xref: /petsc/include/petscmat.h (revision e7deade306e2f3e4da23bfe01760d3115a130eb7)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATSEQAIJPTHREAD   "seqaijpthread"
36 #define MATAIJPTHREAD      "aijpthread"
37 #define MATMPIAIJ          "mpiaij"
38 #define MATAIJCRL          "aijcrl"
39 #define MATSEQAIJCRL       "seqaijcrl"
40 #define MATMPIAIJCRL       "mpiaijcrl"
41 #define MATAIJCUSP         "aijcusp"
42 #define MATSEQAIJCUSP      "seqaijcusp"
43 #define MATMPIAIJCUSP      "mpiaijcusp"
44 #define MATAIJCUSPARSE     "aijcusparse"
45 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
46 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
47 #define MATAIJVIENNACL     "aijviennacl"
48 #define MATSEQAIJVIENNACL  "seqaijviennacl"
49 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
50 #define MATAIJPERM         "aijperm"
51 #define MATSEQAIJPERM      "seqaijperm"
52 #define MATMPIAIJPERM      "mpiaijperm"
53 #define MATSHELL           "shell"
54 #define MATDENSE           "dense"
55 #define MATSEQDENSE        "seqdense"
56 #define MATMPIDENSE        "mpidense"
57 #define MATELEMENTAL       "elemental"
58 #define MATBAIJ            "baij"
59 #define MATSEQBAIJ         "seqbaij"
60 #define MATMPIBAIJ         "mpibaij"
61 #define MATMPIADJ          "mpiadj"
62 #define MATSBAIJ           "sbaij"
63 #define MATSEQSBAIJ        "seqsbaij"
64 #define MATMPISBAIJ        "mpisbaij"
65 #define MATSEQBSTRM        "seqbstrm"
66 #define MATMPIBSTRM        "mpibstrm"
67 #define MATBSTRM           "bstrm"
68 #define MATSEQSBSTRM       "seqsbstrm"
69 #define MATMPISBSTRM       "mpisbstrm"
70 #define MATSBSTRM          "sbstrm"
71 #define MATDAAD            "daad"
72 #define MATMFFD            "mffd"
73 #define MATNORMAL          "normal"
74 #define MATLRC             "lrc"
75 #define MATSCATTER         "scatter"
76 #define MATBLOCKMAT        "blockmat"
77 #define MATCOMPOSITE       "composite"
78 #define MATFFT             "fft"
79 #define MATFFTW            "fftw"
80 #define MATSEQCUFFT        "seqcufft"
81 #define MATTRANSPOSEMAT    "transpose"
82 #define MATSCHURCOMPLEMENT "schurcomplement"
83 #define MATPYTHON          "python"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 
90 /*J
91     MatSolverPackage - String with the name of a PETSc matrix solver type.
92 
93     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
94        SuperLU or SuperLU_Dist etc.
95 
96 
97    Level: beginner
98 
99 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
100 J*/
101 #define MatSolverPackage char*
102 #define MATSOLVERSUPERLU      "superlu"
103 #define MATSOLVERSUPERLU_DIST "superlu_dist"
104 #define MATSOLVERUMFPACK      "umfpack"
105 #define MATSOLVERCHOLMOD      "cholmod"
106 #define MATSOLVERESSL         "essl"
107 #define MATSOLVERLUSOL        "lusol"
108 #define MATSOLVERMUMPS        "mumps"
109 #define MATSOLVERPASTIX       "pastix"
110 #define MATSOLVERMATLAB       "matlab"
111 #define MATSOLVERPETSC        "petsc"
112 #define MATSOLVERBAS          "bas"
113 #define MATSOLVERCUSPARSE     "cusparse"
114 #define MATSOLVERBSTRM        "bstrm"
115 #define MATSOLVERSBSTRM       "sbstrm"
116 #define MATSOLVERELEMENTAL    "elemental"
117 #define MATSOLVERCLIQUE       "clique"
118 
119 /*E
120     MatFactorType - indicates what type of factorization is requested
121 
122     Level: beginner
123 
124    Any additions/changes here MUST also be made in include/finclude/petscmat.h
125 
126 .seealso: MatSolverPackage, MatGetFactor()
127 E*/
128 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
129 PETSC_EXTERN const char *const MatFactorTypes[];
130 
131 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
132 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
133 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
134 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
135 
136 /* Logging support */
137 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
138 PETSC_EXTERN PetscClassId MAT_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
145 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
146 
147 /*E
148     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
149      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
150      that the input matrix is to be replaced with the converted matrix.
