xref: /petsc/include/petscmat.h (revision 1677d0b88caff045fb399525ae6e8dad78c032c0)
1 /* $Id: petscmat.h,v 1.228 2001/09/07 20:09:08 bsmith Exp $ */
2 /*
3      Include file for the matrix component of PETSc
4 */
5 #ifndef __PETSCMAT_H
6 #define __PETSCMAT_H
7 #include "petscvec.h"
8 
9 /*S
10      Mat - Abstract PETSc matrix object
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*E
21     MatType - String with the name of a PETSc matrix or the creation function
22        with an optional dynamic library name, for example
23        http://www.mcs.anl.gov/petsc/lib.a:mymatcreate()
24 
25    Level: beginner
26 
27 .seealso: MatSetType(), Mat
28 E*/
29 #define MATSAME            "same"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATMPIROWBS        "mpirowbs"
34 #define MATSEQDENSE        "seqdense"
35 #define MATSEQAIJ          "seqaij"
36 #define MATMPIAIJ          "mpiaij"
37 #define MATSHELL           "shell"
38 #define MATSEQBDIAG        "seqbdiag"
39 #define MATMPIBDIAG        "mpibdiag"
40 #define MATMPIDENSE        "mpidense"
41 #define MATSEQBAIJ         "seqbaij"
42 #define MATMPIBAIJ         "mpibaij"
43 #define MATMPIADJ          "mpiadj"
44 #define MATSEQSBAIJ        "seqsbaij"
45 #define MATMPISBAIJ        "mpisbaij"
46 #define MATDAAD            "daad"
47 #define MATMFFD            "mffd"
48 #define MATESI             "esi"
49 #define MATPETSCESI        "petscesi"
50 #define MATNORMAL          "normal"
51 #define MATSEQAIJSPOOLES   "seqaijspooles"
52 #define MATMPIAIJSPOOLES   "mpiaijspooles"
53 #define MATSEQSBAIJSPOOLES "seqsbaijspooles"
54 #define MATMPISBAIJSPOOLES "mpisbaijspooles"
55 #define MATSUPERLU         "superlu"
56 #define MATSUPERLUDIST     "superludist"
57 #define MATUMFPACK         "umfpack"
58 typedef char* MatType;
59 
60 #define MAT_SER_SEQAIJ_BINARY "seqaij_binary"
61 #define MAT_SER_MPIAIJ_BINARY "mpiaij_binary"
62 typedef char *MatSerializeType;
63 
64 /* Logging support */
65 #define    MAT_FILE_COOKIE 1211216    /* used to indicate matrices in binary files */
66 extern int MAT_COOKIE;
67 extern int MATSNESMFCTX_COOKIE;
68 extern int MAT_FDCOLORING_COOKIE;
69 extern int MAT_PARTITIONING_COOKIE;
70 extern int MAT_NULLSPACE_COOKIE;
71 extern int MAT_Mult, MAT_MultMatrixFree, MAT_Mults, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
72 extern int MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_Solves, MAT_SolveAdd, MAT_SolveTranspose;
73 extern int MAT_SolveTransposeAdd, MAT_Relax, MAT_ForwardSolve, MAT_BackwardSolve, MAT_LUFactor, MAT_LUFactorSymbolic;
74 extern int MAT_LUFactorNumeric, MAT_CholeskyFactor, MAT_CholeskyFactorSymbolic, MAT_CholeskyFactorNumeric, MAT_ILUFactor;
75 extern int MAT_ILUFactorSymbolic, MAT_ICCFactorSymbolic, MAT_Copy, MAT_Convert, MAT_Scale, MAT_AssemblyBegin;
76 extern int MAT_AssemblyEnd, MAT_SetValues, MAT_GetValues, MAT_GetRow, MAT_GetSubMatrices, MAT_GetColoring, MAT_GetOrdering;
77 extern int MAT_IncreaseOverlap, MAT_Partitioning, MAT_ZeroEntries, MAT_Load, MAT_View, MAT_AXPY, MAT_FDColoringCreate;
78 extern int MAT_FDColoringApply, MAT_Transpose, MAT_FDColoringFunction;
79 
80 EXTERN int MatInitializePackage(char *);
81 
82 EXTERN int MatCreate(MPI_Comm,int,int,int,int,Mat*);
83 EXTERN int MatSetType(Mat,MatType);
84 EXTERN int MatSetFromOptions(Mat);
85 EXTERN int MatSetUpPreallocation(Mat);
86 EXTERN int MatRegisterAll(char*);
87 EXTERN int MatRegister(char*,char*,char*,int(*)(Mat));
88 EXTERN int MatSerializeRegister(const char [], const char [], const char [], int (*)(MPI_Comm, Mat *, PetscViewer, PetscTruth));
89 
90 /*MC
91    MatRegisterDynamic - Adds a new matrix type
92 
93    Synopsis:
94    int MatRegisterDynamic(char *name,char *path,char *name_create,int (*routine_create)(Mat))
95 
96    Not Collective
97 
98    Input Parameters:
99 +  name - name of a new user-defined matrix type
100 .  path - path (either absolute or relative) the library containing this solver
101 .  name_create - name of routine to create method context
102 -  routine_create - routine to create method context
103 
104    Notes:
105    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
106 
107    If dynamic libraries are used, then the fourth input argument (routine_create)
108    is ignored.
