xref: /petsc/include/petscmat.h (revision 14b396bb03148267b05cf22f494063f1f86cb1b6)
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 typedef char* MatType;
57 
58 #define MAT_SER_SEQAIJ_BINARY "seqaij_binary"
59 #define MAT_SER_MPIAIJ_BINARY "mpiaij_binary"
60 typedef char *MatSerializeType;
61 
62 /* Logging support */
63 #define    MAT_FILE_COOKIE 1211216    /* used to indicate matrices in binary files */
64 extern int MAT_COOKIE;
65 extern int MATSNESMFCTX_COOKIE;
66 extern int MAT_FDCOLORING_COOKIE;
67 extern int MAT_PARTITIONING_COOKIE;
68 extern int MAT_NULLSPACE_COOKIE;
69 extern int MAT_Mult, MAT_MultMatrixFree, MAT_Mults, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
70 extern int MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_Solves, MAT_SolveAdd, MAT_SolveTranspose;
71 extern int MAT_SolveTransposeAdd, MAT_Relax, MAT_ForwardSolve, MAT_BackwardSolve, MAT_LUFactor, MAT_LUFactorSymbolic;
72 extern int MAT_LUFactorNumeric, MAT_CholeskyFactor, MAT_CholeskyFactorSymbolic, MAT_CholeskyFactorNumeric, MAT_ILUFactor;
73 extern int MAT_ILUFactorSymbolic, MAT_ICCFactorSymbolic, MAT_Copy, MAT_Convert, MAT_Scale, MAT_AssemblyBegin;
74 extern int MAT_AssemblyEnd, MAT_SetValues, MAT_GetValues, MAT_GetRow, MAT_GetSubMatrices, MAT_GetColoring, MAT_GetOrdering;
75 extern int MAT_IncreaseOverlap, MAT_Partitioning, MAT_ZeroEntries, MAT_Load, MAT_View, MAT_AXPY, MAT_FDColoringCreate;
76 extern int MAT_FDColoringApply, MAT_Transpose, MAT_FDColoringFunction;
77 
78 EXTERN int MatInitializePackage(char *);
79 
80 EXTERN int MatCreate(MPI_Comm,int,int,int,int,Mat*);
81 EXTERN int MatSetType(Mat,MatType);
82 EXTERN int MatSetFromOptions(Mat);
83 EXTERN int MatSetUpPreallocation(Mat);
84 EXTERN int MatRegisterAll(char*);
85 EXTERN int MatRegister(char*,char*,char*,int(*)(Mat));
86 EXTERN int MatSerializeRegister(const char [], const char [], const char [], int (*)(MPI_Comm, Mat *, PetscViewer, PetscTruth));
87 
88 /*MC
89    MatRegisterDynamic - Adds a new matrix type
90 
91    Synopsis:
92    int MatRegisterDynamic(char *name,char *path,char *name_create,int (*routine_create)(Mat))
93 
94    Not Collective
95 
96    Input Parameters:
97 +  name - name of a new user-defined matrix type
98 .  path - path (either absolute or relative) the library containing this solver
99 .  name_create - name of routine to create method context
100 -  routine_create - routine to create method context
101 
102    Notes:
103    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
104 
105    If dynamic libraries are used, then the fourth input argument (routine_create)
106    is ignored.
107 
108    Sample usage:
109 .vb
110    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
111                "MyMatCreate",MyMatCreate);
112 .ve
113 
114    Then, your solver can be chosen with the procedural interface via
115 $     MatSetType(Mat,"my_mat")
116    or at runtime via the option
117 $     -mat_type my_mat
118 
119    Level: advanced
120 
121    Notes: ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
122          If your function is not being put into a shared library then use VecRegister() instead
123 
124 .keywords: Mat, register
125 
126 .seealso: MatRegisterAll(), MatRegisterDestroy()
127 
128 M*/
129 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
130 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
131 #else
132 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
133 #endif
134 
135 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
136 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,0)
137 #else
138 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,d)
139 #endif
140 
141 extern PetscTruth MatRegisterAllCalled;
142 extern PetscFList MatList;
143 
144 EXTERN PetscFList MatSerializeList;
145 EXTERN int MatSerializeRegisterAll(const char []);
146 EXTERN int MatSerializeRegisterDestroy(void);
147 EXTERN int MatSerializeRegisterAllCalled;
148 EXTERN int MatSerialize(MPI_Comm, Mat *, PetscViewer, PetscTruth);
149 EXTERN int MatSetSerializeType(Mat, MatSerializeType);
150 
151 EXTERN int MatCreateSeqDense(MPI_Comm,int,int,PetscScalar[],Mat*);
152 EXTERN int MatCreateMPIDense(MPI_Comm,int,int,int,int,PetscScalar[],Mat*);
153 EXTERN int MatCreateSeqAIJ(MPI_Comm,int,int,int,const int[],Mat*);
154 EXTERN int MatCreateMPIAIJ(MPI_Comm,int,int,int,int,int,const int[],int,const int[],Mat*);
155 EXTERN int MatCreateMPIRowbs(MPI_Comm,int,int,int,const int[],Mat*);
156 EXTERN int MatCreateSeqBDiag(MPI_Comm,int,int,int,int,const int[],PetscScalar*[],Mat*);
157 EXTERN int MatCreateMPIBDiag(MPI_Comm,int,int,int,int,int,const int[],PetscScalar*[],Mat*);
158 EXTERN int MatCreateSeqBAIJ(MPI_Comm,int,int,int,int,const int[],Mat*);
159 EXTERN int MatCreateMPIBAIJ(MPI_Comm,int,int,int,int,int,int,const int[],int,const int[],Mat*);
160 EXTERN int MatCreateMPIAdj(MPI_Comm,int,int,int[],int[],int[],Mat*);
161 EXTERN int MatCreateSeqSBAIJ(MPI_Comm,int,int,int,int,const int[],Mat*);
162 EXTERN int MatCreateMPISBAIJ(MPI_Comm,int,int,int,int,int,int,const int[],int,const int[],Mat*);
163 EXTERN int MatCreateShell(MPI_Comm,int,int,int,int,void *,Mat*);
164 EXTERN int MatCreateAdic(MPI_Comm,int,int,int,int,int,void (*)(void),Mat*);
165 EXTERN int MatCreateNormal(Mat,Mat*);
166 EXTERN int MatDestroy(Mat);
167 
168 EXTERN int MatPrintHelp(Mat);
169 EXTERN int MatGetPetscMaps(Mat,PetscMap*,PetscMap*);
170 
171 /* ------------------------------------------------------------*/
172 EXTERN int MatSetValues(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
173 EXTERN int MatSetValuesBlocked(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
174 
175 /*S
176      MatStencil - Data structure (C struct) for storing information about a single row or
177         column of a matrix as index on an associated grid.
