xref: /petsc/include/petscmat.h (revision 2ec85ea456d4da44b4dd09fd939e615b8c7fb52b)
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 MATSOLVERSPARSEELEMENTAL  "sparseelemental"
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(), MatGetSubMatrix(), MatConvert() or several other functions
146      are to be reused to store the new matrix values.
147 
148 $  MAT_INITIAL_MATRIX - create a new matrix
149 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
150 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
151 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
152 
153     Level: beginner
154 
155    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
156 
157 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
158 E*/
159 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
160 
161 /*E
162     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
163      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
164 
165     Level: beginner
166 
167 .seealso: MatGetSeqNonzerostructure()
168 E*/
169 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
170 
171 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
172 
173 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
174 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
175 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
176 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
177 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
178 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
179 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
180 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
181 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
182 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
183 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
184 
185 PETSC_EXTERN PetscFunctionList MatList;
186 PETSC_EXTERN PetscFunctionList MatColoringList;
187 PETSC_EXTERN PetscFunctionList MatPartitioningList;
188 
189 /*E
190     MatStructure - Indicates if two matrices have the same nonzero structure
191 
192     Level: beginner
193 
194    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
195 
196 .seealso: MatCopy(), MatAXPY()
197 E*/
198 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
199 
200 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
201 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
202 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
206 
207 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
208 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
209 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
210 
211 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
213 
214 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
215 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
216 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
217 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
218 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
219 
220 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
228 
229 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
230 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
231 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
232 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
233 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
234 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
235 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
236 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
237 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
238 
239 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
240 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
241 
242 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
243 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
244 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
246 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
247 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
248 
249 #if defined(PETSC_HAVE_HYPRE)
250 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
251 #endif
252 
253 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
254 
255 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
256 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
257 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
258 
259 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
260 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
261 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
262 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
263 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
264 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
265 
266 /* ------------------------------------------------------------*/
267 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
268 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
269 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
270 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
273 
274 /*S
275      MatStencil - Data structure (C struct) for storing information about a single row or
276         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
277 
278    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).
279    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.
280 
281    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
282 
283    Fortran usage is different, see MatSetValuesStencil() for details.
284 
285    Level: beginner
286 
287   Concepts: matrix; linear operator
288 
289 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
290 S*/
291 typedef struct {
292   PetscInt k,j,i,c;
293 } MatStencil;
294 
295 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
296 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
297 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
298 
299 /*E
300     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
301      to continue to add or insert values to it
302 
303     Level: beginner
304 
305 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
306 E*/
307 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
308 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
309 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
310 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
311 
312 
313 
314 /*E
315     MatOption - Options that may be set for a matrix and its behavior or storage
316 
317     Level: beginner
318 
319    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
320 
321    Developer Notes: Entries that are negative need not be called collectively by all processes.
322 
323 .seealso: MatSetOption()
324 E*/
325 typedef enum {MAT_OPTION_MIN = -3,
326               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
327               MAT_ROW_ORIENTED = -1,
328               MAT_SYMMETRIC = 1,
329               MAT_STRUCTURALLY_SYMMETRIC = 2,
330               MAT_NEW_DIAGONALS = 3,
331               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
332               MAT_USE_HASH_TABLE = 5,
333               MAT_KEEP_NONZERO_PATTERN = 6,
334               MAT_IGNORE_ZERO_ENTRIES = 7,
335               MAT_USE_INODES = 8,
336               MAT_HERMITIAN = 9,
337               MAT_SYMMETRY_ETERNAL = 10,
338               MAT_NEW_NONZERO_LOCATION_ERR = 11,
339               MAT_IGNORE_LOWER_TRIANGULAR = 12,
340               MAT_ERROR_LOWER_TRIANGULAR = 13,
341               MAT_GETROW_UPPERTRIANGULAR = 14,
342               MAT_SPD = 15,
343               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
344               MAT_NO_OFF_PROC_ENTRIES = 17,
345               MAT_NEW_NONZERO_LOCATIONS = 18,
346               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
347               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
348               MAT_SUBMAT_SINGLEIS = 21,
349               MAT_OPTION_MAX = 22} MatOption;
350 
351 PETSC_EXTERN const char *MatOptions[];
352 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
353 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
354 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
355 
356 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
357 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
358 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
359 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
360 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
361 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
362 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
366 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
367 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
369 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
370 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
371 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
372 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
373 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
374 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
375 
376 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
382 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
383 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
388 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
389 
390 /*E
391     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
392   its numerical values copied over or just its nonzero structure.
393 
394     Level: beginner
395 
396    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
397 
398 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
399 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
400 $                               have several matrices with the same nonzero pattern.
