xref: /petsc/include/petscmat.h (revision 2bf68e3e0f2a61f71e7c65bee250bfa1c8ce0cdb)
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 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
517 
518 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
521 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
524 
525 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
528 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
531 
532 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
533 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
534 
535 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
536 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
537 
538 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
539 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
540 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
541 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
542 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
543 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
546 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
547 
548 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
549 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
550 
551 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
552 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
555 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
556 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
557 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
558 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
559 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
560 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
561 
562 /*MC
563    MatSetValue - Set a single entry into a matrix.
564 
565    Not collective
566 
567    Synopsis:
568      #include <petscmat.h>
569      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
570 
571    Input Parameters:
572 +  m - the matrix
573 .  row - the row location of the entry
574 .  col - the column location of the entry
575 .  value - the value to insert
576 -  mode - either INSERT_VALUES or ADD_VALUES
577 
578    Notes:
579    For efficiency one should use MatSetValues() and set several or many
580    values simultaneously if possible.
581 
582    Level: beginner
583 
584 .seealso: MatSetValues(), MatSetValueLocal()
585 M*/
586 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
587 
588 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
589 
590 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
591 
592 /*MC
593    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
594        row in a matrix providing the data that one can use to correctly preallocate the matrix.
595 
596    Synopsis:
597    #include <petscmat.h>
598    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
599 
600    Collective on MPI_Comm
601 
602    Input Parameters:
603 +  comm - the communicator that will share the eventually allocated matrix
604 .  nrows - the number of LOCAL rows in the matrix
605 -  ncols - the number of LOCAL columns in the matrix
606 
607    Output Parameters:
608 +  dnz - the array that will be passed to the matrix preallocation routines
609 -  ozn - the other array passed to the matrix preallocation routines
610 
611    Level: intermediate
612 
613    Notes:
614     See Users-Manual: ch_performance for more details.
615 
616    Do not malloc or free dnz and onz, that is handled internally by these routines
617 
618    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
619 
620    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
621 
622   Concepts: preallocation^Matrix
623 
624 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
625           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
626 M*/
627 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
628 { \
629   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
630   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
631   __start = 0; __end = __start;                                         \
632   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
633   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
634 
635 /*MC
636    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
637        inserted using a local number of the rows and columns
638 
639    Synopsis:
640    #include <petscmat.h>
641    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
642 
643    Not Collective
644 
645    Input Parameters:
646 +  map - the row mapping from local numbering to global numbering
647 .  nrows - the number of rows indicated
648 .  rows - the indices of the rows
649 .  cmap - the column mapping from local to global numbering
650 .  ncols - the number of columns in the matrix
651 .  cols - the columns indicated
652 .  dnz - the array that will be passed to the matrix preallocation routines
653 -  ozn - the other array passed to the matrix preallocation routines
654 
655    Level: intermediate
656 
657    Notes:
658     See Users-Manual: ch_performance for more details.
659 
660    Do not malloc or free dnz and onz, that is handled internally by these routines
661 
662   Concepts: preallocation^Matrix
663 
664 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
665           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
666 M*/
667 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
668 {\
669   PetscInt __l;\
670   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
671   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
672   for (__l=0;__l<nrows;__l++) {\
673     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
674   }\
675 }
676 
677 /*MC
678    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
679        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
680 
681    Synopsis:
682    #include <petscmat.h>
683    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
684 
685    Not Collective
686 
687    Input Parameters:
688 +  map - the row mapping from local numbering to global numbering
689 .  nrows - the number of rows indicated
690 .  rows - the indices of the rows (these values are mapped to the global values)
