xref: /petsc/include/petscmat.h (revision e0fe450639229424d8a6abf0a9561cf44a362601)
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, MatSolverType, 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 MATAIJCUSPARSE     "aijcusparse"
40 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
41 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
42 #define MATAIJVIENNACL     "aijviennacl"
43 #define MATSEQAIJVIENNACL  "seqaijviennacl"
44 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
45 #define MATAIJPERM         "aijperm"
46 #define MATSEQAIJPERM      "seqaijperm"
47 #define MATMPIAIJPERM      "mpiaijperm"
48 #define MATAIJSELL         "aijsell"
49 #define MATSEQAIJSELL      "seqaijsell"
50 #define MATMPIAIJSELL      "mpiaijsell"
51 #define MATAIJMKL          "aijmkl"
52 #define MATSEQAIJMKL       "seqaijmkl"
53 #define MATMPIAIJMKL       "mpiaijmkl"
54 #define MATBAIJMKL         "baijmkl"
55 #define MATSEQBAIJMKL      "seqbaijmkl"
56 #define MATMPIBAIJMKL      "mpibaijmkl"
57 #define MATSHELL           "shell"
58 #define MATDENSE           "dense"
59 #define MATSEQDENSE        "seqdense"
60 #define MATMPIDENSE        "mpidense"
61 #define MATELEMENTAL       "elemental"
62 #define MATBAIJ            "baij"
63 #define MATSEQBAIJ         "seqbaij"
64 #define MATMPIBAIJ         "mpibaij"
65 #define MATMPIADJ          "mpiadj"
66 #define MATSBAIJ           "sbaij"
67 #define MATSEQSBAIJ        "seqsbaij"
68 #define MATMPISBAIJ        "mpisbaij"
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 MATHYPRE           "hypre"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 #define MATPREALLOCATOR    "preallocator"
90 #define MATSELL            "sell"
91 #define MATSEQSELL         "seqsell"
92 #define MATMPISELL         "mpisell"
93 #define MATDUMMY           "dummy"
94 #define MATLMVM            "lmvm"
95 #define MATLMVMDFP         "lmvmdfp"
96 #define MATLMVMBFGS        "lmvmbfgs"
97 #define MATLMVMSR1         "lmvmsr1"
98 #define MATLMVMBRDN        "lmvmbrdn"
99 #define MATLMVMBADBRDN     "lmvmbadbrdn"
100 #define MATLMVMSYMBRDN     "lmvmsymbrdn"
101 #define MATLMVMSYMBADBRDN  "lmvmsymbadbrdn"
102 #define MATLMVMDIAGBRDN    "lmvmdiagbrdn"
103 
104 /*J
105     MatSolverType - String with the name of a PETSc matrix solver type.
106 
107     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
108 
109    Level: beginner
110 
111 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
112 J*/
113 typedef const char* MatSolverType;
114 #define MATSOLVERSUPERLU          "superlu"
115 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
116 #define MATSOLVERSTRUMPACK        "strumpack"
117 #define MATSOLVERUMFPACK          "umfpack"
118 #define MATSOLVERCHOLMOD          "cholmod"
119 #define MATSOLVERKLU              "klu"
120 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
121 #define MATSOLVERELEMENTAL        "elemental"
122 #define MATSOLVERESSL             "essl"
123 #define MATSOLVERLUSOL            "lusol"
124 #define MATSOLVERMUMPS            "mumps"
125 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
126 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
127 #define MATSOLVERPASTIX           "pastix"
128 #define MATSOLVERMATLAB           "matlab"
129 #define MATSOLVERPETSC            "petsc"
130 #define MATSOLVERBAS              "bas"
131 #define MATSOLVERCUSPARSE         "cusparse"
132 
133 /*E
134     MatFactorType - indicates what type of factorization is requested
135 
136     Level: beginner
137 
138    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
139 
140 .seealso: MatSolverType, MatGetFactor()
141 E*/
142 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
143 PETSC_EXTERN const char *const MatFactorTypes[];
144 
145 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
146 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
147 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
148 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
149 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
150 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
151 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
152 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED("Use MatSolverType");
153 PETSC_DEPRECATED("Use MatSolverTypeRegister()") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscErrorCode(*f)(Mat,MatFactorType,Mat*))
154 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
155 PETSC_DEPRECATED("Use MatSolverTypeGet()") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageGet(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscBool *foundmtype,PetscBool *foundstype,PetscErrorCode(**f)(Mat,MatFactorType,Mat*))
156 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
157 
158 /* Logging support */
159 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
160 PETSC_EXTERN PetscClassId MAT_CLASSID;
161 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
162 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
163 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
164 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
165 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
166 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
167 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
168 
169 /*E
170     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
171      are to be reused to store the new matrix values.
