N);
2727   if (mat->N != b->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->N,b->N);
2728   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2729   ierr = PetscLogEventBegin(MAT_SolveTranspose,mat,b,x,0);CHKERRQ(ierr);
2730   ierr = (*mat->ops->solvetranspose)(mat,b,x);CHKERRQ(ierr);
2731   ierr = PetscLogEventEnd(MAT_SolveTranspose,mat,b,x,0);CHKERRQ(ierr);
2732   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2733   PetscFunctionReturn(0);
2734 }
2735 
2736 #undef __FUNCT__
2737 #define __FUNCT__ "MatSolveTransposeAdd"
2738 /*@
2739    MatSolveTransposeAdd - Computes x = y + inv(Transpose(A)) b, given a
2740                       factored matrix.
2741 
2742    Collective on Mat and Vec
2743 
2744    Input Parameters:
2745 +  mat - the factored matrix
2746 .  b - the right-hand-side vector
2747 -  y - the vector to be added to
2748 
2749    Output Parameter:
2750 .  x - the result vector
2751 
2752    Notes:
2753    The vectors b and x cannot be the same.  I.e., one cannot
2754    call MatSolveTransposeAdd(A,x,y,x).
2755 
2756    Most users should employ the simplified KSP interface for linear solvers
2757    instead of working directly with matrix algebra routines such as this.
2758    See, e.g., KSPCreate().
2759 
2760    Level: developer
2761 
2762    Concepts: matrices^triangular solves
2763 
2764 .seealso: MatSolve(), MatSolveAdd(), MatSolveTranspose()
2765 @*/
2766 PetscErrorCode PETSCMAT_DLLEXPORT MatSolveTransposeAdd(Mat mat,Vec b,Vec y,Vec x)
2767 {
2768   PetscScalar    one = 1.0;
2769   PetscErrorCode ierr;
2770   Vec            tmp;
2771 
2772   PetscFunctionBegin;
2773   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2774   PetscValidType(mat,1);
2775   PetscValidHeaderSpecific(y,VEC_COOKIE,2);
2776   PetscValidHeaderSpecific(b,VEC_COOKIE,3);
2777   PetscValidHeaderSpecific(x,VEC_COOKIE,4);
2778   PetscCheckSameComm(mat,1,b,2);
2779   PetscCheckSameComm(mat,1,y,3);
2780   PetscCheckSameComm(mat,1,x,4);
2781   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
2782   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
2783   if (mat->M != x->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->M,x->N);
2784   if (mat->N != b->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->N,b->N);
2785   if (mat->N != y->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec y: global dim %D %D",mat->N,y->N);
2786   if (x->n != y->n)   SETERRQ2(PETSC_ERR_ARG_SIZ,"Vec x,Vec y: local dim %D %D",x->n,y->n);
2787   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2788 
2789   ierr = PetscLogEventBegin(MAT_SolveTransposeAdd,mat,b,x,y);CHKERRQ(ierr);
2790   if (mat->ops->solvetransposeadd) {
2791     ierr = (*mat->ops->solvetransposeadd)(mat,b,y,x);CHKERRQ(ierr);
2792   } else {
2793     /* do the solve then the add manually */
2794     if (x != y) {
2795       ierr = MatSolveTranspose(mat,b,x);CHKERRQ(ierr);
2796       ierr = VecAXPY(x,one,y);CHKERRQ(ierr);
2797     } else {
2798       ierr = VecDuplicate(x,&tmp);CHKERRQ(ierr);
2799       ierr = PetscLogObjectParent(mat,tmp);CHKERRQ(ierr);
2800       ierr = VecCopy(x,tmp);CHKERRQ(ierr);
2801       ierr = MatSolveTranspose(mat,b,x);CHKERRQ(ierr);
2802       ierr = VecAXPY(x,one,tmp);CHKERRQ(ierr);
2803       ierr = VecDestroy(tmp);CHKERRQ(ierr);
2804     }
2805   }
2806   ierr = PetscLogEventEnd(MAT_SolveTransposeAdd,mat,b,x,y);CHKERRQ(ierr);
2807   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2808   PetscFunctionReturn(0);
2809 }
2810 /* ----------------------------------------------------------------*/
2811 
2812 #undef __FUNCT__
2813 #define __FUNCT__ "MatRelax"
2814 /*@
2815    MatRelax - Computes relaxation (SOR, Gauss-Seidel) sweeps.
2816 
2817    Collective on Mat and Vec
2818 
2819    Input Parameters:
2820 +  mat - the matrix
2821 .  b - the right hand side
2822 .  omega - the relaxation factor
2823 .  flag - flag indicating the type of SOR (see below)
2824 .  shift -  diagonal shift
2825 -  its - the number of iterations
2826 -  lits - the number of local iterations
2827 
2828    Output Parameters:
2829 .  x - the solution (can contain an initial guess)
2830 
2831    SOR Flags:
2832 .     SOR_FORWARD_SWEEP - forward SOR
2833 .     SOR_BACKWARD_SWEEP - backward SOR
2834 .     SOR_SYMMETRIC_SWEEP - SSOR (symmetric SOR)
2835 .     SOR_LOCAL_FORWARD_SWEEP - local forward SOR
2836 .     SOR_LOCAL_BACKWARD_SWEEP - local forward SOR
2837 .     SOR_LOCAL_SYMMETRIC_SWEEP - local SSOR
2838 .     SOR_APPLY_UPPER, SOR_APPLY_LOWER - applies
2839          upper/lower triangular part of matrix to
2840          vector (with omega)
2841 .     SOR_ZERO_INITIAL_GUESS - zero initial guess
2842 
2843    Notes:
2844    SOR_LOCAL_FORWARD_SWEEP, SOR_LOCAL_BACKWARD_SWEEP, and
2845    SOR_LOCAL_SYMMETRIC_SWEEP perform separate independent smoothings
2846    on each processor.
2847 
2848    Application programmers will not generally use MatRelax() directly,
2849    but instead will employ the KSP/PC interface.
2850 
2851    Notes for Advanced Users:
2852    The flags are implemented as bitwise inclusive or operations.
2853    For example, use (SOR_ZERO_INITIAL_GUESS | SOR_SYMMETRIC_SWEEP)
2854    to specify a zero initial guess for SSOR.
2855 
2856    Most users should employ the simplified KSP interface for linear solvers
2857    instead of working directly with matrix algebra routines such as this.
2858    See, e.g., KSPCreate().
2859 
2860    See also, MatPBRelax(). This routine will automatically call the point block
2861    version if the point version is not available.
2862 
2863    Level: developer
2864 
2865    Concepts: matrices^relaxation
2866    Concepts: matrices^SOR
2867    Concepts: matrices^Gauss-Seidel
2868 
2869 @*/
2870 PetscErrorCode PETSCMAT_DLLEXPORT MatRelax(Mat mat,Vec b,PetscReal omega,MatSORType flag,PetscReal shift,PetscInt its,PetscInt lits,Vec x)
2871 {
2872   PetscErrorCode ierr;
2873 
2874   PetscFunctionBegin;
2875   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2876   PetscValidType(mat,1);
2877   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2878   PetscValidHeaderSpecific(x,VEC_COOKIE,8);
2879   PetscCheckSameComm(mat,1,b,2);
2880   PetscCheckSameComm(mat,1,x,8);
2881   if (!mat->ops->relax && !mat->ops->pbrelax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
2882   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2883   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2884   if (mat->N != x->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->N,x->N);
2885   if (mat->M != b->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->M,b->N);
2886   if (mat->m != b->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->m,b->n);
2887   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2888   ierr = PetscLogEventBegin(MAT_Relax,mat,b,x,0);CHKERRQ(ierr);
2889   if (mat->ops->relax) {
2890     ierr =(*mat->ops->relax)(mat,b,omega,flag,shift,its,lits,x);CHKERRQ(ierr);
2891   } else {
2892     ierr =(*mat->ops->pbrelax)(mat,b,omega,flag,shift,its,lits,x);CHKERRQ(ierr);
2893   }
2894   ierr = PetscLogEventEnd(MAT_Relax,mat,b,x,0);CHKERRQ(ierr);
2895   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2896   PetscFunctionReturn(0);
2897 }
2898 
2899 #undef __FUNCT__
2900 #define __FUNCT__ "MatPBRelax"
2901 /*@
2902    MatPBRelax - Computes relaxation (SOR, Gauss-Seidel) sweeps.
2903 
2904    Collective on Mat and Vec
2905 
2906    See MatRelax() for usage
2907 
2908    For multi-component PDEs where the Jacobian is stored in a point block format
2909    (with the PETSc BAIJ matrix formats) the relaxation is done one point block at
2910    a time. That is, the small (for example, 4 by 4) blocks along the diagonal are solved
2911    simultaneously (that is a 4 by 4 linear solve is done) to update all the values at a point.
2912 
2913    Level: developer
2914 
2915 @*/
2916 PetscErrorCode PETSCMAT_DLLEXPORT MatPBRelax(Mat mat,Vec b,PetscReal omega,MatSORType flag,PetscReal shift,PetscInt its,PetscInt lits,Vec x)
2917 {
2918   PetscErrorCode ierr;
2919 
2920   PetscFunctionBegin;
2921   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2922   PetscValidType(mat,1);
2923   PetscValidHeaderSpecific(b,VEC_COOKIE,2);
2924   PetscValidHeaderSpecific(x,VEC_COOKIE,8);
2925   PetscCheckSameComm(mat,1,b,2);
2926   PetscCheckSameComm(mat,1,x,8);
2927   if (!mat->ops->pbrelax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
2928   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2929   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2930   if (mat->N != x->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec x: global dim %D %D",mat->N,x->N);
2931   if (mat->M != b->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: global dim %D %D",mat->M,b->N);
2932   if (mat->m != b->n) SETERRQ2(PETSC_ERR_ARG_SIZ,"Mat mat,Vec b: local dim %D %D",mat->m,b->n);
2933   ierr = MatPreallocated(mat);CHKERRQ(ierr);
2934 
2935   ierr = PetscLogEventBegin(MAT_Relax,mat,b,x,0);CHKERRQ(ierr);
2936   ierr =(*mat->ops->pbrelax)(mat,b,omega,flag,shift,its,lits,x);CHKERRQ(ierr);
2937   ierr = PetscLogEventEnd(MAT_Relax,mat,b,x,0);CHKERRQ(ierr);
2938   ierr = PetscObjectStateIncrease((PetscObject)x);CHKERRQ(ierr);
2939   PetscFunctionReturn(0);
2940 }
2941 
2942 #undef __FUNCT__
2943 #define __FUNCT__ "MatCopy_Basic"
2944 /*
2945       Default matrix copy routine.
2946 */
2947 PetscErrorCode MatCopy_Basic(Mat A,Mat B,MatStructure str)
2948 {
2949   PetscErrorCode    ierr;
2950   PetscInt          i,rstart,rend,nz;
2951   const PetscInt    *cwork;
2952   const PetscScalar *vwork;
2953 
2954   PetscFunctionBegin;
2955   if (B->assembled) {
2956     ierr = MatZeroEntries(B);CHKERRQ(ierr);
2957   }
2958   ierr = MatGetOwnershipRange(A,&rstart,&rend);CHKERRQ(ierr);
2959   for (i=rstart; i<rend; i++) {
2960     ierr = MatGetRow(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2961     ierr = MatSetValues(B,1,&i,nz,cwork,vwork,INSERT_VALUES);CHKERRQ(ierr);
2962     ierr = MatRestoreRow(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2963   }
2964   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2965   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2966   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
2967   PetscFunctionReturn(0);
2968 }
2969 
2970 #undef __FUNCT__
2971 #define __FUNCT__ "MatCopy"
2972 /*@
2973    MatCopy - Copys a matrix to another matrix.
2974 
2975    Collective on Mat
2976 
2977    Input Parameters:
2978 +  A - the matrix
2979 -  str - SAME_NONZERO_PATTERN or DIFFERENT_NONZERO_PATTERN
2980 
2981    Output Parameter:
2982 .  B - where the copy is put
2983 
2984    Notes:
2985    If you use SAME_NONZERO_PATTERN then the two matrices had better have the
2986    same nonzero pattern or the routine will crash.
2987 
2988    MatCopy() copies the matrix entries of a matrix to another existing
2989    matrix (after first zeroing the second matrix).  A related routine is
2990    MatConvert(), which first creates a new matrix and then copies the data.
2991 
2992    Level: intermediate
2993 
2994    Concepts: matrices^copying
2995 
2996 .seealso: MatConvert(), MatDuplicate()
2997 
2998 @*/
2999 PetscErrorCode PETSCMAT_DLLEXPORT MatCopy(Mat A,Mat B,MatStructure str)
3000 {
3001   PetscErrorCode ierr;
3002 
3003   PetscFunctionBegin;
3004   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
3005   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
3006   PetscValidType(A,1);
3007   PetscValidType(B,2);
3008   MatPreallocated(B);
3009   PetscCheckSameComm(A,1,B,2);
3010   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3011   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3012   if (A->M != B->M || A->N != B->N) SETERRQ4(PETSC_ERR_ARG_SIZ,"Mat A,Mat B: global dim (%D,%D) (%D,%D)",A->M,B->M,A->N,B->N);
3013   ierr = MatPreallocated(A);CHKERRQ(ierr);
3014 
3015   ierr = PetscLogEventBegin(MAT_Copy,A,B,0,0);CHKERRQ(ierr);
3016   if (A->ops->copy) {
3017     ierr = (*A->ops->copy)(A,B,str);CHKERRQ(ierr);
3018   } else { /* generic conversion */
3019     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
3020   }
3021   if (A->mapping) {
3022     if (B->mapping) {ierr = ISLocalToGlobalMappingDestroy(B->mapping);CHKERRQ(ierr);B->mapping = 0;}
3023     ierr = MatSetLocalToGlobalMapping(B,A->mapping);CHKERRQ(ierr);
3024   }
3025   if (A->bmapping) {
3026     if (B->bmapping) {ierr = ISLocalToGlobalMappingDestroy(B->bmapping);CHKERRQ(ierr);B->bmapping = 0;}
3027     ierr = MatSetLocalToGlobalMappingBlock(B,A->mapping);CHKERRQ(ierr);
3028   }
3029   ierr = PetscLogEventEnd(MAT_Copy,A,B,0,0);CHKERRQ(ierr);
3030   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3031   PetscFunctionReturn(0);
3032 }
3033 
3034 #include "petscsys.h"
3035 PetscTruth MatConvertRegisterAllCalled = PETSC_FALSE;
3036 PetscFList MatConvertList              = 0;
3037 
3038 #undef __FUNCT__
3039 #define __FUNCT__ "MatConvertRegister"
3040 /*@C
3041     MatConvertRegister - Allows one to register a routine that converts a sparse matrix
3042         from one format to another.
3043 
3044   Not Collective
3045 
3046   Input Parameters:
3047 +   type - the type of matrix (defined in include/petscmat.h), for example, MATSEQAIJ.
3048 -   Converter - the function that reads the matrix from the binary file.
3049 
3050   Level: developer
3051 
3052 .seealso: MatConvertRegisterAll(), MatConvert()
3053 
3054 @*/
3055 PetscErrorCode PETSCMAT_DLLEXPORT MatConvertRegister(const char sname[],const char path[],const char name[],PetscErrorCode (*function)(Mat,MatType,MatReuse,Mat*))
3056 {
3057   PetscErrorCode ierr;
3058   char           fullname[PETSC_MAX_PATH_LEN];
3059 
3060   PetscFunctionBegin;
3061   ierr = PetscFListConcat(path,name,fullname);CHKERRQ(ierr);
3062   ierr = PetscFListAdd(&MatConvertList,sname,fullname,(void (*)(void))function);CHKERRQ(ierr);
3063   PetscFunctionReturn(0);
3064 }
3065 
3066 #undef __FUNCT__
3067 #define __FUNCT__ "MatConvert"
3068 /*@C
3069    MatConvert - Converts a matrix to another matrix, either of the same
3070    or different type.
3071 
3072    Collective on Mat
3073 
3074    Input Parameters:
3075 +  mat - the matrix
3076 .  newtype - new matrix type.  Use MATSAME to create a new matrix of the
3077    same type as the original matrix.
3078 -  reuse - denotes if the destination matrix is to be created or reused.  Currently
3079    MAT_REUSE_MATRIX is only supported for inplace conversion, otherwise use
3080    MAT_INITIAL_MATRIX.
3081    Output Parameter:
3082 .  M - pointer to place new matrix
3083 
3084    Notes:
3085    MatConvert() first creates a new matrix and then copies the data from
3086    the first matrix.  A related routine is MatCopy(), which copies the matrix
3087    entries of one matrix to another already existing matrix context.
3088 
3089    Level: intermediate
3090 
3091    Concepts: matrices^converting between storage formats
3092 
3093 .seealso: MatCopy(), MatDuplicate()
3094 @*/
3095 PetscErrorCode PETSCMAT_DLLEXPORT MatConvert(Mat mat, MatType newtype,MatReuse reuse,Mat *M)
3096 {
3097   PetscErrorCode         ierr;
3098   PetscTruth             sametype,issame,flg;
3099   char                   convname[256],mtype[256];
3100   Mat                    B;
3101 
3102   PetscFunctionBegin;
3103   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3104   PetscValidType(mat,1);
3105   PetscValidPointer(M,3);
3106   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3107   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3108   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3109 
3110   ierr = PetscOptionsGetString(PETSC_NULL,"-matconvert_type",mtype,256,&flg);CHKERRQ(ierr);
3111   if (flg) {
3112     newtype = mtype;
3113   }
3114   ierr = PetscLogEventBegin(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3115 
3116   ierr = PetscTypeCompare((PetscObject)mat,newtype,&sametype);CHKERRQ(ierr);
3117   ierr = PetscStrcmp(newtype,"same",&issame);CHKERRQ(ierr);
3118   if ((reuse==MAT_REUSE_MATRIX) && (mat != *M)) {
3119     SETERRQ(PETSC_ERR_SUP,"MAT_REUSE_MATRIX only supported for inplace convertion currently");
3120   }
3121   if ((sametype || issame) && (reuse==MAT_INITIAL_MATRIX) && mat->ops->duplicate) {
3122     ierr = (*mat->ops->duplicate)(mat,MAT_COPY_VALUES,M);CHKERRQ(ierr);
3123   } else {
3124     PetscErrorCode (*conv)(Mat, MatType,MatReuse,Mat*)=PETSC_NULL;
3125     /*
3126        Order of precedence:
3127        1) See if a specialized converter is known to the current matrix.
3128        2) See if a specialized converter is known to the desired matrix class.
3129        3) See if a good general converter is registered for the desired class
3130           (as of 6/27/03 only MATMPIADJ falls into this category).
3131        4) See if a good general converter is known for the current matrix.
3132        5) Use a really basic converter.
