xref: /petsc/include/petscmat.h (revision 419beca1004e80ebaf01ed86ca4fa04d30fb35e8)
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 MATSOLVERUMFPACK      "umfpack"
97 #define MATSOLVERCHOLMOD      "cholmod"
98 #define MATSOLVERKLU          "klu"
99 #define MATSOLVERCLIQUE       "clique"
100 #define MATSOLVERELEMENTAL    "elemental"
101 #define MATSOLVERESSL         "essl"
102 #define MATSOLVERLUSOL        "lusol"
103 #define MATSOLVERMUMPS        "mumps"
104 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
105 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
106 #define MATSOLVERPASTIX       "pastix"
107 #define MATSOLVERMATLAB       "matlab"
108 #define MATSOLVERPETSC        "petsc"
109 #define MATSOLVERBAS          "bas"
110 #define MATSOLVERCUSPARSE     "cusparse"
111 
112 /*E
113     MatFactorType - indicates what type of factorization is requested
114 
115     Level: beginner
116 
117    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
118 
119 .seealso: MatSolverPackage, MatGetFactor()
120 E*/
121 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
122 PETSC_EXTERN const char *const MatFactorTypes[];
123 
124 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
125 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
126 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
127 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
128 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
129 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
130 
131 /* Logging support */
132 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
133 PETSC_EXTERN PetscClassId MAT_CLASSID;
134 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
135 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
136 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
140 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
141 
142 /*E
143     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
144      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
145      that the input matrix is to be replaced with the converted matrix.
146 
147     Level: beginner
148 
149    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
150 
151 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
152 E*/
153 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
154 
155 /*E
156     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
157      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
158 
159     Level: beginner
160 
161 .seealso: MatGetSeqNonzerostructure()
162 E*/
163 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
164 
165 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
166 
167 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
168 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
169 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
170 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
171 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
172 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
173 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
174 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
175 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
176 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
177 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
178 
179 PETSC_EXTERN PetscFunctionList MatList;
180 PETSC_EXTERN PetscFunctionList MatColoringList;
181 PETSC_EXTERN PetscFunctionList MatPartitioningList;
182 PETSC_EXTERN PetscFunctionList MatCoarsenList;
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 
994 /*S
995    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
996 
997    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
998 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
999 
1000    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1001 
1002       You can use MatFactorInfoInitialize() to set default values.
1003 
1004    Level: developer
1005 
1006 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1007           MatFactorInfoInitialize()
1008 
1009 S*/
1010 typedef struct {
1011   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1012   PetscReal     usedt;
1013   PetscReal     dt;             /* drop tolerance */
1014   PetscReal     dtcol;          /* tolerance for pivoting */
1015   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1016   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1017   PetscReal     levels;         /* ICC/ILU(levels) */
1018   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1019                                    factorization may be faster if do not pivot */
1020   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1021   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1022   PetscReal     shiftamount;     /* how large the shift is */
1023 } MatFactorInfo;
1024 
1025 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1026 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1037 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1038 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1039 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1040 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1042 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1043 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1044 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1045 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1046 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1047 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1048 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1049 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1050 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1051 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1052 
1053 /*E
1054     MatSORType - What type of (S)SOR to perform
1055 
1056     Level: beginner
1057 
1058    May be bitwise ORd together
1059 
1060    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1061 
1062    MatSORType may be bitwise ORd together, so do not change the numbers
1063 
1064 .seealso: MatSOR()
1065 E*/
1066 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1067               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1068               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1069               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1070 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1071 
