xref: /petsc/include/petscmat.h (revision 100cfa120cc2eaf723258ca9a7dc0791c63b063a)
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 = -8,
323               MAT_NEW_NONZERO_LOCATION_ERR = -7,
324               MAT_NO_OFF_PROC_ZERO_ROWS = -6,
325               MAT_NO_OFF_PROC_ENTRIES = -5,
326               MAT_UNUSED_NONZERO_LOCATION_ERR = -4,
327               MAT_NEW_NONZERO_ALLOCATION_ERR = -3,
328               MAT_ROW_ORIENTED = -2,
329               MAT_NEW_NONZERO_LOCATIONS = -1,
330               MAT_SYMMETRIC = 1,
331               MAT_STRUCTURALLY_SYMMETRIC = 2,
332               MAT_NEW_DIAGONALS = 3,
333               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
334               MAT_USE_HASH_TABLE = 5,
335               MAT_KEEP_NONZERO_PATTERN = 6,
336               MAT_IGNORE_ZERO_ENTRIES = 7,
337               MAT_USE_INODES = 8,
338               MAT_HERMITIAN = 9,
339               MAT_SYMMETRY_ETERNAL = 10,
340               MAT_DUMMY = 11,
341               MAT_IGNORE_LOWER_TRIANGULAR = 12,
342               MAT_ERROR_LOWER_TRIANGULAR = 13,
343               MAT_GETROW_UPPERTRIANGULAR = 14,
344               MAT_SPD = 15,
345               MAT_OPTION_MAX = 16} 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 MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
541 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
542 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
543 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
544 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
549 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
550 
551 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
552 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
553 
554 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
558 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
559 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
560 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
561 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
562 
563 /*MC
564    MatSetValue - Set a single entry into a matrix.
565 
566    Not collective
567 
568    Input Parameters:
569 +  m - the matrix
570 .  row - the row location of the entry
571 .  col - the column location of the entry
572 .  value - the value to insert
573 -  mode - either INSERT_VALUES or ADD_VALUES
574 
575    Notes:
576    For efficiency one should use MatSetValues() and set several or many
577    values simultaneously if possible.
578 
579    Level: beginner
580 
581 .seealso: MatSetValues(), MatSetValueLocal()
582 M*/
583 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
584 
585 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
586 
587 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
588 
589 /*MC
590    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
591        row in a matrix providing the data that one can use to correctly preallocate the matrix.
592 
593    Synopsis:
594    #include <petscmat.h>
595    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
596 
597    Collective on MPI_Comm
598 
599    Input Parameters:
600 +  comm - the communicator that will share the eventually allocated matrix
601 .  nrows - the number of LOCAL rows in the matrix
602 -  ncols - the number of LOCAL columns in the matrix
603 
604    Output Parameters:
605 +  dnz - the array that will be passed to the matrix preallocation routines
606 -  ozn - the other array passed to the matrix preallocation routines
607 
608    Level: intermediate
609 
610    Notes:
611     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
612 
613    Do not malloc or free dnz and onz, that is handled internally by these routines
614 
615    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
616 
617    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
618 
619   Concepts: preallocation^Matrix
620 
621 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
622           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
623 M*/
624 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
625 { \
626   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
627   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
628   __start = 0; __end = __start;                                         \
629   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
630   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
631 
632 /*MC
633    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
634        inserted using a local number of the rows and columns
635 
636    Synopsis:
637    #include <petscmat.h>
638    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
639 
640    Not Collective
641 
642    Input Parameters:
643 +  map - the row mapping from local numbering to global numbering
644 .  nrows - the number of rows indicated
645 .  rows - the indices of the rows
646 .  cmap - the column mapping from local to global numbering
647 .  ncols - the number of columns in the matrix
648 .  cols - the columns indicated
649 .  dnz - the array that will be passed to the matrix preallocation routines
650 -  ozn - the other array passed to the matrix preallocation routines
651 
652    Level: intermediate
653 
654    Notes:
655     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
656 
657    Do not malloc or free dnz and onz, that is handled internally by these routines
658 
659   Concepts: preallocation^Matrix
660 
661 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
662           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
663 M*/
664 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
665 {\
