xref: /petsc/include/petscmat.h (revision b189386232a1004049c31fcd080b472f8d6830ee)
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_Mults, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
65 extern int MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_Solves, 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, MAT_FDColoringFunction;
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} 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        MatMerge(MPI_Comm,Mat,Mat*);
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 MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
373 { \
374   int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__end; \
375   _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
376   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\
377   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
378   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
379 
380 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
381 {\
382   int __l;\
383   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
384   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
385   for (__l=0;__l<nrows;__l++) {\
386     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
387   }\
388 }
389 
390 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
391 {\
392   int __l;\
393   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
394   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
395   for (__l=0;__l<nrows;__l++) {\
396     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
397   }\
398 }
399 
400 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
401 { int __i; \
402   for (__i=0; __i<nc; __i++) {\
403     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
404   }\
405   dnz[row - __rstart] = nc - onz[row - __rstart];\
406 }
407 
408 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
409 { int __i; \
410   for (__i=0; __i<nc; __i++) {\
411     if (cols[__i] >= __end) onz[row - __rstart]++; \
412     else if (cols[__i] >= row) dnz[row - __rstart]++;\
413   }\
414 }
415 
416 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);}
417 
418 /* Routines unique to particular data structures */
419 EXTERN int MatShellGetContext(Mat,void **);
420 
421 EXTERN int MatBDiagGetData(Mat,int*,int*,int**,int**,PetscScalar***);
422 EXTERN int MatSeqAIJSetColumnIndices(Mat,int *);
423 EXTERN int MatSeqBAIJSetColumnIndices(Mat,int *);
424 EXTERN int MatCreateSeqAIJWithArrays(MPI_Comm,int,int,int*,int*,PetscScalar *,Mat*);
425 
426 EXTERN int MatSeqBAIJSetPreallocation(Mat,int,int,int*);
427 EXTERN int MatSeqSBAIJSetPreallocation(Mat,int,int,int*);
428 EXTERN int MatSeqAIJSetPreallocation(Mat,int,int*);
429 EXTERN int MatSeqDensePreallocation(Mat,PetscScalar*);
430 EXTERN int MatSeqBDiagSetPreallocation(Mat,int,int,int*,PetscScalar**);
431 EXTERN int MatSeqDenseSetPreallocation(Mat,PetscScalar*);
432 
433 EXTERN int MatMPIBAIJSetPreallocation(Mat,int,int,int*,int,int*);
434 EXTERN int MatMPISBAIJSetPreallocation(Mat,int,int,int*,int,int*);
435 EXTERN int MatMPIAIJSetPreallocation(Mat,int,int*,int,int*);
436 EXTERN int MatMPIDensePreallocation(Mat,PetscScalar*);
437 EXTERN int MatMPIBDiagSetPreallocation(Mat,int,int,int*,PetscScalar**);
438 EXTERN int MatMPIAdjSetPreallocation(Mat,int*,int*,int*);
439 EXTERN int MatMPIDenseSetPreallocation(Mat,PetscScalar*);
440 EXTERN int MatMPIRowbsSetPreallocation(Mat,int,int*);
441 EXTERN int MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,int**);
442 EXTERN int MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,int**);
443 EXTERN int MatAdicSetLocalFunction(Mat,void (*)(void));
444 
445 EXTERN int MatStoreValues(Mat);
446 EXTERN int MatRetrieveValues(Mat);
447 
448 EXTERN int MatDAADSetCtx(Mat,void*);
449 
450 /*
451   These routines are not usually accessed directly, rather solving is
452   done through the SLES, KSP and PC interfaces.
