xref: /petsc/include/petscmat.h (revision 9b2437101ac1db3c201d7be9c485cbee0b1dde4b)
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 MATMPIAIJ          "mpiaij"
36 #define MATAIJCRL          "aijcrl"
37 #define MATSEQAIJCRL       "seqaijcrl"
38 #define MATMPIAIJCRL       "mpiaijcrl"
39 #define MATAIJCUSP         "aijcusp"
40 #define MATSEQAIJCUSP      "seqaijcusp"
41 #define MATMPIAIJCUSP      "mpiaijcusp"
42 #define MATAIJCUSPARSE     "aijcusparse"
43 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
44 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
45 #define MATAIJVIENNACL     "aijviennacl"
46 #define MATSEQAIJVIENNACL  "seqaijviennacl"
47 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
48 #define MATAIJPERM         "aijperm"
49 #define MATSEQAIJPERM      "seqaijperm"
50 #define MATMPIAIJPERM      "mpiaijperm"
51 #define MATSHELL           "shell"
52 #define MATDENSE           "dense"
53 #define MATSEQDENSE        "seqdense"
54 #define MATMPIDENSE        "mpidense"
55 #define MATELEMENTAL       "elemental"
56 #define MATBAIJ            "baij"
57 #define MATSEQBAIJ         "seqbaij"
58 #define MATMPIBAIJ         "mpibaij"
59 #define MATMPIADJ          "mpiadj"
60 #define MATSBAIJ           "sbaij"
61 #define MATSEQSBAIJ        "seqsbaij"
62 #define MATMPISBAIJ        "mpisbaij"
63 #define MATDAAD            "daad"
64 #define MATMFFD            "mffd"
65 #define MATNORMAL          "normal"
66 #define MATNORMALHERMITIAN "normalh"
67 #define MATLRC             "lrc"
68 #define MATSCATTER         "scatter"
69 #define MATBLOCKMAT        "blockmat"
70 #define MATCOMPOSITE       "composite"
71 #define MATFFT             "fft"
72 #define MATFFTW            "fftw"
73 #define MATSEQCUFFT        "seqcufft"
74 #define MATTRANSPOSEMAT    "transpose"
75 #define MATSCHURCOMPLEMENT "schurcomplement"
76 #define MATPYTHON          "python"
77 #define MATHYPRE           "hypre"
78 #define MATHYPRESTRUCT     "hyprestruct"
79 #define MATHYPRESSTRUCT    "hypresstruct"
80 #define MATSUBMATRIX       "submatrix"
81 #define MATLOCALREF        "localref"
82 #define MATNEST            "nest"
83 #define MATPREALLOCATOR    "preallocator"
84 
85 /*J
86     MatSolverPackage - String with the name of a PETSc matrix solver type.
87 
88     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
89 
90    Level: beginner
91 
92 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
93 J*/
94 #define MatSolverPackage char*
95 #define MATSOLVERSUPERLU      "superlu"
96 #define MATSOLVERSUPERLU_DIST "superlu_dist"
97 #define MATSOLVERSTRUMPACK    "strumpack"
98 #define MATSOLVERUMFPACK      "umfpack"
99 #define MATSOLVERCHOLMOD      "cholmod"
100 #define MATSOLVERKLU          "klu"
101 #define MATSOLVERCLIQUE       "clique"
102 #define MATSOLVERELEMENTAL    "elemental"
103 #define MATSOLVERESSL         "essl"
104 #define MATSOLVERLUSOL        "lusol"
105 #define MATSOLVERMUMPS        "mumps"
106 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
107 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
108 #define MATSOLVERPASTIX       "pastix"
109 #define MATSOLVERMATLAB       "matlab"
110 #define MATSOLVERPETSC        "petsc"
111 #define MATSOLVERBAS          "bas"
112 #define MATSOLVERCUSPARSE     "cusparse"
113 
114 /*E
115     MatFactorType - indicates what type of factorization is requested
116 
117     Level: beginner
118 
119    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
120 
121 .seealso: MatSolverPackage, MatGetFactor()
122 E*/
123 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
124 PETSC_EXTERN const char *const MatFactorTypes[];
125 
126 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
127 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
128 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
129 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
130 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
131 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
132 
133 /* Logging support */
134 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
135 PETSC_EXTERN PetscClassId MAT_CLASSID;
136 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
142 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
143 
144 /*E
145     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
146      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
147      that the input matrix is to be replaced with the converted matrix.
