xref: /petsc/include/petscmat.h (revision 3be0408ca14ca3b174df41a89596ca319fd79311)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATMPIAIJ          "mpiaij"
36 #define MATAIJCRL          "aijcrl"
37 #define MATSEQAIJCRL       "seqaijcrl"
38 #define MATMPIAIJCRL       "mpiaijcrl"
39 #define MATAIJCUSP         "aijcusp"
40 #define MATSEQAIJCUSP      "seqaijcusp"
41 #define MATMPIAIJCUSP      "mpiaijcusp"
42 #define MATAIJCUSPARSE     "aijcusparse"
43 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
44 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
45 #define MATAIJVIENNACL     "aijviennacl"
46 #define MATSEQAIJVIENNACL  "seqaijviennacl"
47 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
48 #define MATAIJPERM         "aijperm"
49 #define MATSEQAIJPERM      "seqaijperm"
50 #define MATMPIAIJPERM      "mpiaijperm"
51 #define MATSHELL           "shell"
52 #define MATDENSE           "dense"
53 #define MATSEQDENSE        "seqdense"
54 #define MATMPIDENSE        "mpidense"
55 #define MATELEMENTAL       "elemental"
56 #define MATBAIJ            "baij"
57 #define MATSEQBAIJ         "seqbaij"
58 #define MATMPIBAIJ         "mpibaij"
59 #define MATMPIADJ          "mpiadj"
60 #define MATSBAIJ           "sbaij"
61 #define MATSEQSBAIJ        "seqsbaij"
62 #define MATMPISBAIJ        "mpisbaij"
63 #define MATDAAD            "daad"
64 #define MATMFFD            "mffd"
65 #define MATNORMAL          "normal"
66 #define MATNORMALHERMITIAN "normalh"
67 #define MATLRC             "lrc"
68 #define MATSCATTER         "scatter"
69 #define MATBLOCKMAT        "blockmat"
70 #define MATCOMPOSITE       "composite"
71 #define MATFFT             "fft"
72 #define MATFFTW            "fftw"
73 #define MATSEQCUFFT        "seqcufft"
74 #define MATTRANSPOSEMAT    "transpose"
75 #define MATSCHURCOMPLEMENT "schurcomplement"
76 #define MATPYTHON          "python"
77 #define MATHYPRE           "hypre"
78 #define MATHYPRESTRUCT     "hyprestruct"
79 #define MATHYPRESSTRUCT    "hypresstruct"
80 #define MATSUBMATRIX       "submatrix"
81 #define MATLOCALREF        "localref"
82 #define MATNEST            "nest"
83 #define MATPREALLOCATOR    "preallocator"
84 
85 /*J
86     MatSolverPackage - String with the name of a PETSc matrix solver type.
87 
88     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
89 
90    Level: beginner
91 
92 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
93 J*/
94 #define MatSolverPackage char*
95 #define MATSOLVERSUPERLU      "superlu"
96 #define MATSOLVERSUPERLU_DIST "superlu_dist"
97 #define MATSOLVERSTRUMPACK    "strumpack"
98 #define MATSOLVERUMFPACK      "umfpack"
99 #define MATSOLVERCHOLMOD      "cholmod"
100 #define MATSOLVERKLU          "klu"
101 #define MATSOLVERCLIQUE       "clique"
102 #define MATSOLVERELEMENTAL    "elemental"
103 #define MATSOLVERESSL         "essl"
104 #define MATSOLVERLUSOL        "lusol"
105 #define MATSOLVERMUMPS        "mumps"
106 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
107 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
108 #define MATSOLVERPASTIX       "pastix"
109 #define MATSOLVERMATLAB       "matlab"
110 #define MATSOLVERPETSC        "petsc"
111 #define MATSOLVERBAS          "bas"
112 #define MATSOLVERCUSPARSE     "cusparse"
113 
114 /*E
115     MatFactorType - indicates what type of factorization is requested
116 
117     Level: beginner
118 
119    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
120 
121 .seealso: MatSolverPackage, MatGetFactor()
122 E*/
123 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
124 PETSC_EXTERN const char *const MatFactorTypes[];
125 
126 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
127 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
128 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
129 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
130 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
131 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
132 
133 /* Logging support */
134 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
135 PETSC_EXTERN PetscClassId MAT_CLASSID;
136 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
142 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
143 
144 /*E
145     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
146      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
147      that the input matrix is to be replaced with the converted matrix.