172 
173 $  MAT_INITIAL_MATRIX - create a new matrix
174 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
175 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
176 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
177 
178     Level: beginner
179 
180    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
181 
182 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
183 E*/
184 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
185 
186 /*E
187     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
188      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
189 
190     Level: beginner
191 
192 .seealso: MatGetSeqNonzerostructure()
193 E*/
194 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
195 
196 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
197 
198 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
199 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
200 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
201 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
202 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
203 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
204 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
205 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
206 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
207 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
208 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
209 
210 PETSC_EXTERN PetscFunctionList MatList;
211 PETSC_EXTERN PetscFunctionList MatColoringList;
212 PETSC_EXTERN PetscFunctionList MatPartitioningList;
213 
214 /*E
215     MatStructure - Indicates if two matrices have the same nonzero structure
216 
217     Level: beginner
218 
219    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
220 
221 .seealso: MatCopy(), MatAXPY()
222 E*/
223 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
224 
225 #if defined PETSC_HAVE_MKL_SPARSE
226 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A);
228 #endif
229 
230 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
233 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
234 
235 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
236 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
237 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
238 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
240 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
241 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
242 
243 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
244 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
246 
247 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
248 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
249 
250 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
251 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
252 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
253 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
254 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
255 
256 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
257 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
258 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
259 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
260 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
261 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
262 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
263 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
264 
265 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
266 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
267 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
268 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
269 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
270 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
271 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
272 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
273 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
274 
275 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
276 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
277 
278 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
279 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
280 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
281 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
282 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
283 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
284 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
285 
286 #if defined(PETSC_HAVE_HYPRE)
287 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
288 #endif
289 
290 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
291 
292 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
293 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
294 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
295 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
296 
297 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
298 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
299 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
300 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
301 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
302 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
303 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
304 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
305 
306 /* ------------------------------------------------------------*/
307 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
308 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
309 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
310 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
311 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
312 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
313 
314 /*S
315      MatStencil - Data structure (C struct) for storing information about a single row or
316         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
317 
318    The i,j, and k represent the logical coordinates over the entire grid (for 2 and 1 dimensional problems the k and j entries are ignored).
319    The c represents the the degrees of freedom at each grid point (the dof argument to DMDASetDOF()). If dof is 1 then this entry is ignored.
320 
321    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
322 
323    Fortran usage is different, see MatSetValuesStencil() for details.
324 
325    Level: beginner
326 
327   Concepts: matrix; linear operator
328 
329 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
330 S*/
331 typedef struct {
332   PetscInt k,j,i,c;
333 } MatStencil;
334 
335 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
336 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
337 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
338 
339 /*E
340     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
341      to continue to add or insert values to it
342 
343     Level: beginner
344 
345 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
346 E*/
347 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
348 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
349 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
350 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
351 
352 
353 
354 /*E
355     MatOption - Options that may be set for a matrix and its behavior or storage
356 
357     Level: beginner
358 
359    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
360    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
361 
362    Developer Notes:
363     Entries that are negative need not be called collectively by all processes.
364 
365 .seealso: MatSetOption()
366 E*/
367 typedef enum {MAT_OPTION_MIN = -3,
368               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
369               MAT_ROW_ORIENTED = -1,
370               MAT_SYMMETRIC = 1,
371               MAT_STRUCTURALLY_SYMMETRIC = 2,
372               MAT_NEW_DIAGONALS = 3,
373               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
374               MAT_USE_HASH_TABLE = 5,
375               MAT_KEEP_NONZERO_PATTERN = 6,
376               MAT_IGNORE_ZERO_ENTRIES = 7,
377               MAT_USE_INODES = 8,
378               MAT_HERMITIAN = 9,
379               MAT_SYMMETRY_ETERNAL = 10,
380               MAT_NEW_NONZERO_LOCATION_ERR = 11,
381               MAT_IGNORE_LOWER_TRIANGULAR = 12,
382               MAT_ERROR_LOWER_TRIANGULAR = 13,
383               MAT_GETROW_UPPERTRIANGULAR = 14,
384               MAT_SPD = 15,
385               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
386               MAT_NO_OFF_PROC_ENTRIES = 17,
387               MAT_NEW_NONZERO_LOCATIONS = 18,
388               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
389               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
390               MAT_SUBMAT_SINGLEIS = 21,
391               MAT_STRUCTURE_ONLY = 22,
392               MAT_REUSE = 23,
393               MAT_OPTION_MAX = 24} MatOption;
394 
395 PETSC_EXTERN const char *const *MatOptions;
396 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
397 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
398 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
399 
400 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
401 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
402 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
403 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
404 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
405 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
406 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
407 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
408 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
409 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
410 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
411 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
412 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
413 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
414 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
415 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
416 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
417 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
418 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
419 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
420 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
421 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
422 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
423 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
424 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
425 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
426 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
427 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
428 
429 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar *[]);
430 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar *[]);
431 
432 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
433 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
434 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
435 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
436 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
437 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
438 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
439 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
440 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
441 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
442 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
443 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
444 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
445 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
446 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
447 
448 /*E
449     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
450   its numerical values copied over or just its nonzero structure.
451 
452     Level: beginner
453 
454    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
455 
456 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
457 $                               with zeros for the numerical values.
458 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
459 $                               and with the same numerical values.
460 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
461 $                               and does not copy it, using zeros for the numerical values. The parent and
462 $                               child matrices will share their index (i and j) arrays, and you cannot
463 $                               insert new nonzero entries into either matrix.
464 
465 Notes:
466     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
467 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
468 
469 .seealso: MatDuplicate()
470 E*/
471 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
472 
473 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
474 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
475 
476 
477 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
478 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
479 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
480 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
481 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
482 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
483 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
484 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
485 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
486 
487 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
488 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
489 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
490 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
491 
492 /*S
493      MatInfo - Context of matrix information, used with MatGetInfo()
494 
495    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
496 
497    Level: intermediate
498 
499   Concepts: matrix^nonzero information
500 
501 .seealso:  MatGetInfo(), MatInfoType
502 S*/
503 typedef struct {
504   PetscLogDouble block_size;                         /* block size */
505   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
506   PetscLogDouble memory;                             /* memory allocated */
507   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
508   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
509   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
510   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
511 } MatInfo;
512 
513 /*E
514     MatInfoType - Indicates if you want information about the local part of the matrix,
515      the entire parallel matrix or the maximum over all the local parts.
