xref: /petsc/include/petscmat.h (revision d3d3201969bfb173a03363e1420c4b2880581fed)
1 /* $Id: petscmat.h,v 1.228 2001/09/07 20:09:08 bsmith Exp $ */
2 /*
3      Include file for the matrix component of PETSc
4 */
5 #ifndef __PETSCMAT_H
6 #define __PETSCMAT_H
7 #include "petscvec.h"
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 MATIS       "is"
33 #define MATMPIROWBS "mpirowbs"
34 #define MATSEQDENSE "seqdense"
35 #define MATSEQAIJ   "seqaij"
36 #define MATMPIAIJ   "mpiaij"
37 #define MATSHELL    "shell"
38 #define MATSEQBDIAG "seqbdiag"
39 #define MATMPIBDIAG "mpibdiag"
40 #define MATMPIDENSE "mpidense"
41 #define MATSEQBAIJ  "seqbaij"
42 #define MATMPIBAIJ  "mpibaij"
43 #define MATMPIADJ   "mpiadj"
44 #define MATSEQSBAIJ "seqsbaij"
45 #define MATMPISBAIJ "mpisbaij"
46 #define MATDAAD     "daad"
47 #define MATMFFD     "mffd"
48 #define MATESI      "esi"
49 #define MATPETSCESI "petscesi"
50 #define MATNORMAL   "normal"
51 typedef char* MatType;
52 
53 #define MAT_SER_SEQAIJ_BINARY "seqaij_binary"
54 #define MAT_SER_MPIAIJ_BINARY "mpiaij_binary"
55 typedef char *MatSerializeType;
56 
57 /* Logging support */
58 #define    MAT_FILE_COOKIE 1211216    /* used to indicate matrices in binary files */
59 extern int MAT_COOKIE;
60 extern int MATSNESMFCTX_COOKIE;
61 extern int MAT_FDCOLORING_COOKIE;
62 extern int MAT_PARTITIONING_COOKIE;
63 extern int MAT_NULLSPACE_COOKIE;
64 extern int MAT_Mult, MAT_MultMatrixFree, MAT_MultMultiple, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
65 extern int MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_SolveMultiple, MAT_SolveAdd, MAT_SolveTranspose;
66 extern int MAT_SolveTransposeAdd, MAT_Relax, MAT_ForwardSolve, MAT_BackwardSolve, MAT_LUFactor, MAT_LUFactorSymbolic;
67 extern int MAT_LUFactorNumeric, MAT_CholeskyFactor, MAT_CholeskyFactorSymbolic, MAT_CholeskyFactorNumeric, MAT_ILUFactor;
68 extern int MAT_ILUFactorSymbolic, MAT_ICCFactorSymbolic, MAT_Copy, MAT_Convert, MAT_Scale, MAT_AssemblyBegin;
69 extern int MAT_AssemblyEnd, MAT_SetValues, MAT_GetValues, MAT_GetRow, MAT_GetSubMatrices, MAT_GetColoring, MAT_GetOrdering;
70 extern int MAT_IncreaseOverlap, MAT_Partitioning, MAT_ZeroEntries, MAT_Load, MAT_View, MAT_AXPY, MAT_FDColoringCreate;
71 extern int MAT_FDColoringApply, MAT_Transpose;
72 
73 EXTERN int MatInitializePackage(char *);
74 
75 EXTERN int MatCreate(MPI_Comm,int,int,int,int,Mat*);
76 EXTERN int MatSetType(Mat,MatType);
77 EXTERN int MatSetFromOptions(Mat);
78 EXTERN int MatSetUpPreallocation(Mat);
79 EXTERN int MatRegisterAll(char*);
80 EXTERN int MatRegister(char*,char*,char*,int(*)(Mat));
81 EXTERN int MatSerializeRegister(const char [], const char [], const char [], int (*)(MPI_Comm, Mat *, PetscViewer, PetscTruth));
82 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
83 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
84 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,0)
85 #else
86 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
87 #define MatSerializeRegisterDynamic(a,b,c,d) MatSerializeRegister(a,b,c,d)
88 #endif
89 extern PetscTruth MatRegisterAllCalled;
90 extern PetscFList MatList;
91 
92 EXTERN PetscFList MatSerializeList;
93 EXTERN int MatSerializeRegisterAll(const char []);
94 EXTERN int MatSerializeRegisterDestroy(void);
95 EXTERN int MatSerializeRegisterAllCalled;
96 EXTERN int MatSerialize(MPI_Comm, Mat *, PetscViewer, PetscTruth);
97 EXTERN int MatSetSerializeType(Mat, MatSerializeType);
98 
99 EXTERN int MatCreateSeqDense(MPI_Comm,int,int,PetscScalar*,Mat*);
100 EXTERN int MatCreateMPIDense(MPI_Comm,int,int,int,int,PetscScalar*,Mat*);
101 EXTERN int MatCreateSeqAIJ(MPI_Comm,int,int,int,int*,Mat*);
102 EXTERN int MatCreateMPIAIJ(MPI_Comm,int,int,int,int,int,int*,int,int*,Mat*);
103 EXTERN int MatCreateMPIRowbs(MPI_Comm,int,int,int,int*,Mat*);
104 EXTERN int MatCreateSeqBDiag(MPI_Comm,int,int,int,int,int*,PetscScalar**,Mat*);
105 EXTERN int MatCreateMPIBDiag(MPI_Comm,int,int,int,int,int,int*,PetscScalar**,Mat*);
106 EXTERN int MatCreateSeqBAIJ(MPI_Comm,int,int,int,int,int*,Mat*);
107 EXTERN int MatCreateMPIBAIJ(MPI_Comm,int,int,int,int,int,int,int*,int,int*,Mat*);
108 EXTERN int MatCreateMPIAdj(MPI_Comm,int,int,int*,int*,int *,Mat*);
109 EXTERN int MatCreateSeqSBAIJ(MPI_Comm,int,int,int,int,int*,Mat*);
110 EXTERN int MatCreateMPISBAIJ(MPI_Comm,int,int,int,int,int,int,int*,int,int*,Mat*);