666   PetscInt __l;\
667   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
668   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
669   for (__l=0;__l<nrows;__l++) {\
670     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
671   }\
672 }
673 
674 /*MC
675    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
676        inserted using a local number of the rows and columns
677 
678    Synopsis:
679    #include <petscmat.h>
680    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
681 
682    Not Collective
683 
684    Input Parameters:
685 +  map - the mapping between local numbering and global numbering
686 .  nrows - the number of rows indicated
687 .  rows - the indices of the rows
688 .  ncols - the number of columns in the matrix
689 .  cols - the columns indicated
690 .  dnz - the array that will be passed to the matrix preallocation routines
691 -  ozn - the other array passed to the matrix preallocation routines
692 
693    Level: intermediate
694 
695    Notes:
696     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
697 
698    Do not malloc or free dnz and onz that is handled internally by these routines
699 
700   Concepts: preallocation^Matrix
701 
702 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
703           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
704 M*/
705 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
706 {\
707   PetscInt __l;\
708   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
709   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
710   for (__l=0;__l<nrows;__l++) {\
711     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
712   }\
713 }
714 
715 /*MC
716    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
717        inserted using a local number of the rows and columns
718 
719    Synopsis:
720    #include <petscmat.h>
721    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
722 
723    Not Collective
724 
725    Input Parameters:
726 +  row - the row
727 .  ncols - the number of columns in the matrix
728 -  cols - the columns indicated
729 
730    Output Parameters:
731 +  dnz - the array that will be passed to the matrix preallocation routines
732 -  ozn - the other array passed to the matrix preallocation routines
733 
734    Level: intermediate
735 
736    Notes:
737     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
738 
739    Do not malloc or free dnz and onz that is handled internally by these routines
740 
741    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
742 
743   Concepts: preallocation^Matrix
744 
745 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
746           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
747 M*/
748 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
749 { PetscInt __i; \
750   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);\
751   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);\
752   for (__i=0; __i<nc; __i++) {\
753     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
754     else dnz[row - __rstart]++;\
755   }\
756 }
757 
758 /*MC
759    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
760        inserted using a local number of the rows and columns
761 
762    Synopsis:
763    #include <petscmat.h>
764    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
765 
766    Not Collective
767 
768    Input Parameters:
769 +  nrows - the number of rows indicated
770 .  rows - the indices of the rows
771 .  ncols - the number of columns in the matrix
772 .  cols - the columns indicated
773 .  dnz - the array that will be passed to the matrix preallocation routines
774 -  ozn - the other array passed to the matrix preallocation routines
775 
776    Level: intermediate
777 
778    Notes:
779     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
780 
781    Do not malloc or free dnz and onz that is handled internally by these routines
782 
783    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
784 
785   Concepts: preallocation^Matrix
786 
787 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
788           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
789 M*/
790 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
791 { PetscInt __i; \
792   for (__i=0; __i<nc; __i++) {\
793     if (cols[__i] >= __end) onz[row - __rstart]++; \
794     else if (cols[__i] >= row) dnz[row - __rstart]++;\
795   }\
796 }
797 
798 /*MC
799    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
800 
801    Synopsis:
802    #include <petscmat.h>
803    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
804 
805    Not Collective
806 
807    Input Parameters:
808 .  A - matrix
809 .  row - row where values exist (must be local to this process)
810 .  ncols - number of columns
811 .  cols - columns with nonzeros
812 .  dnz - the array that will be passed to the matrix preallocation routines
813 -  ozn - the other array passed to the matrix preallocation routines
814 
815    Level: intermediate
816 
817    Notes:
818     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
819 
820    Do not malloc or free dnz and onz that is handled internally by these routines
821 
822    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
823 
824   Concepts: preallocation^Matrix
825 
826 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
827           MatPreallocateSymmetricSetLocal()
828 M*/
829 #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);}
830 
831 
832 /*MC
833    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
834        row in a matrix providing the data that one can use to correctly preallocate the matrix.
