xref: /petsc/include/petscmat.h (revision 1b5aa96474b99f5c255b3b83465f0fe5cbbf6ade)
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 MATSEQAIJPTHREAD   "seqaijpthread"
36 #define MATAIJPTHREAD      "aijpthread"
37 #define MATMPIAIJ          "mpiaij"
38 #define MATAIJCRL          "aijcrl"
39 #define MATSEQAIJCRL       "seqaijcrl"
40 #define MATMPIAIJCRL       "mpiaijcrl"
41 #define MATAIJCUSP         "aijcusp"
42 #define MATSEQAIJCUSP      "seqaijcusp"
43 #define MATMPIAIJCUSP      "mpiaijcusp"
44 #define MATAIJCUSPARSE     "aijcusparse"
45 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
46 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
47 #define MATAIJVIENNACL     "aijviennacl"
48 #define MATSEQAIJVIENNACL  "seqaijviennacl"
49 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
50 #define MATAIJPERM         "aijperm"
51 #define MATSEQAIJPERM      "seqaijperm"
52 #define MATMPIAIJPERM      "mpiaijperm"
53 #define MATSHELL           "shell"
54 #define MATDENSE           "dense"
55 #define MATSEQDENSE        "seqdense"
56 #define MATMPIDENSE        "mpidense"
57 #define MATELEMENTAL       "elemental"
58 #define MATBAIJ            "baij"
59 #define MATSEQBAIJ         "seqbaij"
60 #define MATMPIBAIJ         "mpibaij"
61 #define MATMPIADJ          "mpiadj"
62 #define MATSBAIJ           "sbaij"
63 #define MATSEQSBAIJ        "seqsbaij"
64 #define MATMPISBAIJ        "mpisbaij"
65 #define MATSEQBSTRM        "seqbstrm"
66 #define MATMPIBSTRM        "mpibstrm"
67 #define MATBSTRM           "bstrm"
68 #define MATSEQSBSTRM       "seqsbstrm"
69 #define MATMPISBSTRM       "mpisbstrm"
70 #define MATSBSTRM          "sbstrm"
71 #define MATDAAD            "daad"
72 #define MATMFFD            "mffd"
73 #define MATNORMAL          "normal"
74 #define MATLRC             "lrc"
75 #define MATSCATTER         "scatter"
76 #define MATBLOCKMAT        "blockmat"
77 #define MATCOMPOSITE       "composite"
78 #define MATFFT             "fft"
79 #define MATFFTW            "fftw"
80 #define MATSEQCUFFT        "seqcufft"
81 #define MATTRANSPOSEMAT    "transpose"
82 #define MATSCHURCOMPLEMENT "schurcomplement"
83 #define MATPYTHON          "python"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 
90 /*J
91     MatSolverPackage - String with the name of a PETSc matrix solver type.
92 
93     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
94 
95    Level: beginner
96 
97 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
98 J*/
99 #define MatSolverPackage char*
100 #define MATSOLVERSUPERLU      "superlu"
101 #define MATSOLVERSUPERLU_DIST "superlu_dist"
102 #define MATSOLVERUMFPACK      "umfpack"
103 #define MATSOLVERCHOLMOD      "cholmod"
104 #define MATSOLVERESSL         "essl"
105 #define MATSOLVERLUSOL        "lusol"
106 #define MATSOLVERMUMPS        "mumps"
107 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
108 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
109 #define MATSOLVERPASTIX       "pastix"
110 #define MATSOLVERMATLAB       "matlab"
111 #define MATSOLVERPETSC        "petsc"
112 #define MATSOLVERBAS          "bas"
113 #define MATSOLVERCUSPARSE     "cusparse"
114 #define MATSOLVERBSTRM        "bstrm"
115 #define MATSOLVERSBSTRM       "sbstrm"
116 #define MATSOLVERELEMENTAL    "elemental"
117 #define MATSOLVERCLIQUE       "clique"
118 #define MATSOLVERKLU          "klu"
119 
120 /*E
121     MatFactorType - indicates what type of factorization is requested
122 
123     Level: beginner
124 
125    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
126 
127 .seealso: MatSolverPackage, MatGetFactor()
128 E*/
129 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
130 PETSC_EXTERN const char *const MatFactorTypes[];
131 
132 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
133 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
134 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
135 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
136 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
137 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
138 
139 /* Logging support */
140 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
141 PETSC_EXTERN PetscClassId MAT_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
147 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
148 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
149 
150 /*E
151     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
152      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
153      that the input matrix is to be replaced with the converted matrix.
