xref: /petsc/include/petscmat.h (revision d975228c4e81a8c2e35afc29ff2de123c246fb54)
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,Mat,Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
223 
224 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
225 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
226 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
227 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
229 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
230 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
231 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
232 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
233 
234 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
235 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
236 
237 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
238 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
240 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
241 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
242 
243 #if defined(PETSC_HAVE_HYPRE)
244 PETSC_EXTERN PetscErrorCode MatCreateFromParCSR(void*,MatType,PetscCopyMode,Mat*);
245 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
246 #endif
247 
248 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
249 
250 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
251 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
252 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
253 
254 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
255 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
256 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
257 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
258 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
259 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
260 
261 /* ------------------------------------------------------------*/
262 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
263 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
264 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
265 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
266 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
267 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
268 
269 /*S
270      MatStencil - Data structure (C struct) for storing information about a single row or
271         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
272 
273    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).
274    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.
275 
276    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
277 
278    Fortran usage is different, see MatSetValuesStencil() for details.
279 
280    Level: beginner
281 
282   Concepts: matrix; linear operator
283 
284 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
285 S*/
286 typedef struct {
287   PetscInt k,j,i,c;
288 } MatStencil;
289 
290 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
291 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
292 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
293 
294 /*E
295     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
296      to continue to add or insert values to it
297 
298     Level: beginner
299 
300 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
301 E*/
302 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
303 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
304 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
305 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
306 
307 
308 
309 /*E
310     MatOption - Options that may be set for a matrix and its behavior or storage
311 
312     Level: beginner
313 
314    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
315 
316    Developer Notes: Entries that are negative need not be called collectively by all processes.
317 
318 .seealso: MatSetOption()
319 E*/
320 typedef enum {MAT_OPTION_MIN = -3,
321               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
322               MAT_ROW_ORIENTED = -1,
323               MAT_SYMMETRIC = 1,
324               MAT_STRUCTURALLY_SYMMETRIC = 2,
325               MAT_NEW_DIAGONALS = 3,
326               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
327               MAT_USE_HASH_TABLE = 5,
328               MAT_KEEP_NONZERO_PATTERN = 6,
329               MAT_IGNORE_ZERO_ENTRIES = 7,
330               MAT_USE_INODES = 8,
331               MAT_HERMITIAN = 9,
332               MAT_SYMMETRY_ETERNAL = 10,
333               MAT_NEW_NONZERO_LOCATION_ERR = 11,
334               MAT_IGNORE_LOWER_TRIANGULAR = 12,
335               MAT_ERROR_LOWER_TRIANGULAR = 13,
336               MAT_GETROW_UPPERTRIANGULAR = 14,
337               MAT_SPD = 15,
338               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
339               MAT_NO_OFF_PROC_ENTRIES = 17,
340               MAT_NEW_NONZERO_LOCATIONS = 18,
341               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
342               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
343               MAT_OPTION_MAX = 21} MatOption;
344 
345 PETSC_EXTERN const char *MatOptions[];
346 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
347 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
348 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
349 
350 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
351 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
352 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
353 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
354 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
355 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
356 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
357 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
358 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
359 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
360 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
361 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
362 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
363 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
364 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
365 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
366 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
367 
368 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
369 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
370 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
371 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
374 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
375 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
380 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
381 
382 /*E
383     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
384   its numerical values copied over or just its nonzero structure.
385 
386     Level: beginner
387 
388    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
389 
390 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
391 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
392 $                               have several matrices with the same nonzero pattern.
393 
394 .seealso: MatDuplicate()
395 E*/
396 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
397 
398 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
399 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
400 
401 
402 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
403 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
404 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
405 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
406 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
407 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
408 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
409 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
410 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
411 
412 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
413 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
414 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
415 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
416 
417 /*S
418      MatInfo - Context of matrix information, used with MatGetInfo()
419 
420    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
421 
422    Level: intermediate
423 
424   Concepts: matrix^nonzero information
425 
426 .seealso:  MatGetInfo(), MatInfoType
427 S*/
428 typedef struct {
429   PetscLogDouble block_size;                         /* block size */
430   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
431   PetscLogDouble memory;                             /* memory allocated */
432   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
433   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
434   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
435   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
436 } MatInfo;
437 
438 /*E
439     MatInfoType - Indicates if you want information about the local part of the matrix,
440      the entire parallel matrix or the maximum over all the local parts.
