xref: /petsc/include/petscmat.h (revision a79aaaed103246988dafa581a233ebf306fec680)
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 /*E
88     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
89      or MatGetSubMatrix() are to be reused to store the new matrix values.
90 
91     Level: beginner
92 
93    Any additions/changes here MUST also be made in include/finclude/petscmat.h
94 
95 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices()
96 E*/
97 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse;
98 
99 EXTERN PetscErrorCode MatInitializePackage(char *);
100 
101 EXTERN PetscErrorCode MatCreate(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
102 EXTERN PetscErrorCode MatSetType(Mat,const MatType);
103 EXTERN PetscErrorCode MatSetFromOptions(Mat);
104 EXTERN PetscErrorCode MatSetUpPreallocation(Mat);
105 EXTERN PetscErrorCode MatRegisterAll(const char[]);
106 EXTERN PetscErrorCode MatRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat));
107 
108 /*MC
109    MatRegisterDynamic - Adds a new matrix type
110 
111    Synopsis:
112    PetscErrorCode MatRegisterDynamic(char *name,char *path,char *name_create,PetscErrorCode (*routine_create)(Mat))
113 
114    Not Collective
115 
116    Input Parameters:
117 +  name - name of a new user-defined matrix type
118 .  path - path (either absolute or relative) the library containing this solver
119 .  name_create - name of routine to create method context
120 -  routine_create - routine to create method context
121 
122    Notes:
123    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
124 
125    If dynamic libraries are used, then the fourth input argument (routine_create)
126    is ignored.
127 
128    Sample usage:
129 .vb
130    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
131                "MyMatCreate",MyMatCreate);
132 .ve
133 
134    Then, your solver can be chosen with the procedural interface via
135 $     MatSetType(Mat,"my_mat")
136    or at runtime via the option
137 $     -mat_type my_mat
138 
139    Level: advanced
140 
141    Notes: ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
142          If your function is not being put into a shared library then use VecRegister() instead
143 
144 .keywords: Mat, register
145 
146 .seealso: MatRegisterAll(), MatRegisterDestroy()
147 
148 M*/
149 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
150 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
151 #else
152 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
153 #endif
154 
155 extern PetscTruth MatRegisterAllCalled;
156 extern PetscFList MatList;
157 
158 EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
159 EXTERN PetscErrorCode MatCreateMPIDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
160 EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
161 EXTERN PetscErrorCode MatCreateMPIAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
162 EXTERN PetscErrorCode MatCreateMPIRowbs(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
163 EXTERN PetscErrorCode MatCreateSeqBDiag(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscScalar*[],Mat*);
164 EXTERN PetscErrorCode MatCreateMPIBDiag(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscScalar*[],Mat*);
165 EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
166 EXTERN PetscErrorCode MatCreateMPIBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
167 EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
168 EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
169 EXTERN PetscErrorCode MatCreateMPISBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
170 EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
171 EXTERN PetscErrorCode MatCreateAdic(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,void (*)(void),Mat*);
172 EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
173 EXTERN PetscErrorCode MatDestroy(Mat);
174 
175 EXTERN PetscErrorCode MatPrintHelp(Mat);
176 EXTERN PetscErrorCode MatGetPetscMaps(Mat,PetscMap*,PetscMap*);
177 
178 /* ------------------------------------------------------------*/
179 EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
180 EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
181 
182 /*S
183      MatStencil - Data structure (C struct) for storing information about a single row or
184         column of a matrix as index on an associated grid.
185 
186    Level: beginner
187 
188   Concepts: matrix; linear operator
189 
190 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockStencil()
191 S*/
192 typedef struct {
193   PetscInt k,j,i,c;
194 } MatStencil;
195 
196 EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
197 EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
198 EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
199 
200 EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
201 EXTERN PetscErrorCode MatSetValuesAdic(Mat,void*);
202 EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
203 
204 /*E
205     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
206      to continue to add values to it
207 
208     Level: beginner
209 
210 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
211 E*/
212 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
213 EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
214 EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
215 EXTERN PetscErrorCode MatAssembled(Mat,PetscTruth*);
216 
217 extern PetscInt    MatSetValue_Row, MatSetValue_Column;
218 extern PetscScalar MatSetValue_Value;
219 
220 /*MC
221    MatSetValue - Set a single entry into a matrix.
222 
223    Synopsis:
224    PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode);
225 
226    Not collective
227 
228    Input Parameters:
229 +  m - the matrix
230 .  row - the row location of the entry
231 .  col - the column location of the entry
232 .  value - the value to insert
233 -  mode - either INSERT_VALUES or ADD_VALUES
234 
235    Notes:
236    For efficiency one should use MatSetValues() and set several or many
237    values simultaneously if possible.