154 
155     Level: beginner
156 
157    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
158 
159 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
160 E*/
161 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
162 
163 /*E
164     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
165      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
166 
167     Level: beginner
168 
169 .seealso: MatGetSeqNonzerostructure()
170 E*/
171 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
172 
173 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
174 
175 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
176 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
177 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
178 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
179 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
180 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
181 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
182 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
184 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
185 PETSC_EXTERN PetscErrorCode MatSetErrorIfFPE(Mat,PetscBool);
186 
187 PETSC_EXTERN PetscFunctionList MatList;
188 PETSC_EXTERN PetscFunctionList MatColoringList;
189 PETSC_EXTERN PetscFunctionList MatPartitioningList;
190 PETSC_EXTERN PetscFunctionList MatCoarsenList;
191 
192 /*E
193     MatStructure - Indicates if two matrices have the same nonzero structure
194 
195     Level: beginner
196 
197    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
198 
199 .seealso: MatCopy(), MatAXPY()
200 E*/
201 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
202 
203 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
208 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
209 
210 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
213 
214 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
215 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
216 
217 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
219 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
220 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
221 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
222 
223 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 
230 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
234 
235 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
236 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
237 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
238 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
239 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
240 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
241 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
242 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
243 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
244 
245 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
247 
248 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
249 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
250 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
251 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
252 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
253 
254 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
255 
256 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
257 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
258 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
259 
260 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
261 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
262 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
265 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
266 
267 /* ------------------------------------------------------------*/
268 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
269 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
274 
275 /*S
276      MatStencil - Data structure (C struct) for storing information about a single row or
277         column of a matrix as indexed on an associated grid.
278 
279    Fortran usage is different, see MatSetValuesStencil() for details.
280 
281    Level: beginner
282 
283   Concepts: matrix; linear operator
284 
285 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
286 S*/
287 typedef struct {
288   PetscInt k,j,i,c;
289 } MatStencil;
290 
291 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
292 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
293 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
294 
295 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
296 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
297 
298 /*E
299     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
300      to continue to add values to it
301 
302     Level: beginner
303 
304 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
305 E*/
306 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
307 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
308 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
309 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
310 
311 
312 
313 /*E
314     MatOption - Options that may be set for a matrix and its behavior or storage
315 
316     Level: beginner
317 
318    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
319 
320    Developer Notes: Entries that are negative need not be called collectively by all processes.
321 
322 .seealso: MatSetOption()
323 E*/
324 typedef enum {MAT_OPTION_MIN = -5,
325               MAT_NEW_NONZERO_LOCATION_ERR = -4,
326               MAT_UNUSED_NONZERO_LOCATION_ERR = -3,
327               MAT_NEW_NONZERO_ALLOCATION_ERR = -2,
328               MAT_ROW_ORIENTED = -1,
329               MAT_SYMMETRIC = 1,
330               MAT_STRUCTURALLY_SYMMETRIC = 2,
331               MAT_NEW_DIAGONALS = 3,
332               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
333               MAT_USE_HASH_TABLE = 5,
334               MAT_KEEP_NONZERO_PATTERN = 6,
335               MAT_IGNORE_ZERO_ENTRIES = 7,
336               MAT_USE_INODES = 8,
337               MAT_HERMITIAN = 9,
338               MAT_SYMMETRY_ETERNAL = 10,
339               MAT_DUMMY = 11,
340               MAT_IGNORE_LOWER_TRIANGULAR = 12,
341               MAT_ERROR_LOWER_TRIANGULAR = 13,
342               MAT_GETROW_UPPERTRIANGULAR = 14,
343               MAT_SPD = 15,
344               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
345               MAT_NO_OFF_PROC_ENTRIES = 17,
346               MAT_NEW_NONZERO_LOCATIONS = 18,
347               MAT_OPTION_MAX = 19} MatOption;
348 
349 PETSC_EXTERN const char *MatOptions[];
350 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
351 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
352 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
353 
354 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
355 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
356 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
357 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
358 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
359 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
360 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
361 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
362 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
366 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
367 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
369 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
370 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
371 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
372 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
373 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
374 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
375 
376 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
382 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
383 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
388 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
389 
390 /*E
391     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
392   its numerical values copied over or just its nonzero structure.
393 
394     Level: beginner
395 
396    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
397 
398 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
399 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
400 $                               have several matrices with the same nonzero pattern.
401 
402 .seealso: MatDuplicate()
403 E*/
404 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
405 
406 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
407 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
408 
409 
410 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
411 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
412 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
418 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
419 
420 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
421 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
424 
425 /*S
426      MatInfo - Context of matrix information, used with MatGetInfo()
427 
428    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
429 
430    Level: intermediate
431 
432   Concepts: matrix^nonzero information
433 
434 .seealso:  MatGetInfo(), MatInfoType
435 S*/
436 typedef struct {
437   PetscLogDouble block_size;                         /* block size */
438   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
439   PetscLogDouble memory;                             /* memory allocated */
440   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
441   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
442   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
443   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
444 } MatInfo;
445 
446 /*E
447     MatInfoType - Indicates if you want information about the local part of the matrix,
448      the entire parallel matrix or the maximum over all the local parts.
