xref: /petsc/include/petscmat.h (revision 8bc8193efbc389280f83b3d41dffa9e2d23e2ace)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include "petscvec.h"
7 PETSC_EXTERN_CXX_BEGIN
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 MATMAIJ            "maij"
33 #define MATIS              "is"
34 #define MATMPIROWBS        "mpirowbs"
35 #define MATSEQAIJ          "seqaij"
36 #define MATMPIAIJ          "mpiaij"
37 #define MATAIJ             "aij"
38 #define MATSHELL           "shell"
39 #define MATSEQBDIAG        "seqbdiag"
40 #define MATMPIBDIAG        "mpibdiag"
41 #define MATBDIAG           "bdiag"
42 #define MATSEQDENSE        "seqdense"
43 #define MATMPIDENSE        "mpidense"
44 #define MATDENSE           "dense"
45 #define MATSEQBAIJ         "seqbaij"
46 #define MATMPIBAIJ         "mpibaij"
47 #define MATBAIJ            "baij"
48 #define MATMPIADJ          "mpiadj"
49 #define MATSEQSBAIJ        "seqsbaij"
50 #define MATMPISBAIJ        "mpisbaij"
51 #define MATSBAIJ           "sbaij"
52 #define MATDAAD            "daad"
53 #define MATMFFD            "mffd"
54 #define MATNORMAL          "normal"
55 #define MATSEQAIJSPOOLES   "seqaijspooles"
56 #define MATMPIAIJSPOOLES   "mpiaijspooles"
57 #define MATSEQSBAIJSPOOLES "seqsbaijspooles"
58 #define MATMPISBAIJSPOOLES "mpisbaijspooles"
59 #define MATAIJSPOOLES      "aijspooles"
60 #define MATSBAIJSPOOLES    "sbaijspooles"
61 #define MATSUPERLU         "superlu"
62 #define MATSUPERLU_DIST    "superlu_dist"
63 #define MATUMFPACK         "umfpack"
64 #define MATESSL            "essl"
65 #define MATLUSOL           "lusol"
66 #define MATAIJMUMPS        "aijmumps"
67 #define MATSBAIJMUMPS      "sbaijmumps"
68 #define MATDSCPACK         "dscpack"
69 #define MATMATLAB          "matlab"
70 #define MatType char*
71 
72 /* Logging support */
73 #define    MAT_FILE_COOKIE 1211216    /* used to indicate matrices in binary files */
74 extern PetscCookie MAT_COOKIE, MATSNESMFCTX_COOKIE, MAT_FDCOLORING_COOKIE, MAT_PARTITIONING_COOKIE, MAT_NULLSPACE_COOKIE;
75 extern PetscEvent  MAT_Mult, MAT_MultMatrixFree, MAT_Mults, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
76 extern PetscEvent  MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_Solves, MAT_SolveAdd, MAT_SolveTranspose;
77 extern PetscEvent  MAT_SolveTransposeAdd, MAT_Relax, MAT_ForwardSolve, MAT_BackwardSolve, MAT_LUFactor, MAT_LUFactorSymbolic;
78 extern PetscEvent  MAT_LUFactorNumeric, MAT_CholeskyFactor, MAT_CholeskyFactorSymbolic, MAT_CholeskyFactorNumeric, MAT_ILUFactor;
79 extern PetscEvent  MAT_ILUFactorSymbolic, MAT_ICCFactorSymbolic, MAT_Copy, MAT_Convert, MAT_Scale, MAT_AssemblyBegin;
80 extern PetscEvent  MAT_AssemblyEnd, MAT_SetValues, MAT_GetValues, MAT_GetRow, MAT_GetSubMatrices, MAT_GetColoring, MAT_GetOrdering;
81 extern PetscEvent  MAT_IncreaseOverlap, MAT_Partitioning, MAT_ZeroEntries, MAT_Load, MAT_View, MAT_AXPY, MAT_FDColoringCreate;
82 extern PetscEvent  MAT_FDColoringApply, MAT_Transpose, MAT_FDColoringFunction;
83 extern PetscEvent  MAT_MatMult, MAT_MatMultSymbolic, MAT_MatMultNumeric;
84 extern PetscEvent  MAT_PtAP, MAT_PtAPSymbolic, MAT_PtAPNumeric;
85 extern PetscEvent  MAT_MatMultTranspose, MAT_MatMultTransposeSymbolic, MAT_MatMultTransposeNumeric;
86 
87 EXTERN PetscErrorCode MatInitializePackage(char *);
88 
89 EXTERN PetscErrorCode MatCreate(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
90 EXTERN PetscErrorCode MatSetType(Mat,const MatType);
91 EXTERN PetscErrorCode MatSetFromOptions(Mat);
92 EXTERN PetscErrorCode MatSetUpPreallocation(Mat);
93 EXTERN PetscErrorCode MatRegisterAll(const char[]);
94 EXTERN PetscErrorCode MatRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat));
95 
96 /*MC
97    MatRegisterDynamic - Adds a new matrix type
98 
99    Synopsis:
100    PetscErrorCode MatRegisterDynamic(char *name,char *path,char *name_create,PetscErrorCode (*routine_create)(Mat))
101 
102    Not Collective
103 
104    Input Parameters:
105 +  name - name of a new user-defined matrix type
106 .  path - path (either absolute or relative) the library containing this solver
107 .  name_create - name of routine to create method context
108 -  routine_create - routine to create method context
109 
110    Notes:
111    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
112 
113    If dynamic libraries are used, then the fourth input argument (routine_create)
114    is ignored.
