xref: /petsc/include/petscmat.h (revision 35d705712e4e30cc2db45fcc137e266709f373c9)
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 MATMPIAIJ          "mpiaij"
36 #define MATAIJCRL          "aijcrl"
37 #define MATSEQAIJCRL       "seqaijcrl"
38 #define MATMPIAIJCRL       "mpiaijcrl"
39 #define MATAIJCUSP         "aijcusp"
40 #define MATSEQAIJCUSP      "seqaijcusp"
41 #define MATMPIAIJCUSP      "mpiaijcusp"
42 #define MATAIJCUSPARSE     "aijcusparse"
43 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
44 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
45 #define MATAIJVIENNACL     "aijviennacl"
46 #define MATSEQAIJVIENNACL  "seqaijviennacl"
47 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
48 #define MATAIJPERM         "aijperm"
49 #define MATSEQAIJPERM      "seqaijperm"
50 #define MATMPIAIJPERM      "mpiaijperm"
51 #define MATSHELL           "shell"
52 #define MATDENSE           "dense"
53 #define MATSEQDENSE        "seqdense"
54 #define MATMPIDENSE        "mpidense"
55 #define MATELEMENTAL       "elemental"
56 #define MATBAIJ            "baij"
57 #define MATSEQBAIJ         "seqbaij"
58 #define MATMPIBAIJ         "mpibaij"
59 #define MATMPIADJ          "mpiadj"
60 #define MATSBAIJ           "sbaij"
61 #define MATSEQSBAIJ        "seqsbaij"
62 #define MATMPISBAIJ        "mpisbaij"
63 #define MATSEQBSTRM        "seqbstrm"
64 #define MATMPIBSTRM        "mpibstrm"
65 #define MATBSTRM           "bstrm"
66 #define MATSEQSBSTRM       "seqsbstrm"
67 #define MATMPISBSTRM       "mpisbstrm"
68 #define MATSBSTRM          "sbstrm"
69 #define MATDAAD            "daad"
70 #define MATMFFD            "mffd"
71 #define MATNORMAL          "normal"
72 #define MATNORMALHERMITIAN "normalh"
73 #define MATLRC             "lrc"
74 #define MATSCATTER         "scatter"
75 #define MATBLOCKMAT        "blockmat"
76 #define MATCOMPOSITE       "composite"
77 #define MATFFT             "fft"
78 #define MATFFTW            "fftw"
79 #define MATSEQCUFFT        "seqcufft"
80 #define MATTRANSPOSEMAT    "transpose"
81 #define MATSCHURCOMPLEMENT "schurcomplement"
82 #define MATPYTHON          "python"
83 #define MATHYPRESTRUCT     "hyprestruct"
84 #define MATHYPRESSTRUCT    "hypresstruct"
85 #define MATSUBMATRIX       "submatrix"
86 #define MATLOCALREF        "localref"
87 #define MATNEST            "nest"
88 #define MATPREALLOCATOR    "preallocator"
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_dist" the parallel SuperLU_DIST package etc
94 
95    Level: beginner
96 
97 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
98 J*/
99 #define MatSolverPackage char*
100 #define MATSOLVERSUPERLU      "superlu"
101 #define MATSOLVERSUPERLU_DIST "superlu_dist"
102 #define MATSOLVERUMFPACK      "umfpack"
103 #define MATSOLVERCHOLMOD      "cholmod"
104 #define MATSOLVERCLIQUE       "clique"
105 #define MATSOLVERKLU          "klu"
106 #define MATSOLVERELEMENTAL    "elemental"
107 #define MATSOLVERESSL         "essl"
108 #define MATSOLVERLUSOL        "lusol"
109 #define MATSOLVERMUMPS        "mumps"
110 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
111 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
112 #define MATSOLVERPASTIX       "pastix"
113 #define MATSOLVERMATLAB       "matlab"
114 #define MATSOLVERPETSC        "petsc"
115 #define MATSOLVERBAS          "bas"
116 #define MATSOLVERCUSPARSE     "cusparse"
117 #define MATSOLVERBSTRM        "bstrm"
118 #define MATSOLVERSBSTRM       "sbstrm"
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/petsc/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 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
137 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
138 
139 /* Logging support */
140 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
141 PETSC_EXTERN PetscClassId MAT_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
147 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
148 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
149 
150 /*E
151     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
152      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
153      that the input matrix is to be replaced with the converted matrix.
154 
155     Level: beginner
156 
157    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
158 
159 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
160 E*/
161 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
162 
163 /*E
164     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
165      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
166 
167     Level: beginner
168 
169 .seealso: MatGetSeqNonzerostructure()
170 E*/
171 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
172 
173 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
174 
175 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
176 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
177 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
178 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
179 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
180 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
181 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
182 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
184 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
185 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
186 
187 PETSC_EXTERN PetscFunctionList MatList;
188 PETSC_EXTERN PetscFunctionList MatColoringList;
189 PETSC_EXTERN PetscFunctionList MatPartitioningList;
190 PETSC_EXTERN PetscFunctionList MatCoarsenList;
191 
192 /*E
193     MatStructure - Indicates if two matrices have the same nonzero structure
194 
195     Level: beginner
196 
197    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
198 
199 .seealso: MatCopy(), MatAXPY()
200 E*/
201 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
202 
203 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
208 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
209 
210 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
213 
214 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
215 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
216 
217 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
219 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
220 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
221 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
222 
223 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
230 
231 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
235 
236 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
237 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
238 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
239 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
240 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
241 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
242 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
243 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
244 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
245 
246 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
248 
249 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
250 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
251 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
252 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
253 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
254 
255 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
256 
257 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
258 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
259 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
260 
261 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
262 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
264 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
265 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
266 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
267 
268 /* ------------------------------------------------------------*/
269 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
274 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
275 
276 /*S
277      MatStencil - Data structure (C struct) for storing information about a single row or
278         column of a matrix as indexed on an associated grid.
