xref: /petsc/include/petscmat.h (revision fce0c873789145caee477924bfa4ad26b4cd6ea4)
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 MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
213 
214 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
215 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
216 
217 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
219 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
220 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
221 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
222 
223 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 
230 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
234 
235 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
236 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
237 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
238 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
239 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
240 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
241 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
242 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
243 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
244 
245 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
247 
248 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
249 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
250 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
251 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
252 
253 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
254 
255 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
256 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
257 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
258 
259 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
260 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
261 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
262 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
263 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
264 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
265 
266 /* ------------------------------------------------------------*/
267 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
268 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
269 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
270 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
273 
274 /*S
275      MatStencil - Data structure (C struct) for storing information about a single row or
276         column of a matrix as indexed on an associated grid.
277 
278    Fortran usage is different, see MatSetValuesStencil() for details.
279 
280    Level: beginner
281 
282   Concepts: matrix; linear operator
283 
284 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
285 S*/
286 typedef struct {
287   PetscInt k,j,i,c;
288 } MatStencil;
289 
290 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
291 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
292 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
293 
294 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
295 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
296 
297 /*E
298     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
299      to continue to add values to it
300 
301     Level: beginner
302 
303 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
304 E*/
305 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
306 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
307 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
308 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
309 
310 
311 
312 /*E
313     MatOption - Options that may be set for a matrix and its behavior or storage
314 
315     Level: beginner
316 
317    Any additions/changes here MUST also be made in include/finclude/petscmat.h
318 
319    Developer Notes: Entries that are negative need not be called collectively by all processes.
320 
321 .seealso: MatSetOption()
322 E*/
323 typedef enum {MAT_OPTION_MIN = -5,
324               MAT_NEW_NONZERO_LOCATION_ERR = -4,
325               MAT_UNUSED_NONZERO_LOCATION_ERR = -3,
326               MAT_NEW_NONZERO_ALLOCATION_ERR = -2,
327               MAT_ROW_ORIENTED = -1,
328               MAT_SYMMETRIC = 1,
329               MAT_STRUCTURALLY_SYMMETRIC = 2,
330               MAT_NEW_DIAGONALS = 3,
331               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
332               MAT_USE_HASH_TABLE = 5,
333               MAT_KEEP_NONZERO_PATTERN = 6,
334               MAT_IGNORE_ZERO_ENTRIES = 7,
335               MAT_USE_INODES = 8,
336               MAT_HERMITIAN = 9,
337               MAT_SYMMETRY_ETERNAL = 10,
338               MAT_DUMMY = 11,
339               MAT_IGNORE_LOWER_TRIANGULAR = 12,
340               MAT_ERROR_LOWER_TRIANGULAR = 13,
341               MAT_GETROW_UPPERTRIANGULAR = 14,
342               MAT_SPD = 15,
343               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
344               MAT_NO_OFF_PROC_ENTRIES = 17,
345               MAT_NEW_NONZERO_LOCATIONS = 18,
346               MAT_OPTION_MAX = 19} MatOption;
347 
348 PETSC_EXTERN const char *MatOptions[];
349 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
350 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
351 
352 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
353 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
354 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
355 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
356 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
357 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
358 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
359 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
360 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
361 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
362 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
363 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
366 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
367 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
368 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
369 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
370 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
371 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
372 
373 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
379 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
380 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
385 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
386 
387 /*E
388     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
389   its numerical values copied over or just its nonzero structure.
390 
391     Level: beginner
392 
393    Any additions/changes here MUST also be made in include/finclude/petscmat.h
394 
395 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
396 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
397 $                               have several matrices with the same nonzero pattern.
398 
399 .seealso: MatDuplicate()
400 E*/
401 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
402 
403 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
404 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
405 
406 
407 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
408 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
409 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
410 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
411 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
412 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
415 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
416 
417 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
418 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
419 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
420 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
421 
422 /*S
423      MatInfo - Context of matrix information, used with MatGetInfo()
424 
425    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
426 
427    Level: intermediate
428 
429   Concepts: matrix^nonzero information
430 
431 .seealso:  MatGetInfo(), MatInfoType
432 S*/
433 typedef struct {
434   PetscLogDouble block_size;                         /* block size */
435   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
436   PetscLogDouble memory;                             /* memory allocated */
437   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
438   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
439   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
440   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
441 } MatInfo;
442 
443 /*E
444     MatInfoType - Indicates if you want information about the local part of the matrix,
445      the entire parallel matrix or the maximum over all the local parts.
