xref: /petsc/include/petscmat.h (revision 45b6f7e9ecd564e8bb535880b270d4a8084ff211)
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 #define MATSOLVERKLU          "klu"
119 
120 /*E
121     MatFactorType - indicates what type of factorization is requested
122 
123     Level: beginner
124 
125    Any additions/changes here MUST also be made in include/finclude/petscmat.h
126 
127 .seealso: MatSolverPackage, MatGetFactor()
128 E*/
129 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
130 PETSC_EXTERN const char *const MatFactorTypes[];
131 
132 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
133 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
134 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
135 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
136 
137 /* Logging support */
138 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
139 PETSC_EXTERN PetscClassId MAT_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
146 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
147 
148 /*E
149     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
150      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
151      that the input matrix is to be replaced with the converted matrix.
152 
153     Level: beginner
154 
155    Any additions/changes here MUST also be made in include/finclude/petscmat.h
156 
157 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
158 E*/
159 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
160 
161 /*E
162     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
163      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
164 
165     Level: beginner
166 
167 .seealso: MatGetSeqNonzerostructure()
168 E*/
169 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
170 
171 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
172 
173 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
174 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
175 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
176 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
177 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
178 PETSC_EXTERN PetscErrorCode MatRegisterAll(void);
179 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
180 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
181 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
182 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
184 
185 PETSC_EXTERN PetscBool         MatRegisterAllCalled;
186 PETSC_EXTERN PetscFunctionList MatList;
187 PETSC_EXTERN PetscFunctionList MatColoringList;
188 PETSC_EXTERN PetscFunctionList MatPartitioningList;
189 PETSC_EXTERN PetscFunctionList MatCoarsenList;
190 
191 /*E
192     MatStructure - Indicates if two matrices have the same nonzero structure
193 
194     Level: beginner
195 
196    Any additions/changes here MUST also be made in include/finclude/petscmat.h
197 
198 .seealso: MatCopy(), MatAXPY()
199 E*/
200 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
201 
202 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
208 
209 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
212 
213 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
214 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
215 
216 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
218 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
219 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
220 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
221 
222 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
228 
229 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
230 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
233 
234 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
235 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
236 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
237 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
238 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
239 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
240 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
241 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
242 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
243 
244 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
246 
247 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
248 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
249 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
250 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
251 
252 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
253 
254 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
255 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
256 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
257 
258 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
259 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
260 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
261 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
262 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
263 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
264 
265 /* ------------------------------------------------------------*/
266 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
267 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
268 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
269 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
270 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
272 
273 /*S
274      MatStencil - Data structure (C struct) for storing information about a single row or
275         column of a matrix as indexed on an associated grid.
276 
277    Fortran usage is different, see MatSetValuesStencil() for details.
278 
279    Level: beginner
280 
281   Concepts: matrix; linear operator
282 
283 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
284 S*/
285 typedef struct {
286   PetscInt k,j,i,c;
287 } MatStencil;