401 
402 .seealso: MatDuplicate()
403 E*/
404 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
405 
406 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
407 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
408 
409 
410 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
411 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
412 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
418 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
419 
420 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
421 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
424 
425 /*S
426      MatInfo - Context of matrix information, used with MatGetInfo()
427 
428    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
429 
430    Level: intermediate
431 
432   Concepts: matrix^nonzero information
433 
434 .seealso:  MatGetInfo(), MatInfoType
435 S*/
436 typedef struct {
437   PetscLogDouble block_size;                         /* block size */
438   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
439   PetscLogDouble memory;                             /* memory allocated */
440   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
441   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
442   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
443   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
444 } MatInfo;
445 
446 /*E
447     MatInfoType - Indicates if you want information about the local part of the matrix,
448      the entire parallel matrix or the maximum over all the local parts.
449 
450     Level: beginner
451 
452    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
453 
454 .seealso: MatGetInfo(), MatInfo
455 E*/
456 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
457 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
458 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
459 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
460 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
464 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
465 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
466 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
467 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
468 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
469 
470 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
471 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
472 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
473 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
474 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
475 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
476 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
477 
478 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
479 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
480 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
481 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
482 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
483 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
484 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
485 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
486 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
487 
488 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
489 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
490 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
491 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
492 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
493 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
494 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
495 
496 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
497 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
498 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
499 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
500 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
501 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
502 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
503 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
504 
505 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
506 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
507 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
508 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
509 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
510 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
511 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
512 
513 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
514 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
515 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
516 
517 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
520 
521 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
523 
524 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
527 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
530 
531 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
534 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
535 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
536 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
537 
538 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
539 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
540 
541 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
542 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
543 
544 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
545 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
546 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
547 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
550 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
552 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
553 
554 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
555 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
556 
557 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
559 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
560 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
561 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
562 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
563 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
564 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
565 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
566 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
567 
568 /*MC
569    MatSetValue - Set a single entry into a matrix.
570 
571    Not collective
572 
573    Synopsis:
574      #include <petscmat.h>
575      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
576 
577    Input Parameters:
578 +  m - the matrix
579 .  row - the row location of the entry
580 .  col - the column location of the entry
581 .  value - the value to insert
582 -  mode - either INSERT_VALUES or ADD_VALUES
583 
584    Notes:
585    For efficiency one should use MatSetValues() and set several or many
586    values simultaneously if possible.
587 
588    Level: beginner
589 
590 .seealso: MatSetValues(), MatSetValueLocal()
591 M*/
592 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
593 
594 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
595 
596 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
597 
598 /*MC
599    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
600        row in a matrix providing the data that one can use to correctly preallocate the matrix.