3133     */
3134     ierr = PetscStrcpy(convname,"MatConvert_");CHKERRQ(ierr);
3135     ierr = PetscStrcat(convname,mat->type_name);CHKERRQ(ierr);
3136     ierr = PetscStrcat(convname,"_");CHKERRQ(ierr);
3137     ierr = PetscStrcat(convname,newtype);CHKERRQ(ierr);
3138     ierr = PetscStrcat(convname,"_C");CHKERRQ(ierr);
3139     ierr = PetscObjectQueryFunction((PetscObject)mat,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3140 
3141     if (!conv) {
3142       ierr = MatCreate(mat->comm,&B);CHKERRQ(ierr);
3143       ierr = MatSetSizes(B,0,0,0,0);CHKERRQ(ierr);
3144       ierr = MatSetType(B,newtype);CHKERRQ(ierr);
3145       ierr = PetscObjectQueryFunction((PetscObject)B,convname,(void (**)(void))&conv);CHKERRQ(ierr);
3146       ierr = MatDestroy(B);CHKERRQ(ierr);
3147       if (!conv) {
3148         if (!MatConvertRegisterAllCalled) {
3149           ierr = MatConvertRegisterAll(PETSC_NULL);CHKERRQ(ierr);
3150         }
3151         ierr = PetscFListFind(mat->comm,MatConvertList,newtype,(void(**)(void))&conv);CHKERRQ(ierr);
3152         if (!conv) {
3153           if (mat->ops->convert) {
3154             conv = mat->ops->convert;
3155           } else {
3156             conv = MatConvert_Basic;
3157           }
3158         }
3159       }
3160     }
3161     ierr = (*conv)(mat,newtype,reuse,M);CHKERRQ(ierr);
3162   }
3163   B = *M;
3164   ierr = PetscLogEventEnd(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3165   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3166   PetscFunctionReturn(0);
3167 }
3168 
3169 
3170 #undef __FUNCT__
3171 #define __FUNCT__ "MatDuplicate"
3172 /*@
3173    MatDuplicate - Duplicates a matrix including the non-zero structure.
3174 
3175    Collective on Mat
3176 
3177    Input Parameters:
3178 +  mat - the matrix
3179 -  op - either MAT_DO_NOT_COPY_VALUES or MAT_COPY_VALUES, cause it to copy nonzero
3180         values as well or not
3181 
3182    Output Parameter:
3183 .  M - pointer to place new matrix
3184 
3185    Level: intermediate
3186 
3187    Concepts: matrices^duplicating
3188 
3189 .seealso: MatCopy(), MatConvert()
3190 @*/
3191 PetscErrorCode PETSCMAT_DLLEXPORT MatDuplicate(Mat mat,MatDuplicateOption op,Mat *M)
3192 {
3193   PetscErrorCode ierr;
3194   Mat            B;
3195 
3196   PetscFunctionBegin;
3197   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3198   PetscValidType(mat,1);
3199   PetscValidPointer(M,3);
3200   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3201   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3202   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3203 
3204   *M  = 0;
3205   ierr = PetscLogEventBegin(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3206   if (!mat->ops->duplicate) {
3207     SETERRQ(PETSC_ERR_SUP,"Not written for this matrix type");
3208   }
3209   ierr = (*mat->ops->duplicate)(mat,op,M);CHKERRQ(ierr);
3210   B = *M;
3211   if (mat->mapping) {
3212     ierr = MatSetLocalToGlobalMapping(B,mat->mapping);CHKERRQ(ierr);
3213   }
3214   if (mat->bmapping) {
3215     ierr = MatSetLocalToGlobalMappingBlock(B,mat->bmapping);CHKERRQ(ierr);
3216   }
3217   ierr = PetscMapCopy(mat->comm,&mat->rmap,&B->rmap);CHKERRQ(ierr);
3218   ierr = PetscMapCopy(mat->comm,&mat->cmap,&B->cmap);CHKERRQ(ierr);
3219 
3220   ierr = PetscLogEventEnd(MAT_Convert,mat,0,0,0);CHKERRQ(ierr);
3221   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
3222   PetscFunctionReturn(0);
3223 }
3224 
3225 #undef __FUNCT__
3226 #define __FUNCT__ "MatGetDiagonal"
3227 /*@
3228    MatGetDiagonal - Gets the diagonal of a matrix.
3229 
3230    Collective on Mat and Vec
3231 
3232    Input Parameters:
3233 +  mat - the matrix
3234 -  v - the vector for storing the diagonal
3235 
3236    Output Parameter:
3237 .  v - the diagonal of the matrix
3238 
3239    Notes:
3240    For the SeqAIJ matrix format, this routine may also be called
3241    on a LU factored matrix; in that case it routines the reciprocal of
3242    the diagonal entries in U. It returns the entries permuted by the
3243    row and column permutation used during the symbolic factorization.
3244 
3245    Level: intermediate
3246 
3247    Concepts: matrices^accessing diagonals
3248 
3249 .seealso: MatGetRow(), MatGetSubmatrices(), MatGetSubmatrix(), MatGetRowMax()
3250 @*/
3251 PetscErrorCode PETSCMAT_DLLEXPORT MatGetDiagonal(Mat mat,Vec v)
3252 {
3253   PetscErrorCode ierr;
3254 
3255   PetscFunctionBegin;
3256   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3257   PetscValidType(mat,1);
3258   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3259   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3260   if (!mat->ops->getdiagonal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
3261   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3262 
3263   ierr = (*mat->ops->getdiagonal)(mat,v);CHKERRQ(ierr);
3264   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3265   PetscFunctionReturn(0);
3266 }
3267 
3268 #undef __FUNCT__
3269 #define __FUNCT__ "MatGetRowMax"
3270 /*@
3271    MatGetRowMax - Gets the maximum value (in absolute value) of each
3272         row of the matrix
3273 
3274    Collective on Mat and Vec
3275 
3276    Input Parameters:
3277 .  mat - the matrix
3278 
3279    Output Parameter:
3280 .  v - the vector for storing the maximums
3281 
3282    Level: intermediate
3283 
3284    Concepts: matrices^getting row maximums
3285 
3286 .seealso: MatGetDiagonal(), MatGetSubmatrices(), MatGetSubmatrix()
3287 @*/
3288 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMax(Mat mat,Vec v)
3289 {
3290   PetscErrorCode ierr;
3291 
3292   PetscFunctionBegin;
3293   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3294   PetscValidType(mat,1);
3295   PetscValidHeaderSpecific(v,VEC_COOKIE,2);
3296   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3297   if (!mat->ops->getrowmax) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
3298   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3299 
3300   ierr = (*mat->ops->getrowmax)(mat,v);CHKERRQ(ierr);
3301   ierr = PetscObjectStateIncrease((PetscObject)v);CHKERRQ(ierr);
3302   PetscFunctionReturn(0);
3303 }
3304 
3305 #undef __FUNCT__
3306 #define __FUNCT__ "MatTranspose"
3307 /*@C
3308    MatTranspose - Computes an in-place or out-of-place transpose of a matrix.
3309 
3310    Collective on Mat
3311 
3312    Input Parameter:
3313 .  mat - the matrix to transpose
3314 
3315    Output Parameters:
3316 .  B - the transpose (or pass in PETSC_NULL for an in-place transpose)
3317 
3318    Level: intermediate
3319 
3320    Concepts: matrices^transposing
3321 
3322 .seealso: MatMultTranspose(), MatMultTransposeAdd(), MatIsTranspose()
3323 @*/
3324 PetscErrorCode PETSCMAT_DLLEXPORT MatTranspose(Mat mat,Mat *B)
3325 {
3326   PetscErrorCode ierr;
3327 
3328   PetscFunctionBegin;
3329   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3330   PetscValidType(mat,1);
3331   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3332   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3333   if (!mat->ops->transpose) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
3334   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3335 
3336   ierr = PetscLogEventBegin(MAT_Transpose,mat,0,0,0);CHKERRQ(ierr);
3337   ierr = (*mat->ops->transpose)(mat,B);CHKERRQ(ierr);
3338   ierr = PetscLogEventEnd(MAT_Transpose,mat,0,0,0);CHKERRQ(ierr);
3339   if (B) {ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);}
3340   PetscFunctionReturn(0);
3341 }
3342 
3343 #undef __FUNCT__
3344 #define __FUNCT__ "MatIsTranspose"
3345 /*@C
3346    MatIsTranspose - Test whether a matrix is another one's transpose,
3347         or its own, in which case it tests symmetry.
3348 
3349    Collective on Mat
3350 
3351    Input Parameter:
3352 +  A - the matrix to test
3353 -  B - the matrix to test against, this can equal the first parameter
3354 
3355    Output Parameters:
3356 .  flg - the result
3357 
3358    Notes:
3359    Only available for SeqAIJ/MPIAIJ matrices. The sequential algorithm
3360    has a running time of the order of the number of nonzeros; the parallel
3361    test involves parallel copies of the block-offdiagonal parts of the matrix.
3362 
3363    Level: intermediate
3364 
3365    Concepts: matrices^transposing, matrix^symmetry
3366 
3367 .seealso: MatTranspose(), MatIsSymmetric(), MatIsHermitian()
3368 @*/
3369 PetscErrorCode PETSCMAT_DLLEXPORT MatIsTranspose(Mat A,Mat B,PetscReal tol,PetscTruth *flg)
3370 {
3371   PetscErrorCode ierr,(*f)(Mat,Mat,PetscReal,PetscTruth*),(*g)(Mat,Mat,PetscReal,PetscTruth*);
3372 
3373   PetscFunctionBegin;
3374   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
3375   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
3376   PetscValidPointer(flg,3);
3377   ierr = PetscObjectQueryFunction((PetscObject)A,"MatIsTranspose_C",(void (**)(void))&f);CHKERRQ(ierr);
3378   ierr = PetscObjectQueryFunction((PetscObject)B,"MatIsTranspose_C",(void (**)(void))&g);CHKERRQ(ierr);
3379   if (f && g) {
3380     if (f==g) {
3381       ierr = (*f)(A,B,tol,flg);CHKERRQ(ierr);
3382     } else {
3383       SETERRQ(PETSC_ERR_ARG_NOTSAMETYPE,"Matrices do not have the same comparator for symmetry test");
3384     }
3385   }
3386   PetscFunctionReturn(0);
3387 }
3388 
3389 #undef __FUNCT__
3390 #define __FUNCT__ "MatPermute"
3391 /*@C
3392    MatPermute - Creates a new matrix with rows and columns permuted from the
3393    original.
3394 
3395    Collective on Mat
3396 
3397    Input Parameters:
3398 +  mat - the matrix to permute
3399 .  row - row permutation, each processor supplies only the permutation for its rows
3400 -  col - column permutation, each processor needs the entire column permutation, that is
3401          this is the same size as the total number of columns in the matrix
3402 
3403    Output Parameters:
3404 .  B - the permuted matrix
3405 
3406    Level: advanced
3407 
3408    Concepts: matrices^permuting
3409 
3410 .seealso: MatGetOrdering()
3411 @*/
3412 PetscErrorCode PETSCMAT_DLLEXPORT MatPermute(Mat mat,IS row,IS col,Mat *B)
3413 {
3414   PetscErrorCode ierr;
3415 
3416   PetscFunctionBegin;
3417   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3418   PetscValidType(mat,1);
3419   PetscValidHeaderSpecific(row,IS_COOKIE,2);
3420   PetscValidHeaderSpecific(col,IS_COOKIE,3);
3421   PetscValidPointer(B,4);
3422   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3423   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3424   if (!mat->ops->permute) SETERRQ1(PETSC_ERR_SUP,"MatPermute not available for Mat type %s",mat->type_name);
3425   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3426 
3427   ierr = (*mat->ops->permute)(mat,row,col,B);CHKERRQ(ierr);
3428   ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);
3429   PetscFunctionReturn(0);
3430 }
3431 
3432 #undef __FUNCT__
3433 #define __FUNCT__ "MatPermuteSparsify"
3434 /*@C
3435   MatPermuteSparsify - Creates a new matrix with rows and columns permuted from the
3436   original and sparsified to the prescribed tolerance.
3437 
3438   Collective on Mat
3439 
3440   Input Parameters:
3441 + A    - The matrix to permute
3442 . band - The half-bandwidth of the sparsified matrix, or PETSC_DECIDE
3443 . frac - The half-bandwidth as a fraction of the total size, or 0.0
3444 . tol  - The drop tolerance
3445 . rowp - The row permutation
3446 - colp - The column permutation
3447 
3448   Output Parameter:
3449 . B    - The permuted, sparsified matrix
3450 
3451   Level: advanced
3452 
3453   Note:
3454   The default behavior (band = PETSC_DECIDE and frac = 0.0) is to
3455   restrict the half-bandwidth of the resulting matrix to 5% of the
3456   total matrix size.
3457 
3458 .keywords: matrix, permute, sparsify
3459 
3460 .seealso: MatGetOrdering(), MatPermute()
3461 @*/
3462 PetscErrorCode PETSCMAT_DLLEXPORT MatPermuteSparsify(Mat A, PetscInt band, PetscReal frac, PetscReal tol, IS rowp, IS colp, Mat *B)
3463 {
3464   IS                irowp, icolp;
3465   PetscInt          *rows, *cols;
3466   PetscInt          M, N, locRowStart, locRowEnd;
3467   PetscInt          nz, newNz;
3468   const PetscInt    *cwork;
3469   PetscInt          *cnew;
3470   const PetscScalar *vwork;
3471   PetscScalar       *vnew;
3472   PetscInt          bw, issize;
3473   PetscInt          row, locRow, newRow, col, newCol;
3474   PetscErrorCode    ierr;
3475 
3476   PetscFunctionBegin;
3477   PetscValidHeaderSpecific(A,    MAT_COOKIE,1);
3478   PetscValidHeaderSpecific(rowp, IS_COOKIE,5);
3479   PetscValidHeaderSpecific(colp, IS_COOKIE,6);
3480   PetscValidPointer(B,7);
3481   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE, "Not for unassembled matrix");
3482   if (A->factor)     SETERRQ(PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix");
3483   if (!A->ops->permutesparsify) {
3484     ierr = MatGetSize(A, &M, &N);CHKERRQ(ierr);
3485     ierr = MatGetOwnershipRange(A, &locRowStart, &locRowEnd);CHKERRQ(ierr);
3486     ierr = ISGetSize(rowp, &issize);CHKERRQ(ierr);
3487     if (issize != M) SETERRQ2(PETSC_ERR_ARG_WRONG, "Wrong size %D for row permutation, should be %D", issize, M);
3488     ierr = ISGetSize(colp, &issize);CHKERRQ(ierr);
3489     if (issize != N) SETERRQ2(PETSC_ERR_ARG_WRONG, "Wrong size %D for column permutation, should be %D", issize, N);
3490     ierr = ISInvertPermutation(rowp, 0, &irowp);CHKERRQ(ierr);
3491     ierr = ISGetIndices(irowp, &rows);CHKERRQ(ierr);
3492     ierr = ISInvertPermutation(colp, 0, &icolp);CHKERRQ(ierr);
3493     ierr = ISGetIndices(icolp, &cols);CHKERRQ(ierr);
3494     ierr = PetscMalloc(N * sizeof(PetscInt),         &cnew);CHKERRQ(ierr);
3495     ierr = PetscMalloc(N * sizeof(PetscScalar), &vnew);CHKERRQ(ierr);
3496 
3497     /* Setup bandwidth to include */
3498     if (band == PETSC_DECIDE) {
3499       if (frac <= 0.0)
3500         bw = (PetscInt) (M * 0.05);
3501       else
3502         bw = (PetscInt) (M * frac);
3503     } else {
3504       if (band <= 0) SETERRQ(PETSC_ERR_ARG_WRONG, "Bandwidth must be a positive integer");
3505       bw = band;
3506     }
3507 
3508     /* Put values into new matrix */
3509     ierr = MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, B);CHKERRQ(ierr);
3510     for(row = locRowStart, locRow = 0; row < locRowEnd; row++, locRow++) {
3511       ierr = MatGetRow(A, row, &nz, &cwork, &vwork);CHKERRQ(ierr);
3512       newRow   = rows[locRow]+locRowStart;
3513       for(col = 0, newNz = 0; col < nz; col++) {
3514         newCol = cols[cwork[col]];
3515         if ((newCol >= newRow - bw) && (newCol < newRow + bw) && (PetscAbsScalar(vwork[col]) >= tol)) {
3516           cnew[newNz] = newCol;
3517           vnew[newNz] = vwork[col];
3518           newNz++;
3519         }
3520       }
3521       ierr = MatSetValues(*B, 1, &newRow, newNz, cnew, vnew, INSERT_VALUES);CHKERRQ(ierr);
3522       ierr = MatRestoreRow(A, row, &nz, &cwork, &vwork);CHKERRQ(ierr);
3523     }
3524     ierr = PetscFree(cnew);CHKERRQ(ierr);
3525     ierr = PetscFree(vnew);CHKERRQ(ierr);
3526     ierr = MatAssemblyBegin(*B, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3527     ierr = MatAssemblyEnd(*B, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3528     ierr = ISRestoreIndices(irowp, &rows);CHKERRQ(ierr);
3529     ierr = ISRestoreIndices(icolp, &cols);CHKERRQ(ierr);
3530     ierr = ISDestroy(irowp);CHKERRQ(ierr);
3531     ierr = ISDestroy(icolp);CHKERRQ(ierr);
3532   } else {
3533     ierr = (*A->ops->permutesparsify)(A, band, frac, tol, rowp, colp, B);CHKERRQ(ierr);
3534   }
3535   ierr = PetscObjectStateIncrease((PetscObject)*B);CHKERRQ(ierr);
3536   PetscFunctionReturn(0);
3537 }
3538 
3539 #undef __FUNCT__
3540 #define __FUNCT__ "MatEqual"
3541 /*@
3542    MatEqual - Compares two matrices.
3543 
3544    Collective on Mat
3545 
3546    Input Parameters:
3547 +  A - the first matrix
3548 -  B - the second matrix
3549 
3550    Output Parameter:
3551 .  flg - PETSC_TRUE if the matrices are equal; PETSC_FALSE otherwise.
3552 
3553    Level: intermediate
3554 
3555    Concepts: matrices^equality between
3556 @*/
3557 PetscErrorCode PETSCMAT_DLLEXPORT MatEqual(Mat A,Mat B,PetscTruth *flg)
3558 {
3559   PetscErrorCode ierr;
3560 
3561   PetscFunctionBegin;
3562   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
3563   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
3564   PetscValidType(A,1);
3565   PetscValidType(B,2);
3566   MatPreallocated(B);
3567   PetscValidIntPointer(flg,3);
3568   PetscCheckSameComm(A,1,B,2);
3569   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3570   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3571   if (A->M != B->M || A->N != B->N) SETERRQ4(PETSC_ERR_ARG_SIZ,"Mat A,Mat B: global dim %D %D %D %D",A->M,B->M,A->N,B->N);
3572   if (!A->ops->equal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",A->type_name);
3573   if (!B->ops->equal) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",B->type_name);
3574   if (A->ops->equal != B->ops->equal) SETERRQ2(PETSC_ERR_ARG_INCOMP,"A is type: %s\nB is type: %s",A->type_name,B->type_name);
3575   ierr = MatPreallocated(A);CHKERRQ(ierr);
3576 
3577   ierr = (*A->ops->equal)(A,B,flg);CHKERRQ(ierr);
3578   PetscFunctionReturn(0);
3579 }
3580 
3581 #undef __FUNCT__
3582 #define __FUNCT__ "MatDiagonalScale"
3583 /*@
3584    MatDiagonalScale - Scales a matrix on the left and right by diagonal
3585    matrices that are stored as vectors.  Either of the two scaling
3586    matrices can be PETSC_NULL.
3587 
3588    Collective on Mat
3589 
3590    Input Parameters:
3591 +  mat - the matrix to be scaled
3592 .  l - the left scaling vector (or PETSC_NULL)
3593 -  r - the right scaling vector (or PETSC_NULL)
3594 
3595    Notes:
3596    MatDiagonalScale() computes A = LAR, where
3597    L = a diagonal matrix (stored as a vector), R = a diagonal matrix (stored as a vector)
3598 
3599    Level: intermediate
3600 
3601    Concepts: matrices^diagonal scaling
3602    Concepts: diagonal scaling of matrices
3603 
3604 .seealso: MatScale()
3605 @*/
3606 PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalScale(Mat mat,Vec l,Vec r)
3607 {
3608   PetscErrorCode ierr;
3609 
3610   PetscFunctionBegin;
3611   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3612   PetscValidType(mat,1);
3613   if (!mat->ops->diagonalscale) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
3614   if (l) {PetscValidHeaderSpecific(l,VEC_COOKIE,2);PetscCheckSameComm(mat,1,l,2);}
3615   if (r) {PetscValidHeaderSpecific(r,VEC_COOKIE,3);PetscCheckSameComm(mat,1,r,3);}
3616   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3617   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3618   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3619 
3620   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
3621   ierr = (*mat->ops->diagonalscale)(mat,l,r);CHKERRQ(ierr);
3622   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
3623   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
3624   PetscFunctionReturn(0);
3625 }
3626 
3627 #undef __FUNCT__
3628 #define __FUNCT__ "MatScale"
3629 /*@
3630     MatScale - Scales all elements of a matrix by a given number.
3631 
3632     Collective on Mat
3633 
3634     Input Parameters:
3635 +   mat - the matrix to be scaled
3636 -   a  - the scaling value
3637 
3638     Output Parameter:
3639 .   mat - the scaled matrix
3640 
3641     Level: intermediate
3642 
3643     Concepts: matrices^scaling all entries
3644 
3645 .seealso: MatDiagonalScale()
3646 @*/
3647 PetscErrorCode PETSCMAT_DLLEXPORT MatScale(Mat mat,PetscScalar a)
3648 {
3649   PetscErrorCode ierr;
3650 
3651   PetscFunctionBegin;
3652   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3653   PetscValidType(mat,1);
3654   if (!mat->ops->scale) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
3655   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3656   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3657   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3658 
3659   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
3660   ierr = (*mat->ops->scale)(mat,a);CHKERRQ(ierr);
3661   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
3662   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
3663   PetscFunctionReturn(0);
3664 }
3665 
3666 #undef __FUNCT__
3667 #define __FUNCT__ "MatNorm"
3668 /*@
3669    MatNorm - Calculates various norms of a matrix.
3670 
3671    Collective on Mat
3672 
3673    Input Parameters:
3674 +  mat - the matrix
3675 -  type - the type of norm, NORM_1, NORM_FROBENIUS, NORM_INFINITY
3676 
3677    Output Parameters:
3678 .  nrm - the resulting norm
3679 
3680    Level: intermediate
3681 
3682    Concepts: matrices^norm
3683    Concepts: norm^of matrix
3684 @*/
3685 PetscErrorCode PETSCMAT_DLLEXPORT MatNorm(Mat mat,NormType type,PetscReal *nrm)
3686 {
3687   PetscErrorCode ierr;
3688 
3689   PetscFunctionBegin;
3690   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3691   PetscValidType(mat,1);
3692   PetscValidScalarPointer(nrm,3);
3693 
3694   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3695   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3696   if (!mat->ops->norm) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
3697   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3698 
3699   ierr = (*mat->ops->norm)(mat,type,nrm);CHKERRQ(ierr);
3700   PetscFunctionReturn(0);
3701 }
3702 
3703 /*
3704      This variable is used to prevent counting of MatAssemblyBegin() that
3705    are called from within a MatAssemblyEnd().