691 .  cmap - the column mapping from local to global numbering
692 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
693 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
694 .  dnz - the array that will be passed to the matrix preallocation routines
695 -  ozn - the other array passed to the matrix preallocation routines
696 
697    Level: intermediate
698 
699    Notes:
700     See Users-Manual: ch_performance for more details.
701 
702    Do not malloc or free dnz and onz, that is handled internally by these routines
703 
704   Concepts: preallocation^Matrix
705 
706 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
707           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
708 M*/
709 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
710 {\
711   PetscInt __l;\
712   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
713   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
714   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
715   for (__l=0;__l<nrows;__l++) {\
716     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
717   }\
718 }
719 
720 /*MC
721    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
722        inserted using a local number of the rows and columns
723 
724    Synopsis:
725    #include <petscmat.h>
726    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
727 
728    Not Collective
729 
730    Input Parameters:
731 +  map - the row mapping from local numbering to global numbering
732 .  nrows - the number of rows indicated
733 .  rows - the indices of the rows
734 .  cmap - the column mapping from local to global numbering
735 .  ncols - the number of columns in the matrix
736 .  cols - the columns indicated
737 .  dnz - the array that will be passed to the matrix preallocation routines
738 -  ozn - the other array passed to the matrix preallocation routines
739 
740    Level: intermediate
741 
742    Notes:
743     See Users-Manual: ch_performance for more details.
744 
745    Do not malloc or free dnz and onz, that is handled internally by these routines
746 
747   Concepts: preallocation^Matrix
748 
749 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
750           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
751 M*/
752 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
753 {\
754   PetscInt __l;\
755   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
756   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
757   for (__l=0;__l<nrows;__l++) {\
758     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
759   }\
760 }
761 
762 /*MC
763    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
764        inserted using a local number of the rows and columns
765 
766    Synopsis:
767    #include <petscmat.h>
768    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
769 
770    Not Collective
771 
772    Input Parameters:
773 +  map - the mapping between local numbering and global numbering
774 .  nrows - the number of rows indicated
775 .  rows - the indices of the rows
776 .  ncols - the number of columns in the matrix
777 .  cols - the columns indicated
778 .  dnz - the array that will be passed to the matrix preallocation routines
779 -  ozn - the other array passed to the matrix preallocation routines
780 
781    Level: intermediate
782 
783    Notes:
784     See Users-Manual: ch_performance for more details.
785 
786    Do not malloc or free dnz and onz that is handled internally by these routines
787 
788   Concepts: preallocation^Matrix
789 
790 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
791           MatPreallocateInitialize(),  MatPreallocateSetLocal()
792 M*/
793 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
794 {\
795   PetscInt __l;\
796   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
797   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
798   for (__l=0;__l<nrows;__l++) {\
799     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
800   }\
801 }
802 /*MC
803    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
804        inserted using a local number of the rows and columns
805 
806    Synopsis:
807    #include <petscmat.h>
808    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
809 
810    Not Collective
811 
812    Input Parameters:
813 +  row - the row
814 .  ncols - the number of columns in the matrix
815 -  cols - the columns indicated
816 
817    Output Parameters:
818 +  dnz - the array that will be passed to the matrix preallocation routines
819 -  ozn - the other array passed to the matrix preallocation routines
820 
821    Level: intermediate
822 
823    Notes:
824     See Users-Manual: ch_performance for more details.
825 
826    Do not malloc or free dnz and onz that is handled internally by these routines
827 
828    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
829 
830   Concepts: preallocation^Matrix
831 
832 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
833           MatPreallocateInitialize(), MatPreallocateSetLocal()
834 M*/
835 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
836 { PetscInt __i; \
837   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);\
838   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);\
839   for (__i=0; __i<nc; __i++) {\
840     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
841     else dnz[row - __rstart]++;\
842   }\
843 }
844 
845 /*MC
846    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
847        inserted using a local number of the rows and columns
848 
849    Synopsis:
850    #include <petscmat.h>
851    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
852 
853    Not Collective
854 
855    Input Parameters:
856 +  nrows - the number of rows indicated
857 .  rows - the indices of the rows
858 .  ncols - the number of columns in the matrix
859 .  cols - the columns indicated
860 .  dnz - the array that will be passed to the matrix preallocation routines
861 -  ozn - the other array passed to the matrix preallocation routines