835 
836    Synopsis:
837    #include <petscmat.h>
838    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
839 
840    Collective on MPI_Comm
841 
842    Input Parameters:
843 +  dnz - the array that was be passed to the matrix preallocation routines
844 -  ozn - the other array passed to the matrix preallocation routines
845 
846    Level: intermediate
847 
848    Notes:
849     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
850 
851    Do not malloc or free dnz and onz that is handled internally by these routines
852 
853    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
854 
855   Concepts: preallocation^Matrix
856 
857 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
858           MatPreallocateSymmetricSetLocal()
859 M*/
860 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
861 
862 /* Routines unique to particular data structures */
863 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
864 
865 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
866 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
867 
868 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
869 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
870 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
871 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
872 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
873 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
874 
875 #define MAT_SKIP_ALLOCATION -4
876 
877 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
878 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
879 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
880 
881 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
882 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
883 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
884 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
885 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
886 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
887 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
888 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
889 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
890 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
891 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
892 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
893 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
894 
895 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
896 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
897 
898 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
899 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
900 
901 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
902 
903 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
904 /*
905   These routines are not usually accessed directly, rather solving is
906   done through the KSP and PC interfaces.
907 */
908 
909 /*J
910     MatOrderingType - String with the name of a PETSc matrix ordering
911 
912    Level: beginner
913 
914 .seealso: MatGetOrdering()
915 J*/
916 typedef const char* MatOrderingType;
917 #define MATORDERINGNATURAL     "natural"
918 #define MATORDERINGND          "nd"
919 #define MATORDERING1WD         "1wd"
920 #define MATORDERINGRCM         "rcm"
921 #define MATORDERINGQMD         "qmd"
922 #define MATORDERINGROWLENGTH   "rowlength"
923 #define MATORDERINGWBM         "wbm"
924 #define MATORDERINGSPECTRAL    "spectral"
925 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
926 
927 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
928 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
929 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
930 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
931 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
932 PETSC_EXTERN PetscFunctionList MatOrderingList;
933 
934 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
935 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
936 
937 /*S
938     MatFactorShiftType - Numeric Shift.
939 
940    Level: beginner
941 
942 S*/
943 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
944 PETSC_EXTERN const char *const MatFactorShiftTypes[];
945 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
946 
947 /*S
948    MatFactorInfo - Data passed into the matrix factorization routines
949 
950    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
951 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
952 
953    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
954 
955       You can use MatFactorInfoInitialize() to set default values.
956 
957    Level: developer
958 
959 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
960           MatFactorInfoInitialize()
961 
962 S*/
963 typedef struct {
964   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
965   PetscReal     usedt;
966   PetscReal     dt;             /* drop tolerance */
967   PetscReal     dtcol;          /* tolerance for pivoting */
968   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
969   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
970   PetscReal     levels;         /* ICC/ILU(levels) */
971   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
972                                    factorization may be faster if do not pivot */
973   PetscReal     zeropivot;      /* pivot is called zero if less than this */
974   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
975   PetscReal     shiftamount;     /* how large the shift is */
976 } MatFactorInfo;
977 
978 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
979 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
980 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
981 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
982 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
983 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
984 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
985 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
986 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
987 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
988 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
989 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
990 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
991 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
992 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
993 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
994 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
995 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
996 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
997 
998 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
999 
1000 /*E
1001     MatSORType - What type of (S)SOR to perform
1002 
1003     Level: beginner
1004 
1005    May be bitwise ORd together
1006 
1007    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1008 
1009    MatSORType may be bitwise ORd together, so do not change the numbers
1010 
1011 .seealso: MatSOR()
1012 E*/
1013 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1014               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1015               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1016               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1017 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1018 
1019 /*
1020     These routines are for efficiently computing Jacobians via finite differences.
1021 */
1022 
1023 /*S
1024      MatColoring - Object for managing the coloring of matrices.
1025 
1026    Level: beginner
1027 
1028   Concepts: matrix, coloring
1029 
1030 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1031 S*/
1032 typedef struct _p_MatColoring* MatColoring;
1033 /*J
1034     MatColoringType - String with the name of a PETSc matrix coloring
1035 
1036    Level: beginner
1037 
1038 .seealso: MatColoringSetType(), MatColoring
1039 J*/
1040 
1041 typedef const  char*           MatColoringType;
1042 #define MATCOLORINGJP      "jp"
1043 #define MATCOLORINGMIS     "mis"
1044 #define MATCOLORINGNATURAL "natural"
1045 #define MATCOLORINGSL      "sl"
1046 #define MATCOLORINGLF      "lf"
1047 #define MATCOLORINGID      "id"
1048 
1049 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1050 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1051 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1052 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1053 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1054 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1055 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1056 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1057 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1058 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1059 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1060 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1061 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1062 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1063 
1064 /*S
1065      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1066         and coloring
1067 
1068    Level: beginner
1069 
1070   Concepts: coloring, sparse Jacobian, finite differences
1071 
1072 .seealso:  MatFDColoringCreate()
1073 S*/
1074 typedef struct _p_MatFDColoring* MatFDColoring;
1075 
1076 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1077 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1078 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1079 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1080 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1081 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1082 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1083 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1084 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1085 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1086 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1087 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1088 
1089 
1090 /*S
1091      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1092 
1093    Level: beginner
1094 
1095   Concepts: coloring, sparse matrix product
1096 
1097 .seealso:  MatTransposeColoringCreate()
1098 S*/
1099 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1100 
1101 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1102 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1103 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1104 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1105 
1106 /*
1107     These routines are for partitioning matrices: currently used only
1108   for adjacency matrix, MatCreateMPIAdj().
