xref: /petsc/include/petscmat.h (revision b3afcdbeace4b2d63b0b5a1e28971cf80ff20f66)
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 MATNORMALHERMITIAN "normalh"
75 #define MATLRC             "lrc"
76 #define MATSCATTER         "scatter"
77 #define MATBLOCKMAT        "blockmat"
78 #define MATCOMPOSITE       "composite"
79 #define MATFFT             "fft"
80 #define MATFFTW            "fftw"
81 #define MATSEQCUFFT        "seqcufft"
82 #define MATTRANSPOSEMAT    "transpose"
83 #define MATSCHURCOMPLEMENT "schurcomplement"
84 #define MATPYTHON          "python"
85 #define MATHYPRESTRUCT     "hyprestruct"
86 #define MATHYPRESSTRUCT    "hypresstruct"
87 #define MATSUBMATRIX       "submatrix"
88 #define MATLOCALREF        "localref"
89 #define MATNEST            "nest"
90 
91 /*J
92     MatSolverPackage - String with the name of a PETSc matrix solver type.
93 
94     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
95 
96    Level: beginner
97 
98 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
99 J*/
100 #define MatSolverPackage char*
101 #define MATSOLVERSUPERLU      "superlu"
102 #define MATSOLVERSUPERLU_DIST "superlu_dist"
103 #define MATSOLVERUMFPACK      "umfpack"
104 #define MATSOLVERCHOLMOD      "cholmod"
105 #define MATSOLVERESSL         "essl"
106 #define MATSOLVERLUSOL        "lusol"
107 #define MATSOLVERMUMPS        "mumps"
108 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
109 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
110 #define MATSOLVERPASTIX       "pastix"
111 #define MATSOLVERMATLAB       "matlab"
112 #define MATSOLVERPETSC        "petsc"
113 #define MATSOLVERBAS          "bas"
114 #define MATSOLVERCUSPARSE     "cusparse"
115 #define MATSOLVERBSTRM        "bstrm"
116 #define MATSOLVERSBSTRM       "sbstrm"
117 #define MATSOLVERELEMENTAL    "elemental"
118 #define MATSOLVERCLIQUE       "clique"
119 #define MATSOLVERKLU          "klu"
120 
121 /*E
122     MatFactorType - indicates what type of factorization is requested
123 
124     Level: beginner
125 
126    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
127 
128 .seealso: MatSolverPackage, MatGetFactor()
129 E*/
130 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
131 PETSC_EXTERN const char *const MatFactorTypes[];
132 
133 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
134 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
135 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
136 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
137 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
138 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
139 
140 /* Logging support */
141 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
142 PETSC_EXTERN PetscClassId MAT_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
147 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
148 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
149 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
150 
151 /*E
152     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
153      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
154      that the input matrix is to be replaced with the converted matrix.
155 
156     Level: beginner
157 
158    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
159 
160 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
161 E*/
162 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
163 
164 /*E
165     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
166      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
167 
168     Level: beginner
169 
170 .seealso: MatGetSeqNonzerostructure()
171 E*/
172 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
173 
174 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
175 
176 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
177 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
178 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
179 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
180 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
181 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
182 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
183 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
184 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
185 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
186 PETSC_EXTERN PetscErrorCode MatSetErrorIfFPE(Mat,PetscBool);
187 
188 PETSC_EXTERN PetscFunctionList MatList;
189 PETSC_EXTERN PetscFunctionList MatColoringList;
190 PETSC_EXTERN PetscFunctionList MatPartitioningList;
191 PETSC_EXTERN PetscFunctionList MatCoarsenList;
192 
193 /*E
194     MatStructure - Indicates if two matrices have the same nonzero structure
195 
196     Level: beginner
197 
198    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
199 
200 .seealso: MatCopy(), MatAXPY()
201 E*/
202 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
203 
204 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
208 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
209 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
210 
211 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
214 
215 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
217 
218 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
219 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
220 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
221 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
222 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
223 
224 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
230 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
231 
232 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
235 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
236 
237 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
238 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
239 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
240 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
241 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
242 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
243 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
244 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
245 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
246 
247 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
248 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
249 
250 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
251 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
252 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
253 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
254 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
255 
256 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
257 
258 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
259 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
260 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
261 
262 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
263 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
264 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
265 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
266 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
267 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
268 
269 /* ------------------------------------------------------------*/
270 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
271 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
272 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
274 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
275 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
276 
277 /*S
278      MatStencil - Data structure (C struct) for storing information about a single row or
279         column of a matrix as indexed on an associated grid.