115 
116    Sample usage:
117 .vb
118    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
119                "MyMatCreate",MyMatCreate);
120 .ve
121 
122    Then, your solver can be chosen with the procedural interface via
123 $     MatSetType(Mat,"my_mat")
124    or at runtime via the option
125 $     -mat_type my_mat
126 
127    Level: advanced
128 
129    Notes: ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
130          If your function is not being put into a shared library then use VecRegister() instead
131 
132 .keywords: Mat, register
133 
134 .seealso: MatRegisterAll(), MatRegisterDestroy()
135 
136 M*/
137 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
138 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
139 #else
140 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
141 #endif
142 
143 extern PetscTruth MatRegisterAllCalled;
144 extern PetscFList MatList;
145 
146 EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
147 EXTERN PetscErrorCode MatCreateMPIDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
148 EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
149 EXTERN PetscErrorCode MatCreateMPIAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
150 EXTERN PetscErrorCode MatCreateMPIRowbs(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
151 EXTERN PetscErrorCode MatCreateSeqBDiag(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscScalar*[],Mat*);
152 EXTERN PetscErrorCode MatCreateMPIBDiag(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscScalar*[],Mat*);
153 EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
154 EXTERN PetscErrorCode MatCreateMPIBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
155 EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
156 EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
157 EXTERN PetscErrorCode MatCreateMPISBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
158 EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
159 EXTERN PetscErrorCode MatCreateAdic(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,void (*)(void),Mat*);
160 EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
161 EXTERN PetscErrorCode MatDestroy(Mat);
162 
163 EXTERN PetscErrorCode MatPrintHelp(Mat);
164 EXTERN PetscErrorCode MatGetPetscMaps(Mat,PetscMap*,PetscMap*);
165 
166 /* ------------------------------------------------------------*/
167 EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
168 EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
169 
170 /*S
171      MatStencil - Data structure (C struct) for storing information about a single row or
172         column of a matrix as index on an associated grid.
173 
174    Level: beginner
175 
176   Concepts: matrix; linear operator
177 
178 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockStencil()
179 S*/
180 typedef struct {
181   PetscInt k,j,i,c;
182 } MatStencil;
183 
184 EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
185 EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
186 EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
187 
188 EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
189 EXTERN PetscErrorCode MatSetValuesAdic(Mat,void*);
190 EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
191 
192 /*E
193     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
194      to continue to add values to it
195 
196     Level: beginner
197 
198 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
199 E*/
200 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
201 EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
202 EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
203 EXTERN PetscErrorCode MatAssembled(Mat,PetscTruth*);
204 
205 extern PetscInt    MatSetValue_Row, MatSetValue_Column;
206 extern PetscScalar MatSetValue_Value;
207 
208 /*MC
209    MatSetValue - Set a single entry into a matrix.
210 
211    Synopsis:
212    PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode);
213 
214    Not collective
215 
216    Input Parameters:
217 +  m - the matrix
218 .  row - the row location of the entry
219 .  col - the column location of the entry
220 .  value - the value to insert
221 -  mode - either INSERT_VALUES or ADD_VALUES
222 
223    Notes:
224    For efficiency one should use MatSetValues() and set several or many
225    values simultaneously if possible.
226 
227    Level: beginner
228 
229 .seealso: MatSetValues(), MatSetValueLocal()
230 M*/
231 #define MatSetValue(v,i,j,va,mode) \
232   (MatSetValue_Row = i,MatSetValue_Column = j,MatSetValue_Value = va, \
233    MatSetValues(v,1,&MatSetValue_Row,1,&MatSetValue_Column,&MatSetValue_Value,mode))
234 
235 #define MatGetValue(v,i,j,va) \
236   (MatSetValue_Row = i,MatSetValue_Column = j,\
237    MatGetValues(v,1,&MatSetValue_Row,1,&MatSetValue_Column,&va))
238 
239 #define MatSetValueLocal(v,i,j,va,mode) \
240   (MatSetValue_Row = i,MatSetValue_Column = j,MatSetValue_Value = va, \
241    MatSetValuesLocal(v,1,&MatSetValue_Row,1,&MatSetValue_Column,&MatSetValue_Value,mode))
242 
243 /*E
244     MatOption - Options that may be set for a matrix and its behavior or storage
245 
246     Level: beginner
247 
248    Any additions/changes here MUST also be made in include/finclude/petscmat.h
249 
250 .seealso: MatSetOption()
251 E*/
252 typedef enum {MAT_ROW_ORIENTED=1,MAT_COLUMN_ORIENTED=2,MAT_ROWS_SORTED=4,
253               MAT_COLUMNS_SORTED=8,MAT_NO_NEW_NONZERO_LOCATIONS=16,
254               MAT_YES_NEW_NONZERO_LOCATIONS=32,MAT_SYMMETRIC=64,
255               MAT_STRUCTURALLY_SYMMETRIC=65,MAT_NO_NEW_DIAGONALS=66,
256               MAT_YES_NEW_DIAGONALS=67,MAT_INODE_LIMIT_1=68,MAT_INODE_LIMIT_2=69,
257               MAT_INODE_LIMIT_3=70,MAT_INODE_LIMIT_4=71,MAT_INODE_LIMIT_5=72,
258               MAT_IGNORE_OFF_PROC_ENTRIES=73,MAT_ROWS_UNSORTED=74,
259               MAT_COLUMNS_UNSORTED=75,MAT_NEW_NONZERO_LOCATION_ERR=76,
260               MAT_NEW_NONZERO_ALLOCATION_ERR=77,MAT_USE_HASH_TABLE=78,
261               MAT_KEEP_ZEROED_ROWS=79,MAT_IGNORE_ZERO_ENTRIES=80,MAT_USE_INODES=81,
262               MAT_DO_NOT_USE_INODES=82,MAT_NOT_SYMMETRIC=83,MAT_HERMITIAN=84,
263               MAT_NOT_STRUCTURALLY_SYMMETRIC=85,MAT_NOT_HERMITIAN=86,
264               MAT_SYMMETRY_ETERNAL=87,MAT_NOT_SYMMETRY_ETERNAL=88} MatOption;
265 EXTERN PetscErrorCode MatSetOption(Mat,MatOption);
266 EXTERN PetscErrorCode MatGetType(Mat,MatType*);
267 
268 EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
269 EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
270 EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
271 EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
272 EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
273 EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
274 EXTERN PetscErrorCode MatGetArray(Mat,PetscScalar *[]);
275 EXTERN PetscErrorCode MatRestoreArray(Mat,PetscScalar *[]);
276 EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
277 EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
278 
279 EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
280 EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
281 EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
282 EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscTruth*);
283 EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
284 EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
285 EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
286 
287 /*E
288     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
289   its numerical values copied over or just its nonzero structure.
