xref: /petsc/include/petscmat.h (revision 7294143f724bbda737018fa45f3d267ffee35a9d)
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 MATHYPRESTRUCT     "hyprestruct"
78 #define MATHYPRESSTRUCT    "hypresstruct"
79 #define MATSUBMATRIX       "submatrix"
80 #define MATLOCALREF        "localref"
81 #define MATNEST            "nest"
82 #define MATPREALLOCATOR    "preallocator"
83 
84 /*J
85     MatSolverPackage - String with the name of a PETSc matrix solver type.
86 
87     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
88 
89    Level: beginner
90 
91 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
92 J*/
93 #define MatSolverPackage char*
94 #define MATSOLVERSUPERLU      "superlu"
95 #define MATSOLVERSUPERLU_DIST "superlu_dist"
96 #define MATSOLVERSTRUMPACK    "strumpack"
97 #define MATSOLVERUMFPACK      "umfpack"
98 #define MATSOLVERCHOLMOD      "cholmod"
99 #define MATSOLVERKLU          "klu"
100 #define MATSOLVERCLIQUE       "clique"
101 #define MATSOLVERELEMENTAL    "elemental"
102 #define MATSOLVERESSL         "essl"
103 #define MATSOLVERLUSOL        "lusol"
104 #define MATSOLVERMUMPS        "mumps"
105 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
106 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
107 #define MATSOLVERPASTIX       "pastix"
108 #define MATSOLVERMATLAB       "matlab"
109 #define MATSOLVERPETSC        "petsc"
110 #define MATSOLVERBAS          "bas"
111 #define MATSOLVERCUSPARSE     "cusparse"
112 
113 /*E
114     MatFactorType - indicates what type of factorization is requested
115 
116     Level: beginner
117 
118    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
119 
120 .seealso: MatSolverPackage, MatGetFactor()
121 E*/
122 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
123 PETSC_EXTERN const char *const MatFactorTypes[];
124 
125 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
126 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
127 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
128 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
129 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
130 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
131 
132 /* Logging support */
133 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
134 PETSC_EXTERN PetscClassId MAT_CLASSID;
135 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
136 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
141 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
142 
143 /*E
144     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
145      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
146      that the input matrix is to be replaced with the converted matrix.
147 
148     Level: beginner
149 
150    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
151 
152 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
153 E*/
154 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
155 
156 /*E
157     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
158      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
159 
160     Level: beginner
161 
162 .seealso: MatGetSeqNonzerostructure()
163 E*/
164 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
165 
166 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
167 
168 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
169 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
170 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
171 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
172 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
173 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
174 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
175 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
176 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
177 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
178 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
179 
180 PETSC_EXTERN PetscFunctionList MatList;
181 PETSC_EXTERN PetscFunctionList MatColoringList;
182 PETSC_EXTERN PetscFunctionList MatPartitioningList;
183 
184 /*E
185     MatStructure - Indicates if two matrices have the same nonzero structure
186 
187     Level: beginner
188 
189    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
190 
191 .seealso: MatCopy(), MatAXPY()
192 E*/
193 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
194 
195 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
196 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
197 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
198 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
199 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
200 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
201 
202 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
205 
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
208 
209 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
211 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
212 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
213 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
214 
215 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
219 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
223 
224 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
225 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
226 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
227 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
229 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
230 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
231 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
232 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
233 
234 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
235 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
236 
237 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
238 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
240 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
241 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
242 
243 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
244 
245 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
246 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
247 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
248 
249 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
250 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
251 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
252 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
253 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
254 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
255 
256 /* ------------------------------------------------------------*/
257 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
258 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
259 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
260 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
261 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
262 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
263 
264 /*S
265      MatStencil - Data structure (C struct) for storing information about a single row or
266         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
267 
268    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).
269    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.
270 
271    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
272 
273    Fortran usage is different, see MatSetValuesStencil() for details.
274 
275    Level: beginner
276 
277   Concepts: matrix; linear operator
278 
279 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
280 S*/
281 typedef struct {
282   PetscInt k,j,i,c;
283 } MatStencil;