178 
179    Level: beginner
180 
181   Concepts: matrix; linear operator
182 
183 .seealso:  MatSetValuesStencil(), MatSetStencil()
184 S*/
185 typedef struct {
186   int k,j,i,c;
187 } MatStencil;
188 
189 EXTERN int MatSetValuesStencil(Mat,int,const MatStencil[],int,const MatStencil[],const PetscScalar[],InsertMode);
190 EXTERN int MatSetValuesBlockedStencil(Mat,int,const MatStencil[],int,const MatStencil[],const PetscScalar[],InsertMode);
191 EXTERN int MatSetStencil(Mat,int,const int[],const int[],int);
192 
193 EXTERN int MatSetColoring(Mat,ISColoring);
194 EXTERN int MatSetValuesAdic(Mat,void*);
195 EXTERN int MatSetValuesAdifor(Mat,int,void*);
196 
197 /*E
198     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
199      to continue to add values to it
200 
201     Level: beginner
202 
203 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
204 E*/
205 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
206 EXTERN int MatAssemblyBegin(Mat,MatAssemblyType);
207 EXTERN int MatAssemblyEnd(Mat,MatAssemblyType);
208 EXTERN int MatAssembled(Mat,PetscTruth*);
209 
210 /*MC
211    MatSetValue - Set a single entry into a matrix.
212 
213    Synopsis:
214    int MatSetValue(Mat m,int row,int col,PetscScalar value,InsertMode mode);
215 
216    Not collective
217 
218    Input Parameters:
219 +  m - the matrix
220 .  row - the row location of the entry
221 .  col - the column location of the entry
222 .  value - the value to insert
223 -  mode - either INSERT_VALUES or ADD_VALUES
224 
225    Notes:
226    For efficiency one should use MatSetValues() and set several or many
227    values simultaneously if possible.
228 
229    Note that MatSetValue() does NOT return an error code (since this
230    is checked internally).
231 
232    Level: beginner
233 
234 .seealso: MatSetValues(), MatSetValueLocal()
235 M*/
236 #define MatSetValue(v,i,j,va,mode) \
237 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
238   _ierr = MatSetValues(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
239 }
240 
241 #define MatGetValue(v,i,j,va) \
242 0; {int _ierr,_row = i,_col = j; \
243   _ierr = MatGetValues(v,1,&_row,1,&_col,&va);CHKERRQ(_ierr); \
244 }
245 
246 #define MatSetValueLocal(v,i,j,va,mode) \
247 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
248   _ierr = MatSetValuesLocal(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
249 }
250 
251 /*E
252     MatOption - Options that may be set for a matrix and its behavior or storage
253 
254     Level: beginner
255 
256    Any additions/changes here MUST also be made in include/finclude/petscmat.h
257 
258 .seealso: MatSetOption()
259 E*/
260 typedef enum {MAT_ROW_ORIENTED=1,MAT_COLUMN_ORIENTED=2,MAT_ROWS_SORTED=4,
261               MAT_COLUMNS_SORTED=8,MAT_NO_NEW_NONZERO_LOCATIONS=16,
262               MAT_YES_NEW_NONZERO_LOCATIONS=32,MAT_SYMMETRIC=64,
263               MAT_STRUCTURALLY_SYMMETRIC=65,MAT_NO_NEW_DIAGONALS=66,
264               MAT_YES_NEW_DIAGONALS=67,MAT_INODE_LIMIT_1=68,MAT_INODE_LIMIT_2=69,
265               MAT_INODE_LIMIT_3=70,MAT_INODE_LIMIT_4=71,MAT_INODE_LIMIT_5=72,
266               MAT_IGNORE_OFF_PROC_ENTRIES=73,MAT_ROWS_UNSORTED=74,
267               MAT_COLUMNS_UNSORTED=75,MAT_NEW_NONZERO_LOCATION_ERR=76,
268               MAT_NEW_NONZERO_ALLOCATION_ERR=77,MAT_USE_HASH_TABLE=78,
269               MAT_KEEP_ZEROED_ROWS=79,MAT_IGNORE_ZERO_ENTRIES=80,MAT_USE_INODES=81,
270               MAT_DO_NOT_USE_INODES=82} MatOption;
271 EXTERN int MatSetOption(Mat,MatOption);
272 EXTERN int MatGetType(Mat,MatType*);
273 
274 EXTERN int MatGetValues(Mat,int,const int[],int,const int[],PetscScalar[]);
275 EXTERN int MatGetRow(Mat,int,int *,int *[],PetscScalar*[]);
276 EXTERN int MatRestoreRow(Mat,int,int *,int *[],PetscScalar*[]);
277 EXTERN int MatGetColumn(Mat,int,int *,int *[],PetscScalar*[]);
278 EXTERN int MatRestoreColumn(Mat,int,int *,int *[],PetscScalar*[]);
279 EXTERN int MatGetColumnVector(Mat,Vec,int);
280 EXTERN int MatGetArray(Mat,PetscScalar *[]);
281 EXTERN int MatRestoreArray(Mat,PetscScalar *[]);
282 EXTERN int MatGetBlockSize(Mat,int *);
283 
284 EXTERN int MatMult(Mat,Vec,Vec);
285 EXTERN int MatMultAdd(Mat,Vec,Vec,Vec);
286 EXTERN int MatMultTranspose(Mat,Vec,Vec);
287 EXTERN int MatIsSymmetric(Mat,Mat,PetscTruth*);
288 EXTERN int MatMultTransposeAdd(Mat,Vec,Vec,Vec);
289 EXTERN int MatMultConstrained(Mat,Vec,Vec);
290 EXTERN int MatMultTransposeConstrained(Mat,Vec,Vec);
291 
292 /*E
293     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
294   its numerical values copied over or just its nonzero structure.
