xref: /petsc/include/petscmat.h (revision 3a7fca6b988f1faea172e46abdf950477dbfaf76)
1 /* $Id: petscmat.h,v 1.219 2001/04/10 22:35:01 balay Exp bsmith $ */
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 #define MAT_COOKIE         PETSC_COOKIE+5
10 
11 /*S
12      Mat - Abstract PETSc matrix object
13 
14    Level: beginner
15 
16   Concepts: matrix; linear operator
17 
18 .seealso:  MatCreate(), MatType, MatSetType()
19 S*/
20 typedef struct _p_Mat*           Mat;
21 
22 /*E
23     MatType - String with the name of a PETSc matrix or the creation function
24        with an optional dynamic library name, for example
25        http://www.mcs.anl.gov/petsc/lib.a:mymatcreate()
26 
27    Level: beginner
28 
29 .seealso: MatSetType(), Mat
30 E*/
31 #define MATSAME     "same"
32 #define MATSEQMAIJ  "seqmaij"
33 #define MATMPIMAIJ  "mpimaij"
34 #define MATIS       "is"
35 #define MATMPIROWBS "mpirowbs"
36 #define MATSEQDENSE "seqdense"
37 #define MATSEQAIJ   "seqaij"
38 #define MATMPIAIJ   "mpiaij"
39 #define MATSHELL    "shell"
40 #define MATSEQBDIAG "seqbdiag"
41 #define MATMPIBDIAG "mpibdiag"
42 #define MATMPIDENSE "mpidense"
43 #define MATSEQBAIJ  "seqbaij"
44 #define MATMPIBAIJ  "mpibaij"
45 #define MATMPIADJ   "mpiadj"
46 #define MATSEQSBAIJ "seqsbaij"
47 #define MATMPISBAIJ "mpisbaij"
48 #define MATDAAD     "matdaad"
49 typedef char* MatType;
50 
51 EXTERN int MatCreate(MPI_Comm,int,int,int,int,Mat*);
52 EXTERN int MatSetType(Mat,MatType);
53 EXTERN int MatSetFromOptions(Mat);
54 EXTERN int MatSetUpPreallocation(Mat);
55 EXTERN int MatRegisterAll(char*);
56 EXTERN int MatRegister(char*,char*,char*,int(*)(Mat));
57 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
58 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
59 #else
60 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
61 #endif
62 extern PetscTruth MatRegisterAllCalled;
63 extern PetscFList MatList;
64 
65 EXTERN int MatCreate(MPI_Comm,int,int,int,int,Mat*);
66 EXTERN int MatCreateSeqDense(MPI_Comm,int,int,Scalar*,Mat*);
67 EXTERN int MatCreateMPIDense(MPI_Comm,int,int,int,int,Scalar*,Mat*);
68 EXTERN int MatCreateSeqAIJ(MPI_Comm,int,int,int,int*,Mat*);
69 EXTERN int MatCreateMPIAIJ(MPI_Comm,int,int,int,int,int,int*,int,int*,Mat*);
70 EXTERN int MatCreateMPIRowbs(MPI_Comm,int,int,int,int*,Mat*);
71 EXTERN int MatCreateSeqBDiag(MPI_Comm,int,int,int,int,int*,Scalar**,Mat*);
72 EXTERN int MatCreateMPIBDiag(MPI_Comm,int,int,int,int,int,int*,Scalar**,Mat*);
73 EXTERN int MatCreateSeqBAIJ(MPI_Comm,int,int,int,int,int*,Mat*);
74 EXTERN int MatCreateMPIBAIJ(MPI_Comm,int,int,int,int,int,int,int*,int,int*,Mat*);
75 EXTERN int MatCreateMPIAdj(MPI_Comm,int,int,int*,int*,int *,Mat*);
76 EXTERN int MatCreateSeqSBAIJ(MPI_Comm,int,int,int,int,int*,Mat*);
77 EXTERN int MatCreateMPISBAIJ(MPI_Comm,int,int,int,int,int,int,int*,int,int*,Mat*);
78 EXTERN int MatCreateShell(MPI_Comm,int,int,int,int,void *,Mat*);
79 EXTERN int MatCreateAdic(MPI_Comm,int,int,int,int,int,void (*)(void),Mat*);
80 EXTERN int MatDestroy(Mat);
81 
82 EXTERN int MatPrintHelp(Mat);
83 EXTERN int MatGetMaps(Mat,Map*,Map*);
84 
85 /* ------------------------------------------------------------*/
86 EXTERN int MatSetValues(Mat,int,int*,int,int*,Scalar*,InsertMode);
87 EXTERN int MatSetValuesBlocked(Mat,int,int*,int,int*,Scalar*,InsertMode);
88 
89 /*S
90      MatStencil - Data structure (C struct) for storing information about a single row or
91         column of a matrix as index on an associated grid.
