xref: /petsc/include/petscmat.h (revision ffad99011bdf8bdff5e8540ef3c49b4fd8d6e6bb)
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 MATSOLVERPASTIX       "pastix"
110 #define MATSOLVERMATLAB       "matlab"
111 #define MATSOLVERPETSC        "petsc"
112 #define MATSOLVERBAS          "bas"
113 #define MATSOLVERCUSPARSE     "cusparse"
114 #define MATSOLVERBSTRM        "bstrm"
115 #define MATSOLVERSBSTRM       "sbstrm"
116 #define MATSOLVERELEMENTAL    "elemental"
117 #define MATSOLVERCLIQUE       "clique"
118 
119 /*E
120     MatFactorType - indicates what type of factorization is requested
121 
122     Level: beginner
123 
124    Any additions/changes here MUST also be made in include/finclude/petscmat.h
125 
126 .seealso: MatSolverPackage, MatGetFactor()
127 E*/
128 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
129 PETSC_EXTERN const char *const MatFactorTypes[];
130 
131 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
132 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
133 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
134 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
135 
136 /* Logging support */
137 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
138 PETSC_EXTERN PetscClassId MAT_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
145 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
146 
147 /*E
148     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
149      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
150      that the input matrix is to be replaced with the converted matrix.
151 
152     Level: beginner
153 
154    Any additions/changes here MUST also be made in include/finclude/petscmat.h
155 
156 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
157 E*/
158 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
159 
160 /*E
161     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
162      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
163 
164     Level: beginner
165 
166 .seealso: MatGetSeqNonzerostructure()
167 E*/
168 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
169 
170 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
171 
172 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
173 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
174 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
175 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
176 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
177 PETSC_EXTERN PetscErrorCode MatRegisterAll(void);
178 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
179 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
180 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
181 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
182 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
183 
184 PETSC_EXTERN PetscBool         MatRegisterAllCalled;
185 PETSC_EXTERN PetscFunctionList MatList;
186 PETSC_EXTERN PetscFunctionList MatColoringList;
187 PETSC_EXTERN PetscFunctionList MatPartitioningList;
188 PETSC_EXTERN PetscFunctionList MatCoarsenList;
189 
190 /*E
191     MatStructure - Indicates if the matrix has the same nonzero structure
192 
193     Level: beginner
194 
195    Any additions/changes here MUST also be made in include/finclude/petscmat.h
196 
197 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
198 E*/
199 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,SAME_PRECONDITIONER} MatStructure;
200 
201 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
202 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
207 
208 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
209 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
211 
212 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
214 
215 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
217 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
218 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
219 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
220 
221 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
227 
228 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
230 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
232 
233 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
234 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
235 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
236 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
237 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
238 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
239 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
240 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
241 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
242 
243 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
244 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
245 
246 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
248 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
249 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
250 
251 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
252 
253 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
254 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
255 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
256 
257 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
258 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
259 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
260 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
261 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
262 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
263 
264 /* ------------------------------------------------------------*/
265 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
266 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
267 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
268 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
269 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
270 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
271 
272 /*S
273      MatStencil - Data structure (C struct) for storing information about a single row or
274         column of a matrix as indexed on an associated grid.
275 
276    Fortran usage is different, see MatSetValuesStencil() for details.
277 
278    Level: beginner
279 
280   Concepts: matrix; linear operator
281 
282 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
283 S*/
284 typedef struct {
285   PetscInt k,j,i,c;
286 } MatStencil;
