xref: /petsc/include/petscmat.h (revision c3d89e0aef1fb8977d2f9d367fc4b91cc47aeb54)
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,MAT_INPLACE_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 MatSetErrorIfFailure(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 
472 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
473 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
474 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
475 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
476 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
477 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
478 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
479 
480 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
481 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
482 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
483 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
484 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
485 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
486 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
487 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
488 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
489 
490 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
491 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
492 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
493 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
494 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
495 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
496 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
497 
498 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
499 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
500 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
501 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
502 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
503 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
504 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
505 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
506 
507 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
508 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
509 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
510 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
511 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
512 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
513 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
514 
515 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
516 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
517 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
518 
519 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
522 
523 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
526 
527 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
530 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
533 
534 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
535 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
536 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
537 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
538 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
539 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
540 
541 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
542 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
543 
544 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
545 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
546 
547 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
548 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
549 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
550 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
552 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
555 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
556 
557 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
558 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
559 
560 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
561 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
562 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
563 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
564 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
565 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
566 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
567 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
568 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
569 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
570 
571 /*MC
572    MatSetValue - Set a single entry into a matrix.
573 
574    Not collective
575 
576    Synopsis:
577      #include <petscmat.h>
578      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
579 
580    Input Parameters:
581 +  m - the matrix
582 .  row - the row location of the entry
583 .  col - the column location of the entry
584 .  value - the value to insert
585 -  mode - either INSERT_VALUES or ADD_VALUES
586 
587    Notes:
588    For efficiency one should use MatSetValues() and set several or many
589    values simultaneously if possible.
590 
591    Level: beginner
592 
593 .seealso: MatSetValues(), MatSetValueLocal()
594 M*/
595 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
596 
597 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
598 
599 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
600 
601 /*MC
602    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
603        row in a matrix providing the data that one can use to correctly preallocate the matrix.
