xref: /petsc/include/petscmat.h (revision 9c8f2541a5996aa8eae70f697bc10dd8da5bda98)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATSEQAIJPTHREAD   "seqaijpthread"
36 #define MATAIJPTHREAD      "aijpthread"
37 #define MATMPIAIJ          "mpiaij"
38 #define MATAIJCRL          "aijcrl"
39 #define MATSEQAIJCRL       "seqaijcrl"
40 #define MATMPIAIJCRL       "mpiaijcrl"
41 #define MATAIJCUSP         "aijcusp"
42 #define MATSEQAIJCUSP      "seqaijcusp"
43 #define MATMPIAIJCUSP      "mpiaijcusp"
44 #define MATAIJCUSPARSE     "aijcusparse"
45 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
46 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
47 #define MATAIJVIENNACL     "aijviennacl"
48 #define MATSEQAIJVIENNACL  "seqaijviennacl"
49 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
50 #define MATAIJPERM         "aijperm"
51 #define MATSEQAIJPERM      "seqaijperm"
52 #define MATMPIAIJPERM      "mpiaijperm"
53 #define MATSHELL           "shell"
54 #define MATDENSE           "dense"
55 #define MATSEQDENSE        "seqdense"
56 #define MATMPIDENSE        "mpidense"
57 #define MATELEMENTAL       "elemental"
58 #define MATBAIJ            "baij"
59 #define MATSEQBAIJ         "seqbaij"
60 #define MATMPIBAIJ         "mpibaij"
61 #define MATMPIADJ          "mpiadj"
62 #define MATSBAIJ           "sbaij"
63 #define MATSEQSBAIJ        "seqsbaij"
64 #define MATMPISBAIJ        "mpisbaij"
65 #define MATSEQBSTRM        "seqbstrm"
66 #define MATMPIBSTRM        "mpibstrm"
67 #define MATBSTRM           "bstrm"
68 #define MATSEQSBSTRM       "seqsbstrm"
69 #define MATMPISBSTRM       "mpisbstrm"
70 #define MATSBSTRM          "sbstrm"
71 #define MATDAAD            "daad"
72 #define MATMFFD            "mffd"
73 #define MATNORMAL          "normal"
74 #define MATLRC             "lrc"
75 #define MATSCATTER         "scatter"
76 #define MATBLOCKMAT        "blockmat"
77 #define MATCOMPOSITE       "composite"
78 #define MATFFT             "fft"
79 #define MATFFTW            "fftw"
80 #define MATSEQCUFFT        "seqcufft"
81 #define MATTRANSPOSEMAT    "transpose"
82 #define MATSCHURCOMPLEMENT "schurcomplement"
83 #define MATPYTHON          "python"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 
90 /*J
91     MatSolverPackage - String with the name of a PETSc matrix solver type.
92 
93     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
94        SuperLU or SuperLU_Dist etc.
95 
96 
97    Level: beginner
98 
99 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
100 J*/
101 #define MatSolverPackage char*
102 #define MATSOLVERSUPERLU      "superlu"
103 #define MATSOLVERSUPERLU_DIST "superlu_dist"
104 #define MATSOLVERUMFPACK      "umfpack"
105 #define MATSOLVERCHOLMOD      "cholmod"
106 #define MATSOLVERESSL         "essl"
107 #define MATSOLVERLUSOL        "lusol"
108 #define MATSOLVERMUMPS        "mumps"
109 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
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/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 
138 /* Logging support */
139 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
140 PETSC_EXTERN PetscClassId MAT_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
147 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
148 
149 /*E
150     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
151      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
152      that the input matrix is to be replaced with the converted matrix.
153 
154     Level: beginner
155 
156    Any additions/changes here MUST also be made in include/finclude/petscmat.h
157 
158 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
159 E*/
160 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
161 
162 /*E
163     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
164      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
165 
166     Level: beginner
167 
168 .seealso: MatGetSeqNonzerostructure()
169 E*/
170 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
171 
172 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
173 
174 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
175 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
176 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
177 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
178 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
179 PETSC_EXTERN PetscErrorCode MatRegisterAll(void);
180 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
181 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
182 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
184 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
185 
186 PETSC_EXTERN PetscBool         MatRegisterAllCalled;
187 PETSC_EXTERN PetscFunctionList MatList;
188 PETSC_EXTERN PetscFunctionList MatColoringList;
189 PETSC_EXTERN PetscFunctionList MatPartitioningList;
190 PETSC_EXTERN PetscFunctionList MatCoarsenList;
191 
192 /*E
193     MatStructure - Indicates if two matrices have the same nonzero structure
194 
195     Level: beginner
196 
197    Any additions/changes here MUST also be made in include/finclude/petscmat.h
198 
199 .seealso: MatCopy(), MatAXPY()
200 E*/
201 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
202 
203 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
208 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
209 
210 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJConcatenateSeqBAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJConcatenateSeqBAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
214 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJConcatenateSeqBAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
215 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
216 
217 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
219 
220 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJConcatenateSeqSBAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJConcatenateSeqSBAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJConcatenateSeqSBAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
224 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
225 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
226 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
227 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
228 
229 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
230 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
235 
236 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
237 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
238 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
240 
241 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
242 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
243 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
244 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
245 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
246 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
247 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
248 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
249 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
250 
251 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
252 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
253 
254 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
255 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
256 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
257 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
258 
259 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
260 
261 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
262 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
263 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
264 
265 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
266 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
267 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
268 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
269 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
270 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
271 
272 /* ------------------------------------------------------------*/
273 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
274 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
275 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
276 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
277 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
278 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
279 
280 /*S
281      MatStencil - Data structure (C struct) for storing information about a single row or
282         column of a matrix as indexed on an associated grid.
