xref: /petsc/include/petscmat.h (revision 2b8d69ca7ea5fe9190df62c1dce3bbd66fce84dd)
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 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
523 
524 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
527 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
530 
531 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
534 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
535 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
536 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
537 
538 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
539 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
540 
541 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
542 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
543 
544 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
545 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
546 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
547 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
550 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
552 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
553 
554 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
555 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
556 
557 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
559 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
560 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
561 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
562 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
563 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
564 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
565 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
566 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
567 
568 /*MC
569    MatSetValue - Set a single entry into a matrix.
570 
571    Not collective
572 
573    Synopsis:
574      #include <petscmat.h>
575      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
576 
577    Input Parameters:
578 +  m - the matrix
579 .  row - the row location of the entry
580 .  col - the column location of the entry
581 .  value - the value to insert
582 -  mode - either INSERT_VALUES or ADD_VALUES
583 
584    Notes:
585    For efficiency one should use MatSetValues() and set several or many
586    values simultaneously if possible.
587 
588    Level: beginner
589 
590 .seealso: MatSetValues(), MatSetValueLocal()
591 M*/
592 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
593 
594 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
595 
596 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
597 
598 /*MC
599    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
600        row in a matrix providing the data that one can use to correctly preallocate the matrix.
601 
602    Synopsis:
603    #include <petscmat.h>
604    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
605 
606    Collective on MPI_Comm
607 
608    Input Parameters:
609 +  comm - the communicator that will share the eventually allocated matrix
610 .  nrows - the number of LOCAL rows in the matrix
611 -  ncols - the number of LOCAL columns in the matrix
612 
613    Output Parameters:
614 +  dnz - the array that will be passed to the matrix preallocation routines
615 -  ozn - the other array passed to the matrix preallocation routines
616 
617    Level: intermediate
618 
619    Notes:
620     See Users-Manual: ch_performance for more details.
621 
622    Do not malloc or free dnz and onz, that is handled internally by these routines
623 
624    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
625 
626    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
627 
628   Concepts: preallocation^Matrix
629 
630 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
631           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
632 M*/
633 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
634 { \
635   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
636   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
637   __start = 0; __end = __start;                                         \
638   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
639   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
640 
641 /*MC
642    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
643        inserted using a local number of the rows and columns
644 
645    Synopsis:
646    #include <petscmat.h>
647    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
648 
649    Not Collective
650 
651    Input Parameters:
652 +  map - the row mapping from local numbering to global numbering
653 .  nrows - the number of rows indicated
654 .  rows - the indices of the rows
655 .  cmap - the column mapping from local to global numbering
656 .  ncols - the number of columns in the matrix
657 .  cols - the columns indicated
658 .  dnz - the array that will be passed to the matrix preallocation routines
659 -  ozn - the other array passed to the matrix preallocation routines
660 
661    Level: intermediate
662 
663    Notes:
664     See Users-Manual: ch_performance for more details.
665 
666    Do not malloc or free dnz and onz, that is handled internally by these routines
667 
668   Concepts: preallocation^Matrix
669 
670 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
671           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
672 M*/
673 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
674 {\
675   PetscInt __l;\
676   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
677   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
678   for (__l=0;__l<nrows;__l++) {\
679     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
680   }\
681 }
682 
683 /*MC
684    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
685        inserted using a local number of the rows and columns
686 
687    Synopsis:
688    #include <petscmat.h>
689    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
690 
691    Not Collective
692 
693    Input Parameters:
694 +  map - the row mapping from local numbering to global numbering
695 .  nrows - the number of rows indicated
696 .  rows - the indices of the rows
697 .  cmap - the column mapping from local to global numbering
