xref: /petsc/include/petscmat.h (revision b1f5bccad0ccce244f56b49ddfa56a0eb5fa3ca3)
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 MATSEQBSTRM        "seqbstrm"
64 #define MATMPIBSTRM        "mpibstrm"
65 #define MATBSTRM           "bstrm"
66 #define MATSEQSBSTRM       "seqsbstrm"
67 #define MATMPISBSTRM       "mpisbstrm"
68 #define MATSBSTRM          "sbstrm"
69 #define MATDAAD            "daad"
70 #define MATMFFD            "mffd"
71 #define MATNORMAL          "normal"
72 #define MATNORMALHERMITIAN "normalh"
73 #define MATLRC             "lrc"
74 #define MATSCATTER         "scatter"
75 #define MATBLOCKMAT        "blockmat"
76 #define MATCOMPOSITE       "composite"
77 #define MATFFT             "fft"
78 #define MATFFTW            "fftw"
79 #define MATSEQCUFFT        "seqcufft"
80 #define MATTRANSPOSEMAT    "transpose"
81 #define MATSCHURCOMPLEMENT "schurcomplement"
82 #define MATPYTHON          "python"
83 #define MATHYPRESTRUCT     "hyprestruct"
84 #define MATHYPRESSTRUCT    "hypresstruct"
85 #define MATSUBMATRIX       "submatrix"
86 #define MATLOCALREF        "localref"
87 #define MATNEST            "nest"
88 #define MATPREALLOCATOR    "preallocator"
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 MATSOLVERCLIQUE       "clique"
105 #define MATSOLVERKLU          "klu"
106 #define MATSOLVERELEMENTAL    "elemental"
107 #define MATSOLVERESSL         "essl"
108 #define MATSOLVERLUSOL        "lusol"
109 #define MATSOLVERMUMPS        "mumps"
110 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
111 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
112 #define MATSOLVERPASTIX       "pastix"
113 #define MATSOLVERMATLAB       "matlab"
114 #define MATSOLVERPETSC        "petsc"
115 #define MATSOLVERBAS          "bas"
116 #define MATSOLVERCUSPARSE     "cusparse"
117 #define MATSOLVERBSTRM        "bstrm"
118 #define MATSOLVERSBSTRM       "sbstrm"
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,MAT_INPLACE_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 MatSetErrorIfFailure(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 MatCreateNormalHermitian(Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
230 
231 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
235 
236 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
237 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
238 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
239 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
240 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
241 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
242 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
243 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
244 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
245 
246 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
248 
249 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
250 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
251 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
252 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
253 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
254 
255 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
256 
257 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
258 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
259 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
260 
261 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
262 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
264 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
265 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
266 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
267 
268 /* ------------------------------------------------------------*/
269 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
274 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
275 
276 /*S
277      MatStencil - Data structure (C struct) for storing information about a single row or
278         column of a matrix as indexed on an associated grid.
279 
280    Fortran usage is different, see MatSetValuesStencil() for details.
281 
282    Level: beginner
283 
284   Concepts: matrix; linear operator
285 
286 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
287 S*/
288 typedef struct {
289   PetscInt k,j,i,c;
290 } MatStencil;
