xref: /petsc/include/petscmat.h (revision 4482741e5b2e2bbc854fb1f8dba65221386520f2)
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 PETSC_EXTERN_CXX_BEGIN
9 
10 /*S
11      Mat - Abstract PETSc matrix object
12 
13    Level: beginner
14 
15   Concepts: matrix; linear operator
16 
17 .seealso:  MatCreate(), MatType, MatSetType()
18 S*/
19 typedef struct _p_Mat*           Mat;
20 
21 /*E
22     MatType - String with the name of a PETSc matrix or the creation function
23        with an optional dynamic library name, for example
24        http://www.mcs.anl.gov/petsc/lib.a:mymatcreate()
25 
26    Level: beginner
27 
28 .seealso: MatSetType(), Mat
29 E*/
30 #define MATSAME            "same"
31 #define MATSEQMAIJ         "seqmaij"
32 #define MATMPIMAIJ         "mpimaij"
33 #define MATMAIJ            "maij"
34 #define MATIS              "is"
35 #define MATMPIROWBS        "mpirowbs"
36 #define MATSEQAIJ          "seqaij"
37 #define MATMPIAIJ          "mpiaij"
38 #define MATAIJ             "aij"
39 #define MATSHELL           "shell"
40 #define MATSEQBDIAG        "seqbdiag"
41 #define MATMPIBDIAG        "mpibdiag"
42 #define MATBDIAG           "bdiag"
43 #define MATSEQDENSE        "seqdense"
44 #define MATMPIDENSE        "mpidense"
45 #define MATDENSE           "dense"
46 #define MATSEQBAIJ         "seqbaij"
47 #define MATMPIBAIJ         "mpibaij"
48 #define MATBAIJ            "baij"
49 #define MATMPIADJ          "mpiadj"
50 #define MATSEQSBAIJ        "seqsbaij"
51 #define MATMPISBAIJ        "mpisbaij"
52 #define MATSBAIJ           "sbaij"
53 #define MATDAAD            "daad"
54 #define MATMFFD            "mffd"
55 #define MATESI             "esi"
56 #define MATPETSCESI        "petscesi"
57 #define MATNORMAL          "normal"
58 #define MATSEQAIJSPOOLES   "seqaijspooles"
59 #define MATMPIAIJSPOOLES   "mpiaijspooles"
60 #define MATSEQSBAIJSPOOLES "seqsbaijspooles"
61 #define MATMPISBAIJSPOOLES "mpisbaijspooles"
62 #define MATSUPERLU         "superlu"
63 #define MATSUPERLU_DIST    "superlu_dist"
64 #define MATUMFPACK         "umfpack"
65 #define MATESSL            "essl"
66 #define MATLUSOL           "lusol"
67 #define MATAIJMUMPS        "aijmumps"
68 #define MATSBAIJMUMPS      "sbaijmumps"
69 #define MATDSCPACK         "dscpack"
70 #define MatType char*
71 
72 /* Logging support */
73 #define    MAT_FILE_COOKIE 1211216    /* used to indicate matrices in binary files */
74 extern int MAT_COOKIE;
75 extern int MATSNESMFCTX_COOKIE;
76 extern int MAT_FDCOLORING_COOKIE;
77 extern int MAT_PARTITIONING_COOKIE;
78 extern int MAT_NULLSPACE_COOKIE;
79 extern int MAT_Mult, MAT_MultMatrixFree, MAT_Mults, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
80 extern int MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_Solves, MAT_SolveAdd, MAT_SolveTranspose;
81 extern int MAT_SolveTransposeAdd, MAT_Relax, MAT_ForwardSolve, MAT_BackwardSolve, MAT_LUFactor, MAT_LUFactorSymbolic;
82 extern int MAT_LUFactorNumeric, MAT_CholeskyFactor, MAT_CholeskyFactorSymbolic, MAT_CholeskyFactorNumeric, MAT_ILUFactor;
83 extern int MAT_ILUFactorSymbolic, MAT_ICCFactorSymbolic, MAT_Copy, MAT_Convert, MAT_Scale, MAT_AssemblyBegin;
84 extern int MAT_AssemblyEnd, MAT_SetValues, MAT_GetValues, MAT_GetRow, MAT_GetSubMatrices, MAT_GetColoring, MAT_GetOrdering;
85 extern int MAT_IncreaseOverlap, MAT_Partitioning, MAT_ZeroEntries, MAT_Load, MAT_View, MAT_AXPY, MAT_FDColoringCreate;
86 extern int MAT_FDColoringApply, MAT_Transpose, MAT_FDColoringFunction;
87 
88 EXTERN int MatInitializePackage(char *);
89 
90 EXTERN int MatCreate(MPI_Comm,int,int,int,int,Mat*);
91 EXTERN int MatSetType(Mat,const MatType);
92 EXTERN int MatSetFromOptions(Mat);
93 EXTERN int MatSetUpPreallocation(Mat);
94 EXTERN int MatRegisterAll(const char[]);
95 EXTERN int MatRegister(const char[],const char[],const char[],int(*)(Mat));
96 
97 /*MC
98    MatRegisterDynamic - Adds a new matrix type
99 
100    Synopsis:
101    int MatRegisterDynamic(char *name,char *path,char *name_create,int (*routine_create)(Mat))
102 
103    Not Collective
104 
105    Input Parameters:
106 +  name - name of a new user-defined matrix type
107 .  path - path (either absolute or relative) the library containing this solver
108 .  name_create - name of routine to create method context
109 -  routine_create - routine to create method context
110 
111    Notes:
112    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
113 
114    If dynamic libraries are used, then the fourth input argument (routine_create)
115    is ignored.
