xref: /petsc/include/petscmat.h (revision 08763aebd0f36a286d1bfcaa58f5304cb175df5e)
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 #define MATDUMMY           "dummy"
85 
86 /*J
87     MatSolverPackage - String with the name of a PETSc matrix solver type.
88 
89     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
90 
91    Level: beginner
92 
93 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
94 J*/
95 #define MatSolverPackage char*
96 #define MATSOLVERSUPERLU          "superlu"
97 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
98 #define MATSOLVERSTRUMPACK        "strumpack"
99 #define MATSOLVERUMFPACK          "umfpack"
100 #define MATSOLVERCHOLMOD          "cholmod"
101 #define MATSOLVERKLU              "klu"
102 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
103 #define MATSOLVERELEMENTAL        "elemental"
104 #define MATSOLVERESSL             "essl"
105 #define MATSOLVERLUSOL            "lusol"
106 #define MATSOLVERMUMPS            "mumps"
107 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
108 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
109 #define MATSOLVERPASTIX           "pastix"
110 #define MATSOLVERMATLAB           "matlab"
111 #define MATSOLVERPETSC            "petsc"
112 #define MATSOLVERBAS              "bas"
113 #define MATSOLVERCUSPARSE         "cusparse"
114 
115 /*E
116     MatFactorType - indicates what type of factorization is requested
117 
118     Level: beginner
119 
120    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
121 
122 .seealso: MatSolverPackage, MatGetFactor()
123 E*/
124 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
125 PETSC_EXTERN const char *const MatFactorTypes[];
126 
127 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
128 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
129 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
130 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
131 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
132 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
133 
134 /* Logging support */
135 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
136 PETSC_EXTERN PetscClassId MAT_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
143 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
144 
145 /*E
146     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
147      are to be reused to store the new matrix values.
148 
149 $  MAT_INITIAL_MATRIX - create a new matrix
150 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
151 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
152 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
153 
154     Level: beginner
155 
156    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
157 
158 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
159 E*/
160 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
161 
162 /*E
163     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
164      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
165 
166     Level: beginner
167 
168 .seealso: MatGetSeqNonzerostructure()
169 E*/
170 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
171 
172 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
173 
174 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
175 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
176 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
177 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
178 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
179 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
180 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
181 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
182 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
184 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
185 
186 PETSC_EXTERN PetscFunctionList MatList;
187 PETSC_EXTERN PetscFunctionList MatColoringList;
188 PETSC_EXTERN PetscFunctionList MatPartitioningList;
189 
190 /*E
191     MatStructure - Indicates if two matrices have the same nonzero structure
192 
193     Level: beginner
194 
195    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
196 
197 .seealso: MatCopy(), MatAXPY()
198 E*/
199 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
200 
201 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
202 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
207 
208 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
209 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
211 
212 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
214 
215 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
217 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
218 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
219 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
220 
221 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 
230 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
231 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
232 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
233 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
234 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
235 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
236 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
237 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
238 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
239 
240 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
241 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
242 
243 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
244 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
247 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
248 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
249 
250 #if defined(PETSC_HAVE_HYPRE)
251 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
252 #endif
253 
254 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
255 
256 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
257 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
258 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
259 
260 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
261 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
262 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
265 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
266 
267 /* ------------------------------------------------------------*/
268 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
269 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
274 
275 /*S
276      MatStencil - Data structure (C struct) for storing information about a single row or
277         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
278 
279    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).
280    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.
281 
282    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
283 
284    Fortran usage is different, see MatSetValuesStencil() for details.
285 
286    Level: beginner
287 
288   Concepts: matrix; linear operator
289 
290 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
291 S*/
292 typedef struct {
293   PetscInt k,j,i,c;
294 } MatStencil;