109 
110    Sample usage:
111 .vb
112    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
113                "MyMatCreate",MyMatCreate);
114 .ve
115 
116    Then, your solver can be chosen with the procedural interface via
117 $     MatSetType(Mat,"my_mat")
118    or at runtime via the option
119 $     -mat_type my_mat
120 
121    Level: advanced
122 
123    Notes: ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
124          If your function is not being put into a shared library then use VecRegister() instead
125 
126 .keywords: Mat, register
127 
128 .seealso: MatRegisterAll(), MatRegisterDestroy()
129 
130 M*/
131 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
132 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
133 #else
134 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
135 #endif
136 
137 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
138 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,0)
139 #else
140 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,d)
141 #endif
142 
143 extern PetscTruth MatRegisterAllCalled;
144 extern PetscFList MatList;
145 
146 EXTERN PetscFList MatSerializeList;
147 EXTERN int MatSerializeRegisterAll(const char []);
148 EXTERN int MatSerializeRegisterDestroy(void);
149 EXTERN int MatSerializeRegisterAllCalled;
150 EXTERN int MatSerialize(MPI_Comm, Mat *, PetscViewer, PetscTruth);
151 EXTERN int MatSetSerializeType(Mat, MatSerializeType);
152 
153 EXTERN int MatCreateSeqDense(MPI_Comm,int,int,PetscScalar[],Mat*);
154 EXTERN int MatCreateMPIDense(MPI_Comm,int,int,int,int,PetscScalar[],Mat*);
155 EXTERN int MatCreateSeqAIJ(MPI_Comm,int,int,int,const int[],Mat*);
156 EXTERN int MatCreateMPIAIJ(MPI_Comm,int,int,int,int,int,const int[],int,const int[],Mat*);
157 EXTERN int MatCreateMPIRowbs(MPI_Comm,int,int,int,const int[],Mat*);
158 EXTERN int MatCreateSeqBDiag(MPI_Comm,int,int,int,int,const int[],PetscScalar*[],Mat*);
159 EXTERN int MatCreateMPIBDiag(MPI_Comm,int,int,int,int,int,const int[],PetscScalar*[],Mat*);
160 EXTERN int MatCreateSeqBAIJ(MPI_Comm,int,int,int,int,const int[],Mat*);
161 EXTERN int MatCreateMPIBAIJ(MPI_Comm,int,int,int,int,int,int,const int[],int,const int[],Mat*);
162 EXTERN int MatCreateMPIAdj(MPI_Comm,int,int,int[],int[],int[],Mat*);
163 EXTERN int MatCreateSeqSBAIJ(MPI_Comm,int,int,int,int,const int[],Mat*);
164 EXTERN int MatCreateMPISBAIJ(MPI_Comm,int,int,int,int,int,int,const int[],int,const int[],Mat*);
165 EXTERN int MatCreateShell(MPI_Comm,int,int,int,int,void *,Mat*);
166 EXTERN int MatCreateAdic(MPI_Comm,int,int,int,int,int,void (*)(void),Mat*);
167 EXTERN int MatCreateNormal(Mat,Mat*);
168 EXTERN int MatDestroy(Mat);
169 
170 EXTERN int MatPrintHelp(Mat);
171 EXTERN int MatGetPetscMaps(Mat,PetscMap*,PetscMap*);
172 
173 /* ------------------------------------------------------------*/
174 EXTERN int MatSetValues(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
175 EXTERN int MatSetValuesBlocked(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
176 
177 /*S
178      MatStencil - Data structure (C struct) for storing information about a single row or
179         column of a matrix as index on an associated grid.
180 
181    Level: beginner
182 
183   Concepts: matrix; linear operator
184 
185 .seealso:  MatSetValuesStencil(), MatSetStencil()
186 S*/
187 typedef struct {
188   int k,j,i,c;
189 } MatStencil;
190 
191 EXTERN int MatSetValuesStencil(Mat,int,const MatStencil[],int,const MatStencil[],const PetscScalar[],InsertMode);
192 EXTERN int MatSetValuesBlockedStencil(Mat,int,const MatStencil[],int,const MatStencil[],const PetscScalar[],InsertMode);
193 EXTERN int MatSetStencil(Mat,int,const int[],const int[],int);
194 
195 EXTERN int MatSetColoring(Mat,ISColoring);
196 EXTERN int MatSetValuesAdic(Mat,void*);
197 EXTERN int MatSetValuesAdifor(Mat,int,void*);
198 
199 /*E
200     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
201      to continue to add values to it
202 
203     Level: beginner
204 
205 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
206 E*/
207 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
208 EXTERN int MatAssemblyBegin(Mat,MatAssemblyType);
209 EXTERN int MatAssemblyEnd(Mat,MatAssemblyType);
210 EXTERN int MatAssembled(Mat,PetscTruth*);
211 
212 /*MC
213    MatSetValue - Set a single entry into a matrix.
214 
215    Synopsis:
216    int MatSetValue(Mat m,int row,int col,PetscScalar value,InsertMode mode);
217 
218    Not collective
219 
220    Input Parameters:
221 +  m - the matrix
222 .  row - the row location of the entry
223 .  col - the column location of the entry
224 .  value - the value to insert
225 -  mode - either INSERT_VALUES or ADD_VALUES
226 
227    Notes:
228    For efficiency one should use MatSetValues() and set several or many
229    values simultaneously if possible.
230 
231    Note that MatSetValue() does NOT return an error code (since this
232    is checked internally).
233 
234    Level: beginner
235 
236 .seealso: MatSetValues(), MatSetValueLocal()
237 M*/
238 #define MatSetValue(v,i,j,va,mode) \
239 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
240   _ierr = MatSetValues(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
241 }
242 
243 #define MatGetValue(v,i,j,va) \
244 0; {int _ierr,_row = i,_col = j; \
245   _ierr = MatGetValues(v,1,&_row,1,&_col,&va);CHKERRQ(_ierr); \
246 }
247 
248 #define MatSetValueLocal(v,i,j,va,mode) \
249 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
250   _ierr = MatSetValuesLocal(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
251 }
252 
253 /*E
254     MatOption - Options that may be set for a matrix and its behavior or storage
255 
256     Level: beginner
257 
258    Any additions/changes here MUST also be made in include/finclude/petscmat.h
259 
260 .seealso: MatSetOption()
261 E*/
262 typedef enum {MAT_ROW_ORIENTED=1,MAT_COLUMN_ORIENTED=2,MAT_ROWS_SORTED=4,
263               MAT_COLUMNS_SORTED=8,MAT_NO_NEW_NONZERO_LOCATIONS=16,
264               MAT_YES_NEW_NONZERO_LOCATIONS=32,MAT_SYMMETRIC=64,
265               MAT_STRUCTURALLY_SYMMETRIC=65,MAT_NO_NEW_DIAGONALS=66,
266               MAT_YES_NEW_DIAGONALS=67,MAT_INODE_LIMIT_1=68,MAT_INODE_LIMIT_2=69,
267               MAT_INODE_LIMIT_3=70,MAT_INODE_LIMIT_4=71,MAT_INODE_LIMIT_5=72,
268               MAT_IGNORE_OFF_PROC_ENTRIES=73,MAT_ROWS_UNSORTED=74,
269               MAT_COLUMNS_UNSORTED=75,MAT_NEW_NONZERO_LOCATION_ERR=76,
270               MAT_NEW_NONZERO_ALLOCATION_ERR=77,MAT_USE_HASH_TABLE=78,
271               MAT_KEEP_ZEROED_ROWS=79,MAT_IGNORE_ZERO_ENTRIES=80,MAT_USE_INODES=81,
272               MAT_DO_NOT_USE_INODES=82} MatOption;
273 EXTERN int MatSetOption(Mat,MatOption);
274 EXTERN int MatGetType(Mat,MatType*);
275 
276 EXTERN int MatGetValues(Mat,int,const int[],int,const int[],PetscScalar[]);
277 EXTERN int MatGetRow(Mat,int,int *,int *[],PetscScalar*[]);
278 EXTERN int MatRestoreRow(Mat,int,int *,int *[],PetscScalar*[]);
279 EXTERN int MatGetColumn(Mat,int,int *,int *[],PetscScalar*[]);
280 EXTERN int MatRestoreColumn(Mat,int,int *,int *[],PetscScalar*[]);
281 EXTERN int MatGetColumnVector(Mat,Vec,int);
282 EXTERN int MatGetArray(Mat,PetscScalar *[]);
283 EXTERN int MatRestoreArray(Mat,PetscScalar *[]);
284 EXTERN int MatGetBlockSize(Mat,int *);
285 
286 EXTERN int MatMult(Mat,Vec,Vec);
287 EXTERN int MatMultAdd(Mat,Vec,Vec,Vec);
288 EXTERN int MatMultTranspose(Mat,Vec,Vec);
289 EXTERN int MatIsSymmetric(Mat,Mat,PetscTruth*);
290 EXTERN int MatMultTransposeAdd(Mat,Vec,Vec,Vec);
291 EXTERN int MatMultConstrained(Mat,Vec,Vec);
292 EXTERN int MatMultTransposeConstrained(Mat,Vec,Vec);
293 
294 /*E
295     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
296   its numerical values copied over or just its nonzero structure.