116 
117    Sample usage:
118 .vb
119    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
120                "MyMatCreate",MyMatCreate);
121 .ve
122 
123    Then, your solver can be chosen with the procedural interface via
124 $     MatSetType(Mat,"my_mat")
125    or at runtime via the option
126 $     -mat_type my_mat
127 
128    Level: advanced
129 
130    Notes: ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
131          If your function is not being put into a shared library then use VecRegister() instead
132 
133 .keywords: Mat, register
134 
135 .seealso: MatRegisterAll(), MatRegisterDestroy()
136 
137 M*/
138 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
139 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
140 #else
141 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
142 #endif
143 
144 extern PetscTruth MatRegisterAllCalled;
145 extern PetscFList MatList;
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(), MatSetValuesBlockStencil()
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,MAT_NOT_SYMMETRIC=83,MAT_HERMITIAN=84,
267               MAT_NOT_STRUCTURALLY_SYMMETRIC=85,MAT_NOT_HERMITIAN=86,
268               MAT_SYMMETRY_ETERNAL=87,MAT_NOT_SYMMETRY_ETERNAL=88} MatOption;
269 EXTERN int MatSetOption(Mat,MatOption);
270 EXTERN int MatGetType(Mat,MatType*);
271 
272 EXTERN int MatGetValues(Mat,int,const int[],int,const int[],PetscScalar[]);
273 EXTERN int MatGetRow(Mat,int,int *,int *[],PetscScalar*[]);
274 EXTERN int MatRestoreRow(Mat,int,int *,int *[],PetscScalar*[]);
275 EXTERN int MatGetColumn(Mat,int,int *,int *[],PetscScalar*[]);
276 EXTERN int MatRestoreColumn(Mat,int,int *,int *[],PetscScalar*[]);
277 EXTERN int MatGetColumnVector(Mat,Vec,int);
278 EXTERN int MatGetArray(Mat,PetscScalar *[]);
279 EXTERN int MatRestoreArray(Mat,PetscScalar *[]);
280 EXTERN int MatGetBlockSize(Mat,int *);
281 
282 EXTERN int MatMult(Mat,Vec,Vec);
283 EXTERN int MatMultAdd(Mat,Vec,Vec,Vec);
284 EXTERN int MatMultTranspose(Mat,Vec,Vec);
285 EXTERN int MatIsTranspose(Mat,Mat,PetscTruth*);
286 EXTERN int MatMultTransposeAdd(Mat,Vec,Vec,Vec);
287 EXTERN int MatMultConstrained(Mat,Vec,Vec);
288 EXTERN int MatMultTransposeConstrained(Mat,Vec,Vec);
289 
290 /*E
291     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
292   its numerical values copied over or just its nonzero structure.
293 
294     Level: beginner
295 
296    Any additions/changes here MUST also be made in include/finclude/petscmat.h
297 
298 .seealso: MatDuplicate()
299 E*/
300 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption;
301 
302 EXTERN int MatConvertRegister(const char[],const char[],const char[],int (*)(Mat,MatType,Mat*));
303 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
304 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0)
305 #else
306 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d)
307 #endif
308 EXTERN int        MatConvertRegisterAll(const char[]);
309 EXTERN int        MatConvertRegisterDestroy(void);
310 extern PetscTruth MatConvertRegisterAllCalled;
311 extern PetscFList MatConvertList;
312 EXTERN int        MatConvert(Mat,const MatType,Mat*);
313 EXTERN int        MatDuplicate(Mat,MatDuplicateOption,Mat*);
314 
315 /*E
316     MatStructure - Indicates if the matrix has the same nonzero structure
317 
318     Level: beginner
319 
320    Any additions/changes here MUST also be made in include/finclude/petscmat.h
321 
322 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
323 E*/
324 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
325 
326 EXTERN int MatCopy(Mat,Mat,MatStructure);
327 EXTERN int MatView(Mat,PetscViewer);
328 EXTERN int MatIsSymmetric(Mat,PetscTruth*);
329 EXTERN int MatLoad(PetscViewer,const MatType,Mat*);
330 EXTERN int MatMerge(MPI_Comm,Mat,Mat*);
331 
332 EXTERN int MatGetRowIJ(Mat,int,PetscTruth,int*,int *[],int *[],PetscTruth *);
333 EXTERN int MatRestoreRowIJ(Mat,int,PetscTruth,int *,int *[],int *[],PetscTruth *);
334 EXTERN int MatGetColumnIJ(Mat,int,PetscTruth,int*,int *[],int *[],PetscTruth *);
335 EXTERN int MatRestoreColumnIJ(Mat,int,PetscTruth,int *,int *[],int *[],PetscTruth *);
336 
337 /*S
338      MatInfo - Context of matrix information, used with MatGetInfo()
339 
340    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
341 
342    Level: intermediate
343 
344   Concepts: matrix^nonzero information
345 
346 .seealso:  MatGetInfo(), MatInfoType
347 S*/
348 typedef struct {
349   PetscLogDouble rows_global,columns_global;         /* number of global rows and columns */
350   PetscLogDouble rows_local,columns_local;           /* number of local rows and columns */
351   PetscLogDouble block_size;                         /* block size */
352   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
353   PetscLogDouble memory;                             /* memory allocated */
354   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
355   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
356   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
357   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
358 } MatInfo;
359 
360 /*E
361     MatInfoType - Indicates if you want information about the local part of the matrix,
362      the entire parallel matrix or the maximum over all the local parts.