279 
280    Fortran usage is different, see MatSetValuesStencil() for details.
281 
282    Level: beginner
283 
284   Concepts: matrix; linear operator
285 
286 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
287 S*/
288 typedef struct {
289   PetscInt k,j,i,c;
290 } MatStencil;
291 
292 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
293 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
294 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
295 
296 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
297 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
298 
299 /*E
300     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
301      to continue to add values to it
302 
303     Level: beginner
304 
305 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
306 E*/
307 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
308 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
309 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
310 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
311 
312 
313 
314 /*E
315     MatOption - Options that may be set for a matrix and its behavior or storage
316 
317     Level: beginner
318 
319    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
320 
321    Developer Notes: Entries that are negative need not be called collectively by all processes.
322 
323 .seealso: MatSetOption()
324 E*/
325 typedef enum {MAT_OPTION_MIN = -3,
326               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
327               MAT_ROW_ORIENTED = -1,
328               MAT_SYMMETRIC = 1,
329               MAT_STRUCTURALLY_SYMMETRIC = 2,
330               MAT_NEW_DIAGONALS = 3,
331               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
332               MAT_USE_HASH_TABLE = 5,
333               MAT_KEEP_NONZERO_PATTERN = 6,
334               MAT_IGNORE_ZERO_ENTRIES = 7,
335               MAT_USE_INODES = 8,
336               MAT_HERMITIAN = 9,
337               MAT_SYMMETRY_ETERNAL = 10,
338               MAT_NEW_NONZERO_LOCATION_ERR = 11,
339               MAT_IGNORE_LOWER_TRIANGULAR = 12,
340               MAT_ERROR_LOWER_TRIANGULAR = 13,
341               MAT_GETROW_UPPERTRIANGULAR = 14,
342               MAT_SPD = 15,
343               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
344               MAT_NO_OFF_PROC_ENTRIES = 17,
345               MAT_NEW_NONZERO_LOCATIONS = 18,
346               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
347               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
348               MAT_OPTION_MAX = 21} MatOption;
349 
350 PETSC_EXTERN const char *MatOptions[];
351 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
352 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
353 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
354 
355 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
356 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
357 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
358 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
359 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
360 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
361 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
362 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
367 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
369 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
370 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
371 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
372 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
373 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
374 
375 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
381 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
382 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
387 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
388 
389 /*E
390     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
391   its numerical values copied over or just its nonzero structure.
392 
393     Level: beginner
394 
395    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
396 
397 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
398 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
399 $                               have several matrices with the same nonzero pattern.
400 
401 .seealso: MatDuplicate()
402 E*/
403 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
404 
405 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
406 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
407 
408 
409 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
410 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
411 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
412 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
417 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
418 
419 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
420 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
421 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 
424 /*S
425      MatInfo - Context of matrix information, used with MatGetInfo()
426 
427    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
428 
429    Level: intermediate
430 
431   Concepts: matrix^nonzero information
432 
433 .seealso:  MatGetInfo(), MatInfoType
434 S*/
435 typedef struct {
436   PetscLogDouble block_size;                         /* block size */
437   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
438   PetscLogDouble memory;                             /* memory allocated */
439   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
440   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
441   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
442   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
443 } MatInfo;
444 
445 /*E
446     MatInfoType - Indicates if you want information about the local part of the matrix,
447      the entire parallel matrix or the maximum over all the local parts.
448 
449     Level: beginner
450 
451    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
452 
453 .seealso: MatGetInfo(), MatInfo
454 E*/
455 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
456 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
457 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
458 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
459 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
460 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
463 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
464 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
465 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
466 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
467 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
468 
469 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
470 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
471 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
472 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
473 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
474 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
475 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
476 
477 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
478 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
479 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
480 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
481 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
482 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
483 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
484 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
485 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
486 
487 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
488 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
489 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
490 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
491 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
492 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
493 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
494 
495 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
496 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
497 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
498 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
499 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
500 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
501 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
502 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
503 
504 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
505 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
506 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
507 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
508 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
509 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
510 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
511 
512 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
513 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
514 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
515 
516 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
519 
520 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
521 
522 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
525 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
528 
529 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
532 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
534 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
535 
536 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
537 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
538 
539 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
540 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
541 
542 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
543 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
544 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
545 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
550 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
551 
552 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
553 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
554 
555 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
559 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
560 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
561 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
562 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
563 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
564 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
565 
566 /*MC
567    MatSetValue - Set a single entry into a matrix.
568 
569    Not collective
570 
571    Synopsis:
572      #include <petscmat.h>
573      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
574 
575    Input Parameters:
576 +  m - the matrix
577 .  row - the row location of the entry
578 .  col - the column location of the entry
579 .  value - the value to insert
580 -  mode - either INSERT_VALUES or ADD_VALUES
581 
582    Notes:
583    For efficiency one should use MatSetValues() and set several or many
584    values simultaneously if possible.