601 
602    Synopsis:
603    #include <petscmat.h>
604    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
605 
606    Collective on MPI_Comm
607 
608    Input Parameters:
609 +  comm - the communicator that will share the eventually allocated matrix
610 .  nrows - the number of LOCAL rows in the matrix
611 -  ncols - the number of LOCAL columns in the matrix
612 
613    Output Parameters:
614 +  dnz - the array that will be passed to the matrix preallocation routines
615 -  ozn - the other array passed to the matrix preallocation routines
616 
617    Level: intermediate
618 
619    Notes:
620     See Users-Manual: ch_performance for more details.
621 
622    Do not malloc or free dnz and onz, that is handled internally by these routines
623 
624    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
625 
626    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
627 
628   Concepts: preallocation^Matrix
629 
630 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
631           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
632 M*/
633 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
634 { \
635   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
636   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
637   __start = 0; __end = __start;                                         \
638   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
639   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
640 
641 /*MC
642    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
643        inserted using a local number of the rows and columns
644 
645    Synopsis:
646    #include <petscmat.h>
647    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
648 
649    Not Collective
650 
651    Input Parameters:
652 +  map - the row mapping from local numbering to global numbering
653 .  nrows - the number of rows indicated
654 .  rows - the indices of the rows
655 .  cmap - the column mapping from local to global numbering
656 .  ncols - the number of columns in the matrix
657 .  cols - the columns indicated
658 .  dnz - the array that will be passed to the matrix preallocation routines
659 -  ozn - the other array passed to the matrix preallocation routines
660 
661    Level: intermediate
662 
663    Notes:
664     See Users-Manual: ch_performance for more details.
665 
666    Do not malloc or free dnz and onz, that is handled internally by these routines
667 
668   Concepts: preallocation^Matrix
669 
670 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
671           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
672 M*/
673 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
674 {\
675   PetscInt __l;\
676   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
677   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
678   for (__l=0;__l<nrows;__l++) {\
679     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
680   }\
681 }
682 
683 /*MC
684    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
685        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
686 
687    Synopsis:
688    #include <petscmat.h>
689    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
690 
691    Not Collective
692 
693    Input Parameters:
694 +  map - the row mapping from local numbering to global numbering
695 .  nrows - the number of rows indicated
696 .  rows - the indices of the rows (these values are mapped to the global values)