287 
288 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
289 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
290 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
291 
292 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
293 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
294 
295 /*E
296     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
297      to continue to add values to it
298 
299     Level: beginner
300 
301 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
302 E*/
303 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
304 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
305 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
306 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
307 
308 
309 
310 /*E
311     MatOption - Options that may be set for a matrix and its behavior or storage
312 
313     Level: beginner
314 
315    Any additions/changes here MUST also be made in include/finclude/petscmat.h
316 
317    Developer Notes: Entries that are negative need not be called collectively by all processes.
318 
319 .seealso: MatSetOption()
320 E*/
321 typedef enum {MAT_OPTION_MIN = -8,
322               MAT_NEW_NONZERO_LOCATION_ERR = -7,
323               MAT_NO_OFF_PROC_ZERO_ROWS = -6,
324               MAT_NO_OFF_PROC_ENTRIES = -5,
325               MAT_UNUSED_NONZERO_LOCATION_ERR = -4,
326               MAT_NEW_NONZERO_ALLOCATION_ERR = -3,
327               MAT_ROW_ORIENTED = -2,
328               MAT_NEW_NONZERO_LOCATIONS = -1,
329               MAT_SYMMETRIC = 1,
330               MAT_STRUCTURALLY_SYMMETRIC = 2,
331               MAT_NEW_DIAGONALS = 3,
332               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
333               MAT_USE_HASH_TABLE = 5,
334               MAT_KEEP_NONZERO_PATTERN = 6,
335               MAT_IGNORE_ZERO_ENTRIES = 7,
336               MAT_USE_INODES = 8,
337               MAT_HERMITIAN = 9,
338               MAT_SYMMETRY_ETERNAL = 10,
339               MAT_DUMMY = 11,
340               MAT_IGNORE_LOWER_TRIANGULAR = 12,
341               MAT_ERROR_LOWER_TRIANGULAR = 13,
342               MAT_GETROW_UPPERTRIANGULAR = 14,
343               MAT_SPD = 15,
344               MAT_OPTION_MAX = 16} MatOption;
345 
346 PETSC_EXTERN const char *MatOptions[];
347 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
348 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
349 
350 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
351 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
352 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
353 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
354 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
355 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
356 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
357 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
358 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
359 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
360 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
361 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
362 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
363 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
364 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
365 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
366 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
367 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
368 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
369 
370 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
371 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
376 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
377 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
382 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
383 
384 /*E
385     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
386   its numerical values copied over or just its nonzero structure.
387 
388     Level: beginner
389 
390    Any additions/changes here MUST also be made in include/finclude/petscmat.h
391 
392 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
393 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
394 $                               have several matrices with the same nonzero pattern.
395 
396 .seealso: MatDuplicate()
397 E*/
398 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
399 
400 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
401 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
402 
403 
404 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
405 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
406 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
407 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
408 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
409 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
410 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
411 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
412 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
413 
414 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
415 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
416 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
417 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
418 
419 /*S
420      MatInfo - Context of matrix information, used with MatGetInfo()
421 
422    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
423 
424    Level: intermediate
425 
426   Concepts: matrix^nonzero information
427 
428 .seealso:  MatGetInfo(), MatInfoType
429 S*/
430 typedef struct {
431   PetscLogDouble block_size;                         /* block size */
432   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
433   PetscLogDouble memory;                             /* memory allocated */
434   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
435   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
436   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
437   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
438 } MatInfo;
439 
440 /*E
441     MatInfoType - Indicates if you want information about the local part of the matrix,
442      the entire parallel matrix or the maximum over all the local parts.
443 
444     Level: beginner
445 
446    Any additions/changes here MUST also be made in include/finclude/petscmat.h
447 
448 .seealso: MatGetInfo(), MatInfo
449 E*/
450 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
451 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
452 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
453 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
454 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
455 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
456 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
457 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
458 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
459 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
460 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
461 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
462 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
463 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
464 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
465 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
466 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
467 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
468 
469 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
470 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
471 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
472 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
473 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
474 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
475 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
476 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
477 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
478 
479 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
480 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
481 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
482 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
483 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
484 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
485 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
486 
487 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
488 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
489 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
490 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
491 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
492 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
493 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
494 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
495 
496 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
497 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
498 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
499 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
500 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
501 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
502 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
503 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
504 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
505 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
506 
507 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
508 
509 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
510 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
511 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
512 
513 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
516 
517 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
520 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
523 
524 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
527 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
530 
531 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
532 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
533 
534 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
535 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
536 
537 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
538 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
539 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
540 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
541 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
542 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
543 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
546 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
547 
548 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
549 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
550 
551 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
552 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
555 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
556 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
557 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
558 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
559 
560 /*MC
561    MatSetValue - Set a single entry into a matrix.
562 
563    Not collective
564 
565    Input Parameters:
566 +  m - the matrix
567 .  row - the row location of the entry
568 .  col - the column location of the entry
569 .  value - the value to insert
570 -  mode - either INSERT_VALUES or ADD_VALUES
571 
572    Notes:
573    For efficiency one should use MatSetValues() and set several or many
574    values simultaneously if possible.
575 
576    Level: beginner
577 
578 .seealso: MatSetValues(), MatSetValueLocal()
579 M*/
580 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
581 
582 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
583 
584 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
585 
586 /*MC
587    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
588        row in a matrix providing the data that one can use to correctly preallocate the matrix.
