xref: /petsc/include/petscmat.h (revision c1154cd5aacc273eaa4d2acbee03e5887dd0cfdb)
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(), MatPreallocateSetLocalRemoveDups()
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    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
678        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
679 
680    Synopsis:
681    #include <petscmat.h>
682    PetscErrorCode MatPreallocateSetLocalRemoveDups(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 (these values are mapped to the global values)
690 .  cmap - the column mapping from local to global numbering
691 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
692 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
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(), MatPreallocateSetLocal()
707 M*/
708 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
709 {\
710   PetscInt __l;\
711   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
712   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
713   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
714   for (__l=0;__l<nrows;__l++) {\
715     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
716   }\
717 }
718 
719 /*MC
720    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
721        inserted using a local number of the rows and columns
722 
723    Synopsis:
724    #include <petscmat.h>
725    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
726 
727    Not Collective
728 
729    Input Parameters:
730 +  map - the row mapping from local numbering to global numbering
731 .  nrows - the number of rows indicated
732 .  rows - the indices of the rows
733 .  cmap - the column mapping from local to global numbering
734 .  ncols - the number of columns in the matrix
735 .  cols - the columns indicated
736 .  dnz - the array that will be passed to the matrix preallocation routines
737 -  ozn - the other array passed to the matrix preallocation routines
738 
739    Level: intermediate
740 
741    Notes:
742     See Users-Manual: ch_performance for more details.
743 
744    Do not malloc or free dnz and onz, that is handled internally by these routines
745 
746   Concepts: preallocation^Matrix
747 
748 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
749           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
750 M*/
751 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
752 {\
753   PetscInt __l;\
754   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
755   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
756   for (__l=0;__l<nrows;__l++) {\
757     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
758   }\
759 }
760 
761 /*MC
762    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
763        inserted using a local number of the rows and columns
764 
765    Synopsis:
766    #include <petscmat.h>
767    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
768 
769    Not Collective
770 
771    Input Parameters:
772 +  map - the mapping between local numbering and global numbering
773 .  nrows - the number of rows indicated
774 .  rows - the indices of the rows
775 .  ncols - the number of columns in the matrix
776 .  cols - the columns indicated
777 .  dnz - the array that will be passed to the matrix preallocation routines
778 -  ozn - the other array passed to the matrix preallocation routines
779 
780    Level: intermediate
781 
782    Notes:
783     See Users-Manual: ch_performance for more details.
784 
785    Do not malloc or free dnz and onz that is handled internally by these routines
786 
787   Concepts: preallocation^Matrix
788 
789 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
790           MatPreallocateInitialize(),  MatPreallocateSetLocal()
791 M*/
792 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
793 {\
794   PetscInt __l;\
795   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
796   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
797   for (__l=0;__l<nrows;__l++) {\
798     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
799   }\
800 }
801 /*MC
802    MatPreallocateSet - 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 MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