297 
298     Level: beginner
299 
300    Any additions/changes here MUST also be made in include/finclude/petscmat.h
301 
302 .seealso: MatDuplicate()
303 E*/
304 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption;
305 
306 EXTERN int MatConvertRegister(char*,char*,char*,int (*)(Mat,MatType,Mat*));
307 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
308 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0)
309 #else
310 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d)
311 #endif
312 EXTERN int        MatConvertRegisterAll(char*);
313 EXTERN int        MatConvertRegisterDestroy(void);
314 extern PetscTruth MatConvertRegisterAllCalled;
315 extern PetscFList MatConvertList;
316 EXTERN int        MatConvert(Mat,MatType,Mat*);
317 EXTERN int        MatDuplicate(Mat,MatDuplicateOption,Mat*);
318 
319 /*E
320     MatStructure - Indicates if the matrix has the same nonzero structure
321 
322     Level: beginner
323 
324    Any additions/changes here MUST also be made in include/finclude/petscmat.h
325 
326 .seealso: MatCopy(), SLESSetOperators(), PCSetOperators()
327 E*/
328 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
329 
330 EXTERN int MatCopy(Mat,Mat,MatStructure);
331 EXTERN int MatView(Mat,PetscViewer);
332 
333 EXTERN int MatLoadRegister(char*,char*,char*,int (*)(PetscViewer,MatType,Mat*));
334 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
335 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,0)
336 #else
337 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,d)
338 #endif
339 EXTERN int        MatLoadRegisterAll(char*);
340 EXTERN int        MatLoadRegisterDestroy(void);
341 extern PetscTruth MatLoadRegisterAllCalled;
342 extern PetscFList MatLoadList;
343 EXTERN int        MatLoad(PetscViewer,MatType,Mat*);
344 EXTERN int        MatMerge(MPI_Comm,Mat,Mat*);
345 
346 EXTERN int MatGetRowIJ(Mat,int,PetscTruth,int*,int *[],int *[],PetscTruth *);
347 EXTERN int MatRestoreRowIJ(Mat,int,PetscTruth,int *,int *[],int *[],PetscTruth *);
348 EXTERN int MatGetColumnIJ(Mat,int,PetscTruth,int*,int *[],int *[],PetscTruth *);
349 EXTERN int MatRestoreColumnIJ(Mat,int,PetscTruth,int *,int *[],int *[],PetscTruth *);
350 
351 /*S
352      MatInfo - Context of matrix information, used with MatGetInfo()
353 
354    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
355 
356    Level: intermediate
357 
358   Concepts: matrix^nonzero information
359 
360 .seealso:  MatGetInfo(), MatInfoType
361 S*/
362 typedef struct {
363   PetscLogDouble rows_global,columns_global;         /* number of global rows and columns */
364   PetscLogDouble rows_local,columns_local;           /* number of local rows and columns */
365   PetscLogDouble block_size;                         /* block size */
366   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
367   PetscLogDouble memory;                             /* memory allocated */
368   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
369   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
370   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
371   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
372 } MatInfo;
373 
374 /*E
375     MatInfoType - Indicates if you want information about the local part of the matrix,
376      the entire parallel matrix or the maximum over all the local parts.
377 
378     Level: beginner
379 
380    Any additions/changes here MUST also be made in include/finclude/petscmat.h
381 
382 .seealso: MatGetInfo(), MatInfo
383 E*/
384 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
385 EXTERN int MatGetInfo(Mat,MatInfoType,MatInfo*);
386 EXTERN int MatValid(Mat,PetscTruth*);
387 EXTERN int MatGetDiagonal(Mat,Vec);
388 EXTERN int MatGetRowMax(Mat,Vec);
389 EXTERN int MatTranspose(Mat,Mat*);
390 EXTERN int MatPermute(Mat,IS,IS,Mat *);
391 EXTERN int MatPermuteSparsify(Mat,int,PetscReal,PetscReal,IS,IS,Mat *);
392 EXTERN int MatDiagonalScale(Mat,Vec,Vec);
393 EXTERN int MatDiagonalSet(Mat,Vec,InsertMode);
394 EXTERN int MatEqual(Mat,Mat,PetscTruth*);
395 
396 EXTERN int MatNorm(Mat,NormType,PetscReal *);
397 EXTERN int MatZeroEntries(Mat);
398 EXTERN int MatZeroRows(Mat,IS,const PetscScalar*);
399 EXTERN int MatZeroColumns(Mat,IS,const PetscScalar*);
400 
401 EXTERN int MatUseScaledForm(Mat,PetscTruth);
402 EXTERN int MatScaleSystem(Mat,Vec,Vec);
403 EXTERN int MatUnScaleSystem(Mat,Vec,Vec);
404 
405 EXTERN int MatGetSize(Mat,int*,int*);
406 EXTERN int MatGetLocalSize(Mat,int*,int*);
407 EXTERN int MatGetOwnershipRange(Mat,int*,int*);
408 
409 /*E
410     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
411      or MatGetSubMatrix() are to be reused to store the new matrix values.