288 
289 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
290 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
291 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
292 
293 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
294 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
295 
296 /*E
297     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
298      to continue to add values to it
299 
300     Level: beginner
301 
302 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
303 E*/
304 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
305 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
306 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
307 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
308 
309 
310 
311 /*E
312     MatOption - Options that may be set for a matrix and its behavior or storage
313 
314     Level: beginner
315 
316    Any additions/changes here MUST also be made in include/finclude/petscmat.h
317 
318    Developer Notes: Entries that are negative need not be called collectively by all processes.
319 
320 .seealso: MatSetOption()
321 E*/
322 typedef enum {MAT_OPTION_MIN = -5,
323               MAT_NEW_NONZERO_LOCATION_ERR = -4,
324               MAT_UNUSED_NONZERO_LOCATION_ERR = -3,
325               MAT_NEW_NONZERO_ALLOCATION_ERR = -2,
326               MAT_ROW_ORIENTED = -1,
327               MAT_SYMMETRIC = 1,
328               MAT_STRUCTURALLY_SYMMETRIC = 2,
329               MAT_NEW_DIAGONALS = 3,
330               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
331               MAT_USE_HASH_TABLE = 5,
332               MAT_KEEP_NONZERO_PATTERN = 6,
333               MAT_IGNORE_ZERO_ENTRIES = 7,
334               MAT_USE_INODES = 8,
335               MAT_HERMITIAN = 9,
336               MAT_SYMMETRY_ETERNAL = 10,
337               MAT_DUMMY = 11,
338               MAT_IGNORE_LOWER_TRIANGULAR = 12,
339               MAT_ERROR_LOWER_TRIANGULAR = 13,
340               MAT_GETROW_UPPERTRIANGULAR = 14,
341               MAT_SPD = 15,
342               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
343               MAT_NO_OFF_PROC_ENTRIES = 17,
344               MAT_NEW_NONZERO_LOCATIONS = 18,
345               MAT_OPTION_MAX = 19} MatOption;
346 
347 PETSC_EXTERN const char *MatOptions[];
348 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
349 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
350 
351 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
352 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
353 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
354 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
355 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
356 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
357 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
358 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
359 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
360 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
361 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
362 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
363 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
365 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
366 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
367 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
368 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
369 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
370 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
371 
372 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
378 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
379 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
384 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
385 
386 /*E
387     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
388   its numerical values copied over or just its nonzero structure.
389 
390     Level: beginner
391 
392    Any additions/changes here MUST also be made in include/finclude/petscmat.h
393 
394 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
395 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
396 $                               have several matrices with the same nonzero pattern.
397 
398 .seealso: MatDuplicate()
399 E*/
400 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
401 
402 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
403 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
404 
405 
406 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
407 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
408 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
409 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
410 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
411 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
412 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
414 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
415 
416 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
417 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
418 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
419 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
420 
421 /*S
422      MatInfo - Context of matrix information, used with MatGetInfo()
423 
424    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
425 
426    Level: intermediate
427 
428   Concepts: matrix^nonzero information
429 
430 .seealso:  MatGetInfo(), MatInfoType
431 S*/
432 typedef struct {
433   PetscLogDouble block_size;                         /* block size */
434   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
435   PetscLogDouble memory;                             /* memory allocated */
436   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
437   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
438   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
439   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
440 } MatInfo;
441 
442 /*E
443     MatInfoType - Indicates if you want information about the local part of the matrix,
444      the entire parallel matrix or the maximum over all the local parts.
445 
446     Level: beginner
447 
448    Any additions/changes here MUST also be made in include/finclude/petscmat.h
449 
450 .seealso: MatGetInfo(), MatInfo
451 E*/
452 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
453 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
454 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
455 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
456 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
457 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
458 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
459 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
460 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
461 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
462 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
463 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
464 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
465 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
466 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
467 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
468 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
469 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
470 
471 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
472 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
473 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
474 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
475 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
476 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
477 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
478 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
479 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
480 
481 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
482 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
483 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
484 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
485 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
486 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
487 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
488 
489 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
490 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
491 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
492 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
493 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
494 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
495 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
496 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
497 
498 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
499 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
500 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
501 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
502 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
503 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
504 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
505 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
506 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
507 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
508 
509 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
510 
511 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
514 
515 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
518 
519 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
522 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
525 
526 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
529 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
532 
533 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
534 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
535 
536 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
537 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
538 
539 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
540 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
541 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
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 Users-Manual: ch_performance 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 Users-Manual: ch_performance 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 Users-Manual: ch_performance 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 Users-Manual: ch_performance 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 Users-Manual: ch_performance for more details.
778 
779    Do not malloc or free dnz and onz that is handled internally by these routines
780 
781    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
782 
783   Concepts: preallocation^Matrix
784 
785 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), 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 Users-Manual: ch_performance 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 Users-Manual: ch_performance 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 MATCOLORINGNATURAL "natural"
1042 #define MATCOLORINGSL      "sl"
1043 #define MATCOLORINGLF      "lf"
1044 #define MATCOLORINGID      "id"
1045 #define MATCOLORINGGREEDY  "greedy"
1046 
1047 /*E
1048    MatColoringWeightType - Type of weight scheme
1049 
1050     Not Collective
1051 
1052 +   MAT_COLORING_RANDOM  - Random weights
1053 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1054 -   MAT_COLORING_LF      - Last-first weighting.
