xref: /petsc/include/petscmat.h (revision ae5c748c442eeba00bd27f1d1a295f92f5be2429)
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 typedef char* MatType;
53 
54 #define MAT_SER_SEQAIJ_BINARY "seqaij_binary"
55 #define MAT_SER_MPIAIJ_BINARY "mpiaij_binary"
56 typedef char *MatSerializeType;
57 
58 /* Logging support */
59 #define    MAT_FILE_COOKIE 1211216    /* used to indicate matrices in binary files */
60 extern int MAT_COOKIE;
61 extern int MATSNESMFCTX_COOKIE;
62 extern int MAT_FDCOLORING_COOKIE;
63 extern int MAT_PARTITIONING_COOKIE;
64 extern int MAT_NULLSPACE_COOKIE;
65 extern int MAT_Mult, MAT_MultMatrixFree, MAT_Mults, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
66 extern int MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_Solves, MAT_SolveAdd, MAT_SolveTranspose;
67 extern int MAT_SolveTransposeAdd, MAT_Relax, MAT_ForwardSolve, MAT_BackwardSolve, MAT_LUFactor, MAT_LUFactorSymbolic;
68 extern int MAT_LUFactorNumeric, MAT_CholeskyFactor, MAT_CholeskyFactorSymbolic, MAT_CholeskyFactorNumeric, MAT_ILUFactor;
69 extern int MAT_ILUFactorSymbolic, MAT_ICCFactorSymbolic, MAT_Copy, MAT_Convert, MAT_Scale, MAT_AssemblyBegin;
70 extern int MAT_AssemblyEnd, MAT_SetValues, MAT_GetValues, MAT_GetRow, MAT_GetSubMatrices, MAT_GetColoring, MAT_GetOrdering;
71 extern int MAT_IncreaseOverlap, MAT_Partitioning, MAT_ZeroEntries, MAT_Load, MAT_View, MAT_AXPY, MAT_FDColoringCreate;
72 extern int MAT_FDColoringApply, MAT_Transpose, MAT_FDColoringFunction;
73 
74 EXTERN int MatInitializePackage(char *);
75 
76 EXTERN int MatCreate(MPI_Comm,int,int,int,int,Mat*);
77 EXTERN int MatSetType(Mat,MatType);
78 EXTERN int MatSetFromOptions(Mat);
79 EXTERN int MatSetUpPreallocation(Mat);
80 EXTERN int MatRegisterAll(char*);
81 EXTERN int MatRegister(char*,char*,char*,int(*)(Mat));
82 EXTERN int MatSerializeRegister(const char [], const char [], const char [], int (*)(MPI_Comm, Mat *, PetscViewer, PetscTruth));
83 
84 /*MC
85    MatRegisterDynamic - Adds a new matrix type
86 
87    Synopsis:
88    int MatRegisterDynamic(char *name,char *path,char *name_create,int (*routine_create)(Mat))
89 
90    Not Collective
91 
92    Input Parameters:
93 +  name - name of a new user-defined matrix type
94 .  path - path (either absolute or relative) the library containing this solver
95 .  name_create - name of routine to create method context
96 -  routine_create - routine to create method context
97 
98    Notes:
99    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
100 
101    If dynamic libraries are used, then the fourth input argument (routine_create)
102    is ignored.
103 
104    Sample usage:
105 .vb
106    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
107                "MyMatCreate",MyMatCreate);
108 .ve
109 
110    Then, your solver can be chosen with the procedural interface via
111 $     MatSetType(Mat,"my_mat")
112    or at runtime via the option
113 $     -mat_type my_mat
114 
115    Level: advanced
116 
117    Notes: ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
118          If your function is not being put into a shared library then use VecRegister() instead
119 
120 .keywords: Mat, register
121 
122 .seealso: MatRegisterAll(), MatRegisterDestroy()
123 
124 M*/
125 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
126 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
127 #else
128 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
129 #endif
130 
131 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
132 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,0)
133 #else
134 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,d)
135 #endif
136 
137 extern PetscTruth MatRegisterAllCalled;
138 extern PetscFList MatList;
139 
140 EXTERN PetscFList MatSerializeList;
141 EXTERN int MatSerializeRegisterAll(const char []);
142 EXTERN int MatSerializeRegisterDestroy(void);
143 EXTERN int MatSerializeRegisterAllCalled;
144 EXTERN int MatSerialize(MPI_Comm, Mat *, PetscViewer, PetscTruth);
145 EXTERN int MatSetSerializeType(Mat, MatSerializeType);
146 
147 EXTERN int MatCreateSeqDense(MPI_Comm,int,int,PetscScalar[],Mat*);
148 EXTERN int MatCreateMPIDense(MPI_Comm,int,int,int,int,PetscScalar[],Mat*);
149 EXTERN int MatCreateSeqAIJ(MPI_Comm,int,int,int,const int[],Mat*);
150 EXTERN int MatCreateMPIAIJ(MPI_Comm,int,int,int,int,int,const int[],int,const int[],Mat*);
151 EXTERN int MatCreateMPIRowbs(MPI_Comm,int,int,int,const int[],Mat*);
152 EXTERN int MatCreateSeqBDiag(MPI_Comm,int,int,int,int,const int[],PetscScalar*[],Mat*);
153 EXTERN int MatCreateMPIBDiag(MPI_Comm,int,int,int,int,int,const int[],PetscScalar*[],Mat*);
154 EXTERN int MatCreateSeqBAIJ(MPI_Comm,int,int,int,int,const int[],Mat*);
155 EXTERN int MatCreateMPIBAIJ(MPI_Comm,int,int,int,int,int,int,const int[],int,const int[],Mat*);
156 EXTERN int MatCreateMPIAdj(MPI_Comm,int,int,int[],int[],int[],Mat*);
157 EXTERN int MatCreateSeqSBAIJ(MPI_Comm,int,int,int,int,const int[],Mat*);
158 EXTERN int MatCreateMPISBAIJ(MPI_Comm,int,int,int,int,int,int,const int[],int,const int[],Mat*);
159 EXTERN int MatCreateShell(MPI_Comm,int,int,int,int,void *,Mat*);
160 EXTERN int MatCreateAdic(MPI_Comm,int,int,int,int,int,void (*)(void),Mat*);
161 EXTERN int MatCreateNormal(Mat,Mat*);
162 EXTERN int MatDestroy(Mat);
163 
164 EXTERN int MatPrintHelp(Mat);
165 EXTERN int MatGetPetscMaps(Mat,PetscMap*,PetscMap*);
166 
167 /* ------------------------------------------------------------*/
168 EXTERN int MatSetValues(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
169 EXTERN int MatSetValuesBlocked(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
170 
171 /*S
172      MatStencil - Data structure (C struct) for storing information about a single row or
173         column of a matrix as index on an associated grid.