238 
239    Level: beginner
240 
241 .seealso: MatSetValues(), MatSetValueLocal()
242 M*/
243 #define MatSetValue(v,i,j,va,mode) \
244   ((MatSetValue_Row = i,MatSetValue_Column = j,MatSetValue_Value = va,0) || \
245    MatSetValues(v,1,&MatSetValue_Row,1,&MatSetValue_Column,&MatSetValue_Value,mode))
246 
247 #define MatGetValue(v,i,j,va) \
248   ((MatSetValue_Row = i,MatSetValue_Column = j,0) || \
249    MatGetValues(v,1,&MatSetValue_Row,1,&MatSetValue_Column,&va))
250 
251 #define MatSetValueLocal(v,i,j,va,mode) \
252   ((MatSetValue_Row = i,MatSetValue_Column = j,MatSetValue_Value = va,0) || \
253    MatSetValuesLocal(v,1,&MatSetValue_Row,1,&MatSetValue_Column,&MatSetValue_Value,mode))
254 
255 /*E
256     MatOption - Options that may be set for a matrix and its behavior or storage
257 
258     Level: beginner
259 
260    Any additions/changes here MUST also be made in include/finclude/petscmat.h
261 
262 .seealso: MatSetOption()
263 E*/
264 typedef enum {MAT_ROW_ORIENTED=1,MAT_COLUMN_ORIENTED=2,MAT_ROWS_SORTED=4,
265               MAT_COLUMNS_SORTED=8,MAT_NO_NEW_NONZERO_LOCATIONS=16,
266               MAT_YES_NEW_NONZERO_LOCATIONS=32,MAT_SYMMETRIC=64,
267               MAT_STRUCTURALLY_SYMMETRIC=65,MAT_NO_NEW_DIAGONALS=66,
268               MAT_YES_NEW_DIAGONALS=67,MAT_INODE_LIMIT_1=68,MAT_INODE_LIMIT_2=69,
269               MAT_INODE_LIMIT_3=70,MAT_INODE_LIMIT_4=71,MAT_INODE_LIMIT_5=72,
270               MAT_IGNORE_OFF_PROC_ENTRIES=73,MAT_ROWS_UNSORTED=74,
271               MAT_COLUMNS_UNSORTED=75,MAT_NEW_NONZERO_LOCATION_ERR=76,
272               MAT_NEW_NONZERO_ALLOCATION_ERR=77,MAT_USE_HASH_TABLE=78,
273               MAT_KEEP_ZEROED_ROWS=79,MAT_IGNORE_ZERO_ENTRIES=80,MAT_USE_INODES=81,
274               MAT_DO_NOT_USE_INODES=82,MAT_NOT_SYMMETRIC=83,MAT_HERMITIAN=84,
275               MAT_NOT_STRUCTURALLY_SYMMETRIC=85,MAT_NOT_HERMITIAN=86,
276               MAT_SYMMETRY_ETERNAL=87,MAT_NOT_SYMMETRY_ETERNAL=88,
277               MAT_USE_COMPRESSEDROW=89,MAT_DO_NOT_USE_COMPRESSEDROW=90,
278               MAT_IGNORE_LOWER_TRIANGULAR=91,MAT_ERROR_LOWER_TRIANGULAR=92} MatOption;
279 EXTERN PetscErrorCode MatSetOption(Mat,MatOption);
280 EXTERN PetscErrorCode MatGetType(Mat,MatType*);
281 
282 EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
283 EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
284 EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
285 EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
286 EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
287 EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
288 EXTERN PetscErrorCode MatGetArray(Mat,PetscScalar *[]);
289 EXTERN PetscErrorCode MatRestoreArray(Mat,PetscScalar *[]);
290 EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
291 EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
292 
293 EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
294 EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
295 EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
296 EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscTruth*);
297 EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
298 EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
299 EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
300 
301 /*E
302     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
303   its numerical values copied over or just its nonzero structure.
304 
305     Level: beginner
306 
307    Any additions/changes here MUST also be made in include/finclude/petscmat.h
308 
309 .seealso: MatDuplicate()
310 E*/
311 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption;
312 
313 EXTERN PetscErrorCode MatConvertRegister(const char[],const char[],const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat*));
314 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
315 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0)
316 #else
317 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d)
318 #endif
319 EXTERN PetscErrorCode        MatConvertRegisterAll(const char[]);
320 EXTERN PetscErrorCode        MatConvertRegisterDestroy(void);
321 extern PetscTruth MatConvertRegisterAllCalled;
322 extern PetscFList MatConvertList;
323 EXTERN PetscErrorCode        MatConvert(Mat,const MatType,MatReuse,Mat*);
324 EXTERN PetscErrorCode        MatDuplicate(Mat,MatDuplicateOption,Mat*);
325 
326 /*E
327     MatStructure - Indicates if the matrix has the same nonzero structure
328 
329     Level: beginner
330 
331    Any additions/changes here MUST also be made in include/finclude/petscmat.h
332 
333 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
334 E*/
335 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
336 
337 EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
338 EXTERN PetscErrorCode MatView(Mat,PetscViewer);
339 EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscTruth*);
340 EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscTruth*);
341 EXTERN PetscErrorCode MatIsHermitian(Mat,PetscTruth*);
342 EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscTruth*,PetscTruth*);
343 EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscTruth*,PetscTruth*);
344 EXTERN PetscErrorCode MatLoad(PetscViewer,const MatType,Mat*);
345 
346 EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscTruth,PetscInt*,PetscInt *[],PetscInt *[],PetscTruth *);
347 EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscTruth,PetscInt *,PetscInt *[],PetscInt *[],PetscTruth *);
348 EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscTruth,PetscInt*,PetscInt *[],PetscInt *[],PetscTruth *);
349 EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscTruth,PetscInt *,PetscInt *[],PetscInt *[],PetscTruth *);
350 
351 /*S
352      MatInfo - Context of matrix information, used with MatGetInfo()
353 
354    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
355 
356    Level: intermediate
357 
358   Concepts: matrix^nonzero information
359 
360 .seealso:  MatGetInfo(), MatInfoType
361 S*/
362 typedef struct {
363   PetscLogDouble rows_global,columns_global;         /* number of global rows and columns */
364   PetscLogDouble rows_local,columns_local;           /* number of local rows and columns */
365   PetscLogDouble block_size;                         /* block size */
366   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
367   PetscLogDouble memory;                             /* memory allocated */
368   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
369   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
370   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
371   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
372 } MatInfo;
373 
374 /*E
375     MatInfoType - Indicates if you want information about the local part of the matrix,
376      the entire parallel matrix or the maximum over all the local parts.