412 
413     Level: beginner
414 
415    Any additions/changes here MUST also be made in include/finclude/petscmat.h
416 
417 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices()
418 E*/
419 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse;
420 EXTERN int MatGetSubMatrices(Mat,int,const IS[],const IS[],MatReuse,Mat *[]);
421 EXTERN int MatDestroyMatrices(int,Mat *[]);
422 EXTERN int MatGetSubMatrix(Mat,IS,IS,int,MatReuse,Mat *);
423 
424 EXTERN int MatIncreaseOverlap(Mat,int,IS[],int);
425 
426 EXTERN int MatAXPY(const PetscScalar *,Mat,Mat,MatStructure);
427 EXTERN int MatAYPX(const PetscScalar *,Mat,Mat);
428 EXTERN int MatCompress(Mat);
429 
430 EXTERN int MatScale(const PetscScalar *,Mat);
431 EXTERN int MatShift(const PetscScalar *,Mat);
432 
433 EXTERN int MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
434 EXTERN int MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
435 EXTERN int MatZeroRowsLocal(Mat,IS,const PetscScalar*);
436 EXTERN int MatSetValuesLocal(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
437 EXTERN int MatSetValuesBlockedLocal(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
438 
439 EXTERN int MatSetStashInitialSize(Mat,int,int);
440 
441 EXTERN int MatInterpolateAdd(Mat,Vec,Vec,Vec);
442 EXTERN int MatInterpolate(Mat,Vec,Vec);
443 EXTERN int MatRestrict(Mat,Vec,Vec);
444 
445 
446 /*MC
447    MatPreallocInitialize - Begins the block of code that will count the number of nonzeros per
448        row in a matrix providing the data that one can use to correctly preallocate the matrix.
449 
450    Synopsis:
451    int MatPreallocateInitialize(MPI_Comm comm, int nrows, int ncols, int *dnz, int *onz)
452 
453    Collective on MPI_Comm
454 
455    Input Parameters:
456 +  comm - the communicator that will share the eventually allocated matrix
457 .  nrows - the number of rows in the matrix
458 -  ncols - the number of columns in the matrix
459 
460    Output Parameters:
461 +  dnz - the array that will be passed to the matrix preallocation routines
462 -  ozn - the other array passed to the matrix preallocation routines
463 
464 
465    Level: intermediate
466 
467    Notes:
468    See the chapter in the users manual on performance for more details
469 
470    Do not malloc or free dnz and onz that is handled internally by these routines
471 
472    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
473 
474   Concepts: preallocation^Matrix
475 
476 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
477           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
478 M*/
479 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
480 { \
481   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
482   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
483   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
484   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
485   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
486 
487 /*MC
488    MatPreallocSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
489        row in a matrix providing the data that one can use to correctly preallocate the matrix.
490 
491    Synopsis:
492    int MatPreallocateSymmetricInitialize(MPI_Comm comm, int nrows, int ncols, int *dnz, int *onz)
493 
494    Collective on MPI_Comm
495 
496    Input Parameters:
497 +  comm - the communicator that will share the eventually allocated matrix
498 .  nrows - the number of rows in the matrix
499 -  ncols - the number of columns in the matrix
500 
501    Output Parameters:
502 +  dnz - the array that will be passed to the matrix preallocation routines
503 -  ozn - the other array passed to the matrix preallocation routines
504 
505 
506    Level: intermediate
507 
508    Notes:
509    See the chapter in the users manual on performance for more details
510 
511    Do not malloc or free dnz and onz that is handled internally by these routines
512 
513   Concepts: preallocation^Matrix
514 
515 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
516           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
517 M*/
518 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
519 { \
520   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__end; \
521   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
522   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
523   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
524   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
525 
526 /*MC
527    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
528        inserted using a local number of the rows and columns
529 
530    Synopsis:
531    int MatPreallocateSetLocal(ISLocalToGlobalMappping map,int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
532 
533    Not Collective
534 
535    Input Parameters:
536 +  map - the mapping between local numbering and global numbering
537 .  nrows - the number of rows indicated
538 .  rows - the indices of the rows (these will be mapped in the
539 .  ncols - the number of columns in the matrix
540 .  cols - the columns indicated
541 .  dnz - the array that will be passed to the matrix preallocation routines
542 -  ozn - the other array passed to the matrix preallocation routines
543 
544 
545    Level: intermediate
546 
547    Notes:
548    See the chapter in the users manual on performance for more details
549 
550    Do not malloc or free dnz and onz that is handled internally by these routines
551 
552   Concepts: preallocation^Matrix
553 
554 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
555           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
556 M*/
557 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
558 {\
559   int __l;\
560   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
561   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
562   for (__l=0;__l<nrows;__l++) {\
563     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
564   }\
565 }
566 
567 /*MC
568    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
569        inserted using a local number of the rows and columns
570 
571    Synopsis:
572    int MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
573 
574    Not Collective
575 
576    Input Parameters:
577 +  map - the mapping between local numbering and global numbering
578 .  nrows - the number of rows indicated
579 .  rows - the indices of the rows (these will be mapped in the
580 .  ncols - the number of columns in the matrix
581 .  cols - the columns indicated
582 .  dnz - the array that will be passed to the matrix preallocation routines
583 -  ozn - the other array passed to the matrix preallocation routines
584 
585 
586    Level: intermediate
587 
588    Notes:
589    See the chapter in the users manual on performance for more details
590 
591    Do not malloc or free dnz and onz that is handled internally by these routines
592 
593   Concepts: preallocation^Matrix
594 
595 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
596           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