148 
149     Level: beginner
150 
151    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
152 
153 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
154 E*/
155 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
156 
157 /*E
158     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
159      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
160 
161     Level: beginner
162 
163 .seealso: MatGetSeqNonzerostructure()
164 E*/
165 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
166 
167 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
168 
169 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
170 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
171 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
172 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
173 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
174 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
175 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
176 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
177 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
178 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
179 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
180 
181 PETSC_EXTERN PetscFunctionList MatList;
182 PETSC_EXTERN PetscFunctionList MatColoringList;
183 PETSC_EXTERN PetscFunctionList MatPartitioningList;
184 
185 /*E
186     MatStructure - Indicates if two matrices have the same nonzero structure
187 
188     Level: beginner
189 
190    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
191 
192 .seealso: MatCopy(), MatAXPY()
193 E*/
194 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
195 
196 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
197 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
198 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
199 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
200 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
201 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
202 
203 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
206 
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
208 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
209 
210 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
212 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
213 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
214 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
215 
216 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
219 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
220 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
224 
225 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
226 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
227 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
228 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
229 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
230 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
231 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
232 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
233 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
234 
235 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
236 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
237 
238 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
239 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
240 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
241 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
242 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
243 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
244 
245 #if defined(PETSC_HAVE_HYPRE)
246 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
247 #endif
248 
249 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
250 
251 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
252 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
253 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
254 
255 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
256 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
257 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
258 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
259 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
260 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
261 
262 /* ------------------------------------------------------------*/
263 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
264 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
265 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
266 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
267 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
268 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
269 
270 /*S
271      MatStencil - Data structure (C struct) for storing information about a single row or
272         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
273 
274    The i,j, and k represent the logical coordinates over the entire grid (for 2 and 1 dimensional problems the k and j entries are ignored).
275    The c represents the the degrees of freedom at each grid point (the dof argument to DMDASetDOF()). If dof is 1 then this entry is ignored.
276 
277    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
278 
279    Fortran usage is different, see MatSetValuesStencil() for details.
280 
281    Level: beginner
282 
283   Concepts: matrix; linear operator
284 
285 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
286 S*/
287 typedef struct {
288   PetscInt k,j,i,c;
289 } MatStencil;
290 
291 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
292 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
293 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
294 
295 /*E
296     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
297      to continue to add or insert values to it
298 
299     Level: beginner
300 
301 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
302 E*/
303 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
304 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
305 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
306 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
307 
308 
309 
310 /*E
311     MatOption - Options that may be set for a matrix and its behavior or storage
312 
313     Level: beginner
314 
315    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
316 
317    Developer Notes: Entries that are negative need not be called collectively by all processes.
318 
319 .seealso: MatSetOption()
320 E*/
321 typedef enum {MAT_OPTION_MIN = -3,
322               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
323               MAT_ROW_ORIENTED = -1,
324               MAT_SYMMETRIC = 1,
325               MAT_STRUCTURALLY_SYMMETRIC = 2,
326               MAT_NEW_DIAGONALS = 3,
327               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
328               MAT_USE_HASH_TABLE = 5,
329               MAT_KEEP_NONZERO_PATTERN = 6,
330               MAT_IGNORE_ZERO_ENTRIES = 7,
331               MAT_USE_INODES = 8,
332               MAT_HERMITIAN = 9,
333               MAT_SYMMETRY_ETERNAL = 10,
334               MAT_NEW_NONZERO_LOCATION_ERR = 11,
335               MAT_IGNORE_LOWER_TRIANGULAR = 12,
336               MAT_ERROR_LOWER_TRIANGULAR = 13,
337               MAT_GETROW_UPPERTRIANGULAR = 14,
338               MAT_SPD = 15,
339               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
340               MAT_NO_OFF_PROC_ENTRIES = 17,
341               MAT_NEW_NONZERO_LOCATIONS = 18,
342               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
343               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
344               MAT_SUBMAT_SINGLEIS = 21,
345               MAT_OPTION_MAX = 22} MatOption;
346 
347 PETSC_EXTERN const char *MatOptions[];
348 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
349 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
350 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
351 
352 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
353 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
354 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
355 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
356 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
357 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
358 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
359 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
360 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
361 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
362 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
363 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
365 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
366 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
367 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
368 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
369 
370 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
371 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
376 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
377 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
382 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
383 
384 /*E
385     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
386   its numerical values copied over or just its nonzero structure.
387 
388     Level: beginner
389 
390    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
391 
392 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
393 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
394 $                               have several matrices with the same nonzero pattern.
395 
396 .seealso: MatDuplicate()
397 E*/
398 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
399 
400 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
401 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
402 
403 
404 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
405 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
406 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
407 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
408 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
409 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
410 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
411 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
412 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
413 
414 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
415 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
416 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
417 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
418 
419 /*S
420      MatInfo - Context of matrix information, used with MatGetInfo()
421 
422    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
423 
424    Level: intermediate
425 
426   Concepts: matrix^nonzero information
427 
428 .seealso:  MatGetInfo(), MatInfoType
429 S*/
430 typedef struct {
431   PetscLogDouble block_size;                         /* block size */
432   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
433   PetscLogDouble memory;                             /* memory allocated */
434   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
435   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
436   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
437   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
438 } MatInfo;
439 
440 /*E
441     MatInfoType - Indicates if you want information about the local part of the matrix,
442      the entire parallel matrix or the maximum over all the local parts.
