xref: /petsc/include/petscmat.h (revision 8276244a08780f88cbecdeda759dff4b2f999d0f)
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 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 
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    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1001 
1002    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1003 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1004 
1005    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1006 
1007       You can use MatFactorInfoInitialize() to set default values.
1008 
1009    Level: developer
1010 
1011 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1012           MatFactorInfoInitialize()
1013 
1014 S*/
1015 typedef struct {
1016   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1017   PetscReal     usedt;
1018   PetscReal     dt;             /* drop tolerance */
1019   PetscReal     dtcol;          /* tolerance for pivoting */
1020   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1021   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1022   PetscReal     levels;         /* ICC/ILU(levels) */
1023   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1024                                    factorization may be faster if do not pivot */
1025   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1026   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1027   PetscReal     shiftamount;     /* how large the shift is */
1028 } MatFactorInfo;
1029 
1030 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1031 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1032 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1033 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1034 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1035 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1037 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1038 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1039 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1040 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1041 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1042 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1043 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1044 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1045 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1046 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1047 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1048 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1049 
1050 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1051 
1052 /*E
1053     MatSORType - What type of (S)SOR to perform
1054 
1055     Level: beginner
1056 
1057    May be bitwise ORd together
1058 
1059    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1060 
1061    MatSORType may be bitwise ORd together, so do not change the numbers
1062 
1063 .seealso: MatSOR()
1064 E*/
1065 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1066               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1067               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1068               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1069 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1070 
1071 /*
1072     These routines are for efficiently computing Jacobians via finite differences.
1073 */
1074 
1075 /*S
1076      MatColoring - Object for managing the coloring of matrices.
1077 
1078    Level: beginner
1079 
1080   Concepts: matrix, coloring
1081 
1082 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1083 S*/
1084 typedef struct _p_MatColoring* MatColoring;
1085 /*J
1086     MatColoringType - String with the name of a PETSc matrix coloring
1087 
1088    Level: beginner
1089 
1090 .seealso: MatColoringSetType(), MatColoring
1091 J*/
1092 
1093 typedef const  char*           MatColoringType;
1094 #define MATCOLORINGJP      "jp"
1095 #define MATCOLORINGPOWER   "power"
1096 #define MATCOLORINGNATURAL "natural"
1097 #define MATCOLORINGSL      "sl"
1098 #define MATCOLORINGLF      "lf"
1099 #define MATCOLORINGID      "id"
1100 #define MATCOLORINGGREEDY  "greedy"
1101 
1102 /*E
1103    MatColoringWeightType - Type of weight scheme
1104 
1105     Not Collective
1106 
1107 +   MAT_COLORING_RANDOM  - Random weights
1108 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1109 -   MAT_COLORING_LF      - Last-first weighting.
1110 
1111     Level: intermediate
1112 
1113    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1114 
1115 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1116 E*/
1117 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1118 
1119 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1120 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1121 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1122 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1123 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1124 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1125 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1126 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1127 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1128 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1129 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1130 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1131 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1132 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1133 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1134 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1135 
1136 /*S
1137      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1138         and coloring
1139 
1140    Level: beginner
1141 
1142   Concepts: coloring, sparse Jacobian, finite differences
1143 
1144 .seealso:  MatFDColoringCreate()
1145 S*/
1146 typedef struct _p_MatFDColoring* MatFDColoring;
1147 
1148 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1149 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1150 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1154 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1155 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1156 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1157 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1158 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1159 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1160 
1161 
1162 /*S
1163      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1164 
1165    Level: beginner
1166 
1167   Concepts: coloring, sparse matrix product
1168 
1169 .seealso:  MatTransposeColoringCreate()
1170 S*/
1171 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1172 
1173 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1174 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1175 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1176 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1177 
1178 /*
1179     These routines are for partitioning matrices: currently used only
1180   for adjacency matrix, MatCreateMPIAdj().