446 
447     Level: beginner
448 
449    Any additions/changes here MUST also be made in include/finclude/petscmat.h
450 
451 .seealso: MatGetInfo(), MatInfo
452 E*/
453 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
454 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
455 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
456 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
457 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
458 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
459 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
460 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
461 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
462 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
463 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
464 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
465 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
466 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
467 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
468 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
469 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
470 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
471 
472 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
473 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
474 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
475 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
476 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
477 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
478 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
479 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
480 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
481 
482 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
483 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
484 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
485 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
486 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
487 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
488 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
489 
490 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
491 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
492 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
493 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
494 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
495 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
496 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
497 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
498 
499 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
500 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
501 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
502 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
503 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
504 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
505 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
506 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
507 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
508 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
509 
510 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
511 
512 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
515 
516 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
519 
520 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
523 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
526 
527 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
530 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
533 
534 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
535 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
536 
537 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
538 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
539 
540 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
541 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
542 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
543 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
548 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
549 
550 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
551 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
552 
553 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
557 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
558 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
559 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
560 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
561 
562 /*MC
563    MatSetValue - Set a single entry into a matrix.
564 
565    Not collective
566 
567    Input Parameters:
568 +  m - the matrix
569 .  row - the row location of the entry
570 .  col - the column location of the entry
571 .  value - the value to insert
572 -  mode - either INSERT_VALUES or ADD_VALUES
573 
574    Notes:
575    For efficiency one should use MatSetValues() and set several or many
576    values simultaneously if possible.
577 
578    Level: beginner
579 
580 .seealso: MatSetValues(), MatSetValueLocal()
581 M*/
582 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
583 
584 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
585 
586 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
587 
588 /*MC
589    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
590        row in a matrix providing the data that one can use to correctly preallocate the matrix.