597 M*/
598 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
599 {\
600   int __l;\
601   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
602   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
603   for (__l=0;__l<nrows;__l++) {\
604     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
605   }\
606 }
607 
608 /*MC
609    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
610        inserted using a local number of the rows and columns
611 
612    Synopsis:
613    int MatPreallocateSet(int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
614 
615    Not Collective
616 
617    Input Parameters:
618 +  nrows - the number of rows indicated
619 .  rows - the indices of the rows (these will be mapped in the
620 .  ncols - the number of columns in the matrix
621 .  cols - the columns indicated
622 .  dnz - the array that will be passed to the matrix preallocation routines
623 -  ozn - the other array passed to the matrix preallocation routines
624 
625 
626    Level: intermediate
627 
628    Notes:
629    See the chapter in the users manual on performance for more details
630 
631    Do not malloc or free dnz and onz that is handled internally by these routines
632 
633   Concepts: preallocation^Matrix
634 
635 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
636           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
637 M*/
638 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
639 { int __i; \
640   for (__i=0; __i<nc; __i++) {\
641     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
642   }\
643   dnz[row - __rstart] = nc - onz[row - __rstart];\
644 }
645 
646 /*MC
647    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
648        inserted using a local number of the rows and columns
649 
650    Synopsis:
651    int MatPreallocateSymmetricSet(int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
652 
653    Not Collective
654 
655    Input Parameters:
656 +  nrows - the number of rows indicated
657 .  rows - the indices of the rows (these will be mapped in the
658 .  ncols - the number of columns in the matrix
659 .  cols - the columns indicated
660 .  dnz - the array that will be passed to the matrix preallocation routines
661 -  ozn - the other array passed to the matrix preallocation routines
662 
663 
664    Level: intermediate
665 
666    Notes:
667    See the chapter in the users manual on performance for more details
668 
669    Do not malloc or free dnz and onz that is handled internally by these routines
670 
671   Concepts: preallocation^Matrix
672 
673 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
674           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
675 M*/
676 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
677 { int __i; \
678   for (__i=0; __i<nc; __i++) {\
679     if (cols[__i] >= __end) onz[row - __rstart]++; \
680     else if (cols[__i] >= row) dnz[row - __rstart]++;\
681   }\
682 }
683 
684 /*MC
685    MatPreallocFinalize - Ends the block of code that will count the number of nonzeros per
686        row in a matrix providing the data that one can use to correctly preallocate the matrix.
687 
688    Synopsis:
689    int MatPreallocateFinalize(int *dnz, int *onz)
690 
691    Collective on MPI_Comm
692 
693    Input Parameters:
694 +  dnz - the array that will be passed to the matrix preallocation routines
695 -  ozn - the other array passed to the matrix preallocation routines
696 
697 
698    Level: intermediate
699 
700    Notes:
701    See the chapter in the users manual on performance for more details
702 
703    Do not malloc or free dnz and onz that is handled internally by these routines
704 
705   Concepts: preallocation^Matrix
706 
707 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
708           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
709 M*/
710 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);}
711 
712 
713 
714 /* Routines unique to particular data structures */
715 EXTERN int MatShellGetContext(Mat,void **);
716 
717 EXTERN int MatBDiagGetData(Mat,int*,int*,int*[],int*[],PetscScalar***);
718 EXTERN int MatSeqAIJSetColumnIndices(Mat,int[]);
719 EXTERN int MatSeqBAIJSetColumnIndices(Mat,int[]);
720 EXTERN int MatCreateSeqAIJWithArrays(MPI_Comm,int,int,int[],int[],PetscScalar[],Mat*);
721 
722 EXTERN int MatSeqBAIJSetPreallocation(Mat,int,int,const int[]);
723 EXTERN int MatSeqSBAIJSetPreallocation(Mat,int,int,const int[]);
724 EXTERN int MatSeqAIJSetPreallocation(Mat,int,const int[]);
725 EXTERN int MatSeqDensePreallocation(Mat,PetscScalar[]);
726 EXTERN int MatSeqBDiagSetPreallocation(Mat,int,int,const int[],PetscScalar*[]);
727 EXTERN int MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
728 
729 EXTERN int MatMPIBAIJSetPreallocation(Mat,int,int,const int[],int,const int[]);
730 EXTERN int MatMPISBAIJSetPreallocation(Mat,int,int,const int[],int,const int[]);
731 EXTERN int MatMPIAIJSetPreallocation(Mat,int,const int[],int,const int[]);
732 EXTERN int MatMPIDensePreallocation(Mat,PetscScalar[]);
733 EXTERN int MatMPIBDiagSetPreallocation(Mat,int,int,const int[],PetscScalar*[]);
734 EXTERN int MatMPIAdjSetPreallocation(Mat,int[],int[],int[]);
735 EXTERN int MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
736 EXTERN int MatMPIRowbsSetPreallocation(Mat,int,const int[]);
737 EXTERN int MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,int*[]);
738 EXTERN int MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,int*[]);
739 EXTERN int MatAdicSetLocalFunction(Mat,void (*)(void));
740 
741 EXTERN int MatSeqDenseSetLDA(Mat,int);
742 
743 EXTERN int MatStoreValues(Mat);
744 EXTERN int MatRetrieveValues(Mat);
745 
746 EXTERN int MatDAADSetCtx(Mat,void*);
747 
748 /*
749   These routines are not usually accessed directly, rather solving is
750   done through the SLES, KSP and PC interfaces.
751 */
752 
753 /*E
754     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
755        with an optional dynamic library name, for example
756        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
757 
758    Level: beginner
759 
760 .seealso: MatGetOrdering()
761 E*/
762 typedef char* MatOrderingType;
763 #define MATORDERING_NATURAL   "natural"
764 #define MATORDERING_ND        "nd"
765 #define MATORDERING_1WD       "1wd"
766 #define MATORDERING_RCM       "rcm"
767 #define MATORDERING_QMD       "qmd"
768 #define MATORDERING_ROWLENGTH "rowlength"
769 #define MATORDERING_DSC_ND    "dsc_nd"
770 #define MATORDERING_DSC_MMD   "dsc_mmd"
771 #define MATORDERING_DSC_MDF   "dsc_mdf"
772 #define MATORDERING_CONSTRAINED "constrained"
773 #define MATORDERING_IDENTITY  "identity"
774 #define MATORDERING_REVERSE   "reverse"
775 
776 EXTERN int MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
777 EXTERN int MatOrderingRegister(char*,char*,char*,int(*)(Mat,MatOrderingType,IS*,IS*));
778 
779 /*MC
780    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the
781                                matrix package.