148 
149     Level: beginner
150 
151    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
152 
153 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
154 E*/
155 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
156 
157 /*E
158     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
159      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
160 
161     Level: beginner
162 
163 .seealso: MatGetSeqNonzerostructure()
164 E*/
165 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
166 
167 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
168 
169 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
170 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
171 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
172 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
173 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
174 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
175 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
176 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
177 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
178 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
179 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
180 
181 PETSC_EXTERN PetscFunctionList MatList;
182 PETSC_EXTERN PetscFunctionList MatColoringList;
183 PETSC_EXTERN PetscFunctionList MatPartitioningList;
184 
185 /*E
186     MatStructure - Indicates if two matrices have the same nonzero structure
187 
188     Level: beginner
189 
190    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
191 
192 .seealso: MatCopy(), MatAXPY()
193 E*/
194 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
195 
196 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
197 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
198 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
199 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
200 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
201 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
202 
203 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
206 
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
208 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
209 
210 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
212 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
213 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
214 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
215 
216 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
219 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
220 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
224 
225 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
226 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
227 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
228 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
229 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
230 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
231 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
232 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
233 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
234 
235 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
236 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
237 
238 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
239 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
240 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
241 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
242 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
243 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
244 
245 #if defined(PETSC_HAVE_HYPRE)
246 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
247 #endif
248 
249 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
250 
251 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
252 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
253 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
254 
255 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
256 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
257 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
258 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
259 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
260 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
261 
262 /* ------------------------------------------------------------*/
263 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
264 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
265 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
266 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
267 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
268 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
269 
270 /*S
271      MatStencil - Data structure (C struct) for storing information about a single row or
272         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
273 
274    The i,j, and k represent the logical coordinates over the entire grid (for 2 and 1 dimensional problems the k and j entries are ignored).
275    The c represents the the degrees of freedom at each grid point (the dof argument to DMDASetDOF()). If dof is 1 then this entry is ignored.
276 
277    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
278 
279    Fortran usage is different, see MatSetValuesStencil() for details.
280 
281    Level: beginner
282 
283   Concepts: matrix; linear operator
284 
285 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
286 S*/
287 typedef struct {
288   PetscInt k,j,i,c;
289 } MatStencil;
290 
291 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
292 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
293 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
294 
295 /*E
296     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
297      to continue to add or insert 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/petsc/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 = -3,
322               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
323               MAT_ROW_ORIENTED = -1,
324               MAT_SYMMETRIC = 1,
325               MAT_STRUCTURALLY_SYMMETRIC = 2,
326               MAT_NEW_DIAGONALS = 3,
327               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
328               MAT_USE_HASH_TABLE = 5,
329               MAT_KEEP_NONZERO_PATTERN = 6,
330               MAT_IGNORE_ZERO_ENTRIES = 7,
331               MAT_USE_INODES = 8,
332               MAT_HERMITIAN = 9,
333               MAT_SYMMETRY_ETERNAL = 10,
334               MAT_NEW_NONZERO_LOCATION_ERR = 11,
335               MAT_IGNORE_LOWER_TRIANGULAR = 12,
336               MAT_ERROR_LOWER_TRIANGULAR = 13,
337               MAT_GETROW_UPPERTRIANGULAR = 14,
338               MAT_SPD = 15,
339               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
340               MAT_NO_OFF_PROC_ENTRIES = 17,
341               MAT_NEW_NONZERO_LOCATIONS = 18,
342               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
343               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
344               MAT_SUBMAT_SINGLEIS = 21,
345               MAT_OPTION_MAX = 22} MatOption;
346 
347 PETSC_EXTERN const char *MatOptions[];
348 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
349 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
350 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
351 
352 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
353 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
354 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
355 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
356 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
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 MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
361 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
362 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
363 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
365 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
366 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
367 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
368 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
369 
370 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
371 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
376 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
377 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
382 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
383 
384 /*E
385     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
386   its numerical values copied over or just its nonzero structure.
387 
388     Level: beginner
389 
390    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
391 
392 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
393 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
394 $                               have several matrices with the same nonzero pattern.
395 
396 .seealso: MatDuplicate()
397 E*/
398 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
399 
400 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
401 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
402 
403 
404 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
405 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
406 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
407 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
408 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
409 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
410 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
411 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
412 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
413 
414 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
415 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
416 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
417 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
418 
419 /*S
420      MatInfo - Context of matrix information, used with MatGetInfo()
421 
422    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
423 
424    Level: intermediate
425 
426   Concepts: matrix^nonzero information
427 
428 .seealso:  MatGetInfo(), MatInfoType
429 S*/
430 typedef struct {
431   PetscLogDouble block_size;                         /* block size */
432   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
433   PetscLogDouble memory;                             /* memory allocated */
434   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
435   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
436   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
437   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
438 } MatInfo;
439 
440 /*E
441     MatInfoType - Indicates if you want information about the local part of the matrix,
442      the entire parallel matrix or the maximum over all the local parts.