453 */
454 
455 /*E
456     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
457        with an optional dynamic library name, for example
458        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
459 
460    Level: beginner
461 
462 .seealso: MatGetOrdering()
463 E*/
464 typedef char* MatOrderingType;
465 #define MATORDERING_NATURAL   "natural"
466 #define MATORDERING_ND        "nd"
467 #define MATORDERING_1WD       "1wd"
468 #define MATORDERING_RCM       "rcm"
469 #define MATORDERING_QMD       "qmd"
470 #define MATORDERING_ROWLENGTH "rowlength"
471 #define MATORDERING_DSC_ND    "dsc_nd"
472 #define MATORDERING_DSC_MMD   "dsc_mmd"
473 #define MATORDERING_DSC_MDF   "dsc_mdf"
474 #define MATORDERING_CONSTRAINED "constrained"
475 #define MATORDERING_IDENTITY  "identity"
476 #define MATORDERING_REVERSE   "reverse"
477 
478 EXTERN int MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
479 EXTERN int MatOrderingRegister(char*,char*,char*,int(*)(Mat,MatOrderingType,IS*,IS*));
480 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
481 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
482 #else
483 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
484 #endif
485 EXTERN int        MatOrderingRegisterDestroy(void);
486 EXTERN int        MatOrderingRegisterAll(char*);
487 extern PetscTruth MatOrderingRegisterAllCalled;
488 extern PetscFList      MatOrderingList;
489 
490 EXTERN int MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
491 
492 /*S
493    MatFactorInfo - Data based into the matrix factorization routines
494 
495    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE
496 
497    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
498 
499    Level: developer
500 
501 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor()
502 
503 S*/
504 typedef struct {
505   PetscReal     damping;        /* scaling of identity added to matrix to prevent zero pivots */
506   PetscTruth    lu_shift;          /* if true, shift until positive pivots */
507   PetscReal     lu_shift_fraction; /* record shift fraction taken */
508   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
509   PetscReal     dt;             /* drop tolerance */
510   PetscReal     dtcol;          /* tolerance for pivoting */
511   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
512   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
513   int           levels;         /* ICC(levels) */
514   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
515                                    factorization may be faster if do not pivot */
516   PetscReal     zeropivot;      /* pivot is called zero if less than this */
517 } MatFactorInfo;
518 
519 EXTERN int MatCholeskyFactor(Mat,IS,MatFactorInfo*);
520 EXTERN int MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
521 EXTERN int MatCholeskyFactorNumeric(Mat,Mat*);
522 EXTERN int MatLUFactor(Mat,IS,IS,MatFactorInfo*);
523 EXTERN int MatILUFactor(Mat,IS,IS,MatFactorInfo*);
524 EXTERN int MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
525 EXTERN int MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
526 EXTERN int MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
527 EXTERN int MatICCFactor(Mat,IS,MatFactorInfo*);
528 EXTERN int MatLUFactorNumeric(Mat,Mat*);
529 EXTERN int MatILUDTFactor(Mat,MatFactorInfo*,IS,IS,Mat *);
530 EXTERN int MatGetInertia(Mat,int*,int*,int*);
531 EXTERN int MatSolve(Mat,Vec,Vec);
532 EXTERN int MatForwardSolve(Mat,Vec,Vec);
533 EXTERN int MatBackwardSolve(Mat,Vec,Vec);
534 EXTERN int MatSolveAdd(Mat,Vec,Vec,Vec);
535 EXTERN int MatSolveTranspose(Mat,Vec,Vec);
536 EXTERN int MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
537 EXTERN int MatSolves(Mat,Vecs,Vecs);
538 
539 EXTERN int MatSetUnfactored(Mat);
540 
541 /*  MatSORType may be bitwise ORd together, so do not change the numbers */
542 /*E
543     MatSORType - What type of (S)SOR to perform
544 
545     Level: beginner
546 
547    May be bitwise ORd together
548 
549    Any additions/changes here MUST also be made in include/finclude/petscmat.h
550 
551 .seealso: MatRelax()
552 E*/
553 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
554               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
555               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
556               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
557 EXTERN int MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,int,int,Vec);
558 
559 /*
560     These routines are for efficiently computing Jacobians via finite differences.
561 */
562 
563 /*E
564     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
565        with an optional dynamic library name, for example
566        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
567 
568    Level: beginner
569 
570 .seealso: MatGetColoring()
571 E*/
572 typedef char* MatColoringType;
573 #define MATCOLORING_NATURAL "natural"
574 #define MATCOLORING_SL      "sl"
575 #define MATCOLORING_LF      "lf"
576 #define MATCOLORING_ID      "id"
577 
578 EXTERN int MatGetColoring(Mat,MatColoringType,ISColoring*);
579 EXTERN int MatColoringRegister(char*,char*,char*,int(*)(Mat,MatColoringType,ISColoring *));
580 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
581 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
582 #else
583 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
584 #endif
585 EXTERN int        MatColoringRegisterAll(char *);
586 extern PetscTruth MatColoringRegisterAllCalled;
587 EXTERN int        MatColoringRegisterDestroy(void);
588 EXTERN int        MatColoringPatch(Mat,int,int,ISColoringValue *,ISColoring*);
589 
590 /*S
591      MatFDColoring - Object for computing a sparse Jacobian via finite differences
592         and coloring
593 
594    Level: beginner
595 
596   Concepts: coloring, sparse Jacobian, finite differences
597 
598 .seealso:  MatFDColoringCreate()
599 S*/
600 typedef struct _p_MatFDColoring *MatFDColoring;
601 
602 EXTERN int MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
603 EXTERN int MatFDColoringDestroy(MatFDColoring);
604 EXTERN int MatFDColoringView(MatFDColoring,PetscViewer);
605 EXTERN int MatFDColoringSetFunction(MatFDColoring,int (*)(void),void*);
606 EXTERN int MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
607 EXTERN int MatFDColoringSetFrequency(MatFDColoring,int);
608 EXTERN int MatFDColoringGetFrequency(MatFDColoring,int*);
609 EXTERN int MatFDColoringSetFromOptions(MatFDColoring);
610 EXTERN int MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
611 EXTERN int MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
612 EXTERN int MatFDColoringSetRecompute(MatFDColoring);
613 EXTERN int MatFDColoringSetF(MatFDColoring,Vec);
614 EXTERN int MatFDColoringGetPerturbedColumns(MatFDColoring,int*,int**);
615 /*
616     These routines are for partitioning matrices: currently used only
617   for adjacency matrix, MatCreateMPIAdj().
