xref: /petsc/include/petscmat.h (revision 63879571fdc812aab9a52703ff2eccb2f9c1b75e)
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} 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,0) || \
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,0) || \
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,0) || \
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 EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscTruth*);
381 EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscTruth*);
382 EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscTruth*);
383 EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscTruth*);
384 
385 EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
386 EXTERN PetscErrorCode MatZeroEntries(Mat);
387 EXTERN PetscErrorCode MatZeroRows(Mat,IS,const PetscScalar*);
388 EXTERN PetscErrorCode MatZeroColumns(Mat,IS,const PetscScalar*);
389 
390 EXTERN PetscErrorCode MatUseScaledForm(Mat,PetscTruth);
391 EXTERN PetscErrorCode MatScaleSystem(Mat,Vec,Vec);
392 EXTERN PetscErrorCode MatUnScaleSystem(Mat,Vec,Vec);
393 
394 EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
395 EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
396 EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
397 
398 /*E
399     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
400      or MatGetSubMatrix() are to be reused to store the new matrix values.
401 
402     Level: beginner
403 
404    Any additions/changes here MUST also be made in include/finclude/petscmat.h
405 
406 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices()
407 E*/
408 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse;
409 EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
410 EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
411 EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,PetscInt,MatReuse,Mat *);
412 EXTERN PetscErrorCode MatMerge(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
413 EXTERN PetscErrorCode MatMerge_SeqsToMPI(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
414 EXTERN PetscErrorCode MatMerge_SeqsToMPISymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
415 EXTERN PetscErrorCode MatMerge_SeqsToMPINumeric(Mat,Mat);
416 EXTERN PetscErrorCode MatDestroy_MPIAIJ_SeqsToMPI(Mat);
417 EXTERN PetscErrorCode MatGetLocalMat(Mat,MatReuse,Mat*);
418 EXTERN PetscErrorCode MatGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
419 EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,PetscInt*,Mat*);
420 EXTERN PetscErrorCode MatGetBrowsOfAoCols(Mat,Mat,MatReuse,PetscInt**,PetscScalar**,Mat*);
421 
422 EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
423 
424 EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
425 EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
426 EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
427 
428 EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
429 EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
430 EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
431 
432 EXTERN PetscErrorCode MatMatMultTranspose(Mat,Mat,MatReuse,PetscReal,Mat*);
433 EXTERN PetscErrorCode MatMatMultTransposeSymbolic(Mat,Mat,PetscReal,Mat*);
434 EXTERN PetscErrorCode MatMatMultTransposeNumeric(Mat,Mat,Mat);
435 
436 EXTERN PetscErrorCode MatAXPY(const PetscScalar *,Mat,Mat,MatStructure);
437 EXTERN PetscErrorCode MatAYPX(const PetscScalar *,Mat,Mat);
438 EXTERN PetscErrorCode MatCompress(Mat);
439 
440 EXTERN PetscErrorCode MatScale(const PetscScalar *,Mat);
441 EXTERN PetscErrorCode MatShift(const PetscScalar *,Mat);
442 
443 EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
444 EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
445 EXTERN PetscErrorCode MatZeroRowsLocal(Mat,IS,const PetscScalar*);
446 EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
447 EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
448 
449 EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
450 EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
451 
452 EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
453 EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
454 EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
455 EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
456 
457 /*MC
458    MatPreallocInitialize - Begins the block of code that will count the number of nonzeros per
459        row in a matrix providing the data that one can use to correctly preallocate the matrix.
460 
461    Synopsis:
462    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
463 
464    Collective on MPI_Comm
465 
466    Input Parameters:
467 +  comm - the communicator that will share the eventually allocated matrix
468 .  nrows - the number of LOCAL rows in the matrix
469 -  ncols - the number of LOCAL columns in the matrix
470 
471    Output Parameters:
472 +  dnz - the array that will be passed to the matrix preallocation routines
473 -  ozn - the other array passed to the matrix preallocation routines
474 
475 
476    Level: intermediate
477 
478    Notes:
479    See the chapter in the users manual on performance for more details
480 
481    Do not malloc or free dnz and onz, that is handled internally by these routines
482 
483    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
484 
485   Concepts: preallocation^Matrix
486 
487 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
488           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
489 M*/
490 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
491 { \
492   PetscErrorCode _4_ierr; PetscInt __tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
493   _4_ierr = PetscMalloc(2*__tmp*sizeof(PetscInt),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
494   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(PetscInt));CHKERRQ(_4_ierr);\
495   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
496   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
497 
498 /*MC
499    MatPreallocSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
500        row in a matrix providing the data that one can use to correctly preallocate the matrix.