295 
296     Level: beginner
297 
298    Any additions/changes here MUST also be made in include/finclude/petscmat.h
299 
300 .seealso: MatDuplicate()
301 E*/
302 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption;
303 
304 EXTERN int MatConvertRegister(char*,char*,char*,int (*)(Mat,MatType,Mat*));
305 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
306 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0)
307 #else
308 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d)
309 #endif
310 EXTERN int        MatConvertRegisterAll(char*);
311 EXTERN int        MatConvertRegisterDestroy(void);
312 extern PetscTruth MatConvertRegisterAllCalled;
313 extern PetscFList MatConvertList;
314 EXTERN int        MatConvert(Mat,MatType,Mat*);
315 EXTERN int        MatDuplicate(Mat,MatDuplicateOption,Mat*);
316 
317 /*E
318     MatStructure - Indicates if the matrix has the same nonzero structure
319 
320     Level: beginner
321 
322    Any additions/changes here MUST also be made in include/finclude/petscmat.h
323 
324 .seealso: MatCopy(), SLESSetOperators(), PCSetOperators()
325 E*/
326 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
327 
328 EXTERN int MatCopy(Mat,Mat,MatStructure);
329 EXTERN int MatView(Mat,PetscViewer);
330 
331 EXTERN int MatLoadRegister(char*,char*,char*,int (*)(PetscViewer,MatType,Mat*));
332 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
333 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,0)
334 #else
335 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,d)
336 #endif
337 EXTERN int        MatLoadRegisterAll(char*);
338 EXTERN int        MatLoadRegisterDestroy(void);
339 extern PetscTruth MatLoadRegisterAllCalled;
340 extern PetscFList MatLoadList;
341 EXTERN int        MatLoad(PetscViewer,MatType,Mat*);
342 EXTERN int        MatMerge(MPI_Comm,Mat,Mat*);
343 
344 EXTERN int MatGetRowIJ(Mat,int,PetscTruth,int*,int *[],int *[],PetscTruth *);
345 EXTERN int MatRestoreRowIJ(Mat,int,PetscTruth,int *,int *[],int *[],PetscTruth *);
346 EXTERN int MatGetColumnIJ(Mat,int,PetscTruth,int*,int *[],int *[],PetscTruth *);
347 EXTERN int MatRestoreColumnIJ(Mat,int,PetscTruth,int *,int *[],int *[],PetscTruth *);
348 
349 /*S
350      MatInfo - Context of matrix information, used with MatGetInfo()
351 
352    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
353 
354    Level: intermediate
355 
356   Concepts: matrix^nonzero information
357 
358 .seealso:  MatGetInfo(), MatInfoType
359 S*/
360 typedef struct {
361   PetscLogDouble rows_global,columns_global;         /* number of global rows and columns */
362   PetscLogDouble rows_local,columns_local;           /* number of local rows and columns */
363   PetscLogDouble block_size;                         /* block size */
364   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
365   PetscLogDouble memory;                             /* memory allocated */
366   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
367   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
368   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
369   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
370 } MatInfo;
371 
372 /*E
373     MatInfoType - Indicates if you want information about the local part of the matrix,
374      the entire parallel matrix or the maximum over all the local parts.
375 
376     Level: beginner
377 
378    Any additions/changes here MUST also be made in include/finclude/petscmat.h
379 
380 .seealso: MatGetInfo(), MatInfo
381 E*/
382 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
383 EXTERN int MatGetInfo(Mat,MatInfoType,MatInfo*);
384 EXTERN int MatValid(Mat,PetscTruth*);
385 EXTERN int MatGetDiagonal(Mat,Vec);
386 EXTERN int MatGetRowMax(Mat,Vec);
387 EXTERN int MatTranspose(Mat,Mat*);
388 EXTERN int MatPermute(Mat,IS,IS,Mat *);
389 EXTERN int MatPermuteSparsify(Mat,int,PetscReal,PetscReal,IS,IS,Mat *);
390 EXTERN int MatDiagonalScale(Mat,Vec,Vec);
391 EXTERN int MatDiagonalSet(Mat,Vec,InsertMode);
392 EXTERN int MatEqual(Mat,Mat,PetscTruth*);
393 
394 EXTERN int MatNorm(Mat,NormType,PetscReal *);
395 EXTERN int MatZeroEntries(Mat);
396 EXTERN int MatZeroRows(Mat,IS,const PetscScalar*);
397 EXTERN int MatZeroColumns(Mat,IS,const PetscScalar*);
398 
399 EXTERN int MatUseScaledForm(Mat,PetscTruth);
400 EXTERN int MatScaleSystem(Mat,Vec,Vec);
401 EXTERN int MatUnScaleSystem(Mat,Vec,Vec);
402 
403 EXTERN int MatGetSize(Mat,int*,int*);
404 EXTERN int MatGetLocalSize(Mat,int*,int*);
405 EXTERN int MatGetOwnershipRange(Mat,int*,int*);
406 
407 /*E
408     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
409      or MatGetSubMatrix() are to be reused to store the new matrix values.
410 
411     Level: beginner
412 
413    Any additions/changes here MUST also be made in include/finclude/petscmat.h
414 
415 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices()
416 E*/
417 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse;
418 EXTERN int MatGetSubMatrices(Mat,int,const IS[],const IS[],MatReuse,Mat *[]);
419 EXTERN int MatDestroyMatrices(int,Mat *[]);
420 EXTERN int MatGetSubMatrix(Mat,IS,IS,int,MatReuse,Mat *);
421 
422 EXTERN int MatIncreaseOverlap(Mat,int,IS[],int);
423 
424 EXTERN int MatAXPY(const PetscScalar *,Mat,Mat,MatStructure);
425 EXTERN int MatAYPX(const PetscScalar *,Mat,Mat);
426 EXTERN int MatCompress(Mat);
427 
428 EXTERN int MatScale(const PetscScalar *,Mat);
429 EXTERN int MatShift(const PetscScalar *,Mat);
430 
431 EXTERN int MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
432 EXTERN int MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
433 EXTERN int MatZeroRowsLocal(Mat,IS,const PetscScalar*);
434 EXTERN int MatSetValuesLocal(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
435 EXTERN int MatSetValuesBlockedLocal(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
436 
437 EXTERN int MatSetStashInitialSize(Mat,int,int);
438 
439 EXTERN int MatInterpolateAdd(Mat,Vec,Vec,Vec);
440 EXTERN int MatInterpolate(Mat,Vec,Vec);
441 EXTERN int MatRestrict(Mat,Vec,Vec);
442 
443 
444 /*MC
445    MatPreallocInitialize - Begins the block of code that will count the number of nonzeros per
446        row in a matrix providing the data that one can use to correctly preallocate the matrix.
