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 MatIsSymmetric(Mat,Mat,PetscTruth*); 207 EXTERN int MatMultTransposeAdd(Mat,Vec,Vec,Vec); 208 EXTERN int MatMultConstrained(Mat,Vec,Vec); 209 EXTERN int MatMultTransposeConstrained(Mat,Vec,Vec); 210 211 /*E 212 MatDuplicateOption - Indicates if a duplicated sparse matrix should have 213 its numerical values copied over or just its nonzero structure. 214 215 Level: beginner 216 217 Any additions/changes here MUST also be made in include/finclude/petscmat.h 218 219 .seealso: MatDuplicate() 220 E*/ 221 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption; 222 223 EXTERN int MatConvertRegister(char*,char*,char*,int (*)(Mat,MatType,Mat*)); 224 #if defined(PETSC_USE_DYNAMIC_LIBRARIES) 225 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0) 226 #else 227 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d) 228 #endif 229 EXTERN int MatConvertRegisterAll(char*); 230 EXTERN int MatConvertRegisterDestroy(void); 231 extern PetscTruth MatConvertRegisterAllCalled; 232 extern PetscFList MatConvertList; 233 EXTERN int MatConvert(Mat,MatType,Mat*); 234 EXTERN int MatDuplicate(Mat,MatDuplicateOption,Mat*); 235 236 /*E 237 MatStructure - Indicates if the matrix has the same nonzero structure 238 239 Level: beginner 240 241 Any additions/changes here MUST also be made in include/finclude/petscmat.h 242 243 .seealso: MatCopy(), SLESSetOperators(), PCSetOperators() 244 E*/ 245 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure; 246 247 EXTERN int MatCopy(Mat,Mat,MatStructure); 248 EXTERN int MatView(Mat,PetscViewer); 249 250 EXTERN int MatLoadRegister(char*,char*,char*,int (*)(PetscViewer,MatType,Mat*)); 251 #if defined(PETSC_USE_DYNAMIC_LIBRARIES) 252 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,0) 253 #else 254 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,d) 255 #endif 256 EXTERN int MatLoadRegisterAll(char*); 257 EXTERN int MatLoadRegisterDestroy(void); 258 extern PetscTruth MatLoadRegisterAllCalled; 259 extern PetscFList MatLoadList; 260 EXTERN int MatLoad(PetscViewer,MatType,Mat*); 261 EXTERN int MatMerge(MPI_Comm,Mat,Mat*); 262 263 EXTERN int MatGetRowIJ(Mat,int,PetscTruth,int*,int **,int **,PetscTruth *); 264 EXTERN int MatRestoreRowIJ(Mat,int,PetscTruth,int *,int **,int **,PetscTruth *); 265 EXTERN int MatGetColumnIJ(Mat,int,PetscTruth,int*,int **,int **,PetscTruth *); 266 EXTERN int MatRestoreColumnIJ(Mat,int,PetscTruth,int *,int **,int **,PetscTruth *); 267 268 /*S 269 MatInfo - Context of matrix information, used with MatGetInfo() 270 271 In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE 272 273 Level: intermediate 274 275 Concepts: matrix^nonzero information 276 277 .seealso: MatGetInfo(), MatInfoType 278 S*/ 279 typedef struct { 280 PetscLogDouble rows_global,columns_global; /* number of global rows and columns */ 281 PetscLogDouble rows_local,columns_local; /* number of local rows and columns */ 282 PetscLogDouble block_size; /* block size */ 283 PetscLogDouble nz_allocated,nz_used,nz_unneeded; /* number of nonzeros */ 284 PetscLogDouble memory; /* memory allocated */ 285 PetscLogDouble assemblies; /* number of matrix assemblies called */ 286 PetscLogDouble mallocs; /* number of mallocs during MatSetValues() */ 287 PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */ 288 PetscLogDouble factor_mallocs; /* number of mallocs during factorization */ 289 } MatInfo; 290 291 /*E 292 MatInfoType - Indicates if you want information about the local part of the matrix, 293 the entire parallel matrix or the maximum over all the local parts. 