xref: /petsc/include/petscmat.h (revision 201f5f94dcee918e9f0ce123f34f0acb7c97f68b)
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 MATSUPERLUDIST     "superludist"
57 #define MATUMFPACK         "umfpack"
58 #define MATESSL            "essl"
59 #define MATLUSOL           "lusol"
60 typedef char* MatType;
61 
62 #define MAT_SER_SEQAIJ_BINARY "seqaij_binary"
63 #define MAT_SER_MPIAIJ_BINARY "mpiaij_binary"
64 typedef char *MatSerializeType;
65 
66 /* Logging support */
67 #define    MAT_FILE_COOKIE 1211216    /* used to indicate matrices in binary files */
68 extern int MAT_COOKIE;
69 extern int MATSNESMFCTX_COOKIE;
70 extern int MAT_FDCOLORING_COOKIE;
71 extern int MAT_PARTITIONING_COOKIE;
72 extern int MAT_NULLSPACE_COOKIE;
73 extern int MAT_Mult, MAT_MultMatrixFree, MAT_Mults, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
74 extern int MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_Solves, MAT_SolveAdd, MAT_SolveTranspose;
75 extern int MAT_SolveTransposeAdd, MAT_Relax, MAT_ForwardSolve, MAT_BackwardSolve, MAT_LUFactor, MAT_LUFactorSymbolic;
76 extern int MAT_LUFactorNumeric, MAT_CholeskyFactor, MAT_CholeskyFactorSymbolic, MAT_CholeskyFactorNumeric, MAT_ILUFactor;
77 extern int MAT_ILUFactorSymbolic, MAT_ICCFactorSymbolic, MAT_Copy, MAT_Convert, MAT_Scale, MAT_AssemblyBegin;
78 extern int MAT_AssemblyEnd, MAT_SetValues, MAT_GetValues, MAT_GetRow, MAT_GetSubMatrices, MAT_GetColoring, MAT_GetOrdering;
79 extern int MAT_IncreaseOverlap, MAT_Partitioning, MAT_ZeroEntries, MAT_Load, MAT_View, MAT_AXPY, MAT_FDColoringCreate;
80 extern int MAT_FDColoringApply, MAT_Transpose, MAT_FDColoringFunction;
81 
82 EXTERN int MatInitializePackage(char *);
83 
84 EXTERN int MatCreate(MPI_Comm,int,int,int,int,Mat*);
85 EXTERN int MatSetType(Mat,MatType);
86 EXTERN int MatSetFromOptions(Mat);
87 EXTERN int MatSetUpPreallocation(Mat);
88 EXTERN int MatRegisterAll(char*);
89 EXTERN int MatRegister(char*,char*,char*,int(*)(Mat));
90 EXTERN int MatSerializeRegister(const char [], const char [], const char [], int (*)(MPI_Comm, Mat *, PetscViewer, PetscTruth));
91 
92 /*MC
93    MatRegisterDynamic - Adds a new matrix type
94 
95    Synopsis:
96    int MatRegisterDynamic(char *name,char *path,char *name_create,int (*routine_create)(Mat))
97 
98    Not Collective
99 
100    Input Parameters:
101 +  name - name of a new user-defined matrix type
102 .  path - path (either absolute or relative) the library containing this solver
103 .  name_create - name of routine to create method context
104 -  routine_create - routine to create method context
105 
106    Notes:
107    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
108 
109    If dynamic libraries are used, then the fourth input argument (routine_create)
110    is ignored.
