xref: /petsc/include/petscmat.h (revision 5441df8ea7fc15821ed1fa0916d70c7c3774aeba)
1 /* $Id: petscmat.h,v 1.228 2001/09/07 20:09:08 bsmith Exp $ */
2 /*
3      Include file for the matrix component of PETSc
4 */
5 #ifndef __PETSCMAT_H
6 #define __PETSCMAT_H
7 #include "petscvec.h"
8 
9 /*S
10      Mat - Abstract PETSc matrix object
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*E
21     MatType - String with the name of a PETSc matrix or the creation function
22        with an optional dynamic library name, for example
23        http://www.mcs.anl.gov/petsc/lib.a:mymatcreate()
24 
25    Level: beginner
26 
27 .seealso: MatSetType(), Mat
28 E*/
29 #define MATSAME            "same"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATMPIROWBS        "mpirowbs"
34 #define MATSEQDENSE        "seqdense"
35 #define MATSEQAIJ          "seqaij"
36 #define MATMPIAIJ          "mpiaij"
37 #define MATSHELL           "shell"
38 #define MATSEQBDIAG        "seqbdiag"
39 #define MATMPIBDIAG        "mpibdiag"
40 #define MATMPIDENSE        "mpidense"
41 #define MATSEQBAIJ         "seqbaij"
42 #define MATMPIBAIJ         "mpibaij"
43 #define MATMPIADJ          "mpiadj"
44 #define MATSEQSBAIJ        "seqsbaij"
45 #define MATMPISBAIJ        "mpisbaij"
46 #define MATDAAD            "daad"
47 #define MATMFFD            "mffd"
48 #define MATESI             "esi"
49 #define MATPETSCESI        "petscesi"
50 #define MATNORMAL          "normal"
51 #define MATSEQAIJSPOOLES   "seqaijspooles"
52 #define MATMPIAIJSPOOLES   "mpiaijspooles"
53 #define MATSEQSBAIJSPOOLES "seqsbaijspooles"
54 #define MATMPISBAIJSPOOLES "mpisbaijspooles"
55 #define MATSUPERLU         "superlu"
56 #define MATSUPERLU_DIST    "superlu_dist"
57 #define MATUMFPACK         "umfpack"
58 #define MATESSL            "essl"
59 #define MATLUSOL           "lusol"
60 #define MATAIJMUMPS        "aijmumps"
61 #define MATSBAIJMUMPS      "sbaijmumps"
62 #define MATDSCPACK         "dscpack"
63 typedef char* MatType;
64 
65 #define MAT_SER_SEQAIJ_BINARY "seqaij_binary"
66 #define MAT_SER_MPIAIJ_BINARY "mpiaij_binary"
67 typedef char *MatSerializeType;
68 
69 /* Logging support */
70 #define    MAT_FILE_COOKIE 1211216    /* used to indicate matrices in binary files */
71 extern int MAT_COOKIE;
72 extern int MATSNESMFCTX_COOKIE;
73 extern int MAT_FDCOLORING_COOKIE;
74 extern int MAT_PARTITIONING_COOKIE;
75 extern int MAT_NULLSPACE_COOKIE;
76 extern int MAT_Mult, MAT_MultMatrixFree, MAT_Mults, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
77 extern int MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_Solves, MAT_SolveAdd, MAT_SolveTranspose;
78 extern int MAT_SolveTransposeAdd, MAT_Relax, MAT_ForwardSolve, MAT_BackwardSolve, MAT_LUFactor, MAT_LUFactorSymbolic;
79 extern int MAT_LUFactorNumeric, MAT_CholeskyFactor, MAT_CholeskyFactorSymbolic, MAT_CholeskyFactorNumeric, MAT_ILUFactor;
80 extern int MAT_ILUFactorSymbolic, MAT_ICCFactorSymbolic, MAT_Copy, MAT_Convert, MAT_Scale, MAT_AssemblyBegin;
81 extern int MAT_AssemblyEnd, MAT_SetValues, MAT_GetValues, MAT_GetRow, MAT_GetSubMatrices, MAT_GetColoring, MAT_GetOrdering;
82 extern int MAT_IncreaseOverlap, MAT_Partitioning, MAT_ZeroEntries, MAT_Load, MAT_View, MAT_AXPY, MAT_FDColoringCreate;
83 extern int MAT_FDColoringApply, MAT_Transpose, MAT_FDColoringFunction;
84 
85 EXTERN int MatInitializePackage(char *);
86 
87 EXTERN int MatCreate(MPI_Comm,int,int,int,int,Mat*);
88 EXTERN int MatSetType(Mat,MatType);
89 EXTERN int MatSetFromOptions(Mat);
90 EXTERN int MatSetUpPreallocation(Mat);
91 EXTERN int MatRegisterAll(char*);
92 EXTERN int MatRegister(char*,char*,char*,int(*)(Mat));
93 EXTERN int MatSerializeRegister(const char [], const char [], const char [], int (*)(MPI_Comm, Mat *, PetscViewer, PetscTruth));
94 
95 /*MC
96    MatRegisterDynamic - Adds a new matrix type
97 
98    Synopsis:
99    int MatRegisterDynamic(char *name,char *path,char *name_create,int (*routine_create)(Mat))
100 
101    Not Collective
102 
103    Input Parameters:
104 +  name - name of a new user-defined matrix type
105 .  path - path (either absolute or relative) the library containing this solver
106 .  name_create - name of routine to create method context
107 -  routine_create - routine to create method context
108 
109    Notes:
110    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
111 
112    If dynamic libraries are used, then the fourth input argument (routine_create)
113    is ignored.