283 
284    Fortran usage is different, see MatSetValuesStencil() for details.
285 
286    Level: beginner
287 
288   Concepts: matrix; linear operator
289 
290 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
291 S*/
292 typedef struct {
293   PetscInt k,j,i,c;
294 } MatStencil;
295 
296 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
297 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
298 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
299 
300 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
301 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
302 
303 /*E
304     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
305      to continue to add values to it
306 
307     Level: beginner
308 
309 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
310 E*/
311 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
312 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
313 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
314 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
315 
316 
317 
318 /*E
319     MatOption - Options that may be set for a matrix and its behavior or storage
320 
321     Level: beginner
322 
323    Any additions/changes here MUST also be made in include/finclude/petscmat.h
324 
325    Developer Notes: Entries that are negative need not be called collectively by all processes.
326 
327 .seealso: MatSetOption()
328 E*/
329 typedef enum {MAT_OPTION_MIN = -5,
330               MAT_NEW_NONZERO_LOCATION_ERR = -4,
331               MAT_UNUSED_NONZERO_LOCATION_ERR = -3,
332               MAT_NEW_NONZERO_ALLOCATION_ERR = -2,
333               MAT_ROW_ORIENTED = -1,
334               MAT_SYMMETRIC = 1,
335               MAT_STRUCTURALLY_SYMMETRIC = 2,
336               MAT_NEW_DIAGONALS = 3,
337               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
338               MAT_USE_HASH_TABLE = 5,
339               MAT_KEEP_NONZERO_PATTERN = 6,
340               MAT_IGNORE_ZERO_ENTRIES = 7,
341               MAT_USE_INODES = 8,
342               MAT_HERMITIAN = 9,
343               MAT_SYMMETRY_ETERNAL = 10,
344               MAT_DUMMY = 11,
345               MAT_IGNORE_LOWER_TRIANGULAR = 12,
346               MAT_ERROR_LOWER_TRIANGULAR = 13,
347               MAT_GETROW_UPPERTRIANGULAR = 14,
348               MAT_SPD = 15,
349               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
350               MAT_NO_OFF_PROC_ENTRIES = 17,
351               MAT_NEW_NONZERO_LOCATIONS = 18,
352               MAT_OPTION_MAX = 19} MatOption;
353 
354 PETSC_EXTERN const char *MatOptions[];
355 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
356 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
357 
358 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
359 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
360 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
361 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
362 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
363 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
364 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
365 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
367 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
369 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
370 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
371 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
372 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
373 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
374 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
375 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
376 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
377 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
378 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
379 
380 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
386 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
387 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
388 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
389 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
390 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
391 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
392 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
393 
394 /*E
395     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
396   its numerical values copied over or just its nonzero structure.
397 
398     Level: beginner
399 
400    Any additions/changes here MUST also be made in include/finclude/petscmat.h
401 
402 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
403 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
404 $                               have several matrices with the same nonzero pattern.
405 
406 .seealso: MatDuplicate()
407 E*/
408 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
409 
410 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
411 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
412 
413 
414 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
415 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
416 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
418 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
419 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
420 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
421 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
422 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
423 
424 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
425 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
426 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
427 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
428 
429 /*S
430      MatInfo - Context of matrix information, used with MatGetInfo()
431 
432    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
433 
434    Level: intermediate
435 
436   Concepts: matrix^nonzero information
437 
438 .seealso:  MatGetInfo(), MatInfoType
439 S*/
440 typedef struct {
441   PetscLogDouble block_size;                         /* block size */
442   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
443   PetscLogDouble memory;                             /* memory allocated */
444   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
445   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
446   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
447   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
448 } MatInfo;
449 
450 /*E
451     MatInfoType - Indicates if you want information about the local part of the matrix,
452      the entire parallel matrix or the maximum over all the local parts.