501 
502    Synopsis:
503    PetscErrorCode MatPreallocateSymmetricInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
504 
505    Collective on MPI_Comm
506 
507    Input Parameters:
508 +  comm - the communicator that will share the eventually allocated matrix
509 .  nrows - the number of LOCAL rows in the matrix
510 -  ncols - the number of LOCAL columns in the matrix
511 
512    Output Parameters:
513 +  dnz - the array that will be passed to the matrix preallocation routines
514 -  ozn - the other array passed to the matrix preallocation routines
515 
516 
517    Level: intermediate
518 
519    Notes:
520    See the chapter in the users manual on performance for more details
521 
522    Do not malloc or free dnz and onz, that is handled internally by these routines
523 
524   Concepts: preallocation^Matrix
525 
526 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
527           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
528 M*/
529 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
530 { \
531   PetscErrorCode _4_ierr; PetscInt __tmp = (nrows),__ctmp = (ncols),__rstart,__end; \
532   _4_ierr = PetscMalloc(2*__tmp*sizeof(PetscInt),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
533   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(PetscInt));CHKERRQ(_4_ierr);\
534   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
535   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
536 
537 /*MC
538    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
539        inserted using a local number of the rows and columns
540 
541    Synopsis:
542    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
543 
544    Not Collective
545 
546    Input Parameters:
547 +  map - the mapping between local numbering and global numbering
548 .  nrows - the number of rows indicated
549 .  rows - the indices of the rows
550 .  ncols - the number of columns in the matrix
551 .  cols - the columns indicated
552 .  dnz - the array that will be passed to the matrix preallocation routines
553 -  ozn - the other array passed to the matrix preallocation routines
554 
555 
556    Level: intermediate
557 
558    Notes:
559    See the chapter in the users manual on performance for more details
560 
561    Do not malloc or free dnz and onz, that is handled internally by these routines
562 
563   Concepts: preallocation^Matrix
564 
565 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
566           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
567 M*/
568 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
569 {\
570   PetscInt __l;\
571   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
572   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
573   for (__l=0;__l<nrows;__l++) {\
574     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
575   }\
576 }
577 
578 /*MC
579    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
580        inserted using a local number of the rows and columns
581 
582    Synopsis:
583    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
584 
585    Not Collective
586 
587    Input Parameters:
588 +  map - the mapping between local numbering and global numbering
589 .  nrows - the number of rows indicated
590 .  rows - the indices of the rows
591 .  ncols - the number of columns in the matrix
592 .  cols - the columns indicated
593 .  dnz - the array that will be passed to the matrix preallocation routines
594 -  ozn - the other array passed to the matrix preallocation routines
595 
596 
597    Level: intermediate
598 
599    Notes:
600    See the chapter in the users manual on performance for more details
601 
602    Do not malloc or free dnz and onz that is handled internally by these routines
603 
604   Concepts: preallocation^Matrix
605 
606 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
607           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
608 M*/
609 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
610 {\
611   PetscInt __l;\
612   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
613   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
614   for (__l=0;__l<nrows;__l++) {\
615     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
616   }\
617 }
618 
619 /*MC
620    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
621        inserted using a local number of the rows and columns
622 
623    Synopsis:
624    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
625 
626    Not Collective
627 
628    Input Parameters:
629 +  nrows - the number of rows indicated
630 .  rows - the indices of the rows
631 .  ncols - the number of columns in the matrix
632 -  cols - the columns indicated
633 
634    Output Parameters:
635 +  dnz - the array that will be passed to the matrix preallocation routines
636 -  ozn - the other array passed to the matrix preallocation routines
637 
638 
639    Level: intermediate
640 