1109 */
1110 
1111 /*S
1112      MatPartitioning - Object for managing the partitioning of a matrix or graph
1113 
1114    Level: beginner
1115 
1116   Concepts: partitioning
1117 
1118 .seealso:  MatPartitioningCreate(), MatPartitioningType
1119 S*/
1120 typedef struct _p_MatPartitioning* MatPartitioning;
1121 
1122 /*J
1123     MatPartitioningType - String with the name of a PETSc matrix partitioning
1124 
1125    Level: beginner
1126 dm
1127 .seealso: MatPartitioningCreate(), MatPartitioning
1128 J*/
1129 typedef const char* MatPartitioningType;
1130 #define MATPARTITIONINGCURRENT  "current"
1131 #define MATPARTITIONINGSQUARE   "square"
1132 #define MATPARTITIONINGPARMETIS "parmetis"
1133 #define MATPARTITIONINGCHACO    "chaco"
1134 #define MATPARTITIONINGPARTY    "party"
1135 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1136 
1137 
1138 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1139 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1140 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1141 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1142 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1143 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1144 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1145 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1146 
1147 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1148 
1149 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1150 
1151 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1152 
1153 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1154 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1155 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1156 
1157 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1158 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1159 
1160 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1161 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1162 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1163 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1164 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1165 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1166 
1167 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1168 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1169 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1170 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1171 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1172 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1173 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1174 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1175 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1176 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1177 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1178 
1179 #define MP_PARTY_OPT "opt"
1180 #define MP_PARTY_LIN "lin"
1181 #define MP_PARTY_SCA "sca"
1182 #define MP_PARTY_RAN "ran"
1183 #define MP_PARTY_GBF "gbf"
1184 #define MP_PARTY_GCF "gcf"
1185 #define MP_PARTY_BUB "bub"
1186 #define MP_PARTY_DEF "def"
1187 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1188 #define MP_PARTY_HELPFUL_SETS "hs"
1189 #define MP_PARTY_KERNIGHAN_LIN "kl"
1190 #define MP_PARTY_NONE "no"
1191 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1192 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1193 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1194 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1195 
1196 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1197 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1198 
1199 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1200 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1201 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1202 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1203 
1204 /*
1205     These routines are for coarsening matrices:
1206 */
1207 
1208 /*S
1209      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1210 
1211    Level: beginner
1212 
1213   Concepts: coarsen
1214 
1215 .seealso:  MatCoarsenCreate), MatCoarsenType
1216 S*/
1217 typedef struct _p_MatCoarsen* MatCoarsen;
1218 
1219 /*J
1220     MatCoarsenType - String with the name of a PETSc matrix coarsen
1221 
1222    Level: beginner
1223 
1224 .seealso: MatCoarsenCreate(), MatCoarsen
1225 J*/
1226 typedef const char* MatCoarsenType;
1227 #define MATCOARSENMIS  "mis"
1228 #define MATCOARSENHEM  "hem"
1229 
1230 /* linked list for aggregates */
1231 typedef struct _PetscCDIntNd{
1232   struct _PetscCDIntNd *next;
1233   PetscInt             gid;
1234 }PetscCDIntNd;