363 
364     Level: beginner
365 
366    Any additions/changes here MUST also be made in include/finclude/petscmat.h
367 
368 .seealso: MatGetInfo(), MatInfo
369 E*/
370 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
371 EXTERN int MatGetInfo(Mat,MatInfoType,MatInfo*);
372 EXTERN int MatValid(Mat,PetscTruth*);
373 EXTERN int MatGetDiagonal(Mat,Vec);
374 EXTERN int MatGetRowMax(Mat,Vec);
375 EXTERN int MatTranspose(Mat,Mat*);
376 EXTERN int MatPermute(Mat,IS,IS,Mat *);
377 EXTERN int MatPermuteSparsify(Mat,int,PetscReal,PetscReal,IS,IS,Mat *);
378 EXTERN int MatDiagonalScale(Mat,Vec,Vec);
379 EXTERN int MatDiagonalSet(Mat,Vec,InsertMode);
380 EXTERN int MatEqual(Mat,Mat,PetscTruth*);
381 
382 EXTERN int MatNorm(Mat,NormType,PetscReal *);
383 EXTERN int MatZeroEntries(Mat);
384 EXTERN int MatZeroRows(Mat,IS,const PetscScalar*);
385 EXTERN int MatZeroColumns(Mat,IS,const PetscScalar*);
386 
387 EXTERN int MatUseScaledForm(Mat,PetscTruth);
388 EXTERN int MatScaleSystem(Mat,Vec,Vec);
389 EXTERN int MatUnScaleSystem(Mat,Vec,Vec);
390 
391 EXTERN int MatGetSize(Mat,int*,int*);
392 EXTERN int MatGetLocalSize(Mat,int*,int*);
393 EXTERN int MatGetOwnershipRange(Mat,int*,int*);
394 
395 /*E
396     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
397      or MatGetSubMatrix() are to be reused to store the new matrix values.
398 
399     Level: beginner
400 
401    Any additions/changes here MUST also be made in include/finclude/petscmat.h
402 
403 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices()
404 E*/
405 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse;
406 EXTERN int MatGetSubMatrices(Mat,int,const IS[],const IS[],MatReuse,Mat *[]);
407 EXTERN int MatDestroyMatrices(int,Mat *[]);
408 EXTERN int MatGetSubMatrix(Mat,IS,IS,int,MatReuse,Mat *);
409 
410 EXTERN int MatIncreaseOverlap(Mat,int,IS[],int);
411 
412 EXTERN int MatAXPY(const PetscScalar *,Mat,Mat,MatStructure);
413 EXTERN int MatAYPX(const PetscScalar *,Mat,Mat);
414 EXTERN int MatCompress(Mat);
415 
416 EXTERN int MatScale(const PetscScalar *,Mat);
417 EXTERN int MatShift(const PetscScalar *,Mat);
418 
419 EXTERN int MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
420 EXTERN int MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
421 EXTERN int MatZeroRowsLocal(Mat,IS,const PetscScalar*);
422 EXTERN int MatSetValuesLocal(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
423 EXTERN int MatSetValuesBlockedLocal(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
424 
425 EXTERN int MatSetStashInitialSize(Mat,int,int);
426 
427 EXTERN int MatInterpolateAdd(Mat,Vec,Vec,Vec);
428 EXTERN int MatInterpolate(Mat,Vec,Vec);
429 EXTERN int MatRestrict(Mat,Vec,Vec);
430 
431 
432 /*MC
433    MatPreallocInitialize - Begins the block of code that will count the number of nonzeros per
434        row in a matrix providing the data that one can use to correctly preallocate the matrix.
435 
436    Synopsis:
437    int MatPreallocateInitialize(MPI_Comm comm, int nrows, int ncols, int *dnz, int *onz)
438 
439    Collective on MPI_Comm
440 
441    Input Parameters:
442 +  comm - the communicator that will share the eventually allocated matrix
443 .  nrows - the number of rows in the matrix
444 -  ncols - the number of columns in the matrix
445 
446    Output Parameters:
447 +  dnz - the array that will be passed to the matrix preallocation routines
448 -  ozn - the other array passed to the matrix preallocation routines
449 
450 
451    Level: intermediate
452 
453    Notes:
454    See the chapter in the users manual on performance for more details
455 
456    Do not malloc or free dnz and onz that is handled internally by these routines
457 
458    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
459 
460   Concepts: preallocation^Matrix
461 
462 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
463           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
464 M*/
465 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
466 { \
467   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
468   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
469   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
470   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
471   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
472 
473 /*MC
474    MatPreallocSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
475        row in a matrix providing the data that one can use to correctly preallocate the matrix.
