xref: /petsc/include/petscmat.h (revision c688d0420b4e513ff34944d1e1ad7d4e50aafa8d)
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,Mat,Mat*);
219 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
222 
223 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
224 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
225 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
226 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
228 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
229 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
230 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
231 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
232 
233 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
235 
236 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
237 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
238 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
239 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
240 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
241 
242 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
243 
244 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
245 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
246 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
247 
248 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
249 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
250 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
251 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
252 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
253 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
254 
255 /* ------------------------------------------------------------*/
256 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
257 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
258 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
259 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
260 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
261 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
262 
263 /*S
264      MatStencil - Data structure (C struct) for storing information about a single row or
265         column of a matrix as indexed on an associated grid.
266 
267    Fortran usage is different, see MatSetValuesStencil() for details.
268 
269    Level: beginner
270 
271   Concepts: matrix; linear operator
272 
273 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
274 S*/
275 typedef struct {
276   PetscInt k,j,i,c;
277 } MatStencil;
278 
279 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
280 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
281 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
282 
283 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
284 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
285 
286 /*E
287     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
288      to continue to add values to it
289 
290     Level: beginner
291 
292 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
293 E*/
294 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
295 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
296 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
297 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
298 
299 
300 
301 /*E
302     MatOption - Options that may be set for a matrix and its behavior or storage
303 
304     Level: beginner
305 
306    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
307 
308    Developer Notes: Entries that are negative need not be called collectively by all processes.
309 
310 .seealso: MatSetOption()
311 E*/
312 typedef enum {MAT_OPTION_MIN = -3,
313               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
314               MAT_ROW_ORIENTED = -1,
315               MAT_SYMMETRIC = 1,
316               MAT_STRUCTURALLY_SYMMETRIC = 2,
317               MAT_NEW_DIAGONALS = 3,
318               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
319               MAT_USE_HASH_TABLE = 5,
320               MAT_KEEP_NONZERO_PATTERN = 6,
321               MAT_IGNORE_ZERO_ENTRIES = 7,
322               MAT_USE_INODES = 8,
323               MAT_HERMITIAN = 9,
324               MAT_SYMMETRY_ETERNAL = 10,
325               MAT_NEW_NONZERO_LOCATION_ERR = 11,
326               MAT_IGNORE_LOWER_TRIANGULAR = 12,
327               MAT_ERROR_LOWER_TRIANGULAR = 13,
328               MAT_GETROW_UPPERTRIANGULAR = 14,
329               MAT_SPD = 15,
330               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
331               MAT_NO_OFF_PROC_ENTRIES = 17,
332               MAT_NEW_NONZERO_LOCATIONS = 18,
333               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
334               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
335               MAT_OPTION_MAX = 21} MatOption;
336 
337 PETSC_EXTERN const char *MatOptions[];
338 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
339 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
340 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
341 
342 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
343 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
344 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
345 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
346 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
347 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
348 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
349 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
350 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
351 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
352 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
353 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
354 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
355 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
356 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
357 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
358 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
359 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
360 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
361 
362 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
363 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
364 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
365 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
366 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
367 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
368 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
369 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
370 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
371 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
374 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
375 
376 /*E
377     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
378   its numerical values copied over or just its nonzero structure.
379 
380     Level: beginner
381 
382    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
383 
384 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
385 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
386 $                               have several matrices with the same nonzero pattern.
387 
388 .seealso: MatDuplicate()
389 E*/
390 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
391 
392 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
393 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
394 
395 
396 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
397 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
398 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
399 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
400 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
401 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
402 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
403 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
404 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
405 
406 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
407 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
408 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
409 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
410 
411 /*S
412      MatInfo - Context of matrix information, used with MatGetInfo()
413 
414    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
415 
416    Level: intermediate
417 
418   Concepts: matrix^nonzero information
419 
420 .seealso:  MatGetInfo(), MatInfoType
421 S*/
422 typedef struct {
423   PetscLogDouble block_size;                         /* block size */
424   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
425   PetscLogDouble memory;                             /* memory allocated */
426   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
427   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
428   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
429   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
430 } MatInfo;
431 
432 /*E
433     MatInfoType - Indicates if you want information about the local part of the matrix,
434      the entire parallel matrix or the maximum over all the local parts.