698 .  ncols - the number of columns in the matrix
699 .  cols - the columns indicated
700 .  dnz - the array that will be passed to the matrix preallocation routines
701 -  ozn - the other array passed to the matrix preallocation routines
702 
703    Level: intermediate
704 
705    Notes:
706     See Users-Manual: ch_performance for more details.
707 
708    Do not malloc or free dnz and onz, that is handled internally by these routines
709 
710   Concepts: preallocation^Matrix
711 
712 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
713           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
714 M*/
715 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
716 {\
717   PetscInt __l;\
718   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
719   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
720   for (__l=0;__l<nrows;__l++) {\
721     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
722   }\
723 }
724 
725 /*MC
726    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
727        inserted using a local number of the rows and columns
728 
729    Synopsis:
730    #include <petscmat.h>
731    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
732 
733    Not Collective
734 
735    Input Parameters:
736 +  map - the mapping between local numbering and global numbering
737 .  nrows - the number of rows indicated
738 .  rows - the indices of the rows
739 .  ncols - the number of columns in the matrix
740 .  cols - the columns indicated
741 .  dnz - the array that will be passed to the matrix preallocation routines
742 -  ozn - the other array passed to the matrix preallocation routines
743 
744    Level: intermediate
745 
746    Notes:
747     See Users-Manual: ch_performance for more details.
748 
749    Do not malloc or free dnz and onz that is handled internally by these routines
750 
751   Concepts: preallocation^Matrix
752 
753 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
754           MatPreallocateInitialize(),  MatPreallocateSetLocal()
755 M*/
756 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
757 {\
758   PetscInt __l;\
759   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
760   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
761   for (__l=0;__l<nrows;__l++) {\
762     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
763   }\
764 }
765 /*MC
766    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
767        inserted using a local number of the rows and columns
768 
769    Synopsis:
770    #include <petscmat.h>
771    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
772 
773    Not Collective
774 
775    Input Parameters:
776 +  row - the row
777 .  ncols - the number of columns in the matrix
778 -  cols - the columns indicated
779 
780    Output Parameters:
781 +  dnz - the array that will be passed to the matrix preallocation routines
782 -  ozn - the other array passed to the matrix preallocation routines
783 
784    Level: intermediate
785 
786    Notes:
787     See Users-Manual: ch_performance for more details.
788 
789    Do not malloc or free dnz and onz that is handled internally by these routines
790 
791    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
792 
793   Concepts: preallocation^Matrix
794 
795 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
796           MatPreallocateInitialize(), MatPreallocateSetLocal()
797 M*/
798 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
799 { PetscInt __i; \
800   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);\
801   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);\
802   for (__i=0; __i<nc; __i++) {\
803     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
804     else dnz[row - __rstart]++;\
805   }\
806 }
807 
808 /*MC
809    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
810        inserted using a local number of the rows and columns
811 
812    Synopsis:
813    #include <petscmat.h>
814    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
815 
816    Not Collective
817 
818    Input Parameters:
819 +  nrows - the number of rows indicated
820 .  rows - the indices of the rows
821 .  ncols - the number of columns in the matrix
822 .  cols - the columns indicated
823 .  dnz - the array that will be passed to the matrix preallocation routines
824 -  ozn - the other array passed to the matrix preallocation routines
825 
826    Level: intermediate
827 
828    Notes:
829     See Users-Manual: ch_performance for more details.
830 
831    Do not malloc or free dnz and onz that is handled internally by these routines
832 
833    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
834 
835   Concepts: preallocation^Matrix
836 
837 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
838           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
839 M*/
840 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
841 { PetscInt __i; \
842   for (__i=0; __i<nc; __i++) {\
843     if (cols[__i] >= __end) onz[row - __rstart]++; \
844     else if (cols[__i] >= row) dnz[row - __rstart]++;\
845   }\
846 }
847 
848 /*MC
849    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
850 
851    Synopsis:
852    #include <petscmat.h>
853    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
854 
855    Not Collective
856 
857    Input Parameters:
858 .  A - matrix
859 .  row - row where values exist (must be local to this process)
860 .  ncols - number of columns
861 .  cols - columns with nonzeros
862 .  dnz - the array that will be passed to the matrix preallocation routines
863 -  ozn - the other array passed to the matrix preallocation routines
864 
865    Level: intermediate
866 
867    Notes:
868     See Users-Manual: ch_performance for more details.
869 
870    Do not malloc or free dnz and onz that is handled internally by these routines
871 
872    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
873 
874   Concepts: preallocation^Matrix
875 
876 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
877           MatPreallocateSymmetricSetLocalBlock()
878 M*/
879 #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);}
880 
881 
882 /*MC
883    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
884        row in a matrix providing the data that one can use to correctly preallocate the matrix.