591 
592    Synopsis:
593    #include <petscmat.h>
594    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
595 
596    Collective on MPI_Comm
597 
598    Input Parameters:
599 +  comm - the communicator that will share the eventually allocated matrix
600 .  nrows - the number of LOCAL rows in the matrix
601 -  ncols - the number of LOCAL columns in the matrix
602 
603    Output Parameters:
604 +  dnz - the array that will be passed to the matrix preallocation routines
605 -  ozn - the other array passed to the matrix preallocation routines
606 
607    Level: intermediate
608 
609    Notes:
610     See Users-Manual: ch_performance for more details.
611 
612    Do not malloc or free dnz and onz, that is handled internally by these routines
613 
614    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
615 
616    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
617 
618   Concepts: preallocation^Matrix
619 
620 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
621           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
622 M*/
623 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
624 { \
625   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
626   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
627   __start = 0; __end = __start;                                         \
628   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
629   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
630 
631 /*MC
632    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
633        inserted using a local number of the rows and columns
634 
635    Synopsis:
636    #include <petscmat.h>
637    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
638 
639    Not Collective
640 
641    Input Parameters:
642 +  map - the row mapping from local numbering to global numbering
643 .  nrows - the number of rows indicated
644 .  rows - the indices of the rows
645 .  cmap - the column mapping from local to global numbering
646 .  ncols - the number of columns in the matrix
647 .  cols - the columns indicated
648 .  dnz - the array that will be passed to the matrix preallocation routines
649 -  ozn - the other array passed to the matrix preallocation routines
650 
651    Level: intermediate
652 
653    Notes:
654     See Users-Manual: ch_performance for more details.
655 
656    Do not malloc or free dnz and onz, that is handled internally by these routines
657 
658   Concepts: preallocation^Matrix
659 
660 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
661           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
662 M*/
663 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
664 {\
665   PetscInt __l;\
666   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
667   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
668   for (__l=0;__l<nrows;__l++) {\
669     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
670   }\
671 }
672 
673 /*MC
674    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
675        inserted using a local number of the rows and columns
676 
677    Synopsis:
678    #include <petscmat.h>
679    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
680 
681    Not Collective
682 
683    Input Parameters:
684 +  map - the row mapping from local numbering to global numbering
685 .  nrows - the number of rows indicated
686 .  rows - the indices of the rows
687 .  cmap - the column mapping from local to global numbering
688 .  ncols - the number of columns in the matrix
689 .  cols - the columns indicated
690 .  dnz - the array that will be passed to the matrix preallocation routines
691 -  ozn - the other array passed to the matrix preallocation routines
692 
693    Level: intermediate
694 
695    Notes:
696     See Users-Manual: ch_performance for more details.
697 
698    Do not malloc or free dnz and onz, that is handled internally by these routines
699 
700   Concepts: preallocation^Matrix
701 
702 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
703           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
704 M*/
705 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
706 {\
707   PetscInt __l;\
708   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
709   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
710   for (__l=0;__l<nrows;__l++) {\
711     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
712   }\
713 }
714 
715 /*MC
716    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
717        inserted using a local number of the rows and columns
718 
719    Synopsis:
720    #include <petscmat.h>
721    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
722 
723    Not Collective
724 
725    Input Parameters:
726 +  map - the mapping between local numbering and global numbering
727 .  nrows - the number of rows indicated
728 .  rows - the indices of the rows
729 .  ncols - the number of columns in the matrix
730 .  cols - the columns indicated
731 .  dnz - the array that will be passed to the matrix preallocation routines
732 -  ozn - the other array passed to the matrix preallocation routines
733 
734    Level: intermediate
735 
736    Notes:
737     See Users-Manual: ch_performance for more details.
738 
739    Do not malloc or free dnz and onz that is handled internally by these routines
740 
741   Concepts: preallocation^Matrix
742 
743 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
744           MatPreallocateInitialize(),  MatPreallocateSetLocal()
745 M*/
746 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
747 {\
748   PetscInt __l;\
749   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
750   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
751   for (__l=0;__l<nrows;__l++) {\
752     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
753   }\
754 }
755 /*MC
756    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
757        inserted using a local number of the rows and columns
758 
759    Synopsis:
760    #include <petscmat.h>
761    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
762 
763    Not Collective
764 
765    Input Parameters:
766 +  row - the row
767 .  ncols - the number of columns in the matrix
768 -  cols - the columns indicated
769 
770    Output Parameters:
771 +  dnz - the array that will be passed to the matrix preallocation routines
772 -  ozn - the other array passed to the matrix preallocation routines
773 
774    Level: intermediate
775 
776    Notes:
777     See Users-Manual: ch_performance for more details.
778 
779    Do not malloc or free dnz and onz that is handled internally by these routines
780 
781    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
782 
783   Concepts: preallocation^Matrix
784 
785 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
786           MatPreallocateInitialize(), MatPreallocateSetLocal()
787 M*/
788 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
789 { PetscInt __i; \
790   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);\
791   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);\
792   for (__i=0; __i<nc; __i++) {\
793     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
794     else dnz[row - __rstart]++;\
795   }\
796 }
797 
798 /*MC
799    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
800        inserted using a local number of the rows and columns
801 
802    Synopsis:
803    #include <petscmat.h>
804    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
805 
806    Not Collective
807 
808    Input Parameters:
809 +  nrows - the number of rows indicated
810 .  rows - the indices of the rows
811 .  ncols - the number of columns in the matrix
812 .  cols - the columns indicated
813 .  dnz - the array that will be passed to the matrix preallocation routines
814 -  ozn - the other array passed to the matrix preallocation routines
815 
816    Level: intermediate
817 
818    Notes:
819     See Users-Manual: ch_performance for more details.
820 
821    Do not malloc or free dnz and onz that is handled internally by these routines
822 
823    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
824 
825   Concepts: preallocation^Matrix
826 
827 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
828           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
829 M*/
830 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
831 { PetscInt __i; \
832   for (__i=0; __i<nc; __i++) {\
833     if (cols[__i] >= __end) onz[row - __rstart]++; \
834     else if (cols[__i] >= row) dnz[row - __rstart]++;\
835   }\
836 }
837 
838 /*MC
839    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
840 
841    Synopsis:
842    #include <petscmat.h>
843    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
844 
845    Not Collective
846 
847    Input Parameters:
848 .  A - matrix
849 .  row - row where values exist (must be local to this process)
850 .  ncols - number of columns
851 .  cols - columns with nonzeros
852 .  dnz - the array that will be passed to the matrix preallocation routines
853 -  ozn - the other array passed to the matrix preallocation routines
854 
855    Level: intermediate
856 
857    Notes:
858     See Users-Manual: ch_performance for more details.
859 
860    Do not malloc or free dnz and onz that is handled internally by these routines
861 
862    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
863 
864   Concepts: preallocation^Matrix
865 
866 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
867           MatPreallocateSymmetricSetLocalBlock()
868 M*/
869 #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);}
870 
871 
872 /*MC
873    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
874        row in a matrix providing the data that one can use to correctly preallocate the matrix.