280 
281    Fortran usage is different, see MatSetValuesStencil() for details.
282 
283    Level: beginner
284 
285   Concepts: matrix; linear operator
286 
287 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
288 S*/
289 typedef struct {
290   PetscInt k,j,i,c;
291 } MatStencil;
292 
293 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
294 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
295 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
296 
297 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
298 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
299 
300 /*E
301     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
302      to continue to add values to it
303 
304     Level: beginner
305 
306 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
307 E*/
308 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
309 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
310 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
311 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
312 
313 
314 
315 /*E
316     MatOption - Options that may be set for a matrix and its behavior or storage
317 
318     Level: beginner
319 
320    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
321 
322    Developer Notes: Entries that are negative need not be called collectively by all processes.
323 
324 .seealso: MatSetOption()
325 E*/
326 typedef enum {MAT_OPTION_MIN = -3,
327               MAT_UNUSED_NONZERO_LOCATION_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_NEW_NONZERO_LOCATION_ERR = 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_NEW_NONZERO_ALLOCATION_ERR = 19,
348               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
349               MAT_OPTION_MAX = 21} MatOption;
350 
351 PETSC_EXTERN const char *MatOptions[];
352 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
353 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
354 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
355 
356 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
357 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
358 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
359 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
360 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
361 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
362 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
363 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
367 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
368 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
369 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
370 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
371 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
372 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
373 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
374 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
375 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
376 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
377 
378 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
384 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
385 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
388 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
389 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
390 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
391 
392 /*E
393     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
394   its numerical values copied over or just its nonzero structure.
395 
396     Level: beginner
397 
398    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
399 
400 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
401 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
402 $                               have several matrices with the same nonzero pattern.
403 
404 .seealso: MatDuplicate()
405 E*/
406 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
407 
408 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
409 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
410 
411 
412 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
413 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
414 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
418 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
419 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
420 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
421 
422 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
424 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
425 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
426 
427 /*S
428      MatInfo - Context of matrix information, used with MatGetInfo()
429 
430    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
431 
432    Level: intermediate
433 
434   Concepts: matrix^nonzero information
435 
436 .seealso:  MatGetInfo(), MatInfoType
437 S*/
438 typedef struct {
439   PetscLogDouble block_size;                         /* block size */
440   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
441   PetscLogDouble memory;                             /* memory allocated */
442   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
443   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
444   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
445   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
446 } MatInfo;
447 
448 /*E
449     MatInfoType - Indicates if you want information about the local part of the matrix,
450      the entire parallel matrix or the maximum over all the local parts.
451 
452     Level: beginner
453 
454    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
455 
456 .seealso: MatGetInfo(), MatInfo
457 E*/
458 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
459 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
460 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
461 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
464 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
465 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
466 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
467 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
468 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
469 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
470 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
471 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
472 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
473 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
474 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
475 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(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 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
523 
524 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
527 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
530 
531 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
534 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
535 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
536 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
537 
538 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
539 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
540 
541 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
542 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
543 
544 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
545 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
546 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
547 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
550 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
552 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
553 
554 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
555 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
556 
557 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
559 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
560 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
561 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
562 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
563 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
564 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
565 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
566 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
567 
568 /*MC
569    MatSetValue - Set a single entry into a matrix.
570 
571    Not collective
572 
573    Synopsis:
574      #include <petscmat.h>
575      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
576 
577    Input Parameters:
578 +  m - the matrix
579 .  row - the row location of the entry
580 .  col - the column location of the entry
581 .  value - the value to insert
582 -  mode - either INSERT_VALUES or ADD_VALUES
583 
584    Notes:
585    For efficiency one should use MatSetValues() and set several or many
586    values simultaneously if possible.
587 
588    Level: beginner
589 
590 .seealso: MatSetValues(), MatSetValueLocal()
591 M*/
592 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
593 
594 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
595 
596 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
597 
598 /*MC
599    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
600        row in a matrix providing the data that one can use to correctly preallocate the matrix.