92 
93    Level: beginner
94 
95   Concepts: matrix; linear operator
96 
97 .seealso:  MatSetValuesStencil(), MatSetStencil()
98 S*/
99 typedef struct {
100   int k,j,i,c;
101 } MatStencil;
102 
103 EXTERN int MatSetValuesStencil(Mat,int,MatStencil*,int,MatStencil*,Scalar*,InsertMode);
104 EXTERN int MatSetValuesBlockedStencil(Mat,int,MatStencil*,int,MatStencil*,Scalar*,InsertMode);
105 EXTERN int MatSetStencil(Mat,int,int*,int*,int);
106 
107 EXTERN int MatSetColoring(Mat,ISColoring);
108 EXTERN int MatSetValuesAdic(Mat,void*);
109 EXTERN int MatSetValuesAdifor(Mat,int,void*);
110 
111 /*E
112     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
113      to continue to add values to it
114 
115     Level: beginner
116 
117 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
118 E*/
119 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
120 EXTERN int MatAssemblyBegin(Mat,MatAssemblyType);
121 EXTERN int MatAssemblyEnd(Mat,MatAssemblyType);
122 EXTERN int MatAssembled(Mat,PetscTruth*);
123 
124 #define MatSetValue(v,i,j,va,mode) \
125 0; {int _ierr,_row = i,_col = j; Scalar _va = va; \
126   _ierr = MatSetValues(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
127 }
128 #define MatGetValue(v,i,j,va) \
129 0; {int _ierr,_row = i,_col = j; \
130   _ierr = MatGetValues(v,1,&_row,1,&_col,&va);CHKERRQ(_ierr); \
131 }
132 #define MatSetValueLocal(v,i,j,va,mode) \
133 0; {int _ierr,_row = i,_col = j; Scalar _va = va; \
134   _ierr = MatSetValuesLocal(v,1,&_row,1,&_col,&_va,mode);CHKERRQ(_ierr); \
135 }
136 /*E
137     MatOption - Options that may be set for a matrix and its behavior or storage
138 
139     Level: beginner
140 
141    Any additions/changes here MUST also be made in include/finclude/petscmat.h
142 
143 .seealso: MatSetOption()
144 E*/
145 typedef enum {MAT_ROW_ORIENTED=1,MAT_COLUMN_ORIENTED=2,MAT_ROWS_SORTED=4,
146               MAT_COLUMNS_SORTED=8,MAT_NO_NEW_NONZERO_LOCATIONS=16,
147               MAT_YES_NEW_NONZERO_LOCATIONS=32,MAT_SYMMETRIC=64,
148               MAT_STRUCTURALLY_SYMMETRIC=65,MAT_NO_NEW_DIAGONALS=66,
149               MAT_YES_NEW_DIAGONALS=67,MAT_INODE_LIMIT_1=68,MAT_INODE_LIMIT_2=69,
150               MAT_INODE_LIMIT_3=70,MAT_INODE_LIMIT_4=71,MAT_INODE_LIMIT_5=72,
151               MAT_IGNORE_OFF_PROC_ENTRIES=73,MAT_ROWS_UNSORTED=74,
152               MAT_COLUMNS_UNSORTED=75,MAT_NEW_NONZERO_LOCATION_ERR=76,
153               MAT_NEW_NONZERO_ALLOCATION_ERR=77,MAT_USE_HASH_TABLE=78,
154               MAT_KEEP_ZEROED_ROWS=79,MAT_IGNORE_ZERO_ENTRIES=80,MAT_USE_INODES=81,
155               MAT_DO_NOT_USE_INODES=82} MatOption;
156 EXTERN int MatSetOption(Mat,MatOption);
157 EXTERN int MatGetType(Mat,MatType*);
158 
159 EXTERN int MatGetValues(Mat,int,int*,int,int*,Scalar*);
160 EXTERN int MatGetRow(Mat,int,int *,int **,Scalar**);
161 EXTERN int MatRestoreRow(Mat,int,int *,int **,Scalar**);
162 EXTERN int MatGetColumn(Mat,int,int *,int **,Scalar**);
163 EXTERN int MatRestoreColumn(Mat,int,int *,int **,Scalar**);
164 EXTERN int MatGetColumnVector(Mat,Vec,int);
165 EXTERN int MatGetArray(Mat,Scalar **);
166 EXTERN int MatRestoreArray(Mat,Scalar **);
167 EXTERN int MatGetBlockSize(Mat,int *);
168 
169 EXTERN int MatMult(Mat,Vec,Vec);
170 EXTERN int MatMultAdd(Mat,Vec,Vec,Vec);
171 EXTERN int MatMultTranspose(Mat,Vec,Vec);
172 EXTERN int MatMultTransposeAdd(Mat,Vec,Vec,Vec);
173 
174 /*E
175     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
176   its numerical values copied over or just its nonzero structure.