294 295 Level: beginner 296 297 Any additions/changes here MUST also be made in include/finclude/petscmat.h 298 299 .seealso: MatGetInfo(), MatInfo 300 E*/ 301 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType; 302 EXTERN int MatGetInfo(Mat,MatInfoType,MatInfo*); 303 EXTERN int MatValid(Mat,PetscTruth*); 304 EXTERN int MatGetDiagonal(Mat,Vec); 305 EXTERN int MatGetRowMax(Mat,Vec); 306 EXTERN int MatTranspose(Mat,Mat*); 307 EXTERN int MatPermute(Mat,IS,IS,Mat *); 308 EXTERN int MatPermuteSparsify(Mat,int,PetscReal,PetscReal,IS,IS,Mat *); 309 EXTERN int MatDiagonalScale(Mat,Vec,Vec); 310 EXTERN int MatDiagonalSet(Mat,Vec,InsertMode); 311 EXTERN int MatEqual(Mat,Mat,PetscTruth*); 312 313 EXTERN int MatNorm(Mat,NormType,PetscReal *); 314 EXTERN int MatZeroEntries(Mat); 315 EXTERN int MatZeroRows(Mat,IS,PetscScalar*); 316 EXTERN int MatZeroColumns(Mat,IS,PetscScalar*); 317 318 EXTERN int MatUseScaledForm(Mat,PetscTruth); 319 EXTERN int MatScaleSystem(Mat,Vec,Vec); 320 EXTERN int MatUnScaleSystem(Mat,Vec,Vec); 321 322 EXTERN int MatGetSize(Mat,int*,int*); 323 EXTERN int MatGetLocalSize(Mat,int*,int*); 324 EXTERN int MatGetOwnershipRange(Mat,int*,int*); 325 326 /*E 327 MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices() 328 or MatGetSubMatrix() are to be reused to store the new matrix values. 329 330 Level: beginner 331 332 Any additions/changes here MUST also be made in include/finclude/petscmat.h 333 334 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices() 335 E*/ 336 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse; 337 EXTERN int MatGetSubMatrices(Mat,int,IS *,IS *,MatReuse,Mat **); 338 EXTERN int MatDestroyMatrices(int,Mat **); 339 EXTERN int MatGetSubMatrix(Mat,IS,IS,int,MatReuse,Mat *); 340 341 EXTERN int MatIncreaseOverlap(Mat,int,IS *,int); 342 343 EXTERN int MatAXPY(PetscScalar *,Mat,Mat,MatStructure); 344 EXTERN int MatAYPX(PetscScalar *,Mat,Mat); 345 EXTERN int MatCompress(Mat); 346 347 EXTERN int MatScale(PetscScalar *,Mat); 348 EXTERN int MatShift(PetscScalar *,Mat); 349 350 EXTERN int MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping); 351 EXTERN int MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping); 352 EXTERN int MatZeroRowsLocal(Mat,IS,PetscScalar*); 353 EXTERN int MatSetValuesLocal(Mat,int,int*,int,int*,PetscScalar*,InsertMode); 354 EXTERN int MatSetValuesBlockedLocal(Mat,int,int*,int,int*,PetscScalar*,InsertMode); 355 356 EXTERN int MatSetStashInitialSize(Mat,int,int); 357 358 EXTERN int MatInterpolateAdd(Mat,Vec,Vec,Vec); 359 EXTERN int MatInterpolate(Mat,Vec,Vec); 360 EXTERN int MatRestrict(Mat,Vec,Vec); 361 362 /* 363 These three (or four) macros MUST be used together. The third