xref: /petsc/include/petscmat.h (revision efcf0fc353b705cc10d937cc67ff6a314bf622fa)
1 /* $Id: petscmat.h,v 1.228 2001/09/07 20:09:08 bsmith Exp $ */
2 /*
3      Include file for the matrix component of PETSc
4 */
5 #ifndef __PETSCMAT_H
6 #define __PETSCMAT_H
7 #include "petscvec.h"
8 PETSC_EXTERN_CXX_BEGIN
9 
10 /*S
11      Mat - Abstract PETSc matrix object
12 
13    Level: beginner
14 
15   Concepts: matrix; linear operator
16 
17 .seealso:  MatCreate(), MatType, MatSetType()
18 S*/
19 typedef struct _p_Mat*           Mat;
20 
21 /*E
22     MatType - String with the name of a PETSc matrix or the creation function
23        with an optional dynamic library name, for example
24        http://www.mcs.anl.gov/petsc/lib.a:mymatcreate()
25 
26    Level: beginner
27 
28 .seealso: MatSetType(), Mat
29 E*/
30 #define MATSAME            "same"
31 #define MATSEQMAIJ         "seqmaij"
32 #define MATMPIMAIJ         "mpimaij"
33 #define MATMAIJ            "maij"
34 #define MATIS              "is"
35 #define MATMPIROWBS        "mpirowbs"
36 #define MATSEQAIJ          "seqaij"
37 #define MATMPIAIJ          "mpiaij"
38 #define MATAIJ             "aij"
39 #define MATSHELL           "shell"
40 #define MATSEQBDIAG        "seqbdiag"
41 #define MATMPIBDIAG        "mpibdiag"
42 #define MATBDIAG           "bdiag"
43 #define MATSEQDENSE        "seqdense"
44 #define MATMPIDENSE        "mpidense"
45 #define MATDENSE           "dense"
46 #define MATSEQBAIJ         "seqbaij"
47 #define MATMPIBAIJ         "mpibaij"
48 #define MATBAIJ            "baij"
49 #define MATMPIADJ          "mpiadj"
50 #define MATSEQSBAIJ        "seqsbaij"
51 #define MATMPISBAIJ        "mpisbaij"
52 #define MATSBAIJ           "sbaij"
53 #define MATDAAD            "daad"
54 #define MATMFFD            "mffd"
55 #define MATESI             "esi"
56 #define MATPETSCESI        "petscesi"
57 #define MATNORMAL          "normal"
58 #define MATSEQAIJSPOOLES   "seqaijspooles"
59 #define MATMPIAIJSPOOLES   "mpiaijspooles"
60 #define MATSEQSBAIJSPOOLES "seqsbaijspooles"
61 #define MATMPISBAIJSPOOLES "mpisbaijspooles"
62 #define MATSUPERLU         "superlu"
63 #define MATSUPERLU_DIST    "superlu_dist"
64 #define MATUMFPACK         "umfpack"
65 #define MATESSL            "essl"
66 #define MATLUSOL           "lusol"
67 #define MATAIJMUMPS        "aijmumps"
68 #define MATSBAIJMUMPS      "sbaijmumps"
69 #define MATDSCPACK         "dscpack"
70 typedef char* MatType;
71 
72 #define MAT_SER_SEQAIJ_BINARY "seqaij_binary"
73 #define MAT_SER_MPIAIJ_BINARY "mpiaij_binary"
74 typedef char *MatSerializeType;
75 
76 /* Logging support */
77 #define    MAT_FILE_COOKIE 1211216    /* used to indicate matrices in binary files */
78 extern int MAT_COOKIE;
79 extern int MATSNESMFCTX_COOKIE;
80 extern int MAT_FDCOLORING_COOKIE;
81 extern int MAT_PARTITIONING_COOKIE;
82 extern int MAT_NULLSPACE_COOKIE;
83 extern int MAT_Mult, MAT_MultMatrixFree, MAT_Mults, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
84 extern int MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_Solves, MAT_SolveAdd, MAT_SolveTranspose;
85 extern int MAT_SolveTransposeAdd, MAT_Relax, MAT_ForwardSolve, MAT_BackwardSolve, MAT_LUFactor, MAT_LUFactorSymbolic;
86 extern int MAT_LUFactorNumeric, MAT_CholeskyFactor, MAT_CholeskyFactorSymbolic, MAT_CholeskyFactorNumeric, MAT_ILUFactor;
87 extern int MAT_ILUFactorSymbolic, MAT_ICCFactorSymbolic, MAT_Copy, MAT_Convert, MAT_Scale, MAT_AssemblyBegin;
88 extern int MAT_AssemblyEnd, MAT_SetValues, MAT_GetValues, MAT_GetRow, MAT_GetSubMatrices, MAT_GetColoring, MAT_GetOrdering;
89 extern int MAT_IncreaseOverlap, MAT_Partitioning, MAT_ZeroEntries, MAT_Load, MAT_View, MAT_AXPY, MAT_FDColoringCreate;
90 extern int MAT_FDColoringApply, MAT_Transpose, MAT_FDColoringFunction;
91 
92 EXTERN int MatInitializePackage(char *);
93 
94 EXTERN int MatCreate(MPI_Comm,int,int,int,int,Mat*);
95 EXTERN int MatSetType(Mat,MatType);
96 EXTERN int MatSetFromOptions(Mat);
97 EXTERN int MatSetUpPreallocation(Mat);
98 EXTERN int MatRegisterAll(char*);
99 EXTERN int MatRegister(char*,char*,char*,int(*)(Mat));
100 EXTERN int MatSerializeRegister(const char [], const char [], const char [], int (*)(MPI_Comm, Mat *, PetscViewer, PetscTruth));
101 
102 /*MC
103    MatRegisterDynamic - Adds a new matrix type
104 
105    Synopsis:
106    int MatRegisterDynamic(char *name,char *path,char *name_create,int (*routine_create)(Mat))
107 
108    Not Collective
109 
110    Input Parameters:
111 +  name - name of a new user-defined matrix type
112 .  path - path (either absolute or relative) the library containing this solver
113 .  name_create - name of routine to create method context
114 -  routine_create - routine to create method context
115 
116    Notes:
117    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
118 
119    If dynamic libraries are used, then the fourth input argument (routine_create)
120    is ignored.