697 .  cmap - the column mapping from local to global numbering
698 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
699 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
700 .  dnz - the array that will be passed to the matrix preallocation routines
701 -  ozn - the other array passed to the matrix preallocation routines
702 
703    Level: intermediate
704 
705    Notes:
706     See Users-Manual: ch_performance for more details.
707 
708    Do not malloc or free dnz and onz, that is handled internally by these routines
709 
710   Concepts: preallocation^Matrix
711 
712 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
713           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
714 M*/
715 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
716 {\
717   PetscInt __l;\
718   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
719   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
720   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
721   for (__l=0;__l<nrows;__l++) {\
722     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
723   }\
724 }
725 
726 /*MC
727    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
728        inserted using a local number of the rows and columns
729 
730    Synopsis:
731    #include <petscmat.h>
732    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
733 
734    Not Collective
735 
736    Input Parameters:
737 +  map - the row mapping from local numbering to global numbering
738 .  nrows - the number of rows indicated
739 .  rows - the indices of the rows
740 .  cmap - the column mapping from local to global numbering
741 .  ncols - the number of columns in the matrix
742 .  cols - the columns indicated
743 .  dnz - the array that will be passed to the matrix preallocation routines
744 -  ozn - the other array passed to the matrix preallocation routines
745 
746    Level: intermediate
747 
748    Notes:
749     See Users-Manual: ch_performance for more details.
750 
751    Do not malloc or free dnz and onz, that is handled internally by these routines
752 
753   Concepts: preallocation^Matrix
754 
755 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
756           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
757 M*/
758 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
759 {\
760   PetscInt __l;\
761   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
762   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
763   for (__l=0;__l<nrows;__l++) {\
764     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
765   }\
766 }
767 
768 /*MC
769    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
770        inserted using a local number of the rows and columns
771 
772    Synopsis:
773    #include <petscmat.h>
774    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
775 
776    Not Collective
777 
778    Input Parameters:
779 +  map - the mapping between local numbering and global numbering
780 .  nrows - the number of rows indicated
781 .  rows - the indices of the rows
782 .  ncols - the number of columns in the matrix
783 .  cols - the columns indicated
784 .  dnz - the array that will be passed to the matrix preallocation routines
785 -  ozn - the other array passed to the matrix preallocation routines
786 
787    Level: intermediate
788 
789    Notes:
790     See Users-Manual: ch_performance for more details.
791 
792    Do not malloc or free dnz and onz that is handled internally by these routines
793 
794   Concepts: preallocation^Matrix
795 
796 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
797           MatPreallocateInitialize(),  MatPreallocateSetLocal()
798 M*/
799 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
800 {\
801   PetscInt __l;\
802   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
803   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
804   for (__l=0;__l<nrows;__l++) {\
805     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
806   }\
807 }
808 /*MC
809    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
810        inserted using a local number of the rows and columns
811 
812    Synopsis:
813    #include <petscmat.h>
814    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
815 
816    Not Collective
817 
818    Input Parameters:
819 +  row - the row
820 .  ncols - the number of columns in the matrix
821 -  cols - the columns indicated
822 
823    Output Parameters:
824 +  dnz - the array that will be passed to the matrix preallocation routines
825 -  ozn - the other array passed to the matrix preallocation routines
826 
827    Level: intermediate
828 
829    Notes:
830     See Users-Manual: ch_performance for more details.
831 
832    Do not malloc or free dnz and onz that is handled internally by these routines
833 
834    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
835 
836   Concepts: preallocation^Matrix
837 
838 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
839           MatPreallocateInitialize(), MatPreallocateSetLocal()
840 M*/
841 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
842 { PetscInt __i; \
843   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);\
844   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);\
845   for (__i=0; __i<nc; __i++) {\
846     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
847     else dnz[row - __rstart]++;\
848   }\
849 }
850 
851 /*MC
852    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
853        inserted using a local number of the rows and columns
854 
855    Synopsis:
856    #include <petscmat.h>
857    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
858 
859    Not Collective
860 
861    Input Parameters:
862 +  nrows - the number of rows indicated
863 .  rows - the indices of the rows
864 .  ncols - the number of columns in the matrix
865 .  cols - the columns indicated
866 .  dnz - the array that will be passed to the matrix preallocation routines
867 -  ozn - the other array passed to the matrix preallocation routines
868 
869    Level: intermediate
870 
871    Notes:
872     See Users-Manual: ch_performance for more details.
873 
874    Do not malloc or free dnz and onz that is handled internally by these routines
875 
876    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
877 
878   Concepts: preallocation^Matrix
879 
880 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
881           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
882 M*/
883 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
884 { PetscInt __i; \
885   for (__i=0; __i<nc; __i++) {\
886     if (cols[__i] >= __end) onz[row - __rstart]++; \
887     else if (cols[__i] >= row) dnz[row - __rstart]++;\
888   }\
889 }
890 
891 /*MC
892    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
893 
894    Synopsis:
895    #include <petscmat.h>
896    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
897 
898    Not Collective
899 
900    Input Parameters:
901 .  A - matrix
902 .  row - row where values exist (must be local to this process)
903 .  ncols - number of columns
904 .  cols - columns with nonzeros
905 .  dnz - the array that will be passed to the matrix preallocation routines
906 -  ozn - the other array passed to the matrix preallocation routines
907 
908    Level: intermediate
909 
910    Notes:
911     See Users-Manual: ch_performance for more details.
912 
913    Do not malloc or free dnz and onz that is handled internally by these routines
914 
915    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
916 
917   Concepts: preallocation^Matrix
918 
919 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
920           MatPreallocateSymmetricSetLocalBlock()
921 M*/
922 #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);}
923 
924 
925 /*MC
926    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
927        row in a matrix providing the data that one can use to correctly preallocate the matrix.
928 
929    Synopsis:
930    #include <petscmat.h>
931    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
932 
933    Collective on MPI_Comm
934 
935    Input Parameters:
936 +  dnz - the array that was be passed to the matrix preallocation routines
937 -  ozn - the other array passed to the matrix preallocation routines
938 
939    Level: intermediate
940 
941    Notes:
942     See Users-Manual: ch_performance for more details.
943 
944    Do not malloc or free dnz and onz that is handled internally by these routines
945 
946    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
947 
948   Concepts: preallocation^Matrix
949 
950 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
951           MatPreallocateSymmetricSetLocalBlock()
952 M*/
953 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
954 
955 /* Routines unique to particular data structures */
956 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
957 
958 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
959 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
960 
961 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
962 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
963 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
964 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
965 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
966 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
967 
968 #define MAT_SKIP_ALLOCATION -4
969 
970 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
971 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
972 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
973 
974 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
975 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
976 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
977 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
978 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
979 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
980 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
981 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
982 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
983 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
984 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
985 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
986 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
987 
988 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
989 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
990 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
991 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
992 
993 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
994 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
995 
996 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
997 
998 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
999 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1000 /*
1001   These routines are not usually accessed directly, rather solving is
1002   done through the KSP and PC interfaces.
1003 */
1004 
1005 /*J
1006     MatOrderingType - String with the name of a PETSc matrix ordering
1007 
1008    Level: beginner
1009 
1010 .seealso: MatGetOrdering()
1011 J*/
1012 typedef const char* MatOrderingType;
1013 #define MATORDERINGNATURAL     "natural"
1014 #define MATORDERINGND          "nd"
1015 #define MATORDERING1WD         "1wd"
1016 #define MATORDERINGRCM         "rcm"
1017 #define MATORDERINGQMD         "qmd"
1018 #define MATORDERINGROWLENGTH   "rowlength"
1019 #define MATORDERINGWBM         "wbm"
1020 #define MATORDERINGSPECTRAL    "spectral"
1021 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1022 
1023 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1024 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1025 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1026 PETSC_EXTERN PetscFunctionList MatOrderingList;
1027 
1028 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1029 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1030 
1031 /*S
1032     MatFactorShiftType - Numeric Shift.
1033 
1034    Level: beginner
1035 
1036 S*/
1037 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1038 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1039 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1040 
1041 /*S
1042     MatFactorError - indicates what type of error in matrix factor
1043 
1044     Level: beginner
1045 
1046     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1047 
1048 .seealso: MatGetFactor()
1049 S*/
1050 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1051 
1052 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1053 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1054 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1055 
1056 /*S
1057    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1058 
1059    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1060 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1061 