808 
809    Not Collective
810 
811    Input Parameters:
812 +  row - the row
813 .  ncols - the number of columns in the matrix
814 -  cols - the columns indicated
815 
816    Output Parameters:
817 +  dnz - the array that will be passed to the matrix preallocation routines
818 -  ozn - the other array passed to the matrix preallocation routines
819 
820    Level: intermediate
821 
822    Notes:
823     See Users-Manual: ch_performance for more details.
824 
825    Do not malloc or free dnz and onz that is handled internally by these routines
826 
827    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
828 
829   Concepts: preallocation^Matrix
830 
831 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
832           MatPreallocateInitialize(), MatPreallocateSetLocal()
833 M*/
834 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
835 { PetscInt __i; \
836   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);\
837   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);\
838   for (__i=0; __i<nc; __i++) {\
839     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
840     else dnz[row - __rstart]++;\
841   }\
842 }
843 
844 /*MC
845    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
846        inserted using a local number of the rows and columns
847 
848    Synopsis:
849    #include <petscmat.h>
850    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
851 
852    Not Collective
853 
854    Input Parameters:
855 +  nrows - the number of rows indicated
856 .  rows - the indices of the rows
857 .  ncols - the number of columns in the matrix
858 .  cols - the columns indicated
859 .  dnz - the array that will be passed to the matrix preallocation routines
860 -  ozn - the other array passed to the matrix preallocation routines
861 
862    Level: intermediate
863 
864    Notes:
865     See Users-Manual: ch_performance for more details.
866 
867    Do not malloc or free dnz and onz that is handled internally by these routines
868 
869    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
870 
871   Concepts: preallocation^Matrix
872 
873 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
874           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
875 M*/
876 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
877 { PetscInt __i; \
878   for (__i=0; __i<nc; __i++) {\
879     if (cols[__i] >= __end) onz[row - __rstart]++; \
880     else if (cols[__i] >= row) dnz[row - __rstart]++;\
881   }\
882 }
883 
884 /*MC
885    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
886 
887    Synopsis:
888    #include <petscmat.h>
889    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
890 
891    Not Collective
892 
893    Input Parameters:
894 .  A - matrix
895 .  row - row where values exist (must be local to this process)
896 .  ncols - number of columns
897 .  cols - columns with nonzeros
898 .  dnz - the array that will be passed to the matrix preallocation routines
899 -  ozn - the other array passed to the matrix preallocation routines
900 
901    Level: intermediate
902 
903    Notes:
904     See Users-Manual: ch_performance for more details.
905 
906    Do not malloc or free dnz and onz that is handled internally by these routines
907 
908    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
909 
910   Concepts: preallocation^Matrix
911 
912 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
913           MatPreallocateSymmetricSetLocalBlock()
914 M*/
915 #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);}
916 
917 
918 /*MC
919    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
920        row in a matrix providing the data that one can use to correctly preallocate the matrix.
921 
922    Synopsis:
923    #include <petscmat.h>
924    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
925 
926    Collective on MPI_Comm
927 
928    Input Parameters:
929 +  dnz - the array that was be passed to the matrix preallocation routines
930 -  ozn - the other array passed to the matrix preallocation routines
931 
932    Level: intermediate
933 
934    Notes:
935     See Users-Manual: ch_performance for more details.
936 
937    Do not malloc or free dnz and onz that is handled internally by these routines
938 
939    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
940 
941   Concepts: preallocation^Matrix
942 
943 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
944           MatPreallocateSymmetricSetLocalBlock()
945 M*/
946 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
947 
948 /* Routines unique to particular data structures */
949 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
950 
951 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
952 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
953 
954 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
955 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
956 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
957 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
958 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
959 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
960 
961 #define MAT_SKIP_ALLOCATION -4
962 
963 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
964 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
965 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
966 
967 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
968 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
969 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
970 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
971 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
972 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
973 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
974 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
975 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
976 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
977 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
978 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
979 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
980 
981 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
982 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
983 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
984 
985 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
986 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
987 
988 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
989 
990 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
991 /*
992   These routines are not usually accessed directly, rather solving is
993   done through the KSP and PC interfaces.
994 */
995 
996 /*J
997     MatOrderingType - String with the name of a PETSc matrix ordering
998 
999    Level: beginner
1000 
1001 .seealso: MatGetOrdering()
1002 J*/
1003 typedef const char* MatOrderingType;
1004 #define MATORDERINGNATURAL     "natural"
1005 #define MATORDERINGND          "nd"
1006 #define MATORDERING1WD         "1wd"
1007 #define MATORDERINGRCM         "rcm"
1008 #define MATORDERINGQMD         "qmd"
1009 #define MATORDERINGROWLENGTH   "rowlength"
1010 #define MATORDERINGWBM         "wbm"
1011 #define MATORDERINGSPECTRAL    "spectral"
1012 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1013 
1014 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1015 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1016 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1017 PETSC_EXTERN PetscFunctionList MatOrderingList;
1018 
1019 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1020 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1021 