121 
122    Sample usage:
123 .vb
124    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
125                "MyMatCreate",MyMatCreate);
126 .ve
127 
128    Then, your solver can be chosen with the procedural interface via
129 $     MatSetType(Mat,"my_mat")
130    or at runtime via the option
131 $     -mat_type my_mat
132 
133    Level: advanced
134 
135    Notes: ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
136          If your function is not being put into a shared library then use VecRegister() instead
137 
138 .keywords: Mat, register
139 
140 .seealso: MatRegisterAll(), MatRegisterDestroy()
141 
142 M*/
143 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
144 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
145 #else
146 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
147 #endif
148 
149 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
150 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,0)
151 #else
152 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,d)
153 #endif
154 
155 extern PetscTruth MatRegisterAllCalled;
156 extern PetscFList MatList;
157 
158 EXTERN PetscFList MatSerializeList;
159 EXTERN int MatSerializeRegisterAll(const char []);
160 EXTERN int MatSerializeRegisterDestroy(void);
161 EXTERN int MatSerializeRegisterAllCalled;
162 EXTERN int MatSerialize(MPI_Comm, Mat *, PetscViewer, PetscTruth);
163 EXTERN int MatSetSerializeType(Mat, MatSerializeType);
164 
165 EXTERN int MatCreateSeqDense(MPI_Comm,int,int,PetscScalar[],Mat*);
166 EXTERN int MatCreateMPIDense(MPI_Comm,int,int,int,int,PetscScalar[],Mat*);
167 EXTERN int MatCreateSeqAIJ(MPI_Comm,int,int,int,const int[],Mat*);
168 EXTERN int MatCreateMPIAIJ(MPI_Comm,int,int,int,int,int,const int[],int,const int[],Mat*);
169 EXTERN int MatCreateMPIRowbs(MPI_Comm,int,int,int,const int[],Mat*);
170 EXTERN int MatCreateSeqBDiag(MPI_Comm,int,int,int,int,const int[],PetscScalar*[],Mat*);
171 EXTERN int MatCreateMPIBDiag(MPI_Comm,int,int,int,int,int,const int[],PetscScalar*[],Mat*);
172 EXTERN int MatCreateSeqBAIJ(MPI_Comm,int,int,int,int,const int[],Mat*);
173 EXTERN int MatCreateMPIBAIJ(MPI_Comm,int,int,int,int,int,int,const int[],int,const int[],Mat*);
174 EXTERN int MatCreateMPIAdj(MPI_Comm,int,int,int[],int[],int[],Mat*);
175 EXTERN int MatCreateSeqSBAIJ(MPI_Comm,int,int,int,int,const int[],Mat*);
176 EXTERN int MatCreateMPISBAIJ(MPI_Comm,int,int,int,int,int,int,const int[],int,const int[],Mat*);
177 EXTERN int MatCreateShell(MPI_Comm,int,int,int,int,void *,Mat*);
178 EXTERN int MatCreateAdic(MPI_Comm,int,int,int,int,int,void (*)(void),Mat*);
179 EXTERN int MatCreateNormal(Mat,Mat*);
180 EXTERN int MatDestroy(Mat);
181 
182 EXTERN int MatPrintHelp(Mat);
183 EXTERN int MatGetPetscMaps(Mat,PetscMap*,PetscMap*);
184 
185 /* ------------------------------------------------------------*/
186 EXTERN int MatSetValues(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
187 EXTERN int MatSetValuesBlocked(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
188 
189 /*S
190      MatStencil - Data structure (C struct) for storing information about a single row or
191         column of a matrix as index on an associated grid.
192 
193    Level: beginner
194 
195   Concepts: matrix; linear operator
196 
197 .seealso:  MatSetValuesStencil(), MatSetStencil()
198 S*/
199 typedef struct {
200   int k,j,i,c;
201 } MatStencil;
202 
203 EXTERN int MatSetValuesStencil(Mat,int,const MatStencil[],int,const MatStencil[],const PetscScalar[],InsertMode);
204 EXTERN int MatSetValuesBlockedStencil(Mat,int,const MatStencil[],int,const MatStencil[],const PetscScalar[],InsertMode);
205 EXTERN int MatSetStencil(Mat,int,const int[],const int[],int);
206 
207 EXTERN int MatSetColoring(Mat,ISColoring);
208 EXTERN int MatSetValuesAdic(Mat,void*);
209 EXTERN int MatSetValuesAdifor(Mat,int,void*);
210 
211 /*E
212     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
213      to continue to add values to it
214 
215     Level: beginner
216 
217 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
218 E*/
219 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
220 EXTERN int MatAssemblyBegin(Mat,MatAssemblyType);
221 EXTERN int MatAssemblyEnd(Mat,MatAssemblyType);
222 EXTERN int MatAssembled(Mat,PetscTruth*);
223 
224 /*MC
225    MatSetValue - Set a single entry into a matrix.
226 
227    Synopsis:
228    int MatSetValue(Mat m,int row,int col,PetscScalar value,InsertMode mode);
229 
230    Not collective
231 
232    Input Parameters:
233 +  m - the matrix
234 .  row - the row location of the entry
235 .  col - the column location of the entry
236 .  value - the value to insert
237 -  mode - either INSERT_VALUES or ADD_VALUES
238 
239    Notes:
240    For efficiency one should use MatSetValues() and set several or many
241    values simultaneously if possible.
242 
243    Note that MatSetValue() does NOT return an error code (since this
244    is checked internally).