604 
605    Synopsis:
606    #include <petscmat.h>
607    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
608 
609    Collective on MPI_Comm
610 
611    Input Parameters:
612 +  comm - the communicator that will share the eventually allocated matrix
613 .  nrows - the number of LOCAL rows in the matrix
614 -  ncols - the number of LOCAL columns in the matrix
615 
616    Output Parameters:
617 +  dnz - the array that will be passed to the matrix preallocation routines
618 -  ozn - the other array passed to the matrix preallocation routines
619 
620    Level: intermediate
621 
622    Notes:
623     See Users-Manual: ch_performance for more details.
624 
625    Do not malloc or free dnz and onz, that is handled internally by these routines
626 
627    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
628 
629    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
630 
631   Concepts: preallocation^Matrix
632 
633 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
634           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
635 M*/
636 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
637 { \
638   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
639   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
640   __start = 0; __end = __start;                                         \
641   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
642   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
643 
644 /*MC
645    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
646        inserted using a local number of the rows and columns
647 
648    Synopsis:
649    #include <petscmat.h>
650    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
651 
652    Not Collective
653 
654    Input Parameters:
655 +  map - the row mapping from local numbering to global numbering
656 .  nrows - the number of rows indicated
657 .  rows - the indices of the rows
658 .  cmap - the column mapping from local to global numbering
659 .  ncols - the number of columns in the matrix
660 .  cols - the columns indicated
661 .  dnz - the array that will be passed to the matrix preallocation routines
662 -  ozn - the other array passed to the matrix preallocation routines
663 
664    Level: intermediate
665 
666    Notes:
667     See Users-Manual: ch_performance for more details.
668 
669    Do not malloc or free dnz and onz, that is handled internally by these routines
670 
671   Concepts: preallocation^Matrix
672 
673 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
674           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
675 M*/
676 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
677 {\
678   PetscInt __l;\
679   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
680   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
681   for (__l=0;__l<nrows;__l++) {\
682     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
683   }\
684 }
685 
686 /*MC
687    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
688        inserted using a local number of the rows and columns
689 
690    Synopsis:
691    #include <petscmat.h>
692    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
693 
694    Not Collective
695 
696    Input Parameters:
697 +  map - the row mapping from local numbering to global numbering
698 .  nrows - the number of rows indicated
699 .  rows - the indices of the rows
700 .  cmap - the column mapping from local to global numbering
701 .  ncols - the number of columns in the matrix
702 .  cols - the columns indicated
703 .  dnz - the array that will be passed to the matrix preallocation routines
704 -  ozn - the other array passed to the matrix preallocation routines
705 
706    Level: intermediate
707 
708    Notes:
709     See Users-Manual: ch_performance for more details.
710 
711    Do not malloc or free dnz and onz, that is handled internally by these routines
712 
713   Concepts: preallocation^Matrix
714 
715 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
716           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
717 M*/
718 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
719 {\
720   PetscInt __l;\
721   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
722   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
723   for (__l=0;__l<nrows;__l++) {\
724     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
725   }\
726 }
727 
728 /*MC
729    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
730        inserted using a local number of the rows and columns
731 
732    Synopsis:
733    #include <petscmat.h>
734    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
735 
736    Not Collective
737 
738    Input Parameters:
739 +  map - the mapping between local numbering and global numbering
740 .  nrows - the number of rows indicated
741 .  rows - the indices of the rows
742 .  ncols - the number of columns in the matrix
743 .  cols - the columns indicated
744 .  dnz - the array that will be passed to the matrix preallocation routines
745 -  ozn - the other array passed to the matrix preallocation routines
746 
747    Level: intermediate
748 
749    Notes:
750     See Users-Manual: ch_performance for more details.
751 
752    Do not malloc or free dnz and onz that is handled internally by these routines
753 
754   Concepts: preallocation^Matrix
755 
756 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
757           MatPreallocateInitialize(),  MatPreallocateSetLocal()
758 M*/
759 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
760 {\
761   PetscInt __l;\
762   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
763   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
764   for (__l=0;__l<nrows;__l++) {\
765     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
766   }\
767 }
768 /*MC
769    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
770        inserted using a local number of the rows and columns
771 
772    Synopsis:
773    #include <petscmat.h>
774    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
775 
776    Not Collective
777 
778    Input Parameters:
779 +  row - the row
780 .  ncols - the number of columns in the matrix
781 -  cols - the columns indicated
782 
783    Output Parameters:
784 +  dnz - the array that will be passed to the matrix preallocation routines
785 -  ozn - the other array passed to the matrix preallocation routines
786 
787    Level: intermediate
788 
789    Notes:
790     See Users-Manual: ch_performance for more details.
791 
792    Do not malloc or free dnz and onz that is handled internally by these routines
793 
794    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
795 
796   Concepts: preallocation^Matrix
797 
798 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
799           MatPreallocateInitialize(), MatPreallocateSetLocal()
800 M*/
801 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
802 { PetscInt __i; \
803   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);\
804   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);\
805   for (__i=0; __i<nc; __i++) {\
806     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
807     else dnz[row - __rstart]++;\
808   }\
809 }
810 
811 /*MC
812    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
813        inserted using a local number of the rows and columns
814 
815    Synopsis:
816    #include <petscmat.h>
817    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
818 
819    Not Collective
820 
821    Input Parameters:
822 +  nrows - the number of rows indicated
823 .  rows - the indices of the rows
824 .  ncols - the number of columns in the matrix
825 .  cols - the columns indicated
826 .  dnz - the array that will be passed to the matrix preallocation routines
827 -  ozn - the other array passed to the matrix preallocation routines
828 
829    Level: intermediate
830 
831    Notes:
832     See Users-Manual: ch_performance for more details.
833 
834    Do not malloc or free dnz and onz that is handled internally by these routines
835 
836    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
837 
838   Concepts: preallocation^Matrix
839 
840 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
841           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
842 M*/
843 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
844 { PetscInt __i; \
845   for (__i=0; __i<nc; __i++) {\
846     if (cols[__i] >= __end) onz[row - __rstart]++; \
847     else if (cols[__i] >= row) dnz[row - __rstart]++;\
848   }\
849 }
850 
851 /*MC
852    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
853 
854    Synopsis:
855    #include <petscmat.h>
856    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
857 
858    Not Collective
859 
860    Input Parameters:
861 .  A - matrix
862 .  row - row where values exist (must be local to this process)