875 
876    Synopsis:
877    #include <petscmat.h>
878    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
879 
880    Collective on MPI_Comm
881 
882    Input Parameters:
883 +  dnz - the array that was be passed to the matrix preallocation routines
884 -  ozn - the other array passed to the matrix preallocation routines
885 
886    Level: intermediate
887 
888    Notes:
889     See Users-Manual: ch_performance for more details.
890 
891    Do not malloc or free dnz and onz that is handled internally by these routines
892 
893    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
894 
895   Concepts: preallocation^Matrix
896 
897 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
898           MatPreallocateSymmetricSetLocalBlock()
899 M*/
900 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
901 
902 /* Routines unique to particular data structures */
903 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
904 
905 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
906 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
907 
908 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
909 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
910 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
911 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
912 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
913 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
914 
915 #define MAT_SKIP_ALLOCATION -4
916 
917 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
918 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
919 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
920 
921 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
922 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
923 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
924 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
925 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
926 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
927 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
928 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
929 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
930 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
931 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
932 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
933 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
934 
935 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
936 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
937 
938 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
939 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
940 
941 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
942 
943 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
944 /*
945   These routines are not usually accessed directly, rather solving is
946   done through the KSP and PC interfaces.
947 */
948 
949 /*J
950     MatOrderingType - String with the name of a PETSc matrix ordering
951 
952    Level: beginner
953 
954 .seealso: MatGetOrdering()
955 J*/
956 typedef const char* MatOrderingType;
957 #define MATORDERINGNATURAL     "natural"
958 #define MATORDERINGND          "nd"
959 #define MATORDERING1WD         "1wd"
960 #define MATORDERINGRCM         "rcm"
961 #define MATORDERINGQMD         "qmd"
962 #define MATORDERINGROWLENGTH   "rowlength"
963 #define MATORDERINGWBM         "wbm"
964 #define MATORDERINGSPECTRAL    "spectral"
965 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
966 
967 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
968 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
969 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
970 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
971 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
972 PETSC_EXTERN PetscFunctionList MatOrderingList;
973 
974 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
975 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
976 
977 /*S
978     MatFactorShiftType - Numeric Shift.
979 
980    Level: beginner
981 
982 S*/
983 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
984 PETSC_EXTERN const char *const MatFactorShiftTypes[];
985 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
986 
987 /*S
988    MatFactorInfo - Data passed into the matrix factorization routines
989 
990    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
991 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
992 
993    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
994 
995       You can use MatFactorInfoInitialize() to set default values.
996 
997    Level: developer
998 
999 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1000           MatFactorInfoInitialize()
1001 
1002 S*/
1003 typedef struct {
1004   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1005   PetscReal     usedt;
1006   PetscReal     dt;             /* drop tolerance */
1007   PetscReal     dtcol;          /* tolerance for pivoting */
1008   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1009   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1010   PetscReal     levels;         /* ICC/ILU(levels) */
1011   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1012                                    factorization may be faster if do not pivot */
1013   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1014   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1015   PetscReal     shiftamount;     /* how large the shift is */
1016 } MatFactorInfo;
1017 
1018 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1019 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1020 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1021 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1022 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1023 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1024 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1025 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1026 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1027 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1028 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1029 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1030 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1031 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1032 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1033 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1034 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1035 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1036 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1037 
1038 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1039 
1040 /*E
1041     MatSORType - What type of (S)SOR to perform
1042 
1043     Level: beginner
1044 
1045    May be bitwise ORd together
1046 
1047    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1048 
1049    MatSORType may be bitwise ORd together, so do not change the numbers
1050 
1051 .seealso: MatSOR()
1052 E*/
1053 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1054               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1055               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1056               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1057 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1058 
1059 /*
1060     These routines are for efficiently computing Jacobians via finite differences.
1061 */
1062 
1063 /*S
1064      MatColoring - Object for managing the coloring of matrices.
1065 
1066    Level: beginner
1067 
1068   Concepts: matrix, coloring
1069 
1070 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1071 S*/
1072 typedef struct _p_MatColoring* MatColoring;
1073 /*J
1074     MatColoringType - String with the name of a PETSc matrix coloring
1075 
1076    Level: beginner
1077 
1078 .seealso: MatColoringSetType(), MatColoring
1079 J*/
1080 
1081 typedef const  char*           MatColoringType;
1082 #define MATCOLORINGJP      "jp"
1083 #define MATCOLORINGPOWER   "power"
1084 #define MATCOLORINGNATURAL "natural"
1085 #define MATCOLORINGSL      "sl"
1086 #define MATCOLORINGLF      "lf"
1087 #define MATCOLORINGID      "id"
1088 #define MATCOLORINGGREEDY  "greedy"
1089 
1090 /*E
1091    MatColoringWeightType - Type of weight scheme
1092 
1093     Not Collective
1094 
1095 +   MAT_COLORING_RANDOM  - Random weights
1096 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1097 -   MAT_COLORING_LF      - Last-first weighting.