177 
178     Level: beginner
179 
180    Any additions/changes here MUST also be made in include/finclude/petscmat.h
181 
182 .seealso: MatDuplicate()
183 E*/
184 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption;
185 
186 EXTERN int MatConvertRegister(char*,char*,char*,int (*)(Mat,MatType,Mat*));
187 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
188 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0)
189 #else
190 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d)
191 #endif
192 EXTERN int        MatConvertRegisterAll(char*);
193 EXTERN int        MatConvertRegisterDestroy(void);
194 extern PetscTruth MatConvertRegisterAllCalled;
195 extern PetscFList MatConvertList;
196 EXTERN int        MatConvert(Mat,MatType,Mat*);
197 EXTERN int        MatDuplicate(Mat,MatDuplicateOption,Mat*);
198 
199 /*E
200     MatStructure - Indicates if the matrix has the same nonzero structure
201 
202     Level: beginner
203 
204    Any additions/changes here MUST also be made in include/finclude/petscmat.h
205 
206 .seealso: MatCopy(), SLESSetOperators(), PCSetOperators()
207 E*/
208 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER} MatStructure;
209 
210 EXTERN int MatCopy(Mat,Mat,MatStructure);
211 EXTERN int MatView(Mat,PetscViewer);
212 
213 EXTERN int MatLoadRegister(char*,char*,char*,int (*)(PetscViewer,MatType,Mat*));
214 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
215 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,0)
216 #else
217 #define MatLoadRegisterDynamic(a,b,c,d) MatLoadRegister(a,b,c,d)
218 #endif
219 EXTERN int        MatLoadRegisterAll(char*);
220 EXTERN int        MatLoadRegisterDestroy(void);
221 extern PetscTruth MatLoadRegisterAllCalled;
222 extern PetscFList MatLoadList;
223 EXTERN int        MatLoad(PetscViewer,MatType,Mat*);
224 
225 EXTERN int MatGetRowIJ(Mat,int,PetscTruth,int*,int **,int **,PetscTruth *);
226 EXTERN int MatRestoreRowIJ(Mat,int,PetscTruth,int *,int **,int **,PetscTruth *);
227 EXTERN int MatGetColumnIJ(Mat,int,PetscTruth,int*,int **,int **,PetscTruth *);
228 EXTERN int MatRestoreColumnIJ(Mat,int,PetscTruth,int *,int **,int **,PetscTruth *);
229 
230 /*S
231      MatInfo - Context of matrix information, used with MatGetInfo()
232 
233    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
234 
235    Level: intermediate
236 
237   Concepts: matrix^nonzero information
238 
239 .seealso:  MatGetInfo(), MatInfoType
240 S*/
241 typedef struct {
242   PetscLogDouble rows_global,columns_global;         /* number of global rows and columns */
243   PetscLogDouble rows_local,columns_local;           /* number of local rows and columns */
244   PetscLogDouble block_size;                         /* block size */
245   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
246   PetscLogDouble memory;                             /* memory allocated */
247   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
248   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
249   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
250   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
251 } MatInfo;
252 
253 /*E
254     MatInfoType - Indicates if you want information about the local part of the matrix,
255      the entire parallel matrix or the maximum over all the local parts.
256 
257     Level: beginner
258 
259    Any additions/changes here MUST also be made in include/finclude/petscmat.h
260 
261 .seealso: MatGetInfo(), MatInfo
262 E*/
263 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
264 EXTERN int MatGetInfo(Mat,MatInfoType,MatInfo*);
265 EXTERN int MatValid(Mat,PetscTruth*);
266 EXTERN int MatGetDiagonal(Mat,Vec);
267 EXTERN int MatGetRowMax(Mat,Vec);
268 EXTERN int MatTranspose(Mat,Mat*);
269 EXTERN int MatPermute(Mat,IS,IS,Mat *);
270 EXTERN int MatDiagonalScale(Mat,Vec,Vec);
271 EXTERN int MatDiagonalSet(Mat,Vec,InsertMode);
272 EXTERN int MatEqual(Mat,Mat,PetscTruth*);
273 
274 EXTERN int MatNorm(Mat,NormType,double *);
275 EXTERN int MatZeroEntries(Mat);
276 EXTERN int MatZeroRows(Mat,IS,Scalar*);
277 EXTERN int MatZeroColumns(Mat,IS,Scalar*);
278 
279 EXTERN int MatUseScaledForm(Mat,PetscTruth);
280 EXTERN int MatScaleSystem(Mat,Vec,Vec);
281 EXTERN int MatUnScaleSystem(Mat,Vec,Vec);
282 
283 EXTERN int MatGetSize(Mat,int*,int*);
284 EXTERN int MatGetLocalSize(Mat,int*,int*);
285 EXTERN int MatGetOwnershipRange(Mat,int*,int*);
286 
287 /*E
288     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
289      or MatGetSubMatrix() are to be reused to store the new matrix values.