291 
292 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
293 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
294 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
295 
296 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
297 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
298 
299 /*E
300     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
301      to continue to add values to it
302 
303     Level: beginner
304 
305 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
306 E*/
307 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
308 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
309 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
310 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
311 
312 
313 
314 /*E
315     MatOption - Options that may be set for a matrix and its behavior or storage
316 
317     Level: beginner
318 
319    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
320 
321    Developer Notes: Entries that are negative need not be called collectively by all processes.
322 
323 .seealso: MatSetOption()
324 E*/
325 typedef enum {MAT_OPTION_MIN = -3,
326               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
327               MAT_ROW_ORIENTED = -1,
328               MAT_SYMMETRIC = 1,
329               MAT_STRUCTURALLY_SYMMETRIC = 2,
330               MAT_NEW_DIAGONALS = 3,
331               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
332               MAT_USE_HASH_TABLE = 5,
333               MAT_KEEP_NONZERO_PATTERN = 6,
334               MAT_IGNORE_ZERO_ENTRIES = 7,
335               MAT_USE_INODES = 8,
336               MAT_HERMITIAN = 9,
337               MAT_SYMMETRY_ETERNAL = 10,
338               MAT_NEW_NONZERO_LOCATION_ERR = 11,
339               MAT_IGNORE_LOWER_TRIANGULAR = 12,
340               MAT_ERROR_LOWER_TRIANGULAR = 13,
341               MAT_GETROW_UPPERTRIANGULAR = 14,
342               MAT_SPD = 15,
343               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
344               MAT_NO_OFF_PROC_ENTRIES = 17,
345               MAT_NEW_NONZERO_LOCATIONS = 18,
346               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
347               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
348               MAT_OPTION_MAX = 21} MatOption;
349 
350 PETSC_EXTERN const char *MatOptions[];
351 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
352 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
353 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
354 
355 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
356 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
357 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
358 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
359 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
360 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
361 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
362 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
367 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
369 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
370 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
371 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
372 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
373 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
374 
375 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
381 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
382 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
387 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
388 
389 /*E
390     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
391   its numerical values copied over or just its nonzero structure.
392 
393     Level: beginner
394 
395    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
396 
397 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
398 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
399 $                               have several matrices with the same nonzero pattern.
400 
401 .seealso: MatDuplicate()
402 E*/
403 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
404 
405 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
406 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
407 
408 
409 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
410 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
411 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
412 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
417 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
418 
419 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
420 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
421 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 
424 /*S
425      MatInfo - Context of matrix information, used with MatGetInfo()
426 
427    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
428 
429    Level: intermediate
430 
431   Concepts: matrix^nonzero information
432 
433 .seealso:  MatGetInfo(), MatInfoType
434 S*/
435 typedef struct {
436   PetscLogDouble block_size;                         /* block size */
437   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
438   PetscLogDouble memory;                             /* memory allocated */
439   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
440   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
441   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
442   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
443 } MatInfo;
444 
445 /*E
446     MatInfoType - Indicates if you want information about the local part of the matrix,
447      the entire parallel matrix or the maximum over all the local parts.
448 
449     Level: beginner
450 
451    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
452 
453 .seealso: MatGetInfo(), MatInfo
454 E*/
455 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
456 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
457 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
458 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
459 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
460 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
463 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
464 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
465 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
466 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
467 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
468 
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 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
475 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
476 
477 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
478 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
479 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
480 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
481 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
482 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
483 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
484 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
485 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
486 
487 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
488 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
489 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
490 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
491 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
492 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
493 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
494 
495 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
496 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
497 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
498 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
499 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
500 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
501 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
502 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
503 
504 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
505 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
506 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
507 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
508 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
509 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
510 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
511 
512 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
513 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
514 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
515 
516 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
519 
520 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,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     MatFactorError - indicates what type of error in matrix factor
996 
997     Level: beginner
998 
999     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1000 S*/
1001 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1002 
1003 /*S
1004    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1005 
1006    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1007 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1008 
1009    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1010 
1011       You can use MatFactorInfoInitialize() to set default values.
1012 
1013    Level: developer
1014 
1015 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1016           MatFactorInfoInitialize()
1017 
1018 S*/
1019 typedef struct {
1020   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1021   PetscReal     usedt;
1022   PetscReal     dt;             /* drop tolerance */
1023   PetscReal     dtcol;          /* tolerance for pivoting */
1024   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1025   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1026   PetscReal     levels;         /* ICC/ILU(levels) */
1027   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1028                                    factorization may be faster if do not pivot */
1029   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1030   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1031   PetscReal     shiftamount;     /* how large the shift is */
1032 } MatFactorInfo;
1033 
1034 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1037 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1038 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1039 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1040 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1041 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1042 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1043 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1044 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1045 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1046 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1047 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1048 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1049 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1050 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1051 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1052 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1053 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1054 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1055 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1056 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1057 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1058 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1059 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1060 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1061 
1062 /*E
1063     MatSORType - What type of (S)SOR to perform
1064 
1065     Level: beginner
1066 
1067    May be bitwise ORd together
1068 
1069    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1070 
1071    MatSORType may be bitwise ORd together, so do not change the numbers
1072 
1073 .seealso: MatSOR()
1074 E*/
1075 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1076               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1077               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1078               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1079 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1080 