111 EXTERN int MatCreateShell(MPI_Comm,int,int,int,int,void *,Mat*);
112 EXTERN int MatCreateAdic(MPI_Comm,int,int,int,int,int,void (*)(void),Mat*);
113 EXTERN int MatCreateNormal(Mat,Mat*);
114 EXTERN int MatDestroy(Mat);
115 
116 EXTERN int MatPrintHelp(Mat);
117 EXTERN int MatGetPetscMaps(Mat,PetscMap*,PetscMap*);
118 
119 /* ------------------------------------------------------------*/
120 EXTERN int MatSetValues(Mat,int,int*,int,int*,PetscScalar*,InsertMode);
121 EXTERN int MatSetValuesBlocked(Mat,int,int*,int,int*,PetscScalar*,InsertMode);
122 
123 /*S
124      MatStencil - Data structure (C struct) for storing information about a single row or
125         column of a matrix as index on an associated grid.
126 
127    Level: beginner
128 
129   Concepts: matrix; linear operator
130 
131 .seealso:  MatSetValuesStencil(), MatSetStencil()
132 S*/
133 typedef struct {
134   int k,j,i,c;
135 } MatStencil;
136 
137 EXTERN int MatSetValuesStencil(Mat,int,MatStencil*,int,MatStencil*,PetscScalar*,InsertMode);
138 EXTERN int MatSetValuesBlockedStencil(Mat,int,MatStencil*,int,MatStencil*,PetscScalar*,InsertMode);
139 EXTERN int MatSetStencil(Mat,int,int*,int*,int);
140 
141 EXTERN int MatSetColoring(Mat,ISColoring);
142 EXTERN int MatSetValuesAdic(Mat,void*);
143 EXTERN int MatSetValuesAdifor(Mat,int,void*);
144 
145 /*E
146     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
147      to continue to add values to it
148 
149     Level: beginner
150 
151 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
152 E*/
153 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
154 EXTERN int MatAssemblyBegin(Mat,MatAssemblyType);
155 EXTERN int MatAssemblyEnd(Mat,MatAssemblyType);
156 EXTERN int MatAssembled(Mat,PetscTruth*);
157 
158 #define MatSetValue(v,i,j,va,mode) \
159 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
160   _ierr = MatSetValues(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
161 }
162 #define MatGetValue(v,i,j,va) \
163 0; {int _ierr,_row = i,_col = j; \
164   _ierr = MatGetValues(v,1,&_row,1,&_col,&va);CHKERRQ(_ierr); \
165 }
166 #define MatSetValueLocal(v,i,j,va,mode) \
167 0; {int _ierr,_row = i,_col = j; PetscScalar _va = va; \
168   _ierr = MatSetValuesLocal(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
169 }
170 /*E
171     MatOption - Options that may be set for a matrix and its behavior or storage
172 
173     Level: beginner
174 
175    Any additions/changes here MUST also be made in include/finclude/petscmat.h
176 
177 .seealso: MatSetOption()
178 E*/
179 typedef enum {MAT_ROW_ORIENTED=1,MAT_COLUMN_ORIENTED=2,MAT_ROWS_SORTED=4,
180               MAT_COLUMNS_SORTED=8,MAT_NO_NEW_NONZERO_LOCATIONS=16,
181               MAT_YES_NEW_NONZERO_LOCATIONS=32,MAT_SYMMETRIC=64,
182               MAT_STRUCTURALLY_SYMMETRIC=65,MAT_NO_NEW_DIAGONALS=66,
183               MAT_YES_NEW_DIAGONALS=67,MAT_INODE_LIMIT_1=68,MAT_INODE_LIMIT_2=69,
184               MAT_INODE_LIMIT_3=70,MAT_INODE_LIMIT_4=71,MAT_INODE_LIMIT_5=72,
185               MAT_IGNORE_OFF_PROC_ENTRIES=73,MAT_ROWS_UNSORTED=74,
186               MAT_COLUMNS_UNSORTED=75,MAT_NEW_NONZERO_LOCATION_ERR=76,
187               MAT_NEW_NONZERO_ALLOCATION_ERR=77,MAT_USE_HASH_TABLE=78,
188               MAT_KEEP_ZEROED_ROWS=79,MAT_IGNORE_ZERO_ENTRIES=80,MAT_USE_INODES=81,
189               MAT_DO_NOT_USE_INODES=82,MAT_USE_SINGLE_PRECISION_SOLVES=83} MatOption;
190 EXTERN int MatSetOption(Mat,MatOption);
191 EXTERN int MatGetType(Mat,MatType*);
192 
193 EXTERN int MatGetValues(Mat,int,int*,int,int*,PetscScalar*);
194 EXTERN int MatGetRow(Mat,int,int *,int **,PetscScalar**);
195 EXTERN int MatRestoreRow(Mat,int,int *,int **,PetscScalar**);
196 EXTERN int MatGetColumn(Mat,int,int *,int **,PetscScalar**);
197 EXTERN int MatRestoreColumn(Mat,int,int *,int **,PetscScalar**);
198 EXTERN int MatGetColumnVector(Mat,Vec,int);
199 EXTERN int MatGetArray(Mat,PetscScalar **);
200 EXTERN int MatRestoreArray(Mat,PetscScalar **);
201 EXTERN int MatGetBlockSize(Mat,int *);
202 
203 EXTERN int MatMult(Mat,Vec,Vec);
204 EXTERN int MatMultAdd(Mat,Vec,Vec,Vec);
205 EXTERN int MatMultTranspose(Mat,Vec,Vec);
206 EXTERN int MatMultTransposeAdd(Mat,Vec,Vec,Vec);
207 EXTERN int MatMultConstrained(Mat,Vec,Vec);
208 EXTERN int MatMultTransposeConstrained(Mat,Vec,Vec);
209 
210 /*E
211     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
212   its numerical values copied over or just its nonzero structure.