151 
152     Level: beginner
153 
154    Any additions/changes here MUST also be made in include/finclude/petscmat.h
155 
156 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
157 E*/
158 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
159 
160 /*E
161     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
162      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
163 
164     Level: beginner
165 
166 .seealso: MatGetSeqNonzerostructure()
167 E*/
168 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
169 
170 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
171 
172 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
173 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
174 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
175 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
176 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
177 PETSC_EXTERN PetscErrorCode MatRegisterAll(void);
178 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
179 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
180 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
181 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
182 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
183 
184 PETSC_EXTERN PetscBool         MatRegisterAllCalled;
185 PETSC_EXTERN PetscFunctionList MatList;
186 PETSC_EXTERN PetscFunctionList MatColoringList;
187 PETSC_EXTERN PetscFunctionList MatPartitioningList;
188 PETSC_EXTERN PetscFunctionList MatCoarsenList;
189 
190 /*E
191     MatStructure - Indicates if two matrices have the same nonzero structure
192 
193     Level: beginner
194 
195    Any additions/changes here MUST also be made in include/finclude/petscmat.h
196 
197 .seealso: MatCopy(), MatAXPY()
198 E*/
199 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
200 
201 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
202 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
207 
208 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
209 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
211 
212 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
214 
215 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
217 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
218 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
219 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
220 
221 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
227 
228 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
230 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
232 
233 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
234 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
235 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
236 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
237 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
238 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
239 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
240 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
241 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
242 
243 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
244 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
245 
246 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
248 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
249 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
250 
251 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
252 
253 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
254 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
255 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
256 
257 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
258 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
259 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
260 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
261 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
262 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
263 
264 /* ------------------------------------------------------------*/
265 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
266 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
267 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
268 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
269 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
270 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
271 
272 /*S
273      MatStencil - Data structure (C struct) for storing information about a single row or
274         column of a matrix as indexed on an associated grid.
275 
276    Fortran usage is different, see MatSetValuesStencil() for details.
277 
278    Level: beginner
279 
280   Concepts: matrix; linear operator
281 
282 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
283 S*/
284 typedef struct {
285   PetscInt k,j,i,c;
286 } MatStencil;
287 
288 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
289 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
290 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
291 
292 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
293 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
294 
295 /*E
296     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
297      to continue to add values to it
298 
299     Level: beginner
300 
301 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
302 E*/
303 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
304 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
305 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
306 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
307 
308 
309 
310 /*E
311     MatOption - Options that may be set for a matrix and its behavior or storage
312 
313     Level: beginner
314 
315    Any additions/changes here MUST also be made in include/finclude/petscmat.h
316 
317    Developer Notes: Entries that are negative need not be called collectively by all processes.
318 
319 .seealso: MatSetOption()
320 E*/
321 typedef enum {MAT_OPTION_MIN = -8,
322               MAT_NEW_NONZERO_LOCATION_ERR = -7,
323               MAT_NO_OFF_PROC_ZERO_ROWS = -6,
324               MAT_NO_OFF_PROC_ENTRIES = -5,
325               MAT_UNUSED_NONZERO_LOCATION_ERR = -4,
326               MAT_NEW_NONZERO_ALLOCATION_ERR = -3,
327               MAT_ROW_ORIENTED = -2,
328               MAT_NEW_NONZERO_LOCATIONS = -1,
329               MAT_SYMMETRIC = 1,
330               MAT_STRUCTURALLY_SYMMETRIC = 2,
331               MAT_NEW_DIAGONALS = 3,
332               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
333               MAT_USE_HASH_TABLE = 5,
334               MAT_KEEP_NONZERO_PATTERN = 6,
335               MAT_IGNORE_ZERO_ENTRIES = 7,
336               MAT_USE_INODES = 8,
337               MAT_HERMITIAN = 9,
338               MAT_SYMMETRY_ETERNAL = 10,
339               MAT_DUMMY = 11,
340               MAT_IGNORE_LOWER_TRIANGULAR = 12,
341               MAT_ERROR_LOWER_TRIANGULAR = 13,
342               MAT_GETROW_UPPERTRIANGULAR = 14,
343               MAT_SPD = 15,
344               MAT_OPTION_MAX = 16} MatOption;
345 
346 PETSC_EXTERN const char *MatOptions[];
347 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
348 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
349 
350 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
351 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
352 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
353 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
354 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
355 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
356 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
357 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
358 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
359 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
360 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
361 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
362 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
363 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
364 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
365 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
366 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
367 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
368 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
369 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
370 
371 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
377 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
378 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
383 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
384 
385 /*E
386     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
387   its numerical values copied over or just its nonzero structure.
388 
389     Level: beginner
390 
391    Any additions/changes here MUST also be made in include/finclude/petscmat.h
392 
393 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
394 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
395 $                               have several matrices with the same nonzero pattern.
396 
397 .seealso: MatDuplicate()
398 E*/
399 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
400 
401 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
402 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
403 
404 
405 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
406 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
407 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
408 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
409 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
410 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
411 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
412 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
413 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
414 
415 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
416 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
417 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
418 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
419 
420 /*S
421      MatInfo - Context of matrix information, used with MatGetInfo()
422 
423    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
424 
425    Level: intermediate
426 
427   Concepts: matrix^nonzero information
428 
429 .seealso:  MatGetInfo(), MatInfoType
430 S*/
431 typedef struct {
432   PetscLogDouble block_size;                         /* block size */
433   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
434   PetscLogDouble memory;                             /* memory allocated */
435   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
436   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
437   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
438   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
439 } MatInfo;
440 
441 /*E
442     MatInfoType - Indicates if you want information about the local part of the matrix,
443      the entire parallel matrix or the maximum over all the local parts.