863 .  ncols - number of columns
864 .  cols - columns with nonzeros
865 .  dnz - the array that will be passed to the matrix preallocation routines
866 -  ozn - the other array passed to the matrix preallocation routines
867 
868    Level: intermediate
869 
870    Notes:
871     See Users-Manual: ch_performance for more details.
872 
873    Do not malloc or free dnz and onz that is handled internally by these routines
874 
875    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
876 
877   Concepts: preallocation^Matrix
878 
879 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
880           MatPreallocateSymmetricSetLocalBlock()
881 M*/
882 #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);}
883 
884 
885 /*MC
886    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
887        row in a matrix providing the data that one can use to correctly preallocate the matrix.
888 
889    Synopsis:
890    #include <petscmat.h>
891    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
892 
893    Collective on MPI_Comm
894 
895    Input Parameters:
896 +  dnz - the array that was be passed to the matrix preallocation routines
897 -  ozn - the other array passed to the matrix preallocation routines
898 
899    Level: intermediate
900 
901    Notes:
902     See Users-Manual: ch_performance for more details.
903 
904    Do not malloc or free dnz and onz that is handled internally by these routines
905 
906    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
907 
908   Concepts: preallocation^Matrix
909 
910 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
911           MatPreallocateSymmetricSetLocalBlock()
912 M*/
913 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
914 
915 /* Routines unique to particular data structures */
916 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
917 
918 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
919 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
920 
921 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
922 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
923 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
924 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
925 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
926 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
927 
928 #define MAT_SKIP_ALLOCATION -4
929 
930 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
931 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
933 
934 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
935 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
936 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
937 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
938 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
939 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
940 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
941 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
942 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
943 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
944 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
945 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
946 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
947 
948 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
949 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
950 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
951 
952 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
953 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
954 
955 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
956 
957 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
958 /*
959   These routines are not usually accessed directly, rather solving is
960   done through the KSP and PC interfaces.
961 */
962 
963 /*J
964     MatOrderingType - String with the name of a PETSc matrix ordering
965 
966    Level: beginner
967 
968 .seealso: MatGetOrdering()
969 J*/
970 typedef const char* MatOrderingType;
971 #define MATORDERINGNATURAL     "natural"
972 #define MATORDERINGND          "nd"
973 #define MATORDERING1WD         "1wd"
974 #define MATORDERINGRCM         "rcm"
975 #define MATORDERINGQMD         "qmd"
976 #define MATORDERINGROWLENGTH   "rowlength"
977 #define MATORDERINGWBM         "wbm"
978 #define MATORDERINGSPECTRAL    "spectral"
979 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
980 
981 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
982 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
983 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
984 PETSC_EXTERN PetscFunctionList MatOrderingList;
985 
986 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
987 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
988 
989 /*S
990     MatFactorShiftType - Numeric Shift.
991 
992    Level: beginner
993 
994 S*/
995 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
996 PETSC_EXTERN const char *const MatFactorShiftTypes[];
997 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
998 
999 /*S
1000     MatFactorError - indicates what type of error in matrix factor
1001 
1002     Level: beginner
1003 
1004     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1005 S*/
1006 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1007 
1008 /*S
1009    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1010 
1011    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1012 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1013 