1098 
1099     Level: intermediate
1100 
1101    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1102 
1103 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1104 E*/
1105 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1106 
1107 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1108 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1109 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1110 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1111 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1112 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1113 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1114 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1115 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1116 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1117 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1118 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1119 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1120 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1121 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1122 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1123 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1124 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1125 
1126 /*S
1127      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1128         and coloring
1129 
1130    Level: beginner
1131 
1132   Concepts: coloring, sparse Jacobian, finite differences
1133 
1134 .seealso:  MatFDColoringCreate()
1135 S*/
1136 typedef struct _p_MatFDColoring* MatFDColoring;
1137 
1138 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1139 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1140 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1141 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1142 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1143 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1144 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1145 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1146 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1147 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1148 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1149 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1150 
1151 
1152 /*S
1153      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1154 
1155    Level: beginner
1156 
1157   Concepts: coloring, sparse matrix product
1158 
1159 .seealso:  MatTransposeColoringCreate()
1160 S*/
1161 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1162 
1163 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1164 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1165 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1166 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1167 
1168 /*
1169     These routines are for partitioning matrices: currently used only
1170   for adjacency matrix, MatCreateMPIAdj().
1171 */
1172 
1173 /*S
1174      MatPartitioning - Object for managing the partitioning of a matrix or graph
1175 
1176    Level: beginner
1177 
1178   Concepts: partitioning
1179 
1180 .seealso:  MatPartitioningCreate(), MatPartitioningType
1181 S*/
1182 typedef struct _p_MatPartitioning* MatPartitioning;
1183 
1184 /*J
1185     MatPartitioningType - String with the name of a PETSc matrix partitioning
1186 
1187    Level: beginner
1188 dm
1189 .seealso: MatPartitioningCreate(), MatPartitioning
1190 J*/
1191 typedef const char* MatPartitioningType;
1192 #define MATPARTITIONINGCURRENT  "current"
1193 #define MATPARTITIONINGSQUARE   "square"
1194 #define MATPARTITIONINGPARMETIS "parmetis"
1195 #define MATPARTITIONINGCHACO    "chaco"
1196 #define MATPARTITIONINGPARTY    "party"
1197 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1198 
1199 
1200 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1201 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1202 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1203 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1204 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1205 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1206 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1207 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1208 
1209 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1210 
1211 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1212 
1213 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1214 
1215 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1216 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1217 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1218 
1219 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1221 
1222 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1223 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1224 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1225 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1226 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1227 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1228 
1229 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1230 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1231 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1233 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1234 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1235 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1236 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1237 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1240 