1022 /*S
1023     MatFactorShiftType - Numeric Shift.
1024 
1025    Level: beginner
1026 
1027 S*/
1028 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1029 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1030 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1031 
1032 /*S
1033     MatFactorError - indicates what type of error in matrix factor
1034 
1035     Level: beginner
1036 
1037     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1038 
1039 .seealso: MatGetFactor()
1040 S*/
1041 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1042 
1043 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1044 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1045 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1046 
1047 /*S
1048    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1049 
1050    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1051 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1052 
1053    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1054 
1055       You can use MatFactorInfoInitialize() to set default values.
1056 
1057    Level: developer
1058 
1059 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1060           MatFactorInfoInitialize()
1061 
1062 S*/
1063 typedef struct {
1064   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1065   PetscReal     usedt;
1066   PetscReal     dt;             /* drop tolerance */
1067   PetscReal     dtcol;          /* tolerance for pivoting */
1068   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1069   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1070   PetscReal     levels;         /* ICC/ILU(levels) */
1071   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1072                                    factorization may be faster if do not pivot */
1073   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1074   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1075   PetscReal     shiftamount;     /* how large the shift is */
1076 } MatFactorInfo;
1077 
1078 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1079 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1080 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1081 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1082 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1083 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1084 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1085 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1086 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1087 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1088 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1089 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1090 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1091 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1092 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1093 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1094 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1095 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1096 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1097 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1098 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1099 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1100 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1101 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1102 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1103 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1104 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1105 
1106 /*E
1107     MatSORType - What type of (S)SOR to perform
1108 
1109     Level: beginner
1110 
1111    May be bitwise ORd together
1112 
1113    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1114 
1115    MatSORType may be bitwise ORd together, so do not change the numbers
1116 
1117 .seealso: MatSOR()
1118 E*/
1119 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1120               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1121               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1122               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1123 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1124 
1125 /*
1126     These routines are for efficiently computing Jacobians via finite differences.
1127 */
1128 
1129 /*S
1130      MatColoring - Object for managing the coloring of matrices.
1131 
1132    Level: beginner
1133 
1134   Concepts: matrix, coloring
1135 
1136 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1137 S*/
1138 typedef struct _p_MatColoring* MatColoring;
1139 /*J
1140     MatColoringType - String with the name of a PETSc matrix coloring
1141 
1142    Level: beginner
1143 
1144 .seealso: MatColoringSetType(), MatColoring
1145 J*/
1146 
1147 typedef const  char*           MatColoringType;
1148 #define MATCOLORINGJP      "jp"
1149 #define MATCOLORINGPOWER   "power"
1150 #define MATCOLORINGNATURAL "natural"
1151 #define MATCOLORINGSL      "sl"
1152 #define MATCOLORINGLF      "lf"
1153 #define MATCOLORINGID      "id"
1154 #define MATCOLORINGGREEDY  "greedy"
1155 
1156 /*E
1157    MatColoringWeightType - Type of weight scheme
1158 
1159     Not Collective
1160 
1161 +   MAT_COLORING_RANDOM  - Random weights
1162 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1163 -   MAT_COLORING_LF      - Last-first weighting.
1164 
1165     Level: intermediate
1166 
1167    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1168 
1169 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1170 E*/
1171 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1172 
1173 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1174 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1175 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1176 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1177 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1178 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1179 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1180 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1181 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1182 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1183 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1184 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1185 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1186 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1187 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1188 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1189 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1190 
1191 /*S
1192      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1193         and coloring
1194 
1195    Level: beginner
1196 
1197   Concepts: coloring, sparse Jacobian, finite differences
1198 
1199 .seealso:  MatFDColoringCreate()
1200 S*/
1201 typedef struct _p_MatFDColoring* MatFDColoring;
1202 
1203 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1204 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1205 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1206 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1207 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1208 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1209 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1210 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1211 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1212 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1213 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1214 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1215 
1216 
1217 /*S
1218      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1219 
1220    Level: beginner
1221 
1222   Concepts: coloring, sparse matrix product
1223 
1224 .seealso:  MatTransposeColoringCreate()
1225 S*/
1226 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1227 
1228 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1229 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1230 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1231 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1232 
1233 /*
1234     These routines are for partitioning matrices: currently used only
1235   for adjacency matrix, MatCreateMPIAdj().