435 
436     Level: beginner
437 
438    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
439 
440 .seealso: MatGetInfo(), MatInfo
441 E*/
442 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
443 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
444 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
445 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
446 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
447 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
448 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
449 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
450 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
451 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
452 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
453 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
454 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
455 
456 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
457 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
458 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
459 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
460 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
461 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
462 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
463 
464 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
465 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
466 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
467 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
468 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
470 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
471 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
472 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
473 
474 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
475 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
476 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
477 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
478 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
479 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
480 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
481 
482 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
483 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
484 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
485 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
486 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
487 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
488 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
489 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
490 
491 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
492 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
493 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
494 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
495 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
496 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
497 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
498 
499 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
500 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
501 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
502 
503 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
504 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
505 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
506 
507 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
508 
509 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
510 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
511 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
512 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
515 
516 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
519 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
522 
523 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
524 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
525 
526 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
527 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
528 
529 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
530 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
531 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
532 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
533 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
534 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
535 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
536 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
537 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
538 
539 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
540 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
541 
542 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
543 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
546 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
547 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
548 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
549 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
550 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
551 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
552 
553 /*MC
554    MatSetValue - Set a single entry into a matrix.
555 
556    Not collective
557 
558    Synopsis:
559      #include <petscmat.h>
560      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
561 
562    Input Parameters:
563 +  m - the matrix
564 .  row - the row location of the entry
565 .  col - the column location of the entry
566 .  value - the value to insert
567 -  mode - either INSERT_VALUES or ADD_VALUES
568 
569    Notes:
570    For efficiency one should use MatSetValues() and set several or many
571    values simultaneously if possible.
572 
573    Level: beginner
574 
575 .seealso: MatSetValues(), MatSetValueLocal()
576 M*/
577 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
578 
579 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
580 
581 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
582 
583 /*MC
584    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
585        row in a matrix providing the data that one can use to correctly preallocate the matrix.