1014    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1015 
1016       You can use MatFactorInfoInitialize() to set default values.
1017 
1018    Level: developer
1019 
1020 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1021           MatFactorInfoInitialize()
1022 
1023 S*/
1024 typedef struct {
1025   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1026   PetscReal     usedt;
1027   PetscReal     dt;             /* drop tolerance */
1028   PetscReal     dtcol;          /* tolerance for pivoting */
1029   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1030   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1031   PetscReal     levels;         /* ICC/ILU(levels) */
1032   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1033                                    factorization may be faster if do not pivot */
1034   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1035   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1036   PetscReal     shiftamount;     /* how large the shift is */
1037 } MatFactorInfo;
1038 
1039 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1040 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1041 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1042 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1043 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1044 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1045 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1046 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1047 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1048 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1049 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1050 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1051 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1052 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1053 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1054 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1055 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1056 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1057 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1058 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1059 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1060 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1061 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1062 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1063 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1064 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1065 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1066 
1067 /*E
1068     MatSORType - What type of (S)SOR to perform
1069 
1070     Level: beginner
1071 
1072    May be bitwise ORd together
1073 
1074    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1075 
1076    MatSORType may be bitwise ORd together, so do not change the numbers
1077 
1078 .seealso: MatSOR()
1079 E*/
1080 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1081               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1082               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1083               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1084 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1085 
1086 /*
1087     These routines are for efficiently computing Jacobians via finite differences.
1088 */
1089 
1090 /*S
1091      MatColoring - Object for managing the coloring of matrices.
1092 
1093    Level: beginner
1094 
1095   Concepts: matrix, coloring
1096 
1097 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1098 S*/
1099 typedef struct _p_MatColoring* MatColoring;
1100 /*J
1101     MatColoringType - String with the name of a PETSc matrix coloring
1102 
1103    Level: beginner
1104 
1105 .seealso: MatColoringSetType(), MatColoring
1106 J*/
1107 
1108 typedef const  char*           MatColoringType;
1109 #define MATCOLORINGJP      "jp"
1110 #define MATCOLORINGPOWER   "power"
1111 #define MATCOLORINGNATURAL "natural"
1112 #define MATCOLORINGSL      "sl"
1113 #define MATCOLORINGLF      "lf"
1114 #define MATCOLORINGID      "id"
1115 #define MATCOLORINGGREEDY  "greedy"
1116 
1117 /*E
1118    MatColoringWeightType - Type of weight scheme
1119 
1120     Not Collective
1121 
1122 +   MAT_COLORING_RANDOM  - Random weights
1123 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1124 -   MAT_COLORING_LF      - Last-first weighting.
1125 
1126     Level: intermediate
1127 
1128    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1129 
1130 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1131 E*/
1132 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1133 
1134 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1135 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1136 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1137 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1138 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1139 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1140 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1141 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1142 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1143 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1144 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1145 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1146 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1147 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1148 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1149 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1150 
1151 /*S
1152      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1153         and coloring
1154 
1155    Level: beginner
1156 
1157   Concepts: coloring, sparse Jacobian, finite differences
1158 
1159 .seealso:  MatFDColoringCreate()
1160 S*/
1161 typedef struct _p_MatFDColoring* MatFDColoring;
1162 
1163 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1164 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1165 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1166 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1167 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1168 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1169 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1170 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1171 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1172 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1173 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1174 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1175 
1176 
1177 /*S
1178      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1179 
1180    Level: beginner
1181 
1182   Concepts: coloring, sparse matrix product
1183 
1184 .seealso:  MatTransposeColoringCreate()
1185 S*/
1186 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1187 
1188 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1189 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1190 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1191 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1192 
1193 /*
1194     These routines are for partitioning matrices: currently used only
1195   for adjacency matrix, MatCreateMPIAdj().
