xref: /petsc/include/petscmat.h (revision 73e7a55880f7211d317aabb87c8bd5e70ea1847f)
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,
265               MAT_USE_COMPRESSEDROW=89,MAT_DO_NOT_USE_COMPRESSEDROW=90} MatOption;
266 EXTERN PetscErrorCode MatSetOption(Mat,MatOption);
267 EXTERN PetscErrorCode MatGetType(Mat,MatType*);
268 
269 EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
270 EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
271 EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
272 EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
273 EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
274 EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
275 EXTERN PetscErrorCode MatGetArray(Mat,PetscScalar *[]);
276 EXTERN PetscErrorCode MatRestoreArray(Mat,PetscScalar *[]);
277 EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
278 EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
279 
280 EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
281 EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
282 EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
283 EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscTruth*);
284 EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
285 EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
286 EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
287 
288 /*E
289     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
290   its numerical values copied over or just its nonzero structure.
291 
292     Level: beginner
293 
294    Any additions/changes here MUST also be made in include/finclude/petscmat.h
295 
296 .seealso: MatDuplicate()
297 E*/
298 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption;
299 
300 EXTERN PetscErrorCode MatConvertRegister(const char[],const char[],const char[],PetscErrorCode (*)(Mat,MatType,Mat*));
301 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
302 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0)
303 #else
304 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d)
305 #endif
306 EXTERN PetscErrorCode        MatConvertRegisterAll(const char[]);
307 EXTERN PetscErrorCode        MatConvertRegisterDestroy(void);
308 extern PetscTruth MatConvertRegisterAllCalled;
309 extern PetscFList MatConvertList;
310 EXTERN PetscErrorCode        MatConvert(Mat,const MatType,Mat*);
311 EXTERN PetscErrorCode        MatDuplicate(Mat,MatDuplicateOption,Mat*);
312 
313 /*E
314     MatStructure - Indicates if the matrix has the same nonzero structure
315 
316     Level: beginner
317 
318    Any additions/changes here MUST also be made in include/finclude/petscmat.h
319 
320 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
321 E*/
322 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
323 
324 EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
325 EXTERN PetscErrorCode MatView(Mat,PetscViewer);
326 EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscTruth*);
327 EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscTruth*,PetscTruth*);
328 EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscTruth*,PetscTruth*);
329 EXTERN PetscErrorCode MatLoad(PetscViewer,const MatType,Mat*);
330 
331 EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscTruth,PetscInt*,PetscInt *[],PetscInt *[],PetscTruth *);
332 EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscTruth,PetscInt *,PetscInt *[],PetscInt *[],PetscTruth *);
333 EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscTruth,PetscInt*,PetscInt *[],PetscInt *[],PetscTruth *);
334 EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscTruth,PetscInt *,PetscInt *[],PetscInt *[],PetscTruth *);
335 
336 /*S
337      MatInfo - Context of matrix information, used with MatGetInfo()
338 
339    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
340 
341    Level: intermediate
342 
343   Concepts: matrix^nonzero information
344 
345 .seealso:  MatGetInfo(), MatInfoType
346 S*/
347 typedef struct {
348   PetscLogDouble rows_global,columns_global;         /* number of global rows and columns */
349   PetscLogDouble rows_local,columns_local;           /* number of local rows and columns */
350   PetscLogDouble block_size;                         /* block size */
351   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
352   PetscLogDouble memory;                             /* memory allocated */
353   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
354   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
355   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
356   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
357 } MatInfo;
358 
359 /*E
360     MatInfoType - Indicates if you want information about the local part of the matrix,
361      the entire parallel matrix or the maximum over all the local parts.
362 
363     Level: beginner
364 
365    Any additions/changes here MUST also be made in include/finclude/petscmat.h
366 
367 .seealso: MatGetInfo(), MatInfo
368 E*/
369 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
370 EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
371 EXTERN PetscErrorCode MatValid(Mat,PetscTruth*);
372 EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
373 EXTERN PetscErrorCode MatGetRowMax(Mat,Vec);
374 EXTERN PetscErrorCode MatTranspose(Mat,Mat*);
375 EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
376 EXTERN PetscErrorCode MatPermuteSparsify(Mat,PetscInt,PetscReal,PetscReal,IS,IS,Mat *);
377 EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
378 EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
379 EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscTruth*);
380 
381 EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
382 EXTERN PetscErrorCode MatZeroEntries(Mat);
383 EXTERN PetscErrorCode MatZeroRows(Mat,IS,const PetscScalar*);
384 EXTERN PetscErrorCode MatZeroColumns(Mat,IS,const PetscScalar*);
385 
386 EXTERN PetscErrorCode MatUseScaledForm(Mat,PetscTruth);
387 EXTERN PetscErrorCode MatScaleSystem(Mat,Vec,Vec);
388 EXTERN PetscErrorCode MatUnScaleSystem(Mat,Vec,Vec);
389 
390 EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
391 EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
392 EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
393 
394 /*E
395     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
396      or MatGetSubMatrix() are to be reused to store the new matrix values.
