xref: /petsc/include/petscmat.h (revision cf37664f2dbf3effe674ec5ac2718028c1621ae0)
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(), 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 MatDenseGetArray(Mat,PetscScalar *[]);
367 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
369 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
370 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
371 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
372 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
373 
374 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
380 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
381 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
386 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
387 
388 /*E
389     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
390   its numerical values copied over or just its nonzero structure.
391 
392     Level: beginner
393 
394    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
395 
396 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
397 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
398 $                               have several matrices with the same nonzero pattern.
399 
400 .seealso: MatDuplicate()
401 E*/
402 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
403 
404 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
405 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
406 
407 
408 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
409 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
410 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
411 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
412 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
416 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
417 
418 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
419 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
420 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
421 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 
423 /*S
424      MatInfo - Context of matrix information, used with MatGetInfo()
425 
426    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
427 
428    Level: intermediate
429 
430   Concepts: matrix^nonzero information
431 
432 .seealso:  MatGetInfo(), MatInfoType
433 S*/
434 typedef struct {
435   PetscLogDouble block_size;                         /* block size */
436   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
437   PetscLogDouble memory;                             /* memory allocated */
438   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
439   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
440   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
441   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
442 } MatInfo;
443 
444 /*E
445     MatInfoType - Indicates if you want information about the local part of the matrix,
446      the entire parallel matrix or the maximum over all the local parts.
447 
448     Level: beginner
449 
450    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
451 
452 .seealso: MatGetInfo(), MatInfo
453 E*/
454 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
455 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
456 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
457 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
458 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
459 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
460 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
462 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
463 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
464 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
465 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
466 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
467 
468 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
469 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
470 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
471 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
472 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
473 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
474 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
475 
476 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
477 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
478 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
479 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
480 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
481 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
482 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
483 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
484 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
485 
486 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
487 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
488 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
489 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
490 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
491 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
492 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
493 
494 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
495 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
496 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
497 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
498 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
499 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
500 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
501 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
502 
503 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
504 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
505 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
506 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
507 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
508 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
509 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
510 
511 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
512 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
513 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
514 
515 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
518 
519 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
521 
522 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
525 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
528 
529 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
532 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
534 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
535 
536 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
537 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
538 
539 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
540 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
541 
542 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
543 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
544 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
550 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
551 
552 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
553 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
554 
555 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
559 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
560 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
561 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
562 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
563 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
564 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
565 
566 /*MC
567    MatSetValue - Set a single entry into a matrix.
568 
569    Not collective
570 
571    Synopsis:
572      #include <petscmat.h>
573      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
574 
575    Input Parameters:
576 +  m - the matrix
577 .  row - the row location of the entry
578 .  col - the column location of the entry
579 .  value - the value to insert
580 -  mode - either INSERT_VALUES or ADD_VALUES
581 
582    Notes:
583    For efficiency one should use MatSetValues() and set several or many
584    values simultaneously if possible.
585 
586    Level: beginner
587 
588 .seealso: MatSetValues(), MatSetValueLocal()
589 M*/
590 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
591 
592 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
593 
594 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
595 
596 /*MC
597    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
598        row in a matrix providing the data that one can use to correctly preallocate the matrix.