586 
587    Synopsis:
588    #include <petscmat.h>
589    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
590 
591    Collective on MPI_Comm
592 
593    Input Parameters:
594 +  comm - the communicator that will share the eventually allocated matrix
595 .  nrows - the number of LOCAL rows in the matrix
596 -  ncols - the number of LOCAL columns in the matrix
597 
598    Output Parameters:
599 +  dnz - the array that will be passed to the matrix preallocation routines
600 -  ozn - the other array passed to the matrix preallocation routines
601 
602    Level: intermediate
603 
604    Notes:
605     See Users-Manual: ch_performance for more details.
606 
607    Do not malloc or free dnz and onz, that is handled internally by these routines
608 
609    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
610 
611    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
612 
613   Concepts: preallocation^Matrix
614 
615 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
616           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
617 M*/
618 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
619 { \
620   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
621   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
622   __start = 0; __end = __start;                                         \
623   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
624   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
625 
626 /*MC
627    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
628        inserted using a local number of the rows and columns
629 
630    Synopsis:
631    #include <petscmat.h>
632    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
633 
634    Not Collective
635 
636    Input Parameters:
637 +  map - the row mapping from local numbering to global numbering
638 .  nrows - the number of rows indicated
639 .  rows - the indices of the rows
640 .  cmap - the column mapping from local to global numbering
641 .  ncols - the number of columns in the matrix
642 .  cols - the columns indicated
643 .  dnz - the array that will be passed to the matrix preallocation routines
644 -  ozn - the other array passed to the matrix preallocation routines
645 
646    Level: intermediate
647 
648    Notes:
649     See Users-Manual: ch_performance for more details.
650 
651    Do not malloc or free dnz and onz, that is handled internally by these routines
652 
653   Concepts: preallocation^Matrix
654 
655 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
656           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
657 M*/
658 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
659 {\
660   PetscInt __l;\
661   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
662   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
663   for (__l=0;__l<nrows;__l++) {\
664     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
665   }\
666 }
667 
668 /*MC
669    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
670        inserted using a local number of the rows and columns
671 
672    Synopsis:
673    #include <petscmat.h>
674    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
675 
676    Not Collective
677 
678    Input Parameters:
679 +  map - the row mapping from local numbering to global numbering
680 .  nrows - the number of rows indicated
681 .  rows - the indices of the rows
682 .  cmap - the column mapping from local to global numbering
683 .  ncols - the number of columns in the matrix
684 .  cols - the columns indicated
685 .  dnz - the array that will be passed to the matrix preallocation routines
686 -  ozn - the other array passed to the matrix preallocation routines
687 
688    Level: intermediate
689 
690    Notes:
691     See Users-Manual: ch_performance for more details.
692 
693    Do not malloc or free dnz and onz, that is handled internally by these routines
694 
695   Concepts: preallocation^Matrix
696 
697 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
698           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
699 M*/
700 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
701 {\
702   PetscInt __l;\
703   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
704   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
705   for (__l=0;__l<nrows;__l++) {\
706     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
707   }\
708 }
709 
710 /*MC
711    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
712        inserted using a local number of the rows and columns
713 
714    Synopsis:
715    #include <petscmat.h>
716    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
717 
718    Not Collective
719 
720    Input Parameters:
721 +  map - the mapping between local numbering and global numbering
722 .  nrows - the number of rows indicated
723 .  rows - the indices of the rows
724 .  ncols - the number of columns in the matrix
725 .  cols - the columns indicated
726 .  dnz - the array that will be passed to the matrix preallocation routines
727 -  ozn - the other array passed to the matrix preallocation routines
728 
729    Level: intermediate
730 
731    Notes:
732     See Users-Manual: ch_performance for more details.
733 
734    Do not malloc or free dnz and onz that is handled internally by these routines
735 
736   Concepts: preallocation^Matrix
737 
738 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
739           MatPreallocateInitialize(),  MatPreallocateSetLocal()
740 M*/
741 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
742 {\
743   PetscInt __l;\
744   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
745   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
746   for (__l=0;__l<nrows;__l++) {\
747     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
748   }\
749 }
750 /*MC
751    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
752        inserted using a local number of the rows and columns
753 
754    Synopsis:
755    #include <petscmat.h>
756    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
757 
758    Not Collective
759 
760    Input Parameters:
761 +  row - the row
762 .  ncols - the number of columns in the matrix
763 -  cols - the columns indicated
764 
765    Output Parameters:
766 +  dnz - the array that will be passed to the matrix preallocation routines
767 -  ozn - the other array passed to the matrix preallocation routines
768 
769    Level: intermediate
770 
771    Notes:
772     See Users-Manual: ch_performance for more details.
773 
774    Do not malloc or free dnz and onz that is handled internally by these routines
775 
776    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
777 
778   Concepts: preallocation^Matrix
779 
780 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
781           MatPreallocateInitialize(), MatPreallocateSetLocal()
782 M*/
783 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
784 { PetscInt __i; \
785   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);\
786   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);\
787   for (__i=0; __i<nc; __i++) {\
788     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
789     else dnz[row - __rstart]++;\
790   }\
791 }
792 
793 /*MC
794    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
795        inserted using a local number of the rows and columns
796 
797    Synopsis:
798    #include <petscmat.h>
799    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
800 
801    Not Collective
802 
803    Input Parameters:
804 +  nrows - the number of rows indicated
805 .  rows - the indices of the rows
806 .  ncols - the number of columns in the matrix
807 .  cols - the columns indicated
808 .  dnz - the array that will be passed to the matrix preallocation routines
809 -  ozn - the other array passed to the matrix preallocation routines
810 
811    Level: intermediate
812 
813    Notes:
814     See Users-Manual: ch_performance for more details.
815 
816    Do not malloc or free dnz and onz that is handled internally by these routines
817 
818    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
819 
820   Concepts: preallocation^Matrix
821 
822 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
823           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
824 M*/
825 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
826 { PetscInt __i; \
827   for (__i=0; __i<nc; __i++) {\
828     if (cols[__i] >= __end) onz[row - __rstart]++; \
829     else if (cols[__i] >= row) dnz[row - __rstart]++;\
830   }\
831 }
832 
833 /*MC
834    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
835 
836    Synopsis:
837    #include <petscmat.h>
838    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
839 
840    Not Collective
841 
842    Input Parameters:
843 .  A - matrix
844 .  row - row where values exist (must be local to this process)
845 .  ncols - number of columns
846 .  cols - columns with nonzeros
847 .  dnz - the array that will be passed to the matrix preallocation routines
848 -  ozn - the other array passed to the matrix preallocation routines
849 
850    Level: intermediate
851 
852    Notes:
853     See Users-Manual: ch_performance for more details.
854 
855    Do not malloc or free dnz and onz that is handled internally by these routines
856 
857    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
858 
859   Concepts: preallocation^Matrix
860 
861 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
862           MatPreallocateSymmetricSetLocalBlock()
863 M*/
864 #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);}
865 
866 
867 /*MC
868    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
869        row in a matrix providing the data that one can use to correctly preallocate the matrix.