885 
886    Synopsis:
887    #include <petscmat.h>
888    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
889 
890    Collective on MPI_Comm
891 
892    Input Parameters:
893 +  dnz - the array that was be passed to the matrix preallocation routines
894 -  ozn - the other array passed to the matrix preallocation routines
895 
896    Level: intermediate
897 
898    Notes:
899     See Users-Manual: ch_performance for more details.
900 
901    Do not malloc or free dnz and onz that is handled internally by these routines
902 
903    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
904 
905   Concepts: preallocation^Matrix
906 
907 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
908           MatPreallocateSymmetricSetLocalBlock()
909 M*/
910 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
911 
912 /* Routines unique to particular data structures */
913 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
914 
915 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
916 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
917 
918 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
919 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
920 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
921 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
922 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
923 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
924 
925 #define MAT_SKIP_ALLOCATION -4
926 
927 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
928 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
929 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
930 
931 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
932 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
933 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
934 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
935 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
936 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
937 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
938 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
939 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
940 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
941 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
942 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
943 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
944 
945 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
946 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
947 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
948 
949 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
950 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
951 
952 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
953 
954 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
955 /*
956   These routines are not usually accessed directly, rather solving is
957   done through the KSP and PC interfaces.
958 */
959 
960 /*J
961     MatOrderingType - String with the name of a PETSc matrix ordering
962 
963    Level: beginner
964 
965 .seealso: MatGetOrdering()
966 J*/
967 typedef const char* MatOrderingType;
968 #define MATORDERINGNATURAL     "natural"
969 #define MATORDERINGND          "nd"
970 #define MATORDERING1WD         "1wd"
971 #define MATORDERINGRCM         "rcm"
972 #define MATORDERINGQMD         "qmd"
973 #define MATORDERINGROWLENGTH   "rowlength"
974 #define MATORDERINGWBM         "wbm"
975 #define MATORDERINGSPECTRAL    "spectral"
976 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
977 
978 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
979 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
980 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
981 PETSC_EXTERN PetscFunctionList MatOrderingList;
982 
983 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
984 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
985 
986 /*S
987     MatFactorShiftType - Numeric Shift.
988 
989    Level: beginner
990 
991 S*/
992 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
993 PETSC_EXTERN const char *const MatFactorShiftTypes[];
994 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
995 
996 /*S
997     MatFactorError - indicates what type of error in matrix factor
998 
999     Level: beginner
1000 
1001     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1002 S*/
1003 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1004 
1005 /*S
1006    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1007 
1008    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1009 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1010 
1011    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1012 
1013       You can use MatFactorInfoInitialize() to set default values.
1014 
1015    Level: developer
1016 
1017 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1018           MatFactorInfoInitialize()
1019 
1020 S*/
1021 typedef struct {
1022   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1023   PetscReal     usedt;
1024   PetscReal     dt;             /* drop tolerance */
1025   PetscReal     dtcol;          /* tolerance for pivoting */
1026   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1027   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1028   PetscReal     levels;         /* ICC/ILU(levels) */
1029   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1030                                    factorization may be faster if do not pivot */
1031   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1032   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1033   PetscReal     shiftamount;     /* how large the shift is */
1034 } MatFactorInfo;
1035 
1036 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1037 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1038 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1039 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1040 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1041 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1042 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1043 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1044 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1045 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1046 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1047 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1048 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1049 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1050 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1051 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1052 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1053 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1054 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1055 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1056 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1057 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1058 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1059 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1060 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1061 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1062 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1063 
1064 /*E
1065     MatSORType - What type of (S)SOR to perform
1066 
1067     Level: beginner
1068 
1069    May be bitwise ORd together
1070 
1071    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1072 
1073    MatSORType may be bitwise ORd together, so do not change the numbers
1074 
1075 .seealso: MatSOR()
1076 E*/
1077 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1078               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1079               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1080               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1081 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1082 