284 
285 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
286 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
287 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
288 
289 /*E
290     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
291      to continue to add or insert values to it
292 
293     Level: beginner
294 
295 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
296 E*/
297 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
298 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
299 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
300 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
301 
302 
303 
304 /*E
305     MatOption - Options that may be set for a matrix and its behavior or storage
306 
307     Level: beginner
308 
309    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
310 
311    Developer Notes: Entries that are negative need not be called collectively by all processes.
312 
313 .seealso: MatSetOption()
314 E*/
315 typedef enum {MAT_OPTION_MIN = -3,
316               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
317               MAT_ROW_ORIENTED = -1,
318               MAT_SYMMETRIC = 1,
319               MAT_STRUCTURALLY_SYMMETRIC = 2,
320               MAT_NEW_DIAGONALS = 3,
321               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
322               MAT_USE_HASH_TABLE = 5,
323               MAT_KEEP_NONZERO_PATTERN = 6,
324               MAT_IGNORE_ZERO_ENTRIES = 7,
325               MAT_USE_INODES = 8,
326               MAT_HERMITIAN = 9,
327               MAT_SYMMETRY_ETERNAL = 10,
328               MAT_NEW_NONZERO_LOCATION_ERR = 11,
329               MAT_IGNORE_LOWER_TRIANGULAR = 12,
330               MAT_ERROR_LOWER_TRIANGULAR = 13,
331               MAT_GETROW_UPPERTRIANGULAR = 14,
332               MAT_SPD = 15,
333               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
334               MAT_NO_OFF_PROC_ENTRIES = 17,
335               MAT_NEW_NONZERO_LOCATIONS = 18,
336               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
337               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
338               MAT_OPTION_MAX = 21} MatOption;
339 
340 PETSC_EXTERN const char *MatOptions[];
341 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
342 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
343 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
344 
345 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
346 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
347 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
348 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
349 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
350 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
351 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
352 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
353 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
354 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
355 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
356 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
357 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
358 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
359 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
360 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
361 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
362 
363 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
364 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
365 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
366 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
367 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
368 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
369 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
370 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
371 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
375 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
376 
377 /*E
378     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
379   its numerical values copied over or just its nonzero structure.
380 
381     Level: beginner
382 
383    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
384 
385 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
386 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
387 $                               have several matrices with the same nonzero pattern.
388 
389 .seealso: MatDuplicate()
390 E*/
391 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
392 
393 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
394 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
395 
396 
397 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
398 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
399 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
400 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
401 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
402 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
403 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
404 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
405 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
406 
407 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
408 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
409 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
410 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
411 
412 /*S
413      MatInfo - Context of matrix information, used with MatGetInfo()
414 
415    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
416 
417    Level: intermediate
418 
419   Concepts: matrix^nonzero information
420 
421 .seealso:  MatGetInfo(), MatInfoType
422 S*/
423 typedef struct {
424   PetscLogDouble block_size;                         /* block size */
425   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
426   PetscLogDouble memory;                             /* memory allocated */
427   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
428   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
429   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
430   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
431 } MatInfo;
432 
433 /*E
434     MatInfoType - Indicates if you want information about the local part of the matrix,
435      the entire parallel matrix or the maximum over all the local parts.
436 
437     Level: beginner
438 
439    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
440 
441 .seealso: MatGetInfo(), MatInfo
442 E*/
443 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
444 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
445 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
446 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
447 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
448 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
449 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
450 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
451 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
452 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
453 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
454 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
455 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
456 
457 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
458 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
459 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
460 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
461 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
462 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
463 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
464 
465 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
466 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
467 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
468 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
470 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
471 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
472 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
473 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
474 
475 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
476 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
477 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
478 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
479 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
480 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
481 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
482 
483 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
484 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
485 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
486 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
487 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
488 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
489 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
490 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
491 
492 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
493 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
494 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
495 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
496 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
497 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
498 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
499 
500 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
501 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
502 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
503 
504 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
505 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
506 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
507 
508 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
509 
510 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
511 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
513 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
516 
517 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
520 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
523 
524 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
525 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
526 
527 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
528 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
529 
530 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
531 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
532 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
533 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
534 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
535 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
536 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
537 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
538 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
539 
540 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
541 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
542 
543 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
547 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
548 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
549 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
550 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
551 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
552 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
553 
554 /*MC
555    MatSetValue - Set a single entry into a matrix.
556 
557    Not collective
558 
559    Synopsis:
560      #include <petscmat.h>
561      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
562 
563    Input Parameters:
564 +  m - the matrix
565 .  row - the row location of the entry
566 .  col - the column location of the entry
567 .  value - the value to insert
568 -  mode - either INSERT_VALUES or ADD_VALUES
569 
570    Notes:
571    For efficiency one should use MatSetValues() and set several or many
572    values simultaneously if possible.
573 
574    Level: beginner
575 
576 .seealso: MatSetValues(), MatSetValueLocal()
577 M*/
578 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
579 
580 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
581 
582 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
583 
584 /*MC
585    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
586        row in a matrix providing the data that one can use to correctly preallocate the matrix.