870 
871    Synopsis:
872    #include <petscmat.h>
873    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
874 
875    Collective on MPI_Comm
876 
877    Input Parameters:
878 +  dnz - the array that was be passed to the matrix preallocation routines
879 -  ozn - the other array passed to the matrix preallocation routines
880 
881    Level: intermediate
882 
883    Notes:
884     See Users-Manual: ch_performance for more details.
885 
886    Do not malloc or free dnz and onz that is handled internally by these routines
887 
888    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
889 
890   Concepts: preallocation^Matrix
891 
892 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
893           MatPreallocateSymmetricSetLocalBlock()
894 M*/
895 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
896 
897 /* Routines unique to particular data structures */
898 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
899 
900 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
901 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
902 
903 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
904 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
905 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
906 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
907 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
908 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
909 
910 #define MAT_SKIP_ALLOCATION -4
911 
912 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
913 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
914 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
915 
916 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
917 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
918 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
919 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
920 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
921 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
922 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
923 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
924 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
925 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
926 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
927 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
928 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
929 
930 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
931 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
932 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
933 
934 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
935 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
936 
937 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
938 
939 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
940 /*
941   These routines are not usually accessed directly, rather solving is
942   done through the KSP and PC interfaces.
943 */
944 
945 /*J
946     MatOrderingType - String with the name of a PETSc matrix ordering
947 
948    Level: beginner
949 
950 .seealso: MatGetOrdering()
951 J*/
952 typedef const char* MatOrderingType;
953 #define MATORDERINGNATURAL     "natural"
954 #define MATORDERINGND          "nd"
955 #define MATORDERING1WD         "1wd"
956 #define MATORDERINGRCM         "rcm"
957 #define MATORDERINGQMD         "qmd"
958 #define MATORDERINGROWLENGTH   "rowlength"
959 #define MATORDERINGWBM         "wbm"
960 #define MATORDERINGSPECTRAL    "spectral"
961 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
962 
963 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
964 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
965 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
966 PETSC_EXTERN PetscFunctionList MatOrderingList;
967 
968 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
969 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
970 
971 /*S
972     MatFactorShiftType - Numeric Shift.
973 
974    Level: beginner
975 
976 S*/
977 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
978 PETSC_EXTERN const char *const MatFactorShiftTypes[];
979 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
980 
981 /*S
982     MatFactorError - indicates what type of error in matrix factor
983 
984     Level: beginner
985 
986     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
987 
988 .seealso: MatGetFactor()
989 S*/
990 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
991 
992 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
993 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
994 
995 /*S
996    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
997 
998    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
999 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1000 
1001    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1002 
1003       You can use MatFactorInfoInitialize() to set default values.
1004 
1005    Level: developer
1006 
1007 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1008           MatFactorInfoInitialize()
1009 
1010 S*/
1011 typedef struct {
1012   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1013   PetscReal     usedt;
1014   PetscReal     dt;             /* drop tolerance */
1015   PetscReal     dtcol;          /* tolerance for pivoting */
1016   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1017   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1018   PetscReal     levels;         /* ICC/ILU(levels) */
1019   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1020                                    factorization may be faster if do not pivot */
1021   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1022   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1023   PetscReal     shiftamount;     /* how large the shift is */
1024 } MatFactorInfo;
1025 
1026 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1037 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1038 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1039 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1040 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1042 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1043 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1044 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1045 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1046 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1047 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1048 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1049 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1050 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1051 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1052 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1053 
1054 /*E
1055     MatSORType - What type of (S)SOR to perform
1056 
1057     Level: beginner
1058 
1059    May be bitwise ORd together
1060 
1061    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1062 
1063    MatSORType may be bitwise ORd together, so do not change the numbers
1064 
1065 .seealso: MatSOR()
1066 E*/
1067 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1068               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1069               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1070               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1071 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1072 