290 
291     Level: beginner
292 
293    Any additions/changes here MUST also be made in include/finclude/petscmat.h
294 
295 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices()
296 E*/
297 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse;
298 EXTERN int MatGetSubMatrices(Mat,int,IS *,IS *,MatReuse,Mat **);
299 EXTERN int MatDestroyMatrices(int,Mat **);
300 EXTERN int MatGetSubMatrix(Mat,IS,IS,int,MatReuse,Mat *);
301 
302 EXTERN int MatIncreaseOverlap(Mat,int,IS *,int);
303 
304 EXTERN int MatAXPY(Scalar *,Mat,Mat);
305 EXTERN int MatAYPX(Scalar *,Mat,Mat);
306 EXTERN int MatCompress(Mat);
307 
308 EXTERN int MatScale(Scalar *,Mat);
309 EXTERN int MatShift(Scalar *,Mat);
310 
311 EXTERN int MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
312 EXTERN int MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
313 EXTERN int MatZeroRowsLocal(Mat,IS,Scalar*);
314 EXTERN int MatSetValuesLocal(Mat,int,int*,int,int*,Scalar*,InsertMode);
315 EXTERN int MatSetValuesBlockedLocal(Mat,int,int*,int,int*,Scalar*,InsertMode);
316 
317 EXTERN int MatSetStashInitialSize(Mat,int,int);
318 
319 EXTERN int MatInterpolateAdd(Mat,Vec,Vec,Vec);
320 EXTERN int MatInterpolate(Mat,Vec,Vec);
321 EXTERN int MatRestrict(Mat,Vec,Vec);
322 
323 /*
324       These three (or four) macros MUST be used together. The third one closes the open { of the first one
325 */
326 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
327 { \
328   int __ierr,__tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
329   __ierr = PetscMalloc(2*__tmp*sizeof(int),&dnz);CHKERRQ(__ierr);onz = dnz + __tmp;\
330   __ierr = PetscMemzero(dnz,2*__tmp*sizeof(int));CHKERRQ(__ierr);\
331   __ierr = MPI_Scan(&__ctmp,&__end,1,MPI_INT,MPI_SUM,comm);CHKERRQ(__ierr); __start = __end - __ctmp;\
332   __ierr = MPI_Scan(&__tmp,&__rstart,1,MPI_INT,MPI_SUM,comm);CHKERRQ(__ierr); __rstart = __rstart - __tmp;
333 
334 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
335 {\
336   int __l;\
337   __ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(__ierr);\
338   __ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(__ierr);\
339   for (__l=0;__l<nrows;__l++) {\
340     __ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(__ierr);\
341   }\
342 }
343 
344 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
345 { int __i; \
346   for (__i=0; __i<nc; __i++) {\
347     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
348   }\
349   dnz[row - __rstart] = nc - onz[row - __rstart];\
350 }
351 
352 #define MatPreallocateFinalize(dnz,onz) 0;__ierr = PetscFree(dnz);CHKERRQ(__ierr);}
353 
354 /* Routines unique to particular data structures */
355 EXTERN int MatShellGetContext(Mat,void **);
356 
357 EXTERN int MatBDiagGetData(Mat,int*,int*,int**,int**,Scalar***);
358 EXTERN int MatSeqAIJSetColumnIndices(Mat,int *);
359 EXTERN int MatSeqBAIJSetColumnIndices(Mat,int *);
360 EXTERN int MatCreateSeqAIJWithArrays(MPI_Comm,int,int,int*,int*,Scalar *,Mat*);
361 
362 EXTERN int MatSeqBAIJSetPreallocation(Mat,int,int,int*);
363 EXTERN int MatSeqSBAIJSetPreallocation(Mat,int,int,int*);
364 EXTERN int MatSeqAIJSetPreallocation(Mat,int,int*);
365 EXTERN int MatSeqDensePreallocation(Mat,Scalar*);
366 EXTERN int MatSeqBDiagSetPreallocation(Mat,int,int,int*,Scalar**);
367 EXTERN int MatSeqDenseSetPreallocation(Mat,Scalar*);
368 
369 EXTERN int MatMPIBAIJSetPreallocation(Mat,int,int,int*,int,int*);
370 EXTERN int MatMPISBAIJSetPreallocation(Mat,int,int,int*,int,int*);
371 EXTERN int MatMPIAIJSetPreallocation(Mat,int,int*,int,int*);
372 EXTERN int MatMPIDensePreallocation(Mat,Scalar*);
373 EXTERN int MatMPIBDiagSetPreallocation(Mat,int,int,int*,Scalar**);
374 EXTERN int MatMPIAdjSetPreallocation(Mat,int*,int*,int*);
375 EXTERN int MatMPIDenseSetPreallocation(Mat,Scalar*);
376 EXTERN int MatMPIRowbsSetPreallocation(Mat,int,int*);
377 EXTERN int MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,int**);
378 EXTERN int MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,int**);
379 EXTERN int MatAdicSetLocalFunction(Mat,void (*)(void));
380 
381 EXTERN int MatStoreValues(Mat);
382 EXTERN int MatRetrieveValues(Mat);
383 
384 EXTERN int MatDAADSetCtx(Mat,void*);
385 
386 /*
387   These routines are not usually accessed directly, rather solving is
388   done through the SLES, KSP and PC interfaces.