1083 /*
1084     These routines are for efficiently computing Jacobians via finite differences.
1085 */
1086 
1087 /*S
1088      MatColoring - Object for managing the coloring of matrices.
1089 
1090    Level: beginner
1091 
1092   Concepts: matrix, coloring
1093 
1094 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1095 S*/
1096 typedef struct _p_MatColoring* MatColoring;
1097 /*J
1098     MatColoringType - String with the name of a PETSc matrix coloring
1099 
1100    Level: beginner
1101 
1102 .seealso: MatColoringSetType(), MatColoring
1103 J*/
1104 
1105 typedef const  char*           MatColoringType;
1106 #define MATCOLORINGJP      "jp"
1107 #define MATCOLORINGPOWER   "power"
1108 #define MATCOLORINGNATURAL "natural"
1109 #define MATCOLORINGSL      "sl"
1110 #define MATCOLORINGLF      "lf"
1111 #define MATCOLORINGID      "id"
1112 #define MATCOLORINGGREEDY  "greedy"
1113 
1114 /*E
1115    MatColoringWeightType - Type of weight scheme
1116 
1117     Not Collective
1118 
1119 +   MAT_COLORING_RANDOM  - Random weights
1120 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1121 -   MAT_COLORING_LF      - Last-first weighting.
1122 
1123     Level: intermediate
1124 
1125    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1126 
1127 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1128 E*/
1129 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1130 
1131 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1132 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1133 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1134 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1135 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1136 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1137 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1138 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1139 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1140 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1141 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1142 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1143 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1144 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1145 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1146 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1147 
1148 /*S
1149      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1150         and coloring
1151 
1152    Level: beginner
1153 
1154   Concepts: coloring, sparse Jacobian, finite differences
1155 
1156 .seealso:  MatFDColoringCreate()
1157 S*/
1158 typedef struct _p_MatFDColoring* MatFDColoring;
1159 
1160 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1161 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1162 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1163 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1164 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1165 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1166 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1167 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1168 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1169 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1170 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1171 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1172 
1173 
1174 /*S
1175      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1176 
1177    Level: beginner
1178 
1179   Concepts: coloring, sparse matrix product
1180 
1181 .seealso:  MatTransposeColoringCreate()
1182 S*/
1183 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1184 
1185 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1186 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1187 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1188 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1189 
1190 /*
1191     These routines are for partitioning matrices: currently used only
1192   for adjacency matrix, MatCreateMPIAdj().
1193 */
1194 
1195 /*S
1196      MatPartitioning - Object for managing the partitioning of a matrix or graph
1197 
1198    Level: beginner
1199 
1200   Concepts: partitioning
1201 
1202 .seealso:  MatPartitioningCreate(), MatPartitioningType
1203 S*/
1204 typedef struct _p_MatPartitioning* MatPartitioning;
1205 
1206 /*J
1207     MatPartitioningType - String with the name of a PETSc matrix partitioning
1208 
1209    Level: beginner
1210 dm
1211 .seealso: MatPartitioningCreate(), MatPartitioning
1212 J*/
1213 typedef const char* MatPartitioningType;
