xref: /petsc/include/petscmat.h (revision ddee360bc436f8cbff4adbd1b992f470952a703c)
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 MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
150 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
151 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED("Use MatSolverType");
152 PETSC_DEPRECATED("Use MatSolverTypeRegister()") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscErrorCode(*f)(Mat,MatFactorType,Mat*))
153 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
154 PETSC_DEPRECATED("Use MatSolverTypeGet()") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageGet(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscBool *foundmtype,PetscBool *foundstype,PetscErrorCode(**f)(Mat,MatFactorType,Mat*))
155 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
156 
157 /* Logging support */
158 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
159 PETSC_EXTERN PetscClassId MAT_CLASSID;
160 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
161 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
162 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
163 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
164 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
165 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
166 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
167 
168 /*E
169     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
170      are to be reused to store the new matrix values.
171 
172 $  MAT_INITIAL_MATRIX - create a new matrix
173 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
174 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
175 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
176 
177     Level: beginner
178 
179    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
180 
181 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
182 E*/
183 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
184 
185 /*E
186     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
187      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
188 
189     Level: beginner
190 
191 .seealso: MatGetSeqNonzerostructure()
192 E*/
193 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
194 
195 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
196 
197 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
198 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
199 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
200 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
201 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
202 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
203 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
204 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
205 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
206 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
207 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
208 
209 PETSC_EXTERN PetscFunctionList MatList;
210 PETSC_EXTERN PetscFunctionList MatColoringList;
211 PETSC_EXTERN PetscFunctionList MatPartitioningList;
212 
213 /*E
214     MatStructure - Indicates if two matrices have the same nonzero structure
215 
216     Level: beginner
217 
218    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
219 
220 .seealso: MatCopy(), MatAXPY()
221 E*/
222 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
223 
224 #if defined PETSC_HAVE_MKL_SPARSE
225 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
229 #endif
230 
231 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
234 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
235 
236 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
237 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
238 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
240 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
241 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
242 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
243 
244 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
247 
248 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
249 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
250 
251 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
252 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
253 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
254 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
255 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
256 
257 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
258 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
259 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
260 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
261 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
262 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
263 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
264 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
265 
266 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
267 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
268 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
269 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
270 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
271 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
272 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
273 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
274 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
275 
276 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
277 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
278 
279 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
280 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
281 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(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_OPTION_MAX = 23} MatOption;
393 
394 PETSC_EXTERN const char *const *MatOptions;
395 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
396 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
397 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
398 
399 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
400 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
401 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
402 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
403 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
404 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
405 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
406 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
407 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
408 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
409 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
410 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
411 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
412 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
413 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
414 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
415 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
416 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
417 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
418 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
419 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
420 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
421 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
422 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
423 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
424 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
425 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
426 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
427 
428 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar *[]);
429 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar *[]);
430 
431 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
432 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
433 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
434 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
435 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
436 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
437 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
438 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
439 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
440 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
441 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
442 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
443 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
444 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
445 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
446 
447 /*E
448     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
449   its numerical values copied over or just its nonzero structure.
450 
451     Level: beginner
452 
453    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
454 
455 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
456 $                               with zeros for the numerical values.
457 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
458 $                               and with the same numerical values.
459 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
460 $                               and does not copy it, using zeros for the numerical values. The parent and
461 $                               child matrices will share their index (i and j) arrays, and you cannot
462 $                               insert new nonzero entries into either matrix.
463 
464 Notes:
465     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
466 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
467 
468 .seealso: MatDuplicate()
469 E*/
470 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
471 
472 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
473 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
474 
475 
476 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
477 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
478 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
479 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
480 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
481 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
482 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
483 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
484 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
485 
486 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
487 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
488 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
489 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
490 
491 /*S
492      MatInfo - Context of matrix information, used with MatGetInfo()
493 
494    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
495 
496    Level: intermediate
497 
498   Concepts: matrix^nonzero information
499 
500 .seealso:  MatGetInfo(), MatInfoType
501 S*/
502 typedef struct {
503   PetscLogDouble block_size;                         /* block size */
504   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
505   PetscLogDouble memory;                             /* memory allocated */
506   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
507   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
508   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
509   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
510 } MatInfo;
511 
512 /*E
513     MatInfoType - Indicates if you want information about the local part of the matrix,
514      the entire parallel matrix or the maximum over all the local parts.