1196 */
1197 
1198 /*S
1199      MatPartitioning - Object for managing the partitioning of a matrix or graph
1200 
1201    Level: beginner
1202 
1203   Concepts: partitioning
1204 
1205 .seealso:  MatPartitioningCreate(), MatPartitioningType
1206 S*/
1207 typedef struct _p_MatPartitioning* MatPartitioning;
1208 
1209 /*J
1210     MatPartitioningType - String with the name of a PETSc matrix partitioning
1211 
1212    Level: beginner
1213 dm
1214 .seealso: MatPartitioningCreate(), MatPartitioning
1215 J*/
1216 typedef const char* MatPartitioningType;
1217 #define MATPARTITIONINGCURRENT  "current"
1218 #define MATPARTITIONINGAVERAGE   "average"
1219 #define MATPARTITIONINGSQUARE   "square"
1220 #define MATPARTITIONINGPARMETIS "parmetis"
1221 #define MATPARTITIONINGCHACO    "chaco"
1222 #define MATPARTITIONINGPARTY    "party"
1223 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1224 #define MATPARTITIONINGHIERARCH  "hierarch"
1225 
1226 
1227 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1228 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1229 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1230 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1231 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1235 
1236 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1237 
1238 
1239 
1240 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1241 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1243 
1244 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1245 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1246 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1247 
1248 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1249 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1250 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1251 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1252 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1253 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1254 
1255 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1256 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1257 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1258 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1259 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1260 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1261 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1262 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1263 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1264 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1265 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1266 
1267 #define MP_PARTY_OPT "opt"
1268 #define MP_PARTY_LIN "lin"
1269 #define MP_PARTY_SCA "sca"
1270 #define MP_PARTY_RAN "ran"
1271 #define MP_PARTY_GBF "gbf"
1272 #define MP_PARTY_GCF "gcf"
1273 #define MP_PARTY_BUB "bub"
1274 #define MP_PARTY_DEF "def"
1275 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1276 #define MP_PARTY_HELPFUL_SETS "hs"
1277 #define MP_PARTY_KERNIGHAN_LIN "kl"
1278 #define MP_PARTY_NONE "no"
1279 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1280 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1281 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1282 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1283 
1284 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1285 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1286 
1287 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1288 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1289 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1290 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1291 
1292 /*
1293  * hierarchical partitioning
1294  */
1295 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1296 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1297 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1298 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1299 
1300 /*
1301     These routines are for coarsening matrices:
1302 */
1303 
1304 /*S
1305      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1306 
1307    Level: beginner
1308 
1309   Concepts: coarsen
1310 
1311 .seealso:  MatCoarsenCreate), MatCoarsenType
1312 S*/
1313 typedef struct _p_MatCoarsen* MatCoarsen;
1314 
1315 /*J
1316     MatCoarsenType - String with the name of a PETSc matrix coarsen
1317 
1318    Level: beginner
1319 
1320 .seealso: MatCoarsenCreate(), MatCoarsen
1321 J*/
1322 typedef const char* MatCoarsenType;
1323 #define MATCOARSENMIS  "mis"
1324 #define MATCOARSENHEM  "hem"
1325 
1326 /* linked list for aggregates */
1327 typedef struct _PetscCDIntNd{
1328   struct _PetscCDIntNd *next;
1329   PetscInt             gid;