1081 /*
1082     These routines are for efficiently computing Jacobians via finite differences.
1083 */
1084 
1085 /*S
1086      MatColoring - Object for managing the coloring of matrices.
1087 
1088    Level: beginner
1089 
1090   Concepts: matrix, coloring
1091 
1092 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1093 S*/
1094 typedef struct _p_MatColoring* MatColoring;
1095 /*J
1096     MatColoringType - String with the name of a PETSc matrix coloring
1097 
1098    Level: beginner
1099 
1100 .seealso: MatColoringSetType(), MatColoring
1101 J*/
1102 
1103 typedef const  char*           MatColoringType;
1104 #define MATCOLORINGJP      "jp"
1105 #define MATCOLORINGPOWER   "power"
1106 #define MATCOLORINGNATURAL "natural"
1107 #define MATCOLORINGSL      "sl"
1108 #define MATCOLORINGLF      "lf"
1109 #define MATCOLORINGID      "id"
1110 #define MATCOLORINGGREEDY  "greedy"
1111 
1112 /*E
1113    MatColoringWeightType - Type of weight scheme
1114 
1115     Not Collective
1116 
1117 +   MAT_COLORING_RANDOM  - Random weights
1118 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1119 -   MAT_COLORING_LF      - Last-first weighting.
1120 
1121     Level: intermediate
1122 
1123    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1124 
1125 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1126 E*/
1127 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1128 
1129 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1130 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1131 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1132 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1133 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1134 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1135 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1136 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1137 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1138 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1139 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1140 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1141 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1142 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1143 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1144 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1145 
1146 /*S
1147      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1148         and coloring
1149 
1150    Level: beginner
1151 
1152   Concepts: coloring, sparse Jacobian, finite differences
1153 
1154 .seealso:  MatFDColoringCreate()
1155 S*/
1156 typedef struct _p_MatFDColoring* MatFDColoring;
1157 
1158 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1159 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1160 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1161 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1162 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1163 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1164 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1165 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1166 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1167 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1168 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1169 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1170 
1171 
1172 /*S
1173      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1174 
1175    Level: beginner
1176 
1177   Concepts: coloring, sparse matrix product
1178 
1179 .seealso:  MatTransposeColoringCreate()
1180 S*/
1181 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1182 
1183 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1184 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1185 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1186 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1187 
1188 /*
1189     These routines are for partitioning matrices: currently used only
1190   for adjacency matrix, MatCreateMPIAdj().