515 
516     Level: beginner
517 
518    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
519 
520 .seealso: MatGetInfo(), MatInfo
521 E*/
522 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
523 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
524 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
525 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
526 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
527 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
528 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
529 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
530 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
531 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
532 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
533 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
534 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
535 
536 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
537 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
538 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
539 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
540 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
541 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
542 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
543 
544 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
545 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
546 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
547 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
550 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
552 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
553 
554 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
555 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
556 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
557 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
558 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
559 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
560 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
561 
562 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
563 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);}
564 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
565 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);}
566 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
567 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
568 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
569 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);}
570 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
571 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
572 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
573 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
574 
575 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
576 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
577 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
578 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
579 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
580 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
581 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
582 
583 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
584 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
585 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
586 
587 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
588 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
589 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
590 
591 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
592 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
593 
594 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
595 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
596 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
597 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
598 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
599 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
600 
601 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
602 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
603 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
604 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
605 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
606 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
607 
608 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
609 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
610 
611 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
612 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
613 
614 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
615 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
616 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
617 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
618 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
619 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
620 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
621 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
622 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
623 
624 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
625 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
626 
627 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
628 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
629 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
630 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
631 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
632 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
633 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
634 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
635 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
636 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
637 
638 /*MC
639    MatSetValue - Set a single entry into a matrix.
640 
641    Not collective
642 
643    Synopsis:
644      #include <petscmat.h>
645      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
646 
647    Input Parameters:
648 +  m - the matrix
649 .  row - the row location of the entry
650 .  col - the column location of the entry
651 .  value - the value to insert
652 -  mode - either INSERT_VALUES or ADD_VALUES
653 
654    Notes:
655    For efficiency one should use MatSetValues() and set several or many
656    values simultaneously if possible.
657 
658    Level: beginner
659 
660 .seealso: MatSetValues(), MatSetValueLocal()
661 M*/
662 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
663 
664 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
665 
666 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
667 
668 /*MC
669    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
670        row in a matrix providing the data that one can use to correctly preallocate the matrix.
671 
672    Synopsis:
673    #include <petscmat.h>
674    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
675 
676    Collective on MPI_Comm
677 
678    Input Parameters:
679 +  comm - the communicator that will share the eventually allocated matrix
680 .  nrows - the number of LOCAL rows in the matrix
681 -  ncols - the number of LOCAL columns in the matrix
682 
683    Output Parameters:
684 +  dnz - the array that will be passed to the matrix preallocation routines
685 -  onz - the other array passed to the matrix preallocation routines
686 
687    Level: intermediate
688 
689    Notes:
690     See Users-Manual: ch_performance for more details.
691 
692    Do not malloc or free dnz and onz, that is handled internally by these routines
693 
694    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
695 
696    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
697 
698   Concepts: preallocation^Matrix
699 
700 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
701           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
702 M*/
703 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
704 { \
705   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
706   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
707   __start = 0; __end = __start;                                         \
708   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ncols;\
709   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
710 
711 /*MC
712    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
713        inserted using a local number of the rows and columns
714 
715    Synopsis:
716    #include <petscmat.h>
717    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
718 
719    Not Collective
720 
721    Input Parameters:
722 +  map - the row mapping from local numbering to global numbering
723 .  nrows - the number of rows indicated
724 .  rows - the indices of the rows
725 .  cmap - the column mapping from local to global numbering
726 .  ncols - the number of columns in the matrix
727 .  cols - the columns indicated
728 .  dnz - the array that will be passed to the matrix preallocation routines
729 -  onz - the other array passed to the matrix preallocation routines
730 
731    Level: intermediate
732 
733    Notes:
734     See Users-Manual: ch_performance for more details.
735 
736    Do not malloc or free dnz and onz, that is handled internally by these routines
737 
738   Concepts: preallocation^Matrix
739 
740 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
741           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
742 M*/
743 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
744 {\
745   PetscInt __l;\
746   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
747   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
748   for (__l=0;__l<nrows;__l++) {\
749     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
750   }\
751 }
752 
753 /*MC
754    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
755        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
756 
757    Synopsis:
758    #include <petscmat.h>
759    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
760 
761    Not Collective
762 
763    Input Parameters:
764 +  map - the row mapping from local numbering to global numbering
765 .  nrows - the number of rows indicated
766 .  rows - the indices of the rows (these values are mapped to the global values)