476 
477    Synopsis:
478    int MatPreallocateSymmetricInitialize(MPI_Comm comm, int nrows, int ncols, int *dnz, int *onz)
479 
480    Collective on MPI_Comm
481 
482    Input Parameters:
483 +  comm - the communicator that will share the eventually allocated matrix
484 .  nrows - the number of rows in the matrix
485 -  ncols - the number of columns in the matrix
486 
487    Output Parameters:
488 +  dnz - the array that will be passed to the matrix preallocation routines
489 -  ozn - the other array passed to the matrix preallocation routines
490 
491 
492    Level: intermediate
493 
494    Notes:
495    See the chapter in the users manual on performance for more details
496 
497    Do not malloc or free dnz and onz that is handled internally by these routines
498 
499   Concepts: preallocation^Matrix
500 
501 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
502           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
503 M*/
504 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
505 { \
506   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__end; \
507   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
508   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
509   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
510   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
511 
512 /*MC
513    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
514        inserted using a local number of the rows and columns
515 
516    Synopsis:
517    int MatPreallocateSetLocal(ISLocalToGlobalMappping map,int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
518 
519    Not Collective
520 
521    Input Parameters:
522 +  map - the mapping between local numbering and global numbering
523 .  nrows - the number of rows indicated
524 .  rows - the indices of the rows (these will be mapped in the
525 .  ncols - the number of columns in the matrix
526 .  cols - the columns indicated
527 .  dnz - the array that will be passed to the matrix preallocation routines
528 -  ozn - the other array passed to the matrix preallocation routines
529 
530 
531    Level: intermediate
532 
533    Notes:
534    See the chapter in the users manual on performance for more details
535 
536    Do not malloc or free dnz and onz that is handled internally by these routines
537 
538   Concepts: preallocation^Matrix
539 
540 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
541           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
542 M*/
543 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
544 {\
545   int __l;\
546   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
547   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
548   for (__l=0;__l<nrows;__l++) {\
549     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
550   }\
551 }
552 
553 /*MC
554    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
555        inserted using a local number of the rows and columns
556 
557    Synopsis:
558    int MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
559 
560    Not Collective
561 
562    Input Parameters:
563 +  map - the mapping between local numbering and global numbering
564 .  nrows - the number of rows indicated
565 .  rows - the indices of the rows (these will be mapped in the
566 .  ncols - the number of columns in the matrix
567 .  cols - the columns indicated
568 .  dnz - the array that will be passed to the matrix preallocation routines
569 -  ozn - the other array passed to the matrix preallocation routines
570 
571 
572    Level: intermediate
573 
574    Notes:
575    See the chapter in the users manual on performance for more details
576 
577    Do not malloc or free dnz and onz that is handled internally by these routines
578 
579   Concepts: preallocation^Matrix
580 
581 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
582           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
583 M*/
584 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
585 {\
586   int __l;\
587   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
588   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
589   for (__l=0;__l<nrows;__l++) {\
590     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
591   }\
592 }
593 
594 /*MC
595    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
596        inserted using a local number of the rows and columns
597 
598    Synopsis:
599    int MatPreallocateSet(int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
600 
601    Not Collective
602 
603    Input Parameters:
604 +  nrows - the number of rows indicated
605 .  rows - the indices of the rows (these will be mapped in the
606 .  ncols - the number of columns in the matrix
607 .  cols - the columns indicated
608 .  dnz - the array that will be passed to the matrix preallocation routines
609 -  ozn - the other array passed to the matrix preallocation routines
610 
611 
612    Level: intermediate
613 
614    Notes:
615    See the chapter in the users manual on performance for more details
616 
617    Do not malloc or free dnz and onz that is handled internally by these routines
618 
619   Concepts: preallocation^Matrix
620 
621 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
622           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
623 M*/
624 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
625 { int __i; \
626   for (__i=0; __i<nc; __i++) {\
627     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
628   }\
629   dnz[row - __rstart] = nc - onz[row - __rstart];\
630 }
631 
632 /*MC
633    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
634        inserted using a local number of the rows and columns
635 
636    Synopsis:
637    int MatPreallocateSymmetricSet(int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
638 
639    Not Collective
640 
641    Input Parameters:
642 +  nrows - the number of rows indicated
643 .  rows - the indices of the rows (these will be mapped in the
644 .  ncols - the number of columns in the matrix
645 .  cols - the columns indicated
646 .  dnz - the array that will be passed to the matrix preallocation routines
647 -  ozn - the other array passed to the matrix preallocation routines
648 
649 
650    Level: intermediate
651 
652    Notes:
653    See the chapter in the users manual on performance for more details
654 
655    Do not malloc or free dnz and onz that is handled internally by these routines
656 
657   Concepts: preallocation^Matrix
658 
659 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
660           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
661 M*/
662 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
663 { int __i; \
664   for (__i=0; __i<nc; __i++) {\
665     if (cols[__i] >= __end) onz[row - __rstart]++; \
666     else if (cols[__i] >= row) dnz[row - __rstart]++;\
667   }\
668 }
669 
670 /*MC
671    MatPreallocFinalize - Ends the block of code that will count the number of nonzeros per
672        row in a matrix providing the data that one can use to correctly preallocate the matrix.