245 
246    Level: beginner
247 
248 .seealso: MatSetValues(), MatSetValueLocal()
249 M*/
250 #define MatSetValue(v,i,j,va,mode) \
251 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
252   _ierr = MatSetValues(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
253 }
254 
255 #define MatGetValue(v,i,j,va) \
256 0; {int _ierr,_row = i,_col = j; \
257   _ierr = MatGetValues(v,1,&_row,1,&_col,&va);CHKERRQ(_ierr); \
258 }
259 
260 #define MatSetValueLocal(v,i,j,va,mode) \
261 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
262   _ierr = MatSetValuesLocal(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
263 }
264 
265 /*E
266     MatOption - Options that may be set for a matrix and its behavior or storage
267 
268     Level: beginner
269 
270    Any additions/changes here MUST also be made in include/finclude/petscmat.h
271 
272 .seealso: MatSetOption()
273 E*/
274 typedef enum {MAT_ROW_ORIENTED=1,MAT_COLUMN_ORIENTED=2,MAT_ROWS_SORTED=4,
275               MAT_COLUMNS_SORTED=8,MAT_NO_NEW_NONZERO_LOCATIONS=16,
276               MAT_YES_NEW_NONZERO_LOCATIONS=32,MAT_SYMMETRIC=64,
277               MAT_STRUCTURALLY_SYMMETRIC=65,MAT_NO_NEW_DIAGONALS=66,
278               MAT_YES_NEW_DIAGONALS=67,MAT_INODE_LIMIT_1=68,MAT_INODE_LIMIT_2=69,
279               MAT_INODE_LIMIT_3=70,MAT_INODE_LIMIT_4=71,MAT_INODE_LIMIT_5=72,
280               MAT_IGNORE_OFF_PROC_ENTRIES=73,MAT_ROWS_UNSORTED=74,
281               MAT_COLUMNS_UNSORTED=75,MAT_NEW_NONZERO_LOCATION_ERR=76,
282               MAT_NEW_NONZERO_ALLOCATION_ERR=77,MAT_USE_HASH_TABLE=78,
283               MAT_KEEP_ZEROED_ROWS=79,MAT_IGNORE_ZERO_ENTRIES=80,MAT_USE_INODES=81,
284               MAT_DO_NOT_USE_INODES=82,MAT_NOT_SYMMETRIC=83,MAT_HERMITIAN=84,
285               MAT_NOT_STRUCTURALLY_SYMMETRIC=85,MAT_NOT_HERMITIAN=86} MatOption;
286 EXTERN int MatSetOption(Mat,MatOption);
287 EXTERN int MatGetType(Mat,MatType*);
288 
289 EXTERN int MatGetValues(Mat,int,const int[],int,const int[],PetscScalar[]);
290 EXTERN int MatGetRow(Mat,int,int *,int *[],PetscScalar*[]);
291 EXTERN int MatRestoreRow(Mat,int,int *,int *[],PetscScalar*[]);
292 EXTERN int MatGetColumn(Mat,int,int *,int *[],PetscScalar*[]);
293 EXTERN int MatRestoreColumn(Mat,int,int *,int *[],PetscScalar*[]);
294 EXTERN int MatGetColumnVector(Mat,Vec,int);
295 EXTERN int MatGetArray(Mat,PetscScalar *[]);
296 EXTERN int MatRestoreArray(Mat,PetscScalar *[]);
297 EXTERN int MatGetBlockSize(Mat,int *);
298 
299 EXTERN int MatMult(Mat,Vec,Vec);
300 EXTERN int MatMultAdd(Mat,Vec,Vec,Vec);
301 EXTERN int MatMultTranspose(Mat,Vec,Vec);
302 EXTERN int MatIsTranspose(Mat,Mat,PetscTruth*);
303 EXTERN int MatMultTransposeAdd(Mat,Vec,Vec,Vec);
304 EXTERN int MatMultConstrained(Mat,Vec,Vec);
305 EXTERN int MatMultTransposeConstrained(Mat,Vec,Vec);
306 
307 /*E
308     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
309   its numerical values copied over or just its nonzero structure.
310 
311     Level: beginner
312 
313    Any additions/changes here MUST also be made in include/finclude/petscmat.h
314 
315 .seealso: MatDuplicate()
316 E*/
317 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption;
318 
319 EXTERN int MatConvertRegister(char*,char*,char*,int (*)(Mat,MatType,Mat*));
320 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
321 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0)
322 #else
323 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d)
324 #endif
325 EXTERN int        MatConvertRegisterAll(char*);
326 EXTERN int        MatConvertRegisterDestroy(void);
327 extern PetscTruth MatConvertRegisterAllCalled;
328 extern PetscFList MatConvertList;
329 EXTERN int        MatConvert(Mat,MatType,Mat*);
330 EXTERN int        MatDuplicate(Mat,MatDuplicateOption,Mat*);
331 
332 /*E
333     MatStructure - Indicates if the matrix has the same nonzero structure
334 
335     Level: beginner
336 
337    Any additions/changes here MUST also be made in include/finclude/petscmat.h
338 
339 .seealso: MatCopy(), SLESSetOperators(), PCSetOperators()
340 E*/
341 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
342 
343 EXTERN int MatCopy(Mat,Mat,MatStructure);
344 EXTERN int MatView(Mat,PetscViewer);
345 
346 EXTERN int MatLoad(PetscViewer,MatType,Mat*);
347 EXTERN int MatMerge(MPI_Comm,Mat,Mat*);
348 
349 EXTERN int MatGetRowIJ(Mat,int,PetscTruth,int*,int *[],int *[],PetscTruth *);
350 EXTERN int MatRestoreRowIJ(Mat,int,PetscTruth,int *,int *[],int *[],PetscTruth *);
351 EXTERN int MatGetColumnIJ(Mat,int,PetscTruth,int*,int *[],int *[],PetscTruth *);
352 EXTERN int MatRestoreColumnIJ(Mat,int,PetscTruth,int *,int *[],int *[],PetscTruth *);
353 
354 /*S
355      MatInfo - Context of matrix information, used with MatGetInfo()
356 
357    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
358 
359    Level: intermediate
360 
361   Concepts: matrix^nonzero information
362 
363 .seealso:  MatGetInfo(), MatInfoType
364 S*/
365 typedef struct {
366   PetscLogDouble rows_global,columns_global;         /* number of global rows and columns */
367   PetscLogDouble rows_local,columns_local;           /* number of local rows and columns */
368   PetscLogDouble block_size;                         /* block size */
369   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
370   PetscLogDouble memory;                             /* memory allocated */
371   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
372   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
373   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
374   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
375 } MatInfo;
376 
377 /*E
378     MatInfoType - Indicates if you want information about the local part of the matrix,
379      the entire parallel matrix or the maximum over all the local parts.
380 
381     Level: beginner
382 
383    Any additions/changes here MUST also be made in include/finclude/petscmat.h
384 
385 .seealso: MatGetInfo(), MatInfo
386 E*/
387 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
388 EXTERN int MatGetInfo(Mat,MatInfoType,MatInfo*);
389 EXTERN int MatValid(Mat,PetscTruth*);
390 EXTERN int MatGetDiagonal(Mat,Vec);
391 EXTERN int MatGetRowMax(Mat,Vec);
392 EXTERN int MatTranspose(Mat,Mat*);
393 EXTERN int MatPermute(Mat,IS,IS,Mat *);
394 EXTERN int MatPermuteSparsify(Mat,int,PetscReal,PetscReal,IS,IS,Mat *);
395 EXTERN int MatDiagonalScale(Mat,Vec,Vec);
396 EXTERN int MatDiagonalSet(Mat,Vec,InsertMode);
397 EXTERN int MatEqual(Mat,Mat,PetscTruth*);
398 
399 EXTERN int MatNorm(Mat,NormType,PetscReal *);
400 EXTERN int MatZeroEntries(Mat);
401 EXTERN int MatZeroRows(Mat,IS,const PetscScalar*);
402 EXTERN int MatZeroColumns(Mat,IS,const PetscScalar*);
403 
404 EXTERN int MatUseScaledForm(Mat,PetscTruth);
405 EXTERN int MatScaleSystem(Mat,Vec,Vec);
406 EXTERN int MatUnScaleSystem(Mat,Vec,Vec);
407 
408 EXTERN int MatGetSize(Mat,int*,int*);
409 EXTERN int MatGetLocalSize(Mat,int*,int*);
410 EXTERN int MatGetOwnershipRange(Mat,int*,int*);
411 
412 /*E
413     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
414      or MatGetSubMatrix() are to be reused to store the new matrix values.