862 
863    Level: intermediate
864 
865    Notes:
866     See Users-Manual: ch_performance for more details.
867 
868    Do not malloc or free dnz and onz that is handled internally by these routines
869 
870    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
871 
872   Concepts: preallocation^Matrix
873 
874 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
875           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
876 M*/
877 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
878 { PetscInt __i; \
879   for (__i=0; __i<nc; __i++) {\
880     if (cols[__i] >= __end) onz[row - __rstart]++; \
881     else if (cols[__i] >= row) dnz[row - __rstart]++;\
882   }\
883 }
884 
885 /*MC
886    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
887 
888    Synopsis:
889    #include <petscmat.h>
890    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
891 
892    Not Collective
893 
894    Input Parameters:
895 .  A - matrix
896 .  row - row where values exist (must be local to this process)
897 .  ncols - number of columns
898 .  cols - columns with nonzeros
899 .  dnz - the array that will be passed to the matrix preallocation routines
900 -  ozn - the other array passed to the matrix preallocation routines
901 
902    Level: intermediate
903 
904    Notes:
905     See Users-Manual: ch_performance for more details.
906 
907    Do not malloc or free dnz and onz that is handled internally by these routines
908 
909    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
910 
911   Concepts: preallocation^Matrix
912 
913 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
914           MatPreallocateSymmetricSetLocalBlock()
915 M*/
916 #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);}
917 
918 
919 /*MC
920    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
921        row in a matrix providing the data that one can use to correctly preallocate the matrix.
922 
923    Synopsis:
924    #include <petscmat.h>
925    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
926 
927    Collective on MPI_Comm
928 
929    Input Parameters:
930 +  dnz - the array that was be passed to the matrix preallocation routines
931 -  ozn - the other array passed to the matrix preallocation routines
932 
933    Level: intermediate
934 
935    Notes:
936     See Users-Manual: ch_performance for more details.
937 
938    Do not malloc or free dnz and onz that is handled internally by these routines
939 
940    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
941 
942   Concepts: preallocation^Matrix
943 
944 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
945           MatPreallocateSymmetricSetLocalBlock()
946 M*/
947 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
948 
949 /* Routines unique to particular data structures */
950 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
951 
952 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
953 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
954 
955 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
956 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
957 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
958 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
959 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
960 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
961 
962 #define MAT_SKIP_ALLOCATION -4
963 
964 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
965 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
966 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
967 
968 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
969 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
970 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
971 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
972 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
973 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
974 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
975 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
976 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
977 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
978 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
979 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
980 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
981 
982 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
983 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
984 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
985 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
986 
987 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
988 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
989 
990 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
991 
992 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
993 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
994 /*
995   These routines are not usually accessed directly, rather solving is
996   done through the KSP and PC interfaces.
997 */
998 
999 /*J
1000     MatOrderingType - String with the name of a PETSc matrix ordering
1001 
1002    Level: beginner
1003 
1004 .seealso: MatGetOrdering()
1005 J*/
1006 typedef const char* MatOrderingType;
1007 #define MATORDERINGNATURAL     "natural"
1008 #define MATORDERINGND          "nd"
1009 #define MATORDERING1WD         "1wd"
1010 #define MATORDERINGRCM         "rcm"
1011 #define MATORDERINGQMD         "qmd"
1012 #define MATORDERINGROWLENGTH   "rowlength"
1013 #define MATORDERINGWBM         "wbm"
1014 #define MATORDERINGSPECTRAL    "spectral"
1015 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1016 
1017 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1018 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1019 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1020 PETSC_EXTERN PetscFunctionList MatOrderingList;
1021 
1022 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1023 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1024 