444 
445     Level: beginner
446 
447    Any additions/changes here MUST also be made in include/finclude/petscmat.h
448 
449 .seealso: MatGetInfo(), MatInfo
450 E*/
451 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
452 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
453 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
454 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
455 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
456 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
457 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
458 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
459 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
460 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
461 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
462 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
463 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
464 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
465 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
466 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
467 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
468 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
469 
470 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
471 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
472 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
473 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
474 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
475 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
476 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
477 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
478 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
479 
480 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
481 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
482 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
483 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
484 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
485 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
486 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
487 
488 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
489 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
490 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
491 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
492 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
493 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
494 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
495 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
496 
497 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
498 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
499 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
500 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
501 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
502 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
503 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
504 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
505 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
506 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
507 
508 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
509 
510 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
511 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
513 
514 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
517 
518 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
521 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
524 
525 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
528 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
531 
532 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
533 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
534 
535 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
536 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
537 
538 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
539 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
540 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
541 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
542 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
543 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
548 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
549 
550 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
551 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
552 
553 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
557 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
558 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
559 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
560 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
561 
562 /*MC
563    MatSetValue - Set a single entry into a matrix.
564 
565    Not collective
566 
567    Input Parameters:
568 +  m - the matrix
569 .  row - the row location of the entry
570 .  col - the column location of the entry
571 .  value - the value to insert
572 -  mode - either INSERT_VALUES or ADD_VALUES
573 
574    Notes:
575    For efficiency one should use MatSetValues() and set several or many
576    values simultaneously if possible.
577 
578    Level: beginner
579 
580 .seealso: MatSetValues(), MatSetValueLocal()
581 M*/
582 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
583 
584 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
585 
586 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
587 
588 /*MC
589    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
590        row in a matrix providing the data that one can use to correctly preallocate the matrix.
591 
592    Synopsis:
593    #include <petscmat.h>
594    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
595 
596    Collective on MPI_Comm
597 
598    Input Parameters:
599 +  comm - the communicator that will share the eventually allocated matrix
600 .  nrows - the number of LOCAL rows in the matrix
601 -  ncols - the number of LOCAL columns in the matrix
602 
603    Output Parameters:
604 +  dnz - the array that will be passed to the matrix preallocation routines
605 -  ozn - the other array passed to the matrix preallocation routines
606 
607    Level: intermediate
608 
609    Notes:
610     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
611 
612    Do not malloc or free dnz and onz, that is handled internally by these routines
613 
614    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
615 
616    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
617 
618   Concepts: preallocation^Matrix
619 
620 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
621           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
622 M*/
623 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
624 { \
625   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
626   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
627   __start = 0; __end = __start;                                         \
628   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
629   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
630 
631 /*MC
632    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
633        inserted using a local number of the rows and columns
634 
635    Synopsis:
636    #include <petscmat.h>
637    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
638 
639    Not Collective
640 
641    Input Parameters:
642 +  map - the row mapping from local numbering to global numbering
643 .  nrows - the number of rows indicated
644 .  rows - the indices of the rows
645 .  cmap - the column mapping from local to global numbering
646 .  ncols - the number of columns in the matrix
647 .  cols - the columns indicated
648 .  dnz - the array that will be passed to the matrix preallocation routines
649 -  ozn - the other array passed to the matrix preallocation routines
650 
651    Level: intermediate
652 
653    Notes:
654     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
655 
656    Do not malloc or free dnz and onz, that is handled internally by these routines
657 
658   Concepts: preallocation^Matrix
659 
660 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
661           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
662 M*/
663 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
664 {\
665   PetscInt __l;\
666   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
667   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
668   for (__l=0;__l<nrows;__l++) {\
669     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
670   }\
671 }
672 
673 /*MC
674    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
675        inserted using a local number of the rows and columns
676 
677    Synopsis:
678    #include <petscmat.h>