782 
783    Synopsis:
784    int MatOrderingRegisterDynamic(char *name_ordering,char *path,char *name_create,int (*routine_create)(MatOrdering))
785 
786    Not Collective
787 
788    Input Parameters:
789 +  sname - name of ordering (for example MATORDERING_ND)
790 .  path - location of library where creation routine is
791 .  name - name of function that creates the ordering type,a string
792 -  function - function pointer that creates the ordering
793 
794    Level: developer
795 
796    If dynamic libraries are used, then the fourth input argument (function)
797    is ignored.
798 
799    Sample usage:
800 .vb
801    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
802                "MyOrder",MyOrder);
803 .ve
804 
805    Then, your partitioner can be chosen with the procedural interface via
806 $     MatOrderingSetType(part,"my_order)
807    or at runtime via the option
808 $     -pc_ilu_mat_ordering_type my_order
809 $     -pc_lu_mat_ordering_type my_order
810 
811    ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
812 
813 .keywords: matrix, ordering, register
814 
815 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
816 M*/
817 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
818 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
819 #else
820 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
821 #endif
822 
823 EXTERN int        MatOrderingRegisterDestroy(void);
824 EXTERN int        MatOrderingRegisterAll(char*);
825 extern PetscTruth MatOrderingRegisterAllCalled;
826 extern PetscFList MatOrderingList;
827 
828 EXTERN int MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
829 
830 /*S
831    MatFactorInfo - Data based into the matrix factorization routines
832 
833    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE
834 
835    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
836 
837    Level: developer
838 
839 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor()
840 
841 S*/
842 typedef struct {
843   PetscReal     damping;        /* scaling of identity added to matrix to prevent zero pivots */
844   PetscReal     shift;          /* if true, shift until positive pivots */
845   PetscReal     shift_fraction; /* record shift fraction taken */
846   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
847   PetscReal     dt;             /* drop tolerance */
848   PetscReal     dtcol;          /* tolerance for pivoting */
849   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
850   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
851   PetscReal     levels;         /* ICC/ILU(levels) */
852   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
853                                    factorization may be faster if do not pivot */
854   PetscReal     zeropivot;      /* pivot is called zero if less than this */
855 } MatFactorInfo;
856 
857 EXTERN int MatCholeskyFactor(Mat,IS,MatFactorInfo*);
858 EXTERN int MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
859 EXTERN int MatCholeskyFactorNumeric(Mat,Mat*);
860 EXTERN int MatLUFactor(Mat,IS,IS,MatFactorInfo*);
861 EXTERN int MatILUFactor(Mat,IS,IS,MatFactorInfo*);
862 EXTERN int MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
863 EXTERN int MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
864 EXTERN int MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
865 EXTERN int MatICCFactor(Mat,IS,MatFactorInfo*);
866 EXTERN int MatLUFactorNumeric(Mat,Mat*);
867 EXTERN int MatILUDTFactor(Mat,MatFactorInfo*,IS,IS,Mat *);
868 EXTERN int MatGetInertia(Mat,int*,int*,int*);
869 EXTERN int MatSolve(Mat,Vec,Vec);
870 EXTERN int MatForwardSolve(Mat,Vec,Vec);
871 EXTERN int MatBackwardSolve(Mat,Vec,Vec);
872 EXTERN int MatSolveAdd(Mat,Vec,Vec,Vec);
873 EXTERN int MatSolveTranspose(Mat,Vec,Vec);
874 EXTERN int MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
875 EXTERN int MatSolves(Mat,Vecs,Vecs);
876 
877 EXTERN int MatSetUnfactored(Mat);
878 
879 /*E
880     MatSORType - What type of (S)SOR to perform
881 
882     Level: beginner
883 
884    May be bitwise ORd together
885 
886    Any additions/changes here MUST also be made in include/finclude/petscmat.h
887 
888    MatSORType may be bitwise ORd together, so do not change the numbers
889 
890 .seealso: MatRelax()
891 E*/
892 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
893               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
894               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
895               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
896 EXTERN int MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,int,int,Vec);
897 
898 /*
899     These routines are for efficiently computing Jacobians via finite differences.
900 */
901 
902 /*E
903     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
904        with an optional dynamic library name, for example
905        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
906 
907    Level: beginner
908 
909 .seealso: MatGetColoring()
910 E*/
911 typedef char* MatColoringType;
912 #define MATCOLORING_NATURAL "natural"
913 #define MATCOLORING_SL      "sl"
914 #define MATCOLORING_LF      "lf"
915 #define MATCOLORING_ID      "id"
916 
917 EXTERN int MatGetColoring(Mat,MatColoringType,ISColoring*);
918 EXTERN int MatColoringRegister(char*,char*,char*,int(*)(Mat,MatColoringType,ISColoring *));
919 
920 /*MC
921    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
922                                matrix package.
923 
924    Synopsis:
925    int MatColoringRegisterDynamic(char *name_coloring,char *path,char *name_create,int (*routine_create)(MatColoring))
926 
927    Not Collective
928 
929    Input Parameters:
930 +  sname - name of Coloring (for example MATCOLORING_SL)
931 .  path - location of library where creation routine is
932 .  name - name of function that creates the Coloring type, a string
933 -  function - function pointer that creates the coloring
934 
935    Level: developer
936 
937    If dynamic libraries are used, then the fourth input argument (function)
938    is ignored.
939 
940    Sample usage:
941 .vb
942    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
943                "MyColor",MyColor);
944 .ve
945 
946    Then, your partitioner can be chosen with the procedural interface via
947 $     MatColoringSetType(part,"my_color")
948    or at runtime via the option
949 $     -mat_coloring_type my_color
950 
951    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
952 
953 .keywords: matrix, Coloring, register
954 
955 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
956 M*/
957 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
958 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
959 #else
960 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
961 #endif
962 
963 EXTERN int        MatColoringRegisterAll(char *);
964 extern PetscTruth MatColoringRegisterAllCalled;
965 EXTERN int        MatColoringRegisterDestroy(void);
966 EXTERN int        MatColoringPatch(Mat,int,int,const ISColoringValue[],ISColoring*);
967 
968 /*S
969      MatFDColoring - Object for computing a sparse Jacobian via finite differences
970         and coloring
971 
972    Level: beginner
973 
974   Concepts: coloring, sparse Jacobian, finite differences
975 
976 .seealso:  MatFDColoringCreate()
977 S*/
978 typedef struct _p_MatFDColoring *MatFDColoring;
979 
980 EXTERN int MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
981 EXTERN int MatFDColoringDestroy(MatFDColoring);
982 EXTERN int MatFDColoringView(MatFDColoring,PetscViewer);
983 EXTERN int MatFDColoringSetFunction(MatFDColoring,int (*)(void),void*);
984 EXTERN int MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
985 EXTERN int MatFDColoringSetFrequency(MatFDColoring,int);
986 EXTERN int MatFDColoringGetFrequency(MatFDColoring,int*);
987 EXTERN int MatFDColoringSetFromOptions(MatFDColoring);
988 EXTERN int MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
989 EXTERN int MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
990 EXTERN int MatFDColoringSetRecompute(MatFDColoring);
991 EXTERN int MatFDColoringSetF(MatFDColoring,Vec);
992 EXTERN int MatFDColoringGetPerturbedColumns(MatFDColoring,int*,int*[]);
993 /*
994     These routines are for partitioning matrices: currently used only
995   for adjacency matrix, MatCreateMPIAdj().