213 
214     Level: beginner
215 
216    Any additions/changes here MUST also be made in include/finclude/petscmat.h
217 
218 .seealso: MatDuplicate()
219 E*/
220 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption;
221 
222 EXTERN int MatConvertRegister(char*,char*,char*,int (*)(Mat,MatType,Mat*));
223 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
224 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0)
225 #else
226 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d)
227 #endif
228 EXTERN int        MatConvertRegisterAll(char*);
229 EXTERN int        MatConvertRegisterDestroy(void);
230 extern PetscTruth MatConvertRegisterAllCalled;
231 extern PetscFList MatConvertList;
232 EXTERN int        MatConvert(Mat,MatType,Mat*);
233 EXTERN int        MatDuplicate(Mat,MatDuplicateOption,Mat*);
234 
235 /*E
236     MatStructure - Indicates if the matrix has the same nonzero structure
237 
238     Level: beginner
239 
240    Any additions/changes here MUST also be made in include/finclude/petscmat.h
241 
242 .seealso: MatCopy(), SLESSetOperators(), PCSetOperators()
243 E*/
244 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER} MatStructure;
245 
246 EXTERN int MatCopy(Mat,Mat,MatStructure);
247 EXTERN int MatView(Mat,PetscViewer);
248 
249 EXTERN int MatLoadRegister(char*,char*,char*,int (*)(PetscViewer,MatType,Mat*));
250 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
251 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,0)
252 #else
253 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,d)
254 #endif
255 EXTERN int        MatLoadRegisterAll(char*);
256 EXTERN int        MatLoadRegisterDestroy(void);
257 extern PetscTruth MatLoadRegisterAllCalled;
258 extern PetscFList MatLoadList;
259 EXTERN int        MatLoad(PetscViewer,MatType,Mat*);
260 EXTERN int        MatFileMerge(MPI_Comm,char*,char*);
261 
262 EXTERN int MatGetRowIJ(Mat,int,PetscTruth,int*,int **,int **,PetscTruth *);
263 EXTERN int MatRestoreRowIJ(Mat,int,PetscTruth,int *,int **,int **,PetscTruth *);
264 EXTERN int MatGetColumnIJ(Mat,int,PetscTruth,int*,int **,int **,PetscTruth *);
265 EXTERN int MatRestoreColumnIJ(Mat,int,PetscTruth,int *,int **,int **,PetscTruth *);
266 
267 /*S
268      MatInfo - Context of matrix information, used with MatGetInfo()
269 
270    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
271 
272    Level: intermediate
273 
274   Concepts: matrix^nonzero information
275 
276 .seealso:  MatGetInfo(), MatInfoType
277 S*/
278 typedef struct {
279   PetscLogDouble rows_global,columns_global;         /* number of global rows and columns */
280   PetscLogDouble rows_local,columns_local;           /* number of local rows and columns */
281   PetscLogDouble block_size;                         /* block size */
282   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
283   PetscLogDouble memory;                             /* memory allocated */
284   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
285   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
286   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
287   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
288 } MatInfo;
289 
290 /*E
291     MatInfoType - Indicates if you want information about the local part of the matrix,
292      the entire parallel matrix or the maximum over all the local parts.
293 
294     Level: beginner
295 
296    Any additions/changes here MUST also be made in include/finclude/petscmat.h
297 
298 .seealso: MatGetInfo(), MatInfo
299 E*/
300 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
301 EXTERN int MatGetInfo(Mat,MatInfoType,MatInfo*);
302 EXTERN int MatValid(Mat,PetscTruth*);
303 EXTERN int MatGetDiagonal(Mat,Vec);
304 EXTERN int MatGetRowMax(Mat,Vec);
305 EXTERN int MatTranspose(Mat,Mat*);
306 EXTERN int MatPermute(Mat,IS,IS,Mat *);
307 EXTERN int MatPermuteSparsify(Mat,int,PetscReal,PetscReal,IS,IS,Mat *);
308 EXTERN int MatDiagonalScale(Mat,Vec,Vec);
309 EXTERN int MatDiagonalSet(Mat,Vec,InsertMode);
310 EXTERN int MatEqual(Mat,Mat,PetscTruth*);
311 
312 EXTERN int MatNorm(Mat,NormType,PetscReal *);
313 EXTERN int MatZeroEntries(Mat);
314 EXTERN int MatZeroRows(Mat,IS,PetscScalar*);
315 EXTERN int MatZeroColumns(Mat,IS,PetscScalar*);
316 
317 EXTERN int MatUseScaledForm(Mat,PetscTruth);
318 EXTERN int MatScaleSystem(Mat,Vec,Vec);
319 EXTERN int MatUnScaleSystem(Mat,Vec,Vec);
320 
321 EXTERN int MatGetSize(Mat,int*,int*);
322 EXTERN int MatGetLocalSize(Mat,int*,int*);
323 EXTERN int MatGetOwnershipRange(Mat,int*,int*);
324 
325 /*E
326     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
327      or MatGetSubMatrix() are to be reused to store the new matrix values.