679    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
680 
681    Not Collective
682 
683    Input Parameters:
684 +  map - the mapping between local numbering and global numbering
685 .  nrows - the number of rows indicated
686 .  rows - the indices of the rows
687 .  ncols - the number of columns in the matrix
688 .  cols - the columns indicated
689 .  dnz - the array that will be passed to the matrix preallocation routines
690 -  ozn - the other array passed to the matrix preallocation routines
691 
692    Level: intermediate
693 
694    Notes:
695     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
696 
697    Do not malloc or free dnz and onz that is handled internally by these routines
698 
699   Concepts: preallocation^Matrix
700 
701 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
702           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
703 M*/
704 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
705 {\
706   PetscInt __l;\
707   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
708   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
709   for (__l=0;__l<nrows;__l++) {\
710     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
711   }\
712 }
713 
714 /*MC
715    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
716        inserted using a local number of the rows and columns
717 
718    Synopsis:
719    #include <petscmat.h>
720    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
721 
722    Not Collective
723 
724    Input Parameters:
725 +  row - the row
726 .  ncols - the number of columns in the matrix
727 -  cols - the columns indicated
728 
729    Output Parameters:
730 +  dnz - the array that will be passed to the matrix preallocation routines
731 -  ozn - the other array passed to the matrix preallocation routines
732 
733    Level: intermediate
734 
735    Notes:
736     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
737 
738    Do not malloc or free dnz and onz that is handled internally by these routines
739 
740    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
741 
742   Concepts: preallocation^Matrix
743 
744 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
745           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
746 M*/
747 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
748 { PetscInt __i; \
749   if (row < __rstart) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D less than first local row %D",row,__rstart);\
750   if (row >= __rstart+__nrows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D greater than last local row %D",row,__rstart+__nrows-1);\
751   for (__i=0; __i<nc; __i++) {\
752     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
753     else dnz[row - __rstart]++;\
754   }\
755 }
756 
757 /*MC
758    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
759        inserted using a local number of the rows and columns
760 
761    Synopsis:
762    #include <petscmat.h>
763    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
764 
765    Not Collective
766 
767    Input Parameters:
768 +  nrows - the number of rows indicated
769 .  rows - the indices of the rows
770 .  ncols - the number of columns in the matrix
771 .  cols - the columns indicated
772 .  dnz - the array that will be passed to the matrix preallocation routines
773 -  ozn - the other array passed to the matrix preallocation routines
774 
775    Level: intermediate
776 
777    Notes:
778     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
779 
780    Do not malloc or free dnz and onz that is handled internally by these routines
781 
782    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
783 
784   Concepts: preallocation^Matrix
785 
786 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
787           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
788 M*/
789 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
790 { PetscInt __i; \
791   for (__i=0; __i<nc; __i++) {\
792     if (cols[__i] >= __end) onz[row - __rstart]++; \
793     else if (cols[__i] >= row) dnz[row - __rstart]++;\
794   }\
795 }
796 
797 /*MC
798    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
799 
800    Synopsis:
801    #include <petscmat.h>
802    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
803 
804    Not Collective
805 
806    Input Parameters:
807 .  A - matrix
808 .  row - row where values exist (must be local to this process)
809 .  ncols - number of columns
810 .  cols - columns with nonzeros
811 .  dnz - the array that will be passed to the matrix preallocation routines
812 -  ozn - the other array passed to the matrix preallocation routines
813 
814    Level: intermediate
815 
816    Notes:
817     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
818 
819    Do not malloc or free dnz and onz that is handled internally by these routines
820 
821    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
822 
823   Concepts: preallocation^Matrix
824 
825 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
826           MatPreallocateSymmetricSetLocal()
827 M*/
828 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0;if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}
829 
830 
831 /*MC
832    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
833        row in a matrix providing the data that one can use to correctly preallocate the matrix.
834 
835    Synopsis:
836    #include <petscmat.h>
837    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
838 
839    Collective on MPI_Comm
840 
841    Input Parameters:
842 +  dnz - the array that was be passed to the matrix preallocation routines
843 -  ozn - the other array passed to the matrix preallocation routines
844 
845    Level: intermediate
846 
847    Notes:
848     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
849 
850    Do not malloc or free dnz and onz that is handled internally by these routines
851 
852    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
853 
854   Concepts: preallocation^Matrix
855 
856 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
857           MatPreallocateSymmetricSetLocal()
858 M*/
859 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
860 
861 /* Routines unique to particular data structures */
862 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
863 
864 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
865 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
866 
867 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
868 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
869 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
870 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
871 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
872 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
873 
874 #define MAT_SKIP_ALLOCATION -4
875 
876 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
877 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
878 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
879 
880 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
881 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
882 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
883 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
884 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
885 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
886 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
887 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
888 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
889 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
890 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
891 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
892 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
893 
894 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
895 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
896 
897 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
898 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
899 
900 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
901 
902 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
903 /*
904   These routines are not usually accessed directly, rather solving is
905   done through the KSP and PC interfaces.
906 */
907 
908 /*J
909     MatOrderingType - String with the name of a PETSc matrix ordering
910 
911    Level: beginner
912 
913 .seealso: MatGetOrdering()
914 J*/
915 typedef const char* MatOrderingType;
916 #define MATORDERINGNATURAL     "natural"
917 #define MATORDERINGND          "nd"
918 #define MATORDERING1WD         "1wd"
919 #define MATORDERINGRCM         "rcm"
920 #define MATORDERINGQMD         "qmd"
921 #define MATORDERINGROWLENGTH   "rowlength"
922 #define MATORDERINGWBM         "wbm"
923 #define MATORDERINGSPECTRAL    "spectral"