516 
517     Level: beginner
518 
519    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
520 
521 .seealso: MatGetInfo(), MatInfo
522 E*/
523 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
524 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
525 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
526 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
527 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
528 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
529 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
530 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
531 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
532 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
533 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
534 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
535 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
536 
537 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
538 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
539 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
540 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
541 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
542 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
543 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
544 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
545 
546 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
547 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
548 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
549 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
550 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
552 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
555 
556 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
557 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
558 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
559 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
560 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
561 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
562 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
563 
564 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
565 PETSC_DEPRECATED("Use MatCreateSubMatrices()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatrices(mat,n,irow,icol,scall,submat);}
566 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
567 PETSC_DEPRECATED("Use MatCreateSubMatricesMPI()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatricesMPI(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatricesMPI(mat,n,irow,icol,scall,submat);}
568 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
569 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
570 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
571 PETSC_DEPRECATED("Use MatCreateSubMatrix()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
572 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
573 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
574 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
575 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
576 
577 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
578 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
579 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
580 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
581 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
582 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
583 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
584 
585 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
586 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
587 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
588 
589 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
590 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
591 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
592 
593 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
594 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
595 
596 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
597 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
598 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
599 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
600 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
601 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
602 
603 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
604 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
605 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
606 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
607 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
608 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
609 
610 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
611 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
612 
613 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
614 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
615 
616 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
617 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
618 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
619 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
620 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
621 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
622 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
623 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
624 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
625 
626 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
627 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
628 
629 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
630 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
631 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
632 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
633 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
634 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
635 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
636 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
637 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
638 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
639 
640 /*MC
641    MatSetValue - Set a single entry into a matrix.
642 
643    Not collective
644 
645    Synopsis:
646      #include <petscmat.h>
647      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
648 
649    Input Parameters:
650 +  m - the matrix
651 .  row - the row location of the entry
652 .  col - the column location of the entry
653 .  value - the value to insert
654 -  mode - either INSERT_VALUES or ADD_VALUES
655 
656    Notes:
657    For efficiency one should use MatSetValues() and set several or many
658    values simultaneously if possible.
659 
660    Level: beginner
661 
662 .seealso: MatSetValues(), MatSetValueLocal()
663 M*/
664 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
665 
666 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
667 
668 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
669 
670 /*MC
671    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
672        row in a matrix providing the data that one can use to correctly preallocate the matrix.
673 
674    Synopsis:
675    #include <petscmat.h>
676    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
677 
678    Collective on MPI_Comm
679 
680    Input Parameters:
681 +  comm - the communicator that will share the eventually allocated matrix
682 .  nrows - the number of LOCAL rows in the matrix
683 -  ncols - the number of LOCAL columns in the matrix
684 
685    Output Parameters:
686 +  dnz - the array that will be passed to the matrix preallocation routines
687 -  onz - the other array passed to the matrix preallocation routines
688 
689    Level: intermediate
690 
691    Notes:
692     See Users-Manual: ch_performance for more details.
693 
694    Do not malloc or free dnz and onz, that is handled internally by these routines
695 
696    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
697 
698    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
699 
700   Concepts: preallocation^Matrix
701 
702 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
703           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
704 M*/
705 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
706 { \
707   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
708   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
709   __start = 0; __end = __start;                                         \
710   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ncols;\
711   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
712 
713 /*MC
714    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
715        inserted using a local number of the rows and columns
716 
717    Synopsis:
718    #include <petscmat.h>
719    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
720 
721    Not Collective
722 
723    Input Parameters:
724 +  map - the row mapping from local numbering to global numbering
725 .  nrows - the number of rows indicated
726 .  rows - the indices of the rows
727 .  cmap - the column mapping from local to global numbering
728 .  ncols - the number of columns in the matrix
729 .  cols - the columns indicated
730 .  dnz - the array that will be passed to the matrix preallocation routines
731 -  onz - the other array passed to the matrix preallocation routines
732 
733    Level: intermediate
734 
735    Notes:
736     See Users-Manual: ch_performance for more details.
737 
738    Do not malloc or free dnz and onz, that is handled internally by these routines
739 
740   Concepts: preallocation^Matrix
741 
742 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
743           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
744 M*/
745 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
746 {\
747   PetscInt __l;\
748   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
749   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
750   for (__l=0;__l<nrows;__l++) {\
751     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
752   }\
753 }
754 
755 /*MC
756    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
757        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
758 
759    Synopsis:
760    #include <petscmat.h>
761    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
762 
763    Not Collective
764 
765    Input Parameters:
766 +  map - the row mapping from local numbering to global numbering
767 .  nrows - the number of rows indicated
768 .  rows - the indices of the rows (these values are mapped to the global values)