441 
442     Level: beginner
443 
444    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
445 
446 .seealso: MatGetInfo(), MatInfo
447 E*/
448 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
449 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
450 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
451 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
452 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
453 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
454 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
455 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
456 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
457 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
458 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
459 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
460 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
461 
462 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
463 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
464 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
465 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
466 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
467 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
468 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
469 
470 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
471 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
472 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
473 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
474 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
475 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
476 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
477 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
478 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
479 
480 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
481 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
482 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
483 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
484 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
485 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
486 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
487 
488 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
489 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
490 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
491 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
492 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
493 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
494 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
495 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
496 
497 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
498 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
499 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
500 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
501 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
502 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
503 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
504 
505 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
506 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
507 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
508 
509 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
510 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
511 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
512 
513 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
514 
515 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
518 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
521 
522 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
525 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
528 
529 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
530 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
531 
532 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
533 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
534 
535 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
536 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
537 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
538 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
539 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
540 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
541 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
542 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
543 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
544 
545 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
546 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
547 
548 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
550 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
552 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
553 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
554 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
555 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
556 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
557 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
558 
559 /*MC
560    MatSetValue - Set a single entry into a matrix.
561 
562    Not collective
563 
564    Synopsis:
565      #include <petscmat.h>
566      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
567 
568    Input Parameters:
569 +  m - the matrix
570 .  row - the row location of the entry
571 .  col - the column location of the entry
572 .  value - the value to insert
573 -  mode - either INSERT_VALUES or ADD_VALUES
574 
575    Notes:
576    For efficiency one should use MatSetValues() and set several or many
577    values simultaneously if possible.
578 
579    Level: beginner
580 
581 .seealso: MatSetValues(), MatSetValueLocal()
582 M*/
583 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
584 
585 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
586 
587 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
588 
589 /*MC
590    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
591        row in a matrix providing the data that one can use to correctly preallocate the matrix.