1062    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1063 
1064       You can use MatFactorInfoInitialize() to set default values.
1065 
1066    Level: developer
1067 
1068 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1069           MatFactorInfoInitialize()
1070 
1071 S*/
1072 typedef struct {
1073   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1074   PetscReal     usedt;
1075   PetscReal     dt;             /* drop tolerance */
1076   PetscReal     dtcol;          /* tolerance for pivoting */
1077   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1078   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1079   PetscReal     levels;         /* ICC/ILU(levels) */
1080   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1081                                    factorization may be faster if do not pivot */
1082   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1083   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1084   PetscReal     shiftamount;     /* how large the shift is */
1085 } MatFactorInfo;
1086 
1087 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1088 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1089 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1090 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1091 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1092 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1093 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1094 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1095 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1096 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1097 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1098 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1099 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1100 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1101 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1102 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1103 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1104 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1105 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1106 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1107 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1108 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1109 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1110 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1111 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1112 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1113 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1114 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
1115 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1116 
1117 /*E
1118     MatSORType - What type of (S)SOR to perform
1119 
1120     Level: beginner
1121 
1122    May be bitwise ORd together
1123 
1124    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1125 
1126    MatSORType may be bitwise ORd together, so do not change the numbers
1127 
1128 .seealso: MatSOR()
1129 E*/
1130 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1131               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1132               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1133               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1134 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1135 
1136 /*
1137     These routines are for efficiently computing Jacobians via finite differences.
1138 */
1139 
1140 /*S
1141      MatColoring - Object for managing the coloring of matrices.
1142 
1143    Level: beginner
1144 
1145   Concepts: matrix, coloring
1146 
1147 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1148 S*/
1149 typedef struct _p_MatColoring* MatColoring;
1150 /*J
1151     MatColoringType - String with the name of a PETSc matrix coloring
1152 
1153    Level: beginner
1154 
1155 .seealso: MatColoringSetType(), MatColoring
1156 J*/
1157 
1158 typedef const  char*           MatColoringType;
1159 #define MATCOLORINGJP      "jp"
1160 #define MATCOLORINGPOWER   "power"
1161 #define MATCOLORINGNATURAL "natural"
1162 #define MATCOLORINGSL      "sl"
1163 #define MATCOLORINGLF      "lf"
1164 #define MATCOLORINGID      "id"
1165 #define MATCOLORINGGREEDY  "greedy"
1166 
1167 /*E
1168    MatColoringWeightType - Type of weight scheme
1169 
1170     Not Collective
1171 
1172 +   MAT_COLORING_RANDOM  - Random weights
1173 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1174 -   MAT_COLORING_LF      - Last-first weighting.
1175 
1176     Level: intermediate
1177 
1178    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1179 
1180 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1181 E*/
1182 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1183 
1184 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1185 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1186 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1187 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1188 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1189 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1190 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1191 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1192 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1193 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1194 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1195 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1196 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1197 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1198 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1199 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1200 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1201 
1202 /*S
1203      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1204         and coloring
1205 
1206    Level: beginner
1207 
1208   Concepts: coloring, sparse Jacobian, finite differences
1209 
1210 .seealso:  MatFDColoringCreate()
1211 S*/
1212 typedef struct _p_MatFDColoring* MatFDColoring;
1213 