767 .  cmap - the column mapping from local to global numbering
768 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
769 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
770 .  dnz - the array that will be passed to the matrix preallocation routines
771 -  onz - the other array passed to the matrix preallocation routines
772 
773    Level: intermediate
774 
775    Notes:
776     See Users-Manual: ch_performance for more details.
777 
778    Do not malloc or free dnz and onz, that is handled internally by these routines
779 
780   Concepts: preallocation^Matrix
781 
782 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
783           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
784 M*/
785 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
786 {\
787   PetscInt __l;\
788   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
789   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
790   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
791   for (__l=0;__l<nrows;__l++) {\
792     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
793   }\
794 }
795 
796 /*MC
797    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
798        inserted using a local number of the rows and columns
799 
800    Synopsis:
801    #include <petscmat.h>
802    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
803 
804    Not Collective
805 
806    Input Parameters:
807 +  map - the row mapping from local numbering to global numbering
808 .  nrows - the number of rows indicated
809 .  rows - the indices of the rows
810 .  cmap - the column mapping from local to global numbering
811 .  ncols - the number of columns in the matrix
812 .  cols - the columns indicated
813 .  dnz - the array that will be passed to the matrix preallocation routines
814 -  onz - the other array passed to the matrix preallocation routines
815 
816    Level: intermediate
817 
818    Notes:
819     See Users-Manual: ch_performance for more details.
820 
821    Do not malloc or free dnz and onz, that is handled internally by these routines
822 
823   Concepts: preallocation^Matrix
824 
825 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
826           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
827 M*/
828 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
829 {\
830   PetscInt __l;\
831   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
832   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
833   for (__l=0;__l<nrows;__l++) {\
834     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
835   }\
836 }
837 
838 /*MC
839    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
840        inserted using a local number of the rows and columns
841 
842    Synopsis:
843    #include <petscmat.h>
844    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
845 
846    Not Collective
847 
848    Input Parameters:
849 +  map - the mapping between local numbering and global numbering
850 .  nrows - the number of rows indicated
851 .  rows - the indices of the rows
852 .  ncols - the number of columns in the matrix
853 .  cols - the columns indicated
854 .  dnz - the array that will be passed to the matrix preallocation routines
855 -  onz - the other array passed to the matrix preallocation routines
856 
857    Level: intermediate
858 
859    Notes:
860     See Users-Manual: ch_performance for more details.
861 
862    Do not malloc or free dnz and onz that is handled internally by these routines
863 
864   Concepts: preallocation^Matrix
865 
866 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
867           MatPreallocateInitialize(),  MatPreallocateSetLocal()
868 M*/
869 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
870 {\
871   PetscInt __l;\
872   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
873   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
874   for (__l=0;__l<nrows;__l++) {\
875     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
876   }\
877 }
878 /*MC
879    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
880        inserted using a local number of the rows and columns
881 
882    Synopsis:
883    #include <petscmat.h>
884    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
885 
886    Not Collective
887 
888    Input Parameters:
889 +  row - the row
890 .  ncols - the number of columns in the matrix
891 -  cols - the columns indicated
892 
893    Output Parameters:
894 +  dnz - the array that will be passed to the matrix preallocation routines
895 -  onz - the other array passed to the matrix preallocation routines
896 
897    Level: intermediate
898 
899    Notes:
900     See Users-Manual: ch_performance for more details.
901 
902    Do not malloc or free dnz and onz that is handled internally by these routines
903 
904    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
905 
906   Concepts: preallocation^Matrix
907 
908 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
909           MatPreallocateInitialize(), MatPreallocateSetLocal()
910 M*/
911 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
912 { PetscInt __i; \
913   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);\
914   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);\
915   for (__i=0; __i<nc; __i++) {\
916     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
917     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
918   }\
919 }
920 
921 /*MC
922    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
923        inserted using a local number of the rows and columns
924 
925    Synopsis:
926    #include <petscmat.h>
927    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
928 
929    Not Collective
930 
931    Input Parameters:
932 +  nrows - the number of rows indicated
933 .  rows - the indices of the rows
934 .  ncols - the number of columns in the matrix
935 .  cols - the columns indicated
936 .  dnz - the array that will be passed to the matrix preallocation routines
937 -  onz - the other array passed to the matrix preallocation routines
938 
939    Level: intermediate
940 
941    Notes:
942     See Users-Manual: ch_performance for more details.
943 
944    Do not malloc or free dnz and onz that is handled internally by these routines
945 
946    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
947 
948   Concepts: preallocation^Matrix
949 
950 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
951           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
952 M*/
953 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
954 { PetscInt __i; \
955   for (__i=0; __i<nc; __i++) {\
956     if (cols[__i] >= __end) onz[row - __rstart]++; \
957     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
958   }\
959 }
960 
961 /*MC
962    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
963 
964    Synopsis:
965    #include <petscmat.h>
966    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
967 
968    Not Collective
969 
970    Input Parameters:
971 .  A - matrix
972 .  row - row where values exist (must be local to this process)
973 .  ncols - number of columns
974 .  cols - columns with nonzeros
975 .  dnz - the array that will be passed to the matrix preallocation routines
976 -  onz - the other array passed to the matrix preallocation routines
977 
978    Level: intermediate
979 
980    Notes:
981     See Users-Manual: ch_performance for more details.
982 
983    Do not malloc or free dnz and onz that is handled internally by these routines
984 
985    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
986 
987   Concepts: preallocation^Matrix
988 
989 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
990           MatPreallocateSymmetricSetLocalBlock()
991 M*/
992 #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);}
993 
994 
995 /*MC
996    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
997        row in a matrix providing the data that one can use to correctly preallocate the matrix.