453 
454     Level: beginner
455 
456    Any additions/changes here MUST also be made in include/finclude/petscmat.h
457 
458 .seealso: MatGetInfo(), MatInfo
459 E*/
460 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
461 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
462 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
463 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
464 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
465 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
466 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
467 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
468 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
469 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
470 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
471 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
472 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
473 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
474 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
475 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
476 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
477 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
478 
479 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
480 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
481 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
482 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
483 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
484 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
485 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
486 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
487 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
488 
489 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
490 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
491 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
492 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
493 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
494 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
495 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
496 
497 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
498 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
499 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
500 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
501 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
502 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
503 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
504 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
505 
506 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
507 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
508 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
509 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
510 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
511 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
512 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
513 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
514 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
515 
516 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
517 
518 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
521 
522 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
525 
526 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
529 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
532 
533 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
534 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
535 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
536 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
537 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
538 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
539 
540 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
541 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
542 
543 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
544 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
545 
546 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
547 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
548 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
549 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
550 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
552 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
554 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
555 
556 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
557 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
558 
559 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
560 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
561 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
562 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
563 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
564 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
565 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
566 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
567 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
568 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
569 
570 /*MC
571    MatSetValue - Set a single entry into a matrix.
572 
573    Not collective
574 
575    Synopsis:
576      #include <petscmat.h>
577      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
578 
579    Input Parameters:
580 +  m - the matrix
581 .  row - the row location of the entry
582 .  col - the column location of the entry
583 .  value - the value to insert
584 -  mode - either INSERT_VALUES or ADD_VALUES
585 
586    Notes:
587    For efficiency one should use MatSetValues() and set several or many
588    values simultaneously if possible.
589 
590    Level: beginner
591 
592 .seealso: MatSetValues(), MatSetValueLocal()
593 M*/
594 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
595 
596 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
597 
598 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
599 
600 /*MC
601    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
602        row in a matrix providing the data that one can use to correctly preallocate the matrix.