1025 /*S
1026     MatFactorShiftType - Numeric Shift.
1027 
1028    Level: beginner
1029 
1030 S*/
1031 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1032 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1033 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1034 
1035 /*S
1036     MatFactorError - indicates what type of error in matrix factor
1037 
1038     Level: beginner
1039 
1040     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1041 
1042 .seealso: MatGetFactor()
1043 S*/
1044 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1045 
1046 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1047 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1048 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1049 
1050 /*S
1051    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1052 
1053    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1054 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1055 
1056    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1057 
1058       You can use MatFactorInfoInitialize() to set default values.
1059 
1060    Level: developer
1061 
1062 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1063           MatFactorInfoInitialize()
1064 
1065 S*/
1066 typedef struct {
1067   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1068   PetscReal     usedt;
1069   PetscReal     dt;             /* drop tolerance */
1070   PetscReal     dtcol;          /* tolerance for pivoting */
1071   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1072   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1073   PetscReal     levels;         /* ICC/ILU(levels) */
1074   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1075                                    factorization may be faster if do not pivot */
1076   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1077   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1078   PetscReal     shiftamount;     /* how large the shift is */
1079 } MatFactorInfo;
1080 
1081 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1082 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1083 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1084 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1085 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1086 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1087 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1088 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1089 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1090 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1091 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1092 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1093 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1094 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1095 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1096 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1097 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1098 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1099 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1100 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1101 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1102 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1103 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1104 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1105 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1106 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1107 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1108 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
1109 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1110 
1111 /*E
1112     MatSORType - What type of (S)SOR to perform
1113 
1114     Level: beginner
1115 
1116    May be bitwise ORd together
1117 
1118    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1119 
1120    MatSORType may be bitwise ORd together, so do not change the numbers
1121 
1122 .seealso: MatSOR()
1123 E*/
1124 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1125               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1126               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1127               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1128 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1129 
1130 /*
1131     These routines are for efficiently computing Jacobians via finite differences.
1132 */
1133 
1134 /*S
1135      MatColoring - Object for managing the coloring of matrices.
1136 
1137    Level: beginner
1138 
1139   Concepts: matrix, coloring
1140 
1141 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1142 S*/
1143 typedef struct _p_MatColoring* MatColoring;
1144 /*J
1145     MatColoringType - String with the name of a PETSc matrix coloring
1146 
1147    Level: beginner
1148 
1149 .seealso: MatColoringSetType(), MatColoring
1150 J*/
1151 
1152 typedef const  char*           MatColoringType;
1153 #define MATCOLORINGJP      "jp"
1154 #define MATCOLORINGPOWER   "power"
1155 #define MATCOLORINGNATURAL "natural"
1156 #define MATCOLORINGSL      "sl"
1157 #define MATCOLORINGLF      "lf"
1158 #define MATCOLORINGID      "id"
1159 #define MATCOLORINGGREEDY  "greedy"
1160 
1161 /*E
1162    MatColoringWeightType - Type of weight scheme
1163 
1164     Not Collective
1165 
1166 +   MAT_COLORING_RANDOM  - Random weights
1167 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1168 -   MAT_COLORING_LF      - Last-first weighting.
1169 
1170     Level: intermediate
1171 
1172    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1173 
1174 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1175 E*/
1176 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1177 
1178 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1179 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1180 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1181 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1182 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1183 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1184 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1185 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1186 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1187 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1188 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1189 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1190 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1191 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1192 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1193 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1194 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1195 
1196 /*S
1197      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1198         and coloring
1199 
1200    Level: beginner
1201 
1202   Concepts: coloring, sparse Jacobian, finite differences
1203 
1204 .seealso:  MatFDColoringCreate()
1205 S*/
1206 typedef struct _p_MatFDColoring* MatFDColoring;
1207 
1208 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1209 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1210 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1211 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1212 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1213 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1214 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1215 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1216 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1217 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1218 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1219 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1220 
1221 
1222 /*S
1223      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1224 
1225    Level: beginner
1226 
1227   Concepts: coloring, sparse matrix product
1228 
1229 .seealso:  MatTransposeColoringCreate()
1230 S*/
1231 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1232 
1233 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1234 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1235 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1236 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1237 
1238 /*
1239     These routines are for partitioning matrices: currently used only
1240   for adjacency matrix, MatCreateMPIAdj().