585 
586    Level: beginner
587 
588 .seealso: MatSetValues(), MatSetValueLocal()
589 M*/
590 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
591 
592 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
593 
594 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
595 
596 /*MC
597    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
598        row in a matrix providing the data that one can use to correctly preallocate the matrix.
599 
600    Synopsis:
601    #include <petscmat.h>
602    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
603 
604    Collective on MPI_Comm
605 
606    Input Parameters:
607 +  comm - the communicator that will share the eventually allocated matrix
608 .  nrows - the number of LOCAL rows in the matrix
609 -  ncols - the number of LOCAL columns in the matrix
610 
611    Output Parameters:
612 +  dnz - the array that will be passed to the matrix preallocation routines
613 -  ozn - the other array passed to the matrix preallocation routines
614 
615    Level: intermediate
616 
617    Notes:
618     See Users-Manual: ch_performance for more details.
619 
620    Do not malloc or free dnz and onz, that is handled internally by these routines
621 
622    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
623 
624    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
625 
626   Concepts: preallocation^Matrix
627 
628 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
629           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
630 M*/
631 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
632 { \
633   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
634   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
635   __start = 0; __end = __start;                                         \
636   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
637   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
638 
639 /*MC
640    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
641        inserted using a local number of the rows and columns
642 
643    Synopsis:
644    #include <petscmat.h>
645    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
646 
647    Not Collective
648 
649    Input Parameters:
650 +  map - the row mapping from local numbering to global numbering
651 .  nrows - the number of rows indicated
652 .  rows - the indices of the rows
653 .  cmap - the column mapping from local to global numbering
654 .  ncols - the number of columns in the matrix
655 .  cols - the columns indicated
656 .  dnz - the array that will be passed to the matrix preallocation routines
657 -  ozn - the other array passed to the matrix preallocation routines
658 
659    Level: intermediate
660 
661    Notes:
662     See Users-Manual: ch_performance for more details.
663 
664    Do not malloc or free dnz and onz, that is handled internally by these routines
665 
666   Concepts: preallocation^Matrix
667 
668 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
669           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
670 M*/
671 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
672 {\
673   PetscInt __l;\
674   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
675   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
676   for (__l=0;__l<nrows;__l++) {\
677     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
678   }\
679 }
680 
681 /*MC
682    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
683        inserted using a local number of the rows and columns
684 
685    Synopsis:
686    #include <petscmat.h>
687    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
688 
689    Not Collective
690 
691    Input Parameters:
692 +  map - the row mapping from local numbering to global numbering
693 .  nrows - the number of rows indicated
694 .  rows - the indices of the rows
695 .  cmap - the column mapping from local to global numbering
696 .  ncols - the number of columns in the matrix
697 .  cols - the columns indicated
698 .  dnz - the array that will be passed to the matrix preallocation routines
699 -  ozn - the other array passed to the matrix preallocation routines
700 
701    Level: intermediate
702 
703    Notes:
704     See Users-Manual: ch_performance for more details.
705 
706    Do not malloc or free dnz and onz, that is handled internally by these routines
707 
708   Concepts: preallocation^Matrix
709 
710 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
711           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
712 M*/
713 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
714 {\
715   PetscInt __l;\
716   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
717   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
718   for (__l=0;__l<nrows;__l++) {\
719     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
720   }\
721 }
722 
723 /*MC
724    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
725        inserted using a local number of the rows and columns
726 
727    Synopsis:
728    #include <petscmat.h>
729    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
730 
731    Not Collective
732 
733    Input Parameters:
734 +  map - the mapping between local numbering and global numbering
735 .  nrows - the number of rows indicated
736 .  rows - the indices of the rows
737 .  ncols - the number of columns in the matrix
738 .  cols - the columns indicated
739 .  dnz - the array that will be passed to the matrix preallocation routines
740 -  ozn - the other array passed to the matrix preallocation routines
741 
742    Level: intermediate
743 
744    Notes:
745     See Users-Manual: ch_performance for more details.
746 
747    Do not malloc or free dnz and onz that is handled internally by these routines
748 
749   Concepts: preallocation^Matrix
750 
751 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
752           MatPreallocateInitialize(),  MatPreallocateSetLocal()
753 M*/
754 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
755 {\
756   PetscInt __l;\
757   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
758   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
759   for (__l=0;__l<nrows;__l++) {\
760     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
761   }\
762 }
763 /*MC
764    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
765        inserted using a local number of the rows and columns
766 
767    Synopsis:
768    #include <petscmat.h>
769    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
770 
771    Not Collective
772 
773    Input Parameters:
774 +  row - the row
775 .  ncols - the number of columns in the matrix
776 -  cols - the columns indicated
777 
778    Output Parameters:
779 +  dnz - the array that will be passed to the matrix preallocation routines
780 -  ozn - the other array passed to the matrix preallocation routines
781 
782    Level: intermediate
783 
784    Notes:
785     See Users-Manual: ch_performance for more details.
786 
787    Do not malloc or free dnz and onz that is handled internally by these routines
788 
789    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
790 
791   Concepts: preallocation^Matrix
792 
793 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
794           MatPreallocateInitialize(), MatPreallocateSetLocal()
795 M*/
796 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
797 { PetscInt __i; \
798   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);\
