xref: /petsc/include/petscmat.h (revision 7529efd4b68aedd45db7642b3ca14a621048ee72)
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 
736 EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
737 EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
738 
739 EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
740 EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
741 EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
742 
743 EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
744 EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
745 EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
746 EXTERN PetscErrorCode MatSeqDensePreallocation(Mat,PetscScalar[]);
747 EXTERN PetscErrorCode MatSeqBDiagSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscScalar*[]);
748 EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
749 
750 EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
751 EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
752 EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
753 EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
754 EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
755 EXTERN PetscErrorCode MatMPIDensePreallocation(Mat,PetscScalar[]);
756 EXTERN PetscErrorCode MatMPIBDiagSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscScalar*[]);
757 EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
758 EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
759 EXTERN PetscErrorCode MatMPIRowbsSetPreallocation(Mat,PetscInt,const PetscInt[]);
760 EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
761 EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
762 EXTERN PetscErrorCode MatAdicSetLocalFunction(Mat,void (*)(void));
763 
764 EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
765 
766 EXTERN PetscErrorCode MatStoreValues(Mat);
767 EXTERN PetscErrorCode MatRetrieveValues(Mat);
768 
769 EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
770 
771 /*
772   These routines are not usually accessed directly, rather solving is
773   done through the KSP and PC interfaces.
774 */
775 
776 /*E
777     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
778        with an optional dynamic library name, for example
779        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
780 
781    Level: beginner
782 
783 .seealso: MatGetOrdering()
784 E*/
785 #define MatOrderingType char*
786 #define MATORDERING_NATURAL   "natural"
787 #define MATORDERING_ND        "nd"
788 #define MATORDERING_1WD       "1wd"
789 #define MATORDERING_RCM       "rcm"
790 #define MATORDERING_QMD       "qmd"
791 #define MATORDERING_ROWLENGTH "rowlength"
792 #define MATORDERING_DSC_ND    "dsc_nd"
793 #define MATORDERING_DSC_MMD   "dsc_mmd"
794 #define MATORDERING_DSC_MDF   "dsc_mdf"
795 #define MATORDERING_CONSTRAINED "constrained"
796 #define MATORDERING_IDENTITY  "identity"
797 #define MATORDERING_REVERSE   "reverse"
798 
799 EXTERN PetscErrorCode MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
800 EXTERN PetscErrorCode MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
801 
802 /*MC
803    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the
804                                matrix package.
805 
806    Synopsis:
807    PetscErrorCode MatOrderingRegisterDynamic(char *name_ordering,char *path,char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
808 
809    Not Collective
810 
811    Input Parameters:
812 +  sname - name of ordering (for example MATORDERING_ND)
813 .  path - location of library where creation routine is
814 .  name - name of function that creates the ordering type,a string
815 -  function - function pointer that creates the ordering
816 
817    Level: developer
818 
819    If dynamic libraries are used, then the fourth input argument (function)
820    is ignored.
821 
822    Sample usage:
823 .vb
824    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
825                "MyOrder",MyOrder);
826 .ve
827 
828    Then, your partitioner can be chosen with the procedural interface via
829 $     MatOrderingSetType(part,"my_order)
830    or at runtime via the option
831 $     -pc_ilu_mat_ordering_type my_order
832 $     -pc_lu_mat_ordering_type my_order
833 
834    ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
835 
836 .keywords: matrix, ordering, register
837 
838 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
839 M*/
840 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
841 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
842 #else
843 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
844 #endif
845 
846 EXTERN PetscErrorCode        MatOrderingRegisterDestroy(void);
847 EXTERN PetscErrorCode        MatOrderingRegisterAll(const char[]);
848 extern PetscTruth MatOrderingRegisterAllCalled;
849 extern PetscFList MatOrderingList;
850 
851 EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
852 
853 /*S
854    MatFactorInfo - Data based into the matrix factorization routines
855 
856    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE
857 
858    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
859 
860    Level: developer
861 
862 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
863           MatFactorInfoInitialize()
864 
865 S*/
866 typedef struct {
867   PetscReal     shiftnz;        /* scaling of identity added to matrix to prevent zero pivots */
868   PetscTruth    shiftpd;         /* if true, shift until positive pivots */
869   PetscReal     shift_fraction; /* record shift fraction taken */
870   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
871   PetscReal     dt;             /* drop tolerance */
872   PetscReal     dtcol;          /* tolerance for pivoting */
873   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
874   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
875   PetscReal     levels;         /* ICC/ILU(levels) */
876   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
877                                    factorization may be faster if do not pivot */