769 .  cmap - the column mapping from local to global numbering
770 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
771 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
772 .  dnz - the array that will be passed to the matrix preallocation routines
773 -  onz - the other array passed to the matrix preallocation routines
774 
775    Level: intermediate
776 
777    Notes:
778     See Users-Manual: ch_performance for more details.
779 
780    Do not malloc or free dnz and onz, that is handled internally by these routines
781 
782   Concepts: preallocation^Matrix
783 
784 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
785           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
786 M*/
787 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
788 {\
789   PetscInt __l;\
790   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
791   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
792   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
793   for (__l=0;__l<nrows;__l++) {\
794     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
795   }\
796 }
797 
798 /*MC
799    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
800        inserted using a local number of the rows and columns
801 
802    Synopsis:
803    #include <petscmat.h>
804    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
805 
806    Not Collective
807 
808    Input Parameters:
809 +  map - the row mapping from local numbering to global numbering
810 .  nrows - the number of rows indicated
811 .  rows - the indices of the rows
812 .  cmap - the column mapping from local to global numbering
813 .  ncols - the number of columns in the matrix
814 .  cols - the columns indicated
815 .  dnz - the array that will be passed to the matrix preallocation routines
816 -  onz - the other array passed to the matrix preallocation routines
817 
818    Level: intermediate
819 
820    Notes:
821     See Users-Manual: ch_performance for more details.
822 
823    Do not malloc or free dnz and onz, that is handled internally by these routines
824 
825   Concepts: preallocation^Matrix
826 
827 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
828           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
829 M*/
830 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
831 {\
832   PetscInt __l;\
833   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
834   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
835   for (__l=0;__l<nrows;__l++) {\
836     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
837   }\
838 }
839 
840 /*MC
841    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
842        inserted using a local number of the rows and columns
843 
844    Synopsis:
845    #include <petscmat.h>
846    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
847 
848    Not Collective
849 
850    Input Parameters:
851 +  map - the mapping between local numbering and global numbering
852 .  nrows - the number of rows indicated
853 .  rows - the indices of the rows
854 .  ncols - the number of columns in the matrix
855 .  cols - the columns indicated
856 .  dnz - the array that will be passed to the matrix preallocation routines
857 -  onz - the other array passed to the matrix preallocation routines
858 
859    Level: intermediate
860 
861    Notes:
862     See Users-Manual: ch_performance for more details.
863 
864    Do not malloc or free dnz and onz that is handled internally by these routines
865 
866   Concepts: preallocation^Matrix
867 
868 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
869           MatPreallocateInitialize(),  MatPreallocateSetLocal()
870 M*/
871 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
872 {\
873   PetscInt __l;\
874   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
875   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
876   for (__l=0;__l<nrows;__l++) {\
877     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
878   }\
879 }
880 /*MC
881    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
882        inserted using a local number of the rows and columns
883 
884    Synopsis:
885    #include <petscmat.h>
886    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
887 
888    Not Collective
889 
890    Input Parameters:
891 +  row - the row
892 .  ncols - the number of columns in the matrix
893 -  cols - the columns indicated
894 
895    Output Parameters:
896 +  dnz - the array that will be passed to the matrix preallocation routines
897 -  onz - the other array passed to the matrix preallocation routines
898 
899    Level: intermediate
900 
901    Notes:
902     See Users-Manual: ch_performance for more details.
903 
904    Do not malloc or free dnz and onz that is handled internally by these routines
905 
906    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
907 
908   Concepts: preallocation^Matrix
909 
910 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
911           MatPreallocateInitialize(), MatPreallocateSetLocal()
912 M*/
913 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
914 { PetscInt __i; \
915   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);\
916   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);\
917   for (__i=0; __i<nc; __i++) {\
918     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
919     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
920   }\
921 }
922 
923 /*MC
924    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
925        inserted using a local number of the rows and columns
926 
927    Synopsis:
928    #include <petscmat.h>
929    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
930 
931    Not Collective
932 
933    Input Parameters:
934 +  nrows - the number of rows indicated
935 .  rows - the indices of the rows
936 .  ncols - the number of columns in the matrix
937 .  cols - the columns indicated
938 .  dnz - the array that will be passed to the matrix preallocation routines
939 -  onz - the other array passed to the matrix preallocation routines
940 
941    Level: intermediate
942 
943    Notes:
944     See Users-Manual: ch_performance for more details.
945 
946    Do not malloc or free dnz and onz that is handled internally by these routines
947 
948    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
949 
950   Concepts: preallocation^Matrix
951 
952 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
953           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
954 M*/
955 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
956 { PetscInt __i; \
957   for (__i=0; __i<nc; __i++) {\
958     if (cols[__i] >= __end) onz[row - __rstart]++; \
959     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
960   }\
961 }
962 
963 /*MC
964    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
965 
966    Synopsis:
967    #include <petscmat.h>
968    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
969 
970    Not Collective
971 
972    Input Parameters:
973 .  A - matrix
974 .  row - row where values exist (must be local to this process)