443 
444     Level: beginner
445 
446    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
447 
448 .seealso: MatGetInfo(), MatInfo
449 E*/
450 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
451 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
452 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
453 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
454 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
455 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
456 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
457 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
458 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
459 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
460 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
461 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
462 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
463 
464 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
465 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
466 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
467 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
468 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
469 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
470 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
471 
472 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
473 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
474 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
475 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
476 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
477 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
478 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
479 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
480 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
481 
482 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
483 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
484 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
485 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
486 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
487 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
488 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
489 
490 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
491 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
492 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
493 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
494 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
495 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
496 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
497 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
498 
499 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
500 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
501 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
502 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
503 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
504 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
505 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
506 
507 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
508 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
509 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
510 
511 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
514 
515 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
516 
517 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
520 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
523 
524 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
527 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
530 
531 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
532 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
533 
534 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
535 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
536 
537 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
538 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
539 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
540 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
541 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
542 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
543 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
545 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
546 
547 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
548 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
549 
550 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
552 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
554 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
555 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
556 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
557 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
558 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
559 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
560 
561 /*MC
562    MatSetValue - Set a single entry into a matrix.
563 
564    Not collective
565 
566    Synopsis:
567      #include <petscmat.h>
568      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
569 
570    Input Parameters:
571 +  m - the matrix
572 .  row - the row location of the entry
573 .  col - the column location of the entry
574 .  value - the value to insert
575 -  mode - either INSERT_VALUES or ADD_VALUES
576 
577    Notes:
578    For efficiency one should use MatSetValues() and set several or many
579    values simultaneously if possible.
580 
581    Level: beginner
582 
583 .seealso: MatSetValues(), MatSetValueLocal()
584 M*/
585 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
586 
587 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
588 
589 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
590 
591 /*MC
592    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
593        row in a matrix providing the data that one can use to correctly preallocate the matrix.
594 
595    Synopsis:
596    #include <petscmat.h>
597    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
598 
599    Collective on MPI_Comm
600 
601    Input Parameters:
602 +  comm - the communicator that will share the eventually allocated matrix
603 .  nrows - the number of LOCAL rows in the matrix
604 -  ncols - the number of LOCAL columns in the matrix
605 
606    Output Parameters:
607 +  dnz - the array that will be passed to the matrix preallocation routines
608 -  ozn - the other array passed to the matrix preallocation routines
609 
610    Level: intermediate
611 
612    Notes:
613     See Users-Manual: ch_performance for more details.
614 
615    Do not malloc or free dnz and onz, that is handled internally by these routines
616 
617    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
618 
619    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
620 
621   Concepts: preallocation^Matrix
622 
623 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
624           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
625 M*/
626 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
627 { \
628   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
629   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
630   __start = 0; __end = __start;                                         \
631   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
632   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
633 
634 /*MC
635    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
636        inserted using a local number of the rows and columns
637 
638    Synopsis:
639    #include <petscmat.h>
640    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
641 
642    Not Collective
643 
644    Input Parameters:
645 +  map - the row mapping from local numbering to global numbering
646 .  nrows - the number of rows indicated
647 .  rows - the indices of the rows
648 .  cmap - the column mapping from local to global numbering
649 .  ncols - the number of columns in the matrix
650 .  cols - the columns indicated
651 .  dnz - the array that will be passed to the matrix preallocation routines
652 -  ozn - the other array passed to the matrix preallocation routines
653 
654    Level: intermediate
655 
656    Notes:
657     See Users-Manual: ch_performance for more details.
658 
659    Do not malloc or free dnz and onz, that is handled internally by these routines
660 
661   Concepts: preallocation^Matrix
662 
663 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
664           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
665 M*/
666 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
667 {\
668   PetscInt __l;\
669   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
670   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
671   for (__l=0;__l<nrows;__l++) {\
672     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
673   }\
674 }
675 
676 /*MC
677    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
678        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
679 
680    Synopsis:
681    #include <petscmat.h>
682    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
683 
684    Not Collective
685 
686    Input Parameters:
687 +  map - the row mapping from local numbering to global numbering
688 .  nrows - the number of rows indicated
689 .  rows - the indices of the rows (these values are mapped to the global values)