592 
593    Synopsis:
594    #include <petscmat.h>
595    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
596 
597    Collective on MPI_Comm
598 
599    Input Parameters:
600 +  comm - the communicator that will share the eventually allocated matrix
601 .  nrows - the number of LOCAL rows in the matrix
602 -  ncols - the number of LOCAL columns in the matrix
603 
604    Output Parameters:
605 +  dnz - the array that will be passed to the matrix preallocation routines
606 -  ozn - the other array passed to the matrix preallocation routines
607 
608    Level: intermediate
609 
610    Notes:
611     See Users-Manual: ch_performance for more details.
612 
613    Do not malloc or free dnz and onz, that is handled internally by these routines
614 
615    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
616 
617    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
618 
619   Concepts: preallocation^Matrix
620 
621 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
622           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
623 M*/
624 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
625 { \
626   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
627   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
628   __start = 0; __end = __start;                                         \
629   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
630   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
631 
632 /*MC
633    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
634        inserted using a local number of the rows and columns
635 
636    Synopsis:
637    #include <petscmat.h>
638    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
639 
640    Not Collective
641 
642    Input Parameters:
643 +  map - the row mapping from local numbering to global numbering
644 .  nrows - the number of rows indicated
645 .  rows - the indices of the rows
646 .  cmap - the column mapping from local to global numbering
647 .  ncols - the number of columns in the matrix
648 .  cols - the columns indicated
649 .  dnz - the array that will be passed to the matrix preallocation routines
650 -  ozn - the other array passed to the matrix preallocation routines
651 
652    Level: intermediate
653 
654    Notes:
655     See Users-Manual: ch_performance for more details.
656 
657    Do not malloc or free dnz and onz, that is handled internally by these routines
658 
659   Concepts: preallocation^Matrix
660 
661 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
662           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
663 M*/
664 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
665 {\
666   PetscInt __l;\
667   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
668   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
669   for (__l=0;__l<nrows;__l++) {\
670     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
671   }\
672 }
673 
674 /*MC
675    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
676        inserted using a local number of the rows and columns
677 
678    Synopsis:
679    #include <petscmat.h>
680    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
681 
682    Not Collective
683 
684    Input Parameters:
685 +  map - the row mapping from local numbering to global numbering
686 .  nrows - the number of rows indicated
687 .  rows - the indices of the rows
688 .  cmap - the column mapping from local to global numbering
689 .  ncols - the number of columns in the matrix
690 .  cols - the columns indicated
691 .  dnz - the array that will be passed to the matrix preallocation routines
692 -  ozn - the other array passed to the matrix preallocation routines
693 
694    Level: intermediate
695 
696    Notes:
697     See Users-Manual: ch_performance for more details.
698 
699    Do not malloc or free dnz and onz, that is handled internally by these routines
700 
701   Concepts: preallocation^Matrix
702 
703 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
704           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
705 M*/
706 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
707 {\
708   PetscInt __l;\
709   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
710   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
711   for (__l=0;__l<nrows;__l++) {\
712     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
713   }\
714 }
715 
716 /*MC
717    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
718        inserted using a local number of the rows and columns
719 
720    Synopsis:
721    #include <petscmat.h>
722    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
723 
724    Not Collective
725 
726    Input Parameters:
727 +  map - the mapping between local numbering and global numbering
728 .  nrows - the number of rows indicated
729 .  rows - the indices of the rows
730 .  ncols - the number of columns in the matrix
731 .  cols - the columns indicated
732 .  dnz - the array that will be passed to the matrix preallocation routines
733 -  ozn - the other array passed to the matrix preallocation routines
734 
735    Level: intermediate
736 
737    Notes:
738     See Users-Manual: ch_performance for more details.
739 
740    Do not malloc or free dnz and onz that is handled internally by these routines
741 
742   Concepts: preallocation^Matrix
743 
744 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
745           MatPreallocateInitialize(),  MatPreallocateSetLocal()
746 M*/
747 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
748 {\
749   PetscInt __l;\
750   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
751   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
752   for (__l=0;__l<nrows;__l++) {\
753     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
754   }\
755 }
756 /*MC
757    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
758        inserted using a local number of the rows and columns
759 
760    Synopsis:
761    #include <petscmat.h>
762    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
763 
764    Not Collective
765 
766    Input Parameters:
767 +  row - the row
768 .  ncols - the number of columns in the matrix
769 -  cols - the columns indicated
770 
771    Output Parameters:
772 +  dnz - the array that will be passed to the matrix preallocation routines
773 -  ozn - the other array passed to the matrix preallocation routines
774 
775    Level: intermediate
776 
777    Notes:
778     See Users-Manual: ch_performance for more details.
779 
780    Do not malloc or free dnz and onz that is handled internally by these routines
781 
782    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
783 
784   Concepts: preallocation^Matrix
785 
786 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
787           MatPreallocateInitialize(), MatPreallocateSetLocal()
788 M*/
789 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
790 { PetscInt __i; \
791   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);\
792   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);\
793   for (__i=0; __i<nc; __i++) {\
794     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
795     else dnz[row - __rstart]++;\
796   }\
797 }
798 
799 /*MC
800    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
801        inserted using a local number of the rows and columns
802 
803    Synopsis:
804    #include <petscmat.h>
805    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
806 
807    Not Collective
808 
809    Input Parameters:
810 +  nrows - the number of rows indicated
811 .  rows - the indices of the rows
812 .  ncols - the number of columns in the matrix
813 .  cols - the columns indicated
814 .  dnz - the array that will be passed to the matrix preallocation routines
815 -  ozn - the other array passed to the matrix preallocation routines
816 
817    Level: intermediate
818 
819    Notes:
820     See Users-Manual: ch_performance for more details.
821 
822    Do not malloc or free dnz and onz that is handled internally by these routines
823 
824    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
825 
826   Concepts: preallocation^Matrix
827 
828 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
829           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
830 M*/
831 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
832 { PetscInt __i; \
833   for (__i=0; __i<nc; __i++) {\
834     if (cols[__i] >= __end) onz[row - __rstart]++; \
835     else if (cols[__i] >= row) dnz[row - __rstart]++;\
836   }\
837 }
838 
839 /*MC
840    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
841 
842    Synopsis:
843    #include <petscmat.h>
844    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
845 
846    Not Collective
847 
848    Input Parameters:
849 .  A - matrix
850 .  row - row where values exist (must be local to this process)
851 .  ncols - number of columns
852 .  cols - columns with nonzeros
853 .  dnz - the array that will be passed to the matrix preallocation routines
854 -  ozn - the other array passed to the matrix preallocation routines
855 
856    Level: intermediate
857 
858    Notes:
859     See Users-Manual: ch_performance for more details.
860 
861    Do not malloc or free dnz and onz that is handled internally by these routines
862 
863    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
864 
865   Concepts: preallocation^Matrix
866 
867 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
868           MatPreallocateSymmetricSetLocalBlock()
869 M*/
870 #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);}
871 
872 
873 /*MC
874    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
875        row in a matrix providing the data that one can use to correctly preallocate the matrix.
