xref: /petsc/include/petscmat.h (revision 235fd6e69a2bea97b8017ef133f6bee539b5dc6b)
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 two matrices have 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(), MatAXPY()
198 E*/
199 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} 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 MatSetBlockSizesFromMats(Mat,Mat,Mat);
368 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
369 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
370 
371 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
377 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
378 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
383 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
384 
385 /*E
386     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
387   its numerical values copied over or just its nonzero structure.
388 
389     Level: beginner
390 
391    Any additions/changes here MUST also be made in include/finclude/petscmat.h
392 
393 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
394 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
395 $                               have several matrices with the same nonzero pattern.
396 
397 .seealso: MatDuplicate()
398 E*/
399 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
400 
401 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
402 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
403 
404 
405 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
406 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
407 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
408 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
409 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
410 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
411 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
412 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
413 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
414 
415 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
416 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
417 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
418 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
419 
420 /*S
421      MatInfo - Context of matrix information, used with MatGetInfo()
422 
423    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
424 
425    Level: intermediate
426 
427   Concepts: matrix^nonzero information
428 
429 .seealso:  MatGetInfo(), MatInfoType
430 S*/
431 typedef struct {
432   PetscLogDouble block_size;                         /* block size */
433   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
434   PetscLogDouble memory;                             /* memory allocated */
435   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
436   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
437   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
438   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
439 } MatInfo;
440 
441 /*E
442     MatInfoType - Indicates if you want information about the local part of the matrix,
443      the entire parallel matrix or the maximum over all the local parts.
444 
445     Level: beginner
446 
447    Any additions/changes here MUST also be made in include/finclude/petscmat.h
448 
449 .seealso: MatGetInfo(), MatInfo
450 E*/
451 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
452 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
453 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
454 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
455 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
456 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
457 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
458 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
459 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
460 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
461 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
462 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
463 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
464 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
465 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
466 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
467 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
468 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
469 
470 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
471 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
472 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
473 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
474 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
475 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
476 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
477 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
478 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
479 
480 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
481 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
482 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
483 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
484 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
485 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
486 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
487 
488 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
489 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
490 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
491 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
492 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
493 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
494 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
495 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
496 
497 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
498 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
499 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
500 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
501 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
502 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
503 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
504 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
505 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
506 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
507 
508 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
509 
510 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
511 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
513 
514 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
517 
518 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
521 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
524 
525 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
528 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
531 
532 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
533 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
534 
535 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
536 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
537 
538 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
539 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
540 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
541 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
542 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
543 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
547 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
548 
549 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
550 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
551 
552 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
556 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
557 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
558 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
559 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
560 
561 /*MC
562    MatSetValue - Set a single entry into a matrix.
563 
564    Not collective
565 
566    Input Parameters:
567 +  m - the matrix
568 .  row - the row location of the entry
569 .  col - the column location of the entry
570 .  value - the value to insert
571 -  mode - either INSERT_VALUES or ADD_VALUES
572 
573    Notes:
574    For efficiency one should use MatSetValues() and set several or many
575    values simultaneously if possible.
576 
577    Level: beginner
578 
579 .seealso: MatSetValues(), MatSetValueLocal()
580 M*/
581 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
582 
583 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
584 
585 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
586 
587 /*MC
588    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
589        row in a matrix providing the data that one can use to correctly preallocate the matrix.