599 
600    Synopsis:
601    #include <petscmat.h>
602    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
603 
604    Collective on MPI_Comm
605 
606    Input Parameters:
607 +  comm - the communicator that will share the eventually allocated matrix
608 .  nrows - the number of LOCAL rows in the matrix
609 -  ncols - the number of LOCAL columns in the matrix
610 
611    Output Parameters:
612 +  dnz - the array that will be passed to the matrix preallocation routines
613 -  ozn - the other array passed to the matrix preallocation routines
614 
615    Level: intermediate
616 
617    Notes:
618     See Users-Manual: ch_performance for more details.
619 
620    Do not malloc or free dnz and onz, that is handled internally by these routines
621 
622    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
623 
624    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
625 
626   Concepts: preallocation^Matrix
627 
628 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
629           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
630 M*/
631 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
632 { \
633   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
634   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
635   __start = 0; __end = __start;                                         \
636   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
637   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
638 
639 /*MC
640    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
641        inserted using a local number of the rows and columns
642 
643    Synopsis:
644    #include <petscmat.h>
645    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
646 
647    Not Collective
648 
649    Input Parameters:
650 +  map - the row mapping from local numbering to global numbering
651 .  nrows - the number of rows indicated
652 .  rows - the indices of the rows
653 .  cmap - the column mapping from local to global numbering
654 .  ncols - the number of columns in the matrix
655 .  cols - the columns indicated
656 .  dnz - the array that will be passed to the matrix preallocation routines
657 -  ozn - the other array passed to the matrix preallocation routines
658 
659    Level: intermediate
660 
661    Notes:
662     See Users-Manual: ch_performance for more details.
663 
664    Do not malloc or free dnz and onz, that is handled internally by these routines
665 
666   Concepts: preallocation^Matrix
667 
668 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
669           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
670 M*/
671 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
672 {\
673   PetscInt __l;\
674   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
675   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
676   for (__l=0;__l<nrows;__l++) {\
677     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
678   }\
679 }
680 
681 /*MC
682    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
683        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
684 
685    Synopsis:
686    #include <petscmat.h>
687    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
688 
689    Not Collective
690 
691    Input Parameters:
692 +  map - the row mapping from local numbering to global numbering
693 .  nrows - the number of rows indicated
694 .  rows - the indices of the rows (these values are mapped to the global values)