389 */
390 
391 /*E
392     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
393        with an optional dynamic library name, for example
394        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
395 
396    Level: beginner
397 
398 .seealso: MatGetOrdering()
399 E*/
400 typedef char* MatOrderingType;
401 #define MATORDERING_NATURAL   "natural"
402 #define MATORDERING_ND        "nd"
403 #define MATORDERING_1WD       "1wd"
404 #define MATORDERING_RCM       "rcm"
405 #define MATORDERING_QMD       "qmd"
406 #define MATORDERING_ROWLENGTH "rowlength"
407 #define MATORDERING_DSC_ND    "dsc_nd"
408 #define MATORDERING_DSC_MMD   "dsc_mmd"
409 #define MATORDERING_DSC_MDF   "dsc_mdf"
410 
411 EXTERN int MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
412 EXTERN int MatOrderingRegister(char*,char*,char*,int(*)(Mat,MatOrderingType,IS*,IS*));
413 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
414 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
415 #else
416 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
417 #endif
418 EXTERN int        MatOrderingRegisterDestroy(void);
419 EXTERN int        MatOrderingRegisterAll(char*);
420 extern PetscTruth MatOrderingRegisterAllCalled;
421 extern PetscFList      MatOrderingList;
422 
423 EXTERN int MatReorderForNonzeroDiagonal(Mat,double,IS,IS);
424 
425 EXTERN int MatCholeskyFactor(Mat,IS,double);
426 EXTERN int MatCholeskyFactorSymbolic(Mat,IS,double,Mat*);
427 EXTERN int MatCholeskyFactorNumeric(Mat,Mat*);
428 
429 /*S
430    MatILUInfo - Data based into the matrix ILU factorization routines
431 
432    In Fortran these are simply double precision arrays of size MAT_ILUINFO_SIZE
433 
434    Notes: These are not usually directly used by users, instead use the PC type of ILU
435           All entries are double precision.
436 
437    Level: developer
438 
439 .seealso: MatILUFactorSymbolic(), MatILUFactor(), MatLUInfo, MatCholeskyInfo
440 
441 S*/
442 typedef struct {
443   double     levels;         /* ILU(levels) */
444   double     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
445   double     diagonal_fill;  /* force diagonal to fill in if initially not filled */
446   double     dt;             /* drop tolerance */
447   double     dtcol;          /* tolerance for pivoting */
448   double     dtcount;        /* maximum nonzeros to be allowed per row */
449   double     damping;        /* scaling of identity added to matrix to prevent zero pivots */
450   double     damp;           /* if is 1.0 and factorization fails, damp until successful */
451 } MatILUInfo;
452 
453 /*S
454    MatLUInfo - Data based into the matrix LU factorization routines
455 
456    In Fortran these are simply double precision arrays of size MAT_LUINFO_SIZE
457 
458    Notes: These are not usually directly used by users, instead use the PC type of LU
459           All entries are double precision.
460 
461    Level: developer
462 
463 .seealso: MatLUFactorSymbolic(), MatILUInfo, MatCholeskyInfo
464 
465 S*/
466 typedef struct {
467   double     fill;    /* expected fill; nonzeros in factored matrix/nonzeros in original matrix */
468   double     dtcol;   /* tolerance for pivoting; pivot if off_diagonal*dtcol > diagonal */
469   double     damping; /* scaling of identity added to matrix to prevent zero pivots */
470   double     damp;    /* if this is 1.0 and factorization fails, damp until successful */
471 } MatLUInfo;