601 
602    Synopsis:
603    #include <petscmat.h>
604    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
605 
606    Collective on MPI_Comm
607 
608    Input Parameters:
609 +  comm - the communicator that will share the eventually allocated matrix
610 .  nrows - the number of LOCAL rows in the matrix
611 -  ncols - the number of LOCAL columns in the matrix
612 
613    Output Parameters:
614 +  dnz - the array that will be passed to the matrix preallocation routines
615 -  ozn - the other array passed to the matrix preallocation routines
616 
617    Level: intermediate
618 
619    Notes:
620     See Users-Manual: ch_performance for more details.
621 
622    Do not malloc or free dnz and onz, that is handled internally by these routines
623 
624    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
625 
626    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
627 
628   Concepts: preallocation^Matrix
629 
630 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
631           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
632 M*/
633 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
634 { \
635   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
636   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
637   __start = 0; __end = __start;                                         \
638   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
639   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
640 
641 /*MC
642    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
643        inserted using a local number of the rows and columns
644 
645    Synopsis:
646    #include <petscmat.h>
647    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
648 
649    Not Collective
650 
651    Input Parameters:
652 +  map - the row mapping from local numbering to global numbering
653 .  nrows - the number of rows indicated
654 .  rows - the indices of the rows
655 .  cmap - the column mapping from local to global numbering
656 .  ncols - the number of columns in the matrix
657 .  cols - the columns indicated
658 .  dnz - the array that will be passed to the matrix preallocation routines
659 -  ozn - the other array passed to the matrix preallocation routines
660 
661    Level: intermediate
662 
663    Notes:
664     See Users-Manual: ch_performance for more details.
665 
666    Do not malloc or free dnz and onz, that is handled internally by these routines
667 
668   Concepts: preallocation^Matrix
669 
670 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
671           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
672 M*/
673 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
674 {\
675   PetscInt __l;\
676   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
677   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
678   for (__l=0;__l<nrows;__l++) {\
679     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
680   }\
681 }
682 
683 /*MC
684    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
685        inserted using a local number of the rows and columns
686 
687    Synopsis:
688    #include <petscmat.h>
689    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
690 
691    Not Collective
692 
693    Input Parameters:
694 +  map - the row mapping from local numbering to global numbering
695 .  nrows - the number of rows indicated
696 .  rows - the indices of the rows
697 .  cmap - the column mapping from local to global numbering
698 .  ncols - the number of columns in the matrix
699 .  cols - the columns indicated
700 .  dnz - the array that will be passed to the matrix preallocation routines
701 -  ozn - the other array passed to the matrix preallocation routines
702 
703    Level: intermediate
704 
705    Notes:
706     See Users-Manual: ch_performance for more details.
707 
708    Do not malloc or free dnz and onz, that is handled internally by these routines
709 
710   Concepts: preallocation^Matrix
711 
712 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
713           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
714 M*/
715 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
716 {\
717   PetscInt __l;\
718   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
719   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
720   for (__l=0;__l<nrows;__l++) {\
721     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
722   }\
723 }
724 
725 /*MC
726    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
727        inserted using a local number of the rows and columns
728 
729    Synopsis:
730    #include <petscmat.h>
731    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
732 
733    Not Collective
734 
735    Input Parameters:
736 +  map - the mapping between local numbering and global numbering
737 .  nrows - the number of rows indicated
738 .  rows - the indices of the rows
739 .  ncols - the number of columns in the matrix
740 .  cols - the columns indicated
741 .  dnz - the array that will be passed to the matrix preallocation routines
742 -  ozn - the other array passed to the matrix preallocation routines
743 
744    Level: intermediate
745 
746    Notes:
747     See Users-Manual: ch_performance for more details.
748 
749    Do not malloc or free dnz and onz that is handled internally by these routines
750 
751   Concepts: preallocation^Matrix
752 
753 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
754           MatPreallocateInitialize(),  MatPreallocateSetLocal()
755 M*/
756 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
757 {\
758   PetscInt __l;\
759   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
760   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
761   for (__l=0;__l<nrows;__l++) {\
762     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
763   }\
764 }
765 /*MC
766    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
767        inserted using a local number of the rows and columns
768 
769    Synopsis:
770    #include <petscmat.h>
771    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
772 
773    Not Collective
774 
775    Input Parameters:
776 +  row - the row
777 .  ncols - the number of columns in the matrix
778 -  cols - the columns indicated
779 
780    Output Parameters:
781 +  dnz - the array that will be passed to the matrix preallocation routines
782 -  ozn - the other array passed to the matrix preallocation routines
783 
784    Level: intermediate
785 
786    Notes:
787     See Users-Manual: ch_performance for more details.
788 
789    Do not malloc or free dnz and onz that is handled internally by these routines
790 
791    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
792 
793   Concepts: preallocation^Matrix
794 
795 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
796           MatPreallocateInitialize(), MatPreallocateSetLocal()
797 M*/
798 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
799 { PetscInt __i; \
800   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);\
801   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);\
802   for (__i=0; __i<nc; __i++) {\
803     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
804     else dnz[row - __rstart]++;\
805   }\
806 }
807 
808 /*MC
809    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
810        inserted using a local number of the rows and columns
811 
812    Synopsis:
813    #include <petscmat.h>
814    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
815 
816    Not Collective
817 
818    Input Parameters:
819 +  nrows - the number of rows indicated
820 .  rows - the indices of the rows
821 .  ncols - the number of columns in the matrix
822 .  cols - the columns indicated
823 .  dnz - the array that will be passed to the matrix preallocation routines
824 -  ozn - the other array passed to the matrix preallocation routines
825 
826    Level: intermediate
827 
828    Notes:
829     See Users-Manual: ch_performance for more details.
830 
831    Do not malloc or free dnz and onz that is handled internally by these routines
832 
833    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
834 
835   Concepts: preallocation^Matrix
836 
837 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
838           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
839 M*/
840 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
841 { PetscInt __i; \
842   for (__i=0; __i<nc; __i++) {\
843     if (cols[__i] >= __end) onz[row - __rstart]++; \
844     else if (cols[__i] >= row) dnz[row - __rstart]++;\
845   }\
846 }
847 
848 /*MC
849    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