876 
877    Synopsis:
878    #include <petscmat.h>
879    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
880 
881    Collective on MPI_Comm
882 
883    Input Parameters:
884 +  dnz - the array that was be passed to the matrix preallocation routines
885 -  ozn - the other array passed to the matrix preallocation routines
886 
887    Level: intermediate
888 
889    Notes:
890     See Users-Manual: ch_performance for more details.
891 
892    Do not malloc or free dnz and onz that is handled internally by these routines
893 
894    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
895 
896   Concepts: preallocation^Matrix
897 
898 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
899           MatPreallocateSymmetricSetLocalBlock()
900 M*/
901 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
902 
903 /* Routines unique to particular data structures */
904 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
905 
906 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
907 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
908 
909 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
910 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
911 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
912 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
913 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
914 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
915 
916 #define MAT_SKIP_ALLOCATION -4
917 
918 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
919 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
920 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
921 
922 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
923 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
924 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
925 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
926 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
927 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
928 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
929 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
930 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
931 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
932 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
933 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
934 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
935 
936 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
937 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
938 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
939 
940 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
941 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
942 
943 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
944 
945 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
946 /*
947   These routines are not usually accessed directly, rather solving is
948   done through the KSP and PC interfaces.
949 */
950 
951 /*J
952     MatOrderingType - String with the name of a PETSc matrix ordering
953 
954    Level: beginner
955 
956 .seealso: MatGetOrdering()
957 J*/
958 typedef const char* MatOrderingType;
959 #define MATORDERINGNATURAL     "natural"
960 #define MATORDERINGND          "nd"
961 #define MATORDERING1WD         "1wd"
962 #define MATORDERINGRCM         "rcm"
963 #define MATORDERINGQMD         "qmd"
964 #define MATORDERINGROWLENGTH   "rowlength"
965 #define MATORDERINGWBM         "wbm"
966 #define MATORDERINGSPECTRAL    "spectral"
967 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
968 
969 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
970 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
971 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
972 PETSC_EXTERN PetscFunctionList MatOrderingList;
973 
974 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
975 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
976 
977 /*S
978     MatFactorShiftType - Numeric Shift.
979 
980    Level: beginner
981 
982 S*/
983 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
984 PETSC_EXTERN const char *const MatFactorShiftTypes[];
985 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
986 
987 /*S
988     MatFactorError - indicates what type of error in matrix factor
989 
990     Level: beginner
991 
992     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
993 
994 .seealso: MatGetFactor()
995 S*/
996 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
997 
998 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
999 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1000 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1001 
1002 /*S
1003    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1004 
1005    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1006 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1007 
1008    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1009 
1010       You can use MatFactorInfoInitialize() to set default values.
1011 
1012    Level: developer
1013 
1014 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1015           MatFactorInfoInitialize()
1016 
1017 S*/
1018 typedef struct {
1019   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1020   PetscReal     usedt;
1021   PetscReal     dt;             /* drop tolerance */
1022   PetscReal     dtcol;          /* tolerance for pivoting */
1023   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1024   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1025   PetscReal     levels;         /* ICC/ILU(levels) */
1026   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1027                                    factorization may be faster if do not pivot */
1028   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1029   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1030   PetscReal     shiftamount;     /* how large the shift is */
1031 } MatFactorInfo;
1032 
1033 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1037 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1038 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1039 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1040 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1041 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1042 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1043 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1044 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1045 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1046 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1047 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1048 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1049 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1050 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1051 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1052 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1053 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1054 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1055 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1056 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1057 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1058 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1059 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1060 
1061 /*E
1062     MatSORType - What type of (S)SOR to perform
1063 
1064     Level: beginner
1065 
1066    May be bitwise ORd together
1067 
1068    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1069 
1070    MatSORType may be bitwise ORd together, so do not change the numbers
1071 
1072 .seealso: MatSOR()
1073 E*/
1074 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1075               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1076               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1077               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1078 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1079 