290 
291     Level: beginner
292 
293    Any additions/changes here MUST also be made in include/finclude/petscmat.h
294 
295 .seealso: MatDuplicate()
296 E*/
297 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption;
298 
299 EXTERN PetscErrorCode MatConvertRegister(const char[],const char[],const char[],PetscErrorCode (*)(Mat,MatType,Mat*));
300 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
301 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0)
302 #else
303 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d)
304 #endif
305 EXTERN PetscErrorCode        MatConvertRegisterAll(const char[]);
306 EXTERN PetscErrorCode        MatConvertRegisterDestroy(void);
307 extern PetscTruth MatConvertRegisterAllCalled;
308 extern PetscFList MatConvertList;
309 EXTERN PetscErrorCode        MatConvert(Mat,const MatType,Mat*);
310 EXTERN PetscErrorCode        MatDuplicate(Mat,MatDuplicateOption,Mat*);
311 
312 /*E
313     MatStructure - Indicates if the matrix has the same nonzero structure
314 
315     Level: beginner
316 
317    Any additions/changes here MUST also be made in include/finclude/petscmat.h
318 
319 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
320 E*/
321 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
322 
323 EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
324 EXTERN PetscErrorCode MatView(Mat,PetscViewer);
325 EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscTruth*);
326 EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscTruth*,PetscTruth*);
327 EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscTruth*,PetscTruth*);
328 EXTERN PetscErrorCode MatLoad(PetscViewer,const MatType,Mat*);
329 
330 EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscTruth,PetscInt*,PetscInt *[],PetscInt *[],PetscTruth *);
331 EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscTruth,PetscInt *,PetscInt *[],PetscInt *[],PetscTruth *);
332 EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscTruth,PetscInt*,PetscInt *[],PetscInt *[],PetscTruth *);
333 EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscTruth,PetscInt *,PetscInt *[],PetscInt *[],PetscTruth *);
334 
335 /*S
336      MatInfo - Context of matrix information, used with MatGetInfo()
337 
338    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
339 
340    Level: intermediate
341 
342   Concepts: matrix^nonzero information
343 
344 .seealso:  MatGetInfo(), MatInfoType
345 S*/
346 typedef struct {
347   PetscLogDouble rows_global,columns_global;         /* number of global rows and columns */
348   PetscLogDouble rows_local,columns_local;           /* number of local rows and columns */
349   PetscLogDouble block_size;                         /* block size */
350   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
351   PetscLogDouble memory;                             /* memory allocated */
352   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
353   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
354   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
355   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
356 } MatInfo;
357 
358 /*E
359     MatInfoType - Indicates if you want information about the local part of the matrix,
360      the entire parallel matrix or the maximum over all the local parts.
361 
362     Level: beginner
363 
364    Any additions/changes here MUST also be made in include/finclude/petscmat.h
365 
366 .seealso: MatGetInfo(), MatInfo
367 E*/
368 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
369 EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
370 EXTERN PetscErrorCode MatValid(Mat,PetscTruth*);
371 EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
372 EXTERN PetscErrorCode MatGetRowMax(Mat,Vec);
373 EXTERN PetscErrorCode MatTranspose(Mat,Mat*);
374 EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
375 EXTERN PetscErrorCode MatPermuteSparsify(Mat,PetscInt,PetscReal,PetscReal,IS,IS,Mat *);
376 EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
377 EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
378 EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscTruth*);
379 
380 EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
381 EXTERN PetscErrorCode MatZeroEntries(Mat);
382 EXTERN PetscErrorCode MatZeroRows(Mat,IS,const PetscScalar*);
383 EXTERN PetscErrorCode MatZeroColumns(Mat,IS,const PetscScalar*);
384 
385 EXTERN PetscErrorCode MatUseScaledForm(Mat,PetscTruth);
386 EXTERN PetscErrorCode MatScaleSystem(Mat,Vec,Vec);
387 EXTERN PetscErrorCode MatUnScaleSystem(Mat,Vec,Vec);
388 
389 EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
390 EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
391 EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
392 
393 /*E
394     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
395      or MatGetSubMatrix() are to be reused to store the new matrix values.
396 
397     Level: beginner
398 
399    Any additions/changes here MUST also be made in include/finclude/petscmat.h
400 
401 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices()
402 E*/
403 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse;
404 EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
405 EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
406 EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,PetscInt,MatReuse,Mat *);
407 EXTERN PetscErrorCode MatMerge(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
408 EXTERN PetscErrorCode MatMerge_SeqsToMPI(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
409 EXTERN PetscErrorCode MatMerge_SeqsToMPISymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
410 EXTERN PetscErrorCode MatMerge_SeqsToMPINumeric(Mat,Mat);
411 EXTERN PetscErrorCode MatDestroy_MPIAIJ_SeqsToMPI(Mat);
412 EXTERN PetscErrorCode MatGetLocalMat(Mat,MatReuse,Mat*);
413 EXTERN PetscErrorCode MatGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
414 EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,PetscInt*,Mat*);
415 EXTERN PetscErrorCode MatGetBrowsOfAoCols(Mat,Mat,MatReuse,PetscInt**,PetscScalar**,Mat*);
416 
417 EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
418 
419 EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
420 EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
421 EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
422 
423 EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
424 EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
425 EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
426 
427 EXTERN PetscErrorCode MatMatMultTranspose(Mat,Mat,MatReuse,PetscReal,Mat*);
428 EXTERN PetscErrorCode MatMatMultTransposeSymbolic(Mat,Mat,PetscReal,Mat*);
429 EXTERN PetscErrorCode MatMatMultTransposeNumeric(Mat,Mat,Mat);
430 
431 EXTERN PetscErrorCode MatAXPY(const PetscScalar *,Mat,Mat,MatStructure);
432 EXTERN PetscErrorCode MatAYPX(const PetscScalar *,Mat,Mat);
433 EXTERN PetscErrorCode MatCompress(Mat);
434 
435 EXTERN PetscErrorCode MatScale(const PetscScalar *,Mat);
436 EXTERN PetscErrorCode MatShift(const PetscScalar *,Mat);
437 
438 EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
439 EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
440 EXTERN PetscErrorCode MatZeroRowsLocal(Mat,IS,const PetscScalar*);
441 EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
442 EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
443 
444 EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
445 EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
446 
447 EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
448 EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
449 EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
450 EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
451 
452 /*MC
453    MatPreallocInitialize - Begins the block of code that will count the number of nonzeros per
454        row in a matrix providing the data that one can use to correctly preallocate the matrix.