603 
604    Synopsis:
605    #include <petscmat.h>
606    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
607 
608    Collective on MPI_Comm
609 
610    Input Parameters:
611 +  comm - the communicator that will share the eventually allocated matrix
612 .  nrows - the number of LOCAL rows in the matrix
613 -  ncols - the number of LOCAL columns in the matrix
614 
615    Output Parameters:
616 +  dnz - the array that will be passed to the matrix preallocation routines
617 -  ozn - the other array passed to the matrix preallocation routines
618 
619    Level: intermediate
620 
621    Notes:
622     See Users-Manual: ch_performance for more details.
623 
624    Do not malloc or free dnz and onz, that is handled internally by these routines
625 
626    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
627 
628    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
629 
630   Concepts: preallocation^Matrix
631 
632 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
633           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
634 M*/
635 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
636 { \
637   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
638   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
639   __start = 0; __end = __start;                                         \
640   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
641   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
642 
643 /*MC
644    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
645        inserted using a local number of the rows and columns
646 
647    Synopsis:
648    #include <petscmat.h>
649    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
650 
651    Not Collective
652 
653    Input Parameters:
654 +  map - the row mapping from local numbering to global numbering
655 .  nrows - the number of rows indicated
656 .  rows - the indices of the rows
657 .  cmap - the column mapping from local to global numbering
658 .  ncols - the number of columns in the matrix
659 .  cols - the columns indicated
660 .  dnz - the array that will be passed to the matrix preallocation routines
661 -  ozn - the other array passed to the matrix preallocation routines
662 
663    Level: intermediate
664 
665    Notes:
666     See Users-Manual: ch_performance for more details.
667 
668    Do not malloc or free dnz and onz, that is handled internally by these routines
669 
670   Concepts: preallocation^Matrix
671 
672 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
673           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
674 M*/
675 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
676 {\
677   PetscInt __l;\
678   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
679   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
680   for (__l=0;__l<nrows;__l++) {\
681     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
682   }\
683 }
684 
685 /*MC
686    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
687        inserted using a local number of the rows and columns
688 
689    Synopsis:
690    #include <petscmat.h>
691    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
692 
693    Not Collective
694 
695    Input Parameters:
696 +  map - the row mapping from local numbering to global numbering
697 .  nrows - the number of rows indicated
698 .  rows - the indices of the rows
699 .  cmap - the column mapping from local to global numbering
700 .  ncols - the number of columns in the matrix
701 .  cols - the columns indicated
702 .  dnz - the array that will be passed to the matrix preallocation routines
703 -  ozn - the other array passed to the matrix preallocation routines
704 
705    Level: intermediate
706 
707    Notes:
708     See Users-Manual: ch_performance for more details.
709 
710    Do not malloc or free dnz and onz, that is handled internally by these routines
711 
712   Concepts: preallocation^Matrix
713 
714 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
715           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
716 M*/
717 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
718 {\
719   PetscInt __l;\
720   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
721   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
722   for (__l=0;__l<nrows;__l++) {\
723     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
724   }\
725 }
726 
727 /*MC
728    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
729        inserted using a local number of the rows and columns
730 
731    Synopsis:
732    #include <petscmat.h>
733    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
734 
735    Not Collective
736 
737    Input Parameters:
738 +  map - the mapping between local numbering and global numbering
739 .  nrows - the number of rows indicated
740 .  rows - the indices of the rows
741 .  ncols - the number of columns in the matrix
742 .  cols - the columns indicated
743 .  dnz - the array that will be passed to the matrix preallocation routines
744 -  ozn - the other array passed to the matrix preallocation routines
745 
746    Level: intermediate
747 
748    Notes:
749     See Users-Manual: ch_performance for more details.
750 
751    Do not malloc or free dnz and onz that is handled internally by these routines
752 
753   Concepts: preallocation^Matrix
754 
755 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
756           MatPreallocateInitialize(),  MatPreallocateSetLocal()
757 M*/
758 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
759 {\
760   PetscInt __l;\
761   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
762   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
763   for (__l=0;__l<nrows;__l++) {\
764     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
765   }\
766 }
767 /*MC
768    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
769        inserted using a local number of the rows and columns
770 
771    Synopsis:
772    #include <petscmat.h>
773    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
774 
775    Not Collective
776 
777    Input Parameters:
778 +  row - the row
779 .  ncols - the number of columns in the matrix
780 -  cols - the columns indicated
781 
782    Output Parameters:
783 +  dnz - the array that will be passed to the matrix preallocation routines
784 -  ozn - the other array passed to the matrix preallocation routines
785 
786    Level: intermediate
787 
788    Notes:
789     See Users-Manual: ch_performance for more details.
790 
791    Do not malloc or free dnz and onz that is handled internally by these routines
792 
793    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
794 
795   Concepts: preallocation^Matrix
796 
797 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
798           MatPreallocateInitialize(), MatPreallocateSetLocal()
799 M*/
800 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
801 { PetscInt __i; \
802   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);\
803   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);\
804   for (__i=0; __i<nc; __i++) {\
805     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
806     else dnz[row - __rstart]++;\
807   }\
808 }
809 
810 /*MC
811    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
812        inserted using a local number of the rows and columns
813 
814    Synopsis:
815    #include <petscmat.h>
816    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
817 
818    Not Collective
819 
820    Input Parameters:
821 +  nrows - the number of rows indicated
822 .  rows - the indices of the rows
823 .  ncols - the number of columns in the matrix
824 .  cols - the columns indicated
825 .  dnz - the array that will be passed to the matrix preallocation routines
826 -  ozn - the other array passed to the matrix preallocation routines
827 
828    Level: intermediate
829 
830    Notes:
831     See Users-Manual: ch_performance for more details.
832 
833    Do not malloc or free dnz and onz that is handled internally by these routines
834 
835    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
836 
837   Concepts: preallocation^Matrix
838 
839 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
840           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
841 M*/
842 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
843 { PetscInt __i; \
844   for (__i=0; __i<nc; __i++) {\
845     if (cols[__i] >= __end) onz[row - __rstart]++; \
846     else if (cols[__i] >= row) dnz[row - __rstart]++;\
847   }\
848 }
849 
850 /*MC
851    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
852 
853    Synopsis:
854    #include <petscmat.h>
855    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
856 
857    Not Collective
858 
859    Input Parameters:
860 .  A - matrix
861 .  row - row where values exist (must be local to this process)
862 .  ncols - number of columns
863 .  cols - columns with nonzeros
864 .  dnz - the array that will be passed to the matrix preallocation routines
865 -  ozn - the other array passed to the matrix preallocation routines
866 
867    Level: intermediate
868 
869    Notes:
870     See Users-Manual: ch_performance for more details.
871 
872    Do not malloc or free dnz and onz that is handled internally by these routines
873 
874    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
875 
876   Concepts: preallocation^Matrix
877 
878 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
879           MatPreallocateSymmetricSetLocalBlock()
880 M*/
881 #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);}
882 
883 
884 /*MC
885    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
886        row in a matrix providing the data that one can use to correctly preallocate the matrix.