472 
473 /*S
474    MatCholeskyInfo - Data based into the matrix Cholesky factorization routines
475 
476    In Fortran these are simply double precision arrays of size MAT_CHOLESKYINFO_SIZE
477 
478    Notes: These are not usually directly used by users, instead use the PC type of Cholesky
479           All entries are double precision.
480 
481    Level: developer
482 
483 .seealso: MatCholeskyFactorSymbolic(), MatLUInfo, MatILUInfo
484 
485 S*/
486 typedef struct {
487   double     fill;    /* expected fill; nonzeros in factored matrix/nonzeros in original matrix */
488   double     damping; /* scaling of identity added to matrix to prevent zero pivots */
489   double     damp;    /* if this is 1.0 and factorization fails, damp until successful */
490 } MatCholeskyInfo;
491 
492 EXTERN int MatLUFactor(Mat,IS,IS,MatLUInfo*);
493 EXTERN int MatILUFactor(Mat,IS,IS,MatILUInfo*);
494 EXTERN int MatLUFactorSymbolic(Mat,IS,IS,MatLUInfo*,Mat*);
495 EXTERN int MatILUFactorSymbolic(Mat,IS,IS,MatILUInfo*,Mat*);
496 EXTERN int MatICCFactorSymbolic(Mat,IS,double,int,Mat*);
497 EXTERN int MatICCFactor(Mat,IS,double,int);
498 EXTERN int MatLUFactorNumeric(Mat,Mat*);
499 EXTERN int MatILUDTFactor(Mat,MatILUInfo*,IS,IS,Mat *);
500 
501 EXTERN int MatSolve(Mat,Vec,Vec);
502 EXTERN int MatForwardSolve(Mat,Vec,Vec);
503 EXTERN int MatBackwardSolve(Mat,Vec,Vec);
504 EXTERN int MatSolveAdd(Mat,Vec,Vec,Vec);
505 EXTERN int MatSolveTranspose(Mat,Vec,Vec);
506 EXTERN int MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
507 
508 EXTERN int MatSetUnfactored(Mat);
509 
510 /*  MatSORType may be bitwise ORd together, so do not change the numbers */
511 /*E
512     MatSORType - What type of (S)SOR to perform
513 
514     Level: beginner
515 
516    May be bitwise ORd together
517 
518    Any additions/changes here MUST also be made in include/finclude/petscmat.h
519 
520 .seealso: MatRelax()
521 E*/
522 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
523               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
524               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
525               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
526 EXTERN int MatRelax(Mat,Vec,double,MatSORType,double,int,Vec);
527 
528 /*
529     These routines are for efficiently computing Jacobians via finite differences.
530 */
531 
532 /*E
533     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
534        with an optional dynamic library name, for example
535        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
536 
537    Level: beginner
538 
539 .seealso: MatGetColoring()
540 E*/
541 typedef char* MatColoringType;
542 #define MATCOLORING_NATURAL "natural"
543 #define MATCOLORING_SL      "sl"
544 #define MATCOLORING_LF      "lf"
545 #define MATCOLORING_ID      "id"
546 
547 EXTERN int MatGetColoring(Mat,MatColoringType,ISColoring*);
548 EXTERN int MatColoringRegister(char*,char*,char*,int(*)(Mat,MatColoringType,ISColoring *));
549 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
550 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
551 #else
552 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
553 #endif
554 EXTERN int        MatColoringRegisterAll(char *);
555 extern PetscTruth MatColoringRegisterAllCalled;
556 EXTERN int        MatColoringRegisterDestroy(void);
557 EXTERN int        MatColoringPatch(Mat,int,int,int *,ISColoring*);
558 
559 #define MAT_FDCOLORING_COOKIE PETSC_COOKIE + 23
560 /*S
561      MatFDColoring - Object for computing a sparse Jacobian via finite differences
562         and coloring
563 
564    Level: beginner
565 
566   Concepts: coloring, sparse Jacobian, finite differences
567 
568 .seealso:  MatFDColoringCreate()
569 S*/
570 typedef struct _p_MatFDColoring *MatFDColoring;
571 
572 EXTERN int MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
573 EXTERN int MatFDColoringDestroy(MatFDColoring);
574 EXTERN int MatFDColoringView(MatFDColoring,PetscViewer);
575 EXTERN int MatFDColoringSetFunction(MatFDColoring,int (*)(void),void*);
576 EXTERN int MatFDColoringSetParameters(MatFDColoring,double,double);
577 EXTERN int MatFDColoringSetFrequency(MatFDColoring,int);
578 EXTERN int MatFDColoringGetFrequency(MatFDColoring,int*);
579 EXTERN int MatFDColoringSetFromOptions(MatFDColoring);
580 EXTERN int MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
581 EXTERN int MatFDColoringApplyTS(Mat,MatFDColoring,double,Vec,MatStructure*,void *);
582 EXTERN int MatFDColoringSetRecompute(MatFDColoring);
583 EXTERN int MatFDColoringSetF(MatFDColoring,Vec);
584 
585 /*
586     These routines are for partitioning matrices: currently used only
587   for adjacency matrix, MatCreateMPIAdj().