850 
851    Synopsis:
852    #include <petscmat.h>
853    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
854 
855    Not Collective
856 
857    Input Parameters:
858 .  A - matrix
859 .  row - row where values exist (must be local to this process)
860 .  ncols - number of columns
861 .  cols - columns with nonzeros
862 .  dnz - the array that will be passed to the matrix preallocation routines
863 -  ozn - the other array passed to the matrix preallocation routines
864 
865    Level: intermediate
866 
867    Notes:
868     See Users-Manual: ch_performance for more details.
869 
870    Do not malloc or free dnz and onz that is handled internally by these routines
871 
872    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
873 
874   Concepts: preallocation^Matrix
875 
876 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
877           MatPreallocateSymmetricSetLocalBlock()
878 M*/
879 #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);}
880 
881 
882 /*MC
883    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
884        row in a matrix providing the data that one can use to correctly preallocate the matrix.
885 
886    Synopsis:
887    #include <petscmat.h>
888    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
889 
890    Collective on MPI_Comm
891 
892    Input Parameters:
893 +  dnz - the array that was be passed to the matrix preallocation routines
894 -  ozn - the other array passed to the matrix preallocation routines
895 
896    Level: intermediate
897 
898    Notes:
899     See Users-Manual: ch_performance for more details.
900 
901    Do not malloc or free dnz and onz that is handled internally by these routines
902 
903    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
904 
905   Concepts: preallocation^Matrix
906 
907 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
908           MatPreallocateSymmetricSetLocalBlock()
909 M*/
910 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
911 
912 /* Routines unique to particular data structures */
913 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
914 
915 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
916 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
917 
918 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
919 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
920 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
921 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
922 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
923 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
924 
925 #define MAT_SKIP_ALLOCATION -4
926 
927 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
928 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
929 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
930 
931 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
933 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
934 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
935 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
936 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
937 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
938 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
939 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
940 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
941 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
942 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
943 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
944 
945 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
946 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
947 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
948 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
949 
950 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
951 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
952 
953 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
954 
955 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
956 /*
957   These routines are not usually accessed directly, rather solving is
958   done through the KSP and PC interfaces.
959 */
960 
961 /*J
962     MatOrderingType - String with the name of a PETSc matrix ordering
963 
964    Level: beginner
965 
966 .seealso: MatGetOrdering()
967 J*/
968 typedef const char* MatOrderingType;
969 #define MATORDERINGNATURAL     "natural"
970 #define MATORDERINGND          "nd"
971 #define MATORDERING1WD         "1wd"
972 #define MATORDERINGRCM         "rcm"
973 #define MATORDERINGQMD         "qmd"
974 #define MATORDERINGROWLENGTH   "rowlength"
975 #define MATORDERINGWBM         "wbm"
976 #define MATORDERINGSPECTRAL    "spectral"
977 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
978 
979 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
980 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
981 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
982 PETSC_EXTERN PetscFunctionList MatOrderingList;
983 
984 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
985 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
986 
987 /*S
988     MatFactorShiftType - Numeric Shift.
989 
990    Level: beginner
991 
992 S*/
993 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
994 PETSC_EXTERN const char *const MatFactorShiftTypes[];
995 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
996 
997 /*S
998    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
999 
1000    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1001 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1002 
1003    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1004 
1005       You can use MatFactorInfoInitialize() to set default values.
1006 
1007    Level: developer
1008 
1009 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1010           MatFactorInfoInitialize()
1011 
1012 S*/
1013 typedef struct {
1014   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1015   PetscReal     usedt;
1016   PetscReal     dt;             /* drop tolerance */
1017   PetscReal     dtcol;          /* tolerance for pivoting */
1018   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1019   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1020   PetscReal     levels;         /* ICC/ILU(levels) */
1021   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1022                                    factorization may be faster if do not pivot */
1023   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1024   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1025   PetscReal     shiftamount;     /* how large the shift is */
1026 } MatFactorInfo;
1027 
1028 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1030 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1037 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1038 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1039 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1040 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1041 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1042 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1043 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1044 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1045 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1046 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1047 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1048 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1049 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1050 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1051 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1052 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1053 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1054 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1055 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
1056 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1057 
1058 /*E
1059     MatSORType - What type of (S)SOR to perform
1060 
1061     Level: beginner
1062 
1063    May be bitwise ORd together
1064 
1065    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1066 
1067    MatSORType may be bitwise ORd together, so do not change the numbers
1068 
1069 .seealso: MatSOR()
1070 E*/
1071 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1072               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1073               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1074               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1075 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1076 