587 
588    Synopsis:
589    #include <petscmat.h>
590    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
591 
592    Collective on MPI_Comm
593 
594    Input Parameters:
595 +  comm - the communicator that will share the eventually allocated matrix
596 .  nrows - the number of LOCAL rows in the matrix
597 -  ncols - the number of LOCAL columns in the matrix
598 
599    Output Parameters:
600 +  dnz - the array that will be passed to the matrix preallocation routines
601 -  ozn - the other array passed to the matrix preallocation routines
602 
603    Level: intermediate
604 
605    Notes:
606     See Users-Manual: ch_performance for more details.
607 
608    Do not malloc or free dnz and onz, that is handled internally by these routines
609 
610    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
611 
612    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
613 
614   Concepts: preallocation^Matrix
615 
616 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
617           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
618 M*/
619 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
620 { \
621   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
622   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
623   __start = 0; __end = __start;                                         \
624   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
625   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
626 
627 /*MC
628    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
629        inserted using a local number of the rows and columns
630 
631    Synopsis:
632    #include <petscmat.h>
633    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
634 
635    Not Collective
636 
637    Input Parameters:
638 +  map - the row mapping from local numbering to global numbering
639 .  nrows - the number of rows indicated
640 .  rows - the indices of the rows
641 .  cmap - the column mapping from local to global numbering
642 .  ncols - the number of columns in the matrix
643 .  cols - the columns indicated
644 .  dnz - the array that will be passed to the matrix preallocation routines
645 -  ozn - the other array passed to the matrix preallocation routines
646 
647    Level: intermediate
648 
649    Notes:
650     See Users-Manual: ch_performance for more details.
651 
652    Do not malloc or free dnz and onz, that is handled internally by these routines
653 
654   Concepts: preallocation^Matrix
655 
656 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
657           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
658 M*/
659 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
660 {\
661   PetscInt __l;\
662   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
663   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
664   for (__l=0;__l<nrows;__l++) {\
665     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
666   }\
667 }
668 
669 /*MC
670    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
671        inserted using a local number of the rows and columns
672 
673    Synopsis:
674    #include <petscmat.h>
675    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
676 
677    Not Collective
678 
679    Input Parameters:
680 +  map - the row mapping from local numbering to global numbering
681 .  nrows - the number of rows indicated
682 .  rows - the indices of the rows
683 .  cmap - the column mapping from local to global numbering
684 .  ncols - the number of columns in the matrix
685 .  cols - the columns indicated
686 .  dnz - the array that will be passed to the matrix preallocation routines
687 -  ozn - the other array passed to the matrix preallocation routines
688 
689    Level: intermediate
690 
691    Notes:
692     See Users-Manual: ch_performance for more details.
693 
694    Do not malloc or free dnz and onz, that is handled internally by these routines
695 
696   Concepts: preallocation^Matrix
697 
698 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
699           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
700 M*/
701 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
702 {\
703   PetscInt __l;\
704   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
705   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
706   for (__l=0;__l<nrows;__l++) {\
707     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
708   }\
709 }
710 
711 /*MC
712    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
713        inserted using a local number of the rows and columns
714 
715    Synopsis:
716    #include <petscmat.h>
717    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
718 
719    Not Collective
720 
721    Input Parameters:
722 +  map - the mapping between local numbering and global numbering
723 .  nrows - the number of rows indicated
724 .  rows - the indices of the rows
725 .  ncols - the number of columns in the matrix
726 .  cols - the columns indicated
727 .  dnz - the array that will be passed to the matrix preallocation routines
728 -  ozn - the other array passed to the matrix preallocation routines
729 
730    Level: intermediate
731 
732    Notes:
733     See Users-Manual: ch_performance for more details.
734 
735    Do not malloc or free dnz and onz that is handled internally by these routines
736 
737   Concepts: preallocation^Matrix
738 
739 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
740           MatPreallocateInitialize(),  MatPreallocateSetLocal()
741 M*/
742 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
743 {\
744   PetscInt __l;\
745   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
746   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
747   for (__l=0;__l<nrows;__l++) {\
748     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
749   }\
750 }
751 /*MC
752    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
753        inserted using a local number of the rows and columns
754 
755    Synopsis:
756    #include <petscmat.h>
757    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
758 
759    Not Collective
760 
761    Input Parameters:
762 +  row - the row
763 .  ncols - the number of columns in the matrix
764 -  cols - the columns indicated
765 
766    Output Parameters:
767 +  dnz - the array that will be passed to the matrix preallocation routines
768 -  ozn - the other array passed to the matrix preallocation routines
769 
770    Level: intermediate
771 
772    Notes:
773     See Users-Manual: ch_performance for more details.
774 
775    Do not malloc or free dnz and onz that is handled internally by these routines
776 
777    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
778 
779   Concepts: preallocation^Matrix
780 
781 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
782           MatPreallocateInitialize(), MatPreallocateSetLocal()
783 M*/
784 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
785 { PetscInt __i; \
786   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);\
787   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);\
788   for (__i=0; __i<nc; __i++) {\
789     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
790     else dnz[row - __rstart]++;\
791   }\
792 }
793 
794 /*MC
795    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