590 
591    Synopsis:
592    #include <petscmat.h>
593    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
594 
595    Collective on MPI_Comm
596 
597    Input Parameters:
598 +  comm - the communicator that will share the eventually allocated matrix
599 .  nrows - the number of LOCAL rows in the matrix
600 -  ncols - the number of LOCAL columns in the matrix
601 
602    Output Parameters:
603 +  dnz - the array that will be passed to the matrix preallocation routines
604 -  ozn - the other array passed to the matrix preallocation routines
605 
606    Level: intermediate
607 
608    Notes:
609     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
610 
611    Do not malloc or free dnz and onz, that is handled internally by these routines
612 
613    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
614 
615    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
616 
617   Concepts: preallocation^Matrix
618 
619 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
620           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
621 M*/
622 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
623 { \
624   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
625   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
626   __start = 0; __end = __start;                                         \
627   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
628   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
629 
630 /*MC
631    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
632        inserted using a local number of the rows and columns
633 
634    Synopsis:
635    #include <petscmat.h>
636    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
637 
638    Not Collective
639 
640    Input Parameters:
641 +  map - the row mapping from local numbering to global numbering
642 .  nrows - the number of rows indicated
643 .  rows - the indices of the rows
644 .  cmap - the column mapping from local to global numbering
645 .  ncols - the number of columns in the matrix
646 .  cols - the columns indicated
647 .  dnz - the array that will be passed to the matrix preallocation routines
648 -  ozn - the other array passed to the matrix preallocation routines
649 
650    Level: intermediate
651 
652    Notes:
653     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
654 
655    Do not malloc or free dnz and onz, that is handled internally by these routines
656 
657   Concepts: preallocation^Matrix
658 
659 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
660           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
661 M*/
662 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
663 {\
664   PetscInt __l;\
665   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
666   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
667   for (__l=0;__l<nrows;__l++) {\
668     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
669   }\
670 }
671 
672 /*MC
673    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
674        inserted using a local number of the rows and columns
675 
676    Synopsis:
677    #include <petscmat.h>
678    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
679 
680    Not Collective
681 
682    Input Parameters:
683 +  map - the mapping between local numbering and global numbering
684 .  nrows - the number of rows indicated
685 .  rows - the indices of the rows
686 .  ncols - the number of columns in the matrix
687 .  cols - the columns indicated
688 .  dnz - the array that will be passed to the matrix preallocation routines
689 -  ozn - the other array passed to the matrix preallocation routines
690 
691    Level: intermediate
692 
693    Notes:
694     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
695 
696    Do not malloc or free dnz and onz that is handled internally by these routines
697 
698   Concepts: preallocation^Matrix
699 
700 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
701           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
702 M*/
703 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
704 {\
705   PetscInt __l;\
706   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
707   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
708   for (__l=0;__l<nrows;__l++) {\
709     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
710   }\
711 }
712 
713 /*MC
714    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
715        inserted using a local number of the rows and columns
716 
717    Synopsis:
718    #include <petscmat.h>
719    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
720 
721    Not Collective
722 
723    Input Parameters:
724 +  row - the row
725 .  ncols - the number of columns in the matrix
726 -  cols - the columns indicated
727 
728    Output Parameters:
729 +  dnz - the array that will be passed to the matrix preallocation routines
730 -  ozn - the other array passed to the matrix preallocation routines
731 
732    Level: intermediate
733 
734    Notes:
735     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
736 
737    Do not malloc or free dnz and onz that is handled internally by these routines
738 
739    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
740 
741   Concepts: preallocation^Matrix
742 
743 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
744           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
745 M*/
746 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
747 { PetscInt __i; \
748   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);\
749   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);\
750   for (__i=0; __i<nc; __i++) {\
751     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
752     else dnz[row - __rstart]++;\
753   }\
754 }
755 
756 /*MC
757    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
758        inserted using a local number of the rows and columns
759 
760    Synopsis:
761    #include <petscmat.h>
762    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
763 
764    Not Collective
765 
766    Input Parameters:
767 +  nrows - the number of rows indicated
768 .  rows - the indices of the rows
769 .  ncols - the number of columns in the matrix
770 .  cols - the columns indicated
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 the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual 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(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
786           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
787 M*/
788 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
789 { PetscInt __i; \
790   for (__i=0; __i<nc; __i++) {\
791     if (cols[__i] >= __end) onz[row - __rstart]++; \
792     else if (cols[__i] >= row) dnz[row - __rstart]++;\
793   }\
794 }
795 
796 /*MC
797    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
798 
799    Synopsis:
800    #include <petscmat.h>
801    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
802 
803    Not Collective
804 
805    Input Parameters:
806 .  A - matrix
807 .  row - row where values exist (must be local to this process)
808 .  ncols - number of columns
809 .  cols - columns with nonzeros
810 .  dnz - the array that will be passed to the matrix preallocation routines
811 -  ozn - the other array passed to the matrix preallocation routines
812 
813    Level: intermediate
814 
815    Notes:
816     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
817 
818    Do not malloc or free dnz and onz that is handled internally by these routines
819 
820    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
821 
822   Concepts: preallocation^Matrix
823 
824 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
825           MatPreallocateSymmetricSetLocal()
826 M*/
827 #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);}
828 
829 
830 /*MC
831    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
832        row in a matrix providing the data that one can use to correctly preallocate the matrix.