1235 
1236 /* only used by node pool */
1237 typedef struct _PetscCDArrNd{
1238   struct _PetscCDArrNd *next;
1239   struct _PetscCDIntNd *array;
1240 }PetscCDArrNd;
1241 
1242 typedef struct _PetscCoarsenData{
1243   PetscCDArrNd pool_list;  /* node pool */
1244   PetscCDIntNd *new_node;
1245   PetscInt     new_left;
1246   PetscInt     chk_sz;
1247   PetscCDIntNd *extra_nodes;
1248   PetscCDIntNd **array;  /* Array of lists */
1249   PetscInt     size;
1250   Mat          mat;  /* cache a Mat for communication data */
1251 }PetscCoarsenData;
1252 
1253 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1254 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1255 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1256 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1257 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1258 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1259 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1260 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1261 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1262 
1263 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1264 
1265 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1266 
1267 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1268 
1269 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1270 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1271 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1272 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1273 
1274 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1275 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1276 
1277 /*
1278     If you add entries here you must also add them to finclude/petscmat.h
1279 */
1280 typedef enum { MATOP_SET_VALUES=0,
1281                MATOP_GET_ROW=1,
1282                MATOP_RESTORE_ROW=2,
1283                MATOP_MULT=3,
1284                MATOP_MULT_ADD=4,
1285                MATOP_MULT_TRANSPOSE=5,
1286                MATOP_MULT_TRANSPOSE_ADD=6,
1287                MATOP_SOLVE=7,
1288                MATOP_SOLVE_ADD=8,
1289                MATOP_SOLVE_TRANSPOSE=9,
1290                MATOP_SOLVE_TRANSPOSE_ADD=10,
1291                MATOP_LUFACTOR=11,
1292                MATOP_CHOLESKYFACTOR=12,
1293                MATOP_SOR=13,
1294                MATOP_TRANSPOSE=14,
1295                MATOP_GETINFO=15,
1296                MATOP_EQUAL=16,
1297                MATOP_GET_DIAGONAL=17,
1298                MATOP_DIAGONAL_SCALE=18,
1299                MATOP_NORM=19,
1300                MATOP_ASSEMBLY_BEGIN=20,
1301                MATOP_ASSEMBLY_END=21,
1302                MATOP_SET_OPTION=22,
1303                MATOP_ZERO_ENTRIES=23,
1304                MATOP_ZERO_ROWS=24,
1305                MATOP_LUFACTOR_SYMBOLIC=25,
1306                MATOP_LUFACTOR_NUMERIC=26,
1307                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1308                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1309                MATOP_SETUP_PREALLOCATION=29,
1310                MATOP_ILUFACTOR_SYMBOLIC=30,
1311                MATOP_ICCFACTOR_SYMBOLIC=31,
1312                /* MATOP_PLACEHOLDER_32=32, */
1313                /* MATOP_PLACEHOLDER_33=33, */
1314                MATOP_DUPLICATE=34,
1315                MATOP_FORWARD_SOLVE=35,
1316                MATOP_BACKWARD_SOLVE=36,
1317                MATOP_ILUFACTOR=37,
1318                MATOP_ICCFACTOR=38,
1319                MATOP_AXPY=39,
1320                MATOP_GET_SUBMATRICES=40,
1321                MATOP_INCREASE_OVERLAP=41,
1322                MATOP_GET_VALUES=42,
1323                MATOP_COPY=43,
1324                MATOP_GET_ROW_MAX=44,
1325                MATOP_SCALE=45,
1326                MATOP_SHIFT=46,
1327                MATOP_DIAGONAL_SET=47,
1328                MATOP_ZERO_ROWS_COLUMNS=48,
1329                MATOP_SET_RANDOM=49,
1330                MATOP_GET_ROW_IJ=50,
1331                MATOP_RESTORE_ROW_IJ=51,
1332                MATOP_GET_COLUMN_IJ=52,
1333                MATOP_RESTORE_COLUMN_IJ=53,
1334                MATOP_FDCOLORING_CREATE=54,
1335                MATOP_COLORING_PATCH=55,
1336                MATOP_SET_UNFACTORED=56,
1337                MATOP_PERMUTE=57,
1338                MATOP_SET_VALUES_BLOCKED=58,
1339                MATOP_GET_SUBMATRIX=59,
1340                MATOP_DESTROY=60,
1341                MATOP_VIEW=61,
1342                MATOP_CONVERT_FROM=62,
1343                MATOP_MATMAT_MULT=63,
1344                MATOP_MATMAT_MULT_SYMBOLIC=64,
1345                MATOP_MATMAT_MULT_NUMERIC=65,