1181 */
1182 
1183 /*S
1184      MatPartitioning - Object for managing the partitioning of a matrix or graph
1185 
1186    Level: beginner
1187 
1188   Concepts: partitioning
1189 
1190 .seealso:  MatPartitioningCreate(), MatPartitioningType
1191 S*/
1192 typedef struct _p_MatPartitioning* MatPartitioning;
1193 
1194 /*J
1195     MatPartitioningType - String with the name of a PETSc matrix partitioning
1196 
1197    Level: beginner
1198 dm
1199 .seealso: MatPartitioningCreate(), MatPartitioning
1200 J*/
1201 typedef const char* MatPartitioningType;
1202 #define MATPARTITIONINGCURRENT  "current"
1203 #define MATPARTITIONINGAVERAGE   "average"
1204 #define MATPARTITIONINGSQUARE   "square"
1205 #define MATPARTITIONINGPARMETIS "parmetis"
1206 #define MATPARTITIONINGCHACO    "chaco"
1207 #define MATPARTITIONINGPARTY    "party"
1208 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1209 #define MATPARTITIONINGHIERARCH  "hierarch"
1210 
1211 
1212 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1213 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1214 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1215 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1216 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1217 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1218 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1219 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1220 
1221 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1222 
1223 
1224 
1225 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1226 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1227 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1228 
1229 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1230 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1231 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1232 
1233 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1234 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1235 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1236 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1237 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1238 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1239 
1240 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1241 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1243 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1244 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1245 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1246 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1247 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1248 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1249 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1250 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1251 
1252 #define MP_PARTY_OPT "opt"
1253 #define MP_PARTY_LIN "lin"
1254 #define MP_PARTY_SCA "sca"
1255 #define MP_PARTY_RAN "ran"
1256 #define MP_PARTY_GBF "gbf"
1257 #define MP_PARTY_GCF "gcf"
1258 #define MP_PARTY_BUB "bub"
1259 #define MP_PARTY_DEF "def"
1260 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1261 #define MP_PARTY_HELPFUL_SETS "hs"
1262 #define MP_PARTY_KERNIGHAN_LIN "kl"
1263 #define MP_PARTY_NONE "no"
1264 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1265 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1266 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1267 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1268 
1269 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1270 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1271 
1272 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1273 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1274 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1275 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1276 
1277 /*
1278  * hierarchical partitioning
1279  */
1280 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1281 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1282 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1283 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1284 
1285 /*
1286     These routines are for coarsening matrices:
1287 */
1288 
1289 /*S
1290      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1291 
1292    Level: beginner
1293 
1294   Concepts: coarsen
1295 
1296 .seealso:  MatCoarsenCreate), MatCoarsenType
1297 S*/
1298 typedef struct _p_MatCoarsen* MatCoarsen;
1299 
1300 /*J
1301     MatCoarsenType - String with the name of a PETSc matrix coarsen
1302 
1303    Level: beginner
1304 
1305 .seealso: MatCoarsenCreate(), MatCoarsen
1306 J*/
1307 typedef const char* MatCoarsenType;
1308 #define MATCOARSENMIS  "mis"
1309 #define MATCOARSENHEM  "hem"
1310 
1311 /* linked list for aggregates */