377 
378     Level: beginner
379 
380    Any additions/changes here MUST also be made in include/finclude/petscmat.h
381 
382 .seealso: MatGetInfo(), MatInfo
383 E*/
384 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
385 EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
386 EXTERN PetscErrorCode MatValid(Mat,PetscTruth*);
387 EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
388 EXTERN PetscErrorCode MatGetRowMax(Mat,Vec);
389 EXTERN PetscErrorCode MatTranspose(Mat,Mat*);
390 EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
391 EXTERN PetscErrorCode MatPermuteSparsify(Mat,PetscInt,PetscReal,PetscReal,IS,IS,Mat *);
392 EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
393 EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
394 EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscTruth*);
395 EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscTruth*);
396 EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscTruth*);
397 EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscTruth*);
398 EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscTruth*);
399 
400 EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
401 EXTERN PetscErrorCode MatZeroEntries(Mat);
402 EXTERN PetscErrorCode MatZeroRows(Mat,IS,const PetscScalar*);
403 EXTERN PetscErrorCode MatZeroColumns(Mat,IS,const PetscScalar*);
404 
405 EXTERN PetscErrorCode MatUseScaledForm(Mat,PetscTruth);
406 EXTERN PetscErrorCode MatScaleSystem(Mat,Vec,Vec);
407 EXTERN PetscErrorCode MatUnScaleSystem(Mat,Vec,Vec);
408 
409 EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
410 EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
411 EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
412 
413 EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
414 EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
415 EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,PetscInt,MatReuse,Mat *);
416 EXTERN PetscErrorCode MatMerge(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
417 EXTERN PetscErrorCode MatMerge_SeqsToMPI(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
418 EXTERN PetscErrorCode MatMerge_SeqsToMPISymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
419 EXTERN PetscErrorCode MatMerge_SeqsToMPINumeric(Mat,Mat);
420 EXTERN PetscErrorCode MatDestroy_MPIAIJ_SeqsToMPI(Mat);
421 EXTERN PetscErrorCode MatGetLocalMat(Mat,MatReuse,Mat*);
422 EXTERN PetscErrorCode MatGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
423 EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,PetscInt*,Mat*);
424 EXTERN PetscErrorCode MatGetBrowsOfAoCols(Mat,Mat,MatReuse,PetscInt**,PetscScalar**,Mat*);
425 
426 EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
427 
428 EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
429 EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
430 EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
431 
432 EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
433 EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
434 EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
435 
436 EXTERN PetscErrorCode MatMatMultTranspose(Mat,Mat,MatReuse,PetscReal,Mat*);
437 EXTERN PetscErrorCode MatMatMultTransposeSymbolic(Mat,Mat,PetscReal,Mat*);
438 EXTERN PetscErrorCode MatMatMultTransposeNumeric(Mat,Mat,Mat);
439 
440 EXTERN PetscErrorCode MatAXPY(const PetscScalar *,Mat,Mat,MatStructure);
441 EXTERN PetscErrorCode MatAYPX(const PetscScalar *,Mat,Mat);
442 EXTERN PetscErrorCode MatCompress(Mat);
443 
444 EXTERN PetscErrorCode MatScale(const PetscScalar *,Mat);
445 EXTERN PetscErrorCode MatShift(const PetscScalar *,Mat);
446 
447 EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
448 EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
449 EXTERN PetscErrorCode MatZeroRowsLocal(Mat,IS,const PetscScalar*);
450 EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
451 EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
452 
453 EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
454 EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
455 
456 EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
457 EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
458 EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
459 EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
460 
461 /*MC
462    MatPreallocInitialize - Begins the block of code that will count the number of nonzeros per
463        row in a matrix providing the data that one can use to correctly preallocate the matrix.
464 
465    Synopsis:
466    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
467 
468    Collective on MPI_Comm
469 
470    Input Parameters:
471 +  comm - the communicator that will share the eventually allocated matrix
472 .  nrows - the number of LOCAL rows in the matrix
473 -  ncols - the number of LOCAL columns in the matrix
474 
475    Output Parameters:
476 +  dnz - the array that will be passed to the matrix preallocation routines
477 -  ozn - the other array passed to the matrix preallocation routines
478 
479 
480    Level: intermediate
481 
482    Notes:
483    See the chapter in the users manual on performance for more details
484 
485    Do not malloc or free dnz and onz, that is handled internally by these routines
486 
487    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
488 
489   Concepts: preallocation^Matrix
490 
491 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
492           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
493 M*/
494 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
495 { \
496   PetscErrorCode _4_ierr; PetscInt __tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
497   _4_ierr = PetscMalloc(2*__tmp*sizeof(PetscInt),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
498   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(PetscInt));CHKERRQ(_4_ierr);\
499   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
500   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
501 
502 /*MC
503    MatPreallocSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
504        row in a matrix providing the data that one can use to correctly preallocate the matrix.