one closes the open { of the first one 364 */ 365 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \ 366 { \ 367 int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \ 368 _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\ 369 _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\ 370 _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\ 371 _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp; 372 373 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \ 374 { \ 375 int _4_ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__end; \ 376 _4_ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\ 377 _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(_4_ierr);\ 378 _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\ 379 _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp; 380 381 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\ 382 {\ 383 int __l;\ 384 _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\ 385 _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\ 386 for (__l=0;__l<nrows;__l++) {\ 387 _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\ 388 }\ 389 } 390 391 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\ 392 {\ 393 int __l;\ 394 _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\ 395 _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\ 396 for (__l=0;__l<nrows;__l++) {\ 397 _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\ 398 }\ 399 } 400 401 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\ 402 { int __i; \ 403 for (__i=0; __i<nc; __i++) {\ 404 if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \ 405 }\ 406 dnz[row - __rstart] = nc - onz[row - __rstart];\ 407 } 408 409 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\ 410 { int __i; \ 411 for (__i=0; __i<nc; __i++) {\ 412 if (cols[__i] >= __end) onz[row - __rstart]++; \ 413 else if (cols[__i] >= row) dnz[row - __rstart]++;\ 414 }\ 415 } 416 417 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);} 418 419 /* Routines unique to particular data structures */ 420 EXTERN int MatShellGetContext(Mat,void **); 421 422 EXTERN int MatBDiagGetData(Mat,int*,int*,int**,int**,PetscScalar***); 423 EXTERN int MatSeqAIJSetColumnIndices(Mat,int *); 424 EXTERN int MatSeqBAIJSetColumnIndices(Mat,int *); 425 EXTERN int MatCreateSeqAIJWithArrays(MPI_Comm,int,int,int*,int*,PetscScalar *,Mat*); 426 427 EXTERN int MatSeqBAIJSetPreallocation(Mat,int,int,int*); 428 EXTERN int MatSeqSBAIJSetPreallocation(Mat,int,int,int*); 429 EXTERN int MatSeqAIJSetPreallocation(Mat,int,int*); 430 EXTERN int MatSeqDensePreallocation(Mat,PetscScalar*); 431 EXTERN int MatSeqBDiagSetPreallocation(Mat,int,int,int*,PetscScalar**); 432 EXTERN int MatSeqDenseSetPreallocation(Mat,PetscScalar*); 433 434 EXTERN int MatMPIBAIJSetPreallocation(Mat,int,int,int*,int,int*); 435 EXTERN int MatMPISBAIJSetPreallocation(Mat,int,int,int*,int,int*); 436 EXTERN int MatMPIAIJSetPreallocation(Mat,int,int*,int,int*); 437 EXTERN int MatMPIDensePreallocation(Mat,PetscScalar*); 438 EXTERN int MatMPIBDiagSetPreallocation(Mat,int,int,int*,PetscScalar**); 439 EXTERN int MatMPIAdjSetPreallocation(Mat,int*,int*,int*); 