295 
296 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
297 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
298 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
299 
300 /*E
301     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
302      to continue to add or insert values to it
303 
304     Level: beginner
305 
306 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
307 E*/
308 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
309 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
310 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
311 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
312 
313 
314 
315 /*E
316     MatOption - Options that may be set for a matrix and its behavior or storage
317 
318     Level: beginner
319 
320    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
321    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
322 
323    Developer Notes: Entries that are negative need not be called collectively by all processes.
324 
325 .seealso: MatSetOption()
326 E*/
327 typedef enum {MAT_OPTION_MIN = -3,
328               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
329               MAT_ROW_ORIENTED = -1,
330               MAT_SYMMETRIC = 1,
331               MAT_STRUCTURALLY_SYMMETRIC = 2,
332               MAT_NEW_DIAGONALS = 3,
333               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
334               MAT_USE_HASH_TABLE = 5,
335               MAT_KEEP_NONZERO_PATTERN = 6,
336               MAT_IGNORE_ZERO_ENTRIES = 7,
337               MAT_USE_INODES = 8,
338               MAT_HERMITIAN = 9,
339               MAT_SYMMETRY_ETERNAL = 10,
340               MAT_NEW_NONZERO_LOCATION_ERR = 11,
341               MAT_IGNORE_LOWER_TRIANGULAR = 12,
342               MAT_ERROR_LOWER_TRIANGULAR = 13,
343               MAT_GETROW_UPPERTRIANGULAR = 14,
344               MAT_SPD = 15,
345               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
346               MAT_NO_OFF_PROC_ENTRIES = 17,
347               MAT_NEW_NONZERO_LOCATIONS = 18,
348               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
349               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
350               MAT_SUBMAT_SINGLEIS = 21,
351               MAT_OPTION_MAX = 22} MatOption;
352 
353 PETSC_EXTERN const char *const *MatOptions;
354 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
355 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
356 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
357 
358 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
359 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
360 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
361 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
362 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
363 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
367 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
368 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
369 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
370 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
371 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
372 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
373 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
374 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
375 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
376 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
377 
378 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
384 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
385 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
388 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
389 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
390 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
391 
392 /*E
393     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
394   its numerical values copied over or just its nonzero structure.
395 
396     Level: beginner
397 
398    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
399 
400 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
401 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
402 $                               have several matrices with the same nonzero pattern.
403 
404 .seealso: MatDuplicate()
405 E*/
406 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
407 
408 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
409 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
410 
411 
412 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
413 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
414 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
418 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
419 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
420 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
421 
422 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
424 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
425 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
426 
427 /*S
428      MatInfo - Context of matrix information, used with MatGetInfo()
429 
430    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
431 
432    Level: intermediate
433 
434   Concepts: matrix^nonzero information
435 
436 .seealso:  MatGetInfo(), MatInfoType
437 S*/
438 typedef struct {
439   PetscLogDouble block_size;                         /* block size */
440   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
441   PetscLogDouble memory;                             /* memory allocated */
442   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
443   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
444   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
445   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
446 } MatInfo;
447 
448 /*E
449     MatInfoType - Indicates if you want information about the local part of the matrix,
450      the entire parallel matrix or the maximum over all the local parts.
451 
452     Level: beginner
453 
454    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
455 
456 .seealso: MatGetInfo(), MatInfo
457 E*/
458 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
459 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
460 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
461 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
464 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
465 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
466 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
467 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
468 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
469 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
470 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
471 
472 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
473 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
474 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
475 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
476 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
477 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
478 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
479 
480 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
481 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
482 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
483 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
484 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
485 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
486 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
487 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
488 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
489 
490 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
491 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
492 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
493 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
494 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
495 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
496 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
497 
498 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
499 PETSC_DEPRECATED("Use MatCreateSubMatrices()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatrices(mat,n,irow,icol,scall,submat);}
500 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
501 PETSC_DEPRECATED("Use MatCreateSubMatricesMPI()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatricesMPI(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatricesMPI(mat,n,irow,icol,scall,submat);}
502 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
503 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
504 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
505 PETSC_DEPRECATED("Use MatCreateSubMatrix()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
506 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
507 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
508 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
509 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
510 
511 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
512 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
513 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
514 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
515 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
516 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
517 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
518 
519 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
520 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
521 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
522 
523 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
526 
527 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
529 
530 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
533 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
534 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
535 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
536 
537 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
538 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
539 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
540 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
541 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
542 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
543 
544 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
545 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
546 
547 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
548 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
549 
550 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
551 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
552 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
553 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
558 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
559 
560 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
561 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
562 
563 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
564 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
565 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
566 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
567 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
568 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
569 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
570 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
571 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
572 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
573 
574 /*MC
575    MatSetValue - Set a single entry into a matrix.
576 
577    Not collective
578 
579    Synopsis:
580      #include <petscmat.h>
581      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
582 
583    Input Parameters:
584 +  m - the matrix
585 .  row - the row location of the entry
586 .  col - the column location of the entry
587 .  value - the value to insert
588 -  mode - either INSERT_VALUES or ADD_VALUES
589 
590    Notes:
591    For efficiency one should use MatSetValues() and set several or many
592    values simultaneously if possible.
593 
594    Level: beginner
595 
596 .seealso: MatSetValues(), MatSetValueLocal()
597 M*/
598 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
599 
600 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
601 
602 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
603 
604 /*MC
605    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
606        row in a matrix providing the data that one can use to correctly preallocate the matrix.