505 
506    Synopsis:
507    PetscErrorCode MatPreallocateSymmetricInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
508 
509    Collective on MPI_Comm
510 
511    Input Parameters:
512 +  comm - the communicator that will share the eventually allocated matrix
513 .  nrows - the number of LOCAL rows in the matrix
514 -  ncols - the number of LOCAL columns in the matrix
515 
516    Output Parameters:
517 +  dnz - the array that will be passed to the matrix preallocation routines
518 -  ozn - the other array passed to the matrix preallocation routines
519 
520 
521    Level: intermediate
522 
523    Notes:
524    See the chapter in the users manual on performance for more details
525 
526    Do not malloc or free dnz and onz, that is handled internally by these routines
527 
528   Concepts: preallocation^Matrix
529 
530 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
531           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
532 M*/
533 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
534 { \
535   PetscErrorCode _4_ierr; PetscInt __tmp = (nrows),__ctmp = (ncols),__rstart,__end; \
536   _4_ierr = PetscMalloc(2*__tmp*sizeof(PetscInt),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
537   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(PetscInt));CHKERRQ(_4_ierr);\
538   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
539   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
540 
541 /*MC
542    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
543        inserted using a local number of the rows and columns
544 
545    Synopsis:
546    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
547 
548    Not Collective
549 
550    Input Parameters:
551 +  map - the mapping between local numbering and global numbering
552 .  nrows - the number of rows indicated
553 .  rows - the indices of the rows
554 .  ncols - the number of columns in the matrix
555 .  cols - the columns indicated
556 .  dnz - the array that will be passed to the matrix preallocation routines
557 -  ozn - the other array passed to the matrix preallocation routines
558 
559 
560    Level: intermediate
561 
562    Notes:
563    See the chapter in the users manual on performance for more details
564 
565    Do not malloc or free dnz and onz, that is handled internally by these routines
566 
567   Concepts: preallocation^Matrix
568 
569 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
570           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
571 M*/
572 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
573 {\
574   PetscInt __l;\
575   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
576   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
577   for (__l=0;__l<nrows;__l++) {\
578     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
579   }\
580 }
581 
582 /*MC
583    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
584        inserted using a local number of the rows and columns
585 
586    Synopsis:
587    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
588 
589    Not Collective
590 
591    Input Parameters:
592 +  map - the mapping between local numbering and global numbering
593 .  nrows - the number of rows indicated
594 .  rows - the indices of the rows
595 .  ncols - the number of columns in the matrix
596 .  cols - the columns indicated
597 .  dnz - the array that will be passed to the matrix preallocation routines
598 -  ozn - the other array passed to the matrix preallocation routines
599 
600 
601    Level: intermediate
602 
603    Notes:
604    See the chapter in the users manual on performance for more details
605 
606    Do not malloc or free dnz and onz that is handled internally by these routines
607 
608   Concepts: preallocation^Matrix
609 
610 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
611           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
612 M*/
613 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
614 {\
615   PetscInt __l;\
616   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
617   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
618   for (__l=0;__l<nrows;__l++) {\
619     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
620   }\
621 }
622 
623 /*MC
624    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
625        inserted using a local number of the rows and columns
626 
627    Synopsis:
628    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
629 
630    Not Collective
631 
632    Input Parameters:
633 +  nrows - the number of rows indicated
634 .  rows - the indices of the rows
635 .  ncols - the number of columns in the matrix
636 -  cols - the columns indicated
637 
638    Output Parameters:
639 +  dnz - the array that will be passed to the matrix preallocation routines
640 -  ozn - the other array passed to the matrix preallocation routines
641 
642 
643    Level: intermediate
644 
645    Notes:
646    See the chapter in the users manual on performance for more details
647 
648    Do not malloc or free dnz and onz that is handled internally by these routines
649 
650   Concepts: preallocation^Matrix
651 
652 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
653           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
654 M*/
655 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
656 { PetscInt __i; \
657   for (__i=0; __i<nc; __i++) {\
658     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
659   }\
660   dnz[row - __rstart] = nc - onz[row - __rstart];\
661 }
662 
663 /*MC
664    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
665        inserted using a local number of the rows and columns
666 
667    Synopsis:
668    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
669 
670    Not Collective
671 
672    Input Parameters:
673 +  nrows - the number of rows indicated
674 .  rows - the indices of the rows
675 .  ncols - the number of columns in the matrix
676 .  cols - the columns indicated
677 .  dnz - the array that will be passed to the matrix preallocation routines
678 -  ozn - the other array passed to the matrix preallocation routines
679 
680 
681    Level: intermediate
682 
683    Notes:
684    See the chapter in the users manual on performance for more details
685 
686    Do not malloc or free dnz and onz that is handled internally by these routines
687 
688   Concepts: preallocation^Matrix
689 
690 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
691           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
692 M*/
693 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
694 { PetscInt __i; \
695   for (__i=0; __i<nc; __i++) {\
696     if (cols[__i] >= __end) onz[row - __rstart]++; \
697     else if (cols[__i] >= row) dnz[row - __rstart]++;\
698   }\
699 }
700 
701 /*MC
702    MatPreallocFinalize - Ends the block of code that will count the number of nonzeros per
703        row in a matrix providing the data that one can use to correctly preallocate the matrix.