833 
834    Synopsis:
835    #include <petscmat.h>
836    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
837 
838    Collective on MPI_Comm
839 
840    Input Parameters:
841 +  dnz - the array that was be passed to the matrix preallocation routines
842 -  ozn - the other array passed to the matrix preallocation routines
843 
844    Level: intermediate
845 
846    Notes:
847     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
848 
849    Do not malloc or free dnz and onz that is handled internally by these routines
850 
851    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
852 
853   Concepts: preallocation^Matrix
854 
855 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
856           MatPreallocateSymmetricSetLocal()
857 M*/
858 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
859 
860 /* Routines unique to particular data structures */
861 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
862 
863 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
864 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
865 
866 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
867 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
868 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
869 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
870 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
871 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
872 
873 #define MAT_SKIP_ALLOCATION -4
874 
875 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
876 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
877 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
878 
879 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
880 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
881 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
882 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
883 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
884 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
885 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
886 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
887 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
888 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
889 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
890 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
891 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
892 
893 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
894 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
895 
896 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
897 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
898 
899 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
900 
901 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
902 /*
903   These routines are not usually accessed directly, rather solving is
904   done through the KSP and PC interfaces.
905 */
906 
907 /*J
908     MatOrderingType - String with the name of a PETSc matrix ordering
909 
910    Level: beginner
911 
912 .seealso: MatGetOrdering()
913 J*/
914 typedef const char* MatOrderingType;
915 #define MATORDERINGNATURAL     "natural"
916 #define MATORDERINGND          "nd"
917 #define MATORDERING1WD         "1wd"
918 #define MATORDERINGRCM         "rcm"
919 #define MATORDERINGQMD         "qmd"
920 #define MATORDERINGROWLENGTH   "rowlength"
921 #define MATORDERINGWBM         "wbm"
922 #define MATORDERINGSPECTRAL    "spectral"
923 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
924 
925 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
926 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
927 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
928 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
929 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
930 PETSC_EXTERN PetscFunctionList MatOrderingList;
931 
932 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
933 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
934 
935 /*S
936     MatFactorShiftType - Numeric Shift.
937 
938    Level: beginner
939 
940 S*/
941 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
942 PETSC_EXTERN const char *const MatFactorShiftTypes[];
943 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
944 
945 /*S
946    MatFactorInfo - Data passed into the matrix factorization routines
947 
948    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
949 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
950 
951    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
952 
953       You can use MatFactorInfoInitialize() to set default values.
954 
955    Level: developer
956 
957 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
958           MatFactorInfoInitialize()
959 
960 S*/
961 typedef struct {
962   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
963   PetscReal     usedt;
964   PetscReal     dt;             /* drop tolerance */
965   PetscReal     dtcol;          /* tolerance for pivoting */
966   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
967   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
968   PetscReal     levels;         /* ICC/ILU(levels) */
969   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
970                                    factorization may be faster if do not pivot */
971   PetscReal     zeropivot;      /* pivot is called zero if less than this */
972   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
973   PetscReal     shiftamount;     /* how large the shift is */
974 } MatFactorInfo;
975 
976 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
977 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
978 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
979 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
980 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
981 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
982 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
983 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
984 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
985 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
986 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
987 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
988 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
989 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
990 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
991 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
992 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
993 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
994 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
995 
996 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
997 
998 /*E
999     MatSORType - What type of (S)SOR to perform
1000 
1001     Level: beginner
1002 
1003    May be bitwise ORd together
1004 
1005    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1006 
1007    MatSORType may be bitwise ORd together, so do not change the numbers
1008 
1009 .seealso: MatSOR()
1010 E*/
1011 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1012               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1013               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1014               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1015 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1016 