589 
590    Synopsis:
591    #include <petscmat.h>
592    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
593 
594    Collective on MPI_Comm
595 
596    Input Parameters:
597 +  comm - the communicator that will share the eventually allocated matrix
598 .  nrows - the number of LOCAL rows in the matrix
599 -  ncols - the number of LOCAL columns in the matrix
600 
601    Output Parameters:
602 +  dnz - the array that will be passed to the matrix preallocation routines
603 -  ozn - the other array passed to the matrix preallocation routines
604 
605    Level: intermediate
606 
607    Notes:
608     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
609 
610    Do not malloc or free dnz and onz, that is handled internally by these routines
611 
612    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
613 
614    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
615 
616   Concepts: preallocation^Matrix
617 
618 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
619           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
620 M*/
621 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
622 { \
623   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
624   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
625   __start = 0; __end = __start;                                         \
626   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
627   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
628 
629 /*MC
630    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
631        inserted using a local number of the rows and columns
632 
633    Synopsis:
634    #include <petscmat.h>
635    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
636 
637    Not Collective
638 
639    Input Parameters:
640 +  map - the row mapping from local numbering to global numbering
641 .  nrows - the number of rows indicated
642 .  rows - the indices of the rows
643 .  cmap - the column mapping from local to global numbering
644 .  ncols - the number of columns in the matrix
645 .  cols - the columns indicated
646 .  dnz - the array that will be passed to the matrix preallocation routines
647 -  ozn - the other array passed to the matrix preallocation routines
648 
649    Level: intermediate
650 
651    Notes:
652     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
653 
654    Do not malloc or free dnz and onz, that is handled internally by these routines
655 
656   Concepts: preallocation^Matrix
657 
658 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
659           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
660 M*/
661 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
662 {\
663   PetscInt __l;\
664   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
665   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
666   for (__l=0;__l<nrows;__l++) {\
667     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
668   }\
669 }
670 
671 /*MC
672    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
673        inserted using a local number of the rows and columns
674 
675    Synopsis:
676    #include <petscmat.h>
677    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
678 
679    Not Collective
680 
681    Input Parameters:
682 +  map - the mapping between local numbering and global numbering
683 .  nrows - the number of rows indicated
684 .  rows - the indices of the rows
685 .  ncols - the number of columns in the matrix
686 .  cols - the columns indicated
687 .  dnz - the array that will be passed to the matrix preallocation routines
688 -  ozn - the other array passed to the matrix preallocation routines
689 
690    Level: intermediate
691 
692    Notes:
693     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
694 
695    Do not malloc or free dnz and onz that is handled internally by these routines
696 
697   Concepts: preallocation^Matrix
698 
699 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
700           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
701 M*/
702 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
703 {\
704   PetscInt __l;\
705   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
706   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
707   for (__l=0;__l<nrows;__l++) {\
708     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
709   }\
710 }
711 
712 /*MC
713    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
714        inserted using a local number of the rows and columns
715 
716    Synopsis:
717    #include <petscmat.h>
718    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
719 
720    Not Collective
721 
722    Input Parameters:
723 +  row - the row
724 .  ncols - the number of columns in the matrix
725 -  cols - the columns indicated
726 
727    Output Parameters:
728 +  dnz - the array that will be passed to the matrix preallocation routines
729 -  ozn - the other array passed to the matrix preallocation routines
730 
731    Level: intermediate
732 
733    Notes:
734     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
735 
736    Do not malloc or free dnz and onz that is handled internally by these routines
737 
738    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
739 
740   Concepts: preallocation^Matrix
741 
742 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
743           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
744 M*/
745 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
746 { PetscInt __i; \
747   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);\
748   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);\
749   for (__i=0; __i<nc; __i++) {\
750     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
751     else dnz[row - __rstart]++;\
752   }\
753 }
754 
755 /*MC
756    MatPreallocateSymmetricSet - 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 MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
762 
763    Not Collective
764 
765    Input Parameters:
766 +  nrows - the number of rows indicated
767 .  rows - the indices of the rows
768 .  ncols - the number of columns in the matrix
769 .  cols - the columns indicated
770 .  dnz - the array that will be passed to the matrix preallocation routines
771 -  ozn - the other array passed to the matrix preallocation routines
772 
773    Level: intermediate
774 
775    Notes:
776     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
777 
778    Do not malloc or free dnz and onz that is handled internally by these routines
779 
780    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
781 
782   Concepts: preallocation^Matrix
783 
784 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
785           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
786 M*/
787 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
788 { PetscInt __i; \
789   for (__i=0; __i<nc; __i++) {\
790     if (cols[__i] >= __end) onz[row - __rstart]++; \
791     else if (cols[__i] >= row) dnz[row - __rstart]++;\
792   }\
793 }
794 
795 /*MC
796    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
797 
798    Synopsis:
799    #include <petscmat.h>
800    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
801 
802    Not Collective
803 
804    Input Parameters:
805 .  A - matrix
806 .  row - row where values exist (must be local to this process)
807 .  ncols - number of columns
808 .  cols - columns with nonzeros
809 .  dnz - the array that will be passed to the matrix preallocation routines
810 -  ozn - the other array passed to the matrix preallocation routines
811 
812    Level: intermediate
813 
814    Notes:
815     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
816 
817    Do not malloc or free dnz and onz that is handled internally by these routines
818 
819    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
820 
821   Concepts: preallocation^Matrix
822 
823 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
824           MatPreallocateSymmetricSetLocal()
825 M*/
826 #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);}
827 
828 
829 /*MC
830    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
831        row in a matrix providing the data that one can use to correctly preallocate the matrix.