1241 */
1242 
1243 /*S
1244      MatPartitioning - Object for managing the partitioning of a matrix or graph
1245 
1246    Level: beginner
1247 
1248   Concepts: partitioning
1249 
1250 .seealso:  MatPartitioningCreate(), MatPartitioningType
1251 S*/
1252 typedef struct _p_MatPartitioning* MatPartitioning;
1253 
1254 /*J
1255     MatPartitioningType - String with the name of a PETSc matrix partitioning
1256 
1257    Level: beginner
1258 dm
1259 .seealso: MatPartitioningCreate(), MatPartitioning
1260 J*/
1261 typedef const char* MatPartitioningType;
1262 #define MATPARTITIONINGCURRENT  "current"
1263 #define MATPARTITIONINGAVERAGE   "average"
1264 #define MATPARTITIONINGSQUARE   "square"
1265 #define MATPARTITIONINGPARMETIS "parmetis"
1266 #define MATPARTITIONINGCHACO    "chaco"
1267 #define MATPARTITIONINGPARTY    "party"
1268 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1269 #define MATPARTITIONINGHIERARCH  "hierarch"
1270 
1271 
1272 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1273 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1274 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1275 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1276 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1277 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1278 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1279 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1280 
1281 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1282 
1283 
1284 
1285 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1286 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1287 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1288 
1289 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1290 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1291 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1292 
1293 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1294 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1295 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1296 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1297 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1298 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1299 
1300 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1301 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1302 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1303 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1304 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1305 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1306 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1307 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1308 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1309 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1310 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1311 
1312 #define MP_PARTY_OPT "opt"
1313 #define MP_PARTY_LIN "lin"
1314 #define MP_PARTY_SCA "sca"
1315 #define MP_PARTY_RAN "ran"
1316 #define MP_PARTY_GBF "gbf"
1317 #define MP_PARTY_GCF "gcf"
1318 #define MP_PARTY_BUB "bub"
1319 #define MP_PARTY_DEF "def"
1320 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1321 #define MP_PARTY_HELPFUL_SETS "hs"
1322 #define MP_PARTY_KERNIGHAN_LIN "kl"
1323 #define MP_PARTY_NONE "no"
1324 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1325 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1326 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1327 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1328 
1329 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1330 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1331 
1332 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1333 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1334 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1335 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1336 
1337 /*
1338  * hierarchical partitioning
1339  */
1340 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1341 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1342 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1343 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1344 