1214 #define MATPARTITIONINGCURRENT  "current"
1215 #define MATPARTITIONINGAVERAGE   "average"
1216 #define MATPARTITIONINGSQUARE   "square"
1217 #define MATPARTITIONINGPARMETIS "parmetis"
1218 #define MATPARTITIONINGCHACO    "chaco"
1219 #define MATPARTITIONINGPARTY    "party"
1220 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1221 #define MATPARTITIONINGHIERARCH  "hierarch"
1222 
1223 
1224 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1225 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1226 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1227 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1228 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1229 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1230 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1231 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1232 
1233 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1234 
1235 
1236 
1237 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1238 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1239 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1240 
1241 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1242 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1243 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1244 
1245 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1246 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1247 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1248 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1249 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1250 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1251 
1252 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1253 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1254 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1255 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1256 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1257 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1258 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1259 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1260 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1261 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1262 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1263 
1264 #define MP_PARTY_OPT "opt"
1265 #define MP_PARTY_LIN "lin"
1266 #define MP_PARTY_SCA "sca"
1267 #define MP_PARTY_RAN "ran"
1268 #define MP_PARTY_GBF "gbf"
1269 #define MP_PARTY_GCF "gcf"
1270 #define MP_PARTY_BUB "bub"
1271 #define MP_PARTY_DEF "def"
1272 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1273 #define MP_PARTY_HELPFUL_SETS "hs"
1274 #define MP_PARTY_KERNIGHAN_LIN "kl"
1275 #define MP_PARTY_NONE "no"
1276 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1277 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1278 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1279 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1280 
1281 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1282 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1283 
1284 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1286 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1287 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1288 
1289 /*
1290  * hierarchical partitioning
1291  */
1292 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1293 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1294 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1295 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1296 
1297 /*
1298     These routines are for coarsening matrices:
1299 */
1300 
1301 /*S
1302      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1303 
1304    Level: beginner
1305 
1306   Concepts: coarsen
1307 
1308 .seealso:  MatCoarsenCreate), MatCoarsenType
1309 S*/
1310 typedef struct _p_MatCoarsen* MatCoarsen;
1311 
1312 /*J
1313     MatCoarsenType - String with the name of a PETSc matrix coarsen
1314 
1315    Level: beginner
1316 
1317 .seealso: MatCoarsenCreate(), MatCoarsen
1318 J*/
1319 typedef const char* MatCoarsenType;
1320 #define MATCOARSENMIS  "mis"
1321 #define MATCOARSENHEM  "hem"
1322 
1323 /* linked list for aggregates */
1324 typedef struct _PetscCDIntNd{
1325   struct _PetscCDIntNd *next;
1326   PetscInt             gid;
1327 }PetscCDIntNd;
1328 
1329 /* only used by node pool */
1330 typedef struct _PetscCDArrNd{
1331   struct _PetscCDArrNd *next;
1332   struct _PetscCDIntNd *array;
1333 }PetscCDArrNd;
1334 
1335 typedef struct _PetscCoarsenData{
1336   PetscCDArrNd pool_list;  /* node pool */