641    Notes:
642    See the chapter in the users manual on performance for more details
643 
644    Do not malloc or free dnz and onz that is handled internally by these routines
645 
646   Concepts: preallocation^Matrix
647 
648 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
649           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
650 M*/
651 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
652 { PetscInt __i; \
653   for (__i=0; __i<nc; __i++) {\
654     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
655   }\
656   dnz[row - __rstart] = nc - onz[row - __rstart];\
657 }
658 
659 /*MC
660    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
661        inserted using a local number of the rows and columns
662 
663    Synopsis:
664    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
665 
666    Not Collective
667 
668    Input Parameters:
669 +  nrows - the number of rows indicated
670 .  rows - the indices of the rows
671 .  ncols - the number of columns in the matrix
672 .  cols - the columns indicated
673 .  dnz - the array that will be passed to the matrix preallocation routines
674 -  ozn - the other array passed to the matrix preallocation routines
675 
676 
677    Level: intermediate
678 
679    Notes:
680    See the chapter in the users manual on performance for more details
681 
682    Do not malloc or free dnz and onz that is handled internally by these routines
683 
684   Concepts: preallocation^Matrix
685 
686 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
687           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
688 M*/
689 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
690 { PetscInt __i; \
691   for (__i=0; __i<nc; __i++) {\
692     if (cols[__i] >= __end) onz[row - __rstart]++; \
693     else if (cols[__i] >= row) dnz[row - __rstart]++;\
694   }\
695 }
696 
697 /*MC
698    MatPreallocFinalize - Ends the block of code that will count the number of nonzeros per
699        row in a matrix providing the data that one can use to correctly preallocate the matrix.
700 
701    Synopsis:
702    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
703 
704    Collective on MPI_Comm
705 
706    Input Parameters:
707 +  dnz - the array that will be passed to the matrix preallocation routines
708 -  ozn - the other array passed to the matrix preallocation routines
709 
710 
711    Level: intermediate
712 
713    Notes:
714    See the chapter in the users manual on performance for more details
715 
716    Do not malloc or free dnz and onz that is handled internally by these routines
717 
718   Concepts: preallocation^Matrix
719 
720 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
721           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
722 M*/
723 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);}
724 
725 
726 
727 /* Routines unique to particular data structures */
728 EXTERN PetscErrorCode MatShellGetContext(Mat,void **);
729 
730 EXTERN PetscErrorCode MatBDiagGetData(Mat,PetscInt*,PetscInt*,PetscInt*[],PetscInt*[],PetscScalar***);
731 EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
732 EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
733 EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
734 
735 EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
736 EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
737 EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
738 EXTERN PetscErrorCode MatSeqDensePreallocation(Mat,PetscScalar[]);
739 EXTERN PetscErrorCode MatSeqBDiagSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscScalar*[]);
740 EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
741 
742 EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
743 EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
744 EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
745 EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
746 EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
747 EXTERN PetscErrorCode MatMPIDensePreallocation(Mat,PetscScalar[]);
748 EXTERN PetscErrorCode MatMPIBDiagSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscScalar*[]);
749 EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
750 EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
751 EXTERN PetscErrorCode MatMPIRowbsSetPreallocation(Mat,PetscInt,const PetscInt[]);
752 EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
753 EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
754 EXTERN PetscErrorCode MatAdicSetLocalFunction(Mat,void (*)(void));
755 
756 EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
757 
758 EXTERN PetscErrorCode MatStoreValues(Mat);
759 EXTERN PetscErrorCode MatRetrieveValues(Mat);
760 
761 EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
762 
763 /*
764   These routines are not usually accessed directly, rather solving is
765   done through the KSP and PC interfaces.