796        inserted using a local number of the rows and columns
797 
798    Synopsis:
799    #include <petscmat.h>
800    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
801 
802    Not Collective
803 
804    Input Parameters:
805 +  nrows - the number of rows indicated
806 .  rows - the indices of the rows
807 .  ncols - the number of columns in the matrix
808 .  cols - the columns indicated
809 .  dnz - the array that will be passed to the matrix preallocation routines
810 -  ozn - the other array passed to the matrix preallocation routines
811 
812    Level: intermediate
813 
814    Notes:
815     See Users-Manual: ch_performance for more details.
816 
817    Do not malloc or free dnz and onz that is handled internally by these routines
818 
819    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
820 
821   Concepts: preallocation^Matrix
822 
823 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
824           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
825 M*/
826 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
827 { PetscInt __i; \
828   for (__i=0; __i<nc; __i++) {\
829     if (cols[__i] >= __end) onz[row - __rstart]++; \
830     else if (cols[__i] >= row) dnz[row - __rstart]++;\
831   }\
832 }
833 
834 /*MC
835    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
836 
837    Synopsis:
838    #include <petscmat.h>
839    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
840 
841    Not Collective
842 
843    Input Parameters:
844 .  A - matrix
845 .  row - row where values exist (must be local to this process)
846 .  ncols - number of columns
847 .  cols - columns with nonzeros
848 .  dnz - the array that will be passed to the matrix preallocation routines
849 -  ozn - the other array passed to the matrix preallocation routines
850 
851    Level: intermediate
852 
853    Notes:
854     See Users-Manual: ch_performance for more details.
855 
856    Do not malloc or free dnz and onz that is handled internally by these routines
857 
858    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
859 
860   Concepts: preallocation^Matrix
861 
862 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
863           MatPreallocateSymmetricSetLocalBlock()
864 M*/
865 #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);}
866 
867 
868 /*MC
869    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
870        row in a matrix providing the data that one can use to correctly preallocate the matrix.
871 
872    Synopsis:
873    #include <petscmat.h>
874    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
875 
876    Collective on MPI_Comm
877 
878    Input Parameters:
879 +  dnz - the array that was be passed to the matrix preallocation routines
880 -  ozn - the other array passed to the matrix preallocation routines
881 
882    Level: intermediate
883 
884    Notes:
885     See Users-Manual: ch_performance for more details.
886 
887    Do not malloc or free dnz and onz that is handled internally by these routines
888 
889    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
890 
891   Concepts: preallocation^Matrix
892 
893 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
894           MatPreallocateSymmetricSetLocalBlock()
895 M*/
896 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
897 
898 /* Routines unique to particular data structures */
899 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
900 
901 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
902 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
903 
904 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
905 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
906 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
907 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
908 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
909 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
910 
911 #define MAT_SKIP_ALLOCATION -4
912 
913 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
914 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
915 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
916 
917 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
918 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
919 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
920 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
921 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
922 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
923 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
924 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
925 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
926 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
927 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
928 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
929 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
930 
931 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
933 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
934 
935 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
936 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
937 
938 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
939 
940 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
941 /*
942   These routines are not usually accessed directly, rather solving is
943   done through the KSP and PC interfaces.
944 */
945 
946 /*J
947     MatOrderingType - String with the name of a PETSc matrix ordering
948 
949    Level: beginner
950 
951 .seealso: MatGetOrdering()
952 J*/
953 typedef const char* MatOrderingType;
954 #define MATORDERINGNATURAL     "natural"
955 #define MATORDERINGND          "nd"
956 #define MATORDERING1WD         "1wd"
957 #define MATORDERINGRCM         "rcm"
958 #define MATORDERINGQMD         "qmd"
959 #define MATORDERINGROWLENGTH   "rowlength"
960 #define MATORDERINGWBM         "wbm"
961 #define MATORDERINGSPECTRAL    "spectral"
962 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
963 
964 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
965 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
966 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
967 PETSC_EXTERN PetscFunctionList MatOrderingList;
968 
969 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
970 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
971 
972 /*S
973     MatFactorShiftType - Numeric Shift.
974 
975    Level: beginner
976 
977 S*/
978 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
979 PETSC_EXTERN const char *const MatFactorShiftTypes[];
980 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
981 
982 /*S
983     MatFactorError - indicates what type of error in matrix factor
984 
985     Level: beginner
986 
987     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
988 
989 .seealso: MatGetFactor()
990 S*/
991 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
992 
993 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
994 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
995 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
996 
997 /*S
998    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
999 
1000    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1001 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1002 