690 .  cmap - the column mapping from local to global numbering
691 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
692 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
693 .  dnz - the array that will be passed to the matrix preallocation routines
694 -  ozn - the other array passed to the matrix preallocation routines
695 
696    Level: intermediate
697 
698    Notes:
699     See Users-Manual: ch_performance for more details.
700 
701    Do not malloc or free dnz and onz, that is handled internally by these routines
702 
703   Concepts: preallocation^Matrix
704 
705 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
706           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
707 M*/
708 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
709 {\
710   PetscInt __l;\
711   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
712   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
713   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
714   for (__l=0;__l<nrows;__l++) {\
715     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
716   }\
717 }
718 
719 /*MC
720    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
721        inserted using a local number of the rows and columns
722 
723    Synopsis:
724    #include <petscmat.h>
725    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
726 
727    Not Collective
728 
729    Input Parameters:
730 +  map - the row mapping from local numbering to global numbering
731 .  nrows - the number of rows indicated
732 .  rows - the indices of the rows
733 .  cmap - the column mapping from local to global numbering
734 .  ncols - the number of columns in the matrix
735 .  cols - the columns indicated
736 .  dnz - the array that will be passed to the matrix preallocation routines
737 -  ozn - the other array passed to the matrix preallocation routines
738 
739    Level: intermediate
740 
741    Notes:
742     See Users-Manual: ch_performance for more details.
743 
744    Do not malloc or free dnz and onz, that is handled internally by these routines
745 
746   Concepts: preallocation^Matrix
747 
748 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
749           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
750 M*/
751 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
752 {\
753   PetscInt __l;\
754   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
755   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
756   for (__l=0;__l<nrows;__l++) {\
757     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
758   }\
759 }
760 
761 /*MC
762    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
763        inserted using a local number of the rows and columns
764 
765    Synopsis:
766    #include <petscmat.h>
767    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
768 
769    Not Collective
770 
771    Input Parameters:
772 +  map - the mapping between local numbering and global numbering
773 .  nrows - the number of rows indicated
774 .  rows - the indices of the rows
775 .  ncols - the number of columns in the matrix
776 .  cols - the columns indicated
777 .  dnz - the array that will be passed to the matrix preallocation routines
778 -  ozn - the other array passed to the matrix preallocation routines
779 
780    Level: intermediate
781 
782    Notes:
783     See Users-Manual: ch_performance for more details.
784 
785    Do not malloc or free dnz and onz that is handled internally by these routines
786 
787   Concepts: preallocation^Matrix
788 
789 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
790           MatPreallocateInitialize(),  MatPreallocateSetLocal()
791 M*/
792 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
793 {\
794   PetscInt __l;\
795   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
796   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
797   for (__l=0;__l<nrows;__l++) {\
798     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
799   }\
800 }
801 /*MC
802    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
803        inserted using a local number of the rows and columns
804 
805    Synopsis:
806    #include <petscmat.h>
807    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
808 
809    Not Collective
810 
811    Input Parameters:
812 +  row - the row
813 .  ncols - the number of columns in the matrix
814 -  cols - the columns indicated
815 
816    Output Parameters:
817 +  dnz - the array that will be passed to the matrix preallocation routines
818 -  ozn - the other array passed to the matrix preallocation routines
819 
820    Level: intermediate
821 
822    Notes:
823     See Users-Manual: ch_performance for more details.
824 
825    Do not malloc or free dnz and onz that is handled internally by these routines
826 
827    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
828 
829   Concepts: preallocation^Matrix
830 
831 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
832           MatPreallocateInitialize(), MatPreallocateSetLocal()
833 M*/
834 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
835 { PetscInt __i; \
836   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);\
837   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);\
838   for (__i=0; __i<nc; __i++) {\
839     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
840     else dnz[row - __rstart]++;\
841   }\
842 }
843 
844 /*MC
845    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
846        inserted using a local number of the rows and columns
847 
848    Synopsis:
849    #include <petscmat.h>
850    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
851 
852    Not Collective
853 
854    Input Parameters:
855 +  nrows - the number of rows indicated
856 .  rows - the indices of the rows
857 .  ncols - the number of columns in the matrix
858 .  cols - the columns indicated
859 .  dnz - the array that will be passed to the matrix preallocation routines
860 -  ozn - the other array passed to the matrix preallocation routines
861 
862    Level: intermediate
863 
864    Notes:
865     See Users-Manual: ch_performance for more details.
866 
867    Do not malloc or free dnz and onz that is handled internally by these routines
868 
869    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
870 
871   Concepts: preallocation^Matrix
872 
873 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
874           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
875 M*/
876 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
877 { PetscInt __i; \
878   for (__i=0; __i<nc; __i++) {\
879     if (cols[__i] >= __end) onz[row - __rstart]++; \
880     else if (cols[__i] >= row) dnz[row - __rstart]++;\
881   }\
882 }
883 
884 /*MC
885    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
886 
887    Synopsis:
888    #include <petscmat.h>
889    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
890 
891    Not Collective
892 
893    Input Parameters:
894 .  A - matrix
895 .  row - row where values exist (must be local to this process)
896 .  ncols - number of columns
897 .  cols - columns with nonzeros
898 .  dnz - the array that will be passed to the matrix preallocation routines
899 -  ozn - the other array passed to the matrix preallocation routines
900 
901    Level: intermediate
902 
903    Notes:
904     See Users-Manual: ch_performance for more details.
905 
906    Do not malloc or free dnz and onz that is handled internally by these routines
907 
908    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
909 
910   Concepts: preallocation^Matrix
911 
912 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
913           MatPreallocateSymmetricSetLocalBlock()
914 M*/
915 #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);}
916 
917 
918 /*MC
919    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
920        row in a matrix providing the data that one can use to correctly preallocate the matrix.
921 
922    Synopsis:
923    #include <petscmat.h>
924    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
925 
926    Collective on MPI_Comm
927 
928    Input Parameters:
929 +  dnz - the array that was be passed to the matrix preallocation routines
930 -  ozn - the other array passed to the matrix preallocation routines
931 
932    Level: intermediate
933 
934    Notes:
935     See Users-Manual: ch_performance for more details.
936 
937    Do not malloc or free dnz and onz that is handled internally by these routines
938 
939    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
940 
941   Concepts: preallocation^Matrix
942 
943 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
944           MatPreallocateSymmetricSetLocalBlock()
945 M*/
946 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
947 
948 /* Routines unique to particular data structures */
949 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
950 
951 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
952 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
953 
954 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
955 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
956 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
957 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
958 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
959 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
960 
961 #define MAT_SKIP_ALLOCATION -4
962 
963 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
964 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
965 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
966 
967 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
968 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
969 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
970 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
971 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
972 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
973 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
974 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
975 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
976 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
977 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
978 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
979 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
980 
981 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
982 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
983 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
984 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
985 
986 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
987 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
988 
989 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
990 
991 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
992 /*
993   These routines are not usually accessed directly, rather solving is
994   done through the KSP and PC interfaces.