455 
456    Synopsis:
457    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
458 
459    Collective on MPI_Comm
460 
461    Input Parameters:
462 +  comm - the communicator that will share the eventually allocated matrix
463 .  nrows - the number of rows in the matrix
464 -  ncols - the number of columns in the matrix
465 
466    Output Parameters:
467 +  dnz - the array that will be passed to the matrix preallocation routines
468 -  ozn - the other array passed to the matrix preallocation routines
469 
470 
471    Level: intermediate
472 
473    Notes:
474    See the chapter in the users manual on performance for more details
475 
476    Do not malloc or free dnz and onz, that is handled internally by these routines
477 
478    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
479 
480   Concepts: preallocation^Matrix
481 
482 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
483           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
484 M*/
485 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
486 { \
487   PetscErrorCode _4_ierr; PetscInt __tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
488   _4_ierr = PetscMalloc(2*__tmp*sizeof(PetscInt),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
489   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(PetscInt));CHKERRQ(_4_ierr);\
490   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
491   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
492 
493 /*MC
494    MatPreallocSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
495        row in a matrix providing the data that one can use to correctly preallocate the matrix.
496 
497    Synopsis:
498    PetscErrorCode MatPreallocateSymmetricInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
499 
500    Collective on MPI_Comm
501 
502    Input Parameters:
503 +  comm - the communicator that will share the eventually allocated matrix
504 .  nrows - the number of rows in the matrix
505 -  ncols - the number of columns in the matrix
506 
507    Output Parameters:
508 +  dnz - the array that will be passed to the matrix preallocation routines
509 -  ozn - the other array passed to the matrix preallocation routines
510 
511 
512    Level: intermediate
513 
514    Notes:
515    See the chapter in the users manual on performance for more details
516 
517    Do not malloc or free dnz and onz, that is handled internally by these routines
518 
519   Concepts: preallocation^Matrix
520 
521 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
522           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
523 M*/
524 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
525 { \
526   PetscErrorCode _4_ierr; PetscInt __tmp = (nrows),__ctmp = (ncols),__rstart,__end; \
527   _4_ierr = PetscMalloc(2*__tmp*sizeof(PetscInt),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
528   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(PetscInt));CHKERRQ(_4_ierr);\
529   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
530   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
531 
532 /*MC
533    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
534        inserted using a local number of the rows and columns
535 
536    Synopsis:
537    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
538 
539    Not Collective
540 
541    Input Parameters:
542 +  map - the mapping between local numbering and global numbering
543 .  nrows - the number of rows indicated
544 .  rows - the indices of the rows
545 .  ncols - the number of columns in the matrix
546 .  cols - the columns indicated
547 .  dnz - the array that will be passed to the matrix preallocation routines
548 -  ozn - the other array passed to the matrix preallocation routines
549 
550 
551    Level: intermediate
552 
553    Notes:
554    See the chapter in the users manual on performance for more details
555 
556    Do not malloc or free dnz and onz, that is handled internally by these routines
557 
558   Concepts: preallocation^Matrix
559 
560 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
561           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
562 M*/
563 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
564 {\
565   PetscInt __l;\
566   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
567   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
568   for (__l=0;__l<nrows;__l++) {\
569     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
570   }\
571 }
572 
573 /*MC
574    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
575        inserted using a local number of the rows and columns
576 
577    Synopsis:
578    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
579 
580    Not Collective
581 
582    Input Parameters:
583 +  map - the mapping between local numbering and global numbering
584 .  nrows - the number of rows indicated
585 .  rows - the indices of the rows
586 .  ncols - the number of columns in the matrix
587 .  cols - the columns indicated
588 .  dnz - the array that will be passed to the matrix preallocation routines
589 -  ozn - the other array passed to the matrix preallocation routines
590 
591 
592    Level: intermediate
593 
594    Notes:
595    See the chapter in the users manual on performance for more details
596 
597    Do not malloc or free dnz and onz that is handled internally by these routines
598 
599   Concepts: preallocation^Matrix
600 
601 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
602           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
603 M*/
604 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
605 {\
606   PetscInt __l;\
607   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
608   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
609   for (__l=0;__l<nrows;__l++) {\
610     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
611   }\
612 }
613 
614 /*MC
615    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
616        inserted using a local number of the rows and columns
617 
618    Synopsis:
619    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
620 
621    Not Collective
622 
623    Input Parameters:
624 +  nrows - the number of rows indicated
625 .  rows - the indices of the rows
626 .  ncols - the number of columns in the matrix
627 -  cols - the columns indicated
628 
629    Output Parameters:
630 +  dnz - the array that will be passed to the matrix preallocation routines
631 -  ozn - the other array passed to the matrix preallocation routines
632 
633 
634    Level: intermediate
635 
636    Notes:
637    See the chapter in the users manual on performance for more details
638 
639    Do not malloc or free dnz and onz that is handled internally by these routines
640 
641   Concepts: preallocation^Matrix
642 
643 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
644           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
645 M*/
646 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
647 { PetscInt __i; \
648   for (__i=0; __i<nc; __i++) {\
649     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
650   }\
651   dnz[row - __rstart] = nc - onz[row - __rstart];\
652 }
653 
654 /*MC
655    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
656        inserted using a local number of the rows and columns
657 
658    Synopsis:
659    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
660 
661    Not Collective
662 
663    Input Parameters:
664 +  nrows - the number of rows indicated
665 .  rows - the indices of the rows
666 .  ncols - the number of columns in the matrix
667 .  cols - the columns indicated
668 .  dnz - the array that will be passed to the matrix preallocation routines
669 -  ozn - the other array passed to the matrix preallocation routines
670 
671 
672    Level: intermediate
673 
674    Notes:
675    See the chapter in the users manual on performance for more details
676 
677    Do not malloc or free dnz and onz that is handled internally by these routines
678 
679   Concepts: preallocation^Matrix
680 
681 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
682           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
683 M*/
684 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
685 { PetscInt __i; \
686   for (__i=0; __i<nc; __i++) {\
687     if (cols[__i] >= __end) onz[row - __rstart]++; \
688     else if (cols[__i] >= row) dnz[row - __rstart]++;\
689   }\
690 }
691 
692 /*MC
693    MatPreallocFinalize - Ends the block of code that will count the number of nonzeros per
694        row in a matrix providing the data that one can use to correctly preallocate the matrix.