1191 */
1192 
1193 /*S
1194      MatPartitioning - Object for managing the partitioning of a matrix or graph
1195 
1196    Level: beginner
1197 
1198   Concepts: partitioning
1199 
1200 .seealso:  MatPartitioningCreate(), MatPartitioningType
1201 S*/
1202 typedef struct _p_MatPartitioning* MatPartitioning;
1203 
1204 /*J
1205     MatPartitioningType - String with the name of a PETSc matrix partitioning
1206 
1207    Level: beginner
1208 dm
1209 .seealso: MatPartitioningCreate(), MatPartitioning
1210 J*/
1211 typedef const char* MatPartitioningType;
1212 #define MATPARTITIONINGCURRENT  "current"
1213 #define MATPARTITIONINGAVERAGE   "average"
1214 #define MATPARTITIONINGSQUARE   "square"
1215 #define MATPARTITIONINGPARMETIS "parmetis"
1216 #define MATPARTITIONINGCHACO    "chaco"
1217 #define MATPARTITIONINGPARTY    "party"
1218 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1219 #define MATPARTITIONINGHIERARCH  "hierarch"
1220 
1221 
1222 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1223 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1224 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1225 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1226 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1227 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1228 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1229 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1230 
1231 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1232 
1233 
1234 
1235 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1238 
1239 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1240 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1241 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1242 
1243 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1244 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1245 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1246 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1247 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1248 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1249 
1250 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1251 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1252 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1253 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1254 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1255 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1256 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1257 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1258 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1259 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1260 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1261 
1262 #define MP_PARTY_OPT "opt"
1263 #define MP_PARTY_LIN "lin"
1264 #define MP_PARTY_SCA "sca"
1265 #define MP_PARTY_RAN "ran"
1266 #define MP_PARTY_GBF "gbf"
1267 #define MP_PARTY_GCF "gcf"
1268 #define MP_PARTY_BUB "bub"
1269 #define MP_PARTY_DEF "def"
1270 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1271 #define MP_PARTY_HELPFUL_SETS "hs"
1272 #define MP_PARTY_KERNIGHAN_LIN "kl"
1273 #define MP_PARTY_NONE "no"
1274 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1275 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1276 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1277 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1278 
1279 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1280 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1281 
1282 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1283 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1284 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1286 
1287 /*
1288  * hierarchical partitioning
1289  */
1290 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1291 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1292 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1293 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1294 
1295 /*
1296     These routines are for coarsening matrices:
1297 */
1298 
1299 /*S
1300      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1301 
1302    Level: beginner
1303 
1304   Concepts: coarsen
1305 
1306 .seealso:  MatCoarsenCreate), MatCoarsenType
1307 S*/
1308 typedef struct _p_MatCoarsen* MatCoarsen;
1309 
1310 /*J
1311     MatCoarsenType - String with the name of a PETSc matrix coarsen
1312 
1313    Level: beginner
1314 
1315 .seealso: MatCoarsenCreate(), MatCoarsen
1316 J*/
1317 typedef const char* MatCoarsenType;
1318 #define MATCOARSENMIS  "mis"
1319 #define MATCOARSENHEM  "hem"
1320 
1321 /* linked list for aggregates */
1322 typedef struct _PetscCDIntNd{
1323   struct _PetscCDIntNd *next;