588 */
589 #define MATPARTITIONING_COOKIE PETSC_COOKIE + 25
590 
591 /*S
592      MatPartitioning - Object for managing the partitioning of a matrix or graph
593 
594    Level: beginner
595 
596   Concepts: partitioning
597 
598 .seealso:  MatParitioningCreate(), MatPartitioningType
599 S*/
600 typedef struct _p_MatPartitioning *MatPartitioning;
601 
602 /*E
603     MatPartitioningType - String with the name of a PETSc matrix partitioing or the creation function
604        with an optional dynamic library name, for example
605        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
606 
607    Level: beginner
608 
609 .seealso: MatPartitioingCreate(), MatPartitioning
610 E*/
611 typedef char* MatPartitioningType;
612 #define MATPARTITIONING_CURRENT  "current"
613 #define MATPARTITIONING_PARMETIS "parmetis"
614 
615 EXTERN int MatPartitioningCreate(MPI_Comm,MatPartitioning*);
616 EXTERN int MatPartitioningSetType(MatPartitioning,MatPartitioningType);
617 EXTERN int MatPartitioningSetAdjacency(MatPartitioning,Mat);
618 EXTERN int MatPartitioningSetVertexWeights(MatPartitioning,int*);
619 EXTERN int MatPartitioningApply(MatPartitioning,IS*);
620 EXTERN int MatPartitioningDestroy(MatPartitioning);
621 
622 EXTERN int MatPartitioningRegister(char*,char*,char*,int(*)(MatPartitioning));
623 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
624 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
625 #else
626 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
627 #endif
628 
629 EXTERN int        MatPartitioningRegisterAll(char *);
630 extern PetscTruth MatPartitioningRegisterAllCalled;
631 EXTERN int        MatPartitioningRegisterDestroy(void);
632 
633 EXTERN int MatPartitioningView(MatPartitioning,PetscViewer);
634 EXTERN int MatPartitioningSetFromOptions(MatPartitioning);
635 EXTERN int MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
636 
637 EXTERN int MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
638 
639 /*
640     If you add entries here you must also add them to finclude/petscmat.h
641 */
642 typedef enum { MATOP_SET_VALUES=0,
643                MATOP_GET_ROW=1,
644                MATOP_RESTORE_ROW=2,
645                MATOP_MULT=3,
646                MATOP_MULT_ADD=4,
647                MATOP_MULT_TRANSPOSE=5,
648                MATOP_MULT_TRANSPOSE_ADD=6,
649                MATOP_SOLVE=7,
650                MATOP_SOLVE_ADD=8,
651                MATOP_SOLVE_TRANSPOSE=9,
652                MATOP_SOLVE_TRANSPOSE_ADD=10,
653                MATOP_LUFACTOR=11,
654                MATOP_CHOLESKYFACTOR=12,
655                MATOP_RELAX=13,
656                MATOP_TRANSPOSE=14,
657                MATOP_GETINFO=15,
658                MATOP_EQUAL=16,
659                MATOP_GET_DIAGONAL=17,
660                MATOP_DIAGONAL_SCALE=18,
661                MATOP_NORM=19,
662                MATOP_ASSEMBLY_BEGIN=20,
663                MATOP_ASSEMBLY_END=21,
664                MATOP_COMPRESS=22,
665                MATOP_SET_OPTION=23,
666                MATOP_ZERO_ENTRIES=24,
667                MATOP_ZERO_ROWS=25,
668                MATOP_LUFACTOR_SYMBOLIC=26,
669                MATOP_LUFACTOR_NUMERIC=27,
670                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
671                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
672                MATOP_GET_SIZE=30,
673                MATOP_GET_LOCAL_SIZE=31,
674                MATOP_GET_OWNERSHIP_RANGE=32,
675                MATOP_ILUFACTOR_SYMBOLIC=33,
676                MATOP_ICCFACTOR_SYMBOLIC=34,
677                MATOP_GET_ARRAY=35,
678                MATOP_RESTORE_ARRAY=36,
679 
680                MATOP_CONVERT_SAME_TYPE=37,
681                MATOP_FORWARD_SOLVE=38,
682                MATOP_BACKWARD_SOLVE=39,
683                MATOP_ILUFACTOR=40,
684                MATOP_ICCFACTOR=41,
685                MATOP_AXPY=42,
686                MATOP_GET_SUBMATRICES=43,
687                MATOP_INCREASE_OVERLAP=44,
688                MATOP_GET_VALUES=45,
689                MATOP_COPY=46,
690                MATOP_PRINT_HELP=47,
691                MATOP_SCALE=48,
692                MATOP_SHIFT=49,
693                MATOP_DIAGONAL_SHIFT=50,
694                MATOP_ILUDT_FACTOR=51,
695                MATOP_GET_BLOCK_SIZE=52,
696                MATOP_GET_ROW_IJ=53,
697                MATOP_RESTORE_ROW_IJ=54,
698                MATOP_GET_COLUMN_IJ=55,
699                MATOP_RESTORE_COLUMN_IJ=56,
700                MATOP_FDCOLORING_CREATE=57,
701                MATOP_COLORING_PATCH=58,
702                MATOP_SET_UNFACTORED=59,
703                MATOP_PERMUTE=60,
704                MATOP_SET_VALUES_BLOCKED=61,
705                MATOP_DESTROY=250,
706                MATOP_VIEW=251
707              } MatOperation;
708 EXTERN int MatHasOperation(Mat,MatOperation,PetscTruth*);
709 EXTERN int MatShellSetOperation(Mat,MatOperation,void(*)());
710 EXTERN int MatShellGetOperation(Mat,MatOperation,void(**)());
711 EXTERN int MatShellSetContext(Mat,void*);
712 
713 /*
714    Codes for matrices stored on disk. By default they are
715  stored in a universal format. By changing the format with
716  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
717  be stored in a way natural for the matrix, for example dense matrices
718  would be stored as dense. Matrices stored this way may only be
719  read into matrices of the same time.