3706 */
3707 static PetscInt MatAssemblyEnd_InUse = 0;
3708 #undef __FUNCT__
3709 #define __FUNCT__ "MatAssemblyBegin"
3710 /*@
3711    MatAssemblyBegin - Begins assembling the matrix.  This routine should
3712    be called after completing all calls to MatSetValues().
3713 
3714    Collective on Mat
3715 
3716    Input Parameters:
3717 +  mat - the matrix
3718 -  type - type of assembly, either MAT_FLUSH_ASSEMBLY or MAT_FINAL_ASSEMBLY
3719 
3720    Notes:
3721    MatSetValues() generally caches the values.  The matrix is ready to
3722    use only after MatAssemblyBegin() and MatAssemblyEnd() have been called.
3723    Use MAT_FLUSH_ASSEMBLY when switching between ADD_VALUES and INSERT_VALUES
3724    in MatSetValues(); use MAT_FINAL_ASSEMBLY for the final assembly before
3725    using the matrix.
3726 
3727    Level: beginner
3728 
3729    Concepts: matrices^assembling
3730 
3731 .seealso: MatAssemblyEnd(), MatSetValues(), MatAssembled()
3732 @*/
3733 PetscErrorCode PETSCMAT_DLLEXPORT MatAssemblyBegin(Mat mat,MatAssemblyType type)
3734 {
3735   PetscErrorCode ierr;
3736 
3737   PetscFunctionBegin;
3738   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3739   PetscValidType(mat,1);
3740   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3741   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix.\nDid you forget to call MatSetUnfactored()?");
3742   if (mat->assembled) {
3743     mat->was_assembled = PETSC_TRUE;
3744     mat->assembled     = PETSC_FALSE;
3745   }
3746   if (!MatAssemblyEnd_InUse) {
3747     ierr = PetscLogEventBegin(MAT_AssemblyBegin,mat,0,0,0);CHKERRQ(ierr);
3748     if (mat->ops->assemblybegin){ierr = (*mat->ops->assemblybegin)(mat,type);CHKERRQ(ierr);}
3749     ierr = PetscLogEventEnd(MAT_AssemblyBegin,mat,0,0,0);CHKERRQ(ierr);
3750   } else {
3751     if (mat->ops->assemblybegin){ierr = (*mat->ops->assemblybegin)(mat,type);CHKERRQ(ierr);}
3752   }
3753   PetscFunctionReturn(0);
3754 }
3755 
3756 #undef __FUNCT__
3757 #define __FUNCT__ "MatAssembed"
3758 /*@
3759    MatAssembled - Indicates if a matrix has been assembled and is ready for
3760      use; for example, in matrix-vector product.
3761 
3762    Collective on Mat
3763 
3764    Input Parameter:
3765 .  mat - the matrix
3766 
3767    Output Parameter:
3768 .  assembled - PETSC_TRUE or PETSC_FALSE
3769 
3770    Level: advanced
3771 
3772    Concepts: matrices^assembled?
3773 
3774 .seealso: MatAssemblyEnd(), MatSetValues(), MatAssemblyBegin()
3775 @*/
3776 PetscErrorCode PETSCMAT_DLLEXPORT MatAssembled(Mat mat,PetscTruth *assembled)
3777 {
3778   PetscFunctionBegin;
3779   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3780   PetscValidType(mat,1);
3781   PetscValidPointer(assembled,2);
3782   *assembled = mat->assembled;
3783   PetscFunctionReturn(0);
3784 }
3785 
3786 #undef __FUNCT__
3787 #define __FUNCT__ "MatView_Private"
3788 /*
3789     Processes command line options to determine if/how a matrix
3790   is to be viewed. Called by MatAssemblyEnd() and MatLoad().
3791 */
3792 PetscErrorCode MatView_Private(Mat mat)
3793 {
3794   PetscErrorCode    ierr;
3795   PetscTruth        flg;
3796   static PetscTruth incall = PETSC_FALSE;
3797 
3798   PetscFunctionBegin;
3799   if (incall) PetscFunctionReturn(0);
3800   incall = PETSC_TRUE;
3801   ierr = PetscOptionsBegin(mat->comm,mat->prefix,"Matrix Options","Mat");CHKERRQ(ierr);
3802     ierr = PetscOptionsName("-mat_view_info","Information on matrix size","MatView",&flg);CHKERRQ(ierr);
3803     if (flg) {
3804       ierr = PetscViewerPushFormat(PETSC_VIEWER_STDOUT_(mat->comm),PETSC_VIEWER_ASCII_INFO);CHKERRQ(ierr);
3805       ierr = MatView(mat,PETSC_VIEWER_STDOUT_(mat->comm));CHKERRQ(ierr);
3806       ierr = PetscViewerPopFormat(PETSC_VIEWER_STDOUT_(mat->comm));CHKERRQ(ierr);
3807     }
3808     ierr = PetscOptionsName("-mat_view_info_detailed","Nonzeros in the matrix","MatView",&flg);CHKERRQ(ierr);
3809     if (flg) {
3810       ierr = PetscViewerPushFormat(PETSC_VIEWER_STDOUT_(mat->comm),PETSC_VIEWER_ASCII_INFO_DETAIL);CHKERRQ(ierr);
3811       ierr = MatView(mat,PETSC_VIEWER_STDOUT_(mat->comm));CHKERRQ(ierr);
3812       ierr = PetscViewerPopFormat(PETSC_VIEWER_STDOUT_(mat->comm));CHKERRQ(ierr);
3813     }
3814     ierr = PetscOptionsName("-mat_view","Print matrix to stdout","MatView",&flg);CHKERRQ(ierr);
3815     if (flg) {
3816       ierr = MatView(mat,PETSC_VIEWER_STDOUT_(mat->comm));CHKERRQ(ierr);
3817     }
3818     ierr = PetscOptionsName("-mat_view_matlab","Print matrix to stdout in a format Matlab can read","MatView",&flg);CHKERRQ(ierr);
3819     if (flg) {
3820       ierr = PetscViewerPushFormat(PETSC_VIEWER_STDOUT_(mat->comm),PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr);
3821       ierr = MatView(mat,PETSC_VIEWER_STDOUT_(mat->comm));CHKERRQ(ierr);
3822       ierr = PetscViewerPopFormat(PETSC_VIEWER_STDOUT_(mat->comm));CHKERRQ(ierr);
3823     }
3824 #if defined(PETSC_USE_SOCKET_VIEWER)
3825     ierr = PetscOptionsName("-mat_view_socket","Send matrix to socket (can be read from matlab)","MatView",&flg);CHKERRQ(ierr);
3826     if (flg) {
3827       ierr = MatView(mat,PETSC_VIEWER_SOCKET_(mat->comm));CHKERRQ(ierr);
3828       ierr = PetscViewerFlush(PETSC_VIEWER_SOCKET_(mat->comm));CHKERRQ(ierr);
3829     }
3830 #endif
3831     ierr = PetscOptionsName("-mat_view_binary","Save matrix to file in binary format","MatView",&flg);CHKERRQ(ierr);
3832     if (flg) {
3833       ierr = MatView(mat,PETSC_VIEWER_BINARY_(mat->comm));CHKERRQ(ierr);
3834       ierr = PetscViewerFlush(PETSC_VIEWER_BINARY_(mat->comm));CHKERRQ(ierr);
3835     }
3836   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3837   /* cannot have inside PetscOptionsBegin() because uses PetscOptionsBegin() */
3838   ierr = PetscOptionsHasName(mat->prefix,"-mat_view_draw",&flg);CHKERRQ(ierr);
3839   if (flg) {
3840     ierr = PetscOptionsHasName(mat->prefix,"-mat_view_contour",&flg);CHKERRQ(ierr);
3841     if (flg) {
3842       PetscViewerPushFormat(PETSC_VIEWER_DRAW_(mat->comm),PETSC_VIEWER_DRAW_CONTOUR);CHKERRQ(ierr);
3843     }
3844     ierr = MatView(mat,PETSC_VIEWER_DRAW_(mat->comm));CHKERRQ(ierr);
3845     ierr = PetscViewerFlush(PETSC_VIEWER_DRAW_(mat->comm));CHKERRQ(ierr);
3846     if (flg) {
3847       PetscViewerPopFormat(PETSC_VIEWER_DRAW_(mat->comm));CHKERRQ(ierr);
3848     }
3849   }
3850   incall = PETSC_FALSE;
3851   PetscFunctionReturn(0);
3852 }
3853 
3854 #undef __FUNCT__
3855 #define __FUNCT__ "MatAssemblyEnd"
3856 /*@
3857    MatAssemblyEnd - Completes assembling the matrix.  This routine should
3858    be called after MatAssemblyBegin().
3859 
3860    Collective on Mat
3861 
3862    Input Parameters:
3863 +  mat - the matrix
3864 -  type - type of assembly, either MAT_FLUSH_ASSEMBLY or MAT_FINAL_ASSEMBLY
3865 
3866    Options Database Keys:
3867 +  -mat_view_info - Prints info on matrix at conclusion of MatEndAssembly()
3868 .  -mat_view_info_detailed - Prints more detailed info
3869 .  -mat_view - Prints matrix in ASCII format
3870 .  -mat_view_matlab - Prints matrix in Matlab format
3871 .  -mat_view_draw - PetscDraws nonzero structure of matrix, using MatView() and PetscDrawOpenX().
3872 .  -display <name> - Sets display name (default is host)
3873 .  -draw_pause <sec> - Sets number of seconds to pause after display
3874 .  -mat_view_socket - Sends matrix to socket, can be accessed from Matlab (see users manual)
3875 .  -viewer_socket_machine <machine>
3876 .  -viewer_socket_port <port>
3877 .  -mat_view_binary - save matrix to file in binary format
3878 -  -viewer_binary_filename <name>
3879 
3880    Notes:
3881    MatSetValues() generally caches the values.  The matrix is ready to
3882    use only after MatAssemblyBegin() and MatAssemblyEnd() have been called.
3883    Use MAT_FLUSH_ASSEMBLY when switching between ADD_VALUES and INSERT_VALUES
3884    in MatSetValues(); use MAT_FINAL_ASSEMBLY for the final assembly before
3885    using the matrix.
3886 
3887    Level: beginner
3888 
3889 .seealso: MatAssemblyBegin(), MatSetValues(), PetscDrawOpenX(), MatView(), MatAssembled(), PetscViewerSocketOpen()
3890 @*/
3891 PetscErrorCode PETSCMAT_DLLEXPORT MatAssemblyEnd(Mat mat,MatAssemblyType type)
3892 {
3893   PetscErrorCode  ierr;
3894   static PetscInt inassm = 0;
3895   PetscTruth      flg;
3896 
3897   PetscFunctionBegin;
3898   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3899   PetscValidType(mat,1);
3900 
3901   inassm++;
3902   MatAssemblyEnd_InUse++;
3903   if (MatAssemblyEnd_InUse == 1) { /* Do the logging only the first time through */
3904     ierr = PetscLogEventBegin(MAT_AssemblyEnd,mat,0,0,0);CHKERRQ(ierr);
3905     if (mat->ops->assemblyend) {
3906       ierr = (*mat->ops->assemblyend)(mat,type);CHKERRQ(ierr);
3907     }
3908     ierr = PetscLogEventEnd(MAT_AssemblyEnd,mat,0,0,0);CHKERRQ(ierr);
3909   } else {
3910     if (mat->ops->assemblyend) {
3911       ierr = (*mat->ops->assemblyend)(mat,type);CHKERRQ(ierr);
3912     }
3913   }
3914 
3915   /* Flush assembly is not a true assembly */
3916   if (type != MAT_FLUSH_ASSEMBLY) {
3917     mat->assembled  = PETSC_TRUE; mat->num_ass++;
3918   }
3919   mat->insertmode = NOT_SET_VALUES;
3920   MatAssemblyEnd_InUse--;
3921   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
3922   if (!mat->symmetric_eternal) {
3923     mat->symmetric_set              = PETSC_FALSE;
3924     mat->hermitian_set              = PETSC_FALSE;
3925     mat->structurally_symmetric_set = PETSC_FALSE;
3926   }
3927   if (inassm == 1 && type != MAT_FLUSH_ASSEMBLY) {
3928     ierr = MatView_Private(mat);CHKERRQ(ierr);
3929     ierr = PetscOptionsHasName(mat->prefix,"-mat_is_symmetric",&flg);CHKERRQ(ierr);
3930     if (flg) {
3931       PetscReal tol = 0.0;
3932       ierr = PetscOptionsGetReal(mat->prefix,"-mat_is_symmetric",&tol,PETSC_NULL);CHKERRQ(ierr);
3933       ierr = MatIsSymmetric(mat,tol,&flg);CHKERRQ(ierr);
3934       if (flg) {
3935         ierr = PetscPrintf(mat->comm,"Matrix is symmetric (tolerance %G)\n",tol);CHKERRQ(ierr);
3936       } else {
3937         ierr = PetscPrintf(mat->comm,"Matrix is not symmetric (tolerance %G)\n",tol);CHKERRQ(ierr);
3938       }
3939     }
3940   }
3941   inassm--;
3942   ierr = PetscOptionsHasName(mat->prefix,"-help",&flg);CHKERRQ(ierr);
3943   if (flg) {
3944     ierr = MatPrintHelp(mat);CHKERRQ(ierr);
3945   }
3946   PetscFunctionReturn(0);
3947 }
3948 
3949 
3950 #undef __FUNCT__
3951 #define __FUNCT__ "MatCompress"
3952 /*@
3953    MatCompress - Tries to store the matrix in as little space as
3954    possible.  May fail if memory is already fully used, since it
3955    tries to allocate new space.
3956 
3957    Collective on Mat
3958 
3959    Input Parameters:
3960 .  mat - the matrix
3961 
3962    Level: advanced
3963 
3964 @*/
3965 PetscErrorCode PETSCMAT_DLLEXPORT MatCompress(Mat mat)
3966 {
3967   PetscErrorCode ierr;
3968 
3969   PetscFunctionBegin;
3970   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
3971   PetscValidType(mat,1);
3972   ierr = MatPreallocated(mat);CHKERRQ(ierr);
3973   if (mat->ops->compress) {ierr = (*mat->ops->compress)(mat);CHKERRQ(ierr);}
3974   PetscFunctionReturn(0);
3975 }
3976 
3977 #undef __FUNCT__
3978 #define __FUNCT__ "MatSetOption"
3979 /*@
3980    MatSetOption - Sets a parameter option for a matrix. Some options
3981    may be specific to certain storage formats.  Some options
3982    determine how values will be inserted (or added). Sorted,
3983    row-oriented input will generally assemble the fastest. The default
3984    is row-oriented, nonsorted input.
3985 
3986    Collective on Mat
3987 
3988    Input Parameters:
3989 +  mat - the matrix
3990 -  option - the option, one of those listed below (and possibly others),
3991              e.g., MAT_ROWS_SORTED, MAT_NEW_NONZERO_LOCATION_ERR
3992 
3993    Options Describing Matrix Structure:
3994 +    MAT_SYMMETRIC - symmetric in terms of both structure and value
3995 .    MAT_HERMITIAN - transpose is the complex conjugation
3996 .    MAT_STRUCTURALLY_SYMMETRIC - symmetric nonzero structure
3997 .    MAT_NOT_SYMMETRIC - not symmetric in value
3998 .    MAT_NOT_HERMITIAN - transpose is not the complex conjugation
3999 .    MAT_NOT_STRUCTURALLY_SYMMETRIC - not symmetric nonzero structure
4000 .    MAT_SYMMETRY_ETERNAL - if you would like the symmetry/Hermitian flag
4001                             you set to be kept with all future use of the matrix
4002                             including after MatAssemblyBegin/End() which could
4003                             potentially change the symmetry structure, i.e. you
4004                             KNOW the matrix will ALWAYS have the property you set.
4005 -    MAT_NOT_SYMMETRY_ETERNAL - if MatAssemblyBegin/End() is called then the
4006                                 flags you set will be dropped (in case potentially
4007                                 the symmetry etc was lost).
4008 
4009    Options For Use with MatSetValues():
4010    Insert a logically dense subblock, which can be
4011 +    MAT_ROW_ORIENTED - row-oriented (default)
4012 .    MAT_COLUMN_ORIENTED - column-oriented
4013 .    MAT_ROWS_SORTED - sorted by row
4014 .    MAT_ROWS_UNSORTED - not sorted by row (default)
4015 .    MAT_COLUMNS_SORTED - sorted by column
4016 -    MAT_COLUMNS_UNSORTED - not sorted by column (default)
4017 
4018    Not these options reflect the data you pass in with MatSetValues(); it has
4019    nothing to do with how the data is stored internally in the matrix
4020    data structure.
4021 
4022    When (re)assembling a matrix, we can restrict the input for
4023    efficiency/debugging purposes.  These options include
4024 +    MAT_NO_NEW_NONZERO_LOCATIONS - additional insertions will not be
4025         allowed if they generate a new nonzero
4026 .    MAT_YES_NEW_NONZERO_LOCATIONS - additional insertions will be allowed
4027 .    MAT_NO_NEW_DIAGONALS - additional insertions will not be allowed if
4028          they generate a nonzero in a new diagonal (for block diagonal format only)
4029 .    MAT_YES_NEW_DIAGONALS - new diagonals will be allowed (for block diagonal format only)
4030 .    MAT_IGNORE_OFF_PROC_ENTRIES - drops off-processor entries
4031 .    MAT_NEW_NONZERO_LOCATION_ERR - generates an error for new matrix entry
4032 -    MAT_USE_HASH_TABLE - uses a hash table to speed up matrix assembly
4033 
4034    Notes:
4035    Some options are relevant only for particular matrix types and
4036    are thus ignored by others.  Other options are not supported by
4037    certain matrix types and will generate an error message if set.
4038 
4039    If using a Fortran 77 module to compute a matrix, one may need to
4040    use the column-oriented option (or convert to the row-oriented
4041    format).
4042 
4043    MAT_NO_NEW_NONZERO_LOCATIONS indicates that any add or insertion
4044    that would generate a new entry in the nonzero structure is instead
4045    ignored.  Thus, if memory has not alredy been allocated for this particular
4046    data, then the insertion is ignored. For dense matrices, in which
4047    the entire array is allocated, no entries are ever ignored.
4048    Set after the first MatAssemblyEnd()
4049 
4050    MAT_NEW_NONZERO_LOCATION_ERR indicates that any add or insertion
4051    that would generate a new entry in the nonzero structure instead produces
4052    an error. (Currently supported for AIJ and BAIJ formats only.)
4053    This is a useful flag when using SAME_NONZERO_PATTERN in calling
4054    KSPSetOperators() to ensure that the nonzero pattern truely does
4055    remain unchanged. Set after the first MatAssemblyEnd()
4056 
4057    MAT_NEW_NONZERO_ALLOCATION_ERR indicates that any add or insertion
4058    that would generate a new entry that has not been preallocated will
4059    instead produce an error. (Currently supported for AIJ and BAIJ formats
4060    only.) This is a useful flag when debugging matrix memory preallocation.
4061 
4062    MAT_IGNORE_OFF_PROC_ENTRIES indicates entries destined for
4063    other processors should be dropped, rather than stashed.
4064    This is useful if you know that the "owning" processor is also
4065    always generating the correct matrix entries, so that PETSc need
4066    not transfer duplicate entries generated on another processor.
4067 
4068    MAT_USE_HASH_TABLE indicates that a hash table be used to improve the
4069    searches during matrix assembly. When this flag is set, the hash table
4070    is created during the first Matrix Assembly. This hash table is
4071    used the next time through, during MatSetVaules()/MatSetVaulesBlocked()
4072    to improve the searching of indices. MAT_NO_NEW_NONZERO_LOCATIONS flag
4073    should be used with MAT_USE_HASH_TABLE flag. This option is currently
4074    supported by MATMPIBAIJ format only.