1055 
1056     Level: intermediate
1057 
1058    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1059 
1060 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1061 E*/
1062 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1063 
1064 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1065 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1066 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1067 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1068 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1069 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1070 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1071 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1072 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1073 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1074 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1075 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1076 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1077 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1078 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1079 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1080 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1081 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1082 
1083 /*S
1084      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1085         and coloring
1086 
1087    Level: beginner
1088 
1089   Concepts: coloring, sparse Jacobian, finite differences
1090 
1091 .seealso:  MatFDColoringCreate()
1092 S*/
1093 typedef struct _p_MatFDColoring* MatFDColoring;
1094 
1095 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1096 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1097 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1098 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1099 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1100 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1101 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1102 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1103 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1104 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1105 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1106 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1107 
1108 
1109 /*S
1110      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1111 
1112    Level: beginner
1113 
1114   Concepts: coloring, sparse matrix product
1115 
1116 .seealso:  MatTransposeColoringCreate()
1117 S*/
1118 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1119 
1120 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1121 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1122 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1123 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1124 
1125 /*
1126     These routines are for partitioning matrices: currently used only
1127   for adjacency matrix, MatCreateMPIAdj().
1128 */
1129 
1130 /*S
1131      MatPartitioning - Object for managing the partitioning of a matrix or graph
1132 
1133    Level: beginner
1134 
1135   Concepts: partitioning
1136 
1137 .seealso:  MatPartitioningCreate(), MatPartitioningType
1138 S*/
1139 typedef struct _p_MatPartitioning* MatPartitioning;
1140 
1141 /*J
1142     MatPartitioningType - String with the name of a PETSc matrix partitioning
1143 
1144    Level: beginner
1145 dm
1146 .seealso: MatPartitioningCreate(), MatPartitioning
1147 J*/
1148 typedef const char* MatPartitioningType;
1149 #define MATPARTITIONINGCURRENT  "current"
1150 #define MATPARTITIONINGSQUARE   "square"
1151 #define MATPARTITIONINGPARMETIS "parmetis"
1152 #define MATPARTITIONINGCHACO    "chaco"
1153 #define MATPARTITIONINGPARTY    "party"
1154 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1155 
1156 
1157 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1158 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1159 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1160 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1161 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1162 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1163 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1164 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1165 
1166 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1167 
1168 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1169 
1170 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1171 
1172 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1173 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1174 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1175 
1176 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1177 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1178 
1179 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1180 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1181 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1182 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1183 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1184 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1185 
1186 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1187 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1188 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1189 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1190 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1191 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1192 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1193 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1194 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1195 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1196 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1197 