799   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);\
800   for (__i=0; __i<nc; __i++) {\
801     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
802     else dnz[row - __rstart]++;\
803   }\
804 }
805 
806 /*MC
807    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
808        inserted using a local number of the rows and columns
809 
810    Synopsis:
811    #include <petscmat.h>
812    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
813 
814    Not Collective
815 
816    Input Parameters:
817 +  nrows - the number of rows indicated
818 .  rows - the indices of the rows
819 .  ncols - the number of columns in the matrix
820 .  cols - the columns indicated
821 .  dnz - the array that will be passed to the matrix preallocation routines
822 -  ozn - the other array passed to the matrix preallocation routines
823 
824    Level: intermediate
825 
826    Notes:
827     See Users-Manual: ch_performance for more details.
828 
829    Do not malloc or free dnz and onz that is handled internally by these routines
830 
831    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
832 
833   Concepts: preallocation^Matrix
834 
835 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
836           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
837 M*/
838 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
839 { PetscInt __i; \
840   for (__i=0; __i<nc; __i++) {\
841     if (cols[__i] >= __end) onz[row - __rstart]++; \
842     else if (cols[__i] >= row) dnz[row - __rstart]++;\
843   }\
844 }
845 
846 /*MC
847    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
848 
849    Synopsis:
850    #include <petscmat.h>
851    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
852 
853    Not Collective
854 
855    Input Parameters:
856 .  A - matrix
857 .  row - row where values exist (must be local to this process)
858 .  ncols - number of columns
859 .  cols - columns with nonzeros
860 .  dnz - the array that will be passed to the matrix preallocation routines
861 -  ozn - the other array passed to the matrix preallocation routines
862 
863    Level: intermediate
864 
865    Notes:
866     See Users-Manual: ch_performance for more details.
867 
868    Do not malloc or free dnz and onz that is handled internally by these routines
869 
870    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
871 
872   Concepts: preallocation^Matrix
873 
874 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
875           MatPreallocateSymmetricSetLocalBlock()
876 M*/
877 #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);}
878 
879 
880 /*MC
881    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
882        row in a matrix providing the data that one can use to correctly preallocate the matrix.
883 
884    Synopsis:
885    #include <petscmat.h>
886    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
887 
888    Collective on MPI_Comm
889 
890    Input Parameters:
891 +  dnz - the array that was be passed to the matrix preallocation routines
892 -  ozn - the other array passed to the matrix preallocation routines
893 
894    Level: intermediate
895 
896    Notes:
897     See Users-Manual: ch_performance for more details.
898 
899    Do not malloc or free dnz and onz that is handled internally by these routines
900 
901    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
902 
903   Concepts: preallocation^Matrix
904 
905 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
906           MatPreallocateSymmetricSetLocalBlock()
907 M*/
908 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
909 
910 /* Routines unique to particular data structures */
911 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
912 
913 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
914 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
915 
916 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
917 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
918 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
919 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
920 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
921 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
922 
923 #define MAT_SKIP_ALLOCATION -4
924 
925 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
926 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
927 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
928 
929 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
930 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
931 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
933 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
934 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
935 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
936 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
937 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
938 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
939 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
940 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
941 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
942 
943 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
944 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
945 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
946 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
947 
948 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
949 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
950 
951 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
952 
953 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
954 /*
955   These routines are not usually accessed directly, rather solving is
956   done through the KSP and PC interfaces.
957 */
958 
959 /*J
960     MatOrderingType - String with the name of a PETSc matrix ordering
961 
962    Level: beginner
963 
964 .seealso: MatGetOrdering()
965 J*/
966 typedef const char* MatOrderingType;
967 #define MATORDERINGNATURAL     "natural"
968 #define MATORDERINGND          "nd"
969 #define MATORDERING1WD         "1wd"
970 #define MATORDERINGRCM         "rcm"
971 #define MATORDERINGQMD         "qmd"
972 #define MATORDERINGROWLENGTH   "rowlength"
973 #define MATORDERINGWBM         "wbm"
974 #define MATORDERINGSPECTRAL    "spectral"
975 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
976 
977 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
978 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
979 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
980 PETSC_EXTERN PetscFunctionList MatOrderingList;
981 
982 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
983 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
984 
985 /*S
986     MatFactorShiftType - Numeric Shift.
987 
988    Level: beginner
989 
990 S*/
991 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
992 PETSC_EXTERN const char *const MatFactorShiftTypes[];
993 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
994 
995 /*S
996     MatFactorError - indicates what type of error in matrix factor
997 
998     Level: beginner
999 
1000     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1001 S*/
1002 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1003 
1004 /*S
1005    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1006 
1007    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1008 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1009 