328 
329     Level: beginner
330 
331    Any additions/changes here MUST also be made in include/finclude/petscmat.h
332 
333 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices()
334 E*/
335 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse;
336 EXTERN int MatGetSubMatrices(Mat,int,IS *,IS *,MatReuse,Mat **);
337 EXTERN int MatDestroyMatrices(int,Mat **);
338 EXTERN int MatGetSubMatrix(Mat,IS,IS,int,MatReuse,Mat *);
339 
340 EXTERN int MatIncreaseOverlap(Mat,int,IS *,int);
341 
342 EXTERN int MatAXPY(PetscScalar *,Mat,Mat,MatStructure);
343 EXTERN int MatAYPX(PetscScalar *,Mat,Mat);
344 EXTERN int MatCompress(Mat);
345 
346 EXTERN int MatScale(PetscScalar *,Mat);
347 EXTERN int MatShift(PetscScalar *,Mat);
348 
349 EXTERN int MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
350 EXTERN int MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
351 EXTERN int MatZeroRowsLocal(Mat,IS,PetscScalar*);
352 EXTERN int MatSetValuesLocal(Mat,int,int*,int,int*,PetscScalar*,InsertMode);
353 EXTERN int MatSetValuesBlockedLocal(Mat,int,int*,int,int*,PetscScalar*,InsertMode);
354 
355 EXTERN int MatSetStashInitialSize(Mat,int,int);
356 
357 EXTERN int MatInterpolateAdd(Mat,Vec,Vec,Vec);
358 EXTERN int MatInterpolate(Mat,Vec,Vec);
359 EXTERN int MatRestrict(Mat,Vec,Vec);
360 
361 /*
362       These three (or four) macros MUST be used together. The third one closes the open { of the first one
363 */
364 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
365 { \
366   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
367   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
368   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
369   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
370   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
371 
372 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
373 {\
374   int __l;\
375   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
376   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
377   for (__l=0;__l<nrows;__l++) {\
378     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
379   }\
380 }
381 
382 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
383 {\
384   int __l;\
385   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
386   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
387   for (__l=0;__l<nrows;__l++) {\
388     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
389   }\
390 }
391 
392 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
393 { int __i; \
394   for (__i=0; __i<nc; __i++) {\
395     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
396   }\
397   dnz[row - __rstart] = nc - onz[row - __rstart];\
398 }
399 
400 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
401 { int __i; \
402   for (__i=0; __i<nc; __i++) {\
403     if (cols[__i] >= __end) onz[row - __rstart]++; \
404     else if (cols[__i] >= row) dnz[row - __rstart]++;\
405   }\
406 }
407 
408 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);}
409 
410 /* Routines unique to particular data structures */
411 EXTERN int MatShellGetContext(Mat,void **);
412 
413 EXTERN int MatBDiagGetData(Mat,int*,int*,int**,int**,PetscScalar***);
414 EXTERN int MatSeqAIJSetColumnIndices(Mat,int *);
415 EXTERN int MatSeqBAIJSetColumnIndices(Mat,int *);
416 EXTERN int MatCreateSeqAIJWithArrays(MPI_Comm,int,int,int*,int*,PetscScalar *,Mat*);
417 
418 EXTERN int MatSeqBAIJSetPreallocation(Mat,int,int,int*);
419 EXTERN int MatSeqSBAIJSetPreallocation(Mat,int,int,int*);
420 EXTERN int MatSeqAIJSetPreallocation(Mat,int,int*);
421 EXTERN int MatSeqDensePreallocation(Mat,PetscScalar*);
422 EXTERN int MatSeqBDiagSetPreallocation(Mat,int,int,int*,PetscScalar**);
423 EXTERN int MatSeqDenseSetPreallocation(Mat,PetscScalar*);
424 
425 EXTERN int MatMPIBAIJSetPreallocation(Mat,int,int,int*,int,int*);
426 EXTERN int MatMPISBAIJSetPreallocation(Mat,int,int,int*,int,int*);
427 EXTERN int MatMPIAIJSetPreallocation(Mat,int,int*,int,int*);
428 EXTERN int MatMPIDensePreallocation(Mat,PetscScalar*);
429 EXTERN int MatMPIBDiagSetPreallocation(Mat,int,int,int*,PetscScalar**);
430 EXTERN int MatMPIAdjSetPreallocation(Mat,int*,int*,int*);
431 EXTERN int MatMPIDenseSetPreallocation(Mat,PetscScalar*);
432 EXTERN int MatMPIRowbsSetPreallocation(Mat,int,int*);
433 EXTERN int MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,int**);
434 EXTERN int MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,int**);
435 EXTERN int MatAdicSetLocalFunction(Mat,void (*)(void));
436 
437 EXTERN int MatStoreValues(Mat);
438 EXTERN int MatRetrieveValues(Mat);
439 
440 EXTERN int MatDAADSetCtx(Mat,void*);
441 
442 /*
443   These routines are not usually accessed directly, rather solving is
444   done through the SLES, KSP and PC interfaces.