924 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
925 
926 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
927 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
928 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
929 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
930 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
931 PETSC_EXTERN PetscFunctionList MatOrderingList;
932 
933 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
934 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
935 
936 /*S
937     MatFactorShiftType - Numeric Shift.
938 
939    Level: beginner
940 
941 S*/
942 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
943 PETSC_EXTERN const char *const MatFactorShiftTypes[];
944 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
945 
946 /*S
947    MatFactorInfo - Data passed into the matrix factorization routines
948 
949    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
950 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
951 
952    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
953 
954       You can use MatFactorInfoInitialize() to set default values.
955 
956    Level: developer
957 
958 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
959           MatFactorInfoInitialize()
960 
961 S*/
962 typedef struct {
963   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
964   PetscReal     usedt;
965   PetscReal     dt;             /* drop tolerance */
966   PetscReal     dtcol;          /* tolerance for pivoting */
967   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
968   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
969   PetscReal     levels;         /* ICC/ILU(levels) */
970   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
971                                    factorization may be faster if do not pivot */
972   PetscReal     zeropivot;      /* pivot is called zero if less than this */
973   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
974   PetscReal     shiftamount;     /* how large the shift is */
975 } MatFactorInfo;
976 
977 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
978 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
979 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
980 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
981 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
982 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
983 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
984 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
985 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
986 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
987 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
988 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
989 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
990 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
991 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
992 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
993 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
994 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
995 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
996 
997 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
998 
999 /*E
1000     MatSORType - What type of (S)SOR to perform
1001 
1002     Level: beginner
1003 
1004    May be bitwise ORd together
1005 
1006    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1007 
1008    MatSORType may be bitwise ORd together, so do not change the numbers
1009 
1010 .seealso: MatSOR()
1011 E*/
1012 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1013               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1014               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1015               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1016 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1017 
1018 /*
1019     These routines are for efficiently computing Jacobians via finite differences.
1020 */
1021 
1022 /*S
1023      MatColoring - Object for managing the coloring of matrices.
1024 
1025    Level: beginner
1026 
1027   Concepts: matrix, coloring
1028 
1029 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1030 S*/
1031 typedef struct _p_MatColoring* MatColoring;
1032 /*J
1033     MatColoringType - String with the name of a PETSc matrix coloring
1034 
1035    Level: beginner
1036 
1037 .seealso: MatColoringSetType(), MatColoring
1038 J*/
1039 
1040 typedef const  char*           MatColoringType;
1041 #define MATCOLORINGJP      "jp"
1042 #define MATCOLORINGMIS     "mis"
1043 #define MATCOLORINGNATURAL "natural"
1044 #define MATCOLORINGSL      "sl"
1045 #define MATCOLORINGLF      "lf"
1046 #define MATCOLORINGID      "id"
1047 #define MATCOLORINGGREEDY  "greedy"
1048 
1049 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1050 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1051 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1052 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1053 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1054 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1055 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1056 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1057 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1058 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1059 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1060 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1061 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1062 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1063 
1064 /*S
1065      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1066         and coloring
1067 
1068    Level: beginner
1069 
1070   Concepts: coloring, sparse Jacobian, finite differences
1071 
1072 .seealso:  MatFDColoringCreate()
1073 S*/
1074 typedef struct _p_MatFDColoring* MatFDColoring;
1075 
1076 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1077 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1078 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1079 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1080 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1081 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1082 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1083 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1084 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1085 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1086 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1087 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1088 
1089 
1090 /*S
1091      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1092 
1093    Level: beginner
1094 
1095   Concepts: coloring, sparse matrix product
1096 
1097 .seealso:  MatTransposeColoringCreate()
1098 S*/
1099 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1100 
1101 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1102 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1103 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1104 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1105 
1106 /*
1107     These routines are for partitioning matrices: currently used only
1108   for adjacency matrix, MatCreateMPIAdj().