1010    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1011 
1012       You can use MatFactorInfoInitialize() to set default values.
1013 
1014    Level: developer
1015 
1016 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1017           MatFactorInfoInitialize()
1018 
1019 S*/
1020 typedef struct {
1021   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1022   PetscReal     usedt;
1023   PetscReal     dt;             /* drop tolerance */
1024   PetscReal     dtcol;          /* tolerance for pivoting */
1025   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1026   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1027   PetscReal     levels;         /* ICC/ILU(levels) */
1028   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1029                                    factorization may be faster if do not pivot */
1030   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1031   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1032   PetscReal     shiftamount;     /* how large the shift is */
1033 } MatFactorInfo;
1034 
1035 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1036 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1037 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1038 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1039 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1040 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1041 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1042 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1043 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1044 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1045 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1046 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1047 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1048 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1049 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1050 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1051 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1052 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1053 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1054 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1055 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1056 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1057 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1058 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1059 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1060 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1061 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1062 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
1063 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1064 
1065 /*E
1066     MatSORType - What type of (S)SOR to perform
1067 
1068     Level: beginner
1069 
1070    May be bitwise ORd together
1071 
1072    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1073 
1074    MatSORType may be bitwise ORd together, so do not change the numbers
1075 
1076 .seealso: MatSOR()
1077 E*/
1078 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1079               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1080               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1081               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1082 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1083 
1084 /*
1085     These routines are for efficiently computing Jacobians via finite differences.
1086 */
1087 
1088 /*S
1089      MatColoring - Object for managing the coloring of matrices.
1090 
1091    Level: beginner
1092 
1093   Concepts: matrix, coloring
1094 
1095 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1096 S*/
1097 typedef struct _p_MatColoring* MatColoring;
1098 /*J
1099     MatColoringType - String with the name of a PETSc matrix coloring
1100 
1101    Level: beginner
1102 
1103 .seealso: MatColoringSetType(), MatColoring
1104 J*/
1105 
1106 typedef const  char*           MatColoringType;
1107 #define MATCOLORINGJP      "jp"
1108 #define MATCOLORINGPOWER   "power"
1109 #define MATCOLORINGNATURAL "natural"
1110 #define MATCOLORINGSL      "sl"
1111 #define MATCOLORINGLF      "lf"
1112 #define MATCOLORINGID      "id"
1113 #define MATCOLORINGGREEDY  "greedy"
1114 
1115 /*E
1116    MatColoringWeightType - Type of weight scheme
1117 
1118     Not Collective
1119 
1120 +   MAT_COLORING_RANDOM  - Random weights
1121 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1122 -   MAT_COLORING_LF      - Last-first weighting.
1123 
1124     Level: intermediate
1125 
1126    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1127 
1128 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1129 E*/
1130 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1131 
1132 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1133 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1134 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1135 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1136 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1137 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1138 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1139 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1140 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1141 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1142 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1143 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1144 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1145 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1146 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1147 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1148 
1149 /*S
1150      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1151         and coloring
1152 
1153    Level: beginner
1154 
1155   Concepts: coloring, sparse Jacobian, finite differences
1156 
1157 .seealso:  MatFDColoringCreate()
1158 S*/
1159 typedef struct _p_MatFDColoring* MatFDColoring;
1160 
1161 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1162 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1163 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1164 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1165 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1166 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1167 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1168 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1169 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1170 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1171 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1172 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1173 
1174 
1175 /*S
1176      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1177 
1178    Level: beginner
1179 
1180   Concepts: coloring, sparse matrix product
1181 
1182 .seealso:  MatTransposeColoringCreate()
1183 S*/
1184 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1185 