1077 /*
1078     These routines are for efficiently computing Jacobians via finite differences.
1079 */
1080 
1081 /*S
1082      MatColoring - Object for managing the coloring of matrices.
1083 
1084    Level: beginner
1085 
1086   Concepts: matrix, coloring
1087 
1088 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1089 S*/
1090 typedef struct _p_MatColoring* MatColoring;
1091 /*J
1092     MatColoringType - String with the name of a PETSc matrix coloring
1093 
1094    Level: beginner
1095 
1096 .seealso: MatColoringSetType(), MatColoring
1097 J*/
1098 
1099 typedef const  char*           MatColoringType;
1100 #define MATCOLORINGJP      "jp"
1101 #define MATCOLORINGPOWER   "power"
1102 #define MATCOLORINGNATURAL "natural"
1103 #define MATCOLORINGSL      "sl"
1104 #define MATCOLORINGLF      "lf"
1105 #define MATCOLORINGID      "id"
1106 #define MATCOLORINGGREEDY  "greedy"
1107 
1108 /*E
1109    MatColoringWeightType - Type of weight scheme
1110 
1111     Not Collective
1112 
1113 +   MAT_COLORING_RANDOM  - Random weights
1114 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1115 -   MAT_COLORING_LF      - Last-first weighting.
1116 
1117     Level: intermediate
1118 
1119    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1120 
1121 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1122 E*/
1123 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1124 
1125 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1126 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1127 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1128 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1129 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1130 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1131 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1132 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1133 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1134 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1135 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1136 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1137 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1138 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1139 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1140 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1141 
1142 /*S
1143      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1144         and coloring
1145 
1146    Level: beginner
1147 
1148   Concepts: coloring, sparse Jacobian, finite differences
1149 
1150 .seealso:  MatFDColoringCreate()
1151 S*/
1152 typedef struct _p_MatFDColoring* MatFDColoring;
1153 
1154 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1155 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1156 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1157 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1158 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1159 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1160 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1161 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1162 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1163 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1164 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1165 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1166 
1167 
1168 /*S
1169      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1170 
1171    Level: beginner
1172 
1173   Concepts: coloring, sparse matrix product
1174 
1175 .seealso:  MatTransposeColoringCreate()
1176 S*/
1177 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1178 
1179 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1180 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1181 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1182 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1183 
1184 /*
1185     These routines are for partitioning matrices: currently used only
1186   for adjacency matrix, MatCreateMPIAdj().
1187 */
1188 
1189 /*S
1190      MatPartitioning - Object for managing the partitioning of a matrix or graph
1191 
1192    Level: beginner
1193 
1194   Concepts: partitioning
1195 
1196 .seealso:  MatPartitioningCreate(), MatPartitioningType
1197 S*/
1198 typedef struct _p_MatPartitioning* MatPartitioning;
1199 
1200 /*J
1201     MatPartitioningType - String with the name of a PETSc matrix partitioning
1202 
1203    Level: beginner
1204 dm
1205 .seealso: MatPartitioningCreate(), MatPartitioning
1206 J*/
1207 typedef const char* MatPartitioningType;
1208 #define MATPARTITIONINGCURRENT  "current"
1209 #define MATPARTITIONINGAVERAGE   "average"
1210 #define MATPARTITIONINGSQUARE   "square"
1211 #define MATPARTITIONINGPARMETIS "parmetis"
1212 #define MATPARTITIONINGCHACO    "chaco"
1213 #define MATPARTITIONINGPARTY    "party"
1214 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1215 #define MATPARTITIONINGHIERARCH  "hierarch"
1216 
1217 
1218 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1219 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1221 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1222 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1223 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1224 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1225 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1226 
1227 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1228 
1229 
1230 
1231 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1234 
1235 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1238 
1239 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1240 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1241 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1242 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1243 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1244 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1245 