1003    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1004 
1005       You can use MatFactorInfoInitialize() to set default values.
1006 
1007    Level: developer
1008 
1009 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1010           MatFactorInfoInitialize()
1011 
1012 S*/
1013 typedef struct {
1014   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1015   PetscReal     usedt;
1016   PetscReal     dt;             /* drop tolerance */
1017   PetscReal     dtcol;          /* tolerance for pivoting */
1018   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1019   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1020   PetscReal     levels;         /* ICC/ILU(levels) */
1021   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1022                                    factorization may be faster if do not pivot */
1023   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1024   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1025   PetscReal     shiftamount;     /* how large the shift is */
1026 } MatFactorInfo;
1027 
1028 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1037 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1038 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1039 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1040 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1042 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1043 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1044 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1045 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1046 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1047 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1048 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1049 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1050 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1051 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1052 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1053 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1054 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1055 
1056 /*E
1057     MatSORType - What type of (S)SOR to perform
1058 
1059     Level: beginner
1060 
1061    May be bitwise ORd together
1062 
1063    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1064 
1065    MatSORType may be bitwise ORd together, so do not change the numbers
1066 
1067 .seealso: MatSOR()
1068 E*/
1069 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1070               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1071               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1072               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1073 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1074 
1075 /*
1076     These routines are for efficiently computing Jacobians via finite differences.
1077 */
1078 
1079 /*S
1080      MatColoring - Object for managing the coloring of matrices.
1081 
1082    Level: beginner
1083 
1084   Concepts: matrix, coloring
1085 
1086 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1087 S*/
1088 typedef struct _p_MatColoring* MatColoring;
1089 /*J
1090     MatColoringType - String with the name of a PETSc matrix coloring
1091 
1092    Level: beginner
1093 
1094 .seealso: MatColoringSetType(), MatColoring
1095 J*/
1096 
1097 typedef const  char*           MatColoringType;
1098 #define MATCOLORINGJP      "jp"
1099 #define MATCOLORINGPOWER   "power"
1100 #define MATCOLORINGNATURAL "natural"
1101 #define MATCOLORINGSL      "sl"
1102 #define MATCOLORINGLF      "lf"
1103 #define MATCOLORINGID      "id"
1104 #define MATCOLORINGGREEDY  "greedy"
1105 
1106 /*E
1107    MatColoringWeightType - Type of weight scheme
1108 
1109     Not Collective
1110 
1111 +   MAT_COLORING_RANDOM  - Random weights
1112 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1113 -   MAT_COLORING_LF      - Last-first weighting.
1114 
1115     Level: intermediate
1116 
1117    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1118 
1119 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1120 E*/
1121 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1122 
1123 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1124 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1125 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1126 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1127 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1128 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1129 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1130 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1131 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1132 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1133 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1134 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1135 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1136 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1137 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1138 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1139 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1140 
1141 /*S
1142      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1143         and coloring
1144 
1145    Level: beginner
1146 
1147   Concepts: coloring, sparse Jacobian, finite differences
1148 
1149 .seealso:  MatFDColoringCreate()
1150 S*/
1151 typedef struct _p_MatFDColoring* MatFDColoring;
1152 
1153 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1154 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1155 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1156 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1157 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1158 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1159 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1160 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1161 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1162 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1163 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1164 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1165 
1166 
1167 /*S