449 
450     Level: beginner
451 
452    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
453 
454 .seealso: MatGetInfo(), MatInfo
455 E*/
456 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
457 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
458 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
459 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
460 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
464 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
465 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
466 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
467 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
468 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
469 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
470 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
471 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
472 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
473 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
474 
475 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
476 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
477 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
478 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
479 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
480 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
481 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
482 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
483 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
484 
485 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
486 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
487 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
488 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
489 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
490 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
491 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
492 
493 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
494 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
495 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
496 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
497 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
498 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
499 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
500 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
501 
502 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
503 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
504 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
505 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
506 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
507 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
508 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
509 
510 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
511 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
512 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
513 
514 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
517 
518 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
521 
522 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
525 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
528 
529 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
532 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
534 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
535 
536 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
537 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
538 
539 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
540 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
541 
542 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
543 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
544 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
550 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
551 
552 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
553 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
554 
555 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
559 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
560 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
561 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
562 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
563 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
564 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
565 
566 /*MC
567    MatSetValue - Set a single entry into a matrix.
568 
569    Not collective
570 
571    Synopsis:
572      #include <petscmat.h>
573      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
574 
575    Input Parameters:
576 +  m - the matrix
577 .  row - the row location of the entry
578 .  col - the column location of the entry
579 .  value - the value to insert
580 -  mode - either INSERT_VALUES or ADD_VALUES
581 
582    Notes:
583    For efficiency one should use MatSetValues() and set several or many
584    values simultaneously if possible.
585 
586    Level: beginner
587 
588 .seealso: MatSetValues(), MatSetValueLocal()
589 M*/
590 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
591 
592 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
593 
594 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
595 
596 /*MC
597    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
598        row in a matrix providing the data that one can use to correctly preallocate the matrix.