766 */
767 
768 /*E
769     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
770        with an optional dynamic library name, for example
771        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
772 
773    Level: beginner
774 
775 .seealso: MatGetOrdering()
776 E*/
777 #define MatOrderingType char*
778 #define MATORDERING_NATURAL   "natural"
779 #define MATORDERING_ND        "nd"
780 #define MATORDERING_1WD       "1wd"
781 #define MATORDERING_RCM       "rcm"
782 #define MATORDERING_QMD       "qmd"
783 #define MATORDERING_ROWLENGTH "rowlength"
784 #define MATORDERING_DSC_ND    "dsc_nd"
785 #define MATORDERING_DSC_MMD   "dsc_mmd"
786 #define MATORDERING_DSC_MDF   "dsc_mdf"
787 #define MATORDERING_CONSTRAINED "constrained"
788 #define MATORDERING_IDENTITY  "identity"
789 #define MATORDERING_REVERSE   "reverse"
790 
791 EXTERN PetscErrorCode MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
792 EXTERN PetscErrorCode MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
793 
794 /*MC
795    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the
796                                matrix package.
797 
798    Synopsis:
799    PetscErrorCode MatOrderingRegisterDynamic(char *name_ordering,char *path,char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
800 
801    Not Collective
802 
803    Input Parameters:
804 +  sname - name of ordering (for example MATORDERING_ND)
805 .  path - location of library where creation routine is
806 .  name - name of function that creates the ordering type,a string
807 -  function - function pointer that creates the ordering
808 
809    Level: developer
810 
811    If dynamic libraries are used, then the fourth input argument (function)
812    is ignored.
813 
814    Sample usage:
815 .vb
816    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
817                "MyOrder",MyOrder);
818 .ve
819 
820    Then, your partitioner can be chosen with the procedural interface via
821 $     MatOrderingSetType(part,"my_order)
822    or at runtime via the option
823 $     -pc_ilu_mat_ordering_type my_order
824 $     -pc_lu_mat_ordering_type my_order
825 
826    ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
827 
828 .keywords: matrix, ordering, register
829 
830 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
831 M*/
832 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
833 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
834 #else
835 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
836 #endif
837 
838 EXTERN PetscErrorCode        MatOrderingRegisterDestroy(void);
839 EXTERN PetscErrorCode        MatOrderingRegisterAll(const char[]);
840 extern PetscTruth MatOrderingRegisterAllCalled;
841 extern PetscFList MatOrderingList;
842 
843 EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
844 
845 /*S
846    MatFactorInfo - Data based into the matrix factorization routines
847 
848    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE
849 
850    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
851 
852    Level: developer
853 
854 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
855           MatFactorInfoInitialize()
856 
857 S*/
858 typedef struct {
859   PetscReal     damping;        /* scaling of identity added to matrix to prevent zero pivots */
860   PetscReal     shift;          /* if true, shift until positive pivots */
861   PetscReal     shift_fraction; /* record shift fraction taken */
862   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
863   PetscReal     dt;             /* drop tolerance */
864   PetscReal     dtcol;          /* tolerance for pivoting */
865   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
866   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
867   PetscReal     levels;         /* ICC/ILU(levels) */
868   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
869                                    factorization may be faster if do not pivot */
870   PetscReal     zeropivot;      /* pivot is called zero if less than this */
871 } MatFactorInfo;
872 
873 EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
874 EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,MatFactorInfo*);
875 EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
876 EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat*);
877 EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,MatFactorInfo*);
878 EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,MatFactorInfo*);
879 EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
880 EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
881 EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
882 EXTERN PetscErrorCode MatICCFactor(Mat,IS,MatFactorInfo*);
883 EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat*);
884 EXTERN PetscErrorCode MatILUDTFactor(Mat,MatFactorInfo*,IS,IS,Mat *);
885 EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
886 EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
887 EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
888 EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
889 EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
890 EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
891 EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
892 EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
893 
894 EXTERN PetscErrorCode MatSetUnfactored(Mat);
895 
896 /*E
897     MatSORType - What type of (S)SOR to perform
898 
899     Level: beginner
900 
901    May be bitwise ORd together
902 
903    Any additions/changes here MUST also be made in include/finclude/petscmat.h
904 
905    MatSORType may be bitwise ORd together, so do not change the numbers
906 
907 .seealso: MatRelax(), MatPBRelax()
