xref: /petsc/include/petscmat.h (revision 7209df22ae8b8e50c03c3fa00139d9e7c7c7f8cb)
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 typedef char* MatType;
71 
72 #define MAT_SER_SEQAIJ_BINARY "seqaij_binary"
73 #define MAT_SER_MPIAIJ_BINARY "mpiaij_binary"
74 typedef char *MatSerializeType;
75 
76 /* Logging support */
77 #define    MAT_FILE_COOKIE 1211216    /* used to indicate matrices in binary files */
78 extern int MAT_COOKIE;
79 extern int MATSNESMFCTX_COOKIE;
80 extern int MAT_FDCOLORING_COOKIE;
81 extern int MAT_PARTITIONING_COOKIE;
82 extern int MAT_NULLSPACE_COOKIE;
83 extern int MAT_Mult, MAT_MultMatrixFree, MAT_Mults, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
84 extern int MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_Solves, MAT_SolveAdd, MAT_SolveTranspose;
85 extern int MAT_SolveTransposeAdd, MAT_Relax, MAT_ForwardSolve, MAT_BackwardSolve, MAT_LUFactor, MAT_LUFactorSymbolic;
86 extern int MAT_LUFactorNumeric, MAT_CholeskyFactor, MAT_CholeskyFactorSymbolic, MAT_CholeskyFactorNumeric, MAT_ILUFactor;
87 extern int MAT_ILUFactorSymbolic, MAT_ICCFactorSymbolic, MAT_Copy, MAT_Convert, MAT_Scale, MAT_AssemblyBegin;
88 extern int MAT_AssemblyEnd, MAT_SetValues, MAT_GetValues, MAT_GetRow, MAT_GetSubMatrices, MAT_GetColoring, MAT_GetOrdering;
89 extern int MAT_IncreaseOverlap, MAT_Partitioning, MAT_ZeroEntries, MAT_Load, MAT_View, MAT_AXPY, MAT_FDColoringCreate;
90 extern int MAT_FDColoringApply, MAT_Transpose, MAT_FDColoringFunction;
91 
92 EXTERN int MatInitializePackage(char *);
93 
94 EXTERN int MatCreate(MPI_Comm,int,int,int,int,Mat*);
95 EXTERN int MatSetType(Mat,MatType);
96 EXTERN int MatSetFromOptions(Mat);
97 EXTERN int MatSetUpPreallocation(Mat);
98 EXTERN int MatRegisterAll(char*);
99 EXTERN int MatRegister(char*,char*,char*,int(*)(Mat));
100 EXTERN int MatSerializeRegister(const char [], const char [], const char [], int (*)(MPI_Comm, Mat *, PetscViewer, PetscTruth));
101 
102 /*MC
103    MatRegisterDynamic - Adds a new matrix type
104 
105    Synopsis:
106    int MatRegisterDynamic(char *name,char *path,char *name_create,int (*routine_create)(Mat))
107 
108    Not Collective
109 
110    Input Parameters:
111 +  name - name of a new user-defined matrix type
112 .  path - path (either absolute or relative) the library containing this solver
113 .  name_create - name of routine to create method context
114 -  routine_create - routine to create method context
115 
116    Notes:
117    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
118 
119    If dynamic libraries are used, then the fourth input argument (routine_create)
120    is ignored.
121 
122    Sample usage:
123 .vb
124    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
125                "MyMatCreate",MyMatCreate);
126 .ve
127 
128    Then, your solver can be chosen with the procedural interface via
129 $     MatSetType(Mat,"my_mat")
130    or at runtime via the option
131 $     -mat_type my_mat
132 
133    Level: advanced
134 
135    Notes: ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
136          If your function is not being put into a shared library then use VecRegister() instead
137 
138 .keywords: Mat, register
139 
140 .seealso: MatRegisterAll(), MatRegisterDestroy()
141 
142 M*/
143 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
144 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
145 #else
146 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
147 #endif
148 
149 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
150 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,0)
151 #else
152 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,d)
153 #endif
154 
155 extern PetscTruth MatRegisterAllCalled;
156 extern PetscFList MatList;
157 
158 EXTERN PetscFList MatSerializeList;
159 EXTERN int MatSerializeRegisterAll(const char []);
160 EXTERN int MatSerializeRegisterDestroy(void);
161 EXTERN int MatSerializeRegisterAllCalled;
162 EXTERN int MatSerialize(MPI_Comm, Mat *, PetscViewer, PetscTruth);
163 EXTERN int MatSetSerializeType(Mat, MatSerializeType);
164 
165 EXTERN int MatCreateSeqDense(MPI_Comm,int,int,PetscScalar[],Mat*);
166 EXTERN int MatCreateMPIDense(MPI_Comm,int,int,int,int,PetscScalar[],Mat*);
167 EXTERN int MatCreateSeqAIJ(MPI_Comm,int,int,int,const int[],Mat*);
168 EXTERN int MatCreateMPIAIJ(MPI_Comm,int,int,int,int,int,const int[],int,const int[],Mat*);
169 EXTERN int MatCreateMPIRowbs(MPI_Comm,int,int,int,const int[],Mat*);
170 EXTERN int MatCreateSeqBDiag(MPI_Comm,int,int,int,int,const int[],PetscScalar*[],Mat*);
171 EXTERN int MatCreateMPIBDiag(MPI_Comm,int,int,int,int,int,const int[],PetscScalar*[],Mat*);
172 EXTERN int MatCreateSeqBAIJ(MPI_Comm,int,int,int,int,const int[],Mat*);
173 EXTERN int MatCreateMPIBAIJ(MPI_Comm,int,int,int,int,int,int,const int[],int,const int[],Mat*);
174 EXTERN int MatCreateMPIAdj(MPI_Comm,int,int,int[],int[],int[],Mat*);
175 EXTERN int MatCreateSeqSBAIJ(MPI_Comm,int,int,int,int,const int[],Mat*);
176 EXTERN int MatCreateMPISBAIJ(MPI_Comm,int,int,int,int,int,int,const int[],int,const int[],Mat*);
177 EXTERN int MatCreateShell(MPI_Comm,int,int,int,int,void *,Mat*);
178 EXTERN int MatCreateAdic(MPI_Comm,int,int,int,int,int,void (*)(void),Mat*);
179 EXTERN int MatCreateNormal(Mat,Mat*);
180 EXTERN int MatDestroy(Mat);
181 
182 EXTERN int MatPrintHelp(Mat);
183 EXTERN int MatGetPetscMaps(Mat,PetscMap*,PetscMap*);
184 
185 /* ------------------------------------------------------------*/
186 EXTERN int MatSetValues(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
187 EXTERN int MatSetValuesBlocked(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
188 
189 /*S
190      MatStencil - Data structure (C struct) for storing information about a single row or
191         column of a matrix as index on an associated grid.