443 
444     Level: beginner
445 
446    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
447 
448 .seealso: MatGetInfo(), MatInfo
449 E*/
450 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
451 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
452 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
453 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
454 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
455 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
456 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
457 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
458 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
459 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
460 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
461 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
462 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
463 
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 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
470 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
471 
472 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
473 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
474 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
475 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
476 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
477 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
478 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
479 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
480 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
481 
482 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
483 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
484 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
485 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
486 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
487 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
488 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
489 
490 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
491 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
492 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
493 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
494 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
495 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
496 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
497 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
498 
499 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
500 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
501 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
502 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
503 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
504 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
505 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
506 
507 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
508 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
509 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
510 
511 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
514 
515 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
516 
517 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
520 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
523 
524 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
527 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
530 
531 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
532 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
533 
534 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
535 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
536 
537 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
538 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
539 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
540 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
541 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
542 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
543 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
545 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
546 
547 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
548 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
549 
550 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
552 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
554 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
555 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
556 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
557 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
558 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
559 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
560 
561 /*MC
562    MatSetValue - Set a single entry into a matrix.
563 
564    Not collective
565 
566    Synopsis:
567      #include <petscmat.h>
568      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
569 
570    Input Parameters:
571 +  m - the matrix
572 .  row - the row location of the entry
573 .  col - the column location of the entry
574 .  value - the value to insert
575 -  mode - either INSERT_VALUES or ADD_VALUES
576 
577    Notes:
578    For efficiency one should use MatSetValues() and set several or many
579    values simultaneously if possible.
580 
581    Level: beginner
582 
583 .seealso: MatSetValues(), MatSetValueLocal()
584 M*/
585 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
586 
587 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
588 
589 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
590 
591 /*MC
592    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
593        row in a matrix providing the data that one can use to correctly preallocate the matrix.