908 E*/
909 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
910               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
911               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
912               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
913 EXTERN PetscErrorCode MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
914 EXTERN PetscErrorCode MatPBRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
915 
916 /*
917     These routines are for efficiently computing Jacobians via finite differences.
918 */
919 
920 /*E
921     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
922        with an optional dynamic library name, for example
923        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
924 
925    Level: beginner
926 
927 .seealso: MatGetColoring()
928 E*/
929 #define MatColoringType char*
930 #define MATCOLORING_NATURAL "natural"
931 #define MATCOLORING_SL      "sl"
932 #define MATCOLORING_LF      "lf"
933 #define MATCOLORING_ID      "id"
934 
935 EXTERN PetscErrorCode MatGetColoring(Mat,const MatColoringType,ISColoring*);
936 EXTERN PetscErrorCode MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatColoringType,ISColoring *));
937 
938 /*MC
939    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
940                                matrix package.
941 
942    Synopsis:
943    PetscErrorCode MatColoringRegisterDynamic(char *name_coloring,char *path,char *name_create,PetscErrorCode (*routine_create)(MatColoring))
944 
945    Not Collective
946 
947    Input Parameters:
948 +  sname - name of Coloring (for example MATCOLORING_SL)
949 .  path - location of library where creation routine is
950 .  name - name of function that creates the Coloring type, a string
951 -  function - function pointer that creates the coloring
952 
953    Level: developer
954 
955    If dynamic libraries are used, then the fourth input argument (function)
956    is ignored.
957 
958    Sample usage:
959 .vb
960    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
961                "MyColor",MyColor);
962 .ve
963 
964    Then, your partitioner can be chosen with the procedural interface via
965 $     MatColoringSetType(part,"my_color")
966    or at runtime via the option
967 $     -mat_coloring_type my_color
968 
969    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
970 
971 .keywords: matrix, Coloring, register
972 
973 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
974 M*/
975 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
976 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
977 #else
978 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
979 #endif
980 
981 extern PetscTruth MatColoringRegisterAllCalled;
982 
983 EXTERN PetscErrorCode        MatColoringRegisterAll(const char[]);
984 EXTERN PetscErrorCode        MatColoringRegisterDestroy(void);
985 EXTERN PetscErrorCode        MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
986 
987 /*S
988      MatFDColoring - Object for computing a sparse Jacobian via finite differences
989         and coloring
990 
991    Level: beginner
992 
993   Concepts: coloring, sparse Jacobian, finite differences
994 
995 .seealso:  MatFDColoringCreate()
996 S*/
997 typedef struct _p_MatFDColoring *MatFDColoring;
998 
999 EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1000 EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring);
1001 EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1002 EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1003 EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1004 EXTERN PetscErrorCode MatFDColoringSetFrequency(MatFDColoring,PetscInt);
1005 EXTERN PetscErrorCode MatFDColoringGetFrequency(MatFDColoring,PetscInt*);
1006 EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1007 EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1008 EXTERN PetscErrorCode MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
1009 EXTERN PetscErrorCode MatFDColoringSetRecompute(MatFDColoring);
1010 EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1011 EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1012 /*
1013     These routines are for partitioning matrices: currently used only
1014   for adjacency matrix, MatCreateMPIAdj().
1015 */
1016 
1017 /*S
1018      MatPartitioning - Object for managing the partitioning of a matrix or graph
1019 
1020    Level: beginner
1021 
1022   Concepts: partitioning
1023 
1024 .seealso:  MatPartitioningCreate(), MatPartitioningType
1025 S*/
1026 typedef struct _p_MatPartitioning *MatPartitioning;
1027 
1028 /*E
1029     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1030        with an optional dynamic library name, for example
1031        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1032 
1033    Level: beginner
1034 
1035 .seealso: MatPartitioningCreate(), MatPartitioning
1036 E*/
1037 #define MatPartitioningType char*
1038 #define MAT_PARTITIONING_CURRENT  "current"
1039 #define MAT_PARTITIONING_SQUARE   "square"
1040 #define MAT_PARTITIONING_PARMETIS "parmetis"
1041 #define MAT_PARTITIONING_CHACO    "chaco"
1042 #define MAT_PARTITIONING_JOSTLE   "jostle"
1043 #define MAT_PARTITIONING_PARTY    "party"
1044 #define MAT_PARTITIONING_SCOTCH   "scotch"
1045 
1046 
1047 EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1048 EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1049 EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1050 EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1051 EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1052 EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1053 EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1054 EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning);
1055 
1056 EXTERN PetscErrorCode MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1057 
1058 /*MC
1059    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1060    matrix package.