192 
193    Level: beginner
194 
195   Concepts: matrix; linear operator
196 
197 .seealso:  MatSetValuesStencil(), MatSetStencil()
198 S*/
199 typedef struct {
200   int k,j,i,c;
201 } MatStencil;
202 
203 EXTERN int MatSetValuesStencil(Mat,int,const MatStencil[],int,const MatStencil[],const PetscScalar[],InsertMode);
204 EXTERN int MatSetValuesBlockedStencil(Mat,int,const MatStencil[],int,const MatStencil[],const PetscScalar[],InsertMode);
205 EXTERN int MatSetStencil(Mat,int,const int[],const int[],int);
206 
207 EXTERN int MatSetColoring(Mat,ISColoring);
208 EXTERN int MatSetValuesAdic(Mat,void*);
209 EXTERN int MatSetValuesAdifor(Mat,int,void*);
210 
211 /*E
212     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
213      to continue to add values to it
214 
215     Level: beginner
216 
217 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
218 E*/
219 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
220 EXTERN int MatAssemblyBegin(Mat,MatAssemblyType);
221 EXTERN int MatAssemblyEnd(Mat,MatAssemblyType);
222 EXTERN int MatAssembled(Mat,PetscTruth*);
223 
224 /*MC
225    MatSetValue - Set a single entry into a matrix.
226 
227    Synopsis:
228    int MatSetValue(Mat m,int row,int col,PetscScalar value,InsertMode mode);
229 
230    Not collective
231 
232    Input Parameters:
233 +  m - the matrix
234 .  row - the row location of the entry
235 .  col - the column location of the entry
236 .  value - the value to insert
237 -  mode - either INSERT_VALUES or ADD_VALUES
238 
239    Notes:
240    For efficiency one should use MatSetValues() and set several or many
241    values simultaneously if possible.
242 
243    Note that MatSetValue() does NOT return an error code (since this
244    is checked internally).
245 
246    Level: beginner
247 
248 .seealso: MatSetValues(), MatSetValueLocal()
249 M*/
250 #define MatSetValue(v,i,j,va,mode) \
251 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
252   _ierr = MatSetValues(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
253 }
254 
255 #define MatGetValue(v,i,j,va) \
256 0; {int _ierr,_row = i,_col = j; \
257   _ierr = MatGetValues(v,1,&_row,1,&_col,&va);CHKERRQ(_ierr); \
258 }
259 
260 #define MatSetValueLocal(v,i,j,va,mode) \
261 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
262   _ierr = MatSetValuesLocal(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
263 }
264 
265 /*E
266     MatOption - Options that may be set for a matrix and its behavior or storage
267 
268     Level: beginner
269 
270    Any additions/changes here MUST also be made in include/finclude/petscmat.h
271 
272 .seealso: MatSetOption()
273 E*/
274 typedef enum {MAT_ROW_ORIENTED=1,MAT_COLUMN_ORIENTED=2,MAT_ROWS_SORTED=4,
275               MAT_COLUMNS_SORTED=8,MAT_NO_NEW_NONZERO_LOCATIONS=16,
276               MAT_YES_NEW_NONZERO_LOCATIONS=32,MAT_SYMMETRIC=64,
277               MAT_STRUCTURALLY_SYMMETRIC=65,MAT_NO_NEW_DIAGONALS=66,
278               MAT_YES_NEW_DIAGONALS=67,MAT_INODE_LIMIT_1=68,MAT_INODE_LIMIT_2=69,
279               MAT_INODE_LIMIT_3=70,MAT_INODE_LIMIT_4=71,MAT_INODE_LIMIT_5=72,
280               MAT_IGNORE_OFF_PROC_ENTRIES=73,MAT_ROWS_UNSORTED=74,
281               MAT_COLUMNS_UNSORTED=75,MAT_NEW_NONZERO_LOCATION_ERR=76,
282               MAT_NEW_NONZERO_ALLOCATION_ERR=77,MAT_USE_HASH_TABLE=78,
283               MAT_KEEP_ZEROED_ROWS=79,MAT_IGNORE_ZERO_ENTRIES=80,MAT_USE_INODES=81,
284               MAT_DO_NOT_USE_INODES=82} MatOption;
285 EXTERN int MatSetOption(Mat,MatOption);
286 EXTERN int MatGetType(Mat,MatType*);
287 
288 EXTERN int MatGetValues(Mat,int,const int[],int,const int[],PetscScalar[]);
289 EXTERN int MatGetRow(Mat,int,int *,int *[],PetscScalar*[]);
290 EXTERN int MatRestoreRow(Mat,int,int *,int *[],PetscScalar*[]);
291 EXTERN int MatGetColumn(Mat,int,int *,int *[],PetscScalar*[]);
292 EXTERN int MatRestoreColumn(Mat,int,int *,int *[],PetscScalar*[]);
293 EXTERN int MatGetColumnVector(Mat,Vec,int);
294 EXTERN int MatGetArray(Mat,PetscScalar *[]);
295 EXTERN int MatRestoreArray(Mat,PetscScalar *[]);
296 EXTERN int MatGetBlockSize(Mat,int *);
297 
298 EXTERN int MatMult(Mat,Vec,Vec);
299 EXTERN int MatMultAdd(Mat,Vec,Vec,Vec);
300 EXTERN int MatMultTranspose(Mat,Vec,Vec);
301 EXTERN int MatIsSymmetric(Mat,Mat,PetscTruth*);
302 EXTERN int MatMultTransposeAdd(Mat,Vec,Vec,Vec);
303 EXTERN int MatMultConstrained(Mat,Vec,Vec);
304 EXTERN int MatMultTransposeConstrained(Mat,Vec,Vec);
305 
306 /*E
307     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
308   its numerical values copied over or just its nonzero structure.