832 
833    Synopsis:
834    #include <petscmat.h>
835    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
836 
837    Collective on MPI_Comm
838 
839    Input Parameters:
840 +  dnz - the array that was be passed to the matrix preallocation routines
841 -  ozn - the other array passed to the matrix preallocation routines
842 
843    Level: intermediate
844 
845    Notes:
846     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
847 
848    Do not malloc or free dnz and onz that is handled internally by these routines
849 
850    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
851 
852   Concepts: preallocation^Matrix
853 
854 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
855           MatPreallocateSymmetricSetLocal()
856 M*/
857 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
858 
859 /* Routines unique to particular data structures */
860 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
861 
862 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
863 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
864 
865 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
866 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
867 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
868 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
869 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
870 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
871 
872 #define MAT_SKIP_ALLOCATION -4
873 
874 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
875 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
876 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
877 
878 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
879 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
880 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
881 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
882 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
883 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
884 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
885 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
886 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
887 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
888 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
889 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
890 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
891 
892 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
893 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
894 
895 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
896 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
897 
898 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
899 
900 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
901 /*
902   These routines are not usually accessed directly, rather solving is
903   done through the KSP and PC interfaces.
904 */
905 
906 /*J
907     MatOrderingType - String with the name of a PETSc matrix ordering
908 
909    Level: beginner
910 
911 .seealso: MatGetOrdering()
912 J*/
913 typedef const char* MatOrderingType;
914 #define MATORDERINGNATURAL     "natural"
915 #define MATORDERINGND          "nd"
916 #define MATORDERING1WD         "1wd"
917 #define MATORDERINGRCM         "rcm"
918 #define MATORDERINGQMD         "qmd"
919 #define MATORDERINGROWLENGTH   "rowlength"
920 #define MATORDERINGWBM         "wbm"
921 #define MATORDERINGSPECTRAL    "spectral"
922 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
923 
924 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
925 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
926 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
927 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
928 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
929 PETSC_EXTERN PetscFunctionList MatOrderingList;
930 
931 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
932 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
933 
934 /*S
935     MatFactorShiftType - Numeric Shift.
936 
937    Level: beginner
938 
939 S*/
940 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
941 PETSC_EXTERN const char *const MatFactorShiftTypes[];
942 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
943 
944 /*S
945    MatFactorInfo - Data passed into the matrix factorization routines
946 
947    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
948 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
949 
950    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
951 
952       You can use MatFactorInfoInitialize() to set default values.
953 
954    Level: developer
955 
956 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
957           MatFactorInfoInitialize()
958 
959 S*/
960 typedef struct {
961   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
962   PetscReal     usedt;
963   PetscReal     dt;             /* drop tolerance */
964   PetscReal     dtcol;          /* tolerance for pivoting */
965   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
966   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
967   PetscReal     levels;         /* ICC/ILU(levels) */
968   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
969                                    factorization may be faster if do not pivot */
970   PetscReal     zeropivot;      /* pivot is called zero if less than this */
971   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
972   PetscReal     shiftamount;     /* how large the shift is */
973 } MatFactorInfo;
974 
975 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
976 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
977 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
978 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
979 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
980 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
981 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
982 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
983 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
984 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
985 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
986 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
987 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
988 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
989 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
990 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
991 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
992 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
993 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
994 
995 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
996 
997 /*E
998     MatSORType - What type of (S)SOR to perform
999 
1000     Level: beginner
1001 
1002    May be bitwise ORd together
1003 
1004    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1005 
1006    MatSORType may be bitwise ORd together, so do not change the numbers
1007 
1008 .seealso: MatSOR()
1009 E*/
1010 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1011               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1012               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1013               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1014 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1015 