1061 
1062    Synopsis:
1063    PetscErrorCode MatPartitioningRegisterDynamic(char *name_partitioning,char *path,char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1064 
1065    Not Collective
1066 
1067    Input Parameters:
1068 +  sname - name of partitioning (for example MAT_PARTITIONING_CURRENT) or parmetis
1069 .  path - location of library where creation routine is
1070 .  name - name of function that creates the partitioning type, a string
1071 -  function - function pointer that creates the partitioning type
1072 
1073    Level: developer
1074 
1075    If dynamic libraries are used, then the fourth input argument (function)
1076    is ignored.
1077 
1078    Sample usage:
1079 .vb
1080    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1081                "MyPartCreate",MyPartCreate);
1082 .ve
1083 
1084    Then, your partitioner can be chosen with the procedural interface via
1085 $     MatPartitioningSetType(part,"my_part")
1086    or at runtime via the option
1087 $     -mat_partitioning_type my_part
1088 
1089    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1090 
1091 .keywords: matrix, partitioning, register
1092 
1093 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1094 M*/
1095 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1096 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1097 #else
1098 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1099 #endif
1100 
1101 extern PetscTruth MatPartitioningRegisterAllCalled;
1102 
1103 EXTERN PetscErrorCode MatPartitioningRegisterAll(const char[]);
1104 EXTERN PetscErrorCode MatPartitioningRegisterDestroy(void);
1105 
1106 EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1107 EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1108 EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1109 
1110 EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1111 
1112 EXTERN PetscErrorCode MatPartitioningJostleSetCoarseLevel(MatPartitioning,PetscReal);
1113 EXTERN PetscErrorCode MatPartitioningJostleSetCoarseSequential(MatPartitioning);
1114 
1115 typedef enum { MP_CHACO_MULTILEVEL_KL, MP_CHACO_SPECTRAL, MP_CHACO_LINEAR,
1116     MP_CHACO_RANDOM, MP_CHACO_SCATTERED } MPChacoGlobalType;
1117 EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1118 typedef enum { MP_CHACO_KERNIGHAN_LIN, MP_CHACO_NONE } MPChacoLocalType;
1119 EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1120 EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1121 typedef enum { MP_CHACO_LANCZOS, MP_CHACO_RQI_SYMMLQ } MPChacoEigenType;
1122 EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1123 EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1124 EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1125 
1126 #define MP_PARTY_OPT "opt"
1127 #define MP_PARTY_LIN "lin"
1128 #define MP_PARTY_SCA "sca"
1129 #define MP_PARTY_RAN "ran"
1130 #define MP_PARTY_GBF "gbf"
1131 #define MP_PARTY_GCF "gcf"
1132 #define MP_PARTY_BUB "bub"
1133 #define MP_PARTY_DEF "def"
1134 EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char*);
1135 #define MP_PARTY_HELPFUL_SETS "hs"
1136 #define MP_PARTY_KERNIGHAN_LIN "kl"
1137 #define MP_PARTY_NONE "no"
1138 EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char*);
1139 EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1140 EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscTruth);
1141 EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscTruth);
1142 
1143 typedef enum { MP_SCOTCH_GREEDY, MP_SCOTCH_GPS, MP_SCOTCH_GR_GPS } MPScotchGlobalType;
1144 EXTERN PetscErrorCode MatPartitioningScotchSetArch(MatPartitioning,const char*);
1145 EXTERN PetscErrorCode MatPartitioningScotchSetMultilevel(MatPartitioning);