1186 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1187 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1188 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1189 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1190 
1191 /*
1192     These routines are for partitioning matrices: currently used only
1193   for adjacency matrix, MatCreateMPIAdj().
1194 */
1195 
1196 /*S
1197      MatPartitioning - Object for managing the partitioning of a matrix or graph
1198 
1199    Level: beginner
1200 
1201   Concepts: partitioning
1202 
1203 .seealso:  MatPartitioningCreate(), MatPartitioningType
1204 S*/
1205 typedef struct _p_MatPartitioning* MatPartitioning;
1206 
1207 /*J
1208     MatPartitioningType - String with the name of a PETSc matrix partitioning
1209 
1210    Level: beginner
1211 dm
1212 .seealso: MatPartitioningCreate(), MatPartitioning
1213 J*/
1214 typedef const char* MatPartitioningType;
1215 #define MATPARTITIONINGCURRENT  "current"
1216 #define MATPARTITIONINGAVERAGE   "average"
1217 #define MATPARTITIONINGSQUARE   "square"
1218 #define MATPARTITIONINGPARMETIS "parmetis"
1219 #define MATPARTITIONINGCHACO    "chaco"
1220 #define MATPARTITIONINGPARTY    "party"
1221 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1222 #define MATPARTITIONINGHIERARCH  "hierarch"
1223 
1224 
1225 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1226 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1227 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1228 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1229 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1230 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1231 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1232 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1233 
1234 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1235 
1236 
1237 
1238 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1240 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1241 
1242 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1243 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1244 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1245 
1246 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1247 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1248 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1249 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1250 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1251 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1252 
1253 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1254 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1255 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1256 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1257 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1258 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1259 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1260 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1261 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1262 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1263 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1264 
1265 #define MP_PARTY_OPT "opt"
1266 #define MP_PARTY_LIN "lin"
1267 #define MP_PARTY_SCA "sca"
1268 #define MP_PARTY_RAN "ran"
1269 #define MP_PARTY_GBF "gbf"
1270 #define MP_PARTY_GCF "gcf"
1271 #define MP_PARTY_BUB "bub"
1272 #define MP_PARTY_DEF "def"
1273 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1274 #define MP_PARTY_HELPFUL_SETS "hs"
1275 #define MP_PARTY_KERNIGHAN_LIN "kl"
1276 #define MP_PARTY_NONE "no"
1277 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1278 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1279 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1280 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1281 
1282 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1283 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1284 
1285 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1286 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1287 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1288 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1289 
1290 /*
1291  * hierarchical partitioning
1292  */
1293 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1294 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1295 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1296 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1297 
1298 /*
1299     These routines are for coarsening matrices:
1300 */
1301 
1302 /*S
1303      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1304 
1305    Level: beginner
1306 
1307   Concepts: coarsen
1308 
1309 .seealso:  MatCoarsenCreate), MatCoarsenType
1310 S*/
1311 typedef struct _p_MatCoarsen* MatCoarsen;
1312 
1313 /*J
1314     MatCoarsenType - String with the name of a PETSc matrix coarsen
1315 
1316    Level: beginner
1317 
1318 .seealso: MatCoarsenCreate(), MatCoarsen
1319 J*/
1320 typedef const char* MatCoarsenType;
1321 #define MATCOARSENMIS  "mis"
1322 #define MATCOARSENHEM  "hem"
1323 
1324 /* linked list for aggregates */
1325 typedef struct _PetscCDIntNd{
1326   struct _PetscCDIntNd *next;
1327   PetscInt             gid;
1328 }PetscCDIntNd;
1329 
1330 /* only used by node pool */
1331 typedef struct _PetscCDArrNd{
1332   struct _PetscCDArrNd *next;
1333   struct _PetscCDIntNd *array;
1334 }PetscCDArrNd;
1335 
1336 typedef struct _PetscCoarsenData{
1337   PetscCDArrNd pool_list;  /* node pool */
1338   PetscCDIntNd *new_node;
1339   PetscInt     new_left;
1340   PetscInt     chk_sz;
1341   PetscCDIntNd *extra_nodes;
1342   PetscCDIntNd **array;  /* Array of lists */
1343   PetscInt     size;
1344   Mat          mat;  /* cache a Mat for communication data */
1345 }PetscCoarsenData;
1346 
1347 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1348 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1349 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1350 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1351 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1352 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1353 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1354 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1355 
1356 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1357 
1358 
1359 
1360 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1361 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1362 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1363 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
1364 
1365 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1366 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1367 
1368 /*
1369     If you add entries here you must also add them to petsc/finclude/petscmat.h
1370 */
1371 typedef enum { MATOP_SET_VALUES=0,
1372                MATOP_GET_ROW=1,
1373                MATOP_RESTORE_ROW=2,
1374                MATOP_MULT=3,
1375                MATOP_MULT_ADD=4,
1376                MATOP_MULT_TRANSPOSE=5,
1377                MATOP_MULT_TRANSPOSE_ADD=6,
1378                MATOP_SOLVE=7,
1379                MATOP_SOLVE_ADD=8,
1380                MATOP_SOLVE_TRANSPOSE=9,