397 
398     Level: beginner
399 
400    Any additions/changes here MUST also be made in include/finclude/petscmat.h
401 
402 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices()
403 E*/
404 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse;
405 EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
406 EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
407 EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,PetscInt,MatReuse,Mat *);
408 EXTERN PetscErrorCode MatMerge(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
409 EXTERN PetscErrorCode MatMerge_SeqsToMPI(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
410 EXTERN PetscErrorCode MatMerge_SeqsToMPISymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
411 EXTERN PetscErrorCode MatMerge_SeqsToMPINumeric(Mat,Mat);
412 EXTERN PetscErrorCode MatDestroy_MPIAIJ_SeqsToMPI(Mat);
413 EXTERN PetscErrorCode MatGetLocalMat(Mat,MatReuse,Mat*);
414 EXTERN PetscErrorCode MatGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
415 EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,PetscInt*,Mat*);
416 EXTERN PetscErrorCode MatGetBrowsOfAoCols(Mat,Mat,MatReuse,PetscInt**,PetscScalar**,Mat*);
417 
418 EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
419 
420 EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
421 EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
422 EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
423 
424 EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
425 EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
426 EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
427 
428 EXTERN PetscErrorCode MatMatMultTranspose(Mat,Mat,MatReuse,PetscReal,Mat*);
429 EXTERN PetscErrorCode MatMatMultTransposeSymbolic(Mat,Mat,PetscReal,Mat*);
430 EXTERN PetscErrorCode MatMatMultTransposeNumeric(Mat,Mat,Mat);
431 
432 EXTERN PetscErrorCode MatAXPY(const PetscScalar *,Mat,Mat,MatStructure);
433 EXTERN PetscErrorCode MatAYPX(const PetscScalar *,Mat,Mat);
434 EXTERN PetscErrorCode MatCompress(Mat);
435 
436 EXTERN PetscErrorCode MatScale(const PetscScalar *,Mat);
437 EXTERN PetscErrorCode MatShift(const PetscScalar *,Mat);
438 
439 EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
440 EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
441 EXTERN PetscErrorCode MatZeroRowsLocal(Mat,IS,const PetscScalar*);
442 EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
443 EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
444 
445 EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
446 EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
447 
448 EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
449 EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
450 EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
451 EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
452 
453 /*MC
454    MatPreallocInitialize - Begins the block of code that will count the number of nonzeros per
455        row in a matrix providing the data that one can use to correctly preallocate the matrix.
456 
457    Synopsis:
458    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
459 
460    Collective on MPI_Comm
461 
462    Input Parameters:
463 +  comm - the communicator that will share the eventually allocated matrix
464 .  nrows - the number of rows in the matrix
465 -  ncols - the number of columns in the matrix
466 
467    Output Parameters:
468 +  dnz - the array that will be passed to the matrix preallocation routines
469 -  ozn - the other array passed to the matrix preallocation routines
470 
471 
472    Level: intermediate
473 
474    Notes:
475    See the chapter in the users manual on performance for more details
476 
477    Do not malloc or free dnz and onz, that is handled internally by these routines
478 
479    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
480 
481   Concepts: preallocation^Matrix
482 
483 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
484           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
485 M*/
486 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
487 { \
488   PetscErrorCode _4_ierr; PetscInt __tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
489   _4_ierr = PetscMalloc(2*__tmp*sizeof(PetscInt),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
490   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(PetscInt));CHKERRQ(_4_ierr);\
491   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
492   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
493 
494 /*MC
495    MatPreallocSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
496        row in a matrix providing the data that one can use to correctly preallocate the matrix.