1312 typedef struct _PetscCDIntNd{
1313   struct _PetscCDIntNd *next;
1314   PetscInt             gid;
1315 }PetscCDIntNd;
1316 
1317 /* only used by node pool */
1318 typedef struct _PetscCDArrNd{
1319   struct _PetscCDArrNd *next;
1320   struct _PetscCDIntNd *array;
1321 }PetscCDArrNd;
1322 
1323 typedef struct _PetscCoarsenData{
1324   PetscCDArrNd pool_list;  /* node pool */
1325   PetscCDIntNd *new_node;
1326   PetscInt     new_left;
1327   PetscInt     chk_sz;
1328   PetscCDIntNd *extra_nodes;
1329   PetscCDIntNd **array;  /* Array of lists */
1330   PetscInt     size;
1331   Mat          mat;  /* cache a Mat for communication data */
1332 }PetscCoarsenData;
1333 
1334 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1335 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1336 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1337 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1338 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1339 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1340 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1341 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1342 
1343 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1344 
1345 
1346 
1347 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1348 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1349 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1350 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
1351 
1352 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1353 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1354 
1355 /*
1356     If you add entries here you must also add them to petsc/finclude/petscmat.h
1357 */
1358 typedef enum { MATOP_SET_VALUES=0,
1359                MATOP_GET_ROW=1,
1360                MATOP_RESTORE_ROW=2,
1361                MATOP_MULT=3,
1362                MATOP_MULT_ADD=4,
1363                MATOP_MULT_TRANSPOSE=5,
1364                MATOP_MULT_TRANSPOSE_ADD=6,
1365                MATOP_SOLVE=7,
1366                MATOP_SOLVE_ADD=8,
1367                MATOP_SOLVE_TRANSPOSE=9,
1368                MATOP_SOLVE_TRANSPOSE_ADD=10,
1369                MATOP_LUFACTOR=11,
1370                MATOP_CHOLESKYFACTOR=12,
1371                MATOP_SOR=13,
1372                MATOP_TRANSPOSE=14,
1373                MATOP_GETINFO=15,
1374                MATOP_EQUAL=16,
1375                MATOP_GET_DIAGONAL=17,
1376                MATOP_DIAGONAL_SCALE=18,
1377                MATOP_NORM=19,
1378                MATOP_ASSEMBLY_BEGIN=20,
1379                MATOP_ASSEMBLY_END=21,
1380                MATOP_SET_OPTION=22,
1381                MATOP_ZERO_ENTRIES=23,
1382                MATOP_ZERO_ROWS=24,
1383                MATOP_LUFACTOR_SYMBOLIC=25,
1384                MATOP_LUFACTOR_NUMERIC=26,
1385                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1386                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1387                MATOP_SETUP_PREALLOCATION=29,
1388                MATOP_ILUFACTOR_SYMBOLIC=30,
1389                MATOP_ICCFACTOR_SYMBOLIC=31,
1390                /* MATOP_PLACEHOLDER_32=32, */
1391                /* MATOP_PLACEHOLDER_33=33, */
1392                MATOP_DUPLICATE=34,
1393                MATOP_FORWARD_SOLVE=35,
1394                MATOP_BACKWARD_SOLVE=36,
1395                MATOP_ILUFACTOR=37,
1396                MATOP_ICCFACTOR=38,
1397                MATOP_AXPY=39,
1398                MATOP_GET_SUBMATRICES=40,
1399                MATOP_INCREASE_OVERLAP=41,
1400                MATOP_GET_VALUES=42,
1401                MATOP_COPY=43,
1402                MATOP_GET_ROW_MAX=44,
1403                MATOP_SCALE=45,
1404                MATOP_SHIFT=46,
1405                MATOP_DIAGONAL_SET=47,
1406                MATOP_ZERO_ROWS_COLUMNS=48,
1407                MATOP_SET_RANDOM=49,
1408                MATOP_GET_ROW_IJ=50,
1409                MATOP_RESTORE_ROW_IJ=51,
1410                MATOP_GET_COLUMN_IJ=52,
1411                MATOP_RESTORE_COLUMN_IJ=53,
1412                MATOP_FDCOLORING_CREATE=54,
1413                MATOP_COLORING_PATCH=55,
1414                MATOP_SET_UNFACTORED=56,
1415                MATOP_PERMUTE=57,
1416                MATOP_SET_VALUES_BLOCKED=58,
1417                MATOP_GET_SUBMATRIX=59,
1418                MATOP_DESTROY=60,
1419                MATOP_VIEW=61,
1420                MATOP_CONVERT_FROM=62,
1421                MATOP_MATMAT_MULT=63,
1422                MATOP_MATMAT_MULT_SYMBOLIC=64,
1423                MATOP_MATMAT_MULT_NUMERIC=65,
1424                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1425                MATOP_SET_VALUES_LOCAL=67,
1426                MATOP_ZERO_ROWS_LOCAL=68,
1427                MATOP_GET_ROW_MAX_ABS=69,