440 EXTERN int MatMPIDenseSetPreallocation(Mat,PetscScalar*); 441 EXTERN int MatMPIRowbsSetPreallocation(Mat,int,int*); 442 EXTERN int MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,int**); 443 EXTERN int MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,int**); 444 EXTERN int MatAdicSetLocalFunction(Mat,void (*)(void)); 445 446 EXTERN int MatStoreValues(Mat); 447 EXTERN int MatRetrieveValues(Mat); 448 449 EXTERN int MatDAADSetCtx(Mat,void*); 450 451 /* 452 These routines are not usually accessed directly, rather solving is 453 done through the SLES, KSP and PC interfaces. 454 */ 455 456 /*E 457 MatOrderingType - String with the name of a PETSc matrix ordering or the creation function 458 with an optional dynamic library name, for example 459 http://www.mcs.anl.gov/petsc/lib.a:orderingcreate() 460 461 Level: beginner 462 463 .seealso: MatGetOrdering() 464 E*/ 465 typedef char* MatOrderingType; 466 #define MATORDERING_NATURAL "natural" 467 #define MATORDERING_ND "nd" 468 #define MATORDERING_1WD "1wd" 469 #define MATORDERING_RCM "rcm" 470 #define MATORDERING_QMD "qmd" 471 #define MATORDERING_ROWLENGTH "rowlength" 472 #define MATORDERING_DSC_ND "dsc_nd" 473 #define MATORDERING_DSC_MMD "dsc_mmd" 474 #define MATORDERING_DSC_MDF "dsc_mdf" 475 #define MATORDERING_CONSTRAINED "constrained" 476 #define MATORDERING_IDENTITY "identity" 477 #define MATORDERING_REVERSE "reverse" 478 479 EXTERN int MatGetOrdering(Mat,MatOrderingType,IS*,IS*); 480 EXTERN int MatOrderingRegister(char*,char*,char*,int(*)(Mat,MatOrderingType,IS*,IS*)); 481 #if defined(PETSC_USE_DYNAMIC_LIBRARIES) 482 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0) 483 #else 484 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d) 485 #endif 486 EXTERN int MatOrderingRegisterDestroy(void); 487 EXTERN int MatOrderingRegisterAll(char*); 488 extern PetscTruth MatOrderingRegisterAllCalled; 489 extern PetscFList MatOrderingList; 490 491 EXTERN int MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS); 492 493 /*S 494 MatFactorInfo - Data based into the matrix factorization routines 495 496 In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE 497 498 Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC. 499 500 Level: developer 501 502 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor() 503 504 S*/ 505 typedef struct { 506 PetscReal damping; /* scaling of identity added to matrix to prevent zero pivots */ 507 PetscReal lu_shift; /* if true, shift until positive pivots */ 508 PetscReal lu_shift_fraction; /* record shift fraction taken */ 509 PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */ 510 PetscReal dt; /* drop tolerance */ 511 PetscReal dtcol; /* tolerance for pivoting */ 512 PetscReal dtcount; /* maximum nonzeros to be allowed per row */ 513 PetscReal fill; /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/ 514 int levels; /* ICC(levels) */ 515 PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0 516 factorization may be faster if do not pivot */ 517 PetscReal zeropivot; /* pivot is called zero if less than this */ 518 } MatFactorInfo; 519 520 EXTERN int