673 
674    Synopsis:
675    int MatPreallocateFinalize(int *dnz, int *onz)
676 
677    Collective on MPI_Comm
678 
679    Input Parameters:
680 +  dnz - the array that will be passed to the matrix preallocation routines
681 -  ozn - the other array passed to the matrix preallocation routines
682 
683 
684    Level: intermediate
685 
686    Notes:
687    See the chapter in the users manual on performance for more details
688 
689    Do not malloc or free dnz and onz that is handled internally by these routines
690 
691   Concepts: preallocation^Matrix
692 
693 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
694           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
695 M*/
696 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);}
697 
698 
699 
700 /* Routines unique to particular data structures */
701 EXTERN int MatShellGetContext(Mat,void **);
702 
703 EXTERN int MatBDiagGetData(Mat,int*,int*,int*[],int*[],PetscScalar***);
704 EXTERN int MatSeqAIJSetColumnIndices(Mat,int[]);
705 EXTERN int MatSeqBAIJSetColumnIndices(Mat,int[]);
706 EXTERN int MatCreateSeqAIJWithArrays(MPI_Comm,int,int,int[],int[],PetscScalar[],Mat*);
707 
708 EXTERN int MatSeqBAIJSetPreallocation(Mat,int,int,const int[]);
709 EXTERN int MatSeqSBAIJSetPreallocation(Mat,int,int,const int[]);
710 EXTERN int MatSeqAIJSetPreallocation(Mat,int,const int[]);
711 EXTERN int MatSeqDensePreallocation(Mat,PetscScalar[]);
712 EXTERN int MatSeqBDiagSetPreallocation(Mat,int,int,const int[],PetscScalar*[]);
713 EXTERN int MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
714 
715 EXTERN int MatMPIBAIJSetPreallocation(Mat,int,int,const int[],int,const int[]);
716 EXTERN int MatMPISBAIJSetPreallocation(Mat,int,int,const int[],int,const int[]);
717 EXTERN int MatMPIAIJSetPreallocation(Mat,int,const int[],int,const int[]);
718 EXTERN int MatMPIDensePreallocation(Mat,PetscScalar[]);
719 EXTERN int MatMPIBDiagSetPreallocation(Mat,int,int,const int[],PetscScalar*[]);
720 EXTERN int MatMPIAdjSetPreallocation(Mat,int[],int[],int[]);
721 EXTERN int MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
722 EXTERN int MatMPIRowbsSetPreallocation(Mat,int,const int[]);
723 EXTERN int MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,int*[]);
724 EXTERN int MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,int*[]);
725 EXTERN int MatAdicSetLocalFunction(Mat,void (*)(void));
726 
727 EXTERN int MatSeqDenseSetLDA(Mat,int);
728 
729 EXTERN int MatStoreValues(Mat);
730 EXTERN int MatRetrieveValues(Mat);
731 
732 EXTERN int MatDAADSetCtx(Mat,void*);
733 
734 /*
735   These routines are not usually accessed directly, rather solving is
736   done through the KSP and PC interfaces.
737 */
738 
739 /*E
740     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
741        with an optional dynamic library name, for example
742        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
743 
744    Level: beginner
745 
746 .seealso: MatGetOrdering()
747 E*/
748 #define MatOrderingType char*
749 #define MATORDERING_NATURAL   "natural"
750 #define MATORDERING_ND        "nd"
751 #define MATORDERING_1WD       "1wd"
752 #define MATORDERING_RCM       "rcm"
753 #define MATORDERING_QMD       "qmd"
754 #define MATORDERING_ROWLENGTH "rowlength"
755 #define MATORDERING_DSC_ND    "dsc_nd"
756 #define MATORDERING_DSC_MMD   "dsc_mmd"
757 #define MATORDERING_DSC_MDF   "dsc_mdf"
758 #define MATORDERING_CONSTRAINED "constrained"
759 #define MATORDERING_IDENTITY  "identity"
760 #define MATORDERING_REVERSE   "reverse"
761 
762 EXTERN int MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
763 EXTERN int MatOrderingRegister(const char[],const char[],const char[],int(*)(Mat,const MatOrderingType,IS*,IS*));
764 
765 /*MC
766    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the
767                                matrix package.
768 
769    Synopsis:
770    int MatOrderingRegisterDynamic(char *name_ordering,char *path,char *name_create,int (*routine_create)(MatOrdering))
771 
772    Not Collective
773 
774    Input Parameters:
775 +  sname - name of ordering (for example MATORDERING_ND)
776 .  path - location of library where creation routine is
777 .  name - name of function that creates the ordering type,a string
778 -  function - function pointer that creates the ordering
779 
780    Level: developer
781 
782    If dynamic libraries are used, then the fourth input argument (function)
783    is ignored.
784 
785    Sample usage:
786 .vb
787    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
788                "MyOrder",MyOrder);
789 .ve
790 
791    Then, your partitioner can be chosen with the procedural interface via
792 $     MatOrderingSetType(part,"my_order)
793    or at runtime via the option
794 $     -pc_ilu_mat_ordering_type my_order
795 $     -pc_lu_mat_ordering_type my_order
796 
797    ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
798 
799 .keywords: matrix, ordering, register
800 
801 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
802 M*/
803 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
804 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
805 #else
806 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
807 #endif
808 
809 EXTERN int        MatOrderingRegisterDestroy(void);
810 EXTERN int        MatOrderingRegisterAll(const char[]);
811 extern PetscTruth MatOrderingRegisterAllCalled;
812 extern PetscFList MatOrderingList;
813 
814 EXTERN int MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
815 
816 /*S
817    MatFactorInfo - Data based into the matrix factorization routines
818 
819    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE
820 
821    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
822 
823    Level: developer
824 
825 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor()
826 
827 S*/
828 typedef struct {
829   PetscReal     damping;        /* scaling of identity added to matrix to prevent zero pivots */
830   PetscReal     shift;          /* if true, shift until positive pivots */
831   PetscReal     shift_fraction; /* record shift fraction taken */
832   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
833   PetscReal     dt;             /* drop tolerance */
834   PetscReal     dtcol;          /* tolerance for pivoting */
835   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
836   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
837   PetscReal     levels;         /* ICC/ILU(levels) */
838   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
839                                    factorization may be faster if do not pivot */
840   PetscReal     zeropivot;      /* pivot is called zero if less than this */
841 } MatFactorInfo;
842 
843 EXTERN int MatCholeskyFactor(Mat,IS,MatFactorInfo*);
844 EXTERN int MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
845 EXTERN int MatCholeskyFactorNumeric(Mat,Mat*);
846 EXTERN int MatLUFactor(Mat,IS,IS,MatFactorInfo*);
847 EXTERN int MatILUFactor(Mat,IS,IS,MatFactorInfo*);
848 EXTERN int MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
849 EXTERN int MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
850 EXTERN int MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
851 EXTERN int MatICCFactor(Mat,IS,MatFactorInfo*);
852 EXTERN int MatLUFactorNumeric(Mat,Mat*);
853 EXTERN int MatILUDTFactor(Mat,MatFactorInfo*,IS,IS,Mat *);
854 EXTERN int MatGetInertia(Mat,int*,int*,int*);
855 EXTERN int MatSolve(Mat,Vec,Vec);
856 EXTERN int MatForwardSolve(Mat,Vec,Vec);
857 EXTERN int MatBackwardSolve(Mat,Vec,Vec);
858 EXTERN int MatSolveAdd(Mat,Vec,Vec,Vec);
859 EXTERN int MatSolveTranspose(Mat,Vec,Vec);
860 EXTERN int MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
861 EXTERN int MatSolves(Mat,Vecs,Vecs);
862 
863 EXTERN int MatSetUnfactored(Mat);
864 
865 /*E
866     MatSORType - What type of (S)SOR to perform
867 
868     Level: beginner
869 
870    May be bitwise ORd together
871 
872    Any additions/changes here MUST also be made in include/finclude/petscmat.h
873 
874    MatSORType may be bitwise ORd together, so do not change the numbers
875 
876 .seealso: MatRelax(), MatPBRelax()