998 
999    Synopsis:
1000    #include <petscmat.h>
1001    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1002 
1003    Collective on MPI_Comm
1004 
1005    Input Parameters:
1006 +  dnz - the array that was be passed to the matrix preallocation routines
1007 -  onz - the other array passed to the matrix preallocation routines
1008 
1009    Level: intermediate
1010 
1011    Notes:
1012     See Users-Manual: ch_performance for more details.
1013 
1014    Do not malloc or free dnz and onz that is handled internally by these routines
1015 
1016    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1017 
1018   Concepts: preallocation^Matrix
1019 
1020 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1021           MatPreallocateSymmetricSetLocalBlock()
1022 M*/
1023 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
1024 
1025 /* Routines unique to particular data structures */
1026 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1027 
1028 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1029 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1030 
1031 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1032 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1033 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1034 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1035 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1036 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1037 
1038 #define MAT_SKIP_ALLOCATION -4
1039 
1040 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1041 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1042 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1043 
1044 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1045 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1046 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1047 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1048 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1049 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1050 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1051 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1052 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1053 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1054 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1055 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1056 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1057 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1058 
1059 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1060 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1061 
1062 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1063 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1064 
1065 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1066 
1067 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1068 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1069 /*
1070   These routines are not usually accessed directly, rather solving is
1071   done through the KSP and PC interfaces.
1072 */
1073 
1074 /*J
1075     MatOrderingType - String with the name of a PETSc matrix ordering
1076 
1077    Level: beginner
1078 
1079 .seealso: MatGetOrdering()
1080 J*/
1081 typedef const char* MatOrderingType;
1082 #define MATORDERINGNATURAL     "natural"
1083 #define MATORDERINGND          "nd"
1084 #define MATORDERING1WD         "1wd"
1085 #define MATORDERINGRCM         "rcm"
1086 #define MATORDERINGQMD         "qmd"
1087 #define MATORDERINGROWLENGTH   "rowlength"
1088 #define MATORDERINGWBM         "wbm"
1089 #define MATORDERINGSPECTRAL    "spectral"
1090 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1091 
1092 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1093 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1094 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1095 PETSC_EXTERN PetscFunctionList MatOrderingList;
1096 
1097 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1098 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1099 
1100 /*S
1101     MatFactorShiftType - Numeric Shift.
1102 
1103    Level: beginner
1104 
1105 S*/
1106 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1107 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1108 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1109 
1110 /*S
1111     MatFactorError - indicates what type of error in matrix factor
1112 
1113     Level: beginner
1114 
1115     Developer Notes:
1116     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1117 
1118 .seealso: MatGetFactor()
1119 S*/
1120 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1121 
1122 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1123 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1124 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1125 
1126 /*S
1127    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1128 
1129    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1130 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1131 
1132    Notes:
1133     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1134 
1135       You can use MatFactorInfoInitialize() to set default values.
1136 
1137    Level: developer
1138 
1139 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1140           MatFactorInfoInitialize()
1141 
1142 S*/
1143 typedef struct {
1144   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1145   PetscReal     usedt;
1146   PetscReal     dt;             /* drop tolerance */
1147   PetscReal     dtcol;          /* tolerance for pivoting */
1148   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1149   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1150   PetscReal     levels;         /* ICC/ILU(levels) */
1151   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1152                                    factorization may be faster if do not pivot */
1153   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1154   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1155   PetscReal     shiftamount;     /* how large the shift is */
1156 } MatFactorInfo;
1157 
1158 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1159 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1160 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1161 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1162 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1163 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1164 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1165 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1166 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1167 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1168 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1169 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1170 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1171 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1172 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1173 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1174 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1175 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1176 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1177 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1178 
1179 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1180 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1181 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1182 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1183 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1184 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1185 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1186 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1187 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1188 
1189 /*E
1190     MatSORType - What type of (S)SOR to perform
1191 
1192     Level: beginner
1193 
1194    May be bitwise ORd together
1195 
1196    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1197 
1198    MatSORType may be bitwise ORd together, so do not change the numbers
1199 
1200 .seealso: MatSOR()
1201 E*/
1202 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1203               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1204               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1205               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1206 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1207 