695 
696    Synopsis:
697    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
698 
699    Collective on MPI_Comm
700 
701    Input Parameters:
702 +  dnz - the array that will be passed to the matrix preallocation routines
703 -  ozn - the other array passed to the matrix preallocation routines
704 
705 
706    Level: intermediate
707 
708    Notes:
709    See the chapter in the users manual on performance for more details
710 
711    Do not malloc or free dnz and onz that is handled internally by these routines
712 
713   Concepts: preallocation^Matrix
714 
715 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
716           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
717 M*/
718 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);}
719 
720 
721 
722 /* Routines unique to particular data structures */
723 EXTERN PetscErrorCode MatShellGetContext(Mat,void **);
724 
725 EXTERN PetscErrorCode MatBDiagGetData(Mat,PetscInt*,PetscInt*,PetscInt*[],PetscInt*[],PetscScalar***);
726 EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
727 EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
728 EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
729 
730 EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
731 EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
732 EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
733 EXTERN PetscErrorCode MatSeqDensePreallocation(Mat,PetscScalar[]);
734 EXTERN PetscErrorCode MatSeqBDiagSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscScalar*[]);
735 EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
736 
737 EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
738 EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
739 EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
740 EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
741 EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
742 EXTERN PetscErrorCode MatMPIDensePreallocation(Mat,PetscScalar[]);
743 EXTERN PetscErrorCode MatMPIBDiagSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscScalar*[]);
744 EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
745 EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
746 EXTERN PetscErrorCode MatMPIRowbsSetPreallocation(Mat,PetscInt,const PetscInt[]);
747 EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
748 EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
749 EXTERN PetscErrorCode MatAdicSetLocalFunction(Mat,void (*)(void));
750 
751 EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
752 
753 EXTERN PetscErrorCode MatStoreValues(Mat);
754 EXTERN PetscErrorCode MatRetrieveValues(Mat);
755 
756 EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
757 
758 /*
759   These routines are not usually accessed directly, rather solving is
760   done through the KSP and PC interfaces.
761 */
762 
763 /*E
764     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
765        with an optional dynamic library name, for example
766        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
767 
768    Level: beginner
769 
770 .seealso: MatGetOrdering()
771 E*/
772 #define MatOrderingType char*
773 #define MATORDERING_NATURAL   "natural"
774 #define MATORDERING_ND        "nd"
775 #define MATORDERING_1WD       "1wd"
776 #define MATORDERING_RCM       "rcm"
777 #define MATORDERING_QMD       "qmd"
778 #define MATORDERING_ROWLENGTH "rowlength"
779 #define MATORDERING_DSC_ND    "dsc_nd"
780 #define MATORDERING_DSC_MMD   "dsc_mmd"
781 #define MATORDERING_DSC_MDF   "dsc_mdf"
782 #define MATORDERING_CONSTRAINED "constrained"
783 #define MATORDERING_IDENTITY  "identity"
784 #define MATORDERING_REVERSE   "reverse"
785 
786 EXTERN PetscErrorCode MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
787 EXTERN PetscErrorCode MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
788 
789 /*MC
790    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the
791                                matrix package.
792 
793    Synopsis:
794    PetscErrorCode MatOrderingRegisterDynamic(char *name_ordering,char *path,char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
795 
796    Not Collective
797 
798    Input Parameters:
799 +  sname - name of ordering (for example MATORDERING_ND)
800 .  path - location of library where creation routine is
801 .  name - name of function that creates the ordering type,a string
802 -  function - function pointer that creates the ordering
803 
804    Level: developer
805 
806    If dynamic libraries are used, then the fourth input argument (function)
807    is ignored.