599 
600    Synopsis:
601    #include <petscmat.h>
602    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
603 
604    Collective on MPI_Comm
605 
606    Input Parameters:
607 +  comm - the communicator that will share the eventually allocated matrix
608 .  nrows - the number of LOCAL rows in the matrix
609 -  ncols - the number of LOCAL columns in the matrix
610 
611    Output Parameters:
612 +  dnz - the array that will be passed to the matrix preallocation routines
613 -  ozn - the other array passed to the matrix preallocation routines
614 
615    Level: intermediate
616 
617    Notes:
618     See Users-Manual: ch_performance for more details.
619 
620    Do not malloc or free dnz and onz, that is handled internally by these routines
621 
622    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
623 
624    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
625 
626   Concepts: preallocation^Matrix
627 
628 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
629           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
630 M*/
631 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
632 { \
633   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
634   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
635   __start = 0; __end = __start;                                         \
636   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
637   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
638 
639 /*MC
640    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
641        inserted using a local number of the rows and columns
642 
643    Synopsis:
644    #include <petscmat.h>
645    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
646 
647    Not Collective
648 
649    Input Parameters:
650 +  map - the row mapping from local numbering to global numbering
651 .  nrows - the number of rows indicated
652 .  rows - the indices of the rows
653 .  cmap - the column mapping from local to global numbering
654 .  ncols - the number of columns in the matrix
655 .  cols - the columns indicated
656 .  dnz - the array that will be passed to the matrix preallocation routines
657 -  ozn - the other array passed to the matrix preallocation routines
658 
659    Level: intermediate
660 
661    Notes:
662     See Users-Manual: ch_performance for more details.
663 
664    Do not malloc or free dnz and onz, that is handled internally by these routines
665 
666   Concepts: preallocation^Matrix
667 
668 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
669           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
670 M*/
671 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
672 {\
673   PetscInt __l;\
674   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
675   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
676   for (__l=0;__l<nrows;__l++) {\
677     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
678   }\
679 }
680 
681 /*MC
682    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
683        inserted using a local number of the rows and columns
684 
685    Synopsis:
686    #include <petscmat.h>
687    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
688 
689    Not Collective
690 
691    Input Parameters:
692 +  map - the row mapping from local numbering to global numbering
693 .  nrows - the number of rows indicated
694 .  rows - the indices of the rows
695 .  cmap - the column mapping from local to global numbering
696 .  ncols - the number of columns in the matrix
697 .  cols - the columns indicated
698 .  dnz - the array that will be passed to the matrix preallocation routines
699 -  ozn - the other array passed to the matrix preallocation routines
700 
701    Level: intermediate
702 
703    Notes:
704     See Users-Manual: ch_performance for more details.
705 
706    Do not malloc or free dnz and onz, that is handled internally by these routines
707 
708   Concepts: preallocation^Matrix
709 
710 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
711           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
712 M*/
713 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
714 {\
715   PetscInt __l;\
716   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
717   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
718   for (__l=0;__l<nrows;__l++) {\
719     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
720   }\
721 }
722 
723 /*MC
724    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
725        inserted using a local number of the rows and columns
726 
727    Synopsis:
728    #include <petscmat.h>
729    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
730 
731    Not Collective
732 
733    Input Parameters:
734 +  map - the mapping between local numbering and global numbering
735 .  nrows - the number of rows indicated
736 .  rows - the indices of the rows
737 .  ncols - the number of columns in the matrix
738 .  cols - the columns indicated
739 .  dnz - the array that will be passed to the matrix preallocation routines
740 -  ozn - the other array passed to the matrix preallocation routines
741 
742    Level: intermediate
743 
744    Notes:
745     See Users-Manual: ch_performance for more details.
746 
747    Do not malloc or free dnz and onz that is handled internally by these routines
748 
749   Concepts: preallocation^Matrix
750 
751 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
752           MatPreallocateInitialize(),  MatPreallocateSetLocal()
753 M*/
754 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
755 {\
756   PetscInt __l;\
757   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
758   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
759   for (__l=0;__l<nrows;__l++) {\
760     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
761   }\
762 }
763 /*MC
764    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
765        inserted using a local number of the rows and columns
766 
767    Synopsis:
768    #include <petscmat.h>
769    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
770 
771    Not Collective
772 
773    Input Parameters:
774 +  row - the row
775 .  ncols - the number of columns in the matrix
776 -  cols - the columns indicated
777 
778    Output Parameters:
779 +  dnz - the array that will be passed to the matrix preallocation routines
780 -  ozn - the other array passed to the matrix preallocation routines
781 
782    Level: intermediate
783 
784    Notes:
785     See Users-Manual: ch_performance for more details.
786 
787    Do not malloc or free dnz and onz that is handled internally by these routines
788 
789    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
790 
791   Concepts: preallocation^Matrix
792 
793 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
794           MatPreallocateInitialize(), MatPreallocateSetLocal()
795 M*/
796 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
797 { PetscInt __i; \
798   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);\
799   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);\
800   for (__i=0; __i<nc; __i++) {\
801     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
802     else dnz[row - __rstart]++;\
803   }\
804 }
805 
806 /*MC
807    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
808        inserted using a local number of the rows and columns
809 
810    Synopsis:
811    #include <petscmat.h>
812    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
813 
814    Not Collective
815 
816    Input Parameters:
817 +  nrows - the number of rows indicated
818 .  rows - the indices of the rows
819 .  ncols - the number of columns in the matrix
820 .  cols - the columns indicated
821 .  dnz - the array that will be passed to the matrix preallocation routines
822 -  ozn - the other array passed to the matrix preallocation routines
823 
824    Level: intermediate
825 
826    Notes:
827     See Users-Manual: ch_performance for more details.
828 
829    Do not malloc or free dnz and onz that is handled internally by these routines
830 
831    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
832 
833   Concepts: preallocation^Matrix
834 
835 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
836           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
837 M*/
838 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
839 { PetscInt __i; \
840   for (__i=0; __i<nc; __i++) {\
841     if (cols[__i] >= __end) onz[row - __rstart]++; \
842     else if (cols[__i] >= row) dnz[row - __rstart]++;\
843   }\
844 }
845 
846 /*MC
847    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
848 
849    Synopsis:
850    #include <petscmat.h>
851    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
852 
853    Not Collective
854 
855    Input Parameters:
856 .  A - matrix
857 .  row - row where values exist (must be local to this process)
858 .  ncols - number of columns
859 .  cols - columns with nonzeros
860 .  dnz - the array that will be passed to the matrix preallocation routines
861 -  ozn - the other array passed to the matrix preallocation routines
862 
863    Level: intermediate
864 
865    Notes:
866     See Users-Manual: ch_performance for more details.
867 
868    Do not malloc or free dnz and onz that is handled internally by these routines
869 
870    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
871 
872   Concepts: preallocation^Matrix
873 
874 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
875           MatPreallocateSymmetricSetLocalBlock()
876 M*/
877 #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);}
878 
879 
880 /*MC
881    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
882        row in a matrix providing the data that one can use to correctly preallocate the matrix.
883 
884    Synopsis:
885    #include <petscmat.h>
886    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
887 
888    Collective on MPI_Comm
889 
890    Input Parameters:
891 +  dnz - the array that was be passed to the matrix preallocation routines
892 -  ozn - the other array passed to the matrix preallocation routines
893 
894    Level: intermediate
895 
896    Notes:
897     See Users-Manual: ch_performance for more details.
898 
899    Do not malloc or free dnz and onz that is handled internally by these routines
900 
901    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
902 
903   Concepts: preallocation^Matrix
904 
905 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
906           MatPreallocateSymmetricSetLocalBlock()
907 M*/
908 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
909 
910 /* Routines unique to particular data structures */
911 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
912 
913 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
914 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
915 
916 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
917 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
918 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
919 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
920 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
921 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
922 
923 #define MAT_SKIP_ALLOCATION -4
924 
925 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
926 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
927 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
928 
929 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
930 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
931 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
933 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
934 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
935 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
936 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
937 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
938 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
939 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
940 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
941 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
942 
943 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
944 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
945 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
946 
947 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
948 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
949 
950 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
951 
952 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
953 /*
954   These routines are not usually accessed directly, rather solving is
955   done through the KSP and PC interfaces.
956 */
957 
958 /*J
959     MatOrderingType - String with the name of a PETSc matrix ordering
960 
961    Level: beginner
962 
963 .seealso: MatGetOrdering()
964 J*/
965 typedef const char* MatOrderingType;
966 #define MATORDERINGNATURAL     "natural"
967 #define MATORDERINGND          "nd"
968 #define MATORDERING1WD         "1wd"
969 #define MATORDERINGRCM         "rcm"
970 #define MATORDERINGQMD         "qmd"
971 #define MATORDERINGROWLENGTH   "rowlength"
972 #define MATORDERINGWBM         "wbm"
973 #define MATORDERINGSPECTRAL    "spectral"