309 
310     Level: beginner
311 
312    Any additions/changes here MUST also be made in include/finclude/petscmat.h
313 
314 .seealso: MatDuplicate()
315 E*/
316 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption;
317 
318 EXTERN int MatConvertRegister(char*,char*,char*,int (*)(Mat,MatType,Mat*));
319 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
320 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0)
321 #else
322 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d)
323 #endif
324 EXTERN int        MatConvertRegisterAll(char*);
325 EXTERN int        MatConvertRegisterDestroy(void);
326 extern PetscTruth MatConvertRegisterAllCalled;
327 extern PetscFList MatConvertList;
328 EXTERN int        MatConvert(Mat,MatType,Mat*);
329 EXTERN int        MatDuplicate(Mat,MatDuplicateOption,Mat*);
330 
331 /*E
332     MatStructure - Indicates if the matrix has the same nonzero structure
333 
334     Level: beginner
335 
336    Any additions/changes here MUST also be made in include/finclude/petscmat.h
337 
338 .seealso: MatCopy(), SLESSetOperators(), PCSetOperators()
339 E*/
340 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
341 
342 EXTERN int MatCopy(Mat,Mat,MatStructure);
343 EXTERN int MatView(Mat,PetscViewer);
344 
345 EXTERN int MatLoad(PetscViewer,MatType,Mat*);
346 EXTERN int MatMerge(MPI_Comm,Mat,Mat*);
347 
348 EXTERN int MatGetRowIJ(Mat,int,PetscTruth,int*,int *[],int *[],PetscTruth *);
349 EXTERN int MatRestoreRowIJ(Mat,int,PetscTruth,int *,int *[],int *[],PetscTruth *);
350 EXTERN int MatGetColumnIJ(Mat,int,PetscTruth,int*,int *[],int *[],PetscTruth *);
351 EXTERN int MatRestoreColumnIJ(Mat,int,PetscTruth,int *,int *[],int *[],PetscTruth *);
352 
353 /*S
354      MatInfo - Context of matrix information, used with MatGetInfo()
355 
356    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
357 
358    Level: intermediate
359 
360   Concepts: matrix^nonzero information
361 
362 .seealso:  MatGetInfo(), MatInfoType
363 S*/
364 typedef struct {
365   PetscLogDouble rows_global,columns_global;         /* number of global rows and columns */
366   PetscLogDouble rows_local,columns_local;           /* number of local rows and columns */
367   PetscLogDouble block_size;                         /* block size */
368   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
369   PetscLogDouble memory;                             /* memory allocated */
370   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
371   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
372   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
373   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
374 } MatInfo;
375 
376 /*E
377     MatInfoType - Indicates if you want information about the local part of the matrix,
378      the entire parallel matrix or the maximum over all the local parts.
379 
380     Level: beginner
381 
382    Any additions/changes here MUST also be made in include/finclude/petscmat.h
383 
384 .seealso: MatGetInfo(), MatInfo
385 E*/
386 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
387 EXTERN int MatGetInfo(Mat,MatInfoType,MatInfo*);
388 EXTERN int MatValid(Mat,PetscTruth*);
389 EXTERN int MatGetDiagonal(Mat,Vec);
390 EXTERN int MatGetRowMax(Mat,Vec);
391 EXTERN int MatTranspose(Mat,Mat*);
392 EXTERN int MatPermute(Mat,IS,IS,Mat *);
393 EXTERN int MatPermuteSparsify(Mat,int,PetscReal,PetscReal,IS,IS,Mat *);
394 EXTERN int MatDiagonalScale(Mat,Vec,Vec);
395 EXTERN int MatDiagonalSet(Mat,Vec,InsertMode);
396 EXTERN int MatEqual(Mat,Mat,PetscTruth*);
397 
398 EXTERN int MatNorm(Mat,NormType,PetscReal *);
399 EXTERN int MatZeroEntries(Mat);
400 EXTERN int MatZeroRows(Mat,IS,const PetscScalar*);
401 EXTERN int MatZeroColumns(Mat,IS,const PetscScalar*);
402 
403 EXTERN int MatUseScaledForm(Mat,PetscTruth);
404 EXTERN int MatScaleSystem(Mat,Vec,Vec);
405 EXTERN int MatUnScaleSystem(Mat,Vec,Vec);
406 
407 EXTERN int MatGetSize(Mat,int*,int*);
408 EXTERN int MatGetLocalSize(Mat,int*,int*);
409 EXTERN int MatGetOwnershipRange(Mat,int*,int*);
410 
411 /*E
412     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
413      or MatGetSubMatrix() are to be reused to store the new matrix values.
414 
415     Level: beginner
416 
417    Any additions/changes here MUST also be made in include/finclude/petscmat.h
418 
419 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices()
420 E*/
421 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse;
422 EXTERN int MatGetSubMatrices(Mat,int,const IS[],const IS[],MatReuse,Mat *[]);
423 EXTERN int MatDestroyMatrices(int,Mat *[]);
424 EXTERN int MatGetSubMatrix(Mat,IS,IS,int,MatReuse,Mat *);
425 
426 EXTERN int MatIncreaseOverlap(Mat,int,IS[],int);
427 
428 EXTERN int MatAXPY(const PetscScalar *,Mat,Mat,MatStructure);
429 EXTERN int MatAYPX(const PetscScalar *,Mat,Mat);
430 EXTERN int MatCompress(Mat);
431 
432 EXTERN int MatScale(const PetscScalar *,Mat);
433 EXTERN int MatShift(const PetscScalar *,Mat);
434 
435 EXTERN int MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
436 EXTERN int MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
437 EXTERN int MatZeroRowsLocal(Mat,IS,const PetscScalar*);
438 EXTERN int MatSetValuesLocal(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
439 EXTERN int MatSetValuesBlockedLocal(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
440 
441 EXTERN int MatSetStashInitialSize(Mat,int,int);
442 
443 EXTERN int MatInterpolateAdd(Mat,Vec,Vec,Vec);
444 EXTERN int MatInterpolate(Mat,Vec,Vec);
445 EXTERN int MatRestrict(Mat,Vec,Vec);
446 
447 
448 /*MC
449    MatPreallocInitialize - Begins the block of code that will count the number of nonzeros per
450        row in a matrix providing the data that one can use to correctly preallocate the matrix.