704 
705    Synopsis:
706    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
707 
708    Collective on MPI_Comm
709 
710    Input Parameters:
711 +  dnz - the array that will be passed to the matrix preallocation routines
712 -  ozn - the other array passed to the matrix preallocation routines
713 
714 
715    Level: intermediate
716 
717    Notes:
718    See the chapter in the users manual on performance for more details
719 
720    Do not malloc or free dnz and onz that is handled internally by these routines
721 
722   Concepts: preallocation^Matrix
723 
724 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
725           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
726 M*/
727 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);}
728 
729 
730 
731 /* Routines unique to particular data structures */
732 EXTERN PetscErrorCode MatShellGetContext(Mat,void **);
733 
734 EXTERN PetscErrorCode MatBDiagGetData(Mat,PetscInt*,PetscInt*,PetscInt*[],PetscInt*[],PetscScalar***);
735 EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
736 EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
737 EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
738 
739 EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
740 EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
741 EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
742 EXTERN PetscErrorCode MatSeqDensePreallocation(Mat,PetscScalar[]);
743 EXTERN PetscErrorCode MatSeqBDiagSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscScalar*[]);
744 EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
745 
746 EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
747 EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
748 EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
749 EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
750 EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
751 EXTERN PetscErrorCode MatMPIDensePreallocation(Mat,PetscScalar[]);
752 EXTERN PetscErrorCode MatMPIBDiagSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscScalar*[]);
753 EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
754 EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
755 EXTERN PetscErrorCode MatMPIRowbsSetPreallocation(Mat,PetscInt,const PetscInt[]);
756 EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
757 EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
758 EXTERN PetscErrorCode MatAdicSetLocalFunction(Mat,void (*)(void));
759 
760 EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
761 
762 EXTERN PetscErrorCode MatStoreValues(Mat);
763 EXTERN PetscErrorCode MatRetrieveValues(Mat);
764 
765 EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
766 
767 /*
768   These routines are not usually accessed directly, rather solving is
769   done through the KSP and PC interfaces.
770 */
771 
772 /*E
773     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
774        with an optional dynamic library name, for example
775        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
776 
777    Level: beginner
778 
779 .seealso: MatGetOrdering()
780 E*/
781 #define MatOrderingType char*
782 #define MATORDERING_NATURAL   "natural"
783 #define MATORDERING_ND        "nd"
784 #define MATORDERING_1WD       "1wd"
785 #define MATORDERING_RCM       "rcm"
786 #define MATORDERING_QMD       "qmd"
787 #define MATORDERING_ROWLENGTH "rowlength"
788 #define MATORDERING_DSC_ND    "dsc_nd"
789 #define MATORDERING_DSC_MMD   "dsc_mmd"
790 #define MATORDERING_DSC_MDF   "dsc_mdf"
791 #define MATORDERING_CONSTRAINED "constrained"
792 #define MATORDERING_IDENTITY  "identity"
793 #define MATORDERING_REVERSE   "reverse"
794 
795 EXTERN PetscErrorCode MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
796 EXTERN PetscErrorCode MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
797 
798 /*MC
799    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the
800                                matrix package.
801 
802    Synopsis:
803    PetscErrorCode MatOrderingRegisterDynamic(char *name_ordering,char *path,char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
804 
805    Not Collective
806 
807    Input Parameters:
808 +  sname - name of ordering (for example MATORDERING_ND)
809 .  path - location of library where creation routine is
810 .  name - name of function that creates the ordering type,a string
811 -  function - function pointer that creates the ordering
812 
813    Level: developer
814 
815    If dynamic libraries are used, then the fourth input argument (function)
816    is ignored.
817 
818    Sample usage:
819 .vb
820    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
821                "MyOrder",MyOrder);
822 .ve
823 
824    Then, your partitioner can be chosen with the procedural interface via
825 $     MatOrderingSetType(part,"my_order)
826    or at runtime via the option
827 $     -pc_ilu_mat_ordering_type my_order
828 $     -pc_lu_mat_ordering_type my_order
829 
830    ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
831 
832 .keywords: matrix, ordering, register
833 
834 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
835 M*/
836 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
837 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
838 #else
839 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
840 #endif
841 
842 EXTERN PetscErrorCode        MatOrderingRegisterDestroy(void);
843 EXTERN PetscErrorCode        MatOrderingRegisterAll(const char[]);
844 extern PetscTruth MatOrderingRegisterAllCalled;
845 extern PetscFList MatOrderingList;
846 
847 EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
848 
849 /*S
850    MatFactorInfo - Data based into the matrix factorization routines
851 
852    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE
853 
854    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
855 
856    Level: developer
857 
858 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
859           MatFactorInfoInitialize()
860 
861 S*/
862 typedef struct {
863   PetscReal     shiftnz;        /* scaling of identity added to matrix to prevent zero pivots */
864   PetscTruth    shiftpd;         /* if true, shift until positive pivots */
865   PetscReal     shift_fraction; /* record shift fraction taken */
866   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
867   PetscReal     dt;             /* drop tolerance */
868   PetscReal     dtcol;          /* tolerance for pivoting */
869   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
870   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
871   PetscReal     levels;         /* ICC/ILU(levels) */
872   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
873                                    factorization may be faster if do not pivot */
874   PetscReal     zeropivot;      /* pivot is called zero if less than this */
875 } MatFactorInfo;
876 
877 EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
878 EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,MatFactorInfo*);
879 EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
880 EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,MatFactorInfo*,Mat*);
881 EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,MatFactorInfo*);
882 EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,MatFactorInfo*);
883 EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
884 EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
885 EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
886 EXTERN PetscErrorCode MatICCFactor(Mat,IS,MatFactorInfo*);
887 EXTERN PetscErrorCode MatLUFactorNumeric(Mat,MatFactorInfo*,Mat*);
888 EXTERN PetscErrorCode MatILUDTFactor(Mat,MatFactorInfo*,IS,IS,Mat *);
889 EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
890 EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
891 EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
892 EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
893 EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
894 EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
895 EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
896 EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
897 
898 EXTERN PetscErrorCode MatSetUnfactored(Mat);
899 
900 /*E
901     MatSORType - What type of (S)SOR to perform
902 
903     Level: beginner
904 
905    May be bitwise ORd together
906 
907    Any additions/changes here MUST also be made in include/finclude/petscmat.h
908 
909    MatSORType may be bitwise ORd together, so do not change the numbers
910 
911 .seealso: MatRelax(), MatPBRelax()