114 
115    Sample usage:
116 .vb
117    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
118                "MyMatCreate",MyMatCreate);
119 .ve
120 
121    Then, your solver can be chosen with the procedural interface via
122 $     MatSetType(Mat,"my_mat")
123    or at runtime via the option
124 $     -mat_type my_mat
125 
126    Level: advanced
127 
128    Notes: ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
129          If your function is not being put into a shared library then use VecRegister() instead
130 
131 .keywords: Mat, register
132 
133 .seealso: MatRegisterAll(), MatRegisterDestroy()
134 
135 M*/
136 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
137 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
138 #else
139 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
140 #endif
141 
142 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
143 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,0)
144 #else
145 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,d)
146 #endif
147 
148 extern PetscTruth MatRegisterAllCalled;
149 extern PetscFList MatList;
150 
151 EXTERN PetscFList MatSerializeList;
152 EXTERN int MatSerializeRegisterAll(const char []);
153 EXTERN int MatSerializeRegisterDestroy(void);
154 EXTERN int MatSerializeRegisterAllCalled;
155 EXTERN int MatSerialize(MPI_Comm, Mat *, PetscViewer, PetscTruth);
156 EXTERN int MatSetSerializeType(Mat, MatSerializeType);
157 
158 EXTERN int MatCreateSeqDense(MPI_Comm,int,int,PetscScalar[],Mat*);
159 EXTERN int MatCreateMPIDense(MPI_Comm,int,int,int,int,PetscScalar[],Mat*);
160 EXTERN int MatCreateSeqAIJ(MPI_Comm,int,int,int,const int[],Mat*);
161 EXTERN int MatCreateMPIAIJ(MPI_Comm,int,int,int,int,int,const int[],int,const int[],Mat*);
162 EXTERN int MatCreateMPIRowbs(MPI_Comm,int,int,int,const int[],Mat*);
163 EXTERN int MatCreateSeqBDiag(MPI_Comm,int,int,int,int,const int[],PetscScalar*[],Mat*);
164 EXTERN int MatCreateMPIBDiag(MPI_Comm,int,int,int,int,int,const int[],PetscScalar*[],Mat*);
165 EXTERN int MatCreateSeqBAIJ(MPI_Comm,int,int,int,int,const int[],Mat*);
166 EXTERN int MatCreateMPIBAIJ(MPI_Comm,int,int,int,int,int,int,const int[],int,const int[],Mat*);
167 EXTERN int MatCreateMPIAdj(MPI_Comm,int,int,int[],int[],int[],Mat*);
168 EXTERN int MatCreateSeqSBAIJ(MPI_Comm,int,int,int,int,const int[],Mat*);
169 EXTERN int MatCreateMPISBAIJ(MPI_Comm,int,int,int,int,int,int,const int[],int,const int[],Mat*);
170 EXTERN int MatCreateShell(MPI_Comm,int,int,int,int,void *,Mat*);
171 EXTERN int MatCreateAdic(MPI_Comm,int,int,int,int,int,void (*)(void),Mat*);
172 EXTERN int MatCreateNormal(Mat,Mat*);
173 EXTERN int MatDestroy(Mat);
174 
175 EXTERN int MatPrintHelp(Mat);
176 EXTERN int MatGetPetscMaps(Mat,PetscMap*,PetscMap*);
177 
178 /* ------------------------------------------------------------*/
179 EXTERN int MatSetValues(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
180 EXTERN int MatSetValuesBlocked(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
181 
182 /*S
183      MatStencil - Data structure (C struct) for storing information about a single row or
184         column of a matrix as index on an associated grid.
185 
186    Level: beginner
187 
188   Concepts: matrix; linear operator
189 
190 .seealso:  MatSetValuesStencil(), MatSetStencil()
191 S*/
192 typedef struct {
193   int k,j,i,c;
194 } MatStencil;
195 
196 EXTERN int MatSetValuesStencil(Mat,int,const MatStencil[],int,const MatStencil[],const PetscScalar[],InsertMode);
197 EXTERN int MatSetValuesBlockedStencil(Mat,int,const MatStencil[],int,const MatStencil[],const PetscScalar[],InsertMode);
198 EXTERN int MatSetStencil(Mat,int,const int[],const int[],int);
199 
200 EXTERN int MatSetColoring(Mat,ISColoring);
201 EXTERN int MatSetValuesAdic(Mat,void*);
202 EXTERN int MatSetValuesAdifor(Mat,int,void*);
203 
204 /*E
205     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
206      to continue to add values to it
207 
208     Level: beginner
209 
210 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
211 E*/
212 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
213 EXTERN int MatAssemblyBegin(Mat,MatAssemblyType);
214 EXTERN int MatAssemblyEnd(Mat,MatAssemblyType);
215 EXTERN int MatAssembled(Mat,PetscTruth*);
216 
217 /*MC
218    MatSetValue - Set a single entry into a matrix.
219 
220    Synopsis:
221    int MatSetValue(Mat m,int row,int col,PetscScalar value,InsertMode mode);
222 
223    Not collective
224 
225    Input Parameters:
226 +  m - the matrix
227 .  row - the row location of the entry
228 .  col - the column location of the entry
229 .  value - the value to insert
230 -  mode - either INSERT_VALUES or ADD_VALUES
231 
232    Notes:
233    For efficiency one should use MatSetValues() and set several or many
234    values simultaneously if possible.
235 
236    Note that MatSetValue() does NOT return an error code (since this
237    is checked internally).