447 
448    Synopsis:
449    int MatPreallocateInitialize(MPI_Comm comm, int nrows, int ncols, int *dnz, int *onz)
450 
451    Collective on MPI_Comm
452 
453    Input Parameters:
454 +  comm - the communicator that will share the eventually allocated matrix
455 .  nrows - the number of rows in the matrix
456 -  ncols - the number of columns in the matrix
457 
458    Output Parameters:
459 +  dnz - the array that will be passed to the matrix preallocation routines
460 -  ozn - the other array passed to the matrix preallocation routines
461 
462 
463    Level: intermediate
464 
465    Notes:
466    See the chapter in the users manual on performance for more details
467 
468    Do not malloc or free dnz and onz that is handled internally by these routines
469 
470    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
471 
472   Concepts: preallocation^Matrix
473 
474 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
475           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
476 M*/
477 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
478 { \
479   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
480   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
481   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
482   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
483   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
484 
485 /*MC
486    MatPreallocSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
487        row in a matrix providing the data that one can use to correctly preallocate the matrix.
488 
489    Synopsis:
490    int MatPreallocateSymmetricInitialize(MPI_Comm comm, int nrows, int ncols, int *dnz, int *onz)
491 
492    Collective on MPI_Comm
493 
494    Input Parameters:
495 +  comm - the communicator that will share the eventually allocated matrix
496 .  nrows - the number of rows in the matrix
497 -  ncols - the number of columns in the matrix
498 
499    Output Parameters:
500 +  dnz - the array that will be passed to the matrix preallocation routines
501 -  ozn - the other array passed to the matrix preallocation routines
502 
503 
504    Level: intermediate
505 
506    Notes:
507    See the chapter in the users manual on performance for more details
508 
509    Do not malloc or free dnz and onz that is handled internally by these routines
510 
511   Concepts: preallocation^Matrix
512 
513 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
514           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
515 M*/
516 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
517 { \
518   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__end; \
519   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
520   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
521   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
522   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
523 
524 /*MC
525    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
526        inserted using a local number of the rows and columns
527 
528    Synopsis:
529    int MatPreallocateSetLocal(ISLocalToGlobalMappping map,int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
530 
531    Not Collective
532 
533    Input Parameters:
534 +  map - the mapping between local numbering and global numbering
535 .  nrows - the number of rows indicated
536 .  rows - the indices of the rows (these will be mapped in the
537 .  ncols - the number of columns in the matrix
538 .  cols - the columns indicated
539 .  dnz - the array that will be passed to the matrix preallocation routines
540 -  ozn - the other array passed to the matrix preallocation routines
541 
542 
543    Level: intermediate
544 
545    Notes:
546    See the chapter in the users manual on performance for more details
547 
548    Do not malloc or free dnz and onz that is handled internally by these routines
549 
550   Concepts: preallocation^Matrix
551 
552 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
553           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
554 M*/
555 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
556 {\
557   int __l;\
558   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
559   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
560   for (__l=0;__l<nrows;__l++) {\
561     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
562   }\
563 }
564 
565 /*MC
566    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
567        inserted using a local number of the rows and columns
568 
569    Synopsis:
570    int MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
571 
572    Not Collective
573 
574    Input Parameters:
575 +  map - the mapping between local numbering and global numbering
576 .  nrows - the number of rows indicated
577 .  rows - the indices of the rows (these will be mapped in the
578 .  ncols - the number of columns in the matrix
579 .  cols - the columns indicated
580 .  dnz - the array that will be passed to the matrix preallocation routines
581 -  ozn - the other array passed to the matrix preallocation routines
582 
583 
584    Level: intermediate
585 
586    Notes:
587    See the chapter in the users manual on performance for more details
588 
589    Do not malloc or free dnz and onz that is handled internally by these routines
590 
591   Concepts: preallocation^Matrix
592 
593 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
594           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
595 M*/
596 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
597 {\
598   int __l;\
599   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
600   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
601   for (__l=0;__l<nrows;__l++) {\
602     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
603   }\
604 }
605 
606 /*MC
607    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
608        inserted using a local number of the rows and columns
609 
610    Synopsis:
611    int MatPreallocateSet(int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
612 
613    Not Collective
614 
615    Input Parameters:
616 +  nrows - the number of rows indicated
617 .  rows - the indices of the rows (these will be mapped in the
618 .  ncols - the number of columns in the matrix
619 .  cols - the columns indicated
620 .  dnz - the array that will be passed to the matrix preallocation routines
621 -  ozn - the other array passed to the matrix preallocation routines
622 
623 
624    Level: intermediate
625 
626    Notes:
627    See the chapter in the users manual on performance for more details
628 
629    Do not malloc or free dnz and onz that is handled internally by these routines
630 
631   Concepts: preallocation^Matrix
632 
633 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
634           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
635 M*/
636 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
637 { int __i; \
638   for (__i=0; __i<nc; __i++) {\
639     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
640   }\
641   dnz[row - __rstart] = nc - onz[row - __rstart];\
642 }
643 
644 /*MC
645    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
646        inserted using a local number of the rows and columns
647 
648    Synopsis:
649    int MatPreallocateSymmetricSet(int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
650 
651    Not Collective
652 
653    Input Parameters:
654 +  nrows - the number of rows indicated
655 .  rows - the indices of the rows (these will be mapped in the
656 .  ncols - the number of columns in the matrix
657 .  cols - the columns indicated
658 .  dnz - the array that will be passed to the matrix preallocation routines
659 -  ozn - the other array passed to the matrix preallocation routines
660 
661 
662    Level: intermediate
663 
664    Notes:
665    See the chapter in the users manual on performance for more details
666 
667    Do not malloc or free dnz and onz that is handled internally by these routines
668 
669   Concepts: preallocation^Matrix
670 
671 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
672           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
673 M*/
674 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
675 { int __i; \
676   for (__i=0; __i<nc; __i++) {\
677     if (cols[__i] >= __end) onz[row - __rstart]++; \
678     else if (cols[__i] >= row) dnz[row - __rstart]++;\
679   }\
680 }
681 
682 /*MC
683    MatPreallocFinalize - Ends the block of code that will count the number of nonzeros per
684        row in a matrix providing the data that one can use to correctly preallocate the matrix.