1236 */
1237 
1238 /*S
1239      MatPartitioning - Object for managing the partitioning of a matrix or graph
1240 
1241    Level: beginner
1242 
1243   Concepts: partitioning
1244 
1245 .seealso:  MatPartitioningCreate(), MatPartitioningType
1246 S*/
1247 typedef struct _p_MatPartitioning* MatPartitioning;
1248 
1249 /*J
1250     MatPartitioningType - String with the name of a PETSc matrix partitioning
1251 
1252    Level: beginner
1253 dm
1254 .seealso: MatPartitioningCreate(), MatPartitioning
1255 J*/
1256 typedef const char* MatPartitioningType;
1257 #define MATPARTITIONINGCURRENT  "current"
1258 #define MATPARTITIONINGAVERAGE   "average"
1259 #define MATPARTITIONINGSQUARE   "square"
1260 #define MATPARTITIONINGPARMETIS "parmetis"
1261 #define MATPARTITIONINGCHACO    "chaco"
1262 #define MATPARTITIONINGPARTY    "party"
1263 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1264 #define MATPARTITIONINGHIERARCH  "hierarch"
1265 
1266 
1267 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1268 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1269 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1270 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1271 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1272 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1273 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1274 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1275 
1276 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1277 
1278 
1279 
1280 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1281 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1282 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1283 
1284 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1286 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1287 
1288 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1289 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1290 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1291 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1292 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1293 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1294 
1295 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1296 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1297 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1298 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1299 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1300 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1301 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1302 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1303 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1304 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1305 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1306 
1307 #define MP_PARTY_OPT "opt"
1308 #define MP_PARTY_LIN "lin"
1309 #define MP_PARTY_SCA "sca"
1310 #define MP_PARTY_RAN "ran"
1311 #define MP_PARTY_GBF "gbf"
1312 #define MP_PARTY_GCF "gcf"
1313 #define MP_PARTY_BUB "bub"
1314 #define MP_PARTY_DEF "def"
1315 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1316 #define MP_PARTY_HELPFUL_SETS "hs"
1317 #define MP_PARTY_KERNIGHAN_LIN "kl"
1318 #define MP_PARTY_NONE "no"
1319 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1320 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1321 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1322 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1323 
1324 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1325 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1326 
1327 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1328 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1329 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1330 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1331 
1332 /*
1333  * hierarchical partitioning
1334  */
1335 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1336 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1337 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1338 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1339 