594 
595    Synopsis:
596    #include <petscmat.h>
597    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
598 
599    Collective on MPI_Comm
600 
601    Input Parameters:
602 +  comm - the communicator that will share the eventually allocated matrix
603 .  nrows - the number of LOCAL rows in the matrix
604 -  ncols - the number of LOCAL columns in the matrix
605 
606    Output Parameters:
607 +  dnz - the array that will be passed to the matrix preallocation routines
608 -  ozn - the other array passed to the matrix preallocation routines
609 
610    Level: intermediate
611 
612    Notes:
613     See Users-Manual: ch_performance for more details.
614 
615    Do not malloc or free dnz and onz, that is handled internally by these routines
616 
617    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
618 
619    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
620 
621   Concepts: preallocation^Matrix
622 
623 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
624           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
625 M*/
626 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
627 { \
628   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
629   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
630   __start = 0; __end = __start;                                         \
631   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
632   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
633 
634 /*MC
635    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
636        inserted using a local number of the rows and columns
637 
638    Synopsis:
639    #include <petscmat.h>
640    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
641 
642    Not Collective
643 
644    Input Parameters:
645 +  map - the row mapping from local numbering to global numbering
646 .  nrows - the number of rows indicated
647 .  rows - the indices of the rows
648 .  cmap - the column mapping from local to global numbering
649 .  ncols - the number of columns in the matrix
650 .  cols - the columns indicated
651 .  dnz - the array that will be passed to the matrix preallocation routines
652 -  ozn - the other array passed to the matrix preallocation routines
653 
654    Level: intermediate
655 
656    Notes:
657     See Users-Manual: ch_performance for more details.
658 
659    Do not malloc or free dnz and onz, that is handled internally by these routines
660 
661   Concepts: preallocation^Matrix
662 
663 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
664           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
665 M*/
666 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
667 {\
668   PetscInt __l;\
669   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
670   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
671   for (__l=0;__l<nrows;__l++) {\
672     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
673   }\
674 }
675 
676 /*MC
677    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
678        inserted using a local number of the rows and columns
679 
680    Synopsis:
681    #include <petscmat.h>
682    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
683 
684    Not Collective
685 
686    Input Parameters:
687 +  map - the row mapping from local numbering to global numbering
688 .  nrows - the number of rows indicated
689 .  rows - the indices of the rows
690 .  cmap - the column mapping from local to global numbering
691 .  ncols - the number of columns in the matrix
692 .  cols - the columns indicated
693 .  dnz - the array that will be passed to the matrix preallocation routines
694 -  ozn - the other array passed to the matrix preallocation routines
695 
696    Level: intermediate
697 
698    Notes:
699     See Users-Manual: ch_performance for more details.
700 
701    Do not malloc or free dnz and onz, that is handled internally by these routines
702 
703   Concepts: preallocation^Matrix
704 
705 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
706           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
707 M*/
708 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
709 {\
710   PetscInt __l;\
711   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
712   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
713   for (__l=0;__l<nrows;__l++) {\
714     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
715   }\
716 }
717 
718 /*MC
719    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
720        inserted using a local number of the rows and columns
721 
722    Synopsis:
723    #include <petscmat.h>
724    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
725 
726    Not Collective
727 
728    Input Parameters:
729 +  map - the mapping between local numbering and global numbering
730 .  nrows - the number of rows indicated
731 .  rows - the indices of the rows
732 .  ncols - the number of columns in the matrix
733 .  cols - the columns indicated
734 .  dnz - the array that will be passed to the matrix preallocation routines
735 -  ozn - the other array passed to the matrix preallocation routines
736 
737    Level: intermediate
738 
739    Notes:
740     See Users-Manual: ch_performance for more details.
741 
742    Do not malloc or free dnz and onz that is handled internally by these routines
743 
744   Concepts: preallocation^Matrix
745 
746 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
747           MatPreallocateInitialize(),  MatPreallocateSetLocal()
748 M*/
749 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
750 {\
751   PetscInt __l;\
752   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
753   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
754   for (__l=0;__l<nrows;__l++) {\
755     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
756   }\
757 }
758 /*MC
759    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
760        inserted using a local number of the rows and columns
761 
762    Synopsis:
763    #include <petscmat.h>
764    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
765 
766    Not Collective
767 
768    Input Parameters:
769 +  row - the row
770 .  ncols - the number of columns in the matrix
771 -  cols - the columns indicated
772 
773    Output Parameters:
774 +  dnz - the array that will be passed to the matrix preallocation routines
775 -  ozn - the other array passed to the matrix preallocation routines
776 
777    Level: intermediate
778 
779    Notes:
780     See Users-Manual: ch_performance for more details.
781 
782    Do not malloc or free dnz and onz that is handled internally by these routines
783 
784    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
785 
786   Concepts: preallocation^Matrix
787 
788 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
789           MatPreallocateInitialize(), MatPreallocateSetLocal()
790 M*/
791 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
792 { PetscInt __i; \
793   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);\
794   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);\
795   for (__i=0; __i<nc; __i++) {\
796     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
797     else dnz[row - __rstart]++;\
798   }\
799 }
800 
801 /*MC
802    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
803        inserted using a local number of the rows and columns
804 
805    Synopsis:
806    #include <petscmat.h>
807    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
808 
809    Not Collective
810 
811    Input Parameters:
812 +  nrows - the number of rows indicated
813 .  rows - the indices of the rows
814 .  ncols - the number of columns in the matrix
815 .  cols - the columns indicated
816 .  dnz - the array that will be passed to the matrix preallocation routines
817 -  ozn - the other array passed to the matrix preallocation routines
818 
819    Level: intermediate
820 
821    Notes:
822     See Users-Manual: ch_performance for more details.
823 
824    Do not malloc or free dnz and onz that is handled internally by these routines
825 
826    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
827 
828   Concepts: preallocation^Matrix
829 
830 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
831           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
832 M*/
833 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
834 { PetscInt __i; \
835   for (__i=0; __i<nc; __i++) {\
836     if (cols[__i] >= __end) onz[row - __rstart]++; \
837     else if (cols[__i] >= row) dnz[row - __rstart]++;\
838   }\
839 }
840 
841 /*MC
842    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
843 
844    Synopsis:
845    #include <petscmat.h>
846    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
847 
848    Not Collective
849 
850    Input Parameters:
851 .  A - matrix
852 .  row - row where values exist (must be local to this process)
853 .  ncols - number of columns
854 .  cols - columns with nonzeros
855 .  dnz - the array that will be passed to the matrix preallocation routines
856 -  ozn - the other array passed to the matrix preallocation routines
857 
858    Level: intermediate
859 
860    Notes:
861     See Users-Manual: ch_performance for more details.
862 
863    Do not malloc or free dnz and onz that is handled internally by these routines
864 
865    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
866 
867   Concepts: preallocation^Matrix
868 
869 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
870           MatPreallocateSymmetricSetLocalBlock()
871 M*/
872 #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);}
873 
874 
875 /*MC
876    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
877        row in a matrix providing the data that one can use to correctly preallocate the matrix.
878 
879    Synopsis:
880    #include <petscmat.h>
881    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
882 
883    Collective on MPI_Comm
884 
885    Input Parameters:
886 +  dnz - the array that was be passed to the matrix preallocation routines
887 -  ozn - the other array passed to the matrix preallocation routines
888 
889    Level: intermediate
890 
891    Notes:
892     See Users-Manual: ch_performance for more details.
893 
894    Do not malloc or free dnz and onz that is handled internally by these routines
895 
896    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
897 
898   Concepts: preallocation^Matrix
899 
900 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
901           MatPreallocateSymmetricSetLocalBlock()
902 M*/
903 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
904 
905 /* Routines unique to particular data structures */
906 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
907 
908 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
909 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
910 
911 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
912 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
913 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
914 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
915 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
916 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
917 
918 #define MAT_SKIP_ALLOCATION -4
919 
920 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
921 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
922 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
923 
924 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
925 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
926 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
927 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
928 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
929 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
930 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
931 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
933 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
934 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
935 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
936 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
937 
938 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
939 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
940 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
941 
942 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
943 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
944 
945 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
946 
947 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
948 /*
949   These routines are not usually accessed directly, rather solving is
950   done through the KSP and PC interfaces.