995 */
996 
997 /*J
998     MatOrderingType - String with the name of a PETSc matrix ordering
999 
1000    Level: beginner
1001 
1002 .seealso: MatGetOrdering()
1003 J*/
1004 typedef const char* MatOrderingType;
1005 #define MATORDERINGNATURAL     "natural"
1006 #define MATORDERINGND          "nd"
1007 #define MATORDERING1WD         "1wd"
1008 #define MATORDERINGRCM         "rcm"
1009 #define MATORDERINGQMD         "qmd"
1010 #define MATORDERINGROWLENGTH   "rowlength"
1011 #define MATORDERINGWBM         "wbm"
1012 #define MATORDERINGSPECTRAL    "spectral"
1013 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1014 
1015 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1016 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1017 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1018 PETSC_EXTERN PetscFunctionList MatOrderingList;
1019 
1020 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1021 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1022 
1023 /*S
1024     MatFactorShiftType - Numeric Shift.
1025 
1026    Level: beginner
1027 
1028 S*/
1029 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1030 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1031 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1032 
1033 /*S
1034     MatFactorError - indicates what type of error in matrix factor
1035 
1036     Level: beginner
1037 
1038     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1039 
1040 .seealso: MatGetFactor()
1041 S*/
1042 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1043 
1044 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1045 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1046 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1047 
1048 /*S
1049    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1050 
1051    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1052 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1053 
1054    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1055 
1056       You can use MatFactorInfoInitialize() to set default values.
1057 
1058    Level: developer
1059 
1060 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1061           MatFactorInfoInitialize()
1062 
1063 S*/
1064 typedef struct {
1065   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1066   PetscReal     usedt;
1067   PetscReal     dt;             /* drop tolerance */
1068   PetscReal     dtcol;          /* tolerance for pivoting */
1069   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1070   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1071   PetscReal     levels;         /* ICC/ILU(levels) */
1072   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1073                                    factorization may be faster if do not pivot */
1074   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1075   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1076   PetscReal     shiftamount;     /* how large the shift is */
1077 } MatFactorInfo;
1078 
1079 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1080 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1081 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1082 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1083 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1084 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1085 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1086 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1087 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1088 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1089 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1090 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1091 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1092 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1093 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1094 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1095 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1096 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1097 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1098 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1099 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1100 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1101 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1102 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1103 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1104 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1105 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1106 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
1107 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1108 
1109 /*E
1110     MatSORType - What type of (S)SOR to perform
1111 
1112     Level: beginner
1113 
1114    May be bitwise ORd together
1115 
1116    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1117 
1118    MatSORType may be bitwise ORd together, so do not change the numbers
1119 
1120 .seealso: MatSOR()
1121 E*/
1122 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1123               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1124               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1125               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1126 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1127 
1128 /*
1129     These routines are for efficiently computing Jacobians via finite differences.
1130 */
1131 
1132 /*S
1133      MatColoring - Object for managing the coloring of matrices.
1134 
1135    Level: beginner
1136 
1137   Concepts: matrix, coloring
1138 
1139 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1140 S*/
1141 typedef struct _p_MatColoring* MatColoring;
1142 /*J
1143     MatColoringType - String with the name of a PETSc matrix coloring
1144 
1145    Level: beginner
1146 
1147 .seealso: MatColoringSetType(), MatColoring
1148 J*/
1149 
1150 typedef const  char*           MatColoringType;
1151 #define MATCOLORINGJP      "jp"
1152 #define MATCOLORINGPOWER   "power"
1153 #define MATCOLORINGNATURAL "natural"
1154 #define MATCOLORINGSL      "sl"
1155 #define MATCOLORINGLF      "lf"
1156 #define MATCOLORINGID      "id"
1157 #define MATCOLORINGGREEDY  "greedy"
1158 
1159 /*E
1160    MatColoringWeightType - Type of weight scheme
1161 
1162     Not Collective
1163 
1164 +   MAT_COLORING_RANDOM  - Random weights
1165 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1166 -   MAT_COLORING_LF      - Last-first weighting.
1167 
1168     Level: intermediate
1169 
1170    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1171 
1172 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1173 E*/
1174 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1175 
1176 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1177 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1178 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1179 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1180 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1181 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1182 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1183 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1184 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1185 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1186 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1187 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1188 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1189 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1190 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1191 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1192 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1193 
1194 /*S
1195      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1196         and coloring
1197 
1198    Level: beginner
1199 
1200   Concepts: coloring, sparse Jacobian, finite differences
1201 
1202 .seealso:  MatFDColoringCreate()
1203 S*/
1204 typedef struct _p_MatFDColoring* MatFDColoring;
1205 
1206 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1207 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1208 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1209 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1210 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1211 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1212 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1213 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1214 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1215 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1216 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1217 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1218 
1219 
1220 /*S
1221      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1222 
1223    Level: beginner
1224 
1225   Concepts: coloring, sparse matrix product
1226 
1227 .seealso:  MatTransposeColoringCreate()
1228 S*/
1229 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1230 
1231 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1232 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1233 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1234 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1235 
1236 /*
1237     These routines are for partitioning matrices: currently used only
1238   for adjacency matrix, MatCreateMPIAdj().