1340 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1341 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1342 
1343 /*
1344     If you add entries here you must also add them to petsc/finclude/petscmat.h
1345 */
1346 typedef enum { MATOP_SET_VALUES=0,
1347                MATOP_GET_ROW=1,
1348                MATOP_RESTORE_ROW=2,
1349                MATOP_MULT=3,
1350                MATOP_MULT_ADD=4,
1351                MATOP_MULT_TRANSPOSE=5,
1352                MATOP_MULT_TRANSPOSE_ADD=6,
1353                MATOP_SOLVE=7,
1354                MATOP_SOLVE_ADD=8,
1355                MATOP_SOLVE_TRANSPOSE=9,
1356                MATOP_SOLVE_TRANSPOSE_ADD=10,
1357                MATOP_LUFACTOR=11,
1358                MATOP_CHOLESKYFACTOR=12,
1359                MATOP_SOR=13,
1360                MATOP_TRANSPOSE=14,
1361                MATOP_GETINFO=15,
1362                MATOP_EQUAL=16,
1363                MATOP_GET_DIAGONAL=17,
1364                MATOP_DIAGONAL_SCALE=18,
1365                MATOP_NORM=19,
1366                MATOP_ASSEMBLY_BEGIN=20,
1367                MATOP_ASSEMBLY_END=21,
1368                MATOP_SET_OPTION=22,
1369                MATOP_ZERO_ENTRIES=23,
1370                MATOP_ZERO_ROWS=24,
1371                MATOP_LUFACTOR_SYMBOLIC=25,
1372                MATOP_LUFACTOR_NUMERIC=26,
1373                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1374                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1375                MATOP_SETUP_PREALLOCATION=29,
1376                MATOP_ILUFACTOR_SYMBOLIC=30,
1377                MATOP_ICCFACTOR_SYMBOLIC=31,
1378                MATOP_GET_DIAGONAL_BLOCK=32,
1379                /* MATOP_PLACEHOLDER_33=33, */
1380                MATOP_DUPLICATE=34,
1381                MATOP_FORWARD_SOLVE=35,
1382                MATOP_BACKWARD_SOLVE=36,
1383                MATOP_ILUFACTOR=37,
1384                MATOP_ICCFACTOR=38,
1385                MATOP_AXPY=39,
1386                MATOP_GET_SUBMATRICES=40,
1387                MATOP_INCREASE_OVERLAP=41,
1388                MATOP_GET_VALUES=42,
1389                MATOP_COPY=43,
1390                MATOP_GET_ROW_MAX=44,
1391                MATOP_SCALE=45,
1392                MATOP_SHIFT=46,
1393                MATOP_DIAGONAL_SET=47,
1394                MATOP_ZERO_ROWS_COLUMNS=48,
1395                MATOP_SET_RANDOM=49,
1396                MATOP_GET_ROW_IJ=50,
1397                MATOP_RESTORE_ROW_IJ=51,
1398                MATOP_GET_COLUMN_IJ=52,
1399                MATOP_RESTORE_COLUMN_IJ=53,
1400                MATOP_FDCOLORING_CREATE=54,
1401                MATOP_COLORING_PATCH=55,
1402                MATOP_SET_UNFACTORED=56,
1403                MATOP_PERMUTE=57,
1404                MATOP_SET_VALUES_BLOCKED=58,
1405                MATOP_GET_SUBMATRIX=59,
1406                MATOP_DESTROY=60,
1407                MATOP_VIEW=61,
1408                MATOP_CONVERT_FROM=62,
1409                MATOP_MATMAT_MULT=63,
1410                MATOP_MATMAT_MULT_SYMBOLIC=64,
1411                MATOP_MATMAT_MULT_NUMERIC=65,
1412                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1413                MATOP_SET_VALUES_LOCAL=67,
1414                MATOP_ZERO_ROWS_LOCAL=68,
1415                MATOP_GET_ROW_MAX_ABS=69,
1416                MATOP_GET_ROW_MIN_ABS=70,
1417                MATOP_CONVERT=71,
1418                MATOP_SET_COLORING=72,
1419                /* MATOP_PLACEHOLDER_73=73, */
1420                MATOP_SET_VALUES_ADIFOR=74,
1421                MATOP_FD_COLORING_APPLY=75,
1422                MATOP_SET_FROM_OPTIONS=76,
1423                MATOP_MULT_CONSTRAINED=77,
1424                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1425                MATOP_FIND_ZERO_DIAGONALS=79,
1426                MATOP_MULT_MULTIPLE=80,
1427                MATOP_SOLVE_MULTIPLE=81,
1428                MATOP_GET_INERTIA=82,
1429                MATOP_LOAD=83,
1430                MATOP_IS_SYMMETRIC=84,