4075 
4076    MAT_KEEP_ZEROED_ROWS indicates when MatZeroRows() is called the zeroed entries
4077    are kept in the nonzero structure
4078 
4079    MAT_IGNORE_ZERO_ENTRIES - for AIJ/IS matrices this will stop zero values from creating
4080    a zero location in the matrix
4081 
4082    MAT_USE_INODES - indicates using inode version of the code - works with AIJ and
4083    ROWBS matrix types
4084 
4085    MAT_DO_NOT_USE_INODES - indicates not using inode version of the code - works
4086    with AIJ and ROWBS matrix types (database option "-mat_no_inode")
4087 
4088    Level: intermediate
4089 
4090    Concepts: matrices^setting options
4091 
4092 @*/
4093 PetscErrorCode PETSCMAT_DLLEXPORT MatSetOption(Mat mat,MatOption op)
4094 {
4095   PetscErrorCode ierr;
4096 
4097   PetscFunctionBegin;
4098   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4099   PetscValidType(mat,1);
4100   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4101   switch (op) {
4102   case MAT_SYMMETRIC:
4103     mat->symmetric                  = PETSC_TRUE;
4104     mat->structurally_symmetric     = PETSC_TRUE;
4105     mat->symmetric_set              = PETSC_TRUE;
4106     mat->structurally_symmetric_set = PETSC_TRUE;
4107     break;
4108   case MAT_HERMITIAN:
4109     mat->hermitian                  = PETSC_TRUE;
4110     mat->structurally_symmetric     = PETSC_TRUE;
4111     mat->hermitian_set              = PETSC_TRUE;
4112     mat->structurally_symmetric_set = PETSC_TRUE;
4113     break;
4114   case MAT_STRUCTURALLY_SYMMETRIC:
4115     mat->structurally_symmetric     = PETSC_TRUE;
4116     mat->structurally_symmetric_set = PETSC_TRUE;
4117     break;
4118   case MAT_NOT_SYMMETRIC:
4119     mat->symmetric                  = PETSC_FALSE;
4120     mat->symmetric_set              = PETSC_TRUE;
4121     break;
4122   case MAT_NOT_HERMITIAN:
4123     mat->hermitian                  = PETSC_FALSE;
4124     mat->hermitian_set              = PETSC_TRUE;
4125     break;
4126   case MAT_NOT_STRUCTURALLY_SYMMETRIC:
4127     mat->structurally_symmetric     = PETSC_FALSE;
4128     mat->structurally_symmetric_set = PETSC_TRUE;
4129     break;
4130   case MAT_SYMMETRY_ETERNAL:
4131     mat->symmetric_eternal          = PETSC_TRUE;
4132     break;
4133   case MAT_NOT_SYMMETRY_ETERNAL:
4134     mat->symmetric_eternal          = PETSC_FALSE;
4135     break;
4136   default:
4137     break;
4138   }
4139   if (mat->ops->setoption) {
4140     ierr = (*mat->ops->setoption)(mat,op);CHKERRQ(ierr);
4141   }
4142   PetscFunctionReturn(0);
4143 }
4144 
4145 #undef __FUNCT__
4146 #define __FUNCT__ "MatZeroEntries"
4147 /*@
4148    MatZeroEntries - Zeros all entries of a matrix.  For sparse matrices
4149    this routine retains the old nonzero structure.
4150 
4151    Collective on Mat
4152 
4153    Input Parameters:
4154 .  mat - the matrix
4155 
4156    Level: intermediate
4157 
4158    Concepts: matrices^zeroing
4159 
4160 .seealso: MatZeroRows()
4161 @*/
4162 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroEntries(Mat mat)
4163 {
4164   PetscErrorCode ierr;
4165 
4166   PetscFunctionBegin;
4167   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4168   PetscValidType(mat,1);
4169   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4170   if (mat->insertmode != NOT_SET_VALUES) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for matrices where you have set values but not yet assembled");
4171   if (!mat->ops->zeroentries) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
4172   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4173 
4174   ierr = PetscLogEventBegin(MAT_ZeroEntries,mat,0,0,0);CHKERRQ(ierr);
4175   ierr = (*mat->ops->zeroentries)(mat);CHKERRQ(ierr);
4176   ierr = PetscLogEventEnd(MAT_ZeroEntries,mat,0,0,0);CHKERRQ(ierr);
4177   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4178   PetscFunctionReturn(0);
4179 }
4180 
4181 #undef __FUNCT__
4182 #define __FUNCT__ "MatZeroRows"
4183 /*@C
4184    MatZeroRows - Zeros all entries (except possibly the main diagonal)
4185    of a set of rows of a matrix.
4186 
4187    Collective on Mat
4188 
4189    Input Parameters:
4190 +  mat - the matrix
4191 .  numRows - the number of rows to remove
4192 .  rows - the global row indices
4193 -  diag - value put in all diagonals of eliminated rows
4194 
4195    Notes:
4196    For the AIJ and BAIJ matrix formats this removes the old nonzero structure,
4197    but does not release memory.  For the dense and block diagonal
4198    formats this does not alter the nonzero structure.
4199 
4200    If the option MatSetOption(mat,MAT_KEEP_ZEROED_ROWS) the nonzero structure
4201    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
4202    merely zeroed.
4203 
4204    The user can set a value in the diagonal entry (or for the AIJ and
4205    row formats can optionally remove the main diagonal entry from the
4206    nonzero structure as well, by passing 0.0 as the final argument).
4207 
4208    For the parallel case, all processes that share the matrix (i.e.,
4209    those in the communicator used for matrix creation) MUST call this
4210    routine, regardless of whether any rows being zeroed are owned by
4211    them.
4212 
4213    Each processor should list the rows that IT wants zeroed
4214 
4215    Level: intermediate
4216 
4217    Concepts: matrices^zeroing rows
4218 
4219 .seealso: MatZeroRowsIS(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption()
4220 @*/
4221 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRows(Mat mat,PetscInt numRows,const PetscInt rows[],PetscScalar diag)
4222 {
4223   PetscErrorCode ierr;
4224 
4225   PetscFunctionBegin;
4226   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4227   PetscValidType(mat,1);
4228   if (numRows) PetscValidIntPointer(rows,3);
4229   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4230   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4231   if (!mat->ops->zerorows) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
4232   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4233 
4234   ierr = (*mat->ops->zerorows)(mat,numRows,rows,diag);CHKERRQ(ierr);
4235   ierr = MatView_Private(mat);CHKERRQ(ierr);
4236   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4237   PetscFunctionReturn(0);
4238 }
4239 
4240 #undef __FUNCT__
4241 #define __FUNCT__ "MatZeroRowsIS"
4242 /*@C
4243    MatZeroRowsIS - Zeros all entries (except possibly the main diagonal)
4244    of a set of rows of a matrix.
4245 
4246    Collective on Mat
4247 
4248    Input Parameters:
4249 +  mat - the matrix
4250 .  is - index set of rows to remove
4251 -  diag - value put in all diagonals of eliminated rows
4252 
4253    Notes:
4254    For the AIJ and BAIJ matrix formats this removes the old nonzero structure,
4255    but does not release memory.  For the dense and block diagonal
4256    formats this does not alter the nonzero structure.
4257 
4258    If the option MatSetOption(mat,MAT_KEEP_ZEROED_ROWS) the nonzero structure
4259    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
4260    merely zeroed.
4261 
4262    The user can set a value in the diagonal entry (or for the AIJ and
4263    row formats can optionally remove the main diagonal entry from the
4264    nonzero structure as well, by passing 0.0 as the final argument).
4265 
4266    For the parallel case, all processes that share the matrix (i.e.,
4267    those in the communicator used for matrix creation) MUST call this
4268    routine, regardless of whether any rows being zeroed are owned by
4269    them.
4270 
4271    Each processor should list the rows that IT wants zeroed
4272 
4273    Level: intermediate
4274 
4275    Concepts: matrices^zeroing rows
4276 
4277 .seealso: MatZeroRows(), MatZeroEntries(), MatZeroRowsLocal(), MatSetOption()
4278 @*/
4279 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsIS(Mat mat,IS is,PetscScalar diag)
4280 {
4281   PetscInt       numRows;
4282   PetscInt       *rows;
4283   PetscErrorCode ierr;
4284 
4285   PetscFunctionBegin;
4286   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4287   PetscValidType(mat,1);
4288   PetscValidHeaderSpecific(is,IS_COOKIE,2);
4289   ierr = ISGetLocalSize(is,&numRows);CHKERRQ(ierr);
4290   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
4291   ierr = MatZeroRows(mat,numRows,rows,diag);CHKERRQ(ierr);
4292   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
4293   PetscFunctionReturn(0);
4294 }
4295 
4296 #undef __FUNCT__
4297 #define __FUNCT__ "MatZeroRowsLocal"
4298 /*@C
4299    MatZeroRowsLocal - Zeros all entries (except possibly the main diagonal)
4300    of a set of rows of a matrix; using local numbering of rows.
4301 
4302    Collective on Mat
4303 
4304    Input Parameters:
4305 +  mat - the matrix
4306 .  numRows - the number of rows to remove
4307 .  rows - the global row indices
4308 -  diag - value put in all diagonals of eliminated rows
4309 
4310    Notes:
4311    Before calling MatZeroRowsLocal(), the user must first set the
4312    local-to-global mapping by calling MatSetLocalToGlobalMapping().
4313 
4314    For the AIJ matrix formats this removes the old nonzero structure,
4315    but does not release memory.  For the dense and block diagonal
4316    formats this does not alter the nonzero structure.
4317 
4318    If the option MatSetOption(mat,MAT_KEEP_ZEROED_ROWS) the nonzero structure
4319    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
4320    merely zeroed.
4321 
4322    The user can set a value in the diagonal entry (or for the AIJ and
4323    row formats can optionally remove the main diagonal entry from the
4324    nonzero structure as well, by passing 0.0 as the final argument).
4325 
4326    Level: intermediate
4327 
4328    Concepts: matrices^zeroing
4329 
4330 .seealso: MatZeroRows(), MatZeroRowsLocalIS(), MatZeroEntries(), MatZeroRows(), MatSetLocalToGlobalMapping
4331 @*/
4332 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsLocal(Mat mat,PetscInt numRows,const PetscInt rows[],PetscScalar diag)
4333 {
4334   PetscErrorCode ierr;
4335 
4336   PetscFunctionBegin;
4337   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4338   PetscValidType(mat,1);
4339   if (numRows) PetscValidIntPointer(rows,3);
4340   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4341   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4342   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4343 
4344   if (mat->ops->zerorowslocal) {
4345     ierr = (*mat->ops->zerorowslocal)(mat,numRows,rows,diag);CHKERRQ(ierr);
4346   } else {
4347     IS is, newis;
4348     PetscInt *newRows;
4349 
4350     if (!mat->mapping) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Need to provide local to global mapping to matrix first");
4351     ierr = ISCreateGeneral(PETSC_COMM_SELF,numRows,rows,&is);CHKERRQ(ierr);
4352     ierr = ISLocalToGlobalMappingApplyIS(mat->mapping,is,&newis);CHKERRQ(ierr);
4353     ierr = ISGetIndices(newis,&newRows);CHKERRQ(ierr);
4354     ierr = (*mat->ops->zerorows)(mat,numRows,newRows,diag);CHKERRQ(ierr);
4355     ierr = ISRestoreIndices(newis,&newRows);CHKERRQ(ierr);
4356     ierr = ISDestroy(newis);CHKERRQ(ierr);
4357     ierr = ISDestroy(is);CHKERRQ(ierr);
4358   }
4359   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4360   PetscFunctionReturn(0);
4361 }
4362 
4363 #undef __FUNCT__
4364 #define __FUNCT__ "MatZeroRowsLocal"
4365 /*@C
4366    MatZeroRowsLocal - Zeros all entries (except possibly the main diagonal)
4367    of a set of rows of a matrix; using local numbering of rows.
4368 
4369    Collective on Mat
4370 
4371    Input Parameters:
4372 +  mat - the matrix
4373 .  is - index set of rows to remove
4374 -  diag - value put in all diagonals of eliminated rows
4375 
4376    Notes:
4377    Before calling MatZeroRowsLocal(), the user must first set the
4378    local-to-global mapping by calling MatSetLocalToGlobalMapping().
4379 
4380    For the AIJ matrix formats this removes the old nonzero structure,
4381    but does not release memory.  For the dense and block diagonal
4382    formats this does not alter the nonzero structure.
4383 
4384    If the option MatSetOption(mat,MAT_KEEP_ZEROED_ROWS) the nonzero structure
4385    of the matrix is not changed (even for AIJ and BAIJ matrices) the values are
4386    merely zeroed.
4387 
4388    The user can set a value in the diagonal entry (or for the AIJ and
4389    row formats can optionally remove the main diagonal entry from the
4390    nonzero structure as well, by passing 0.0 as the final argument).
4391 
4392    Level: intermediate
4393 
4394    Concepts: matrices^zeroing
4395 
4396 .seealso: MatZeroRows(), MatZeroRowsLocal(), MatZeroEntries(), MatZeroRows(), MatSetLocalToGlobalMapping
4397 @*/
4398 PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsLocalIS(Mat mat,IS is,PetscScalar diag)
4399 {
4400   PetscErrorCode ierr;
4401   PetscInt       numRows;
4402   PetscInt       *rows;
4403 
4404   PetscFunctionBegin;
4405   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4406   PetscValidType(mat,1);
4407   PetscValidHeaderSpecific(is,IS_COOKIE,2);
4408   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4409   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4410   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4411 
4412   ierr = ISGetLocalSize(is,&numRows);CHKERRQ(ierr);
4413   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
4414   ierr = MatZeroRowsLocal(mat,numRows,rows,diag);CHKERRQ(ierr);
4415   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
4416   PetscFunctionReturn(0);
4417 }
4418 
4419 #undef __FUNCT__
4420 #define __FUNCT__ "MatGetSize"
4421 /*@
4422    MatGetSize - Returns the numbers of rows and columns in a matrix.
4423 
4424    Not Collective
4425 
4426    Input Parameter:
4427 .  mat - the matrix
4428 
4429    Output Parameters:
4430 +  m - the number of global rows
4431 -  n - the number of global columns
4432 
4433    Note: both output parameters can be PETSC_NULL on input.
4434 
4435    Level: beginner
4436 
4437    Concepts: matrices^size
4438 
4439 .seealso: MatGetLocalSize()
4440 @*/
4441 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSize(Mat mat,PetscInt *m,PetscInt* n)
4442 {
4443   PetscFunctionBegin;
4444   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4445   if (m) *m = mat->M;
4446   if (n) *n = mat->N;
4447   PetscFunctionReturn(0);
4448 }
4449 
4450 #undef __FUNCT__
4451 #define __FUNCT__ "MatGetLocalSize"
4452 /*@
4453    MatGetLocalSize - Returns the number of rows and columns in a matrix
4454    stored locally.  This information may be implementation dependent, so
4455    use with care.
4456 
4457    Not Collective
4458 
4459    Input Parameters:
4460 .  mat - the matrix
4461 
4462    Output Parameters:
4463 +  m - the number of local rows
4464 -  n - the number of local columns
4465 
4466    Note: both output parameters can be PETSC_NULL on input.
4467 
4468    Level: beginner
4469 
4470    Concepts: matrices^local size
4471 
4472 .seealso: MatGetSize()
4473 @*/
4474 PetscErrorCode PETSCMAT_DLLEXPORT MatGetLocalSize(Mat mat,PetscInt *m,PetscInt* n)
4475 {
4476   PetscFunctionBegin;
4477   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4478   if (m) PetscValidIntPointer(m,2);
4479   if (n) PetscValidIntPointer(n,3);
4480   if (m) *m = mat->m;
4481   if (n) *n = mat->n;
4482   PetscFunctionReturn(0);
4483 }
4484 
4485 #undef __FUNCT__
4486 #define __FUNCT__ "MatGetOwnershipRange"
4487 /*@
4488    MatGetOwnershipRange - Returns the range of matrix rows owned by
4489    this processor, assuming that the matrix is laid out with the first
4490    n1 rows on the first processor, the next n2 rows on the second, etc.
4491    For certain parallel layouts this range may not be well defined.
4492 
4493    Not Collective
4494 
4495    Input Parameters:
4496 .  mat - the matrix
4497 
4498    Output Parameters:
4499 +  m - the global index of the first local row
4500 -  n - one more than the global index of the last local row
4501 
4502    Note: both output parameters can be PETSC_NULL on input.
4503 
4504    Level: beginner
4505 
4506    Concepts: matrices^row ownership
4507 @*/
4508 PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRange(Mat mat,PetscInt *m,PetscInt* n)
4509 {
4510   PetscErrorCode ierr;
4511 
4512   PetscFunctionBegin;
4513   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4514   PetscValidType(mat,1);
4515   if (m) PetscValidIntPointer(m,2);
4516   if (n) PetscValidIntPointer(n,3);
4517   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4518   *m = mat->rmap.rstart;
4519   *n = mat->rmap.rend;
4520   PetscFunctionReturn(0);
4521 }
4522 
4523 #undef __FUNCT__
4524 #define __FUNCT__ "MatILUFactorSymbolic"
4525 /*@
4526    MatILUFactorSymbolic - Performs symbolic ILU factorization of a matrix.
4527    Uses levels of fill only, not drop tolerance. Use MatLUFactorNumeric()
4528    to complete the factorization.
4529 
4530    Collective on Mat
4531 
4532    Input Parameters:
4533 +  mat - the matrix
4534 .  row - row permutation
4535 .  column - column permutation
4536 -  info - structure containing
4537 $      levels - number of levels of fill.
4538 $      expected fill - as ratio of original fill.
4539 $      1 or 0 - indicating force fill on diagonal (improves robustness for matrices
4540                 missing diagonal entries)
4541 
4542    Output Parameters:
4543 .  fact - new matrix that has been symbolically factored
4544 
4545    Notes:
4546    See the users manual for additional information about
4547    choosing the fill factor for better efficiency.
4548 
4549    Most users should employ the simplified KSP interface for linear solvers
4550    instead of working directly with matrix algebra routines such as this.
4551    See, e.g., KSPCreate().
4552 
4553    Level: developer
4554 
4555   Concepts: matrices^symbolic LU factorization
4556   Concepts: matrices^factorization
4557   Concepts: LU^symbolic factorization
4558 
4559 .seealso: MatLUFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor()
4560           MatGetOrdering(), MatFactorInfo
4561 
4562 @*/
4563 PetscErrorCode PETSCMAT_DLLEXPORT MatILUFactorSymbolic(Mat mat,IS row,IS col,MatFactorInfo *info,Mat *fact)
4564 {
4565   PetscErrorCode ierr;
4566 
4567   PetscFunctionBegin;
4568   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4569   PetscValidType(mat,1);
4570   PetscValidHeaderSpecific(row,IS_COOKIE,2);
4571   PetscValidHeaderSpecific(col,IS_COOKIE,3);
4572   PetscValidPointer(info,4);
4573   PetscValidPointer(fact,5);
4574   if (info->levels < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Levels of fill negative %D",(PetscInt)info->levels);
4575   if (info->fill < 1.0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Expected fill less than 1.0 %G",info->fill);
4576   if (!mat->ops->ilufactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic ILU",mat->type_name);
4577   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4578   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4579   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4580 
4581   ierr = PetscLogEventBegin(MAT_ILUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
4582   ierr = (*mat->ops->ilufactorsymbolic)(mat,row,col,info,fact);CHKERRQ(ierr);
4583   ierr = PetscLogEventEnd(MAT_ILUFactorSymbolic,mat,row,col,0);CHKERRQ(ierr);
4584   PetscFunctionReturn(0);
4585 }
4586 
4587 #undef __FUNCT__
4588 #define __FUNCT__ "MatICCFactorSymbolic"
4589 /*@
4590    MatICCFactorSymbolic - Performs symbolic incomplete
4591    Cholesky factorization for a symmetric matrix.  Use
4592    MatCholeskyFactorNumeric() to complete the factorization.
4593 
4594    Collective on Mat
4595 
4596    Input Parameters:
4597 +  mat - the matrix
4598 .  perm - row and column permutation
4599 -  info - structure containing
4600 $      levels - number of levels of fill.
4601 $      expected fill - as ratio of original fill.
4602 
4603    Output Parameter:
4604 .  fact - the factored matrix
4605 
4606    Notes:
4607    Currently only no-fill factorization is supported.
4608 
4609    Most users should employ the simplified KSP interface for linear solvers
4610    instead of working directly with matrix algebra routines such as this.