1109 */
1110 
1111 /*S
1112      MatPartitioning - Object for managing the partitioning of a matrix or graph
1113 
1114    Level: beginner
1115 
1116   Concepts: partitioning
1117 
1118 .seealso:  MatPartitioningCreate(), MatPartitioningType
1119 S*/
1120 typedef struct _p_MatPartitioning* MatPartitioning;
1121 
1122 /*J
1123     MatPartitioningType - String with the name of a PETSc matrix partitioning
1124 
1125    Level: beginner
1126 dm
1127 .seealso: MatPartitioningCreate(), MatPartitioning
1128 J*/
1129 typedef const char* MatPartitioningType;
1130 #define MATPARTITIONINGCURRENT  "current"
1131 #define MATPARTITIONINGSQUARE   "square"
1132 #define MATPARTITIONINGPARMETIS "parmetis"
1133 #define MATPARTITIONINGCHACO    "chaco"
1134 #define MATPARTITIONINGPARTY    "party"
1135 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1136 
1137 
1138 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1139 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1140 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1141 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1142 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1143 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1144 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1145 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1146 
1147 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1148 
1149 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1150 
1151 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1152 
1153 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1154 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1155 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1156 
1157 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1158 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1159 
1160 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1161 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1162 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1163 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1164 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1165 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1166 
1167 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1168 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1169 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1170 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1171 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1172 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1173 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1174 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1175 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1176 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1177 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1178 
1179 #define MP_PARTY_OPT "opt"
1180 #define MP_PARTY_LIN "lin"
1181 #define MP_PARTY_SCA "sca"
1182 #define MP_PARTY_RAN "ran"
1183 #define MP_PARTY_GBF "gbf"
1184 #define MP_PARTY_GCF "gcf"
1185 #define MP_PARTY_BUB "bub"
1186 #define MP_PARTY_DEF "def"
1187 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1188 #define MP_PARTY_HELPFUL_SETS "hs"
1189 #define MP_PARTY_KERNIGHAN_LIN "kl"
1190 #define MP_PARTY_NONE "no"
1191 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1192 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1193 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1194 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1195 
1196 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1197 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1198 
1199 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1200 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1201 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1202 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1203 
1204 /*
1205     These routines are for coarsening matrices:
1206 */
1207 
1208 /*S
1209      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1210 
1211    Level: beginner
1212 
1213   Concepts: coarsen
1214 
1215 .seealso:  MatCoarsenCreate), MatCoarsenType
1216 S*/
1217 typedef struct _p_MatCoarsen* MatCoarsen;
1218 
1219 /*J
1220     MatCoarsenType - String with the name of a PETSc matrix coarsen
1221 
1222    Level: beginner
1223 
1224 .seealso: MatCoarsenCreate(), MatCoarsen
1225 J*/
1226 typedef const char* MatCoarsenType;
1227 #define MATCOARSENMIS  "mis"
1228 #define MATCOARSENHEM  "hem"
1229 
1230 /* linked list for aggregates */
1231 typedef struct _PetscCDIntNd{
1232   struct _PetscCDIntNd *next;
1233   PetscInt             gid;
1234 }PetscCDIntNd;
1235 
1236 /* only used by node pool */
1237 typedef struct _PetscCDArrNd{
1238   struct _PetscCDArrNd *next;
1239   struct _PetscCDIntNd *array;
1240 }PetscCDArrNd;
1241 
1242 typedef struct _PetscCoarsenData{
1243   PetscCDArrNd pool_list;  /* node pool */
1244   PetscCDIntNd *new_node;
1245   PetscInt     new_left;
1246   PetscInt     chk_sz;
1247   PetscCDIntNd *extra_nodes;
1248   PetscCDIntNd **array;  /* Array of lists */
1249   PetscInt     size;
1250   Mat          mat;  /* cache a Mat for communication data */
1251 }PetscCoarsenData;
1252 
1253 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1254 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1255 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1256 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1257 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1258 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1259 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1260 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1261 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1262 
1263 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1264 
1265 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1266 
1267 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1268 
1269 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1270 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1271 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1272 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1273 
1274 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1275 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1276 
1277 /*
1278     If you add entries here you must also add them to finclude/petscmat.h
1279 */
1280 typedef enum { MATOP_SET_VALUES=0,
1281                MATOP_GET_ROW=1,
1282                MATOP_RESTORE_ROW=2,
1283                MATOP_MULT=3,
1284                MATOP_MULT_ADD=4,
1285                MATOP_MULT_TRANSPOSE=5,
1286                MATOP_MULT_TRANSPOSE_ADD=6,
1287                MATOP_SOLVE=7,
1288                MATOP_SOLVE_ADD=8,
1289                MATOP_SOLVE_TRANSPOSE=9,
1290                MATOP_SOLVE_TRANSPOSE_ADD=10,
1291                MATOP_LUFACTOR=11,
1292                MATOP_CHOLESKYFACTOR=12,
1293                MATOP_SOR=13,