1073 /*
1074     These routines are for efficiently computing Jacobians via finite differences.
1075 */
1076 
1077 /*S
1078      MatColoring - Object for managing the coloring of matrices.
1079 
1080    Level: beginner
1081 
1082   Concepts: matrix, coloring
1083 
1084 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1085 S*/
1086 typedef struct _p_MatColoring* MatColoring;
1087 /*J
1088     MatColoringType - String with the name of a PETSc matrix coloring
1089 
1090    Level: beginner
1091 
1092 .seealso: MatColoringSetType(), MatColoring
1093 J*/
1094 
1095 typedef const  char*           MatColoringType;
1096 #define MATCOLORINGJP      "jp"
1097 #define MATCOLORINGPOWER   "power"
1098 #define MATCOLORINGNATURAL "natural"
1099 #define MATCOLORINGSL      "sl"
1100 #define MATCOLORINGLF      "lf"
1101 #define MATCOLORINGID      "id"
1102 #define MATCOLORINGGREEDY  "greedy"
1103 
1104 /*E
1105    MatColoringWeightType - Type of weight scheme
1106 
1107     Not Collective
1108 
1109 +   MAT_COLORING_RANDOM  - Random weights
1110 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1111 -   MAT_COLORING_LF      - Last-first weighting.
1112 
1113     Level: intermediate
1114 
1115    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1116 
1117 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1118 E*/
1119 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1120 
1121 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1122 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1123 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1124 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1125 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1126 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1127 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1128 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1129 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1130 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1131 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1132 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1133 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1134 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1135 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1136 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1137 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1138 
1139 /*S
1140      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1141         and coloring
1142 
1143    Level: beginner
1144 
1145   Concepts: coloring, sparse Jacobian, finite differences
1146 
1147 .seealso:  MatFDColoringCreate()
1148 S*/
1149 typedef struct _p_MatFDColoring* MatFDColoring;
1150 
1151 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1154 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1155 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1156 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1157 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1158 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1159 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1160 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1161 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1162 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1163 
1164 
1165 /*S
1166      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1167 
1168    Level: beginner
1169 
1170   Concepts: coloring, sparse matrix product
1171 
1172 .seealso:  MatTransposeColoringCreate()
1173 S*/
1174 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1175 
1176 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1177 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1178 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1179 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1180 
1181 /*
1182     These routines are for partitioning matrices: currently used only
1183   for adjacency matrix, MatCreateMPIAdj().
1184 */
1185 
1186 /*S
1187      MatPartitioning - Object for managing the partitioning of a matrix or graph
1188 
1189    Level: beginner
1190 
1191   Concepts: partitioning
1192 
1193 .seealso:  MatPartitioningCreate(), MatPartitioningType
1194 S*/
1195 typedef struct _p_MatPartitioning* MatPartitioning;
1196 
1197 /*J
1198     MatPartitioningType - String with the name of a PETSc matrix partitioning
1199 
1200    Level: beginner
1201 dm
1202 .seealso: MatPartitioningCreate(), MatPartitioning
1203 J*/
1204 typedef const char* MatPartitioningType;
1205 #define MATPARTITIONINGCURRENT  "current"
1206 #define MATPARTITIONINGAVERAGE   "average"
1207 #define MATPARTITIONINGSQUARE   "square"
1208 #define MATPARTITIONINGPARMETIS "parmetis"
1209 #define MATPARTITIONINGCHACO    "chaco"
1210 #define MATPARTITIONINGPARTY    "party"
1211 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1212 #define MATPARTITIONINGHIERARCH  "hierarch"
1213 
1214 
1215 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1216 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1217 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1218 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1219 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1221 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1222 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1223 