1337   PetscCDIntNd *new_node;
1338   PetscInt     new_left;
1339   PetscInt     chk_sz;
1340   PetscCDIntNd *extra_nodes;
1341   PetscCDIntNd **array;  /* Array of lists */
1342   PetscInt     size;
1343   Mat          mat;  /* cache a Mat for communication data */
1344 }PetscCoarsenData;
1345 
1346 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1347 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1348 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1349 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1350 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1351 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1352 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1353 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1354 
1355 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1356 
1357 
1358 
1359 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1360 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1361 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1362 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
1363 
1364 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1365 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1366 
1367 /*
1368     If you add entries here you must also add them to petsc/finclude/petscmat.h
1369 */
1370 typedef enum { MATOP_SET_VALUES=0,
1371                MATOP_GET_ROW=1,
1372                MATOP_RESTORE_ROW=2,
1373                MATOP_MULT=3,
1374                MATOP_MULT_ADD=4,
1375                MATOP_MULT_TRANSPOSE=5,
1376                MATOP_MULT_TRANSPOSE_ADD=6,
1377                MATOP_SOLVE=7,
1378                MATOP_SOLVE_ADD=8,
1379                MATOP_SOLVE_TRANSPOSE=9,
1380                MATOP_SOLVE_TRANSPOSE_ADD=10,
1381                MATOP_LUFACTOR=11,
1382                MATOP_CHOLESKYFACTOR=12,
1383                MATOP_SOR=13,
1384                MATOP_TRANSPOSE=14,
1385                MATOP_GETINFO=15,
1386                MATOP_EQUAL=16,
1387                MATOP_GET_DIAGONAL=17,
1388                MATOP_DIAGONAL_SCALE=18,
1389                MATOP_NORM=19,
1390                MATOP_ASSEMBLY_BEGIN=20,
1391                MATOP_ASSEMBLY_END=21,
1392                MATOP_SET_OPTION=22,
1393                MATOP_ZERO_ENTRIES=23,
1394                MATOP_ZERO_ROWS=24,
1395                MATOP_LUFACTOR_SYMBOLIC=25,
1396                MATOP_LUFACTOR_NUMERIC=26,
1397                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1398                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1399                MATOP_SETUP_PREALLOCATION=29,
1400                MATOP_ILUFACTOR_SYMBOLIC=30,
1401                MATOP_ICCFACTOR_SYMBOLIC=31,
1402                /* MATOP_PLACEHOLDER_32=32, */
1403                /* MATOP_PLACEHOLDER_33=33, */
1404                MATOP_DUPLICATE=34,
1405                MATOP_FORWARD_SOLVE=35,
1406                MATOP_BACKWARD_SOLVE=36,
1407                MATOP_ILUFACTOR=37,
1408                MATOP_ICCFACTOR=38,
1409                MATOP_AXPY=39,
1410                MATOP_GET_SUBMATRICES=40,
1411                MATOP_INCREASE_OVERLAP=41,
1412                MATOP_GET_VALUES=42,
1413                MATOP_COPY=43,
1414                MATOP_GET_ROW_MAX=44,
1415                MATOP_SCALE=45,
1416                MATOP_SHIFT=46,
1417                MATOP_DIAGONAL_SET=47,
1418                MATOP_ZERO_ROWS_COLUMNS=48,
1419                MATOP_SET_RANDOM=49,
1420                MATOP_GET_ROW_IJ=50,
1421                MATOP_RESTORE_ROW_IJ=51,
1422                MATOP_GET_COLUMN_IJ=52,
1423                MATOP_RESTORE_COLUMN_IJ=53,
1424                MATOP_FDCOLORING_CREATE=54,
1425                MATOP_COLORING_PATCH=55,
1426                MATOP_SET_UNFACTORED=56,
1427                MATOP_PERMUTE=57,
1428                MATOP_SET_VALUES_BLOCKED=58,
1429                MATOP_GET_SUBMATRIX=59,
1430                MATOP_DESTROY=60,
1431                MATOP_VIEW=61,
1432                MATOP_CONVERT_FROM=62,
1433                MATOP_MATMAT_MULT=63,
1434                MATOP_MATMAT_MULT_SYMBOLIC=64,
1435                MATOP_MATMAT_MULT_NUMERIC=65,
1436                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1437                MATOP_SET_VALUES_LOCAL=67,
1438                MATOP_ZERO_ROWS_LOCAL=68,
1439                MATOP_GET_ROW_MAX_ABS=69,
1440                MATOP_GET_ROW_MIN_ABS=70,
1441                MATOP_CONVERT=71,
1442                MATOP_SET_COLORING=72,
1443                /* MATOP_PLACEHOLDER_73=73, */