238 
239    Level: beginner
240 
241 .seealso: MatSetValues(), MatSetValueLocal()
242 M*/
243 #define MatSetValue(v,i,j,va,mode) \
244 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
245   _ierr = MatSetValues(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
246 }
247 
248 #define MatGetValue(v,i,j,va) \
249 0; {int _ierr,_row = i,_col = j; \
250   _ierr = MatGetValues(v,1,&_row,1,&_col,&va);CHKERRQ(_ierr); \
251 }
252 
253 #define MatSetValueLocal(v,i,j,va,mode) \
254 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
255   _ierr = MatSetValuesLocal(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
256 }
257 
258 /*E
259     MatOption - Options that may be set for a matrix and its behavior or storage
260 
261     Level: beginner
262 
263    Any additions/changes here MUST also be made in include/finclude/petscmat.h
264 
265 .seealso: MatSetOption()
266 E*/
267 typedef enum {MAT_ROW_ORIENTED=1,MAT_COLUMN_ORIENTED=2,MAT_ROWS_SORTED=4,
268               MAT_COLUMNS_SORTED=8,MAT_NO_NEW_NONZERO_LOCATIONS=16,
269               MAT_YES_NEW_NONZERO_LOCATIONS=32,MAT_SYMMETRIC=64,
270               MAT_STRUCTURALLY_SYMMETRIC=65,MAT_NO_NEW_DIAGONALS=66,
271               MAT_YES_NEW_DIAGONALS=67,MAT_INODE_LIMIT_1=68,MAT_INODE_LIMIT_2=69,
272               MAT_INODE_LIMIT_3=70,MAT_INODE_LIMIT_4=71,MAT_INODE_LIMIT_5=72,
273               MAT_IGNORE_OFF_PROC_ENTRIES=73,MAT_ROWS_UNSORTED=74,
274               MAT_COLUMNS_UNSORTED=75,MAT_NEW_NONZERO_LOCATION_ERR=76,
275               MAT_NEW_NONZERO_ALLOCATION_ERR=77,MAT_USE_HASH_TABLE=78,
276               MAT_KEEP_ZEROED_ROWS=79,MAT_IGNORE_ZERO_ENTRIES=80,MAT_USE_INODES=81,
277               MAT_DO_NOT_USE_INODES=82} MatOption;
278 EXTERN int MatSetOption(Mat,MatOption);
279 EXTERN int MatGetType(Mat,MatType*);
280 
281 EXTERN int MatGetValues(Mat,int,const int[],int,const int[],PetscScalar[]);
282 EXTERN int MatGetRow(Mat,int,int *,int *[],PetscScalar*[]);
283 EXTERN int MatRestoreRow(Mat,int,int *,int *[],PetscScalar*[]);
284 EXTERN int MatGetColumn(Mat,int,int *,int *[],PetscScalar*[]);
285 EXTERN int MatRestoreColumn(Mat,int,int *,int *[],PetscScalar*[]);
286 EXTERN int MatGetColumnVector(Mat,Vec,int);
287 EXTERN int MatGetArray(Mat,PetscScalar *[]);
288 EXTERN int MatRestoreArray(Mat,PetscScalar *[]);
289 EXTERN int MatGetBlockSize(Mat,int *);
290 
291 EXTERN int MatMult(Mat,Vec,Vec);
292 EXTERN int MatMultAdd(Mat,Vec,Vec,Vec);
293 EXTERN int MatMultTranspose(Mat,Vec,Vec);
294 EXTERN int MatIsSymmetric(Mat,Mat,PetscTruth*);
295 EXTERN int MatMultTransposeAdd(Mat,Vec,Vec,Vec);
296 EXTERN int MatMultConstrained(Mat,Vec,Vec);
297 EXTERN int MatMultTransposeConstrained(Mat,Vec,Vec);
298 
299 /*E
300     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
301   its numerical values copied over or just its nonzero structure.
302 
303     Level: beginner
304 
305    Any additions/changes here MUST also be made in include/finclude/petscmat.h
306 
307 .seealso: MatDuplicate()
308 E*/
309 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption;
310 
311 EXTERN int MatConvertRegister(char*,char*,char*,int (*)(Mat,MatType,Mat*));
312 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
313 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0)
314 #else
315 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d)
316 #endif
317 EXTERN int        MatConvertRegisterAll(char*);
318 EXTERN int        MatConvertRegisterDestroy(void);
319 extern PetscTruth MatConvertRegisterAllCalled;
320 extern PetscFList MatConvertList;
321 EXTERN int        MatConvert(Mat,MatType,Mat*);
322 EXTERN int        MatDuplicate(Mat,MatDuplicateOption,Mat*);
323 
324 /*E
325     MatStructure - Indicates if the matrix has the same nonzero structure
326 
327     Level: beginner
328 
329    Any additions/changes here MUST also be made in include/finclude/petscmat.h
330 
331 .seealso: MatCopy(), SLESSetOperators(), PCSetOperators()
332 E*/
333 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
334 
335 EXTERN int MatCopy(Mat,Mat,MatStructure);
336 EXTERN int MatView(Mat,PetscViewer);
337 
338 EXTERN int MatLoadRegister(char*,char*,char*,int (*)(PetscViewer,MatType,Mat*));
339 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
340 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,0)
341 #else
342 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,d)
343 #endif
344 EXTERN int        MatLoadRegisterAll(char*);
345 EXTERN int        MatLoadRegisterDestroy(void);
346 extern PetscTruth MatLoadRegisterAllCalled;
347 extern PetscFList MatLoadList;
348 EXTERN int        MatLoad(PetscViewer,MatType,Mat*);
349 EXTERN int        MatMerge(MPI_Comm,Mat,Mat*);
350 
351 EXTERN int MatGetRowIJ(Mat,int,PetscTruth,int*,int *[],int *[],PetscTruth *);
352 EXTERN int MatRestoreRowIJ(Mat,int,PetscTruth,int *,int *[],int *[],PetscTruth *);
353 EXTERN int MatGetColumnIJ(Mat,int,PetscTruth,int*,int *[],int *[],PetscTruth *);
354 EXTERN int MatRestoreColumnIJ(Mat,int,PetscTruth,int *,int *[],int *[],PetscTruth *);
355 
356 /*S
357      MatInfo - Context of matrix information, used with MatGetInfo()
358 
359    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
360 
361    Level: intermediate
362 
363   Concepts: matrix^nonzero information
364 
365 .seealso:  MatGetInfo(), MatInfoType
366 S*/
367 typedef struct {
368   PetscLogDouble rows_global,columns_global;         /* number of global rows and columns */
369   PetscLogDouble rows_local,columns_local;           /* number of local rows and columns */
370   PetscLogDouble block_size;                         /* block size */
371   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
372   PetscLogDouble memory;                             /* memory allocated */
373   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
374   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
375   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
376   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
377 } MatInfo;
378 
379 /*E
380     MatInfoType - Indicates if you want information about the local part of the matrix,
381      the entire parallel matrix or the maximum over all the local parts.
382 
383     Level: beginner
384 
385    Any additions/changes here MUST also be made in include/finclude/petscmat.h
386 
387 .seealso: MatGetInfo(), MatInfo
388 E*/
389 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
390 EXTERN int MatGetInfo(Mat,MatInfoType,MatInfo*);
391 EXTERN int MatValid(Mat,PetscTruth*);
392 EXTERN int MatGetDiagonal(Mat,Vec);
393 EXTERN int MatGetRowMax(Mat,Vec);
394 EXTERN int MatTranspose(Mat,Mat*);
395 EXTERN int MatPermute(Mat,IS,IS,Mat *);
396 EXTERN int MatPermuteSparsify(Mat,int,PetscReal,PetscReal,IS,IS,Mat *);
397 EXTERN int MatDiagonalScale(Mat,Vec,Vec);
398 EXTERN int MatDiagonalSet(Mat,Vec,InsertMode);
399 EXTERN int MatEqual(Mat,Mat,PetscTruth*);
400 
401 EXTERN int MatNorm(Mat,NormType,PetscReal *);
402 EXTERN int MatZeroEntries(Mat);
403 EXTERN int MatZeroRows(Mat,IS,const PetscScalar*);
404 EXTERN int MatZeroColumns(Mat,IS,const PetscScalar*);
405 
406 EXTERN int MatUseScaledForm(Mat,PetscTruth);
407 EXTERN int MatScaleSystem(Mat,Vec,Vec);
408 EXTERN int MatUnScaleSystem(Mat,Vec,Vec);
409 
410 EXTERN int MatGetSize(Mat,int*,int*);
411 EXTERN int MatGetLocalSize(Mat,int*,int*);
412 EXTERN int MatGetOwnershipRange(Mat,int*,int*);
413 
414 /*E
415     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
416      or MatGetSubMatrix() are to be reused to store the new matrix values.