111 
112    Sample usage:
113 .vb
114    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
115                "MyMatCreate",MyMatCreate);
116 .ve
117 
118    Then, your solver can be chosen with the procedural interface via
119 $     MatSetType(Mat,"my_mat")
120    or at runtime via the option
121 $     -mat_type my_mat
122 
123    Level: advanced
124 
125    Notes: ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
126          If your function is not being put into a shared library then use VecRegister() instead
127 
128 .keywords: Mat, register
129 
130 .seealso: MatRegisterAll(), MatRegisterDestroy()
131 
132 M*/
133 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
134 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
135 #else
136 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
137 #endif
138 
139 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
140 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,0)
141 #else
142 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,d)
143 #endif
144 
145 extern PetscTruth MatRegisterAllCalled;
146 extern PetscFList MatList;
147 
148 EXTERN PetscFList MatSerializeList;
149 EXTERN int MatSerializeRegisterAll(const char []);
150 EXTERN int MatSerializeRegisterDestroy(void);
151 EXTERN int MatSerializeRegisterAllCalled;
152 EXTERN int MatSerialize(MPI_Comm, Mat *, PetscViewer, PetscTruth);
153 EXTERN int MatSetSerializeType(Mat, MatSerializeType);
154 
155 EXTERN int MatCreateSeqDense(MPI_Comm,int,int,PetscScalar[],Mat*);
156 EXTERN int MatCreateMPIDense(MPI_Comm,int,int,int,int,PetscScalar[],Mat*);
157 EXTERN int MatCreateSeqAIJ(MPI_Comm,int,int,int,const int[],Mat*);
158 EXTERN int MatCreateMPIAIJ(MPI_Comm,int,int,int,int,int,const int[],int,const int[],Mat*);
159 EXTERN int MatCreateMPIRowbs(MPI_Comm,int,int,int,const int[],Mat*);
160 EXTERN int MatCreateSeqBDiag(MPI_Comm,int,int,int,int,const int[],PetscScalar*[],Mat*);
161 EXTERN int MatCreateMPIBDiag(MPI_Comm,int,int,int,int,int,const int[],PetscScalar*[],Mat*);
162 EXTERN int MatCreateSeqBAIJ(MPI_Comm,int,int,int,int,const int[],Mat*);
163 EXTERN int MatCreateMPIBAIJ(MPI_Comm,int,int,int,int,int,int,const int[],int,const int[],Mat*);
164 EXTERN int MatCreateMPIAdj(MPI_Comm,int,int,int[],int[],int[],Mat*);
165 EXTERN int MatCreateSeqSBAIJ(MPI_Comm,int,int,int,int,const int[],Mat*);
166 EXTERN int MatCreateMPISBAIJ(MPI_Comm,int,int,int,int,int,int,const int[],int,const int[],Mat*);
167 EXTERN int MatCreateShell(MPI_Comm,int,int,int,int,void *,Mat*);
168 EXTERN int MatCreateAdic(MPI_Comm,int,int,int,int,int,void (*)(void),Mat*);
169 EXTERN int MatCreateNormal(Mat,Mat*);
170 EXTERN int MatDestroy(Mat);
171 
172 EXTERN int MatPrintHelp(Mat);
173 EXTERN int MatGetPetscMaps(Mat,PetscMap*,PetscMap*);
174 
175 /* ------------------------------------------------------------*/
176 EXTERN int MatSetValues(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
177 EXTERN int MatSetValuesBlocked(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
178 
179 /*S
180      MatStencil - Data structure (C struct) for storing information about a single row or
181         column of a matrix as index on an associated grid.
182 
183    Level: beginner
184 
185   Concepts: matrix; linear operator
186 
187 .seealso:  MatSetValuesStencil(), MatSetStencil()
188 S*/
189 typedef struct {
190   int k,j,i,c;
191 } MatStencil;
192 
193 EXTERN int MatSetValuesStencil(Mat,int,const MatStencil[],int,const MatStencil[],const PetscScalar[],InsertMode);
194 EXTERN int MatSetValuesBlockedStencil(Mat,int,const MatStencil[],int,const MatStencil[],const PetscScalar[],InsertMode);
195 EXTERN int MatSetStencil(Mat,int,const int[],const int[],int);
196 
197 EXTERN int MatSetColoring(Mat,ISColoring);
198 EXTERN int MatSetValuesAdic(Mat,void*);
199 EXTERN int MatSetValuesAdifor(Mat,int,void*);
200 
201 /*E
202     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
203      to continue to add values to it
204 
205     Level: beginner
206 
207 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
208 E*/
209 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
210 EXTERN int MatAssemblyBegin(Mat,MatAssemblyType);
211 EXTERN int MatAssemblyEnd(Mat,MatAssemblyType);
212 EXTERN int MatAssembled(Mat,PetscTruth*);
213 
214 /*MC
215    MatSetValue - Set a single entry into a matrix.
216 
217    Synopsis:
218    int MatSetValue(Mat m,int row,int col,PetscScalar value,InsertMode mode);
219 
220    Not collective
221 
222    Input Parameters:
223 +  m - the matrix
224 .  row - the row location of the entry
225 .  col - the column location of the entry
226 .  value - the value to insert
227 -  mode - either INSERT_VALUES or ADD_VALUES
228 
229    Notes:
230    For efficiency one should use MatSetValues() and set several or many
231    values simultaneously if possible.
232 
233    Note that MatSetValue() does NOT return an error code (since this
234    is checked internally).