975 .  ncols - number of columns
976 .  cols - columns with nonzeros
977 .  dnz - the array that will be passed to the matrix preallocation routines
978 -  onz - the other array passed to the matrix preallocation routines
979 
980    Level: intermediate
981 
982    Notes:
983     See Users-Manual: ch_performance for more details.
984 
985    Do not malloc or free dnz and onz that is handled internally by these routines
986 
987    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
988 
989   Concepts: preallocation^Matrix
990 
991 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
992           MatPreallocateSymmetricSetLocalBlock()
993 M*/
994 #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);}
995 
996 
997 /*MC
998    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
999        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1000 
1001    Synopsis:
1002    #include <petscmat.h>
1003    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1004 
1005    Collective on MPI_Comm
1006 
1007    Input Parameters:
1008 +  dnz - the array that was be passed to the matrix preallocation routines
1009 -  onz - the other array passed to the matrix preallocation routines
1010 
1011    Level: intermediate
1012 
1013    Notes:
1014     See Users-Manual: ch_performance for more details.
1015 
1016    Do not malloc or free dnz and onz that is handled internally by these routines
1017 
1018    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1019 
1020   Concepts: preallocation^Matrix
1021 
1022 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1023           MatPreallocateSymmetricSetLocalBlock()
1024 M*/
1025 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
1026 
1027 /* Routines unique to particular data structures */
1028 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1029 
1030 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1031 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1032 
1033 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1034 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1035 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1036 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1037 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1038 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1039 
1040 #define MAT_SKIP_ALLOCATION -4
1041 
1042 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1043 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1044 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1045 
1046 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1047 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1048 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1049 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1050 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1051 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1052 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1053 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1054 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1055 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1056 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1057 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1058 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1059 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1060 
1061 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1062 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1063 
1064 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1065 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1066 
1067 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1068 
1069 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1070 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1071 /*
1072   These routines are not usually accessed directly, rather solving is
1073   done through the KSP and PC interfaces.
1074 */
1075 
1076 /*J
1077     MatOrderingType - String with the name of a PETSc matrix ordering
1078 
1079    Level: beginner
1080 
1081 .seealso: MatGetOrdering()
1082 J*/
1083 typedef const char* MatOrderingType;
1084 #define MATORDERINGNATURAL     "natural"
1085 #define MATORDERINGND          "nd"
1086 #define MATORDERING1WD         "1wd"
1087 #define MATORDERINGRCM         "rcm"
1088 #define MATORDERINGQMD         "qmd"
1089 #define MATORDERINGROWLENGTH   "rowlength"
1090 #define MATORDERINGWBM         "wbm"
1091 #define MATORDERINGSPECTRAL    "spectral"
1092 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1093 
1094 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1095 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1096 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1097 PETSC_EXTERN PetscFunctionList MatOrderingList;
1098 
1099 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1100 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1101 
1102 /*S
1103     MatFactorShiftType - Numeric Shift.
1104 
1105    Level: beginner
1106 
1107 S*/
1108 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1109 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1110 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1111 
1112 /*S
1113     MatFactorError - indicates what type of error in matrix factor
1114 
1115     Level: beginner
1116 
1117     Developer Notes:
1118     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1119 
1120 .seealso: MatGetFactor()
1121 S*/
1122 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1123 
1124 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1125 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1126 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1127 
1128 /*S
1129    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1130 
1131    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1132 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1133 
1134    Notes:
1135     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1136 
1137       You can use MatFactorInfoInitialize() to set default values.
1138 
1139    Level: developer
1140 
1141 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1142           MatFactorInfoInitialize()
1143 
1144 S*/
1145 typedef struct {
1146   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1147   PetscReal     usedt;
1148   PetscReal     dt;             /* drop tolerance */
1149   PetscReal     dtcol;          /* tolerance for pivoting */
1150   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1151   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1152   PetscReal     levels;         /* ICC/ILU(levels) */
1153   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1154                                    factorization may be faster if do not pivot */
1155   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1156   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1157   PetscReal     shiftamount;     /* how large the shift is */
1158 } MatFactorInfo;
1159 
1160 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1161 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1162 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1163 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1164 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1165 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1166 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1167 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1168 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1169 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1170 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1171 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1172 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1173 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1174 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1175 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1176 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1177 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1178 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1179 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1180 
1181 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1182 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1183 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1184 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1185 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1186 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1187 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1188 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1189 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1190 
1191 /*E
1192     MatSORType - What type of (S)SOR to perform
1193 
1194     Level: beginner
1195 
1196    May be bitwise ORd together
1197 
1198    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1199 
1200    MatSORType may be bitwise ORd together, so do not change the numbers
1201 
1202 .seealso: MatSOR()
1203 E*/
1204 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1205               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1206               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1207               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1208 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1209 
1210 /*
1211     These routines are for efficiently computing Jacobians via finite differences.
1212 */
1213 
1214 /*S
1215      MatColoring - Object for managing the coloring of matrices.
1216 
1217    Level: beginner
1218 
1219   Concepts: matrix, coloring
1220 
1221 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1222 S*/
1223 typedef struct _p_MatColoring* MatColoring;
1224 /*J
1225     MatColoringType - String with the name of a PETSc matrix coloring
1226 
1227    Level: beginner
1228 
1229 .seealso: MatColoringSetType(), MatColoring
1230 J*/
1231 
1232 typedef const  char*           MatColoringType;
1233 #define MATCOLORINGJP      "jp"
1234 #define MATCOLORINGPOWER   "power"
1235 #define MATCOLORINGNATURAL "natural"
1236 #define MATCOLORINGSL      "sl"
1237 #define MATCOLORINGLF      "lf"
1238 #define MATCOLORINGID      "id"
1239 #define MATCOLORINGGREEDY  "greedy"
1240 
1241 /*E
1242    MatColoringWeightType - Type of weight scheme
1243 
1244     Not Collective
1245 
1246 +   MAT_COLORING_RANDOM  - Random weights
1247 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1248 -   MAT_COLORING_LF      - Last-first weighting.