1381                MATOP_SOLVE_TRANSPOSE_ADD=10,
1382                MATOP_LUFACTOR=11,
1383                MATOP_CHOLESKYFACTOR=12,
1384                MATOP_SOR=13,
1385                MATOP_TRANSPOSE=14,
1386                MATOP_GETINFO=15,
1387                MATOP_EQUAL=16,
1388                MATOP_GET_DIAGONAL=17,
1389                MATOP_DIAGONAL_SCALE=18,
1390                MATOP_NORM=19,
1391                MATOP_ASSEMBLY_BEGIN=20,
1392                MATOP_ASSEMBLY_END=21,
1393                MATOP_SET_OPTION=22,
1394                MATOP_ZERO_ENTRIES=23,
1395                MATOP_ZERO_ROWS=24,
1396                MATOP_LUFACTOR_SYMBOLIC=25,
1397                MATOP_LUFACTOR_NUMERIC=26,
1398                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1399                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1400                MATOP_SETUP_PREALLOCATION=29,
1401                MATOP_ILUFACTOR_SYMBOLIC=30,
1402                MATOP_ICCFACTOR_SYMBOLIC=31,
1403                /* MATOP_PLACEHOLDER_32=32, */
1404                /* MATOP_PLACEHOLDER_33=33, */
1405                MATOP_DUPLICATE=34,
1406                MATOP_FORWARD_SOLVE=35,
1407                MATOP_BACKWARD_SOLVE=36,
1408                MATOP_ILUFACTOR=37,
1409                MATOP_ICCFACTOR=38,
1410                MATOP_AXPY=39,
1411                MATOP_GET_SUBMATRICES=40,
1412                MATOP_INCREASE_OVERLAP=41,
1413                MATOP_GET_VALUES=42,
1414                MATOP_COPY=43,
1415                MATOP_GET_ROW_MAX=44,
1416                MATOP_SCALE=45,
1417                MATOP_SHIFT=46,
1418                MATOP_DIAGONAL_SET=47,
1419                MATOP_ZERO_ROWS_COLUMNS=48,
1420                MATOP_SET_RANDOM=49,
1421                MATOP_GET_ROW_IJ=50,
1422                MATOP_RESTORE_ROW_IJ=51,
1423                MATOP_GET_COLUMN_IJ=52,
1424                MATOP_RESTORE_COLUMN_IJ=53,
1425                MATOP_FDCOLORING_CREATE=54,
1426                MATOP_COLORING_PATCH=55,
1427                MATOP_SET_UNFACTORED=56,
1428                MATOP_PERMUTE=57,
1429                MATOP_SET_VALUES_BLOCKED=58,
1430                MATOP_GET_SUBMATRIX=59,
1431                MATOP_DESTROY=60,
1432                MATOP_VIEW=61,
1433                MATOP_CONVERT_FROM=62,
1434                MATOP_MATMAT_MULT=63,
1435                MATOP_MATMAT_MULT_SYMBOLIC=64,
1436                MATOP_MATMAT_MULT_NUMERIC=65,
1437                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1438                MATOP_SET_VALUES_LOCAL=67,
1439                MATOP_ZERO_ROWS_LOCAL=68,
1440                MATOP_GET_ROW_MAX_ABS=69,
1441                MATOP_GET_ROW_MIN_ABS=70,
1442                MATOP_CONVERT=71,
1443                MATOP_SET_COLORING=72,
1444                /* MATOP_PLACEHOLDER_73=73, */
1445                MATOP_SET_VALUES_ADIFOR=74,
1446                MATOP_FD_COLORING_APPLY=75,
1447                MATOP_SET_FROM_OPTIONS=76,
1448                MATOP_MULT_CONSTRAINED=77,
1449                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1450                MATOP_FIND_ZERO_DIAGONALS=79,
1451                MATOP_MULT_MULTIPLE=80,
1452                MATOP_SOLVE_MULTIPLE=81,
1453                MATOP_GET_INERTIA=82,
1454                MATOP_LOAD=83,
1455                MATOP_IS_SYMMETRIC=84,
1456                MATOP_IS_HERMITIAN=85,
1457                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1458                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1459                MATOP_GET_VECS=88,
1460                MATOP_MAT_MULT=89,
1461                MATOP_MAT_MULT_SYMBOLIC=90,
1462                MATOP_MAT_MULT_NUMERIC=91,
1463                MATOP_PTAP=92,
1464                MATOP_PTAP_SYMBOLIC=93,
1465                MATOP_PTAP_NUMERIC=94,
1466                MATOP_MAT_TRANSPOSE_MULT=95,
1467                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1468                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1469                /* MATOP_PLACEHOLDER_98=98, */
1470                /* MATOP_PLACEHOLDER_99=99, */
1471                /* MATOP_PLACEHOLDER_100=100, */
1472                /* MATOP_PLACEHOLDER_101=101, */
1473                MATOP_CONJUGATE=102,
1474                /* MATOP_PLACEHOLDER_103=103, */
1475                MATOP_SET_VALUES_ROW=104,
1476                MATOP_REAL_PART=105,
1477                MATOP_IMAGINARY_PART=106,
1478                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1479                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1480                MATOP_MAT_SOLVE=109,
1481                MATOP_GET_REDUNDANT_MATRIX=110,
1482                MATOP_GET_ROW_MIN=111,
1483                MATOP_GET_COLUMN_VECTOR=112,
1484                MATOP_MISSING_DIAGONAL=113,
1485                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1486                MATOP_CREATE=115,
1487                MATOP_GET_GHOSTS=116,
1488                MATOP_GET_LOCAL_SUB_MATRIX=117,
1489                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1490                MATOP_MULT_DIAGONAL_BLOCK=119,
1491                MATOP_HERMITIAN_TRANSPOSE=120,
1492                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1493                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1494                MATOP_GET_MULTI_PROC_BLOCK=123,
1495                MATOP_FIND_NONZERO_ROWS=124,
1496                MATOP_GET_COLUMN_NORMS=125,
1497                MATOP_INVERT_BLOCK_DIAGONAL=126,
1498                /* MATOP_PLACEHOLDER_127=127, */
1499                MATOP_GET_SUB_MATRICES_PARALLE=128,
1500                MATOP_SET_VALUES_BATCH=129,
1501                MATOP_TRANSPOSE_MAT_MULT=130,
1502                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1503                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1504                MATOP_TRANSPOSE_COLORING_CREAT=133,
1505                MATOP_TRANS_COLORING_APPLY_SPT=134,
1506                MATOP_TRANS_COLORING_APPLY_DEN=135,
1507                MATOP_RART=136,
1508                MATOP_RART_SYMBOLIC=137,
1509                MATOP_RART_NUMERIC=138,
1510                MATOP_SET_BLOCK_SIZES=139,
1511                MATOP_AYPX=140,
1512                MATOP_RESIDUAL=141,
1513                MATOP_FDCOLORING_SETUP=142,
1514                MATOP_MPICONCATENATESEQ=144
1515              } MatOperation;
1516 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1517 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1518 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1519 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1520 
1521 /*
1522    Codes for matrices stored on disk. By default they are
1523    stored in a universal format. By changing the format with
1524    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1525    be stored in a way natural for the matrix, for example dense matrices
1526    would be stored as dense. Matrices stored this way may only be
1527    read into matrices of the same type.