1330 }PetscCDIntNd;
1331 
1332 /* only used by node pool */
1333 typedef struct _PetscCDArrNd{
1334   struct _PetscCDArrNd *next;
1335   struct _PetscCDIntNd *array;
1336 }PetscCDArrNd;
1337 
1338 typedef struct _PetscCoarsenData{
1339   PetscCDArrNd pool_list;  /* node pool */
1340   PetscCDIntNd *new_node;
1341   PetscInt     new_left;
1342   PetscInt     chk_sz;
1343   PetscCDIntNd *extra_nodes;
1344   PetscCDIntNd **array;  /* Array of lists */
1345   PetscInt     size;
1346   Mat          mat;  /* cache a Mat for communication data */
1347 }PetscCoarsenData;
1348 
1349 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1350 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1351 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1352 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1353 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1354 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1355 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1356 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1357 
1358 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1359 
1360 
1361 
1362 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1363 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1364 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1365 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
1366 
1367 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1368 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1369 
1370 /*
1371     If you add entries here you must also add them to petsc/finclude/petscmat.h
1372 */
1373 typedef enum { MATOP_SET_VALUES=0,
1374                MATOP_GET_ROW=1,
1375                MATOP_RESTORE_ROW=2,
1376                MATOP_MULT=3,
1377                MATOP_MULT_ADD=4,
1378                MATOP_MULT_TRANSPOSE=5,
1379                MATOP_MULT_TRANSPOSE_ADD=6,
1380                MATOP_SOLVE=7,
1381                MATOP_SOLVE_ADD=8,
1382                MATOP_SOLVE_TRANSPOSE=9,
1383                MATOP_SOLVE_TRANSPOSE_ADD=10,
1384                MATOP_LUFACTOR=11,
1385                MATOP_CHOLESKYFACTOR=12,
1386                MATOP_SOR=13,
1387                MATOP_TRANSPOSE=14,
1388                MATOP_GETINFO=15,
1389                MATOP_EQUAL=16,
1390                MATOP_GET_DIAGONAL=17,
1391                MATOP_DIAGONAL_SCALE=18,
1392                MATOP_NORM=19,
1393                MATOP_ASSEMBLY_BEGIN=20,
1394                MATOP_ASSEMBLY_END=21,
1395                MATOP_SET_OPTION=22,
1396                MATOP_ZERO_ENTRIES=23,
1397                MATOP_ZERO_ROWS=24,
1398                MATOP_LUFACTOR_SYMBOLIC=25,
1399                MATOP_LUFACTOR_NUMERIC=26,
1400                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1401                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1402                MATOP_SETUP_PREALLOCATION=29,
1403                MATOP_ILUFACTOR_SYMBOLIC=30,
1404                MATOP_ICCFACTOR_SYMBOLIC=31,
1405                /* MATOP_PLACEHOLDER_32=32, */
1406                /* MATOP_PLACEHOLDER_33=33, */
1407                MATOP_DUPLICATE=34,
1408                MATOP_FORWARD_SOLVE=35,
1409                MATOP_BACKWARD_SOLVE=36,
1410                MATOP_ILUFACTOR=37,
1411                MATOP_ICCFACTOR=38,
1412                MATOP_AXPY=39,
1413                MATOP_GET_SUBMATRICES=40,
1414                MATOP_INCREASE_OVERLAP=41,
1415                MATOP_GET_VALUES=42,
1416                MATOP_COPY=43,
1417                MATOP_GET_ROW_MAX=44,
1418                MATOP_SCALE=45,
1419                MATOP_SHIFT=46,
1420                MATOP_DIAGONAL_SET=47,
1421                MATOP_ZERO_ROWS_COLUMNS=48,
1422                MATOP_SET_RANDOM=49,
1423                MATOP_GET_ROW_IJ=50,
1424                MATOP_RESTORE_ROW_IJ=51,
1425                MATOP_GET_COLUMN_IJ=52,
1426                MATOP_RESTORE_COLUMN_IJ=53,
1427                MATOP_FDCOLORING_CREATE=54,
1428                MATOP_COLORING_PATCH=55,
1429                MATOP_SET_UNFACTORED=56,
1430                MATOP_PERMUTE=57,
1431                MATOP_SET_VALUES_BLOCKED=58,
1432                MATOP_GET_SUBMATRIX=59,
1433                MATOP_DESTROY=60,
1434                MATOP_VIEW=61,
1435                MATOP_CONVERT_FROM=62,
1436                MATOP_MATMAT_MULT=63,
1437                MATOP_MATMAT_MULT_SYMBOLIC=64,
1438                MATOP_MATMAT_MULT_NUMERIC=65,
1439                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1440                MATOP_SET_VALUES_LOCAL=67,
1441                MATOP_ZERO_ROWS_LOCAL=68,
1442                MATOP_GET_ROW_MAX_ABS=69,
1443                MATOP_GET_ROW_MIN_ABS=70,