1080 /*
1081     These routines are for efficiently computing Jacobians via finite differences.
1082 */
1083 
1084 /*S
1085      MatColoring - Object for managing the coloring of matrices.
1086 
1087    Level: beginner
1088 
1089   Concepts: matrix, coloring
1090 
1091 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1092 S*/
1093 typedef struct _p_MatColoring* MatColoring;
1094 /*J
1095     MatColoringType - String with the name of a PETSc matrix coloring
1096 
1097    Level: beginner
1098 
1099 .seealso: MatColoringSetType(), MatColoring
1100 J*/
1101 
1102 typedef const  char*           MatColoringType;
1103 #define MATCOLORINGJP      "jp"
1104 #define MATCOLORINGPOWER   "power"
1105 #define MATCOLORINGNATURAL "natural"
1106 #define MATCOLORINGSL      "sl"
1107 #define MATCOLORINGLF      "lf"
1108 #define MATCOLORINGID      "id"
1109 #define MATCOLORINGGREEDY  "greedy"
1110 
1111 /*E
1112    MatColoringWeightType - Type of weight scheme
1113 
1114     Not Collective
1115 
1116 +   MAT_COLORING_RANDOM  - Random weights
1117 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1118 -   MAT_COLORING_LF      - Last-first weighting.
1119 
1120     Level: intermediate
1121 
1122    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1123 
1124 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1125 E*/
1126 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1127 
1128 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1129 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1130 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1131 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1132 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1133 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1134 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1135 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1136 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1137 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1138 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1139 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1140 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1141 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1142 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1143 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1144 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1145 
1146 /*S
1147      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1148         and coloring
1149 
1150    Level: beginner
1151 
1152   Concepts: coloring, sparse Jacobian, finite differences
1153 
1154 .seealso:  MatFDColoringCreate()
1155 S*/
1156 typedef struct _p_MatFDColoring* MatFDColoring;
1157 
1158 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1159 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1160 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1161 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1162 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1163 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1164 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1165 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1166 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1167 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1168 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1169 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1170 
1171 
1172 /*S
1173      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1174 
1175    Level: beginner
1176 
1177   Concepts: coloring, sparse matrix product
1178 
1179 .seealso:  MatTransposeColoringCreate()
1180 S*/
1181 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1182 
1183 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1184 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1185 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1186 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1187 
1188 /*
1189     These routines are for partitioning matrices: currently used only
1190   for adjacency matrix, MatCreateMPIAdj().
1191 */
1192 
1193 /*S
1194      MatPartitioning - Object for managing the partitioning of a matrix or graph
1195 
1196    Level: beginner
1197 
1198   Concepts: partitioning
1199 
1200 .seealso:  MatPartitioningCreate(), MatPartitioningType
1201 S*/
1202 typedef struct _p_MatPartitioning* MatPartitioning;
1203 
1204 /*J
1205     MatPartitioningType - String with the name of a PETSc matrix partitioning
1206 
1207    Level: beginner
1208 dm
1209 .seealso: MatPartitioningCreate(), MatPartitioning
1210 J*/
1211 typedef const char* MatPartitioningType;
1212 #define MATPARTITIONINGCURRENT  "current"
1213 #define MATPARTITIONINGAVERAGE   "average"
1214 #define MATPARTITIONINGSQUARE   "square"
1215 #define MATPARTITIONINGPARMETIS "parmetis"
1216 #define MATPARTITIONINGCHACO    "chaco"
1217 #define MATPARTITIONINGPARTY    "party"
1218 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1219 #define MATPARTITIONINGHIERARCH  "hierarch"
1220 
1221 
1222 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1223 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1224 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1225 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1226 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1227 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1228 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1229 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1230 