607 
608    Synopsis:
609    #include <petscmat.h>
610    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
611 
612    Collective on MPI_Comm
613 
614    Input Parameters:
615 +  comm - the communicator that will share the eventually allocated matrix
616 .  nrows - the number of LOCAL rows in the matrix
617 -  ncols - the number of LOCAL columns in the matrix
618 
619    Output Parameters:
620 +  dnz - the array that will be passed to the matrix preallocation routines
621 -  ozn - the other array passed to the matrix preallocation routines
622 
623    Level: intermediate
624 
625    Notes:
626     See Users-Manual: ch_performance for more details.
627 
628    Do not malloc or free dnz and onz, that is handled internally by these routines
629 
630    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
631 
632    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
633 
634   Concepts: preallocation^Matrix
635 
636 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
637           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
638 M*/
639 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
640 { \
641   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
642   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
643   __start = 0; __end = __start;                                         \
644   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
645   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
646 
647 /*MC
648    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
649        inserted using a local number of the rows and columns
650 
651    Synopsis:
652    #include <petscmat.h>
653    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
654 
655    Not Collective
656 
657    Input Parameters:
658 +  map - the row mapping from local numbering to global numbering
659 .  nrows - the number of rows indicated
660 .  rows - the indices of the rows
661 .  cmap - the column mapping from local to global numbering
662 .  ncols - the number of columns in the matrix
663 .  cols - the columns indicated
664 .  dnz - the array that will be passed to the matrix preallocation routines
665 -  ozn - the other array passed to the matrix preallocation routines
666 
667    Level: intermediate
668 
669    Notes:
670     See Users-Manual: ch_performance for more details.
671 
672    Do not malloc or free dnz and onz, that is handled internally by these routines
673 
674   Concepts: preallocation^Matrix
675 
676 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
677           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
678 M*/
679 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
680 {\
681   PetscInt __l;\
682   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
683   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
684   for (__l=0;__l<nrows;__l++) {\
685     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
686   }\
687 }
688 
689 /*MC
690    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
691        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
692 
693    Synopsis:
694    #include <petscmat.h>
695    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
696 
697    Not Collective
698 
699    Input Parameters:
700 +  map - the row mapping from local numbering to global numbering
701 .  nrows - the number of rows indicated
702 .  rows - the indices of the rows (these values are mapped to the global values)