1214 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1215 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1216 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1217 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1218 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1219 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1220 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1221 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1222 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1223 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1224 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1225 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1226 
1227 
1228 /*S
1229      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1230 
1231    Level: beginner
1232 
1233   Concepts: coloring, sparse matrix product
1234 
1235 .seealso:  MatTransposeColoringCreate()
1236 S*/
1237 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1238 
1239 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1240 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1241 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1242 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1243 
1244 /*
1245     These routines are for partitioning matrices: currently used only
1246   for adjacency matrix, MatCreateMPIAdj().
1247 */
1248 
1249 /*S
1250      MatPartitioning - Object for managing the partitioning of a matrix or graph
1251 
1252    Level: beginner
1253 
1254   Concepts: partitioning
1255 
1256 .seealso:  MatPartitioningCreate(), MatPartitioningType
1257 S*/
1258 typedef struct _p_MatPartitioning* MatPartitioning;
1259 
1260 /*J
1261     MatPartitioningType - String with the name of a PETSc matrix partitioning
1262 
1263    Level: beginner
1264 dm
1265 .seealso: MatPartitioningCreate(), MatPartitioning
1266 J*/
1267 typedef const char* MatPartitioningType;
1268 #define MATPARTITIONINGCURRENT  "current"
1269 #define MATPARTITIONINGAVERAGE   "average"
1270 #define MATPARTITIONINGSQUARE   "square"
1271 #define MATPARTITIONINGPARMETIS "parmetis"
1272 #define MATPARTITIONINGCHACO    "chaco"
1273 #define MATPARTITIONINGPARTY    "party"
1274 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1275 #define MATPARTITIONINGHIERARCH  "hierarch"
1276 
1277 
1278 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1279 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1280 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1281 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1282 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1283 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1284 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1286 
1287 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1288 
1289 
1290 
1291 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1292 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1293 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1294 
1295 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1296 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1297 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1298 
1299 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1300 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1301 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1302 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1303 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1304 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1305 
1306 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1307 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1308 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1309 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1310 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1311 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1312 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1313 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1314 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1315 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1316 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1317 
1318 #define MP_PARTY_OPT "opt"
1319 #define MP_PARTY_LIN "lin"
1320 #define MP_PARTY_SCA "sca"
1321 #define MP_PARTY_RAN "ran"
1322 #define MP_PARTY_GBF "gbf"
1323 #define MP_PARTY_GCF "gcf"
1324 #define MP_PARTY_BUB "bub"
1325 #define MP_PARTY_DEF "def"
1326 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1327 #define MP_PARTY_HELPFUL_SETS "hs"
1328 #define MP_PARTY_KERNIGHAN_LIN "kl"
1329 #define MP_PARTY_NONE "no"
1330 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1331 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1332 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1333 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1334 
1335 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1336 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1337 
1338 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1339 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1340 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1341 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1342 
1343 /*
1344  * hierarchical partitioning
1345  */
1346 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1347 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1348 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1349 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1350 
1351 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1352 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1353 
1354 /*
1355     If you add entries here you must also add them to petsc/finclude/petscmat.h
1356 */
1357 typedef enum { MATOP_SET_VALUES=0,
1358                MATOP_GET_ROW=1,
1359                MATOP_RESTORE_ROW=2,
1360                MATOP_MULT=3,
1361                MATOP_MULT_ADD=4,
1362                MATOP_MULT_TRANSPOSE=5,
1363                MATOP_MULT_TRANSPOSE_ADD=6,
1364                MATOP_SOLVE=7,
1365                MATOP_SOLVE_ADD=8,
1366                MATOP_SOLVE_TRANSPOSE=9,
1367                MATOP_SOLVE_TRANSPOSE_ADD=10,
1368                MATOP_LUFACTOR=11,
1369                MATOP_CHOLESKYFACTOR=12,
1370                MATOP_SOR=13,
1371                MATOP_TRANSPOSE=14,
1372                MATOP_GETINFO=15,
1373                MATOP_EQUAL=16,
1374                MATOP_GET_DIAGONAL=17,
1375                MATOP_DIAGONAL_SCALE=18,
1376                MATOP_NORM=19,
1377                MATOP_ASSEMBLY_BEGIN=20,
1378                MATOP_ASSEMBLY_END=21,
1379                MATOP_SET_OPTION=22,
1380                MATOP_ZERO_ENTRIES=23,
1381                MATOP_ZERO_ROWS=24,
1382                MATOP_LUFACTOR_SYMBOLIC=25,