445 */
446 
447 /*E
448     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
449        with an optional dynamic library name, for example
450        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
451 
452    Level: beginner
453 
454 .seealso: MatGetOrdering()
455 E*/
456 typedef char* MatOrderingType;
457 #define MATORDERING_NATURAL   "natural"
458 #define MATORDERING_ND        "nd"
459 #define MATORDERING_1WD       "1wd"
460 #define MATORDERING_RCM       "rcm"
461 #define MATORDERING_QMD       "qmd"
462 #define MATORDERING_ROWLENGTH "rowlength"
463 #define MATORDERING_DSC_ND    "dsc_nd"
464 #define MATORDERING_DSC_MMD   "dsc_mmd"
465 #define MATORDERING_DSC_MDF   "dsc_mdf"
466 #define MATORDERING_CONSTRAINED "constrained"
467 #define MATORDERING_IDENTITY  "identity"
468 #define MATORDERING_REVERSE   "reverse"
469 
470 EXTERN int MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
471 EXTERN int MatOrderingRegister(char*,char*,char*,int(*)(Mat,MatOrderingType,IS*,IS*));
472 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
473 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
474 #else
475 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
476 #endif
477 EXTERN int        MatOrderingRegisterDestroy(void);
478 EXTERN int        MatOrderingRegisterAll(char*);
479 extern PetscTruth MatOrderingRegisterAllCalled;
480 extern PetscFList      MatOrderingList;
481 
482 EXTERN int MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
483 
484 EXTERN int MatCholeskyFactor(Mat,IS,PetscReal);
485 EXTERN int MatCholeskyFactorSymbolic(Mat,IS,PetscReal,Mat*);
486 EXTERN int MatCholeskyFactorNumeric(Mat,Mat*);
487 
488 /*S
489    MatILUInfo - Data based into the matrix ILU factorization routines
490 
491    In Fortran these are simply double precision arrays of size MAT_ILUINFO_SIZE
492 
493    Notes: These are not usually directly used by users, instead use the PC type of ILU
494           All entries are double precision.
495 
496    Level: developer
497 
498 .seealso: MatILUFactorSymbolic(), MatILUFactor(), MatLUInfo, MatCholeskyInfo
499 
500 S*/
501 typedef struct {
502   PetscReal     levels;         /* ILU(levels) */
503   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
504   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
505   PetscReal     dt;             /* drop tolerance */
506   PetscReal     dtcol;          /* tolerance for pivoting */
507   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
508   PetscReal     damping;        /* scaling of identity added to matrix to prevent zero pivots */
509   PetscReal     damp;           /* if is 1.0 and factorization fails, damp until successful */
510   PetscReal     zeropivot; /* pivot is called zero if less than this */
511   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
512                                    factorization may be faster if do not pivot */
513 } MatILUInfo;
514 
515 /*S
516    MatLUInfo - Data based into the matrix LU factorization routines
517 
518    In Fortran these are simply double precision arrays of size MAT_LUINFO_SIZE
519 
520    Notes: These are not usually directly used by users, instead use the PC type of LU
521           All entries are double precision.
522 
523    Level: developer
524 
525 .seealso: MatLUFactorSymbolic(), MatILUInfo, MatCholeskyInfo
526 
527 S*/
528 typedef struct {
529   PetscReal     fill;    /* expected fill; nonzeros in factored matrix/nonzeros in original matrix */
530   PetscReal     dtcol;   /* tolerance for pivoting; pivot if off_diagonal*dtcol > diagonal */
531   PetscReal     damping; /* scaling of identity added to matrix to prevent zero pivots */
532   PetscReal     zeropivot; /* pivot is called zero if less than this */
533   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
534                                    factorization may be faster if do not pivot */
535 } MatLUInfo;