951 */
952 
953 /*J
954     MatOrderingType - String with the name of a PETSc matrix ordering
955 
956    Level: beginner
957 
958 .seealso: MatGetOrdering()
959 J*/
960 typedef const char* MatOrderingType;
961 #define MATORDERINGNATURAL     "natural"
962 #define MATORDERINGND          "nd"
963 #define MATORDERING1WD         "1wd"
964 #define MATORDERINGRCM         "rcm"
965 #define MATORDERINGQMD         "qmd"
966 #define MATORDERINGROWLENGTH   "rowlength"
967 #define MATORDERINGWBM         "wbm"
968 #define MATORDERINGSPECTRAL    "spectral"
969 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
970 
971 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
972 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
973 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
974 PETSC_EXTERN PetscFunctionList MatOrderingList;
975 
976 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
977 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
978 
979 /*S
980     MatFactorShiftType - Numeric Shift.
981 
982    Level: beginner
983 
984 S*/
985 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
986 PETSC_EXTERN const char *const MatFactorShiftTypes[];
987 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
988 
989 /*S
990     MatFactorError - indicates what type of error in matrix factor
991 
992     Level: beginner
993 
994     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
995 
996 .seealso: MatGetFactor()
997 S*/
998 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
999 
1000 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1001 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1002 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1003 
1004 /*S
1005    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1006 
1007    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1008 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1009 
1010    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1011 
1012       You can use MatFactorInfoInitialize() to set default values.
1013 
1014    Level: developer
1015 
1016 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1017           MatFactorInfoInitialize()
1018 
1019 S*/
1020 typedef struct {
1021   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1022   PetscReal     usedt;
1023   PetscReal     dt;             /* drop tolerance */
1024   PetscReal     dtcol;          /* tolerance for pivoting */
1025   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1026   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1027   PetscReal     levels;         /* ICC/ILU(levels) */
1028   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1029                                    factorization may be faster if do not pivot */
1030   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1031   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1032   PetscReal     shiftamount;     /* how large the shift is */
1033 } MatFactorInfo;
1034 
1035 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1037 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1038 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1039 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1040 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1041 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1042 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1043 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1044 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1045 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1046 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1047 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1048 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1049 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1050 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1051 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1052 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1053 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1054 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1055 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1056 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1057 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1058 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1059 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1060 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1061 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1062 
1063 /*E
1064     MatSORType - What type of (S)SOR to perform
1065 
1066     Level: beginner
1067 
1068    May be bitwise ORd together
1069 
1070    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1071 
1072    MatSORType may be bitwise ORd together, so do not change the numbers
1073 
1074 .seealso: MatSOR()
1075 E*/
1076 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1077               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1078               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1079               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1080 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1081 
1082 /*
1083     These routines are for efficiently computing Jacobians via finite differences.
1084 */
1085 
1086 /*S
1087      MatColoring - Object for managing the coloring of matrices.
1088 
1089    Level: beginner
1090 
1091   Concepts: matrix, coloring
1092 
1093 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1094 S*/
1095 typedef struct _p_MatColoring* MatColoring;
1096 /*J
1097     MatColoringType - String with the name of a PETSc matrix coloring
1098 
1099    Level: beginner
1100 
1101 .seealso: MatColoringSetType(), MatColoring
1102 J*/
1103 
1104 typedef const  char*           MatColoringType;
1105 #define MATCOLORINGJP      "jp"
1106 #define MATCOLORINGPOWER   "power"
1107 #define MATCOLORINGNATURAL "natural"
1108 #define MATCOLORINGSL      "sl"
1109 #define MATCOLORINGLF      "lf"
1110 #define MATCOLORINGID      "id"
1111 #define MATCOLORINGGREEDY  "greedy"
1112 
1113 /*E
1114    MatColoringWeightType - Type of weight scheme
1115 
1116     Not Collective
1117 
1118 +   MAT_COLORING_RANDOM  - Random weights
1119 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1120 -   MAT_COLORING_LF      - Last-first weighting.
1121 
1122     Level: intermediate
1123 
1124    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1125 
1126 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1127 E*/
1128 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1129 
1130 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1131 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1132 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1133 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1134 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1135 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1136 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1137 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1138 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1139 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1140 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1141 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1142 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1143 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1144 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1145 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1146 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1147 
1148 /*S
1149      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1150         and coloring
1151 
1152    Level: beginner
1153 
1154   Concepts: coloring, sparse Jacobian, finite differences
1155 
1156 .seealso:  MatFDColoringCreate()
1157 S*/
1158 typedef struct _p_MatFDColoring* MatFDColoring;
1159 
1160 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1161 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1162 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1163 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1164 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1165 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1166 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1167 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1168 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1169 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1170 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1171 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1172 
1173 
1174 /*S
1175      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1176 
1177    Level: beginner
1178 
1179   Concepts: coloring, sparse matrix product
1180 
1181 .seealso:  MatTransposeColoringCreate()
1182 S*/
1183 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1184 
1185 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1186 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1187 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1188 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1189 
1190 /*
1191     These routines are for partitioning matrices: currently used only
1192   for adjacency matrix, MatCreateMPIAdj().