877 E*/
878 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
879               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
880               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
881               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
882 EXTERN int MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,int,int,Vec);
883 EXTERN int MatPBRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,int,int,Vec);
884 
885 /*
886     These routines are for efficiently computing Jacobians via finite differences.
887 */
888 
889 /*E
890     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
891        with an optional dynamic library name, for example
892        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
893 
894    Level: beginner
895 
896 .seealso: MatGetColoring()
897 E*/
898 #define MatColoringType char*
899 #define MATCOLORING_NATURAL "natural"
900 #define MATCOLORING_SL      "sl"
901 #define MATCOLORING_LF      "lf"
902 #define MATCOLORING_ID      "id"
903 
904 EXTERN int MatGetColoring(Mat,const MatColoringType,ISColoring*);
905 EXTERN int MatColoringRegister(const char[],const char[],const char[],int(*)(Mat,const MatColoringType,ISColoring *));
906 
907 /*MC
908    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
909                                matrix package.
910 
911    Synopsis:
912    int MatColoringRegisterDynamic(char *name_coloring,char *path,char *name_create,int (*routine_create)(MatColoring))
913 
914    Not Collective
915 
916    Input Parameters:
917 +  sname - name of Coloring (for example MATCOLORING_SL)
918 .  path - location of library where creation routine is
919 .  name - name of function that creates the Coloring type, a string
920 -  function - function pointer that creates the coloring
921 
922    Level: developer
923 
924    If dynamic libraries are used, then the fourth input argument (function)
925    is ignored.
926 
927    Sample usage:
928 .vb
929    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
930                "MyColor",MyColor);
931 .ve
932 
933    Then, your partitioner can be chosen with the procedural interface via
934 $     MatColoringSetType(part,"my_color")
935    or at runtime via the option
936 $     -mat_coloring_type my_color
937 
938    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
939 
940 .keywords: matrix, Coloring, register
941 
942 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
943 M*/
944 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
945 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
946 #else
947 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
948 #endif
949 
950 EXTERN int        MatColoringRegisterAll(const char[]);
951 extern PetscTruth MatColoringRegisterAllCalled;
952 EXTERN int        MatColoringRegisterDestroy(void);
953 EXTERN int        MatColoringPatch(Mat,int,int,const ISColoringValue[],ISColoring*);
954 
955 /*S
956      MatFDColoring - Object for computing a sparse Jacobian via finite differences
957         and coloring
958 
959    Level: beginner
960 
961   Concepts: coloring, sparse Jacobian, finite differences
962 
963 .seealso:  MatFDColoringCreate()
964 S*/
965 typedef struct _p_MatFDColoring *MatFDColoring;
966 
967 EXTERN int MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
968 EXTERN int MatFDColoringDestroy(MatFDColoring);
969 EXTERN int MatFDColoringView(MatFDColoring,PetscViewer);
970 EXTERN int MatFDColoringSetFunction(MatFDColoring,int (*)(void),void*);
971 EXTERN int MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
972 EXTERN int MatFDColoringSetFrequency(MatFDColoring,int);
973 EXTERN int MatFDColoringGetFrequency(MatFDColoring,int*);
974 EXTERN int MatFDColoringSetFromOptions(MatFDColoring);
975 EXTERN int MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
976 EXTERN int MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
977 EXTERN int MatFDColoringSetRecompute(MatFDColoring);
978 EXTERN int MatFDColoringSetF(MatFDColoring,Vec);
979 EXTERN int MatFDColoringGetPerturbedColumns(MatFDColoring,int*,int*[]);
980 /*
981     These routines are for partitioning matrices: currently used only
982   for adjacency matrix, MatCreateMPIAdj().
983 */
984 
985 /*S
986      MatPartitioning - Object for managing the partitioning of a matrix or graph
987 
988    Level: beginner
989 
990   Concepts: partitioning
991 
992 .seealso:  MatPartitioningCreate(), MatPartitioningType
993 S*/
994 typedef struct _p_MatPartitioning *MatPartitioning;
995 
996 /*E
997     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
998        with an optional dynamic library name, for example
999        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1000 
1001    Level: beginner
1002 
1003 .seealso: MatPartitioningCreate(), MatPartitioning
1004 E*/
1005 #define MatPartitioningType char*
1006 #define MAT_PARTITIONING_CURRENT  "current"
1007 #define MAT_PARTITIONING_PARMETIS "parmetis"
1008 
1009 EXTERN int MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1010 EXTERN int MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1011 EXTERN int MatPartitioningSetNParts(MatPartitioning,int);
1012 EXTERN int MatPartitioningSetAdjacency(MatPartitioning,Mat);
1013 EXTERN int MatPartitioningSetVertexWeights(MatPartitioning,const int[]);
1014 EXTERN int MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1015 EXTERN int MatPartitioningApply(MatPartitioning,IS*);
1016 EXTERN int MatPartitioningDestroy(MatPartitioning);
1017 
1018 EXTERN int MatPartitioningRegister(const char[],const char[],const char[],int(*)(MatPartitioning));
1019 
1020 /*MC
1021    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1022    matrix package.