1231 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1232 
1233 
1234 
1235 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1238 
1239 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1240 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1241 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1242 
1243 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1244 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1245 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1246 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1247 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1248 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1249 
1250 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1251 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1252 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1253 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1254 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1255 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1256 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1257 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1258 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1259 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1260 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1261 
1262 #define MP_PARTY_OPT "opt"
1263 #define MP_PARTY_LIN "lin"
1264 #define MP_PARTY_SCA "sca"
1265 #define MP_PARTY_RAN "ran"
1266 #define MP_PARTY_GBF "gbf"
1267 #define MP_PARTY_GCF "gcf"
1268 #define MP_PARTY_BUB "bub"
1269 #define MP_PARTY_DEF "def"
1270 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1271 #define MP_PARTY_HELPFUL_SETS "hs"
1272 #define MP_PARTY_KERNIGHAN_LIN "kl"
1273 #define MP_PARTY_NONE "no"
1274 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1275 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1276 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1277 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1278 
1279 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1280 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1281 
1282 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1283 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1284 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1286 
1287 /*
1288  * hierarchical partitioning
1289  */
1290 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1291 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1292 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1293 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1294 
1295 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1296 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1297 
1298 /*
1299     If you add entries here you must also add them to petsc/finclude/petscmat.h
1300 */
1301 typedef enum { MATOP_SET_VALUES=0,
1302                MATOP_GET_ROW=1,
1303                MATOP_RESTORE_ROW=2,
1304                MATOP_MULT=3,
1305                MATOP_MULT_ADD=4,
1306                MATOP_MULT_TRANSPOSE=5,
1307                MATOP_MULT_TRANSPOSE_ADD=6,
1308                MATOP_SOLVE=7,
1309                MATOP_SOLVE_ADD=8,
1310                MATOP_SOLVE_TRANSPOSE=9,
1311                MATOP_SOLVE_TRANSPOSE_ADD=10,
1312                MATOP_LUFACTOR=11,
1313                MATOP_CHOLESKYFACTOR=12,
1314                MATOP_SOR=13,
1315                MATOP_TRANSPOSE=14,
1316                MATOP_GETINFO=15,
1317                MATOP_EQUAL=16,
1318                MATOP_GET_DIAGONAL=17,
1319                MATOP_DIAGONAL_SCALE=18,
1320                MATOP_NORM=19,
1321                MATOP_ASSEMBLY_BEGIN=20,
1322                MATOP_ASSEMBLY_END=21,
1323                MATOP_SET_OPTION=22,
1324                MATOP_ZERO_ENTRIES=23,
1325                MATOP_ZERO_ROWS=24,
1326                MATOP_LUFACTOR_SYMBOLIC=25,
1327                MATOP_LUFACTOR_NUMERIC=26,
1328                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1329                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1330                MATOP_SETUP_PREALLOCATION=29,
1331                MATOP_ILUFACTOR_SYMBOLIC=30,
1332                MATOP_ICCFACTOR_SYMBOLIC=31,
1333                MATOP_GET_DIAGONAL_BLOCK=32,
1334                /* MATOP_PLACEHOLDER_33=33, */
1335                MATOP_DUPLICATE=34,
1336                MATOP_FORWARD_SOLVE=35,
1337                MATOP_BACKWARD_SOLVE=36,
1338                MATOP_ILUFACTOR=37,
1339                MATOP_ICCFACTOR=38,
1340                MATOP_AXPY=39,
1341                MATOP_GET_SUBMATRICES=40,
1342                MATOP_INCREASE_OVERLAP=41,
1343                MATOP_GET_VALUES=42,
1344                MATOP_COPY=43,
1345                MATOP_GET_ROW_MAX=44,
1346                MATOP_SCALE=45,
1347                MATOP_SHIFT=46,
1348                MATOP_DIAGONAL_SET=47,
1349                MATOP_ZERO_ROWS_COLUMNS=48,
1350                MATOP_SET_RANDOM=49,
1351                MATOP_GET_ROW_IJ=50,
1352                MATOP_RESTORE_ROW_IJ=51,
1353                MATOP_GET_COLUMN_IJ=52,
1354                MATOP_RESTORE_COLUMN_IJ=53,
1355                MATOP_FDCOLORING_CREATE=54,
1356                MATOP_COLORING_PATCH=55,
1357                MATOP_SET_UNFACTORED=56,