1193 */
1194 
1195 /*S
1196      MatPartitioning - Object for managing the partitioning of a matrix or graph
1197 
1198    Level: beginner
1199 
1200   Concepts: partitioning
1201 
1202 .seealso:  MatPartitioningCreate(), MatPartitioningType
1203 S*/
1204 typedef struct _p_MatPartitioning* MatPartitioning;
1205 
1206 /*J
1207     MatPartitioningType - String with the name of a PETSc matrix partitioning
1208 
1209    Level: beginner
1210 dm
1211 .seealso: MatPartitioningCreate(), MatPartitioning
1212 J*/
1213 typedef const char* MatPartitioningType;
1214 #define MATPARTITIONINGCURRENT  "current"
1215 #define MATPARTITIONINGAVERAGE   "average"
1216 #define MATPARTITIONINGSQUARE   "square"
1217 #define MATPARTITIONINGPARMETIS "parmetis"
1218 #define MATPARTITIONINGCHACO    "chaco"
1219 #define MATPARTITIONINGPARTY    "party"
1220 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1221 #define MATPARTITIONINGHIERARCH  "hierarch"
1222 
1223 
1224 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1225 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1226 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1227 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1228 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1229 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1230 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1231 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1232 
1233 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1234 
1235 
1236 
1237 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1240 
1241 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1243 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1244 
1245 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1246 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1247 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1248 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1249 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1250 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1251 
1252 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1253 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1254 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1255 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1256 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1257 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1258 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1259 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1260 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1261 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1262 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1263 
1264 #define MP_PARTY_OPT "opt"
1265 #define MP_PARTY_LIN "lin"
1266 #define MP_PARTY_SCA "sca"
1267 #define MP_PARTY_RAN "ran"
1268 #define MP_PARTY_GBF "gbf"
1269 #define MP_PARTY_GCF "gcf"
1270 #define MP_PARTY_BUB "bub"
1271 #define MP_PARTY_DEF "def"
1272 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1273 #define MP_PARTY_HELPFUL_SETS "hs"
1274 #define MP_PARTY_KERNIGHAN_LIN "kl"
1275 #define MP_PARTY_NONE "no"
1276 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1277 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1278 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1279 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1280 
1281 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1282 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1283 
1284 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1286 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1287 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1288 
1289 /*
1290  * hierarchical partitioning
1291  */
1292 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1293 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1294 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1295 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1296 
1297 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1298 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1299 
1300 /*
1301     If you add entries here you must also add them to petsc/finclude/petscmat.h
1302 */
1303 typedef enum { MATOP_SET_VALUES=0,
1304                MATOP_GET_ROW=1,
1305                MATOP_RESTORE_ROW=2,
1306                MATOP_MULT=3,
1307                MATOP_MULT_ADD=4,
1308                MATOP_MULT_TRANSPOSE=5,
1309                MATOP_MULT_TRANSPOSE_ADD=6,
1310                MATOP_SOLVE=7,
1311                MATOP_SOLVE_ADD=8,
1312                MATOP_SOLVE_TRANSPOSE=9,
1313                MATOP_SOLVE_TRANSPOSE_ADD=10,
1314                MATOP_LUFACTOR=11,
1315                MATOP_CHOLESKYFACTOR=12,
1316                MATOP_SOR=13,
1317                MATOP_TRANSPOSE=14,
1318                MATOP_GETINFO=15,
1319                MATOP_EQUAL=16,
1320                MATOP_GET_DIAGONAL=17,
1321                MATOP_DIAGONAL_SCALE=18,
1322                MATOP_NORM=19,
1323                MATOP_ASSEMBLY_BEGIN=20,
1324                MATOP_ASSEMBLY_END=21,
1325                MATOP_SET_OPTION=22,
1326                MATOP_ZERO_ENTRIES=23,
1327                MATOP_ZERO_ROWS=24,
1328                MATOP_LUFACTOR_SYMBOLIC=25,
1329                MATOP_LUFACTOR_NUMERIC=26,
1330                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1331                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1332                MATOP_SETUP_PREALLOCATION=29,
1333                MATOP_ILUFACTOR_SYMBOLIC=30,
1334                MATOP_ICCFACTOR_SYMBOLIC=31,
1335                MATOP_GET_DIAGONAL_BLOCK=32,
1336                /* MATOP_PLACEHOLDER_33=33, */
1337                MATOP_DUPLICATE=34,
1338                MATOP_FORWARD_SOLVE=35,
1339                MATOP_BACKWARD_SOLVE=36,
1340                MATOP_ILUFACTOR=37,