618 */
619 
620 /*S
621      MatPartitioning - Object for managing the partitioning of a matrix or graph
622 
623    Level: beginner
624 
625   Concepts: partitioning
626 
627 .seealso:  MatParitioningCreate(), MatPartitioningType
628 S*/
629 typedef struct _p_MatPartitioning *MatPartitioning;
630 
631 /*E
632     MatPartitioningType - String with the name of a PETSc matrix partitioing or the creation function
633        with an optional dynamic library name, for example
634        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
635 
636    Level: beginner
637 
638 .seealso: MatPartitioingCreate(), MatPartitioning
639 E*/
640 typedef char* MatPartitioningType;
641 #define MAT_PARTITIONING_CURRENT  "current"
642 #define MAT_PARTITIONING_PARMETIS "parmetis"
643 
644 EXTERN int MatPartitioningCreate(MPI_Comm,MatPartitioning*);
645 EXTERN int MatPartitioningSetType(MatPartitioning,MatPartitioningType);
646 EXTERN int MatPartitioningSetAdjacency(MatPartitioning,Mat);
647 EXTERN int MatPartitioningSetVertexWeights(MatPartitioning,int*);
648 EXTERN int MatPartitioningApply(MatPartitioning,IS*);
649 EXTERN int MatPartitioningDestroy(MatPartitioning);
650 
651 EXTERN int MatPartitioningRegister(char*,char*,char*,int(*)(MatPartitioning));
652 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
653 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
654 #else
655 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
656 #endif
657 
658 EXTERN int        MatPartitioningRegisterAll(char *);
659 extern PetscTruth MatPartitioningRegisterAllCalled;
660 EXTERN int        MatPartitioningRegisterDestroy(void);
661 
662 EXTERN int MatPartitioningView(MatPartitioning,PetscViewer);
663 EXTERN int MatPartitioningSetFromOptions(MatPartitioning);
664 EXTERN int MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
665 
666 EXTERN int MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
667 
668 /*
669     If you add entries here you must also add them to finclude/petscmat.h
670 */
671 typedef enum { MATOP_SET_VALUES=0,
672                MATOP_GET_ROW=1,
673                MATOP_RESTORE_ROW=2,
674                MATOP_MULT=3,
675                MATOP_MULT_ADD=4,
676                MATOP_MULT_TRANSPOSE=5,
677                MATOP_MULT_TRANSPOSE_ADD=6,
678                MATOP_SOLVE=7,
679                MATOP_SOLVE_ADD=8,
680                MATOP_SOLVE_TRANSPOSE=9,
681                MATOP_SOLVE_TRANSPOSE_ADD=10,
682                MATOP_LUFACTOR=11,
683                MATOP_CHOLESKYFACTOR=12,
684                MATOP_RELAX=13,
685                MATOP_TRANSPOSE=14,
686                MATOP_GETINFO=15,
687                MATOP_EQUAL=16,
688                MATOP_GET_DIAGONAL=17,
689                MATOP_DIAGONAL_SCALE=18,
690                MATOP_NORM=19,
691                MATOP_ASSEMBLY_BEGIN=20,
692                MATOP_ASSEMBLY_END=21,
693                MATOP_COMPRESS=22,
694                MATOP_SET_OPTION=23,
695                MATOP_ZERO_ENTRIES=24,
696                MATOP_ZERO_ROWS=25,
697                MATOP_LUFACTOR_SYMBOLIC=26,
698                MATOP_LUFACTOR_NUMERIC=27,
699                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
700                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