451 
452    Synopsis:
453    int MatPreallocateInitialize(MPI_Comm comm, int nrows, int ncols, int *dnz, int *onz)
454 
455    Collective on MPI_Comm
456 
457    Input Parameters:
458 +  comm - the communicator that will share the eventually allocated matrix
459 .  nrows - the number of rows in the matrix
460 -  ncols - the number of columns in the matrix
461 
462    Output Parameters:
463 +  dnz - the array that will be passed to the matrix preallocation routines
464 -  ozn - the other array passed to the matrix preallocation routines
465 
466 
467    Level: intermediate
468 
469    Notes:
470    See the chapter in the users manual on performance for more details
471 
472    Do not malloc or free dnz and onz that is handled internally by these routines
473 
474    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
475 
476   Concepts: preallocation^Matrix
477 
478 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
479           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
480 M*/
481 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
482 { \
483   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
484   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
485   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
486   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
487   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
488 
489 /*MC
490    MatPreallocSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
491        row in a matrix providing the data that one can use to correctly preallocate the matrix.
492 
493    Synopsis:
494    int MatPreallocateSymmetricInitialize(MPI_Comm comm, int nrows, int ncols, int *dnz, int *onz)
495 
496    Collective on MPI_Comm
497 
498    Input Parameters:
499 +  comm - the communicator that will share the eventually allocated matrix
500 .  nrows - the number of rows in the matrix
501 -  ncols - the number of columns in the matrix
502 
503    Output Parameters:
504 +  dnz - the array that will be passed to the matrix preallocation routines
505 -  ozn - the other array passed to the matrix preallocation routines
506 
507 
508    Level: intermediate
509 
510    Notes:
511    See the chapter in the users manual on performance for more details
512 
513    Do not malloc or free dnz and onz that is handled internally by these routines
514 
515   Concepts: preallocation^Matrix
516 
517 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
518           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
519 M*/
520 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
521 { \
522   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__end; \
523   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
524   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
525   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
526   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
527 
528 /*MC
529    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
530        inserted using a local number of the rows and columns
531 
532    Synopsis:
533    int MatPreallocateSetLocal(ISLocalToGlobalMappping map,int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
534 
535    Not Collective
536 
537    Input Parameters:
538 +  map - the mapping between local numbering and global numbering
539 .  nrows - the number of rows indicated
540 .  rows - the indices of the rows (these will be mapped in the
541 .  ncols - the number of columns in the matrix
542 .  cols - the columns indicated
543 .  dnz - the array that will be passed to the matrix preallocation routines
544 -  ozn - the other array passed to the matrix preallocation routines
545 
546 
547    Level: intermediate
548 
549    Notes:
550    See the chapter in the users manual on performance for more details
551 
552    Do not malloc or free dnz and onz that is handled internally by these routines
553 
554   Concepts: preallocation^Matrix
555 
556 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
557           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
558 M*/
559 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
560 {\
561   int __l;\
562   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
563   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
564   for (__l=0;__l<nrows;__l++) {\
565     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
566   }\
567 }
568 
569 /*MC
570    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
571        inserted using a local number of the rows and columns
572 
573    Synopsis:
574    int MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
575 
576    Not Collective
577 
578    Input Parameters:
579 +  map - the mapping between local numbering and global numbering
580 .  nrows - the number of rows indicated
581 .  rows - the indices of the rows (these will be mapped in the
582 .  ncols - the number of columns in the matrix
583 .  cols - the columns indicated
584 .  dnz - the array that will be passed to the matrix preallocation routines
585 -  ozn - the other array passed to the matrix preallocation routines
586 
587 
588    Level: intermediate
589 
590    Notes:
591    See the chapter in the users manual on performance for more details
592 
593    Do not malloc or free dnz and onz that is handled internally by these routines
594 
595   Concepts: preallocation^Matrix
596 
597 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
598           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
599 M*/
600 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
601 {\
602   int __l;\
603   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
604   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
605   for (__l=0;__l<nrows;__l++) {\
606     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
607   }\
608 }
609 
610 /*MC
611    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
612        inserted using a local number of the rows and columns
613 
614    Synopsis:
615    int MatPreallocateSet(int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
616 
617    Not Collective
618 
619    Input Parameters:
620 +  nrows - the number of rows indicated
621 .  rows - the indices of the rows (these will be mapped in the
622 .  ncols - the number of columns in the matrix
623 .  cols - the columns indicated
624 .  dnz - the array that will be passed to the matrix preallocation routines
625 -  ozn - the other array passed to the matrix preallocation routines
626 
627 
628    Level: intermediate
629 
630    Notes:
631    See the chapter in the users manual on performance for more details
632 
633    Do not malloc or free dnz and onz that is handled internally by these routines
634 
635   Concepts: preallocation^Matrix
636 
637 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
638           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
639 M*/
640 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
641 { int __i; \
642   for (__i=0; __i<nc; __i++) {\
643     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
644   }\
645   dnz[row - __rstart] = nc - onz[row - __rstart];\
646 }
647 
648 /*MC
649    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
650        inserted using a local number of the rows and columns
651 
652    Synopsis:
653    int MatPreallocateSymmetricSet(int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
654 
655    Not Collective
656 
657    Input Parameters:
658 +  nrows - the number of rows indicated
659 .  rows - the indices of the rows (these will be mapped in the
660 .  ncols - the number of columns in the matrix
661 .  cols - the columns indicated
662 .  dnz - the array that will be passed to the matrix preallocation routines
663 -  ozn - the other array passed to the matrix preallocation routines
664 
665 
666    Level: intermediate
667 
668    Notes:
669    See the chapter in the users manual on performance for more details
670 
671    Do not malloc or free dnz and onz that is handled internally by these routines
672 
673   Concepts: preallocation^Matrix
674 
675 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
676           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
677 M*/
678 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
679 { int __i; \
680   for (__i=0; __i<nc; __i++) {\
681     if (cols[__i] >= __end) onz[row - __rstart]++; \
682     else if (cols[__i] >= row) dnz[row - __rstart]++;\
683   }\
684 }
685 
686 /*MC
687    MatPreallocFinalize - Ends the block of code that will count the number of nonzeros per
688        row in a matrix providing the data that one can use to correctly preallocate the matrix.