695 .  cmap - the column mapping from local to global numbering
696 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
697 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
698 .  dnz - the array that will be passed to the matrix preallocation routines
699 -  ozn - the other array passed to the matrix preallocation routines
700 
701    Level: intermediate
702 
703    Notes:
704     See Users-Manual: ch_performance for more details.
705 
706    Do not malloc or free dnz and onz, that is handled internally by these routines
707 
708   Concepts: preallocation^Matrix
709 
710 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
711           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
712 M*/
713 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
714 {\
715   PetscInt __l;\
716   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
717   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
718   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
719   for (__l=0;__l<nrows;__l++) {\
720     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
721   }\
722 }
723 
724 /*MC
725    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
726        inserted using a local number of the rows and columns
727 
728    Synopsis:
729    #include <petscmat.h>
730    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
731 
732    Not Collective
733 
734    Input Parameters:
735 +  map - the row mapping from local numbering to global numbering
736 .  nrows - the number of rows indicated
737 .  rows - the indices of the rows
738 .  cmap - the column mapping from local to global numbering
739 .  ncols - the number of columns in the matrix
740 .  cols - the columns indicated
741 .  dnz - the array that will be passed to the matrix preallocation routines
742 -  ozn - the other array passed to the matrix preallocation routines
743 
744    Level: intermediate
745 
746    Notes:
747     See Users-Manual: ch_performance for more details.
748 
749    Do not malloc or free dnz and onz, that is handled internally by these routines
750 
751   Concepts: preallocation^Matrix
752 
753 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
754           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
755 M*/
756 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
757 {\
758   PetscInt __l;\
759   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
760   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
761   for (__l=0;__l<nrows;__l++) {\
762     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
763   }\
764 }
765 
766 /*MC
767    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
768        inserted using a local number of the rows and columns
769 
770    Synopsis:
771    #include <petscmat.h>
772    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
773 
774    Not Collective
775 
776    Input Parameters:
777 +  map - the mapping between local numbering and global numbering
778 .  nrows - the number of rows indicated
779 .  rows - the indices of the rows
780 .  ncols - the number of columns in the matrix
781 .  cols - the columns indicated
782 .  dnz - the array that will be passed to the matrix preallocation routines
783 -  ozn - the other array passed to the matrix preallocation routines
784 
785    Level: intermediate
786 
787    Notes:
788     See Users-Manual: ch_performance for more details.
789 
790    Do not malloc or free dnz and onz that is handled internally by these routines
791 
792   Concepts: preallocation^Matrix
793 
794 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
795           MatPreallocateInitialize(),  MatPreallocateSetLocal()
796 M*/
797 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
798 {\
799   PetscInt __l;\
800   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
801   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
802   for (__l=0;__l<nrows;__l++) {\
803     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
804   }\
805 }
806 /*MC
807    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
808        inserted using a local number of the rows and columns
809 
810    Synopsis:
811    #include <petscmat.h>
812    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
813 
814    Not Collective
815 
816    Input Parameters:
817 +  row - the row
818 .  ncols - the number of columns in the matrix
819 -  cols - the columns indicated
820 
821    Output Parameters:
822 +  dnz - the array that will be passed to the matrix preallocation routines
823 -  ozn - the other array passed to the matrix preallocation routines
824 
825    Level: intermediate
826 
827    Notes:
828     See Users-Manual: ch_performance for more details.
829 
830    Do not malloc or free dnz and onz that is handled internally by these routines
831 
832    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
833 
834   Concepts: preallocation^Matrix
835 
836 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
837           MatPreallocateInitialize(), MatPreallocateSetLocal()
838 M*/
839 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
840 { PetscInt __i; \
841   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);\
842   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);\
843   for (__i=0; __i<nc; __i++) {\
844     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
845     else dnz[row - __rstart]++;\
846   }\
847 }
848 
849 /*MC
850    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
851        inserted using a local number of the rows and columns
852 
853    Synopsis:
854    #include <petscmat.h>
855    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
856 
857    Not Collective
858 
859    Input Parameters:
860 +  nrows - the number of rows indicated
861 .  rows - the indices of the rows
862 .  ncols - the number of columns in the matrix
863 .  cols - the columns indicated
864 .  dnz - the array that will be passed to the matrix preallocation routines
865 -  ozn - the other array passed to the matrix preallocation routines
866 
867    Level: intermediate
868 
869    Notes:
870     See Users-Manual: ch_performance for more details.
871 
872    Do not malloc or free dnz and onz that is handled internally by these routines
873 
874    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
875 
876   Concepts: preallocation^Matrix
877 
878 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
879           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
880 M*/
881 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
882 { PetscInt __i; \
883   for (__i=0; __i<nc; __i++) {\
884     if (cols[__i] >= __end) onz[row - __rstart]++; \
885     else if (cols[__i] >= row) dnz[row - __rstart]++;\
886   }\
887 }
888 
889 /*MC
890    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
891 
892    Synopsis:
893    #include <petscmat.h>
894    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
895 
896    Not Collective
897 
898    Input Parameters:
899 .  A - matrix
900 .  row - row where values exist (must be local to this process)
901 .  ncols - number of columns
902 .  cols - columns with nonzeros
903 .  dnz - the array that will be passed to the matrix preallocation routines
904 -  ozn - the other array passed to the matrix preallocation routines
905 
906    Level: intermediate
907 
908    Notes:
909     See Users-Manual: ch_performance for more details.
910 
911    Do not malloc or free dnz and onz that is handled internally by these routines
912 
913    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
914 
915   Concepts: preallocation^Matrix
916 
917 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
918           MatPreallocateSymmetricSetLocalBlock()
919 M*/
920 #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);}
921 
922 
923 /*MC
924    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
925        row in a matrix providing the data that one can use to correctly preallocate the matrix.
926 
927    Synopsis:
928    #include <petscmat.h>
929    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
930 
931    Collective on MPI_Comm
932 
933    Input Parameters:
934 +  dnz - the array that was be passed to the matrix preallocation routines
935 -  ozn - the other array passed to the matrix preallocation routines
936 
937    Level: intermediate
938 
939    Notes:
940     See Users-Manual: ch_performance for more details.
941 
942    Do not malloc or free dnz and onz that is handled internally by these routines
943 
944    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
945 
946   Concepts: preallocation^Matrix
947 
948 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
949           MatPreallocateSymmetricSetLocalBlock()
950 M*/
951 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
952 
953 /* Routines unique to particular data structures */
954 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
955 
956 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
957 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
958 
959 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
960 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
961 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
962 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
963 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
964 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
965 
966 #define MAT_SKIP_ALLOCATION -4
967 
968 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
969 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
970 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
971 
972 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
973 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
974 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
975 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
976 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
977 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
978 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
979 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
980 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
981 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
982 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
983 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
984 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
985 
986 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
987 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
988 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
989 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
990 
991 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
992 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
993 
994 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
995 
996 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
997 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
998 /*
999   These routines are not usually accessed directly, rather solving is
1000   done through the KSP and PC interfaces.