1016 /*
1017     These routines are for efficiently computing Jacobians via finite differences.
1018 */
1019 
1020 /*S
1021      MatColoring - Object for managing the coloring of matrices.
1022 
1023    Level: beginner
1024 
1025   Concepts: matrix, coloring
1026 
1027 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1028 S*/
1029 typedef struct _p_MatColoring* MatColoring;
1030 /*J
1031     MatColoringType - String with the name of a PETSc matrix coloring
1032 
1033    Level: beginner
1034 
1035 .seealso: MatColoringSetType(), MatColoring
1036 J*/
1037 
1038 typedef const  char*           MatColoringType;
1039 #define MATCOLORINGJP      "jp"
1040 #define MATCOLORINGMIS     "mis"
1041 #define MATCOLORINGNATURAL "natural"
1042 #define MATCOLORINGSL      "sl"
1043 #define MATCOLORINGLF      "lf"
1044 #define MATCOLORINGID      "id"
1045 
1046 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1047 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1048 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1049 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1050 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1051 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1052 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1053 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1054 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1055 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1056 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1057 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1058 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1059 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1060 
1061 /*S
1062      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1063         and coloring
1064 
1065    Level: beginner
1066 
1067   Concepts: coloring, sparse Jacobian, finite differences
1068 
1069 .seealso:  MatFDColoringCreate()
1070 S*/
1071 typedef struct _p_MatFDColoring* MatFDColoring;
1072 
1073 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1074 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1075 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1076 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1077 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1078 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1079 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1080 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1081 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1082 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1083 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1084 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1085 
1086 
1087 /*S
1088      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1089 
1090    Level: beginner
1091 
1092   Concepts: coloring, sparse matrix product
1093 
1094 .seealso:  MatTransposeColoringCreate()
1095 S*/
1096 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1097 
1098 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1099 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1100 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1101 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1102 
1103 /*
1104     These routines are for partitioning matrices: currently used only
1105   for adjacency matrix, MatCreateMPIAdj().
1106 */
1107 
1108 /*S
1109      MatPartitioning - Object for managing the partitioning of a matrix or graph
1110 
1111    Level: beginner
1112 
1113   Concepts: partitioning
1114 
1115 .seealso:  MatPartitioningCreate(), MatPartitioningType
1116 S*/
1117 typedef struct _p_MatPartitioning* MatPartitioning;
1118 
1119 /*J
1120     MatPartitioningType - String with the name of a PETSc matrix partitioning
1121 
1122    Level: beginner
1123 dm
1124 .seealso: MatPartitioningCreate(), MatPartitioning
1125 J*/
1126 typedef const char* MatPartitioningType;
1127 #define MATPARTITIONINGCURRENT  "current"
1128 #define MATPARTITIONINGSQUARE   "square"
1129 #define MATPARTITIONINGPARMETIS "parmetis"
1130 #define MATPARTITIONINGCHACO    "chaco"
1131 #define MATPARTITIONINGPARTY    "party"
1132 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1133 
1134 
1135 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1136 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1137 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1138 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1139 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1140 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1141 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1142 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1143 
1144 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1145 
1146 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1147 
1148 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1149 
1150 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1151 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1152 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1153 
1154 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1155 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1156 
1157 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1158 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1159 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1160 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1161 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1162 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1163 