887 
888    Synopsis:
889    #include <petscmat.h>
890    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
891 
892    Collective on MPI_Comm
893 
894    Input Parameters:
895 +  dnz - the array that was be passed to the matrix preallocation routines
896 -  ozn - the other array passed to the matrix preallocation routines
897 
898    Level: intermediate
899 
900    Notes:
901     See Users-Manual: ch_performance for more details.
902 
903    Do not malloc or free dnz and onz that is handled internally by these routines
904 
905    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
906 
907   Concepts: preallocation^Matrix
908 
909 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
910           MatPreallocateSymmetricSetLocalBlock()
911 M*/
912 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
913 
914 /* Routines unique to particular data structures */
915 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
916 
917 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
918 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
919 
920 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
921 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
922 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
923 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
924 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
925 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
926 
927 #define MAT_SKIP_ALLOCATION -4
928 
929 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
930 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
931 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
932 
933 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
934 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
935 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
936 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
937 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
938 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
939 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
940 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
941 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
942 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
943 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
944 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
945 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
946 
947 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
948 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
949 
950 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
951 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
952 
953 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
954 
955 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
956 /*
957   These routines are not usually accessed directly, rather solving is
958   done through the KSP and PC interfaces.
959 */
960 
961 /*J
962     MatOrderingType - String with the name of a PETSc matrix ordering
963 
964    Level: beginner
965 
966 .seealso: MatGetOrdering()
967 J*/
968 typedef const char* MatOrderingType;
969 #define MATORDERINGNATURAL     "natural"
970 #define MATORDERINGND          "nd"
971 #define MATORDERING1WD         "1wd"
972 #define MATORDERINGRCM         "rcm"
973 #define MATORDERINGQMD         "qmd"
974 #define MATORDERINGROWLENGTH   "rowlength"
975 #define MATORDERINGWBM         "wbm"
976 #define MATORDERINGSPECTRAL    "spectral"
977 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
978 
979 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
980 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
981 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
982 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
983 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
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
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/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/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 MatColoringRegisterAll(void);
1131 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1132 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1133 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1134 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1135 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1136 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1137 
1138 /*S
1139      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1140         and coloring
1141 
1142    Level: beginner
1143 
1144   Concepts: coloring, sparse Jacobian, finite differences
1145 
1146 .seealso:  MatFDColoringCreate()
1147 S*/
1148 typedef struct _p_MatFDColoring* MatFDColoring;
1149 
1150 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1151 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1152 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1153 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1154 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1155 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1156 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1157 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1158 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1159 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1160 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1161 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1162 
1163 
1164 /*S
1165      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1166 
1167    Level: beginner
1168 
1169   Concepts: coloring, sparse matrix product
1170 
1171 .seealso:  MatTransposeColoringCreate()
1172 S*/
1173 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1174 
1175 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1176 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1177 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1178 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1179 
1180 /*
1181     These routines are for partitioning matrices: currently used only
1182   for adjacency matrix, MatCreateMPIAdj().
1183 */
1184 
1185 /*S
1186      MatPartitioning - Object for managing the partitioning of a matrix or graph
1187 
1188    Level: beginner
1189 
1190   Concepts: partitioning
1191 
1192 .seealso:  MatPartitioningCreate(), MatPartitioningType
1193 S*/
1194 typedef struct _p_MatPartitioning* MatPartitioning;
1195 
1196 /*J
1197     MatPartitioningType - String with the name of a PETSc matrix partitioning