415 
416     Level: beginner
417 
418    Any additions/changes here MUST also be made in include/finclude/petscmat.h
419 
420 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices()
421 E*/
422 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse;
423 EXTERN int MatGetSubMatrices(Mat,int,const IS[],const IS[],MatReuse,Mat *[]);
424 EXTERN int MatDestroyMatrices(int,Mat *[]);
425 EXTERN int MatGetSubMatrix(Mat,IS,IS,int,MatReuse,Mat *);
426 
427 EXTERN int MatIncreaseOverlap(Mat,int,IS[],int);
428 
429 EXTERN int MatAXPY(const PetscScalar *,Mat,Mat,MatStructure);
430 EXTERN int MatAYPX(const PetscScalar *,Mat,Mat);
431 EXTERN int MatCompress(Mat);
432 
433 EXTERN int MatScale(const PetscScalar *,Mat);
434 EXTERN int MatShift(const PetscScalar *,Mat);
435 
436 EXTERN int MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
437 EXTERN int MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
438 EXTERN int MatZeroRowsLocal(Mat,IS,const PetscScalar*);
439 EXTERN int MatSetValuesLocal(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
440 EXTERN int MatSetValuesBlockedLocal(Mat,int,const int[],int,const int[],const PetscScalar[],InsertMode);
441 
442 EXTERN int MatSetStashInitialSize(Mat,int,int);
443 
444 EXTERN int MatInterpolateAdd(Mat,Vec,Vec,Vec);
445 EXTERN int MatInterpolate(Mat,Vec,Vec);
446 EXTERN int MatRestrict(Mat,Vec,Vec);
447 
448 
449 /*MC
450    MatPreallocInitialize - Begins the block of code that will count the number of nonzeros per
451        row in a matrix providing the data that one can use to correctly preallocate the matrix.
452 
453    Synopsis:
454    int MatPreallocateInitialize(MPI_Comm comm, int nrows, int ncols, int *dnz, int *onz)
455 
456    Collective on MPI_Comm
457 
458    Input Parameters:
459 +  comm - the communicator that will share the eventually allocated matrix
460 .  nrows - the number of rows in the matrix
461 -  ncols - the number of columns in the matrix
462 
463    Output Parameters:
464 +  dnz - the array that will be passed to the matrix preallocation routines
465 -  ozn - the other array passed to the matrix preallocation routines
466 
467 
468    Level: intermediate
469 
470    Notes:
471    See the chapter in the users manual on performance for more details
472 
473    Do not malloc or free dnz and onz that is handled internally by these routines
474 
475    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
476 
477   Concepts: preallocation^Matrix
478 
479 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
480           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
481 M*/
482 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
483 { \
484   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
485   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
486   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
487   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
488   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
489 
490 /*MC
491    MatPreallocSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
492        row in a matrix providing the data that one can use to correctly preallocate the matrix.
493 
494    Synopsis:
495    int MatPreallocateSymmetricInitialize(MPI_Comm comm, int nrows, int ncols, int *dnz, int *onz)
496 
497    Collective on MPI_Comm
498 
499    Input Parameters:
500 +  comm - the communicator that will share the eventually allocated matrix
501 .  nrows - the number of rows in the matrix
502 -  ncols - the number of columns in the matrix
503 
504    Output Parameters:
505 +  dnz - the array that will be passed to the matrix preallocation routines
506 -  ozn - the other array passed to the matrix preallocation routines
507 
508 
509    Level: intermediate
510 
511    Notes:
512    See the chapter in the users manual on performance for more details
513 
514    Do not malloc or free dnz and onz that is handled internally by these routines
515 
516   Concepts: preallocation^Matrix
517 
518 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
519           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
520 M*/
521 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
522 { \
523   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__end; \
524   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
525   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
526   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
527   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
528 
529 /*MC
530    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
531        inserted using a local number of the rows and columns
532 
533    Synopsis:
534    int MatPreallocateSetLocal(ISLocalToGlobalMappping map,int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
535 
536    Not Collective
537 
538    Input Parameters:
539 +  map - the mapping between local numbering and global numbering
540 .  nrows - the number of rows indicated
541 .  rows - the indices of the rows (these will be mapped in the
542 .  ncols - the number of columns in the matrix
543 .  cols - the columns indicated
544 .  dnz - the array that will be passed to the matrix preallocation routines
545 -  ozn - the other array passed to the matrix preallocation routines
546 
547 
548    Level: intermediate
549 
550    Notes:
551    See the chapter in the users manual on performance for more details
552 
553    Do not malloc or free dnz and onz that is handled internally by these routines
554 
555   Concepts: preallocation^Matrix
556 
557 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
558           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
559 M*/
560 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
561 {\
562   int __l;\
563   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
564   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
565   for (__l=0;__l<nrows;__l++) {\
566     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
567   }\
568 }
569 
570 /*MC
571    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
572        inserted using a local number of the rows and columns
573 
574    Synopsis:
575    int MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
576 
577    Not Collective
578 
579    Input Parameters:
580 +  map - the mapping between local numbering and global numbering
581 .  nrows - the number of rows indicated
582 .  rows - the indices of the rows (these will be mapped in the
583 .  ncols - the number of columns in the matrix
584 .  cols - the columns indicated
585 .  dnz - the array that will be passed to the matrix preallocation routines
586 -  ozn - the other array passed to the matrix preallocation routines
587 
588 
589    Level: intermediate
590 
591    Notes:
592    See the chapter in the users manual on performance for more details
593 
594    Do not malloc or free dnz and onz that is handled internally by these routines
595 
596   Concepts: preallocation^Matrix
597 
598 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