878   PetscReal     zeropivot;      /* pivot is called zero if less than this */
879 } MatFactorInfo;
880 
881 EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
882 EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,MatFactorInfo*);
883 EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
884 EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,MatFactorInfo*,Mat*);
885 EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,MatFactorInfo*);
886 EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,MatFactorInfo*);
887 EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
888 EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
889 EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
890 EXTERN PetscErrorCode MatICCFactor(Mat,IS,MatFactorInfo*);
891 EXTERN PetscErrorCode MatLUFactorNumeric(Mat,MatFactorInfo*,Mat*);
892 EXTERN PetscErrorCode MatILUDTFactor(Mat,IS,IS,MatFactorInfo*,Mat *);
893 EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
894 EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
895 EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
896 EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
897 EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
898 EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
899 EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
900 EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
901 
902 EXTERN PetscErrorCode MatSetUnfactored(Mat);
903 
904 /*E
905     MatSORType - What type of (S)SOR to perform
906 
907     Level: beginner
908 
909    May be bitwise ORd together
910 
911    Any additions/changes here MUST also be made in include/finclude/petscmat.h
912 
913    MatSORType may be bitwise ORd together, so do not change the numbers
914 
915 .seealso: MatRelax(), MatPBRelax()
916 E*/
917 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
918               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
919               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
920               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
921 EXTERN PetscErrorCode MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
922 EXTERN PetscErrorCode MatPBRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
923 
924 /*
925     These routines are for efficiently computing Jacobians via finite differences.
926 */
927 
928 /*E
929     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
930        with an optional dynamic library name, for example
931        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
932 
933    Level: beginner
934 
935 .seealso: MatGetColoring()
936 E*/
937 #define MatColoringType char*
938 #define MATCOLORING_NATURAL "natural"
939 #define MATCOLORING_SL      "sl"
940 #define MATCOLORING_LF      "lf"
941 #define MATCOLORING_ID      "id"
942 
943 EXTERN PetscErrorCode MatGetColoring(Mat,const MatColoringType,ISColoring*);
944 EXTERN PetscErrorCode MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatColoringType,ISColoring *));
945 
946 /*MC
947    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
948                                matrix package.
949 
950    Synopsis:
951    PetscErrorCode MatColoringRegisterDynamic(char *name_coloring,char *path,char *name_create,PetscErrorCode (*routine_create)(MatColoring))
952 
953    Not Collective
954 
955    Input Parameters:
956 +  sname - name of Coloring (for example MATCOLORING_SL)
957 .  path - location of library where creation routine is
958 .  name - name of function that creates the Coloring type, a string
959 -  function - function pointer that creates the coloring
960 
961    Level: developer
962 
963    If dynamic libraries are used, then the fourth input argument (function)
964    is ignored.
965 
966    Sample usage:
967 .vb
968    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
969                "MyColor",MyColor);
970 .ve
971 
972    Then, your partitioner can be chosen with the procedural interface via
973 $     MatColoringSetType(part,"my_color")
974    or at runtime via the option
975 $     -mat_coloring_type my_color
976 
977    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
978 
979 .keywords: matrix, Coloring, register
980 
981 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
982 M*/
983 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
984 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
985 #else
986 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
987 #endif
988 
989 extern PetscTruth MatColoringRegisterAllCalled;
990 
991 EXTERN PetscErrorCode        MatColoringRegisterAll(const char[]);
992 EXTERN PetscErrorCode        MatColoringRegisterDestroy(void);
993 EXTERN PetscErrorCode        MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
994 
995 /*S
996      MatFDColoring - Object for computing a sparse Jacobian via finite differences
997         and coloring
998 
999    Level: beginner
1000 
1001   Concepts: coloring, sparse Jacobian, finite differences
1002 
1003 .seealso:  MatFDColoringCreate()
1004 S*/
1005 typedef struct _p_MatFDColoring *MatFDColoring;
1006 
1007 EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1008 EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring);
1009 EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1010 EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1011 EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1012 EXTERN PetscErrorCode MatFDColoringSetFrequency(MatFDColoring,PetscInt);
1013 EXTERN PetscErrorCode MatFDColoringGetFrequency(MatFDColoring,PetscInt*);
1014 EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1015 EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1016 EXTERN PetscErrorCode MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
1017 EXTERN PetscErrorCode MatFDColoringSetRecompute(MatFDColoring);
1018 EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1019 EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1020 /*
1021     These routines are for partitioning matrices: currently used only
1022   for adjacency matrix, MatCreateMPIAdj().