497 
498    Synopsis:
499    PetscErrorCode MatPreallocateSymmetricInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
500 
501    Collective on MPI_Comm
502 
503    Input Parameters:
504 +  comm - the communicator that will share the eventually allocated matrix
505 .  nrows - the number of rows in the matrix
506 -  ncols - the number of columns in the matrix
507 
508    Output Parameters:
509 +  dnz - the array that will be passed to the matrix preallocation routines
510 -  ozn - the other array passed to the matrix preallocation routines
511 
512 
513    Level: intermediate
514 
515    Notes:
516    See the chapter in the users manual on performance for more details
517 
518    Do not malloc or free dnz and onz, that is handled internally by these routines
519 
520   Concepts: preallocation^Matrix
521 
522 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
523           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
524 M*/
525 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
526 { \
527   PetscErrorCode _4_ierr; PetscInt __tmp = (nrows),__ctmp = (ncols),__rstart,__end; \
528   _4_ierr = PetscMalloc(2*__tmp*sizeof(PetscInt),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
529   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(PetscInt));CHKERRQ(_4_ierr);\
530   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
531   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
532 
533 /*MC
534    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
535        inserted using a local number of the rows and columns
536 
537    Synopsis:
538    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
539 
540    Not Collective
541 
542    Input Parameters:
543 +  map - the mapping between local numbering and global numbering
544 .  nrows - the number of rows indicated
545 .  rows - the indices of the rows
546 .  ncols - the number of columns in the matrix
547 .  cols - the columns indicated
548 .  dnz - the array that will be passed to the matrix preallocation routines
549 -  ozn - the other array passed to the matrix preallocation routines
550 
551 
552    Level: intermediate
553 
554    Notes:
555    See the chapter in the users manual on performance for more details
556 
557    Do not malloc or free dnz and onz, that is handled internally by these routines
558 
559   Concepts: preallocation^Matrix
560 
561 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
562           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
563 M*/
564 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
565 {\
566   PetscInt __l;\
567   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
568   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
569   for (__l=0;__l<nrows;__l++) {\
570     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
571   }\
572 }
573 
574 /*MC
575    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
576        inserted using a local number of the rows and columns
577 
578    Synopsis:
579    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
580 
581    Not Collective
582 
583    Input Parameters:
584 +  map - the mapping between local numbering and global numbering
585 .  nrows - the number of rows indicated
586 .  rows - the indices of the rows
587 .  ncols - the number of columns in the matrix
588 .  cols - the columns indicated
589 .  dnz - the array that will be passed to the matrix preallocation routines
590 -  ozn - the other array passed to the matrix preallocation routines
591 
592 
593    Level: intermediate
594 
595    Notes:
596    See the chapter in the users manual on performance for more details
597 
598    Do not malloc or free dnz and onz that is handled internally by these routines
599 
600   Concepts: preallocation^Matrix
601 
602 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
603           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
604 M*/
605 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
606 {\
607   PetscInt __l;\
608   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
609   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
610   for (__l=0;__l<nrows;__l++) {\
611     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
612   }\
613 }
614 
615 /*MC
616    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
617        inserted using a local number of the rows and columns
618 
619    Synopsis:
620    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
621 
622    Not Collective
623 
624    Input Parameters:
625 +  nrows - the number of rows indicated
626 .  rows - the indices of the rows
627 .  ncols - the number of columns in the matrix
628 -  cols - the columns indicated
629 
630    Output Parameters:
631 +  dnz - the array that will be passed to the matrix preallocation routines
632 -  ozn - the other array passed to the matrix preallocation routines
633 
634 
635    Level: intermediate
636 
637    Notes:
638    See the chapter in the users manual on performance for more details
639 
640    Do not malloc or free dnz and onz that is handled internally by these routines
641 
642   Concepts: preallocation^Matrix
643 
644 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
645           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
646 M*/
647 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
648 { PetscInt __i; \
649   for (__i=0; __i<nc; __i++) {\
650     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
651   }\
652   dnz[row - __rstart] = nc - onz[row - __rstart];\
653 }
654 
655 /*MC
656    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
657        inserted using a local number of the rows and columns
658 
659    Synopsis:
660    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
661 
662    Not Collective
663 
664    Input Parameters:
665 +  nrows - the number of rows indicated
666 .  rows - the indices of the rows
667 .  ncols - the number of columns in the matrix
668 .  cols - the columns indicated
669 .  dnz - the array that will be passed to the matrix preallocation routines
670 -  ozn - the other array passed to the matrix preallocation routines
671 
672 
673    Level: intermediate
674 
675    Notes:
676    See the chapter in the users manual on performance for more details
677 
678    Do not malloc or free dnz and onz that is handled internally by these routines
679 
680   Concepts: preallocation^Matrix
681 
682 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
683           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
684 M*/
685 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
686 { PetscInt __i; \
687   for (__i=0; __i<nc; __i++) {\
688     if (cols[__i] >= __end) onz[row - __rstart]++; \
689     else if (cols[__i] >= row) dnz[row - __rstart]++;\
690   }\
691 }
692 
693 /*MC
694    MatPreallocFinalize - Ends the block of code that will count the number of nonzeros per
695        row in a matrix providing the data that one can use to correctly preallocate the matrix.