1428                MATOP_GET_ROW_MIN_ABS=70,
1429                MATOP_CONVERT=71,
1430                MATOP_SET_COLORING=72,
1431                /* MATOP_PLACEHOLDER_73=73, */
1432                MATOP_SET_VALUES_ADIFOR=74,
1433                MATOP_FD_COLORING_APPLY=75,
1434                MATOP_SET_FROM_OPTIONS=76,
1435                MATOP_MULT_CONSTRAINED=77,
1436                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1437                MATOP_FIND_ZERO_DIAGONALS=79,
1438                MATOP_MULT_MULTIPLE=80,
1439                MATOP_SOLVE_MULTIPLE=81,
1440                MATOP_GET_INERTIA=82,
1441                MATOP_LOAD=83,
1442                MATOP_IS_SYMMETRIC=84,
1443                MATOP_IS_HERMITIAN=85,
1444                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1445                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1446                MATOP_GET_VECS=88,
1447                MATOP_MAT_MULT=89,
1448                MATOP_MAT_MULT_SYMBOLIC=90,
1449                MATOP_MAT_MULT_NUMERIC=91,
1450                MATOP_PTAP=92,
1451                MATOP_PTAP_SYMBOLIC=93,
1452                MATOP_PTAP_NUMERIC=94,
1453                MATOP_MAT_TRANSPOSE_MULT=95,
1454                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1455                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1456                /* MATOP_PLACEHOLDER_98=98, */
1457                /* MATOP_PLACEHOLDER_99=99, */
1458                /* MATOP_PLACEHOLDER_100=100, */
1459                /* MATOP_PLACEHOLDER_101=101, */
1460                MATOP_CONJUGATE=102,
1461                /* MATOP_PLACEHOLDER_103=103, */
1462                MATOP_SET_VALUES_ROW=104,
1463                MATOP_REAL_PART=105,
1464                MATOP_IMAGINARY_PART=106,
1465                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1466                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1467                MATOP_MAT_SOLVE=109,
1468                MATOP_GET_REDUNDANT_MATRIX=110,
1469                MATOP_GET_ROW_MIN=111,
1470                MATOP_GET_COLUMN_VECTOR=112,
1471                MATOP_MISSING_DIAGONAL=113,
1472                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1473                MATOP_CREATE=115,
1474                MATOP_GET_GHOSTS=116,
1475                MATOP_GET_LOCAL_SUB_MATRIX=117,
1476                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1477                MATOP_MULT_DIAGONAL_BLOCK=119,
1478                MATOP_HERMITIAN_TRANSPOSE=120,
1479                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1480                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1481                MATOP_GET_MULTI_PROC_BLOCK=123,
1482                MATOP_FIND_NONZERO_ROWS=124,
1483                MATOP_GET_COLUMN_NORMS=125,
1484                MATOP_INVERT_BLOCK_DIAGONAL=126,
1485                /* MATOP_PLACEHOLDER_127=127, */
1486                MATOP_GET_SUB_MATRICES_PARALLE=128,
1487                MATOP_SET_VALUES_BATCH=129,
1488                MATOP_TRANSPOSE_MAT_MULT=130,
1489                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1490                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1491                MATOP_TRANSPOSE_COLORING_CREAT=133,
1492                MATOP_TRANS_COLORING_APPLY_SPT=134,
1493                MATOP_TRANS_COLORING_APPLY_DEN=135,
1494                MATOP_RART=136,
1495                MATOP_RART_SYMBOLIC=137,
1496                MATOP_RART_NUMERIC=138,
1497                MATOP_SET_BLOCK_SIZES=139,
1498                MATOP_AYPX=140,
1499                MATOP_RESIDUAL=141,
1500                MATOP_FDCOLORING_SETUP=142,
1501                MATOP_MPICONCATENATESEQ=144
1502              } MatOperation;
1503 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1504 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1505 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1506 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1507 
1508 /*
1509    Codes for matrices stored on disk. By default they are
1510    stored in a universal format. By changing the format with
1511    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1512    be stored in a way natural for the matrix, for example dense matrices
1513    would be stored as dense. Matrices stored this way may only be
1514    read into matrices of the same type.
1515 */
1516 #define MATRIX_BINARY_FORMAT_DENSE -1
1517 
1518 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1519 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1520 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1521 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1522 