1023 */
1024 
1025 /*S
1026      MatPartitioning - Object for managing the partitioning of a matrix or graph
1027 
1028    Level: beginner
1029 
1030   Concepts: partitioning
1031 
1032 .seealso:  MatPartitioningCreate(), MatPartitioningType
1033 S*/
1034 typedef struct _p_MatPartitioning *MatPartitioning;
1035 
1036 /*E
1037     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1038        with an optional dynamic library name, for example
1039        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1040 
1041    Level: beginner
1042 
1043 .seealso: MatPartitioningCreate(), MatPartitioning
1044 E*/
1045 #define MatPartitioningType char*
1046 #define MAT_PARTITIONING_CURRENT  "current"
1047 #define MAT_PARTITIONING_SQUARE   "square"
1048 #define MAT_PARTITIONING_PARMETIS "parmetis"
1049 #define MAT_PARTITIONING_CHACO    "chaco"
1050 #define MAT_PARTITIONING_JOSTLE   "jostle"
1051 #define MAT_PARTITIONING_PARTY    "party"
1052 #define MAT_PARTITIONING_SCOTCH   "scotch"
1053 
1054 
1055 EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1056 EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1057 EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1058 EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1059 EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1060 EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1061 EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1062 EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning);
1063 
1064 EXTERN PetscErrorCode MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1065 
1066 /*MC
1067    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1068    matrix package.
1069 
1070    Synopsis:
1071    PetscErrorCode MatPartitioningRegisterDynamic(char *name_partitioning,char *path,char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1072 
1073    Not Collective
1074 
1075    Input Parameters:
1076 +  sname - name of partitioning (for example MAT_PARTITIONING_CURRENT) or parmetis
1077 .  path - location of library where creation routine is
1078 .  name - name of function that creates the partitioning type, a string
1079 -  function - function pointer that creates the partitioning type
1080 
1081    Level: developer
1082 
1083    If dynamic libraries are used, then the fourth input argument (function)
1084    is ignored.
1085 
1086    Sample usage:
1087 .vb
1088    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1089                "MyPartCreate",MyPartCreate);
1090 .ve
1091 
1092    Then, your partitioner can be chosen with the procedural interface via
1093 $     MatPartitioningSetType(part,"my_part")
1094    or at runtime via the option
1095 $     -mat_partitioning_type my_part
1096 
1097    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1098 
1099 .keywords: matrix, partitioning, register
1100 
1101 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1102 M*/
1103 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1104 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1105 #else
1106 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1107 #endif
1108 
1109 extern PetscTruth MatPartitioningRegisterAllCalled;
1110 
1111 EXTERN PetscErrorCode MatPartitioningRegisterAll(const char[]);
1112 EXTERN PetscErrorCode MatPartitioningRegisterDestroy(void);
1113 
1114 EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1115 EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1116 EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1117 
1118 EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1119 
1120 EXTERN PetscErrorCode MatPartitioningJostleSetCoarseLevel(MatPartitioning,PetscReal);
1121 EXTERN PetscErrorCode MatPartitioningJostleSetCoarseSequential(MatPartitioning);
1122 
1123 typedef enum { MP_CHACO_MULTILEVEL_KL, MP_CHACO_SPECTRAL, MP_CHACO_LINEAR,
1124     MP_CHACO_RANDOM, MP_CHACO_SCATTERED } MPChacoGlobalType;
1125 EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1126 typedef enum { MP_CHACO_KERNIGHAN_LIN, MP_CHACO_NONE } MPChacoLocalType;
1127 EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1128 EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1129 typedef enum { MP_CHACO_LANCZOS, MP_CHACO_RQI_SYMMLQ } MPChacoEigenType;
1130 EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1131 EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1132 EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1133 