MatCholeskyFactor(Mat,IS,MatFactorInfo*); 521 EXTERN int MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*); 522 EXTERN int MatCholeskyFactorNumeric(Mat,Mat*); 523 EXTERN int MatLUFactor(Mat,IS,IS,MatFactorInfo*); 524 EXTERN int MatILUFactor(Mat,IS,IS,MatFactorInfo*); 525 EXTERN int MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*); 526 EXTERN int MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*); 527 EXTERN int MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*); 528 EXTERN int MatICCFactor(Mat,IS,MatFactorInfo*); 529 EXTERN int MatLUFactorNumeric(Mat,Mat*); 530 EXTERN int MatILUDTFactor(Mat,MatFactorInfo*,IS,IS,Mat *); 531 EXTERN int MatGetInertia(Mat,int*,int*,int*); 532 EXTERN int MatSolve(Mat,Vec,Vec); 533 EXTERN int MatForwardSolve(Mat,Vec,Vec); 534 EXTERN int MatBackwardSolve(Mat,Vec,Vec); 535 EXTERN int MatSolveAdd(Mat,Vec,Vec,Vec); 536 EXTERN int MatSolveTranspose(Mat,Vec,Vec); 537 EXTERN int MatSolveTransposeAdd(Mat,Vec,Vec,Vec); 538 EXTERN int MatSolves(Mat,Vecs,Vecs); 539 540 EXTERN int MatSetUnfactored(Mat); 541 542 /* MatSORType may be bitwise ORd together, so do not change the numbers */ 543 /*E 544 MatSORType - What type of (S)SOR to perform 545 546 Level: beginner 547 548 May be bitwise ORd together 549 550 Any additions/changes here MUST also be made in include/finclude/petscmat.h 551 552 .seealso: MatRelax() 553 E*/ 554 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3, 555 SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8, 556 SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16, 557 SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType; 558 EXTERN int MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,int,int,Vec); 559 560 /* 561 These routines are for efficiently computing Jacobians via finite differences. 562 */ 563 564 /*E 565 MatColoringType - String with the name of a PETSc matrix coloring or the creation function 566 with an optional dynamic library name, for example 567 http://www.mcs.anl.gov/petsc/lib.a:coloringcreate() 568 569 Level: beginner 570 571 .seealso: MatGetColoring() 572 E*/ 573 typedef char* MatColoringType; 574 #define MATCOLORING_NATURAL "natural" 575 #define MATCOLORING_SL "sl" 576 #define MATCOLORING_LF "lf" 577 #define MATCOLORING_ID "id" 578 579 EXTERN int MatGetColoring(Mat,MatColoringType,ISColoring*); 580 EXTERN int MatColoringRegister(char*,char*,char*,int(*)(Mat,MatColoringType,ISColoring *)); 581 #if defined(PETSC_USE_DYNAMIC_LIBRARIES) 582 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0) 583 #else 584 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d) 585 #endif 586 EXTERN int MatColoringRegisterAll(char *); 587 extern PetscTruth MatColoringRegisterAllCalled; 588 EXTERN int MatColoringRegisterDestroy(void); 589 EXTERN int MatColoringPatch(Mat,int,int,ISColoringValue *,ISColoring*); 590 591 /*S 592 MatFDColoring - Object for computing a sparse Jacobian via finite differences 593 and coloring 594 595 Level: beginner 596 597 Concepts: coloring, sparse Jacobian, finite differences 598 599 .seealso: MatFDColoringCreate() 600 S*/ 601 typedef struct _p_MatFDColoring *MatFDColoring; 602 603 EXTERN