4611    See, e.g., KSPCreate().
4612 
4613    Level: developer
4614 
4615   Concepts: matrices^symbolic incomplete Cholesky factorization
4616   Concepts: matrices^factorization
4617   Concepts: Cholsky^symbolic factorization
4618 
4619 .seealso: MatCholeskyFactorNumeric(), MatCholeskyFactor(), MatFactorInfo
4620 @*/
4621 PetscErrorCode PETSCMAT_DLLEXPORT MatICCFactorSymbolic(Mat mat,IS perm,MatFactorInfo *info,Mat *fact)
4622 {
4623   PetscErrorCode ierr;
4624 
4625   PetscFunctionBegin;
4626   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4627   PetscValidType(mat,1);
4628   PetscValidHeaderSpecific(perm,IS_COOKIE,2);
4629   PetscValidPointer(info,3);
4630   PetscValidPointer(fact,4);
4631   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4632   if (info->levels < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Levels negative %D",(PetscInt) info->levels);
4633   if (info->fill < 1.0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Expected fill less than 1.0 %G",info->fill);
4634   if (!mat->ops->iccfactorsymbolic) SETERRQ1(PETSC_ERR_SUP,"Matrix type %s  symbolic ICC",mat->type_name);
4635   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4636   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4637 
4638   ierr = PetscLogEventBegin(MAT_ICCFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
4639   ierr = (*mat->ops->iccfactorsymbolic)(mat,perm,info,fact);CHKERRQ(ierr);
4640   ierr = PetscLogEventEnd(MAT_ICCFactorSymbolic,mat,perm,0,0);CHKERRQ(ierr);
4641   PetscFunctionReturn(0);
4642 }
4643 
4644 #undef __FUNCT__
4645 #define __FUNCT__ "MatGetArray"
4646 /*@C
4647    MatGetArray - Returns a pointer to the element values in the matrix.
4648    The result of this routine is dependent on the underlying matrix data
4649    structure, and may not even work for certain matrix types.  You MUST
4650    call MatRestoreArray() when you no longer need to access the array.
4651 
4652    Not Collective
4653 
4654    Input Parameter:
4655 .  mat - the matrix
4656 
4657    Output Parameter:
4658 .  v - the location of the values
4659 
4660 
4661    Fortran Note:
4662    This routine is used differently from Fortran, e.g.,
4663 .vb
4664         Mat         mat
4665         PetscScalar mat_array(1)
4666         PetscOffset i_mat
4667         PetscErrorCode ierr
4668         call MatGetArray(mat,mat_array,i_mat,ierr)
4669 
4670   C  Access first local entry in matrix; note that array is
4671   C  treated as one dimensional
4672         value = mat_array(i_mat + 1)
4673 
4674         [... other code ...]
4675         call MatRestoreArray(mat,mat_array,i_mat,ierr)
4676 .ve
4677 
4678    See the Fortran chapter of the users manual and
4679    petsc/src/mat/examples/tests for details.
4680 
4681    Level: advanced
4682 
4683    Concepts: matrices^access array
4684 
4685 .seealso: MatRestoreArray(), MatGetArrayF90()
4686 @*/
4687 PetscErrorCode PETSCMAT_DLLEXPORT MatGetArray(Mat mat,PetscScalar *v[])
4688 {
4689   PetscErrorCode ierr;
4690 
4691   PetscFunctionBegin;
4692   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4693   PetscValidType(mat,1);
4694   PetscValidPointer(v,2);
4695   if (!mat->ops->getarray) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
4696   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4697   ierr = (*mat->ops->getarray)(mat,v);CHKERRQ(ierr);
4698   PetscFunctionReturn(0);
4699 }
4700 
4701 #undef __FUNCT__
4702 #define __FUNCT__ "MatRestoreArray"
4703 /*@C
4704    MatRestoreArray - Restores the matrix after MatGetArray() has been called.
4705 
4706    Not Collective
4707 
4708    Input Parameter:
4709 +  mat - the matrix
4710 -  v - the location of the values
4711 
4712    Fortran Note:
4713    This routine is used differently from Fortran, e.g.,
4714 .vb
4715         Mat         mat
4716         PetscScalar mat_array(1)
4717         PetscOffset i_mat
4718         PetscErrorCode ierr
4719         call MatGetArray(mat,mat_array,i_mat,ierr)
4720 
4721   C  Access first local entry in matrix; note that array is
4722   C  treated as one dimensional
4723         value = mat_array(i_mat + 1)
4724 
4725         [... other code ...]
4726         call MatRestoreArray(mat,mat_array,i_mat,ierr)
4727 .ve
4728 
4729    See the Fortran chapter of the users manual and
4730    petsc/src/mat/examples/tests for details
4731 
4732    Level: advanced
4733 
4734 .seealso: MatGetArray(), MatRestoreArrayF90()
4735 @*/
4736 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreArray(Mat mat,PetscScalar *v[])
4737 {
4738   PetscErrorCode ierr;
4739 
4740   PetscFunctionBegin;
4741   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4742   PetscValidType(mat,1);
4743   PetscValidPointer(v,2);
4744 #if defined(PETSC_USE_DEBUG)
4745   CHKMEMQ;
4746 #endif
4747   if (!mat->ops->restorearray) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
4748   ierr = (*mat->ops->restorearray)(mat,v);CHKERRQ(ierr);
4749   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
4750   PetscFunctionReturn(0);
4751 }
4752 
4753 #undef __FUNCT__
4754 #define __FUNCT__ "MatGetSubMatrices"
4755 /*@C
4756    MatGetSubMatrices - Extracts several submatrices from a matrix. If submat
4757    points to an array of valid matrices, they may be reused to store the new
4758    submatrices.
4759 
4760    Collective on Mat
4761 
4762    Input Parameters:
4763 +  mat - the matrix
4764 .  n   - the number of submatrixes to be extracted (on this processor, may be zero)
4765 .  irow, icol - index sets of rows and columns to extract
4766 -  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
4767 
4768    Output Parameter:
4769 .  submat - the array of submatrices
4770 
4771    Notes:
4772    MatGetSubMatrices() can extract only sequential submatrices
4773    (from both sequential and parallel matrices). Use MatGetSubMatrix()
4774    to extract a parallel submatrix.
4775 
4776    When extracting submatrices from a parallel matrix, each processor can
4777    form a different submatrix by setting the rows and columns of its
4778    individual index sets according to the local submatrix desired.
4779 
4780    When finished using the submatrices, the user should destroy
4781    them with MatDestroyMatrices().
4782 
4783    MAT_REUSE_MATRIX can only be used when the nonzero structure of the
4784    original matrix has not changed from that last call to MatGetSubMatrices().
4785 
4786    This routine creates the matrices in submat; you should NOT create them before
4787    calling it. It also allocates the array of matrix pointers submat.
4788 
4789    For BAIJ matrices the index sets must respect the block structure, that is if they
4790    request one row/column in a block, they must request all rows/columns that are in
4791    that block. For example, if the block size is 2 you cannot request just row 0 and
4792    column 0.
4793 
4794    Fortran Note:
4795    The Fortran interface is slightly different from that given below; it
4796    requires one to pass in  as submat a Mat (integer) array of size at least m.
4797 
4798    Level: advanced
4799 
4800    Concepts: matrices^accessing submatrices
4801    Concepts: submatrices
4802 
4803 .seealso: MatDestroyMatrices(), MatGetSubMatrix(), MatGetRow(), MatGetDiagonal()
4804 @*/
4805 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[])
4806 {
4807   PetscErrorCode ierr;
4808   PetscInt        i;
4809   PetscTruth      eq;
4810 
4811   PetscFunctionBegin;
4812   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4813   PetscValidType(mat,1);
4814   if (n) {
4815     PetscValidPointer(irow,3);
4816     PetscValidHeaderSpecific(*irow,IS_COOKIE,3);
4817     PetscValidPointer(icol,4);
4818     PetscValidHeaderSpecific(*icol,IS_COOKIE,4);
4819   }
4820   PetscValidPointer(submat,6);
4821   if (n && scall == MAT_REUSE_MATRIX) {
4822     PetscValidPointer(*submat,6);
4823     PetscValidHeaderSpecific(**submat,MAT_COOKIE,6);
4824   }
4825   if (!mat->ops->getsubmatrices) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
4826   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4827   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4828   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4829 
4830   ierr = PetscLogEventBegin(MAT_GetSubMatrices,mat,0,0,0);CHKERRQ(ierr);
4831   ierr = (*mat->ops->getsubmatrices)(mat,n,irow,icol,scall,submat);CHKERRQ(ierr);
4832   ierr = PetscLogEventEnd(MAT_GetSubMatrices,mat,0,0,0);CHKERRQ(ierr);
4833   for (i=0; i<n; i++) {
4834     if (mat->symmetric || mat->structurally_symmetric || mat->hermitian) {
4835       ierr = ISEqual(irow[i],icol[i],&eq);CHKERRQ(ierr);
4836       if (eq) {
4837 	if (mat->symmetric){
4838 	  ierr = MatSetOption((*submat)[i],MAT_SYMMETRIC);CHKERRQ(ierr);
4839 	} else if (mat->hermitian) {
4840 	  ierr = MatSetOption((*submat)[i],MAT_HERMITIAN);CHKERRQ(ierr);
4841 	} else if (mat->structurally_symmetric) {
4842 	  ierr = MatSetOption((*submat)[i],MAT_STRUCTURALLY_SYMMETRIC);CHKERRQ(ierr);
4843 	}
4844       }
4845     }
4846   }
4847   PetscFunctionReturn(0);
4848 }
4849 
4850 #undef __FUNCT__
4851 #define __FUNCT__ "MatDestroyMatrices"
4852 /*@C
4853    MatDestroyMatrices - Destroys a set of matrices obtained with MatGetSubMatrices().
4854 
4855    Collective on Mat
4856 
4857    Input Parameters:
4858 +  n - the number of local matrices
4859 -  mat - the matrices (note that this is a pointer to the array of matrices, just to match the calling
4860                        sequence of MatGetSubMatrices())
4861 
4862    Level: advanced
4863 
4864     Notes: Frees not only the matrices, but also the array that contains the matrices
4865 
4866 .seealso: MatGetSubMatrices()
4867 @*/
4868 PetscErrorCode PETSCMAT_DLLEXPORT MatDestroyMatrices(PetscInt n,Mat *mat[])
4869 {
4870   PetscErrorCode ierr;
4871   PetscInt       i;
4872 
4873   PetscFunctionBegin;
4874   if (n < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Trying to destroy negative number of matrices %D",n);
4875   PetscValidPointer(mat,2);
4876   for (i=0; i<n; i++) {
4877     ierr = MatDestroy((*mat)[i]);CHKERRQ(ierr);
4878   }
4879   /* memory is allocated even if n = 0 */
4880   ierr = PetscFree(*mat);CHKERRQ(ierr);
4881   PetscFunctionReturn(0);
4882 }
4883 
4884 #undef __FUNCT__
4885 #define __FUNCT__ "MatIncreaseOverlap"
4886 /*@
4887    MatIncreaseOverlap - Given a set of submatrices indicated by index sets,
4888    replaces the index sets by larger ones that represent submatrices with
4889    additional overlap.
4890 
4891    Collective on Mat
4892 
4893    Input Parameters:
4894 +  mat - the matrix
4895 .  n   - the number of index sets
4896 .  is  - the array of index sets (these index sets will changed during the call)
4897 -  ov  - the additional overlap requested
4898 
4899    Level: developer
4900 
4901    Concepts: overlap
4902    Concepts: ASM^computing overlap
4903 
4904 .seealso: MatGetSubMatrices()
4905 @*/
4906 PetscErrorCode PETSCMAT_DLLEXPORT MatIncreaseOverlap(Mat mat,PetscInt n,IS is[],PetscInt ov)
4907 {
4908   PetscErrorCode ierr;
4909 
4910   PetscFunctionBegin;
4911   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4912   PetscValidType(mat,1);
4913   if (n < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Must have one or more domains, you have %D",n);
4914   if (n) {
4915     PetscValidPointer(is,3);
4916     PetscValidHeaderSpecific(*is,IS_COOKIE,3);
4917   }
4918   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
4919   if (mat->factor)     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4920   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4921 
4922   if (!ov) PetscFunctionReturn(0);
4923   if (!mat->ops->increaseoverlap) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
4924   ierr = PetscLogEventBegin(MAT_IncreaseOverlap,mat,0,0,0);CHKERRQ(ierr);
4925   ierr = (*mat->ops->increaseoverlap)(mat,n,is,ov);CHKERRQ(ierr);
4926   ierr = PetscLogEventEnd(MAT_IncreaseOverlap,mat,0,0,0);CHKERRQ(ierr);
4927   PetscFunctionReturn(0);
4928 }
4929 
4930 #undef __FUNCT__
4931 #define __FUNCT__ "MatPrintHelp"
4932 /*@
4933    MatPrintHelp - Prints all the options for the matrix.
4934 
4935    Collective on Mat
4936 
4937    Input Parameter:
4938 .  mat - the matrix
4939 
4940    Options Database Keys:
4941 +  -help - Prints matrix options
4942 -  -h - Prints matrix options
4943 
4944    Level: developer
4945 
4946 .seealso: MatCreate(), MatCreateXXX()
4947 @*/
4948 PetscErrorCode PETSCMAT_DLLEXPORT MatPrintHelp(Mat mat)
4949 {
4950   static PetscTruth called = PETSC_FALSE;
4951   PetscErrorCode    ierr;
4952 
4953   PetscFunctionBegin;
4954   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4955   PetscValidType(mat,1);
4956   ierr = MatPreallocated(mat);CHKERRQ(ierr);
4957 
4958   if (!called) {
4959     if (mat->ops->printhelp) {
4960       ierr = (*mat->ops->printhelp)(mat);CHKERRQ(ierr);
4961     }
4962     called = PETSC_TRUE;
4963   }
4964   PetscFunctionReturn(0);
4965 }
4966 
4967 #undef __FUNCT__
4968 #define __FUNCT__ "MatGetBlockSize"
4969 /*@
4970    MatGetBlockSize - Returns the matrix block size; useful especially for the
4971    block row and block diagonal formats.
4972 
4973    Not Collective
4974 
4975    Input Parameter:
4976 .  mat - the matrix
4977 
4978    Output Parameter:
4979 .  bs - block size
4980 
4981    Notes:
4982    Block diagonal formats are MATSEQBDIAG, MATMPIBDIAG.
4983    Block row formats are MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ
4984 
4985    Level: intermediate
4986 
4987    Concepts: matrices^block size
4988 
4989 .seealso: MatCreateSeqBAIJ(), MatCreateMPIBAIJ(), MatCreateSeqBDiag(), MatCreateMPIBDiag()
4990 @*/
4991 PetscErrorCode PETSCMAT_DLLEXPORT MatGetBlockSize(Mat mat,PetscInt *bs)
4992 {
4993   PetscErrorCode ierr;
4994 
4995   PetscFunctionBegin;
4996   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
4997   PetscValidType(mat,1);
4998   PetscValidIntPointer(bs,2);
4999   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5000   *bs = mat->bs;
5001   PetscFunctionReturn(0);
5002 }
5003 
5004 #undef __FUNCT__
5005 #define __FUNCT__ "MatSetBlockSize"
5006 /*@
5007    MatSetBlockSize - Sets the matrix block size; for many matrix types you
5008      cannot use this and MUST set the blocksize when you preallocate the matrix
5009 
5010    Not Collective
5011 
5012    Input Parameters:
5013 +  mat - the matrix
5014 -  bs - block size
5015 
5016    Notes:
5017      Only works for shell and AIJ matrices
5018 
5019    Level: intermediate
5020 
5021    Concepts: matrices^block size
5022 
5023 .seealso: MatCreateSeqBAIJ(), MatCreateMPIBAIJ(), MatCreateSeqBDiag(), MatCreateMPIBDiag(), MatGetBlockSize()
5024 @*/
5025 PetscErrorCode PETSCMAT_DLLEXPORT MatSetBlockSize(Mat mat,PetscInt bs)
5026 {
5027   PetscErrorCode ierr;
5028 
5029   PetscFunctionBegin;
5030   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5031   PetscValidType(mat,1);
5032   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5033   if (mat->ops->setblocksize) {
5034     mat->bs = bs;
5035     ierr = (*mat->ops->setblocksize)(mat,bs);CHKERRQ(ierr);
5036   } else {
5037     SETERRQ1(PETSC_ERR_ARG_INCOMP,"Cannot set the blocksize for matrix type %s",mat->type_name);
5038   }
5039   PetscFunctionReturn(0);
5040 }
5041 
5042 #undef __FUNCT__
5043 #define __FUNCT__ "MatGetRowIJ"
5044 /*@C
5045     MatGetRowIJ - Returns the compressed row storage i and j indices for sequential matrices.
5046 
5047    Collective on Mat
5048 
5049     Input Parameters:
5050 +   mat - the matrix
5051 .   shift -  0 or 1 indicating we want the indices starting at 0 or 1
5052 -   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
5053                 symmetrized
5054 
5055     Output Parameters:
5056 +   n - number of rows in the (possibly compressed) matrix
5057 .   ia - the row pointers
5058 .   ja - the column indices
5059 -   done - indicates if the routine actually worked and returned appropriate ia[] and ja[] arrays; callers
5060            are responsible for handling the case when done == PETSC_FALSE and ia and ja are not set
5061 
5062     Level: developer
5063 
5064     Notes: You CANNOT change any of the ia[] or ja[] values.
5065 
5066            Use MatRestoreRowIJ() when you are finished accessing the ia[] and ja[] values
5067 
5068 .seealso: MatGetColumnIJ(), MatRestoreRowIJ()
5069 @*/
5070 PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
5071 {
5072   PetscErrorCode ierr;
5073 
5074   PetscFunctionBegin;
5075   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5076   PetscValidType(mat,1);
5077   PetscValidIntPointer(n,4);
5078   if (ia) PetscValidIntPointer(ia,5);
5079   if (ja) PetscValidIntPointer(ja,6);
5080   PetscValidIntPointer(done,7);
5081   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5082   if (!mat->ops->getrowij) *done = PETSC_FALSE;
5083   else {
5084     *done = PETSC_TRUE;
5085     ierr  = (*mat->ops->getrowij)(mat,shift,symmetric,n,ia,ja,done);CHKERRQ(ierr);
5086   }
5087   PetscFunctionReturn(0);
5088 }
5089 
5090 #undef __FUNCT__
5091 #define __FUNCT__ "MatGetColumnIJ"
5092 /*@C
5093     MatGetColumnIJ - Returns the compressed column storage i and j indices for sequential matrices.
5094 
5095     Collective on Mat
5096 
5097     Input Parameters:
5098 +   mat - the matrix
5099 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
5100 -   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
5101                 symmetrized
5102 
5103     Output Parameters:
5104 +   n - number of columns in the (possibly compressed) matrix
5105 .   ia - the column pointers
5106 .   ja - the row indices
5107 -   done - PETSC_TRUE or PETSC_FALSE, indicating whether the values have been returned
5108 
5109     Level: developer
5110 
5111 .seealso: MatGetRowIJ(), MatRestoreColumnIJ()
5112 @*/
5113 PetscErrorCode PETSCMAT_DLLEXPORT MatGetColumnIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
5114 {
5115   PetscErrorCode ierr;
5116 
5117   PetscFunctionBegin;
5118   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5119   PetscValidType(mat,1);
5120   PetscValidIntPointer(n,4);
5121   if (ia) PetscValidIntPointer(ia,5);
5122   if (ja) PetscValidIntPointer(ja,6);
5123   PetscValidIntPointer(done,7);
5124   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5125   if (!mat->ops->getcolumnij) *done = PETSC_FALSE;
5126   else {
5127     *done = PETSC_TRUE;
5128     ierr  = (*mat->ops->getcolumnij)(mat,shift,symmetric,n,ia,ja,done);CHKERRQ(ierr);
5129   }
5130   PetscFunctionReturn(0);
5131 }
5132 
5133 #undef __FUNCT__
5134 #define __FUNCT__ "MatRestoreRowIJ"
5135 /*@C
5136     MatRestoreRowIJ - Call after you are completed with the ia,ja indices obtained with
5137     MatGetRowIJ().
5138 
5139     Collective on Mat
5140 
5141     Input Parameters:
5142 +   mat - the matrix
5143 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
5144 -   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
5145                 symmetrized
5146 
5147     Output Parameters:
5148 +   n - size of (possibly compressed) matrix
5149 .   ia - the row pointers
5150 .   ja - the column indices
5151 -   done - PETSC_TRUE or PETSC_FALSE indicated that the values have been returned
5152 
5153     Level: developer
5154 
5155 .seealso: MatGetRowIJ(), MatRestoreColumnIJ()
5156 @*/
5157 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRowIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
5158 {
5159   PetscErrorCode ierr;
5160 
5161   PetscFunctionBegin;
5162   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5163   PetscValidType(mat,1);
5164   if (ia) PetscValidIntPointer(ia,5);
5165   if (ja) PetscValidIntPointer(ja,6);
5166   PetscValidIntPointer(done,7);
5167   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5168 
5169   if (!mat->ops->restorerowij) *done = PETSC_FALSE;
5170   else {
5171     *done = PETSC_TRUE;
5172     ierr  = (*mat->ops->restorerowij)(mat,shift,symmetric,n,ia,ja,done);CHKERRQ(ierr);
5173   }
5174   PetscFunctionReturn(0);
5175 }
5176 
5177 #undef __FUNCT__
5178 #define __FUNCT__ "MatRestoreColumnIJ"
5179 /*@C
5180     MatRestoreColumnIJ - Call after you are completed with the ia,ja indices obtained with
5181     MatGetColumnIJ().
5182 
5183     Collective on Mat
5184 
5185     Input Parameters:
5186 +   mat - the matrix
5187 .   shift - 1 or zero indicating we want the indices starting at 0 or 1
5188 -   symmetric - PETSC_TRUE or PETSC_FALSE indicating the matrix data structure should be
5189                 symmetrized
5190 
5191     Output Parameters:
5192 +   n - size of (possibly compressed) matrix
5193 .   ia - the column pointers
5194 .   ja - the row indices
5195 -   done - PETSC_TRUE or PETSC_FALSE indicated that the values have been returned
5196 
5197     Level: developer
5198 
5199 .seealso: MatGetColumnIJ(), MatRestoreRowIJ()
5200 @*/
5201 PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreColumnIJ(Mat mat,PetscInt shift,PetscTruth symmetric,PetscInt *n,PetscInt *ia[],PetscInt* ja[],PetscTruth *done)
5202 {
5203   PetscErrorCode ierr;
5204 
5205   PetscFunctionBegin;
5206   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5207   PetscValidType(mat,1);
5208   if (ia) PetscValidIntPointer(ia,5);
5209   if (ja) PetscValidIntPointer(ja,6);
5210   PetscValidIntPointer(done,7);
5211   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5212 
5213   if (!mat->ops->restorecolumnij) *done = PETSC_FALSE;
5214   else {
5215     *done = PETSC_TRUE;
5216     ierr  = (*mat->ops->restorecolumnij)(mat,shift,symmetric,n,ia,ja,done);CHKERRQ(ierr);
5217   }
5218   PetscFunctionReturn(0);
5219 }
5220 
5221 #undef __FUNCT__
5222 #define __FUNCT__ "MatColoringPatch"
5223 /*@C
5224     MatColoringPatch -Used inside matrix coloring routines that
5225     use MatGetRowIJ() and/or MatGetColumnIJ().