912 E*/
913 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
914               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
915               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
916               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
917 EXTERN PetscErrorCode MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
918 EXTERN PetscErrorCode MatPBRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
919 
920 /*
921     These routines are for efficiently computing Jacobians via finite differences.
922 */
923 
924 /*E
925     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
926        with an optional dynamic library name, for example
927        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
928 
929    Level: beginner
930 
931 .seealso: MatGetColoring()
932 E*/
933 #define MatColoringType char*
934 #define MATCOLORING_NATURAL "natural"
935 #define MATCOLORING_SL      "sl"
936 #define MATCOLORING_LF      "lf"
937 #define MATCOLORING_ID      "id"
938 
939 EXTERN PetscErrorCode MatGetColoring(Mat,const MatColoringType,ISColoring*);
940 EXTERN PetscErrorCode MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatColoringType,ISColoring *));
941 
942 /*MC
943    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
944                                matrix package.
945 
946    Synopsis:
947    PetscErrorCode MatColoringRegisterDynamic(char *name_coloring,char *path,char *name_create,PetscErrorCode (*routine_create)(MatColoring))
948 
949    Not Collective
950 
951    Input Parameters:
952 +  sname - name of Coloring (for example MATCOLORING_SL)
953 .  path - location of library where creation routine is
954 .  name - name of function that creates the Coloring type, a string
955 -  function - function pointer that creates the coloring
956 
957    Level: developer
958 
959    If dynamic libraries are used, then the fourth input argument (function)
960    is ignored.
961 
962    Sample usage:
963 .vb
964    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
965                "MyColor",MyColor);
966 .ve
967 
968    Then, your partitioner can be chosen with the procedural interface via
969 $     MatColoringSetType(part,"my_color")
970    or at runtime via the option
971 $     -mat_coloring_type my_color
972 
973    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
974 
975 .keywords: matrix, Coloring, register
976 
977 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
978 M*/
979 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
980 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
981 #else
982 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
983 #endif
984 
985 extern PetscTruth MatColoringRegisterAllCalled;
986 
987 EXTERN PetscErrorCode        MatColoringRegisterAll(const char[]);
988 EXTERN PetscErrorCode        MatColoringRegisterDestroy(void);
989 EXTERN PetscErrorCode        MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
990 
991 /*S
992      MatFDColoring - Object for computing a sparse Jacobian via finite differences
993         and coloring
994 
995    Level: beginner
996 
997   Concepts: coloring, sparse Jacobian, finite differences
998 
999 .seealso:  MatFDColoringCreate()
1000 S*/
1001 typedef struct _p_MatFDColoring *MatFDColoring;
1002 
1003 EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1004 EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring);
1005 EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1006 EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1007 EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1008 EXTERN PetscErrorCode MatFDColoringSetFrequency(MatFDColoring,PetscInt);
1009 EXTERN PetscErrorCode MatFDColoringGetFrequency(MatFDColoring,PetscInt*);
1010 EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1011 EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1012 EXTERN PetscErrorCode MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
1013 EXTERN PetscErrorCode MatFDColoringSetRecompute(MatFDColoring);
1014 EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1015 EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1016 /*
1017     These routines are for partitioning matrices: currently used only
1018   for adjacency matrix, MatCreateMPIAdj().
1019 */
1020 
1021 /*S
1022      MatPartitioning - Object for managing the partitioning of a matrix or graph
1023 
1024    Level: beginner
1025 
1026   Concepts: partitioning
1027 
1028 .seealso:  MatPartitioningCreate(), MatPartitioningType
1029 S*/
1030 typedef struct _p_MatPartitioning *MatPartitioning;
1031 
1032 /*E
1033     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1034        with an optional dynamic library name, for example
1035        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1036 
1037    Level: beginner
1038 
1039 .seealso: MatPartitioningCreate(), MatPartitioning
1040 E*/
1041 #define MatPartitioningType char*
1042 #define MAT_PARTITIONING_CURRENT  "current"
1043 #define MAT_PARTITIONING_SQUARE   "square"
1044 #define MAT_PARTITIONING_PARMETIS "parmetis"
1045 #define MAT_PARTITIONING_CHACO    "chaco"
1046 #define MAT_PARTITIONING_JOSTLE   "jostle"
1047 #define MAT_PARTITIONING_PARTY    "party"
1048 #define MAT_PARTITIONING_SCOTCH   "scotch"
1049 
1050 
1051 EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1052 EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1053 EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1054 EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1055 EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1056 EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1057 EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1058 EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning);
1059 
1060 EXTERN PetscErrorCode MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1061 
1062 /*MC
1063    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1064    matrix package.
1065 
1066    Synopsis:
1067    PetscErrorCode MatPartitioningRegisterDynamic(char *name_partitioning,char *path,char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1068 
1069    Not Collective
1070 
1071    Input Parameters:
1072 +  sname - name of partitioning (for example MAT_PARTITIONING_CURRENT) or parmetis
1073 .  path - location of library where creation routine is
1074 .  name - name of function that creates the partitioning type, a string
1075 -  function - function pointer that creates the partitioning type
1076 
1077    Level: developer
1078 
1079    If dynamic libraries are used, then the fourth input argument (function)
1080    is ignored.