1324   PetscInt             gid;
1325 }PetscCDIntNd;
1326 
1327 /* only used by node pool */
1328 typedef struct _PetscCDArrNd{
1329   struct _PetscCDArrNd *next;
1330   struct _PetscCDIntNd *array;
1331 }PetscCDArrNd;
1332 
1333 typedef struct _PetscCoarsenData{
1334   PetscCDArrNd pool_list;  /* node pool */
1335   PetscCDIntNd *new_node;
1336   PetscInt     new_left;
1337   PetscInt     chk_sz;
1338   PetscCDIntNd *extra_nodes;
1339   PetscCDIntNd **array;  /* Array of lists */
1340   PetscInt     size;
1341   Mat          mat;  /* cache a Mat for communication data */
1342 }PetscCoarsenData;
1343 
1344 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1345 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1346 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1347 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1348 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1349 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1350 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1351 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1352 
1353 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1354 
1355 
1356 
1357 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1358 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1359 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1360 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
1361 
1362 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1363 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1364 
1365 /*
1366     If you add entries here you must also add them to petsc/finclude/petscmat.h
1367 */
1368 typedef enum { MATOP_SET_VALUES=0,
1369                MATOP_GET_ROW=1,
1370                MATOP_RESTORE_ROW=2,
1371                MATOP_MULT=3,
1372                MATOP_MULT_ADD=4,
1373                MATOP_MULT_TRANSPOSE=5,
1374                MATOP_MULT_TRANSPOSE_ADD=6,
1375                MATOP_SOLVE=7,
1376                MATOP_SOLVE_ADD=8,
1377                MATOP_SOLVE_TRANSPOSE=9,
1378                MATOP_SOLVE_TRANSPOSE_ADD=10,
1379                MATOP_LUFACTOR=11,
1380                MATOP_CHOLESKYFACTOR=12,
1381                MATOP_SOR=13,
1382                MATOP_TRANSPOSE=14,
1383                MATOP_GETINFO=15,
1384                MATOP_EQUAL=16,
1385                MATOP_GET_DIAGONAL=17,
1386                MATOP_DIAGONAL_SCALE=18,
1387                MATOP_NORM=19,
1388                MATOP_ASSEMBLY_BEGIN=20,
1389                MATOP_ASSEMBLY_END=21,
1390                MATOP_SET_OPTION=22,
1391                MATOP_ZERO_ENTRIES=23,
1392                MATOP_ZERO_ROWS=24,
1393                MATOP_LUFACTOR_SYMBOLIC=25,
1394                MATOP_LUFACTOR_NUMERIC=26,
1395                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1396                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1397                MATOP_SETUP_PREALLOCATION=29,
1398                MATOP_ILUFACTOR_SYMBOLIC=30,
1399                MATOP_ICCFACTOR_SYMBOLIC=31,
1400                /* MATOP_PLACEHOLDER_32=32, */
1401                /* MATOP_PLACEHOLDER_33=33, */
1402                MATOP_DUPLICATE=34,
1403                MATOP_FORWARD_SOLVE=35,
1404                MATOP_BACKWARD_SOLVE=36,
1405                MATOP_ILUFACTOR=37,
1406                MATOP_ICCFACTOR=38,
1407                MATOP_AXPY=39,
1408                MATOP_GET_SUBMATRICES=40,
1409                MATOP_INCREASE_OVERLAP=41,
1410                MATOP_GET_VALUES=42,
1411                MATOP_COPY=43,
1412                MATOP_GET_ROW_MAX=44,
1413                MATOP_SCALE=45,
1414                MATOP_SHIFT=46,
1415                MATOP_DIAGONAL_SET=47,
1416                MATOP_ZERO_ROWS_COLUMNS=48,
1417                MATOP_SET_RANDOM=49,
1418                MATOP_GET_ROW_IJ=50,
1419                MATOP_RESTORE_ROW_IJ=51,
1420                MATOP_GET_COLUMN_IJ=52,
1421                MATOP_RESTORE_COLUMN_IJ=53,
1422                MATOP_FDCOLORING_CREATE=54,
1423                MATOP_COLORING_PATCH=55,
1424                MATOP_SET_UNFACTORED=56,
1425                MATOP_PERMUTE=57,
1426                MATOP_SET_VALUES_BLOCKED=58,
1427                MATOP_GET_SUBMATRIX=59,
1428                MATOP_DESTROY=60,
1429                MATOP_VIEW=61,
1430                MATOP_CONVERT_FROM=62,
1431                MATOP_MATMAT_MULT=63,
1432                MATOP_MATMAT_MULT_SYMBOLIC=64,
1433                MATOP_MATMAT_MULT_NUMERIC=65,
1434                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1435                MATOP_SET_VALUES_LOCAL=67,
1436                MATOP_ZERO_ROWS_LOCAL=68,
1437                MATOP_GET_ROW_MAX_ABS=69,