689 
690    Synopsis:
691    int MatPreallocateFinalize(int *dnz, int *onz)
692 
693    Collective on MPI_Comm
694 
695    Input Parameters:
696 +  dnz - the array that will be passed to the matrix preallocation routines
697 -  ozn - the other array passed to the matrix preallocation routines
698 
699 
700    Level: intermediate
701 
702    Notes:
703    See the chapter in the users manual on performance for more details
704 
705    Do not malloc or free dnz and onz that is handled internally by these routines
706 
707   Concepts: preallocation^Matrix
708 
709 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
710           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
711 M*/
712 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);}
713 
714 
715 
716 /* Routines unique to particular data structures */
717 EXTERN int MatShellGetContext(Mat,void **);
718 
719 EXTERN int MatBDiagGetData(Mat,int*,int*,int*[],int*[],PetscScalar***);
720 EXTERN int MatSeqAIJSetColumnIndices(Mat,int[]);
721 EXTERN int MatSeqBAIJSetColumnIndices(Mat,int[]);
722 EXTERN int MatCreateSeqAIJWithArrays(MPI_Comm,int,int,int[],int[],PetscScalar[],Mat*);
723 
724 EXTERN int MatSeqBAIJSetPreallocation(Mat,int,int,const int[]);
725 EXTERN int MatSeqSBAIJSetPreallocation(Mat,int,int,const int[]);
726 EXTERN int MatSeqAIJSetPreallocation(Mat,int,const int[]);
727 EXTERN int MatSeqDensePreallocation(Mat,PetscScalar[]);
728 EXTERN int MatSeqBDiagSetPreallocation(Mat,int,int,const int[],PetscScalar*[]);
729 EXTERN int MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
730 
731 EXTERN int MatMPIBAIJSetPreallocation(Mat,int,int,const int[],int,const int[]);
732 EXTERN int MatMPISBAIJSetPreallocation(Mat,int,int,const int[],int,const int[]);
733 EXTERN int MatMPIAIJSetPreallocation(Mat,int,const int[],int,const int[]);
734 EXTERN int MatMPIDensePreallocation(Mat,PetscScalar[]);
735 EXTERN int MatMPIBDiagSetPreallocation(Mat,int,int,const int[],PetscScalar*[]);
736 EXTERN int MatMPIAdjSetPreallocation(Mat,int[],int[],int[]);
737 EXTERN int MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
738 EXTERN int MatMPIRowbsSetPreallocation(Mat,int,const int[]);
739 EXTERN int MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,int*[]);
740 EXTERN int MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,int*[]);
741 EXTERN int MatAdicSetLocalFunction(Mat,void (*)(void));
742 
743 EXTERN int MatSeqDenseSetLDA(Mat,int);
744 
745 EXTERN int MatStoreValues(Mat);
746 EXTERN int MatRetrieveValues(Mat);
747 
748 EXTERN int MatDAADSetCtx(Mat,void*);
749 
750 /*
751   These routines are not usually accessed directly, rather solving is
752   done through the SLES, KSP and PC interfaces.
753 */
754 
755 /*E
756     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
757        with an optional dynamic library name, for example
758        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
759 
760    Level: beginner
761 
762 .seealso: MatGetOrdering()
763 E*/
764 typedef char* MatOrderingType;
765 #define MATORDERING_NATURAL   "natural"
766 #define MATORDERING_ND        "nd"
767 #define MATORDERING_1WD       "1wd"
768 #define MATORDERING_RCM       "rcm"
769 #define MATORDERING_QMD       "qmd"
770 #define MATORDERING_ROWLENGTH "rowlength"
771 #define MATORDERING_DSC_ND    "dsc_nd"
772 #define MATORDERING_DSC_MMD   "dsc_mmd"
773 #define MATORDERING_DSC_MDF   "dsc_mdf"
774 #define MATORDERING_CONSTRAINED "constrained"
775 #define MATORDERING_IDENTITY  "identity"
776 #define MATORDERING_REVERSE   "reverse"
777 
778 EXTERN int MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
779 EXTERN int MatOrderingRegister(char*,char*,char*,int(*)(Mat,MatOrderingType,IS*,IS*));
780 
781 /*MC
782    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the
783                                matrix package.
784 
785    Synopsis:
786    int MatOrderingRegisterDynamic(char *name_ordering,char *path,char *name_create,int (*routine_create)(MatOrdering))
787 
788    Not Collective
789 
790    Input Parameters:
791 +  sname - name of ordering (for example MATORDERING_ND)
792 .  path - location of library where creation routine is
793 .  name - name of function that creates the ordering type,a string
794 -  function - function pointer that creates the ordering
795 
796    Level: developer
797 
798    If dynamic libraries are used, then the fourth input argument (function)
799    is ignored.