1017 /*
1018     These routines are for efficiently computing Jacobians via finite differences.
1019 */
1020 
1021 /*S
1022      MatColoring - Object for managing the coloring of matrices.
1023 
1024    Level: beginner
1025 
1026   Concepts: matrix, coloring
1027 
1028 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1029 S*/
1030 typedef struct _p_MatColoring* MatColoring;
1031 /*J
1032     MatColoringType - String with the name of a PETSc matrix coloring
1033 
1034    Level: beginner
1035 
1036 .seealso: MatColoringSetType(), MatColoring
1037 J*/
1038 
1039 typedef const  char*           MatColoringType;
1040 #define MATCOLORINGJP      "jp"
1041 #define MATCOLORINGMIS     "mis"
1042 #define MATCOLORINGNATURAL "natural"
1043 #define MATCOLORINGSL      "sl"
1044 #define MATCOLORINGLF      "lf"
1045 #define MATCOLORINGID      "id"
1046 
1047 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1048 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1049 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1050 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1051 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1052 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1053 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1054 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1055 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1056 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1057 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1058 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1059 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1060 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1061 
1062 /*S
1063      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1064         and coloring
1065 
1066    Level: beginner
1067 
1068   Concepts: coloring, sparse Jacobian, finite differences
1069 
1070 .seealso:  MatFDColoringCreate()
1071 S*/
1072 typedef struct _p_MatFDColoring* MatFDColoring;
1073 
1074 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1075 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1076 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1077 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1078 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1079 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1080 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1081 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1082 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1083 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1084 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1085 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1086 
1087 
1088 /*S
1089      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1090 
1091    Level: beginner
1092 
1093   Concepts: coloring, sparse matrix product
1094 
1095 .seealso:  MatTransposeColoringCreate()
1096 S*/
1097 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1098 
1099 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1100 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1101 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1102 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1103 
1104 /*
1105     These routines are for partitioning matrices: currently used only
1106   for adjacency matrix, MatCreateMPIAdj().
1107 */
1108 
1109 /*S
1110      MatPartitioning - Object for managing the partitioning of a matrix or graph
1111 
1112    Level: beginner
1113 
1114   Concepts: partitioning
1115 
1116 .seealso:  MatPartitioningCreate(), MatPartitioningType
1117 S*/
1118 typedef struct _p_MatPartitioning* MatPartitioning;
1119 
1120 /*J
1121     MatPartitioningType - String with the name of a PETSc matrix partitioning
1122 
1123    Level: beginner
1124 dm
1125 .seealso: MatPartitioningCreate(), MatPartitioning
1126 J*/
1127 typedef const char* MatPartitioningType;
1128 #define MATPARTITIONINGCURRENT  "current"
1129 #define MATPARTITIONINGSQUARE   "square"
1130 #define MATPARTITIONINGPARMETIS "parmetis"
1131 #define MATPARTITIONINGCHACO    "chaco"
1132 #define MATPARTITIONINGPARTY    "party"
1133 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1134 
1135 
1136 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1137 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1138 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1139 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1140 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1141 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1142 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1143 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1144 
1145 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1146 
1147 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1148 
1149 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1150 
1151 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1152 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1153 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1154 
1155 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1156 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1157 
1158 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1159 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1160 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1161 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1162 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1163 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1164 