808 
809    Sample usage:
810 .vb
811    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
812                "MyOrder",MyOrder);
813 .ve
814 
815    Then, your partitioner can be chosen with the procedural interface via
816 $     MatOrderingSetType(part,"my_order)
817    or at runtime via the option
818 $     -pc_ilu_mat_ordering_type my_order
819 $     -pc_lu_mat_ordering_type my_order
820 
821    ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
822 
823 .keywords: matrix, ordering, register
824 
825 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
826 M*/
827 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
828 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
829 #else
830 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
831 #endif
832 
833 EXTERN PetscErrorCode        MatOrderingRegisterDestroy(void);
834 EXTERN PetscErrorCode        MatOrderingRegisterAll(const char[]);
835 extern PetscTruth MatOrderingRegisterAllCalled;
836 extern PetscFList MatOrderingList;
837 
838 EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
839 
840 /*S
841    MatFactorInfo - Data based into the matrix factorization routines
842 
843    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE
844 
845    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
846 
847    Level: developer
848 
849 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
850           MatFactorInfoInitialize()
851 
852 S*/
853 typedef struct {
854   PetscReal     damping;        /* scaling of identity added to matrix to prevent zero pivots */
855   PetscReal     shift;          /* if true, shift until positive pivots */
856   PetscReal     shift_fraction; /* record shift fraction taken */
857   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
858   PetscReal     dt;             /* drop tolerance */
859   PetscReal     dtcol;          /* tolerance for pivoting */
860   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
861   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
862   PetscReal     levels;         /* ICC/ILU(levels) */
863   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
864                                    factorization may be faster if do not pivot */
865   PetscReal     zeropivot;      /* pivot is called zero if less than this */
866 } MatFactorInfo;
867 
868 EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
869 EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,MatFactorInfo*);
870 EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
871 EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat*);
872 EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,MatFactorInfo*);
873 EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,MatFactorInfo*);
874 EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
875 EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
876 EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
877 EXTERN PetscErrorCode MatICCFactor(Mat,IS,MatFactorInfo*);
878 EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat*);
879 EXTERN PetscErrorCode MatILUDTFactor(Mat,MatFactorInfo*,IS,IS,Mat *);
880 EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
881 EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
882 EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
883 EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
884 EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
885 EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
886 EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
887 EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
888 
889 EXTERN PetscErrorCode MatSetUnfactored(Mat);
890 
891 /*E
892     MatSORType - What type of (S)SOR to perform
893 
894     Level: beginner
895 
896    May be bitwise ORd together
897 
898    Any additions/changes here MUST also be made in include/finclude/petscmat.h
899 
900    MatSORType may be bitwise ORd together, so do not change the numbers
901 
902 .seealso: MatRelax(), MatPBRelax()
903 E*/
904 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
905               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
906               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
907               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
908 EXTERN PetscErrorCode MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
909 EXTERN PetscErrorCode MatPBRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
910 
911 /*
912     These routines are for efficiently computing Jacobians via finite differences.
913 */
914 
915 /*E
916     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
917        with an optional dynamic library name, for example
918        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
919 
920    Level: beginner
921 
922 .seealso: MatGetColoring()
923 E*/
924 #define MatColoringType char*
925 #define MATCOLORING_NATURAL "natural"
926 #define MATCOLORING_SL      "sl"
927 #define MATCOLORING_LF      "lf"
928 #define MATCOLORING_ID      "id"
929 
930 EXTERN PetscErrorCode MatGetColoring(Mat,const MatColoringType,ISColoring*);
931 EXTERN PetscErrorCode MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatColoringType,ISColoring *));
932 
933 /*MC
934    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
935                                matrix package.
936 
937    Synopsis:
938    PetscErrorCode MatColoringRegisterDynamic(char *name_coloring,char *path,char *name_create,PetscErrorCode (*routine_create)(MatColoring))
939 
940    Not Collective
941 
942    Input Parameters:
943 +  sname - name of Coloring (for example MATCOLORING_SL)
944 .  path - location of library where creation routine is
945 .  name - name of function that creates the Coloring type, a string
946 -  function - function pointer that creates the coloring
947 
948    Level: developer
949 
950    If dynamic libraries are used, then the fourth input argument (function)
951    is ignored.
952 
953    Sample usage:
954 .vb
955    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
956                "MyColor",MyColor);
957 .ve
958 
959    Then, your partitioner can be chosen with the procedural interface via
960 $     MatColoringSetType(part,"my_color")
961    or at runtime via the option
962 $     -mat_coloring_type my_color
963 
964    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
965 
966 .keywords: matrix, Coloring, register
967 
968 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
969 M*/
970 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
971 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
972 #else
973 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
974 #endif
975 
976 EXTERN PetscErrorCode        MatColoringRegisterAll(const char[]);
977 extern PetscTruth MatColoringRegisterAllCalled;
978 EXTERN PetscErrorCode        MatColoringRegisterDestroy(void);
979 EXTERN PetscErrorCode        MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
980 
981 /*S
982      MatFDColoring - Object for computing a sparse Jacobian via finite differences
983         and coloring
984 
985    Level: beginner
986 
987   Concepts: coloring, sparse Jacobian, finite differences
988 
989 .seealso:  MatFDColoringCreate()
990 S*/
991 typedef struct _p_MatFDColoring *MatFDColoring;
992 
993 EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
994 EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring);
995 EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
996 EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
997 EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
998 EXTERN PetscErrorCode MatFDColoringSetFrequency(MatFDColoring,PetscInt);
999 EXTERN PetscErrorCode MatFDColoringGetFrequency(MatFDColoring,PetscInt*);
1000 EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1001 EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1002 EXTERN PetscErrorCode MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
1003 EXTERN PetscErrorCode MatFDColoringSetRecompute(MatFDColoring);
1004 EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1005 EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1006 /*
1007     These routines are for partitioning matrices: currently used only
1008   for adjacency matrix, MatCreateMPIAdj().
1009 */
1010 
1011 /*S
1012      MatPartitioning - Object for managing the partitioning of a matrix or graph
1013 
1014    Level: beginner
1015 
1016   Concepts: partitioning
1017 
1018 .seealso:  MatPartitioningCreate(), MatPartitioningType
1019 S*/
1020 typedef struct _p_MatPartitioning *MatPartitioning;
1021 
1022 /*E
1023     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1024        with an optional dynamic library name, for example
1025        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1026 
1027    Level: beginner
1028 
1029 .seealso: MatPartitioningCreate(), MatPartitioning
1030 E*/
1031 #define MatPartitioningType char*
1032 #define MAT_PARTITIONING_CURRENT  "current"
1033 #define MAT_PARTITIONING_PARMETIS "parmetis"
1034 #define MAT_PARTITIONING_CHACO    "chaco"
1035 #define MAT_PARTITIONING_JOSTLE   "jostle"
1036 #define MAT_PARTITIONING_PARTY    "party"
1037 #define MAT_PARTITIONING_SCOTCH   "scotch"
1038 
1039 
1040 EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1041 EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1042 EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1043 EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1044 EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1045 EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1046 EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1047 EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning);
1048 
1049 EXTERN PetscErrorCode MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1050 
1051 /*MC
1052    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1053    matrix package.