1023 
1024    Synopsis:
1025    int MatPartitioningRegisterDynamic(char *name_partitioning,char *path,char *name_create,int (*routine_create)(MatPartitioning))
1026 
1027    Not Collective
1028 
1029    Input Parameters:
1030 +  sname - name of partitioning (for example MAT_PARTITIONING_CURRENT) or parmetis
1031 .  path - location of library where creation routine is
1032 .  name - name of function that creates the partitioning type, a string
1033 -  function - function pointer that creates the partitioning type
1034 
1035    Level: developer
1036 
1037    If dynamic libraries are used, then the fourth input argument (function)
1038    is ignored.
1039 
1040    Sample usage:
1041 .vb
1042    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1043                "MyPartCreate",MyPartCreate);
1044 .ve
1045 
1046    Then, your partitioner can be chosen with the procedural interface via
1047 $     MatPartitioningSetType(part,"my_part")
1048    or at runtime via the option
1049 $     -mat_partitioning_type my_part
1050 
1051    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
1052 
1053 .keywords: matrix, partitioning, register
1054 
1055 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1056 M*/
1057 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1058 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1059 #else
1060 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1061 #endif
1062 
1063 EXTERN int        MatPartitioningRegisterAll(const char[]);
1064 extern PetscTruth MatPartitioningRegisterAllCalled;
1065 EXTERN int        MatPartitioningRegisterDestroy(void);
1066 
1067 EXTERN int MatPartitioningView(MatPartitioning,PetscViewer);
1068 EXTERN int MatPartitioningSetFromOptions(MatPartitioning);
1069 EXTERN int MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1070 
1071 EXTERN int MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1072 
1073 /*
1074     If you add entries here you must also add them to finclude/petscmat.h
1075 */
1076 typedef enum { MATOP_SET_VALUES=0,
1077                MATOP_GET_ROW=1,
1078                MATOP_RESTORE_ROW=2,
1079                MATOP_MULT=3,
1080                MATOP_MULT_ADD=4,
1081                MATOP_MULT_TRANSPOSE=5,
1082                MATOP_MULT_TRANSPOSE_ADD=6,
1083                MATOP_SOLVE=7,
1084                MATOP_SOLVE_ADD=8,
1085                MATOP_SOLVE_TRANSPOSE=9,
1086                MATOP_SOLVE_TRANSPOSE_ADD=10,
1087                MATOP_LUFACTOR=11,
1088                MATOP_CHOLESKYFACTOR=12,
1089                MATOP_RELAX=13,
1090                MATOP_TRANSPOSE=14,
1091                MATOP_GETINFO=15,
1092                MATOP_EQUAL=16,
1093                MATOP_GET_DIAGONAL=17,
1094                MATOP_DIAGONAL_SCALE=18,
1095                MATOP_NORM=19,
1096                MATOP_ASSEMBLY_BEGIN=20,
1097                MATOP_ASSEMBLY_END=21,
1098                MATOP_COMPRESS=22,
1099                MATOP_SET_OPTION=23,
1100                MATOP_ZERO_ENTRIES=24,
1101                MATOP_ZERO_ROWS=25,
1102                MATOP_LUFACTOR_SYMBOLIC=26,
1103                MATOP_LUFACTOR_NUMERIC=27,
1104                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
1105                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
1106                MATOP_SETUP_PREALLOCATION=30,
1107                MATOP_ILUFACTOR_SYMBOLIC=31,
1108                MATOP_ICCFACTOR_SYMBOLIC=32,
1109                MATOP_GET_ARRAY=33,
1110                MATOP_RESTORE_ARRAY=34,
1111                MATOP_DUPLCIATE=35,
1112                MATOP_FORWARD_SOLVE=36,
1113                MATOP_BACKWARD_SOLVE=37,
1114                MATOP_ILUFACTOR=38,
1115                MATOP_ICCFACTOR=39,
1116                MATOP_AXPY=40,
1117                MATOP_GET_SUBMATRICES=41,
1118                MATOP_INCREASE_OVERLAP=42,
1119                MATOP_GET_VALUES=43,
1120                MATOP_COPY=44,
1121                MATOP_PRINT_HELP=45,
1122                MATOP_SCALE=46,
1123                MATOP_SHIFT=47,
1124                MATOP_DIAGONAL_SHIFT=48,
1125                MATOP_ILUDT_FACTOR=49,
1126                MATOP_GET_BLOCK_SIZE=50,
1127                MATOP_GET_ROW_IJ=51,
1128                MATOP_RESTORE_ROW_IJ=52,
1129                MATOP_GET_COLUMN_IJ=53,
1130                MATOP_RESTORE_COLUMN_IJ=54,
1131                MATOP_FDCOLORING_CREATE=55,