1165 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1166 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1167 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1168 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1169 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1170 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1171 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1172 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1173 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1174 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1175 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1176 
1177 #define MP_PARTY_OPT "opt"
1178 #define MP_PARTY_LIN "lin"
1179 #define MP_PARTY_SCA "sca"
1180 #define MP_PARTY_RAN "ran"
1181 #define MP_PARTY_GBF "gbf"
1182 #define MP_PARTY_GCF "gcf"
1183 #define MP_PARTY_BUB "bub"
1184 #define MP_PARTY_DEF "def"
1185 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1186 #define MP_PARTY_HELPFUL_SETS "hs"
1187 #define MP_PARTY_KERNIGHAN_LIN "kl"
1188 #define MP_PARTY_NONE "no"
1189 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1190 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1191 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1192 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1193 
1194 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1195 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1196 
1197 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1198 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1199 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1200 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1201 
1202 /*
1203     These routines are for coarsening matrices:
1204 */
1205 
1206 /*S
1207      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1208 
1209    Level: beginner
1210 
1211   Concepts: coarsen
1212 
1213 .seealso:  MatCoarsenCreate), MatCoarsenType
1214 S*/
1215 typedef struct _p_MatCoarsen* MatCoarsen;
1216 
1217 /*J
1218     MatCoarsenType - String with the name of a PETSc matrix coarsen
1219 
1220    Level: beginner
1221 
1222 .seealso: MatCoarsenCreate(), MatCoarsen
1223 J*/
1224 typedef const char* MatCoarsenType;
1225 #define MATCOARSENMIS  "mis"
1226 #define MATCOARSENHEM  "hem"
1227 
1228 /* linked list for aggregates */
1229 typedef struct _PetscCDIntNd{
1230   struct _PetscCDIntNd *next;
1231   PetscInt             gid;
1232 }PetscCDIntNd;
1233 
1234 /* only used by node pool */
1235 typedef struct _PetscCDArrNd{
1236   struct _PetscCDArrNd *next;
1237   struct _PetscCDIntNd *array;
1238 }PetscCDArrNd;
1239 
1240 typedef struct _PetscCoarsenData{
1241   PetscCDArrNd pool_list;  /* node pool */
1242   PetscCDIntNd *new_node;
1243   PetscInt     new_left;
1244   PetscInt     chk_sz;
1245   PetscCDIntNd *extra_nodes;
1246   PetscCDIntNd **array;  /* Array of lists */
1247   PetscInt     size;
1248   Mat          mat;  /* cache a Mat for communication data */
1249 }PetscCoarsenData;
1250 
1251 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1252 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1253 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1254 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1255 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1256 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1257 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1258 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1259 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1260 
1261 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1262 
1263 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1264 
1265 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1266 
1267 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1268 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1269 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1270 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1271 
1272 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1273 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1274 
1275 /*
1276     If you add entries here you must also add them to finclude/petscmat.h
1277 */
1278 typedef enum { MATOP_SET_VALUES=0,
1279                MATOP_GET_ROW=1,
1280                MATOP_RESTORE_ROW=2,
1281                MATOP_MULT=3,
1282                MATOP_MULT_ADD=4,
1283                MATOP_MULT_TRANSPOSE=5,
1284                MATOP_MULT_TRANSPOSE_ADD=6,
1285                MATOP_SOLVE=7,
1286                MATOP_SOLVE_ADD=8,
1287                MATOP_SOLVE_TRANSPOSE=9,
1288                MATOP_SOLVE_TRANSPOSE_ADD=10,
1289                MATOP_LUFACTOR=11,
1290                MATOP_CHOLESKYFACTOR=12,
1291                MATOP_SOR=13,
1292                MATOP_TRANSPOSE=14,
1293                MATOP_GETINFO=15,
1294                MATOP_EQUAL=16,
1295                MATOP_GET_DIAGONAL=17,
1296                MATOP_DIAGONAL_SCALE=18,
1297                MATOP_NORM=19,
1298                MATOP_ASSEMBLY_BEGIN=20,
1299                MATOP_ASSEMBLY_END=21,
1300                MATOP_SET_OPTION=22,
1301                MATOP_ZERO_ENTRIES=23,
1302                MATOP_ZERO_ROWS=24,
1303                MATOP_LUFACTOR_SYMBOLIC=25,
1304                MATOP_LUFACTOR_NUMERIC=26,
1305                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1306                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1307                MATOP_SETUP_PREALLOCATION=29,
1308                MATOP_ILUFACTOR_SYMBOLIC=30,
1309                MATOP_ICCFACTOR_SYMBOLIC=31,
1310                /* MATOP_PLACEHOLDER_32=32, */
1311                /* MATOP_PLACEHOLDER_33=33, */
1312                MATOP_DUPLICATE=34,
1313                MATOP_FORWARD_SOLVE=35,
1314                MATOP_BACKWARD_SOLVE=36,
1315                MATOP_ILUFACTOR=37,
1316                MATOP_ICCFACTOR=38,
1317                MATOP_AXPY=39,