1528 */
1529 #define MATRIX_BINARY_FORMAT_DENSE -1
1530 
1531 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1532 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1533 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1534 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1535 
1536 /*S
1537      MatNullSpace - Object that removes a null space from a vector, i.e.
1538          orthogonalizes the vector to a subsapce
1539 
1540    Level: advanced
1541 
1542   Concepts: matrix; linear operator, null space
1543 
1544   Users manual sections:
1545 .   sec_singular
1546 
1547 .seealso:  MatNullSpaceCreate()
1548 S*/
1549 typedef struct _p_MatNullSpace* MatNullSpace;
1550 
1551 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1552 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1553 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1554 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1555 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1556 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1557 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1558 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1559 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1560 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1561 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1562 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1563 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1564 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1565 
1566 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1567 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1568 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1569 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1570 
1571 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1572 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1573 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1574 
1575 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1576 
1577 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1578 
1579 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1580 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1581 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1582 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1583 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1584 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1585 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1586 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1587 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1588 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1589 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1590 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1591 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1592 
1593 /*S
1594     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1595               Jacobian vector products
1596 
1597     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1598 
1599            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1600 
1601     Level: developer
1602 
1603 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1604 S*/
1605 typedef struct _p_MatMFFD* MatMFFD;
1606 
1607 /*J
1608     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1609 
1610    Level: beginner
1611 
1612 .seealso: MatMFFDSetType(), MatMFFDRegister()
1613 J*/
1614 typedef const char* MatMFFDType;
1615 #define MATMFFD_DS  "ds"
1616 #define MATMFFD_WP  "wp"
1617 
1618 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1619 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1620 
1621 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1622 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1623 
1624 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1625 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1626 
1627 /*
1628    PETSc interface to MUMPS
1629 */
1630 #ifdef PETSC_HAVE_MUMPS
1631 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1632 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1633 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1634 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1635 
1636 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1637 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1638 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1639 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1640 #endif
1641 
1642 /*
1643    PETSc interface to Mkl_Pardiso
1644 */
1645 #ifdef PETSC_HAVE_MKL_PARDISO
1646 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1647 #endif
1648 
1649 /*
1650    PETSc interface to Mkl_CPardiso
1651 */
1652 #ifdef PETSC_HAVE_MKL_CPARDISO
1653 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1654 #endif
1655 
1656 /*
1657    PETSc interface to SUPERLU
1658 */
1659 #ifdef PETSC_HAVE_SUPERLU
1660 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1661 #endif
1662 
1663 #ifdef PETSC_HAVE_CUDA
1664 /*E
1665     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1666     matrices.
1667 
1668     Not Collective
1669 
1670 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1671 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1672 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1673 
1674     Level: intermediate
1675 
1676    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1677 
1678 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1679 E*/
1680 
1681 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1682 
1683 /* these will be strings associated with enumerated type defined above */
1684 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1685 
1686 /*E
1687     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1688     matrices whose operation should use a particular storage format.
1689 
1690     Not Collective
1691 
1692 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1693 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1694 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1695 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1696 
1697     Level: intermediate
1698 
1699 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1700 E*/
1701 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1702 
1703 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1704 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1705 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1706 #endif
1707 
1708 #if defined(PETSC_HAVE_CUSP)
1709 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1710 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1711 
1712 /*E
1713     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1714     matrices.
1715 
1716     Not Collective
1717 
1718 +   MAT_CUSP_CSR - Compressed Sparse Row
1719 .   MAT_CUSP_DIA - Diagonal
1720 -   MAT_CUSP_ELL - Ellpack
1721 
1722     Level: intermediate
1723 
1724    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1725 
1726 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1727 E*/
1728 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1729 
1730 /* these will be strings associated with enumerated type defined above */
1731 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1732 
1733 /*E
1734     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1735     matrices whose operation should use a particular storage format.
1736 
1737     Not Collective
1738 
1739 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1740 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1741 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1742 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1743 
1744     Level: intermediate
1745 
1746    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1747 
1748 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1749 E*/
1750 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1751 
1752 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1753 #endif
1754 
1755 #if defined(PETSC_HAVE_VIENNACL)
1756 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1757 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1758 #endif
1759 
1760 /*
1761    PETSc interface to FFTW
1762 */
1763 #if defined(PETSC_HAVE_FFTW)
1764 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1765 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1766 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1767 #endif
1768 
1769 /*
1770    PETSc interface to ELEMENTAL
1771 */
1772 #if defined(PETSC_HAVE_ELEMENTAL)
1773 #if defined(PETSC_USE_COMPLEX)
1774 typedef El::Complex<PetscReal> PetscElemScalar;
1775 #else
1776 typedef PetscScalar PetscElemScalar;
1777 #endif
1778 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1779 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1780 #endif
1781 
1782 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1783 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1784 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1785 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1786 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1787 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1788 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1789 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1790 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1791 
1792 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1793 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1794 
1795 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1796 
1797 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1798 
1799 #endif
1800