720 */
721 #define MATRIX_BINARY_FORMAT_DENSE -1
722 
723 /*
724      New matrix classes not yet distributed
725 */
726 /*
727     MatAIJIndices is a data structure for storing the nonzero location information
728   for sparse matrices. Several matrices with identical nonzero structure can share
729   the same MatAIJIndices.
730 */
731 typedef struct _p_MatAIJIndices* MatAIJIndices;
732 
733 EXTERN int MatCreateAIJIndices(int,int,int*,int*,PetscTruth,MatAIJIndices*);
734 EXTERN int MatCreateAIJIndicesEmpty(int,int,int*,PetscTruth,MatAIJIndices*);
735 EXTERN int MatAttachAIJIndices(MatAIJIndices,MatAIJIndices*);
736 EXTERN int MatDestroyAIJIndices(MatAIJIndices);
737 EXTERN int MatCopyAIJIndices(MatAIJIndices,MatAIJIndices*);
738 EXTERN int MatValidateAIJIndices(int,MatAIJIndices);
739 EXTERN int MatShiftAIJIndices(MatAIJIndices);
740 EXTERN int MatShrinkAIJIndices(MatAIJIndices);
741 EXTERN int MatTransposeAIJIndices(MatAIJIndices,MatAIJIndices*);
742 
743 EXTERN int MatCreateSeqCSN(MPI_Comm,int,int,int*,int,Mat*);
744 EXTERN int MatCreateSeqCSN_Single(MPI_Comm,int,int,int*,int,Mat*);
745 EXTERN int MatCreateSeqCSNWithPrecision(MPI_Comm,int,int,int*,int,ScalarPrecision,Mat*);
746 
747 EXTERN int MatCreateSeqCSNIndices(MPI_Comm,MatAIJIndices,int,Mat *);
748 EXTERN int MatCreateSeqCSNIndices_Single(MPI_Comm,MatAIJIndices,int,Mat *);
749 EXTERN int MatCreateSeqCSNIndicesWithPrecision(MPI_Comm,MatAIJIndices,int,ScalarPrecision,Mat *);
750 
751 EXTERN int MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
752 EXTERN int MatSeqAIJGetInodeSizes(Mat,int *,int *[],int *);
753 EXTERN int MatMPIRowbsGetColor(Mat,ISColoring *);
754 
755 /*S
756      MatNullSpace - Object that removes a null space from a vector, i.e.
757          orthogonalizes the vector to a subsapce
758 
759    Level: beginner
760 
761   Concepts: matrix; linear operator, null space
762 
763 .seealso:  MatNullSpaceCreate()
764 S*/
765 typedef struct _p_MatNullSpace* MatNullSpace;
766 
767 #define MATNULLSPACE_COOKIE    PETSC_COOKIE+17
768 
769 EXTERN int MatNullSpaceCreate(MPI_Comm,int,int,Vec *,MatNullSpace*);
770 EXTERN int MatNullSpaceDestroy(MatNullSpace);
771 EXTERN int MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
772 EXTERN int MatNullSpaceAttach(Mat,MatNullSpace);
773 EXTERN int MatNullSpaceTest(MatNullSpace,Mat);
774 
775 EXTERN int MatReorderingSeqSBAIJ(Mat A,IS isp);
776 EXTERN int MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
777 EXTERN int MatSeqSBAIJSetColumnIndices(Mat,int *);
778 
779 
780 EXTERN int MatCreateMAIJ(Mat,int,Mat*);
781 EXTERN int MatMAIJRedimension(Mat,int,Mat*);
782 EXTERN int MatMAIJGetAIJ(Mat,Mat*);
783 
784 EXTERN int MatMPIAdjSetValues(Mat,int*,int*,int*);
785 
786 EXTERN int MatComputeExplicitOperator(Mat,Mat*);
787 
788 #endif
789 
790 
791 
792