1318                MATOP_GET_SUBMATRICES=40,
1319                MATOP_INCREASE_OVERLAP=41,
1320                MATOP_GET_VALUES=42,
1321                MATOP_COPY=43,
1322                MATOP_GET_ROW_MAX=44,
1323                MATOP_SCALE=45,
1324                MATOP_SHIFT=46,
1325                MATOP_DIAGONAL_SET=47,
1326                MATOP_ZERO_ROWS_COLUMNS=48,
1327                MATOP_SET_RANDOM=49,
1328                MATOP_GET_ROW_IJ=50,
1329                MATOP_RESTORE_ROW_IJ=51,
1330                MATOP_GET_COLUMN_IJ=52,
1331                MATOP_RESTORE_COLUMN_IJ=53,
1332                MATOP_FDCOLORING_CREATE=54,
1333                MATOP_COLORING_PATCH=55,
1334                MATOP_SET_UNFACTORED=56,
1335                MATOP_PERMUTE=57,
1336                MATOP_SET_VALUES_BLOCKED=58,
1337                MATOP_GET_SUBMATRIX=59,
1338                MATOP_DESTROY=60,
1339                MATOP_VIEW=61,
1340                MATOP_CONVERT_FROM=62,
1341                MATOP_MATMAT_MULT=63,
1342                MATOP_MATMAT_MULT_SYMBOLIC=64,
1343                MATOP_MATMAT_MULT_NUMERIC=65,
1344                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1345                MATOP_SET_VALUES_LOCAL=67,
1346                MATOP_ZERO_ROWS_LOCAL=68,
1347                MATOP_GET_ROW_MAX_ABS=69,
1348                MATOP_GET_ROW_MIN_ABS=70,
1349                MATOP_CONVERT=71,
1350                MATOP_SET_COLORING=72,
1351                /* MATOP_PLACEHOLDER_73=73, */
1352                MATOP_SET_VALUES_ADIFOR=74,
1353                MATOP_FD_COLORING_APPLY=75,
1354                MATOP_SET_FROM_OPTIONS=76,
1355                MATOP_MULT_CONSTRAINED=77,
1356                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1357                MATOP_FIND_ZERO_DIAGONALS=79,
1358                MATOP_MULT_MULTIPLE=80,
1359                MATOP_SOLVE_MULTIPLE=81,
1360                MATOP_GET_INERTIA=82,
1361                MATOP_LOAD=83,
1362                MATOP_IS_SYMMETRIC=84,
1363                MATOP_IS_HERMITIAN=85,
1364                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1365                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1366                MATOP_GET_VECS=88,
1367                MATOP_MAT_MULT=89,
1368                MATOP_MAT_MULT_SYMBOLIC=90,
1369                MATOP_MAT_MULT_NUMERIC=91,
1370                MATOP_PTAP=92,
1371                MATOP_PTAP_SYMBOLIC=93,
1372                MATOP_PTAP_NUMERIC=94,
1373                MATOP_MAT_TRANSPOSE_MULT=95,
1374                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1375                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1376                /* MATOP_PLACEHOLDER_98=98, */
1377                /* MATOP_PLACEHOLDER_99=99, */
1378                /* MATOP_PLACEHOLDER_100=100, */
1379                /* MATOP_PLACEHOLDER_101=101, */
1380                MATOP_CONJUGATE=102,
1381                /* MATOP_PLACEHOLDER_103=103, */
1382                MATOP_SET_VALUES_ROW=104,
1383                MATOP_REAL_PART=105,
1384                MATOP_IMAGINARY_PART=106,
1385                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1386                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1387                MATOP_MAT_SOLVE=109,
1388                MATOP_GET_REDUNDANT_MATRIX=110,
1389                MATOP_GET_ROW_MIN=111,
1390                MATOP_GET_COLUMN_VECTOR=112,
1391                MATOP_MISSING_DIAGONAL=113,
1392                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1393                MATOP_CREATE=115,
1394                MATOP_GET_GHOSTS=116,
1395                MATOP_GET_LOCAL_SUB_MATRIX=117,
1396                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1397                MATOP_MULT_DIAGONAL_BLOCK=119,
1398                MATOP_HERMITIAN_TRANSPOSE=120,
1399                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1400                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1401                MATOP_GET_MULTI_PROC_BLOCK=123,
1402                MATOP_FIND_NONZERO_ROWS=124,
1403                MATOP_GET_COLUMN_NORMS=125,
1404                MATOP_INVERT_BLOCK_DIAGONAL=126,
1405                /* MATOP_PLACEHOLDER_127=127, */
1406                MATOP_GET_SUB_MATRICES_PARALLE=128,
1407                MATOP_SET_VALUES_BATCH=129,
1408                MATOP_TRANSPOSE_MAT_MULT=130,
1409                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1410                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1411                MATOP_TRANSPOSE_COLORING_CREAT=133,
1412                MATOP_TRANS_COLORING_APPLY_SPT=134,
1413                MATOP_TRANS_COLORING_APPLY_DEN=135,
1414                MATOP_RART=136,
1415                MATOP_RART_SYMBOLIC=137,
1416                MATOP_RART_NUMERIC=138,
1417                MATOP_SET_BLOCK_SIZES=139,
1418                MATOP_AYPX=140,
1419                MATOP_RESIDUAL=141,
1420                MATOP_FDCOLORING_SETUP= 142
1421              } MatOperation;
1422 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1423 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1424 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1425 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1426 
1427 /*
1428    Codes for matrices stored on disk. By default they are
1429    stored in a universal format. By changing the format with
1430    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1431    be stored in a way natural for the matrix, for example dense matrices
1432    would be stored as dense. Matrices stored this way may only be
1433    read into matrices of the same type.