1001 */
1002 
1003 /*J
1004     MatOrderingType - String with the name of a PETSc matrix ordering
1005 
1006    Level: beginner
1007 
1008 .seealso: MatGetOrdering()
1009 J*/
1010 typedef const char* MatOrderingType;
1011 #define MATORDERINGNATURAL     "natural"
1012 #define MATORDERINGND          "nd"
1013 #define MATORDERING1WD         "1wd"
1014 #define MATORDERINGRCM         "rcm"
1015 #define MATORDERINGQMD         "qmd"
1016 #define MATORDERINGROWLENGTH   "rowlength"
1017 #define MATORDERINGWBM         "wbm"
1018 #define MATORDERINGSPECTRAL    "spectral"
1019 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1020 
1021 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1022 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1023 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1024 PETSC_EXTERN PetscFunctionList MatOrderingList;
1025 
1026 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1027 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1028 
1029 /*S
1030     MatFactorShiftType - Numeric Shift.
1031 
1032    Level: beginner
1033 
1034 S*/
1035 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1036 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1037 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1038 
1039 /*S
1040     MatFactorError - indicates what type of error in matrix factor
1041 
1042     Level: beginner
1043 
1044     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1045 
1046 .seealso: MatGetFactor()
1047 S*/
1048 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1049 
1050 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1051 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1052 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1053 
1054 /*S
1055    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1056 
1057    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1058 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1059 
1060    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1061 
1062       You can use MatFactorInfoInitialize() to set default values.
1063 
1064    Level: developer
1065 
1066 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1067           MatFactorInfoInitialize()
1068 
1069 S*/
1070 typedef struct {
1071   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1072   PetscReal     usedt;
1073   PetscReal     dt;             /* drop tolerance */
1074   PetscReal     dtcol;          /* tolerance for pivoting */
1075   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1076   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1077   PetscReal     levels;         /* ICC/ILU(levels) */
1078   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1079                                    factorization may be faster if do not pivot */
1080   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1081   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1082   PetscReal     shiftamount;     /* how large the shift is */
1083 } MatFactorInfo;
1084 
1085 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1086 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1087 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1088 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1089 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1090 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1091 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1092 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1093 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1094 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1095 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1096 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1097 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1098 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1099 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1100 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1101 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1102 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1103 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1104 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1105 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1106 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1107 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1108 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1109 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1110 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1111 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1112 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
1113 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1114 
1115 /*E
1116     MatSORType - What type of (S)SOR to perform
1117 
1118     Level: beginner
1119 
1120    May be bitwise ORd together
1121 
1122    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1123 
1124    MatSORType may be bitwise ORd together, so do not change the numbers
1125 
1126 .seealso: MatSOR()
1127 E*/
1128 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1129               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1130               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1131               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1132 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1133 
1134 /*
1135     These routines are for efficiently computing Jacobians via finite differences.
1136 */
1137 
1138 /*S
1139      MatColoring - Object for managing the coloring of matrices.
1140 
1141    Level: beginner
1142 
1143   Concepts: matrix, coloring
1144 
1145 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1146 S*/
1147 typedef struct _p_MatColoring* MatColoring;
1148 /*J
1149     MatColoringType - String with the name of a PETSc matrix coloring
1150 
1151    Level: beginner
1152 
1153 .seealso: MatColoringSetType(), MatColoring
1154 J*/
1155 
1156 typedef const  char*           MatColoringType;
1157 #define MATCOLORINGJP      "jp"
1158 #define MATCOLORINGPOWER   "power"
1159 #define MATCOLORINGNATURAL "natural"
1160 #define MATCOLORINGSL      "sl"
1161 #define MATCOLORINGLF      "lf"
1162 #define MATCOLORINGID      "id"
1163 #define MATCOLORINGGREEDY  "greedy"
1164 
1165 /*E
1166    MatColoringWeightType - Type of weight scheme
1167 
1168     Not Collective
1169 
1170 +   MAT_COLORING_RANDOM  - Random weights
1171 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1172 -   MAT_COLORING_LF      - Last-first weighting.