1341                MATOP_ICCFACTOR=38,
1342                MATOP_AXPY=39,
1343                MATOP_GET_SUBMATRICES=40,
1344                MATOP_INCREASE_OVERLAP=41,
1345                MATOP_GET_VALUES=42,
1346                MATOP_COPY=43,
1347                MATOP_GET_ROW_MAX=44,
1348                MATOP_SCALE=45,
1349                MATOP_SHIFT=46,
1350                MATOP_DIAGONAL_SET=47,
1351                MATOP_ZERO_ROWS_COLUMNS=48,
1352                MATOP_SET_RANDOM=49,
1353                MATOP_GET_ROW_IJ=50,
1354                MATOP_RESTORE_ROW_IJ=51,
1355                MATOP_GET_COLUMN_IJ=52,
1356                MATOP_RESTORE_COLUMN_IJ=53,
1357                MATOP_FDCOLORING_CREATE=54,
1358                MATOP_COLORING_PATCH=55,
1359                MATOP_SET_UNFACTORED=56,
1360                MATOP_PERMUTE=57,
1361                MATOP_SET_VALUES_BLOCKED=58,
1362                MATOP_GET_SUBMATRIX=59,
1363                MATOP_DESTROY=60,
1364                MATOP_VIEW=61,
1365                MATOP_CONVERT_FROM=62,
1366                MATOP_MATMAT_MULT=63,
1367                MATOP_MATMAT_MULT_SYMBOLIC=64,
1368                MATOP_MATMAT_MULT_NUMERIC=65,
1369                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1370                MATOP_SET_VALUES_LOCAL=67,
1371                MATOP_ZERO_ROWS_LOCAL=68,
1372                MATOP_GET_ROW_MAX_ABS=69,
1373                MATOP_GET_ROW_MIN_ABS=70,
1374                MATOP_CONVERT=71,
1375                MATOP_SET_COLORING=72,
1376                /* MATOP_PLACEHOLDER_73=73, */
1377                MATOP_SET_VALUES_ADIFOR=74,
1378                MATOP_FD_COLORING_APPLY=75,
1379                MATOP_SET_FROM_OPTIONS=76,
1380                MATOP_MULT_CONSTRAINED=77,
1381                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1382                MATOP_FIND_ZERO_DIAGONALS=79,
1383                MATOP_MULT_MULTIPLE=80,
1384                MATOP_SOLVE_MULTIPLE=81,
1385                MATOP_GET_INERTIA=82,
1386                MATOP_LOAD=83,
1387                MATOP_IS_SYMMETRIC=84,
1388                MATOP_IS_HERMITIAN=85,
1389                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1390                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1391                MATOP_GET_VECS=88,
1392                MATOP_MAT_MULT=89,
1393                MATOP_MAT_MULT_SYMBOLIC=90,
1394                MATOP_MAT_MULT_NUMERIC=91,
1395                MATOP_PTAP=92,
1396                MATOP_PTAP_SYMBOLIC=93,
1397                MATOP_PTAP_NUMERIC=94,
1398                MATOP_MAT_TRANSPOSE_MULT=95,
1399                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1400                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1401                /* MATOP_PLACEHOLDER_98=98, */
1402                /* MATOP_PLACEHOLDER_99=99, */
1403                /* MATOP_PLACEHOLDER_100=100, */
1404                /* MATOP_PLACEHOLDER_101=101, */
1405                MATOP_CONJUGATE=102,
1406                /* MATOP_PLACEHOLDER_103=103, */
1407                MATOP_SET_VALUES_ROW=104,
1408                MATOP_REAL_PART=105,
1409                MATOP_IMAGINARY_PART=106,
1410                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1411                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1412                MATOP_MAT_SOLVE=109,
1413                MATOP_GET_REDUNDANT_MATRIX=110,
1414                MATOP_GET_ROW_MIN=111,
1415                MATOP_GET_COLUMN_VECTOR=112,
1416                MATOP_MISSING_DIAGONAL=113,
1417                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1418                MATOP_CREATE=115,
1419                MATOP_GET_GHOSTS=116,
1420                MATOP_GET_LOCAL_SUB_MATRIX=117,
1421                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1422                MATOP_MULT_DIAGONAL_BLOCK=119,
1423                MATOP_HERMITIAN_TRANSPOSE=120,
1424                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1425                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1426                MATOP_GET_MULTI_PROC_BLOCK=123,
1427                MATOP_FIND_NONZERO_ROWS=124,
1428                MATOP_GET_COLUMN_NORMS=125,
1429                MATOP_INVERT_BLOCK_DIAGONAL=126,
1430                /* MATOP_PLACEHOLDER_127=127, */
1431                MATOP_GET_SUB_MATRICES_PARALLE=128,
1432                MATOP_SET_VALUES_BATCH=129,
1433                MATOP_TRANSPOSE_MAT_MULT=130,
1434                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1435                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1436                MATOP_TRANSPOSE_COLORING_CREAT=133,
1437                MATOP_TRANS_COLORING_APPLY_SPT=134,
1438                MATOP_TRANS_COLORING_APPLY_DEN=135,
1439                MATOP_RART=136,
1440                MATOP_RART_SYMBOLIC=137,
1441                MATOP_RART_NUMERIC=138,
1442                MATOP_SET_BLOCK_SIZES=139,
1443                MATOP_AYPX=140,
1444                MATOP_RESIDUAL=141,
1445                MATOP_FDCOLORING_SETUP=142,
1446                MATOP_MPICONCATENATESEQ=144
1447              } MatOperation;
1448 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1449 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1450 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1451 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1452 
1453 /*
1454    Codes for matrices stored on disk. By default they are
1455    stored in a universal format. By changing the format with
1456    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1457    be stored in a way natural for the matrix, for example dense matrices
1458    would be stored as dense. Matrices stored this way may only be
1459    read into matrices of the same type.