417 
418     Level: beginner
419 
420    Any additions/changes here MUST also be made in include/finclude/petscmat.h
421 
422 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices()
423 E*/
424 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse;
425 EXTERN int MatGetSubMatrices(Mat,int,const IS[],const IS[],MatReuse,Mat *[]);
426 EXTERN int MatDestroyMatrices(int,Mat *[]);
427 EXTERN int MatGetSubMatrix(Mat,IS,IS,int,MatReuse,Mat *);
428 
429 EXTERN int MatIncreaseOverlap(Mat,int,IS[],int);
430 
431 EXTERN int MatAXPY(const PetscScalar *,Mat,Mat,MatStructure);
432 EXTERN int MatAYPX(const PetscScalar *,Mat,Mat);
433 EXTERN int MatCompress(Mat);
434 
435 EXTERN int MatScale(const PetscScalar *,Mat);
436 EXTERN int MatShift(const PetscScalar *,Mat);
437 
438 EXTERN int MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
439 EXTERN int MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
440 EXTERN int MatZeroRowsLocal(Mat,IS,const PetscScalar*);
441 EXTERN int MatSetValuesLocal(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
442 EXTERN int MatSetValuesBlockedLocal(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
443 
444 EXTERN int MatSetStashInitialSize(Mat,int,int);
445 
446 EXTERN int MatInterpolateAdd(Mat,Vec,Vec,Vec);
447 EXTERN int MatInterpolate(Mat,Vec,Vec);
448 EXTERN int MatRestrict(Mat,Vec,Vec);
449 
450 
451 /*MC
452    MatPreallocInitialize - Begins the block of code that will count the number of nonzeros per
453        row in a matrix providing the data that one can use to correctly preallocate the matrix.
454 
455    Synopsis:
456    int MatPreallocateInitialize(MPI_Comm comm, int nrows, int ncols, int *dnz, int *onz)
457 
458    Collective on MPI_Comm
459 
460    Input Parameters:
461 +  comm - the communicator that will share the eventually allocated matrix
462 .  nrows - the number of rows in the matrix
463 -  ncols - the number of columns in the matrix
464 
465    Output Parameters:
466 +  dnz - the array that will be passed to the matrix preallocation routines
467 -  ozn - the other array passed to the matrix preallocation routines
468 
469 
470    Level: intermediate
471 
472    Notes:
473    See the chapter in the users manual on performance for more details
474 
475    Do not malloc or free dnz and onz that is handled internally by these routines
476 
477    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
478 
479   Concepts: preallocation^Matrix
480 
481 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
482           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
483 M*/
484 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
485 { \
486   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
487   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
488   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
489   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
490   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
491 
492 /*MC
493    MatPreallocSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
494        row in a matrix providing the data that one can use to correctly preallocate the matrix.
495 
496    Synopsis:
497    int MatPreallocateSymmetricInitialize(MPI_Comm comm, int nrows, int ncols, int *dnz, int *onz)
498 
499    Collective on MPI_Comm
500 
501    Input Parameters:
502 +  comm - the communicator that will share the eventually allocated matrix
503 .  nrows - the number of rows in the matrix
504 -  ncols - the number of columns in the matrix
505 
506    Output Parameters:
507 +  dnz - the array that will be passed to the matrix preallocation routines
508 -  ozn - the other array passed to the matrix preallocation routines
509 
510 
511    Level: intermediate
512 
513    Notes:
514    See the chapter in the users manual on performance for more details
515 
516    Do not malloc or free dnz and onz that is handled internally by these routines
517 
518   Concepts: preallocation^Matrix
519 
520 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
521           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
522 M*/
523 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
524 { \
525   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__end; \
526   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
527   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
528   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
529   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
530 
531 /*MC
532    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
533        inserted using a local number of the rows and columns
534 
535    Synopsis:
536    int MatPreallocateSetLocal(ISLocalToGlobalMappping map,int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
537 
538    Not Collective
539 
540    Input Parameters:
541 +  map - the mapping between local numbering and global numbering
542 .  nrows - the number of rows indicated
543 .  rows - the indices of the rows (these will be mapped in the
544 .  ncols - the number of columns in the matrix
545 .  cols - the columns indicated
546 .  dnz - the array that will be passed to the matrix preallocation routines
547 -  ozn - the other array passed to the matrix preallocation routines
548 
549 
550    Level: intermediate
551 
552    Notes:
553    See the chapter in the users manual on performance for more details
554 
555    Do not malloc or free dnz and onz that is handled internally by these routines
556 
557   Concepts: preallocation^Matrix
558 
559 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
560           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
561 M*/
562 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
563 {\
564   int __l;\
565   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
566   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
567   for (__l=0;__l<nrows;__l++) {\
568     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
569   }\
570 }
571 
572 /*MC
573    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
574        inserted using a local number of the rows and columns
575 
576    Synopsis:
577    int MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
578 
579    Not Collective
580 
581    Input Parameters:
582 +  map - the mapping between local numbering and global numbering
583 .  nrows - the number of rows indicated
584 .  rows - the indices of the rows (these will be mapped in the
585 .  ncols - the number of columns in the matrix
586 .  cols - the columns indicated
587 .  dnz - the array that will be passed to the matrix preallocation routines
588 -  ozn - the other array passed to the matrix preallocation routines
589 
590 
591    Level: intermediate
592 
593    Notes:
594    See the chapter in the users manual on performance for more details
595 
596    Do not malloc or free dnz and onz that is handled internally by these routines
597 
598   Concepts: preallocation^Matrix
599 
600 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
601           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