1431                MATOP_IS_HERMITIAN=85,
1432                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1433                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1434                MATOP_GET_VECS=88,
1435                MATOP_MAT_MULT=89,
1436                MATOP_MAT_MULT_SYMBOLIC=90,
1437                MATOP_MAT_MULT_NUMERIC=91,
1438                MATOP_PTAP=92,
1439                MATOP_PTAP_SYMBOLIC=93,
1440                MATOP_PTAP_NUMERIC=94,
1441                MATOP_MAT_TRANSPOSE_MULT=95,
1442                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1443                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1444                /* MATOP_PLACEHOLDER_98=98, */
1445                /* MATOP_PLACEHOLDER_99=99, */
1446                /* MATOP_PLACEHOLDER_100=100, */
1447                /* MATOP_PLACEHOLDER_101=101, */
1448                MATOP_CONJUGATE=102,
1449                /* MATOP_PLACEHOLDER_103=103, */
1450                MATOP_SET_VALUES_ROW=104,
1451                MATOP_REAL_PART=105,
1452                MATOP_IMAGINARY_PART=106,
1453                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1454                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1455                MATOP_MAT_SOLVE=109,
1456                MATOP_GET_REDUNDANT_MATRIX=110,
1457                MATOP_GET_ROW_MIN=111,
1458                MATOP_GET_COLUMN_VECTOR=112,
1459                MATOP_MISSING_DIAGONAL=113,
1460                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1461                MATOP_CREATE=115,
1462                MATOP_GET_GHOSTS=116,
1463                MATOP_GET_LOCAL_SUB_MATRIX=117,
1464                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1465                MATOP_MULT_DIAGONAL_BLOCK=119,
1466                MATOP_HERMITIAN_TRANSPOSE=120,
1467                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1468                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1469                MATOP_GET_MULTI_PROC_BLOCK=123,
1470                MATOP_FIND_NONZERO_ROWS=124,
1471                MATOP_GET_COLUMN_NORMS=125,
1472                MATOP_INVERT_BLOCK_DIAGONAL=126,
1473                /* MATOP_PLACEHOLDER_127=127, */
1474                MATOP_GET_SUB_MATRICES_PARALLE=128,
1475                MATOP_SET_VALUES_BATCH=129,
1476                MATOP_TRANSPOSE_MAT_MULT=130,
1477                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1478                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1479                MATOP_TRANSPOSE_COLORING_CREAT=133,
1480                MATOP_TRANS_COLORING_APPLY_SPT=134,
1481                MATOP_TRANS_COLORING_APPLY_DEN=135,
1482                MATOP_RART=136,
1483                MATOP_RART_SYMBOLIC=137,
1484                MATOP_RART_NUMERIC=138,
1485                MATOP_SET_BLOCK_SIZES=139,
1486                MATOP_AYPX=140,
1487                MATOP_RESIDUAL=141,
1488                MATOP_FDCOLORING_SETUP=142,
1489                MATOP_MPICONCATENATESEQ=144
1490              } MatOperation;
1491 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1492 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1493 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1494 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1495 
1496 /*
1497    Codes for matrices stored on disk. By default they are
1498    stored in a universal format. By changing the format with
1499    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1500    be stored in a way natural for the matrix, for example dense matrices
1501    would be stored as dense. Matrices stored this way may only be
1502    read into matrices of the same type.
1503 */
1504 #define MATRIX_BINARY_FORMAT_DENSE -1
1505 
1506 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1507 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1508 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1509 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1510 