1198 
1199    Level: beginner
1200 dm
1201 .seealso: MatPartitioningCreate(), MatPartitioning
1202 J*/
1203 typedef const char* MatPartitioningType;
1204 #define MATPARTITIONINGCURRENT  "current"
1205 #define MATPARTITIONINGSQUARE   "square"
1206 #define MATPARTITIONINGPARMETIS "parmetis"
1207 #define MATPARTITIONINGCHACO    "chaco"
1208 #define MATPARTITIONINGPARTY    "party"
1209 #define MATPARTITIONINGPTSCOTCH "ptscotch"
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 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1224 
1225 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1226 
1227 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1228 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1229 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1230 
1231 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1233 
1234 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1235 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1236 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1237 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1238 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1239 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1240 
1241 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1243 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1244 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1245 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1246 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1247 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1248 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1249 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1250 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1251 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1252 
1253 #define MP_PARTY_OPT "opt"
1254 #define MP_PARTY_LIN "lin"
1255 #define MP_PARTY_SCA "sca"
1256 #define MP_PARTY_RAN "ran"
1257 #define MP_PARTY_GBF "gbf"
1258 #define MP_PARTY_GCF "gcf"
1259 #define MP_PARTY_BUB "bub"
1260 #define MP_PARTY_DEF "def"
1261 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1262 #define MP_PARTY_HELPFUL_SETS "hs"
1263 #define MP_PARTY_KERNIGHAN_LIN "kl"
1264 #define MP_PARTY_NONE "no"
1265 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1266 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1267 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1268 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1269 
1270 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1271 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1272 
1273 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1274 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1275 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1276 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1277 
1278 /*
1279     These routines are for coarsening matrices:
1280 */
1281 
1282 /*S
1283      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1284 
1285    Level: beginner
1286 
1287   Concepts: coarsen
1288 
1289 .seealso:  MatCoarsenCreate), MatCoarsenType
1290 S*/
1291 typedef struct _p_MatCoarsen* MatCoarsen;
1292 
1293 /*J
1294     MatCoarsenType - String with the name of a PETSc matrix coarsen
1295 
1296    Level: beginner
1297 
1298 .seealso: MatCoarsenCreate(), MatCoarsen
1299 J*/
1300 typedef const char* MatCoarsenType;
1301 #define MATCOARSENMIS  "mis"
1302 #define MATCOARSENHEM  "hem"
1303 
1304 /* linked list for aggregates */
1305 typedef struct _PetscCDIntNd{
1306   struct _PetscCDIntNd *next;
1307   PetscInt             gid;
1308 }PetscCDIntNd;
1309 
1310 /* only used by node pool */
1311 typedef struct _PetscCDArrNd{
1312   struct _PetscCDArrNd *next;
1313   struct _PetscCDIntNd *array;
1314 }PetscCDArrNd;
1315 
1316 typedef struct _PetscCoarsenData{
1317   PetscCDArrNd pool_list;  /* node pool */
1318   PetscCDIntNd *new_node;
1319   PetscInt     new_left;
1320   PetscInt     chk_sz;
1321   PetscCDIntNd *extra_nodes;
1322   PetscCDIntNd **array;  /* Array of lists */
1323   PetscInt     size;
1324   Mat          mat;  /* cache a Mat for communication data */
1325 }PetscCoarsenData;
1326 
1327 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1328 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1329 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1330 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1331 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1332 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1333 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1334 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1335 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1336 
1337 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1338 
1339 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1340 
1341 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1342 
1343 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1344 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1345 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1346 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1347 
1348 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1349 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1350 
1351 /*
1352     If you add entries here you must also add them to finclude/petscmat.h
1353 */
1354 typedef enum { MATOP_SET_VALUES=0,
1355                MATOP_GET_ROW=1,
1356                MATOP_RESTORE_ROW=2,
1357                MATOP_MULT=3,
1358                MATOP_MULT_ADD=4,
1359                MATOP_MULT_TRANSPOSE=5,
1360                MATOP_MULT_TRANSPOSE_ADD=6,
1361                MATOP_SOLVE=7,
1362                MATOP_SOLVE_ADD=8,
1363                MATOP_SOLVE_TRANSPOSE=9,
1364                MATOP_SOLVE_TRANSPOSE_ADD=10,
1365                MATOP_LUFACTOR=11,
1366                MATOP_CHOLESKYFACTOR=12,
1367                MATOP_SOR=13,
1368                MATOP_TRANSPOSE=14,
1369                MATOP_GETINFO=15,
1370                MATOP_EQUAL=16,
1371                MATOP_GET_DIAGONAL=17,
1372                MATOP_DIAGONAL_SCALE=18,
1373                MATOP_NORM=19,
1374                MATOP_ASSEMBLY_BEGIN=20,
1375                MATOP_ASSEMBLY_END=21,
1376                MATOP_SET_OPTION=22,
1377                MATOP_ZERO_ENTRIES=23,
1378                MATOP_ZERO_ROWS=24,
1379                MATOP_LUFACTOR_SYMBOLIC=25,
1380                MATOP_LUFACTOR_NUMERIC=26,