602 M*/
603 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
604 {\
605   int __l;\
606   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
607   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
608   for (__l=0;__l<nrows;__l++) {\
609     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
610   }\
611 }
612 
613 /*MC
614    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
615        inserted using a local number of the rows and columns
616 
617    Synopsis:
618    int MatPreallocateSet(int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
619 
620    Not Collective
621 
622    Input Parameters:
623 +  nrows - the number of rows indicated
624 .  rows - the indices of the rows (these will be mapped in the
625 .  ncols - the number of columns in the matrix
626 .  cols - the columns indicated
627 .  dnz - the array that will be passed to the matrix preallocation routines
628 -  ozn - the other array passed to the matrix preallocation routines
629 
630 
631    Level: intermediate
632 
633    Notes:
634    See the chapter in the users manual on performance for more details
635 
636    Do not malloc or free dnz and onz that is handled internally by these routines
637 
638   Concepts: preallocation^Matrix
639 
640 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
641           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
642 M*/
643 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
644 { int __i; \
645   for (__i=0; __i<nc; __i++) {\
646     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
647   }\
648   dnz[row - __rstart] = nc - onz[row - __rstart];\
649 }
650 
651 /*MC
652    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
653        inserted using a local number of the rows and columns
654 
655    Synopsis:
656    int MatPreallocateSymmetricSet(int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
657 
658    Not Collective
659 
660    Input Parameters:
661 +  nrows - the number of rows indicated
662 .  rows - the indices of the rows (these will be mapped in the
663 .  ncols - the number of columns in the matrix
664 .  cols - the columns indicated
665 .  dnz - the array that will be passed to the matrix preallocation routines
666 -  ozn - the other array passed to the matrix preallocation routines
667 
668 
669    Level: intermediate
670 
671    Notes:
672    See the chapter in the users manual on performance for more details
673 
674    Do not malloc or free dnz and onz that is handled internally by these routines
675 
676   Concepts: preallocation^Matrix
677 
678 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
679           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
680 M*/
681 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
682 { int __i; \
683   for (__i=0; __i<nc; __i++) {\
684     if (cols[__i] >= __end) onz[row - __rstart]++; \
685     else if (cols[__i] >= row) dnz[row - __rstart]++;\
686   }\
687 }
688 
689 /*MC
690    MatPreallocFinalize - Ends the block of code that will count the number of nonzeros per
691        row in a matrix providing the data that one can use to correctly preallocate the matrix.
692 
693    Synopsis:
694    int MatPreallocateFinalize(int *dnz, int *onz)
695 
696    Collective on MPI_Comm
697 
698    Input Parameters:
699 +  dnz - the array that will be passed to the matrix preallocation routines
700 -  ozn - the other array passed to the matrix preallocation routines
701 
702 
703    Level: intermediate
704 
705    Notes:
706    See the chapter in the users manual on performance for more details
707 
708    Do not malloc or free dnz and onz that is handled internally by these routines
709 
710   Concepts: preallocation^Matrix
711 
712 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
713           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
714 M*/
715 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);}
716 
717 
718 
719 /* Routines unique to particular data structures */
720 EXTERN int MatShellGetContext(Mat,void **);
721 
722 EXTERN int MatBDiagGetData(Mat,int*,int*,int*[],int*[],PetscScalar***);
723 EXTERN int MatSeqAIJSetColumnIndices(Mat,int[]);
724 EXTERN int MatSeqBAIJSetColumnIndices(Mat,int[]);
725 EXTERN int MatCreateSeqAIJWithArrays(MPI_Comm,int,int,int[],int[],PetscScalar[],Mat*);
726 
727 EXTERN int MatSeqBAIJSetPreallocation(Mat,int,int,const int[]);
728 EXTERN int MatSeqSBAIJSetPreallocation(Mat,int,int,const int[]);
729 EXTERN int MatSeqAIJSetPreallocation(Mat,int,const int[]);
730 EXTERN int MatSeqDensePreallocation(Mat,PetscScalar[]);
731 EXTERN int MatSeqBDiagSetPreallocation(Mat,int,int,const int[],PetscScalar*[]);
732 EXTERN int MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
733 
734 EXTERN int MatMPIBAIJSetPreallocation(Mat,int,int,const int[],int,const int[]);
735 EXTERN int MatMPISBAIJSetPreallocation(Mat,int,int,const int[],int,const int[]);
736 EXTERN int MatMPIAIJSetPreallocation(Mat,int,const int[],int,const int[]);
737 EXTERN int MatMPIDensePreallocation(Mat,PetscScalar[]);
738 EXTERN int MatMPIBDiagSetPreallocation(Mat,int,int,const int[],PetscScalar*[]);
739 EXTERN int MatMPIAdjSetPreallocation(Mat,int[],int[],int[]);
740 EXTERN int MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
741 EXTERN int MatMPIRowbsSetPreallocation(Mat,int,const int[]);
742 EXTERN int MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,int*[]);
743 EXTERN int MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,int*[]);
744 EXTERN int MatAdicSetLocalFunction(Mat,void (*)(void));
745 
746 EXTERN int MatSeqDenseSetLDA(Mat,int);
747 
748 EXTERN int MatStoreValues(Mat);
749 EXTERN int MatRetrieveValues(Mat);
750 
751 EXTERN int MatDAADSetCtx(Mat,void*);
752 
753 /*
754   These routines are not usually accessed directly, rather solving is
755   done through the SLES, KSP and PC interfaces.
756 */
757 
758 /*E
759     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
760        with an optional dynamic library name, for example
761        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
762 
763    Level: beginner
764 
765 .seealso: MatGetOrdering()
766 E*/
767 typedef char* MatOrderingType;
768 #define MATORDERING_NATURAL   "natural"
769 #define MATORDERING_ND        "nd"
770 #define MATORDERING_1WD       "1wd"
771 #define MATORDERING_RCM       "rcm"
772 #define MATORDERING_QMD       "qmd"
773 #define MATORDERING_ROWLENGTH "rowlength"
774 #define MATORDERING_DSC_ND    "dsc_nd"
775 #define MATORDERING_DSC_MMD   "dsc_mmd"
776 #define MATORDERING_DSC_MDF   "dsc_mdf"
777 #define MATORDERING_CONSTRAINED "constrained"
778 #define MATORDERING_IDENTITY  "identity"
779 #define MATORDERING_REVERSE   "reverse"
780 
781 EXTERN int MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
782 EXTERN int MatOrderingRegister(char*,char*,char*,int(*)(Mat,MatOrderingType,IS*,IS*));
783 
784 /*MC
785    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the
786                                matrix package.