1173 
1174     Level: intermediate
1175 
1176    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1177 
1178 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1179 E*/
1180 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1181 
1182 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1183 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1184 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1185 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1186 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1187 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1188 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1189 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1190 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1191 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1192 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1193 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1194 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1195 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1196 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1197 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1198 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1199 
1200 /*S
1201      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1202         and coloring
1203 
1204    Level: beginner
1205 
1206   Concepts: coloring, sparse Jacobian, finite differences
1207 
1208 .seealso:  MatFDColoringCreate()
1209 S*/
1210 typedef struct _p_MatFDColoring* MatFDColoring;
1211 
1212 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1213 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1214 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1215 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1216 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1217 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1218 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1219 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1220 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1221 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1222 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1223 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1224 
1225 
1226 /*S
1227      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1228 
1229    Level: beginner
1230 
1231   Concepts: coloring, sparse matrix product
1232 
1233 .seealso:  MatTransposeColoringCreate()
1234 S*/
1235 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1236 
1237 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1238 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1239 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1240 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1241 
1242 /*
1243     These routines are for partitioning matrices: currently used only
1244   for adjacency matrix, MatCreateMPIAdj().
1245 */
1246 
1247 /*S
1248      MatPartitioning - Object for managing the partitioning of a matrix or graph
1249 
1250    Level: beginner
1251 
1252   Concepts: partitioning
1253 
1254 .seealso:  MatPartitioningCreate(), MatPartitioningType
1255 S*/
1256 typedef struct _p_MatPartitioning* MatPartitioning;
1257 
1258 /*J
1259     MatPartitioningType - String with the name of a PETSc matrix partitioning
1260 
1261    Level: beginner
1262 dm
1263 .seealso: MatPartitioningCreate(), MatPartitioning
1264 J*/
1265 typedef const char* MatPartitioningType;
1266 #define MATPARTITIONINGCURRENT  "current"
1267 #define MATPARTITIONINGAVERAGE   "average"
1268 #define MATPARTITIONINGSQUARE   "square"
1269 #define MATPARTITIONINGPARMETIS "parmetis"
1270 #define MATPARTITIONINGCHACO    "chaco"
1271 #define MATPARTITIONINGPARTY    "party"
1272 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1273 #define MATPARTITIONINGHIERARCH  "hierarch"
1274 
1275 
1276 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1277 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1278 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1279 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1280 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1281 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1282 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1283 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1284 
1285 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1286 
1287 
1288 
1289 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1290 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1291 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1292 
1293 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1294 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1295 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1296 
1297 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1298 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1299 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1300 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1301 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1302 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1303 