174 
175    Level: beginner
176 
177   Concepts: matrix; linear operator
178 
179 .seealso:  MatSetValuesStencil(), MatSetStencil()
180 S*/
181 typedef struct {
182   int k,j,i,c;
183 } MatStencil;
184 
185 EXTERN int MatSetValuesStencil(Mat,int,const MatStencil[],int,const MatStencil[],const PetscScalar[],InsertMode);
186 EXTERN int MatSetValuesBlockedStencil(Mat,int,const MatStencil[],int,const MatStencil[],const PetscScalar[],InsertMode);
187 EXTERN int MatSetStencil(Mat,int,const int[],const int[],int);
188 
189 EXTERN int MatSetColoring(Mat,ISColoring);
190 EXTERN int MatSetValuesAdic(Mat,void*);
191 EXTERN int MatSetValuesAdifor(Mat,int,void*);
192 
193 /*E
194     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
195      to continue to add values to it
196 
197     Level: beginner
198 
199 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
200 E*/
201 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
202 EXTERN int MatAssemblyBegin(Mat,MatAssemblyType);
203 EXTERN int MatAssemblyEnd(Mat,MatAssemblyType);
204 EXTERN int MatAssembled(Mat,PetscTruth*);
205 
206 /*MC
207    MatSetValue - Set a single entry into a matrix.
208 
209    Synopsis:
210    int MatSetValue(Mat m,int row,int col,PetscScalar value,InsertMode mode);
211 
212    Not collective
213 
214    Input Parameters:
215 +  m - the matrix
216 .  row - the row location of the entry
217 .  col - the column location of the entry
218 .  value - the value to insert
219 -  mode - either INSERT_VALUES or ADD_VALUES
220 
221    Notes:
222    For efficiency one should use MatSetValues() and set several or many
223    values simultaneously if possible.
224 
225    Note that MatSetValue() does NOT return an error code (since this
226    is checked internally).
227 
228    Level: beginner
229 
230 .seealso: MatSetValues(), MatSetValueLocal()
231 M*/
232 #define MatSetValue(v,i,j,va,mode) \
233 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
234   _ierr = MatSetValues(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
235 }
236 
237 #define MatGetValue(v,i,j,va) \
238 0; {int _ierr,_row = i,_col = j; \
239   _ierr = MatGetValues(v,1,&_row,1,&_col,&va);CHKERRQ(_ierr); \
240 }
241 
242 #define MatSetValueLocal(v,i,j,va,mode) \
243 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
244   _ierr = MatSetValuesLocal(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
245 }
246 
247 /*E
248     MatOption - Options that may be set for a matrix and its behavior or storage
249 
250     Level: beginner
251 
252    Any additions/changes here MUST also be made in include/finclude/petscmat.h
253 
254 .seealso: MatSetOption()
255 E*/
256 typedef enum {MAT_ROW_ORIENTED=1,MAT_COLUMN_ORIENTED=2,MAT_ROWS_SORTED=4,
257               MAT_COLUMNS_SORTED=8,MAT_NO_NEW_NONZERO_LOCATIONS=16,
258               MAT_YES_NEW_NONZERO_LOCATIONS=32,MAT_SYMMETRIC=64,
259               MAT_STRUCTURALLY_SYMMETRIC=65,MAT_NO_NEW_DIAGONALS=66,
260               MAT_YES_NEW_DIAGONALS=67,MAT_INODE_LIMIT_1=68,MAT_INODE_LIMIT_2=69,
261               MAT_INODE_LIMIT_3=70,MAT_INODE_LIMIT_4=71,MAT_INODE_LIMIT_5=72,
262               MAT_IGNORE_OFF_PROC_ENTRIES=73,MAT_ROWS_UNSORTED=74,
263               MAT_COLUMNS_UNSORTED=75,MAT_NEW_NONZERO_LOCATION_ERR=76,
264               MAT_NEW_NONZERO_ALLOCATION_ERR=77,MAT_USE_HASH_TABLE=78,
265               MAT_KEEP_ZEROED_ROWS=79,MAT_IGNORE_ZERO_ENTRIES=80,MAT_USE_INODES=81,
266               MAT_DO_NOT_USE_INODES=82} MatOption;
267 EXTERN int MatSetOption(Mat,MatOption);
268 EXTERN int MatGetType(Mat,MatType*);
269 
270 EXTERN int MatGetValues(Mat,int,const int[],int,const int[],PetscScalar[]);
271 EXTERN int MatGetRow(Mat,int,int *,int *[],PetscScalar*[]);
272 EXTERN int MatRestoreRow(Mat,int,int *,int *[],PetscScalar*[]);
273 EXTERN int MatGetColumn(Mat,int,int *,int *[],PetscScalar*[]);
274 EXTERN int MatRestoreColumn(Mat,int,int *,int *[],PetscScalar*[]);
275 EXTERN int MatGetColumnVector(Mat,Vec,int);
276 EXTERN int MatGetArray(Mat,PetscScalar *[]);
277 EXTERN int MatRestoreArray(Mat,PetscScalar *[]);
278 EXTERN int MatGetBlockSize(Mat,int *);
279 
280 EXTERN int MatMult(Mat,Vec,Vec);
281 EXTERN int MatMultAdd(Mat,Vec,Vec,Vec);
282 EXTERN int MatMultTranspose(Mat,Vec,Vec);
283 EXTERN int MatIsSymmetric(Mat,Mat,PetscTruth*);
284 EXTERN int MatMultTransposeAdd(Mat,Vec,Vec,Vec);
285 EXTERN int MatMultConstrained(Mat,Vec,Vec);
286 EXTERN int MatMultTransposeConstrained(Mat,Vec,Vec);
287 
288 /*E
289     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
290   its numerical values copied over or just its nonzero structure.