1249 
1250     Level: intermediate
1251 
1252    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1253 E*/
1254 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1255 
1256 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1257 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1258 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1259 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1260 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1261 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1262 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1263 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1264 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1265 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1266 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1267 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1268 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1269 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1270 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1271 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1272 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1273 PETSC_DEPRECATED("Use MatColoringTest()") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1274 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1275 
1276 /*S
1277      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1278         and coloring
1279 
1280    Level: beginner
1281 
1282   Concepts: coloring, sparse Jacobian, finite differences
1283 
1284 .seealso:  MatFDColoringCreate()
1285 S*/
1286 typedef struct _p_MatFDColoring* MatFDColoring;
1287 
1288 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1289 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1290 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1291 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1292 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1293 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1294 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1295 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1296 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1297 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1298 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1299 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1300 
1301 
1302 /*S
1303      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1304 
1305    Level: beginner
1306 
1307   Concepts: coloring, sparse matrix product
1308 
1309 .seealso:  MatTransposeColoringCreate()
1310 S*/
1311 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1312 
1313 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1314 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1315 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1316 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1317 
1318 /*
1319     These routines are for partitioning matrices: currently used only
1320   for adjacency matrix, MatCreateMPIAdj().
1321 */
1322 
1323 /*S
1324      MatPartitioning - Object for managing the partitioning of a matrix or graph
1325 
1326    Level: beginner
1327 
1328   Concepts: partitioning
1329 
1330 .seealso:  MatPartitioningCreate(), MatPartitioningType
1331 S*/
1332 typedef struct _p_MatPartitioning* MatPartitioning;
1333 
1334 /*J
1335     MatPartitioningType - String with the name of a PETSc matrix partitioning
1336 
1337    Level: beginner
1338 dm
1339 .seealso: MatPartitioningCreate(), MatPartitioning
1340 J*/
1341 typedef const char* MatPartitioningType;
1342 #define MATPARTITIONINGCURRENT  "current"
1343 #define MATPARTITIONINGAVERAGE   "average"
1344 #define MATPARTITIONINGSQUARE   "square"
1345 #define MATPARTITIONINGPARMETIS "parmetis"
1346 #define MATPARTITIONINGCHACO    "chaco"
1347 #define MATPARTITIONINGPARTY    "party"
1348 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1349 #define MATPARTITIONINGHIERARCH  "hierarch"
1350 
1351 
1352 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1353 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1354 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1355 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1356 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1357 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1358 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1359 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1360 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1361 
1362 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1363 
1364 
1365 
1366 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1367 PETSC_STATIC_INLINE PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning A,PetscObject B,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,B,name);}
1368 
1369 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1370 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1371 
1372 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1373 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1374 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1375 
1376 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1377 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1378 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1379 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1380 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1381 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1382 
1383 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1384 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1385 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1386 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1387 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1388 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1389 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1390 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1391 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1392 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1393 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1394 
1395 #define MP_PARTY_OPT "opt"
1396 #define MP_PARTY_LIN "lin"
1397 #define MP_PARTY_SCA "sca"
1398 #define MP_PARTY_RAN "ran"
1399 #define MP_PARTY_GBF "gbf"
1400 #define MP_PARTY_GCF "gcf"
1401 #define MP_PARTY_BUB "bub"
1402 #define MP_PARTY_DEF "def"
1403 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1404 #define MP_PARTY_HELPFUL_SETS "hs"
1405 #define MP_PARTY_KERNIGHAN_LIN "kl"
1406 #define MP_PARTY_NONE "no"
1407 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1408 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1409 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1410 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1411 
1412 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1413 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1414 
1415 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1416 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1417 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1418 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1419 
1420 /*
1421  * hierarchical partitioning
1422  */
1423 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1424 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1425 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1426 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1427 
1428 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1429 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1430 
1431 /*
1432     If you add entries here you must also add them to petsc/finclude/petscmat.h
1433 */
1434 typedef enum { MATOP_SET_VALUES=0,
1435                MATOP_GET_ROW=1,
1436                MATOP_RESTORE_ROW=2,
1437                MATOP_MULT=3,