1239 */
1240 
1241 /*S
1242      MatPartitioning - Object for managing the partitioning of a matrix or graph
1243 
1244    Level: beginner
1245 
1246   Concepts: partitioning
1247 
1248 .seealso:  MatPartitioningCreate(), MatPartitioningType
1249 S*/
1250 typedef struct _p_MatPartitioning* MatPartitioning;
1251 
1252 /*J
1253     MatPartitioningType - String with the name of a PETSc matrix partitioning
1254 
1255    Level: beginner
1256 dm
1257 .seealso: MatPartitioningCreate(), MatPartitioning
1258 J*/
1259 typedef const char* MatPartitioningType;
1260 #define MATPARTITIONINGCURRENT  "current"
1261 #define MATPARTITIONINGAVERAGE   "average"
1262 #define MATPARTITIONINGSQUARE   "square"
1263 #define MATPARTITIONINGPARMETIS "parmetis"
1264 #define MATPARTITIONINGCHACO    "chaco"
1265 #define MATPARTITIONINGPARTY    "party"
1266 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1267 #define MATPARTITIONINGHIERARCH  "hierarch"
1268 
1269 
1270 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1271 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1272 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1273 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1274 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1275 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1276 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1277 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1278 
1279 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1280 
1281 
1282 
1283 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1284 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1286 
1287 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1288 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1289 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1290 
1291 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1292 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1293 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1294 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1295 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1296 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1297 
1298 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1299 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1300 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1301 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1302 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1303 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1304 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1305 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1306 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1307 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1308 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1309 
1310 #define MP_PARTY_OPT "opt"
1311 #define MP_PARTY_LIN "lin"
1312 #define MP_PARTY_SCA "sca"
1313 #define MP_PARTY_RAN "ran"
1314 #define MP_PARTY_GBF "gbf"
1315 #define MP_PARTY_GCF "gcf"
1316 #define MP_PARTY_BUB "bub"
1317 #define MP_PARTY_DEF "def"
1318 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1319 #define MP_PARTY_HELPFUL_SETS "hs"
1320 #define MP_PARTY_KERNIGHAN_LIN "kl"
1321 #define MP_PARTY_NONE "no"
1322 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1323 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1324 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1325 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1326 
1327 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1328 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1329 
1330 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1331 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1332 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1333 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1334 
1335 /*
1336  * hierarchical partitioning
1337  */
1338 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1339 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1340 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1341 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1342 
1343 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1344 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1345 
1346 /*
1347     If you add entries here you must also add them to petsc/finclude/petscmat.h
1348 */
1349 typedef enum { MATOP_SET_VALUES=0,
1350                MATOP_GET_ROW=1,
1351                MATOP_RESTORE_ROW=2,
1352                MATOP_MULT=3,
1353                MATOP_MULT_ADD=4,
1354                MATOP_MULT_TRANSPOSE=5,
1355                MATOP_MULT_TRANSPOSE_ADD=6,
1356                MATOP_SOLVE=7,
1357                MATOP_SOLVE_ADD=8,
1358                MATOP_SOLVE_TRANSPOSE=9,
1359                MATOP_SOLVE_TRANSPOSE_ADD=10,
1360                MATOP_LUFACTOR=11,
1361                MATOP_CHOLESKYFACTOR=12,
1362                MATOP_SOR=13,
1363                MATOP_TRANSPOSE=14,
1364                MATOP_GETINFO=15,
1365                MATOP_EQUAL=16,
1366                MATOP_GET_DIAGONAL=17,
1367                MATOP_DIAGONAL_SCALE=18,
1368                MATOP_NORM=19,
1369                MATOP_ASSEMBLY_BEGIN=20,
1370                MATOP_ASSEMBLY_END=21,
1371                MATOP_SET_OPTION=22,
1372                MATOP_ZERO_ENTRIES=23,
1373                MATOP_ZERO_ROWS=24,
1374                MATOP_LUFACTOR_SYMBOLIC=25,
1375                MATOP_LUFACTOR_NUMERIC=26,
1376                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1377                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1378                MATOP_SETUP_PREALLOCATION=29,
1379                MATOP_ILUFACTOR_SYMBOLIC=30,
1380                MATOP_ICCFACTOR_SYMBOLIC=31,
1381                MATOP_GET_DIAGONAL_BLOCK=32,
1382                /* MATOP_PLACEHOLDER_33=33, */
1383                MATOP_DUPLICATE=34,
1384                MATOP_FORWARD_SOLVE=35,