int MatFDColoringCreate(Mat,ISColoring,MatFDColoring *); 604 EXTERN int MatFDColoringDestroy(MatFDColoring); 605 EXTERN int MatFDColoringView(MatFDColoring,PetscViewer); 606 EXTERN int MatFDColoringSetFunction(MatFDColoring,int (*)(void),void*); 607 EXTERN int MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal); 608 EXTERN int MatFDColoringSetFrequency(MatFDColoring,int); 609 EXTERN int MatFDColoringGetFrequency(MatFDColoring,int*); 610 EXTERN int MatFDColoringSetFromOptions(MatFDColoring); 611 EXTERN int MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *); 612 EXTERN int MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *); 613 EXTERN int MatFDColoringSetRecompute(MatFDColoring); 614 EXTERN int MatFDColoringSetF(MatFDColoring,Vec); 615 EXTERN int MatFDColoringGetPerturbedColumns(MatFDColoring,int*,int**); 616 /* 617 These routines are for partitioning matrices: currently used only 618 for adjacency matrix, MatCreateMPIAdj(). 619 */ 620 621 /*S 622 MatPartitioning - Object for managing the partitioning of a matrix or graph 623 624 Level: beginner 625 626 Concepts: partitioning 627 628 .seealso: MatParitioningCreate(), MatPartitioningType 629 S*/ 630 typedef struct _p_MatPartitioning *MatPartitioning; 631 632 /*E 633 MatPartitioningType - String with the name of a PETSc matrix partitioing or the creation function 634 with an optional dynamic library name, for example 635 http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate() 636 637 Level: beginner 638 639 .seealso: MatPartitioingCreate(), MatPartitioning 640 E*/ 641 typedef char* MatPartitioningType; 642 #define MAT_PARTITIONING_CURRENT "current" 643 #define MAT_PARTITIONING_PARMETIS "parmetis" 644 645 EXTERN int MatPartitioningCreate(MPI_Comm,MatPartitioning*); 646 EXTERN int MatPartitioningSetType(MatPartitioning,MatPartitioningType); 647 EXTERN int MatPartitioningSetAdjacency(MatPartitioning,Mat); 648 EXTERN int MatPartitioningSetVertexWeights(MatPartitioning,int*); 649 EXTERN int MatPartitioningApply(MatPartitioning,IS*); 650 EXTERN int MatPartitioningDestroy(MatPartitioning); 651 652 EXTERN int MatPartitioningRegister(char*,char*,char*,int(*)(MatPartitioning)); 653 #if defined(PETSC_USE_DYNAMIC_LIBRARIES) 654 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0) 655 #else 656 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d) 657 #endif 658 659 EXTERN int MatPartitioningRegisterAll(char *); 660 extern PetscTruth MatPartitioningRegisterAllCalled; 661 EXTERN int MatPartitioningRegisterDestroy(void); 662 663 EXTERN int MatPartitioningView(MatPartitioning,PetscViewer); 664 EXTERN int MatPartitioningSetFromOptions(MatPartitioning); 665 EXTERN int MatPartitioningGetType(MatPartitioning,MatPartitioningType*); 666 667 EXTERN int MatPartitioningParmetisSetCoarseSequential(MatPartitioning); 668 669 /* 670 If you add entries here you must also add them to finclude/petscmat.h 671 */ 672 typedef enum { MATOP_SET_VALUES=0, 673 MATOP_GET_ROW=1, 674 MATOP_RESTORE_ROW=2, 675 MATOP_MULT=3, 676 MATOP_MULT_ADD=4, 677 MATOP_MULT_TRANSPOSE=5, 678 MATOP_MULT_TRANSPOSE_ADD=6, 679 MATOP_SOLVE=7, 680 MATOP_SOLVE_ADD=8, 681 