974 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
975 
976 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
977 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
978 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
979 PETSC_EXTERN PetscFunctionList MatOrderingList;
980 
981 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
982 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
983 
984 /*S
985     MatFactorShiftType - Numeric Shift.
986 
987    Level: beginner
988 
989 S*/
990 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
991 PETSC_EXTERN const char *const MatFactorShiftTypes[];
992 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
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 
1045 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1046 
1047 /*E
1048     MatSORType - What type of (S)SOR to perform
1049 
1050     Level: beginner
1051 
1052    May be bitwise ORd together
1053 
1054    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1055 
1056    MatSORType may be bitwise ORd together, so do not change the numbers
1057 
1058 .seealso: MatSOR()
1059 E*/
1060 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1061               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1062               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1063               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1064 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1065 
1066 /*
1067     These routines are for efficiently computing Jacobians via finite differences.
1068 */
1069 
1070 /*S
1071      MatColoring - Object for managing the coloring of matrices.
1072 
1073    Level: beginner
1074 
1075   Concepts: matrix, coloring
1076 
1077 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1078 S*/
1079 typedef struct _p_MatColoring* MatColoring;
1080 /*J
1081     MatColoringType - String with the name of a PETSc matrix coloring
1082 
1083    Level: beginner
1084 
1085 .seealso: MatColoringSetType(), MatColoring
1086 J*/
1087 
1088 typedef const  char*           MatColoringType;
1089 #define MATCOLORINGJP      "jp"
1090 #define MATCOLORINGPOWER   "power"
1091 #define MATCOLORINGNATURAL "natural"
1092 #define MATCOLORINGSL      "sl"
1093 #define MATCOLORINGLF      "lf"
1094 #define MATCOLORINGID      "id"
1095 #define MATCOLORINGGREEDY  "greedy"
1096 
1097 /*E
1098    MatColoringWeightType - Type of weight scheme
1099 
1100     Not Collective
1101 
1102 +   MAT_COLORING_RANDOM  - Random weights
1103 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1104 -   MAT_COLORING_LF      - Last-first weighting.
1105 
1106     Level: intermediate
1107 
1108    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1109 
1110 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1111 E*/
1112 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1113 
1114 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1115 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1116 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1117 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1118 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1119 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1120 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1121 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1122 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1123 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1124 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1125 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1126 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1127 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1128 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1129 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1130 
1131 /*S
1132      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1133         and coloring
1134 
1135    Level: beginner
1136 
1137   Concepts: coloring, sparse Jacobian, finite differences
1138 
1139 .seealso:  MatFDColoringCreate()
1140 S*/
1141 typedef struct _p_MatFDColoring* MatFDColoring;
1142 
1143 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1144 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1145 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1146 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1147 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1148 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1149 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1150 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1154 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1155 
1156 
1157 /*S
1158      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1159 
1160    Level: beginner
1161 
1162   Concepts: coloring, sparse matrix product
1163 
1164 .seealso:  MatTransposeColoringCreate()
1165 S*/
1166 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1167 
1168 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1169 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1170 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1171 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1172 
1173 /*
1174     These routines are for partitioning matrices: currently used only
1175   for adjacency matrix, MatCreateMPIAdj().
1176 */
1177 
1178 /*S
1179      MatPartitioning - Object for managing the partitioning of a matrix or graph
1180 
1181    Level: beginner
1182 
1183   Concepts: partitioning
1184 
1185 .seealso:  MatPartitioningCreate(), MatPartitioningType
1186 S*/
1187 typedef struct _p_MatPartitioning* MatPartitioning;
1188 
1189 /*J
1190     MatPartitioningType - String with the name of a PETSc matrix partitioning
1191 
1192    Level: beginner
1193 dm
1194 .seealso: MatPartitioningCreate(), MatPartitioning
1195 J*/
1196 typedef const char* MatPartitioningType;
1197 #define MATPARTITIONINGCURRENT  "current"
1198 #define MATPARTITIONINGAVERAGE   "average"
1199 #define MATPARTITIONINGSQUARE   "square"
1200 #define MATPARTITIONINGPARMETIS "parmetis"
1201 #define MATPARTITIONINGCHACO    "chaco"
1202 #define MATPARTITIONINGPARTY    "party"
1203 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1204 #define MATPARTITIONINGHIERARCH  "hierarch"
1205 
1206 