1444                MATOP_SET_VALUES_ADIFOR=74,
1445                MATOP_FD_COLORING_APPLY=75,
1446                MATOP_SET_FROM_OPTIONS=76,
1447                MATOP_MULT_CONSTRAINED=77,
1448                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1449                MATOP_FIND_ZERO_DIAGONALS=79,
1450                MATOP_MULT_MULTIPLE=80,
1451                MATOP_SOLVE_MULTIPLE=81,
1452                MATOP_GET_INERTIA=82,
1453                MATOP_LOAD=83,
1454                MATOP_IS_SYMMETRIC=84,
1455                MATOP_IS_HERMITIAN=85,
1456                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1457                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1458                MATOP_GET_VECS=88,
1459                MATOP_MAT_MULT=89,
1460                MATOP_MAT_MULT_SYMBOLIC=90,
1461                MATOP_MAT_MULT_NUMERIC=91,
1462                MATOP_PTAP=92,
1463                MATOP_PTAP_SYMBOLIC=93,
1464                MATOP_PTAP_NUMERIC=94,
1465                MATOP_MAT_TRANSPOSE_MULT=95,
1466                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1467                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1468                /* MATOP_PLACEHOLDER_98=98, */
1469                /* MATOP_PLACEHOLDER_99=99, */
1470                /* MATOP_PLACEHOLDER_100=100, */
1471                /* MATOP_PLACEHOLDER_101=101, */
1472                MATOP_CONJUGATE=102,
1473                /* MATOP_PLACEHOLDER_103=103, */
1474                MATOP_SET_VALUES_ROW=104,
1475                MATOP_REAL_PART=105,
1476                MATOP_IMAGINARY_PART=106,
1477                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1478                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1479                MATOP_MAT_SOLVE=109,
1480                MATOP_GET_REDUNDANT_MATRIX=110,
1481                MATOP_GET_ROW_MIN=111,
1482                MATOP_GET_COLUMN_VECTOR=112,
1483                MATOP_MISSING_DIAGONAL=113,
1484                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1485                MATOP_CREATE=115,
1486                MATOP_GET_GHOSTS=116,
1487                MATOP_GET_LOCAL_SUB_MATRIX=117,
1488                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1489                MATOP_MULT_DIAGONAL_BLOCK=119,
1490                MATOP_HERMITIAN_TRANSPOSE=120,
1491                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1492                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1493                MATOP_GET_MULTI_PROC_BLOCK=123,
1494                MATOP_FIND_NONZERO_ROWS=124,
1495                MATOP_GET_COLUMN_NORMS=125,
1496                MATOP_INVERT_BLOCK_DIAGONAL=126,
1497                /* MATOP_PLACEHOLDER_127=127, */
1498                MATOP_GET_SUB_MATRICES_PARALLE=128,
1499                MATOP_SET_VALUES_BATCH=129,
1500                MATOP_TRANSPOSE_MAT_MULT=130,
1501                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1502                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1503                MATOP_TRANSPOSE_COLORING_CREAT=133,
1504                MATOP_TRANS_COLORING_APPLY_SPT=134,
1505                MATOP_TRANS_COLORING_APPLY_DEN=135,
1506                MATOP_RART=136,
1507                MATOP_RART_SYMBOLIC=137,
1508                MATOP_RART_NUMERIC=138,
1509                MATOP_SET_BLOCK_SIZES=139,
1510                MATOP_AYPX=140,
1511                MATOP_RESIDUAL=141,
1512                MATOP_FDCOLORING_SETUP=142,
1513                MATOP_MPICONCATENATESEQ=144
1514              } MatOperation;
1515 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1516 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1517 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1518 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1519 
1520 /*
1521    Codes for matrices stored on disk. By default they are
1522    stored in a universal format. By changing the format with
1523    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1524    be stored in a way natural for the matrix, for example dense matrices
1525    would be stored as dense. Matrices stored this way may only be
1526    read into matrices of the same type.
1527 */
1528 #define MATRIX_BINARY_FORMAT_DENSE -1
1529 
1530 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1531 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1532 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1533 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1534 