1385                MATOP_BACKWARD_SOLVE=36,
1386                MATOP_ILUFACTOR=37,
1387                MATOP_ICCFACTOR=38,
1388                MATOP_AXPY=39,
1389                MATOP_GET_SUBMATRICES=40,
1390                MATOP_INCREASE_OVERLAP=41,
1391                MATOP_GET_VALUES=42,
1392                MATOP_COPY=43,
1393                MATOP_GET_ROW_MAX=44,
1394                MATOP_SCALE=45,
1395                MATOP_SHIFT=46,
1396                MATOP_DIAGONAL_SET=47,
1397                MATOP_ZERO_ROWS_COLUMNS=48,
1398                MATOP_SET_RANDOM=49,
1399                MATOP_GET_ROW_IJ=50,
1400                MATOP_RESTORE_ROW_IJ=51,
1401                MATOP_GET_COLUMN_IJ=52,
1402                MATOP_RESTORE_COLUMN_IJ=53,
1403                MATOP_FDCOLORING_CREATE=54,
1404                MATOP_COLORING_PATCH=55,
1405                MATOP_SET_UNFACTORED=56,
1406                MATOP_PERMUTE=57,
1407                MATOP_SET_VALUES_BLOCKED=58,
1408                MATOP_GET_SUBMATRIX=59,
1409                MATOP_DESTROY=60,
1410                MATOP_VIEW=61,
1411                MATOP_CONVERT_FROM=62,
1412                MATOP_MATMAT_MULT=63,
1413                MATOP_MATMAT_MULT_SYMBOLIC=64,
1414                MATOP_MATMAT_MULT_NUMERIC=65,
1415                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1416                MATOP_SET_VALUES_LOCAL=67,
1417                MATOP_ZERO_ROWS_LOCAL=68,
1418                MATOP_GET_ROW_MAX_ABS=69,
1419                MATOP_GET_ROW_MIN_ABS=70,
1420                MATOP_CONVERT=71,
1421                MATOP_SET_COLORING=72,
1422                /* MATOP_PLACEHOLDER_73=73, */
1423                MATOP_SET_VALUES_ADIFOR=74,
1424                MATOP_FD_COLORING_APPLY=75,
1425                MATOP_SET_FROM_OPTIONS=76,
1426                MATOP_MULT_CONSTRAINED=77,
1427                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1428                MATOP_FIND_ZERO_DIAGONALS=79,
1429                MATOP_MULT_MULTIPLE=80,
1430                MATOP_SOLVE_MULTIPLE=81,
1431                MATOP_GET_INERTIA=82,
1432                MATOP_LOAD=83,
1433                MATOP_IS_SYMMETRIC=84,
1434                MATOP_IS_HERMITIAN=85,
1435                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1436                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1437                MATOP_GET_VECS=88,
1438                MATOP_MAT_MULT=89,
1439                MATOP_MAT_MULT_SYMBOLIC=90,
1440                MATOP_MAT_MULT_NUMERIC=91,
1441                MATOP_PTAP=92,
1442                MATOP_PTAP_SYMBOLIC=93,
1443                MATOP_PTAP_NUMERIC=94,
1444                MATOP_MAT_TRANSPOSE_MULT=95,
1445                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1446                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1447                /* MATOP_PLACEHOLDER_98=98, */
1448                /* MATOP_PLACEHOLDER_99=99, */
1449                /* MATOP_PLACEHOLDER_100=100, */
1450                /* MATOP_PLACEHOLDER_101=101, */
1451                MATOP_CONJUGATE=102,
1452                /* MATOP_PLACEHOLDER_103=103, */
1453                MATOP_SET_VALUES_ROW=104,
1454                MATOP_REAL_PART=105,
1455                MATOP_IMAGINARY_PART=106,
1456                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1457                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1458                MATOP_MAT_SOLVE=109,
1459                MATOP_GET_REDUNDANT_MATRIX=110,
1460                MATOP_GET_ROW_MIN=111,
1461                MATOP_GET_COLUMN_VECTOR=112,
1462                MATOP_MISSING_DIAGONAL=113,
1463                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1464                MATOP_CREATE=115,
1465                MATOP_GET_GHOSTS=116,
1466                MATOP_GET_LOCAL_SUB_MATRIX=117,
1467                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1468                MATOP_MULT_DIAGONAL_BLOCK=119,
1469                MATOP_HERMITIAN_TRANSPOSE=120,
1470                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1471                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1472                MATOP_GET_MULTI_PROC_BLOCK=123,
1473                MATOP_FIND_NONZERO_ROWS=124,
1474                MATOP_GET_COLUMN_NORMS=125,
1475                MATOP_INVERT_BLOCK_DIAGONAL=126,
1476                /* MATOP_PLACEHOLDER_127=127, */
1477                MATOP_GET_SUB_MATRICES_PARALLE=128,
1478                MATOP_SET_VALUES_BATCH=129,
1479                MATOP_TRANSPOSE_MAT_MULT=130,
1480                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1481                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1482                MATOP_TRANSPOSE_COLORING_CREAT=133,
1483                MATOP_TRANS_COLORING_APPLY_SPT=134,
1484                MATOP_TRANS_COLORING_APPLY_DEN=135,
1485                MATOP_RART=136,
1486                MATOP_RART_SYMBOLIC=137,
1487                MATOP_RART_NUMERIC=138,
1488                MATOP_SET_BLOCK_SIZES=139,
1489                MATOP_AYPX=140,
1490                MATOP_RESIDUAL=141,
1491                MATOP_FDCOLORING_SETUP=142,
1492                MATOP_MPICONCATENATESEQ=144
1493              } MatOperation;
1494 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1495 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1496 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1497 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1498 
1499 /*
1500    Codes for matrices stored on disk. By default they are
1501    stored in a universal format. By changing the format with
1502    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1503    be stored in a way natural for the matrix, for example dense matrices
1504    would be stored as dense. Matrices stored this way may only be
1505    read into matrices of the same type.