787 
788    Synopsis:
789    int MatOrderingRegisterDynamic(char *name_ordering,char *path,char *name_create,int (*routine_create)(MatOrdering))
790 
791    Not Collective
792 
793    Input Parameters:
794 +  sname - name of ordering (for example MATORDERING_ND)
795 .  path - location of library where creation routine is
796 .  name - name of function that creates the ordering type,a string
797 -  function - function pointer that creates the ordering
798 
799    Level: developer
800 
801    If dynamic libraries are used, then the fourth input argument (function)
802    is ignored.
803 
804    Sample usage:
805 .vb
806    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
807                "MyOrder",MyOrder);
808 .ve
809 
810    Then, your partitioner can be chosen with the procedural interface via
811 $     MatOrderingSetType(part,"my_order)
812    or at runtime via the option
813 $     -pc_ilu_mat_ordering_type my_order
814 $     -pc_lu_mat_ordering_type my_order
815 
816    ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
817 
818 .keywords: matrix, ordering, register
819 
820 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
821 M*/
822 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
823 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
824 #else
825 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
826 #endif
827 
828 EXTERN int        MatOrderingRegisterDestroy(void);
829 EXTERN int        MatOrderingRegisterAll(char*);
830 extern PetscTruth MatOrderingRegisterAllCalled;
831 extern PetscFList MatOrderingList;
832 
833 EXTERN int MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
834 
835 /*S
836    MatFactorInfo - Data based into the matrix factorization routines
837 
838    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE
839 
840    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
841 
842    Level: developer
843 
844 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor()
845 
846 S*/
847 typedef struct {
848   PetscReal     damping;        /* scaling of identity added to matrix to prevent zero pivots */
849   PetscReal     shift;          /* if true, shift until positive pivots */
850   PetscReal     shift_fraction; /* record shift fraction taken */
851   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
852   PetscReal     dt;             /* drop tolerance */
853   PetscReal     dtcol;          /* tolerance for pivoting */
854   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
855   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
856   PetscReal     levels;         /* ICC/ILU(levels) */
857   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
858                                    factorization may be faster if do not pivot */
859   PetscReal     zeropivot;      /* pivot is called zero if less than this */
860 } MatFactorInfo;
861 
862 EXTERN int MatCholeskyFactor(Mat,IS,MatFactorInfo*);
863 EXTERN int MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
864 EXTERN int MatCholeskyFactorNumeric(Mat,Mat*);
865 EXTERN int MatLUFactor(Mat,IS,IS,MatFactorInfo*);
866 EXTERN int MatILUFactor(Mat,IS,IS,MatFactorInfo*);
867 EXTERN int MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
868 EXTERN int MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
869 EXTERN int MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
870 EXTERN int MatICCFactor(Mat,IS,MatFactorInfo*);
871 EXTERN int MatLUFactorNumeric(Mat,Mat*);
872 EXTERN int MatILUDTFactor(Mat,MatFactorInfo*,IS,IS,Mat *);
873 EXTERN int MatGetInertia(Mat,int*,int*,int*);
874 EXTERN int MatSolve(Mat,Vec,Vec);
875 EXTERN int MatForwardSolve(Mat,Vec,Vec);
876 EXTERN int MatBackwardSolve(Mat,Vec,Vec);
877 EXTERN int MatSolveAdd(Mat,Vec,Vec,Vec);
878 EXTERN int MatSolveTranspose(Mat,Vec,Vec);
879 EXTERN int MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
880 EXTERN int MatSolves(Mat,Vecs,Vecs);
881 
882 EXTERN int MatSetUnfactored(Mat);
883 
884 /*E
885     MatSORType - What type of (S)SOR to perform
886 
887     Level: beginner
888 
889    May be bitwise ORd together
890 
891    Any additions/changes here MUST also be made in include/finclude/petscmat.h
892 
893    MatSORType may be bitwise ORd together, so do not change the numbers
894 
895 .seealso: MatRelax()
896 E*/
897 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
898               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
899               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
900               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
901 EXTERN int MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,int,int,Vec);
902 
903 /*
904     These routines are for efficiently computing Jacobians via finite differences.
905 */
906 
907 /*E
908     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
909        with an optional dynamic library name, for example
910        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
911 
912    Level: beginner
913 
914 .seealso: MatGetColoring()
915 E*/
916 typedef char* MatColoringType;
917 #define MATCOLORING_NATURAL "natural"
918 #define MATCOLORING_SL      "sl"
919 #define MATCOLORING_LF      "lf"
920 #define MATCOLORING_ID      "id"
921 
922 EXTERN int MatGetColoring(Mat,MatColoringType,ISColoring*);
923 EXTERN int MatColoringRegister(char*,char*,char*,int(*)(Mat,MatColoringType,ISColoring *));
924 
925 /*MC
926    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
927                                matrix package.
928 
929    Synopsis:
930    int MatColoringRegisterDynamic(char *name_coloring,char *path,char *name_create,int (*routine_create)(MatColoring))
931 
932    Not Collective
933 
934    Input Parameters:
935 +  sname - name of Coloring (for example MATCOLORING_SL)
936 .  path - location of library where creation routine is
937 .  name - name of function that creates the Coloring type, a string
938 -  function - function pointer that creates the coloring
939 
940    Level: developer
941 
942    If dynamic libraries are used, then the fourth input argument (function)
943    is ignored.
944 
945    Sample usage:
946 .vb
947    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
948                "MyColor",MyColor);
949 .ve
950 
951    Then, your partitioner can be chosen with the procedural interface via
952 $     MatColoringSetType(part,"my_color")
953    or at runtime via the option
954 $     -mat_coloring_type my_color
955 
956    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
957 
958 .keywords: matrix, Coloring, register
959 
960 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
961 M*/
962 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
963 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
964 #else
965 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
966 #endif
967 
968 EXTERN int        MatColoringRegisterAll(char *);
969 extern PetscTruth MatColoringRegisterAllCalled;
970 EXTERN int        MatColoringRegisterDestroy(void);
971 EXTERN int        MatColoringPatch(Mat,int,int,const ISColoringValue[],ISColoring*);
972 
973 /*S
974      MatFDColoring - Object for computing a sparse Jacobian via finite differences
975         and coloring
976 
977    Level: beginner
978 
979   Concepts: coloring, sparse Jacobian, finite differences
980 
981 .seealso:  MatFDColoringCreate()
982 S*/
983 typedef struct _p_MatFDColoring *MatFDColoring;
984 
985 EXTERN int MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
986 EXTERN int MatFDColoringDestroy(MatFDColoring);
987 EXTERN int MatFDColoringView(MatFDColoring,PetscViewer);
988 EXTERN int MatFDColoringSetFunction(MatFDColoring,int (*)(void),void*);
989 EXTERN int MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
990 EXTERN int MatFDColoringSetFrequency(MatFDColoring,int);
991 EXTERN int MatFDColoringGetFrequency(MatFDColoring,int*);
992 EXTERN int MatFDColoringSetFromOptions(MatFDColoring);
993 EXTERN int MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
994 EXTERN int MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
995 EXTERN int MatFDColoringSetRecompute(MatFDColoring);
996 EXTERN int MatFDColoringSetF(MatFDColoring,Vec);
997 EXTERN int MatFDColoringGetPerturbedColumns(MatFDColoring,int*,int*[]);
998 /*
999     These routines are for partitioning matrices: currently used only
1000   for adjacency matrix, MatCreateMPIAdj().