5226 
5227     Collective on Mat
5228 
5229     Input Parameters:
5230 +   mat - the matrix
5231 .   n   - number of colors
5232 .   ncolors - max color value
5233 -   colorarray - array indicating color for each column
5234 
5235     Output Parameters:
5236 .   iscoloring - coloring generated using colorarray information
5237 
5238     Level: developer
5239 
5240 .seealso: MatGetRowIJ(), MatGetColumnIJ()
5241 
5242 @*/
5243 PetscErrorCode PETSCMAT_DLLEXPORT MatColoringPatch(Mat mat,PetscInt n,PetscInt ncolors,ISColoringValue colorarray[],ISColoring *iscoloring)
5244 {
5245   PetscErrorCode ierr;
5246 
5247   PetscFunctionBegin;
5248   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5249   PetscValidType(mat,1);
5250   PetscValidIntPointer(colorarray,4);
5251   PetscValidPointer(iscoloring,5);
5252   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5253 
5254   if (!mat->ops->coloringpatch){
5255     ierr = ISColoringCreate(mat->comm,n,ncolors,colorarray,iscoloring);CHKERRQ(ierr);
5256   } else {
5257     ierr = (*mat->ops->coloringpatch)(mat,n,ncolors,colorarray,iscoloring);CHKERRQ(ierr);
5258   }
5259   PetscFunctionReturn(0);
5260 }
5261 
5262 
5263 #undef __FUNCT__
5264 #define __FUNCT__ "MatSetUnfactored"
5265 /*@
5266    MatSetUnfactored - Resets a factored matrix to be treated as unfactored.
5267 
5268    Collective on Mat
5269 
5270    Input Parameter:
5271 .  mat - the factored matrix to be reset
5272 
5273    Notes:
5274    This routine should be used only with factored matrices formed by in-place
5275    factorization via ILU(0) (or by in-place LU factorization for the MATSEQDENSE
5276    format).  This option can save memory, for example, when solving nonlinear
5277    systems with a matrix-free Newton-Krylov method and a matrix-based, in-place
5278    ILU(0) preconditioner.
5279 
5280    Note that one can specify in-place ILU(0) factorization by calling
5281 .vb
5282      PCType(pc,PCILU);
5283      PCFactorSeUseInPlace(pc);
5284 .ve
5285    or by using the options -pc_type ilu -pc_factor_in_place
5286 
5287    In-place factorization ILU(0) can also be used as a local
5288    solver for the blocks within the block Jacobi or additive Schwarz
5289    methods (runtime option: -sub_pc_factor_in_place).  See the discussion
5290    of these preconditioners in the users manual for details on setting
5291    local solver options.
5292 
5293    Most users should employ the simplified KSP interface for linear solvers
5294    instead of working directly with matrix algebra routines such as this.
5295    See, e.g., KSPCreate().
5296 
5297    Level: developer
5298 
5299 .seealso: PCFactorSetUseInPlace()
5300 
5301    Concepts: matrices^unfactored
5302 
5303 @*/
5304 PetscErrorCode PETSCMAT_DLLEXPORT MatSetUnfactored(Mat mat)
5305 {
5306   PetscErrorCode ierr;
5307 
5308   PetscFunctionBegin;
5309   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5310   PetscValidType(mat,1);
5311   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5312   mat->factor = 0;
5313   if (!mat->ops->setunfactored) PetscFunctionReturn(0);
5314   ierr = (*mat->ops->setunfactored)(mat);CHKERRQ(ierr);
5315   PetscFunctionReturn(0);
5316 }
5317 
5318 /*MC
5319     MatGetArrayF90 - Accesses a matrix array from Fortran90.
5320 
5321     Synopsis:
5322     MatGetArrayF90(Mat x,{Scalar, pointer :: xx_v(:)},integer ierr)
5323 
5324     Not collective
5325 
5326     Input Parameter:
5327 .   x - matrix
5328 
5329     Output Parameters:
5330 +   xx_v - the Fortran90 pointer to the array
5331 -   ierr - error code
5332 
5333     Example of Usage:
5334 .vb
5335       PetscScalar, pointer xx_v(:)
5336       ....
5337       call MatGetArrayF90(x,xx_v,ierr)
5338       a = xx_v(3)
5339       call MatRestoreArrayF90(x,xx_v,ierr)
5340 .ve
5341 
5342     Notes:
5343     Not yet supported for all F90 compilers
5344 
5345     Level: advanced
5346 
5347 .seealso:  MatRestoreArrayF90(), MatGetArray(), MatRestoreArray()
5348 
5349     Concepts: matrices^accessing array
5350 
5351 M*/
5352 
5353 /*MC
5354     MatRestoreArrayF90 - Restores a matrix array that has been
5355     accessed with MatGetArrayF90().
5356 
5357     Synopsis:
5358     MatRestoreArrayF90(Mat x,{Scalar, pointer :: xx_v(:)},integer ierr)
5359 
5360     Not collective
5361 
5362     Input Parameters:
5363 +   x - matrix
5364 -   xx_v - the Fortran90 pointer to the array
5365 
5366     Output Parameter:
5367 .   ierr - error code
5368 
5369     Example of Usage:
5370 .vb
5371        PetscScalar, pointer xx_v(:)
5372        ....
5373        call MatGetArrayF90(x,xx_v,ierr)
5374        a = xx_v(3)
5375        call MatRestoreArrayF90(x,xx_v,ierr)
5376 .ve
5377 
5378     Notes:
5379     Not yet supported for all F90 compilers
5380 
5381     Level: advanced
5382 
5383 .seealso:  MatGetArrayF90(), MatGetArray(), MatRestoreArray()
5384 
5385 M*/
5386 
5387 
5388 #undef __FUNCT__
5389 #define __FUNCT__ "MatGetSubMatrix"
5390 /*@
5391     MatGetSubMatrix - Gets a single submatrix on the same number of processors
5392                       as the original matrix.
5393 
5394     Collective on Mat
5395 
5396     Input Parameters:
5397 +   mat - the original matrix
5398 .   isrow - rows this processor should obtain
5399 .   iscol - columns for all processors you wish to keep
5400 .   csize - number of columns "local" to this processor (does nothing for sequential
5401             matrices). This should match the result from VecGetLocalSize(x,...) if you
5402             plan to use the matrix in a A*x; alternatively, you can use PETSC_DECIDE
5403 -   cll - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
5404 
5405     Output Parameter:
5406 .   newmat - the new submatrix, of the same type as the old
5407 
5408     Level: advanced
5409 
5410     Notes: the iscol argument MUST be the same on each processor. You might be
5411     able to create the iscol argument with ISAllGather().
5412 
5413       The first time this is called you should use a cll of MAT_INITIAL_MATRIX,
5414    the MatGetSubMatrix() routine will create the newmat for you. Any additional calls
5415    to this routine with a mat of the same nonzero structure and with a cll of MAT_REUSE_MATRIX
5416    will reuse the matrix generated the first time.
5417 
5418     Concepts: matrices^submatrices
5419 
5420 .seealso: MatGetSubMatrices(), ISAllGather()
5421 @*/
5422 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrix(Mat mat,IS isrow,IS iscol,PetscInt csize,MatReuse cll,Mat *newmat)
5423 {
5424   PetscErrorCode ierr;
5425   PetscMPIInt    size;
5426   Mat            *local;
5427 
5428   PetscFunctionBegin;
5429   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5430   PetscValidHeaderSpecific(isrow,IS_COOKIE,2);
5431   PetscValidHeaderSpecific(iscol,IS_COOKIE,3);
5432   PetscValidPointer(newmat,6);
5433   if (cll == MAT_REUSE_MATRIX) PetscValidHeaderSpecific(*newmat,MAT_COOKIE,6);
5434   PetscValidType(mat,1);
5435   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5436   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5437   ierr = MPI_Comm_size(mat->comm,&size);CHKERRQ(ierr);
5438 
5439   /* if original matrix is on just one processor then use submatrix generated */
5440   if (!mat->ops->getsubmatrix && size == 1 && cll == MAT_REUSE_MATRIX) {
5441     ierr = MatGetSubMatrices(mat,1,&isrow,&iscol,MAT_REUSE_MATRIX,&newmat);CHKERRQ(ierr);
5442     PetscFunctionReturn(0);
5443   } else if (!mat->ops->getsubmatrix && size == 1) {
5444     ierr    = MatGetSubMatrices(mat,1,&isrow,&iscol,MAT_INITIAL_MATRIX,&local);CHKERRQ(ierr);
5445     *newmat = *local;
5446     ierr    = PetscFree(local);CHKERRQ(ierr);
5447     PetscFunctionReturn(0);
5448   }
5449 
5450   if (!mat->ops->getsubmatrix) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
5451   ierr = (*mat->ops->getsubmatrix)(mat,isrow,iscol,csize,cll,newmat);CHKERRQ(ierr);
5452   ierr = PetscObjectStateIncrease((PetscObject)*newmat);CHKERRQ(ierr);
5453   PetscFunctionReturn(0);
5454 }
5455 
5456 #undef __FUNCT__
5457 #define __FUNCT__ "MatGetSubMatrixRaw"
5458 /*@
5459     MatGetSubMatrixRaw - Gets a single submatrix on the same number of processors
5460                          as the original matrix.
5461 
5462     Collective on Mat
5463 
5464     Input Parameters:
5465 +   mat - the original matrix
5466 .   nrows - the number of rows this processor should obtain
5467 .   rows - rows this processor should obtain
5468 .   ncols - the number of columns for all processors you wish to keep
5469 .   cols - columns for all processors you wish to keep
5470 .   csize - number of columns "local" to this processor (does nothing for sequential
5471             matrices). This should match the result from VecGetLocalSize(x,...) if you
5472             plan to use the matrix in a A*x; alternatively, you can use PETSC_DECIDE
5473 -   cll - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
5474 
5475     Output Parameter:
5476 .   newmat - the new submatrix, of the same type as the old
5477 
5478     Level: advanced
5479 
5480     Notes: the iscol argument MUST be the same on each processor. You might be
5481     able to create the iscol argument with ISAllGather().
5482 
5483       The first time this is called you should use a cll of MAT_INITIAL_MATRIX,
5484    the MatGetSubMatrix() routine will create the newmat for you. Any additional calls
5485    to this routine with a mat of the same nonzero structure and with a cll of MAT_REUSE_MATRIX
5486    will reuse the matrix generated the first time.
5487 
5488     Concepts: matrices^submatrices
5489 
5490 .seealso: MatGetSubMatrices(), ISAllGather()
5491 @*/
5492 PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrixRaw(Mat mat,PetscInt nrows,const PetscInt rows[],PetscInt ncols,const PetscInt cols[],PetscInt csize,MatReuse cll,Mat *newmat)
5493 {
5494   IS             isrow, iscol;
5495   PetscErrorCode ierr;
5496 
5497   PetscFunctionBegin;
5498   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5499   PetscValidIntPointer(rows,2);
5500   PetscValidIntPointer(cols,3);
5501   PetscValidPointer(newmat,6);
5502   if (cll == MAT_REUSE_MATRIX) PetscValidHeaderSpecific(*newmat,MAT_COOKIE,6);
5503   PetscValidType(mat,1);
5504   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5505   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5506   ierr = ISCreateGeneralWithArray(PETSC_COMM_SELF, nrows, (PetscInt *) rows, &isrow);CHKERRQ(ierr);
5507   ierr = ISCreateGeneralWithArray(PETSC_COMM_SELF, ncols, (PetscInt *) cols, &iscol);CHKERRQ(ierr);
5508   ierr = MatGetSubMatrix(mat, isrow, iscol, csize, cll, newmat);CHKERRQ(ierr);
5509   ierr = ISDestroy(isrow);CHKERRQ(ierr);
5510   ierr = ISDestroy(iscol);CHKERRQ(ierr);
5511   PetscFunctionReturn(0);
5512 }
5513 
5514 #undef __FUNCT__
5515 #define __FUNCT__ "MatStashSetInitialSize"
5516 /*@
5517    MatStashSetInitialSize - sets the sizes of the matrix stash, that is
5518    used during the assembly process to store values that belong to
5519    other processors.
5520 
5521    Not Collective
5522 
5523    Input Parameters:
5524 +  mat   - the matrix
5525 .  size  - the initial size of the stash.
5526 -  bsize - the initial size of the block-stash(if used).
5527 
5528    Options Database Keys:
5529 +   -matstash_initial_size <size> or <size0,size1,...sizep-1>
5530 -   -matstash_block_initial_size <bsize>  or <bsize0,bsize1,...bsizep-1>
5531 
5532    Level: intermediate
5533 
5534    Notes:
5535      The block-stash is used for values set with MatSetValuesBlocked() while
5536      the stash is used for values set with MatSetValues()
5537 
5538      Run with the option -info and look for output of the form
5539      MatAssemblyBegin_MPIXXX:Stash has MM entries, uses nn mallocs.
5540      to determine the appropriate value, MM, to use for size and
5541      MatAssemblyBegin_MPIXXX:Block-Stash has BMM entries, uses nn mallocs.
5542      to determine the value, BMM to use for bsize
5543 
5544    Concepts: stash^setting matrix size
5545    Concepts: matrices^stash
5546 
5547 @*/
5548 PetscErrorCode PETSCMAT_DLLEXPORT MatStashSetInitialSize(Mat mat,PetscInt size, PetscInt bsize)
5549 {
5550   PetscErrorCode ierr;
5551 
5552   PetscFunctionBegin;
5553   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5554   PetscValidType(mat,1);
5555   ierr = MatStashSetInitialSize_Private(&mat->stash,size);CHKERRQ(ierr);
5556   ierr = MatStashSetInitialSize_Private(&mat->bstash,bsize);CHKERRQ(ierr);
5557   PetscFunctionReturn(0);
5558 }
5559 
5560 #undef __FUNCT__
5561 #define __FUNCT__ "MatInterpolateAdd"
5562 /*@
5563    MatInterpolateAdd - w = y + A*x or A'*x depending on the shape of
5564      the matrix
5565 
5566    Collective on Mat
5567 
5568    Input Parameters:
5569 +  mat   - the matrix
5570 .  x,y - the vectors
5571 -  w - where the result is stored
5572 
5573    Level: intermediate
5574 
5575    Notes:
5576     w may be the same vector as y.
5577 
5578     This allows one to use either the restriction or interpolation (its transpose)
5579     matrix to do the interpolation
5580 
5581     Concepts: interpolation
5582 
5583 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatRestrict()
5584 
5585 @*/
5586 PetscErrorCode PETSCMAT_DLLEXPORT MatInterpolateAdd(Mat A,Vec x,Vec y,Vec w)
5587 {
5588   PetscErrorCode ierr;
5589   PetscInt       M,N;
5590 
5591   PetscFunctionBegin;
5592   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
5593   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
5594   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
5595   PetscValidHeaderSpecific(w,VEC_COOKIE,4);
5596   PetscValidType(A,1);
5597   ierr = MatPreallocated(A);CHKERRQ(ierr);
5598   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
5599   if (N > M) {
5600     ierr = MatMultTransposeAdd(A,x,y,w);CHKERRQ(ierr);
5601   } else {
5602     ierr = MatMultAdd(A,x,y,w);CHKERRQ(ierr);
5603   }
5604   PetscFunctionReturn(0);
5605 }
5606 
5607 #undef __FUNCT__
5608 #define __FUNCT__ "MatInterpolate"
5609 /*@
5610    MatInterpolate - y = A*x or A'*x depending on the shape of
5611      the matrix
5612 
5613    Collective on Mat
5614 
5615    Input Parameters:
5616 +  mat   - the matrix
5617 -  x,y - the vectors
5618 
5619    Level: intermediate
5620 
5621    Notes:
5622     This allows one to use either the restriction or interpolation (its transpose)
5623     matrix to do the interpolation
5624 
5625    Concepts: matrices^interpolation
5626 
5627 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatRestrict()
5628 
5629 @*/
5630 PetscErrorCode PETSCMAT_DLLEXPORT MatInterpolate(Mat A,Vec x,Vec y)
5631 {
5632   PetscErrorCode ierr;
5633   PetscInt       M,N;
5634 
5635   PetscFunctionBegin;
5636   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
5637   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
5638   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
5639   PetscValidType(A,1);
5640   ierr = MatPreallocated(A);CHKERRQ(ierr);
5641   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
5642   if (N > M) {
5643     ierr = MatMultTranspose(A,x,y);CHKERRQ(ierr);
5644   } else {
5645     ierr = MatMult(A,x,y);CHKERRQ(ierr);
5646   }
5647   PetscFunctionReturn(0);
5648 }
5649 
5650 #undef __FUNCT__
5651 #define __FUNCT__ "MatRestrict"
5652 /*@
5653    MatRestrict - y = A*x or A'*x
5654 
5655    Collective on Mat
5656 
5657    Input Parameters:
5658 +  mat   - the matrix
5659 -  x,y - the vectors
5660 
5661    Level: intermediate
5662 
5663    Notes:
5664     This allows one to use either the restriction or interpolation (its transpose)
5665     matrix to do the restriction
5666 
5667    Concepts: matrices^restriction
5668 
5669 .seealso: MatMultAdd(), MatMultTransposeAdd(), MatInterpolate()
5670 
5671 @*/
5672 PetscErrorCode PETSCMAT_DLLEXPORT MatRestrict(Mat A,Vec x,Vec y)
5673 {
5674   PetscErrorCode ierr;
5675   PetscInt       M,N;
5676 
5677   PetscFunctionBegin;
5678   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
5679   PetscValidHeaderSpecific(x,VEC_COOKIE,2);
5680   PetscValidHeaderSpecific(y,VEC_COOKIE,3);
5681   PetscValidType(A,1);
5682   ierr = MatPreallocated(A);CHKERRQ(ierr);
5683 
5684   ierr = MatGetSize(A,&M,&N);CHKERRQ(ierr);
5685   if (N > M) {
5686     ierr = MatMult(A,x,y);CHKERRQ(ierr);
5687   } else {
5688     ierr = MatMultTranspose(A,x,y);CHKERRQ(ierr);
5689   }
5690   PetscFunctionReturn(0);
5691 }
5692 
5693 #undef __FUNCT__
5694 #define __FUNCT__ "MatNullSpaceAttach"
5695 /*@C
5696    MatNullSpaceAttach - attaches a null space to a matrix.
5697         This null space will be removed from the resulting vector whenever
5698         MatMult() is called
5699 
5700    Collective on Mat
5701 
5702    Input Parameters:
5703 +  mat - the matrix
5704 -  nullsp - the null space object
5705 
5706    Level: developer
5707 
5708    Notes:
5709       Overwrites any previous null space that may have been attached
5710 
5711    Concepts: null space^attaching to matrix
5712 
5713 .seealso: MatCreate(), MatNullSpaceCreate()
5714 @*/
5715 PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceAttach(Mat mat,MatNullSpace nullsp)
5716 {
5717   PetscErrorCode ierr;
5718 
5719   PetscFunctionBegin;
5720   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5721   PetscValidType(mat,1);
5722   PetscValidHeaderSpecific(nullsp,MAT_NULLSPACE_COOKIE,2);
5723   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5724 
5725   if (mat->nullsp) {
5726     ierr = MatNullSpaceDestroy(mat->nullsp);CHKERRQ(ierr);
5727   }
5728   mat->nullsp = nullsp;
5729   ierr = PetscObjectReference((PetscObject)nullsp);CHKERRQ(ierr);
5730   PetscFunctionReturn(0);
5731 }
5732 
5733 #undef __FUNCT__
5734 #define __FUNCT__ "MatICCFactor"
5735 /*@
5736    MatICCFactor - Performs in-place incomplete Cholesky factorization of matrix.
5737 
5738    Collective on Mat
5739 
5740    Input Parameters:
5741 +  mat - the matrix
5742 .  row - row/column permutation
5743 .  fill - expected fill factor >= 1.0
5744 -  level - level of fill, for ICC(k)
5745 
5746    Notes:
5747    Probably really in-place only when level of fill is zero, otherwise allocates
5748    new space to store factored matrix and deletes previous memory.