1345 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1346 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1347 
1348 /*
1349     If you add entries here you must also add them to petsc/finclude/petscmat.h
1350 */
1351 typedef enum { MATOP_SET_VALUES=0,
1352                MATOP_GET_ROW=1,
1353                MATOP_RESTORE_ROW=2,
1354                MATOP_MULT=3,
1355                MATOP_MULT_ADD=4,
1356                MATOP_MULT_TRANSPOSE=5,
1357                MATOP_MULT_TRANSPOSE_ADD=6,
1358                MATOP_SOLVE=7,
1359                MATOP_SOLVE_ADD=8,
1360                MATOP_SOLVE_TRANSPOSE=9,
1361                MATOP_SOLVE_TRANSPOSE_ADD=10,
1362                MATOP_LUFACTOR=11,
1363                MATOP_CHOLESKYFACTOR=12,
1364                MATOP_SOR=13,
1365                MATOP_TRANSPOSE=14,
1366                MATOP_GETINFO=15,
1367                MATOP_EQUAL=16,
1368                MATOP_GET_DIAGONAL=17,
1369                MATOP_DIAGONAL_SCALE=18,
1370                MATOP_NORM=19,
1371                MATOP_ASSEMBLY_BEGIN=20,
1372                MATOP_ASSEMBLY_END=21,
1373                MATOP_SET_OPTION=22,
1374                MATOP_ZERO_ENTRIES=23,
1375                MATOP_ZERO_ROWS=24,
1376                MATOP_LUFACTOR_SYMBOLIC=25,
1377                MATOP_LUFACTOR_NUMERIC=26,
1378                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1379                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1380                MATOP_SETUP_PREALLOCATION=29,
1381                MATOP_ILUFACTOR_SYMBOLIC=30,
1382                MATOP_ICCFACTOR_SYMBOLIC=31,
1383                MATOP_GET_DIAGONAL_BLOCK=32,
1384                /* MATOP_PLACEHOLDER_33=33, */
1385                MATOP_DUPLICATE=34,
1386                MATOP_FORWARD_SOLVE=35,
1387                MATOP_BACKWARD_SOLVE=36,
1388                MATOP_ILUFACTOR=37,
1389                MATOP_ICCFACTOR=38,
1390                MATOP_AXPY=39,
1391                MATOP_GET_SUBMATRICES=40,
1392                MATOP_INCREASE_OVERLAP=41,
1393                MATOP_GET_VALUES=42,
1394                MATOP_COPY=43,
1395                MATOP_GET_ROW_MAX=44,
1396                MATOP_SCALE=45,
1397                MATOP_SHIFT=46,
1398                MATOP_DIAGONAL_SET=47,
1399                MATOP_ZERO_ROWS_COLUMNS=48,
1400                MATOP_SET_RANDOM=49,
1401                MATOP_GET_ROW_IJ=50,
1402                MATOP_RESTORE_ROW_IJ=51,
1403                MATOP_GET_COLUMN_IJ=52,
1404                MATOP_RESTORE_COLUMN_IJ=53,
1405                MATOP_FDCOLORING_CREATE=54,
1406                MATOP_COLORING_PATCH=55,
1407                MATOP_SET_UNFACTORED=56,
1408                MATOP_PERMUTE=57,
1409                MATOP_SET_VALUES_BLOCKED=58,
1410                MATOP_GET_SUBMATRIX=59,
1411                MATOP_DESTROY=60,
1412                MATOP_VIEW=61,
1413                MATOP_CONVERT_FROM=62,
1414                MATOP_MATMAT_MULT=63,
1415                MATOP_MATMAT_MULT_SYMBOLIC=64,
1416                MATOP_MATMAT_MULT_NUMERIC=65,
1417                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1418                MATOP_SET_VALUES_LOCAL=67,
1419                MATOP_ZERO_ROWS_LOCAL=68,
1420                MATOP_GET_ROW_MAX_ABS=69,
1421                MATOP_GET_ROW_MIN_ABS=70,
1422                MATOP_CONVERT=71,
1423                MATOP_SET_COLORING=72,
1424                /* MATOP_PLACEHOLDER_73=73, */
1425                MATOP_SET_VALUES_ADIFOR=74,
1426                MATOP_FD_COLORING_APPLY=75,
1427                MATOP_SET_FROM_OPTIONS=76,
1428                MATOP_MULT_CONSTRAINED=77,
1429                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1430                MATOP_FIND_ZERO_DIAGONALS=79,
1431                MATOP_MULT_MULTIPLE=80,
1432                MATOP_SOLVE_MULTIPLE=81,
1433                MATOP_GET_INERTIA=82,
1434                MATOP_LOAD=83,