291 
292     Level: beginner
293 
294    Any additions/changes here MUST also be made in include/finclude/petscmat.h
295 
296 .seealso: MatDuplicate()
297 E*/
298 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption;
299 
300 EXTERN int MatConvertRegister(char*,char*,char*,int (*)(Mat,MatType,Mat*));
301 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
302 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0)
303 #else
304 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d)
305 #endif
306 EXTERN int        MatConvertRegisterAll(char*);
307 EXTERN int        MatConvertRegisterDestroy(void);
308 extern PetscTruth MatConvertRegisterAllCalled;
309 extern PetscFList MatConvertList;
310 EXTERN int        MatConvert(Mat,MatType,Mat*);
311 EXTERN int        MatDuplicate(Mat,MatDuplicateOption,Mat*);
312 
313 /*E
314     MatStructure - Indicates if the matrix has the same nonzero structure
315 
316     Level: beginner
317 
318    Any additions/changes here MUST also be made in include/finclude/petscmat.h
319 
320 .seealso: MatCopy(), SLESSetOperators(), PCSetOperators()
321 E*/
322 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
323 
324 EXTERN int MatCopy(Mat,Mat,MatStructure);
325 EXTERN int MatView(Mat,PetscViewer);
326 
327 EXTERN int MatLoadRegister(char*,char*,char*,int (*)(PetscViewer,MatType,Mat*));
328 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
329 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,0)
330 #else
331 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,d)
332 #endif
333 EXTERN int        MatLoadRegisterAll(char*);
334 EXTERN int        MatLoadRegisterDestroy(void);
335 extern PetscTruth MatLoadRegisterAllCalled;
336 extern PetscFList MatLoadList;
337 EXTERN int        MatLoad(PetscViewer,MatType,Mat*);
338 EXTERN int        MatMerge(MPI_Comm,Mat,Mat*);
339 
340 EXTERN int MatGetRowIJ(Mat,int,PetscTruth,int*,int *[],int *[],PetscTruth *);
341 EXTERN int MatRestoreRowIJ(Mat,int,PetscTruth,int *,int *[],int *[],PetscTruth *);
342 EXTERN int MatGetColumnIJ(Mat,int,PetscTruth,int*,int *[],int *[],PetscTruth *);
343 EXTERN int MatRestoreColumnIJ(Mat,int,PetscTruth,int *,int *[],int *[],PetscTruth *);
344 
345 /*S
346      MatInfo - Context of matrix information, used with MatGetInfo()
347 
348    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
349 
350    Level: intermediate
351 
352   Concepts: matrix^nonzero information
353 
354 .seealso:  MatGetInfo(), MatInfoType
355 S*/
356 typedef struct {
357   PetscLogDouble rows_global,columns_global;         /* number of global rows and columns */
358   PetscLogDouble rows_local,columns_local;           /* number of local rows and columns */
359   PetscLogDouble block_size;                         /* block size */
360   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
361   PetscLogDouble memory;                             /* memory allocated */
362   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
363   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
364   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
365   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
366 } MatInfo;
367 
368 /*E
369     MatInfoType - Indicates if you want information about the local part of the matrix,
370      the entire parallel matrix or the maximum over all the local parts.
371 
372     Level: beginner
373 
374    Any additions/changes here MUST also be made in include/finclude/petscmat.h
375 
376 .seealso: MatGetInfo(), MatInfo
377 E*/
378 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
379 EXTERN int MatGetInfo(Mat,MatInfoType,MatInfo*);
380 EXTERN int MatValid(Mat,PetscTruth*);
381 EXTERN int MatGetDiagonal(Mat,Vec);
382 EXTERN int MatGetRowMax(Mat,Vec);
383 EXTERN int MatTranspose(Mat,Mat*);
384 EXTERN int MatPermute(Mat,IS,IS,Mat *);
385 EXTERN int MatPermuteSparsify(Mat,int,PetscReal,PetscReal,IS,IS,Mat *);
386 EXTERN int MatDiagonalScale(Mat,Vec,Vec);
387 EXTERN int MatDiagonalSet(Mat,Vec,InsertMode);
388 EXTERN int MatEqual(Mat,Mat,PetscTruth*);
389 
390 EXTERN int MatNorm(Mat,NormType,PetscReal *);
391 EXTERN int MatZeroEntries(Mat);
392 EXTERN int MatZeroRows(Mat,IS,const PetscScalar*);
393 EXTERN int MatZeroColumns(Mat,IS,const PetscScalar*);
394 
395 EXTERN int MatUseScaledForm(Mat,PetscTruth);
396 EXTERN int MatScaleSystem(Mat,Vec,Vec);
397 EXTERN int MatUnScaleSystem(Mat,Vec,Vec);
398 
399 EXTERN int MatGetSize(Mat,int*,int*);
400 EXTERN int MatGetLocalSize(Mat,int*,int*);
401 EXTERN int MatGetOwnershipRange(Mat,int*,int*);
402 
403 /*E
404     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
405      or MatGetSubMatrix() are to be reused to store the new matrix values.
406 
407     Level: beginner
408 
409    Any additions/changes here MUST also be made in include/finclude/petscmat.h
410 
411 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices()
412 E*/
413 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse;
414 EXTERN int MatGetSubMatrices(Mat,int,const IS[],const IS[],MatReuse,Mat *[]);
415 EXTERN int MatDestroyMatrices(int,Mat *[]);
416 EXTERN int MatGetSubMatrix(Mat,IS,IS,int,MatReuse,Mat *);
417 
418 EXTERN int MatIncreaseOverlap(Mat,int,IS[],int);
419 
420 EXTERN int MatAXPY(const PetscScalar *,Mat,Mat,MatStructure);
421 EXTERN int MatAYPX(const PetscScalar *,Mat,Mat);
422 EXTERN int MatCompress(Mat);
423 
424 EXTERN int MatScale(const PetscScalar *,Mat);
425 EXTERN int MatShift(const PetscScalar *,Mat);
426 
427 EXTERN int MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
428 EXTERN int MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
429 EXTERN int MatZeroRowsLocal(Mat,IS,const PetscScalar*);
430 EXTERN int MatSetValuesLocal(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
431 EXTERN int MatSetValuesBlockedLocal(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
432 
433 EXTERN int MatSetStashInitialSize(Mat,int,int);
434 
435 EXTERN int MatInterpolateAdd(Mat,Vec,Vec,Vec);
436 EXTERN int MatInterpolate(Mat,Vec,Vec);
437 EXTERN int MatRestrict(Mat,Vec,Vec);
438 
439 
440 /*MC
441    MatPreallocInitialize - Begins the block of code that will count the number of nonzeros per
442        row in a matrix providing the data that one can use to correctly preallocate the matrix.