1207 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1208 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1209 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1210 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1211 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1212 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1213 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1214 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1215 
1216 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1217 
1218 
1219 
1220 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1221 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1222 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1223 
1224 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1225 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1226 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1227 
1228 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1229 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1230 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1231 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1232 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1233 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1234 
1235 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1240 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1241 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1243 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1244 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1245 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1246 
1247 #define MP_PARTY_OPT "opt"
1248 #define MP_PARTY_LIN "lin"
1249 #define MP_PARTY_SCA "sca"
1250 #define MP_PARTY_RAN "ran"
1251 #define MP_PARTY_GBF "gbf"
1252 #define MP_PARTY_GCF "gcf"
1253 #define MP_PARTY_BUB "bub"
1254 #define MP_PARTY_DEF "def"
1255 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1256 #define MP_PARTY_HELPFUL_SETS "hs"
1257 #define MP_PARTY_KERNIGHAN_LIN "kl"
1258 #define MP_PARTY_NONE "no"
1259 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1260 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1261 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1262 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1263 
1264 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1265 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1266 
1267 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1268 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1269 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1270 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1271 
1272 /*
1273  * hierarchical partitioning
1274  */
1275 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1276 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1277 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1278 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1279 
1280 /*
1281     These routines are for coarsening matrices:
1282 */
1283 
1284 /*S
1285      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1286 
1287    Level: beginner
1288 
1289   Concepts: coarsen
1290 
1291 .seealso:  MatCoarsenCreate), MatCoarsenType
1292 S*/
1293 typedef struct _p_MatCoarsen* MatCoarsen;
1294 
1295 /*J
1296     MatCoarsenType - String with the name of a PETSc matrix coarsen
1297 
1298    Level: beginner
1299 
1300 .seealso: MatCoarsenCreate(), MatCoarsen
1301 J*/
1302 typedef const char* MatCoarsenType;
1303 #define MATCOARSENMIS  "mis"
1304 #define MATCOARSENHEM  "hem"
1305 
1306 /* linked list for aggregates */
1307 typedef struct _PetscCDIntNd{
1308   struct _PetscCDIntNd *next;
1309   PetscInt             gid;
1310 }PetscCDIntNd;
1311 
1312 /* only used by node pool */
1313 typedef struct _PetscCDArrNd{
1314   struct _PetscCDArrNd *next;
1315   struct _PetscCDIntNd *array;
1316 }PetscCDArrNd;
1317 
1318 typedef struct _PetscCoarsenData{
1319   PetscCDArrNd pool_list;  /* node pool */
1320   PetscCDIntNd *new_node;
1321   PetscInt     new_left;
1322   PetscInt     chk_sz;
1323   PetscCDIntNd *extra_nodes;
1324   PetscCDIntNd **array;  /* Array of lists */
1325   PetscInt     size;
1326   Mat          mat;  /* cache a Mat for communication data */
1327 }PetscCoarsenData;
1328 
1329 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1330 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1331 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1332 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1333 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1334 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1335 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1336 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1337 
1338 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1339 
1340 
1341 
1342 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1343 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1344 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1345 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
1346 
1347 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1348 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1349 
1350 /*
1351     If you add entries here you must also add them to petsc/finclude/petscmat.h
1352 */
1353 typedef enum { MATOP_SET_VALUES=0,
1354                MATOP_GET_ROW=1,
1355                MATOP_RESTORE_ROW=2,
1356                MATOP_MULT=3,
1357                MATOP_MULT_ADD=4,
1358                MATOP_MULT_TRANSPOSE=5,
1359                MATOP_MULT_TRANSPOSE_ADD=6,
1360                MATOP_SOLVE=7,
1361                MATOP_SOLVE_ADD=8,
1362                MATOP_SOLVE_TRANSPOSE=9,
1363                MATOP_SOLVE_TRANSPOSE_ADD=10,
1364                MATOP_LUFACTOR=11,
1365                MATOP_CHOLESKYFACTOR=12,
1366                MATOP_SOR=13,
1367                MATOP_TRANSPOSE=14,
1368                MATOP_GETINFO=15,
1369                MATOP_EQUAL=16,
1370                MATOP_GET_DIAGONAL=17,
1371                MATOP_DIAGONAL_SCALE=18,
1372                MATOP_NORM=19,
1373                MATOP_ASSEMBLY_BEGIN=20,
1374                MATOP_ASSEMBLY_END=21,
1375                MATOP_SET_OPTION=22,
1376                MATOP_ZERO_ENTRIES=23,
1377                MATOP_ZERO_ROWS=24,
1378                MATOP_LUFACTOR_SYMBOLIC=25,
1379                MATOP_LUFACTOR_NUMERIC=26,