703 .  cmap - the column mapping from local to global numbering
704 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
705 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
706 .  dnz - the array that will be passed to the matrix preallocation routines
707 -  ozn - the other array passed to the matrix preallocation routines
708 
709    Level: intermediate
710 
711    Notes:
712     See Users-Manual: ch_performance for more details.
713 
714    Do not malloc or free dnz and onz, that is handled internally by these routines
715 
716   Concepts: preallocation^Matrix
717 
718 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
719           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
720 M*/
721 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
722 {\
723   PetscInt __l;\
724   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
725   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
726   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
727   for (__l=0;__l<nrows;__l++) {\
728     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
729   }\
730 }
731 
732 /*MC
733    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
734        inserted using a local number of the rows and columns
735 
736    Synopsis:
737    #include <petscmat.h>
738    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
739 
740    Not Collective
741 
742    Input Parameters:
743 +  map - the row mapping from local numbering to global numbering
744 .  nrows - the number of rows indicated
745 .  rows - the indices of the rows
746 .  cmap - the column mapping from local to global numbering
747 .  ncols - the number of columns in the matrix
748 .  cols - the columns indicated
749 .  dnz - the array that will be passed to the matrix preallocation routines
750 -  ozn - the other array passed to the matrix preallocation routines
751 
752    Level: intermediate
753 
754    Notes:
755     See Users-Manual: ch_performance for more details.
756 
757    Do not malloc or free dnz and onz, that is handled internally by these routines
758 
759   Concepts: preallocation^Matrix
760 
761 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
762           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
763 M*/
764 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
765 {\
766   PetscInt __l;\
767   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
768   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
769   for (__l=0;__l<nrows;__l++) {\
770     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
771   }\
772 }
773 
774 /*MC
775    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
776        inserted using a local number of the rows and columns
777 
778    Synopsis:
779    #include <petscmat.h>
780    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
781 
782    Not Collective
783 
784    Input Parameters:
785 +  map - the mapping between local numbering and global numbering
786 .  nrows - the number of rows indicated
787 .  rows - the indices of the rows
788 .  ncols - the number of columns in the matrix
789 .  cols - the columns indicated
790 .  dnz - the array that will be passed to the matrix preallocation routines
791 -  ozn - the other array passed to the matrix preallocation routines
792 
793    Level: intermediate
794 
795    Notes:
796     See Users-Manual: ch_performance for more details.
797 
798    Do not malloc or free dnz and onz that is handled internally by these routines
799 
800   Concepts: preallocation^Matrix
801 
802 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
803           MatPreallocateInitialize(),  MatPreallocateSetLocal()
804 M*/
805 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
806 {\
807   PetscInt __l;\
808   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
809   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
810   for (__l=0;__l<nrows;__l++) {\
811     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
812   }\
813 }
814 /*MC
815    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
816        inserted using a local number of the rows and columns
817 
818    Synopsis:
819    #include <petscmat.h>
820    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
821 
822    Not Collective
823 
824    Input Parameters:
825 +  row - the row
826 .  ncols - the number of columns in the matrix
827 -  cols - the columns indicated
828 
829    Output Parameters:
830 +  dnz - the array that will be passed to the matrix preallocation routines
831 -  ozn - the other array passed to the matrix preallocation routines
832 
833    Level: intermediate
834 
835    Notes:
836     See Users-Manual: ch_performance for more details.
837 
838    Do not malloc or free dnz and onz that is handled internally by these routines
839 
840    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
841 
842   Concepts: preallocation^Matrix
843 
844 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
845           MatPreallocateInitialize(), MatPreallocateSetLocal()
846 M*/
847 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
848 { PetscInt __i; \
849   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);\
850   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);\
851   for (__i=0; __i<nc; __i++) {\
852     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
853     else dnz[row - __rstart]++;\
854   }\
855 }
856 
857 /*MC
858    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
859        inserted using a local number of the rows and columns
860 
861    Synopsis:
862    #include <petscmat.h>
863    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
864 
865    Not Collective
866 
867    Input Parameters:
868 +  nrows - the number of rows indicated
869 .  rows - the indices of the rows
870 .  ncols - the number of columns in the matrix
871 .  cols - the columns indicated
872 .  dnz - the array that will be passed to the matrix preallocation routines
873 -  ozn - the other array passed to the matrix preallocation routines
874 
875    Level: intermediate
876 
877    Notes:
878     See Users-Manual: ch_performance for more details.
879 
880    Do not malloc or free dnz and onz that is handled internally by these routines
881 
882    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
883 
884   Concepts: preallocation^Matrix
885 
886 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
887           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
888 M*/
889 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
890 { PetscInt __i; \
891   for (__i=0; __i<nc; __i++) {\
892     if (cols[__i] >= __end) onz[row - __rstart]++; \
893     else if (cols[__i] >= row) dnz[row - __rstart]++;\
894   }\
895 }
896 
897 /*MC
898    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
899 
900    Synopsis:
901    #include <petscmat.h>
902    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
903 
904    Not Collective
905 
906    Input Parameters:
907 .  A - matrix
908 .  row - row where values exist (must be local to this process)
909 .  ncols - number of columns
910 .  cols - columns with nonzeros
911 .  dnz - the array that will be passed to the matrix preallocation routines
912 -  ozn - the other array passed to the matrix preallocation routines
913 
914    Level: intermediate
915 
916    Notes:
917     See Users-Manual: ch_performance for more details.
918 
919    Do not malloc or free dnz and onz that is handled internally by these routines
920 
921    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
922 
923   Concepts: preallocation^Matrix
924 
925 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
926           MatPreallocateSymmetricSetLocalBlock()
927 M*/
928 #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);}
929 
930 
931 /*MC
932    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
933        row in a matrix providing the data that one can use to correctly preallocate the matrix.
934 
935    Synopsis:
936    #include <petscmat.h>
937    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
938 
939    Collective on MPI_Comm
940 
941    Input Parameters:
942 +  dnz - the array that was be passed to the matrix preallocation routines
943 -  ozn - the other array passed to the matrix preallocation routines
944 
945    Level: intermediate
946 
947    Notes:
948     See Users-Manual: ch_performance for more details.
949 
950    Do not malloc or free dnz and onz that is handled internally by these routines
951 
952    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
953 
954   Concepts: preallocation^Matrix
955 
956 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
957           MatPreallocateSymmetricSetLocalBlock()
958 M*/
959 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
960 
961 /* Routines unique to particular data structures */
962 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
963 
964 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
965 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
966 
967 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
968 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
969 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
970 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
971 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
972 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
973 
974 #define MAT_SKIP_ALLOCATION -4
975 
976 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
977 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
978 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
979 
980 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
981 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
982 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
983 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
984 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
985 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
986 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
987 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
988 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
989 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
990 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
991 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
992 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
993 
994 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
995 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
996 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
997 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
998 
999 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1000 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1001 
1002 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1003 
1004 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1005 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1006 /*
1007   These routines are not usually accessed directly, rather solving is
1008   done through the KSP and PC interfaces.
1009 */
1010 
1011 /*J
1012     MatOrderingType - String with the name of a PETSc matrix ordering
1013 
1014    Level: beginner
1015 
1016 .seealso: MatGetOrdering()
1017 J*/
1018 typedef const char* MatOrderingType;
1019 #define MATORDERINGNATURAL     "natural"
1020 #define MATORDERINGND          "nd"
1021 #define MATORDERING1WD         "1wd"
1022 #define MATORDERINGRCM         "rcm"
1023 #define MATORDERINGQMD         "qmd"
1024 #define MATORDERINGROWLENGTH   "rowlength"
1025 #define MATORDERINGWBM         "wbm"
1026 #define MATORDERINGSPECTRAL    "spectral"
1027 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1028 
1029 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1030 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1031 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1032 PETSC_EXTERN PetscFunctionList MatOrderingList;
1033 
1034 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1035 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1036 