1208 /*
1209     These routines are for efficiently computing Jacobians via finite differences.
1210 */
1211 
1212 /*S
1213      MatColoring - Object for managing the coloring of matrices.
1214 
1215    Level: beginner
1216 
1217   Concepts: matrix, coloring
1218 
1219 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1220 S*/
1221 typedef struct _p_MatColoring* MatColoring;
1222 /*J
1223     MatColoringType - String with the name of a PETSc matrix coloring
1224 
1225    Level: beginner
1226 
1227 .seealso: MatColoringSetType(), MatColoring
1228 J*/
1229 
1230 typedef const  char*           MatColoringType;
1231 #define MATCOLORINGJP      "jp"
1232 #define MATCOLORINGPOWER   "power"
1233 #define MATCOLORINGNATURAL "natural"
1234 #define MATCOLORINGSL      "sl"
1235 #define MATCOLORINGLF      "lf"
1236 #define MATCOLORINGID      "id"
1237 #define MATCOLORINGGREEDY  "greedy"
1238 
1239 /*E
1240    MatColoringWeightType - Type of weight scheme
1241 
1242     Not Collective
1243 
1244 +   MAT_COLORING_RANDOM  - Random weights
1245 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1246 -   MAT_COLORING_LF      - Last-first weighting.
1247 
1248     Level: intermediate
1249 
1250    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1251 E*/
1252 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1253 
1254 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1255 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1256 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1257 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1258 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1259 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1260 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1261 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1262 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1263 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1264 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1265 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1266 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1267 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1268 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1269 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1270 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1271 PETSC_DEPRECATED("Use MatColoringTest()") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1272 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1273 
1274 /*S
1275      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1276         and coloring
1277 
1278    Level: beginner
1279 
1280   Concepts: coloring, sparse Jacobian, finite differences
1281 
1282 .seealso:  MatFDColoringCreate()
1283 S*/
1284 typedef struct _p_MatFDColoring* MatFDColoring;
1285 
1286 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1287 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1288 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1289 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1290 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1291 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1292 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1293 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1294 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1295 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1296 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1297 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1298 
1299 
1300 /*S
1301      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1302 
1303    Level: beginner
1304 
1305   Concepts: coloring, sparse matrix product
1306 
1307 .seealso:  MatTransposeColoringCreate()
1308 S*/
1309 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1310 
1311 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1312 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1313 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1314 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1315 
1316 /*
1317     These routines are for partitioning matrices: currently used only
1318   for adjacency matrix, MatCreateMPIAdj().
1319 */
1320 
1321 /*S
1322      MatPartitioning - Object for managing the partitioning of a matrix or graph
1323 
1324    Level: beginner
1325 
1326   Concepts: partitioning
1327 
1328 .seealso:  MatPartitioningCreate(), MatPartitioningType
1329 S*/
1330 typedef struct _p_MatPartitioning* MatPartitioning;
1331 
1332 /*J
1333     MatPartitioningType - String with the name of a PETSc matrix partitioning
1334 
1335    Level: beginner
1336 dm
1337 .seealso: MatPartitioningCreate(), MatPartitioning
1338 J*/
1339 typedef const char* MatPartitioningType;
1340 #define MATPARTITIONINGCURRENT  "current"
1341 #define MATPARTITIONINGAVERAGE   "average"
1342 #define MATPARTITIONINGSQUARE   "square"
1343 #define MATPARTITIONINGPARMETIS "parmetis"
1344 #define MATPARTITIONINGCHACO    "chaco"
1345 #define MATPARTITIONINGPARTY    "party"
1346 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1347 #define MATPARTITIONINGHIERARCH  "hierarch"
1348 
1349 
1350 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1351 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1352 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1353 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1354 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1355 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1356 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1357 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1358 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1359 