1224 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1225 
1226 
1227 
1228 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1229 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1230 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1231 
1232 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1235 
1236 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1237 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1238 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1239 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1240 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1241 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1242 
1243 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1244 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1245 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1246 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1247 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1248 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1249 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1250 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1251 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1252 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1253 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1254 
1255 #define MP_PARTY_OPT "opt"
1256 #define MP_PARTY_LIN "lin"
1257 #define MP_PARTY_SCA "sca"
1258 #define MP_PARTY_RAN "ran"
1259 #define MP_PARTY_GBF "gbf"
1260 #define MP_PARTY_GCF "gcf"
1261 #define MP_PARTY_BUB "bub"
1262 #define MP_PARTY_DEF "def"
1263 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1264 #define MP_PARTY_HELPFUL_SETS "hs"
1265 #define MP_PARTY_KERNIGHAN_LIN "kl"
1266 #define MP_PARTY_NONE "no"
1267 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1268 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1269 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1270 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1271 
1272 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1273 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1274 
1275 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1276 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1277 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1278 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1279 
1280 /*
1281  * hierarchical partitioning
1282  */
1283 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1284 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1286 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1287 
1288 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1289 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1290 
1291 /*
1292     If you add entries here you must also add them to petsc/finclude/petscmat.h
1293 */
1294 typedef enum { MATOP_SET_VALUES=0,
1295                MATOP_GET_ROW=1,
1296                MATOP_RESTORE_ROW=2,
1297                MATOP_MULT=3,
1298                MATOP_MULT_ADD=4,
1299                MATOP_MULT_TRANSPOSE=5,
1300                MATOP_MULT_TRANSPOSE_ADD=6,
1301                MATOP_SOLVE=7,
1302                MATOP_SOLVE_ADD=8,
1303                MATOP_SOLVE_TRANSPOSE=9,
1304                MATOP_SOLVE_TRANSPOSE_ADD=10,
1305                MATOP_LUFACTOR=11,
1306                MATOP_CHOLESKYFACTOR=12,
1307                MATOP_SOR=13,
1308                MATOP_TRANSPOSE=14,
1309                MATOP_GETINFO=15,
1310                MATOP_EQUAL=16,
1311                MATOP_GET_DIAGONAL=17,
1312                MATOP_DIAGONAL_SCALE=18,
1313                MATOP_NORM=19,
1314                MATOP_ASSEMBLY_BEGIN=20,
1315                MATOP_ASSEMBLY_END=21,
1316                MATOP_SET_OPTION=22,
1317                MATOP_ZERO_ENTRIES=23,
1318                MATOP_ZERO_ROWS=24,
1319                MATOP_LUFACTOR_SYMBOLIC=25,
1320                MATOP_LUFACTOR_NUMERIC=26,
1321                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1322                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1323                MATOP_SETUP_PREALLOCATION=29,
1324                MATOP_ILUFACTOR_SYMBOLIC=30,
1325                MATOP_ICCFACTOR_SYMBOLIC=31,
1326                MATOP_GET_DIAGONAL_BLOCK=32,
1327                /* MATOP_PLACEHOLDER_33=33, */
1328                MATOP_DUPLICATE=34,
1329                MATOP_FORWARD_SOLVE=35,
1330                MATOP_BACKWARD_SOLVE=36,
1331                MATOP_ILUFACTOR=37,
1332                MATOP_ICCFACTOR=38,
1333                MATOP_AXPY=39,
1334                MATOP_GET_SUBMATRICES=40,
1335                MATOP_INCREASE_OVERLAP=41,
1336                MATOP_GET_VALUES=42,
1337                MATOP_COPY=43,
1338                MATOP_GET_ROW_MAX=44,
1339                MATOP_SCALE=45,
1340                MATOP_SHIFT=46,
1341                MATOP_DIAGONAL_SET=47,
1342                MATOP_ZERO_ROWS_COLUMNS=48,
1343                MATOP_SET_RANDOM=49,
1344                MATOP_GET_ROW_IJ=50,
1345                MATOP_RESTORE_ROW_IJ=51,
1346                MATOP_GET_COLUMN_IJ=52,
1347                MATOP_RESTORE_COLUMN_IJ=53,
1348                MATOP_FDCOLORING_CREATE=54,
1349                MATOP_COLORING_PATCH=55,
1350                MATOP_SET_UNFACTORED=56,
1351                MATOP_PERMUTE=57,