1146 EXTERN PetscErrorCode MatPartitioningScotchSetGlobal(MatPartitioning,MPScotchGlobalType);
1147 EXTERN PetscErrorCode MatPartitioningScotchSetCoarseLevel(MatPartitioning,PetscReal);
1148 EXTERN PetscErrorCode MatPartitioningScotchSetHostList(MatPartitioning,const char*);
1149 typedef enum { MP_SCOTCH_KERNIGHAN_LIN, MP_SCOTCH_NONE } MPScotchLocalType;
1150 EXTERN PetscErrorCode MatPartitioningScotchSetLocal(MatPartitioning,MPScotchLocalType);
1151 EXTERN PetscErrorCode MatPartitioningScotchSetMapping(MatPartitioning);
1152 EXTERN PetscErrorCode MatPartitioningScotchSetStrategy(MatPartitioning,char*);
1153 
1154 /*
1155     If you add entries here you must also add them to finclude/petscmat.h
1156 */
1157 typedef enum { MATOP_SET_VALUES=0,
1158                MATOP_GET_ROW=1,
1159                MATOP_RESTORE_ROW=2,
1160                MATOP_MULT=3,
1161                MATOP_MULT_ADD=4,
1162                MATOP_MULT_TRANSPOSE=5,
1163                MATOP_MULT_TRANSPOSE_ADD=6,
1164                MATOP_SOLVE=7,
1165                MATOP_SOLVE_ADD=8,
1166                MATOP_SOLVE_TRANSPOSE=9,
1167                MATOP_SOLVE_TRANSPOSE_ADD=10,
1168                MATOP_LUFACTOR=11,
1169                MATOP_CHOLESKYFACTOR=12,
1170                MATOP_RELAX=13,
1171                MATOP_TRANSPOSE=14,
1172                MATOP_GETINFO=15,
1173                MATOP_EQUAL=16,
1174                MATOP_GET_DIAGONAL=17,
1175                MATOP_DIAGONAL_SCALE=18,
1176                MATOP_NORM=19,
1177                MATOP_ASSEMBLY_BEGIN=20,
1178                MATOP_ASSEMBLY_END=21,
1179                MATOP_COMPRESS=22,
1180                MATOP_SET_OPTION=23,
1181                MATOP_ZERO_ENTRIES=24,
1182                MATOP_ZERO_ROWS=25,
1183                MATOP_LUFACTOR_SYMBOLIC=26,
1184                MATOP_LUFACTOR_NUMERIC=27,
1185                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
1186                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
1187                MATOP_SETUP_PREALLOCATION=30,
1188                MATOP_ILUFACTOR_SYMBOLIC=31,
1189                MATOP_ICCFACTOR_SYMBOLIC=32,
1190                MATOP_GET_ARRAY=33,
1191                MATOP_RESTORE_ARRAY=34,
1192                MATOP_DUPLCIATE=35,
1193                MATOP_FORWARD_SOLVE=36,
1194                MATOP_BACKWARD_SOLVE=37,
1195                MATOP_ILUFACTOR=38,
1196                MATOP_ICCFACTOR=39,
1197                MATOP_AXPY=40,
1198                MATOP_GET_SUBMATRICES=41,
1199                MATOP_INCREASE_OVERLAP=42,
1200                MATOP_GET_VALUES=43,
1201                MATOP_COPY=44,
1202                MATOP_PRINT_HELP=45,
1203                MATOP_SCALE=46,
1204                MATOP_SHIFT=47,
1205                MATOP_DIAGONAL_SHIFT=48,
1206                MATOP_ILUDT_FACTOR=49,
1207                MATOP_GET_BLOCK_SIZE=50,
1208                MATOP_GET_ROW_IJ=51,
1209                MATOP_RESTORE_ROW_IJ=52,
1210                MATOP_GET_COLUMN_IJ=53,
1211                MATOP_RESTORE_COLUMN_IJ=54,
1212                MATOP_FDCOLORING_CREATE=55,
1213                MATOP_COLORING_PATCH=56,
1214                MATOP_SET_UNFACTORED=57,
1215                MATOP_PERMUTE=58,
1216                MATOP_SET_VALUES_BLOCKED=59,
1217                MATOP_GET_SUBMATRIX=60,
1218                MATOP_DESTROY=61,
1219                MATOP_VIEW=62,
1220                MATOP_GET_MAPS=63,
1221                MATOP_USE_SCALED_FORM=64,
1222                MATOP_SCALE_SYSTEM=65,
1223                MATOP_UNSCALE_SYSTEM=66,
1224                MATOP_SET_LOCAL_TO_GLOBAL_MAP=67,
1225                MATOP_SET_VALUES_LOCAL=68,
1226                MATOP_ZERO_ROWS_LOCAL=69,