701                MATOP_SETUP_PREALLOCATION=30,
702                MATOP_ILUFACTOR_SYMBOLIC=31,
703                MATOP_ICCFACTOR_SYMBOLIC=32,
704                MATOP_GET_ARRAY=33,
705                MATOP_RESTORE_ARRAY=34,
706                MATOP_DUPLCIATE=35,
707                MATOP_FORWARD_SOLVE=36,
708                MATOP_BACKWARD_SOLVE=37,
709                MATOP_ILUFACTOR=38,
710                MATOP_ICCFACTOR=39,
711                MATOP_AXPY=40,
712                MATOP_GET_SUBMATRICES=41,
713                MATOP_INCREASE_OVERLAP=42,
714                MATOP_GET_VALUES=43,
715                MATOP_COPY=44,
716                MATOP_PRINT_HELP=45,
717                MATOP_SCALE=46,
718                MATOP_SHIFT=47,
719                MATOP_DIAGONAL_SHIFT=48,
720                MATOP_ILUDT_FACTOR=49,
721                MATOP_GET_BLOCK_SIZE=50,
722                MATOP_GET_ROW_IJ=51,
723                MATOP_RESTORE_ROW_IJ=52,
724                MATOP_GET_COLUMN_IJ=53,
725                MATOP_RESTORE_COLUMN_IJ=54,
726                MATOP_FDCOLORING_CREATE=55,
727                MATOP_COLORING_PATCH=56,
728                MATOP_SET_UNFACTORED=57,
729                MATOP_PERMUTE=58,
730                MATOP_SET_VALUES_BLOCKED=59,
731                MATOP_GET_SUBMATRIX=60,
732                MATOP_DESTROY=61,
733                MATOP_VIEW=62,
734                MATOP_GET_MAPS=63,
735                MATOP_USE_SCALED_FORM=64,
736                MATOP_SCALE_SYSTEM=65,
737                MATOP_UNSCALE_SYSTEM=66,
738                MATOP_SET_LOCAL_TO_GLOBAL_MAPPING=67,
739                MATOP_SET_VALUES_LOCAL=68,
740                MATOP_ZERO_ROWS_LOCAL=69,
741                MATOP_GET_ROW_MAX=70,
742                MATOP_CONVERT=71,
743                MATOP_SET_COLORING=72,
744                MATOP_SET_VALUES_ADIC=73,
745                MATOP_SET_VALUES_ADIFOR=74,
746                MATOP_FD_COLORING_APPLY=75,
747                MATOP_SET_FROM_OPTIONS=76,
748                MATOP_MULT_CONSTRAINED=77,
749                MATOP_MULT_TRANSPOSE_CONSTRAINED=78,
750                MATOP_ILU_FACTOR_SYMBOLIC_CONSTRAINED=79,
751                MATOP_PERMUTE_SPARSIFY=80,
752                MATOP_MULT_MULTIPLE=81,
753                MATOP_SOLVE_MULTIPLE=82
754              } MatOperation;
755 EXTERN int MatHasOperation(Mat,MatOperation,PetscTruth*);
756 EXTERN int MatShellSetOperation(Mat,MatOperation,void(*)(void));
757 EXTERN int MatShellGetOperation(Mat,MatOperation,void(**)(void));
758 EXTERN int MatShellSetContext(Mat,void*);
759 
760 /*
761    Codes for matrices stored on disk. By default they are
762  stored in a universal format. By changing the format with
763  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
764  be stored in a way natural for the matrix, for example dense matrices
765  would be stored as dense. Matrices stored this way may only be
766  read into matrices of the same time.
767 */
768 #define MATRIX_BINARY_FORMAT_DENSE -1
769 
770 /*
771      New matrix classes not yet distributed
772 */
773 /*
774     MatAIJIndices is a data structure for storing the nonzero location information
775   for sparse matrices. Several matrices with identical nonzero structure can share
776   the same MatAIJIndices.