1037 /*S
1038     MatFactorShiftType - Numeric Shift.
1039 
1040    Level: beginner
1041 
1042 S*/
1043 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1044 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1045 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1046 
1047 /*S
1048     MatFactorError - indicates what type of error in matrix factor
1049 
1050     Level: beginner
1051 
1052     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1053 
1054 .seealso: MatGetFactor()
1055 S*/
1056 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1057 
1058 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1059 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1060 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1061 
1062 /*S
1063    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1064 
1065    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1066 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1067 
1068    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1069 
1070       You can use MatFactorInfoInitialize() to set default values.
1071 
1072    Level: developer
1073 
1074 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1075           MatFactorInfoInitialize()
1076 
1077 S*/
1078 typedef struct {
1079   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1080   PetscReal     usedt;
1081   PetscReal     dt;             /* drop tolerance */
1082   PetscReal     dtcol;          /* tolerance for pivoting */
1083   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1084   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1085   PetscReal     levels;         /* ICC/ILU(levels) */
1086   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1087                                    factorization may be faster if do not pivot */
1088   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1089   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1090   PetscReal     shiftamount;     /* how large the shift is */
1091 } MatFactorInfo;
1092 
1093 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1094 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1095 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1096 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1097 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1098 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1099 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1100 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1101 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1102 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1103 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1104 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1105 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1106 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1107 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1108 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1109 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1110 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1111 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1112 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1113 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1114 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1115 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1116 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1117 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1118 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1119 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1120 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
1121 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1122 
1123 /*E
1124     MatSORType - What type of (S)SOR to perform
1125 
1126     Level: beginner
1127 
1128    May be bitwise ORd together
1129 
1130    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1131 
1132    MatSORType may be bitwise ORd together, so do not change the numbers
1133 
1134 .seealso: MatSOR()
1135 E*/
1136 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1137               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1138               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1139               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1140 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1141 
1142 /*
1143     These routines are for efficiently computing Jacobians via finite differences.
1144 */
1145 
1146 /*S
1147      MatColoring - Object for managing the coloring of matrices.
1148 
1149    Level: beginner
1150 
1151   Concepts: matrix, coloring
1152 
1153 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1154 S*/
1155 typedef struct _p_MatColoring* MatColoring;
1156 /*J
1157     MatColoringType - String with the name of a PETSc matrix coloring
1158 
1159    Level: beginner
1160 
1161 .seealso: MatColoringSetType(), MatColoring
1162 J*/
1163 
1164 typedef const  char*           MatColoringType;
1165 #define MATCOLORINGJP      "jp"
1166 #define MATCOLORINGPOWER   "power"
1167 #define MATCOLORINGNATURAL "natural"
1168 #define MATCOLORINGSL      "sl"
1169 #define MATCOLORINGLF      "lf"
1170 #define MATCOLORINGID      "id"
1171 #define MATCOLORINGGREEDY  "greedy"
1172 
1173 /*E
1174    MatColoringWeightType - Type of weight scheme
1175 
1176     Not Collective
1177 
1178 +   MAT_COLORING_RANDOM  - Random weights
1179 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1180 -   MAT_COLORING_LF      - Last-first weighting.
1181 
1182     Level: intermediate
1183 
1184    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1185 
1186 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1187 E*/
1188 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1189 
1190 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1191 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1192 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1193 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1194 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1195 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1196 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1197 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1198 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1199 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1200 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1201 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1202 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1203 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1204 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1205 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1206 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1207 
1208 /*S
1209      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1210         and coloring
1211 
1212    Level: beginner
1213 
1214   Concepts: coloring, sparse Jacobian, finite differences
1215 
1216 .seealso:  MatFDColoringCreate()
1217 S*/
1218 typedef struct _p_MatFDColoring* MatFDColoring;
1219 
1220 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1221 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1222 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1223 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1224 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1225 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1226 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1227 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1228 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1229 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1230 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1231 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1232 
1233 
1234 /*S
1235      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1236 
1237    Level: beginner
1238 
1239   Concepts: coloring, sparse matrix product
1240 
1241 .seealso:  MatTransposeColoringCreate()
1242 S*/
1243 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1244 
1245 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1246 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1247 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1248 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1249 
1250 /*
1251     These routines are for partitioning matrices: currently used only
1252   for adjacency matrix, MatCreateMPIAdj().