1246 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1247 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1248 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1249 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1250 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1251 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1252 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1253 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1254 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1255 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1256 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1257 
1258 #define MP_PARTY_OPT "opt"
1259 #define MP_PARTY_LIN "lin"
1260 #define MP_PARTY_SCA "sca"
1261 #define MP_PARTY_RAN "ran"
1262 #define MP_PARTY_GBF "gbf"
1263 #define MP_PARTY_GCF "gcf"
1264 #define MP_PARTY_BUB "bub"
1265 #define MP_PARTY_DEF "def"
1266 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1267 #define MP_PARTY_HELPFUL_SETS "hs"
1268 #define MP_PARTY_KERNIGHAN_LIN "kl"
1269 #define MP_PARTY_NONE "no"
1270 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1271 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1272 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1273 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1274 
1275 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1276 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1277 
1278 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1279 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1280 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1281 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1282 
1283 /*
1284  * hierarchical partitioning
1285  */
1286 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1287 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1288 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1289 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1290 
1291 /*
1292     These routines are for coarsening matrices:
1293 */
1294 
1295 /*S
1296      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1297 
1298    Level: beginner
1299 
1300   Concepts: coarsen
1301 
1302 .seealso:  MatCoarsenCreate), MatCoarsenType
1303 S*/
1304 typedef struct _p_MatCoarsen* MatCoarsen;
1305 
1306 /*J
1307     MatCoarsenType - String with the name of a PETSc matrix coarsen
1308 
1309    Level: beginner
1310 
1311 .seealso: MatCoarsenCreate(), MatCoarsen
1312 J*/
1313 typedef const char* MatCoarsenType;
1314 #define MATCOARSENMIS  "mis"
1315 #define MATCOARSENHEM  "hem"
1316 
1317 /* linked list for aggregates */
1318 typedef struct _PetscCDIntNd{
1319   struct _PetscCDIntNd *next;
1320   PetscInt             gid;
1321 }PetscCDIntNd;
1322 
1323 /* only used by node pool */
1324 typedef struct _PetscCDArrNd{
1325   struct _PetscCDArrNd *next;
1326   struct _PetscCDIntNd *array;
1327 }PetscCDArrNd;
1328 
1329 typedef struct _PetscCoarsenData{
1330   PetscCDArrNd pool_list;  /* node pool */
1331   PetscCDIntNd *new_node;
1332   PetscInt     new_left;
1333   PetscInt     chk_sz;
1334   PetscCDIntNd *extra_nodes;
1335   PetscCDIntNd **array;  /* Array of lists */
1336   PetscInt     size;
1337   Mat          mat;  /* cache a Mat for communication data */
1338 }PetscCoarsenData;
1339 
1340 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1341 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1342 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1343 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1344 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1345 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1346 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1347 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1348 
1349 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1350 
1351 
1352 
1353 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1354 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1355 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1356 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
1357 
1358 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1359 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1360 
1361 /*
1362     If you add entries here you must also add them to petsc/finclude/petscmat.h
1363 */
1364 typedef enum { MATOP_SET_VALUES=0,
1365                MATOP_GET_ROW=1,
1366                MATOP_RESTORE_ROW=2,
1367                MATOP_MULT=3,
1368                MATOP_MULT_ADD=4,
1369                MATOP_MULT_TRANSPOSE=5,
1370                MATOP_MULT_TRANSPOSE_ADD=6,
1371                MATOP_SOLVE=7,
1372                MATOP_SOLVE_ADD=8,
1373                MATOP_SOLVE_TRANSPOSE=9,
1374                MATOP_SOLVE_TRANSPOSE_ADD=10,
1375                MATOP_LUFACTOR=11,
1376                MATOP_CHOLESKYFACTOR=12,
1377                MATOP_SOR=13,
1378                MATOP_TRANSPOSE=14,
1379                MATOP_GETINFO=15,
1380                MATOP_EQUAL=16,
1381                MATOP_GET_DIAGONAL=17,
1382                MATOP_DIAGONAL_SCALE=18,
1383                MATOP_NORM=19,
1384                MATOP_ASSEMBLY_BEGIN=20,
1385                MATOP_ASSEMBLY_END=21,
1386                MATOP_SET_OPTION=22,
1387                MATOP_ZERO_ENTRIES=23,
1388                MATOP_ZERO_ROWS=24,
1389                MATOP_LUFACTOR_SYMBOLIC=25,
1390                MATOP_LUFACTOR_NUMERIC=26,
1391                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1392                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1393                MATOP_SETUP_PREALLOCATION=29,
1394                MATOP_ILUFACTOR_SYMBOLIC=30,
1395                MATOP_ICCFACTOR_SYMBOLIC=31,
1396                /* MATOP_PLACEHOLDER_32=32, */
1397                /* MATOP_PLACEHOLDER_33=33, */
1398                MATOP_DUPLICATE=34,
1399                MATOP_FORWARD_SOLVE=35,
1400                MATOP_BACKWARD_SOLVE=36,