1380                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1381                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1382                MATOP_SETUP_PREALLOCATION=29,
1383                MATOP_ILUFACTOR_SYMBOLIC=30,
1384                MATOP_ICCFACTOR_SYMBOLIC=31,
1385                /* MATOP_PLACEHOLDER_32=32, */
1386                /* MATOP_PLACEHOLDER_33=33, */
1387                MATOP_DUPLICATE=34,
1388                MATOP_FORWARD_SOLVE=35,
1389                MATOP_BACKWARD_SOLVE=36,
1390                MATOP_ILUFACTOR=37,
1391                MATOP_ICCFACTOR=38,
1392                MATOP_AXPY=39,
1393                MATOP_GET_SUBMATRICES=40,
1394                MATOP_INCREASE_OVERLAP=41,
1395                MATOP_GET_VALUES=42,
1396                MATOP_COPY=43,
1397                MATOP_GET_ROW_MAX=44,
1398                MATOP_SCALE=45,
1399                MATOP_SHIFT=46,
1400                MATOP_DIAGONAL_SET=47,
1401                MATOP_ZERO_ROWS_COLUMNS=48,
1402                MATOP_SET_RANDOM=49,
1403                MATOP_GET_ROW_IJ=50,
1404                MATOP_RESTORE_ROW_IJ=51,
1405                MATOP_GET_COLUMN_IJ=52,
1406                MATOP_RESTORE_COLUMN_IJ=53,
1407                MATOP_FDCOLORING_CREATE=54,
1408                MATOP_COLORING_PATCH=55,
1409                MATOP_SET_UNFACTORED=56,
1410                MATOP_PERMUTE=57,
1411                MATOP_SET_VALUES_BLOCKED=58,
1412                MATOP_GET_SUBMATRIX=59,
1413                MATOP_DESTROY=60,
1414                MATOP_VIEW=61,
1415                MATOP_CONVERT_FROM=62,
1416                MATOP_MATMAT_MULT=63,
1417                MATOP_MATMAT_MULT_SYMBOLIC=64,
1418                MATOP_MATMAT_MULT_NUMERIC=65,
1419                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1420                MATOP_SET_VALUES_LOCAL=67,
1421                MATOP_ZERO_ROWS_LOCAL=68,
1422                MATOP_GET_ROW_MAX_ABS=69,
1423                MATOP_GET_ROW_MIN_ABS=70,
1424                MATOP_CONVERT=71,
1425                MATOP_SET_COLORING=72,
1426                /* MATOP_PLACEHOLDER_73=73, */
1427                MATOP_SET_VALUES_ADIFOR=74,
1428                MATOP_FD_COLORING_APPLY=75,
1429                MATOP_SET_FROM_OPTIONS=76,
1430                MATOP_MULT_CONSTRAINED=77,
1431                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1432                MATOP_FIND_ZERO_DIAGONALS=79,
1433                MATOP_MULT_MULTIPLE=80,
1434                MATOP_SOLVE_MULTIPLE=81,
1435                MATOP_GET_INERTIA=82,
1436                MATOP_LOAD=83,
1437                MATOP_IS_SYMMETRIC=84,
1438                MATOP_IS_HERMITIAN=85,
1439                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1440                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1441                MATOP_GET_VECS=88,
1442                MATOP_MAT_MULT=89,
1443                MATOP_MAT_MULT_SYMBOLIC=90,
1444                MATOP_MAT_MULT_NUMERIC=91,
1445                MATOP_PTAP=92,
1446                MATOP_PTAP_SYMBOLIC=93,
1447                MATOP_PTAP_NUMERIC=94,
1448                MATOP_MAT_TRANSPOSE_MULT=95,
1449                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1450                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1451                /* MATOP_PLACEHOLDER_98=98, */
1452                /* MATOP_PLACEHOLDER_99=99, */
1453                /* MATOP_PLACEHOLDER_100=100, */
1454                /* MATOP_PLACEHOLDER_101=101, */
1455                MATOP_CONJUGATE=102,
1456                /* MATOP_PLACEHOLDER_103=103, */
1457                MATOP_SET_VALUES_ROW=104,
1458                MATOP_REAL_PART=105,
1459                MATOP_IMAGINARY_PART=106,
1460                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1461                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1462                MATOP_MAT_SOLVE=109,
1463                MATOP_GET_REDUNDANT_MATRIX=110,
1464                MATOP_GET_ROW_MIN=111,
1465                MATOP_GET_COLUMN_VECTOR=112,
1466                MATOP_MISSING_DIAGONAL=113,
1467                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1468                MATOP_CREATE=115,
1469                MATOP_GET_GHOSTS=116,
1470                MATOP_GET_LOCAL_SUB_MATRIX=117,
1471                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1472                MATOP_MULT_DIAGONAL_BLOCK=119,
1473                MATOP_HERMITIAN_TRANSPOSE=120,
1474                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1475                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1476                MATOP_GET_MULTI_PROC_BLOCK=123,
1477                MATOP_FIND_NONZERO_ROWS=124,
1478                MATOP_GET_COLUMN_NORMS=125,
1479                MATOP_INVERT_BLOCK_DIAGONAL=126,
1480                /* MATOP_PLACEHOLDER_127=127, */
1481                MATOP_GET_SUB_MATRICES_PARALLE=128,
1482                MATOP_SET_VALUES_BATCH=129,
1483                MATOP_TRANSPOSE_MAT_MULT=130,
1484                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1485                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1486                MATOP_TRANSPOSE_COLORING_CREAT=133,
1487                MATOP_TRANS_COLORING_APPLY_SPT=134,
1488                MATOP_TRANS_COLORING_APPLY_DEN=135,
1489                MATOP_RART=136,
1490                MATOP_RART_SYMBOLIC=137,
1491                MATOP_RART_NUMERIC=138,
1492                MATOP_SET_BLOCK_SIZES=139,
1493                MATOP_AYPX=140,
1494                MATOP_RESIDUAL=141,
1495                MATOP_FDCOLORING_SETUP=142,
1496                MATOP_MPICONCATENATESEQ=144
1497              } MatOperation;
1498 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1499 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1500 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1501 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1502 
1503 /*
1504    Codes for matrices stored on disk. By default they are
1505    stored in a universal format. By changing the format with
1506    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1507    be stored in a way natural for the matrix, for example dense matrices
1508    would be stored as dense. Matrices stored this way may only be
1509    read into matrices of the same type.