1535 /*S
1536      MatNullSpace - Object that removes a null space from a vector, i.e.
1537          orthogonalizes the vector to a subsapce
1538 
1539    Level: advanced
1540 
1541   Concepts: matrix; linear operator, null space
1542 
1543   Users manual sections:
1544 .   sec_singular
1545 
1546 .seealso:  MatNullSpaceCreate()
1547 S*/
1548 typedef struct _p_MatNullSpace* MatNullSpace;
1549 
1550 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1551 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1552 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1553 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1554 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1555 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1556 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1557 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1558 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1559 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1560 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1561 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1562 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1563 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1564 
1565 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1566 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1567 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1568 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1569 
1570 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1571 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1572 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1573 
1574 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1575 
1576 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1577 
1578 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1579 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1580 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1581 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1582 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1583 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1584 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1585 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1586 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1587 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1588 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1589 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1590 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1591 
1592 /*S
1593     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1594               Jacobian vector products
1595 
1596     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1597 
1598            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1599 
1600     Level: developer
1601 
1602 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1603 S*/
1604 typedef struct _p_MatMFFD* MatMFFD;
1605 
1606 /*J
1607     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1608 
1609    Level: beginner
1610 
1611 .seealso: MatMFFDSetType(), MatMFFDRegister()
1612 J*/
1613 typedef const char* MatMFFDType;
1614 #define MATMFFD_DS  "ds"
1615 #define MATMFFD_WP  "wp"
1616 
1617 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1618 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1619 
1620 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1621 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1622 
1623 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1624 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1625 
1626 /*
1627    PETSc interface to MUMPS
1628 */
1629 #ifdef PETSC_HAVE_MUMPS
1630 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1631 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1632 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1633 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1634 
1635 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1636 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1637 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1638 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1639 #endif
1640 
1641 /*
1642    PETSc interface to Mkl_Pardiso
1643 */
1644 #ifdef PETSC_HAVE_MKL_PARDISO
1645 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1646 #endif
1647 
1648 /*
1649    PETSc interface to Mkl_CPardiso
1650 */
1651 #ifdef PETSC_HAVE_MKL_CPARDISO
1652 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1653 #endif
1654 
1655 /*
1656    PETSc interface to SUPERLU
1657 */
1658 #ifdef PETSC_HAVE_SUPERLU
1659 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1660 #endif
1661 
1662 #ifdef PETSC_HAVE_CUDA
1663 /*E
1664     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1665     matrices.
1666 
1667     Not Collective
1668 
1669 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1670 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1671 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1672 
1673     Level: intermediate
1674 
1675    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1676 
1677 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1678 E*/
1679 
1680 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1681 
1682 /* these will be strings associated with enumerated type defined above */
1683 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1684 
1685 /*E
1686     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1687     matrices whose operation should use a particular storage format.
1688 
1689     Not Collective
1690 
1691 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1692 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1693 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1694 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1695 
1696     Level: intermediate
1697 
1698 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1699 E*/
1700 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1701 
1702 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1703 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1704 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1705 #endif
1706 
1707 #if defined(PETSC_HAVE_CUSP)
1708 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1709 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1710 
1711 /*E
1712     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1713     matrices.
1714 
1715     Not Collective
1716 
1717 +   MAT_CUSP_CSR - Compressed Sparse Row
1718 .   MAT_CUSP_DIA - Diagonal
1719 -   MAT_CUSP_ELL - Ellpack
1720 
1721     Level: intermediate
1722 
1723    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1724 
1725 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1726 E*/
1727 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1728 
1729 /* these will be strings associated with enumerated type defined above */
1730 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1731 
1732 /*E
1733     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1734     matrices whose operation should use a particular storage format.
1735 
1736     Not Collective
1737 
1738 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1739 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1740 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1741 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1742 
1743     Level: intermediate
1744 
1745    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1746 
1747 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1748 E*/
1749 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1750 
1751 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1752 #endif
1753 
1754 #if defined(PETSC_HAVE_VIENNACL)
1755 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1756 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1757 #endif
1758 
1759 /*
1760    PETSc interface to FFTW
1761 */
1762 #if defined(PETSC_HAVE_FFTW)
1763 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1764 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1765 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1766 #endif
1767 
1768 /*
1769    PETSc interface to ELEMENTAL
1770 */
1771 #if defined(PETSC_HAVE_ELEMENTAL)
1772 #if defined(PETSC_USE_COMPLEX)
1773 typedef El::Complex<PetscReal> PetscElemScalar;
1774 #else
1775 typedef PetscScalar PetscElemScalar;
1776 #endif
1777 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1778 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1779 #endif
1780 
1781 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1782 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1783 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1784 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1785 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1786 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1787 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1788 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1789 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1790 
1791 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1792 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1793 
1794 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1795 
1796 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1797 
1798 #endif
1799