1352                MATOP_SET_VALUES_BLOCKED=58,
1353                MATOP_GET_SUBMATRIX=59,
1354                MATOP_DESTROY=60,
1355                MATOP_VIEW=61,
1356                MATOP_CONVERT_FROM=62,
1357                MATOP_MATMAT_MULT=63,
1358                MATOP_MATMAT_MULT_SYMBOLIC=64,
1359                MATOP_MATMAT_MULT_NUMERIC=65,
1360                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1361                MATOP_SET_VALUES_LOCAL=67,
1362                MATOP_ZERO_ROWS_LOCAL=68,
1363                MATOP_GET_ROW_MAX_ABS=69,
1364                MATOP_GET_ROW_MIN_ABS=70,
1365                MATOP_CONVERT=71,
1366                MATOP_SET_COLORING=72,
1367                /* MATOP_PLACEHOLDER_73=73, */
1368                MATOP_SET_VALUES_ADIFOR=74,
1369                MATOP_FD_COLORING_APPLY=75,
1370                MATOP_SET_FROM_OPTIONS=76,
1371                MATOP_MULT_CONSTRAINED=77,
1372                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1373                MATOP_FIND_ZERO_DIAGONALS=79,
1374                MATOP_MULT_MULTIPLE=80,
1375                MATOP_SOLVE_MULTIPLE=81,
1376                MATOP_GET_INERTIA=82,
1377                MATOP_LOAD=83,
1378                MATOP_IS_SYMMETRIC=84,
1379                MATOP_IS_HERMITIAN=85,
1380                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1381                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1382                MATOP_GET_VECS=88,
1383                MATOP_MAT_MULT=89,
1384                MATOP_MAT_MULT_SYMBOLIC=90,
1385                MATOP_MAT_MULT_NUMERIC=91,
1386                MATOP_PTAP=92,
1387                MATOP_PTAP_SYMBOLIC=93,
1388                MATOP_PTAP_NUMERIC=94,
1389                MATOP_MAT_TRANSPOSE_MULT=95,
1390                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1391                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1392                /* MATOP_PLACEHOLDER_98=98, */
1393                /* MATOP_PLACEHOLDER_99=99, */
1394                /* MATOP_PLACEHOLDER_100=100, */
1395                /* MATOP_PLACEHOLDER_101=101, */
1396                MATOP_CONJUGATE=102,
1397                /* MATOP_PLACEHOLDER_103=103, */
1398                MATOP_SET_VALUES_ROW=104,
1399                MATOP_REAL_PART=105,
1400                MATOP_IMAGINARY_PART=106,
1401                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1402                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1403                MATOP_MAT_SOLVE=109,
1404                MATOP_GET_REDUNDANT_MATRIX=110,
1405                MATOP_GET_ROW_MIN=111,
1406                MATOP_GET_COLUMN_VECTOR=112,
1407                MATOP_MISSING_DIAGONAL=113,
1408                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1409                MATOP_CREATE=115,
1410                MATOP_GET_GHOSTS=116,
1411                MATOP_GET_LOCAL_SUB_MATRIX=117,
1412                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1413                MATOP_MULT_DIAGONAL_BLOCK=119,
1414                MATOP_HERMITIAN_TRANSPOSE=120,
1415                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1416                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1417                MATOP_GET_MULTI_PROC_BLOCK=123,
1418                MATOP_FIND_NONZERO_ROWS=124,
1419                MATOP_GET_COLUMN_NORMS=125,
1420                MATOP_INVERT_BLOCK_DIAGONAL=126,
1421                /* MATOP_PLACEHOLDER_127=127, */
1422                MATOP_GET_SUB_MATRICES_PARALLE=128,
1423                MATOP_SET_VALUES_BATCH=129,
1424                MATOP_TRANSPOSE_MAT_MULT=130,
1425                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1426                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1427                MATOP_TRANSPOSE_COLORING_CREAT=133,
1428                MATOP_TRANS_COLORING_APPLY_SPT=134,
1429                MATOP_TRANS_COLORING_APPLY_DEN=135,
1430                MATOP_RART=136,
1431                MATOP_RART_SYMBOLIC=137,
1432                MATOP_RART_NUMERIC=138,
1433                MATOP_SET_BLOCK_SIZES=139,
1434                MATOP_AYPX=140,
1435                MATOP_RESIDUAL=141,
1436                MATOP_FDCOLORING_SETUP=142,
1437                MATOP_MPICONCATENATESEQ=144
1438              } MatOperation;
1439 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1440 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1441 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1442 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1443 
1444 /*
1445    Codes for matrices stored on disk. By default they are
1446    stored in a universal format. By changing the format with
1447    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1448    be stored in a way natural for the matrix, for example dense matrices
1449    would be stored as dense. Matrices stored this way may only be
1450    read into matrices of the same type.
1451 */
1452 #define MATRIX_BINARY_FORMAT_DENSE -1
1453 
1454 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1455 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1456 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1457 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1458 