599           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
600 M*/
601 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
602 {\
603   int __l;\
604   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
605   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
606   for (__l=0;__l<nrows;__l++) {\
607     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
608   }\
609 }
610 
611 /*MC
612    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
613        inserted using a local number of the rows and columns
614 
615    Synopsis:
616    int MatPreallocateSet(int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
617 
618    Not Collective
619 
620    Input Parameters:
621 +  nrows - the number of rows indicated
622 .  rows - the indices of the rows (these will be mapped in the
623 .  ncols - the number of columns in the matrix
624 .  cols - the columns indicated
625 .  dnz - the array that will be passed to the matrix preallocation routines
626 -  ozn - the other array passed to the matrix preallocation routines
627 
628 
629    Level: intermediate
630 
631    Notes:
632    See the chapter in the users manual on performance for more details
633 
634    Do not malloc or free dnz and onz that is handled internally by these routines
635 
636   Concepts: preallocation^Matrix
637 
638 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
639           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
640 M*/
641 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
642 { int __i; \
643   for (__i=0; __i<nc; __i++) {\
644     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
645   }\
646   dnz[row - __rstart] = nc - onz[row - __rstart];\
647 }
648 
649 /*MC
650    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
651        inserted using a local number of the rows and columns
652 
653    Synopsis:
654    int MatPreallocateSymmetricSet(int nrows, int *rows,int ncols, int *cols,int *dnz, int *onz)
655 
656    Not Collective
657 
658    Input Parameters:
659 +  nrows - the number of rows indicated
660 .  rows - the indices of the rows (these will be mapped in the
661 .  ncols - the number of columns in the matrix
662 .  cols - the columns indicated
663 .  dnz - the array that will be passed to the matrix preallocation routines
664 -  ozn - the other array passed to the matrix preallocation routines
665 
666 
667    Level: intermediate
668 
669    Notes:
670    See the chapter in the users manual on performance for more details
671 
672    Do not malloc or free dnz and onz that is handled internally by these routines
673 
674   Concepts: preallocation^Matrix
675 
676 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
677           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
678 M*/
679 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
680 { int __i; \
681   for (__i=0; __i<nc; __i++) {\
682     if (cols[__i] >= __end) onz[row - __rstart]++; \
683     else if (cols[__i] >= row) dnz[row - __rstart]++;\
684   }\
685 }
686 
687 /*MC
688    MatPreallocFinalize - Ends the block of code that will count the number of nonzeros per
689        row in a matrix providing the data that one can use to correctly preallocate the matrix.
690 
691    Synopsis:
692    int MatPreallocateFinalize(int *dnz, int *onz)
693 
694    Collective on MPI_Comm
695 
696    Input Parameters:
697 +  dnz - the array that will be passed to the matrix preallocation routines
698 -  ozn - the other array passed to the matrix preallocation routines
699 
700 
701    Level: intermediate
702 
703    Notes:
704    See the chapter in the users manual on performance for more details
705 
706    Do not malloc or free dnz and onz that is handled internally by these routines
707 
708   Concepts: preallocation^Matrix
709 
710 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
711           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
712 M*/
713 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);}
714 
715 
716 
717 /* Routines unique to particular data structures */
718 EXTERN int MatShellGetContext(Mat,void **);
719 
720 EXTERN int MatBDiagGetData(Mat,int*,int*,int*[],int*[],PetscScalar***);
721 EXTERN int MatSeqAIJSetColumnIndices(Mat,int[]);
722 EXTERN int MatSeqBAIJSetColumnIndices(Mat,int[]);
723 EXTERN int MatCreateSeqAIJWithArrays(MPI_Comm,int,int,int[],int[],PetscScalar[],Mat*);
724 
725 EXTERN int MatSeqBAIJSetPreallocation(Mat,int,int,const int[]);
726 EXTERN int MatSeqSBAIJSetPreallocation(Mat,int,int,const int[]);
727 EXTERN int MatSeqAIJSetPreallocation(Mat,int,const int[]);
728 EXTERN int MatSeqDensePreallocation(Mat,PetscScalar[]);
729 EXTERN int MatSeqBDiagSetPreallocation(Mat,int,int,const int[],PetscScalar*[]);
730 EXTERN int MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
731 
732 EXTERN int MatMPIBAIJSetPreallocation(Mat,int,int,const int[],int,const int[]);
733 EXTERN int MatMPISBAIJSetPreallocation(Mat,int,int,const int[],int,const int[]);
734 EXTERN int MatMPIAIJSetPreallocation(Mat,int,const int[],int,const int[]);
735 EXTERN int MatMPIDensePreallocation(Mat,PetscScalar[]);
736 EXTERN int MatMPIBDiagSetPreallocation(Mat,int,int,const int[],PetscScalar*[]);
737 EXTERN int MatMPIAdjSetPreallocation(Mat,int[],int[],int[]);
738 EXTERN int MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
739 EXTERN int MatMPIRowbsSetPreallocation(Mat,int,const int[]);
740 EXTERN int MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,int*[]);
741 EXTERN int MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,int*[]);
742 EXTERN int MatAdicSetLocalFunction(Mat,void (*)(void));
743 
744 EXTERN int MatSeqDenseSetLDA(Mat,int);
745 
746 EXTERN int MatStoreValues(Mat);
747 EXTERN int MatRetrieveValues(Mat);
748 
749 EXTERN int MatDAADSetCtx(Mat,void*);
750 
751 /*
752   These routines are not usually accessed directly, rather solving is
753   done through the SLES, KSP and PC interfaces.
754 */
755 
756 /*E
757     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
758        with an optional dynamic library name, for example
759        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
760 
761    Level: beginner
762 
763 .seealso: MatGetOrdering()
764 E*/
765 typedef char* MatOrderingType;
766 #define MATORDERING_NATURAL   "natural"
767 #define MATORDERING_ND        "nd"
768 #define MATORDERING_1WD       "1wd"
769 #define MATORDERING_RCM       "rcm"
770 #define MATORDERING_QMD       "qmd"
771 #define MATORDERING_ROWLENGTH "rowlength"
772 #define MATORDERING_DSC_ND    "dsc_nd"
773 #define MATORDERING_DSC_MMD   "dsc_mmd"
774 #define MATORDERING_DSC_MDF   "dsc_mdf"
775 #define MATORDERING_CONSTRAINED "constrained"
776 #define MATORDERING_IDENTITY  "identity"
777 #define MATORDERING_REVERSE   "reverse"
778 
779 EXTERN int MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
780 EXTERN int MatOrderingRegister(char*,char*,char*,int(*)(Mat,MatOrderingType,IS*,IS*));
781 
782 /*MC
783    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the
784                                matrix package.