1444                MATOP_CONVERT=71,
1445                MATOP_SET_COLORING=72,
1446                /* MATOP_PLACEHOLDER_73=73, */
1447                MATOP_SET_VALUES_ADIFOR=74,
1448                MATOP_FD_COLORING_APPLY=75,
1449                MATOP_SET_FROM_OPTIONS=76,
1450                MATOP_MULT_CONSTRAINED=77,
1451                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1452                MATOP_FIND_ZERO_DIAGONALS=79,
1453                MATOP_MULT_MULTIPLE=80,
1454                MATOP_SOLVE_MULTIPLE=81,
1455                MATOP_GET_INERTIA=82,
1456                MATOP_LOAD=83,
1457                MATOP_IS_SYMMETRIC=84,
1458                MATOP_IS_HERMITIAN=85,
1459                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1460                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1461                MATOP_GET_VECS=88,
1462                MATOP_MAT_MULT=89,
1463                MATOP_MAT_MULT_SYMBOLIC=90,
1464                MATOP_MAT_MULT_NUMERIC=91,
1465                MATOP_PTAP=92,
1466                MATOP_PTAP_SYMBOLIC=93,
1467                MATOP_PTAP_NUMERIC=94,
1468                MATOP_MAT_TRANSPOSE_MULT=95,
1469                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1470                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1471                /* MATOP_PLACEHOLDER_98=98, */
1472                /* MATOP_PLACEHOLDER_99=99, */
1473                /* MATOP_PLACEHOLDER_100=100, */
1474                /* MATOP_PLACEHOLDER_101=101, */
1475                MATOP_CONJUGATE=102,
1476                /* MATOP_PLACEHOLDER_103=103, */
1477                MATOP_SET_VALUES_ROW=104,
1478                MATOP_REAL_PART=105,
1479                MATOP_IMAGINARY_PART=106,
1480                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1481                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1482                MATOP_MAT_SOLVE=109,
1483                MATOP_GET_REDUNDANT_MATRIX=110,
1484                MATOP_GET_ROW_MIN=111,
1485                MATOP_GET_COLUMN_VECTOR=112,
1486                MATOP_MISSING_DIAGONAL=113,
1487                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1488                MATOP_CREATE=115,
1489                MATOP_GET_GHOSTS=116,
1490                MATOP_GET_LOCAL_SUB_MATRIX=117,
1491                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1492                MATOP_MULT_DIAGONAL_BLOCK=119,
1493                MATOP_HERMITIAN_TRANSPOSE=120,
1494                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1495                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1496                MATOP_GET_MULTI_PROC_BLOCK=123,
1497                MATOP_FIND_NONZERO_ROWS=124,
1498                MATOP_GET_COLUMN_NORMS=125,
1499                MATOP_INVERT_BLOCK_DIAGONAL=126,
1500                /* MATOP_PLACEHOLDER_127=127, */
1501                MATOP_GET_SUB_MATRICES_PARALLE=128,
1502                MATOP_SET_VALUES_BATCH=129,
1503                MATOP_TRANSPOSE_MAT_MULT=130,
1504                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1505                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1506                MATOP_TRANSPOSE_COLORING_CREAT=133,
1507                MATOP_TRANS_COLORING_APPLY_SPT=134,
1508                MATOP_TRANS_COLORING_APPLY_DEN=135,
1509                MATOP_RART=136,
1510                MATOP_RART_SYMBOLIC=137,
1511                MATOP_RART_NUMERIC=138,
1512                MATOP_SET_BLOCK_SIZES=139,
1513                MATOP_AYPX=140,
1514                MATOP_RESIDUAL=141,
1515                MATOP_FDCOLORING_SETUP=142,
1516                MATOP_MPICONCATENATESEQ=144
1517              } MatOperation;
1518 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1519 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1520 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1521 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1522 
1523 /*
1524    Codes for matrices stored on disk. By default they are
1525    stored in a universal format. By changing the format with
1526    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1527    be stored in a way natural for the matrix, for example dense matrices
1528    would be stored as dense. Matrices stored this way may only be
1529    read into matrices of the same type.
1530 */
1531 #define MATRIX_BINARY_FORMAT_DENSE -1
1532 
1533 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1534 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1535 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1536 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1537 