5749 
5750    Most users should employ the simplified KSP interface for linear solvers
5751    instead of working directly with matrix algebra routines such as this.
5752    See, e.g., KSPCreate().
5753 
5754    Level: developer
5755 
5756    Concepts: matrices^incomplete Cholesky factorization
5757    Concepts: Cholesky factorization
5758 
5759 .seealso: MatICCFactorSymbolic(), MatLUFactorNumeric(), MatCholeskyFactor()
5760 @*/
5761 PetscErrorCode PETSCMAT_DLLEXPORT MatICCFactor(Mat mat,IS row,MatFactorInfo* info)
5762 {
5763   PetscErrorCode ierr;
5764 
5765   PetscFunctionBegin;
5766   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5767   PetscValidType(mat,1);
5768   if (row) PetscValidHeaderSpecific(row,IS_COOKIE,2);
5769   PetscValidPointer(info,3);
5770   if (mat->M != mat->N) SETERRQ(PETSC_ERR_ARG_WRONG,"matrix must be square");
5771   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
5772   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
5773   if (!mat->ops->iccfactor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
5774   ierr = MatPreallocated(mat);CHKERRQ(ierr);
5775   ierr = (*mat->ops->iccfactor)(mat,row,info);CHKERRQ(ierr);
5776   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5777   PetscFunctionReturn(0);
5778 }
5779 
5780 #undef __FUNCT__
5781 #define __FUNCT__ "MatSetValuesAdic"
5782 /*@
5783    MatSetValuesAdic - Sets values computed with ADIC automatic differentiation into a matrix.
5784 
5785    Not Collective
5786 
5787    Input Parameters:
5788 +  mat - the matrix
5789 -  v - the values compute with ADIC
5790 
5791    Level: developer
5792 
5793    Notes:
5794      Must call MatSetColoring() before using this routine. Also this matrix must already
5795      have its nonzero pattern determined.
5796 
5797 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
5798           MatSetValues(), MatSetColoring(), MatSetValuesAdifor()
5799 @*/
5800 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesAdic(Mat mat,void *v)
5801 {
5802   PetscErrorCode ierr;
5803 
5804   PetscFunctionBegin;
5805   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5806   PetscValidType(mat,1);
5807   PetscValidPointer(mat,2);
5808 
5809   if (!mat->assembled) {
5810     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
5811   }
5812   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
5813   if (!mat->ops->setvaluesadic) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
5814   ierr = (*mat->ops->setvaluesadic)(mat,v);CHKERRQ(ierr);
5815   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
5816   ierr = MatView_Private(mat);CHKERRQ(ierr);
5817   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5818   PetscFunctionReturn(0);
5819 }
5820 
5821 
5822 #undef __FUNCT__
5823 #define __FUNCT__ "MatSetColoring"
5824 /*@
5825    MatSetColoring - Sets a coloring used by calls to MatSetValuesAdic()
5826 
5827    Not Collective
5828 
5829    Input Parameters:
5830 +  mat - the matrix
5831 -  coloring - the coloring
5832 
5833    Level: developer
5834 
5835 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
5836           MatSetValues(), MatSetValuesAdic()
5837 @*/
5838 PetscErrorCode PETSCMAT_DLLEXPORT MatSetColoring(Mat mat,ISColoring coloring)
5839 {
5840   PetscErrorCode ierr;
5841 
5842   PetscFunctionBegin;
5843   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5844   PetscValidType(mat,1);
5845   PetscValidPointer(coloring,2);
5846 
5847   if (!mat->assembled) {
5848     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
5849   }
5850   if (!mat->ops->setcoloring) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
5851   ierr = (*mat->ops->setcoloring)(mat,coloring);CHKERRQ(ierr);
5852   PetscFunctionReturn(0);
5853 }
5854 
5855 #undef __FUNCT__
5856 #define __FUNCT__ "MatSetValuesAdifor"
5857 /*@
5858    MatSetValuesAdifor - Sets values computed with automatic differentiation into a matrix.
5859 
5860    Not Collective
5861 
5862    Input Parameters:
5863 +  mat - the matrix
5864 .  nl - leading dimension of v
5865 -  v - the values compute with ADIFOR
5866 
5867    Level: developer
5868 
5869    Notes:
5870      Must call MatSetColoring() before using this routine. Also this matrix must already
5871      have its nonzero pattern determined.
5872 
5873 .seealso: MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal(),
5874           MatSetValues(), MatSetColoring()
5875 @*/
5876 PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesAdifor(Mat mat,PetscInt nl,void *v)
5877 {
5878   PetscErrorCode ierr;
5879 
5880   PetscFunctionBegin;
5881   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5882   PetscValidType(mat,1);
5883   PetscValidPointer(v,3);
5884 
5885   if (!mat->assembled) {
5886     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
5887   }
5888   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
5889   if (!mat->ops->setvaluesadifor) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
5890   ierr = (*mat->ops->setvaluesadifor)(mat,nl,v);CHKERRQ(ierr);
5891   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
5892   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5893   PetscFunctionReturn(0);
5894 }
5895 
5896 #undef __FUNCT__
5897 #define __FUNCT__ "MatDiagonalScaleLocal"
5898 /*@
5899    MatDiagonalScaleLocal - Scales columns of a matrix given the scaling values including the
5900          ghosted ones.
5901 
5902    Not Collective
5903 
5904    Input Parameters:
5905 +  mat - the matrix
5906 -  diag = the diagonal values, including ghost ones
5907 
5908    Level: developer
5909 
5910    Notes: Works only for MPIAIJ and MPIBAIJ matrices
5911 
5912 .seealso: MatDiagonalScale()
5913 @*/
5914 PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalScaleLocal(Mat mat,Vec diag)
5915 {
5916   PetscErrorCode ierr;
5917   PetscMPIInt    size;
5918 
5919   PetscFunctionBegin;
5920   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5921   PetscValidHeaderSpecific(diag,VEC_COOKIE,2);
5922   PetscValidType(mat,1);
5923 
5924   if (!mat->assembled) {
5925     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Matrix must be already assembled");
5926   }
5927   ierr = PetscLogEventBegin(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
5928   ierr = MPI_Comm_size(mat->comm,&size);CHKERRQ(ierr);
5929   if (size == 1) {
5930     PetscInt n,m;
5931     ierr = VecGetSize(diag,&n);CHKERRQ(ierr);
5932     ierr = MatGetSize(mat,0,&m);CHKERRQ(ierr);
5933     if (m == n) {
5934       ierr = MatDiagonalScale(mat,0,diag);CHKERRQ(ierr);
5935     } else {
5936       SETERRQ(PETSC_ERR_SUP,"Only supported for sequential matrices when no ghost points/periodic conditions");
5937     }
5938   } else {
5939     PetscErrorCode (*f)(Mat,Vec);
5940     ierr = PetscObjectQueryFunction((PetscObject)mat,"MatDiagonalScaleLocal_C",(void (**)(void))&f);CHKERRQ(ierr);
5941     if (f) {
5942       ierr = (*f)(mat,diag);CHKERRQ(ierr);
5943     } else {
5944       SETERRQ(PETSC_ERR_SUP,"Only supported for MPIAIJ and MPIBAIJ parallel matrices");
5945     }
5946   }
5947   ierr = PetscLogEventEnd(MAT_Scale,mat,0,0,0);CHKERRQ(ierr);
5948   ierr = PetscObjectStateIncrease((PetscObject)mat);CHKERRQ(ierr);
5949   PetscFunctionReturn(0);
5950 }
5951 
5952 #undef __FUNCT__
5953 #define __FUNCT__ "MatGetInertia"
5954 /*@
5955    MatGetInertia - Gets the inertia from a factored matrix
5956 
5957    Collective on Mat
5958 
5959    Input Parameter:
5960 .  mat - the matrix
5961 
5962    Output Parameters:
5963 +   nneg - number of negative eigenvalues
5964 .   nzero - number of zero eigenvalues
5965 -   npos - number of positive eigenvalues
5966 
5967    Level: advanced
5968 
5969    Notes: Matrix must have been factored by MatCholeskyFactor()
5970 
5971 
5972 @*/
5973 PetscErrorCode PETSCMAT_DLLEXPORT MatGetInertia(Mat mat,PetscInt *nneg,PetscInt *nzero,PetscInt *npos)
5974 {
5975   PetscErrorCode ierr;
5976 
5977   PetscFunctionBegin;
5978   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
5979   PetscValidType(mat,1);
5980   if (!mat->factor)    SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
5981   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Numeric factor mat is not assembled");
5982   if (!mat->ops->getinertia) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
5983   ierr = (*mat->ops->getinertia)(mat,nneg,nzero,npos);CHKERRQ(ierr);
5984   PetscFunctionReturn(0);
5985 }
5986 
5987 /* ----------------------------------------------------------------*/
5988 #undef __FUNCT__
5989 #define __FUNCT__ "MatSolves"
5990 /*@
5991    MatSolves - Solves A x = b, given a factored matrix, for a collection of vectors
5992 
5993    Collective on Mat and Vecs
5994 
5995    Input Parameters:
5996 +  mat - the factored matrix
5997 -  b - the right-hand-side vectors
5998 
5999    Output Parameter:
6000 .  x - the result vectors
6001 
6002    Notes:
6003    The vectors b and x cannot be the same.  I.e., one cannot
6004    call MatSolves(A,x,x).
6005 
6006    Notes:
6007    Most users should employ the simplified KSP interface for linear solvers
6008    instead of working directly with matrix algebra routines such as this.
6009    See, e.g., KSPCreate().
6010 
6011    Level: developer
6012 
6013    Concepts: matrices^triangular solves
6014 
6015 .seealso: MatSolveAdd(), MatSolveTranspose(), MatSolveTransposeAdd(), MatSolve()
6016 @*/
6017 PetscErrorCode PETSCMAT_DLLEXPORT MatSolves(Mat mat,Vecs b,Vecs x)
6018 {
6019   PetscErrorCode ierr;
6020 
6021   PetscFunctionBegin;
6022   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6023   PetscValidType(mat,1);
6024   if (x == b) SETERRQ(PETSC_ERR_ARG_IDN,"x and b must be different vectors");
6025   if (!mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Unfactored matrix");
6026   if (!mat->M && !mat->N) PetscFunctionReturn(0);
6027 
6028   if (!mat->ops->solves) SETERRQ1(PETSC_ERR_SUP,"Mat type %s",mat->type_name);
6029   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6030   ierr = PetscLogEventBegin(MAT_Solves,mat,0,0,0);CHKERRQ(ierr);
6031   ierr = (*mat->ops->solves)(mat,b,x);CHKERRQ(ierr);
6032   ierr = PetscLogEventEnd(MAT_Solves,mat,0,0,0);CHKERRQ(ierr);
6033   PetscFunctionReturn(0);
6034 }
6035 
6036 #undef __FUNCT__
6037 #define __FUNCT__ "MatIsSymmetric"
6038 /*@
6039    MatIsSymmetric - Test whether a matrix is symmetric
6040 
6041    Collective on Mat
6042 
6043    Input Parameter:
6044 +  A - the matrix to test
6045 -  tol - difference between value and its transpose less than this amount counts as equal (use 0.0 for exact transpose)
6046 
6047    Output Parameters:
6048 .  flg - the result
6049 
6050    Level: intermediate
6051 
6052    Concepts: matrix^symmetry
6053 
6054 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetricKnown()
6055 @*/
6056 PetscErrorCode PETSCMAT_DLLEXPORT MatIsSymmetric(Mat A,PetscReal tol,PetscTruth *flg)
6057 {
6058   PetscErrorCode ierr;
6059 
6060   PetscFunctionBegin;
6061   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6062   PetscValidPointer(flg,2);
6063   if (!A->symmetric_set) {
6064     if (!A->ops->issymmetric) {
6065       MatType mattype;
6066       ierr = MatGetType(A,&mattype);CHKERRQ(ierr);
6067       SETERRQ1(PETSC_ERR_SUP,"Matrix of type <%s> does not support checking for symmetric",mattype);
6068     }
6069     ierr = (*A->ops->issymmetric)(A,tol,&A->symmetric);CHKERRQ(ierr);
6070     A->symmetric_set = PETSC_TRUE;
6071     if (A->symmetric) {
6072       A->structurally_symmetric_set = PETSC_TRUE;
6073       A->structurally_symmetric     = PETSC_TRUE;
6074     }
6075   }
6076   *flg = A->symmetric;
6077   PetscFunctionReturn(0);
6078 }
6079 
6080 #undef __FUNCT__
6081 #define __FUNCT__ "MatIsSymmetricKnown"
6082 /*@
6083    MatIsSymmetricKnown - Checks the flag on the matrix to see if it is symmetric.
6084 
6085    Collective on Mat
6086 
6087    Input Parameter:
6088 .  A - the matrix to check
6089 
6090    Output Parameters:
6091 +  set - if the symmetric flag is set (this tells you if the next flag is valid)
6092 -  flg - the result
6093 
6094    Level: advanced
6095 
6096    Concepts: matrix^symmetry
6097 
6098    Note: Does not check the matrix values directly, so this may return unknown (set = PETSC_FALSE). Use MatIsSymmetric()
6099          if you want it explicitly checked
6100 
6101 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetric()
6102 @*/
6103 PetscErrorCode PETSCMAT_DLLEXPORT MatIsSymmetricKnown(Mat A,PetscTruth *set,PetscTruth *flg)
6104 {
6105   PetscFunctionBegin;
6106   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6107   PetscValidPointer(set,2);
6108   PetscValidPointer(flg,3);
6109   if (A->symmetric_set) {
6110     *set = PETSC_TRUE;
6111     *flg = A->symmetric;
6112   } else {
6113     *set = PETSC_FALSE;
6114   }
6115   PetscFunctionReturn(0);
6116 }
6117 
6118 #undef __FUNCT__
6119 #define __FUNCT__ "MatIsHermitianKnown"
6120 /*@
6121    MatIsHermitianKnown - Checks the flag on the matrix to see if it is hermitian.
6122 
6123    Collective on Mat
6124 
6125    Input Parameter:
6126 .  A - the matrix to check
6127 
6128    Output Parameters:
6129 +  set - if the hermitian flag is set (this tells you if the next flag is valid)
6130 -  flg - the result
6131 
6132    Level: advanced
6133 
6134    Concepts: matrix^symmetry
6135 
6136    Note: Does not check the matrix values directly, so this may return unknown (set = PETSC_FALSE). Use MatIsHermitian()
6137          if you want it explicitly checked
6138 
6139 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsStructurallySymmetric(), MatSetOption(), MatIsSymmetric()
6140 @*/
6141 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitianKnown(Mat A,PetscTruth *set,PetscTruth *flg)
6142 {
6143   PetscFunctionBegin;
6144   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6145   PetscValidPointer(set,2);
6146   PetscValidPointer(flg,3);
6147   if (A->hermitian_set) {
6148     *set = PETSC_TRUE;
6149     *flg = A->hermitian;
6150   } else {
6151     *set = PETSC_FALSE;
6152   }
6153   PetscFunctionReturn(0);
6154 }
6155 
6156 #undef __FUNCT__
6157 #define __FUNCT__ "MatIsStructurallySymmetric"
6158 /*@
6159    MatIsStructurallySymmetric - Test whether a matrix is structurally symmetric
6160 
6161    Collective on Mat
6162 
6163    Input Parameter:
6164 .  A - the matrix to test
6165 
6166    Output Parameters:
6167 .  flg - the result
6168 
6169    Level: intermediate
6170 
6171    Concepts: matrix^symmetry
6172 
6173 .seealso: MatTranspose(), MatIsTranspose(), MatIsHermitian(), MatIsSymmetric(), MatSetOption()
6174 @*/
6175 PetscErrorCode PETSCMAT_DLLEXPORT MatIsStructurallySymmetric(Mat A,PetscTruth *flg)
6176 {
6177   PetscErrorCode ierr;
6178 
6179   PetscFunctionBegin;
6180   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6181   PetscValidPointer(flg,2);
6182   if (!A->structurally_symmetric_set) {
6183     if (!A->ops->isstructurallysymmetric) SETERRQ(PETSC_ERR_SUP,"Matrix does not support checking for structural symmetric");
6184     ierr = (*A->ops->isstructurallysymmetric)(A,&A->structurally_symmetric);CHKERRQ(ierr);
6185     A->structurally_symmetric_set = PETSC_TRUE;
6186   }
6187   *flg = A->structurally_symmetric;
6188   PetscFunctionReturn(0);
6189 }
6190 
6191 #undef __FUNCT__
6192 #define __FUNCT__ "MatIsHermitian"
6193 /*@
6194    MatIsHermitian - Test whether a matrix is Hermitian, i.e. it is the complex conjugate of its transpose.
6195 
6196    Collective on Mat
6197 
6198    Input Parameter:
6199 .  A - the matrix to test
6200 
6201    Output Parameters:
6202 .  flg - the result
6203 
6204    Level: intermediate
6205 
6206    Concepts: matrix^symmetry
6207 
6208 .seealso: MatTranspose(), MatIsTranspose(), MatIsSymmetric(), MatIsStructurallySymmetric(), MatSetOption()
6209 @*/
6210 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitian(Mat A,PetscTruth *flg)
6211 {
6212   PetscErrorCode ierr;
6213 
6214   PetscFunctionBegin;
6215   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6216   PetscValidPointer(flg,2);
6217   if (!A->hermitian_set) {
6218     if (!A->ops->ishermitian) SETERRQ(PETSC_ERR_SUP,"Matrix does not support checking for being Hermitian");
6219     ierr = (*A->ops->ishermitian)(A,&A->hermitian);CHKERRQ(ierr);
6220     A->hermitian_set = PETSC_TRUE;
6221     if (A->hermitian) {
6222       A->structurally_symmetric_set = PETSC_TRUE;
6223       A->structurally_symmetric     = PETSC_TRUE;
6224     }
6225   }
6226   *flg = A->hermitian;
6227   PetscFunctionReturn(0);
6228 }
6229 
6230 #undef __FUNCT__
6231 #define __FUNCT__ "MatStashGetInfo"
6232 extern PetscErrorCode MatStashGetInfo_Private(MatStash*,PetscInt*,PetscInt*);
6233 /*@
6234    MatStashGetInfo - Gets how many values are currently in the vector stash, i.e. need
6235        to be communicated to other processors during the MatAssemblyBegin/End() process
6236 
6237     Not collective
6238 
6239    Input Parameter:
6240 .   vec - the vector
6241 
6242    Output Parameters:
6243 +   nstash   - the size of the stash
6244 .   reallocs - the number of additional mallocs incurred.