MATOP_SOLVE_TRANSPOSE=9, 682 MATOP_SOLVE_TRANSPOSE_ADD=10, 683 MATOP_LUFACTOR=11, 684 MATOP_CHOLESKYFACTOR=12, 685 MATOP_RELAX=13, 686 MATOP_TRANSPOSE=14, 687 MATOP_GETINFO=15, 688 MATOP_EQUAL=16, 689 MATOP_GET_DIAGONAL=17, 690 MATOP_DIAGONAL_SCALE=18, 691 MATOP_NORM=19, 692 MATOP_ASSEMBLY_BEGIN=20, 693 MATOP_ASSEMBLY_END=21, 694 MATOP_COMPRESS=22, 695 MATOP_SET_OPTION=23, 696 MATOP_ZERO_ENTRIES=24, 697 MATOP_ZERO_ROWS=25, 698 MATOP_LUFACTOR_SYMBOLIC=26, 699 MATOP_LUFACTOR_NUMERIC=27, 700 MATOP_CHOLESKY_FACTOR_SYMBOLIC=28, 701 MATOP_CHOLESKY_FACTOR_NUMERIC=29, 702 MATOP_SETUP_PREALLOCATION=30, 703 MATOP_ILUFACTOR_SYMBOLIC=31, 704 MATOP_ICCFACTOR_SYMBOLIC=32, 705 MATOP_GET_ARRAY=33, 706 MATOP_RESTORE_ARRAY=34, 707 MATOP_DUPLCIATE=35, 708 MATOP_FORWARD_SOLVE=36, 709 MATOP_BACKWARD_SOLVE=37, 710 MATOP_ILUFACTOR=38, 711 MATOP_ICCFACTOR=39, 712 MATOP_AXPY=40, 713 MATOP_GET_SUBMATRICES=41, 714 MATOP_INCREASE_OVERLAP=42, 715 MATOP_GET_VALUES=43, 716 MATOP_COPY=44, 717 MATOP_PRINT_HELP=45, 718 MATOP_SCALE=46, 719 MATOP_SHIFT=47, 720 MATOP_DIAGONAL_SHIFT=48, 721 MATOP_ILUDT_FACTOR=49, 722 MATOP_GET_BLOCK_SIZE=50, 723 MATOP_GET_ROW_IJ=51, 724 MATOP_RESTORE_ROW_IJ=52, 725 MATOP_GET_COLUMN_IJ=53, 726 MATOP_RESTORE_COLUMN_IJ=54, 727 MATOP_FDCOLORING_CREATE=55, 728 MATOP_COLORING_PATCH=56, 729 MATOP_SET_UNFACTORED=57, 730 MATOP_PERMUTE=58, 731 MATOP_SET_VALUES_BLOCKED=59, 732 MATOP_GET_SUBMATRIX=60, 733 MATOP_DESTROY=61, 734 MATOP_VIEW=62, 735 MATOP_GET_MAPS=63, 736 MATOP_USE_SCALED_FORM=64, 737 MATOP_SCALE_SYSTEM=65, 738 MATOP_UNSCALE_SYSTEM=66, 739 MATOP_SET_LOCAL_TO_GLOBAL_MAPPING=67, 740 MATOP_SET_VALUES_LOCAL=68, 741 MATOP_ZERO_ROWS_LOCAL=69, 742 MATOP_GET_ROW_MAX=70, 743 MATOP_CONVERT=71, 744 MATOP_SET_COLORING=72, 745 MATOP_SET_VALUES_ADIC=73, 746 MATOP_SET_VALUES_ADIFOR=74, 747 MATOP_FD_COLORING_APPLY=75, 748 MATOP_SET_FROM_OPTIONS=76, 749 MATOP_MULT_CONSTRAINED=77, 750 MATOP_MULT_TRANSPOSE_CONSTRAINED=78, 751 MATOP_ILU_FACTOR_SYMBOLIC_CONSTRAINED=79, 752 MATOP_PERMUTE_SPARSIFY=80, 753 MATOP_MULT_MULTIPLE=81, 754 MATOP_SOLVE_MULTIPLE=82 755 } MatOperation; 756 EXTERN int MatHasOperation(Mat,MatOperation,PetscTruth*); 757 EXTERN int MatShellSetOperation(Mat,MatOperation,void(*)(void)); 758 EXTERN int MatShellGetOperation(Mat,MatOperation,void(**)(void)); 759 EXTERN int MatShellSetContext(Mat,void*); 760 761 /* 762 Codes for matrices stored on disk. By default they are 763 stored in a universal format. By changing the format with 764 PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will 765 be stored in a way natural for the matrix, for example dense matrices 766 would be stored as dense. Matrices stored this way may only be 767 read into matrices of the same time. 768 */ 769 #define MATRIX_BINARY_FORMAT_DENSE -1 770 771 /* 772 New matrix classes not yet distributed 773 */ 774 /* 775 MatAIJIndices is a data structure for storing the nonzero location information 776 for sparse matrices. Several matrices with identical nonzero structure can share 777 the same MatAIJIndices. 