1253 */
1254 
1255 /*S
1256      MatPartitioning - Object for managing the partitioning of a matrix or graph
1257 
1258    Level: beginner
1259 
1260   Concepts: partitioning
1261 
1262 .seealso:  MatPartitioningCreate(), MatPartitioningType
1263 S*/
1264 typedef struct _p_MatPartitioning* MatPartitioning;
1265 
1266 /*J
1267     MatPartitioningType - String with the name of a PETSc matrix partitioning
1268 
1269    Level: beginner
1270 dm
1271 .seealso: MatPartitioningCreate(), MatPartitioning
1272 J*/
1273 typedef const char* MatPartitioningType;
1274 #define MATPARTITIONINGCURRENT  "current"
1275 #define MATPARTITIONINGAVERAGE   "average"
1276 #define MATPARTITIONINGSQUARE   "square"
1277 #define MATPARTITIONINGPARMETIS "parmetis"
1278 #define MATPARTITIONINGCHACO    "chaco"
1279 #define MATPARTITIONINGPARTY    "party"
1280 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1281 #define MATPARTITIONINGHIERARCH  "hierarch"
1282 
1283 
1284 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1286 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1287 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1288 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1289 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1290 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1291 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1292 
1293 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1294 
1295 
1296 
1297 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1298 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1299 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1300 
1301 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1302 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1303 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1304 
1305 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1306 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1307 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1308 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1309 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1310 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1311 
1312 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1313 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1314 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1315 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1316 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1317 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1318 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1319 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1320 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1321 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1322 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1323 
1324 #define MP_PARTY_OPT "opt"
1325 #define MP_PARTY_LIN "lin"
1326 #define MP_PARTY_SCA "sca"
1327 #define MP_PARTY_RAN "ran"
1328 #define MP_PARTY_GBF "gbf"
1329 #define MP_PARTY_GCF "gcf"
1330 #define MP_PARTY_BUB "bub"
1331 #define MP_PARTY_DEF "def"
1332 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1333 #define MP_PARTY_HELPFUL_SETS "hs"
1334 #define MP_PARTY_KERNIGHAN_LIN "kl"
1335 #define MP_PARTY_NONE "no"
1336 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1337 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1338 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1339 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1340 
1341 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1342 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1343 
1344 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1345 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1346 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1347 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1348 
1349 /*
1350  * hierarchical partitioning
1351  */
1352 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1353 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1354 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1355 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1356 
1357 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1358 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1359 
1360 /*
1361     If you add entries here you must also add them to petsc/finclude/petscmat.h
1362 */
1363 typedef enum { MATOP_SET_VALUES=0,
1364                MATOP_GET_ROW=1,
1365                MATOP_RESTORE_ROW=2,
1366                MATOP_MULT=3,
1367                MATOP_MULT_ADD=4,
1368                MATOP_MULT_TRANSPOSE=5,
1369                MATOP_MULT_TRANSPOSE_ADD=6,
1370                MATOP_SOLVE=7,
1371                MATOP_SOLVE_ADD=8,
1372                MATOP_SOLVE_TRANSPOSE=9,
1373                MATOP_SOLVE_TRANSPOSE_ADD=10,
1374                MATOP_LUFACTOR=11,
1375                MATOP_CHOLESKYFACTOR=12,
1376                MATOP_SOR=13,
1377                MATOP_TRANSPOSE=14,
1378                MATOP_GETINFO=15,
1379                MATOP_EQUAL=16,
1380                MATOP_GET_DIAGONAL=17,
1381                MATOP_DIAGONAL_SCALE=18,
1382                MATOP_NORM=19,
1383                MATOP_ASSEMBLY_BEGIN=20,
1384                MATOP_ASSEMBLY_END=21,
1385                MATOP_SET_OPTION=22,
1386                MATOP_ZERO_ENTRIES=23,
1387                MATOP_ZERO_ROWS=24,
1388                MATOP_LUFACTOR_SYMBOLIC=25,
1389                MATOP_LUFACTOR_NUMERIC=26,
1390                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1391                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1392                MATOP_SETUP_PREALLOCATION=29,
1393                MATOP_ILUFACTOR_SYMBOLIC=30,
1394                MATOP_ICCFACTOR_SYMBOLIC=31,
1395                MATOP_GET_DIAGONAL_BLOCK=32,
1396                /* MATOP_PLACEHOLDER_33=33, */
1397                MATOP_DUPLICATE=34,
1398                MATOP_FORWARD_SOLVE=35,