1381                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1382                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1383                MATOP_SETUP_PREALLOCATION=29,
1384                MATOP_ILUFACTOR_SYMBOLIC=30,
1385                MATOP_ICCFACTOR_SYMBOLIC=31,
1386                /* MATOP_PLACEHOLDER_32=32, */
1387                /* MATOP_PLACEHOLDER_33=33, */
1388                MATOP_DUPLICATE=34,
1389                MATOP_FORWARD_SOLVE=35,
1390                MATOP_BACKWARD_SOLVE=36,
1391                MATOP_ILUFACTOR=37,
1392                MATOP_ICCFACTOR=38,
1393                MATOP_AXPY=39,
1394                MATOP_GET_SUBMATRICES=40,
1395                MATOP_INCREASE_OVERLAP=41,
1396                MATOP_GET_VALUES=42,
1397                MATOP_COPY=43,
1398                MATOP_GET_ROW_MAX=44,
1399                MATOP_SCALE=45,
1400                MATOP_SHIFT=46,
1401                MATOP_DIAGONAL_SET=47,
1402                MATOP_ZERO_ROWS_COLUMNS=48,
1403                MATOP_SET_RANDOM=49,
1404                MATOP_GET_ROW_IJ=50,
1405                MATOP_RESTORE_ROW_IJ=51,
1406                MATOP_GET_COLUMN_IJ=52,
1407                MATOP_RESTORE_COLUMN_IJ=53,
1408                MATOP_FDCOLORING_CREATE=54,
1409                MATOP_COLORING_PATCH=55,
1410                MATOP_SET_UNFACTORED=56,
1411                MATOP_PERMUTE=57,
1412                MATOP_SET_VALUES_BLOCKED=58,
1413                MATOP_GET_SUBMATRIX=59,
1414                MATOP_DESTROY=60,
1415                MATOP_VIEW=61,
1416                MATOP_CONVERT_FROM=62,
1417                MATOP_MATMAT_MULT=63,
1418                MATOP_MATMAT_MULT_SYMBOLIC=64,
1419                MATOP_MATMAT_MULT_NUMERIC=65,
1420                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1421                MATOP_SET_VALUES_LOCAL=67,
1422                MATOP_ZERO_ROWS_LOCAL=68,
1423                MATOP_GET_ROW_MAX_ABS=69,
1424                MATOP_GET_ROW_MIN_ABS=70,
1425                MATOP_CONVERT=71,
1426                MATOP_SET_COLORING=72,
1427                /* MATOP_PLACEHOLDER_73=73, */
1428                MATOP_SET_VALUES_ADIFOR=74,
1429                MATOP_FD_COLORING_APPLY=75,
1430                MATOP_SET_FROM_OPTIONS=76,
1431                MATOP_MULT_CONSTRAINED=77,
1432                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1433                MATOP_FIND_ZERO_DIAGONALS=79,
1434                MATOP_MULT_MULTIPLE=80,
1435                MATOP_SOLVE_MULTIPLE=81,
1436                MATOP_GET_INERTIA=82,
1437                MATOP_LOAD=83,
1438                MATOP_IS_SYMMETRIC=84,
1439                MATOP_IS_HERMITIAN=85,
1440                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1441                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1442                MATOP_GET_VECS=88,
1443                MATOP_MAT_MULT=89,
1444                MATOP_MAT_MULT_SYMBOLIC=90,
1445                MATOP_MAT_MULT_NUMERIC=91,
1446                MATOP_PTAP=92,
1447                MATOP_PTAP_SYMBOLIC=93,
1448                MATOP_PTAP_NUMERIC=94,
1449                MATOP_MAT_TRANSPOSE_MULT=95,
1450                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1451                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1452                /* MATOP_PLACEHOLDER_98=98, */
1453                /* MATOP_PLACEHOLDER_99=99, */
1454                /* MATOP_PLACEHOLDER_100=100, */
1455                /* MATOP_PLACEHOLDER_101=101, */
1456                MATOP_CONJUGATE=102,
1457                /* MATOP_PLACEHOLDER_103=103, */
1458                MATOP_SET_VALUES_ROW=104,
1459                MATOP_REAL_PART=105,
1460                MATOP_IMAGINARY_PART=106,
1461                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1462                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1463                MATOP_MAT_SOLVE=109,
1464                MATOP_GET_REDUNDANT_MATRIX=110,
1465                MATOP_GET_ROW_MIN=111,
1466                MATOP_GET_COLUMN_VECTOR=112,
1467                MATOP_MISSING_DIAGONAL=113,
1468                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1469                MATOP_CREATE=115,
1470                MATOP_GET_GHOSTS=116,
1471                MATOP_GET_LOCAL_SUB_MATRIX=117,
1472                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1473                MATOP_MULT_DIAGONAL_BLOCK=119,
1474                MATOP_HERMITIAN_TRANSPOSE=120,
1475                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1476                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1477                MATOP_GET_MULTI_PROC_BLOCK=123,
1478                MATOP_FIND_NONZERO_ROWS=124,
1479                MATOP_GET_COLUMN_NORMS=125,
1480                MATOP_INVERT_BLOCK_DIAGONAL=126,
1481                /* MATOP_PLACEHOLDER_127=127, */
1482                MATOP_GET_SUB_MATRICES_PARALLE=128,
1483                MATOP_SET_VALUES_BATCH=129,
1484                MATOP_TRANSPOSE_MAT_MULT=130,
1485                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1486                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1487                MATOP_TRANSPOSE_COLORING_CREAT=133,
1488                MATOP_TRANS_COLORING_APPLY_SPT=134,
1489                MATOP_TRANS_COLORING_APPLY_DEN=135,
1490                MATOP_RART=136,
1491                MATOP_RART_SYMBOLIC=137,
1492                MATOP_RART_NUMERIC=138,
1493                MATOP_SET_BLOCK_SIZES=139,
1494                MATOP_AYPX=140,
1495                MATOP_RESIDUAL=141,
1496                MATOP_FDCOLORING_SETUP=142,
1497                MATOP_MPICONCATENATESEQ=144
1498              } MatOperation;
1499 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1500 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1501 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1502 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1503 
1504 /*
1505    Codes for matrices stored on disk. By default they are
1506    stored in a universal format. By changing the format with
1507    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1508    be stored in a way natural for the matrix, for example dense matrices
1509    would be stored as dense. Matrices stored this way may only be
1510    read into matrices of the same type.