1227                MATOP_GET_ROW_MAX=70,
1228                MATOP_CONVERT=71,
1229                MATOP_SET_COLORING=72,
1230                MATOP_SET_VALUES_ADIC=73,
1231                MATOP_SET_VALUES_ADIFOR=74,
1232                MATOP_FD_COLORING_APPLY=75,
1233                MATOP_SET_FROM_OPTIONS=76,
1234                MATOP_MULT_CON=77,
1235                MATOP_MULT_TRANSPOSE_CON=78,
1236                MATOP_ILU_FACTOR_SYMBOLIC_CON=79,
1237                MATOP_PERMUTE_SPARSIFY=80,
1238                MATOP_MULT_MULTIPLE=81,
1239                MATOP_SOLVE_MULTIPLE=82,
1240                MATOP_GET_INERTIA=83,
1241                MATOP_LOAD=84,
1242                MATOP_IS_SYMMETRIC=85,
1243                MATOP_IS_HERMITIAN=86,
1244                MATOP_IS_STRUCTURALLY_SYMMETRIC=87,
1245                MATOP_PB_RELAX=88,
1246                MATOP_GET_VECS=89,
1247                MATOP_MAT_MULT=90,
1248                MATOP_MAT_MULT_SYMBOLIC=91,
1249                MATOP_MAT_MULT_NUMERIC=92,
1250                MATOP_PTAP=93,
1251                MATOP_PTAP_SYMBOLIC=94,
1252                MATOP_PTAP_NUMERIC=95,
1253                MATOP_MAT_MULTTRANSPOSE=96,
1254                MATOP_MAT_MULTTRANSPOSE_SYMBOLIC=97,
1255                MATOP_MAT_MULTTRANSPOSE_NUMERIC=98
1256              } MatOperation;
1257 EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscTruth*);
1258 EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1259 EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1260 EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1261 
1262 /*
1263    Codes for matrices stored on disk. By default they are
1264  stored in a universal format. By changing the format with
1265  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
1266  be stored in a way natural for the matrix, for example dense matrices
1267  would be stored as dense. Matrices stored this way may only be
1268  read into matrices of the same time.
1269 */
1270 #define MATRIX_BINARY_FORMAT_DENSE -1
1271 
1272 EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1273 EXTERN PetscErrorCode MatSeqAIJGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1274 EXTERN PetscErrorCode MatMPIRowbsGetColor(Mat,ISColoring *);
1275 
1276 EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1277 
1278 /*S
1279      MatNullSpace - Object that removes a null space from a vector, i.e.
1280          orthogonalizes the vector to a subsapce
1281 
1282    Level: advanced
1283 
1284   Concepts: matrix; linear operator, null space
1285 
1286   Users manual sections:
1287 .   sec_singular
1288 
1289 .seealso:  MatNullSpaceCreate()
1290 S*/
1291 typedef struct _p_MatNullSpace* MatNullSpace;
1292 
1293 EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscTruth,PetscInt,const Vec[],MatNullSpace*);
1294 EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace);
1295 EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1296 EXTERN PetscErrorCode MatNullSpaceAttach(Mat,MatNullSpace);
1297 EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat);
1298 
1299 EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1300 EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1301 EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1302 
1303 
1304 EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1305 EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1306 EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1307 
1308 EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1309 
1310 EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1311 
1312 EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1313 EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1314 
1315 PETSC_EXTERN_CXX_END
1316 #endif
1317