1241 #define MP_PARTY_OPT "opt"
1242 #define MP_PARTY_LIN "lin"
1243 #define MP_PARTY_SCA "sca"
1244 #define MP_PARTY_RAN "ran"
1245 #define MP_PARTY_GBF "gbf"
1246 #define MP_PARTY_GCF "gcf"
1247 #define MP_PARTY_BUB "bub"
1248 #define MP_PARTY_DEF "def"
1249 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1250 #define MP_PARTY_HELPFUL_SETS "hs"
1251 #define MP_PARTY_KERNIGHAN_LIN "kl"
1252 #define MP_PARTY_NONE "no"
1253 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1254 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1255 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1256 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1257 
1258 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1259 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1260 
1261 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1262 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1263 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1264 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1265 
1266 /*
1267     These routines are for coarsening matrices:
1268 */
1269 
1270 /*S
1271      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1272 
1273    Level: beginner
1274 
1275   Concepts: coarsen
1276 
1277 .seealso:  MatCoarsenCreate), MatCoarsenType
1278 S*/
1279 typedef struct _p_MatCoarsen* MatCoarsen;
1280 
1281 /*J
1282     MatCoarsenType - String with the name of a PETSc matrix coarsen
1283 
1284    Level: beginner
1285 
1286 .seealso: MatCoarsenCreate(), MatCoarsen
1287 J*/
1288 typedef const char* MatCoarsenType;
1289 #define MATCOARSENMIS  "mis"
1290 #define MATCOARSENHEM  "hem"
1291 
1292 /* linked list for aggregates */
1293 typedef struct _PetscCDIntNd{
1294   struct _PetscCDIntNd *next;
1295   PetscInt             gid;
1296 }PetscCDIntNd;
1297 
1298 /* only used by node pool */
1299 typedef struct _PetscCDArrNd{
1300   struct _PetscCDArrNd *next;
1301   struct _PetscCDIntNd *array;
1302 }PetscCDArrNd;
1303 
1304 typedef struct _PetscCoarsenData{
1305   PetscCDArrNd pool_list;  /* node pool */
1306   PetscCDIntNd *new_node;
1307   PetscInt     new_left;
1308   PetscInt     chk_sz;
1309   PetscCDIntNd *extra_nodes;
1310   PetscCDIntNd **array;  /* Array of lists */
1311   PetscInt     size;
1312   Mat          mat;  /* cache a Mat for communication data */
1313 }PetscCoarsenData;
1314 
1315 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1316 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1317 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1318 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1319 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1320 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1321 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1322 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1323 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1324 
1325 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1326 
1327 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1328 
1329 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1330 
1331 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1332 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1333 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1334 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1335 
1336 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1337 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1338 
1339 /*
1340     If you add entries here you must also add them to finclude/petscmat.h
1341 */
1342 typedef enum { MATOP_SET_VALUES=0,
1343                MATOP_GET_ROW=1,
1344                MATOP_RESTORE_ROW=2,
1345                MATOP_MULT=3,
1346                MATOP_MULT_ADD=4,
1347                MATOP_MULT_TRANSPOSE=5,
1348                MATOP_MULT_TRANSPOSE_ADD=6,
1349                MATOP_SOLVE=7,
1350                MATOP_SOLVE_ADD=8,
1351                MATOP_SOLVE_TRANSPOSE=9,
1352                MATOP_SOLVE_TRANSPOSE_ADD=10,
1353                MATOP_LUFACTOR=11,
1354                MATOP_CHOLESKYFACTOR=12,
1355                MATOP_SOR=13,
1356                MATOP_TRANSPOSE=14,
1357                MATOP_GETINFO=15,
1358                MATOP_EQUAL=16,
1359                MATOP_GET_DIAGONAL=17,
1360                MATOP_DIAGONAL_SCALE=18,
1361                MATOP_NORM=19,
1362                MATOP_ASSEMBLY_BEGIN=20,
1363                MATOP_ASSEMBLY_END=21,
1364                MATOP_SET_OPTION=22,
1365                MATOP_ZERO_ENTRIES=23,
1366                MATOP_ZERO_ROWS=24,
1367                MATOP_LUFACTOR_SYMBOLIC=25,
1368                MATOP_LUFACTOR_NUMERIC=26,
1369                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1370                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1371                MATOP_SETUP_PREALLOCATION=29,
1372                MATOP_ILUFACTOR_SYMBOLIC=30,
1373                MATOP_ICCFACTOR_SYMBOLIC=31,
1374                /* MATOP_PLACEHOLDER_32=32, */
1375                /* MATOP_PLACEHOLDER_33=33, */
1376                MATOP_DUPLICATE=34,
1377                MATOP_FORWARD_SOLVE=35,
1378                MATOP_BACKWARD_SOLVE=36,
1379                MATOP_ILUFACTOR=37,
1380                MATOP_ICCFACTOR=38,
1381                MATOP_AXPY=39,
1382                MATOP_GET_SUBMATRICES=40,
1383                MATOP_INCREASE_OVERLAP=41,
1384                MATOP_GET_VALUES=42,
1385                MATOP_COPY=43,
1386                MATOP_GET_ROW_MAX=44,