785 
786    Synopsis:
787    int MatOrderingRegisterDynamic(char *name_ordering,char *path,char *name_create,int (*routine_create)(MatOrdering))
788 
789    Not Collective
790 
791    Input Parameters:
792 +  sname - name of ordering (for example MATORDERING_ND)
793 .  path - location of library where creation routine is
794 .  name - name of function that creates the ordering type,a string
795 -  function - function pointer that creates the ordering
796 
797    Level: developer
798 
799    If dynamic libraries are used, then the fourth input argument (function)
800    is ignored.
801 
802    Sample usage:
803 .vb
804    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
805                "MyOrder",MyOrder);
806 .ve
807 
808    Then, your partitioner can be chosen with the procedural interface via
809 $     MatOrderingSetType(part,"my_order)
810    or at runtime via the option
811 $     -pc_ilu_mat_ordering_type my_order
812 $     -pc_lu_mat_ordering_type my_order
813 
814    ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
815 
816 .keywords: matrix, ordering, register
817 
818 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
819 M*/
820 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
821 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
822 #else
823 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
824 #endif
825 
826 EXTERN int        MatOrderingRegisterDestroy(void);
827 EXTERN int        MatOrderingRegisterAll(char*);
828 extern PetscTruth MatOrderingRegisterAllCalled;
829 extern PetscFList MatOrderingList;
830 
831 EXTERN int MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
832 
833 /*S
834    MatFactorInfo - Data based into the matrix factorization routines
835 
836    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE
837 
838    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
839 
840    Level: developer
841 
842 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor()
843 
844 S*/
845 typedef struct {
846   PetscReal     damping;        /* scaling of identity added to matrix to prevent zero pivots */
847   PetscReal     shift;          /* if true, shift until positive pivots */
848   PetscReal     shift_fraction; /* record shift fraction taken */
849   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
850   PetscReal     dt;             /* drop tolerance */
851   PetscReal     dtcol;          /* tolerance for pivoting */
852   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
853   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
854   PetscReal     levels;         /* ICC/ILU(levels) */
855   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
856                                    factorization may be faster if do not pivot */
857   PetscReal     zeropivot;      /* pivot is called zero if less than this */
858 } MatFactorInfo;
859 
860 EXTERN int MatCholeskyFactor(Mat,IS,MatFactorInfo*);
861 EXTERN int MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
862 EXTERN int MatCholeskyFactorNumeric(Mat,Mat*);
863 EXTERN int MatLUFactor(Mat,IS,IS,MatFactorInfo*);
864 EXTERN int MatILUFactor(Mat,IS,IS,MatFactorInfo*);
865 EXTERN int MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
866 EXTERN int MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
867 EXTERN int MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
868 EXTERN int MatICCFactor(Mat,IS,MatFactorInfo*);
869 EXTERN int MatLUFactorNumeric(Mat,Mat*);
870 EXTERN int MatILUDTFactor(Mat,MatFactorInfo*,IS,IS,Mat *);
871 EXTERN int MatGetInertia(Mat,int*,int*,int*);
872 EXTERN int MatSolve(Mat,Vec,Vec);
873 EXTERN int MatForwardSolve(Mat,Vec,Vec);
874 EXTERN int MatBackwardSolve(Mat,Vec,Vec);
875 EXTERN int MatSolveAdd(Mat,Vec,Vec,Vec);
876 EXTERN int MatSolveTranspose(Mat,Vec,Vec);
877 EXTERN int MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
878 EXTERN int MatSolves(Mat,Vecs,Vecs);
879 
880 EXTERN int MatSetUnfactored(Mat);
881 
882 /*E
883     MatSORType - What type of (S)SOR to perform
884 
885     Level: beginner
886 
887    May be bitwise ORd together
888 
889    Any additions/changes here MUST also be made in include/finclude/petscmat.h
890 
891    MatSORType may be bitwise ORd together, so do not change the numbers
892 
893 .seealso: MatRelax()
894 E*/
895 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
896               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
897               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
898               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
899 EXTERN int MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,int,int,Vec);
900 
901 /*
902     These routines are for efficiently computing Jacobians via finite differences.
903 */
904 
905 /*E
906     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
907        with an optional dynamic library name, for example
908        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
909 
910    Level: beginner
911 
912 .seealso: MatGetColoring()
913 E*/
914 typedef char* MatColoringType;
915 #define MATCOLORING_NATURAL "natural"
916 #define MATCOLORING_SL      "sl"
917 #define MATCOLORING_LF      "lf"
918 #define MATCOLORING_ID      "id"
919 
920 EXTERN int MatGetColoring(Mat,MatColoringType,ISColoring*);
921 EXTERN int MatColoringRegister(char*,char*,char*,int(*)(Mat,MatColoringType,ISColoring *));
922 
923 /*MC
924    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
925                                matrix package.
926 
927    Synopsis:
928    int MatColoringRegisterDynamic(char *name_coloring,char *path,char *name_create,int (*routine_create)(MatColoring))
929 
930    Not Collective
931 
932    Input Parameters:
933 +  sname - name of Coloring (for example MATCOLORING_SL)
934 .  path - location of library where creation routine is
935 .  name - name of function that creates the Coloring type, a string
936 -  function - function pointer that creates the coloring
937 
938    Level: developer
939 
940    If dynamic libraries are used, then the fourth input argument (function)
941    is ignored.
942 
943    Sample usage:
944 .vb
945    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
946                "MyColor",MyColor);
947 .ve
948 
949    Then, your partitioner can be chosen with the procedural interface via
950 $     MatColoringSetType(part,"my_color")
951    or at runtime via the option
952 $     -mat_coloring_type my_color
953 
954    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
955 
956 .keywords: matrix, Coloring, register
957 
958 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
959 M*/
960 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
961 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
962 #else
963 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
964 #endif
965 
966 EXTERN int        MatColoringRegisterAll(char *);
967 extern PetscTruth MatColoringRegisterAllCalled;
968 EXTERN int        MatColoringRegisterDestroy(void);
969 EXTERN int        MatColoringPatch(Mat,int,int,const ISColoringValue[],ISColoring*);
970 
971 /*S
972      MatFDColoring - Object for computing a sparse Jacobian via finite differences
973         and coloring
974 
975    Level: beginner
976 
977   Concepts: coloring, sparse Jacobian, finite differences
978 
979 .seealso:  MatFDColoringCreate()
980 S*/
981 typedef struct _p_MatFDColoring *MatFDColoring;
982 
983 EXTERN int MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
984 EXTERN int MatFDColoringDestroy(MatFDColoring);
985 EXTERN int MatFDColoringView(MatFDColoring,PetscViewer);
986 EXTERN int MatFDColoringSetFunction(MatFDColoring,int (*)(void),void*);
987 EXTERN int MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
988 EXTERN int MatFDColoringSetFrequency(MatFDColoring,int);
989 EXTERN int MatFDColoringGetFrequency(MatFDColoring,int*);
990 EXTERN int MatFDColoringSetFromOptions(MatFDColoring);
991 EXTERN int MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
992 EXTERN int MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
993 EXTERN int MatFDColoringSetRecompute(MatFDColoring);
994 EXTERN int MatFDColoringSetF(MatFDColoring,Vec);
995 EXTERN int MatFDColoringGetPerturbedColumns(MatFDColoring,int*,int*[]);
996 /*
997     These routines are for partitioning matrices: currently used only
998   for adjacency matrix, MatCreateMPIAdj().