1134 #define MP_PARTY_OPT "opt"
1135 #define MP_PARTY_LIN "lin"
1136 #define MP_PARTY_SCA "sca"
1137 #define MP_PARTY_RAN "ran"
1138 #define MP_PARTY_GBF "gbf"
1139 #define MP_PARTY_GCF "gcf"
1140 #define MP_PARTY_BUB "bub"
1141 #define MP_PARTY_DEF "def"
1142 EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char*);
1143 #define MP_PARTY_HELPFUL_SETS "hs"
1144 #define MP_PARTY_KERNIGHAN_LIN "kl"
1145 #define MP_PARTY_NONE "no"
1146 EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char*);
1147 EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1148 EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscTruth);
1149 EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscTruth);
1150 
1151 typedef enum { MP_SCOTCH_GREEDY, MP_SCOTCH_GPS, MP_SCOTCH_GR_GPS } MPScotchGlobalType;
1152 EXTERN PetscErrorCode MatPartitioningScotchSetArch(MatPartitioning,const char*);
1153 EXTERN PetscErrorCode MatPartitioningScotchSetMultilevel(MatPartitioning);
1154 EXTERN PetscErrorCode MatPartitioningScotchSetGlobal(MatPartitioning,MPScotchGlobalType);
1155 EXTERN PetscErrorCode MatPartitioningScotchSetCoarseLevel(MatPartitioning,PetscReal);
1156 EXTERN PetscErrorCode MatPartitioningScotchSetHostList(MatPartitioning,const char*);
1157 typedef enum { MP_SCOTCH_KERNIGHAN_LIN, MP_SCOTCH_NONE } MPScotchLocalType;
1158 EXTERN PetscErrorCode MatPartitioningScotchSetLocal(MatPartitioning,MPScotchLocalType);
1159 EXTERN PetscErrorCode MatPartitioningScotchSetMapping(MatPartitioning);
1160 EXTERN PetscErrorCode MatPartitioningScotchSetStrategy(MatPartitioning,char*);
1161 
1162 /*
1163     If you add entries here you must also add them to finclude/petscmat.h
1164 */
1165 typedef enum { MATOP_SET_VALUES=0,
1166                MATOP_GET_ROW=1,
1167                MATOP_RESTORE_ROW=2,
1168                MATOP_MULT=3,
1169                MATOP_MULT_ADD=4,
1170                MATOP_MULT_TRANSPOSE=5,
1171                MATOP_MULT_TRANSPOSE_ADD=6,
1172                MATOP_SOLVE=7,
1173                MATOP_SOLVE_ADD=8,
1174                MATOP_SOLVE_TRANSPOSE=9,
1175                MATOP_SOLVE_TRANSPOSE_ADD=10,
1176                MATOP_LUFACTOR=11,
1177                MATOP_CHOLESKYFACTOR=12,
1178                MATOP_RELAX=13,
1179                MATOP_TRANSPOSE=14,
1180                MATOP_GETINFO=15,
1181                MATOP_EQUAL=16,
1182                MATOP_GET_DIAGONAL=17,
1183                MATOP_DIAGONAL_SCALE=18,
1184                MATOP_NORM=19,
1185                MATOP_ASSEMBLY_BEGIN=20,
1186                MATOP_ASSEMBLY_END=21,
1187                MATOP_COMPRESS=22,
1188                MATOP_SET_OPTION=23,
1189                MATOP_ZERO_ENTRIES=24,
1190                MATOP_ZERO_ROWS=25,
1191                MATOP_LUFACTOR_SYMBOLIC=26,
1192                MATOP_LUFACTOR_NUMERIC=27,
1193                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
1194                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
1195                MATOP_SETUP_PREALLOCATION=30,
1196                MATOP_ILUFACTOR_SYMBOLIC=31,
1197                MATOP_ICCFACTOR_SYMBOLIC=32,
1198                MATOP_GET_ARRAY=33,
1199                MATOP_RESTORE_ARRAY=34,
1200                MATOP_DUPLCIATE=35,
1201                MATOP_FORWARD_SOLVE=36,
1202                MATOP_BACKWARD_SOLVE=37,
1203                MATOP_ILUFACTOR=38,
1204                MATOP_ICCFACTOR=39,
1205                MATOP_AXPY=40,
1206                MATOP_GET_SUBMATRICES=41,
1207                MATOP_INCREASE_OVERLAP=42,
1208                MATOP_GET_VALUES=43,
1209                MATOP_COPY=44,
1210                MATOP_PRINT_HELP=45,
1211                MATOP_SCALE=46,
1212                MATOP_SHIFT=47,
1213                MATOP_DIAGONAL_SHIFT=48,
1214                MATOP_ILUDT_FACTOR=49,
1215                MATOP_GET_BLOCK_SIZE=50,
1216                MATOP_GET_ROW_IJ=51,
1217                MATOP_RESTORE_ROW_IJ=52,
1218                MATOP_GET_COLUMN_IJ=53,
1219                MATOP_RESTORE_COLUMN_IJ=54,
1220                MATOP_FDCOLORING_CREATE=55,
1221                MATOP_COLORING_PATCH=56,
1222                MATOP_SET_UNFACTORED=57,
1223                MATOP_PERMUTE=58,