1387                MATOP_SCALE=45,
1388                MATOP_SHIFT=46,
1389                MATOP_DIAGONAL_SET=47,
1390                MATOP_ZERO_ROWS_COLUMNS=48,
1391                MATOP_SET_RANDOM=49,
1392                MATOP_GET_ROW_IJ=50,
1393                MATOP_RESTORE_ROW_IJ=51,
1394                MATOP_GET_COLUMN_IJ=52,
1395                MATOP_RESTORE_COLUMN_IJ=53,
1396                MATOP_FDCOLORING_CREATE=54,
1397                MATOP_COLORING_PATCH=55,
1398                MATOP_SET_UNFACTORED=56,
1399                MATOP_PERMUTE=57,
1400                MATOP_SET_VALUES_BLOCKED=58,
1401                MATOP_GET_SUBMATRIX=59,
1402                MATOP_DESTROY=60,
1403                MATOP_VIEW=61,
1404                MATOP_CONVERT_FROM=62,
1405                MATOP_MATMAT_MULT=63,
1406                MATOP_MATMAT_MULT_SYMBOLIC=64,
1407                MATOP_MATMAT_MULT_NUMERIC=65,
1408                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1409                MATOP_SET_VALUES_LOCAL=67,
1410                MATOP_ZERO_ROWS_LOCAL=68,
1411                MATOP_GET_ROW_MAX_ABS=69,
1412                MATOP_GET_ROW_MIN_ABS=70,
1413                MATOP_CONVERT=71,
1414                MATOP_SET_COLORING=72,
1415                /* MATOP_PLACEHOLDER_73=73, */
1416                MATOP_SET_VALUES_ADIFOR=74,
1417                MATOP_FD_COLORING_APPLY=75,
1418                MATOP_SET_FROM_OPTIONS=76,
1419                MATOP_MULT_CONSTRAINED=77,
1420                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1421                MATOP_FIND_ZERO_DIAGONALS=79,
1422                MATOP_MULT_MULTIPLE=80,
1423                MATOP_SOLVE_MULTIPLE=81,
1424                MATOP_GET_INERTIA=82,
1425                MATOP_LOAD=83,
1426                MATOP_IS_SYMMETRIC=84,
1427                MATOP_IS_HERMITIAN=85,
1428                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1429                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1430                MATOP_GET_VECS=88,
1431                MATOP_MAT_MULT=89,
1432                MATOP_MAT_MULT_SYMBOLIC=90,
1433                MATOP_MAT_MULT_NUMERIC=91,
1434                MATOP_PTAP=92,
1435                MATOP_PTAP_SYMBOLIC=93,
1436                MATOP_PTAP_NUMERIC=94,
1437                MATOP_MAT_TRANSPOSE_MULT=95,
1438                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1439                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1440                /* MATOP_PLACEHOLDER_98=98, */
1441                /* MATOP_PLACEHOLDER_99=99, */
1442                /* MATOP_PLACEHOLDER_100=100, */
1443                /* MATOP_PLACEHOLDER_101=101, */
1444                MATOP_CONJUGATE=102,
1445                /* MATOP_PLACEHOLDER_103=103, */
1446                MATOP_SET_VALUES_ROW=104,
1447                MATOP_REAL_PART=105,
1448                MATOP_IMAGINARY_PART=106,
1449                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1450                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1451                MATOP_MAT_SOLVE=109,
1452                MATOP_GET_REDUNDANT_MATRIX=110,
1453                MATOP_GET_ROW_MIN=111,
1454                MATOP_GET_COLUMN_VECTOR=112,
1455                MATOP_MISSING_DIAGONAL=113,
1456                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1457                MATOP_CREATE=115,
1458                MATOP_GET_GHOSTS=116,
1459                MATOP_GET_LOCAL_SUB_MATRIX=117,
1460                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1461                MATOP_MULT_DIAGONAL_BLOCK=119,
1462                MATOP_HERMITIAN_TRANSPOSE=120,
1463                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1464                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1465                MATOP_GET_MULTI_PROC_BLOCK=123,
1466                MATOP_FIND_NONZERO_ROWS=124,
1467                MATOP_GET_COLUMN_NORMS=125,
1468                MATOP_INVERT_BLOCK_DIAGONAL=126,
1469                /* MATOP_PLACEHOLDER_127=127, */
1470                MATOP_GET_SUB_MATRICES_PARALLE=128,
1471                MATOP_SET_VALUES_BATCH=129,
1472                MATOP_TRANSPOSE_MAT_MULT=130,
1473                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1474                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1475                MATOP_TRANSPOSE_COLORING_CREAT=133,
1476                MATOP_TRANS_COLORING_APPLY_SPT=134,
1477                MATOP_TRANS_COLORING_APPLY_DEN=135,
1478                MATOP_RART=136,
1479                MATOP_RART_SYMBOLIC=137,
1480                MATOP_RART_NUMERIC=138,
1481                MATOP_SET_BLOCK_SIZES=139,
1482                MATOP_AYPX=140,
1483                MATOP_RESIDUAL=141,
1484                MATOP_FDCOLORING_SETUP= 142
1485              } MatOperation;
1486 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1487 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1488 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1489 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1490 
1491 /*
1492    Codes for matrices stored on disk. By default they are
1493    stored in a universal format. By changing the format with
1494    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1495    be stored in a way natural for the matrix, for example dense matrices
1496    would be stored as dense. Matrices stored this way may only be
1497    read into matrices of the same type.