1072 /*
1073     These routines are for efficiently computing Jacobians via finite differences.
1074 */
1075 
1076 /*S
1077      MatColoring - Object for managing the coloring of matrices.
1078 
1079    Level: beginner
1080 
1081   Concepts: matrix, coloring
1082 
1083 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1084 S*/
1085 typedef struct _p_MatColoring* MatColoring;
1086 /*J
1087     MatColoringType - String with the name of a PETSc matrix coloring
1088 
1089    Level: beginner
1090 
1091 .seealso: MatColoringSetType(), MatColoring
1092 J*/
1093 
1094 typedef const  char*           MatColoringType;
1095 #define MATCOLORINGJP      "jp"
1096 #define MATCOLORINGPOWER   "power"
1097 #define MATCOLORINGNATURAL "natural"
1098 #define MATCOLORINGSL      "sl"
1099 #define MATCOLORINGLF      "lf"
1100 #define MATCOLORINGID      "id"
1101 #define MATCOLORINGGREEDY  "greedy"
1102 
1103 /*E
1104    MatColoringWeightType - Type of weight scheme
1105 
1106     Not Collective
1107 
1108 +   MAT_COLORING_RANDOM  - Random weights
1109 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1110 -   MAT_COLORING_LF      - Last-first weighting.
1111 
1112     Level: intermediate
1113 
1114    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1115 
1116 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1117 E*/
1118 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1119 
1120 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1121 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1122 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1123 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1124 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1125 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1126 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1127 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1128 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1129 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1130 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1131 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1132 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1133 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1134 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1135 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1136 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1137 
1138 /*S
1139      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1140         and coloring
1141 
1142    Level: beginner
1143 
1144   Concepts: coloring, sparse Jacobian, finite differences
1145 
1146 .seealso:  MatFDColoringCreate()
1147 S*/
1148 typedef struct _p_MatFDColoring* MatFDColoring;
1149 
1150 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1154 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1155 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1156 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1157 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1158 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1159 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1160 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1161 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1162 
1163 
1164 /*S
1165      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1166 
1167    Level: beginner
1168 
1169   Concepts: coloring, sparse matrix product
1170 
1171 .seealso:  MatTransposeColoringCreate()
1172 S*/
1173 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1174 
1175 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1176 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1177 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1178 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1179 
1180 /*
1181     These routines are for partitioning matrices: currently used only
1182   for adjacency matrix, MatCreateMPIAdj().
1183 */
1184 
1185 /*S
1186      MatPartitioning - Object for managing the partitioning of a matrix or graph
1187 
1188    Level: beginner
1189 
1190   Concepts: partitioning
1191 
1192 .seealso:  MatPartitioningCreate(), MatPartitioningType
1193 S*/
1194 typedef struct _p_MatPartitioning* MatPartitioning;
1195 
1196 /*J
1197     MatPartitioningType - String with the name of a PETSc matrix partitioning
1198 
1199    Level: beginner
1200 dm
1201 .seealso: MatPartitioningCreate(), MatPartitioning
1202 J*/
1203 typedef const char* MatPartitioningType;
1204 #define MATPARTITIONINGCURRENT  "current"