696 
697    Synopsis:
698    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
699 
700    Collective on MPI_Comm
701 
702    Input Parameters:
703 +  dnz - the array that will be passed to the matrix preallocation routines
704 -  ozn - the other array passed to the matrix preallocation routines
705 
706 
707    Level: intermediate
708 
709    Notes:
710    See the chapter in the users manual on performance for more details
711 
712    Do not malloc or free dnz and onz that is handled internally by these routines
713 
714   Concepts: preallocation^Matrix
715 
716 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
717           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
718 M*/
719 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);}
720 
721 
722 
723 /* Routines unique to particular data structures */
724 EXTERN PetscErrorCode MatShellGetContext(Mat,void **);
725 
726 EXTERN PetscErrorCode MatBDiagGetData(Mat,PetscInt*,PetscInt*,PetscInt*[],PetscInt*[],PetscScalar***);
727 EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
728 EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
729 EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
730 
731 EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
732 EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
733 EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
734 EXTERN PetscErrorCode MatSeqDensePreallocation(Mat,PetscScalar[]);
735 EXTERN PetscErrorCode MatSeqBDiagSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscScalar*[]);
736 EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
737 
738 EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
739 EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
740 EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
741 EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
742 EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
743 EXTERN PetscErrorCode MatMPIDensePreallocation(Mat,PetscScalar[]);
744 EXTERN PetscErrorCode MatMPIBDiagSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscScalar*[]);
745 EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
746 EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
747 EXTERN PetscErrorCode MatMPIRowbsSetPreallocation(Mat,PetscInt,const PetscInt[]);
748 EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
749 EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
750 EXTERN PetscErrorCode MatAdicSetLocalFunction(Mat,void (*)(void));
751 
752 EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
753 
754 EXTERN PetscErrorCode MatStoreValues(Mat);
755 EXTERN PetscErrorCode MatRetrieveValues(Mat);
756 
757 EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
758 
759 /*
760   These routines are not usually accessed directly, rather solving is
761   done through the KSP and PC interfaces.
762 */
763 
764 /*E
765     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
766        with an optional dynamic library name, for example
767        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
768 
769    Level: beginner
770 
771 .seealso: MatGetOrdering()
772 E*/
773 #define MatOrderingType char*
774 #define MATORDERING_NATURAL   "natural"
775 #define MATORDERING_ND        "nd"
776 #define MATORDERING_1WD       "1wd"
777 #define MATORDERING_RCM       "rcm"
778 #define MATORDERING_QMD       "qmd"
779 #define MATORDERING_ROWLENGTH "rowlength"
780 #define MATORDERING_DSC_ND    "dsc_nd"
781 #define MATORDERING_DSC_MMD   "dsc_mmd"
782 #define MATORDERING_DSC_MDF   "dsc_mdf"
783 #define MATORDERING_CONSTRAINED "constrained"
784 #define MATORDERING_IDENTITY  "identity"
785 #define MATORDERING_REVERSE   "reverse"
786 
787 EXTERN PetscErrorCode MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
788 EXTERN PetscErrorCode MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
789 
790 /*MC
791    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the
792                                matrix package.
793 
794    Synopsis:
795    PetscErrorCode MatOrderingRegisterDynamic(char *name_ordering,char *path,char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
796 
797    Not Collective
798 
799    Input Parameters:
800 +  sname - name of ordering (for example MATORDERING_ND)
801 .  path - location of library where creation routine is
802 .  name - name of function that creates the ordering type,a string
803 -  function - function pointer that creates the ordering
804 
805    Level: developer
806 
807    If dynamic libraries are used, then the fourth input argument (function)
808    is ignored.