1001 */
1002 
1003 /*S
1004      MatPartitioning - Object for managing the partitioning of a matrix or graph
1005 
1006    Level: beginner
1007 
1008   Concepts: partitioning
1009 
1010 .seealso:  MatPartitioningCreate(), MatPartitioningType
1011 S*/
1012 typedef struct _p_MatPartitioning *MatPartitioning;
1013 
1014 /*E
1015     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1016        with an optional dynamic library name, for example
1017        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1018 
1019    Level: beginner
1020 
1021 .seealso: MatPartitioningCreate(), MatPartitioning
1022 E*/
1023 typedef char* MatPartitioningType;
1024 #define MAT_PARTITIONING_CURRENT  "current"
1025 #define MAT_PARTITIONING_PARMETIS "parmetis"
1026 
1027 EXTERN int MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1028 EXTERN int MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1029 EXTERN int MatPartitioningSetNParts(MatPartitioning,int);
1030 EXTERN int MatPartitioningSetAdjacency(MatPartitioning,Mat);
1031 EXTERN int MatPartitioningSetVertexWeights(MatPartitioning,const int[]);
1032 EXTERN int MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1033 EXTERN int MatPartitioningApply(MatPartitioning,IS*);
1034 EXTERN int MatPartitioningDestroy(MatPartitioning);
1035 
1036 EXTERN int MatPartitioningRegister(char*,char*,char*,int(*)(MatPartitioning));
1037 
1038 /*MC
1039    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1040    matrix package.
1041 
1042    Synopsis:
1043    int MatPartitioningRegisterDynamic(char *name_partitioning,char *path,char *name_create,int (*routine_create)(MatPartitioning))
1044 
1045    Not Collective
1046 
1047    Input Parameters:
1048 +  sname - name of partitioning (for example MAT_PARTITIONING_CURRENT) or parmetis
1049 .  path - location of library where creation routine is
1050 .  name - name of function that creates the partitioning type, a string
1051 -  function - function pointer that creates the partitioning type
1052 
1053    Level: developer
1054 
1055    If dynamic libraries are used, then the fourth input argument (function)
1056    is ignored.
1057 
1058    Sample usage:
1059 .vb
1060    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1061                "MyPartCreate",MyPartCreate);
1062 .ve
1063 
1064    Then, your partitioner can be chosen with the procedural interface via
1065 $     MatPartitioningSetType(part,"my_part")
1066    or at runtime via the option
1067 $     -mat_partitioning_type my_part
1068 
1069    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
1070 
1071 .keywords: matrix, partitioning, register
1072 
1073 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1074 M*/
1075 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1076 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1077 #else
1078 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1079 #endif
1080 
1081 EXTERN int        MatPartitioningRegisterAll(char *);
1082 extern PetscTruth MatPartitioningRegisterAllCalled;
1083 EXTERN int        MatPartitioningRegisterDestroy(void);
1084 
1085 EXTERN int MatPartitioningView(MatPartitioning,PetscViewer);
1086 EXTERN int MatPartitioningSetFromOptions(MatPartitioning);
1087 EXTERN int MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1088 
1089 EXTERN int MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1090 
1091 /*
1092     If you add entries here you must also add them to finclude/petscmat.h
1093 */
1094 typedef enum { MATOP_SET_VALUES=0,
1095                MATOP_GET_ROW=1,
1096                MATOP_RESTORE_ROW=2,
1097                MATOP_MULT=3,
1098                MATOP_MULT_ADD=4,
1099                MATOP_MULT_TRANSPOSE=5,
1100                MATOP_MULT_TRANSPOSE_ADD=6,
1101                MATOP_SOLVE=7,
1102                MATOP_SOLVE_ADD=8,
1103                MATOP_SOLVE_TRANSPOSE=9,
1104                MATOP_SOLVE_TRANSPOSE_ADD=10,
1105                MATOP_LUFACTOR=11,
1106                MATOP_CHOLESKYFACTOR=12,
1107                MATOP_RELAX=13,
1108                MATOP_TRANSPOSE=14,
1109                MATOP_GETINFO=15,
1110                MATOP_EQUAL=16,
1111                MATOP_GET_DIAGONAL=17,
1112                MATOP_DIAGONAL_SCALE=18,
1113                MATOP_NORM=19,
1114                MATOP_ASSEMBLY_BEGIN=20,
1115                MATOP_ASSEMBLY_END=21,
1116                MATOP_COMPRESS=22,
1117                MATOP_SET_OPTION=23,
1118                MATOP_ZERO_ENTRIES=24,
1119                MATOP_ZERO_ROWS=25,
1120                MATOP_LUFACTOR_SYMBOLIC=26,
1121                MATOP_LUFACTOR_NUMERIC=27,
1122                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
1123                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
1124                MATOP_SETUP_PREALLOCATION=30,
1125                MATOP_ILUFACTOR_SYMBOLIC=31,
1126                MATOP_ICCFACTOR_SYMBOLIC=32,
1127                MATOP_GET_ARRAY=33,
1128                MATOP_RESTORE_ARRAY=34,
1129                MATOP_DUPLCIATE=35,
1130                MATOP_FORWARD_SOLVE=36,
1131                MATOP_BACKWARD_SOLVE=37,