1360 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1361 
1362 
1363 
1364 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1365 PETSC_STATIC_INLINE PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning A,PetscObject B,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,B,name);}
1366 
1367 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1368 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1369 
1370 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1371 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1372 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1373 
1374 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1375 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1376 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1377 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1378 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1379 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1380 
1381 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1382 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1383 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1384 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1385 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1386 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1387 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1388 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1389 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1390 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1391 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1392 
1393 #define MP_PARTY_OPT "opt"
1394 #define MP_PARTY_LIN "lin"
1395 #define MP_PARTY_SCA "sca"
1396 #define MP_PARTY_RAN "ran"
1397 #define MP_PARTY_GBF "gbf"
1398 #define MP_PARTY_GCF "gcf"
1399 #define MP_PARTY_BUB "bub"
1400 #define MP_PARTY_DEF "def"
1401 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1402 #define MP_PARTY_HELPFUL_SETS "hs"
1403 #define MP_PARTY_KERNIGHAN_LIN "kl"
1404 #define MP_PARTY_NONE "no"
1405 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1406 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1407 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1408 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1409 
1410 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1411 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1412 
1413 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1414 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1415 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1416 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1417 
1418 /*
1419  * hierarchical partitioning
1420  */
1421 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1422 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1423 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1424 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1425 
1426 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1427 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1428 
1429 /*
1430     If you add entries here you must also add them to petsc/finclude/petscmat.h
1431 */
1432 typedef enum { MATOP_SET_VALUES=0,
1433                MATOP_GET_ROW=1,
1434                MATOP_RESTORE_ROW=2,
1435                MATOP_MULT=3,
1436                MATOP_MULT_ADD=4,
1437                MATOP_MULT_TRANSPOSE=5,
1438                MATOP_MULT_TRANSPOSE_ADD=6,
1439                MATOP_SOLVE=7,
1440                MATOP_SOLVE_ADD=8,
1441                MATOP_SOLVE_TRANSPOSE=9,
1442                MATOP_SOLVE_TRANSPOSE_ADD=10,
1443                MATOP_LUFACTOR=11,
1444                MATOP_CHOLESKYFACTOR=12,
1445                MATOP_SOR=13,
1446                MATOP_TRANSPOSE=14,
1447                MATOP_GETINFO=15,
1448                MATOP_EQUAL=16,
1449                MATOP_GET_DIAGONAL=17,
1450                MATOP_DIAGONAL_SCALE=18,
1451                MATOP_NORM=19,
1452                MATOP_ASSEMBLY_BEGIN=20,
1453                MATOP_ASSEMBLY_END=21,
1454                MATOP_SET_OPTION=22,
1455                MATOP_ZERO_ENTRIES=23,
1456                MATOP_ZERO_ROWS=24,
1457                MATOP_LUFACTOR_SYMBOLIC=25,
1458                MATOP_LUFACTOR_NUMERIC=26,
1459                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1460                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1461                MATOP_SETUP_PREALLOCATION=29,
1462                MATOP_ILUFACTOR_SYMBOLIC=30,
1463                MATOP_ICCFACTOR_SYMBOLIC=31,
1464                MATOP_GET_DIAGONAL_BLOCK=32,
1465                /* MATOP_PLACEHOLDER_33=33, */
1466                MATOP_DUPLICATE=34,
1467                MATOP_FORWARD_SOLVE=35,
1468                MATOP_BACKWARD_SOLVE=36,
1469                MATOP_ILUFACTOR=37,
1470                MATOP_ICCFACTOR=38,
1471                MATOP_AXPY=39,
1472                MATOP_CREATE_SUBMATRICES=40,
1473                MATOP_INCREASE_OVERLAP=41,
1474                MATOP_GET_VALUES=42,
1475                MATOP_COPY=43,
1476                MATOP_GET_ROW_MAX=44,
1477                MATOP_SCALE=45,
1478                MATOP_SHIFT=46,
1479                MATOP_DIAGONAL_SET=47,
1480                MATOP_ZERO_ROWS_COLUMNS=48,
1481                MATOP_SET_RANDOM=49,
1482                MATOP_GET_ROW_IJ=50,
1483                MATOP_RESTORE_ROW_IJ=51,
1484                MATOP_GET_COLUMN_IJ=52,
1485                MATOP_RESTORE_COLUMN_IJ=53,
1486                MATOP_FDCOLORING_CREATE=54,