1511 /*S
1512      MatNullSpace - Object that removes a null space from a vector, i.e.
1513          orthogonalizes the vector to a subsapce
1514 
1515    Level: advanced
1516 
1517   Concepts: matrix; linear operator, null space
1518 
1519   Users manual sections:
1520 .   sec_singular
1521 
1522 .seealso:  MatNullSpaceCreate()
1523 S*/
1524 typedef struct _p_MatNullSpace* MatNullSpace;
1525 
1526 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1527 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1528 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1529 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1530 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1531 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1532 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1533 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1534 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1535 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1536 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1537 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1538 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1539 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1540 
1541 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1542 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1543 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1544 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1545 
1546 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1547 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1548 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1549 
1550 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1551 
1552 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1553 
1554 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1555 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1556 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1557 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1558 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1559 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1560 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1561 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1562 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1563 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1564 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1565 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1566 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1567 
1568 /*S
1569     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1570               Jacobian vector products
1571 
1572     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1573 
1574            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1575 
1576     Level: developer
1577 
1578 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1579 S*/
1580 typedef struct _p_MatMFFD* MatMFFD;
1581 
1582 /*J
1583     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1584 
1585    Level: beginner
1586 
1587 .seealso: MatMFFDSetType(), MatMFFDRegister()
1588 J*/
1589 typedef const char* MatMFFDType;
1590 #define MATMFFD_DS  "ds"
1591 #define MATMFFD_WP  "wp"
1592 
1593 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1594 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1595 
1596 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1597 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1598 
1599 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1600 
1601 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1602 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1603 
1604 /*
1605    PETSc interface to MUMPS
1606 */
1607 #ifdef PETSC_HAVE_MUMPS
1608 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1609 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1610 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1611 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1612 
1613 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1614 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1615 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1616 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1617 #endif
1618 
1619 /*
1620    PETSc interface to Mkl_Pardiso
1621 */
1622 #ifdef PETSC_HAVE_MKL_PARDISO
1623 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1624 #endif
1625 
1626 /*
1627    PETSc interface to Mkl_CPardiso
1628 */
1629 #ifdef PETSC_HAVE_MKL_CPARDISO
1630 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1631 #endif
1632 
1633 /*
1634    PETSc interface to SUPERLU
1635 */
1636 #ifdef PETSC_HAVE_SUPERLU
1637 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1638 #endif
1639 
1640 /*
1641    PETSc interface to SUPERLU_DIST
1642 */
1643 #ifdef PETSC_HAVE_SUPERLU_DIST
1644 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1645 #endif
1646 
1647 /*
1648    PETSc interface to STRUMPACK
1649 */
1650 #ifdef PETSC_HAVE_STRUMPACK
1651 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1652 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1653 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1654 #endif
1655 
1656 
1657 #ifdef PETSC_HAVE_CUDA
1658 /*E
1659     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1660     matrices.
1661 
1662     Not Collective
1663 
1664 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1665 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1666 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1667 
1668     Level: intermediate
1669 
1670    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1671 
1672 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1673 E*/
1674 
1675 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1676 
1677 /* these will be strings associated with enumerated type defined above */
1678 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1679 
1680 /*E
1681     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1682     matrices whose operation should use a particular storage format.
1683 
1684     Not Collective
1685 
1686 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1687 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1688 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1689 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1690 
1691     Level: intermediate
1692 
1693 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1694 E*/
1695 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1696 
1697 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1698 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1699 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1700 #endif
1701 
1702 #if defined(PETSC_HAVE_CUSP)
1703 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1704 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1705 
1706 /*E
1707     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1708     matrices.
1709 
1710     Not Collective
1711 
1712 +   MAT_CUSP_CSR - Compressed Sparse Row
1713 .   MAT_CUSP_DIA - Diagonal
1714 -   MAT_CUSP_ELL - Ellpack
1715 
1716     Level: intermediate
1717 
1718    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1719 
1720 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1721 E*/
1722 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1723 
1724 /* these will be strings associated with enumerated type defined above */
1725 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1726 
1727 /*E
1728     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1729     matrices whose operation should use a particular storage format.
1730 
1731     Not Collective
1732 
1733 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1734 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1735 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1736 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1737 
1738     Level: intermediate
1739 
1740    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1741 
1742 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1743 E*/
1744 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1745 
1746 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1747 #endif
1748 
1749 #if defined(PETSC_HAVE_VIENNACL)
1750 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1751 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1752 #endif
1753 
1754 /*
1755    PETSc interface to FFTW
1756 */
1757 #if defined(PETSC_HAVE_FFTW)
1758 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1759 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1760 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1761 #endif
1762 
1763 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1764 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1765 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1766 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1767 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1768 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1769 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1770 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1771 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1772 
1773 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1774 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1775 
1776 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1777 
1778 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1779 
1780 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1781 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1782 
1783 #endif
1784