536 
537 /*S
538    MatCholeskyInfo - Data based into the matrix Cholesky factorization routines
539 
540    In Fortran these are simply double precision arrays of size MAT_CHOLESKYINFO_SIZE
541 
542    Notes: These are not usually directly used by users, instead use the PC type of Cholesky
543           All entries are double precision.
544 
545    Level: developer
546 
547 .seealso: MatCholeskyFactorSymbolic(), MatLUInfo, MatILUInfo
548 
549 S*/
550 typedef struct {
551   PetscReal     fill;    /* expected fill; nonzeros in factored matrix/nonzeros in original matrix */
552   PetscReal     damping; /* scaling of identity added to matrix to prevent zero pivots */
553   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
554                                    factorization may be faster if do not pivot */
555 } MatCholeskyInfo;
556 
557 EXTERN int MatLUFactor(Mat,IS,IS,MatLUInfo*);
558 EXTERN int MatILUFactor(Mat,IS,IS,MatILUInfo*);
559 EXTERN int MatLUFactorSymbolic(Mat,IS,IS,MatLUInfo*,Mat*);
560 EXTERN int MatILUFactorSymbolic(Mat,IS,IS,MatILUInfo*,Mat*);
561 EXTERN int MatICCFactorSymbolic(Mat,IS,PetscReal,int,Mat*);
562 EXTERN int MatICCFactor(Mat,IS,PetscReal,int);
563 EXTERN int MatLUFactorNumeric(Mat,Mat*);
564 EXTERN int MatILUDTFactor(Mat,MatILUInfo*,IS,IS,Mat *);
565 
566 EXTERN int MatSolve(Mat,Vec,Vec);
567 EXTERN int MatForwardSolve(Mat,Vec,Vec);
568 EXTERN int MatBackwardSolve(Mat,Vec,Vec);
569 EXTERN int MatSolveAdd(Mat,Vec,Vec,Vec);
570 EXTERN int MatSolveTranspose(Mat,Vec,Vec);
571 EXTERN int MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
572 
573 EXTERN int MatSetUnfactored(Mat);
574 
575 /*  MatSORType may be bitwise ORd together, so do not change the numbers */
576 /*E
577     MatSORType - What type of (S)SOR to perform
578 
579     Level: beginner
580 
581    May be bitwise ORd together
582 
583    Any additions/changes here MUST also be made in include/finclude/petscmat.h
584 
585 .seealso: MatRelax()
586 E*/
587 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
588               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
589               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
590               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
591 EXTERN int MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,int,int,Vec);
592 
593 /*
594     These routines are for efficiently computing Jacobians via finite differences.
595 */
596 
597 /*E
598     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
599        with an optional dynamic library name, for example
600        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
601 
602    Level: beginner
603 
604 .seealso: MatGetColoring()
605 E*/
606 typedef char* MatColoringType;
607 #define MATCOLORING_NATURAL "natural"
608 #define MATCOLORING_SL      "sl"
609 #define MATCOLORING_LF      "lf"
610 #define MATCOLORING_ID      "id"
611 
612 EXTERN int MatGetColoring(Mat,MatColoringType,ISColoring*);
613 EXTERN int MatColoringRegister(char*,char*,char*,int(*)(Mat,MatColoringType,ISColoring *));
614 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
615 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
616 #else
617 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
618 #endif
619 EXTERN int        MatColoringRegisterAll(char *);
620 extern PetscTruth MatColoringRegisterAllCalled;
621 EXTERN int        MatColoringRegisterDestroy(void);
622 EXTERN int        MatColoringPatch(Mat,int,int,int *,ISColoring*);
623 
624 /*S
625      MatFDColoring - Object for computing a sparse Jacobian via finite differences
626         and coloring
627 
628    Level: beginner
629 
630   Concepts: coloring, sparse Jacobian, finite differences
631 
632 .seealso:  MatFDColoringCreate()
633 S*/
634 typedef struct _p_MatFDColoring *MatFDColoring;
635 
636 EXTERN int MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
637 EXTERN int MatFDColoringDestroy(MatFDColoring);
638 EXTERN int MatFDColoringView(MatFDColoring,PetscViewer);
639 EXTERN int MatFDColoringSetFunction(MatFDColoring,int (*)(void),void*);
640 EXTERN int MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
641 EXTERN int MatFDColoringSetFrequency(MatFDColoring,int);
642 EXTERN int MatFDColoringGetFrequency(MatFDColoring,int*);
643 EXTERN int MatFDColoringSetFromOptions(MatFDColoring);
644 EXTERN int MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
645 EXTERN int MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
646 EXTERN int MatFDColoringSetRecompute(MatFDColoring);
647 EXTERN int MatFDColoringSetF(MatFDColoring,Vec);
648 EXTERN int MatFDColoringGetPerturbedColumns(MatFDColoring,int*,int**);
649 /*
650     These routines are for partitioning matrices: currently used only
651   for adjacency matrix, MatCreateMPIAdj().