1438                MATOP_GET_ROW_MIN_ABS=70,
1439                MATOP_CONVERT=71,
1440                MATOP_SET_COLORING=72,
1441                /* MATOP_PLACEHOLDER_73=73, */
1442                MATOP_SET_VALUES_ADIFOR=74,
1443                MATOP_FD_COLORING_APPLY=75,
1444                MATOP_SET_FROM_OPTIONS=76,
1445                MATOP_MULT_CONSTRAINED=77,
1446                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1447                MATOP_FIND_ZERO_DIAGONALS=79,
1448                MATOP_MULT_MULTIPLE=80,
1449                MATOP_SOLVE_MULTIPLE=81,
1450                MATOP_GET_INERTIA=82,
1451                MATOP_LOAD=83,
1452                MATOP_IS_SYMMETRIC=84,
1453                MATOP_IS_HERMITIAN=85,
1454                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1455                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1456                MATOP_GET_VECS=88,
1457                MATOP_MAT_MULT=89,
1458                MATOP_MAT_MULT_SYMBOLIC=90,
1459                MATOP_MAT_MULT_NUMERIC=91,
1460                MATOP_PTAP=92,
1461                MATOP_PTAP_SYMBOLIC=93,
1462                MATOP_PTAP_NUMERIC=94,
1463                MATOP_MAT_TRANSPOSE_MULT=95,
1464                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1465                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1466                /* MATOP_PLACEHOLDER_98=98, */
1467                /* MATOP_PLACEHOLDER_99=99, */
1468                /* MATOP_PLACEHOLDER_100=100, */
1469                /* MATOP_PLACEHOLDER_101=101, */
1470                MATOP_CONJUGATE=102,
1471                /* MATOP_PLACEHOLDER_103=103, */
1472                MATOP_SET_VALUES_ROW=104,
1473                MATOP_REAL_PART=105,
1474                MATOP_IMAGINARY_PART=106,
1475                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1476                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1477                MATOP_MAT_SOLVE=109,
1478                MATOP_GET_REDUNDANT_MATRIX=110,
1479                MATOP_GET_ROW_MIN=111,
1480                MATOP_GET_COLUMN_VECTOR=112,
1481                MATOP_MISSING_DIAGONAL=113,
1482                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1483                MATOP_CREATE=115,
1484                MATOP_GET_GHOSTS=116,
1485                MATOP_GET_LOCAL_SUB_MATRIX=117,
1486                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1487                MATOP_MULT_DIAGONAL_BLOCK=119,
1488                MATOP_HERMITIAN_TRANSPOSE=120,
1489                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1490                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1491                MATOP_GET_MULTI_PROC_BLOCK=123,
1492                MATOP_FIND_NONZERO_ROWS=124,
1493                MATOP_GET_COLUMN_NORMS=125,
1494                MATOP_INVERT_BLOCK_DIAGONAL=126,
1495                /* MATOP_PLACEHOLDER_127=127, */
1496                MATOP_GET_SUB_MATRICES_PARALLE=128,
1497                MATOP_SET_VALUES_BATCH=129,
1498                MATOP_TRANSPOSE_MAT_MULT=130,
1499                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1500                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1501                MATOP_TRANSPOSE_COLORING_CREAT=133,
1502                MATOP_TRANS_COLORING_APPLY_SPT=134,
1503                MATOP_TRANS_COLORING_APPLY_DEN=135,
1504                MATOP_RART=136,
1505                MATOP_RART_SYMBOLIC=137,
1506                MATOP_RART_NUMERIC=138,
1507                MATOP_SET_BLOCK_SIZES=139,
1508                MATOP_AYPX=140,
1509                MATOP_RESIDUAL=141,
1510                MATOP_FDCOLORING_SETUP=142,
1511                MATOP_MPICONCATENATESEQ=144
1512              } MatOperation;
1513 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1514 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1515 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1516 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1517 
1518 /*
1519    Codes for matrices stored on disk. By default they are
1520    stored in a universal format. By changing the format with
1521    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1522    be stored in a way natural for the matrix, for example dense matrices
1523    would be stored as dense. Matrices stored this way may only be
1524    read into matrices of the same type.
1525 */
1526 #define MATRIX_BINARY_FORMAT_DENSE -1
1527 
1528 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1529 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1530 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1531 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1532 