1168      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1169 
1170    Level: beginner
1171 
1172   Concepts: coloring, sparse matrix product
1173 
1174 .seealso:  MatTransposeColoringCreate()
1175 S*/
1176 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1177 
1178 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1179 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1180 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1181 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1182 
1183 /*
1184     These routines are for partitioning matrices: currently used only
1185   for adjacency matrix, MatCreateMPIAdj().
1186 */
1187 
1188 /*S
1189      MatPartitioning - Object for managing the partitioning of a matrix or graph
1190 
1191    Level: beginner
1192 
1193   Concepts: partitioning
1194 
1195 .seealso:  MatPartitioningCreate(), MatPartitioningType
1196 S*/
1197 typedef struct _p_MatPartitioning* MatPartitioning;
1198 
1199 /*J
1200     MatPartitioningType - String with the name of a PETSc matrix partitioning
1201 
1202    Level: beginner
1203 dm
1204 .seealso: MatPartitioningCreate(), MatPartitioning
1205 J*/
1206 typedef const char* MatPartitioningType;
1207 #define MATPARTITIONINGCURRENT  "current"
1208 #define MATPARTITIONINGAVERAGE   "average"
1209 #define MATPARTITIONINGSQUARE   "square"
1210 #define MATPARTITIONINGPARMETIS "parmetis"
1211 #define MATPARTITIONINGCHACO    "chaco"
1212 #define MATPARTITIONINGPARTY    "party"
1213 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1214 #define MATPARTITIONINGHIERARCH  "hierarch"
1215 
1216 
1217 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1218 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1219 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1221 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1222 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1223 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1224 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1225 
1226 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1227 
1228 
1229 
1230 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1231 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1233 
1234 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1235 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1237 
1238 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1239 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1240 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1241 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1242 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1243 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1244 
1245 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1246 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1247 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1248 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1249 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1250 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1251 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1252 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1253 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1254 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1255 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1256 
1257 #define MP_PARTY_OPT "opt"
1258 #define MP_PARTY_LIN "lin"
1259 #define MP_PARTY_SCA "sca"
1260 #define MP_PARTY_RAN "ran"
1261 #define MP_PARTY_GBF "gbf"
1262 #define MP_PARTY_GCF "gcf"
1263 #define MP_PARTY_BUB "bub"
1264 #define MP_PARTY_DEF "def"
1265 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1266 #define MP_PARTY_HELPFUL_SETS "hs"
1267 #define MP_PARTY_KERNIGHAN_LIN "kl"
1268 #define MP_PARTY_NONE "no"
1269 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1270 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1271 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1272 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1273 
1274 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1275 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1276 
1277 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1278 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1279 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1280 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1281 
1282 /*
1283  * hierarchical partitioning
1284  */
1285 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1286 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1287 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1288 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1289 
1290 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1291 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1292 
1293 /*
1294     If you add entries here you must also add them to petsc/finclude/petscmat.h
1295 */
1296 typedef enum { MATOP_SET_VALUES=0,
1297                MATOP_GET_ROW=1,
1298                MATOP_RESTORE_ROW=2,
1299                MATOP_MULT=3,
1300                MATOP_MULT_ADD=4,
1301                MATOP_MULT_TRANSPOSE=5,
1302                MATOP_MULT_TRANSPOSE_ADD=6,
1303                MATOP_SOLVE=7,
1304                MATOP_SOLVE_ADD=8,
1305                MATOP_SOLVE_TRANSPOSE=9,
1306                MATOP_SOLVE_TRANSPOSE_ADD=10,
1307                MATOP_LUFACTOR=11,
1308                MATOP_CHOLESKYFACTOR=12,
1309                MATOP_SOR=13,
1310                MATOP_TRANSPOSE=14,
1311                MATOP_GETINFO=15,
1312                MATOP_EQUAL=16,
1313                MATOP_GET_DIAGONAL=17,
1314                MATOP_DIAGONAL_SCALE=18,
1315                MATOP_NORM=19,
1316                MATOP_ASSEMBLY_BEGIN=20,
1317                MATOP_ASSEMBLY_END=21,
1318                MATOP_SET_OPTION=22,
1319                MATOP_ZERO_ENTRIES=23,
1320                MATOP_ZERO_ROWS=24,
1321                MATOP_LUFACTOR_SYMBOLIC=25,
1322                MATOP_LUFACTOR_NUMERIC=26,
1323                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1324                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1325                MATOP_SETUP_PREALLOCATION=29,
1326                MATOP_ILUFACTOR_SYMBOLIC=30,