443 
444    Synopsis:
445    int MatPreallocateInitialize(MPI_Comm comm, int nrows, int ncols, int *dnz, int *onz)
446 
447    Collective on MPI_Comm
448 
449    Input Parameters:
450 +  comm - the communicator that will share the eventually allocated matrix
451 .  nrows - the number of rows in the matrix
452 -  ncols - the number of columns in the matrix
453 
454    Output Parameters:
455 +  dnz - the array that will be passed to the matrix preallocation routines
456 -  ozn - the other array passed to the matrix preallocation routines
457 
458 
459    Level: intermediate
460 
461    Notes:
462    See the chapter in the users manual on performance for more details
463 
464    Do not malloc or free dnz and onz that is handled internally by these routines
465 
466    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
467 
468   Concepts: preallocation^Matrix
469 
470 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
471           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
472 M*/
473 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
474 { \
475   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
476   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
477   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
478   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
479   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
480 
481 /*MC
482    MatPreallocSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
483        row in a matrix providing the data that one can use to correctly preallocate the matrix.
484 
485    Synopsis:
486    int MatPreallocateSymmetricInitialize(MPI_Comm comm, int nrows, int ncols, int *dnz, int *onz)
487 
488    Collective on MPI_Comm
489 
490    Input Parameters:
491 +  comm - the communicator that will share the eventually allocated matrix
492 .  nrows - the number of rows in the matrix
493 -  ncols - the number of columns in the matrix
494 
495    Output Parameters:
496 +  dnz - the array that will be passed to the matrix preallocation routines
497 -  ozn - the other array passed to the matrix preallocation routines
498 
499 
500    Level: intermediate
501 
502    Notes:
503    See the chapter in the users manual on performance for more details
504 
505    Do not malloc or free dnz and onz that is handled internally by these routines
506 
507   Concepts: preallocation^Matrix
508 
509 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
510           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
511 M*/
512 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
513 { \
514   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__end; \
515   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
516   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
517   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
518   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
519 
520 /*MC
521    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
522        inserted using a local number of the rows and columns
523 
524    Synopsis:
525    int MatPreallocateSetLocal(ISLocalToGlobalMappping map,int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
526 
527    Not Collective
528 
529    Input Parameters:
530 +  map - the mapping between local numbering and global numbering
531 .  nrows - the number of rows indicated
532 .  rows - the indices of the rows (these will be mapped in the
533 .  ncols - the number of columns in the matrix
534 .  cols - the columns indicated
535 .  dnz - the array that will be passed to the matrix preallocation routines
536 -  ozn - the other array passed to the matrix preallocation routines
537 
538 
539    Level: intermediate
540 
541    Notes:
542    See the chapter in the users manual on performance for more details
543 
544    Do not malloc or free dnz and onz that is handled internally by these routines
545 
546   Concepts: preallocation^Matrix
547 
548 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
549           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
550 M*/
551 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
552 {\
553   int __l;\
554   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
555   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
556   for (__l=0;__l<nrows;__l++) {\
557     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
558   }\
559 }
560 
561 /*MC
562    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
563        inserted using a local number of the rows and columns
564 
565    Synopsis:
566    int MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
567 
568    Not Collective
569 
570    Input Parameters:
571 +  map - the mapping between local numbering and global numbering
572 .  nrows - the number of rows indicated
573 .  rows - the indices of the rows (these will be mapped in the
574 .  ncols - the number of columns in the matrix
575 .  cols - the columns indicated
576 .  dnz - the array that will be passed to the matrix preallocation routines
577 -  ozn - the other array passed to the matrix preallocation routines
578 
579 
580    Level: intermediate
581 
582    Notes:
583    See the chapter in the users manual on performance for more details
584 
585    Do not malloc or free dnz and onz that is handled internally by these routines
586 
587   Concepts: preallocation^Matrix
588 
589 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
590           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
591 M*/
592 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
593 {\
594   int __l;\
595   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
596   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
597   for (__l=0;__l<nrows;__l++) {\
598     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
599   }\
600 }
601 
602 /*MC
603    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
604        inserted using a local number of the rows and columns
605 
606    Synopsis:
607    int MatPreallocateSet(int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
608 
609    Not Collective
610 
611    Input Parameters:
612 +  nrows - the number of rows indicated
613 .  rows - the indices of the rows (these will be mapped in the
614 .  ncols - the number of columns in the matrix
615 .  cols - the columns indicated
616 .  dnz - the array that will be passed to the matrix preallocation routines
617 -  ozn - the other array passed to the matrix preallocation routines
618 
619 
620    Level: intermediate
621 
622    Notes:
623    See the chapter in the users manual on performance for more details
624 
625    Do not malloc or free dnz and onz that is handled internally by these routines
626 
627   Concepts: preallocation^Matrix
628 
629 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
630           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
631 M*/
632 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
633 { int __i; \
634   for (__i=0; __i<nc; __i++) {\
635     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
636   }\
637   dnz[row - __rstart] = nc - onz[row - __rstart];\
638 }
639 
640 /*MC
641    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
642        inserted using a local number of the rows and columns
643 
644    Synopsis:
645    int MatPreallocateSymmetricSet(int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
646 
647    Not Collective
648 
649    Input Parameters:
650 +  nrows - the number of rows indicated
651 .  rows - the indices of the rows (these will be mapped in the
652 .  ncols - the number of columns in the matrix
653 .  cols - the columns indicated
654 .  dnz - the array that will be passed to the matrix preallocation routines
655 -  ozn - the other array passed to the matrix preallocation routines
656 
657 
658    Level: intermediate
659 
660    Notes:
661    See the chapter in the users manual on performance for more details
662 
663    Do not malloc or free dnz and onz that is handled internally by these routines
664 
665   Concepts: preallocation^Matrix
666 
667 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
668           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
669 M*/
670 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
671 { int __i; \
672   for (__i=0; __i<nc; __i++) {\
673     if (cols[__i] >= __end) onz[row - __rstart]++; \
674     else if (cols[__i] >= row) dnz[row - __rstart]++;\
675   }\
676 }
677 
678 /*MC
679    MatPreallocFinalize - Ends the block of code that will count the number of nonzeros per
680        row in a matrix providing the data that one can use to correctly preallocate the matrix.