1164 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1165 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1166 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1167 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1168 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1169 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1170 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1171 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1172 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1173 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1174 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1175 
1176 #define MP_PARTY_OPT "opt"
1177 #define MP_PARTY_LIN "lin"
1178 #define MP_PARTY_SCA "sca"
1179 #define MP_PARTY_RAN "ran"
1180 #define MP_PARTY_GBF "gbf"
1181 #define MP_PARTY_GCF "gcf"
1182 #define MP_PARTY_BUB "bub"
1183 #define MP_PARTY_DEF "def"
1184 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1185 #define MP_PARTY_HELPFUL_SETS "hs"
1186 #define MP_PARTY_KERNIGHAN_LIN "kl"
1187 #define MP_PARTY_NONE "no"
1188 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1189 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1190 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1191 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1192 
1193 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1194 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1195 
1196 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1197 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1198 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1199 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1200 
1201 /*
1202     These routines are for coarsening matrices:
1203 */
1204 
1205 /*S
1206      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1207 
1208    Level: beginner
1209 
1210   Concepts: coarsen
1211 
1212 .seealso:  MatCoarsenCreate), MatCoarsenType
1213 S*/
1214 typedef struct _p_MatCoarsen* MatCoarsen;
1215 
1216 /*J
1217     MatCoarsenType - String with the name of a PETSc matrix coarsen
1218 
1219    Level: beginner
1220 
1221 .seealso: MatCoarsenCreate(), MatCoarsen
1222 J*/
1223 typedef const char* MatCoarsenType;
1224 #define MATCOARSENMIS  "mis"
1225 #define MATCOARSENHEM  "hem"
1226 
1227 /* linked list for aggregates */
1228 typedef struct _PetscCDIntNd{
1229   struct _PetscCDIntNd *next;
1230   PetscInt             gid;
1231 }PetscCDIntNd;
1232 
1233 /* only used by node pool */
1234 typedef struct _PetscCDArrNd{
1235   struct _PetscCDArrNd *next;
1236   struct _PetscCDIntNd *array;
1237 }PetscCDArrNd;
1238 
1239 typedef struct _PetscCoarsenData{
1240   PetscCDArrNd pool_list;  /* node pool */
1241   PetscCDIntNd *new_node;
1242   PetscInt     new_left;
1243   PetscInt     chk_sz;
1244   PetscCDIntNd *extra_nodes;
1245   PetscCDIntNd **array;  /* Array of lists */
1246   PetscInt     size;
1247   Mat          mat;  /* cache a Mat for communication data */
1248 }PetscCoarsenData;
1249 
1250 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1251 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1252 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1253 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1254 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1255 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1256 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1257 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1258 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1259 
1260 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1261 
1262 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1263 
1264 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1265 
1266 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1267 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1268 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1269 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1270 
1271 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1272 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1273 
1274 /*
1275     If you add entries here you must also add them to finclude/petscmat.h
1276 */
1277 typedef enum { MATOP_SET_VALUES=0,
1278                MATOP_GET_ROW=1,
1279                MATOP_RESTORE_ROW=2,
1280                MATOP_MULT=3,
1281                MATOP_MULT_ADD=4,
1282                MATOP_MULT_TRANSPOSE=5,
1283                MATOP_MULT_TRANSPOSE_ADD=6,
1284                MATOP_SOLVE=7,
1285                MATOP_SOLVE_ADD=8,
1286                MATOP_SOLVE_TRANSPOSE=9,
1287                MATOP_SOLVE_TRANSPOSE_ADD=10,
1288                MATOP_LUFACTOR=11,
1289                MATOP_CHOLESKYFACTOR=12,
1290                MATOP_SOR=13,
1291                MATOP_TRANSPOSE=14,
1292                MATOP_GETINFO=15,
1293                MATOP_EQUAL=16,
1294                MATOP_GET_DIAGONAL=17,
1295                MATOP_DIAGONAL_SCALE=18,
1296                MATOP_NORM=19,
1297                MATOP_ASSEMBLY_BEGIN=20,
1298                MATOP_ASSEMBLY_END=21,
1299                MATOP_SET_OPTION=22,
1300                MATOP_ZERO_ENTRIES=23,
1301                MATOP_ZERO_ROWS=24,
1302                MATOP_LUFACTOR_SYMBOLIC=25,
1303                MATOP_LUFACTOR_NUMERIC=26,
1304                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1305                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1306                MATOP_SETUP_PREALLOCATION=29,
1307                MATOP_ILUFACTOR_SYMBOLIC=30,
1308                MATOP_ICCFACTOR_SYMBOLIC=31,
1309                /* MATOP_PLACEHOLDER_32=32, */
1310                /* MATOP_PLACEHOLDER_33=33, */
1311                MATOP_DUPLICATE=34,
1312                MATOP_FORWARD_SOLVE=35,
1313                MATOP_BACKWARD_SOLVE=36,
1314                MATOP_ILUFACTOR=37,
1315                MATOP_ICCFACTOR=38,
1316                MATOP_AXPY=39,