1054 
1055    Synopsis:
1056    PetscErrorCode MatPartitioningRegisterDynamic(char *name_partitioning,char *path,char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1057 
1058    Not Collective
1059 
1060    Input Parameters:
1061 +  sname - name of partitioning (for example MAT_PARTITIONING_CURRENT) or parmetis
1062 .  path - location of library where creation routine is
1063 .  name - name of function that creates the partitioning type, a string
1064 -  function - function pointer that creates the partitioning type
1065 
1066    Level: developer
1067 
1068    If dynamic libraries are used, then the fourth input argument (function)
1069    is ignored.
1070 
1071    Sample usage:
1072 .vb
1073    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1074                "MyPartCreate",MyPartCreate);
1075 .ve
1076 
1077    Then, your partitioner can be chosen with the procedural interface via
1078 $     MatPartitioningSetType(part,"my_part")
1079    or at runtime via the option
1080 $     -mat_partitioning_type my_part
1081 
1082    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
1083 
1084 .keywords: matrix, partitioning, register
1085 
1086 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1087 M*/
1088 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1089 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1090 #else
1091 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1092 #endif
1093 
1094 EXTERN PetscErrorCode        MatPartitioningRegisterAll(const char[]);
1095 extern PetscTruth MatPartitioningRegisterAllCalled;
1096 EXTERN PetscErrorCode        MatPartitioningRegisterDestroy(void);
1097 
1098 EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1099 EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1100 EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1101 
1102 EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1103 
1104 EXTERN PetscErrorCode MatPartitioningJostleSetCoarseLevel(MatPartitioning,PetscReal);
1105 EXTERN PetscErrorCode MatPartitioningJostleSetCoarseSequential(MatPartitioning);
1106 
1107 typedef enum { MP_CHACO_MULTILEVEL_KL, MP_CHACO_SPECTRAL, MP_CHACO_LINEAR,
1108     MP_CHACO_RANDOM, MP_CHACO_SCATTERED } MPChacoGlobalType;
1109 EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1110 typedef enum { MP_CHACO_KERNIGHAN_LIN, MP_CHACO_NONE } MPChacoLocalType;
1111 EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1112 EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1113 typedef enum { MP_CHACO_LANCZOS, MP_CHACO_RQI_SYMMLQ } MPChacoEigenType;
1114 EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1115 EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1116 EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1117 
1118 #define MP_PARTY_OPT "opt"
1119 #define MP_PARTY_LIN "lin"
1120 #define MP_PARTY_SCA "sca"
1121 #define MP_PARTY_RAN "ran"
1122 #define MP_PARTY_GBF "gbf"
1123 #define MP_PARTY_GCF "gcf"
1124 #define MP_PARTY_BUB "bub"
1125 #define MP_PARTY_DEF "def"
1126 EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char*);
1127 #define MP_PARTY_HELPFUL_SETS "hs"
1128 #define MP_PARTY_KERNIGHAN_LIN "kl"
1129 #define MP_PARTY_NONE "no"
1130 EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char*);
1131 EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1132 EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscTruth);
1133 EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscTruth);
1134 
1135 typedef enum { MP_SCOTCH_GREEDY, MP_SCOTCH_GPS, MP_SCOTCH_GR_GPS } MPScotchGlobalType;
1136 EXTERN PetscErrorCode MatPartitioningScotchSetArch(MatPartitioning,const char*);
1137 EXTERN PetscErrorCode MatPartitioningScotchSetMultilevel(MatPartitioning);
1138 EXTERN PetscErrorCode MatPartitioningScotchSetGlobal(MatPartitioning,MPScotchGlobalType);
1139 EXTERN PetscErrorCode MatPartitioningScotchSetCoarseLevel(MatPartitioning,PetscReal);
1140 EXTERN PetscErrorCode MatPartitioningScotchSetHostList(MatPartitioning,const char*);
1141 typedef enum { MP_SCOTCH_KERNIGHAN_LIN, MP_SCOTCH_NONE } MPScotchLocalType;
1142 EXTERN PetscErrorCode MatPartitioningScotchSetLocal(MatPartitioning,MPScotchLocalType);
1143 EXTERN PetscErrorCode MatPartitioningScotchSetMapping(MatPartitioning);
1144 EXTERN PetscErrorCode MatPartitioningScotchSetStrategy(MatPartitioning,char*);
1145 
1146 /*
1147     If you add entries here you must also add them to finclude/petscmat.h
1148 */
1149 typedef enum { MATOP_SET_VALUES=0,
1150                MATOP_GET_ROW=1,
1151                MATOP_RESTORE_ROW=2,
1152                MATOP_MULT=3,
1153                MATOP_MULT_ADD=4,
1154                MATOP_MULT_TRANSPOSE=5,
1155                MATOP_MULT_TRANSPOSE_ADD=6,
1156                MATOP_SOLVE=7,
1157                MATOP_SOLVE_ADD=8,
1158                MATOP_SOLVE_TRANSPOSE=9,
1159                MATOP_SOLVE_TRANSPOSE_ADD=10,
1160                MATOP_LUFACTOR=11,
1161                MATOP_CHOLESKYFACTOR=12,
1162                MATOP_RELAX=13,
1163                MATOP_TRANSPOSE=14,
1164                MATOP_GETINFO=15,
1165                MATOP_EQUAL=16,
1166                MATOP_GET_DIAGONAL=17,
1167                MATOP_DIAGONAL_SCALE=18,
1168                MATOP_NORM=19,
1169                MATOP_ASSEMBLY_BEGIN=20,
1170                MATOP_ASSEMBLY_END=21,
1171                MATOP_COMPRESS=22,
1172                MATOP_SET_OPTION=23,
1173                MATOP_ZERO_ENTRIES=24,
1174                MATOP_ZERO_ROWS=25,
1175                MATOP_LUFACTOR_SYMBOLIC=26,
1176                MATOP_LUFACTOR_NUMERIC=27,