681 
682    Synopsis:
683    int MatPreallocateFinalize(int *dnz, int *onz)
684 
685    Collective on MPI_Comm
686 
687    Input Parameters:
688 +  dnz - the array that will be passed to the matrix preallocation routines
689 -  ozn - the other array passed to the matrix preallocation routines
690 
691 
692    Level: intermediate
693 
694    Notes:
695    See the chapter in the users manual on performance for more details
696 
697    Do not malloc or free dnz and onz that is handled internally by these routines
698 
699   Concepts: preallocation^Matrix
700 
701 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
702           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
703 M*/
704 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);}
705 
706 
707 
708 /* Routines unique to particular data structures */
709 EXTERN int MatShellGetContext(Mat,void **);
710 
711 EXTERN int MatBDiagGetData(Mat,int*,int*,int*[],int*[],PetscScalar***);
712 EXTERN int MatSeqAIJSetColumnIndices(Mat,int[]);
713 EXTERN int MatSeqBAIJSetColumnIndices(Mat,int[]);
714 EXTERN int MatCreateSeqAIJWithArrays(MPI_Comm,int,int,int[],int[],PetscScalar[],Mat*);
715 
716 EXTERN int MatSeqBAIJSetPreallocation(Mat,int,int,const int[]);
717 EXTERN int MatSeqSBAIJSetPreallocation(Mat,int,int,const int[]);
718 EXTERN int MatSeqAIJSetPreallocation(Mat,int,const int[]);
719 EXTERN int MatSeqDensePreallocation(Mat,PetscScalar[]);
720 EXTERN int MatSeqBDiagSetPreallocation(Mat,int,int,const int[],PetscScalar*[]);
721 EXTERN int MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
722 
723 EXTERN int MatMPIBAIJSetPreallocation(Mat,int,int,const int[],int,const int[]);
724 EXTERN int MatMPISBAIJSetPreallocation(Mat,int,int,const int[],int,const int[]);
725 EXTERN int MatMPIAIJSetPreallocation(Mat,int,const int[],int,const int[]);
726 EXTERN int MatMPIDensePreallocation(Mat,PetscScalar[]);
727 EXTERN int MatMPIBDiagSetPreallocation(Mat,int,int,const int[],PetscScalar*[]);
728 EXTERN int MatMPIAdjSetPreallocation(Mat,int[],int[],int[]);
729 EXTERN int MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
730 EXTERN int MatMPIRowbsSetPreallocation(Mat,int,const int[]);
731 EXTERN int MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,int*[]);
732 EXTERN int MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,int*[]);
733 EXTERN int MatAdicSetLocalFunction(Mat,void (*)(void));
734 
735 EXTERN int MatSeqDenseSetLDA(Mat,int);
736 
737 EXTERN int MatStoreValues(Mat);
738 EXTERN int MatRetrieveValues(Mat);
739 
740 EXTERN int MatDAADSetCtx(Mat,void*);
741 
742 /*
743   These routines are not usually accessed directly, rather solving is
744   done through the SLES, KSP and PC interfaces.
745 */
746 
747 /*E
748     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
749        with an optional dynamic library name, for example
750        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
751 
752    Level: beginner
753 
754 .seealso: MatGetOrdering()
755 E*/
756 typedef char* MatOrderingType;
757 #define MATORDERING_NATURAL   "natural"
758 #define MATORDERING_ND        "nd"
759 #define MATORDERING_1WD       "1wd"
760 #define MATORDERING_RCM       "rcm"
761 #define MATORDERING_QMD       "qmd"
762 #define MATORDERING_ROWLENGTH "rowlength"
763 #define MATORDERING_DSC_ND    "dsc_nd"
764 #define MATORDERING_DSC_MMD   "dsc_mmd"
765 #define MATORDERING_DSC_MDF   "dsc_mdf"
766 #define MATORDERING_CONSTRAINED "constrained"
767 #define MATORDERING_IDENTITY  "identity"
768 #define MATORDERING_REVERSE   "reverse"
769 
770 EXTERN int MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
771 EXTERN int MatOrderingRegister(char*,char*,char*,int(*)(Mat,MatOrderingType,IS*,IS*));
772 
773 /*MC
774    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the
775                                matrix package.
776 
777    Synopsis:
778    int MatOrderingRegisterDynamic(char *name_ordering,char *path,char *name_create,int (*routine_create)(MatOrdering))
779 
780    Not Collective
781 
782    Input Parameters:
783 +  sname - name of ordering (for example MATORDERING_ND)
784 .  path - location of library where creation routine is
785 .  name - name of function that creates the ordering type,a string
786 -  function - function pointer that creates the ordering
787 
788    Level: developer
789 
790    If dynamic libraries are used, then the fourth input argument (function)
791    is ignored.