1205 #define MATPARTITIONINGAVERAGE   "average"
1206 #define MATPARTITIONINGSQUARE   "square"
1207 #define MATPARTITIONINGPARMETIS "parmetis"
1208 #define MATPARTITIONINGCHACO    "chaco"
1209 #define MATPARTITIONINGPARTY    "party"
1210 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1211 #define MATPARTITIONINGHIERARCH  "hierarch"
1212 
1213 
1214 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1215 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1216 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1217 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1218 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1219 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1221 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1222 
1223 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1224 
1225 
1226 
1227 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1228 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1229 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1230 
1231 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1234 
1235 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1236 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1237 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1238 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1239 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1240 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1241 
1242 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1243 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1244 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1245 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1246 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1247 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1248 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1249 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1250 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1251 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1252 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1253 
1254 #define MP_PARTY_OPT "opt"
1255 #define MP_PARTY_LIN "lin"
1256 #define MP_PARTY_SCA "sca"
1257 #define MP_PARTY_RAN "ran"
1258 #define MP_PARTY_GBF "gbf"
1259 #define MP_PARTY_GCF "gcf"
1260 #define MP_PARTY_BUB "bub"
1261 #define MP_PARTY_DEF "def"
1262 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1263 #define MP_PARTY_HELPFUL_SETS "hs"
1264 #define MP_PARTY_KERNIGHAN_LIN "kl"
1265 #define MP_PARTY_NONE "no"
1266 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1267 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1268 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1269 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1270 
1271 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1272 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1273 
1274 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1275 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1276 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1277 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1278 
1279 /*
1280  * hierarchical partitioning
1281  */
1282 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1283 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1284 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1286 
1287 /*
1288     These routines are for coarsening matrices:
1289 */
1290 
1291 /*S
1292      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1293 
1294    Level: beginner
1295 
1296   Concepts: coarsen
1297 
1298 .seealso:  MatCoarsenCreate), MatCoarsenType
1299 S*/
1300 typedef struct _p_MatCoarsen* MatCoarsen;
1301 
1302 /*J
1303     MatCoarsenType - String with the name of a PETSc matrix coarsen
1304 
1305    Level: beginner
1306 
1307 .seealso: MatCoarsenCreate(), MatCoarsen
1308 J*/
1309 typedef const char* MatCoarsenType;
1310 #define MATCOARSENMIS  "mis"
1311 #define MATCOARSENHEM  "hem"
1312 
1313 /* linked list for aggregates */
1314 typedef struct _PetscCDIntNd{
1315   struct _PetscCDIntNd *next;
1316   PetscInt             gid;
1317 }PetscCDIntNd;
1318 
1319 /* only used by node pool */
1320 typedef struct _PetscCDArrNd{
1321   struct _PetscCDArrNd *next;
1322   struct _PetscCDIntNd *array;
1323 }PetscCDArrNd;
1324 
1325 typedef struct _PetscCoarsenData{
1326   PetscCDArrNd pool_list;  /* node pool */
1327   PetscCDIntNd *new_node;
1328   PetscInt     new_left;
1329   PetscInt     chk_sz;
1330   PetscCDIntNd *extra_nodes;