685 
686    Synopsis:
687    int MatPreallocateFinalize(int *dnz, int *onz)
688 
689    Collective on MPI_Comm
690 
691    Input Parameters:
692 +  dnz - the array that will be passed to the matrix preallocation routines
693 -  ozn - the other array passed to the matrix preallocation routines
694 
695 
696    Level: intermediate
697 
698    Notes:
699    See the chapter in the users manual on performance for more details
700 
701    Do not malloc or free dnz and onz that is handled internally by these routines
702 
703   Concepts: preallocation^Matrix
704 
705 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
706           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
707 M*/
708 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);}
709 
710 
711 
712 /* Routines unique to particular data structures */
713 EXTERN int MatShellGetContext(Mat,void **);
714 
715 EXTERN int MatBDiagGetData(Mat,int*,int*,int*[],int*[],PetscScalar***);
716 EXTERN int MatSeqAIJSetColumnIndices(Mat,int[]);
717 EXTERN int MatSeqBAIJSetColumnIndices(Mat,int[]);
718 EXTERN int MatCreateSeqAIJWithArrays(MPI_Comm,int,int,int[],int[],PetscScalar[],Mat*);
719 
720 EXTERN int MatSeqBAIJSetPreallocation(Mat,int,int,const int[]);
721 EXTERN int MatSeqSBAIJSetPreallocation(Mat,int,int,const int[]);
722 EXTERN int MatSeqAIJSetPreallocation(Mat,int,const int[]);
723 EXTERN int MatSeqDensePreallocation(Mat,PetscScalar[]);
724 EXTERN int MatSeqBDiagSetPreallocation(Mat,int,int,const int[],PetscScalar*[]);
725 EXTERN int MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
726 
727 EXTERN int MatMPIBAIJSetPreallocation(Mat,int,int,const int[],int,const int[]);
728 EXTERN int MatMPISBAIJSetPreallocation(Mat,int,int,const int[],int,const int[]);
729 EXTERN int MatMPIAIJSetPreallocation(Mat,int,const int[],int,const int[]);
730 EXTERN int MatMPIDensePreallocation(Mat,PetscScalar[]);
731 EXTERN int MatMPIBDiagSetPreallocation(Mat,int,int,const int[],PetscScalar*[]);
732 EXTERN int MatMPIAdjSetPreallocation(Mat,int[],int[],int[]);
733 EXTERN int MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
734 EXTERN int MatMPIRowbsSetPreallocation(Mat,int,const int[]);
735 EXTERN int MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,int*[]);
736 EXTERN int MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,int*[]);
737 EXTERN int MatAdicSetLocalFunction(Mat,void (*)(void));
738 
739 EXTERN int MatSeqDenseSetLDA(Mat,int);
740 
741 EXTERN int MatStoreValues(Mat);
742 EXTERN int MatRetrieveValues(Mat);
743 
744 EXTERN int MatDAADSetCtx(Mat,void*);
745 
746 /*
747   These routines are not usually accessed directly, rather solving is
748   done through the SLES, KSP and PC interfaces.
749 */
750 
751 /*E
752     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
753        with an optional dynamic library name, for example
754        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
755 
756    Level: beginner
757 
758 .seealso: MatGetOrdering()
759 E*/
760 typedef char* MatOrderingType;
761 #define MATORDERING_NATURAL   "natural"
762 #define MATORDERING_ND        "nd"
763 #define MATORDERING_1WD       "1wd"
764 #define MATORDERING_RCM       "rcm"
765 #define MATORDERING_QMD       "qmd"
766 #define MATORDERING_ROWLENGTH "rowlength"
767 #define MATORDERING_DSC_ND    "dsc_nd"
768 #define MATORDERING_DSC_MMD   "dsc_mmd"
769 #define MATORDERING_DSC_MDF   "dsc_mdf"
770 #define MATORDERING_CONSTRAINED "constrained"
771 #define MATORDERING_IDENTITY  "identity"
772 #define MATORDERING_REVERSE   "reverse"
773 
774 EXTERN int MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
775 EXTERN int MatOrderingRegister(char*,char*,char*,int(*)(Mat,MatOrderingType,IS*,IS*));
776 
777 /*MC
778    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the
779                                matrix package.
780 
781    Synopsis:
782    int MatOrderingRegisterDynamic(char *name_ordering,char *path,char *name_create,int (*routine_create)(MatOrdering))
783 
784    Not Collective
785 
786    Input Parameters:
787 +  sname - name of ordering (for example MATORDERING_ND)
788 .  path - location of library where creation routine is
789 .  name - name of function that creates the ordering type,a string
790 -  function - function pointer that creates the ordering
791 
792    Level: developer
793 
794    If dynamic libraries are used, then the fourth input argument (function)
795    is ignored.