1460 */
1461 #define MATRIX_BINARY_FORMAT_DENSE -1
1462 
1463 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1464 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1465 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1466 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1467 
1468 /*S
1469      MatNullSpace - Object that removes a null space from a vector, i.e.
1470          orthogonalizes the vector to a subsapce
1471 
1472    Level: advanced
1473 
1474   Concepts: matrix; linear operator, null space
1475 
1476   Users manual sections:
1477 .   sec_singular
1478 
1479 .seealso:  MatNullSpaceCreate()
1480 S*/
1481 typedef struct _p_MatNullSpace* MatNullSpace;
1482 
1483 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1484 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1485 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1486 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1487 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1488 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1489 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1490 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1491 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1492 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1493 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1494 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1495 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1496 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1497 
1498 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1499 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1500 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1501 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1502 
1503 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1504 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1505 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1506 
1507 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1508 
1509 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1510 
1511 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1512 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1513 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1514 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1515 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1516 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1517 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1518 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1519 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1520 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1521 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1522 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1523 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1524 
1525 /*S
1526     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1527               Jacobian vector products
1528 
1529     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1530 
1531            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1532 
1533     Level: developer
1534 
1535 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1536 S*/
1537 typedef struct _p_MatMFFD* MatMFFD;
1538 
1539 /*J
1540     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1541 
1542    Level: beginner
1543 
1544 .seealso: MatMFFDSetType(), MatMFFDRegister()
1545 J*/
1546 typedef const char* MatMFFDType;
1547 #define MATMFFD_DS  "ds"
1548 #define MATMFFD_WP  "wp"
1549 
1550 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1551 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1552 
1553 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1554 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1555 
1556 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1557 
1558 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1559 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1560 
1561 /*
1562    PETSc interface to MUMPS
1563 */
1564 #ifdef PETSC_HAVE_MUMPS
1565 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1566 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1567 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1568 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1569 
1570 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1571 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1572 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1573 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1574 #endif
1575 
1576 /*
1577    PETSc interface to Mkl_Pardiso
1578 */
1579 #ifdef PETSC_HAVE_MKL_PARDISO
1580 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1581 #endif
1582 
1583 /*
1584    PETSc interface to Mkl_CPardiso
1585 */
1586 #ifdef PETSC_HAVE_MKL_CPARDISO
1587 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1588 #endif
1589 
1590 /*
1591    PETSc interface to SUPERLU
1592 */
1593 #ifdef PETSC_HAVE_SUPERLU
1594 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1595 #endif
1596 
1597 /*
1598    PETSc interface to SUPERLU_DIST
1599 */
1600 #ifdef PETSC_HAVE_SUPERLU_DIST
1601 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1602 #endif
1603 
1604 /*
1605    PETSc interface to STRUMPACK
1606 */
1607 #ifdef PETSC_HAVE_STRUMPACK
1608 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1609 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1610 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1611 #endif
1612 
1613 
1614 #ifdef PETSC_HAVE_CUDA
1615 /*E
1616     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1617     matrices.
1618 
1619     Not Collective
1620 
1621 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1622 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1623 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1624 
1625     Level: intermediate
1626 
1627    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1628 
1629 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1630 E*/
1631 
1632 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1633 
1634 /* these will be strings associated with enumerated type defined above */
1635 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1636 
1637 /*E
1638     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1639     matrices whose operation should use a particular storage format.
1640 
1641     Not Collective
1642 
1643 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1644 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1645 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1646 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1647 
1648     Level: intermediate
1649 
1650 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1651 E*/
1652 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1653 
1654 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1655 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1656 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1657 #endif
1658 
1659 #if defined(PETSC_HAVE_CUSP)
1660 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1661 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1662 
1663 /*E
1664     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1665     matrices.
1666 
1667     Not Collective
1668 
1669 +   MAT_CUSP_CSR - Compressed Sparse Row
1670 .   MAT_CUSP_DIA - Diagonal
1671 -   MAT_CUSP_ELL - Ellpack
1672 
1673     Level: intermediate
1674 
1675    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1676 
1677 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1678 E*/
1679 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1680 
1681 /* these will be strings associated with enumerated type defined above */
1682 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1683 
1684 /*E
1685     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1686     matrices whose operation should use a particular storage format.
1687 
1688     Not Collective
1689 
1690 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1691 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1692 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1693 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1694 
1695     Level: intermediate
1696 
1697    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1698 
1699 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1700 E*/
1701 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1702 
1703 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1704 #endif
1705 
1706 #if defined(PETSC_HAVE_VIENNACL)
1707 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1708 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1709 #endif
1710 
1711 /*
1712    PETSc interface to FFTW
1713 */
1714 #if defined(PETSC_HAVE_FFTW)
1715 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1716 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1717 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1718 #endif
1719 
1720 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1721 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1722 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1723 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1724 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1725 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1726 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1727 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1728 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1729 
1730 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1731 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1732 
1733 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1734 
1735 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1736 
1737 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1738 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1739 
1740 #endif
1741