1511 */
1512 #define MATRIX_BINARY_FORMAT_DENSE -1
1513 
1514 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1515 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1516 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1517 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1518 
1519 /*S
1520      MatNullSpace - Object that removes a null space from a vector, i.e.
1521          orthogonalizes the vector to a subsapce
1522 
1523    Level: advanced
1524 
1525   Concepts: matrix; linear operator, null space
1526 
1527   Users manual sections:
1528 .   sec_singular
1529 
1530 .seealso:  MatNullSpaceCreate()
1531 S*/
1532 typedef struct _p_MatNullSpace* MatNullSpace;
1533 
1534 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1535 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1536 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1537 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1538 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1539 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1540 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1541 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1542 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1543 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1544 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1545 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1546 
1547 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1548 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1549 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1550 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1551 
1552 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1553 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1554 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1555 
1556 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1557 
1558 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1559 
1560 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1561 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1562 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1563 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1564 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1565 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1566 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1567 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1568 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1569 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1570 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1571 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1572 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1573 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1574 
1575 /*S
1576     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1577               Jacobian vector products
1578 
1579     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1580 
1581            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1582 
1583     Level: developer
1584 
1585 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1586 S*/
1587 typedef struct _p_MatMFFD* MatMFFD;
1588 
1589 /*J
1590     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1591 
1592    Level: beginner
1593 
1594 .seealso: MatMFFDSetType(), MatMFFDRegister()
1595 J*/
1596 typedef const char* MatMFFDType;
1597 #define MATMFFD_DS  "ds"
1598 #define MATMFFD_WP  "wp"
1599 
1600 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1601 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1602 
1603 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1604 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1605 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1606 
1607 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1608 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1609 
1610 /*
1611    PETSc interface to MUMPS
1612 */
1613 #ifdef PETSC_HAVE_MUMPS
1614 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1615 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1616 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1617 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1618 
1619 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1620 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1621 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1622 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1623 #endif
1624 
1625 /*
1626    PETSc interface to Mkl_Pardiso
1627 */
1628 #ifdef PETSC_HAVE_MKL_PARDISO
1629 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1630 #endif
1631 
1632 /*
1633    PETSc interface to SUPERLU
1634 */
1635 #ifdef PETSC_HAVE_SUPERLU
1636 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1637 #endif
1638 
1639 #ifdef PETSC_HAVE_CUDA
1640 /*E
1641     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1642     matrices.
1643 
1644     Not Collective
1645 
1646 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1647 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1648 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1649 
1650     Level: intermediate
1651 
1652    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1653 
1654 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1655 E*/
1656 
1657 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1658 
1659 /* these will be strings associated with enumerated type defined above */
1660 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1661 
1662 /*E
1663     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1664     matrices whose operation should use a particular storage format.
1665 
1666     Not Collective
1667 
1668 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1669 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1670 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1671 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1672 
1673     Level: intermediate
1674 
1675 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1676 E*/
1677 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1678 
1679 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1680 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1681 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1682 #endif
1683 
1684 #if defined(PETSC_HAVE_CUSP)
1685 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1686 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1687 
1688 /*E
1689     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1690     matrices.
1691 
1692     Not Collective
1693 
1694 +   MAT_CUSP_CSR - Compressed Sparse Row
1695 .   MAT_CUSP_DIA - Diagonal
1696 -   MAT_CUSP_ELL - Ellpack
1697 
1698     Level: intermediate
1699 
1700    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1701 
1702 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1703 E*/
1704 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1705 
1706 /* these will be strings associated with enumerated type defined above */
1707 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1708 
1709 /*E
1710     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1711     matrices whose operation should use a particular storage format.
1712 
1713     Not Collective
1714 
1715 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1716 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1717 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1718 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1719 
1720     Level: intermediate
1721 
1722    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1723 
1724 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1725 E*/
1726 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1727 
1728 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1729 #endif
1730 
1731 #if defined(PETSC_HAVE_VIENNACL)
1732 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1733 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1734 #endif
1735 
1736 /*
1737    PETSc interface to FFTW
1738 */
1739 #if defined(PETSC_HAVE_FFTW)
1740 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1741 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1742 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1743 #endif
1744 
1745 #if defined(PETSC_HAVE_ELEMENTAL)
1746 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1747 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1748 #endif
1749 
1750 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1751 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1752 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1753 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1754 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1755 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1756 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1757 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1758 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1759 
1760 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1761 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1762 
1763 #endif
1764