1327                MATOP_ICCFACTOR_SYMBOLIC=31,
1328                MATOP_GET_DIAGONAL_BLOCK=32,
1329                /* MATOP_PLACEHOLDER_33=33, */
1330                MATOP_DUPLICATE=34,
1331                MATOP_FORWARD_SOLVE=35,
1332                MATOP_BACKWARD_SOLVE=36,
1333                MATOP_ILUFACTOR=37,
1334                MATOP_ICCFACTOR=38,
1335                MATOP_AXPY=39,
1336                MATOP_GET_SUBMATRICES=40,
1337                MATOP_INCREASE_OVERLAP=41,
1338                MATOP_GET_VALUES=42,
1339                MATOP_COPY=43,
1340                MATOP_GET_ROW_MAX=44,
1341                MATOP_SCALE=45,
1342                MATOP_SHIFT=46,
1343                MATOP_DIAGONAL_SET=47,
1344                MATOP_ZERO_ROWS_COLUMNS=48,
1345                MATOP_SET_RANDOM=49,
1346                MATOP_GET_ROW_IJ=50,
1347                MATOP_RESTORE_ROW_IJ=51,
1348                MATOP_GET_COLUMN_IJ=52,
1349                MATOP_RESTORE_COLUMN_IJ=53,
1350                MATOP_FDCOLORING_CREATE=54,
1351                MATOP_COLORING_PATCH=55,
1352                MATOP_SET_UNFACTORED=56,
1353                MATOP_PERMUTE=57,
1354                MATOP_SET_VALUES_BLOCKED=58,
1355                MATOP_GET_SUBMATRIX=59,
1356                MATOP_DESTROY=60,
1357                MATOP_VIEW=61,
1358                MATOP_CONVERT_FROM=62,
1359                MATOP_MATMAT_MULT=63,
1360                MATOP_MATMAT_MULT_SYMBOLIC=64,
1361                MATOP_MATMAT_MULT_NUMERIC=65,
1362                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1363                MATOP_SET_VALUES_LOCAL=67,
1364                MATOP_ZERO_ROWS_LOCAL=68,
1365                MATOP_GET_ROW_MAX_ABS=69,
1366                MATOP_GET_ROW_MIN_ABS=70,
1367                MATOP_CONVERT=71,
1368                MATOP_SET_COLORING=72,
1369                /* MATOP_PLACEHOLDER_73=73, */
1370                MATOP_SET_VALUES_ADIFOR=74,
1371                MATOP_FD_COLORING_APPLY=75,
1372                MATOP_SET_FROM_OPTIONS=76,
1373                MATOP_MULT_CONSTRAINED=77,
1374                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1375                MATOP_FIND_ZERO_DIAGONALS=79,
1376                MATOP_MULT_MULTIPLE=80,
1377                MATOP_SOLVE_MULTIPLE=81,
1378                MATOP_GET_INERTIA=82,
1379                MATOP_LOAD=83,
1380                MATOP_IS_SYMMETRIC=84,
1381                MATOP_IS_HERMITIAN=85,
1382                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1383                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1384                MATOP_GET_VECS=88,
1385                MATOP_MAT_MULT=89,
1386                MATOP_MAT_MULT_SYMBOLIC=90,
1387                MATOP_MAT_MULT_NUMERIC=91,
1388                MATOP_PTAP=92,
1389                MATOP_PTAP_SYMBOLIC=93,
1390                MATOP_PTAP_NUMERIC=94,
1391                MATOP_MAT_TRANSPOSE_MULT=95,
1392                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1393                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1394                /* MATOP_PLACEHOLDER_98=98, */
1395                /* MATOP_PLACEHOLDER_99=99, */
1396                /* MATOP_PLACEHOLDER_100=100, */
1397                /* MATOP_PLACEHOLDER_101=101, */
1398                MATOP_CONJUGATE=102,
1399                /* MATOP_PLACEHOLDER_103=103, */
1400                MATOP_SET_VALUES_ROW=104,
1401                MATOP_REAL_PART=105,
1402                MATOP_IMAGINARY_PART=106,
1403                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1404                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1405                MATOP_MAT_SOLVE=109,
1406                MATOP_GET_REDUNDANT_MATRIX=110,
1407                MATOP_GET_ROW_MIN=111,
1408                MATOP_GET_COLUMN_VECTOR=112,
1409                MATOP_MISSING_DIAGONAL=113,
1410                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1411                MATOP_CREATE=115,
1412                MATOP_GET_GHOSTS=116,
1413                MATOP_GET_LOCAL_SUB_MATRIX=117,
1414                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1415                MATOP_MULT_DIAGONAL_BLOCK=119,
1416                MATOP_HERMITIAN_TRANSPOSE=120,
1417                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1418                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1419                MATOP_GET_MULTI_PROC_BLOCK=123,
1420                MATOP_FIND_NONZERO_ROWS=124,
1421                MATOP_GET_COLUMN_NORMS=125,
1422                MATOP_INVERT_BLOCK_DIAGONAL=126,
1423                /* MATOP_PLACEHOLDER_127=127, */
1424                MATOP_GET_SUB_MATRICES_PARALLE=128,
1425                MATOP_SET_VALUES_BATCH=129,
1426                MATOP_TRANSPOSE_MAT_MULT=130,
1427                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1428                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1429                MATOP_TRANSPOSE_COLORING_CREAT=133,
1430                MATOP_TRANS_COLORING_APPLY_SPT=134,
1431                MATOP_TRANS_COLORING_APPLY_DEN=135,
1432                MATOP_RART=136,
1433                MATOP_RART_SYMBOLIC=137,
1434                MATOP_RART_NUMERIC=138,
1435                MATOP_SET_BLOCK_SIZES=139,
1436                MATOP_AYPX=140,
1437                MATOP_RESIDUAL=141,
1438                MATOP_FDCOLORING_SETUP=142,
1439                MATOP_MPICONCATENATESEQ=144
1440              } MatOperation;
1441 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1442 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1443 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1444 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1445 
1446 /*
1447    Codes for matrices stored on disk. By default they are
1448    stored in a universal format. By changing the format with
1449    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1450    be stored in a way natural for the matrix, for example dense matrices
1451    would be stored as dense. Matrices stored this way may only be
1452    read into matrices of the same type.