996 */
997 
998 /*S
999      MatPartitioning - Object for managing the partitioning of a matrix or graph
1000 
1001    Level: beginner
1002 
1003   Concepts: partitioning
1004 
1005 .seealso:  MatPartitioningCreate(), MatPartitioningType
1006 S*/
1007 typedef struct _p_MatPartitioning *MatPartitioning;
1008 
1009 /*E
1010     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1011        with an optional dynamic library name, for example
1012        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1013 
1014    Level: beginner
1015 
1016 .seealso: MatPartitioningCreate(), MatPartitioning
1017 E*/
1018 typedef char* MatPartitioningType;
1019 #define MAT_PARTITIONING_CURRENT  "current"
1020 #define MAT_PARTITIONING_PARMETIS "parmetis"
1021 
1022 EXTERN int MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1023 EXTERN int MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1024 EXTERN int MatPartitioningSetNParts(MatPartitioning,int);
1025 EXTERN int MatPartitioningSetAdjacency(MatPartitioning,Mat);
1026 EXTERN int MatPartitioningSetVertexWeights(MatPartitioning,const int[]);
1027 EXTERN int MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1028 EXTERN int MatPartitioningApply(MatPartitioning,IS*);
1029 EXTERN int MatPartitioningDestroy(MatPartitioning);
1030 
1031 EXTERN int MatPartitioningRegister(char*,char*,char*,int(*)(MatPartitioning));
1032 
1033 /*MC
1034    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1035    matrix package.
1036 
1037    Synopsis:
1038    int MatPartitioningRegisterDynamic(char *name_partitioning,char *path,char *name_create,int (*routine_create)(MatPartitioning))
1039 
1040    Not Collective
1041 
1042    Input Parameters:
1043 +  sname - name of partitioning (for example MAT_PARTITIONING_CURRENT) or parmetis
1044 .  path - location of library where creation routine is
1045 .  name - name of function that creates the partitioning type, a string
1046 -  function - function pointer that creates the partitioning type
1047 
1048    Level: developer
1049 
1050    If dynamic libraries are used, then the fourth input argument (function)
1051    is ignored.
1052 
1053    Sample usage:
1054 .vb
1055    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1056                "MyPartCreate",MyPartCreate);
1057 .ve
1058 
1059    Then, your partitioner can be chosen with the procedural interface via
1060 $     MatPartitioningSetType(part,"my_part")
1061    or at runtime via the option
1062 $     -mat_partitioning_type my_part
1063 
1064    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
1065 
1066 .keywords: matrix, partitioning, register
1067 
1068 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1069 M*/
1070 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1071 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1072 #else
1073 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1074 #endif
1075 
1076 EXTERN int        MatPartitioningRegisterAll(char *);
1077 extern PetscTruth MatPartitioningRegisterAllCalled;
1078 EXTERN int        MatPartitioningRegisterDestroy(void);
1079 
1080 EXTERN int MatPartitioningView(MatPartitioning,PetscViewer);
1081 EXTERN int MatPartitioningSetFromOptions(MatPartitioning);
1082 EXTERN int MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1083 
1084 EXTERN int MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1085 
1086 /*
1087     If you add entries here you must also add them to finclude/petscmat.h
1088 */
1089 typedef enum { MATOP_SET_VALUES=0,
1090                MATOP_GET_ROW=1,
1091                MATOP_RESTORE_ROW=2,
1092                MATOP_MULT=3,
1093                MATOP_MULT_ADD=4,
1094                MATOP_MULT_TRANSPOSE=5,
1095                MATOP_MULT_TRANSPOSE_ADD=6,
1096                MATOP_SOLVE=7,
1097                MATOP_SOLVE_ADD=8,
1098                MATOP_SOLVE_TRANSPOSE=9,
1099                MATOP_SOLVE_TRANSPOSE_ADD=10,
1100                MATOP_LUFACTOR=11,
1101                MATOP_CHOLESKYFACTOR=12,
1102                MATOP_RELAX=13,
1103                MATOP_TRANSPOSE=14,
1104                MATOP_GETINFO=15,
1105                MATOP_EQUAL=16,
1106                MATOP_GET_DIAGONAL=17,
1107                MATOP_DIAGONAL_SCALE=18,
1108                MATOP_NORM=19,
1109                MATOP_ASSEMBLY_BEGIN=20,
1110                MATOP_ASSEMBLY_END=21,
1111                MATOP_COMPRESS=22,
1112                MATOP_SET_OPTION=23,
1113                MATOP_ZERO_ENTRIES=24,
1114                MATOP_ZERO_ROWS=25,
1115                MATOP_LUFACTOR_SYMBOLIC=26,
1116                MATOP_LUFACTOR_NUMERIC=27,
1117                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
1118                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
1119                MATOP_SETUP_PREALLOCATION=30,
1120                MATOP_ILUFACTOR_SYMBOLIC=31,
1121                MATOP_ICCFACTOR_SYMBOLIC=32,
1122                MATOP_GET_ARRAY=33,
1123                MATOP_RESTORE_ARRAY=34,
1124                MATOP_DUPLCIATE=35,
1125                MATOP_FORWARD_SOLVE=36,
1126                MATOP_BACKWARD_SOLVE=37,