1132                MATOP_COLORING_PATCH=56,
1133                MATOP_SET_UNFACTORED=57,
1134                MATOP_PERMUTE=58,
1135                MATOP_SET_VALUES_BLOCKED=59,
1136                MATOP_GET_SUBMATRIX=60,
1137                MATOP_DESTROY=61,
1138                MATOP_VIEW=62,
1139                MATOP_GET_MAPS=63,
1140                MATOP_USE_SCALED_FORM=64,
1141                MATOP_SCALE_SYSTEM=65,
1142                MATOP_UNSCALE_SYSTEM=66,
1143                MATOP_SET_LOCAL_TO_GLOBAL_MAPPING=67,
1144                MATOP_SET_VALUES_LOCAL=68,
1145                MATOP_ZERO_ROWS_LOCAL=69,
1146                MATOP_GET_ROW_MAX=70,
1147                MATOP_CONVERT=71,
1148                MATOP_SET_COLORING=72,
1149                MATOP_SET_VALUES_ADIC=73,
1150                MATOP_SET_VALUES_ADIFOR=74,
1151                MATOP_FD_COLORING_APPLY=75,
1152                MATOP_SET_FROM_OPTIONS=76,
1153                MATOP_MULT_CONSTRAINED=77,
1154                MATOP_MULT_TRANSPOSE_CONSTRAINED=78,
1155                MATOP_ILU_FACTOR_SYMBOLIC_CONSTRAINED=79,
1156                MATOP_PERMUTE_SPARSIFY=80,
1157                MATOP_MULT_MULTIPLE=81,
1158                MATOP_SOLVE_MULTIPLE=82
1159              } MatOperation;
1160 EXTERN int MatHasOperation(Mat,MatOperation,PetscTruth*);
1161 EXTERN int MatShellSetOperation(Mat,MatOperation,void(*)(void));
1162 EXTERN int MatShellGetOperation(Mat,MatOperation,void(**)(void));
1163 EXTERN int MatShellSetContext(Mat,void*);
1164 
1165 /*
1166    Codes for matrices stored on disk. By default they are
1167  stored in a universal format. By changing the format with
1168  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
1169  be stored in a way natural for the matrix, for example dense matrices
1170  would be stored as dense. Matrices stored this way may only be
1171  read into matrices of the same time.
1172 */
1173 #define MATRIX_BINARY_FORMAT_DENSE -1
1174 
1175 EXTERN int MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1176 EXTERN int MatSeqAIJGetInodeSizes(Mat,int *,int *[],int *);
1177 EXTERN int MatMPIRowbsGetColor(Mat,ISColoring *);
1178 
1179 /*S
1180      MatNullSpace - Object that removes a null space from a vector, i.e.
1181          orthogonalizes the vector to a subsapce
1182 
1183    Level: advanced
1184 
1185   Concepts: matrix; linear operator, null space
1186 
1187   Users manual sections:
1188 .   sec_singular
1189 
1190 .seealso:  MatNullSpaceCreate()
1191 S*/
1192 typedef struct _p_MatNullSpace* MatNullSpace;
1193 
1194 EXTERN int MatNullSpaceCreate(MPI_Comm,int,int,const Vec[],MatNullSpace*);
1195 EXTERN int MatNullSpaceDestroy(MatNullSpace);
1196 EXTERN int MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1197 EXTERN int MatNullSpaceAttach(Mat,MatNullSpace);
1198 EXTERN int MatNullSpaceTest(MatNullSpace,Mat);
1199 
1200 EXTERN int MatReorderingSeqSBAIJ(Mat A,IS isp);
1201 EXTERN int MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1202 EXTERN int MatSeqSBAIJSetColumnIndices(Mat,int *);
1203 
1204 EXTERN int MatMatMult(Mat A,Mat B, Mat *C);
1205 EXTERN int MatMatMultSymbolic(Mat A,Mat B,Mat *C);
1206 EXTERN int MatMatMultNumeric(Mat A,Mat B,Mat C);
1207 
1208 EXTERN int MatCreateMAIJ(Mat,int,Mat*);
1209 EXTERN int MatMAIJRedimension(Mat,int,Mat*);
1210 EXTERN int MatMAIJGetAIJ(Mat,Mat*);
1211 
1212 EXTERN int MatComputeExplicitOperator(Mat,Mat*);
1213 
1214 EXTERN int MatESISetType(Mat,const char*);
1215 EXTERN int MatESISetFromOptions(Mat);
1216 
1217 EXTERN int MatDiagonalScaleLocal(Mat,Vec);
1218 
1219 EXTERN int PetscViewerMathematicaPutMatrix(PetscViewer, int, int, PetscReal *);
1220 EXTERN int PetscViewerMathematicaPutCSRMatrix(PetscViewer, int, int, int *, int *, PetscReal *);
1221 
1222 EXTERN int MatUseSpooles_SeqAIJ(Mat);
1223 EXTERN int MatUseUMFPACK_SeqAIJ(Mat);
1224 EXTERN int MatUseSuperLU_SeqAIJ(Mat);
1225 EXTERN int MatUseEssl_SeqAIJ(Mat);
1226 EXTERN int MatUseLUSOL_SeqAIJ(Mat);
1227 EXTERN int MatUseMatlab_SeqAIJ(Mat);
1228 EXTERN int MatUseDXML_SeqAIJ(Mat);
1229 EXTERN int MatUsePETSc_SeqAIJ(Mat);
1230 EXTERN int MatUseSuperLU_DIST_MPIAIJ(Mat);
1231 EXTERN int MatUseSpooles_MPIAIJ(Mat);
1232 EXTERN int MatUseSpooles_SeqSBAIJ(Mat);
1233 EXTERN int MatUseSpooles_MPISBAIJ(Mat);
1234 EXTERN int MatUseMUMPS_MPIAIJ(Mat);
1235 
1236 PETSC_EXTERN_CXX_END
1237 #endif
1238