800 
801    Sample usage:
802 .vb
803    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
804                "MyOrder",MyOrder);
805 .ve
806 
807    Then, your partitioner can be chosen with the procedural interface via
808 $     MatOrderingSetType(part,"my_order)
809    or at runtime via the option
810 $     -pc_ilu_mat_ordering_type my_order
811 $     -pc_lu_mat_ordering_type my_order
812 
813    ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
814 
815 .keywords: matrix, ordering, register
816 
817 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
818 M*/
819 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
820 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
821 #else
822 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
823 #endif
824 
825 EXTERN int        MatOrderingRegisterDestroy(void);
826 EXTERN int        MatOrderingRegisterAll(char*);
827 extern PetscTruth MatOrderingRegisterAllCalled;
828 extern PetscFList MatOrderingList;
829 
830 EXTERN int MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
831 
832 /*S
833    MatFactorInfo - Data based into the matrix factorization routines
834 
835    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE
836 
837    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
838 
839    Level: developer
840 
841 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor()
842 
843 S*/
844 typedef struct {
845   PetscReal     damping;        /* scaling of identity added to matrix to prevent zero pivots */
846   PetscReal     shift;          /* if true, shift until positive pivots */
847   PetscReal     shift_fraction; /* record shift fraction taken */
848   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
849   PetscReal     dt;             /* drop tolerance */
850   PetscReal     dtcol;          /* tolerance for pivoting */
851   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
852   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
853   PetscReal     levels;         /* ICC/ILU(levels) */
854   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
855                                    factorization may be faster if do not pivot */
856   PetscReal     zeropivot;      /* pivot is called zero if less than this */
857 } MatFactorInfo;
858 
859 EXTERN int MatCholeskyFactor(Mat,IS,MatFactorInfo*);
860 EXTERN int MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
861 EXTERN int MatCholeskyFactorNumeric(Mat,Mat*);
862 EXTERN int MatLUFactor(Mat,IS,IS,MatFactorInfo*);
863 EXTERN int MatILUFactor(Mat,IS,IS,MatFactorInfo*);
864 EXTERN int MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
865 EXTERN int MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
866 EXTERN int MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
867 EXTERN int MatICCFactor(Mat,IS,MatFactorInfo*);
868 EXTERN int MatLUFactorNumeric(Mat,Mat*);
869 EXTERN int MatILUDTFactor(Mat,MatFactorInfo*,IS,IS,Mat *);
870 EXTERN int MatGetInertia(Mat,int*,int*,int*);
871 EXTERN int MatSolve(Mat,Vec,Vec);
872 EXTERN int MatForwardSolve(Mat,Vec,Vec);
873 EXTERN int MatBackwardSolve(Mat,Vec,Vec);
874 EXTERN int MatSolveAdd(Mat,Vec,Vec,Vec);
875 EXTERN int MatSolveTranspose(Mat,Vec,Vec);
876 EXTERN int MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
877 EXTERN int MatSolves(Mat,Vecs,Vecs);
878 
879 EXTERN int MatSetUnfactored(Mat);
880 
881 /*E
882     MatSORType - What type of (S)SOR to perform
883 
884     Level: beginner
885 
886    May be bitwise ORd together
887 
888    Any additions/changes here MUST also be made in include/finclude/petscmat.h
889 
890    MatSORType may be bitwise ORd together, so do not change the numbers
891 
892 .seealso: MatRelax()
893 E*/
894 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
895               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
896               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
897               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
898 EXTERN int MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,int,int,Vec);
899 
900 /*
901     These routines are for efficiently computing Jacobians via finite differences.
902 */
903 
904 /*E
905     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
906        with an optional dynamic library name, for example
907        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
908 
909    Level: beginner
910 
911 .seealso: MatGetColoring()
912 E*/
913 typedef char* MatColoringType;
914 #define MATCOLORING_NATURAL "natural"
915 #define MATCOLORING_SL      "sl"
916 #define MATCOLORING_LF      "lf"
917 #define MATCOLORING_ID      "id"
918 
919 EXTERN int MatGetColoring(Mat,MatColoringType,ISColoring*);
920 EXTERN int MatColoringRegister(char*,char*,char*,int(*)(Mat,MatColoringType,ISColoring *));
921 
922 /*MC
923    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
924                                matrix package.
925 
926    Synopsis:
927    int MatColoringRegisterDynamic(char *name_coloring,char *path,char *name_create,int (*routine_create)(MatColoring))
928 
929    Not Collective
930 
931    Input Parameters:
932 +  sname - name of Coloring (for example MATCOLORING_SL)
933 .  path - location of library where creation routine is
934 .  name - name of function that creates the Coloring type, a string
935 -  function - function pointer that creates the coloring
936 
937    Level: developer
938 
939    If dynamic libraries are used, then the fourth input argument (function)
940    is ignored.
941 
942    Sample usage:
943 .vb
944    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
945                "MyColor",MyColor);
946 .ve
947 
948    Then, your partitioner can be chosen with the procedural interface via
949 $     MatColoringSetType(part,"my_color")
950    or at runtime via the option
951 $     -mat_coloring_type my_color
952 
953    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
954 
955 .keywords: matrix, Coloring, register
956 
957 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
958 M*/
959 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
960 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
961 #else
962 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
963 #endif
964 
965 EXTERN int        MatColoringRegisterAll(char *);
966 extern PetscTruth MatColoringRegisterAllCalled;
967 EXTERN int        MatColoringRegisterDestroy(void);
968 EXTERN int        MatColoringPatch(Mat,int,int,const ISColoringValue[],ISColoring*);
969 
970 /*S
971      MatFDColoring - Object for computing a sparse Jacobian via finite differences
972         and coloring
973 
974    Level: beginner
975 
976   Concepts: coloring, sparse Jacobian, finite differences
977 
978 .seealso:  MatFDColoringCreate()
979 S*/
980 typedef struct _p_MatFDColoring *MatFDColoring;
981 
982 EXTERN int MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
983 EXTERN int MatFDColoringDestroy(MatFDColoring);
984 EXTERN int MatFDColoringView(MatFDColoring,PetscViewer);
985 EXTERN int MatFDColoringSetFunction(MatFDColoring,int (*)(void),void*);
986 EXTERN int MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
987 EXTERN int MatFDColoringSetFrequency(MatFDColoring,int);
988 EXTERN int MatFDColoringGetFrequency(MatFDColoring,int*);
989 EXTERN int MatFDColoringSetFromOptions(MatFDColoring);
990 EXTERN int MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
991 EXTERN int MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
992 EXTERN int MatFDColoringSetRecompute(MatFDColoring);
993 EXTERN int MatFDColoringSetF(MatFDColoring,Vec);
994 EXTERN int MatFDColoringGetPerturbedColumns(MatFDColoring,int*,int*[]);
995 /*
996     These routines are for partitioning matrices: currently used only
997   for adjacency matrix, MatCreateMPIAdj().