1331   PetscCDIntNd **array;  /* Array of lists */
1332   PetscInt     size;
1333   Mat          mat;  /* cache a Mat for communication data */
1334 }PetscCoarsenData;
1335 
1336 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1337 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1338 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1339 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1340 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1341 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1342 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1343 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1344 
1345 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1346 
1347 
1348 
1349 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1350 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1351 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1352 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
1353 
1354 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1355 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1356 
1357 /*
1358     If you add entries here you must also add them to petsc/finclude/petscmat.h
1359 */
1360 typedef enum { MATOP_SET_VALUES=0,
1361                MATOP_GET_ROW=1,
1362                MATOP_RESTORE_ROW=2,
1363                MATOP_MULT=3,
1364                MATOP_MULT_ADD=4,
1365                MATOP_MULT_TRANSPOSE=5,
1366                MATOP_MULT_TRANSPOSE_ADD=6,
1367                MATOP_SOLVE=7,
1368                MATOP_SOLVE_ADD=8,
1369                MATOP_SOLVE_TRANSPOSE=9,
1370                MATOP_SOLVE_TRANSPOSE_ADD=10,
1371                MATOP_LUFACTOR=11,
1372                MATOP_CHOLESKYFACTOR=12,
1373                MATOP_SOR=13,
1374                MATOP_TRANSPOSE=14,
1375                MATOP_GETINFO=15,
1376                MATOP_EQUAL=16,
1377                MATOP_GET_DIAGONAL=17,
1378                MATOP_DIAGONAL_SCALE=18,
1379                MATOP_NORM=19,
1380                MATOP_ASSEMBLY_BEGIN=20,
1381                MATOP_ASSEMBLY_END=21,
1382                MATOP_SET_OPTION=22,
1383                MATOP_ZERO_ENTRIES=23,
1384                MATOP_ZERO_ROWS=24,
1385                MATOP_LUFACTOR_SYMBOLIC=25,
1386                MATOP_LUFACTOR_NUMERIC=26,
1387                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1388                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1389                MATOP_SETUP_PREALLOCATION=29,
1390                MATOP_ILUFACTOR_SYMBOLIC=30,
1391                MATOP_ICCFACTOR_SYMBOLIC=31,
1392                /* MATOP_PLACEHOLDER_32=32, */
1393                /* MATOP_PLACEHOLDER_33=33, */
1394                MATOP_DUPLICATE=34,
1395                MATOP_FORWARD_SOLVE=35,
1396                MATOP_BACKWARD_SOLVE=36,
1397                MATOP_ILUFACTOR=37,
1398                MATOP_ICCFACTOR=38,
1399                MATOP_AXPY=39,
1400                MATOP_GET_SUBMATRICES=40,
1401                MATOP_INCREASE_OVERLAP=41,
1402                MATOP_GET_VALUES=42,
1403                MATOP_COPY=43,
1404                MATOP_GET_ROW_MAX=44,
1405                MATOP_SCALE=45,
1406                MATOP_SHIFT=46,
1407                MATOP_DIAGONAL_SET=47,
1408                MATOP_ZERO_ROWS_COLUMNS=48,
1409                MATOP_SET_RANDOM=49,
1410                MATOP_GET_ROW_IJ=50,
1411                MATOP_RESTORE_ROW_IJ=51,
1412                MATOP_GET_COLUMN_IJ=52,
1413                MATOP_RESTORE_COLUMN_IJ=53,
1414                MATOP_FDCOLORING_CREATE=54,
1415                MATOP_COLORING_PATCH=55,
1416                MATOP_SET_UNFACTORED=56,
1417                MATOP_PERMUTE=57,
1418                MATOP_SET_VALUES_BLOCKED=58,
1419                MATOP_GET_SUBMATRIX=59,
1420                MATOP_DESTROY=60,
1421                MATOP_VIEW=61,
1422                MATOP_CONVERT_FROM=62,
1423                MATOP_MATMAT_MULT=63,
1424                MATOP_MATMAT_MULT_SYMBOLIC=64,
1425                MATOP_MATMAT_MULT_NUMERIC=65,
1426                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1427                MATOP_SET_VALUES_LOCAL=67,
1428                MATOP_ZERO_ROWS_LOCAL=68,
1429                MATOP_GET_ROW_MAX_ABS=69,
1430                MATOP_GET_ROW_MIN_ABS=70,
1431                MATOP_CONVERT=71,
1432                MATOP_SET_COLORING=72,
1433                /* MATOP_PLACEHOLDER_73=73, */
1434                MATOP_SET_VALUES_ADIFOR=74,