1081 
1082    Sample usage:
1083 .vb
1084    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1085                "MyPartCreate",MyPartCreate);
1086 .ve
1087 
1088    Then, your partitioner can be chosen with the procedural interface via
1089 $     MatPartitioningSetType(part,"my_part")
1090    or at runtime via the option
1091 $     -mat_partitioning_type my_part
1092 
1093    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1094 
1095 .keywords: matrix, partitioning, register
1096 
1097 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1098 M*/
1099 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1100 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1101 #else
1102 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1103 #endif
1104 
1105 extern PetscTruth MatPartitioningRegisterAllCalled;
1106 
1107 EXTERN PetscErrorCode MatPartitioningRegisterAll(const char[]);
1108 EXTERN PetscErrorCode MatPartitioningRegisterDestroy(void);
1109 
1110 EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1111 EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1112 EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1113 
1114 EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1115 
1116 EXTERN PetscErrorCode MatPartitioningJostleSetCoarseLevel(MatPartitioning,PetscReal);
1117 EXTERN PetscErrorCode MatPartitioningJostleSetCoarseSequential(MatPartitioning);
1118 
1119 typedef enum { MP_CHACO_MULTILEVEL_KL, MP_CHACO_SPECTRAL, MP_CHACO_LINEAR,
1120     MP_CHACO_RANDOM, MP_CHACO_SCATTERED } MPChacoGlobalType;
1121 EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1122 typedef enum { MP_CHACO_KERNIGHAN_LIN, MP_CHACO_NONE } MPChacoLocalType;
1123 EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1124 EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1125 typedef enum { MP_CHACO_LANCZOS, MP_CHACO_RQI_SYMMLQ } MPChacoEigenType;
1126 EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1127 EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1128 EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1129 
1130 #define MP_PARTY_OPT "opt"
1131 #define MP_PARTY_LIN "lin"
1132 #define MP_PARTY_SCA "sca"
1133 #define MP_PARTY_RAN "ran"
1134 #define MP_PARTY_GBF "gbf"
1135 #define MP_PARTY_GCF "gcf"
1136 #define MP_PARTY_BUB "bub"
1137 #define MP_PARTY_DEF "def"
1138 EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char*);
1139 #define MP_PARTY_HELPFUL_SETS "hs"
1140 #define MP_PARTY_KERNIGHAN_LIN "kl"
1141 #define MP_PARTY_NONE "no"
1142 EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char*);
1143 EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1144 EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscTruth);
1145 EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscTruth);
1146 
1147 typedef enum { MP_SCOTCH_GREEDY, MP_SCOTCH_GPS, MP_SCOTCH_GR_GPS } MPScotchGlobalType;
1148 EXTERN PetscErrorCode MatPartitioningScotchSetArch(MatPartitioning,const char*);
1149 EXTERN PetscErrorCode MatPartitioningScotchSetMultilevel(MatPartitioning);
1150 EXTERN PetscErrorCode MatPartitioningScotchSetGlobal(MatPartitioning,MPScotchGlobalType);
1151 EXTERN PetscErrorCode MatPartitioningScotchSetCoarseLevel(MatPartitioning,PetscReal);
1152 EXTERN PetscErrorCode MatPartitioningScotchSetHostList(MatPartitioning,const char*);
1153 typedef enum { MP_SCOTCH_KERNIGHAN_LIN, MP_SCOTCH_NONE } MPScotchLocalType;
1154 EXTERN PetscErrorCode MatPartitioningScotchSetLocal(MatPartitioning,MPScotchLocalType);
1155 EXTERN PetscErrorCode MatPartitioningScotchSetMapping(MatPartitioning);
1156 EXTERN PetscErrorCode MatPartitioningScotchSetStrategy(MatPartitioning,char*);
1157 
1158 /*
1159     If you add entries here you must also add them to finclude/petscmat.h
1160 */
1161 typedef enum { MATOP_SET_VALUES=0,
1162                MATOP_GET_ROW=1,
1163                MATOP_RESTORE_ROW=2,
1164                MATOP_MULT=3,
1165                MATOP_MULT_ADD=4,
1166                MATOP_MULT_TRANSPOSE=5,
1167                MATOP_MULT_TRANSPOSE_ADD=6,
1168                MATOP_SOLVE=7,
1169                MATOP_SOLVE_ADD=8,
1170                MATOP_SOLVE_TRANSPOSE=9,
1171                MATOP_SOLVE_TRANSPOSE_ADD=10,
1172                MATOP_LUFACTOR=11,
1173                MATOP_CHOLESKYFACTOR=12,
1174                MATOP_RELAX=13,
1175                MATOP_TRANSPOSE=14,
1176                MATOP_GETINFO=15,
1177                MATOP_EQUAL=16,
1178                MATOP_GET_DIAGONAL=17,
1179                MATOP_DIAGONAL_SCALE=18,
1180                MATOP_NORM=19,
1181                MATOP_ASSEMBLY_BEGIN=20,
1182                MATOP_ASSEMBLY_END=21,
1183                MATOP_COMPRESS=22,
1184                MATOP_SET_OPTION=23,
1185                MATOP_ZERO_ENTRIES=24,
1186                MATOP_ZERO_ROWS=25,
1187                MATOP_LUFACTOR_SYMBOLIC=26,
1188                MATOP_LUFACTOR_NUMERIC=27,
1189                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
1190                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
1191                MATOP_SETUP_PREALLOCATION=30,
1192                MATOP_ILUFACTOR_SYMBOLIC=31,
1193                MATOP_ICCFACTOR_SYMBOLIC=32,
1194                MATOP_GET_ARRAY=33,
1195                MATOP_RESTORE_ARRAY=34,
1196                MATOP_DUPLCIATE=35,
1197                MATOP_FORWARD_SOLVE=36,