1401                MATOP_ILUFACTOR=37,
1402                MATOP_ICCFACTOR=38,
1403                MATOP_AXPY=39,
1404                MATOP_GET_SUBMATRICES=40,
1405                MATOP_INCREASE_OVERLAP=41,
1406                MATOP_GET_VALUES=42,
1407                MATOP_COPY=43,
1408                MATOP_GET_ROW_MAX=44,
1409                MATOP_SCALE=45,
1410                MATOP_SHIFT=46,
1411                MATOP_DIAGONAL_SET=47,
1412                MATOP_ZERO_ROWS_COLUMNS=48,
1413                MATOP_SET_RANDOM=49,
1414                MATOP_GET_ROW_IJ=50,
1415                MATOP_RESTORE_ROW_IJ=51,
1416                MATOP_GET_COLUMN_IJ=52,
1417                MATOP_RESTORE_COLUMN_IJ=53,
1418                MATOP_FDCOLORING_CREATE=54,
1419                MATOP_COLORING_PATCH=55,
1420                MATOP_SET_UNFACTORED=56,
1421                MATOP_PERMUTE=57,
1422                MATOP_SET_VALUES_BLOCKED=58,
1423                MATOP_GET_SUBMATRIX=59,
1424                MATOP_DESTROY=60,
1425                MATOP_VIEW=61,
1426                MATOP_CONVERT_FROM=62,
1427                MATOP_MATMAT_MULT=63,
1428                MATOP_MATMAT_MULT_SYMBOLIC=64,
1429                MATOP_MATMAT_MULT_NUMERIC=65,
1430                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1431                MATOP_SET_VALUES_LOCAL=67,
1432                MATOP_ZERO_ROWS_LOCAL=68,
1433                MATOP_GET_ROW_MAX_ABS=69,
1434                MATOP_GET_ROW_MIN_ABS=70,
1435                MATOP_CONVERT=71,
1436                MATOP_SET_COLORING=72,
1437                /* MATOP_PLACEHOLDER_73=73, */
1438                MATOP_SET_VALUES_ADIFOR=74,
1439                MATOP_FD_COLORING_APPLY=75,
1440                MATOP_SET_FROM_OPTIONS=76,
1441                MATOP_MULT_CONSTRAINED=77,
1442                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1443                MATOP_FIND_ZERO_DIAGONALS=79,
1444                MATOP_MULT_MULTIPLE=80,
1445                MATOP_SOLVE_MULTIPLE=81,
1446                MATOP_GET_INERTIA=82,
1447                MATOP_LOAD=83,
1448                MATOP_IS_SYMMETRIC=84,
1449                MATOP_IS_HERMITIAN=85,
1450                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1451                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1452                MATOP_GET_VECS=88,
1453                MATOP_MAT_MULT=89,
1454                MATOP_MAT_MULT_SYMBOLIC=90,
1455                MATOP_MAT_MULT_NUMERIC=91,
1456                MATOP_PTAP=92,
1457                MATOP_PTAP_SYMBOLIC=93,
1458                MATOP_PTAP_NUMERIC=94,
1459                MATOP_MAT_TRANSPOSE_MULT=95,
1460                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1461                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1462                /* MATOP_PLACEHOLDER_98=98, */
1463                /* MATOP_PLACEHOLDER_99=99, */
1464                /* MATOP_PLACEHOLDER_100=100, */
1465                /* MATOP_PLACEHOLDER_101=101, */
1466                MATOP_CONJUGATE=102,
1467                /* MATOP_PLACEHOLDER_103=103, */
1468                MATOP_SET_VALUES_ROW=104,
1469                MATOP_REAL_PART=105,
1470                MATOP_IMAGINARY_PART=106,
1471                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1472                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1473                MATOP_MAT_SOLVE=109,
1474                MATOP_GET_REDUNDANT_MATRIX=110,
1475                MATOP_GET_ROW_MIN=111,
1476                MATOP_GET_COLUMN_VECTOR=112,
1477                MATOP_MISSING_DIAGONAL=113,
1478                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1479                MATOP_CREATE=115,
1480                MATOP_GET_GHOSTS=116,
1481                MATOP_GET_LOCAL_SUB_MATRIX=117,
1482                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1483                MATOP_MULT_DIAGONAL_BLOCK=119,
1484                MATOP_HERMITIAN_TRANSPOSE=120,
1485                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1486                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1487                MATOP_GET_MULTI_PROC_BLOCK=123,
1488                MATOP_FIND_NONZERO_ROWS=124,
1489                MATOP_GET_COLUMN_NORMS=125,
1490                MATOP_INVERT_BLOCK_DIAGONAL=126,
1491                /* MATOP_PLACEHOLDER_127=127, */
1492                MATOP_GET_SUB_MATRICES_PARALLE=128,
1493                MATOP_SET_VALUES_BATCH=129,
1494                MATOP_TRANSPOSE_MAT_MULT=130,
1495                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1496                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1497                MATOP_TRANSPOSE_COLORING_CREAT=133,
1498                MATOP_TRANS_COLORING_APPLY_SPT=134,
1499                MATOP_TRANS_COLORING_APPLY_DEN=135,
1500                MATOP_RART=136,
1501                MATOP_RART_SYMBOLIC=137,
1502                MATOP_RART_NUMERIC=138,
1503                MATOP_SET_BLOCK_SIZES=139,
1504                MATOP_AYPX=140,
1505                MATOP_RESIDUAL=141,
1506                MATOP_FDCOLORING_SETUP=142,
1507                MATOP_MPICONCATENATESEQ=144
1508              } MatOperation;
1509 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1510 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1511 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1512 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1513 
1514 /*
1515    Codes for matrices stored on disk. By default they are
1516    stored in a universal format. By changing the format with
1517    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1518    be stored in a way natural for the matrix, for example dense matrices
1519    would be stored as dense. Matrices stored this way may only be
1520    read into matrices of the same type.