1523 /*S
1524      MatNullSpace - Object that removes a null space from a vector, i.e.
1525          orthogonalizes the vector to a subsapce
1526 
1527    Level: advanced
1528 
1529   Concepts: matrix; linear operator, null space
1530 
1531   Users manual sections:
1532 .   sec_singular
1533 
1534 .seealso:  MatNullSpaceCreate()
1535 S*/
1536 typedef struct _p_MatNullSpace* MatNullSpace;
1537 
1538 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1539 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1540 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1541 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1542 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1543 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1544 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1545 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1546 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1547 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1548 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1549 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1550 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1551 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1552 
1553 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1554 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1555 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1556 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1557 
1558 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1559 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1560 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1561 
1562 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1563 
1564 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1565 
1566 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1567 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1568 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1569 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1570 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1571 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1572 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1573 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1574 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1575 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1576 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1577 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1578 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1579 
1580 /*S
1581     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1582               Jacobian vector products
1583 
1584     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1585 
1586            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1587 
1588     Level: developer
1589 
1590 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1591 S*/
1592 typedef struct _p_MatMFFD* MatMFFD;
1593 
1594 /*J
1595     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1596 
1597    Level: beginner
1598 
1599 .seealso: MatMFFDSetType(), MatMFFDRegister()
1600 J*/
1601 typedef const char* MatMFFDType;
1602 #define MATMFFD_DS  "ds"
1603 #define MATMFFD_WP  "wp"
1604 
1605 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1606 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1607 
1608 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1609 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1610 
1611 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1612 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1613 
1614 /*
1615    PETSc interface to MUMPS
1616 */
1617 #ifdef PETSC_HAVE_MUMPS
1618 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1619 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1620 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1621 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1622 
1623 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1624 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1625 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1626 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1627 
1628 PETSC_EXTERN PetscErrorCode MatMumpsSetSchurIndices(Mat,PetscInt,PetscInt[]);
1629 PETSC_EXTERN PetscErrorCode MatMumpsInvertSchurComplement(Mat);
1630 PETSC_EXTERN PetscErrorCode MatMumpsCreateSchurComplement(Mat,Mat*);
1631 PETSC_EXTERN PetscErrorCode MatMumpsGetSchurComplement(Mat,Mat*);
1632 PETSC_EXTERN PetscErrorCode MatMumpsRestoreSchurComplement(Mat,Mat*);
1633 PETSC_EXTERN PetscErrorCode MatMumpsSolveSchurComplement(Mat,Vec,Vec);
1634 PETSC_EXTERN PetscErrorCode MatMumpsSolveSchurComplementTranspose(Mat,Vec,Vec);
1635 #endif
1636 
1637 /*
1638    PETSc interface to Mkl_Pardiso
1639 */
1640 #ifdef PETSC_HAVE_MKL_PARDISO
1641 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1642 #endif
1643 
1644 /*
1645    PETSc interface to Mkl_CPardiso
1646 */
1647 #ifdef PETSC_HAVE_MKL_CPARDISO
1648 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1649 #endif
1650 
1651 /*
1652    PETSc interface to SUPERLU
1653 */
1654 #ifdef PETSC_HAVE_SUPERLU
1655 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1656 #endif
1657 
1658 #ifdef PETSC_HAVE_CUDA
1659 /*E
1660     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1661     matrices.
1662 
1663     Not Collective
1664 
1665 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1666 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1667 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1668 
1669     Level: intermediate
1670 
1671    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1672 
1673 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1674 E*/
1675 
1676 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1677 
1678 /* these will be strings associated with enumerated type defined above */
1679 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1680 
1681 /*E
1682     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1683     matrices whose operation should use a particular storage format.
1684 
1685     Not Collective
1686 
1687 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1688 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1689 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1690 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1691 
1692     Level: intermediate
1693 
1694 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1695 E*/
1696 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1697 
1698 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1699 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1700 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1701 #endif
1702 
1703 #if defined(PETSC_HAVE_CUSP)
1704 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1705 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1706 
1707 /*E
1708     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1709     matrices.
1710 
1711     Not Collective
1712 
1713 +   MAT_CUSP_CSR - Compressed Sparse Row
1714 .   MAT_CUSP_DIA - Diagonal
1715 -   MAT_CUSP_ELL - Ellpack
1716 
1717     Level: intermediate
1718 
1719    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1720 
1721 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1722 E*/
1723 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1724 
1725 /* these will be strings associated with enumerated type defined above */
1726 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1727 
1728 /*E
1729     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1730     matrices whose operation should use a particular storage format.
1731 
1732     Not Collective
1733 
1734 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1735 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1736 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1737 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1738 
1739     Level: intermediate
1740 
1741    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1742 
1743 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1744 E*/
1745 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1746 
1747 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1748 #endif
1749 
1750 #if defined(PETSC_HAVE_VIENNACL)
1751 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1752 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1753 #endif
1754 
1755 /*
1756    PETSc interface to FFTW
1757 */
1758 #if defined(PETSC_HAVE_FFTW)
1759 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1760 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1761 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1762 #endif
1763 
1764 /*
1765    PETSc interface to ELEMENTAL
1766 */
1767 #if defined(PETSC_HAVE_ELEMENTAL)
1768 #if defined(PETSC_USE_COMPLEX)
1769 typedef El::Complex<PetscReal> PetscElemScalar;
1770 #else
1771 typedef PetscScalar PetscElemScalar;
1772 #endif
1773 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1774 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1775 #endif
1776 
1777 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1778 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1779 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1780 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1781 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1782 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1783 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1784 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1785 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1786 
1787 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1788 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1789 
1790 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1791 
1792 #endif
1793