1538 /*S
1539      MatNullSpace - Object that removes a null space from a vector, i.e.
1540          orthogonalizes the vector to a subsapce
1541 
1542    Level: advanced
1543 
1544   Concepts: matrix; linear operator, null space
1545 
1546   Users manual sections:
1547 .   sec_singular
1548 
1549 .seealso:  MatNullSpaceCreate()
1550 S*/
1551 typedef struct _p_MatNullSpace* MatNullSpace;
1552 
1553 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1554 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1555 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1556 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1557 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1558 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1559 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1560 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1561 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1562 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1563 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1564 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1565 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1566 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1567 
1568 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1569 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1570 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1571 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1572 
1573 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1574 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1575 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1576 
1577 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1578 
1579 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1580 
1581 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1582 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1583 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1584 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1585 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1586 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1587 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1588 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1589 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1590 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1591 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1592 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1593 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1594 
1595 /*S
1596     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1597               Jacobian vector products
1598 
1599     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1600 
1601            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1602 
1603     Level: developer
1604 
1605 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1606 S*/
1607 typedef struct _p_MatMFFD* MatMFFD;
1608 
1609 /*J
1610     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1611 
1612    Level: beginner
1613 
1614 .seealso: MatMFFDSetType(), MatMFFDRegister()
1615 J*/
1616 typedef const char* MatMFFDType;
1617 #define MATMFFD_DS  "ds"
1618 #define MATMFFD_WP  "wp"
1619 
1620 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1621 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1622 
1623 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1624 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1625 
1626 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1627 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1628 
1629 /*
1630    PETSc interface to MUMPS
1631 */
1632 #ifdef PETSC_HAVE_MUMPS
1633 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1634 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1635 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1636 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1637 
1638 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1639 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1640 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1641 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1642 #endif
1643 
1644 /*
1645    PETSc interface to Mkl_Pardiso
1646 */
1647 #ifdef PETSC_HAVE_MKL_PARDISO
1648 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1649 #endif
1650 
1651 /*
1652    PETSc interface to Mkl_CPardiso
1653 */
1654 #ifdef PETSC_HAVE_MKL_CPARDISO
1655 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1656 #endif
1657 
1658 /*
1659    PETSc interface to SUPERLU
1660 */
1661 #ifdef PETSC_HAVE_SUPERLU
1662 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1663 #endif
1664 
1665 #ifdef PETSC_HAVE_CUDA
1666 /*E
1667     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1668     matrices.
1669 
1670     Not Collective
1671 
1672 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1673 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1674 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1675 
1676     Level: intermediate
1677 
1678    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1679 
1680 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1681 E*/
1682 
1683 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1684 
1685 /* these will be strings associated with enumerated type defined above */
1686 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1687 
1688 /*E
1689     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1690     matrices whose operation should use a particular storage format.
1691 
1692     Not Collective
1693 
1694 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1695 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1696 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1697 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1698 
1699     Level: intermediate
1700 
1701 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1702 E*/
1703 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1704 
1705 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1706 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1707 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1708 #endif
1709 
1710 #if defined(PETSC_HAVE_CUSP)
1711 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1712 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1713 
1714 /*E
1715     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1716     matrices.
1717 
1718     Not Collective
1719 
1720 +   MAT_CUSP_CSR - Compressed Sparse Row
1721 .   MAT_CUSP_DIA - Diagonal
1722 -   MAT_CUSP_ELL - Ellpack
1723 
1724     Level: intermediate
1725 
1726    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1727 
1728 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1729 E*/
1730 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1731 
1732 /* these will be strings associated with enumerated type defined above */
1733 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1734 
1735 /*E
1736     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1737     matrices whose operation should use a particular storage format.
1738 
1739     Not Collective
1740 
1741 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1742 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1743 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1744 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1745 
1746     Level: intermediate
1747 
1748    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1749 
1750 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1751 E*/
1752 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1753 
1754 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1755 #endif
1756 
1757 #if defined(PETSC_HAVE_VIENNACL)
1758 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1759 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1760 #endif
1761 
1762 /*
1763    PETSc interface to FFTW
1764 */
1765 #if defined(PETSC_HAVE_FFTW)
1766 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1767 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1768 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1769 #endif
1770 
1771 /*
1772    PETSc interface to ELEMENTAL
1773 */
1774 #if defined(PETSC_HAVE_ELEMENTAL)
1775 #if defined(PETSC_USE_COMPLEX)
1776 typedef El::Complex<PetscReal> PetscElemScalar;
1777 #else
1778 typedef PetscScalar PetscElemScalar;
1779 #endif
1780 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1781 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1782 #endif
1783 
1784 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1785 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1786 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1787 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1788 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1789 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1790 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1791 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1792 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1793 
1794 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1795 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1796 
1797 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1798 
1799 #endif
1800