1198 #define MP_PARTY_OPT "opt"
1199 #define MP_PARTY_LIN "lin"
1200 #define MP_PARTY_SCA "sca"
1201 #define MP_PARTY_RAN "ran"
1202 #define MP_PARTY_GBF "gbf"
1203 #define MP_PARTY_GCF "gcf"
1204 #define MP_PARTY_BUB "bub"
1205 #define MP_PARTY_DEF "def"
1206 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1207 #define MP_PARTY_HELPFUL_SETS "hs"
1208 #define MP_PARTY_KERNIGHAN_LIN "kl"
1209 #define MP_PARTY_NONE "no"
1210 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1211 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1212 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1213 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1214 
1215 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1216 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1217 
1218 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1219 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1220 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1221 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1222 
1223 /*
1224     These routines are for coarsening matrices:
1225 */
1226 
1227 /*S
1228      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1229 
1230    Level: beginner
1231 
1232   Concepts: coarsen
1233 
1234 .seealso:  MatCoarsenCreate), MatCoarsenType
1235 S*/
1236 typedef struct _p_MatCoarsen* MatCoarsen;
1237 
1238 /*J
1239     MatCoarsenType - String with the name of a PETSc matrix coarsen
1240 
1241    Level: beginner
1242 
1243 .seealso: MatCoarsenCreate(), MatCoarsen
1244 J*/
1245 typedef const char* MatCoarsenType;
1246 #define MATCOARSENMIS  "mis"
1247 #define MATCOARSENHEM  "hem"
1248 
1249 /* linked list for aggregates */
1250 typedef struct _PetscCDIntNd{
1251   struct _PetscCDIntNd *next;
1252   PetscInt             gid;
1253 }PetscCDIntNd;
1254 
1255 /* only used by node pool */
1256 typedef struct _PetscCDArrNd{
1257   struct _PetscCDArrNd *next;
1258   struct _PetscCDIntNd *array;
1259 }PetscCDArrNd;
1260 
1261 typedef struct _PetscCoarsenData{
1262   PetscCDArrNd pool_list;  /* node pool */
1263   PetscCDIntNd *new_node;
1264   PetscInt     new_left;
1265   PetscInt     chk_sz;
1266   PetscCDIntNd *extra_nodes;
1267   PetscCDIntNd **array;  /* Array of lists */
1268   PetscInt     size;
1269   Mat          mat;  /* cache a Mat for communication data */
1270 }PetscCoarsenData;
1271 
1272 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1273 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1274 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1275 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1276 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1277 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1278 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1279 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1280 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1281 
1282 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1283 
1284 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1285 
1286 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1287 
1288 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1289 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1290 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1291 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1292 
1293 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1294 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1295 
1296 /*
1297     If you add entries here you must also add them to finclude/petscmat.h
1298 */
1299 typedef enum { MATOP_SET_VALUES=0,
1300                MATOP_GET_ROW=1,
1301                MATOP_RESTORE_ROW=2,
1302                MATOP_MULT=3,
1303                MATOP_MULT_ADD=4,
1304                MATOP_MULT_TRANSPOSE=5,
1305                MATOP_MULT_TRANSPOSE_ADD=6,
1306                MATOP_SOLVE=7,
1307                MATOP_SOLVE_ADD=8,
1308                MATOP_SOLVE_TRANSPOSE=9,
1309                MATOP_SOLVE_TRANSPOSE_ADD=10,
1310                MATOP_LUFACTOR=11,
1311                MATOP_CHOLESKYFACTOR=12,
1312                MATOP_SOR=13,
1313                MATOP_TRANSPOSE=14,
1314                MATOP_GETINFO=15,
1315                MATOP_EQUAL=16,
1316                MATOP_GET_DIAGONAL=17,
1317                MATOP_DIAGONAL_SCALE=18,
1318                MATOP_NORM=19,
1319                MATOP_ASSEMBLY_BEGIN=20,
1320                MATOP_ASSEMBLY_END=21,
1321                MATOP_SET_OPTION=22,
1322                MATOP_ZERO_ENTRIES=23,
1323                MATOP_ZERO_ROWS=24,
1324                MATOP_LUFACTOR_SYMBOLIC=25,
1325                MATOP_LUFACTOR_NUMERIC=26,
1326                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1327                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1328                MATOP_SETUP_PREALLOCATION=29,
1329                MATOP_ILUFACTOR_SYMBOLIC=30,
1330                MATOP_ICCFACTOR_SYMBOLIC=31,
1331                /* MATOP_PLACEHOLDER_32=32, */
1332                /* MATOP_PLACEHOLDER_33=33, */
1333                MATOP_DUPLICATE=34,
1334                MATOP_FORWARD_SOLVE=35,
1335                MATOP_BACKWARD_SOLVE=36,
1336                MATOP_ILUFACTOR=37,
1337                MATOP_ICCFACTOR=38,
1338                MATOP_AXPY=39,
1339                MATOP_GET_SUBMATRICES=40,
1340                MATOP_INCREASE_OVERLAP=41,
1341                MATOP_GET_VALUES=42,