998 */
999 
1000 /*S
1001      MatPartitioning - Object for managing the partitioning of a matrix or graph
1002 
1003    Level: beginner
1004 
1005   Concepts: partitioning
1006 
1007 .seealso:  MatPartitioningCreate(), MatPartitioningType
1008 S*/
1009 typedef struct _p_MatPartitioning *MatPartitioning;
1010 
1011 /*E
1012     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1013        with an optional dynamic library name, for example
1014        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1015 
1016    Level: beginner
1017 
1018 .seealso: MatPartitioningCreate(), MatPartitioning
1019 E*/
1020 typedef char* MatPartitioningType;
1021 #define MAT_PARTITIONING_CURRENT  "current"
1022 #define MAT_PARTITIONING_PARMETIS "parmetis"
1023 
1024 EXTERN int MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1025 EXTERN int MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1026 EXTERN int MatPartitioningSetNParts(MatPartitioning,int);
1027 EXTERN int MatPartitioningSetAdjacency(MatPartitioning,Mat);
1028 EXTERN int MatPartitioningSetVertexWeights(MatPartitioning,const int[]);
1029 EXTERN int MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1030 EXTERN int MatPartitioningApply(MatPartitioning,IS*);
1031 EXTERN int MatPartitioningDestroy(MatPartitioning);
1032 
1033 EXTERN int MatPartitioningRegister(char*,char*,char*,int(*)(MatPartitioning));
1034 
1035 /*MC
1036    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1037    matrix package.
1038 
1039    Synopsis:
1040    int MatPartitioningRegisterDynamic(char *name_partitioning,char *path,char *name_create,int (*routine_create)(MatPartitioning))
1041 
1042    Not Collective
1043 
1044    Input Parameters:
1045 +  sname - name of partitioning (for example MAT_PARTITIONING_CURRENT) or parmetis
1046 .  path - location of library where creation routine is
1047 .  name - name of function that creates the partitioning type, a string
1048 -  function - function pointer that creates the partitioning type
1049 
1050    Level: developer
1051 
1052    If dynamic libraries are used, then the fourth input argument (function)
1053    is ignored.
1054 
1055    Sample usage:
1056 .vb
1057    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1058                "MyPartCreate",MyPartCreate);
1059 .ve
1060 
1061    Then, your partitioner can be chosen with the procedural interface via
1062 $     MatPartitioningSetType(part,"my_part")
1063    or at runtime via the option
1064 $     -mat_partitioning_type my_part
1065 
1066    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
1067 
1068 .keywords: matrix, partitioning, register
1069 
1070 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1071 M*/
1072 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1073 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1074 #else
1075 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1076 #endif
1077 
1078 EXTERN int        MatPartitioningRegisterAll(char *);
1079 extern PetscTruth MatPartitioningRegisterAllCalled;
1080 EXTERN int        MatPartitioningRegisterDestroy(void);
1081 
1082 EXTERN int MatPartitioningView(MatPartitioning,PetscViewer);
1083 EXTERN int MatPartitioningSetFromOptions(MatPartitioning);
1084 EXTERN int MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1085 
1086 EXTERN int MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1087 
1088 /*
1089     If you add entries here you must also add them to finclude/petscmat.h
1090 */
1091 typedef enum { MATOP_SET_VALUES=0,
1092                MATOP_GET_ROW=1,
1093                MATOP_RESTORE_ROW=2,
1094                MATOP_MULT=3,
1095                MATOP_MULT_ADD=4,
1096                MATOP_MULT_TRANSPOSE=5,
1097                MATOP_MULT_TRANSPOSE_ADD=6,
1098                MATOP_SOLVE=7,
1099                MATOP_SOLVE_ADD=8,
1100                MATOP_SOLVE_TRANSPOSE=9,
1101                MATOP_SOLVE_TRANSPOSE_ADD=10,
1102                MATOP_LUFACTOR=11,
1103                MATOP_CHOLESKYFACTOR=12,
1104                MATOP_RELAX=13,
1105                MATOP_TRANSPOSE=14,
1106                MATOP_GETINFO=15,
1107                MATOP_EQUAL=16,
1108                MATOP_GET_DIAGONAL=17,
1109                MATOP_DIAGONAL_SCALE=18,
1110                MATOP_NORM=19,
1111                MATOP_ASSEMBLY_BEGIN=20,
1112                MATOP_ASSEMBLY_END=21,
1113                MATOP_COMPRESS=22,
1114                MATOP_SET_OPTION=23,
1115                MATOP_ZERO_ENTRIES=24,
1116                MATOP_ZERO_ROWS=25,
1117                MATOP_LUFACTOR_SYMBOLIC=26,
1118                MATOP_LUFACTOR_NUMERIC=27,
1119                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
1120                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
1121                MATOP_SETUP_PREALLOCATION=30,
1122                MATOP_ILUFACTOR_SYMBOLIC=31,
1123                MATOP_ICCFACTOR_SYMBOLIC=32,
1124                MATOP_GET_ARRAY=33,
1125                MATOP_RESTORE_ARRAY=34,
1126                MATOP_DUPLCIATE=35,
1127                MATOP_FORWARD_SOLVE=36,
1128                MATOP_BACKWARD_SOLVE=37,