1383                MATOP_LUFACTOR_NUMERIC=26,
1384                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1385                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1386                MATOP_SETUP_PREALLOCATION=29,
1387                MATOP_ILUFACTOR_SYMBOLIC=30,
1388                MATOP_ICCFACTOR_SYMBOLIC=31,
1389                MATOP_GET_DIAGONAL_BLOCK=32,
1390                /* MATOP_PLACEHOLDER_33=33, */
1391                MATOP_DUPLICATE=34,
1392                MATOP_FORWARD_SOLVE=35,
1393                MATOP_BACKWARD_SOLVE=36,
1394                MATOP_ILUFACTOR=37,
1395                MATOP_ICCFACTOR=38,
1396                MATOP_AXPY=39,
1397                MATOP_GET_SUBMATRICES=40,
1398                MATOP_INCREASE_OVERLAP=41,
1399                MATOP_GET_VALUES=42,
1400                MATOP_COPY=43,
1401                MATOP_GET_ROW_MAX=44,
1402                MATOP_SCALE=45,
1403                MATOP_SHIFT=46,
1404                MATOP_DIAGONAL_SET=47,
1405                MATOP_ZERO_ROWS_COLUMNS=48,
1406                MATOP_SET_RANDOM=49,
1407                MATOP_GET_ROW_IJ=50,
1408                MATOP_RESTORE_ROW_IJ=51,
1409                MATOP_GET_COLUMN_IJ=52,
1410                MATOP_RESTORE_COLUMN_IJ=53,
1411                MATOP_FDCOLORING_CREATE=54,
1412                MATOP_COLORING_PATCH=55,
1413                MATOP_SET_UNFACTORED=56,
1414                MATOP_PERMUTE=57,
1415                MATOP_SET_VALUES_BLOCKED=58,
1416                MATOP_GET_SUBMATRIX=59,
1417                MATOP_DESTROY=60,
1418                MATOP_VIEW=61,
1419                MATOP_CONVERT_FROM=62,
1420                MATOP_MATMAT_MULT=63,
1421                MATOP_MATMAT_MULT_SYMBOLIC=64,
1422                MATOP_MATMAT_MULT_NUMERIC=65,
1423                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1424                MATOP_SET_VALUES_LOCAL=67,
1425                MATOP_ZERO_ROWS_LOCAL=68,
1426                MATOP_GET_ROW_MAX_ABS=69,
1427                MATOP_GET_ROW_MIN_ABS=70,
1428                MATOP_CONVERT=71,
1429                MATOP_SET_COLORING=72,
1430                /* MATOP_PLACEHOLDER_73=73, */
1431                MATOP_SET_VALUES_ADIFOR=74,
1432                MATOP_FD_COLORING_APPLY=75,
1433                MATOP_SET_FROM_OPTIONS=76,
1434                MATOP_MULT_CONSTRAINED=77,
1435                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1436                MATOP_FIND_ZERO_DIAGONALS=79,
1437                MATOP_MULT_MULTIPLE=80,
1438                MATOP_SOLVE_MULTIPLE=81,
1439                MATOP_GET_INERTIA=82,
1440                MATOP_LOAD=83,
1441                MATOP_IS_SYMMETRIC=84,
1442                MATOP_IS_HERMITIAN=85,
1443                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1444                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1445                MATOP_GET_VECS=88,
1446                MATOP_MAT_MULT=89,
1447                MATOP_MAT_MULT_SYMBOLIC=90,
1448                MATOP_MAT_MULT_NUMERIC=91,
1449                MATOP_PTAP=92,
1450                MATOP_PTAP_SYMBOLIC=93,
1451                MATOP_PTAP_NUMERIC=94,
1452                MATOP_MAT_TRANSPOSE_MULT=95,
1453                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1454                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1455                /* MATOP_PLACEHOLDER_98=98, */
1456                /* MATOP_PLACEHOLDER_99=99, */
1457                /* MATOP_PLACEHOLDER_100=100, */
1458                /* MATOP_PLACEHOLDER_101=101, */
1459                MATOP_CONJUGATE=102,
1460                /* MATOP_PLACEHOLDER_103=103, */
1461                MATOP_SET_VALUES_ROW=104,
1462                MATOP_REAL_PART=105,
1463                MATOP_IMAGINARY_PART=106,
1464                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1465                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1466                MATOP_MAT_SOLVE=109,
1467                MATOP_GET_REDUNDANT_MATRIX=110,
1468                MATOP_GET_ROW_MIN=111,
1469                MATOP_GET_COLUMN_VECTOR=112,
1470                MATOP_MISSING_DIAGONAL=113,
1471                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1472                MATOP_CREATE=115,
1473                MATOP_GET_GHOSTS=116,
1474                MATOP_GET_LOCAL_SUB_MATRIX=117,
1475                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1476                MATOP_MULT_DIAGONAL_BLOCK=119,
1477                MATOP_HERMITIAN_TRANSPOSE=120,
1478                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1479                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1480                MATOP_GET_MULTI_PROC_BLOCK=123,
1481                MATOP_FIND_NONZERO_ROWS=124,
1482                MATOP_GET_COLUMN_NORMS=125,
1483                MATOP_INVERT_BLOCK_DIAGONAL=126,
1484                /* MATOP_PLACEHOLDER_127=127, */
1485                MATOP_GET_SUB_MATRICES_PARALLE=128,
1486                MATOP_SET_VALUES_BATCH=129,
1487                MATOP_TRANSPOSE_MAT_MULT=130,
1488                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1489                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1490                MATOP_TRANSPOSE_COLORING_CREAT=133,
1491                MATOP_TRANS_COLORING_APPLY_SPT=134,
1492                MATOP_TRANS_COLORING_APPLY_DEN=135,
1493                MATOP_RART=136,
1494                MATOP_RART_SYMBOLIC=137,
1495                MATOP_RART_NUMERIC=138,
1496                MATOP_SET_BLOCK_SIZES=139,
1497                MATOP_AYPX=140,
1498                MATOP_RESIDUAL=141,
1499                MATOP_FDCOLORING_SETUP=142,
1500                MATOP_MPICONCATENATESEQ=144
1501              } MatOperation;
1502 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1503 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1504 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1505 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1506 
1507 /*
1508    Codes for matrices stored on disk. By default they are
1509    stored in a universal format. By changing the format with
1510    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1511    be stored in a way natural for the matrix, for example dense matrices
1512    would be stored as dense. Matrices stored this way may only be
1513    read into matrices of the same type.