796 
797    Sample usage:
798 .vb
799    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
800                "MyOrder",MyOrder);
801 .ve
802 
803    Then, your partitioner can be chosen with the procedural interface via
804 $     MatOrderingSetType(part,"my_order)
805    or at runtime via the option
806 $     -pc_ilu_mat_ordering_type my_order
807 $     -pc_lu_mat_ordering_type my_order
808 
809    ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
810 
811 .keywords: matrix, ordering, register
812 
813 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
814 M*/
815 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
816 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
817 #else
818 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
819 #endif
820 
821 EXTERN int        MatOrderingRegisterDestroy(void);
822 EXTERN int        MatOrderingRegisterAll(char*);
823 extern PetscTruth MatOrderingRegisterAllCalled;
824 extern PetscFList MatOrderingList;
825 
826 EXTERN int MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
827 
828 /*S
829    MatFactorInfo - Data based into the matrix factorization routines
830 
831    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE
832 
833    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
834 
835    Level: developer
836 
837 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor()
838 
839 S*/
840 typedef struct {
841   PetscReal     damping;        /* scaling of identity added to matrix to prevent zero pivots */
842   PetscReal     shift;          /* if true, shift until positive pivots */
843   PetscReal     shift_fraction; /* record shift fraction taken */
844   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
845   PetscReal     dt;             /* drop tolerance */
846   PetscReal     dtcol;          /* tolerance for pivoting */
847   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
848   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
849   PetscReal     levels;         /* ICC/ILU(levels) */
850   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
851                                    factorization may be faster if do not pivot */
852   PetscReal     zeropivot;      /* pivot is called zero if less than this */
853 } MatFactorInfo;
854 
855 EXTERN int MatCholeskyFactor(Mat,IS,MatFactorInfo*);
856 EXTERN int MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
857 EXTERN int MatCholeskyFactorNumeric(Mat,Mat*);
858 EXTERN int MatLUFactor(Mat,IS,IS,MatFactorInfo*);
859 EXTERN int MatILUFactor(Mat,IS,IS,MatFactorInfo*);
860 EXTERN int MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
861 EXTERN int MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
862 EXTERN int MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
863 EXTERN int MatICCFactor(Mat,IS,MatFactorInfo*);
864 EXTERN int MatLUFactorNumeric(Mat,Mat*);
865 EXTERN int MatILUDTFactor(Mat,MatFactorInfo*,IS,IS,Mat *);
866 EXTERN int MatGetInertia(Mat,int*,int*,int*);
867 EXTERN int MatSolve(Mat,Vec,Vec);
868 EXTERN int MatForwardSolve(Mat,Vec,Vec);
869 EXTERN int MatBackwardSolve(Mat,Vec,Vec);
870 EXTERN int MatSolveAdd(Mat,Vec,Vec,Vec);
871 EXTERN int MatSolveTranspose(Mat,Vec,Vec);
872 EXTERN int MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
873 EXTERN int MatSolves(Mat,Vecs,Vecs);
874 
875 EXTERN int MatSetUnfactored(Mat);
876 
877 /*E
878     MatSORType - What type of (S)SOR to perform
879 
880     Level: beginner
881 
882    May be bitwise ORd together
883 
884    Any additions/changes here MUST also be made in include/finclude/petscmat.h
885 
886    MatSORType may be bitwise ORd together, so do not change the numbers
887 
888 .seealso: MatRelax()
889 E*/
890 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
891               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
892               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
893               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
894 EXTERN int MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,int,int,Vec);
895 
896 /*
897     These routines are for efficiently computing Jacobians via finite differences.
898 */
899 
900 /*E
901     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
902        with an optional dynamic library name, for example
903        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
904 
905    Level: beginner
906 
907 .seealso: MatGetColoring()
908 E*/
909 typedef char* MatColoringType;
910 #define MATCOLORING_NATURAL "natural"
911 #define MATCOLORING_SL      "sl"
912 #define MATCOLORING_LF      "lf"
913 #define MATCOLORING_ID      "id"
914 
915 EXTERN int MatGetColoring(Mat,MatColoringType,ISColoring*);
916 EXTERN int MatColoringRegister(char*,char*,char*,int(*)(Mat,MatColoringType,ISColoring *));
917 
918 /*MC
919    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
920                                matrix package.
921 
922    Synopsis:
923    int MatColoringRegisterDynamic(char *name_coloring,char *path,char *name_create,int (*routine_create)(MatColoring))
924 
925    Not Collective
926 
927    Input Parameters:
928 +  sname - name of Coloring (for example MATCOLORING_SL)
929 .  path - location of library where creation routine is
930 .  name - name of function that creates the Coloring type, a string
931 -  function - function pointer that creates the coloring
932 
933    Level: developer
934 
935    If dynamic libraries are used, then the fourth input argument (function)
936    is ignored.
937 
938    Sample usage:
939 .vb
940    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
941                "MyColor",MyColor);
942 .ve
943 
944    Then, your partitioner can be chosen with the procedural interface via
945 $     MatColoringSetType(part,"my_color")
946    or at runtime via the option
947 $     -mat_coloring_type my_color
948 
949    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
950 
951 .keywords: matrix, Coloring, register
952 
953 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
954 M*/
955 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
956 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
957 #else
958 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
959 #endif
960 
961 EXTERN int        MatColoringRegisterAll(char *);
962 extern PetscTruth MatColoringRegisterAllCalled;
963 EXTERN int        MatColoringRegisterDestroy(void);
964 EXTERN int        MatColoringPatch(Mat,int,int,const ISColoringValue[],ISColoring*);
965 
966 /*S
967      MatFDColoring - Object for computing a sparse Jacobian via finite differences
968         and coloring
969 
970    Level: beginner
971 
972   Concepts: coloring, sparse Jacobian, finite differences
973 
974 .seealso:  MatFDColoringCreate()
975 S*/
976 typedef struct _p_MatFDColoring *MatFDColoring;
977 
978 EXTERN int MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
979 EXTERN int MatFDColoringDestroy(MatFDColoring);
980 EXTERN int MatFDColoringView(MatFDColoring,PetscViewer);
981 EXTERN int MatFDColoringSetFunction(MatFDColoring,int (*)(void),void*);
982 EXTERN int MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
983 EXTERN int MatFDColoringSetFrequency(MatFDColoring,int);
984 EXTERN int MatFDColoringGetFrequency(MatFDColoring,int*);
985 EXTERN int MatFDColoringSetFromOptions(MatFDColoring);
986 EXTERN int MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
987 EXTERN int MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
988 EXTERN int MatFDColoringSetRecompute(MatFDColoring);
989 EXTERN int MatFDColoringSetF(MatFDColoring,Vec);
990 EXTERN int MatFDColoringGetPerturbedColumns(MatFDColoring,int*,int*[]);
991 /*
992     These routines are for partitioning matrices: currently used only
993   for adjacency matrix, MatCreateMPIAdj().