792 
793    Sample usage:
794 .vb
795    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
796                "MyOrder",MyOrder);
797 .ve
798 
799    Then, your partitioner can be chosen with the procedural interface via
800 $     MatOrderingSetType(part,"my_order)
801    or at runtime via the option
802 $     -pc_ilu_mat_ordering_type my_order
803 $     -pc_lu_mat_ordering_type my_order
804 
805    ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
806 
807 .keywords: matrix, ordering, register
808 
809 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
810 M*/
811 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
812 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
813 #else
814 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
815 #endif
816 
817 EXTERN int        MatOrderingRegisterDestroy(void);
818 EXTERN int        MatOrderingRegisterAll(char*);
819 extern PetscTruth MatOrderingRegisterAllCalled;
820 extern PetscFList MatOrderingList;
821 
822 EXTERN int MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
823 
824 /*S
825    MatFactorInfo - Data based into the matrix factorization routines
826 
827    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE
828 
829    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
830 
831    Level: developer
832 
833 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor()
834 
835 S*/
836 typedef struct {
837   PetscReal     damping;        /* scaling of identity added to matrix to prevent zero pivots */
838   PetscReal     shift;          /* if true, shift until positive pivots */
839   PetscReal     shift_fraction; /* record shift fraction taken */
840   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
841   PetscReal     dt;             /* drop tolerance */
842   PetscReal     dtcol;          /* tolerance for pivoting */
843   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
844   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
845   PetscReal     levels;         /* ICC/ILU(levels) */
846   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
847                                    factorization may be faster if do not pivot */
848   PetscReal     zeropivot;      /* pivot is called zero if less than this */
849 } MatFactorInfo;
850 
851 EXTERN int MatCholeskyFactor(Mat,IS,MatFactorInfo*);
852 EXTERN int MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
853 EXTERN int MatCholeskyFactorNumeric(Mat,Mat*);
854 EXTERN int MatLUFactor(Mat,IS,IS,MatFactorInfo*);
855 EXTERN int MatILUFactor(Mat,IS,IS,MatFactorInfo*);
856 EXTERN int MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
857 EXTERN int MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
858 EXTERN int MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
859 EXTERN int MatICCFactor(Mat,IS,MatFactorInfo*);
860 EXTERN int MatLUFactorNumeric(Mat,Mat*);
861 EXTERN int MatILUDTFactor(Mat,MatFactorInfo*,IS,IS,Mat *);
862 EXTERN int MatGetInertia(Mat,int*,int*,int*);
863 EXTERN int MatSolve(Mat,Vec,Vec);
864 EXTERN int MatForwardSolve(Mat,Vec,Vec);
865 EXTERN int MatBackwardSolve(Mat,Vec,Vec);
866 EXTERN int MatSolveAdd(Mat,Vec,Vec,Vec);
867 EXTERN int MatSolveTranspose(Mat,Vec,Vec);
868 EXTERN int MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
869 EXTERN int MatSolves(Mat,Vecs,Vecs);
870 
871 EXTERN int MatSetUnfactored(Mat);
872 
873 /*E
874     MatSORType - What type of (S)SOR to perform
875 
876     Level: beginner
877 
878    May be bitwise ORd together
879 
880    Any additions/changes here MUST also be made in include/finclude/petscmat.h
881 
882    MatSORType may be bitwise ORd together, so do not change the numbers
883 
884 .seealso: MatRelax()
885 E*/
886 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
887               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
888               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
889               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
890 EXTERN int MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,int,int,Vec);
891 
892 /*
893     These routines are for efficiently computing Jacobians via finite differences.
894 */
895 
896 /*E
897     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
898        with an optional dynamic library name, for example
899        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
900 
901    Level: beginner
902 
903 .seealso: MatGetColoring()
904 E*/
905 typedef char* MatColoringType;
906 #define MATCOLORING_NATURAL "natural"
907 #define MATCOLORING_SL      "sl"
908 #define MATCOLORING_LF      "lf"
909 #define MATCOLORING_ID      "id"
910 
911 EXTERN int MatGetColoring(Mat,MatColoringType,ISColoring*);
912 EXTERN int MatColoringRegister(char*,char*,char*,int(*)(Mat,MatColoringType,ISColoring *));
913 
914 /*MC
915    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
916                                matrix package.
917 
918    Synopsis:
919    int MatColoringRegisterDynamic(char *name_coloring,char *path,char *name_create,int (*routine_create)(MatColoring))
920 
921    Not Collective
922 
923    Input Parameters:
924 +  sname - name of Coloring (for example MATCOLORING_SL)
925 .  path - location of library where creation routine is
926 .  name - name of function that creates the Coloring type, a string
927 -  function - function pointer that creates the coloring
928 
929    Level: developer
930 
931    If dynamic libraries are used, then the fourth input argument (function)
932    is ignored.
933 
934    Sample usage:
935 .vb
936    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
937                "MyColor",MyColor);
938 .ve
939 
940    Then, your partitioner can be chosen with the procedural interface via
941 $     MatColoringSetType(part,"my_color")
942    or at runtime via the option
943 $     -mat_coloring_type my_color
944 
945    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
946 
947 .keywords: matrix, Coloring, register
948 
949 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
950 M*/
951 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
952 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
953 #else
954 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
955 #endif
956 
957 EXTERN int        MatColoringRegisterAll(char *);
958 extern PetscTruth MatColoringRegisterAllCalled;
959 EXTERN int        MatColoringRegisterDestroy(void);
960 EXTERN int        MatColoringPatch(Mat,int,int,const ISColoringValue[],ISColoring*);
961 
962 /*S
963      MatFDColoring - Object for computing a sparse Jacobian via finite differences
964         and coloring
965 
966    Level: beginner
967 
968   Concepts: coloring, sparse Jacobian, finite differences
969 
970 .seealso:  MatFDColoringCreate()
971 S*/
972 typedef struct _p_MatFDColoring *MatFDColoring;
973 
974 EXTERN int MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
975 EXTERN int MatFDColoringDestroy(MatFDColoring);
976 EXTERN int MatFDColoringView(MatFDColoring,PetscViewer);
977 EXTERN int MatFDColoringSetFunction(MatFDColoring,int (*)(void),void*);
978 EXTERN int MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
979 EXTERN int MatFDColoringSetFrequency(MatFDColoring,int);
980 EXTERN int MatFDColoringGetFrequency(MatFDColoring,int*);
981 EXTERN int MatFDColoringSetFromOptions(MatFDColoring);
982 EXTERN int MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
983 EXTERN int MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
984 EXTERN int MatFDColoringSetRecompute(MatFDColoring);
985 EXTERN int MatFDColoringSetF(MatFDColoring,Vec);
986 EXTERN int MatFDColoringGetPerturbedColumns(MatFDColoring,int*,int*[]);
987 /*
988     These routines are for partitioning matrices: currently used only
989   for adjacency matrix, MatCreateMPIAdj().