1438                MATOP_MULT_ADD=4,
1439                MATOP_MULT_TRANSPOSE=5,
1440                MATOP_MULT_TRANSPOSE_ADD=6,
1441                MATOP_SOLVE=7,
1442                MATOP_SOLVE_ADD=8,
1443                MATOP_SOLVE_TRANSPOSE=9,
1444                MATOP_SOLVE_TRANSPOSE_ADD=10,
1445                MATOP_LUFACTOR=11,
1446                MATOP_CHOLESKYFACTOR=12,
1447                MATOP_SOR=13,
1448                MATOP_TRANSPOSE=14,
1449                MATOP_GETINFO=15,
1450                MATOP_EQUAL=16,
1451                MATOP_GET_DIAGONAL=17,
1452                MATOP_DIAGONAL_SCALE=18,
1453                MATOP_NORM=19,
1454                MATOP_ASSEMBLY_BEGIN=20,
1455                MATOP_ASSEMBLY_END=21,
1456                MATOP_SET_OPTION=22,
1457                MATOP_ZERO_ENTRIES=23,
1458                MATOP_ZERO_ROWS=24,
1459                MATOP_LUFACTOR_SYMBOLIC=25,
1460                MATOP_LUFACTOR_NUMERIC=26,
1461                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1462                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1463                MATOP_SETUP_PREALLOCATION=29,
1464                MATOP_ILUFACTOR_SYMBOLIC=30,
1465                MATOP_ICCFACTOR_SYMBOLIC=31,
1466                MATOP_GET_DIAGONAL_BLOCK=32,
1467                /* MATOP_PLACEHOLDER_33=33, */
1468                MATOP_DUPLICATE=34,
1469                MATOP_FORWARD_SOLVE=35,
1470                MATOP_BACKWARD_SOLVE=36,
1471                MATOP_ILUFACTOR=37,
1472                MATOP_ICCFACTOR=38,
1473                MATOP_AXPY=39,
1474                MATOP_CREATE_SUBMATRICES=40,
1475                MATOP_INCREASE_OVERLAP=41,
1476                MATOP_GET_VALUES=42,
1477                MATOP_COPY=43,
1478                MATOP_GET_ROW_MAX=44,
1479                MATOP_SCALE=45,
1480                MATOP_SHIFT=46,
1481                MATOP_DIAGONAL_SET=47,
1482                MATOP_ZERO_ROWS_COLUMNS=48,
1483                MATOP_SET_RANDOM=49,
1484                MATOP_GET_ROW_IJ=50,
1485                MATOP_RESTORE_ROW_IJ=51,
1486                MATOP_GET_COLUMN_IJ=52,
1487                MATOP_RESTORE_COLUMN_IJ=53,
1488                MATOP_FDCOLORING_CREATE=54,
1489                MATOP_COLORING_PATCH=55,
1490                MATOP_SET_UNFACTORED=56,
1491                MATOP_PERMUTE=57,
1492                MATOP_SET_VALUES_BLOCKED=58,
1493                MATOP_CREATE_SUBMATRIX=59,
1494                MATOP_DESTROY=60,
1495                MATOP_VIEW=61,
1496                MATOP_CONVERT_FROM=62,
1497                MATOP_MATMAT_MULT=63,
1498                MATOP_MATMAT_MULT_SYMBOLIC=64,
1499                MATOP_MATMAT_MULT_NUMERIC=65,
1500                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1501                MATOP_SET_VALUES_LOCAL=67,
1502                MATOP_ZERO_ROWS_LOCAL=68,
1503                MATOP_GET_ROW_MAX_ABS=69,
1504                MATOP_GET_ROW_MIN_ABS=70,
1505                MATOP_CONVERT=71,
1506                MATOP_SET_COLORING=72,
1507                /* MATOP_PLACEHOLDER_73=73, */
1508                MATOP_SET_VALUES_ADIFOR=74,
1509                MATOP_FD_COLORING_APPLY=75,
1510                MATOP_SET_FROM_OPTIONS=76,
1511                MATOP_MULT_CONSTRAINED=77,
1512                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1513                MATOP_FIND_ZERO_DIAGONALS=79,
1514                MATOP_MULT_MULTIPLE=80,
1515                MATOP_SOLVE_MULTIPLE=81,
1516                MATOP_GET_INERTIA=82,
1517                MATOP_LOAD=83,
1518                MATOP_IS_SYMMETRIC=84,
1519                MATOP_IS_HERMITIAN=85,
1520                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1521                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1522                MATOP_CREATE_VECS=88,
1523                MATOP_MAT_MULT=89,
1524                MATOP_MAT_MULT_SYMBOLIC=90,
1525                MATOP_MAT_MULT_NUMERIC=91,
1526                MATOP_PTAP=92,
1527                MATOP_PTAP_SYMBOLIC=93,
1528                MATOP_PTAP_NUMERIC=94,
1529                MATOP_MAT_TRANSPOSE_MULT=95,
1530                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1531                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1532                /* MATOP_PLACEHOLDER_98=98, */
1533                /* MATOP_PLACEHOLDER_99=99, */
1534                /* MATOP_PLACEHOLDER_100=100, */
1535                /* MATOP_PLACEHOLDER_101=101, */
1536                MATOP_CONJUGATE=102,
1537                /* MATOP_PLACEHOLDER_103=103, */
1538                MATOP_SET_VALUES_ROW=104,
1539                MATOP_REAL_PART=105,
1540                MATOP_IMAGINARY_PART=106,
1541                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1542                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1543                MATOP_MAT_SOLVE=109,
1544                MATOP_MAT_SOLVE_TRANSPOSE=110,
1545                MATOP_GET_ROW_MIN=111,
1546                MATOP_GET_COLUMN_VECTOR=112,
1547                MATOP_MISSING_DIAGONAL=113,
1548                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1549                MATOP_CREATE=115,
1550                MATOP_GET_GHOSTS=116,
1551                MATOP_GET_LOCAL_SUB_MATRIX=117,
1552                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1553                MATOP_MULT_DIAGONAL_BLOCK=119,
1554                MATOP_HERMITIAN_TRANSPOSE=120,
1555                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1556                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1557                MATOP_GET_MULTI_PROC_BLOCK=123,
1558                MATOP_FIND_NONZERO_ROWS=124,
1559                MATOP_GET_COLUMN_NORMS=125,
1560                MATOP_INVERT_BLOCK_DIAGONAL=126,
1561                /* MATOP_PLACEHOLDER_127=127, */
1562                MATOP_CREATE_SUB_MATRICES_MPI=128,
1563                MATOP_SET_VALUES_BATCH=129,
1564                MATOP_TRANSPOSE_MAT_MULT=130,
1565                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1566                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1567                MATOP_TRANSPOSE_COLORING_CREAT=133,
1568                MATOP_TRANS_COLORING_APPLY_SPT=134,
1569                MATOP_TRANS_COLORING_APPLY_DEN=135,
1570                MATOP_RART=136,
1571                MATOP_RART_SYMBOLIC=137,
1572                MATOP_RART_NUMERIC=138,
1573                MATOP_SET_BLOCK_SIZES=139,
1574                MATOP_AYPX=140,
1575                MATOP_RESIDUAL=141,
1576                MATOP_FDCOLORING_SETUP=142,
1577                MATOP_MPICONCATENATESEQ=144,
1578                MATOP_DESTROYSUBMATRICES=145
1579              } MatOperation;
1580 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1581 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1582 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1583 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool *);
1584 
1585 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1586 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1587 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1588 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1589 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1590 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1591 
1592 /*
1593    Codes for matrices stored on disk. By default they are
1594    stored in a universal format. By changing the format with
1595    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1596    be stored in a way natural for the matrix, for example dense matrices
1597    would be stored as dense. Matrices stored this way may only be
1598    read into matrices of the same type.