1498 */
1499 #define MATRIX_BINARY_FORMAT_DENSE -1
1500 
1501 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1502 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1503 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1504 
1505 /*S
1506      MatNullSpace - Object that removes a null space from a vector, i.e.
1507          orthogonalizes the vector to a subsapce
1508 
1509    Level: advanced
1510 
1511   Concepts: matrix; linear operator, null space
1512 
1513   Users manual sections:
1514 .   sec_singular
1515 
1516 .seealso:  MatNullSpaceCreate()
1517 S*/
1518 typedef struct _p_MatNullSpace* MatNullSpace;
1519 
1520 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1521 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1522 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1523 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1524 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1525 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1526 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1527 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1528 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1529 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1530 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1531 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1532 
1533 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1534 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1535 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1536 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1537 
1538 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1539 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1540 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1541 
1542 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1543 
1544 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1545 
1546 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1547 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1548 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1549 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1550 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1551 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1552 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1553 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1554 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1555 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1556 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1557 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1558 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1559 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1560 
1561 /*S
1562     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1563               Jacobian vector products
1564 
1565     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1566 
1567            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1568 
1569     Level: developer
1570 
1571 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1572 S*/
1573 typedef struct _p_MatMFFD* MatMFFD;
1574 
1575 /*J
1576     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1577 
1578    Level: beginner
1579 
1580 .seealso: MatMFFDSetType(), MatMFFDRegister()
1581 J*/
1582 typedef const char* MatMFFDType;
1583 #define MATMFFD_DS  "ds"
1584 #define MATMFFD_WP  "wp"
1585 
1586 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1587 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1588 
1589 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1590 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1591 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1592 
1593 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1594 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1595 
1596 /*
1597    PETSc interface to MUMPS
1598 */
1599 #ifdef PETSC_HAVE_MUMPS
1600 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1601 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1602 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1603 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1604 
1605 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1606 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1607 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1608 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1609 #endif
1610 
1611 /*
1612    PETSc interface to Mkl_Pardiso
1613 */
1614 #ifdef PETSC_HAVE_MKL_PARDISO
1615 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1616 #endif
1617 
1618 /*
1619    PETSc interface to SUPERLU
1620 */
1621 #ifdef PETSC_HAVE_SUPERLU
1622 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1623 #endif
1624 
1625 #ifdef PETSC_HAVE_CUDA
1626 /*E
1627     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1628     matrices.
1629 
1630     Not Collective
1631 
1632 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1633 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1634 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1635 
1636     Level: intermediate
1637 
1638    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1639 
1640 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1641 E*/
1642 
1643 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1644 
1645 /* these will be strings associated with enumerated type defined above */
1646 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1647 
1648 /*E
1649     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1650     matrices whose operation should use a particular storage format.
1651 
1652     Not Collective
1653 
1654 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1655 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1656 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1657 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1658 
1659     Level: intermediate
1660 
1661 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1662 E*/
1663 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1664 
1665 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1666 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1667 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1668 #endif
1669 
1670 #if defined(PETSC_HAVE_CUSP)
1671 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1672 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1673 
1674 /*E
1675     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1676     matrices.
1677 
1678     Not Collective
1679 
1680 +   MAT_CUSP_CSR - Compressed Sparse Row
1681 .   MAT_CUSP_DIA - Diagonal
1682 -   MAT_CUSP_ELL - Ellpack
1683 
1684     Level: intermediate
1685 
1686    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1687 
1688 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1689 E*/
1690 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1691 
1692 /* these will be strings associated with enumerated type defined above */
1693 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1694 
1695 /*E
1696     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1697     matrices whose operation should use a particular storage format.
1698 
1699     Not Collective
1700 
1701 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1702 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1703 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1704 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1705 
1706     Level: intermediate
1707 
1708    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1709 
1710 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1711 E*/
1712 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1713 
1714 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1715 #endif
1716 
1717 #if defined(PETSC_HAVE_VIENNACL)
1718 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1719 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1720 #endif
1721 
1722 /*
1723    PETSc interface to FFTW
1724 */
1725 #if defined(PETSC_HAVE_FFTW)
1726 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1727 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1728 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1729 #endif
1730 
1731 #if defined(PETSC_HAVE_ELEMENTAL)
1732 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1733 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1734 #endif
1735 
1736 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1737 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1738 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1739 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1740 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1741 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1742 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1743 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1744 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1745 
1746 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1747 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1748 
1749 #endif
1750