1514 */
1515 #define MATRIX_BINARY_FORMAT_DENSE -1
1516 
1517 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1518 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1519 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1520 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1521 
1522 /*S
1523      MatNullSpace - Object that removes a null space from a vector, i.e.
1524          orthogonalizes the vector to a subsapce
1525 
1526    Level: advanced
1527 
1528   Concepts: matrix; linear operator, null space
1529 
1530   Users manual sections:
1531 .   sec_singular
1532 
1533 .seealso:  MatNullSpaceCreate()
1534 S*/
1535 typedef struct _p_MatNullSpace* MatNullSpace;
1536 
1537 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1538 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1539 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1540 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1541 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1542 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1543 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1544 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1545 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1546 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1547 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1548 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1549 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1550 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1551 
1552 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1553 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1554 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1555 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1556 
1557 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1558 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1559 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1560 
1561 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1562 
1563 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1564 
1565 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1566 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1567 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1568 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1569 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1570 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1571 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1572 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1573 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1574 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1575 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1576 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1577 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1578 
1579 /*S
1580     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1581               Jacobian vector products
1582 
1583     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1584 
1585            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1586 
1587     Level: developer
1588 
1589 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1590 S*/
1591 typedef struct _p_MatMFFD* MatMFFD;
1592 
1593 /*J
1594     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1595 
1596    Level: beginner
1597 
1598 .seealso: MatMFFDSetType(), MatMFFDRegister()
1599 J*/
1600 typedef const char* MatMFFDType;
1601 #define MATMFFD_DS  "ds"
1602 #define MATMFFD_WP  "wp"
1603 
1604 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1605 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1606 
1607 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1608 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1609 
1610 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1611 
1612 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1613 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1614 
1615 /*
1616    PETSc interface to MUMPS
1617 */
1618 #ifdef PETSC_HAVE_MUMPS
1619 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1620 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1621 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1622 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1623 
1624 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1625 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1626 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1627 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1628 #endif
1629 
1630 /*
1631    PETSc interface to Mkl_Pardiso
1632 */
1633 #ifdef PETSC_HAVE_MKL_PARDISO
1634 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1635 #endif
1636 
1637 /*
1638    PETSc interface to Mkl_CPardiso
1639 */
1640 #ifdef PETSC_HAVE_MKL_CPARDISO
1641 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1642 #endif
1643 
1644 /*
1645    PETSc interface to SUPERLU
1646 */
1647 #ifdef PETSC_HAVE_SUPERLU
1648 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1649 #endif
1650 
1651 /*
1652    PETSc interface to SUPERLU_DIST
1653 */
1654 #ifdef PETSC_HAVE_SUPERLU_DIST
1655 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1656 #endif
1657 
1658 /*
1659    PETSc interface to STRUMPACK
1660 */
1661 #ifdef PETSC_HAVE_STRUMPACK
1662 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1663 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1664 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1665 #endif
1666 
1667 
1668 #ifdef PETSC_HAVE_CUDA
1669 /*E
1670     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1671     matrices.
1672 
1673     Not Collective
1674 
1675 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1676 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1677 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1678 
1679     Level: intermediate
1680 
1681    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1682 
1683 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1684 E*/
1685 
1686 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1687 
1688 /* these will be strings associated with enumerated type defined above */
1689 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1690 
1691 /*E
1692     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1693     matrices whose operation should use a particular storage format.
1694 
1695     Not Collective
1696 
1697 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1698 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1699 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1700 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1701 
1702     Level: intermediate
1703 
1704 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1705 E*/
1706 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1707 
1708 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1709 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1710 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1711 #endif
1712 
1713 #if defined(PETSC_HAVE_CUSP)
1714 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1715 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1716 
1717 /*E
1718     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1719     matrices.
1720 
1721     Not Collective
1722 
1723 +   MAT_CUSP_CSR - Compressed Sparse Row
1724 .   MAT_CUSP_DIA - Diagonal
1725 -   MAT_CUSP_ELL - Ellpack
1726 
1727     Level: intermediate
1728 
1729    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1730 
1731 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1732 E*/
1733 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1734 
1735 /* these will be strings associated with enumerated type defined above */
1736 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1737 
1738 /*E
1739     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1740     matrices whose operation should use a particular storage format.
1741 
1742     Not Collective
1743 
1744 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1745 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1746 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1747 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1748 
1749     Level: intermediate
1750 
1751    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1752 
1753 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1754 E*/
1755 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1756 
1757 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1758 #endif
1759 
1760 #if defined(PETSC_HAVE_VIENNACL)
1761 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1762 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1763 #endif
1764 
1765 /*
1766    PETSc interface to FFTW
1767 */
1768 #if defined(PETSC_HAVE_FFTW)
1769 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1770 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1771 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1772 #endif
1773 
1774 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1775 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1776 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1777 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1778 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1779 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1780 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1781 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1782 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1783 
1784 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1785 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1786 
1787 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1788 
1789 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1790 
1791 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1792 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1793 
1794 #endif
1795