1599 */
1600 #define MATRIX_BINARY_FORMAT_DENSE -1
1601 
1602 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1603 
1604 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1605 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1606 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1607 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1608 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1609 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1610 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1611 PETSC_EXTERN PETSC_DEPRECATED("Use the MatConvert() interface") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1612 
1613 /*S
1614      MatNullSpace - Object that removes a null space from a vector, i.e.
1615          orthogonalizes the vector to a subsapce
1616 
1617    Level: advanced
1618 
1619   Concepts: matrix; linear operator, null space
1620 
1621   Users manual sections:
1622 .   sec_singular
1623 
1624 .seealso:  MatNullSpaceCreate()
1625 S*/
1626 typedef struct _p_MatNullSpace* MatNullSpace;
1627 
1628 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1629 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1630 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1631 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1632 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1633 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1634 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1635 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1636 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1637 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1638 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1639 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1640 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1641 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1642 
1643 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1644 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1645 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1646 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1647 
1648 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1649 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1650 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1651 
1652 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1653 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperatorTranspose(Mat,Mat*);
1654 
1655 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1656 
1657 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1658 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1659 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1660 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1661 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1662 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1663 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1664 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1665 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1666 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1667 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1668 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1669 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1670 
1671 /*S
1672     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1673               Jacobian vector products
1674 
1675     Notes:
1676     MATMFFD is a specific MatType which uses the MatMFFD data structure
1677 
1678            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1679 
1680     Level: developer
1681 
1682 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1683 S*/
1684 typedef struct _p_MatMFFD* MatMFFD;
1685 
1686 /*J
1687     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1688 
1689    Level: beginner
1690 
1691 .seealso: MatMFFDSetType(), MatMFFDRegister()
1692 J*/
1693 typedef const char* MatMFFDType;
1694 #define MATMFFD_DS  "ds"
1695 #define MATMFFD_WP  "wp"
1696 
1697 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1698 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1699 
1700 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1701 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1702 
1703 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1704 
1705 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1706 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1707 
1708 /*
1709    PETSc interface to MUMPS
1710 */
1711 #ifdef PETSC_HAVE_MUMPS
1712 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1713 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1714 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1715 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1716 
1717 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1718 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1719 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1720 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1721 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1722 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1723 #endif
1724 
1725 /*
1726    PETSc interface to Mkl_Pardiso
1727 */
1728 #ifdef PETSC_HAVE_MKL_PARDISO
1729 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1730 #endif
1731 
1732 /*
1733    PETSc interface to Mkl_CPardiso
1734 */
1735 #ifdef PETSC_HAVE_MKL_CPARDISO
1736 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1737 #endif
1738 
1739 /*
1740    PETSc interface to SUPERLU
1741 */
1742 #ifdef PETSC_HAVE_SUPERLU
1743 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1744 #endif
1745 
1746 /*
1747    PETSc interface to SUPERLU_DIST
1748 */
1749 #ifdef PETSC_HAVE_SUPERLU_DIST
1750 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1751 #endif
1752 
1753 /*
1754    PETSc interface to STRUMPACK
1755 */
1756 #ifdef PETSC_HAVE_STRUMPACK
1757 /*E
1758     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1759 
1760     Level: intermediate
1761 E*/
1762 typedef enum {MAT_STRUMPACK_NATURAL=0,
1763               MAT_STRUMPACK_METIS=1,
1764               MAT_STRUMPACK_PARMETIS=2,
1765               MAT_STRUMPACK_SCOTCH=3,
1766               MAT_STRUMPACK_PTSCOTCH=4,
1767               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1768 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1769 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1770 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1771 PETSC_DEPRECATED ("Use MatSTRUMPACKSetHSSRelTol()") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1772 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1773 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1774 PETSC_DEPRECATED ("Use MatSTRUMPACKSetHSSMinSepSize()") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1775 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1776 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1777 #endif
1778 
1779 
1780 #ifdef PETSC_HAVE_CUDA
1781 /*E
1782     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1783     matrices.
1784 
1785     Not Collective
1786 
1787 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1788 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1789 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1790 
1791     Level: intermediate
1792 
1793    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1794 
1795 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1796 E*/
1797 
1798 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1799 
1800 /* these will be strings associated with enumerated type defined above */
1801 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1802 
1803 /*E
1804     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1805     matrices whose operation should use a particular storage format.
1806 
1807     Not Collective
1808 
1809 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1810 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1811 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1812 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1813 
1814     Level: intermediate
1815 
1816 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1817 E*/
1818 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1819 
1820 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1821 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1822 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1823 #endif
1824 
1825 #if defined(PETSC_HAVE_VIENNACL)
1826 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1827 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1828 #endif
1829 
1830 /*
1831    PETSc interface to FFTW
1832 */
1833 #if defined(PETSC_HAVE_FFTW)
1834 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1835 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1836 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1837 #endif
1838 
1839 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1840 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1841 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1842 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1843 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1844 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1845 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1846 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1847 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1848 
1849 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1850 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1851 
1852 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1853 
1854 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1855 
1856 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1857 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1858 
1859 #endif
1860