6245 .   bnstash   - the size of the block stash
6246 -   breallocs - the number of additional mallocs incurred.in the block stash
6247 
6248    Level: advanced
6249 
6250 .seealso: MatAssemblyBegin(), MatAssemblyEnd(), Mat, MatStashSetInitialSize()
6251 
6252 @*/
6253 PetscErrorCode PETSCMAT_DLLEXPORT MatStashGetInfo(Mat mat,PetscInt *nstash,PetscInt *reallocs,PetscInt *bnstash,PetscInt *breallocs)
6254 {
6255   PetscErrorCode ierr;
6256   PetscFunctionBegin;
6257   ierr = MatStashGetInfo_Private(&mat->stash,nstash,reallocs);CHKERRQ(ierr);
6258   ierr = MatStashGetInfo_Private(&mat->bstash,bnstash,breallocs);CHKERRQ(ierr);
6259   PetscFunctionReturn(0);
6260 }
6261 
6262 #undef __FUNCT__
6263 #define __FUNCT__ "MatGetVecs"
6264 /*@
6265    MatGetVecs - Get vector(s) compatible with the matrix, i.e. with the same
6266      parallel layout
6267 
6268    Collective on Mat
6269 
6270    Input Parameter:
6271 .  mat - the matrix
6272 
6273    Output Parameter:
6274 +   right - (optional) vector that the matrix can be multiplied against
6275 -   left - (optional) vector that the matrix vector product can be stored in
6276 
6277   Level: advanced
6278 
6279 .seealso: MatCreate()
6280 @*/
6281 PetscErrorCode PETSCMAT_DLLEXPORT MatGetVecs(Mat mat,Vec *right,Vec *left)
6282 {
6283   PetscErrorCode ierr;
6284 
6285   PetscFunctionBegin;
6286   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
6287   PetscValidType(mat,1);
6288   ierr = MatPreallocated(mat);CHKERRQ(ierr);
6289   if (mat->ops->getvecs) {
6290     ierr = (*mat->ops->getvecs)(mat,right,left);CHKERRQ(ierr);
6291   } else {
6292     PetscMPIInt size;
6293     ierr = MPI_Comm_size(mat->comm, &size);CHKERRQ(ierr);
6294     if (right) {
6295       ierr = VecCreate(mat->comm,right);CHKERRQ(ierr);
6296       ierr = VecSetSizes(*right,mat->n,PETSC_DETERMINE);CHKERRQ(ierr);
6297       if (size > 1) {ierr = VecSetType(*right,VECMPI);CHKERRQ(ierr);}
6298       else {ierr = VecSetType(*right,VECSEQ);CHKERRQ(ierr);}
6299     }
6300     if (left) {
6301       ierr = VecCreate(mat->comm,left);CHKERRQ(ierr);
6302       ierr = VecSetSizes(*left,mat->m,PETSC_DETERMINE);CHKERRQ(ierr);
6303       if (size > 1) {ierr = VecSetType(*left,VECMPI);CHKERRQ(ierr);}
6304       else {ierr = VecSetType(*left,VECSEQ);CHKERRQ(ierr);}
6305     }
6306   }
6307   if (right) {ierr = VecSetBlockSize(*right,mat->bs);CHKERRQ(ierr);}
6308   if (left) {ierr = VecSetBlockSize(*left,mat->bs);CHKERRQ(ierr);}
6309   PetscFunctionReturn(0);
6310 }
6311 
6312 #undef __FUNCT__
6313 #define __FUNCT__ "MatFactorInfoInitialize"
6314 /*@
6315    MatFactorInfoInitialize - Initializes a MatFactorInfo data structure
6316      with default values.
6317 
6318    Not Collective
6319 
6320    Input Parameters:
6321 .    info - the MatFactorInfo data structure
6322 
6323 
6324    Notes: The solvers are generally used through the KSP and PC objects, for example
6325           PCLU, PCILU, PCCHOLESKY, PCICC
6326 
6327    Level: developer
6328 
6329 .seealso: MatFactorInfo
6330 @*/
6331 
6332 PetscErrorCode PETSCMAT_DLLEXPORT MatFactorInfoInitialize(MatFactorInfo *info)
6333 {
6334   PetscErrorCode ierr;
6335 
6336   PetscFunctionBegin;
6337   ierr = PetscMemzero(info,sizeof(MatFactorInfo));CHKERRQ(ierr);
6338   PetscFunctionReturn(0);
6339 }
6340 
6341 #undef __FUNCT__
6342 #define __FUNCT__ "MatPtAP"
6343 /*@
6344    MatPtAP - Creates the matrix projection C = P^T * A * P
6345 
6346    Collective on Mat
6347 
6348    Input Parameters:
6349 +  A - the matrix
6350 .  P - the projection matrix
6351 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
6352 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(P))
6353 
6354    Output Parameters:
6355 .  C - the product matrix
6356 
6357    Notes:
6358    C will be created and must be destroyed by the user with MatDestroy().
6359 
6360    This routine is currently only implemented for pairs of AIJ matrices and classes
6361    which inherit from AIJ.
6362 
6363    Level: intermediate
6364 
6365 .seealso: MatPtAPSymbolic(), MatPtAPNumeric(), MatMatMult()
6366 @*/
6367 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAP(Mat A,Mat P,MatReuse scall,PetscReal fill,Mat *C)
6368 {
6369   PetscErrorCode ierr;
6370 
6371   PetscFunctionBegin;
6372   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6373   PetscValidType(A,1);
6374   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6375   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6376   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
6377   PetscValidType(P,2);
6378   MatPreallocated(P);
6379   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6380   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6381   PetscValidPointer(C,3);
6382   if (P->M!=A->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->M,A->N);
6383   if (fill <=0.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"fill=%G must be > 0.0",fill);
6384   ierr = MatPreallocated(A);CHKERRQ(ierr);
6385 
6386   ierr = PetscLogEventBegin(MAT_PtAP,A,P,0,0);CHKERRQ(ierr);
6387   ierr = (*A->ops->ptap)(A,P,scall,fill,C);CHKERRQ(ierr);
6388   ierr = PetscLogEventEnd(MAT_PtAP,A,P,0,0);CHKERRQ(ierr);
6389 
6390   PetscFunctionReturn(0);
6391 }
6392 
6393 #undef __FUNCT__
6394 #define __FUNCT__ "MatPtAPNumeric"
6395 /*@
6396    MatPtAPNumeric - Computes the matrix projection C = P^T * A * P
6397 
6398    Collective on Mat
6399 
6400    Input Parameters:
6401 +  A - the matrix
6402 -  P - the projection matrix
6403 
6404    Output Parameters:
6405 .  C - the product matrix
6406 
6407    Notes:
6408    C must have been created by calling MatPtAPSymbolic and must be destroyed by
6409    the user using MatDeatroy().
6410 
6411    This routine is currently only implemented for pairs of AIJ matrices and classes
6412    which inherit from AIJ.  C will be of type MATAIJ.
6413 
6414    Level: intermediate
6415 
6416 .seealso: MatPtAP(), MatPtAPSymbolic(), MatMatMultNumeric()
6417 @*/
6418 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAPNumeric(Mat A,Mat P,Mat C)
6419 {
6420   PetscErrorCode ierr;
6421 
6422   PetscFunctionBegin;
6423   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6424   PetscValidType(A,1);
6425   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6426   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6427   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
6428   PetscValidType(P,2);
6429   MatPreallocated(P);
6430   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6431   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6432   PetscValidHeaderSpecific(C,MAT_COOKIE,3);
6433   PetscValidType(C,3);
6434   MatPreallocated(C);
6435   if (C->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6436   if (P->N!=C->M) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->N,C->M);
6437   if (P->M!=A->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->M,A->N);
6438   if (A->M!=A->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix 'A' must be square, %D != %D",A->M,A->N);
6439   if (P->N!=C->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->N,C->N);
6440   ierr = MatPreallocated(A);CHKERRQ(ierr);
6441 
6442   ierr = PetscLogEventBegin(MAT_PtAPNumeric,A,P,0,0);CHKERRQ(ierr);
6443   ierr = (*A->ops->ptapnumeric)(A,P,C);CHKERRQ(ierr);
6444   ierr = PetscLogEventEnd(MAT_PtAPNumeric,A,P,0,0);CHKERRQ(ierr);
6445   PetscFunctionReturn(0);
6446 }
6447 
6448 #undef __FUNCT__
6449 #define __FUNCT__ "MatPtAPSymbolic"
6450 /*@
6451    MatPtAPSymbolic - Creates the (i,j) structure of the matrix projection C = P^T * A * P
6452 
6453    Collective on Mat
6454 
6455    Input Parameters:
6456 +  A - the matrix
6457 -  P - the projection matrix
6458 
6459    Output Parameters:
6460 .  C - the (i,j) structure of the product matrix
6461 
6462    Notes:
6463    C will be created and must be destroyed by the user with MatDestroy().
6464 
6465    This routine is currently only implemented for pairs of SeqAIJ matrices and classes
6466    which inherit from SeqAIJ.  C will be of type MATSEQAIJ.  The product is computed using
6467    this (i,j) structure by calling MatPtAPNumeric().
6468 
6469    Level: intermediate
6470 
6471 .seealso: MatPtAP(), MatPtAPNumeric(), MatMatMultSymbolic()
6472 @*/
6473 PetscErrorCode PETSCMAT_DLLEXPORT MatPtAPSymbolic(Mat A,Mat P,PetscReal fill,Mat *C)
6474 {
6475   PetscErrorCode ierr;
6476 
6477   PetscFunctionBegin;
6478   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6479   PetscValidType(A,1);
6480   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6481   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6482   PetscValidHeaderSpecific(P,MAT_COOKIE,2);
6483   PetscValidType(P,2);
6484   MatPreallocated(P);
6485   if (!P->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6486   if (P->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6487   PetscValidPointer(C,3);
6488 
6489   if (P->M!=A->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",P->M,A->N);
6490   if (A->M!=A->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix 'A' must be square, %D != %D",A->M,A->N);
6491   ierr = MatPreallocated(A);CHKERRQ(ierr);
6492   ierr = PetscLogEventBegin(MAT_PtAPSymbolic,A,P,0,0);CHKERRQ(ierr);
6493   ierr = (*A->ops->ptapsymbolic)(A,P,fill,C);CHKERRQ(ierr);
6494   ierr = PetscLogEventEnd(MAT_PtAPSymbolic,A,P,0,0);CHKERRQ(ierr);
6495 
6496   ierr = MatSetBlockSize(*C,A->bs);CHKERRQ(ierr);
6497 
6498   PetscFunctionReturn(0);
6499 }
6500 
6501 #undef __FUNCT__
6502 #define __FUNCT__ "MatMatMult"
6503 /*@
6504    MatMatMult - Performs Matrix-Matrix Multiplication C=A*B.
6505 
6506    Collective on Mat
6507 
6508    Input Parameters:
6509 +  A - the left matrix
6510 .  B - the right matrix
6511 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
6512 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B))
6513 
6514    Output Parameters:
6515 .  C - the product matrix
6516 
6517    Notes:
6518    C will be created and must be destroyed by the user with MatDestroy().
6519    Unless scall is MAT_REUSE_MATRIX
6520 
6521    This routine is currently only implemented for pairs of AIJ matrices and classes
6522    which inherit from AIJ.  C will be of type MATAIJ.
6523 
6524    Level: intermediate
6525 
6526 .seealso: MatMatMultSymbolic(), MatMatMultNumeric(), MatPtAP()
6527 @*/
6528 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMult(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
6529 {
6530   PetscErrorCode ierr;
6531   PetscErrorCode (*fA)(Mat,Mat,MatReuse,PetscReal,Mat*);
6532   PetscErrorCode (*fB)(Mat,Mat,MatReuse,PetscReal,Mat*);
6533 
6534   PetscFunctionBegin;
6535   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6536   PetscValidType(A,1);
6537   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6538   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6539   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
6540   PetscValidType(B,2);
6541   MatPreallocated(B);
6542   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6543   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6544   PetscValidPointer(C,3);
6545   if (B->M!=A->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->M,A->N);
6546   if (fill <=0.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"fill=%G must be > 0.0",fill);
6547   ierr = MatPreallocated(A);CHKERRQ(ierr);
6548 
6549   /* For now, we do not dispatch based on the type of A and B */
6550   /* When implementations like _SeqAIJ_MAIJ exist, attack the multiple dispatch problem. */
6551   fA = A->ops->matmult;
6552   if (!fA) SETERRQ1(PETSC_ERR_SUP,"MatMatMult not supported for A of type %s",A->type_name);
6553   fB = B->ops->matmult;
6554   if (!fB) SETERRQ1(PETSC_ERR_SUP,"MatMatMult not supported for B of type %s",B->type_name);
6555   if (fB!=fA) SETERRQ2(PETSC_ERR_ARG_INCOMP,"MatMatMult requires A, %s, to be compatible with B, %s",A->type_name,B->type_name);
6556 
6557   ierr = PetscLogEventBegin(MAT_MatMult,A,B,0,0);CHKERRQ(ierr);
6558   ierr = (*A->ops->matmult)(A,B,scall,fill,C);CHKERRQ(ierr);
6559   ierr = PetscLogEventEnd(MAT_MatMult,A,B,0,0);CHKERRQ(ierr);
6560 
6561   PetscFunctionReturn(0);
6562 }
6563 
6564 #undef __FUNCT__
6565 #define __FUNCT__ "MatMatMultSymbolic"
6566 /*@
6567    MatMatMultSymbolic - Performs construction, preallocation, and computes the ij structure
6568    of the matrix-matrix product C=A*B.  Call this routine before calling MatMatMultNumeric().
6569 
6570    Collective on Mat
6571 
6572    Input Parameters:
6573 +  A - the left matrix
6574 .  B - the right matrix
6575 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B))
6576 
6577    Output Parameters:
6578 .  C - the matrix containing the ij structure of product matrix
6579 
6580    Notes:
6581    C will be created as a MATSEQAIJ matrix and must be destroyed by the user with MatDestroy().
6582 
6583    This routine is currently only implemented for SeqAIJ matrices and classes which inherit from SeqAIJ.
6584 
6585    Level: intermediate
6586 
6587 .seealso: MatMatMult(), MatMatMultNumeric()
6588 @*/
6589 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultSymbolic(Mat A,Mat B,PetscReal fill,Mat *C)
6590 {
6591   PetscErrorCode ierr;
6592   PetscErrorCode (*Asymbolic)(Mat,Mat,PetscReal,Mat *);
6593   PetscErrorCode (*Bsymbolic)(Mat,Mat,PetscReal,Mat *);
6594 
6595   PetscFunctionBegin;
6596   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6597   PetscValidType(A,1);
6598   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6599   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6600 
6601   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
6602   PetscValidType(B,2);
6603   MatPreallocated(B);
6604   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6605   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6606   PetscValidPointer(C,3);
6607 
6608   if (B->M!=A->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->M,A->N);
6609   if (fill <=0.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"fill=%G must be > 0.0",fill);
6610   ierr = MatPreallocated(A);CHKERRQ(ierr);
6611 
6612   /* For now, we do not dispatch based on the type of A and P */
6613   /* When implementations like _SeqAIJ_MAIJ exist, attack the multiple dispatch problem. */
6614   Asymbolic = A->ops->matmultsymbolic;
6615   if (!Asymbolic) SETERRQ1(PETSC_ERR_SUP,"C=A*B not implemented for A of type %s",A->type_name);
6616   Bsymbolic = B->ops->matmultsymbolic;
6617   if (!Bsymbolic) SETERRQ1(PETSC_ERR_SUP,"C=A*B not implemented for B of type %s",B->type_name);
6618   if (Bsymbolic!=Asymbolic) SETERRQ2(PETSC_ERR_ARG_INCOMP,"MatMatMultSymbolic requires A, %s, to be compatible with B, %s",A->type_name,B->type_name);
6619 
6620   ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
6621   ierr = (*Asymbolic)(A,B,fill,C);CHKERRQ(ierr);
6622   ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
6623 
6624   PetscFunctionReturn(0);
6625 }
6626 
6627 #undef __FUNCT__
6628 #define __FUNCT__ "MatMatMultNumeric"
6629 /*@
6630    MatMatMultNumeric - Performs the numeric matrix-matrix product.
6631    Call this routine after first calling MatMatMultSymbolic().
6632 
6633    Collective on Mat
6634 
6635    Input Parameters:
6636 +  A - the left matrix
6637 -  B - the right matrix
6638 
6639    Output Parameters:
6640 .  C - the product matrix, whose ij structure was defined from MatMatMultSymbolic().
6641 
6642    Notes:
6643    C must have been created with MatMatMultSymbolic.
6644 
6645    This routine is currently only implemented for SeqAIJ type matrices.
6646 
6647    Level: intermediate
6648 
6649 .seealso: MatMatMult(), MatMatMultSymbolic()
6650 @*/
6651 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultNumeric(Mat A,Mat B,Mat C)
6652 {
6653   PetscErrorCode ierr;
6654   PetscErrorCode (*Anumeric)(Mat,Mat,Mat);
6655   PetscErrorCode (*Bnumeric)(Mat,Mat,Mat);
6656 
6657   PetscFunctionBegin;
6658 
6659   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6660   PetscValidType(A,1);
6661   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6662   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6663 
6664   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
6665   PetscValidType(B,2);
6666   MatPreallocated(B);
6667   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6668   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6669 
6670   PetscValidHeaderSpecific(C,MAT_COOKIE,3);
6671   PetscValidType(C,3);
6672   MatPreallocated(C);
6673   if (!C->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6674   if (C->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6675 
6676   if (B->N!=C->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->N,C->N);
6677   if (B->M!=A->N) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->M,A->N);
6678   if (A->M!=C->M) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",A->M,C->M);
6679   ierr = MatPreallocated(A);CHKERRQ(ierr);
6680 
6681   /* For now, we do not dispatch based on the type of A and B */
6682   /* When implementations like _SeqAIJ_MAIJ exist, attack the multiple dispatch problem. */
6683   Anumeric = A->ops->matmultnumeric;
6684   if (!Anumeric) SETERRQ1(PETSC_ERR_SUP,"MatMatMultNumeric not supported for A of type %s",A->type_name);
6685   Bnumeric = B->ops->matmultnumeric;
6686   if (!Bnumeric) SETERRQ1(PETSC_ERR_SUP,"MatMatMultNumeric not supported for B of type %s",B->type_name);
6687   if (Bnumeric!=Anumeric) SETERRQ2(PETSC_ERR_ARG_INCOMP,"MatMatMultNumeric requires A, %s, to be compatible with B, %s",A->type_name,B->type_name);
6688 
6689   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
6690   ierr = (*Anumeric)(A,B,C);CHKERRQ(ierr);
6691   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
6692 
6693   PetscFunctionReturn(0);
6694 }
6695 
6696 #undef __FUNCT__
6697 #define __FUNCT__ "MatMatMultTranspose"
6698 /*@
6699    MatMatMultTranspose - Performs Matrix-Matrix Multiplication C=A^T*B.
6700 
6701    Collective on Mat
6702 
6703    Input Parameters:
6704 +  A - the left matrix
6705 .  B - the right matrix
6706 .  scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
6707 -  fill - expected fill as ratio of nnz(C)/(nnz(A) + nnz(B))
6708 
6709    Output Parameters:
6710 .  C - the product matrix
6711 
6712    Notes:
6713    C will be created and must be destroyed by the user with MatDestroy().
6714 
6715    This routine is currently only implemented for pairs of SeqAIJ matrices and classes
6716    which inherit from SeqAIJ.  C will be of type MATSEQAIJ.
6717 
6718    Level: intermediate
6719 
6720 .seealso: MatMatMultTransposeSymbolic(), MatMatMultTransposeNumeric(), MatPtAP()
6721 @*/
6722 PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultTranspose(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
6723 {
6724   PetscErrorCode ierr;
6725   PetscErrorCode (*fA)(Mat,Mat,MatReuse,PetscReal,Mat*);
6726   PetscErrorCode (*fB)(Mat,Mat,MatReuse,PetscReal,Mat*);
6727 
6728   PetscFunctionBegin;
6729   PetscValidHeaderSpecific(A,MAT_COOKIE,1);
6730   PetscValidType(A,1);
6731   if (!A->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6732   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6733   PetscValidHeaderSpecific(B,MAT_COOKIE,2);
6734   PetscValidType(B,2);
6735   MatPreallocated(B);
6736   if (!B->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
6737   if (B->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
6738   PetscValidPointer(C,3);
6739   if (B->M!=A->M) SETERRQ2(PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",B->M,A->M);
6740   if (fill <=0.0) SETERRQ1(PETSC_ERR_ARG_SIZ,"fill=%G must be > 0.0",fill);
6741   ierr = MatPreallocated(A);CHKERRQ(ierr);
6742 
6743   fA = A->ops->matmulttranspose;
6744   if (!fA) SETERRQ1(PETSC_ERR_SUP,"MatMatMultTranspose not supported for A of type %s",A->type_name);
6745   fB = B->ops->matmulttranspose;
6746   if (!fB) SETERRQ1(PETSC_ERR_SUP,"MatMatMultTranspose not supported for B of type %s",B->type_name);
6747   if (fB!=fA) SETERRQ2(PETSC_ERR_ARG_INCOMP,"MatMatMultTranspose requires A, %s, to be compatible with B, %s",A->type_name,B->type_name);
6748 
6749   ierr = PetscLogEventBegin(MAT_MatMultTranspose,A,B,0,0);CHKERRQ(ierr);
6750   ierr = (*A->ops->matmulttranspose)(A,B,scall,fill,C);CHKERRQ(ierr);
6751   ierr = PetscLogEventEnd(MAT_MatMultTranspose,A,B,0,0);CHKERRQ(ierr);
6752 
6753   PetscFunctionReturn(0);
6754 }
6755