990 */
991 
992 /*S
993      MatPartitioning - Object for managing the partitioning of a matrix or graph
994 
995    Level: beginner
996 
997   Concepts: partitioning
998 
999 .seealso:  MatPartitioningCreate(), MatPartitioningType
1000 S*/
1001 typedef struct _p_MatPartitioning *MatPartitioning;
1002 
1003 /*E
1004     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1005        with an optional dynamic library name, for example
1006        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1007 
1008    Level: beginner
1009 
1010 .seealso: MatPartitioningCreate(), MatPartitioning
1011 E*/
1012 typedef char* MatPartitioningType;
1013 #define MAT_PARTITIONING_CURRENT  "current"
1014 #define MAT_PARTITIONING_PARMETIS "parmetis"
1015 
1016 EXTERN int MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1017 EXTERN int MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1018 EXTERN int MatPartitioningSetNParts(MatPartitioning,int);
1019 EXTERN int MatPartitioningSetAdjacency(MatPartitioning,Mat);
1020 EXTERN int MatPartitioningSetVertexWeights(MatPartitioning,const int[]);
1021 EXTERN int MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1022 EXTERN int MatPartitioningApply(MatPartitioning,IS*);
1023 EXTERN int MatPartitioningDestroy(MatPartitioning);
1024 
1025 EXTERN int MatPartitioningRegister(char*,char*,char*,int(*)(MatPartitioning));
1026 
1027 /*MC
1028    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1029    matrix package.
1030 
1031    Synopsis:
1032    int MatPartitioningRegisterDynamic(char *name_partitioning,char *path,char *name_create,int (*routine_create)(MatPartitioning))
1033 
1034    Not Collective
1035 
1036    Input Parameters:
1037 +  sname - name of partitioning (for example MAT_PARTITIONING_CURRENT) or parmetis
1038 .  path - location of library where creation routine is
1039 .  name - name of function that creates the partitioning type, a string
1040 -  function - function pointer that creates the partitioning type
1041 
1042    Level: developer
1043 
1044    If dynamic libraries are used, then the fourth input argument (function)
1045    is ignored.
1046 
1047    Sample usage:
1048 .vb
1049    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1050                "MyPartCreate",MyPartCreate);
1051 .ve
1052 
1053    Then, your partitioner can be chosen with the procedural interface via
1054 $     MatPartitioningSetType(part,"my_part")
1055    or at runtime via the option
1056 $     -mat_partitioning_type my_part
1057 
1058    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
1059 
1060 .keywords: matrix, partitioning, register
1061 
1062 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1063 M*/
1064 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1065 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1066 #else
1067 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1068 #endif
1069 
1070 EXTERN int        MatPartitioningRegisterAll(char *);
1071 extern PetscTruth MatPartitioningRegisterAllCalled;
1072 EXTERN int        MatPartitioningRegisterDestroy(void);
1073 
1074 EXTERN int MatPartitioningView(MatPartitioning,PetscViewer);
1075 EXTERN int MatPartitioningSetFromOptions(MatPartitioning);
1076 EXTERN int MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1077 
1078 EXTERN int MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1079 
1080 /*
1081     If you add entries here you must also add them to finclude/petscmat.h
1082 */
1083 typedef enum { MATOP_SET_VALUES=0,
1084                MATOP_GET_ROW=1,
1085                MATOP_RESTORE_ROW=2,
1086                MATOP_MULT=3,
1087                MATOP_MULT_ADD=4,
1088                MATOP_MULT_TRANSPOSE=5,
1089                MATOP_MULT_TRANSPOSE_ADD=6,
1090                MATOP_SOLVE=7,
1091                MATOP_SOLVE_ADD=8,
1092                MATOP_SOLVE_TRANSPOSE=9,
1093                MATOP_SOLVE_TRANSPOSE_ADD=10,
1094                MATOP_LUFACTOR=11,
1095                MATOP_CHOLESKYFACTOR=12,
1096                MATOP_RELAX=13,
1097                MATOP_TRANSPOSE=14,
1098                MATOP_GETINFO=15,
1099                MATOP_EQUAL=16,
1100                MATOP_GET_DIAGONAL=17,
1101                MATOP_DIAGONAL_SCALE=18,
1102                MATOP_NORM=19,
1103                MATOP_ASSEMBLY_BEGIN=20,
1104                MATOP_ASSEMBLY_END=21,
1105                MATOP_COMPRESS=22,
1106                MATOP_SET_OPTION=23,
1107                MATOP_ZERO_ENTRIES=24,
1108                MATOP_ZERO_ROWS=25,
1109                MATOP_LUFACTOR_SYMBOLIC=26,
1110                MATOP_LUFACTOR_NUMERIC=27,
1111                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
1112                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
1113                MATOP_SETUP_PREALLOCATION=30,
1114                MATOP_ILUFACTOR_SYMBOLIC=31,
1115                MATOP_ICCFACTOR_SYMBOLIC=32,
1116                MATOP_GET_ARRAY=33,
1117                MATOP_RESTORE_ARRAY=34,
1118                MATOP_DUPLCIATE=35,
1119                MATOP_FORWARD_SOLVE=36,
1120                MATOP_BACKWARD_SOLVE=37,