1317                MATOP_GET_SUBMATRICES=40,
1318                MATOP_INCREASE_OVERLAP=41,
1319                MATOP_GET_VALUES=42,
1320                MATOP_COPY=43,
1321                MATOP_GET_ROW_MAX=44,
1322                MATOP_SCALE=45,
1323                MATOP_SHIFT=46,
1324                MATOP_DIAGONAL_SET=47,
1325                MATOP_ZERO_ROWS_COLUMNS=48,
1326                MATOP_SET_RANDOM=49,
1327                MATOP_GET_ROW_IJ=50,
1328                MATOP_RESTORE_ROW_IJ=51,
1329                MATOP_GET_COLUMN_IJ=52,
1330                MATOP_RESTORE_COLUMN_IJ=53,
1331                MATOP_FDCOLORING_CREATE=54,
1332                MATOP_COLORING_PATCH=55,
1333                MATOP_SET_UNFACTORED=56,
1334                MATOP_PERMUTE=57,
1335                MATOP_SET_VALUES_BLOCKED=58,
1336                MATOP_GET_SUBMATRIX=59,
1337                MATOP_DESTROY=60,
1338                MATOP_VIEW=61,
1339                MATOP_CONVERT_FROM=62,
1340                MATOP_MATMAT_MULT=63,
1341                MATOP_MATMAT_MULT_SYMBOLIC=64,
1342                MATOP_MATMAT_MULT_NUMERIC=65,
1343                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1344                MATOP_SET_VALUES_LOCAL=67,
1345                MATOP_ZERO_ROWS_LOCAL=68,
1346                MATOP_GET_ROW_MAX_ABS=69,
1347                MATOP_GET_ROW_MIN_ABS=70,
1348                MATOP_CONVERT=71,
1349                MATOP_SET_COLORING=72,
1350                /* MATOP_PLACEHOLDER_73=73, */
1351                MATOP_SET_VALUES_ADIFOR=74,
1352                MATOP_FD_COLORING_APPLY=75,
1353                MATOP_SET_FROM_OPTIONS=76,
1354                MATOP_MULT_CONSTRAINED=77,
1355                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1356                MATOP_FIND_ZERO_DIAGONALS=79,
1357                MATOP_MULT_MULTIPLE=80,
1358                MATOP_SOLVE_MULTIPLE=81,
1359                MATOP_GET_INERTIA=82,
1360                MATOP_LOAD=83,
1361                MATOP_IS_SYMMETRIC=84,
1362                MATOP_IS_HERMITIAN=85,
1363                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1364                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1365                MATOP_GET_VECS=88,
1366                MATOP_MAT_MULT=89,
1367                MATOP_MAT_MULT_SYMBOLIC=90,
1368                MATOP_MAT_MULT_NUMERIC=91,
1369                MATOP_PTAP=92,
1370                MATOP_PTAP_SYMBOLIC=93,
1371                MATOP_PTAP_NUMERIC=94,
1372                MATOP_MAT_TRANSPOSE_MULT=95,
1373                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1374                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1375                /* MATOP_PLACEHOLDER_98=98, */
1376                /* MATOP_PLACEHOLDER_99=99, */
1377                /* MATOP_PLACEHOLDER_100=100, */
1378                /* MATOP_PLACEHOLDER_101=101, */
1379                MATOP_CONJUGATE=102,
1380                /* MATOP_PLACEHOLDER_103=103, */
1381                MATOP_SET_VALUES_ROW=104,
1382                MATOP_REAL_PART=105,
1383                MATOP_IMAGINARY_PART=106,
1384                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1385                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1386                MATOP_MAT_SOLVE=109,
1387                MATOP_GET_REDUNDANT_MATRIX=110,
1388                MATOP_GET_ROW_MIN=111,
1389                MATOP_GET_COLUMN_VECTOR=112,
1390                MATOP_MISSING_DIAGONAL=113,
1391                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1392                MATOP_CREATE=115,
1393                MATOP_GET_GHOSTS=116,
1394                MATOP_GET_LOCAL_SUB_MATRIX=117,
1395                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1396                MATOP_MULT_DIAGONAL_BLOCK=119,
1397                MATOP_HERMITIAN_TRANSPOSE=120,
1398                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1399                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1400                MATOP_GET_MULTI_PROC_BLOCK=123,
1401                MATOP_FIND_NONZERO_ROWS=124,
1402                MATOP_GET_COLUMN_NORMS=125,
1403                MATOP_INVERT_BLOCK_DIAGONAL=126,
1404                /* MATOP_PLACEHOLDER_127=127, */
1405                MATOP_GET_SUB_MATRICES_PARALLE=128,
1406                MATOP_SET_VALUES_BATCH=129,
1407                MATOP_TRANSPOSE_MAT_MULT=130,
1408                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1409                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1410                MATOP_TRANSPOSE_COLORING_CREAT=133,
1411                MATOP_TRANS_COLORING_APPLY_SPT=134,
1412                MATOP_TRANS_COLORING_APPLY_DEN=135,
1413                MATOP_RART=136,
1414                MATOP_RART_SYMBOLIC=137,
1415                MATOP_RART_NUMERIC=138,
1416                MATOP_SET_BLOCK_SIZES=139,
1417                MATOP_AYPX=140,
1418                MATOP_RESIDUAL=141,
1419                MATOP_FDCOLORING_SETUP= 142
1420              } MatOperation;
1421 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1422 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1423 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1424 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1425 
1426 /*
1427    Codes for matrices stored on disk. By default they are
1428    stored in a universal format. By changing the format with
1429    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1430    be stored in a way natural for the matrix, for example dense matrices
1431    would be stored as dense. Matrices stored this way may only be
1432    read into matrices of the same type.