1487                MATOP_COLORING_PATCH=55,
1488                MATOP_SET_UNFACTORED=56,
1489                MATOP_PERMUTE=57,
1490                MATOP_SET_VALUES_BLOCKED=58,
1491                MATOP_CREATE_SUBMATRIX=59,
1492                MATOP_DESTROY=60,
1493                MATOP_VIEW=61,
1494                MATOP_CONVERT_FROM=62,
1495                MATOP_MATMAT_MULT=63,
1496                MATOP_MATMAT_MULT_SYMBOLIC=64,
1497                MATOP_MATMAT_MULT_NUMERIC=65,
1498                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1499                MATOP_SET_VALUES_LOCAL=67,
1500                MATOP_ZERO_ROWS_LOCAL=68,
1501                MATOP_GET_ROW_MAX_ABS=69,
1502                MATOP_GET_ROW_MIN_ABS=70,
1503                MATOP_CONVERT=71,
1504                MATOP_SET_COLORING=72,
1505                /* MATOP_PLACEHOLDER_73=73, */
1506                MATOP_SET_VALUES_ADIFOR=74,
1507                MATOP_FD_COLORING_APPLY=75,
1508                MATOP_SET_FROM_OPTIONS=76,
1509                MATOP_MULT_CONSTRAINED=77,
1510                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1511                MATOP_FIND_ZERO_DIAGONALS=79,
1512                MATOP_MULT_MULTIPLE=80,
1513                MATOP_SOLVE_MULTIPLE=81,
1514                MATOP_GET_INERTIA=82,
1515                MATOP_LOAD=83,
1516                MATOP_IS_SYMMETRIC=84,
1517                MATOP_IS_HERMITIAN=85,
1518                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1519                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1520                MATOP_CREATE_VECS=88,
1521                MATOP_MAT_MULT=89,
1522                MATOP_MAT_MULT_SYMBOLIC=90,
1523                MATOP_MAT_MULT_NUMERIC=91,
1524                MATOP_PTAP=92,
1525                MATOP_PTAP_SYMBOLIC=93,
1526                MATOP_PTAP_NUMERIC=94,
1527                MATOP_MAT_TRANSPOSE_MULT=95,
1528                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1529                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1530                /* MATOP_PLACEHOLDER_98=98, */
1531                /* MATOP_PLACEHOLDER_99=99, */
1532                /* MATOP_PLACEHOLDER_100=100, */
1533                /* MATOP_PLACEHOLDER_101=101, */
1534                MATOP_CONJUGATE=102,
1535                /* MATOP_PLACEHOLDER_103=103, */
1536                MATOP_SET_VALUES_ROW=104,
1537                MATOP_REAL_PART=105,
1538                MATOP_IMAGINARY_PART=106,
1539                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1540                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1541                MATOP_MAT_SOLVE=109,
1542                MATOP_MAT_SOLVE_TRANSPOSE=110,
1543                MATOP_GET_ROW_MIN=111,
1544                MATOP_GET_COLUMN_VECTOR=112,
1545                MATOP_MISSING_DIAGONAL=113,
1546                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1547                MATOP_CREATE=115,
1548                MATOP_GET_GHOSTS=116,
1549                MATOP_GET_LOCAL_SUB_MATRIX=117,
1550                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1551                MATOP_MULT_DIAGONAL_BLOCK=119,
1552                MATOP_HERMITIAN_TRANSPOSE=120,
1553                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1554                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1555                MATOP_GET_MULTI_PROC_BLOCK=123,
1556                MATOP_FIND_NONZERO_ROWS=124,
1557                MATOP_GET_COLUMN_NORMS=125,
1558                MATOP_INVERT_BLOCK_DIAGONAL=126,
1559                /* MATOP_PLACEHOLDER_127=127, */
1560                MATOP_CREATE_SUB_MATRICES_MPI=128,
1561                MATOP_SET_VALUES_BATCH=129,
1562                MATOP_TRANSPOSE_MAT_MULT=130,
1563                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1564                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1565                MATOP_TRANSPOSE_COLORING_CREAT=133,
1566                MATOP_TRANS_COLORING_APPLY_SPT=134,
1567                MATOP_TRANS_COLORING_APPLY_DEN=135,
1568                MATOP_RART=136,
1569                MATOP_RART_SYMBOLIC=137,
1570                MATOP_RART_NUMERIC=138,
1571                MATOP_SET_BLOCK_SIZES=139,
1572                MATOP_AYPX=140,
1573                MATOP_RESIDUAL=141,
1574                MATOP_FDCOLORING_SETUP=142,
1575                MATOP_MPICONCATENATESEQ=144,
1576                MATOP_DESTROYSUBMATRICES=145
1577              } MatOperation;
1578 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1579 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1580 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1581 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool *);
1582 
1583 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1584 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1585 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1586 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1587 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1588 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1589 
1590 /*
1591    Codes for matrices stored on disk. By default they are
1592    stored in a universal format. By changing the format with
1593    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1594    be stored in a way natural for the matrix, for example dense matrices
1595    would be stored as dense. Matrices stored this way may only be
1596    read into matrices of the same type.