1127                MATOP_ILUFACTOR=38,
1128                MATOP_ICCFACTOR=39,
1129                MATOP_AXPY=40,
1130                MATOP_GET_SUBMATRICES=41,
1131                MATOP_INCREASE_OVERLAP=42,
1132                MATOP_GET_VALUES=43,
1133                MATOP_COPY=44,
1134                MATOP_PRINT_HELP=45,
1135                MATOP_SCALE=46,
1136                MATOP_SHIFT=47,
1137                MATOP_DIAGONAL_SHIFT=48,
1138                MATOP_ILUDT_FACTOR=49,
1139                MATOP_GET_BLOCK_SIZE=50,
1140                MATOP_GET_ROW_IJ=51,
1141                MATOP_RESTORE_ROW_IJ=52,
1142                MATOP_GET_COLUMN_IJ=53,
1143                MATOP_RESTORE_COLUMN_IJ=54,
1144                MATOP_FDCOLORING_CREATE=55,
1145                MATOP_COLORING_PATCH=56,
1146                MATOP_SET_UNFACTORED=57,
1147                MATOP_PERMUTE=58,
1148                MATOP_SET_VALUES_BLOCKED=59,
1149                MATOP_GET_SUBMATRIX=60,
1150                MATOP_DESTROY=61,
1151                MATOP_VIEW=62,
1152                MATOP_GET_MAPS=63,
1153                MATOP_USE_SCALED_FORM=64,
1154                MATOP_SCALE_SYSTEM=65,
1155                MATOP_UNSCALE_SYSTEM=66,
1156                MATOP_SET_LOCAL_TO_GLOBAL_MAPPING=67,
1157                MATOP_SET_VALUES_LOCAL=68,
1158                MATOP_ZERO_ROWS_LOCAL=69,
1159                MATOP_GET_ROW_MAX=70,
1160                MATOP_CONVERT=71,
1161                MATOP_SET_COLORING=72,
1162                MATOP_SET_VALUES_ADIC=73,
1163                MATOP_SET_VALUES_ADIFOR=74,
1164                MATOP_FD_COLORING_APPLY=75,
1165                MATOP_SET_FROM_OPTIONS=76,
1166                MATOP_MULT_CONSTRAINED=77,
1167                MATOP_MULT_TRANSPOSE_CONSTRAINED=78,
1168                MATOP_ILU_FACTOR_SYMBOLIC_CONSTRAINED=79,
1169                MATOP_PERMUTE_SPARSIFY=80,
1170                MATOP_MULT_MULTIPLE=81,
1171                MATOP_SOLVE_MULTIPLE=82
1172              } MatOperation;
1173 EXTERN int MatHasOperation(Mat,MatOperation,PetscTruth*);
1174 EXTERN int MatShellSetOperation(Mat,MatOperation,void(*)(void));
1175 EXTERN int MatShellGetOperation(Mat,MatOperation,void(**)(void));
1176 EXTERN int MatShellSetContext(Mat,void*);
1177 
1178 /*
1179    Codes for matrices stored on disk. By default they are
1180  stored in a universal format. By changing the format with
1181  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
1182  be stored in a way natural for the matrix, for example dense matrices
1183  would be stored as dense. Matrices stored this way may only be
1184  read into matrices of the same time.
1185 */
1186 #define MATRIX_BINARY_FORMAT_DENSE -1
1187 
1188 EXTERN int MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1189 EXTERN int MatSeqAIJGetInodeSizes(Mat,int *,int *[],int *);
1190 EXTERN int MatMPIRowbsGetColor(Mat,ISColoring *);
1191 
1192 /*S
1193      MatNullSpace - Object that removes a null space from a vector, i.e.
1194          orthogonalizes the vector to a subsapce
1195 
1196    Level: advanced
1197 
1198   Concepts: matrix; linear operator, null space
1199 
1200   Users manual sections:
1201 .   sec_singular
1202 
1203 .seealso:  MatNullSpaceCreate()
1204 S*/
1205 typedef struct _p_MatNullSpace* MatNullSpace;
1206 
1207 EXTERN int MatNullSpaceCreate(MPI_Comm,int,int,const Vec[],MatNullSpace*);
1208 EXTERN int MatNullSpaceDestroy(MatNullSpace);
1209 EXTERN int MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1210 EXTERN int MatNullSpaceAttach(Mat,MatNullSpace);
1211 EXTERN int MatNullSpaceTest(MatNullSpace,Mat);
1212 
1213 EXTERN int MatReorderingSeqSBAIJ(Mat A,IS isp);
1214 EXTERN int MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1215 EXTERN int MatSeqSBAIJSetColumnIndices(Mat,int *);
1216 
1217 EXTERN int MatMatMult(Mat A,Mat B, Mat *C);
1218 EXTERN int MatMatMultSymbolic(Mat A,Mat B,Mat *C);
1219 EXTERN int MatMatMultNumeric(Mat A,Mat B,Mat C);
1220 
1221 EXTERN int MatCreateMAIJ(Mat,int,Mat*);
1222 EXTERN int MatMAIJRedimension(Mat,int,Mat*);
1223 EXTERN int MatMAIJGetAIJ(Mat,Mat*);
1224 
1225 EXTERN int MatComputeExplicitOperator(Mat,Mat*);
1226 
1227 EXTERN int MatESISetType(Mat,char*);
1228 EXTERN int MatESISetFromOptions(Mat);
1229 
1230 EXTERN int MatDiagonalScaleLocal(Mat,Vec);
1231 
1232 EXTERN int PetscViewerMathematicaPutMatrix(PetscViewer, int, int, PetscReal *);
1233 EXTERN int PetscViewerMathematicaPutCSRMatrix(PetscViewer, int, int, int *, int *, PetscReal *);
1234 
1235 EXTERN int MatUseSpooles_SeqAIJ(Mat);
1236 EXTERN int MatUseUMFPACK_SeqAIJ(Mat);
1237 EXTERN int MatUseSuperLU_SeqAIJ(Mat);
1238 EXTERN int MatUseEssl_SeqAIJ(Mat);
1239 EXTERN int MatUseLUSOL_SeqAIJ(Mat);
1240 EXTERN int MatUseMatlab_SeqAIJ(Mat);
1241 EXTERN int MatUseDXML_SeqAIJ(Mat);
1242 EXTERN int MatUsePETSc_SeqAIJ(Mat);
1243 EXTERN int MatUseSuperLU_DIST_MPIAIJ(Mat);
1244 EXTERN int MatUseSpooles_MPIAIJ(Mat);
1245 EXTERN int MatUseSpooles_SeqSBAIJ(Mat);
1246 EXTERN int MatUseSpooles_MPISBAIJ(Mat);
1247 EXTERN int MatUseMUMPS_MPIAIJ(Mat);
1248 
1249 #endif
1250 
1251 
1252 
1253