1510 */
1511 #define MATRIX_BINARY_FORMAT_DENSE -1
1512 
1513 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1514 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1515 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1516 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1517 
1518 /*S
1519      MatNullSpace - Object that removes a null space from a vector, i.e.
1520          orthogonalizes the vector to a subsapce
1521 
1522    Level: advanced
1523 
1524   Concepts: matrix; linear operator, null space
1525 
1526   Users manual sections:
1527 .   sec_singular
1528 
1529 .seealso:  MatNullSpaceCreate()
1530 S*/
1531 typedef struct _p_MatNullSpace* MatNullSpace;
1532 
1533 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1534 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1535 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1536 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1537 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1538 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1539 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1540 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1541 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1542 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1543 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1544 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1545 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1546 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1547 
1548 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1549 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1550 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1551 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1552 
1553 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1554 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1555 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1556 
1557 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1558 
1559 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1560 
1561 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1562 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1563 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1564 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1565 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1566 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1567 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1568 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1569 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1570 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1571 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1572 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1573 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1574 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1575 
1576 /*S
1577     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1578               Jacobian vector products
1579 
1580     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1581 
1582            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1583 
1584     Level: developer
1585 
1586 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1587 S*/
1588 typedef struct _p_MatMFFD* MatMFFD;
1589 
1590 /*J
1591     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1592 
1593    Level: beginner
1594 
1595 .seealso: MatMFFDSetType(), MatMFFDRegister()
1596 J*/
1597 typedef const char* MatMFFDType;
1598 #define MATMFFD_DS  "ds"
1599 #define MATMFFD_WP  "wp"
1600 
1601 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1602 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1603 
1604 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1605 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1606 
1607 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1608 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1609 
1610 /*
1611    PETSc interface to MUMPS
1612 */
1613 #ifdef PETSC_HAVE_MUMPS
1614 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1615 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1616 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1617 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1618 
1619 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1620 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1621 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1622 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1623 
1624 PETSC_EXTERN PetscErrorCode MatMumpsSetSchurIndices(Mat,PetscInt,PetscInt[]);
1625 PETSC_EXTERN PetscErrorCode MatMumpsInvertSchurComplement(Mat);
1626 PETSC_EXTERN PetscErrorCode MatMumpsCreateSchurComplement(Mat,Mat*);
1627 PETSC_EXTERN PetscErrorCode MatMumpsGetSchurComplement(Mat,Mat*);
1628 PETSC_EXTERN PetscErrorCode MatMumpsRestoreSchurComplement(Mat,Mat*);
1629 PETSC_EXTERN PetscErrorCode MatMumpsSolveSchurComplement(Mat,Vec,Vec);
1630 PETSC_EXTERN PetscErrorCode MatMumpsSolveSchurComplementTranspose(Mat,Vec,Vec);
1631 #endif
1632 
1633 /*
1634    PETSc interface to Mkl_Pardiso
1635 */
1636 #ifdef PETSC_HAVE_MKL_PARDISO
1637 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1638 #endif
1639 
1640 /*
1641    PETSc interface to Mkl_CPardiso
1642 */
1643 #ifdef PETSC_HAVE_MKL_CPARDISO
1644 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1645 #endif
1646 
1647 /*
1648    PETSc interface to SUPERLU
1649 */
1650 #ifdef PETSC_HAVE_SUPERLU
1651 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1652 #endif
1653 
1654 #ifdef PETSC_HAVE_CUDA
1655 /*E
1656     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1657     matrices.
1658 
1659     Not Collective
1660 
1661 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1662 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1663 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1664 
1665     Level: intermediate
1666 
1667    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1668 
1669 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1670 E*/
1671 
1672 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1673 
1674 /* these will be strings associated with enumerated type defined above */
1675 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1676 
1677 /*E
1678     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1679     matrices whose operation should use a particular storage format.
1680 
1681     Not Collective
1682 
1683 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1684 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1685 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1686 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1687 
1688     Level: intermediate
1689 
1690 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1691 E*/
1692 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1693 
1694 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1695 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1696 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1697 #endif
1698 
1699 #if defined(PETSC_HAVE_CUSP)
1700 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1701 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1702 
1703 /*E
1704     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1705     matrices.
1706 
1707     Not Collective
1708 
1709 +   MAT_CUSP_CSR - Compressed Sparse Row
1710 .   MAT_CUSP_DIA - Diagonal
1711 -   MAT_CUSP_ELL - Ellpack
1712 
1713     Level: intermediate
1714 
1715    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1716 
1717 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1718 E*/
1719 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1720 
1721 /* these will be strings associated with enumerated type defined above */
1722 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1723 
1724 /*E
1725     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1726     matrices whose operation should use a particular storage format.
1727 
1728     Not Collective
1729 
1730 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1731 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1732 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1733 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1734 
1735     Level: intermediate
1736 
1737    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1738 
1739 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1740 E*/
1741 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1742 
1743 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1744 #endif
1745 
1746 #if defined(PETSC_HAVE_VIENNACL)
1747 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1748 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1749 #endif
1750 
1751 /*
1752    PETSc interface to FFTW
1753 */
1754 #if defined(PETSC_HAVE_FFTW)
1755 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1756 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1757 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1758 #endif
1759 
1760 /*
1761    PETSc interface to ELEMENTAL
1762 */
1763 #if defined(PETSC_HAVE_ELEMENTAL)
1764 #if defined(PETSC_USE_COMPLEX)
1765 typedef El::Complex<PetscReal> PetscElemScalar;
1766 #else
1767 typedef PetscScalar PetscElemScalar;
1768 #endif
1769 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1770 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1771 #endif
1772 
1773 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1774 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1775 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1776 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1777 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1778 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1779 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1780 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1781 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1782 
1783 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1784 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1785 
1786 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1787 
1788 #endif
1789