994 */
995 
996 /*S
997      MatPartitioning - Object for managing the partitioning of a matrix or graph
998 
999    Level: beginner
1000 
1001   Concepts: partitioning
1002 
1003 .seealso:  MatPartitioningCreate(), MatPartitioningType
1004 S*/
1005 typedef struct _p_MatPartitioning *MatPartitioning;
1006 
1007 /*E
1008     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1009        with an optional dynamic library name, for example
1010        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1011 
1012    Level: beginner
1013 
1014 .seealso: MatPartitioningCreate(), MatPartitioning
1015 E*/
1016 typedef char* MatPartitioningType;
1017 #define MAT_PARTITIONING_CURRENT  "current"
1018 #define MAT_PARTITIONING_PARMETIS "parmetis"
1019 
1020 EXTERN int MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1021 EXTERN int MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1022 EXTERN int MatPartitioningSetNParts(MatPartitioning,int);
1023 EXTERN int MatPartitioningSetAdjacency(MatPartitioning,Mat);
1024 EXTERN int MatPartitioningSetVertexWeights(MatPartitioning,const int[]);
1025 EXTERN int MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1026 EXTERN int MatPartitioningApply(MatPartitioning,IS*);
1027 EXTERN int MatPartitioningDestroy(MatPartitioning);
1028 
1029 EXTERN int MatPartitioningRegister(char*,char*,char*,int(*)(MatPartitioning));
1030 
1031 /*MC
1032    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1033    matrix package.
1034 
1035    Synopsis:
1036    int MatPartitioningRegisterDynamic(char *name_partitioning,char *path,char *name_create,int (*routine_create)(MatPartitioning))
1037 
1038    Not Collective
1039 
1040    Input Parameters:
1041 +  sname - name of partitioning (for example MAT_PARTITIONING_CURRENT) or parmetis
1042 .  path - location of library where creation routine is
1043 .  name - name of function that creates the partitioning type, a string
1044 -  function - function pointer that creates the partitioning type
1045 
1046    Level: developer
1047 
1048    If dynamic libraries are used, then the fourth input argument (function)
1049    is ignored.
1050 
1051    Sample usage:
1052 .vb
1053    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1054                "MyPartCreate",MyPartCreate);
1055 .ve
1056 
1057    Then, your partitioner can be chosen with the procedural interface via
1058 $     MatPartitioningSetType(part,"my_part")
1059    or at runtime via the option
1060 $     -mat_partitioning_type my_part
1061 
1062    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
1063 
1064 .keywords: matrix, partitioning, register
1065 
1066 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1067 M*/
1068 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1069 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1070 #else
1071 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1072 #endif
1073 
1074 EXTERN int        MatPartitioningRegisterAll(char *);
1075 extern PetscTruth MatPartitioningRegisterAllCalled;
1076 EXTERN int        MatPartitioningRegisterDestroy(void);
1077 
1078 EXTERN int MatPartitioningView(MatPartitioning,PetscViewer);
1079 EXTERN int MatPartitioningSetFromOptions(MatPartitioning);
1080 EXTERN int MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1081 
1082 EXTERN int MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1083 
1084 /*
1085     If you add entries here you must also add them to finclude/petscmat.h
1086 */
1087 typedef enum { MATOP_SET_VALUES=0,
1088                MATOP_GET_ROW=1,
1089                MATOP_RESTORE_ROW=2,
1090                MATOP_MULT=3,
1091                MATOP_MULT_ADD=4,
1092                MATOP_MULT_TRANSPOSE=5,
1093                MATOP_MULT_TRANSPOSE_ADD=6,
1094                MATOP_SOLVE=7,
1095                MATOP_SOLVE_ADD=8,
1096                MATOP_SOLVE_TRANSPOSE=9,
1097                MATOP_SOLVE_TRANSPOSE_ADD=10,
1098                MATOP_LUFACTOR=11,
1099                MATOP_CHOLESKYFACTOR=12,
1100                MATOP_RELAX=13,
1101                MATOP_TRANSPOSE=14,
1102                MATOP_GETINFO=15,
1103                MATOP_EQUAL=16,
1104                MATOP_GET_DIAGONAL=17,
1105                MATOP_DIAGONAL_SCALE=18,
1106                MATOP_NORM=19,
1107                MATOP_ASSEMBLY_BEGIN=20,
1108                MATOP_ASSEMBLY_END=21,
1109                MATOP_COMPRESS=22,
1110                MATOP_SET_OPTION=23,
1111                MATOP_ZERO_ENTRIES=24,
1112                MATOP_ZERO_ROWS=25,
1113                MATOP_LUFACTOR_SYMBOLIC=26,
1114                MATOP_LUFACTOR_NUMERIC=27,
1115                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
1116                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
1117                MATOP_SETUP_PREALLOCATION=30,
1118                MATOP_ILUFACTOR_SYMBOLIC=31,
1119                MATOP_ICCFACTOR_SYMBOLIC=32,
1120                MATOP_GET_ARRAY=33,
1121                MATOP_RESTORE_ARRAY=34,
1122                MATOP_DUPLCIATE=35,
1123                MATOP_FORWARD_SOLVE=36,
1124                MATOP_BACKWARD_SOLVE=37,