1304 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1305 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1306 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1307 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1308 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1309 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1310 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1311 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1312 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1313 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1314 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1315 
1316 #define MP_PARTY_OPT "opt"
1317 #define MP_PARTY_LIN "lin"
1318 #define MP_PARTY_SCA "sca"
1319 #define MP_PARTY_RAN "ran"
1320 #define MP_PARTY_GBF "gbf"
1321 #define MP_PARTY_GCF "gcf"
1322 #define MP_PARTY_BUB "bub"
1323 #define MP_PARTY_DEF "def"
1324 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1325 #define MP_PARTY_HELPFUL_SETS "hs"
1326 #define MP_PARTY_KERNIGHAN_LIN "kl"
1327 #define MP_PARTY_NONE "no"
1328 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1329 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1330 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1331 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1332 
1333 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1334 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1335 
1336 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1337 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1338 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1339 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1340 
1341 /*
1342  * hierarchical partitioning
1343  */
1344 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1345 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1346 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1347 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1348 
1349 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1350 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1351 
1352 /*
1353     If you add entries here you must also add them to petsc/finclude/petscmat.h
1354 */
1355 typedef enum { MATOP_SET_VALUES=0,
1356                MATOP_GET_ROW=1,
1357                MATOP_RESTORE_ROW=2,
1358                MATOP_MULT=3,
1359                MATOP_MULT_ADD=4,
1360                MATOP_MULT_TRANSPOSE=5,
1361                MATOP_MULT_TRANSPOSE_ADD=6,
1362                MATOP_SOLVE=7,
1363                MATOP_SOLVE_ADD=8,
1364                MATOP_SOLVE_TRANSPOSE=9,
1365                MATOP_SOLVE_TRANSPOSE_ADD=10,
1366                MATOP_LUFACTOR=11,
1367                MATOP_CHOLESKYFACTOR=12,
1368                MATOP_SOR=13,
1369                MATOP_TRANSPOSE=14,
1370                MATOP_GETINFO=15,
1371                MATOP_EQUAL=16,
1372                MATOP_GET_DIAGONAL=17,
1373                MATOP_DIAGONAL_SCALE=18,
1374                MATOP_NORM=19,
1375                MATOP_ASSEMBLY_BEGIN=20,
1376                MATOP_ASSEMBLY_END=21,
1377                MATOP_SET_OPTION=22,
1378                MATOP_ZERO_ENTRIES=23,
1379                MATOP_ZERO_ROWS=24,
1380                MATOP_LUFACTOR_SYMBOLIC=25,
1381                MATOP_LUFACTOR_NUMERIC=26,
1382                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1383                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1384                MATOP_SETUP_PREALLOCATION=29,
1385                MATOP_ILUFACTOR_SYMBOLIC=30,
1386                MATOP_ICCFACTOR_SYMBOLIC=31,
1387                MATOP_GET_DIAGONAL_BLOCK=32,
1388                /* MATOP_PLACEHOLDER_33=33, */
1389                MATOP_DUPLICATE=34,
1390                MATOP_FORWARD_SOLVE=35,
1391                MATOP_BACKWARD_SOLVE=36,
1392                MATOP_ILUFACTOR=37,
1393                MATOP_ICCFACTOR=38,
1394                MATOP_AXPY=39,
1395                MATOP_GET_SUBMATRICES=40,
1396                MATOP_INCREASE_OVERLAP=41,
1397                MATOP_GET_VALUES=42,
1398                MATOP_COPY=43,
1399                MATOP_GET_ROW_MAX=44,
1400                MATOP_SCALE=45,
1401                MATOP_SHIFT=46,
1402                MATOP_DIAGONAL_SET=47,
1403                MATOP_ZERO_ROWS_COLUMNS=48,
1404                MATOP_SET_RANDOM=49,
1405                MATOP_GET_ROW_IJ=50,
1406                MATOP_RESTORE_ROW_IJ=51,
1407                MATOP_GET_COLUMN_IJ=52,
1408                MATOP_RESTORE_COLUMN_IJ=53,
1409                MATOP_FDCOLORING_CREATE=54,
1410                MATOP_COLORING_PATCH=55,
1411                MATOP_SET_UNFACTORED=56,
1412                MATOP_PERMUTE=57,
1413                MATOP_SET_VALUES_BLOCKED=58,
1414                MATOP_GET_SUBMATRIX=59,
1415                MATOP_DESTROY=60,
1416                MATOP_VIEW=61,
1417                MATOP_CONVERT_FROM=62,
1418                MATOP_MATMAT_MULT=63,