1453 */
1454 #define MATRIX_BINARY_FORMAT_DENSE -1
1455 
1456 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1457 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1458 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1459 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1460 
1461 /*S
1462      MatNullSpace - Object that removes a null space from a vector, i.e.
1463          orthogonalizes the vector to a subsapce
1464 
1465    Level: advanced
1466 
1467   Concepts: matrix; linear operator, null space
1468 
1469   Users manual sections:
1470 .   sec_singular
1471 
1472 .seealso:  MatNullSpaceCreate()
1473 S*/
1474 typedef struct _p_MatNullSpace* MatNullSpace;
1475 
1476 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1477 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1478 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1479 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1480 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1481 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1482 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1483 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1484 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1485 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1486 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1487 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1488 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1489 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1490 
1491 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1492 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1493 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1494 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1495 
1496 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1497 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1498 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1499 
1500 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1501 
1502 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1503 
1504 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1505 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1506 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1507 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1508 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1509 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1510 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1511 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1512 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1513 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1514 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1515 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1516 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1517 
1518 /*S
1519     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1520               Jacobian vector products
1521 
1522     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1523 
1524            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1525 
1526     Level: developer
1527 
1528 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1529 S*/
1530 typedef struct _p_MatMFFD* MatMFFD;
1531 
1532 /*J
1533     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1534 
1535    Level: beginner
1536 
1537 .seealso: MatMFFDSetType(), MatMFFDRegister()
1538 J*/
1539 typedef const char* MatMFFDType;
1540 #define MATMFFD_DS  "ds"
1541 #define MATMFFD_WP  "wp"
1542 
1543 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1544 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1545 
1546 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1547 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1548 
1549 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1550 
1551 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1552 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1553 
1554 /*
1555    PETSc interface to MUMPS
1556 */
1557 #ifdef PETSC_HAVE_MUMPS
1558 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1559 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1560 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1561 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1562 
1563 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1564 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1565 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1566 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1567 #endif
1568 
1569 /*
1570    PETSc interface to Mkl_Pardiso
1571 */
1572 #ifdef PETSC_HAVE_MKL_PARDISO
1573 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1574 #endif
1575 
1576 /*
1577    PETSc interface to Mkl_CPardiso
1578 */
1579 #ifdef PETSC_HAVE_MKL_CPARDISO
1580 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1581 #endif
1582 
1583 /*
1584    PETSc interface to SUPERLU
1585 */
1586 #ifdef PETSC_HAVE_SUPERLU
1587 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1588 #endif
1589 
1590 /*
1591    PETSc interface to SUPERLU_DIST
1592 */
1593 #ifdef PETSC_HAVE_SUPERLU_DIST
1594 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1595 #endif
1596 
1597 /*
1598    PETSc interface to STRUMPACK
1599 */
1600 #ifdef PETSC_HAVE_STRUMPACK
1601 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1602 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1603 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1604 #endif
1605 
1606 
1607 #ifdef PETSC_HAVE_CUDA
1608 /*E
1609     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1610     matrices.
1611 
1612     Not Collective
1613 
1614 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1615 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1616 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1617 
1618     Level: intermediate
1619 
1620    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1621 
1622 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1623 E*/
1624 
1625 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1626 
1627 /* these will be strings associated with enumerated type defined above */
1628 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1629 
1630 /*E
1631     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1632     matrices whose operation should use a particular storage format.
1633 
1634     Not Collective
1635 
1636 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1637 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1638 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1639 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1640 
1641     Level: intermediate
1642 
1643 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1644 E*/
1645 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1646 
1647 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1648 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1649 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1650 #endif
1651 
1652 #if defined(PETSC_HAVE_CUSP)
1653 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1654 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1655 
1656 /*E
1657     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1658     matrices.
1659 
1660     Not Collective
1661 
1662 +   MAT_CUSP_CSR - Compressed Sparse Row
1663 .   MAT_CUSP_DIA - Diagonal
1664 -   MAT_CUSP_ELL - Ellpack
1665 
1666     Level: intermediate
1667 
1668    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1669 
1670 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1671 E*/
1672 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1673 
1674 /* these will be strings associated with enumerated type defined above */
1675 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1676 
1677 /*E
1678     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1679     matrices whose operation should use a particular storage format.
1680 
1681     Not Collective
1682 
1683 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1684 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1685 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1686 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1687 
1688     Level: intermediate
1689 
1690    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1691 
1692 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1693 E*/
1694 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1695 
1696 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1697 #endif
1698 
1699 #if defined(PETSC_HAVE_VIENNACL)
1700 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1701 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1702 #endif
1703 
1704 /*
1705    PETSc interface to FFTW
1706 */
1707 #if defined(PETSC_HAVE_FFTW)
1708 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1709 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1710 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1711 #endif
1712 
1713 /*
1714    PETSc interface to ELEMENTAL
1715 */
1716 #if defined(PETSC_HAVE_ELEMENTAL)
1717 #if defined(PETSC_USE_COMPLEX)
1718 typedef El::Complex<PetscReal> PetscElemScalar;
1719 #else
1720 typedef PetscScalar PetscElemScalar;
1721 #endif
1722 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1723 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1724 #endif
1725 
1726 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1727 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1728 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1729 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1730 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1731 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1732 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1733 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1734 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1735 
1736 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1737 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1738 
1739 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1740 
1741 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1742 
1743 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1744 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1745 
1746 #endif
1747