1597 */
1598 #define MATRIX_BINARY_FORMAT_DENSE -1
1599 
1600 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1601 
1602 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1603 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1604 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
1605 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1606 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1607 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1608 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1609 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1610 PETSC_EXTERN PETSC_DEPRECATED("Use the MatConvert() interface") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1611 
1612 /*S
1613      MatNullSpace - Object that removes a null space from a vector, i.e.
1614          orthogonalizes the vector to a subsapce
1615 
1616    Level: advanced
1617 
1618   Concepts: matrix; linear operator, null space
1619 
1620   Users manual sections:
1621 .   sec_singular
1622 
1623 .seealso:  MatNullSpaceCreate()
1624 S*/
1625 typedef struct _p_MatNullSpace* MatNullSpace;
1626 
1627 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1628 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1629 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1630 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1631 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1632 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1633 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1634 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1635 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1636 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1637 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1638 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1639 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1640 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1641 
1642 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1643 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1644 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1645 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1646 
1647 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1648 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1649 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1650 
1651 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1652 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperatorTranspose(Mat,Mat*);
1653 
1654 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1655 
1656 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1657 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1658 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1659 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1660 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1661 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1662 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1663 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1664 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1665 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1666 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1667 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1668 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1669 
1670 /*S
1671     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1672               Jacobian vector products
1673 
1674     Notes:
1675     MATMFFD is a specific MatType which uses the MatMFFD data structure
1676 
1677            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1678 
1679     Level: developer
1680 
1681 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1682 S*/
1683 typedef struct _p_MatMFFD* MatMFFD;
1684 
1685 /*J
1686     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1687 
1688    Level: beginner
1689 
1690 .seealso: MatMFFDSetType(), MatMFFDRegister()
1691 J*/
1692 typedef const char* MatMFFDType;
1693 #define MATMFFD_DS  "ds"
1694 #define MATMFFD_WP  "wp"
1695 
1696 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1697 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1698 
1699 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1700 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1701 
1702 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1703 
1704 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1705 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1706 
1707 /*
1708    PETSc interface to MUMPS
1709 */
1710 #ifdef PETSC_HAVE_MUMPS
1711 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1712 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1713 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1714 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1715 
1716 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1717 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1718 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1719 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1720 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1721 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1722 #endif
1723 
1724 /*
1725    PETSc interface to Mkl_Pardiso
1726 */
1727 #ifdef PETSC_HAVE_MKL_PARDISO
1728 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1729 #endif
1730 
1731 /*
1732    PETSc interface to Mkl_CPardiso
1733 */
1734 #ifdef PETSC_HAVE_MKL_CPARDISO
1735 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1736 #endif
1737 
1738 /*
1739    PETSc interface to SUPERLU
1740 */
1741 #ifdef PETSC_HAVE_SUPERLU
1742 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1743 #endif
1744 
1745 /*
1746    PETSc interface to SUPERLU_DIST
1747 */
1748 #ifdef PETSC_HAVE_SUPERLU_DIST
1749 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1750 #endif
1751 
1752 /*
1753    PETSc interface to STRUMPACK
1754 */
1755 #ifdef PETSC_HAVE_STRUMPACK
1756 /*E
1757     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1758 
1759     Level: intermediate
1760 E*/
1761 typedef enum {MAT_STRUMPACK_NATURAL=0,
1762               MAT_STRUMPACK_METIS=1,
1763               MAT_STRUMPACK_PARMETIS=2,
1764               MAT_STRUMPACK_SCOTCH=3,
1765               MAT_STRUMPACK_PTSCOTCH=4,
1766               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1767 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1768 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1769 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1770 PETSC_DEPRECATED ("Use MatSTRUMPACKSetHSSRelTol()") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1771 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1772 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1773 PETSC_DEPRECATED ("Use MatSTRUMPACKSetHSSMinSepSize()") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1774 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1775 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1776 #endif
1777 
1778 
1779 #ifdef PETSC_HAVE_CUDA
1780 /*E
1781     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1782     matrices.
1783 
1784     Not Collective
1785 
1786 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1787 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1788 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1789 
1790     Level: intermediate
1791 
1792    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1793 
1794 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1795 E*/
1796 
1797 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1798 
1799 /* these will be strings associated with enumerated type defined above */
1800 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1801 
1802 /*E
1803     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1804     matrices whose operation should use a particular storage format.
1805 
1806     Not Collective
1807 
1808 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1809 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1810 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1811 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1812 
1813     Level: intermediate
1814 
1815 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1816 E*/
1817 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1818 
1819 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1820 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1821 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1822 #endif
1823 
1824 #if defined(PETSC_HAVE_VIENNACL)
1825 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1826 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1827 #endif
1828 
1829 /*
1830    PETSc interface to FFTW
1831 */
1832 #if defined(PETSC_HAVE_FFTW)
1833 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1834 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1835 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1836 #endif
1837 
1838 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1839 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1840 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1841 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1842 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1843 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1844 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1845 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1846 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1847 
1848 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1849 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1850 
1851 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1852 
1853 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1854 
1855 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1856 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1857 
1858 #endif
1859