1358                MATOP_PERMUTE=57,
1359                MATOP_SET_VALUES_BLOCKED=58,
1360                MATOP_GET_SUBMATRIX=59,
1361                MATOP_DESTROY=60,
1362                MATOP_VIEW=61,
1363                MATOP_CONVERT_FROM=62,
1364                MATOP_MATMAT_MULT=63,
1365                MATOP_MATMAT_MULT_SYMBOLIC=64,
1366                MATOP_MATMAT_MULT_NUMERIC=65,
1367                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1368                MATOP_SET_VALUES_LOCAL=67,
1369                MATOP_ZERO_ROWS_LOCAL=68,
1370                MATOP_GET_ROW_MAX_ABS=69,
1371                MATOP_GET_ROW_MIN_ABS=70,
1372                MATOP_CONVERT=71,
1373                MATOP_SET_COLORING=72,
1374                /* MATOP_PLACEHOLDER_73=73, */
1375                MATOP_SET_VALUES_ADIFOR=74,
1376                MATOP_FD_COLORING_APPLY=75,
1377                MATOP_SET_FROM_OPTIONS=76,
1378                MATOP_MULT_CONSTRAINED=77,
1379                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1380                MATOP_FIND_ZERO_DIAGONALS=79,
1381                MATOP_MULT_MULTIPLE=80,
1382                MATOP_SOLVE_MULTIPLE=81,
1383                MATOP_GET_INERTIA=82,
1384                MATOP_LOAD=83,
1385                MATOP_IS_SYMMETRIC=84,
1386                MATOP_IS_HERMITIAN=85,
1387                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1388                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1389                MATOP_GET_VECS=88,
1390                MATOP_MAT_MULT=89,
1391                MATOP_MAT_MULT_SYMBOLIC=90,
1392                MATOP_MAT_MULT_NUMERIC=91,
1393                MATOP_PTAP=92,
1394                MATOP_PTAP_SYMBOLIC=93,
1395                MATOP_PTAP_NUMERIC=94,
1396                MATOP_MAT_TRANSPOSE_MULT=95,
1397                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1398                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1399                /* MATOP_PLACEHOLDER_98=98, */
1400                /* MATOP_PLACEHOLDER_99=99, */
1401                /* MATOP_PLACEHOLDER_100=100, */
1402                /* MATOP_PLACEHOLDER_101=101, */
1403                MATOP_CONJUGATE=102,
1404                /* MATOP_PLACEHOLDER_103=103, */
1405                MATOP_SET_VALUES_ROW=104,
1406                MATOP_REAL_PART=105,
1407                MATOP_IMAGINARY_PART=106,
1408                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1409                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1410                MATOP_MAT_SOLVE=109,
1411                MATOP_GET_REDUNDANT_MATRIX=110,
1412                MATOP_GET_ROW_MIN=111,
1413                MATOP_GET_COLUMN_VECTOR=112,
1414                MATOP_MISSING_DIAGONAL=113,
1415                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1416                MATOP_CREATE=115,
1417                MATOP_GET_GHOSTS=116,
1418                MATOP_GET_LOCAL_SUB_MATRIX=117,
1419                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1420                MATOP_MULT_DIAGONAL_BLOCK=119,
1421                MATOP_HERMITIAN_TRANSPOSE=120,
1422                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1423                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1424                MATOP_GET_MULTI_PROC_BLOCK=123,
1425                MATOP_FIND_NONZERO_ROWS=124,
1426                MATOP_GET_COLUMN_NORMS=125,
1427                MATOP_INVERT_BLOCK_DIAGONAL=126,
1428                /* MATOP_PLACEHOLDER_127=127, */
1429                MATOP_GET_SUB_MATRICES_PARALLE=128,
1430                MATOP_SET_VALUES_BATCH=129,
1431                MATOP_TRANSPOSE_MAT_MULT=130,
1432                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1433                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1434                MATOP_TRANSPOSE_COLORING_CREAT=133,
1435                MATOP_TRANS_COLORING_APPLY_SPT=134,
1436                MATOP_TRANS_COLORING_APPLY_DEN=135,
1437                MATOP_RART=136,
1438                MATOP_RART_SYMBOLIC=137,
1439                MATOP_RART_NUMERIC=138,
1440                MATOP_SET_BLOCK_SIZES=139,
1441                MATOP_AYPX=140,
1442                MATOP_RESIDUAL=141,
1443                MATOP_FDCOLORING_SETUP=142,
1444                MATOP_MPICONCATENATESEQ=144
1445              } MatOperation;
1446 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1447 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1448 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1449 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1450 
1451 /*
1452    Codes for matrices stored on disk. By default they are
1453    stored in a universal format. By changing the format with
1454    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1455    be stored in a way natural for the matrix, for example dense matrices
1456    would be stored as dense. Matrices stored this way may only be
1457    read into matrices of the same type.
1458 */
1459 #define MATRIX_BINARY_FORMAT_DENSE -1
1460 
1461 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1462 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1463 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1464 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1465 