778 */ 779 typedef struct _p_MatAIJIndices* MatAIJIndices; 780 781 EXTERN int MatCreateAIJIndices(int,int,int*,int*,PetscTruth,MatAIJIndices*); 782 EXTERN int MatCreateAIJIndicesEmpty(int,int,int*,PetscTruth,MatAIJIndices*); 783 EXTERN int MatAttachAIJIndices(MatAIJIndices,MatAIJIndices*); 784 EXTERN int MatDestroyAIJIndices(MatAIJIndices); 785 EXTERN int MatCopyAIJIndices(MatAIJIndices,MatAIJIndices*); 786 EXTERN int MatValidateAIJIndices(int,MatAIJIndices); 787 EXTERN int MatShiftAIJIndices(MatAIJIndices); 788 EXTERN int MatShrinkAIJIndices(MatAIJIndices); 789 EXTERN int MatTransposeAIJIndices(MatAIJIndices,MatAIJIndices*); 790 791 EXTERN int MatCreateSeqCSN(MPI_Comm,int,int,int*,int,Mat*); 792 EXTERN int MatCreateSeqCSN_Single(MPI_Comm,int,int,int*,int,Mat*); 793 EXTERN int MatCreateSeqCSNWithPrecision(MPI_Comm,int,int,int*,int,PetscScalarPrecision,Mat*); 794 795 EXTERN int MatCreateSeqCSNIndices(MPI_Comm,MatAIJIndices,int,Mat *); 796 EXTERN int MatCreateSeqCSNIndices_Single(MPI_Comm,MatAIJIndices,int,Mat *); 797 EXTERN int MatCreateSeqCSNIndicesWithPrecision(MPI_Comm,MatAIJIndices,int,PetscScalarPrecision,Mat *); 798 799 EXTERN int MatMPIBAIJSetHashTableFactor(Mat,PetscReal); 800 EXTERN int MatSeqAIJGetInodeSizes(Mat,int *,int *[],int *); 801 EXTERN int MatMPIRowbsGetColor(Mat,ISColoring *); 802 803 /*S 804 MatNullSpace - Object that removes a null space from a vector, i.e. 805 orthogonalizes the vector to a subsapce 806 807 Level: advanced 808 809 Concepts: matrix; linear operator, null space 810 811 Users manual sections: 812 . sec_singular 813 814 .seealso: MatNullSpaceCreate() 815 S*/ 816 typedef struct _p_MatNullSpace* MatNullSpace; 817 818 EXTERN int MatNullSpaceCreate(MPI_Comm,int,int,Vec *,MatNullSpace*); 819 EXTERN int MatNullSpaceDestroy(MatNullSpace); 820 EXTERN int MatNullSpaceRemove(MatNullSpace,Vec,Vec*); 821 EXTERN int MatNullSpaceAttach(Mat,MatNullSpace); 822 EXTERN int MatNullSpaceTest(MatNullSpace,Mat); 823 824 EXTERN int MatReorderingSeqSBAIJ(Mat A,IS isp); 825 EXTERN int MatMPISBAIJSetHashTableFactor(Mat,PetscReal); 826 EXTERN int MatSeqSBAIJSetColumnIndices(Mat,int *); 827 828 829 EXTERN int MatCreateMAIJ(Mat,int,Mat*); 830 EXTERN int MatMAIJRedimension(Mat,int,Mat*); 831 EXTERN int MatMAIJGetAIJ(Mat,Mat*); 832 833 EXTERN int MatMPIAdjSetValues(Mat,int*,int*,int*); 834 835 EXTERN int MatComputeExplicitOperator(Mat,Mat*); 836 837 EXTERN int MatESISetType(Mat,char*); 838 EXTERN int MatESISetFromOptions(Mat); 839 840 EXTERN int MatDiagonalScaleLocal(Mat,Vec); 841 842 EXTERN int PetscViewerMathematicaPutMatrix(PetscViewer, int, int, PetscReal *); 843 EXTERN int PetscViewerMathematicaPutCSRMatrix(PetscViewer, int, int, int *, int *, PetscReal *); 844 845 EXTERN int MatUseSuperLU_DIST_MPIAIJ(Mat); 846 EXTERN int MatUseSpooles_SeqAIJ(Mat); 847 EXTERN int MatUseUMFPACK_SeqAIJ(Mat); 848 EXTERN int MatUseSuperLU_SeqAIJ(Mat); 849 EXTERN int MatUseEssl_SeqAIJ(Mat); 850 EXTERN int MatUseLUSOL_SeqAIJ(Mat); 851 EXTERN int MatUseMatlab_SeqAIJ(Mat); 852 EXTERN int MatUseDXML_SeqAIJ(Mat); 853 EXTERN int MatUseSuperLU_DIST_MPIAIJ(Mat); 854 EXTERN int MatUseSpooles_MPIAIJ(Mat); 855 EXTERN int MatUseSpooles_SeqSBAIJ(Mat); 856 extern int MatUseSpooles_MPISBAIJ(Mat); 857 858 #endif 859 860 861 862