1342                MATOP_COPY=43,
1343                MATOP_GET_ROW_MAX=44,
1344                MATOP_SCALE=45,
1345                MATOP_SHIFT=46,
1346                MATOP_DIAGONAL_SET=47,
1347                MATOP_ZERO_ROWS_COLUMNS=48,
1348                MATOP_SET_RANDOM=49,
1349                MATOP_GET_ROW_IJ=50,
1350                MATOP_RESTORE_ROW_IJ=51,
1351                MATOP_GET_COLUMN_IJ=52,
1352                MATOP_RESTORE_COLUMN_IJ=53,
1353                MATOP_FDCOLORING_CREATE=54,
1354                MATOP_COLORING_PATCH=55,
1355                MATOP_SET_UNFACTORED=56,
1356                MATOP_PERMUTE=57,
1357                MATOP_SET_VALUES_BLOCKED=58,
1358                MATOP_GET_SUBMATRIX=59,
1359                MATOP_DESTROY=60,
1360                MATOP_VIEW=61,
1361                MATOP_CONVERT_FROM=62,
1362                MATOP_MATMAT_MULT=63,
1363                MATOP_MATMAT_MULT_SYMBOLIC=64,
1364                MATOP_MATMAT_MULT_NUMERIC=65,
1365                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1366                MATOP_SET_VALUES_LOCAL=67,
1367                MATOP_ZERO_ROWS_LOCAL=68,
1368                MATOP_GET_ROW_MAX_ABS=69,
1369                MATOP_GET_ROW_MIN_ABS=70,
1370                MATOP_CONVERT=71,
1371                MATOP_SET_COLORING=72,
1372                /* MATOP_PLACEHOLDER_73=73, */
1373                MATOP_SET_VALUES_ADIFOR=74,
1374                MATOP_FD_COLORING_APPLY=75,
1375                MATOP_SET_FROM_OPTIONS=76,
1376                MATOP_MULT_CONSTRAINED=77,
1377                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1378                MATOP_FIND_ZERO_DIAGONALS=79,
1379                MATOP_MULT_MULTIPLE=80,
1380                MATOP_SOLVE_MULTIPLE=81,
1381                MATOP_GET_INERTIA=82,
1382                MATOP_LOAD=83,
1383                MATOP_IS_SYMMETRIC=84,
1384                MATOP_IS_HERMITIAN=85,
1385                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1386                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1387                MATOP_GET_VECS=88,
1388                MATOP_MAT_MULT=89,
1389                MATOP_MAT_MULT_SYMBOLIC=90,
1390                MATOP_MAT_MULT_NUMERIC=91,
1391                MATOP_PTAP=92,
1392                MATOP_PTAP_SYMBOLIC=93,
1393                MATOP_PTAP_NUMERIC=94,
1394                MATOP_MAT_TRANSPOSE_MULT=95,
1395                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1396                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1397                /* MATOP_PLACEHOLDER_98=98, */
1398                /* MATOP_PLACEHOLDER_99=99, */
1399                /* MATOP_PLACEHOLDER_100=100, */
1400                /* MATOP_PLACEHOLDER_101=101, */
1401                MATOP_CONJUGATE=102,
1402                /* MATOP_PLACEHOLDER_103=103, */
1403                MATOP_SET_VALUES_ROW=104,
1404                MATOP_REAL_PART=105,
1405                MATOP_IMAGINARY_PART=106,
1406                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1407                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1408                MATOP_MAT_SOLVE=109,
1409                MATOP_GET_REDUNDANT_MATRIX=110,
1410                MATOP_GET_ROW_MIN=111,
1411                MATOP_GET_COLUMN_VECTOR=112,
1412                MATOP_MISSING_DIAGONAL=113,
1413                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1414                MATOP_CREATE=115,
1415                MATOP_GET_GHOSTS=116,
1416                MATOP_GET_LOCAL_SUB_MATRIX=117,
1417                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1418                MATOP_MULT_DIAGONAL_BLOCK=119,
1419                MATOP_HERMITIAN_TRANSPOSE=120,
1420                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1421                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1422                MATOP_GET_MULTI_PROC_BLOCK=123,
1423                MATOP_FIND_NONZERO_ROWS=124,
1424                MATOP_GET_COLUMN_NORMS=125,
1425                MATOP_INVERT_BLOCK_DIAGONAL=126,
1426                /* MATOP_PLACEHOLDER_127=127, */
1427                MATOP_GET_SUB_MATRICES_PARALLE=128,
1428                MATOP_SET_VALUES_BATCH=129,
1429                MATOP_TRANSPOSE_MAT_MULT=130,
1430                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1431                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1432                MATOP_TRANSPOSE_COLORING_CREAT=133,
1433                MATOP_TRANS_COLORING_APPLY_SPT=134,
1434                MATOP_TRANS_COLORING_APPLY_DEN=135,
1435                MATOP_RART=136,
1436                MATOP_RART_SYMBOLIC=137,
1437                MATOP_RART_NUMERIC=138,
1438                MATOP_SET_BLOCK_SIZES=139,
1439                MATOP_AYPX=140,
1440                MATOP_RESIDUAL=141,
1441                MATOP_FDCOLORING_SETUP= 142
1442              } MatOperation;
1443 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1444 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1445 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1446 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1447 
1448 /*
1449    Codes for matrices stored on disk. By default they are
1450    stored in a universal format. By changing the format with
1451    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1452    be stored in a way natural for the matrix, for example dense matrices
1453    would be stored as dense. Matrices stored this way may only be
1454    read into matrices of the same type.