809 
810    Sample usage:
811 .vb
812    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
813                "MyOrder",MyOrder);
814 .ve
815 
816    Then, your partitioner can be chosen with the procedural interface via
817 $     MatOrderingSetType(part,"my_order)
818    or at runtime via the option
819 $     -pc_ilu_mat_ordering_type my_order
820 $     -pc_lu_mat_ordering_type my_order
821 
822    ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
823 
824 .keywords: matrix, ordering, register
825 
826 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
827 M*/
828 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
829 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
830 #else
831 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
832 #endif
833 
834 EXTERN PetscErrorCode        MatOrderingRegisterDestroy(void);
835 EXTERN PetscErrorCode        MatOrderingRegisterAll(const char[]);
836 extern PetscTruth MatOrderingRegisterAllCalled;
837 extern PetscFList MatOrderingList;
838 
839 EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
840 
841 /*S
842    MatFactorInfo - Data based into the matrix factorization routines
843 
844    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE
845 
846    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
847 
848    Level: developer
849 
850 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
851           MatFactorInfoInitialize()
852 
853 S*/
854 typedef struct {
855   PetscReal     damping;        /* scaling of identity added to matrix to prevent zero pivots */
856   PetscReal     shift;          /* if true, shift until positive pivots */
857   PetscReal     shift_fraction; /* record shift fraction taken */
858   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
859   PetscReal     dt;             /* drop tolerance */
860   PetscReal     dtcol;          /* tolerance for pivoting */
861   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
862   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
863   PetscReal     levels;         /* ICC/ILU(levels) */
864   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
865                                    factorization may be faster if do not pivot */
866   PetscReal     zeropivot;      /* pivot is called zero if less than this */
867 } MatFactorInfo;
868 
869 EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
870 EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,MatFactorInfo*);
871 EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
872 EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat*);
873 EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,MatFactorInfo*);
874 EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,MatFactorInfo*);
875 EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
876 EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
877 EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
878 EXTERN PetscErrorCode MatICCFactor(Mat,IS,MatFactorInfo*);
879 EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat*);
880 EXTERN PetscErrorCode MatILUDTFactor(Mat,MatFactorInfo*,IS,IS,Mat *);
881 EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
882 EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
883 EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
884 EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
885 EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
886 EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
887 EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
888 EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
889 
890 EXTERN PetscErrorCode MatSetUnfactored(Mat);
891 
892 /*E
893     MatSORType - What type of (S)SOR to perform
894 
895     Level: beginner
896 
897    May be bitwise ORd together
898 
899    Any additions/changes here MUST also be made in include/finclude/petscmat.h
900 
901    MatSORType may be bitwise ORd together, so do not change the numbers
902 
903 .seealso: MatRelax(), MatPBRelax()
904 E*/
905 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
906               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
907               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
908               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
909 EXTERN PetscErrorCode MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
910 EXTERN PetscErrorCode MatPBRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
911 
912 /*
913     These routines are for efficiently computing Jacobians via finite differences.
914 */
915 
916 /*E
917     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
918        with an optional dynamic library name, for example
919        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
920 
921    Level: beginner
922 
923 .seealso: MatGetColoring()
924 E*/
925 #define MatColoringType char*
926 #define MATCOLORING_NATURAL "natural"
927 #define MATCOLORING_SL      "sl"
928 #define MATCOLORING_LF      "lf"
929 #define MATCOLORING_ID      "id"
930 
931 EXTERN PetscErrorCode MatGetColoring(Mat,const MatColoringType,ISColoring*);
932 EXTERN PetscErrorCode MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatColoringType,ISColoring *));
933 
934 /*MC
935    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
936                                matrix package.
937 
938    Synopsis:
939    PetscErrorCode MatColoringRegisterDynamic(char *name_coloring,char *path,char *name_create,PetscErrorCode (*routine_create)(MatColoring))
940 
941    Not Collective
942 
943    Input Parameters:
944 +  sname - name of Coloring (for example MATCOLORING_SL)
945 .  path - location of library where creation routine is
946 .  name - name of function that creates the Coloring type, a string
947 -  function - function pointer that creates the coloring
948 
949    Level: developer
950 
951    If dynamic libraries are used, then the fourth input argument (function)
952    is ignored.
953 
954    Sample usage:
955 .vb
956    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
957                "MyColor",MyColor);
958 .ve
959 
960    Then, your partitioner can be chosen with the procedural interface via
961 $     MatColoringSetType(part,"my_color")
962    or at runtime via the option
963 $     -mat_coloring_type my_color
964 
965    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
966 
967 .keywords: matrix, Coloring, register
968 
969 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
970 M*/
971 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
972 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
973 #else
974 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
975 #endif
976 
977 EXTERN PetscErrorCode        MatColoringRegisterAll(const char[]);
978 extern PetscTruth MatColoringRegisterAllCalled;
979 EXTERN PetscErrorCode        MatColoringRegisterDestroy(void);
980 EXTERN PetscErrorCode        MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
981 
982 /*S
983      MatFDColoring - Object for computing a sparse Jacobian via finite differences
984         and coloring
985 
986    Level: beginner
987 
988   Concepts: coloring, sparse Jacobian, finite differences
989 
990 .seealso:  MatFDColoringCreate()
991 S*/
992 typedef struct _p_MatFDColoring *MatFDColoring;
993 
994 EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
995 EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring);
996 EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
997 EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
998 EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
999 EXTERN PetscErrorCode MatFDColoringSetFrequency(MatFDColoring,PetscInt);
1000 EXTERN PetscErrorCode MatFDColoringGetFrequency(MatFDColoring,PetscInt*);
1001 EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1002 EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1003 EXTERN PetscErrorCode MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
1004 EXTERN PetscErrorCode MatFDColoringSetRecompute(MatFDColoring);
1005 EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1006 EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1007 /*
1008     These routines are for partitioning matrices: currently used only
1009   for adjacency matrix, MatCreateMPIAdj().