1132                MATOP_ILUFACTOR=38,
1133                MATOP_ICCFACTOR=39,
1134                MATOP_AXPY=40,
1135                MATOP_GET_SUBMATRICES=41,
1136                MATOP_INCREASE_OVERLAP=42,
1137                MATOP_GET_VALUES=43,
1138                MATOP_COPY=44,
1139                MATOP_PRINT_HELP=45,
1140                MATOP_SCALE=46,
1141                MATOP_SHIFT=47,
1142                MATOP_DIAGONAL_SHIFT=48,
1143                MATOP_ILUDT_FACTOR=49,
1144                MATOP_GET_BLOCK_SIZE=50,
1145                MATOP_GET_ROW_IJ=51,
1146                MATOP_RESTORE_ROW_IJ=52,
1147                MATOP_GET_COLUMN_IJ=53,
1148                MATOP_RESTORE_COLUMN_IJ=54,
1149                MATOP_FDCOLORING_CREATE=55,
1150                MATOP_COLORING_PATCH=56,
1151                MATOP_SET_UNFACTORED=57,
1152                MATOP_PERMUTE=58,
1153                MATOP_SET_VALUES_BLOCKED=59,
1154                MATOP_GET_SUBMATRIX=60,
1155                MATOP_DESTROY=61,
1156                MATOP_VIEW=62,
1157                MATOP_GET_MAPS=63,
1158                MATOP_USE_SCALED_FORM=64,
1159                MATOP_SCALE_SYSTEM=65,
1160                MATOP_UNSCALE_SYSTEM=66,
1161                MATOP_SET_LOCAL_TO_GLOBAL_MAPPING=67,
1162                MATOP_SET_VALUES_LOCAL=68,
1163                MATOP_ZERO_ROWS_LOCAL=69,
1164                MATOP_GET_ROW_MAX=70,
1165                MATOP_CONVERT=71,
1166                MATOP_SET_COLORING=72,
1167                MATOP_SET_VALUES_ADIC=73,
1168                MATOP_SET_VALUES_ADIFOR=74,
1169                MATOP_FD_COLORING_APPLY=75,
1170                MATOP_SET_FROM_OPTIONS=76,
1171                MATOP_MULT_CONSTRAINED=77,
1172                MATOP_MULT_TRANSPOSE_CONSTRAINED=78,
1173                MATOP_ILU_FACTOR_SYMBOLIC_CONSTRAINED=79,
1174                MATOP_PERMUTE_SPARSIFY=80,
1175                MATOP_MULT_MULTIPLE=81,
1176                MATOP_SOLVE_MULTIPLE=82
1177              } MatOperation;
1178 EXTERN int MatHasOperation(Mat,MatOperation,PetscTruth*);
1179 EXTERN int MatShellSetOperation(Mat,MatOperation,void(*)(void));
1180 EXTERN int MatShellGetOperation(Mat,MatOperation,void(**)(void));
1181 EXTERN int MatShellSetContext(Mat,void*);
1182 
1183 /*
1184    Codes for matrices stored on disk. By default they are
1185  stored in a universal format. By changing the format with
1186  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
1187  be stored in a way natural for the matrix, for example dense matrices
1188  would be stored as dense. Matrices stored this way may only be
1189  read into matrices of the same time.
1190 */
1191 #define MATRIX_BINARY_FORMAT_DENSE -1
1192 
1193 EXTERN int MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1194 EXTERN int MatSeqAIJGetInodeSizes(Mat,int *,int *[],int *);
1195 EXTERN int MatMPIRowbsGetColor(Mat,ISColoring *);
1196 
1197 /*S
1198      MatNullSpace - Object that removes a null space from a vector, i.e.
1199          orthogonalizes the vector to a subsapce
1200 
1201    Level: advanced
1202 
1203   Concepts: matrix; linear operator, null space
1204 
1205   Users manual sections:
1206 .   sec_singular
1207 
1208 .seealso:  MatNullSpaceCreate()
1209 S*/
1210 typedef struct _p_MatNullSpace* MatNullSpace;
1211 
1212 EXTERN int MatNullSpaceCreate(MPI_Comm,int,int,const Vec[],MatNullSpace*);
1213 EXTERN int MatNullSpaceDestroy(MatNullSpace);
1214 EXTERN int MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1215 EXTERN int MatNullSpaceAttach(Mat,MatNullSpace);
1216 EXTERN int MatNullSpaceTest(MatNullSpace,Mat);
1217 
1218 EXTERN int MatReorderingSeqSBAIJ(Mat A,IS isp);
1219 EXTERN int MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1220 EXTERN int MatSeqSBAIJSetColumnIndices(Mat,int *);
1221 
1222 EXTERN int MatMatMult(Mat A,Mat B, Mat *C);
1223 EXTERN int MatMatMultSymbolic(Mat A,Mat B,Mat *C);
1224 EXTERN int MatMatMultNumeric(Mat A,Mat B,Mat C);
1225 
1226 EXTERN int MatCreateMAIJ(Mat,int,Mat*);
1227 EXTERN int MatMAIJRedimension(Mat,int,Mat*);
1228 EXTERN int MatMAIJGetAIJ(Mat,Mat*);
1229 
1230 EXTERN int MatComputeExplicitOperator(Mat,Mat*);
1231 
1232 EXTERN int MatESISetType(Mat,char*);
1233 EXTERN int MatESISetFromOptions(Mat);
1234 
1235 EXTERN int MatDiagonalScaleLocal(Mat,Vec);
1236 
1237 EXTERN int PetscViewerMathematicaPutMatrix(PetscViewer, int, int, PetscReal *);
1238 EXTERN int PetscViewerMathematicaPutCSRMatrix(PetscViewer, int, int, int *, int *, PetscReal *);
1239 
1240 EXTERN int MatUseSpooles_SeqAIJ(Mat);
1241 EXTERN int MatUseUMFPACK_SeqAIJ(Mat);
1242 EXTERN int MatUseSuperLU_SeqAIJ(Mat);
1243 EXTERN int MatUseEssl_SeqAIJ(Mat);
1244 EXTERN int MatUseLUSOL_SeqAIJ(Mat);
1245 EXTERN int MatUseMatlab_SeqAIJ(Mat);
1246 EXTERN int MatUseDXML_SeqAIJ(Mat);
1247 EXTERN int MatUsePETSc_SeqAIJ(Mat);
1248 EXTERN int MatUseSuperLU_DIST_MPIAIJ(Mat);
1249 EXTERN int MatUseSpooles_MPIAIJ(Mat);
1250 EXTERN int MatUseSpooles_SeqSBAIJ(Mat);
1251 EXTERN int MatUseSpooles_MPISBAIJ(Mat);
1252 EXTERN int MatUseMUMPS_MPIAIJ(Mat);
1253 
1254 #endif
1255 
1256 
1257 
1258