1521 */
1522 #define MATRIX_BINARY_FORMAT_DENSE -1
1523 
1524 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1525 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1526 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1527 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1528 
1529 /*S
1530      MatNullSpace - Object that removes a null space from a vector, i.e.
1531          orthogonalizes the vector to a subsapce
1532 
1533    Level: advanced
1534 
1535   Concepts: matrix; linear operator, null space
1536 
1537   Users manual sections:
1538 .   sec_singular
1539 
1540 .seealso:  MatNullSpaceCreate()
1541 S*/
1542 typedef struct _p_MatNullSpace* MatNullSpace;
1543 
1544 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1545 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1546 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1547 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1548 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1549 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1550 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1551 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1552 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1553 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1554 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1555 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1556 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1557 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1558 
1559 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1560 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1561 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1562 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1563 
1564 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1565 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1566 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1567 
1568 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1569 
1570 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1571 
1572 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1573 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1574 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1575 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1576 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1577 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1578 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1579 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1580 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1581 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1582 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1583 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1584 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1585 
1586 /*S
1587     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1588               Jacobian vector products
1589 
1590     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1591 
1592            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1593 
1594     Level: developer
1595 
1596 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1597 S*/
1598 typedef struct _p_MatMFFD* MatMFFD;
1599 
1600 /*J
1601     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1602 
1603    Level: beginner
1604 
1605 .seealso: MatMFFDSetType(), MatMFFDRegister()
1606 J*/
1607 typedef const char* MatMFFDType;
1608 #define MATMFFD_DS  "ds"
1609 #define MATMFFD_WP  "wp"
1610 
1611 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1612 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1613 
1614 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1615 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1616 
1617 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1618 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1619 
1620 /*
1621    PETSc interface to MUMPS
1622 */
1623 #ifdef PETSC_HAVE_MUMPS
1624 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1625 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1626 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1627 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1628 
1629 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1630 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1631 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1632 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1633 #endif
1634 
1635 /*
1636    PETSc interface to Mkl_Pardiso
1637 */
1638 #ifdef PETSC_HAVE_MKL_PARDISO
1639 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1640 #endif
1641 
1642 /*
1643    PETSc interface to Mkl_CPardiso
1644 */
1645 #ifdef PETSC_HAVE_MKL_CPARDISO
1646 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1647 #endif
1648 
1649 /*
1650    PETSc interface to SUPERLU
1651 */
1652 #ifdef PETSC_HAVE_SUPERLU
1653 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1654 #endif
1655 
1656 #ifdef PETSC_HAVE_CUDA
1657 /*E
1658     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1659     matrices.
1660 
1661     Not Collective
1662 
1663 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1664 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1665 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1666 
1667     Level: intermediate
1668 
1669    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1670 
1671 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1672 E*/
1673 
1674 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1675 
1676 /* these will be strings associated with enumerated type defined above */
1677 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1678 
1679 /*E
1680     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1681     matrices whose operation should use a particular storage format.
1682 
1683     Not Collective
1684 
1685 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1686 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1687 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1688 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1689 
1690     Level: intermediate
1691 
1692 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1693 E*/
1694 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1695 
1696 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1697 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1698 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1699 #endif
1700 
1701 #if defined(PETSC_HAVE_CUSP)
1702 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1703 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1704 
1705 /*E
1706     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1707     matrices.
1708 
1709     Not Collective
1710 
1711 +   MAT_CUSP_CSR - Compressed Sparse Row
1712 .   MAT_CUSP_DIA - Diagonal
1713 -   MAT_CUSP_ELL - Ellpack
1714 
1715     Level: intermediate
1716 
1717    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1718 
1719 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1720 E*/
1721 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1722 
1723 /* these will be strings associated with enumerated type defined above */
1724 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1725 
1726 /*E
1727     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1728     matrices whose operation should use a particular storage format.
1729 
1730     Not Collective
1731 
1732 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1733 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1734 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1735 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1736 
1737     Level: intermediate
1738 
1739    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1740 
1741 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1742 E*/
1743 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1744 
1745 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1746 #endif
1747 
1748 #if defined(PETSC_HAVE_VIENNACL)
1749 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1750 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1751 #endif
1752 
1753 /*
1754    PETSc interface to FFTW
1755 */
1756 #if defined(PETSC_HAVE_FFTW)
1757 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1758 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1759 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1760 #endif
1761 
1762 /*
1763    PETSc interface to ELEMENTAL
1764 */
1765 #if defined(PETSC_HAVE_ELEMENTAL)
1766 #if defined(PETSC_USE_COMPLEX)
1767 typedef El::Complex<PetscReal> PetscElemScalar;
1768 #else
1769 typedef PetscScalar PetscElemScalar;
1770 #endif
1771 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1772 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1773 #endif
1774 
1775 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1776 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1777 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1778 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1779 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1780 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1781 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1782 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1783 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1784 
1785 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1786 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1787 
1788 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1789 
1790 #endif
1791