1010 */
1011 
1012 /*S
1013      MatPartitioning - Object for managing the partitioning of a matrix or graph
1014 
1015    Level: beginner
1016 
1017   Concepts: partitioning
1018 
1019 .seealso:  MatPartitioningCreate(), MatPartitioningType
1020 S*/
1021 typedef struct _p_MatPartitioning *MatPartitioning;
1022 
1023 /*E
1024     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1025        with an optional dynamic library name, for example
1026        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1027 
1028    Level: beginner
1029 
1030 .seealso: MatPartitioningCreate(), MatPartitioning
1031 E*/
1032 #define MatPartitioningType char*
1033 #define MAT_PARTITIONING_CURRENT  "current"
1034 #define MAT_PARTITIONING_PARMETIS "parmetis"
1035 #define MAT_PARTITIONING_CHACO    "chaco"
1036 #define MAT_PARTITIONING_JOSTLE   "jostle"
1037 #define MAT_PARTITIONING_PARTY    "party"
1038 #define MAT_PARTITIONING_SCOTCH   "scotch"
1039 
1040 
1041 EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1042 EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1043 EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1044 EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1045 EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1046 EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1047 EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1048 EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning);
1049 
1050 EXTERN PetscErrorCode MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1051 
1052 /*MC
1053    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1054    matrix package.
1055 
1056    Synopsis:
1057    PetscErrorCode MatPartitioningRegisterDynamic(char *name_partitioning,char *path,char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1058 
1059    Not Collective
1060 
1061    Input Parameters:
1062 +  sname - name of partitioning (for example MAT_PARTITIONING_CURRENT) or parmetis
1063 .  path - location of library where creation routine is
1064 .  name - name of function that creates the partitioning type, a string
1065 -  function - function pointer that creates the partitioning type
1066 
1067    Level: developer
1068 
1069    If dynamic libraries are used, then the fourth input argument (function)
1070    is ignored.
1071 
1072    Sample usage:
1073 .vb
1074    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1075                "MyPartCreate",MyPartCreate);
1076 .ve
1077 
1078    Then, your partitioner can be chosen with the procedural interface via
1079 $     MatPartitioningSetType(part,"my_part")
1080    or at runtime via the option
1081 $     -mat_partitioning_type my_part
1082 
1083    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
1084 
1085 .keywords: matrix, partitioning, register
1086 
1087 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1088 M*/
1089 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1090 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1091 #else
1092 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1093 #endif
1094 
1095 EXTERN PetscErrorCode        MatPartitioningRegisterAll(const char[]);
1096 extern PetscTruth MatPartitioningRegisterAllCalled;
1097 EXTERN PetscErrorCode        MatPartitioningRegisterDestroy(void);
1098 
1099 EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1100 EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1101 EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1102 
1103 EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1104 
1105 EXTERN PetscErrorCode MatPartitioningJostleSetCoarseLevel(MatPartitioning,PetscReal);
1106 EXTERN PetscErrorCode MatPartitioningJostleSetCoarseSequential(MatPartitioning);
1107 
1108 typedef enum { MP_CHACO_MULTILEVEL_KL, MP_CHACO_SPECTRAL, MP_CHACO_LINEAR,
1109     MP_CHACO_RANDOM, MP_CHACO_SCATTERED } MPChacoGlobalType;
1110 EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1111 typedef enum { MP_CHACO_KERNIGHAN_LIN, MP_CHACO_NONE } MPChacoLocalType;
1112 EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1113 EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1114 typedef enum { MP_CHACO_LANCZOS, MP_CHACO_RQI_SYMMLQ } MPChacoEigenType;
1115 EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1116 EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1117 EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1118 