1419                MATOP_MATMAT_MULT_SYMBOLIC=64,
1420                MATOP_MATMAT_MULT_NUMERIC=65,
1421                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1422                MATOP_SET_VALUES_LOCAL=67,
1423                MATOP_ZERO_ROWS_LOCAL=68,
1424                MATOP_GET_ROW_MAX_ABS=69,
1425                MATOP_GET_ROW_MIN_ABS=70,
1426                MATOP_CONVERT=71,
1427                MATOP_SET_COLORING=72,
1428                /* MATOP_PLACEHOLDER_73=73, */
1429                MATOP_SET_VALUES_ADIFOR=74,
1430                MATOP_FD_COLORING_APPLY=75,
1431                MATOP_SET_FROM_OPTIONS=76,
1432                MATOP_MULT_CONSTRAINED=77,
1433                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1434                MATOP_FIND_ZERO_DIAGONALS=79,
1435                MATOP_MULT_MULTIPLE=80,
1436                MATOP_SOLVE_MULTIPLE=81,
1437                MATOP_GET_INERTIA=82,
1438                MATOP_LOAD=83,
1439                MATOP_IS_SYMMETRIC=84,
1440                MATOP_IS_HERMITIAN=85,
1441                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1442                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1443                MATOP_GET_VECS=88,
1444                MATOP_MAT_MULT=89,
1445                MATOP_MAT_MULT_SYMBOLIC=90,
1446                MATOP_MAT_MULT_NUMERIC=91,
1447                MATOP_PTAP=92,
1448                MATOP_PTAP_SYMBOLIC=93,
1449                MATOP_PTAP_NUMERIC=94,
1450                MATOP_MAT_TRANSPOSE_MULT=95,
1451                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1452                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1453                /* MATOP_PLACEHOLDER_98=98, */
1454                /* MATOP_PLACEHOLDER_99=99, */
1455                /* MATOP_PLACEHOLDER_100=100, */
1456                /* MATOP_PLACEHOLDER_101=101, */
1457                MATOP_CONJUGATE=102,
1458                /* MATOP_PLACEHOLDER_103=103, */
1459                MATOP_SET_VALUES_ROW=104,
1460                MATOP_REAL_PART=105,
1461                MATOP_IMAGINARY_PART=106,
1462                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1463                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1464                MATOP_MAT_SOLVE=109,
1465                MATOP_GET_REDUNDANT_MATRIX=110,
1466                MATOP_GET_ROW_MIN=111,
1467                MATOP_GET_COLUMN_VECTOR=112,
1468                MATOP_MISSING_DIAGONAL=113,
1469                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1470                MATOP_CREATE=115,
1471                MATOP_GET_GHOSTS=116,
1472                MATOP_GET_LOCAL_SUB_MATRIX=117,
1473                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1474                MATOP_MULT_DIAGONAL_BLOCK=119,
1475                MATOP_HERMITIAN_TRANSPOSE=120,
1476                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1477                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1478                MATOP_GET_MULTI_PROC_BLOCK=123,
1479                MATOP_FIND_NONZERO_ROWS=124,
1480                MATOP_GET_COLUMN_NORMS=125,
1481                MATOP_INVERT_BLOCK_DIAGONAL=126,
1482                /* MATOP_PLACEHOLDER_127=127, */
1483                MATOP_GET_SUB_MATRICES_PARALLE=128,
1484                MATOP_SET_VALUES_BATCH=129,
1485                MATOP_TRANSPOSE_MAT_MULT=130,
1486                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1487                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1488                MATOP_TRANSPOSE_COLORING_CREAT=133,
1489                MATOP_TRANS_COLORING_APPLY_SPT=134,
1490                MATOP_TRANS_COLORING_APPLY_DEN=135,
1491                MATOP_RART=136,
1492                MATOP_RART_SYMBOLIC=137,
1493                MATOP_RART_NUMERIC=138,
1494                MATOP_SET_BLOCK_SIZES=139,
1495                MATOP_AYPX=140,
1496                MATOP_RESIDUAL=141,
1497                MATOP_FDCOLORING_SETUP=142,
1498                MATOP_MPICONCATENATESEQ=144
1499              } MatOperation;
1500 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1501 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1502 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1503 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1504 
1505 /*
1506    Codes for matrices stored on disk. By default they are
1507    stored in a universal format. By changing the format with
1508    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1509    be stored in a way natural for the matrix, for example dense matrices
1510    would be stored as dense. Matrices stored this way may only be
1511    read into matrices of the same type.
1512 */
1513 #define MATRIX_BINARY_FORMAT_DENSE -1
1514 
1515 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1516 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1517 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1518 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1519 