1346                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1347                MATOP_SET_VALUES_LOCAL=67,
1348                MATOP_ZERO_ROWS_LOCAL=68,
1349                MATOP_GET_ROW_MAX_ABS=69,
1350                MATOP_GET_ROW_MIN_ABS=70,
1351                MATOP_CONVERT=71,
1352                MATOP_SET_COLORING=72,
1353                /* MATOP_PLACEHOLDER_73=73, */
1354                MATOP_SET_VALUES_ADIFOR=74,
1355                MATOP_FD_COLORING_APPLY=75,
1356                MATOP_SET_FROM_OPTIONS=76,
1357                MATOP_MULT_CONSTRAINED=77,
1358                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1359                MATOP_FIND_ZERO_DIAGONALS=79,
1360                MATOP_MULT_MULTIPLE=80,
1361                MATOP_SOLVE_MULTIPLE=81,
1362                MATOP_GET_INERTIA=82,
1363                MATOP_LOAD=83,
1364                MATOP_IS_SYMMETRIC=84,
1365                MATOP_IS_HERMITIAN=85,
1366                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1367                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1368                MATOP_GET_VECS=88,
1369                MATOP_MAT_MULT=89,
1370                MATOP_MAT_MULT_SYMBOLIC=90,
1371                MATOP_MAT_MULT_NUMERIC=91,
1372                MATOP_PTAP=92,
1373                MATOP_PTAP_SYMBOLIC=93,
1374                MATOP_PTAP_NUMERIC=94,
1375                MATOP_MAT_TRANSPOSE_MULT=95,
1376                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1377                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1378                /* MATOP_PLACEHOLDER_98=98, */
1379                /* MATOP_PLACEHOLDER_99=99, */
1380                /* MATOP_PLACEHOLDER_100=100, */
1381                /* MATOP_PLACEHOLDER_101=101, */
1382                MATOP_CONJUGATE=102,
1383                /* MATOP_PLACEHOLDER_103=103, */
1384                MATOP_SET_VALUES_ROW=104,
1385                MATOP_REAL_PART=105,
1386                MATOP_IMAGINARY_PART=106,
1387                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1388                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1389                MATOP_MAT_SOLVE=109,
1390                MATOP_GET_REDUNDANT_MATRIX=110,
1391                MATOP_GET_ROW_MIN=111,
1392                MATOP_GET_COLUMN_VECTOR=112,
1393                MATOP_MISSING_DIAGONAL=113,
1394                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1395                MATOP_CREATE=115,
1396                MATOP_GET_GHOSTS=116,
1397                MATOP_GET_LOCAL_SUB_MATRIX=117,
1398                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1399                MATOP_MULT_DIAGONAL_BLOCK=119,
1400                MATOP_HERMITIAN_TRANSPOSE=120,
1401                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1402                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1403                MATOP_GET_MULTI_PROC_BLOCK=123,
1404                MATOP_FIND_NONZERO_ROWS=124,
1405                MATOP_GET_COLUMN_NORMS=125,
1406                MATOP_INVERT_BLOCK_DIAGONAL=126,
1407                /* MATOP_PLACEHOLDER_127=127, */
1408                MATOP_GET_SUB_MATRICES_PARALLE=128,
1409                MATOP_SET_VALUES_BATCH=129,
1410                MATOP_TRANSPOSE_MAT_MULT=130,
1411                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1412                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1413                MATOP_TRANSPOSE_COLORING_CREAT=133,
1414                MATOP_TRANS_COLORING_APPLY_SPT=134,
1415                MATOP_TRANS_COLORING_APPLY_DEN=135,
1416                MATOP_RART=136,
1417                MATOP_RART_SYMBOLIC=137,
1418                MATOP_RART_NUMERIC=138,
1419                MATOP_SET_BLOCK_SIZES=139,
1420                MATOP_AYPX=140,
1421                MATOP_RESIDUAL=141,
1422                MATOP_FDCOLORING_SETUP= 142
1423              } MatOperation;
1424 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1425 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1426 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1427 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1428 
1429 /*
1430    Codes for matrices stored on disk. By default they are
1431    stored in a universal format. By changing the format with
1432    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1433    be stored in a way natural for the matrix, for example dense matrices
1434    would be stored as dense. Matrices stored this way may only be
1435    read into matrices of the same type.