1119 #define MP_PARTY_OPT "opt"
1120 #define MP_PARTY_LIN "lin"
1121 #define MP_PARTY_SCA "sca"
1122 #define MP_PARTY_RAN "ran"
1123 #define MP_PARTY_GBF "gbf"
1124 #define MP_PARTY_GCF "gcf"
1125 #define MP_PARTY_BUB "bub"
1126 #define MP_PARTY_DEF "def"
1127 EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char*);
1128 #define MP_PARTY_HELPFUL_SETS "hs"
1129 #define MP_PARTY_KERNIGHAN_LIN "kl"
1130 #define MP_PARTY_NONE "no"
1131 EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char*);
1132 EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1133 EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscTruth);
1134 EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscTruth);
1135 
1136 typedef enum { MP_SCOTCH_GREEDY, MP_SCOTCH_GPS, MP_SCOTCH_GR_GPS } MPScotchGlobalType;
1137 EXTERN PetscErrorCode MatPartitioningScotchSetArch(MatPartitioning,const char*);
1138 EXTERN PetscErrorCode MatPartitioningScotchSetMultilevel(MatPartitioning);
1139 EXTERN PetscErrorCode MatPartitioningScotchSetGlobal(MatPartitioning,MPScotchGlobalType);
1140 EXTERN PetscErrorCode MatPartitioningScotchSetCoarseLevel(MatPartitioning,PetscReal);
1141 EXTERN PetscErrorCode MatPartitioningScotchSetHostList(MatPartitioning,const char*);
1142 typedef enum { MP_SCOTCH_KERNIGHAN_LIN, MP_SCOTCH_NONE } MPScotchLocalType;
1143 EXTERN PetscErrorCode MatPartitioningScotchSetLocal(MatPartitioning,MPScotchLocalType);
1144 EXTERN PetscErrorCode MatPartitioningScotchSetMapping(MatPartitioning);
1145 EXTERN PetscErrorCode MatPartitioningScotchSetStrategy(MatPartitioning,char*);
1146 
1147 /*
1148     If you add entries here you must also add them to finclude/petscmat.h
1149 */
1150 typedef enum { MATOP_SET_VALUES=0,
1151                MATOP_GET_ROW=1,
1152                MATOP_RESTORE_ROW=2,
1153                MATOP_MULT=3,
1154                MATOP_MULT_ADD=4,
1155                MATOP_MULT_TRANSPOSE=5,
1156                MATOP_MULT_TRANSPOSE_ADD=6,
1157                MATOP_SOLVE=7,
1158                MATOP_SOLVE_ADD=8,
1159                MATOP_SOLVE_TRANSPOSE=9,
1160                MATOP_SOLVE_TRANSPOSE_ADD=10,
1161                MATOP_LUFACTOR=11,
1162                MATOP_CHOLESKYFACTOR=12,
1163                MATOP_RELAX=13,
1164                MATOP_TRANSPOSE=14,
1165                MATOP_GETINFO=15,
1166                MATOP_EQUAL=16,
1167                MATOP_GET_DIAGONAL=17,
1168                MATOP_DIAGONAL_SCALE=18,
1169                MATOP_NORM=19,
1170                MATOP_ASSEMBLY_BEGIN=20,
1171                MATOP_ASSEMBLY_END=21,
1172                MATOP_COMPRESS=22,
1173                MATOP_SET_OPTION=23,
1174                MATOP_ZERO_ENTRIES=24,
1175                MATOP_ZERO_ROWS=25,
1176                MATOP_LUFACTOR_SYMBOLIC=26,
1177                MATOP_LUFACTOR_NUMERIC=27,
1178                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
1179                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
1180                MATOP_SETUP_PREALLOCATION=30,
1181                MATOP_ILUFACTOR_SYMBOLIC=31,
1182                MATOP_ICCFACTOR_SYMBOLIC=32,
1183                MATOP_GET_ARRAY=33,
1184                MATOP_RESTORE_ARRAY=34,
1185                MATOP_DUPLCIATE=35,
1186                MATOP_FORWARD_SOLVE=36,
1187                MATOP_BACKWARD_SOLVE=37,
1188                MATOP_ILUFACTOR=38,
1189                MATOP_ICCFACTOR=39,
1190                MATOP_AXPY=40,
1191                MATOP_GET_SUBMATRICES=41,
1192                MATOP_INCREASE_OVERLAP=42,
1193                MATOP_GET_VALUES=43,
1194                MATOP_COPY=44,
1195                MATOP_PRINT_HELP=45,
1196                MATOP_SCALE=46,
1197                MATOP_SHIFT=47,
1198                MATOP_DIAGONAL_SHIFT=48,
1199                MATOP_ILUDT_FACTOR=49,
1200                MATOP_GET_BLOCK_SIZE=50,
1201                MATOP_GET_ROW_IJ=51,
1202                MATOP_RESTORE_ROW_IJ=52,
1203                MATOP_GET_COLUMN_IJ=53,
1204                MATOP_RESTORE_COLUMN_IJ=54,
1205                MATOP_FDCOLORING_CREATE=55,
1206                MATOP_COLORING_PATCH=56,
1207                MATOP_SET_UNFACTORED=57,