1435                MATOP_FD_COLORING_APPLY=75,
1436                MATOP_SET_FROM_OPTIONS=76,
1437                MATOP_MULT_CONSTRAINED=77,
1438                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1439                MATOP_FIND_ZERO_DIAGONALS=79,
1440                MATOP_MULT_MULTIPLE=80,
1441                MATOP_SOLVE_MULTIPLE=81,
1442                MATOP_GET_INERTIA=82,
1443                MATOP_LOAD=83,
1444                MATOP_IS_SYMMETRIC=84,
1445                MATOP_IS_HERMITIAN=85,
1446                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1447                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1448                MATOP_GET_VECS=88,
1449                MATOP_MAT_MULT=89,
1450                MATOP_MAT_MULT_SYMBOLIC=90,
1451                MATOP_MAT_MULT_NUMERIC=91,
1452                MATOP_PTAP=92,
1453                MATOP_PTAP_SYMBOLIC=93,
1454                MATOP_PTAP_NUMERIC=94,
1455                MATOP_MAT_TRANSPOSE_MULT=95,
1456                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1457                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1458                /* MATOP_PLACEHOLDER_98=98, */
1459                /* MATOP_PLACEHOLDER_99=99, */
1460                /* MATOP_PLACEHOLDER_100=100, */
1461                /* MATOP_PLACEHOLDER_101=101, */
1462                MATOP_CONJUGATE=102,
1463                /* MATOP_PLACEHOLDER_103=103, */
1464                MATOP_SET_VALUES_ROW=104,
1465                MATOP_REAL_PART=105,
1466                MATOP_IMAGINARY_PART=106,
1467                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1468                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1469                MATOP_MAT_SOLVE=109,
1470                MATOP_GET_REDUNDANT_MATRIX=110,
1471                MATOP_GET_ROW_MIN=111,
1472                MATOP_GET_COLUMN_VECTOR=112,
1473                MATOP_MISSING_DIAGONAL=113,
1474                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1475                MATOP_CREATE=115,
1476                MATOP_GET_GHOSTS=116,
1477                MATOP_GET_LOCAL_SUB_MATRIX=117,
1478                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1479                MATOP_MULT_DIAGONAL_BLOCK=119,
1480                MATOP_HERMITIAN_TRANSPOSE=120,
1481                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1482                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1483                MATOP_GET_MULTI_PROC_BLOCK=123,
1484                MATOP_FIND_NONZERO_ROWS=124,
1485                MATOP_GET_COLUMN_NORMS=125,
1486                MATOP_INVERT_BLOCK_DIAGONAL=126,
1487                /* MATOP_PLACEHOLDER_127=127, */
1488                MATOP_GET_SUB_MATRICES_PARALLE=128,
1489                MATOP_SET_VALUES_BATCH=129,
1490                MATOP_TRANSPOSE_MAT_MULT=130,
1491                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1492                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1493                MATOP_TRANSPOSE_COLORING_CREAT=133,
1494                MATOP_TRANS_COLORING_APPLY_SPT=134,
1495                MATOP_TRANS_COLORING_APPLY_DEN=135,
1496                MATOP_RART=136,
1497                MATOP_RART_SYMBOLIC=137,
1498                MATOP_RART_NUMERIC=138,
1499                MATOP_SET_BLOCK_SIZES=139,
1500                MATOP_AYPX=140,
1501                MATOP_RESIDUAL=141,
1502                MATOP_FDCOLORING_SETUP=142,
1503                MATOP_MPICONCATENATESEQ=144
1504              } MatOperation;
1505 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1506 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1507 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1508 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1509 
1510 /*
1511    Codes for matrices stored on disk. By default they are
1512    stored in a universal format. By changing the format with
1513    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1514    be stored in a way natural for the matrix, for example dense matrices
1515    would be stored as dense. Matrices stored this way may only be
1516    read into matrices of the same type.
1517 */
1518 #define MATRIX_BINARY_FORMAT_DENSE -1
1519 
1520 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1521 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1522 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1523 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1524 