1533 /*S
1534      MatNullSpace - Object that removes a null space from a vector, i.e.
1535          orthogonalizes the vector to a subsapce
1536 
1537    Level: advanced
1538 
1539   Concepts: matrix; linear operator, null space
1540 
1541   Users manual sections:
1542 .   sec_singular
1543 
1544 .seealso:  MatNullSpaceCreate()
1545 S*/
1546 typedef struct _p_MatNullSpace* MatNullSpace;
1547 
1548 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1549 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1550 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1551 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1552 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1553 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1554 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1555 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1556 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1557 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1558 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1559 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1560 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1561 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1562 
1563 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1564 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1565 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1566 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1567 
1568 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1569 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1570 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1571 
1572 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1573 
1574 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1575 
1576 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1577 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1578 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1579 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1580 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1581 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1582 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1583 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1584 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1585 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1586 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1587 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1588 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1589 
1590 /*S
1591     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1592               Jacobian vector products
1593 
1594     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1595 
1596            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1597 
1598     Level: developer
1599 
1600 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1601 S*/
1602 typedef struct _p_MatMFFD* MatMFFD;
1603 
1604 /*J
1605     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1606 
1607    Level: beginner
1608 
1609 .seealso: MatMFFDSetType(), MatMFFDRegister()
1610 J*/
1611 typedef const char* MatMFFDType;
1612 #define MATMFFD_DS  "ds"
1613 #define MATMFFD_WP  "wp"
1614 
1615 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1616 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1617 
1618 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1619 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1620 
1621 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1622 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1623 
1624 /*
1625    PETSc interface to MUMPS
1626 */
1627 #ifdef PETSC_HAVE_MUMPS
1628 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1629 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1630 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1631 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1632 
1633 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1634 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1635 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1636 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1637 #endif
1638 
1639 /*
1640    PETSc interface to Mkl_Pardiso
1641 */
1642 #ifdef PETSC_HAVE_MKL_PARDISO
1643 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1644 #endif
1645 
1646 /*
1647    PETSc interface to Mkl_CPardiso
1648 */
1649 #ifdef PETSC_HAVE_MKL_CPARDISO
1650 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1651 #endif
1652 
1653 /*
1654    PETSc interface to SUPERLU
1655 */
1656 #ifdef PETSC_HAVE_SUPERLU
1657 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1658 #endif
1659 
1660 #ifdef PETSC_HAVE_CUDA
1661 /*E
1662     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1663     matrices.
1664 
1665     Not Collective
1666 
1667 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1668 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1669 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1670 
1671     Level: intermediate
1672 
1673    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1674 
1675 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1676 E*/
1677 
1678 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1679 
1680 /* these will be strings associated with enumerated type defined above */
1681 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1682 
1683 /*E
1684     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1685     matrices whose operation should use a particular storage format.
1686 
1687     Not Collective
1688 
1689 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1690 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1691 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1692 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1693 
1694     Level: intermediate
1695 
1696 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1697 E*/
1698 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1699 
1700 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1701 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1702 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1703 #endif
1704 
1705 #if defined(PETSC_HAVE_CUSP)
1706 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1707 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1708 
1709 /*E
1710     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1711     matrices.
1712 
1713     Not Collective
1714 
1715 +   MAT_CUSP_CSR - Compressed Sparse Row
1716 .   MAT_CUSP_DIA - Diagonal
1717 -   MAT_CUSP_ELL - Ellpack
1718 
1719     Level: intermediate
1720 
1721    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1722 
1723 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1724 E*/
1725 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1726 
1727 /* these will be strings associated with enumerated type defined above */
1728 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1729 
1730 /*E
1731     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1732     matrices whose operation should use a particular storage format.
1733 
1734     Not Collective
1735 
1736 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1737 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1738 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1739 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1740 
1741     Level: intermediate
1742 
1743    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1744 
1745 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1746 E*/
1747 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1748 
1749 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1750 #endif
1751 
1752 #if defined(PETSC_HAVE_VIENNACL)
1753 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1754 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1755 #endif
1756 
1757 /*
1758    PETSc interface to FFTW
1759 */
1760 #if defined(PETSC_HAVE_FFTW)
1761 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1762 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1763 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1764 #endif
1765 
1766 /*
1767    PETSc interface to ELEMENTAL
1768 */
1769 #if defined(PETSC_HAVE_ELEMENTAL)
1770 #if defined(PETSC_USE_COMPLEX)
1771 typedef El::Complex<PetscReal> PetscElemScalar;
1772 #else
1773 typedef PetscScalar PetscElemScalar;
1774 #endif
1775 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1776 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1777 #endif
1778 
1779 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1780 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1781 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1782 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1783 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1784 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1785 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1786 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1787 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1788 
1789 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1790 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1791 
1792 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1793 
1794 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1795 
1796 #endif
1797