1433 */
1434 #define MATRIX_BINARY_FORMAT_DENSE -1
1435 
1436 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1437 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1438 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1439 
1440 /*S
1441      MatNullSpace - Object that removes a null space from a vector, i.e.
1442          orthogonalizes the vector to a subsapce
1443 
1444    Level: advanced
1445 
1446   Concepts: matrix; linear operator, null space
1447 
1448   Users manual sections:
1449 .   sec_singular
1450 
1451 .seealso:  MatNullSpaceCreate()
1452 S*/
1453 typedef struct _p_MatNullSpace* MatNullSpace;
1454 
1455 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1456 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1457 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1458 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1459 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1460 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1461 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1462 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1463 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1464 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1465 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1466 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1467 
1468 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1469 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1470 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1471 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1472 
1473 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1474 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1475 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1476 
1477 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1478 
1479 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1480 
1481 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1482 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1483 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1484 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1485 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1486 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1487 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1488 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1489 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1490 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1491 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1492 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1493 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1494 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1495 
1496 /*S
1497     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1498               Jacobian vector products
1499 
1500     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1501 
1502            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1503 
1504     Level: developer
1505 
1506 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1507 S*/
1508 typedef struct _p_MatMFFD* MatMFFD;
1509 
1510 /*J
1511     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1512 
1513    Level: beginner
1514 
1515 .seealso: MatMFFDSetType(), MatMFFDRegister()
1516 J*/
1517 typedef const char* MatMFFDType;
1518 #define MATMFFD_DS  "ds"
1519 #define MATMFFD_WP  "wp"
1520 
1521 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1522 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1523 
1524 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1525 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1526 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1527 
1528 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1529 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1530 
1531 /*
1532    PETSc interface to MUMPS
1533 */
1534 #ifdef PETSC_HAVE_MUMPS
1535 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1536 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1537 #endif
1538 
1539 /*
1540    PETSc interface to SUPERLU
1541 */
1542 #ifdef PETSC_HAVE_SUPERLU
1543 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1544 #endif
1545 
1546 #ifdef PETSC_HAVE_CUDA
1547 /*E
1548     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1549     matrices.
1550 
1551     Not Collective
1552 
1553 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1554 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1555 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1556 
1557     Level: intermediate
1558 
1559    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1560 
1561 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1562 E*/
1563 
1564 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1565 
1566 /* these will be strings associated with enumerated type defined above */
1567 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1568 
1569 /*E
1570     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1571     matrices whose operation should use a particular storage format.
1572 
1573     Not Collective
1574 
1575 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1576 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1577 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1578 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1579 
1580     Level: intermediate
1581 
1582 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1583 E*/
1584 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1585 
1586 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1587 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1588 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1589 #endif
1590 
1591 #if defined(PETSC_HAVE_CUSP)
1592 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1593 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1594 
1595 /*E
1596     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1597     matrices.
1598 
1599     Not Collective
1600 
1601 +   MAT_CUSP_CSR - Compressed Sparse Row
1602 .   MAT_CUSP_DIA - Diagonal
1603 -   MAT_CUSP_ELL - Ellpack
1604 
1605     Level: intermediate
1606 
1607    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1608 
1609 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1610 E*/
1611 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1612 
1613 /* these will be strings associated with enumerated type defined above */
1614 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1615 
1616 /*E
1617     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1618     matrices whose operation should use a particular storage format.
1619 
1620     Not Collective
1621 
1622 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1623 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1624 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1625 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1626 
1627     Level: intermediate
1628 
1629    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1630 
1631 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1632 E*/
1633 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1634 
1635 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1636 #endif
1637 
1638 #if defined(PETSC_HAVE_VIENNACL)
1639 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1640 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1641 #endif
1642 
1643 /*
1644    PETSc interface to FFTW
1645 */
1646 #if defined(PETSC_HAVE_FFTW)
1647 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1648 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1649 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1650 #endif
1651 
1652 #if defined(PETSC_HAVE_ELEMENTAL)
1653 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1654 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1655 #endif
1656 
1657 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1658 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1659 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1660 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1661 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1662 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1663 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1664 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1665 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1666 
1667 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1668 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1669 
1670 #endif
1671