1208                MATOP_PERMUTE=58,
1209                MATOP_SET_VALUES_BLOCKED=59,
1210                MATOP_GET_SUBMATRIX=60,
1211                MATOP_DESTROY=61,
1212                MATOP_VIEW=62,
1213                MATOP_GET_MAPS=63,
1214                MATOP_USE_SCALED_FORM=64,
1215                MATOP_SCALE_SYSTEM=65,
1216                MATOP_UNSCALE_SYSTEM=66,
1217                MATOP_SET_LOCAL_TO_GLOBAL_MAP=67,
1218                MATOP_SET_VALUES_LOCAL=68,
1219                MATOP_ZERO_ROWS_LOCAL=69,
1220                MATOP_GET_ROW_MAX=70,
1221                MATOP_CONVERT=71,
1222                MATOP_SET_COLORING=72,
1223                MATOP_SET_VALUES_ADIC=73,
1224                MATOP_SET_VALUES_ADIFOR=74,
1225                MATOP_FD_COLORING_APPLY=75,
1226                MATOP_SET_FROM_OPTIONS=76,
1227                MATOP_MULT_CON=77,
1228                MATOP_MULT_TRANSPOSE_CON=78,
1229                MATOP_ILU_FACTOR_SYMBOLIC_CON=79,
1230                MATOP_PERMUTE_SPARSIFY=80,
1231                MATOP_MULT_MULTIPLE=81,
1232                MATOP_SOLVE_MULTIPLE=82,
1233                MATOP_GET_INERTIA=83,
1234                MATOP_LOAD=84,
1235                MATOP_IS_SYMMETRIC=85,
1236                MATOP_IS_HERMITIAN=86,
1237                MATOP_IS_STRUCTURALLY_SYMMETRIC=87,
1238                MATOP_PB_RELAX=88,
1239                MATOP_GET_VECS=89,
1240                MATOP_MAT_MULT=90,
1241                MATOP_MAT_MULT_SYMBOLIC=91,
1242                MATOP_MAT_MULT_NUMERIC=92,
1243                MATOP_PTAP=93,
1244                MATOP_PTAP_SYMBOLIC=94,
1245                MATOP_PTAP_NUMERIC=95,
1246                MATOP_MAT_MULTTRANSPOSE=96,
1247                MATOP_MAT_MULTTRANSPOSE_SYMBOLIC=97,
1248                MATOP_MAT_MULTTRANSPOSE_NUMERIC=98
1249              } MatOperation;
1250 EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscTruth*);
1251 EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1252 EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1253 EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1254 
1255 /*
1256    Codes for matrices stored on disk. By default they are
1257  stored in a universal format. By changing the format with
1258  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
1259  be stored in a way natural for the matrix, for example dense matrices
1260  would be stored as dense. Matrices stored this way may only be
1261  read into matrices of the same time.
1262 */
1263 #define MATRIX_BINARY_FORMAT_DENSE -1
1264 
1265 EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1266 EXTERN PetscErrorCode MatSeqAIJGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1267 EXTERN PetscErrorCode MatMPIRowbsGetColor(Mat,ISColoring *);
1268 
1269 EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1270 
1271 /*S
1272      MatNullSpace - Object that removes a null space from a vector, i.e.
1273          orthogonalizes the vector to a subsapce
1274 
1275    Level: advanced
1276 
1277   Concepts: matrix; linear operator, null space
1278 
1279   Users manual sections:
1280 .   sec_singular
1281 
1282 .seealso:  MatNullSpaceCreate()
1283 S*/
1284 typedef struct _p_MatNullSpace* MatNullSpace;
1285 
1286 EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscTruth,PetscInt,const Vec[],MatNullSpace*);
1287 EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace);
1288 EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1289 EXTERN PetscErrorCode MatNullSpaceAttach(Mat,MatNullSpace);
1290 EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat);
1291 
1292 EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1293 EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1294 EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1295 
1296 
1297 EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1298 EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1299 EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1300 
1301 EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1302 
1303 EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1304 
1305 EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1306 EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1307 
1308 PETSC_EXTERN_CXX_END
1309 #endif
1310