1455 */
1456 #define MATRIX_BINARY_FORMAT_DENSE -1
1457 
1458 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1459 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1460 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1461 
1462 /*S
1463      MatNullSpace - Object that removes a null space from a vector, i.e.
1464          orthogonalizes the vector to a subsapce
1465 
1466    Level: advanced
1467 
1468   Concepts: matrix; linear operator, null space
1469 
1470   Users manual sections:
1471 .   sec_singular
1472 
1473 .seealso:  MatNullSpaceCreate()
1474 S*/
1475 typedef struct _p_MatNullSpace* MatNullSpace;
1476 
1477 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1478 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1479 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1480 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1481 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1482 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1483 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1484 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1485 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1486 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1487 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1488 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1489 
1490 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1491 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1492 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1493 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1494 
1495 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1496 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1497 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1498 
1499 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1500 
1501 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1502 
1503 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1504 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1505 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1506 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1507 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1508 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1509 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1510 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1511 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1512 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1513 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1514 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1515 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1516 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1517 
1518 /*S
1519     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1520               Jacobian vector products
1521 
1522     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1523 
1524            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1525 
1526     Level: developer
1527 
1528 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1529 S*/
1530 typedef struct _p_MatMFFD* MatMFFD;
1531 
1532 /*J
1533     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1534 
1535    Level: beginner
1536 
1537 .seealso: MatMFFDSetType(), MatMFFDRegister()
1538 J*/
1539 typedef const char* MatMFFDType;
1540 #define MATMFFD_DS  "ds"
1541 #define MATMFFD_WP  "wp"
1542 
1543 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1544 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1545 
1546 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1547 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1548 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1549 
1550 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1551 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1552 
1553 /*
1554    PETSc interface to MUMPS
1555 */
1556 #ifdef PETSC_HAVE_MUMPS
1557 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1558 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1559 #endif
1560 
1561 /*
1562    PETSc interface to SUPERLU
1563 */
1564 #ifdef PETSC_HAVE_SUPERLU
1565 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1566 #endif
1567 
1568 #ifdef PETSC_HAVE_CUDA
1569 /*E
1570     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1571     matrices.
1572 
1573     Not Collective
1574 
1575 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1576 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1577 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1578 
1579     Level: intermediate
1580 
1581    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1582 
1583 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1584 E*/
1585 
1586 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1587 
1588 /* these will be strings associated with enumerated type defined above */
1589 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1590 
1591 /*E
1592     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1593     matrices whose operation should use a particular storage format.
1594 
1595     Not Collective
1596 
1597 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1598 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1599 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1600 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1601 
1602     Level: intermediate
1603 
1604 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1605 E*/
1606 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1607 
1608 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1609 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1610 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1611 #endif
1612 
1613 #if defined(PETSC_HAVE_CUSP)
1614 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1615 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1616 
1617 /*E
1618     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1619     matrices.
1620 
1621     Not Collective
1622 
1623 +   MAT_CUSP_CSR - Compressed Sparse Row
1624 .   MAT_CUSP_DIA - Diagonal
1625 -   MAT_CUSP_ELL - Ellpack
1626 
1627     Level: intermediate
1628 
1629    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1630 
1631 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1632 E*/
1633 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1634 
1635 /* these will be strings associated with enumerated type defined above */
1636 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1637 
1638 /*E
1639     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1640     matrices whose operation should use a particular storage format.
1641 
1642     Not Collective
1643 
1644 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1645 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1646 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1647 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1648 
1649     Level: intermediate
1650 
1651    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1652 
1653 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1654 E*/
1655 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1656 
1657 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1658 #endif
1659 
1660 #if defined(PETSC_HAVE_VIENNACL)
1661 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1662 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1663 #endif
1664 
1665 /*
1666    PETSc interface to FFTW
1667 */
1668 #if defined(PETSC_HAVE_FFTW)
1669 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1670 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1671 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1672 #endif
1673 
1674 #if defined(PETSC_HAVE_ELEMENTAL)
1675 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1676 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1677 #endif
1678 
1679 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1680 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1681 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1682 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1683 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1684 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1685 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1686 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1687 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1688 
1689 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1690 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1691 
1692 #endif
1693