1434 */
1435 #define MATRIX_BINARY_FORMAT_DENSE -1
1436 
1437 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1438 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1439 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1440 
1441 /*S
1442      MatNullSpace - Object that removes a null space from a vector, i.e.
1443          orthogonalizes the vector to a subsapce
1444 
1445    Level: advanced
1446 
1447   Concepts: matrix; linear operator, null space
1448 
1449   Users manual sections:
1450 .   sec_singular
1451 
1452 .seealso:  MatNullSpaceCreate()
1453 S*/
1454 typedef struct _p_MatNullSpace* MatNullSpace;
1455 
1456 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1457 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1458 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1459 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1460 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1461 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1462 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1463 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1464 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1465 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1466 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1467 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1468 
1469 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1470 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1471 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1472 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1473 
1474 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1475 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1476 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1477 
1478 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1479 
1480 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1481 
1482 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1483 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1484 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1485 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1486 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1487 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1488 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1489 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1490 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1491 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1492 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1493 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1494 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1495 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1496 
1497 /*S
1498     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1499               Jacobian vector products
1500 
1501     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1502 
1503            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1504 
1505     Level: developer
1506 
1507 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1508 S*/
1509 typedef struct _p_MatMFFD* MatMFFD;
1510 
1511 /*J
1512     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1513 
1514    Level: beginner
1515 
1516 .seealso: MatMFFDSetType(), MatMFFDRegister()
1517 J*/
1518 typedef const char* MatMFFDType;
1519 #define MATMFFD_DS  "ds"
1520 #define MATMFFD_WP  "wp"
1521 
1522 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1523 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1524 
1525 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1526 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1527 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1528 
1529 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1530 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1531 
1532 /*
1533    PETSc interface to MUMPS
1534 */
1535 #ifdef PETSC_HAVE_MUMPS
1536 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1537 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1538 #endif
1539 
1540 /*
1541    PETSc interface to SUPERLU
1542 */
1543 #ifdef PETSC_HAVE_SUPERLU
1544 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1545 #endif
1546 
1547 #ifdef PETSC_HAVE_CUDA
1548 /*E
1549     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1550     matrices.
1551 
1552     Not Collective
1553 
1554 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1555 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1556 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1557 
1558     Level: intermediate
1559 
1560    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1561 
1562 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1563 E*/
1564 
1565 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1566 
1567 /* these will be strings associated with enumerated type defined above */
1568 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1569 
1570 /*E
1571     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1572     matrices whose operation should use a particular storage format.
1573 
1574     Not Collective
1575 
1576 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1577 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1578 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1579 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1580 
1581     Level: intermediate
1582 
1583 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1584 E*/
1585 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1586 
1587 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1588 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1589 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1590 #endif
1591 
1592 #if defined(PETSC_HAVE_CUSP)
1593 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1594 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1595 
1596 /*E
1597     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1598     matrices.
1599 
1600     Not Collective
1601 
1602 +   MAT_CUSP_CSR - Compressed Sparse Row
1603 .   MAT_CUSP_DIA - Diagonal
1604 -   MAT_CUSP_ELL - Ellpack
1605 
1606     Level: intermediate
1607 
1608    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1609 
1610 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1611 E*/
1612 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1613 
1614 /* these will be strings associated with enumerated type defined above */
1615 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1616 
1617 /*E
1618     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1619     matrices whose operation should use a particular storage format.
1620 
1621     Not Collective
1622 
1623 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1624 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1625 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1626 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1627 
1628     Level: intermediate
1629 
1630    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1631 
1632 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1633 E*/
1634 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1635 
1636 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1637 #endif
1638 
1639 #if defined(PETSC_HAVE_VIENNACL)
1640 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1641 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1642 #endif
1643 
1644 /*
1645    PETSc interface to FFTW
1646 */
1647 #if defined(PETSC_HAVE_FFTW)
1648 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1649 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1650 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1651 #endif
1652 
1653 #if defined(PETSC_HAVE_ELEMENTAL)
1654 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1655 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1656 #endif
1657 
1658 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1659 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1660 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1661 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1662 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1663 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1664 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1665 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1666 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1667 
1668 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1669 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1670 
1671 #endif
1672