1399                MATOP_BACKWARD_SOLVE=36,
1400                MATOP_ILUFACTOR=37,
1401                MATOP_ICCFACTOR=38,
1402                MATOP_AXPY=39,
1403                MATOP_CREATE_SUBMATRICES=40,
1404                MATOP_INCREASE_OVERLAP=41,
1405                MATOP_GET_VALUES=42,
1406                MATOP_COPY=43,
1407                MATOP_GET_ROW_MAX=44,
1408                MATOP_SCALE=45,
1409                MATOP_SHIFT=46,
1410                MATOP_DIAGONAL_SET=47,
1411                MATOP_ZERO_ROWS_COLUMNS=48,
1412                MATOP_SET_RANDOM=49,
1413                MATOP_GET_ROW_IJ=50,
1414                MATOP_RESTORE_ROW_IJ=51,
1415                MATOP_GET_COLUMN_IJ=52,
1416                MATOP_RESTORE_COLUMN_IJ=53,
1417                MATOP_FDCOLORING_CREATE=54,
1418                MATOP_COLORING_PATCH=55,
1419                MATOP_SET_UNFACTORED=56,
1420                MATOP_PERMUTE=57,
1421                MATOP_SET_VALUES_BLOCKED=58,
1422                MATOP_CREATE_SUBMATRIX=59,
1423                MATOP_DESTROY=60,
1424                MATOP_VIEW=61,
1425                MATOP_CONVERT_FROM=62,
1426                MATOP_MATMAT_MULT=63,
1427                MATOP_MATMAT_MULT_SYMBOLIC=64,
1428                MATOP_MATMAT_MULT_NUMERIC=65,
1429                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1430                MATOP_SET_VALUES_LOCAL=67,
1431                MATOP_ZERO_ROWS_LOCAL=68,
1432                MATOP_GET_ROW_MAX_ABS=69,
1433                MATOP_GET_ROW_MIN_ABS=70,
1434                MATOP_CONVERT=71,
1435                MATOP_SET_COLORING=72,
1436                /* MATOP_PLACEHOLDER_73=73, */
1437                MATOP_SET_VALUES_ADIFOR=74,
1438                MATOP_FD_COLORING_APPLY=75,
1439                MATOP_SET_FROM_OPTIONS=76,
1440                MATOP_MULT_CONSTRAINED=77,
1441                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1442                MATOP_FIND_ZERO_DIAGONALS=79,
1443                MATOP_MULT_MULTIPLE=80,
1444                MATOP_SOLVE_MULTIPLE=81,
1445                MATOP_GET_INERTIA=82,
1446                MATOP_LOAD=83,
1447                MATOP_IS_SYMMETRIC=84,
1448                MATOP_IS_HERMITIAN=85,
1449                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1450                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1451                MATOP_GET_VECS=88,
1452                MATOP_MAT_MULT=89,
1453                MATOP_MAT_MULT_SYMBOLIC=90,
1454                MATOP_MAT_MULT_NUMERIC=91,
1455                MATOP_PTAP=92,
1456                MATOP_PTAP_SYMBOLIC=93,
1457                MATOP_PTAP_NUMERIC=94,
1458                MATOP_MAT_TRANSPOSE_MULT=95,
1459                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1460                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1461                /* MATOP_PLACEHOLDER_98=98, */
1462                /* MATOP_PLACEHOLDER_99=99, */
1463                /* MATOP_PLACEHOLDER_100=100, */
1464                /* MATOP_PLACEHOLDER_101=101, */
1465                MATOP_CONJUGATE=102,
1466                /* MATOP_PLACEHOLDER_103=103, */
1467                MATOP_SET_VALUES_ROW=104,
1468                MATOP_REAL_PART=105,
1469                MATOP_IMAGINARY_PART=106,
1470                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1471                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1472                MATOP_MAT_SOLVE=109,
1473                MATOP_GET_REDUNDANT_MATRIX=110,
1474                MATOP_GET_ROW_MIN=111,
1475                MATOP_GET_COLUMN_VECTOR=112,
1476                MATOP_MISSING_DIAGONAL=113,
1477                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1478                MATOP_CREATE=115,
1479                MATOP_GET_GHOSTS=116,
1480                MATOP_GET_LOCAL_SUB_MATRIX=117,
1481                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1482                MATOP_MULT_DIAGONAL_BLOCK=119,
1483                MATOP_HERMITIAN_TRANSPOSE=120,
1484                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1485                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1486                MATOP_GET_MULTI_PROC_BLOCK=123,
1487                MATOP_FIND_NONZERO_ROWS=124,
1488                MATOP_GET_COLUMN_NORMS=125,
1489                MATOP_INVERT_BLOCK_DIAGONAL=126,
1490                /* MATOP_PLACEHOLDER_127=127, */
1491                MATOP_GET_SUB_MATRICES_PARALLE=128,
1492                MATOP_SET_VALUES_BATCH=129,
1493                MATOP_TRANSPOSE_MAT_MULT=130,
1494                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1495                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1496                MATOP_TRANSPOSE_COLORING_CREAT=133,
1497                MATOP_TRANS_COLORING_APPLY_SPT=134,
1498                MATOP_TRANS_COLORING_APPLY_DEN=135,
1499                MATOP_RART=136,
1500                MATOP_RART_SYMBOLIC=137,
1501                MATOP_RART_NUMERIC=138,
1502                MATOP_SET_BLOCK_SIZES=139,
1503                MATOP_AYPX=140,
1504                MATOP_RESIDUAL=141,
1505                MATOP_FDCOLORING_SETUP=142,
1506                MATOP_MPICONCATENATESEQ=144
1507              } MatOperation;
1508 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1509 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1510 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1511 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1512 
1513 /*
1514    Codes for matrices stored on disk. By default they are
1515    stored in a universal format. By changing the format with
1516    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1517    be stored in a way natural for the matrix, for example dense matrices
1518    would be stored as dense. Matrices stored this way may only be
1519    read into matrices of the same type.