1525 /*S
1526      MatNullSpace - Object that removes a null space from a vector, i.e.
1527          orthogonalizes the vector to a subsapce
1528 
1529    Level: advanced
1530 
1531   Concepts: matrix; linear operator, null space
1532 
1533   Users manual sections:
1534 .   sec_singular
1535 
1536 .seealso:  MatNullSpaceCreate()
1537 S*/
1538 typedef struct _p_MatNullSpace* MatNullSpace;
1539 
1540 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1541 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1542 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1543 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1544 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1545 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1546 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1547 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1548 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1549 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1550 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1551 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1552 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1553 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1554 
1555 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1556 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1557 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1558 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1559 
1560 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1561 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1562 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1563 
1564 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1565 
1566 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1567 
1568 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1569 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1570 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1571 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1572 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1573 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1574 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1575 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1576 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1577 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1578 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1579 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1580 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1581 
1582 /*S
1583     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1584               Jacobian vector products
1585 
1586     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1587 
1588            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1589 
1590     Level: developer
1591 
1592 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1593 S*/
1594 typedef struct _p_MatMFFD* MatMFFD;
1595 
1596 /*J
1597     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1598 
1599    Level: beginner
1600 
1601 .seealso: MatMFFDSetType(), MatMFFDRegister()
1602 J*/
1603 typedef const char* MatMFFDType;
1604 #define MATMFFD_DS  "ds"
1605 #define MATMFFD_WP  "wp"
1606 
1607 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1608 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1609 
1610 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1611 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1612 
1613 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1614 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1615 
1616 /*
1617    PETSc interface to MUMPS
1618 */
1619 #ifdef PETSC_HAVE_MUMPS
1620 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1621 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1622 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1623 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1624 
1625 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1626 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1627 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1628 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1629 #endif
1630 
1631 /*
1632    PETSc interface to Mkl_Pardiso
1633 */
1634 #ifdef PETSC_HAVE_MKL_PARDISO
1635 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1636 #endif
1637 
1638 /*
1639    PETSc interface to Mkl_CPardiso
1640 */
1641 #ifdef PETSC_HAVE_MKL_CPARDISO
1642 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1643 #endif
1644 
1645 /*
1646    PETSc interface to SUPERLU
1647 */
1648 #ifdef PETSC_HAVE_SUPERLU
1649 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1650 #endif
1651 
1652 /*
1653    PETSc interface to SUPERLU_DIST
1654 */
1655 #ifdef PETSC_HAVE_SUPERLU_DIST
1656 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1657 #endif
1658 
1659 #ifdef PETSC_HAVE_CUDA
1660 /*E
1661     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1662     matrices.
1663 
1664     Not Collective
1665 
1666 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1667 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1668 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1669 
1670     Level: intermediate
1671 
1672    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1673 
1674 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1675 E*/
1676 
1677 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1678 
1679 /* these will be strings associated with enumerated type defined above */
1680 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1681 
1682 /*E
1683     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1684     matrices whose operation should use a particular storage format.
1685 
1686     Not Collective
1687 
1688 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1689 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1690 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1691 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1692 
1693     Level: intermediate
1694 
1695 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1696 E*/
1697 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1698 
1699 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1700 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1701 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1702 #endif
1703 
1704 #if defined(PETSC_HAVE_CUSP)
1705 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1706 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1707 
1708 /*E
1709     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1710     matrices.
1711 
1712     Not Collective
1713 
1714 +   MAT_CUSP_CSR - Compressed Sparse Row
1715 .   MAT_CUSP_DIA - Diagonal
1716 -   MAT_CUSP_ELL - Ellpack
1717 
1718     Level: intermediate
1719 
1720    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1721 
1722 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1723 E*/
1724 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1725 
1726 /* these will be strings associated with enumerated type defined above */
1727 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1728 
1729 /*E
1730     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1731     matrices whose operation should use a particular storage format.
1732 
1733     Not Collective
1734 
1735 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1736 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1737 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1738 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1739 
1740     Level: intermediate
1741 
1742    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1743 
1744 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1745 E*/
1746 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1747 
1748 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1749 #endif
1750 
1751 #if defined(PETSC_HAVE_VIENNACL)
1752 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1753 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1754 #endif
1755 
1756 /*
1757    PETSc interface to FFTW
1758 */
1759 #if defined(PETSC_HAVE_FFTW)
1760 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1761 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1762 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1763 #endif
1764 
1765 /*
1766    PETSc interface to ELEMENTAL
1767 */
1768 #if defined(PETSC_HAVE_ELEMENTAL)
1769 #if defined(PETSC_USE_COMPLEX)
1770 typedef El::Complex<PetscReal> PetscElemScalar;
1771 #else
1772 typedef PetscScalar PetscElemScalar;
1773 #endif
1774 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1775 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1776 #endif
1777 
1778 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1779 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1780 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1781 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1782 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1783 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1784 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1785 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1786 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1787 
1788 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1789 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1790 
1791 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1792 
1793 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1794 
1795 #endif
1796