1198                MATOP_BACKWARD_SOLVE=37,
1199                MATOP_ILUFACTOR=38,
1200                MATOP_ICCFACTOR=39,
1201                MATOP_AXPY=40,
1202                MATOP_GET_SUBMATRICES=41,
1203                MATOP_INCREASE_OVERLAP=42,
1204                MATOP_GET_VALUES=43,
1205                MATOP_COPY=44,
1206                MATOP_PRINT_HELP=45,
1207                MATOP_SCALE=46,
1208                MATOP_SHIFT=47,
1209                MATOP_DIAGONAL_SHIFT=48,
1210                MATOP_ILUDT_FACTOR=49,
1211                MATOP_GET_BLOCK_SIZE=50,
1212                MATOP_GET_ROW_IJ=51,
1213                MATOP_RESTORE_ROW_IJ=52,
1214                MATOP_GET_COLUMN_IJ=53,
1215                MATOP_RESTORE_COLUMN_IJ=54,
1216                MATOP_FDCOLORING_CREATE=55,
1217                MATOP_COLORING_PATCH=56,
1218                MATOP_SET_UNFACTORED=57,
1219                MATOP_PERMUTE=58,
1220                MATOP_SET_VALUES_BLOCKED=59,
1221                MATOP_GET_SUBMATRIX=60,
1222                MATOP_DESTROY=61,
1223                MATOP_VIEW=62,
1224                MATOP_GET_MAPS=63,
1225                MATOP_USE_SCALED_FORM=64,
1226                MATOP_SCALE_SYSTEM=65,
1227                MATOP_UNSCALE_SYSTEM=66,
1228                MATOP_SET_LOCAL_TO_GLOBAL_MAP=67,
1229                MATOP_SET_VALUES_LOCAL=68,
1230                MATOP_ZERO_ROWS_LOCAL=69,
1231                MATOP_GET_ROW_MAX=70,
1232                MATOP_CONVERT=71,
1233                MATOP_SET_COLORING=72,
1234                MATOP_SET_VALUES_ADIC=73,
1235                MATOP_SET_VALUES_ADIFOR=74,
1236                MATOP_FD_COLORING_APPLY=75,
1237                MATOP_SET_FROM_OPTIONS=76,
1238                MATOP_MULT_CON=77,
1239                MATOP_MULT_TRANSPOSE_CON=78,
1240                MATOP_ILU_FACTOR_SYMBOLIC_CON=79,
1241                MATOP_PERMUTE_SPARSIFY=80,
1242                MATOP_MULT_MULTIPLE=81,
1243                MATOP_SOLVE_MULTIPLE=82,
1244                MATOP_GET_INERTIA=83,
1245                MATOP_LOAD=84,
1246                MATOP_IS_SYMMETRIC=85,
1247                MATOP_IS_HERMITIAN=86,
1248                MATOP_IS_STRUCTURALLY_SYMMETRIC=87,
1249                MATOP_PB_RELAX=88,
1250                MATOP_GET_VECS=89,
1251                MATOP_MAT_MULT=90,
1252                MATOP_MAT_MULT_SYMBOLIC=91,
1253                MATOP_MAT_MULT_NUMERIC=92,
1254                MATOP_PTAP=93,
1255                MATOP_PTAP_SYMBOLIC=94,
1256                MATOP_PTAP_NUMERIC=95,
1257                MATOP_MAT_MULTTRANSPOSE=96,
1258                MATOP_MAT_MULTTRANSPOSE_SYMBOLIC=97,
1259                MATOP_MAT_MULTTRANSPOSE_NUMERIC=98,
1260                MATOP_PTAP_SYMBOLIC_SEQAIJ=99,
1261                MATOP_PTAP_NUMERIC_SEQAIJ=100,
1262                MATOP_PTAP_SYMBOLIC_MPIAIJ=101,
1263                MATOP_PTAP_NUMERIC_MPIAIJ=102
1264              } MatOperation;
1265 EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscTruth*);
1266 EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1267 EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1268 EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1269 
1270 /*
1271    Codes for matrices stored on disk. By default they are
1272  stored in a universal format. By changing the format with
1273  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
1274  be stored in a way natural for the matrix, for example dense matrices
1275  would be stored as dense. Matrices stored this way may only be
1276  read into matrices of the same time.
1277 */
1278 #define MATRIX_BINARY_FORMAT_DENSE -1
1279 
1280 EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1281 EXTERN PetscErrorCode MatSeqAIJGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1282 EXTERN PetscErrorCode MatMPIRowbsGetColor(Mat,ISColoring *);
1283 
1284 EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1285 
1286 /*S
1287      MatNullSpace - Object that removes a null space from a vector, i.e.
1288          orthogonalizes the vector to a subsapce
1289 
1290    Level: advanced
1291 
1292   Concepts: matrix; linear operator, null space
1293 
1294   Users manual sections:
1295 .   sec_singular
1296 
1297 .seealso:  MatNullSpaceCreate()
1298 S*/
1299 typedef struct _p_MatNullSpace* MatNullSpace;
1300 
1301 EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscTruth,PetscInt,const Vec[],MatNullSpace*);
1302 EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace);
1303 EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1304 EXTERN PetscErrorCode MatNullSpaceAttach(Mat,MatNullSpace);
1305 EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat);
1306 
1307 EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1308 EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1309 EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1310 
1311 
1312 EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1313 EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1314 EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1315 
1316 EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1317 
1318 EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1319 
1320 EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1321 EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1322 
1323 PETSC_EXTERN_CXX_END
1324 #endif
1325