1294                MATOP_TRANSPOSE=14,
1295                MATOP_GETINFO=15,
1296                MATOP_EQUAL=16,
1297                MATOP_GET_DIAGONAL=17,
1298                MATOP_DIAGONAL_SCALE=18,
1299                MATOP_NORM=19,
1300                MATOP_ASSEMBLY_BEGIN=20,
1301                MATOP_ASSEMBLY_END=21,
1302                MATOP_SET_OPTION=22,
1303                MATOP_ZERO_ENTRIES=23,
1304                MATOP_ZERO_ROWS=24,
1305                MATOP_LUFACTOR_SYMBOLIC=25,
1306                MATOP_LUFACTOR_NUMERIC=26,
1307                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1308                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1309                MATOP_SETUP_PREALLOCATION=29,
1310                MATOP_ILUFACTOR_SYMBOLIC=30,
1311                MATOP_ICCFACTOR_SYMBOLIC=31,
1312                /* MATOP_PLACEHOLDER_32=32, */
1313                /* MATOP_PLACEHOLDER_33=33, */
1314                MATOP_DUPLICATE=34,
1315                MATOP_FORWARD_SOLVE=35,
1316                MATOP_BACKWARD_SOLVE=36,
1317                MATOP_ILUFACTOR=37,
1318                MATOP_ICCFACTOR=38,
1319                MATOP_AXPY=39,
1320                MATOP_GET_SUBMATRICES=40,
1321                MATOP_INCREASE_OVERLAP=41,
1322                MATOP_GET_VALUES=42,
1323                MATOP_COPY=43,
1324                MATOP_GET_ROW_MAX=44,
1325                MATOP_SCALE=45,
1326                MATOP_SHIFT=46,
1327                MATOP_DIAGONAL_SET=47,
1328                MATOP_ZERO_ROWS_COLUMNS=48,
1329                MATOP_SET_RANDOM=49,
1330                MATOP_GET_ROW_IJ=50,
1331                MATOP_RESTORE_ROW_IJ=51,
1332                MATOP_GET_COLUMN_IJ=52,
1333                MATOP_RESTORE_COLUMN_IJ=53,
1334                MATOP_FDCOLORING_CREATE=54,
1335                MATOP_COLORING_PATCH=55,
1336                MATOP_SET_UNFACTORED=56,
1337                MATOP_PERMUTE=57,
1338                MATOP_SET_VALUES_BLOCKED=58,
1339                MATOP_GET_SUBMATRIX=59,
1340                MATOP_DESTROY=60,
1341                MATOP_VIEW=61,
1342                MATOP_CONVERT_FROM=62,
1343                MATOP_MATMAT_MULT=63,
1344                MATOP_MATMAT_MULT_SYMBOLIC=64,
1345                MATOP_MATMAT_MULT_NUMERIC=65,
1346                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1347                MATOP_SET_VALUES_LOCAL=67,
1348                MATOP_ZERO_ROWS_LOCAL=68,
1349                MATOP_GET_ROW_MAX_ABS=69,
1350                MATOP_GET_ROW_MIN_ABS=70,
1351                MATOP_CONVERT=71,
1352                MATOP_SET_COLORING=72,
1353                /* MATOP_PLACEHOLDER_73=73, */
1354                MATOP_SET_VALUES_ADIFOR=74,
1355                MATOP_FD_COLORING_APPLY=75,
1356                MATOP_SET_FROM_OPTIONS=76,
1357                MATOP_MULT_CONSTRAINED=77,
1358                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1359                MATOP_FIND_ZERO_DIAGONALS=79,
1360                MATOP_MULT_MULTIPLE=80,
1361                MATOP_SOLVE_MULTIPLE=81,
1362                MATOP_GET_INERTIA=82,
1363                MATOP_LOAD=83,
1364                MATOP_IS_SYMMETRIC=84,
1365                MATOP_IS_HERMITIAN=85,
1366                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1367                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1368                MATOP_GET_VECS=88,
1369                MATOP_MAT_MULT=89,
1370                MATOP_MAT_MULT_SYMBOLIC=90,
1371                MATOP_MAT_MULT_NUMERIC=91,
1372                MATOP_PTAP=92,
1373                MATOP_PTAP_SYMBOLIC=93,
1374                MATOP_PTAP_NUMERIC=94,
1375                MATOP_MAT_TRANSPOSE_MULT=95,
1376                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1377                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1378                /* MATOP_PLACEHOLDER_98=98, */
1379                /* MATOP_PLACEHOLDER_99=99, */
1380                /* MATOP_PLACEHOLDER_100=100, */
1381                /* MATOP_PLACEHOLDER_101=101, */
1382                MATOP_CONJUGATE=102,
1383                /* MATOP_PLACEHOLDER_103=103, */
1384                MATOP_SET_VALUES_ROW=104,
1385                MATOP_REAL_PART=105,
1386                MATOP_IMAGINARY_PART=106,
1387                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1388                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1389                MATOP_MAT_SOLVE=109,
1390                MATOP_GET_REDUNDANT_MATRIX=110,
1391                MATOP_GET_ROW_MIN=111,
1392                MATOP_GET_COLUMN_VECTOR=112,
1393                MATOP_MISSING_DIAGONAL=113,
1394                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1395                MATOP_CREATE=115,
1396                MATOP_GET_GHOSTS=116,
1397                MATOP_GET_LOCAL_SUB_MATRIX=117,
1398                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1399                MATOP_MULT_DIAGONAL_BLOCK=119,
1400                MATOP_HERMITIAN_TRANSPOSE=120,
1401                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1402                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1403                MATOP_GET_MULTI_PROC_BLOCK=123,
1404                MATOP_FIND_NONZERO_ROWS=124,
1405                MATOP_GET_COLUMN_NORMS=125,
1406                MATOP_INVERT_BLOCK_DIAGONAL=126,
1407                /* MATOP_PLACEHOLDER_127=127, */
1408                MATOP_GET_SUB_MATRICES_PARALLE=128,
1409                MATOP_SET_VALUES_BATCH=129,
1410                MATOP_TRANSPOSE_MAT_MULT=130,
1411                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1412                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1413                MATOP_TRANSPOSE_COLORING_CREAT=133,
1414                MATOP_TRANS_COLORING_APPLY_SPT=134,
1415                MATOP_TRANS_COLORING_APPLY_DEN=135,
1416                MATOP_RART=136,
1417                MATOP_RART_SYMBOLIC=137,
1418                MATOP_RART_NUMERIC=138,
1419                MATOP_SET_BLOCK_SIZES=139,
1420                MATOP_AYPX=140,
1421                MATOP_RESIDUAL=141,
1422                MATOP_FDCOLORING_SETUP= 142
1423              } MatOperation;
1424 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1425 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1426 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1427 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1428 
1429 /*
1430    Codes for matrices stored on disk. By default they are
1431    stored in a universal format. By changing the format with
1432    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1433    be stored in a way natural for the matrix, for example dense matrices
1434    would be stored as dense. Matrices stored this way may only be
1435    read into matrices of the same type.