652 */
653 
654 /*S
655      MatPartitioning - Object for managing the partitioning of a matrix or graph
656 
657    Level: beginner
658 
659   Concepts: partitioning
660 
661 .seealso:  MatParitioningCreate(), MatPartitioningType
662 S*/
663 typedef struct _p_MatPartitioning *MatPartitioning;
664 
665 /*E
666     MatPartitioningType - String with the name of a PETSc matrix partitioing or the creation function
667        with an optional dynamic library name, for example
668        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
669 
670    Level: beginner
671 
672 .seealso: MatPartitioingCreate(), MatPartitioning
673 E*/
674 typedef char* MatPartitioningType;
675 #define MAT_PARTITIONING_CURRENT  "current"
676 #define MAT_PARTITIONING_PARMETIS "parmetis"
677 
678 EXTERN int MatPartitioningCreate(MPI_Comm,MatPartitioning*);
679 EXTERN int MatPartitioningSetType(MatPartitioning,MatPartitioningType);
680 EXTERN int MatPartitioningSetAdjacency(MatPartitioning,Mat);
681 EXTERN int MatPartitioningSetVertexWeights(MatPartitioning,int*);
682 EXTERN int MatPartitioningApply(MatPartitioning,IS*);
683 EXTERN int MatPartitioningDestroy(MatPartitioning);
684 
685 EXTERN int MatPartitioningRegister(char*,char*,char*,int(*)(MatPartitioning));
686 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
687 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
688 #else
689 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
690 #endif
691 
692 EXTERN int        MatPartitioningRegisterAll(char *);
693 extern PetscTruth MatPartitioningRegisterAllCalled;
694 EXTERN int        MatPartitioningRegisterDestroy(void);
695 
696 EXTERN int MatPartitioningView(MatPartitioning,PetscViewer);
697 EXTERN int MatPartitioningSetFromOptions(MatPartitioning);
698 EXTERN int MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
699 
700 EXTERN int MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
701 
702 /*
703     If you add entries here you must also add them to finclude/petscmat.h
704 */
705 typedef enum { MATOP_SET_VALUES=0,
706                MATOP_GET_ROW=1,
707                MATOP_RESTORE_ROW=2,
708                MATOP_MULT=3,
709                MATOP_MULT_ADD=4,
710                MATOP_MULT_TRANSPOSE=5,
711                MATOP_MULT_TRANSPOSE_ADD=6,
712                MATOP_SOLVE=7,
713                MATOP_SOLVE_ADD=8,
714                MATOP_SOLVE_TRANSPOSE=9,
715                MATOP_SOLVE_TRANSPOSE_ADD=10,
716                MATOP_LUFACTOR=11,
717                MATOP_CHOLESKYFACTOR=12,
718                MATOP_RELAX=13,
719                MATOP_TRANSPOSE=14,
720                MATOP_GETINFO=15,
721                MATOP_EQUAL=16,
722                MATOP_GET_DIAGONAL=17,
723                MATOP_DIAGONAL_SCALE=18,
724                MATOP_NORM=19,
725                MATOP_ASSEMBLY_BEGIN=20,
726                MATOP_ASSEMBLY_END=21,
727                MATOP_COMPRESS=22,
728                MATOP_SET_OPTION=23,
729                MATOP_ZERO_ENTRIES=24,
730                MATOP_ZERO_ROWS=25,
731                MATOP_LUFACTOR_SYMBOLIC=26,
732                MATOP_LUFACTOR_NUMERIC=27,
733                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
734                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
735                MATOP_SETUP_PREALLOCATION=30,
736                MATOP_ILUFACTOR_SYMBOLIC=31,
737                MATOP_ICCFACTOR_SYMBOLIC=32,
738                MATOP_GET_ARRAY=33,
739                MATOP_RESTORE_ARRAY=34,
740                MATOP_DUPLCIATE=35,
741                MATOP_FORWARD_SOLVE=36,
742                MATOP_BACKWARD_SOLVE=37,
743                MATOP_ILUFACTOR=38,
744                MATOP_ICCFACTOR=39,
745                MATOP_AXPY=40,
746                MATOP_GET_SUBMATRICES=41,
747                MATOP_INCREASE_OVERLAP=42,
748                MATOP_GET_VALUES=43,
749                MATOP_COPY=44,
750                MATOP_PRINT_HELP=45,
751                MATOP_SCALE=46,
752                MATOP_SHIFT=47,
753                MATOP_DIAGONAL_SHIFT=48,
754                MATOP_ILUDT_FACTOR=49,
755                MATOP_GET_BLOCK_SIZE=50,
756                MATOP_GET_ROW_IJ=51,
757                MATOP_RESTORE_ROW_IJ=52,
758                MATOP_GET_COLUMN_IJ=53,
759                MATOP_RESTORE_COLUMN_IJ=54,
760                MATOP_FDCOLORING_CREATE=55,
761                MATOP_COLORING_PATCH=56,
762                MATOP_SET_UNFACTORED=57,
763                MATOP_PERMUTE=58,
764                MATOP_SET_VALUES_BLOCKED=59,
765                MATOP_GET_SUBMATRIX=60,
766                MATOP_DESTROY=61,
767                MATOP_VIEW=62,
768                MATOP_GET_MAPS=63,
769                MATOP_USE_SCALED_FORM=64,
770                MATOP_SCALE_SYSTEM=65,
771                MATOP_UNSCALE_SYSTEM=66,
772                MATOP_SET_LOCAL_TO_GLOBAL_MAPPING=67,
773                MATOP_SET_VALUES_LOCAL=68,
774                MATOP_ZERO_ROWS_LOCAL=69,
775                MATOP_GET_ROW_MAX=70,
776                MATOP_CONVERT=71,
777                MATOP_SET_COLORING=72,
778                MATOP_SET_VALUES_ADIC=73,
779                MATOP_SET_VALUES_ADIFOR=74,
780                MATOP_FD_COLORING_APPLY=75,
781                MATOP_SET_FROM_OPTIONS=76,
782                MATOP_MULT_CONSTRAINED=77,
783                MATOP_MULT_TRANSPOSE_CONSTRAINED=78,
784                MATOP_ILU_FACTOR_SYMBOLIC_CONSTRAINED=79,
785                MATOP_PERMUTE_SPARSIFY=80,
786                MATOP_MULT_MULTIPLE=81,
787                MATOP_SOLVE_MULTIPLE=82
788              } MatOperation;
789 EXTERN int MatHasOperation(Mat,MatOperation,PetscTruth*);
790 EXTERN int MatShellSetOperation(Mat,MatOperation,void(*)(void));
791 EXTERN int MatShellGetOperation(Mat,MatOperation,void(**)(void));
792 EXTERN int MatShellSetContext(Mat,void*);
793 
794 /*
795    Codes for matrices stored on disk. By default they are
796  stored in a universal format. By changing the format with
797  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
798  be stored in a way natural for the matrix, for example dense matrices
799  would be stored as dense. Matrices stored this way may only be
800  read into matrices of the same time.