1129                MATOP_ILUFACTOR=38,
1130                MATOP_ICCFACTOR=39,
1131                MATOP_AXPY=40,
1132                MATOP_GET_SUBMATRICES=41,
1133                MATOP_INCREASE_OVERLAP=42,
1134                MATOP_GET_VALUES=43,
1135                MATOP_COPY=44,
1136                MATOP_PRINT_HELP=45,
1137                MATOP_SCALE=46,
1138                MATOP_SHIFT=47,
1139                MATOP_DIAGONAL_SHIFT=48,
1140                MATOP_ILUDT_FACTOR=49,
1141                MATOP_GET_BLOCK_SIZE=50,
1142                MATOP_GET_ROW_IJ=51,
1143                MATOP_RESTORE_ROW_IJ=52,
1144                MATOP_GET_COLUMN_IJ=53,
1145                MATOP_RESTORE_COLUMN_IJ=54,
1146                MATOP_FDCOLORING_CREATE=55,
1147                MATOP_COLORING_PATCH=56,
1148                MATOP_SET_UNFACTORED=57,
1149                MATOP_PERMUTE=58,
1150                MATOP_SET_VALUES_BLOCKED=59,
1151                MATOP_GET_SUBMATRIX=60,
1152                MATOP_DESTROY=61,
1153                MATOP_VIEW=62,
1154                MATOP_GET_MAPS=63,
1155                MATOP_USE_SCALED_FORM=64,
1156                MATOP_SCALE_SYSTEM=65,
1157                MATOP_UNSCALE_SYSTEM=66,
1158                MATOP_SET_LOCAL_TO_GLOBAL_MAPPING=67,
1159                MATOP_SET_VALUES_LOCAL=68,
1160                MATOP_ZERO_ROWS_LOCAL=69,
1161                MATOP_GET_ROW_MAX=70,
1162                MATOP_CONVERT=71,
1163                MATOP_SET_COLORING=72,
1164                MATOP_SET_VALUES_ADIC=73,
1165                MATOP_SET_VALUES_ADIFOR=74,
1166                MATOP_FD_COLORING_APPLY=75,
1167                MATOP_SET_FROM_OPTIONS=76,
1168                MATOP_MULT_CONSTRAINED=77,
1169                MATOP_MULT_TRANSPOSE_CONSTRAINED=78,
1170                MATOP_ILU_FACTOR_SYMBOLIC_CONSTRAINED=79,
1171                MATOP_PERMUTE_SPARSIFY=80,
1172                MATOP_MULT_MULTIPLE=81,
1173                MATOP_SOLVE_MULTIPLE=82
1174              } MatOperation;
1175 EXTERN int MatHasOperation(Mat,MatOperation,PetscTruth*);
1176 EXTERN int MatShellSetOperation(Mat,MatOperation,void(*)(void));
1177 EXTERN int MatShellGetOperation(Mat,MatOperation,void(**)(void));
1178 EXTERN int MatShellSetContext(Mat,void*);
1179 
1180 /*
1181    Codes for matrices stored on disk. By default they are
1182  stored in a universal format. By changing the format with
1183  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
1184  be stored in a way natural for the matrix, for example dense matrices
1185  would be stored as dense. Matrices stored this way may only be
1186  read into matrices of the same time.
1187 */
1188 #define MATRIX_BINARY_FORMAT_DENSE -1
1189 
1190 EXTERN int MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1191 EXTERN int MatSeqAIJGetInodeSizes(Mat,int *,int *[],int *);
1192 EXTERN int MatMPIRowbsGetColor(Mat,ISColoring *);
1193 
1194 /*S
1195      MatNullSpace - Object that removes a null space from a vector, i.e.
1196          orthogonalizes the vector to a subsapce
1197 
1198    Level: advanced
1199 
1200   Concepts: matrix; linear operator, null space
1201 
1202   Users manual sections:
1203 .   sec_singular
1204 
1205 .seealso:  MatNullSpaceCreate()
1206 S*/
1207 typedef struct _p_MatNullSpace* MatNullSpace;
1208 
1209 EXTERN int MatNullSpaceCreate(MPI_Comm,int,int,const Vec[],MatNullSpace*);
1210 EXTERN int MatNullSpaceDestroy(MatNullSpace);
1211 EXTERN int MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1212 EXTERN int MatNullSpaceAttach(Mat,MatNullSpace);
1213 EXTERN int MatNullSpaceTest(MatNullSpace,Mat);
1214 
1215 EXTERN int MatReorderingSeqSBAIJ(Mat A,IS isp);
1216 EXTERN int MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1217 EXTERN int MatSeqSBAIJSetColumnIndices(Mat,int *);
1218 
1219 EXTERN int MatMatMult(Mat A,Mat B, Mat *C);
1220 EXTERN int MatMatMultSymbolic(Mat A,Mat B,Mat *C);
1221 EXTERN int MatMatMultNumeric(Mat A,Mat B,Mat C);
1222 
1223 EXTERN int MatCreateMAIJ(Mat,int,Mat*);
1224 EXTERN int MatMAIJRedimension(Mat,int,Mat*);
1225 EXTERN int MatMAIJGetAIJ(Mat,Mat*);
1226 
1227 EXTERN int MatComputeExplicitOperator(Mat,Mat*);
1228 
1229 EXTERN int MatESISetType(Mat,char*);
1230 EXTERN int MatESISetFromOptions(Mat);
1231 
1232 EXTERN int MatDiagonalScaleLocal(Mat,Vec);
1233 
1234 EXTERN int PetscViewerMathematicaPutMatrix(PetscViewer, int, int, PetscReal *);
1235 EXTERN int PetscViewerMathematicaPutCSRMatrix(PetscViewer, int, int, int *, int *, PetscReal *);
1236 
1237 EXTERN int MatUseSpooles_SeqAIJ(Mat);
1238 EXTERN int MatUseUMFPACK_SeqAIJ(Mat);
1239 EXTERN int MatUseSuperLU_SeqAIJ(Mat);
1240 EXTERN int MatUseEssl_SeqAIJ(Mat);
1241 EXTERN int MatUseLUSOL_SeqAIJ(Mat);
1242 EXTERN int MatUseMatlab_SeqAIJ(Mat);
1243 EXTERN int MatUseDXML_SeqAIJ(Mat);
1244 EXTERN int MatUsePETSc_SeqAIJ(Mat);
1245 EXTERN int MatUseSuperLU_DIST_MPIAIJ(Mat);
1246 EXTERN int MatUseSpooles_MPIAIJ(Mat);
1247 EXTERN int MatUseSpooles_SeqSBAIJ(Mat);
1248 EXTERN int MatUseSpooles_MPISBAIJ(Mat);
1249 EXTERN int MatUseMUMPS_MPIAIJ(Mat);
1250 
1251 PETSC_EXTERN_CXX_END
1252 #endif
1253