1436 */
1437 #define MATRIX_BINARY_FORMAT_DENSE -1
1438 
1439 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1440 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1441 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1442 
1443 /*S
1444      MatNullSpace - Object that removes a null space from a vector, i.e.
1445          orthogonalizes the vector to a subsapce
1446 
1447    Level: advanced
1448 
1449   Concepts: matrix; linear operator, null space
1450 
1451   Users manual sections:
1452 .   sec_singular
1453 
1454 .seealso:  MatNullSpaceCreate()
1455 S*/
1456 typedef struct _p_MatNullSpace* MatNullSpace;
1457 
1458 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1459 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1460 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1461 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1462 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1463 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1464 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1465 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1466 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1467 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1468 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1469 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1470 
1471 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1472 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1473 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1474 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1475 
1476 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1477 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1478 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1479 
1480 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1481 
1482 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1483 
1484 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1485 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1486 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1487 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1488 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1489 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1490 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1491 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1492 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1493 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1494 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1495 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1496 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1497 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1498 
1499 /*S
1500     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1501               Jacobian vector products
1502 
1503     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1504 
1505            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1506 
1507     Level: developer
1508 
1509 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1510 S*/
1511 typedef struct _p_MatMFFD* MatMFFD;
1512 
1513 /*J
1514     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1515 
1516    Level: beginner
1517 
1518 .seealso: MatMFFDSetType(), MatMFFDRegister()
1519 J*/
1520 typedef const char* MatMFFDType;
1521 #define MATMFFD_DS  "ds"
1522 #define MATMFFD_WP  "wp"
1523 
1524 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1525 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1526 
1527 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1528 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1529 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1530 
1531 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1532 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1533 
1534 /*
1535    PETSc interface to MUMPS
1536 */
1537 #ifdef PETSC_HAVE_MUMPS
1538 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1539 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1540 #endif
1541 
1542 /*
1543    PETSc interface to SUPERLU
1544 */
1545 #ifdef PETSC_HAVE_SUPERLU
1546 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1547 #endif
1548 
1549 #ifdef PETSC_HAVE_CUDA
1550 /*E
1551     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1552     matrices.
1553 
1554     Not Collective
1555 
1556 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1557 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1558 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1559 
1560     Level: intermediate
1561 
1562    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1563 
1564 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1565 E*/
1566 
1567 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1568 
1569 /* these will be strings associated with enumerated type defined above */
1570 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1571 
1572 /*E
1573     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1574     matrices whose operation should use a particular storage format.
1575 
1576     Not Collective
1577 
1578 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1579 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1580 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1581 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1582 
1583     Level: intermediate
1584 
1585 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1586 E*/
1587 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1588 
1589 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1590 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1591 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1592 #endif
1593 
1594 #if defined(PETSC_HAVE_CUSP)
1595 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1596 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1597 
1598 /*E
1599     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1600     matrices.
1601 
1602     Not Collective
1603 
1604 +   MAT_CUSP_CSR - Compressed Sparse Row
1605 .   MAT_CUSP_DIA - Diagonal
1606 -   MAT_CUSP_ELL - Ellpack
1607 
1608     Level: intermediate
1609 
1610    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1611 
1612 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1613 E*/
1614 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1615 
1616 /* these will be strings associated with enumerated type defined above */
1617 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1618 
1619 /*E
1620     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1621     matrices whose operation should use a particular storage format.
1622 
1623     Not Collective
1624 
1625 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1626 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1627 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1628 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1629 
1630     Level: intermediate
1631 
1632    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1633 
1634 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1635 E*/
1636 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1637 
1638 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1639 #endif
1640 
1641 #if defined(PETSC_HAVE_VIENNACL)
1642 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1643 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1644 #endif
1645 
1646 /*
1647    PETSc interface to FFTW
1648 */
1649 #if defined(PETSC_HAVE_FFTW)
1650 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1651 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1652 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1653 #endif
1654 
1655 #if defined(PETSC_HAVE_ELEMENTAL)
1656 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1657 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1658 #endif
1659 
1660 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1661 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1662 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1663 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1664 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1665 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1666 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1667 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1668 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1669 
1670 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1671 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1672 
1673 #endif
1674