1520 */
1521 #define MATRIX_BINARY_FORMAT_DENSE -1
1522 
1523 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1524 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1525 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1526 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1527 
1528 /*S
1529      MatNullSpace - Object that removes a null space from a vector, i.e.
1530          orthogonalizes the vector to a subsapce
1531 
1532    Level: advanced
1533 
1534   Concepts: matrix; linear operator, null space
1535 
1536   Users manual sections:
1537 .   sec_singular
1538 
1539 .seealso:  MatNullSpaceCreate()
1540 S*/
1541 typedef struct _p_MatNullSpace* MatNullSpace;
1542 
1543 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1544 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1545 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1546 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1547 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1548 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1549 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1550 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1551 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1552 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1553 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1554 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1555 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1556 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1557 
1558 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1559 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1560 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1561 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1562 
1563 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1564 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1565 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1566 
1567 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1568 
1569 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1570 
1571 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1572 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1573 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1574 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1575 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1576 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1577 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1578 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1579 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1580 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1581 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1582 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1583 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1584 
1585 /*S
1586     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1587               Jacobian vector products
1588 
1589     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1590 
1591            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1592 
1593     Level: developer
1594 
1595 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1596 S*/
1597 typedef struct _p_MatMFFD* MatMFFD;
1598 
1599 /*J
1600     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1601 
1602    Level: beginner
1603 
1604 .seealso: MatMFFDSetType(), MatMFFDRegister()
1605 J*/
1606 typedef const char* MatMFFDType;
1607 #define MATMFFD_DS  "ds"
1608 #define MATMFFD_WP  "wp"
1609 
1610 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1611 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1612 
1613 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1614 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1615 
1616 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1617 
1618 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1619 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1620 
1621 /*
1622    PETSc interface to MUMPS
1623 */
1624 #ifdef PETSC_HAVE_MUMPS
1625 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1626 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1627 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1628 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1629 
1630 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1631 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1632 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1633 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1634 #endif
1635 
1636 /*
1637    PETSc interface to Mkl_Pardiso
1638 */
1639 #ifdef PETSC_HAVE_MKL_PARDISO
1640 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1641 #endif
1642 
1643 /*
1644    PETSc interface to Mkl_CPardiso
1645 */
1646 #ifdef PETSC_HAVE_MKL_CPARDISO
1647 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1648 #endif
1649 
1650 /*
1651    PETSc interface to SUPERLU
1652 */
1653 #ifdef PETSC_HAVE_SUPERLU
1654 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1655 #endif
1656 
1657 /*
1658    PETSc interface to SUPERLU_DIST
1659 */
1660 #ifdef PETSC_HAVE_SUPERLU_DIST
1661 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1662 #endif
1663 
1664 /*
1665    PETSc interface to STRUMPACK
1666 */
1667 #ifdef PETSC_HAVE_STRUMPACK
1668 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1669 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1670 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1671 #endif
1672 
1673 
1674 #ifdef PETSC_HAVE_CUDA
1675 /*E
1676     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1677     matrices.
1678 
1679     Not Collective
1680 
1681 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1682 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1683 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1684 
1685     Level: intermediate
1686 
1687    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1688 
1689 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1690 E*/
1691 
1692 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1693 
1694 /* these will be strings associated with enumerated type defined above */
1695 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1696 
1697 /*E
1698     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1699     matrices whose operation should use a particular storage format.
1700 
1701     Not Collective
1702 
1703 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1704 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1705 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1706 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1707 
1708     Level: intermediate
1709 
1710 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1711 E*/
1712 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1713 
1714 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1715 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1716 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1717 #endif
1718 
1719 #if defined(PETSC_HAVE_CUSP)
1720 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1721 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1722 
1723 /*E
1724     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1725     matrices.
1726 
1727     Not Collective
1728 
1729 +   MAT_CUSP_CSR - Compressed Sparse Row
1730 .   MAT_CUSP_DIA - Diagonal
1731 -   MAT_CUSP_ELL - Ellpack
1732 
1733     Level: intermediate
1734 
1735    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1736 
1737 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1738 E*/
1739 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1740 
1741 /* these will be strings associated with enumerated type defined above */
1742 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1743 
1744 /*E
1745     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1746     matrices whose operation should use a particular storage format.
1747 
1748     Not Collective
1749 
1750 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1751 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1752 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1753 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1754 
1755     Level: intermediate
1756 
1757    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1758 
1759 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1760 E*/
1761 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1762 
1763 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1764 #endif
1765 
1766 #if defined(PETSC_HAVE_VIENNACL)
1767 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1768 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1769 #endif
1770 
1771 /*
1772    PETSc interface to FFTW
1773 */
1774 #if defined(PETSC_HAVE_FFTW)
1775 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1776 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1777 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1778 #endif
1779 
1780 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1781 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1782 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1783 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1784 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1785 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1786 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1787 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1788 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1789 
1790 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1791 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1792 
1793 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1794 
1795 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1796 
1797 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1798 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1799 
1800 #endif
1801