235 
236    Level: beginner
237 
238 .seealso: MatSetValues(), MatSetValueLocal()
239 M*/
240 #define MatSetValue(v,i,j,va,mode) \
241 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
242   _ierr = MatSetValues(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
243 }
244 
245 #define MatGetValue(v,i,j,va) \
246 0; {int _ierr,_row = i,_col = j; \
247   _ierr = MatGetValues(v,1,&_row,1,&_col,&va);CHKERRQ(_ierr); \
248 }
249 
250 #define MatSetValueLocal(v,i,j,va,mode) \
251 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
252   _ierr = MatSetValuesLocal(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
253 }
254 
255 /*E
256     MatOption - Options that may be set for a matrix and its behavior or storage
257 
258     Level: beginner
259 
260    Any additions/changes here MUST also be made in include/finclude/petscmat.h
261 
262 .seealso: MatSetOption()
263 E*/
264 typedef enum {MAT_ROW_ORIENTED=1,MAT_COLUMN_ORIENTED=2,MAT_ROWS_SORTED=4,
265               MAT_COLUMNS_SORTED=8,MAT_NO_NEW_NONZERO_LOCATIONS=16,
266               MAT_YES_NEW_NONZERO_LOCATIONS=32,MAT_SYMMETRIC=64,
267               MAT_STRUCTURALLY_SYMMETRIC=65,MAT_NO_NEW_DIAGONALS=66,
268               MAT_YES_NEW_DIAGONALS=67,MAT_INODE_LIMIT_1=68,MAT_INODE_LIMIT_2=69,
269               MAT_INODE_LIMIT_3=70,MAT_INODE_LIMIT_4=71,MAT_INODE_LIMIT_5=72,
270               MAT_IGNORE_OFF_PROC_ENTRIES=73,MAT_ROWS_UNSORTED=74,
271               MAT_COLUMNS_UNSORTED=75,MAT_NEW_NONZERO_LOCATION_ERR=76,
272               MAT_NEW_NONZERO_ALLOCATION_ERR=77,MAT_USE_HASH_TABLE=78,
273               MAT_KEEP_ZEROED_ROWS=79,MAT_IGNORE_ZERO_ENTRIES=80,MAT_USE_INODES=81,
274               MAT_DO_NOT_USE_INODES=82} MatOption;
275 EXTERN int MatSetOption(Mat,MatOption);
276 EXTERN int MatGetType(Mat,MatType*);
277 
278 EXTERN int MatGetValues(Mat,int,const int[],int,const int[],PetscScalar[]);
279 EXTERN int MatGetRow(Mat,int,int *,int *[],PetscScalar*[]);
280 EXTERN int MatRestoreRow(Mat,int,int *,int *[],PetscScalar*[]);
281 EXTERN int MatGetColumn(Mat,int,int *,int *[],PetscScalar*[]);
282 EXTERN int MatRestoreColumn(Mat,int,int *,int *[],PetscScalar*[]);
283 EXTERN int MatGetColumnVector(Mat,Vec,int);
284 EXTERN int MatGetArray(Mat,PetscScalar *[]);
285 EXTERN int MatRestoreArray(Mat,PetscScalar *[]);
286 EXTERN int MatGetBlockSize(Mat,int *);
287 
288 EXTERN int MatMult(Mat,Vec,Vec);
289 EXTERN int MatMultAdd(Mat,Vec,Vec,Vec);
290 EXTERN int MatMultTranspose(Mat,Vec,Vec);
291 EXTERN int MatIsSymmetric(Mat,Mat,PetscTruth*);
292 EXTERN int MatMultTransposeAdd(Mat,Vec,Vec,Vec);
293 EXTERN int MatMultConstrained(Mat,Vec,Vec);
294 EXTERN int MatMultTransposeConstrained(Mat,Vec,Vec);
295 
296 /*E
297     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
298   its numerical values copied over or just its nonzero structure.
299 
300     Level: beginner
301 
302    Any additions/changes here MUST also be made in include/finclude/petscmat.h
303 
304 .seealso: MatDuplicate()
305 E*/
306 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption;
307 
308 EXTERN int MatConvertRegister(char*,char*,char*,int (*)(Mat,MatType,Mat*));
309 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
310 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0)
311 #else
312 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d)
313 #endif
314 EXTERN int        MatConvertRegisterAll(char*);
315 EXTERN int        MatConvertRegisterDestroy(void);
316 extern PetscTruth MatConvertRegisterAllCalled;
317 extern PetscFList MatConvertList;
318 EXTERN int        MatConvert(Mat,MatType,Mat*);
319 EXTERN int        MatDuplicate(Mat,MatDuplicateOption,Mat*);
320 
321 /*E
322     MatStructure - Indicates if the matrix has the same nonzero structure
323 
324     Level: beginner
325 
326    Any additions/changes here MUST also be made in include/finclude/petscmat.h
327 
328 .seealso: MatCopy(), SLESSetOperators(), PCSetOperators()
329 E*/
330 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
331 
332 EXTERN int MatCopy(Mat,Mat,MatStructure);
333 EXTERN int MatView(Mat,PetscViewer);
334 
335 EXTERN int MatLoadRegister(char*,char*,char*,int (*)(PetscViewer,MatType,Mat*));
336 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
337 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,0)
338 #else
339 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,d)
340 #endif
341 EXTERN int        MatLoadRegisterAll(char*);
342 EXTERN int        MatLoadRegisterDestroy(void);
343 extern PetscTruth MatLoadRegisterAllCalled;
344 extern PetscFList MatLoadList;
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 #endif
1252 
1253 
1254 
1255