999 */
1000 
1001 /*S
1002      MatPartitioning - Object for managing the partitioning of a matrix or graph
1003 
1004    Level: beginner
1005 
1006   Concepts: partitioning
1007 
1008 .seealso:  MatPartitioningCreate(), MatPartitioningType
1009 S*/
1010 typedef struct _p_MatPartitioning *MatPartitioning;
1011 
1012 /*E
1013     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1014        with an optional dynamic library name, for example
1015        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1016 
1017    Level: beginner
1018 
1019 .seealso: MatPartitioningCreate(), MatPartitioning
1020 E*/
1021 typedef char* MatPartitioningType;
1022 #define MAT_PARTITIONING_CURRENT  "current"
1023 #define MAT_PARTITIONING_PARMETIS "parmetis"
1024 
1025 EXTERN int MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1026 EXTERN int MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1027 EXTERN int MatPartitioningSetNParts(MatPartitioning,int);
1028 EXTERN int MatPartitioningSetAdjacency(MatPartitioning,Mat);
1029 EXTERN int MatPartitioningSetVertexWeights(MatPartitioning,const int[]);
1030 EXTERN int MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1031 EXTERN int MatPartitioningApply(MatPartitioning,IS*);
1032 EXTERN int MatPartitioningDestroy(MatPartitioning);
1033 
1034 EXTERN int MatPartitioningRegister(char*,char*,char*,int(*)(MatPartitioning));
1035 
1036 /*MC
1037    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1038    matrix package.
1039 
1040    Synopsis:
1041    int MatPartitioningRegisterDynamic(char *name_partitioning,char *path,char *name_create,int (*routine_create)(MatPartitioning))
1042 
1043    Not Collective
1044 
1045    Input Parameters:
1046 +  sname - name of partitioning (for example MAT_PARTITIONING_CURRENT) or parmetis
1047 .  path - location of library where creation routine is
1048 .  name - name of function that creates the partitioning type, a string
1049 -  function - function pointer that creates the partitioning type
1050 
1051    Level: developer
1052 
1053    If dynamic libraries are used, then the fourth input argument (function)
1054    is ignored.
1055 
1056    Sample usage:
1057 .vb
1058    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1059                "MyPartCreate",MyPartCreate);
1060 .ve
1061 
1062    Then, your partitioner can be chosen with the procedural interface via
1063 $     MatPartitioningSetType(part,"my_part")
1064    or at runtime via the option
1065 $     -mat_partitioning_type my_part
1066 
1067    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
1068 
1069 .keywords: matrix, partitioning, register
1070 
1071 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1072 M*/
1073 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1074 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1075 #else
1076 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1077 #endif
1078 
1079 EXTERN int        MatPartitioningRegisterAll(char *);
1080 extern PetscTruth MatPartitioningRegisterAllCalled;
1081 EXTERN int        MatPartitioningRegisterDestroy(void);
1082 
1083 EXTERN int MatPartitioningView(MatPartitioning,PetscViewer);
1084 EXTERN int MatPartitioningSetFromOptions(MatPartitioning);
1085 EXTERN int MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1086 
1087 EXTERN int MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1088 
1089 /*
1090     If you add entries here you must also add them to finclude/petscmat.h
1091 */
1092 typedef enum { MATOP_SET_VALUES=0,
1093                MATOP_GET_ROW=1,
1094                MATOP_RESTORE_ROW=2,
1095                MATOP_MULT=3,
1096                MATOP_MULT_ADD=4,
1097                MATOP_MULT_TRANSPOSE=5,
1098                MATOP_MULT_TRANSPOSE_ADD=6,
1099                MATOP_SOLVE=7,
1100                MATOP_SOLVE_ADD=8,
1101                MATOP_SOLVE_TRANSPOSE=9,
1102                MATOP_SOLVE_TRANSPOSE_ADD=10,
1103                MATOP_LUFACTOR=11,
1104                MATOP_CHOLESKYFACTOR=12,
1105                MATOP_RELAX=13,
1106                MATOP_TRANSPOSE=14,
1107                MATOP_GETINFO=15,
1108                MATOP_EQUAL=16,
1109                MATOP_GET_DIAGONAL=17,
1110                MATOP_DIAGONAL_SCALE=18,
1111                MATOP_NORM=19,
1112                MATOP_ASSEMBLY_BEGIN=20,
1113                MATOP_ASSEMBLY_END=21,
1114                MATOP_COMPRESS=22,
1115                MATOP_SET_OPTION=23,
1116                MATOP_ZERO_ENTRIES=24,
1117                MATOP_ZERO_ROWS=25,
1118                MATOP_LUFACTOR_SYMBOLIC=26,
1119                MATOP_LUFACTOR_NUMERIC=27,
1120                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
1121                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
1122                MATOP_SETUP_PREALLOCATION=30,
1123                MATOP_ILUFACTOR_SYMBOLIC=31,
1124                MATOP_ICCFACTOR_SYMBOLIC=32,
1125                MATOP_GET_ARRAY=33,
1126                MATOP_RESTORE_ARRAY=34,
1127                MATOP_DUPLCIATE=35,
1128                MATOP_FORWARD_SOLVE=36,
1129                MATOP_BACKWARD_SOLVE=37,