1520 /*S
1521      MatNullSpace - Object that removes a null space from a vector, i.e.
1522          orthogonalizes the vector to a subsapce
1523 
1524    Level: advanced
1525 
1526   Concepts: matrix; linear operator, null space
1527 
1528   Users manual sections:
1529 .   sec_singular
1530 
1531 .seealso:  MatNullSpaceCreate()
1532 S*/
1533 typedef struct _p_MatNullSpace* MatNullSpace;
1534 
1535 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1536 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1537 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1538 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1539 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1540 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1541 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1542 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1543 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1544 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1545 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1546 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1547 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1548 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1549 
1550 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1551 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1552 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1553 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1554 
1555 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1556 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1557 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1558 
1559 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1560 
1561 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1562 
1563 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1564 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1565 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1566 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1567 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1568 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1569 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1570 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1571 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1572 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1573 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1574 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1575 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1576 
1577 /*S
1578     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1579               Jacobian vector products
1580 
1581     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1582 
1583            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1584 
1585     Level: developer
1586 
1587 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1588 S*/
1589 typedef struct _p_MatMFFD* MatMFFD;
1590 
1591 /*J
1592     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1593 
1594    Level: beginner
1595 
1596 .seealso: MatMFFDSetType(), MatMFFDRegister()
1597 J*/
1598 typedef const char* MatMFFDType;
1599 #define MATMFFD_DS  "ds"
1600 #define MATMFFD_WP  "wp"
1601 
1602 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1603 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1604 
1605 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1606 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1607 
1608 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1609 
1610 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1611 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1612 
1613 /*
1614    PETSc interface to MUMPS
1615 */
1616 #ifdef PETSC_HAVE_MUMPS
1617 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1618 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1619 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1620 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1621 
1622 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1623 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1624 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1625 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1626 #endif
1627 
1628 /*
1629    PETSc interface to Mkl_Pardiso
1630 */
1631 #ifdef PETSC_HAVE_MKL_PARDISO
1632 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1633 #endif
1634 
1635 /*
1636    PETSc interface to Mkl_CPardiso
1637 */
1638 #ifdef PETSC_HAVE_MKL_CPARDISO
1639 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1640 #endif
1641 
1642 /*
1643    PETSc interface to SUPERLU
1644 */
1645 #ifdef PETSC_HAVE_SUPERLU
1646 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1647 #endif
1648 
1649 /*
1650    PETSc interface to SUPERLU_DIST
1651 */
1652 #ifdef PETSC_HAVE_SUPERLU_DIST
1653 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1654 #endif
1655 
1656 /*
1657    PETSc interface to STRUMPACK
1658 */
1659 #ifdef PETSC_HAVE_STRUMPACK
1660 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1661 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1662 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1663 #endif
1664 
1665 
1666 #ifdef PETSC_HAVE_CUDA
1667 /*E
1668     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1669     matrices.
1670 
1671     Not Collective
1672 
1673 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1674 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1675 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1676 
1677     Level: intermediate
1678 
1679    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1680 
1681 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1682 E*/
1683 
1684 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1685 
1686 /* these will be strings associated with enumerated type defined above */
1687 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1688 
1689 /*E
1690     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1691     matrices whose operation should use a particular storage format.
1692 
1693     Not Collective
1694 
1695 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1696 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1697 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1698 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1699 
1700     Level: intermediate
1701 
1702 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1703 E*/
1704 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1705 
1706 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1707 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1708 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1709 #endif
1710 
1711 #if defined(PETSC_HAVE_CUSP)
1712 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1713 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1714 
1715 /*E
1716     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1717     matrices.
1718 
1719     Not Collective
1720 
1721 +   MAT_CUSP_CSR - Compressed Sparse Row
1722 .   MAT_CUSP_DIA - Diagonal
1723 -   MAT_CUSP_ELL - Ellpack
1724 
1725     Level: intermediate
1726 
1727    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1728 
1729 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1730 E*/
1731 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1732 
1733 /* these will be strings associated with enumerated type defined above */
1734 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1735 
1736 /*E
1737     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1738     matrices whose operation should use a particular storage format.
1739 
1740     Not Collective
1741 
1742 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1743 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1744 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1745 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1746 
1747     Level: intermediate
1748 
1749    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1750 
1751 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1752 E*/
1753 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1754 
1755 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1756 #endif
1757 
1758 #if defined(PETSC_HAVE_VIENNACL)
1759 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1760 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1761 #endif
1762 
1763 /*
1764    PETSc interface to FFTW
1765 */
1766 #if defined(PETSC_HAVE_FFTW)
1767 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1768 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1769 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1770 #endif
1771 
1772 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1773 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1774 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1775 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1776 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1777 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1778 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1779 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1780 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1781 
1782 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1783 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1784 
1785 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1786 
1787 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1788 
1789 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1790 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1791 
1792 #endif
1793