1125                MATOP_ILUFACTOR=38,
1126                MATOP_ICCFACTOR=39,
1127                MATOP_AXPY=40,
1128                MATOP_GET_SUBMATRICES=41,
1129                MATOP_INCREASE_OVERLAP=42,
1130                MATOP_GET_VALUES=43,
1131                MATOP_COPY=44,
1132                MATOP_PRINT_HELP=45,
1133                MATOP_SCALE=46,
1134                MATOP_SHIFT=47,
1135                MATOP_DIAGONAL_SHIFT=48,
1136                MATOP_ILUDT_FACTOR=49,
1137                MATOP_GET_BLOCK_SIZE=50,
1138                MATOP_GET_ROW_IJ=51,
1139                MATOP_RESTORE_ROW_IJ=52,
1140                MATOP_GET_COLUMN_IJ=53,
1141                MATOP_RESTORE_COLUMN_IJ=54,
1142                MATOP_FDCOLORING_CREATE=55,
1143                MATOP_COLORING_PATCH=56,
1144                MATOP_SET_UNFACTORED=57,
1145                MATOP_PERMUTE=58,
1146                MATOP_SET_VALUES_BLOCKED=59,
1147                MATOP_GET_SUBMATRIX=60,
1148                MATOP_DESTROY=61,
1149                MATOP_VIEW=62,
1150                MATOP_GET_MAPS=63,
1151                MATOP_USE_SCALED_FORM=64,
1152                MATOP_SCALE_SYSTEM=65,
1153                MATOP_UNSCALE_SYSTEM=66,
1154                MATOP_SET_LOCAL_TO_GLOBAL_MAPPING=67,
1155                MATOP_SET_VALUES_LOCAL=68,
1156                MATOP_ZERO_ROWS_LOCAL=69,
1157                MATOP_GET_ROW_MAX=70,
1158                MATOP_CONVERT=71,
1159                MATOP_SET_COLORING=72,
1160                MATOP_SET_VALUES_ADIC=73,
1161                MATOP_SET_VALUES_ADIFOR=74,
1162                MATOP_FD_COLORING_APPLY=75,
1163                MATOP_SET_FROM_OPTIONS=76,
1164                MATOP_MULT_CONSTRAINED=77,
1165                MATOP_MULT_TRANSPOSE_CONSTRAINED=78,
1166                MATOP_ILU_FACTOR_SYMBOLIC_CONSTRAINED=79,
1167                MATOP_PERMUTE_SPARSIFY=80,
1168                MATOP_MULT_MULTIPLE=81,
1169                MATOP_SOLVE_MULTIPLE=82
1170              } MatOperation;
1171 EXTERN int MatHasOperation(Mat,MatOperation,PetscTruth*);
1172 EXTERN int MatShellSetOperation(Mat,MatOperation,void(*)(void));
1173 EXTERN int MatShellGetOperation(Mat,MatOperation,void(**)(void));
1174 EXTERN int MatShellSetContext(Mat,void*);
1175 
1176 /*
1177    Codes for matrices stored on disk. By default they are
1178  stored in a universal format. By changing the format with
1179  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
1180  be stored in a way natural for the matrix, for example dense matrices
1181  would be stored as dense. Matrices stored this way may only be
1182  read into matrices of the same time.
1183 */
1184 #define MATRIX_BINARY_FORMAT_DENSE -1
1185 
1186 EXTERN int MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1187 EXTERN int MatSeqAIJGetInodeSizes(Mat,int *,int *[],int *);
1188 EXTERN int MatMPIRowbsGetColor(Mat,ISColoring *);
1189 
1190 /*S
1191      MatNullSpace - Object that removes a null space from a vector, i.e.
1192          orthogonalizes the vector to a subsapce
1193 
1194    Level: advanced
1195 
1196   Concepts: matrix; linear operator, null space
1197 
1198   Users manual sections:
1199 .   sec_singular
1200 
1201 .seealso:  MatNullSpaceCreate()
1202 S*/
1203 typedef struct _p_MatNullSpace* MatNullSpace;
1204 
1205 EXTERN int MatNullSpaceCreate(MPI_Comm,int,int,const Vec[],MatNullSpace*);
1206 EXTERN int MatNullSpaceDestroy(MatNullSpace);
1207 EXTERN int MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1208 EXTERN int MatNullSpaceAttach(Mat,MatNullSpace);
1209 EXTERN int MatNullSpaceTest(MatNullSpace,Mat);
1210 
1211 EXTERN int MatReorderingSeqSBAIJ(Mat A,IS isp);
1212 EXTERN int MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1213 EXTERN int MatSeqSBAIJSetColumnIndices(Mat,int *);
1214 
1215 EXTERN int MatMatMult(Mat A,Mat B, Mat *C);
1216 EXTERN int MatMatMultSymbolic(Mat A,Mat B,Mat *C);
1217 EXTERN int MatMatMultNumeric(Mat A,Mat B,Mat C);
1218 
1219 EXTERN int MatCreateMAIJ(Mat,int,Mat*);
1220 EXTERN int MatMAIJRedimension(Mat,int,Mat*);
1221 EXTERN int MatMAIJGetAIJ(Mat,Mat*);
1222 
1223 EXTERN int MatComputeExplicitOperator(Mat,Mat*);
1224 
1225 EXTERN int MatESISetType(Mat,char*);
1226 EXTERN int MatESISetFromOptions(Mat);
1227 
1228 EXTERN int MatDiagonalScaleLocal(Mat,Vec);
1229 
1230 EXTERN int PetscViewerMathematicaPutMatrix(PetscViewer, int, int, PetscReal *);
1231 EXTERN int PetscViewerMathematicaPutCSRMatrix(PetscViewer, int, int, int *, int *, PetscReal *);
1232 
1233 EXTERN int MatUseSpooles_SeqAIJ(Mat);
1234 EXTERN int MatUseUMFPACK_SeqAIJ(Mat);
1235 EXTERN int MatUseSuperLU_SeqAIJ(Mat);
1236 EXTERN int MatUseEssl_SeqAIJ(Mat);
1237 EXTERN int MatUseLUSOL_SeqAIJ(Mat);
1238 EXTERN int MatUseMatlab_SeqAIJ(Mat);
1239 EXTERN int MatUseDXML_SeqAIJ(Mat);
1240 EXTERN int MatUsePETSc_SeqAIJ(Mat);
1241 EXTERN int MatUseSuperLU_DIST_MPIAIJ(Mat);
1242 EXTERN int MatUseSpooles_MPIAIJ(Mat);
1243 EXTERN int MatUseSpooles_SeqSBAIJ(Mat);
1244 EXTERN int MatUseSpooles_MPISBAIJ(Mat);
1245 EXTERN int MatUseMUMPS_MPIAIJ(Mat);
1246 
1247 #endif
1248 
1249 
1250 
1251