1224                MATOP_SET_VALUES_BLOCKED=59,
1225                MATOP_GET_SUBMATRIX=60,
1226                MATOP_DESTROY=61,
1227                MATOP_VIEW=62,
1228                MATOP_GET_MAPS=63,
1229                MATOP_USE_SCALED_FORM=64,
1230                MATOP_SCALE_SYSTEM=65,
1231                MATOP_UNSCALE_SYSTEM=66,
1232                MATOP_SET_LOCAL_TO_GLOBAL_MAP=67,
1233                MATOP_SET_VALUES_LOCAL=68,
1234                MATOP_ZERO_ROWS_LOCAL=69,
1235                MATOP_GET_ROW_MAX=70,
1236                MATOP_CONVERT=71,
1237                MATOP_SET_COLORING=72,
1238                MATOP_SET_VALUES_ADIC=73,
1239                MATOP_SET_VALUES_ADIFOR=74,
1240                MATOP_FD_COLORING_APPLY=75,
1241                MATOP_SET_FROM_OPTIONS=76,
1242                MATOP_MULT_CON=77,
1243                MATOP_MULT_TRANSPOSE_CON=78,
1244                MATOP_ILU_FACTOR_SYMBOLIC_CON=79,
1245                MATOP_PERMUTE_SPARSIFY=80,
1246                MATOP_MULT_MULTIPLE=81,
1247                MATOP_SOLVE_MULTIPLE=82,
1248                MATOP_GET_INERTIA=83,
1249                MATOP_LOAD=84,
1250                MATOP_IS_SYMMETRIC=85,
1251                MATOP_IS_HERMITIAN=86,
1252                MATOP_IS_STRUCTURALLY_SYMMETRIC=87,
1253                MATOP_PB_RELAX=88,
1254                MATOP_GET_VECS=89,
1255                MATOP_MAT_MULT=90,
1256                MATOP_MAT_MULT_SYMBOLIC=91,
1257                MATOP_MAT_MULT_NUMERIC=92,
1258                MATOP_PTAP=93,
1259                MATOP_PTAP_SYMBOLIC=94,
1260                MATOP_PTAP_NUMERIC=95,
1261                MATOP_MAT_MULTTRANSPOSE=96,
1262                MATOP_MAT_MULTTRANSPOSE_SYMBOLIC=97,
1263                MATOP_MAT_MULTTRANSPOSE_NUMERIC=98,
1264                MATOP_PTAP_SYMBOLIC_SEQAIJ=99,
1265                MATOP_PTAP_NUMERIC_SEQAIJ=100,
1266                MATOP_PTAP_SYMBOLIC_MPIAIJ=101,
1267                MATOP_PTAP_NUMERIC_MPIAIJ=102
1268              } MatOperation;
1269 EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscTruth*);
1270 EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1271 EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1272 EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1273 
1274 /*
1275    Codes for matrices stored on disk. By default they are
1276  stored in a universal format. By changing the format with
1277  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
1278  be stored in a way natural for the matrix, for example dense matrices
1279  would be stored as dense. Matrices stored this way may only be
1280  read into matrices of the same time.
1281 */
1282 #define MATRIX_BINARY_FORMAT_DENSE -1
1283 
1284 EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1285 EXTERN PetscErrorCode MatMPIRowbsGetColor(Mat,ISColoring *);
1286 
1287 EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1288 
1289 /*S
1290      MatNullSpace - Object that removes a null space from a vector, i.e.
1291          orthogonalizes the vector to a subsapce
1292 
1293    Level: advanced
1294 
1295   Concepts: matrix; linear operator, null space
1296 
1297   Users manual sections:
1298 .   sec_singular
1299 
1300 .seealso:  MatNullSpaceCreate()
1301 S*/
1302 typedef struct _p_MatNullSpace* MatNullSpace;
1303 
1304 EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscTruth,PetscInt,const Vec[],MatNullSpace*);
1305 EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace);
1306 EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1307 EXTERN PetscErrorCode MatNullSpaceAttach(Mat,MatNullSpace);
1308 EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat);
1309 
1310 EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1311 EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1312 EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1313 
1314 
1315 EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1316 EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1317 EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1318 
1319 EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1320 
1321 EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1322 
1323 EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1324 EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1325 
1326 PETSC_EXTERN_CXX_END
1327 #endif
1328