1130                MATOP_ILUFACTOR=38,
1131                MATOP_ICCFACTOR=39,
1132                MATOP_AXPY=40,
1133                MATOP_GET_SUBMATRICES=41,
1134                MATOP_INCREASE_OVERLAP=42,
1135                MATOP_GET_VALUES=43,
1136                MATOP_COPY=44,
1137                MATOP_PRINT_HELP=45,
1138                MATOP_SCALE=46,
1139                MATOP_SHIFT=47,
1140                MATOP_DIAGONAL_SHIFT=48,
1141                MATOP_ILUDT_FACTOR=49,
1142                MATOP_GET_BLOCK_SIZE=50,
1143                MATOP_GET_ROW_IJ=51,
1144                MATOP_RESTORE_ROW_IJ=52,
1145                MATOP_GET_COLUMN_IJ=53,
1146                MATOP_RESTORE_COLUMN_IJ=54,
1147                MATOP_FDCOLORING_CREATE=55,
1148                MATOP_COLORING_PATCH=56,
1149                MATOP_SET_UNFACTORED=57,
1150                MATOP_PERMUTE=58,
1151                MATOP_SET_VALUES_BLOCKED=59,
1152                MATOP_GET_SUBMATRIX=60,
1153                MATOP_DESTROY=61,
1154                MATOP_VIEW=62,
1155                MATOP_GET_MAPS=63,
1156                MATOP_USE_SCALED_FORM=64,
1157                MATOP_SCALE_SYSTEM=65,
1158                MATOP_UNSCALE_SYSTEM=66,
1159                MATOP_SET_LOCAL_TO_GLOBAL_MAPPING=67,
1160                MATOP_SET_VALUES_LOCAL=68,
1161                MATOP_ZERO_ROWS_LOCAL=69,
1162                MATOP_GET_ROW_MAX=70,
1163                MATOP_CONVERT=71,
1164                MATOP_SET_COLORING=72,
1165                MATOP_SET_VALUES_ADIC=73,
1166                MATOP_SET_VALUES_ADIFOR=74,
1167                MATOP_FD_COLORING_APPLY=75,
1168                MATOP_SET_FROM_OPTIONS=76,
1169                MATOP_MULT_CONSTRAINED=77,
1170                MATOP_MULT_TRANSPOSE_CONSTRAINED=78,
1171                MATOP_ILU_FACTOR_SYMBOLIC_CONSTRAINED=79,
1172                MATOP_PERMUTE_SPARSIFY=80,
1173                MATOP_MULT_MULTIPLE=81,
1174                MATOP_SOLVE_MULTIPLE=82
1175              } MatOperation;
1176 EXTERN int MatHasOperation(Mat,MatOperation,PetscTruth*);
1177 EXTERN int MatShellSetOperation(Mat,MatOperation,void(*)(void));
1178 EXTERN int MatShellGetOperation(Mat,MatOperation,void(**)(void));
1179 EXTERN int MatShellSetContext(Mat,void*);
1180 
1181 /*
1182    Codes for matrices stored on disk. By default they are
1183  stored in a universal format. By changing the format with
1184  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
1185  be stored in a way natural for the matrix, for example dense matrices
1186  would be stored as dense. Matrices stored this way may only be
1187  read into matrices of the same time.
1188 */
1189 #define MATRIX_BINARY_FORMAT_DENSE -1
1190 
1191 EXTERN int MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1192 EXTERN int MatSeqAIJGetInodeSizes(Mat,int *,int *[],int *);
1193 EXTERN int MatMPIRowbsGetColor(Mat,ISColoring *);
1194 
1195 /*S
1196      MatNullSpace - Object that removes a null space from a vector, i.e.
1197          orthogonalizes the vector to a subsapce
1198 
1199    Level: advanced
1200 
1201   Concepts: matrix; linear operator, null space
1202 
1203   Users manual sections:
1204 .   sec_singular
1205 
1206 .seealso:  MatNullSpaceCreate()
1207 S*/
1208 typedef struct _p_MatNullSpace* MatNullSpace;
1209 
1210 EXTERN int MatNullSpaceCreate(MPI_Comm,int,int,const Vec[],MatNullSpace*);
1211 EXTERN int MatNullSpaceDestroy(MatNullSpace);
1212 EXTERN int MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1213 EXTERN int MatNullSpaceAttach(Mat,MatNullSpace);
1214 EXTERN int MatNullSpaceTest(MatNullSpace,Mat);
1215 
1216 EXTERN int MatReorderingSeqSBAIJ(Mat A,IS isp);
1217 EXTERN int MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1218 EXTERN int MatSeqSBAIJSetColumnIndices(Mat,int *);
1219 
1220 EXTERN int MatMatMult(Mat A,Mat B, Mat *C);
1221 EXTERN int MatMatMultSymbolic(Mat A,Mat B,Mat *C);
1222 EXTERN int MatMatMultNumeric(Mat A,Mat B,Mat C);
1223 
1224 EXTERN int MatCreateMAIJ(Mat,int,Mat*);
1225 EXTERN int MatMAIJRedimension(Mat,int,Mat*);
1226 EXTERN int MatMAIJGetAIJ(Mat,Mat*);
1227 
1228 EXTERN int MatComputeExplicitOperator(Mat,Mat*);
1229 
1230 EXTERN int MatESISetType(Mat,char*);
1231 EXTERN int MatESISetFromOptions(Mat);
1232 
1233 EXTERN int MatDiagonalScaleLocal(Mat,Vec);
1234 
1235 EXTERN int PetscViewerMathematicaPutMatrix(PetscViewer, int, int, PetscReal *);
1236 EXTERN int PetscViewerMathematicaPutCSRMatrix(PetscViewer, int, int, int *, int *, PetscReal *);
1237 
1238 EXTERN int MatUseSpooles_SeqAIJ(Mat);
1239 EXTERN int MatUseUMFPACK_SeqAIJ(Mat);
1240 EXTERN int MatUseSuperLU_SeqAIJ(Mat);
1241 EXTERN int MatUseEssl_SeqAIJ(Mat);
1242 EXTERN int MatUseLUSOL_SeqAIJ(Mat);
1243 EXTERN int MatUseMatlab_SeqAIJ(Mat);
1244 EXTERN int MatUseDXML_SeqAIJ(Mat);
1245 EXTERN int MatUsePETSc_SeqAIJ(Mat);
1246 EXTERN int MatUseSuperLU_DIST_MPIAIJ(Mat);
1247 EXTERN int MatUseSpooles_MPIAIJ(Mat);
1248 EXTERN int MatUseSpooles_SeqSBAIJ(Mat);
1249 EXTERN int MatUseSpooles_MPISBAIJ(Mat);
1250 EXTERN int MatUseMUMPS_MPIAIJ(Mat);
1251 
1252 PETSC_EXTERN_CXX_END
1253 #endif
1254