1177                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
1178                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
1179                MATOP_SETUP_PREALLOCATION=30,
1180                MATOP_ILUFACTOR_SYMBOLIC=31,
1181                MATOP_ICCFACTOR_SYMBOLIC=32,
1182                MATOP_GET_ARRAY=33,
1183                MATOP_RESTORE_ARRAY=34,
1184                MATOP_DUPLCIATE=35,
1185                MATOP_FORWARD_SOLVE=36,
1186                MATOP_BACKWARD_SOLVE=37,
1187                MATOP_ILUFACTOR=38,
1188                MATOP_ICCFACTOR=39,
1189                MATOP_AXPY=40,
1190                MATOP_GET_SUBMATRICES=41,
1191                MATOP_INCREASE_OVERLAP=42,
1192                MATOP_GET_VALUES=43,
1193                MATOP_COPY=44,
1194                MATOP_PRINT_HELP=45,
1195                MATOP_SCALE=46,
1196                MATOP_SHIFT=47,
1197                MATOP_DIAGONAL_SHIFT=48,
1198                MATOP_ILUDT_FACTOR=49,
1199                MATOP_GET_BLOCK_SIZE=50,
1200                MATOP_GET_ROW_IJ=51,
1201                MATOP_RESTORE_ROW_IJ=52,
1202                MATOP_GET_COLUMN_IJ=53,
1203                MATOP_RESTORE_COLUMN_IJ=54,
1204                MATOP_FDCOLORING_CREATE=55,
1205                MATOP_COLORING_PATCH=56,
1206                MATOP_SET_UNFACTORED=57,
1207                MATOP_PERMUTE=58,
1208                MATOP_SET_VALUES_BLOCKED=59,
1209                MATOP_GET_SUBMATRIX=60,
1210                MATOP_DESTROY=61,
1211                MATOP_VIEW=62,
1212                MATOP_GET_MAPS=63,
1213                MATOP_USE_SCALED_FORM=64,
1214                MATOP_SCALE_SYSTEM=65,
1215                MATOP_UNSCALE_SYSTEM=66,
1216                MATOP_SET_LOCAL_TO_GLOBAL_MAP=67,
1217                MATOP_SET_VALUES_LOCAL=68,
1218                MATOP_ZERO_ROWS_LOCAL=69,
1219                MATOP_GET_ROW_MAX=70,
1220                MATOP_CONVERT=71,
1221                MATOP_SET_COLORING=72,
1222                MATOP_SET_VALUES_ADIC=73,
1223                MATOP_SET_VALUES_ADIFOR=74,
1224                MATOP_FD_COLORING_APPLY=75,
1225                MATOP_SET_FROM_OPTIONS=76,
1226                MATOP_MULT_CON=77,
1227                MATOP_MULT_TRANSPOSE_CON=78,
1228                MATOP_ILU_FACTOR_SYMBOLIC_CON=79,
1229                MATOP_PERMUTE_SPARSIFY=80,
1230                MATOP_MULT_MULTIPLE=81,
1231                MATOP_SOLVE_MULTIPLE=82,
1232                MATOP_GET_INERTIA=83,
1233                MATOP_LOAD=84,
1234                MATOP_IS_SYMMETRIC=85,
1235                MATOP_IS_HERMITIAN=86,
1236                MATOP_IS_STRUCTURALLY_SYMMETRIC=87,
1237                MATOP_PB_RELAX=88,
1238                MATOP_GET_VECS=89,
1239                MATOP_MAT_MULT=90,
1240                MATOP_MAT_MULT_SYMBOLIC=91,
1241                MATOP_MAT_MULT_NUMERIC=92,
1242                MATOP_PTAP=93,
1243                MATOP_PTAP_SYMBOLIC=94,
1244                MATOP_PTAP_NUMERIC=95,
1245                MATOP_MAT_MULTTRANSPOSE=96,
1246                MATOP_MAT_MULTTRANSPOSE_SYMBOLIC=97,
1247                MATOP_MAT_MULTTRANSPOSE_NUMERIC=98
1248              } MatOperation;
1249 EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscTruth*);
1250 EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1251 EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1252 EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1253 
1254 /*
1255    Codes for matrices stored on disk. By default they are
1256  stored in a universal format. By changing the format with
1257  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
1258  be stored in a way natural for the matrix, for example dense matrices
1259  would be stored as dense. Matrices stored this way may only be
1260  read into matrices of the same time.
1261 */
1262 #define MATRIX_BINARY_FORMAT_DENSE -1
1263 
1264 EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1265 EXTERN PetscErrorCode MatSeqAIJGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1266 EXTERN PetscErrorCode MatMPIRowbsGetColor(Mat,ISColoring *);
1267 
1268 EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1269 
1270 /*S
1271      MatNullSpace - Object that removes a null space from a vector, i.e.
1272          orthogonalizes the vector to a subsapce
1273 
1274    Level: advanced
1275 
1276   Concepts: matrix; linear operator, null space
1277 
1278   Users manual sections:
1279 .   sec_singular
1280 
1281 .seealso:  MatNullSpaceCreate()
1282 S*/
1283 typedef struct _p_MatNullSpace* MatNullSpace;
1284 
1285 EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscTruth,PetscInt,const Vec[],MatNullSpace*);
1286 EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace);
1287 EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1288 EXTERN PetscErrorCode MatNullSpaceAttach(Mat,MatNullSpace);
1289 EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat);
1290 
1291 EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1292 EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1293 EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1294 
1295 
1296 EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1297 EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1298 EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1299 
1300 EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1301 
1302 EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1303 
1304 EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1305 EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1306 
1307 PETSC_EXTERN_CXX_END
1308 #endif
1309