1466 /*S
1467      MatNullSpace - Object that removes a null space from a vector, i.e.
1468          orthogonalizes the vector to a subsapce
1469 
1470    Level: advanced
1471 
1472   Concepts: matrix; linear operator, null space
1473 
1474   Users manual sections:
1475 .   sec_singular
1476 
1477 .seealso:  MatNullSpaceCreate()
1478 S*/
1479 typedef struct _p_MatNullSpace* MatNullSpace;
1480 
1481 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1482 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1483 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1484 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1485 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1486 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1487 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1488 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1489 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1490 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1491 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1492 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1493 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1494 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1495 
1496 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1497 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1498 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1499 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1500 
1501 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1502 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1503 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1504 
1505 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1506 
1507 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1508 
1509 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1510 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1511 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1512 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1513 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1514 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1515 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1516 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1517 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1518 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1519 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1520 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1521 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1522 
1523 /*S
1524     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1525               Jacobian vector products
1526 
1527     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1528 
1529            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1530 
1531     Level: developer
1532 
1533 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1534 S*/
1535 typedef struct _p_MatMFFD* MatMFFD;
1536 
1537 /*J
1538     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1539 
1540    Level: beginner
1541 
1542 .seealso: MatMFFDSetType(), MatMFFDRegister()
1543 J*/
1544 typedef const char* MatMFFDType;
1545 #define MATMFFD_DS  "ds"
1546 #define MATMFFD_WP  "wp"
1547 
1548 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1549 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1550 
1551 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1552 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1553 
1554 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1555 
1556 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1557 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1558 
1559 /*
1560    PETSc interface to MUMPS
1561 */
1562 #ifdef PETSC_HAVE_MUMPS
1563 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1564 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1565 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1566 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1567 
1568 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1569 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1570 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1571 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1572 #endif
1573 
1574 /*
1575    PETSc interface to Mkl_Pardiso
1576 */
1577 #ifdef PETSC_HAVE_MKL_PARDISO
1578 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1579 #endif
1580 
1581 /*
1582    PETSc interface to Mkl_CPardiso
1583 */
1584 #ifdef PETSC_HAVE_MKL_CPARDISO
1585 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1586 #endif
1587 
1588 /*
1589    PETSc interface to SUPERLU
1590 */
1591 #ifdef PETSC_HAVE_SUPERLU
1592 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1593 #endif
1594 
1595 /*
1596    PETSc interface to SUPERLU_DIST
1597 */
1598 #ifdef PETSC_HAVE_SUPERLU_DIST
1599 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1600 #endif
1601 
1602 /*
1603    PETSc interface to STRUMPACK
1604 */
1605 #ifdef PETSC_HAVE_STRUMPACK
1606 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1607 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1608 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1609 #endif
1610 
1611 
1612 #ifdef PETSC_HAVE_CUDA
1613 /*E
1614     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1615     matrices.
1616 
1617     Not Collective
1618 
1619 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1620 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1621 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1622 
1623     Level: intermediate
1624 
1625    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1626 
1627 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1628 E*/
1629 
1630 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1631 
1632 /* these will be strings associated with enumerated type defined above */
1633 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1634 
1635 /*E
1636     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1637     matrices whose operation should use a particular storage format.
1638 
1639     Not Collective
1640 
1641 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1642 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1643 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1644 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1645 
1646     Level: intermediate
1647 
1648 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1649 E*/
1650 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1651 
1652 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1653 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1654 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1655 #endif
1656 
1657 #if defined(PETSC_HAVE_CUSP)
1658 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1659 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1660 
1661 /*E
1662     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1663     matrices.
1664 
1665     Not Collective
1666 
1667 +   MAT_CUSP_CSR - Compressed Sparse Row
1668 .   MAT_CUSP_DIA - Diagonal
1669 -   MAT_CUSP_ELL - Ellpack
1670 
1671     Level: intermediate
1672 
1673    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1674 
1675 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1676 E*/
1677 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1678 
1679 /* these will be strings associated with enumerated type defined above */
1680 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1681 
1682 /*E
1683     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1684     matrices whose operation should use a particular storage format.
1685 
1686     Not Collective
1687 
1688 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1689 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1690 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1691 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1692 
1693     Level: intermediate
1694 
1695    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1696 
1697 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1698 E*/
1699 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1700 
1701 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1702 #endif
1703 
1704 #if defined(PETSC_HAVE_VIENNACL)
1705 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1706 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1707 #endif
1708 
1709 /*
1710    PETSc interface to FFTW
1711 */
1712 #if defined(PETSC_HAVE_FFTW)
1713 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1714 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1715 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1716 #endif
1717 
1718 /*
1719    PETSc interface to ELEMENTAL
1720 */
1721 #if defined(PETSC_HAVE_ELEMENTAL)
1722 #if defined(PETSC_USE_COMPLEX)
1723 typedef El::Complex<PetscReal> PetscElemScalar;
1724 #else
1725 typedef PetscScalar PetscElemScalar;
1726 #endif
1727 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1728 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1729 #endif
1730 
1731 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1732 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1733 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1734 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1735 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1736 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1737 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1738 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1739 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1740 
1741 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1742 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1743 
1744 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1745 
1746 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1747 
1748 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1749 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1750 
1751 #endif
1752