1459 /*S
1460      MatNullSpace - Object that removes a null space from a vector, i.e.
1461          orthogonalizes the vector to a subsapce
1462 
1463    Level: advanced
1464 
1465   Concepts: matrix; linear operator, null space
1466 
1467   Users manual sections:
1468 .   sec_singular
1469 
1470 .seealso:  MatNullSpaceCreate()
1471 S*/
1472 typedef struct _p_MatNullSpace* MatNullSpace;
1473 
1474 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1475 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1476 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1477 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1478 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1479 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1480 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1481 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1482 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1483 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1484 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1485 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1486 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1487 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1488 
1489 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1490 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1491 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1492 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1493 
1494 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1495 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1496 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1497 
1498 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1499 
1500 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1501 
1502 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1503 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1504 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1505 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1506 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1507 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1508 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1509 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1510 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1511 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1512 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1513 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1514 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1515 
1516 /*S
1517     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1518               Jacobian vector products
1519 
1520     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1521 
1522            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1523 
1524     Level: developer
1525 
1526 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1527 S*/
1528 typedef struct _p_MatMFFD* MatMFFD;
1529 
1530 /*J
1531     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1532 
1533    Level: beginner
1534 
1535 .seealso: MatMFFDSetType(), MatMFFDRegister()
1536 J*/
1537 typedef const char* MatMFFDType;
1538 #define MATMFFD_DS  "ds"
1539 #define MATMFFD_WP  "wp"
1540 
1541 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1542 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1543 
1544 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1545 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1546 
1547 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1548 
1549 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1550 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1551 
1552 /*
1553    PETSc interface to MUMPS
1554 */
1555 #ifdef PETSC_HAVE_MUMPS
1556 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1557 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1558 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1559 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1560 
1561 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1562 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1563 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1564 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1565 #endif
1566 
1567 /*
1568    PETSc interface to Mkl_Pardiso
1569 */
1570 #ifdef PETSC_HAVE_MKL_PARDISO
1571 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1572 #endif
1573 
1574 /*
1575    PETSc interface to Mkl_CPardiso
1576 */
1577 #ifdef PETSC_HAVE_MKL_CPARDISO
1578 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1579 #endif
1580 
1581 /*
1582    PETSc interface to SUPERLU
1583 */
1584 #ifdef PETSC_HAVE_SUPERLU
1585 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1586 #endif
1587 
1588 /*
1589    PETSc interface to SUPERLU_DIST
1590 */
1591 #ifdef PETSC_HAVE_SUPERLU_DIST
1592 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1593 #endif
1594 
1595 /*
1596    PETSc interface to STRUMPACK
1597 */
1598 #ifdef PETSC_HAVE_STRUMPACK
1599 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1600 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1601 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1602 #endif
1603 
1604 
1605 #ifdef PETSC_HAVE_CUDA
1606 /*E
1607     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1608     matrices.
1609 
1610     Not Collective
1611 
1612 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1613 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1614 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1615 
1616     Level: intermediate
1617 
1618    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1619 
1620 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1621 E*/
1622 
1623 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1624 
1625 /* these will be strings associated with enumerated type defined above */
1626 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1627 
1628 /*E
1629     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1630     matrices whose operation should use a particular storage format.
1631 
1632     Not Collective
1633 
1634 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1635 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1636 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1637 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1638 
1639     Level: intermediate
1640 
1641 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1642 E*/
1643 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1644 
1645 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1646 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1647 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1648 #endif
1649 
1650 #if defined(PETSC_HAVE_CUSP)
1651 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1652 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1653 
1654 /*E
1655     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1656     matrices.
1657 
1658     Not Collective
1659 
1660 +   MAT_CUSP_CSR - Compressed Sparse Row
1661 .   MAT_CUSP_DIA - Diagonal
1662 -   MAT_CUSP_ELL - Ellpack
1663 
1664     Level: intermediate
1665 
1666    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1667 
1668 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1669 E*/
1670 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1671 
1672 /* these will be strings associated with enumerated type defined above */
1673 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1674 
1675 /*E
1676     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1677     matrices whose operation should use a particular storage format.
1678 
1679     Not Collective
1680 
1681 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1682 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1683 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1684 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1685 
1686     Level: intermediate
1687 
1688    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1689 
1690 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1691 E*/
1692 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1693 
1694 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1695 #endif
1696 
1697 #if defined(PETSC_HAVE_VIENNACL)
1698 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1699 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1700 #endif
1701 
1702 /*
1703    PETSc interface to FFTW
1704 */
1705 #if defined(PETSC_HAVE_FFTW)
1706 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1707 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1708 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1709 #endif
1710 
1711 /*
1712    PETSc interface to ELEMENTAL
1713 */
1714 #if defined(PETSC_HAVE_ELEMENTAL)
1715 #if defined(PETSC_USE_COMPLEX)
1716 typedef El::Complex<PetscReal> PetscElemScalar;
1717 #else
1718 typedef PetscScalar PetscElemScalar;
1719 #endif
1720 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1721 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1722 #endif
1723 
1724 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1725 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1726 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1727 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1728 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1729 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1730 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1731 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1732 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1733 
1734 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1735 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1736 
1737 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1738 
1739 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1740 
1741 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1742 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1743 
1744 #endif
1745