1435                MATOP_IS_SYMMETRIC=84,
1436                MATOP_IS_HERMITIAN=85,
1437                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1438                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1439                MATOP_GET_VECS=88,
1440                MATOP_MAT_MULT=89,
1441                MATOP_MAT_MULT_SYMBOLIC=90,
1442                MATOP_MAT_MULT_NUMERIC=91,
1443                MATOP_PTAP=92,
1444                MATOP_PTAP_SYMBOLIC=93,
1445                MATOP_PTAP_NUMERIC=94,
1446                MATOP_MAT_TRANSPOSE_MULT=95,
1447                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1448                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1449                /* MATOP_PLACEHOLDER_98=98, */
1450                /* MATOP_PLACEHOLDER_99=99, */
1451                /* MATOP_PLACEHOLDER_100=100, */
1452                /* MATOP_PLACEHOLDER_101=101, */
1453                MATOP_CONJUGATE=102,
1454                /* MATOP_PLACEHOLDER_103=103, */
1455                MATOP_SET_VALUES_ROW=104,
1456                MATOP_REAL_PART=105,
1457                MATOP_IMAGINARY_PART=106,
1458                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1459                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1460                MATOP_MAT_SOLVE=109,
1461                MATOP_GET_REDUNDANT_MATRIX=110,
1462                MATOP_GET_ROW_MIN=111,
1463                MATOP_GET_COLUMN_VECTOR=112,
1464                MATOP_MISSING_DIAGONAL=113,
1465                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1466                MATOP_CREATE=115,
1467                MATOP_GET_GHOSTS=116,
1468                MATOP_GET_LOCAL_SUB_MATRIX=117,
1469                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1470                MATOP_MULT_DIAGONAL_BLOCK=119,
1471                MATOP_HERMITIAN_TRANSPOSE=120,
1472                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1473                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1474                MATOP_GET_MULTI_PROC_BLOCK=123,
1475                MATOP_FIND_NONZERO_ROWS=124,
1476                MATOP_GET_COLUMN_NORMS=125,
1477                MATOP_INVERT_BLOCK_DIAGONAL=126,
1478                /* MATOP_PLACEHOLDER_127=127, */
1479                MATOP_GET_SUB_MATRICES_PARALLE=128,
1480                MATOP_SET_VALUES_BATCH=129,
1481                MATOP_TRANSPOSE_MAT_MULT=130,
1482                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1483                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1484                MATOP_TRANSPOSE_COLORING_CREAT=133,
1485                MATOP_TRANS_COLORING_APPLY_SPT=134,
1486                MATOP_TRANS_COLORING_APPLY_DEN=135,
1487                MATOP_RART=136,
1488                MATOP_RART_SYMBOLIC=137,
1489                MATOP_RART_NUMERIC=138,
1490                MATOP_SET_BLOCK_SIZES=139,
1491                MATOP_AYPX=140,
1492                MATOP_RESIDUAL=141,
1493                MATOP_FDCOLORING_SETUP=142,
1494                MATOP_MPICONCATENATESEQ=144
1495              } MatOperation;
1496 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1497 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1498 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1499 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1500 
1501 /*
1502    Codes for matrices stored on disk. By default they are
1503    stored in a universal format. By changing the format with
1504    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1505    be stored in a way natural for the matrix, for example dense matrices
1506    would be stored as dense. Matrices stored this way may only be
1507    read into matrices of the same type.
1508 */
1509 #define MATRIX_BINARY_FORMAT_DENSE -1
1510 
1511 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1512 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1513 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1514 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1515 