1436 */
1437 #define MATRIX_BINARY_FORMAT_DENSE -1
1438 
1439 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1440 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1441 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1442 
1443 /*S
1444      MatNullSpace - Object that removes a null space from a vector, i.e.
1445          orthogonalizes the vector to a subsapce
1446 
1447    Level: advanced
1448 
1449   Concepts: matrix; linear operator, null space
1450 
1451   Users manual sections:
1452 .   sec_singular
1453 
1454 .seealso:  MatNullSpaceCreate()
1455 S*/
1456 typedef struct _p_MatNullSpace* MatNullSpace;
1457 
1458 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1459 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1460 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1461 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1462 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1463 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1464 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1465 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1466 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1467 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1468 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1469 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1470 
1471 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1472 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1473 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1474 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1475 
1476 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1477 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1478 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1479 
1480 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1481 
1482 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1483 
1484 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1485 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1486 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1487 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1488 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1489 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1490 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1491 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1492 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1493 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1494 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1495 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1496 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1497 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1498 
1499 /*S
1500     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1501               Jacobian vector products
1502 
1503     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1504 
1505            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1506 
1507     Level: developer
1508 
1509 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1510 S*/
1511 typedef struct _p_MatMFFD* MatMFFD;
1512 
1513 /*J
1514     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1515 
1516    Level: beginner
1517 
1518 .seealso: MatMFFDSetType(), MatMFFDRegister()
1519 J*/
1520 typedef const char* MatMFFDType;
1521 #define MATMFFD_DS  "ds"
1522 #define MATMFFD_WP  "wp"
1523 
1524 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1525 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1526 
1527 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1528 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1529 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1530 
1531 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1532 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1533 
1534 /*
1535    PETSc interface to MUMPS
1536 */
1537 #ifdef PETSC_HAVE_MUMPS
1538 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1539 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1540 #endif
1541 
1542 /*
1543    PETSc interface to SUPERLU
1544 */
1545 #ifdef PETSC_HAVE_SUPERLU
1546 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1547 #endif
1548 
1549 #ifdef PETSC_HAVE_CUDA
1550 /*E
1551     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1552     matrices.
1553 
1554     Not Collective
1555 
1556 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1557 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1558 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1559 
1560     Level: intermediate
1561 
1562    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1563 
1564 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1565 E*/
1566 
1567 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1568 
1569 /* these will be strings associated with enumerated type defined above */
1570 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1571 
1572 /*E
1573     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1574     matrices whose operation should use a particular storage format.
1575 
1576     Not Collective
1577 
1578 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1579 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1580 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1581 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1582 
1583     Level: intermediate
1584 
1585 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1586 E*/
1587 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1588 
1589 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1590 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1591 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1592 #endif
1593 
1594 #if defined(PETSC_HAVE_CUSP)
1595 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1596 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1597 
1598 /*E
1599     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1600     matrices.
1601 
1602     Not Collective
1603 
1604 +   MAT_CUSP_CSR - Compressed Sparse Row
1605 .   MAT_CUSP_DIA - Diagonal
1606 -   MAT_CUSP_ELL - Ellpack
1607 
1608     Level: intermediate
1609 
1610    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1611 
1612 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1613 E*/
1614 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1615 
1616 /* these will be strings associated with enumerated type defined above */
1617 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1618 
1619 /*E
1620     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1621     matrices whose operation should use a particular storage format.
1622 
1623     Not Collective
1624 
1625 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1626 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1627 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1628 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1629 
1630     Level: intermediate
1631 
1632    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1633 
1634 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1635 E*/
1636 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1637 
1638 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1639 #endif
1640 
1641 #if defined(PETSC_HAVE_VIENNACL)
1642 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1643 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1644 #endif
1645 
1646 /*
1647    PETSc interface to FFTW
1648 */
1649 #if defined(PETSC_HAVE_FFTW)
1650 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1651 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1652 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1653 #endif
1654 
1655 #if defined(PETSC_HAVE_ELEMENTAL)
1656 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1657 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1658 #endif
1659 
1660 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1661 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1662 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1663 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1664 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1665 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1666 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1667 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1668 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1669 
1670 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1671 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1672 
1673 #endif
1674