1506 */
1507 #define MATRIX_BINARY_FORMAT_DENSE -1
1508 
1509 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1510 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1511 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1512 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1513 
1514 /*S
1515      MatNullSpace - Object that removes a null space from a vector, i.e.
1516          orthogonalizes the vector to a subsapce
1517 
1518    Level: advanced
1519 
1520   Concepts: matrix; linear operator, null space
1521 
1522   Users manual sections:
1523 .   sec_singular
1524 
1525 .seealso:  MatNullSpaceCreate()
1526 S*/
1527 typedef struct _p_MatNullSpace* MatNullSpace;
1528 
1529 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1530 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1531 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1532 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1533 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1534 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1535 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1536 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1537 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1538 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1539 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1540 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1541 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1542 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1543 
1544 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1545 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1546 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1547 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1548 
1549 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1550 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1551 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1552 
1553 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1554 
1555 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1556 
1557 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1558 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1559 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1560 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1561 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1562 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1563 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1564 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1565 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1566 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1567 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1568 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1569 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1570 
1571 /*S
1572     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1573               Jacobian vector products
1574 
1575     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1576 
1577            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1578 
1579     Level: developer
1580 
1581 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1582 S*/
1583 typedef struct _p_MatMFFD* MatMFFD;
1584 
1585 /*J
1586     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1587 
1588    Level: beginner
1589 
1590 .seealso: MatMFFDSetType(), MatMFFDRegister()
1591 J*/
1592 typedef const char* MatMFFDType;
1593 #define MATMFFD_DS  "ds"
1594 #define MATMFFD_WP  "wp"
1595 
1596 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1597 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1598 
1599 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1600 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1601 
1602 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1603 
1604 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1605 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1606 
1607 /*
1608    PETSc interface to MUMPS
1609 */
1610 #ifdef PETSC_HAVE_MUMPS
1611 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1612 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1613 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1614 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1615 
1616 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1617 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1618 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1619 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1620 #endif
1621 
1622 /*
1623    PETSc interface to Mkl_Pardiso
1624 */
1625 #ifdef PETSC_HAVE_MKL_PARDISO
1626 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1627 #endif
1628 
1629 /*
1630    PETSc interface to Mkl_CPardiso
1631 */
1632 #ifdef PETSC_HAVE_MKL_CPARDISO
1633 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1634 #endif
1635 
1636 /*
1637    PETSc interface to SUPERLU
1638 */
1639 #ifdef PETSC_HAVE_SUPERLU
1640 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1641 #endif
1642 
1643 /*
1644    PETSc interface to SUPERLU_DIST
1645 */
1646 #ifdef PETSC_HAVE_SUPERLU_DIST
1647 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1648 #endif
1649 
1650 /*
1651    PETSc interface to STRUMPACK
1652 */
1653 #ifdef PETSC_HAVE_STRUMPACK
1654 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1655 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1656 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1657 #endif
1658 
1659 
1660 #ifdef PETSC_HAVE_CUDA
1661 /*E
1662     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1663     matrices.
1664 
1665     Not Collective
1666 
1667 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1668 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1669 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1670 
1671     Level: intermediate
1672 
1673    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1674 
1675 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1676 E*/
1677 
1678 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1679 
1680 /* these will be strings associated with enumerated type defined above */
1681 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1682 
1683 /*E
1684     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1685     matrices whose operation should use a particular storage format.
1686 
1687     Not Collective
1688 
1689 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1690 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1691 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1692 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1693 
1694     Level: intermediate
1695 
1696 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1697 E*/
1698 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1699 
1700 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1701 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1702 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1703 #endif
1704 
1705 #if defined(PETSC_HAVE_CUSP)
1706 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1707 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1708 
1709 /*E
1710     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1711     matrices.
1712 
1713     Not Collective
1714 
1715 +   MAT_CUSP_CSR - Compressed Sparse Row
1716 .   MAT_CUSP_DIA - Diagonal
1717 -   MAT_CUSP_ELL - Ellpack
1718 
1719     Level: intermediate
1720 
1721    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1722 
1723 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1724 E*/
1725 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1726 
1727 /* these will be strings associated with enumerated type defined above */
1728 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1729 
1730 /*E
1731     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1732     matrices whose operation should use a particular storage format.
1733 
1734     Not Collective
1735 
1736 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1737 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1738 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1739 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1740 
1741     Level: intermediate
1742 
1743    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1744 
1745 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1746 E*/
1747 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1748 
1749 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1750 #endif
1751 
1752 #if defined(PETSC_HAVE_VIENNACL)
1753 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1754 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1755 #endif
1756 
1757 /*
1758    PETSc interface to FFTW
1759 */
1760 #if defined(PETSC_HAVE_FFTW)
1761 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1762 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1763 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1764 #endif
1765 
1766 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1767 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1768 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1769 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1770 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1771 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1772 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1773 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1774 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1775 
1776 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1777 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1778 
1779 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1780 
1781 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1782 
1783 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1784 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1785 
1786 #endif
1787