1516 /*S
1517      MatNullSpace - Object that removes a null space from a vector, i.e.
1518          orthogonalizes the vector to a subsapce
1519 
1520    Level: advanced
1521 
1522   Concepts: matrix; linear operator, null space
1523 
1524   Users manual sections:
1525 .   sec_singular
1526 
1527 .seealso:  MatNullSpaceCreate()
1528 S*/
1529 typedef struct _p_MatNullSpace* MatNullSpace;
1530 
1531 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1532 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1533 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1534 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1535 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1536 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1537 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1538 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1539 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1540 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1541 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1542 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1543 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1544 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1545 
1546 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1547 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1548 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1549 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1550 
1551 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1552 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1553 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1554 
1555 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1556 
1557 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1558 
1559 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1560 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1561 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1562 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1563 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1564 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1565 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1566 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1567 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1568 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1569 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1570 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1571 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1572 
1573 /*S
1574     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1575               Jacobian vector products
1576 
1577     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1578 
1579            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1580 
1581     Level: developer
1582 
1583 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1584 S*/
1585 typedef struct _p_MatMFFD* MatMFFD;
1586 
1587 /*J
1588     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1589 
1590    Level: beginner
1591 
1592 .seealso: MatMFFDSetType(), MatMFFDRegister()
1593 J*/
1594 typedef const char* MatMFFDType;
1595 #define MATMFFD_DS  "ds"
1596 #define MATMFFD_WP  "wp"
1597 
1598 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1599 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1600 
1601 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1602 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1603 
1604 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1605 
1606 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1607 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1608 
1609 /*
1610    PETSc interface to MUMPS
1611 */
1612 #ifdef PETSC_HAVE_MUMPS
1613 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1614 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1615 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1616 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1617 
1618 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1619 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1620 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1621 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1622 #endif
1623 
1624 /*
1625    PETSc interface to Mkl_Pardiso
1626 */
1627 #ifdef PETSC_HAVE_MKL_PARDISO
1628 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1629 #endif
1630 
1631 /*
1632    PETSc interface to Mkl_CPardiso
1633 */
1634 #ifdef PETSC_HAVE_MKL_CPARDISO
1635 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1636 #endif
1637 
1638 /*
1639    PETSc interface to SUPERLU
1640 */
1641 #ifdef PETSC_HAVE_SUPERLU
1642 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1643 #endif
1644 
1645 /*
1646    PETSc interface to SUPERLU_DIST
1647 */
1648 #ifdef PETSC_HAVE_SUPERLU_DIST
1649 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1650 #endif
1651 
1652 /*
1653    PETSc interface to STRUMPACK
1654 */
1655 #ifdef PETSC_HAVE_STRUMPACK
1656 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1657 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1658 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1659 #endif
1660 
1661 
1662 #ifdef PETSC_HAVE_CUDA
1663 /*E
1664     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1665     matrices.
1666 
1667     Not Collective
1668 
1669 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1670 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1671 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1672 
1673     Level: intermediate
1674 
1675    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1676 
1677 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1678 E*/
1679 
1680 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1681 
1682 /* these will be strings associated with enumerated type defined above */
1683 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1684 
1685 /*E
1686     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1687     matrices whose operation should use a particular storage format.
1688 
1689     Not Collective
1690 
1691 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1692 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1693 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1694 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1695 
1696     Level: intermediate
1697 
1698 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1699 E*/
1700 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1701 
1702 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1703 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1704 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1705 #endif
1706 
1707 #if defined(PETSC_HAVE_CUSP)
1708 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1709 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1710 
1711 /*E
1712     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1713     matrices.
1714 
1715     Not Collective
1716 
1717 +   MAT_CUSP_CSR - Compressed Sparse Row
1718 .   MAT_CUSP_DIA - Diagonal
1719 -   MAT_CUSP_ELL - Ellpack
1720 
1721     Level: intermediate
1722 
1723    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1724 
1725 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1726 E*/
1727 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1728 
1729 /* these will be strings associated with enumerated type defined above */
1730 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1731 
1732 /*E
1733     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1734     matrices whose operation should use a particular storage format.
1735 
1736     Not Collective
1737 
1738 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1739 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1740 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1741 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1742 
1743     Level: intermediate
1744 
1745    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1746 
1747 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1748 E*/
1749 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1750 
1751 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1752 #endif
1753 
1754 #if defined(PETSC_HAVE_VIENNACL)
1755 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1756 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1757 #endif
1758 
1759 /*
1760    PETSc interface to FFTW
1761 */
1762 #if defined(PETSC_HAVE_FFTW)
1763 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1764 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1765 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1766 #endif
1767 
1768 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1769 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1770 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1771 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1772 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1773 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1774 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1775 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1776 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1777 
1778 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1779 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1780 
1781 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1782 
1783 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1784 
1785 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1786 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1787 
1788 #endif
1789