1121                MATOP_ILUFACTOR=38,
1122                MATOP_ICCFACTOR=39,
1123                MATOP_AXPY=40,
1124                MATOP_GET_SUBMATRICES=41,
1125                MATOP_INCREASE_OVERLAP=42,
1126                MATOP_GET_VALUES=43,
1127                MATOP_COPY=44,
1128                MATOP_PRINT_HELP=45,
1129                MATOP_SCALE=46,
1130                MATOP_SHIFT=47,
1131                MATOP_DIAGONAL_SHIFT=48,
1132                MATOP_ILUDT_FACTOR=49,
1133                MATOP_GET_BLOCK_SIZE=50,
1134                MATOP_GET_ROW_IJ=51,
1135                MATOP_RESTORE_ROW_IJ=52,
1136                MATOP_GET_COLUMN_IJ=53,
1137                MATOP_RESTORE_COLUMN_IJ=54,
1138                MATOP_FDCOLORING_CREATE=55,
1139                MATOP_COLORING_PATCH=56,
1140                MATOP_SET_UNFACTORED=57,
1141                MATOP_PERMUTE=58,
1142                MATOP_SET_VALUES_BLOCKED=59,
1143                MATOP_GET_SUBMATRIX=60,
1144                MATOP_DESTROY=61,
1145                MATOP_VIEW=62,
1146                MATOP_GET_MAPS=63,
1147                MATOP_USE_SCALED_FORM=64,
1148                MATOP_SCALE_SYSTEM=65,
1149                MATOP_UNSCALE_SYSTEM=66,
1150                MATOP_SET_LOCAL_TO_GLOBAL_MAPPING=67,
1151                MATOP_SET_VALUES_LOCAL=68,
1152                MATOP_ZERO_ROWS_LOCAL=69,
1153                MATOP_GET_ROW_MAX=70,
1154                MATOP_CONVERT=71,
1155                MATOP_SET_COLORING=72,
1156                MATOP_SET_VALUES_ADIC=73,
1157                MATOP_SET_VALUES_ADIFOR=74,
1158                MATOP_FD_COLORING_APPLY=75,
1159                MATOP_SET_FROM_OPTIONS=76,
1160                MATOP_MULT_CONSTRAINED=77,
1161                MATOP_MULT_TRANSPOSE_CONSTRAINED=78,
1162                MATOP_ILU_FACTOR_SYMBOLIC_CONSTRAINED=79,
1163                MATOP_PERMUTE_SPARSIFY=80,
1164                MATOP_MULT_MULTIPLE=81,
1165                MATOP_SOLVE_MULTIPLE=82
1166              } MatOperation;
1167 EXTERN int MatHasOperation(Mat,MatOperation,PetscTruth*);
1168 EXTERN int MatShellSetOperation(Mat,MatOperation,void(*)(void));
1169 EXTERN int MatShellGetOperation(Mat,MatOperation,void(**)(void));
1170 EXTERN int MatShellSetContext(Mat,void*);
1171 
1172 /*
1173    Codes for matrices stored on disk. By default they are
1174  stored in a universal format. By changing the format with
1175  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
1176  be stored in a way natural for the matrix, for example dense matrices
1177  would be stored as dense. Matrices stored this way may only be
1178  read into matrices of the same time.
1179 */
1180 #define MATRIX_BINARY_FORMAT_DENSE -1
1181 
1182 EXTERN int MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1183 EXTERN int MatSeqAIJGetInodeSizes(Mat,int *,int *[],int *);
1184 EXTERN int MatMPIRowbsGetColor(Mat,ISColoring *);
1185 
1186 /*S
1187      MatNullSpace - Object that removes a null space from a vector, i.e.
1188          orthogonalizes the vector to a subsapce
1189 
1190    Level: advanced
1191 
1192   Concepts: matrix; linear operator, null space
1193 
1194   Users manual sections:
1195 .   sec_singular
1196 
1197 .seealso:  MatNullSpaceCreate()
1198 S*/
1199 typedef struct _p_MatNullSpace* MatNullSpace;
1200 
1201 EXTERN int MatNullSpaceCreate(MPI_Comm,int,int,const Vec[],MatNullSpace*);
1202 EXTERN int MatNullSpaceDestroy(MatNullSpace);
1203 EXTERN int MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1204 EXTERN int MatNullSpaceAttach(Mat,MatNullSpace);
1205 EXTERN int MatNullSpaceTest(MatNullSpace,Mat);
1206 
1207 EXTERN int MatReorderingSeqSBAIJ(Mat A,IS isp);
1208 EXTERN int MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1209 EXTERN int MatSeqSBAIJSetColumnIndices(Mat,int *);
1210 
1211 EXTERN int MatMatMult(Mat A,Mat B, Mat *C);
1212 EXTERN int MatMatMultSymbolic(Mat A,Mat B,Mat *C);
1213 EXTERN int MatMatMultNumeric(Mat A,Mat B,Mat C);
1214 
1215 EXTERN int MatCreateMAIJ(Mat,int,Mat*);
1216 EXTERN int MatMAIJRedimension(Mat,int,Mat*);
1217 EXTERN int MatMAIJGetAIJ(Mat,Mat*);
1218 
1219 EXTERN int MatComputeExplicitOperator(Mat,Mat*);
1220 
1221 EXTERN int MatESISetType(Mat,char*);
1222 EXTERN int MatESISetFromOptions(Mat);
1223 
1224 EXTERN int MatDiagonalScaleLocal(Mat,Vec);
1225 
1226 EXTERN int PetscViewerMathematicaPutMatrix(PetscViewer, int, int, PetscReal *);
1227 EXTERN int PetscViewerMathematicaPutCSRMatrix(PetscViewer, int, int, int *, int *, PetscReal *);
1228 
1229 EXTERN int MatUseSpooles_SeqAIJ(Mat);
1230 EXTERN int MatUseUMFPACK_SeqAIJ(Mat);
1231 EXTERN int MatUseSuperLU_SeqAIJ(Mat);
1232 EXTERN int MatUseEssl_SeqAIJ(Mat);
1233 EXTERN int MatUseLUSOL_SeqAIJ(Mat);
1234 EXTERN int MatUseMatlab_SeqAIJ(Mat);
1235 EXTERN int MatUseDXML_SeqAIJ(Mat);
1236 EXTERN int MatUsePETSc_SeqAIJ(Mat);
1237 EXTERN int MatUseSuperLU_DIST_MPIAIJ(Mat);
1238 EXTERN int MatUseSpooles_MPIAIJ(Mat);
1239 EXTERN int MatUseSpooles_SeqSBAIJ(Mat);
1240 EXTERN int MatUseSpooles_MPISBAIJ(Mat);
1241 EXTERN int MatUseMUMPS_MPIAIJ(Mat);
1242 
1243 #endif
1244 
1245 
1246 
1247