801 */
802 #define MATRIX_BINARY_FORMAT_DENSE -1
803 
804 /*
805      New matrix classes not yet distributed
806 */
807 /*
808     MatAIJIndices is a data structure for storing the nonzero location information
809   for sparse matrices. Several matrices with identical nonzero structure can share
810   the same MatAIJIndices.
811 */
812 typedef struct _p_MatAIJIndices* MatAIJIndices;
813 
814 EXTERN int MatCreateAIJIndices(int,int,int*,int*,PetscTruth,MatAIJIndices*);
815 EXTERN int MatCreateAIJIndicesEmpty(int,int,int*,PetscTruth,MatAIJIndices*);
816 EXTERN int MatAttachAIJIndices(MatAIJIndices,MatAIJIndices*);
817 EXTERN int MatDestroyAIJIndices(MatAIJIndices);
818 EXTERN int MatCopyAIJIndices(MatAIJIndices,MatAIJIndices*);
819 EXTERN int MatValidateAIJIndices(int,MatAIJIndices);
820 EXTERN int MatShiftAIJIndices(MatAIJIndices);
821 EXTERN int MatShrinkAIJIndices(MatAIJIndices);
822 EXTERN int MatTransposeAIJIndices(MatAIJIndices,MatAIJIndices*);
823 
824 EXTERN int MatCreateSeqCSN(MPI_Comm,int,int,int*,int,Mat*);
825 EXTERN int MatCreateSeqCSN_Single(MPI_Comm,int,int,int*,int,Mat*);
826 EXTERN int MatCreateSeqCSNWithPrecision(MPI_Comm,int,int,int*,int,PetscScalarPrecision,Mat*);
827 
828 EXTERN int MatCreateSeqCSNIndices(MPI_Comm,MatAIJIndices,int,Mat *);
829 EXTERN int MatCreateSeqCSNIndices_Single(MPI_Comm,MatAIJIndices,int,Mat *);
830 EXTERN int MatCreateSeqCSNIndicesWithPrecision(MPI_Comm,MatAIJIndices,int,PetscScalarPrecision,Mat *);
831 
832 EXTERN int MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
833 EXTERN int MatSeqAIJGetInodeSizes(Mat,int *,int *[],int *);
834 EXTERN int MatMPIRowbsGetColor(Mat,ISColoring *);
835 
836 /*S
837      MatNullSpace - Object that removes a null space from a vector, i.e.
838          orthogonalizes the vector to a subsapce
839 
840    Level: beginner
841 
842   Concepts: matrix; linear operator, null space
843 
844   Users manual sections:
845 .   sec_singular
846 
847 .seealso:  MatNullSpaceCreate()
848 S*/
849 typedef struct _p_MatNullSpace* MatNullSpace;
850 
851 EXTERN int MatNullSpaceCreate(MPI_Comm,int,int,Vec *,MatNullSpace*);
852 EXTERN int MatNullSpaceDestroy(MatNullSpace);
853 EXTERN int MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
854 EXTERN int MatNullSpaceAttach(Mat,MatNullSpace);
855 EXTERN int MatNullSpaceTest(MatNullSpace,Mat);
856 
857 EXTERN int MatReorderingSeqSBAIJ(Mat A,IS isp);
858 EXTERN int MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
859 EXTERN int MatSeqSBAIJSetColumnIndices(Mat,int *);
860 
861 
862 EXTERN int MatCreateMAIJ(Mat,int,Mat*);
863 EXTERN int MatMAIJRedimension(Mat,int,Mat*);
864 EXTERN int MatMAIJGetAIJ(Mat,Mat*);
865 
866 EXTERN int MatMPIAdjSetValues(Mat,int*,int*,int*);
867 
868 EXTERN int MatComputeExplicitOperator(Mat,Mat*);
869 
870 EXTERN int MatESISetType(Mat,char*);
871 EXTERN int MatESISetFromOptions(Mat);
872 
873 EXTERN int MatDiagonalScaleLocal(Mat,Vec);
874 
875 EXTERN int PetscViewerMathematicaPutMatrix(PetscViewer, int, int, PetscReal *);
876 EXTERN int PetscViewerMathematicaPutCSRMatrix(PetscViewer, int, int, int *, int *, PetscReal *);
877 
878 EXTERN int MatUseSuperLU_DIST_MPIAIJ(Mat);
879 EXTERN int MatUseSpooles_SeqAIJ(Mat);
880 EXTERN int MatUseUMFPACK_SeqAIJ(Mat);
881 EXTERN int MatUseSuperLU_SeqAIJ(Mat);
882 EXTERN int MatUseEssl_SeqAIJ(Mat);
883 EXTERN int MatUseLUSOL_SeqAIJ(Mat);
884 EXTERN int MatUseMatlab_SeqAIJ(Mat);
885 EXTERN int MatUseDXML_SeqAIJ(Mat);
886 EXTERN int MatUseSuperLU_DIST_MPIAIJ(Mat);
887 EXTERN int MatUseSpooles_MPIAIJ(Mat);
888 EXTERN int MatUseSpooles_SeqSBAIJ(Mat);
889 extern int MatUseSpooles_MPISBAIJ(Mat);
890 
891 #endif
892 
893 
894 
895