777 */
778 typedef struct _p_MatAIJIndices* MatAIJIndices;
779 
780 EXTERN int MatCreateAIJIndices(int,int,int*,int*,PetscTruth,MatAIJIndices*);
781 EXTERN int MatCreateAIJIndicesEmpty(int,int,int*,PetscTruth,MatAIJIndices*);
782 EXTERN int MatAttachAIJIndices(MatAIJIndices,MatAIJIndices*);
783 EXTERN int MatDestroyAIJIndices(MatAIJIndices);
784 EXTERN int MatCopyAIJIndices(MatAIJIndices,MatAIJIndices*);
785 EXTERN int MatValidateAIJIndices(int,MatAIJIndices);
786 EXTERN int MatShiftAIJIndices(MatAIJIndices);
787 EXTERN int MatShrinkAIJIndices(MatAIJIndices);
788 EXTERN int MatTransposeAIJIndices(MatAIJIndices,MatAIJIndices*);
789 
790 EXTERN int MatCreateSeqCSN(MPI_Comm,int,int,int*,int,Mat*);
791 EXTERN int MatCreateSeqCSN_Single(MPI_Comm,int,int,int*,int,Mat*);
792 EXTERN int MatCreateSeqCSNWithPrecision(MPI_Comm,int,int,int*,int,PetscScalarPrecision,Mat*);
793 
794 EXTERN int MatCreateSeqCSNIndices(MPI_Comm,MatAIJIndices,int,Mat *);
795 EXTERN int MatCreateSeqCSNIndices_Single(MPI_Comm,MatAIJIndices,int,Mat *);
796 EXTERN int MatCreateSeqCSNIndicesWithPrecision(MPI_Comm,MatAIJIndices,int,PetscScalarPrecision,Mat *);
797 
798 EXTERN int MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
799 EXTERN int MatSeqAIJGetInodeSizes(Mat,int *,int *[],int *);
800 EXTERN int MatMPIRowbsGetColor(Mat,ISColoring *);
801 
802 /*S
803      MatNullSpace - Object that removes a null space from a vector, i.e.
804          orthogonalizes the vector to a subsapce
805 
806    Level: advanced
807 
808   Concepts: matrix; linear operator, null space
809 
810   Users manual sections:
811 .   sec_singular
812 
813 .seealso:  MatNullSpaceCreate()
814 S*/
815 typedef struct _p_MatNullSpace* MatNullSpace;
816 
817 EXTERN int MatNullSpaceCreate(MPI_Comm,int,int,Vec *,MatNullSpace*);
818 EXTERN int MatNullSpaceDestroy(MatNullSpace);
819 EXTERN int MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
820 EXTERN int MatNullSpaceAttach(Mat,MatNullSpace);
821 EXTERN int MatNullSpaceTest(MatNullSpace,Mat);
822 
823 EXTERN int MatReorderingSeqSBAIJ(Mat A,IS isp);
824 EXTERN int MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
825 EXTERN int MatSeqSBAIJSetColumnIndices(Mat,int *);
826 
827 
828 EXTERN int MatCreateMAIJ(Mat,int,Mat*);
829 EXTERN int MatMAIJRedimension(Mat,int,Mat*);
830 EXTERN int MatMAIJGetAIJ(Mat,Mat*);
831 
832 EXTERN int MatMPIAdjSetValues(Mat,int*,int*,int*);
833 
834 EXTERN int MatComputeExplicitOperator(Mat,Mat*);
835 
836 EXTERN int MatESISetType(Mat,char*);
837 EXTERN int MatESISetFromOptions(Mat);
838 
839 EXTERN int MatDiagonalScaleLocal(Mat,Vec);
840 
841 EXTERN int PetscViewerMathematicaPutMatrix(PetscViewer, int, int, PetscReal *);
842 EXTERN int PetscViewerMathematicaPutCSRMatrix(PetscViewer, int, int, int *, int *, PetscReal *);
843 
844 EXTERN int MatUseSuperLU_DIST_MPIAIJ(Mat);
845 EXTERN int MatUseSpooles_SeqAIJ(Mat);
846 EXTERN int MatUseUMFPACK_SeqAIJ(Mat);
847 EXTERN int MatUseSuperLU_SeqAIJ(Mat);
848 EXTERN int MatUseEssl_SeqAIJ(Mat);
849 EXTERN int MatUseLUSOL_SeqAIJ(Mat);
850 EXTERN int MatUseMatlab_SeqAIJ(Mat);
851 EXTERN int MatUseDXML_SeqAIJ(Mat);
852 EXTERN int MatUseSuperLU_DIST_MPIAIJ(Mat);
853 EXTERN int MatUseSpooles_MPIAIJ(Mat);
854 EXTERN int MatUseSpooles_SeqSBAIJ(Mat);
855 extern int MatUseSpooles_MPISBAIJ(Mat);
856 
857 #endif
858 
859 
860 
861